# No SInE strategy applied

# Auto-Ordering is analysing problem.
# Problem is type GHSMNFFMM31MS
# Auto-mode selected ordering type KBO6
# Auto-mode selected ordering precedence scheme <invfreq>
# Auto-mode selected weight ordering scheme <invfreqrank>
#
# Auto-Heuristic is analysing problem.
# Problem is type GHSMNFFMM31MS
# Auto-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Initializing proof state
# Scanning for AC axioms
#
#cnf(i_0_78, negated_conjecture, (function(esk19_0))).
#
#cnf(i_0_70, negated_conjecture, (function_inverse(esk19_0)!=esk20_0)).
#
#cnf(i_0_76, negated_conjecture, (function(esk20_0))).
#
#cnf(i_0_79, negated_conjecture, (relation(esk19_0))).
#
#cnf(i_0_77, negated_conjecture, (relation(esk20_0))).
#
#cnf(i_0_18, plain, (empty(empty_set))).
#
#cnf(i_0_75, negated_conjecture, (one_to_one(esk19_0))).
#
#cnf(i_0_40, plain, (~empty(esk10_0))).
#
#cnf(i_0_43, plain, (~empty(esk12_0))).
#
#cnf(i_0_19, plain, (~empty(powerset(X1)))).
##
#cnf(i_0_74, negated_conjecture, (relation_rng(esk20_0)=relation_dom(esk19_0))).
#
#cnf(i_0_73, negated_conjecture, (relation_rng(esk19_0)=relation_dom(esk20_0))).
#
#cnf(i_0_29, plain, (function(esk5_0))).
#
#cnf(i_0_36, plain, (function(esk9_0))).
#
#cnf(i_0_45, plain, (function(esk13_0))).
##
#cnf(i_0_17, plain, (relation(empty_set))).
#
#cnf(i_0_32, plain, (empty(esk6_0))).
#
#cnf(i_0_35, plain, (empty(esk8_0))).
#
#cnf(i_0_37, plain, (empty(esk9_0))).
##
#cnf(i_0_30, plain, (relation(esk5_0))).
#
#cnf(i_0_31, plain, (relation(esk6_0))).
#
#cnf(i_0_38, plain, (relation(esk9_0))).
#
#cnf(i_0_39, plain, (relation(esk10_0))).
#
#cnf(i_0_46, plain, (relation(esk13_0))).
#
#cnf(i_0_48, plain, (relation(esk14_0))).
#
#cnf(i_0_44, plain, (one_to_one(esk13_0))).
#
#cnf(i_0_16, plain, (relation_empty_yielding(empty_set))).
#
#cnf(i_0_47, plain, (relation_empty_yielding(esk14_0))).
#
#cnf(i_0_2, plain, (function(X1)|~empty(X1))).
#
#cnf(i_0_3, plain, (relation(X1)|~empty(X1))).
#
#cnf(i_0_41, plain, (empty(esk11_1(X1)))).
#
#cnf(i_0_27, plain, (relation(relation_rng(X1))|~empty(X1))).
#
#cnf(i_0_25, plain, (relation(relation_dom(X1))|~empty(X1))).
#
#cnf(i_0_13, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))).
#
#cnf(i_0_14, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))).
#
#cnf(i_0_80, plain, (X1=empty_set|~empty(X1))).
#
#cnf(i_0_49, plain, (subset(X1,X1))).
#
#cnf(i_0_81, plain, (~empty(X2)|~in(X1,X2))).
#
#cnf(i_0_33, plain, (empty(X1)|~empty(esk7_1(X1)))).
#
#cnf(i_0_1, plain, (~in(X2,X1)|~in(X1,X2))).
#
#cnf(i_0_24, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
#
#cnf(i_0_15, plain, (element(esk4_1(X1),X1))).
#
#cnf(i_0_28, plain, (empty(relation_rng(X1))|~empty(X1))).
#
#cnf(i_0_26, plain, (empty(relation_dom(X1))|~empty(X1))).
#
#cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1))).
#
#cnf(i_0_23, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
#
#cnf(i_0_82, plain, (X1=X2|~empty(X2)|~empty(X1))).
#
#cnf(i_0_50, plain, (element(X1,X2)|~in(X1,X2))).
#
#cnf(i_0_53, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
#
#cnf(i_0_69, plain, (~element(X2,powerset(X3))|~empty(X3)|~in(X1,X2))).
#
#cnf(i_0_51, plain, (empty(X2)|in(X1,X2)|~element(X1,X2))).
#
#cnf(i_0_42, plain, (element(esk11_1(X1),powerset(X1)))).
#
#cnf(i_0_52, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
#
#cnf(i_0_71, negated_conjecture, (apply(esk19_0,X2)=X1|apply(esk20_0,X1)!=X2|~in(X2,relation_dom(esk19_0))|~in(X1,relation_dom(esk20_0)))).
#
#cnf(i_0_72, negated_conjecture, (apply(esk20_0,X2)=X1|apply(esk19_0,X1)!=X2|~in(X2,relation_dom(esk20_0))|~in(X1,relation_dom(esk19_0)))).
#
#cnf(i_0_68, plain, (relation_dom(X1)=relation_rng(X2)|X1!=function_inverse(X2)|~one_to_one(X2)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
#
#cnf(i_0_34, plain, (element(esk7_1(X1),powerset(X1))|empty(X1))).
#
#cnf(i_0_54, plain, (element(X1,X3)|~element(X2,powerset(X3))|~in(X1,X2))).
#
#cnf(i_0_11, plain, (apply(X2,esk1_3(X2,X3,X1))=X1|X3!=relation_rng(X2)|~relation(X2)|~function(X2)|~in(X1,X3))).
#
#cnf(i_0_10, plain, (in(X3,X4)|X3!=apply(X2,X1)|X4!=relation_rng(X2)|~relation(X2)|~function(X2)|~in(X1,relation_dom(X2)))).
#
#cnf(i_0_12, plain, (in(esk1_3(X1,X2,X3),relation_dom(X1))|X2!=relation_rng(X1)|~relation(X1)|~function(X1)|~in(X3,X2))).
#
#cnf(i_0_9, plain, (X2=relation_rng(X1)|esk2_2(X1,X2)!=apply(X1,X3)|~relation(X1)|~function(X1)|~in(esk2_2(X1,X2),X2)|~in(X3,relation_dom(X1)))).
#
#cnf(i_0_83, plain, (X1=X2|apply(X1,esk21_2(X1,X2))!=apply(X2,esk21_2(X1,X2))|relation_dom(X1)!=relation_dom(X2)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
#
#cnf(i_0_84, plain, (X1=X2|in(esk21_2(X1,X2),relation_dom(X1))|relation_dom(X1)!=relation_dom(X2)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
#
#cnf(i_0_65, plain, (in(X1,relation_rng(X2))|X1!=apply(X2,X3)|X4!=function_inverse(X2)|~one_to_one(X2)|~relation(X4)|~relation(X2)|~function(X4)|~function(X2)|~in(X3,relation_dom(X2)))).
#
#cnf(i_0_67, plain, (in(X1,relation_dom(X2))|X1!=apply(X4,X3)|X4!=function_inverse(X2)|~one_to_one(X2)|~relation(X4)|~relation(X2)|~function(X4)|~function(X2)|~in(X3,relation_rng(X2)))).
#
#cnf(i_0_64, plain, (X1=apply(X2,X3)|X3!=apply(X4,X1)|X2!=function_inverse(X4)|~one_to_one(X4)|~relation(X4)|~relation(X2)|~function(X4)|~function(X2)|~in(X1,relation_dom(X4)))).
#
#cnf(i_0_66, plain, (X1=apply(X2,X3)|X3!=apply(X4,X1)|X4!=function_inverse(X2)|~one_to_one(X2)|~relation(X4)|~relation(X2)|~function(X4)|~function(X2)|~in(X1,relation_rng(X2)))).
#
#cnf(i_0_8, plain, (X2=relation_rng(X1)|in(esk3_2(X1,X2),relation_dom(X1))|in(esk2_2(X1,X2),X2)|~relation(X1)|~function(X1))).
#
#cnf(i_0_7, plain, (apply(X1,esk3_2(X1,X2))=esk2_2(X1,X2)|X2=relation_rng(X1)|in(esk2_2(X1,X2),X2)|~relation(X1)|~function(X1))).
#
#cnf(i_0_57, plain, (X2=function_inverse(X1)|in(esk18_2(X1,X2),relation_dom(X1))|apply(X1,esk16_2(X1,X2))!=esk15_2(X1,X2)|relation_dom(X2)!=relation_rng(X1)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(esk16_2(X1,X2),relation_dom(X1)))).
#
#cnf(i_0_63, plain, (X2=function_inverse(X1)|in(esk18_2(X1,X2),relation_dom(X1))|in(esk15_2(X1,X2),relation_rng(X1))|relation_dom(X2)!=relation_rng(X1)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
#
#cnf(i_0_61, plain, (X2=function_inverse(X1)|in(esk15_2(X1,X2),relation_rng(X1))|apply(X2,esk17_2(X1,X2))!=esk18_2(X1,X2)|relation_dom(X2)!=relation_rng(X1)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(esk17_2(X1,X2),relation_rng(X1)))).
#
#cnf(i_0_62, plain, (apply(X1,esk18_2(X1,X2))=esk17_2(X1,X2)|X2=function_inverse(X1)|in(esk15_2(X1,X2),relation_rng(X1))|relation_dom(X2)!=relation_rng(X1)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
#
#cnf(i_0_60, plain, (apply(X2,esk15_2(X1,X2))=esk16_2(X1,X2)|X2=function_inverse(X1)|in(esk18_2(X1,X2),relation_dom(X1))|relation_dom(X2)!=relation_rng(X1)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
#
#cnf(i_0_56, plain, (apply(X1,esk18_2(X1,X2))=esk17_2(X1,X2)|X2=function_inverse(X1)|apply(X1,esk16_2(X1,X2))!=esk15_2(X1,X2)|relation_dom(X2)!=relation_rng(X1)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(esk16_2(X1,X2),relation_dom(X1)))).
#
#cnf(i_0_58, plain, (apply(X2,esk15_2(X1,X2))=esk16_2(X1,X2)|X2=function_inverse(X1)|apply(X2,esk17_2(X1,X2))!=esk18_2(X1,X2)|relation_dom(X2)!=relation_rng(X1)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(esk17_2(X1,X2),relation_rng(X1)))).
#
#cnf(i_0_55, plain, (X2=function_inverse(X1)|apply(X1,esk16_2(X1,X2))!=esk15_2(X1,X2)|apply(X2,esk17_2(X1,X2))!=esk18_2(X1,X2)|relation_dom(X2)!=relation_rng(X1)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(esk16_2(X1,X2),relation_dom(X1))|~in(esk17_2(X1,X2),relation_rng(X1)))).
#
#cnf(i_0_59, plain, (apply(X1,esk18_2(X1,X2))=esk17_2(X1,X2)|apply(X2,esk15_2(X1,X2))=esk16_2(X1,X2)|X2=function_inverse(X1)|relation_dom(X2)!=relation_rng(X1)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
#
#cnf(i_0_71, negated_conjecture, (apply(esk19_0,apply(esk20_0,X1))=X1|~in(apply(esk20_0,X1),relation_dom(esk19_0))|~in(X1,relation_dom(esk20_0)))).
#
#cnf(i_0_72, negated_conjecture, (apply(esk20_0,apply(esk19_0,X1))=X1|~in(apply(esk19_0,X1),relation_dom(esk20_0))|~in(X1,relation_dom(esk19_0)))).
#
#cnf(i_0_68, plain, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
#
#cnf(i_0_10, plain, (in(apply(X1,X2),relation_rng(X1))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
#
#cnf(i_0_11, plain, (apply(X1,esk1_3(X1,relation_rng(X1),X2))=X2|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
#
#cnf(i_0_12, plain, (in(esk1_3(X1,relation_rng(X1),X2),relation_dom(X1))|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
##
#cnf(i_0_67, plain, (in(apply(function_inverse(X1),X2),relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
#
#cnf(i_0_64, plain, (apply(function_inverse(X2),apply(X2,X1))=X1|~one_to_one(X2)|~relation(X2)|~function(X2)|~in(X1,relation_dom(X2)))).
#
#cnf(i_0_66, plain, (apply(X2,apply(function_inverse(X2),X1))=X1|~one_to_one(X2)|~relation(X2)|~function(X2)|~in(X1,relation_rng(X2)))).
# Presaturation interreduction done
#
#cnf(i_0_70, negated_conjecture, (function_inverse(esk19_0)!=esk20_0)).
#
#cnf(i_0_78, negated_conjecture, (function(esk19_0))).
#
#cnf(i_0_76, negated_conjecture, (function(esk20_0))).
#
#cnf(i_0_40, plain, (~empty(esk10_0))).
#
#cnf(i_0_43, plain, (~empty(esk12_0))).
#
#cnf(i_0_19, plain, (~empty(powerset(X1)))).
#
#cnf(i_0_79, negated_conjecture, (relation(esk19_0))).
#
#cnf(i_0_77, negated_conjecture, (relation(esk20_0))).
#
#cnf(i_0_75, negated_conjecture, (one_to_one(esk19_0))).
#
#cnf(i_0_74, negated_conjecture, (relation_rng(esk20_0)=relation_dom(esk19_0))).
#
#cnf(i_0_73, negated_conjecture, (relation_rng(esk19_0)=relation_dom(esk20_0))).
#
#cnf(i_0_29, plain, (function(esk5_0))).
#
#cnf(i_0_18, plain, (empty(empty_set))).
#
#cnf(i_0_36, plain, (function(esk9_0))).
#
#cnf(i_0_45, plain, (function(esk13_0))).
#
#cnf(i_0_17, plain, (relation(empty_set))).
#
#cnf(i_0_32, plain, (empty(esk6_0))).
#
#cnf(i_0_35, plain, (empty(esk8_0))).
#
#cnf(i_0_30, plain, (relation(esk5_0))).
#
#cnf(i_0_31, plain, (relation(esk6_0))).
#
#cnf(i_0_38, plain, (relation(esk9_0))).
#
#cnf(i_0_39, plain, (relation(esk10_0))).
#
#cnf(i_0_46, plain, (relation(esk13_0))).
#
#cnf(i_0_37, plain, (empty(esk9_0))).
#
#cnf(i_0_48, plain, (relation(esk14_0))).
#
#cnf(i_0_44, plain, (one_to_one(esk13_0))).
#
#cnf(i_0_16, plain, (relation_empty_yielding(empty_set))).
#
#cnf(i_0_47, plain, (relation_empty_yielding(esk14_0))).
#
#cnf(i_0_2, plain, (function(X1)|~empty(X1))).
#
#cnf(i_0_41, plain, (empty(esk11_1(X1)))).
#
#cnf(i_0_4, plain, (one_to_one(X1)|~empty(X1))).
#
#cnf(i_0_3, plain, (relation(X1)|~empty(X1))).
#
#cnf(i_0_27, plain, (relation(relation_rng(X1))|~empty(X1))).
#
#cnf(i_0_25, plain, (relation(relation_dom(X1))|~empty(X1))).
#
#cnf(i_0_49, plain, (subset(X1,X1))).
#
#cnf(i_0_80, plain, (X1=empty_set|~empty(X1))).
#
#cnf(i_0_81, plain, (~empty(X1)|~in(X2,X1))).
#
#cnf(i_0_33, plain, (empty(X1)|~empty(esk7_1(X1)))).
#
#cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
#
#cnf(i_0_24, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
#
#cnf(i_0_15, plain, (element(esk4_1(X1),X1))).
#
#cnf(i_0_13, plain, (function(function_inverse(X1))|~relation(X1)|~function(X1))).
#
#cnf(i_0_14, plain, (relation(function_inverse(X1))|~relation(X1)|~function(X1))).
#
#cnf(i_0_28, plain, (empty(relation_rng(X1))|~empty(X1))).
#
#cnf(i_0_26, plain, (empty(relation_dom(X1))|~empty(X1))).
#
#cnf(i_0_42, plain, (element(esk11_1(X1),powerset(X1)))).
#
#cnf(i_0_50, plain, (element(X1,X2)|~in(X1,X2))).
#
#cnf(i_0_23, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
#
#cnf(i_0_53, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
#
#cnf(i_0_69, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
#
#cnf(i_0_82, plain, (X1=X2|~empty(X2)|~empty(X1))).
#
#cnf(i_0_52, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
#
#cnf(i_0_71, negated_conjecture, (apply(esk19_0,apply(esk20_0,X1))=X1|~in(apply(esk20_0,X1),relation_dom(esk19_0))|~in(X1,relation_dom(esk20_0)))).
#
#cnf(i_0_72, negated_conjecture, (apply(esk20_0,apply(esk19_0,X1))=X1|~in(apply(esk19_0,X1),relation_dom(esk20_0))|~in(X1,relation_dom(esk19_0)))).
#
#cnf(i_0_68, plain, (relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~relation(X1)|~function(X1))).
#
#cnf(i_0_51, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
#
#cnf(i_0_34, plain, (element(esk7_1(X1),powerset(X1))|empty(X1))).
#
#cnf(i_0_10, plain, (in(apply(X1,X2),relation_rng(X1))|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
#
#cnf(i_0_54, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
#
#cnf(i_0_11, plain, (apply(X1,esk1_3(X1,relation_rng(X1),X2))=X2|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
#
#cnf(i_0_12, plain, (in(esk1_3(X1,relation_rng(X1),X2),relation_dom(X1))|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
#
#cnf(i_0_9, plain, (X1=relation_rng(X2)|esk2_2(X2,X1)!=apply(X2,X3)|~relation(X2)|~function(X2)|~in(esk2_2(X2,X1),X1)|~in(X3,relation_dom(X2)))).
#
#cnf(i_0_84, plain, (X1=X2|in(esk21_2(X1,X2),relation_dom(X1))|relation_dom(X1)!=relation_dom(X2)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
#
#cnf(i_0_67, plain, (in(apply(function_inverse(X1),X2),relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
#
#cnf(i_0_64, plain, (apply(function_inverse(X1),apply(X1,X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1)))).
#
#cnf(i_0_66, plain, (apply(X1,apply(function_inverse(X1),X2))=X2|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
#
#cnf(i_0_83, plain, (X1=X2|apply(X1,esk21_2(X1,X2))!=apply(X2,esk21_2(X1,X2))|relation_dom(X1)!=relation_dom(X2)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
#
#cnf(i_0_8, plain, (X1=relation_rng(X2)|in(esk3_2(X2,X1),relation_dom(X2))|in(esk2_2(X2,X1),X1)|~relation(X2)|~function(X2))).
#
#cnf(i_0_7, plain, (apply(X1,esk3_2(X1,X2))=esk2_2(X1,X2)|X2=relation_rng(X1)|in(esk2_2(X1,X2),X2)|~relation(X1)|~function(X1))).
#
#cnf(i_0_57, plain, (X1=function_inverse(X2)|in(esk18_2(X2,X1),relation_dom(X2))|apply(X2,esk16_2(X2,X1))!=esk15_2(X2,X1)|relation_dom(X1)!=relation_rng(X2)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk16_2(X2,X1),relation_dom(X2)))).
#
#cnf(i_0_63, plain, (X1=function_inverse(X2)|in(esk15_2(X2,X1),relation_rng(X2))|in(esk18_2(X2,X1),relation_dom(X2))|relation_dom(X1)!=relation_rng(X2)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
#
#cnf(i_0_61, plain, (X1=function_inverse(X2)|in(esk15_2(X2,X1),relation_rng(X2))|apply(X1,esk17_2(X2,X1))!=esk18_2(X2,X1)|relation_dom(X1)!=relation_rng(X2)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk17_2(X2,X1),relation_rng(X2)))).
#
#cnf(i_0_62, plain, (apply(X1,esk18_2(X1,X2))=esk17_2(X1,X2)|X2=function_inverse(X1)|in(esk15_2(X1,X2),relation_rng(X1))|relation_dom(X2)!=relation_rng(X1)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
#
#cnf(i_0_60, plain, (apply(X1,esk15_2(X2,X1))=esk16_2(X2,X1)|X1=function_inverse(X2)|in(esk18_2(X2,X1),relation_dom(X2))|relation_dom(X1)!=relation_rng(X2)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
#
#cnf(i_0_56, plain, (apply(X1,esk18_2(X1,X2))=esk17_2(X1,X2)|X2=function_inverse(X1)|apply(X1,esk16_2(X1,X2))!=esk15_2(X1,X2)|relation_dom(X2)!=relation_rng(X1)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(esk16_2(X1,X2),relation_dom(X1)))).
#
#cnf(i_0_58, plain, (apply(X1,esk15_2(X2,X1))=esk16_2(X2,X1)|X1=function_inverse(X2)|apply(X1,esk17_2(X2,X1))!=esk18_2(X2,X1)|relation_dom(X1)!=relation_rng(X2)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk17_2(X2,X1),relation_rng(X2)))).
#
#cnf(i_0_55, plain, (X1=function_inverse(X2)|apply(X2,esk16_2(X2,X1))!=esk15_2(X2,X1)|apply(X1,esk17_2(X2,X1))!=esk18_2(X2,X1)|relation_dom(X1)!=relation_rng(X2)|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk16_2(X2,X1),relation_dom(X2))|~in(esk17_2(X2,X1),relation_rng(X2)))).
#
#cnf(i_0_59, plain, (apply(X2,esk15_2(X1,X2))=esk16_2(X1,X2)|apply(X1,esk18_2(X1,X2))=esk17_2(X1,X2)|X2=function_inverse(X1)|relation_dom(X2)!=relation_rng(X1)|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1))).
#
#cnf(i_0_101, plain, (function(esk8_0))).
#
#cnf(i_0_118, plain, (esk9_0=empty_set)).
#
#cnf(i_0_138, plain, (~empty(X1)|~in(X2,esk11_1(X1)))).
#
#cnf(i_0_139, plain, (~empty(X1)|~in(X2,esk4_1(powerset(X1))))).
#
#cnf(i_0_149, plain, (~subset(X1,X2)|~empty(X2)|~in(X3,X1))).
##
#cnf(i_0_152, plain, (in(esk11_1(X1),powerset(X1)))).
#
#cnf(i_0_110, negated_conjecture, (relation(relation_dom(esk19_0))|~empty(esk20_0))).
#
#cnf(i_0_111, negated_conjecture, (relation(relation_dom(esk20_0))|~empty(esk19_0))).
#
#cnf(i_0_102, plain, (function(esk6_0))).
#
#cnf(i_0_103, plain, (function(empty_set))).
##
#cnf(i_0_119, plain, (esk8_0=empty_set)).
##
#cnf(i_0_250, plain, (~in(powerset(X1),esk11_1(X1)))).
#
#cnf(i_0_140, plain, (~empty(X2)|~in(X1,powerset(X2))|~in(X3,X1))).
##
#cnf(i_0_154, plain, (in(X2,powerset(X1))|~subset(X2,X1))).
#
#cnf(i_0_115, plain, (relation(relation_dom(esk6_0)))).
#
#cnf(i_0_116, plain, (relation(relation_dom(empty_set)))).
#
#cnf(i_0_121, negated_conjecture, (empty(esk20_0)|~empty(relation_dom(esk19_0)))).
#
#cnf(i_0_122, negated_conjecture, (empty(esk19_0)|~empty(relation_dom(esk20_0)))).
#
#cnf(i_0_104, plain, (function(esk11_1(X1)))).
#
#cnf(i_0_120, plain, (esk6_0=empty_set)).
##
#cnf(i_0_254, plain, (~subset(X1,X2)|~in(powerset(X2),X1))).
##
#cnf(i_0_265, plain, (~subset(powerset(X1),X2)|~subset(powerset(X2),X1))).
#
#cnf(i_0_266, plain, (~subset(powerset(powerset(X1)),X1))).
#
#cnf(i_0_264, negated_conjecture, (empty(esk19_0)|~empty(esk20_0))).
#
#cnf(i_0_263, negated_conjecture, (empty(esk20_0)|~empty(esk19_0))).
###
#cnf(i_0_105, plain, (relation(esk11_1(X1)))).
#
#cnf(i_0_117, plain, (esk11_1(X1)=empty_set)).
#
#cnf(i_0_250, plain, (~in(powerset(X1),empty_set))).
#
#cnf(i_0_138, plain, (~empty(X1)|~in(X2,empty_set))).
#
#cnf(i_0_152, plain, (in(empty_set,powerset(X1)))).
###
#cnf(i_0_270, negated_conjecture, (empty_set=esk20_0|~empty(esk19_0))).
#
#cnf(i_0_128, negated_conjecture, (empty(relation_dom(esk19_0))|~empty(esk20_0))).
#
#cnf(i_0_280, negated_conjecture, (function(relation_dom(esk19_0))|~empty(esk20_0))).
#
#cnf(i_0_282, negated_conjecture, (relation(relation_dom(relation_dom(esk19_0)))|~empty(esk20_0))).
#
#cnf(i_0_42, plain, (element(empty_set,powerset(X1)))).
#
#cnf(i_0_283, negated_conjecture, (relation_dom(esk19_0)=empty_set|~empty(esk20_0))).
###
#cnf(i_0_160, plain, (~relation(X1)|~function(X1)|~empty(relation_rng(X1))|~in(X2,relation_dom(X1)))).
#
#cnf(i_0_176, plain, (~relation(X1)|~function(X1)|~empty(relation_dom(X1))|~in(X2,relation_rng(X1)))).
#
#cnf(i_0_298, negated_conjecture, (~empty(relation_dom(esk20_0))|~in(X1,relation_dom(esk19_0)))).
##
#cnf(i_0_294, negated_conjecture, (relation_dom(esk19_0)=empty_set|~empty(esk19_0))).
#
#cnf(i_0_301, negated_conjecture, (~empty(esk20_0)|~in(X1,relation_dom(esk19_0)))).
#
#cnf(i_0_302, negated_conjecture, (~empty(esk20_0)|~in(X1,relation_dom(esk20_0)))).
#
#cnf(i_0_123, plain, (function(relation_rng(X1))|~empty(X1))).
####
#cnf(i_0_299, negated_conjecture, (~empty(relation_dom(esk19_0))|~in(X1,relation_dom(esk20_0)))).
#
#cnf(i_0_308, negated_conjecture, (~empty(esk19_0)|~in(X1,relation_dom(esk20_0)))).
###
#cnf(i_0_307, negated_conjecture, (function(relation_dom(esk20_0))|~empty(esk19_0))).
#
#cnf(i_0_310, negated_conjecture, (~empty(esk19_0)|~in(X1,relation_dom(esk19_0)))).
###
#cnf(i_0_291, plain, (subset(empty_set,X1))).
#####
#cnf(i_0_156, plain, (empty(X1)|in(esk7_1(X1),powerset(X1)))).
#
#cnf(i_0_129, negated_conjecture, (empty(relation_dom(esk20_0))|~empty(esk19_0))).
##
#cnf(i_0_320, negated_conjecture, (relation(relation_dom(relation_dom(esk20_0)))|~empty(esk19_0))).
##
#cnf(i_0_125, plain, (relation(relation_dom(relation_rng(X1)))|~empty(X1))).
#
#cnf(i_0_321, negated_conjecture, (relation_dom(esk20_0)=empty_set|~empty(esk19_0))).
###
#cnf(i_0_315, plain, (empty(X1)|~in(powerset(X1),esk7_1(X1)))).
######
#cnf(i_0_161, negated_conjecture, (in(apply(esk20_0,X1),relation_dom(esk19_0))|~in(X1,relation_dom(esk20_0)))).
#
#cnf(i_0_126, plain, (relation_rng(X1)=empty_set|~empty(X1))).
######
#cnf(i_0_334, negated_conjecture, (~in(relation_dom(esk19_0),apply(esk20_0,X1))|~in(X1,relation_dom(esk20_0)))).
##
#cnf(i_0_162, negated_conjecture, (in(apply(esk19_0,X1),relation_dom(esk20_0))|~in(X1,relation_dom(esk19_0)))).
###
#cnf(i_0_130, plain, (function(relation_dom(X1))|~empty(X1))).
####
#cnf(i_0_358, negated_conjecture, (~in(relation_dom(esk20_0),apply(esk19_0,X1))|~in(X1,relation_dom(esk19_0)))).
#####
#cnf(i_0_132, plain, (relation(relation_dom(relation_dom(X1)))|~empty(X1))).
##
#cnf(i_0_133, plain, (relation_dom(X1)=empty_set|~empty(X1))).
#
#cnf(i_0_375, plain, (relation_dom(empty_set)=empty_set)).
####
#cnf(i_0_159, plain, (~relation(X1)|~function(X1)|~in(relation_rng(X1),apply(X1,X2))|~in(X2,relation_dom(X1)))).
###
#cnf(i_0_376, negated_conjecture, (relation_dom(relation_dom(esk20_0))=empty_set|~empty(esk19_0))).
#
#cnf(i_0_377, negated_conjecture, (relation_dom(relation_dom(esk19_0))=empty_set|~empty(esk20_0))).
##
#cnf(i_0_136, plain, (subset(esk4_1(powerset(X1)),X1))).
#
#cnf(i_0_378, plain, (relation_dom(relation_dom(X1))=empty_set|~empty(X1))).
########
#cnf(i_0_271, negated_conjecture, (X1=esk20_0|~empty(esk19_0)|~empty(X1))).
##
#cnf(i_0_137, plain, (subset(X1,X2)|~in(X1,powerset(X2)))).
#
#cnf(i_0_379, plain, (relation_dom(relation_rng(X1))=empty_set|~empty(X1))).
#
#cnf(i_0_441, plain, (subset(esk7_1(X1),X1)|empty(X1))).
###
#cnf(i_0_397, plain, (~empty(X1)|~in(empty_set,apply(X1,X2))|~in(X2,relation_dom(X1)))).
####
#cnf(i_0_284, negated_conjecture, (X1=relation_dom(esk19_0)|~empty(esk20_0)|~empty(X1))).
#
#cnf(i_0_322, negated_conjecture, (X1=relation_dom(esk20_0)|~empty(esk19_0)|~empty(X1))).
#
#cnf(i_0_146, plain, (X1=relation_dom(X2)|~empty(X1)|~empty(X2))).
###
#cnf(i_0_175, plain, (~relation(X1)|~function(X1)|~in(relation_dom(X1),esk1_3(X1,relation_rng(X1),X2))|~in(X2,relation_rng(X1)))).
#
#cnf(i_0_475, plain, (~in(empty_set,esk1_3(empty_set,relation_rng(empty_set),X1))|~in(X1,relation_rng(empty_set)))).
#
#cnf(i_0_481, plain, (~in(empty_set,esk1_3(empty_set,empty_set,X1))|~in(X1,empty_set))).
#
#cnf(i_0_472, negated_conjecture, (~in(relation_dom(esk20_0),esk1_3(esk20_0,relation_dom(esk19_0),X1))|~in(X1,relation_dom(esk19_0)))).
#
#cnf(i_0_473, negated_conjecture, (~in(relation_dom(esk19_0),esk1_3(esk19_0,relation_dom(esk20_0),X1))|~in(X1,relation_dom(esk20_0)))).
#
#cnf(i_0_466, negated_conjecture, (relation_dom(X1)=esk20_0|~empty(esk19_0)|~empty(X1))).
##
#cnf(i_0_468, negated_conjecture, (relation_dom(esk20_0)=relation_dom(X1)|~empty(esk19_0)|~empty(X1))).
#
#cnf(i_0_147, plain, (X1=relation_rng(X2)|~empty(X1)|~empty(X2))).
#####
#cnf(i_0_191, plain, (~one_to_one(X1)|~relation(X1)|~function(X1)|~in(relation_dom(X1),apply(function_inverse(X1),X2))|~in(X2,relation_rng(X1)))).
#
#cnf(i_0_491, plain, (~one_to_one(empty_set)|~in(empty_set,apply(function_inverse(empty_set),X1))|~in(X1,relation_rng(empty_set)))).
#
#cnf(i_0_469, negated_conjecture, (relation_dom(esk19_0)=relation_dom(X1)|~empty(esk20_0)|~empty(X1))).
#
#cnf(i_0_500, negated_conjecture, (relation_dom(esk19_0)=relation_dom(X1)|~empty(esk19_0)|~empty(X1))).
#
#cnf(i_0_482, negated_conjecture, (relation_rng(X1)=esk20_0|~empty(esk19_0)|~empty(X1))).
#
#cnf(i_0_502, negated_conjecture, (relation_dom(esk20_0)=esk20_0|~empty(esk19_0))).
#
#cnf(i_0_150, plain, (empty(relation_rng(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(function_inverse(X1)))).
##
#cnf(i_0_503, negated_conjecture, (~empty(esk19_0)|~in(empty_set,esk1_3(empty_set,esk20_0,X1))|~in(X1,esk20_0))).
#
#cnf(i_0_515, negated_conjecture, (~relation(X1)|~function(X1)|~empty(relation_dom(X1))|~empty(esk19_0)|~in(X2,esk20_0))).
##
#cnf(i_0_513, negated_conjecture, (~empty(esk19_0)|~empty(X1)|~in(esk20_0,apply(X1,X2))|~in(X2,relation_dom(X1)))).
######
#cnf(i_0_151, plain, (empty(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(relation_rng(X1)))).
#
#cnf(i_0_484, negated_conjecture, (relation_rng(X1)=relation_dom(esk20_0)|~empty(esk19_0)|~empty(X1))).
####
#cnf(i_0_544, negated_conjecture, (~empty(esk19_0)|~empty(X1)|~in(relation_dom(esk20_0),apply(X1,X2))|~in(X2,relation_dom(X1)))).
######
#cnf(i_0_153, plain, (empty(X1)|in(esk4_1(X1),X1))).
###
#cnf(i_0_566, plain, (empty(X1)|~in(X1,esk4_1(X1)))).
#########
#cnf(i_0_485, negated_conjecture, (relation_rng(X1)=relation_dom(esk19_0)|~empty(esk20_0)|~empty(X1))).
#
#cnf(i_0_556, plain, (empty(esk4_1(powerset(X1)))|~empty(X1))).
#
#cnf(i_0_587, plain, (function(esk4_1(powerset(X1)))|~empty(X1))).
#
#cnf(i_0_588, plain, (relation(esk4_1(powerset(X1)))|~empty(X1))).
#
#cnf(i_0_590, plain, (esk4_1(powerset(X1))=empty_set|~empty(X1))).
######
#cnf(i_0_166, plain, (element(X1,X2)|empty(X2)|~in(X1,esk7_1(X2)))).
###
#cnf(i_0_594, plain, (X1=esk4_1(powerset(X2))|~empty(X1)|~empty(X2))).
##
#cnf(i_0_564, plain, (empty(relation_dom(X1))|~relation(X1)|~function(X1)|~empty(relation_rng(X1)))).
#
#cnf(i_0_615, negated_conjecture, (empty(relation_dom(esk20_0))|~empty(relation_dom(esk19_0)))).
#
#cnf(i_0_622, negated_conjecture, (function(relation_dom(esk20_0))|~empty(relation_dom(esk19_0)))).
###
#cnf(i_0_623, negated_conjecture, (relation(relation_dom(esk20_0))|~empty(relation_dom(esk19_0)))).
#
#cnf(i_0_167, plain, (element(X1,X2)|~in(X1,esk4_1(powerset(X2))))).
###
#cnf(i_0_632, negated_conjecture, (empty(esk19_0)|~empty(relation_dom(esk19_0)))).
####
#cnf(i_0_624, negated_conjecture, (relation(relation_dom(relation_dom(esk20_0)))|~empty(relation_dom(esk19_0)))).
###
#cnf(i_0_625, negated_conjecture, (relation_dom(esk20_0)=empty_set|~empty(relation_dom(esk19_0)))).
#
#cnf(i_0_168, plain, (element(X1,X2)|~in(X3,powerset(X2))|~in(X1,X3))).
###
#cnf(i_0_616, negated_conjecture, (empty(relation_dom(esk19_0))|~empty(relation_dom(esk20_0)))).
###
#cnf(i_0_626, negated_conjecture, (relation_dom(relation_dom(esk20_0))=empty_set|~empty(relation_dom(esk19_0)))).
#####
#cnf(i_0_169, plain, (element(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
##
#cnf(i_0_648, plain, (element(X1,X2)|~in(X1,empty_set))).
##
#cnf(i_0_659, plain, (subset(X1,X2)|~in(X1,empty_set))).
##
#cnf(i_0_630, negated_conjecture, (X1=relation_dom(esk20_0)|~empty(relation_dom(esk19_0))|~empty(X1))).
####
#cnf(i_0_628, negated_conjecture, (relation_rng(X1)=relation_dom(esk20_0)|~empty(relation_dom(esk19_0))|~empty(X1))).
#
#cnf(i_0_170, negated_conjecture, (esk1_3(esk20_0,relation_dom(esk19_0),X1)=apply(esk19_0,X1)|~in(esk1_3(esk20_0,relation_dom(esk19_0),X1),relation_dom(esk20_0))|~in(X1,relation_dom(esk19_0)))).
######
#cnf(i_0_670, negated_conjecture, (relation_rng(X1)=relation_dom(esk20_0)|~empty(esk20_0)|~empty(X1))).
#
#cnf(i_0_671, negated_conjecture, (relation_dom(esk20_0)=relation_dom(esk19_0)|~empty(esk20_0))).
#
#cnf(i_0_691, negated_conjecture, (relation_dom(esk20_0)=relation_dom(esk19_0)|~empty(esk19_0))).
###
#cnf(i_0_171, negated_conjecture, (esk1_3(esk19_0,relation_dom(esk20_0),X1)=apply(esk20_0,X1)|~in(esk1_3(esk19_0,relation_dom(esk20_0),X1),relation_dom(esk19_0))|~in(X1,relation_dom(esk20_0)))).
#######
#cnf(i_0_627, negated_conjecture, (relation_dom(esk20_0)=relation_dom(X1)|~empty(relation_dom(esk19_0))|~empty(X1))).
##
#cnf(i_0_693, negated_conjecture, (relation_dom(esk20_0)=relation_dom(X1)|~empty(esk20_0)|~empty(X1))).
##
#cnf(i_0_173, negated_conjecture, (apply(esk20_0,esk1_3(esk20_0,relation_dom(esk19_0),X1))=X1|~in(X1,relation_dom(esk19_0)))).
##
#cnf(i_0_661, plain, (element(X1,X2)|~in(X3,empty_set)|~in(X1,X3))).
###
#cnf(i_0_662, plain, (in(X2,X1)|~in(X2,empty_set))).
#
#cnf(i_0_591, plain, (relation_dom(esk4_1(powerset(X1)))=empty_set|~empty(X1))).
###
#cnf(i_0_202, negated_conjecture, (apply(function_inverse(esk19_0),X1)=apply(esk20_0,X1)|~in(apply(function_inverse(esk19_0),X1),relation_dom(esk19_0))|~in(X1,relation_dom(esk20_0)))).
#
#cnf(i_0_723, negated_conjecture, (apply(function_inverse(esk19_0),X1)=apply(esk20_0,X1)|~in(X1,relation_dom(esk20_0)))).
#
#cnf(i_0_174, negated_conjecture, (apply(esk19_0,esk1_3(esk19_0,relation_dom(esk20_0),X1))=X1|~in(X1,relation_dom(esk20_0)))).
#####
#cnf(i_0_565, plain, (empty(relation_rng(X1))|~relation(X1)|~function(X1)|~empty(relation_dom(X1)))).
####
#cnf(i_0_736, negated_conjecture, (apply(esk19_0,apply(esk20_0,X1))=X1|~in(X1,relation_dom(esk20_0)))).
##
#cnf(i_0_177, plain, (in(esk1_3(function_inverse(X1),relation_rng(function_inverse(X1)),X2),relation_rng(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(function_inverse(X1))))).
###
#cnf(i_0_747, plain, (function(relation_rng(X1))|~relation(X1)|~function(X1)|~empty(relation_dom(X1)))).
#
#cnf(i_0_792, plain, (function(relation_rng(empty_set)))).
#######
#cnf(i_0_178, negated_conjecture, (in(esk1_3(esk20_0,relation_dom(esk19_0),X1),relation_dom(esk20_0))|~in(X1,relation_dom(esk19_0)))).
#
#cnf(i_0_470, plain, (relation_dom(X1)=relation_dom(X2)|~empty(X2)|~empty(X1))).
#####
#cnf(i_0_589, plain, (relation(relation_dom(esk4_1(powerset(X1))))|~empty(X1))).
#
#cnf(i_0_794, negated_conjecture, (function(relation_rng(relation_dom(esk20_0)))|~empty(esk19_0))).
#
#cnf(i_0_795, negated_conjecture, (function(relation_rng(relation_dom(esk19_0)))|~empty(esk20_0))).
###
#cnf(i_0_179, negated_conjecture, (in(esk1_3(esk19_0,relation_dom(esk20_0),X1),relation_dom(esk19_0))|~in(X1,relation_dom(esk20_0)))).
###########
#cnf(i_0_180, negated_conjecture, (X1=esk20_0|in(esk21_2(X1,esk20_0),relation_dom(X1))|relation_dom(X1)!=relation_dom(esk20_0)|~relation(X1)|~function(X1))).
##
#cnf(i_0_748, plain, (relation(relation_rng(X1))|~relation(X1)|~function(X1)|~empty(relation_dom(X1)))).
#
#cnf(i_0_853, plain, (relation(relation_rng(empty_set)))).
#######
#cnf(i_0_855, negated_conjecture, (relation(relation_rng(relation_dom(esk20_0)))|~empty(esk19_0))).
#
#cnf(i_0_181, negated_conjecture, (X1=esk19_0|in(esk21_2(X1,esk19_0),relation_dom(X1))|relation_dom(X1)!=relation_dom(esk19_0)|~relation(X1)|~function(X1))).
##
#cnf(i_0_750, plain, (relation_rng(X1)=empty_set|~relation(X1)|~function(X1)|~empty(relation_dom(X1)))).
#
#cnf(i_0_888, plain, (relation_rng(empty_set)=empty_set)).
#
#cnf(i_0_908, plain, (~in(X1,empty_set))).
###
#cnf(i_0_856, negated_conjecture, (relation(relation_rng(relation_dom(esk19_0)))|~empty(esk20_0))).
###########
#cnf(i_0_890, negated_conjecture, (relation_rng(relation_dom(esk20_0))=empty_set|~empty(esk19_0))).
#
#cnf(i_0_891, negated_conjecture, (relation_rng(relation_dom(esk19_0))=empty_set|~empty(esk20_0))).
#
#cnf(i_0_931, negated_conjecture, (~empty(esk19_0)|~in(X1,relation_dom(relation_dom(esk20_0))))).
###
#cnf(i_0_976, negated_conjecture, (empty(relation_dom(relation_dom(esk20_0)))|~empty(esk19_0))).
######
#cnf(i_0_979, negated_conjecture, (function(relation_dom(relation_dom(esk20_0)))|~empty(esk19_0))).
##
#cnf(i_0_981, negated_conjecture, (relation(relation_dom(relation_dom(relation_dom(esk20_0))))|~empty(esk19_0))).
##
#cnf(i_0_182, plain, (X1=esk14_0|in(esk21_2(X1,esk14_0),relation_dom(X1))|relation_dom(X1)!=relation_dom(esk14_0)|~relation(X1)|~function(esk14_0)|~function(X1))).
#
#cnf(i_0_983, negated_conjecture, (relation_dom(relation_dom(relation_dom(esk20_0)))=empty_set|~empty(esk19_0))).
#######
#cnf(i_0_1016, negated_conjecture, (function(relation_rng(relation_dom(relation_dom(esk20_0))))|~empty(esk19_0))).
#
#cnf(i_0_1017, negated_conjecture, (relation(relation_rng(relation_dom(relation_dom(esk20_0))))|~empty(esk19_0))).
#
#cnf(i_0_1012, negated_conjecture, (relation_dom(relation_dom(esk20_0))=esk20_0|~empty(esk19_0))).
#
#cnf(i_0_183, plain, (X1=esk13_0|in(esk21_2(X1,esk13_0),relation_dom(X1))|relation_dom(X1)!=relation_dom(esk13_0)|~relation(X1)|~function(X1))).
##
#cnf(i_0_1064, negated_conjecture, (~empty(esk19_0)|~in(X1,esk20_0))).
########
#cnf(i_0_1013, negated_conjecture, (relation_dom(relation_dom(esk20_0))=esk19_0|~empty(esk19_0))).
#
#cnf(i_0_184, plain, (X1=esk10_0|in(esk21_2(X1,esk10_0),relation_dom(X1))|relation_dom(X1)!=relation_dom(esk10_0)|~relation(X1)|~function(esk10_0)|~function(X1))).
#
#cnf(i_0_1108, negated_conjecture, (esk20_0=esk19_0|~empty(esk19_0))).
##########
#cnf(i_0_187, plain, (X1=esk5_0|in(esk21_2(X1,esk5_0),relation_dom(X1))|relation_dom(X1)!=relation_dom(esk5_0)|~relation(X1)|~function(X1))).
#####
#cnf(i_0_987, negated_conjecture, (X1=relation_dom(relation_dom(esk20_0))|~empty(esk19_0)|~empty(X1))).
######
#cnf(i_0_188, plain, (X1=empty_set|in(esk21_2(X1,empty_set),relation_dom(X1))|relation_dom(X1)!=empty_set|~relation(X1)|~function(X1))).
#
#cnf(i_0_817, negated_conjecture, (relation_dom(X1)=relation_dom(relation_dom(esk20_0))|~empty(esk19_0)|~empty(X1))).
#########
#cnf(i_0_954, negated_conjecture, (~empty(esk20_0)|~in(X1,relation_dom(relation_dom(esk19_0))))).
#
#cnf(i_0_189, plain, (X1=function_inverse(X2)|in(esk21_2(X1,function_inverse(X2)),relation_dom(X1))|relation_dom(X1)!=relation_dom(function_inverse(X2))|~relation(X1)|~relation(X2)|~function(X1)|~function(X2))).
#
#cnf(i_0_1132, negated_conjecture, (empty(relation_dom(relation_dom(esk19_0)))|~empty(esk20_0))).
###
#cnf(i_0_1141, negated_conjecture, (function(relation_dom(relation_dom(esk19_0)))|~empty(esk20_0))).
###
#cnf(i_0_1143, negated_conjecture, (relation(relation_dom(relation_dom(relation_dom(esk19_0))))|~empty(esk20_0))).
###
#cnf(i_0_1145, negated_conjecture, (relation_dom(relation_dom(relation_dom(esk19_0)))=empty_set|~empty(esk20_0))).
#
#cnf(i_0_190, plain, (X1=relation_rng(X2)|in(esk21_2(X1,relation_rng(X2)),relation_dom(X1))|relation_dom(X1)!=relation_dom(relation_rng(X2))|~relation(X1)|~function(X1)|~empty(X2))).
##
#cnf(i_0_1149, negated_conjecture, (X1=relation_dom(relation_dom(esk19_0))|~empty(esk20_0)|~empty(X1))).
#
#cnf(i_0_1208, negated_conjecture, (X1=relation_dom(relation_dom(esk19_0))|~empty(esk19_0)|~empty(X1))).
###
#cnf(i_0_1146, negated_conjecture, (relation_dom(relation_dom(esk19_0))=relation_dom(X1)|~empty(esk20_0)|~empty(X1))).
#
#cnf(i_0_1181, negated_conjecture, (function(relation_rng(relation_dom(relation_dom(esk19_0))))|~empty(esk20_0))).
#
#cnf(i_0_1182, negated_conjecture, (relation(relation_rng(relation_dom(relation_dom(esk19_0))))|~empty(esk20_0))).
#
#cnf(i_0_1174, negated_conjecture, (relation_dom(relation_dom(esk19_0))=esk20_0|~empty(esk20_0))).
##
#cnf(i_0_193, plain, (in(apply(function_inverse(function_inverse(X1)),X2),relation_rng(X1))|~one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(function_inverse(X1))))).
##########
#cnf(i_0_1175, negated_conjecture, (relation_dom(relation_dom(esk19_0))=esk19_0|~empty(esk20_0))).
#
#cnf(i_0_194, plain, (in(X2,relation_dom(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(function_inverse(X1))))).
#
#cnf(i_0_1305, negated_conjecture, (esk20_0=esk19_0|~empty(esk20_0))).
#
#cnf(i_0_1301, negated_conjecture, (~empty(esk20_0)|~in(X1,esk19_0))).
##
#cnf(i_0_1299, negated_conjecture, (empty_set=esk19_0|~empty(esk20_0))).
#######
#cnf(i_0_195, plain, (in(X2,relation_rng(function_inverse(X1)))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(apply(X1,X2),relation_dom(function_inverse(X1)))|~in(X2,relation_dom(X1)))).
#####
#cnf(i_0_1264, plain, (~one_to_one(function_inverse(empty_set))|~one_to_one(empty_set)|~in(X1,relation_rng(function_inverse(empty_set))))).
######
#cnf(i_0_196, plain, (apply(function_inverse(function_inverse(X1)),X2)=apply(X1,X2)|~one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(apply(X1,X2),relation_dom(function_inverse(X1)))|~in(X2,relation_dom(X1)))).
######
#cnf(i_0_1209, negated_conjecture, (relation_dom(relation_dom(esk19_0))=relation_dom(X1)|~empty(esk19_0)|~empty(X1))).
####
#cnf(i_0_977, negated_conjecture, (~empty(esk19_0)|~in(X1,relation_rng(relation_dom(esk20_0))))).
#
#cnf(i_0_198, negated_conjecture, (apply(function_inverse(esk20_0),X1)=apply(esk19_0,X1)|~one_to_one(esk20_0)|~in(X1,relation_dom(esk19_0)))).
#
#cnf(i_0_1353, negated_conjecture, (empty(relation_rng(relation_dom(esk20_0)))|~empty(esk19_0))).
########
#cnf(i_0_1375, negated_conjecture, (relation(relation_dom(relation_rng(relation_dom(esk20_0))))|~empty(esk19_0))).
#
#cnf(i_0_1377, negated_conjecture, (relation_dom(relation_rng(relation_dom(esk20_0)))=empty_set|~empty(esk19_0))).
#
#cnf(i_0_200, plain, (esk1_3(X1,relation_rng(X1),X2)=apply(function_inverse(X1),X2)|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(X1)))).
#######
#cnf(i_0_1419, negated_conjecture, (function(relation_rng(relation_rng(relation_dom(esk20_0))))|~empty(esk19_0))).
#
#cnf(i_0_1420, negated_conjecture, (relation(relation_rng(relation_rng(relation_dom(esk20_0))))|~empty(esk19_0))).
######
#cnf(i_0_1381, negated_conjecture, (X1=relation_rng(relation_dom(esk20_0))|~empty(esk19_0)|~empty(X1))).
####
#cnf(i_0_1410, negated_conjecture, (relation_rng(relation_dom(esk20_0))=esk20_0|~empty(esk19_0))).
####
#cnf(i_0_204, plain, (apply(function_inverse(function_inverse(X1)),X2)=apply(X1,X2)|~one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(function_inverse(X1))))).
#########
#cnf(i_0_1411, negated_conjecture, (relation_rng(relation_dom(esk20_0))=esk19_0|~empty(esk19_0))).
##
#cnf(i_0_206, plain, (esk1_3(function_inverse(X1),relation_rng(function_inverse(X1)),X2)=apply(X1,X2)|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(function_inverse(X1))))).
###########
#cnf(i_0_208, negated_conjecture, (X1=relation_dom(esk19_0)|in(esk3_2(esk20_0,X1),relation_dom(esk20_0))|in(esk2_2(esk20_0,X1),X1))).
######
#cnf(i_0_1378, negated_conjecture, (relation_rng(relation_dom(esk20_0))=relation_dom(X1)|~empty(esk19_0)|~empty(X1))).
###
#cnf(i_0_1133, negated_conjecture, (~empty(esk20_0)|~in(X1,relation_rng(relation_dom(esk19_0))))).
##
#cnf(i_0_209, negated_conjecture, (X1=relation_dom(esk20_0)|in(esk3_2(esk19_0,X1),relation_dom(esk19_0))|in(esk2_2(esk19_0,X1),X1))).
#
#cnf(i_0_1594, negated_conjecture, (empty(relation_rng(relation_dom(esk19_0)))|~empty(esk20_0))).
########
#cnf(i_0_1623, negated_conjecture, (relation(relation_dom(relation_rng(relation_dom(esk19_0))))|~empty(esk20_0))).
#
#cnf(i_0_1625, negated_conjecture, (relation_dom(relation_rng(relation_dom(esk19_0)))=empty_set|~empty(esk20_0))).
#
#cnf(i_0_210, plain, (X1=relation_rng(esk14_0)|in(esk3_2(esk14_0,X1),relation_dom(esk14_0))|in(esk2_2(esk14_0,X1),X1)|~function(esk14_0))).
###
#cnf(i_0_1629, negated_conjecture, (X1=relation_rng(relation_dom(esk19_0))|~empty(esk20_0)|~empty(X1))).
##
#cnf(i_0_1681, negated_conjecture, (X1=relation_rng(relation_dom(esk19_0))|~empty(esk19_0)|~empty(X1))).
##
#cnf(i_0_1667, negated_conjecture, (function(relation_rng(relation_rng(relation_dom(esk19_0))))|~empty(esk20_0))).
#
#cnf(i_0_1668, negated_conjecture, (relation(relation_rng(relation_rng(relation_dom(esk19_0))))|~empty(esk20_0))).
##
#cnf(i_0_1686, negated_conjecture, (function(relation_rng(relation_dom(esk20_0)))|~empty(relation_dom(esk19_0)))).
#
#cnf(i_0_211, plain, (X1=relation_rng(esk13_0)|in(esk3_2(esk13_0,X1),relation_dom(esk13_0))|in(esk2_2(esk13_0,X1),X1))).
########
#cnf(i_0_1700, negated_conjecture, (relation(relation_rng(relation_dom(esk20_0)))|~empty(relation_dom(esk19_0)))).
#
#cnf(i_0_1658, negated_conjecture, (relation_rng(relation_dom(esk19_0))=esk20_0|~empty(esk20_0))).
##
#cnf(i_0_212, plain, (X1=relation_rng(esk10_0)|in(esk3_2(esk10_0,X1),relation_dom(esk10_0))|in(esk2_2(esk10_0,X1),X1)|~function(esk10_0))).
##########
#cnf(i_0_1659, negated_conjecture, (relation_rng(relation_dom(esk19_0))=esk19_0|~empty(esk20_0))).
#
#cnf(i_0_215, plain, (X1=relation_rng(esk5_0)|in(esk3_2(esk5_0,X1),relation_dom(esk5_0))|in(esk2_2(esk5_0,X1),X1))).
#########
#cnf(i_0_1797, negated_conjecture, (relation_dom(esk19_0)=esk19_0|~empty(relation_dom(esk19_0)))).
#
#cnf(i_0_1834, negated_conjecture, (relation_dom(esk19_0)=esk19_0|~empty(esk19_0))).
#
#cnf(i_0_216, plain, (X1=empty_set|in(esk2_2(empty_set,X1),X1))).
#
#cnf(i_0_1835, negated_conjecture, (relation_dom(esk19_0)=esk19_0|~empty(esk20_0))).
##########
#cnf(i_0_217, plain, (X1=relation_rng(function_inverse(X2))|in(esk3_2(function_inverse(X2),X1),relation_dom(function_inverse(X2)))|in(esk2_2(function_inverse(X2),X1),X1)|~relation(X2)|~function(X2))).
######
#cnf(i_0_1798, negated_conjecture, (relation_dom(esk20_0)=esk19_0|~empty(relation_dom(esk19_0)))).
#
#cnf(i_0_1884, negated_conjecture, (relation_dom(esk20_0)=esk19_0|~empty(esk19_0))).
#
#cnf(i_0_1885, negated_conjecture, (relation_dom(esk20_0)=esk19_0|~empty(esk20_0))).
###
#cnf(i_0_218, plain, (X1=relation_rng(relation_rng(X2))|in(esk3_2(relation_rng(X2),X1),relation_dom(relation_rng(X2)))|in(esk2_2(relation_rng(X2),X1),X1)|~empty(X2))).
###
#cnf(i_0_1854, plain, (X1=empty_set|~in(X1,esk2_2(empty_set,X1)))).
###
#cnf(i_0_1849, plain, (relation_rng(function_inverse(empty_set))=empty_set|~one_to_one(function_inverse(empty_set))|~one_to_one(empty_set))).
#####
#cnf(i_0_219, negated_conjecture, (apply(esk20_0,esk3_2(esk20_0,X1))=esk2_2(esk20_0,X1)|X1=relation_dom(esk19_0)|in(esk2_2(esk20_0,X1),X1))).
######
#cnf(i_0_1626, negated_conjecture, (relation_rng(relation_dom(esk19_0))=relation_dom(X1)|~empty(esk20_0)|~empty(X1))).
####
#cnf(i_0_1006, negated_conjecture, (~empty(esk19_0)|~in(X1,relation_rng(relation_dom(relation_dom(esk20_0)))))).
#
#cnf(i_0_220, negated_conjecture, (apply(esk19_0,esk3_2(esk19_0,X1))=esk2_2(esk19_0,X1)|X1=relation_dom(esk20_0)|in(esk2_2(esk19_0,X1),X1))).
#
#cnf(i_0_1946, negated_conjecture, (relation_rng(relation_dom(relation_dom(esk20_0)))=empty_set|~empty(esk19_0))).
#########
#cnf(i_0_1168, negated_conjecture, (~empty(esk20_0)|~in(X1,relation_rng(relation_dom(relation_dom(esk19_0)))))).
#
#cnf(i_0_221, plain, (apply(esk14_0,esk3_2(esk14_0,X1))=esk2_2(esk14_0,X1)|X1=relation_rng(esk14_0)|in(esk2_2(esk14_0,X1),X1)|~function(esk14_0))).
#
#cnf(i_0_2026, negated_conjecture, (relation_rng(relation_dom(relation_dom(esk19_0)))=empty_set|~empty(esk20_0))).
########
#cnf(i_0_1404, negated_conjecture, (~empty(esk19_0)|~in(X1,relation_rng(relation_rng(relation_dom(esk20_0)))))).
##
#cnf(i_0_222, plain, (apply(esk13_0,esk3_2(esk13_0,X1))=esk2_2(esk13_0,X1)|X1=relation_rng(esk13_0)|in(esk2_2(esk13_0,X1),X1))).
#
#cnf(i_0_2081, negated_conjecture, (relation_rng(relation_rng(relation_dom(esk20_0)))=empty_set|~empty(esk19_0))).
##########
#cnf(i_0_223, plain, (apply(esk10_0,esk3_2(esk10_0,X1))=esk2_2(esk10_0,X1)|X1=relation_rng(esk10_0)|in(esk2_2(esk10_0,X1),X1)|~function(esk10_0))).
#
#cnf(i_0_1940, negated_conjecture, (empty(relation_rng(relation_dom(relation_dom(esk20_0))))|~empty(esk19_0))).
########
#cnf(i_0_2150, negated_conjecture, (relation(relation_dom(relation_rng(relation_dom(relation_dom(esk20_0)))))|~empty(esk19_0))).
##
#cnf(i_0_226, plain, (apply(esk5_0,esk3_2(esk5_0,X1))=esk2_2(esk5_0,X1)|X1=relation_rng(esk5_0)|in(esk2_2(esk5_0,X1),X1))).
#########
#cnf(i_0_2152, negated_conjecture, (relation_dom(relation_rng(relation_dom(relation_dom(esk20_0))))=empty_set|~empty(esk19_0))).
########
#cnf(i_0_2019, negated_conjecture, (empty(relation_rng(relation_dom(relation_dom(esk19_0))))|~empty(esk20_0))).
###
#cnf(i_0_2252, negated_conjecture, (relation(relation_dom(relation_rng(relation_dom(relation_dom(esk19_0)))))|~empty(esk20_0))).
##
#cnf(i_0_228, plain, (apply(function_inverse(X1),esk3_2(function_inverse(X1),X2))=esk2_2(function_inverse(X1),X2)|X2=relation_rng(function_inverse(X1))|in(esk2_2(function_inverse(X1),X2),X2)|~relation(X1)|~function(X1))).
########
#cnf(i_0_2254, negated_conjecture, (relation_dom(relation_rng(relation_dom(relation_dom(esk19_0))))=empty_set|~empty(esk20_0))).
###
#cnf(i_0_229, plain, (apply(relation_rng(X1),esk3_2(relation_rng(X1),X2))=esk2_2(relation_rng(X1),X2)|X2=relation_rng(relation_rng(X1))|in(esk2_2(relation_rng(X1),X2),X2)|~empty(X1))).
#
#cnf(i_0_2074, negated_conjecture, (empty(relation_rng(relation_rng(relation_dom(esk20_0))))|~empty(esk19_0))).
########
#cnf(i_0_2370, negated_conjecture, (relation(relation_dom(relation_rng(relation_rng(relation_dom(esk20_0)))))|~empty(esk19_0))).
##
#cnf(i_0_230, plain, (X1=function_inverse(function_inverse(X2))|in(esk18_2(function_inverse(X2),X1),relation_rng(X2))|apply(function_inverse(X2),esk16_2(function_inverse(X2),X1))!=esk15_2(function_inverse(X2),X1)|relation_dom(X1)!=relation_rng(function_inverse(X2))|~one_to_one(function_inverse(X2))|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk16_2(function_inverse(X2),X1),relation_rng(X2)))).
######
#cnf(i_0_2372, negated_conjecture, (relation_dom(relation_rng(relation_rng(relation_dom(esk20_0))))=empty_set|~empty(esk19_0))).
#####
#cnf(i_0_231, negated_conjecture, (X1=function_inverse(esk19_0)|in(esk18_2(esk19_0,X1),relation_dom(esk19_0))|in(esk15_2(esk19_0,X1),relation_dom(esk20_0))|relation_dom(X1)!=relation_dom(esk20_0)|~relation(X1)|~function(X1))).
########
#cnf(i_0_2232, negated_conjecture, (function(relation_rng(relation_rng(relation_dom(relation_dom(esk20_0)))))|~empty(esk19_0))).
#
#cnf(i_0_2494, negated_conjecture, (function(relation_rng(relation_dom(esk19_0)))|~empty(esk19_0))).
##
#cnf(i_0_232, plain, (X1=function_inverse(esk13_0)|in(esk18_2(esk13_0,X1),relation_dom(esk13_0))|in(esk15_2(esk13_0,X1),relation_rng(esk13_0))|relation_dom(X1)!=relation_rng(esk13_0)|~relation(X1)|~function(X1))).
########
#cnf(i_0_2233, negated_conjecture, (relation(relation_rng(relation_rng(relation_dom(relation_dom(esk20_0)))))|~empty(esk19_0))).
#
#cnf(i_0_2544, negated_conjecture, (relation(relation_rng(relation_dom(esk19_0)))|~empty(esk19_0))).
##
#cnf(i_0_233, plain, (X1=function_inverse(X2)|in(esk18_2(X2,X1),relation_dom(X2))|in(esk15_2(X2,X1),relation_rng(X2))|relation_dom(X1)!=relation_rng(X2)|~relation(X1)|~function(X1)|~empty(X2))).
######
#cnf(i_0_1930, negated_conjecture, (relation_rng(relation_dom(esk19_0))=relation_dom(X1)|~empty(esk19_0)|~empty(X1))).
#
#cnf(i_0_2334, negated_conjecture, (function(relation_rng(relation_rng(relation_dom(relation_dom(esk19_0)))))|~empty(esk20_0))).
##
#cnf(i_0_2604, negated_conjecture, (function(relation_rng(relation_dom(esk20_0)))|~empty(esk20_0))).
##
#cnf(i_0_234, negated_conjecture, (X1=function_inverse(esk20_0)|in(esk15_2(esk20_0,X1),relation_dom(esk19_0))|apply(X1,esk17_2(esk20_0,X1))!=esk18_2(esk20_0,X1)|relation_dom(X1)!=relation_dom(esk19_0)|~one_to_one(esk20_0)|~relation(X1)|~function(X1)|~in(esk17_2(esk20_0,X1),relation_dom(esk19_0)))).
#####
#cnf(i_0_1848, plain, (relation_dom(X1)=empty_set|~relation(X1)|~function(X1)|~empty(relation_rng(X1)))).
##
#cnf(i_0_2626, negated_conjecture, (relation_dom(esk19_0)=empty_set|~empty(relation_dom(esk20_0)))).
####
#cnf(i_0_235, negated_conjecture, (X1=function_inverse(esk19_0)|in(esk15_2(esk19_0,X1),relation_dom(esk20_0))|apply(X1,esk17_2(esk19_0,X1))!=esk18_2(esk19_0,X1)|relation_dom(X1)!=relation_dom(esk20_0)|~relation(X1)|~function(X1)|~in(esk17_2(esk19_0,X1),relation_dom(esk20_0)))).
#
#cnf(i_0_2156, negated_conjecture, (X1=relation_rng(relation_dom(relation_dom(esk20_0)))|~empty(esk19_0)|~empty(X1))).
#####
#cnf(i_0_2258, negated_conjecture, (X1=relation_rng(relation_dom(relation_dom(esk19_0)))|~empty(esk20_0)|~empty(X1))).
#
#cnf(i_0_2335, negated_conjecture, (relation(relation_rng(relation_rng(relation_dom(relation_dom(esk19_0)))))|~empty(esk20_0))).
##
#cnf(i_0_2662, negated_conjecture, (relation(relation_rng(relation_dom(esk20_0)))|~empty(esk20_0))).
##
#cnf(i_0_236, negated_conjecture, (apply(esk19_0,esk18_2(esk19_0,X1))=esk17_2(esk19_0,X1)|X1=function_inverse(esk19_0)|in(esk15_2(esk19_0,X1),relation_dom(esk20_0))|relation_dom(X1)!=relation_dom(esk20_0)|~relation(X1)|~function(X1))).
######
#cnf(i_0_2377, negated_conjecture, (X1=relation_rng(relation_rng(relation_dom(esk20_0)))|~empty(esk19_0)|~empty(X1))).
#
#cnf(i_0_2451, negated_conjecture, (function(relation_rng(relation_rng(relation_rng(relation_dom(esk20_0)))))|~empty(esk19_0))).
####
#cnf(i_0_237, plain, (apply(esk13_0,esk18_2(esk13_0,X1))=esk17_2(esk13_0,X1)|X1=function_inverse(esk13_0)|in(esk15_2(esk13_0,X1),relation_rng(esk13_0))|relation_dom(X1)!=relation_rng(esk13_0)|~relation(X1)|~function(X1))).
######
#cnf(i_0_2652, negated_conjecture, (X1=relation_rng(relation_dom(relation_dom(esk19_0)))|~empty(esk19_0)|~empty(X1))).
##
#cnf(i_0_2452, negated_conjecture, (relation(relation_rng(relation_rng(relation_rng(relation_dom(esk20_0)))))|~empty(esk19_0))).
###
#cnf(i_0_238, plain, (apply(X1,esk18_2(X1,X2))=esk17_2(X1,X2)|X2=function_inverse(X1)|in(esk15_2(X1,X2),relation_rng(X1))|relation_dom(X2)!=relation_rng(X1)|~relation(X2)|~function(X2)|~empty(X1))).
###########
#cnf(i_0_239, negated_conjecture, (apply(X1,esk15_2(esk19_0,X1))=esk16_2(esk19_0,X1)|X1=function_inverse(esk19_0)|in(esk18_2(esk19_0,X1),relation_dom(esk19_0))|relation_dom(X1)!=relation_dom(esk20_0)|~relation(X1)|~function(X1))).
#
#cnf(i_0_846, negated_conjecture, (empty_set=esk20_0|relation_dom(esk20_0)!=empty_set)).
##########
#cnf(i_0_240, plain, (apply(X1,esk15_2(esk13_0,X1))=esk16_2(esk13_0,X1)|X1=function_inverse(esk13_0)|in(esk18_2(esk13_0,X1),relation_dom(esk13_0))|relation_dom(X1)!=relation_rng(esk13_0)|~relation(X1)|~function(X1))).
#
#cnf(i_0_881, negated_conjecture, (empty_set=esk19_0|relation_dom(esk19_0)!=empty_set)).
##########
#cnf(i_0_241, plain, (apply(X1,esk15_2(X2,X1))=esk16_2(X2,X1)|X1=function_inverse(X2)|in(esk18_2(X2,X1),relation_dom(X2))|relation_dom(X1)!=relation_rng(X2)|~relation(X1)|~function(X1)|~empty(X2))).
###########
#cnf(i_0_242, plain, (apply(function_inverse(X1),esk18_2(function_inverse(X1),X2))=esk17_2(function_inverse(X1),X2)|X2=function_inverse(function_inverse(X1))|apply(function_inverse(X1),esk16_2(function_inverse(X1),X2))!=esk15_2(function_inverse(X1),X2)|relation_dom(X2)!=relation_rng(function_inverse(X1))|~one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X2)|~relation(X1)|~function(X2)|~function(X1)|~in(esk16_2(function_inverse(X1),X2),relation_rng(X1)))).
#####
#cnf(i_0_592, plain, (esk4_1(powerset(X1))=relation_dom(X2)|~empty(X2)|~empty(X1))).
######
#cnf(i_0_243, negated_conjecture, (apply(X1,esk15_2(esk20_0,X1))=esk16_2(esk20_0,X1)|X1=function_inverse(esk20_0)|apply(X1,esk17_2(esk20_0,X1))!=esk18_2(esk20_0,X1)|relation_dom(X1)!=relation_dom(esk19_0)|~one_to_one(esk20_0)|~relation(X1)|~function(X1)|~in(esk17_2(esk20_0,X1),relation_dom(esk19_0)))).
##
#cnf(i_0_607, negated_conjecture, (esk4_1(powerset(X1))=esk20_0|~empty(esk19_0)|~empty(X1))).
########
#cnf(i_0_2223, negated_conjecture, (relation_rng(relation_dom(relation_dom(esk20_0)))=esk20_0|~empty(esk19_0))).
#
#cnf(i_0_244, negated_conjecture, (apply(X1,esk15_2(esk19_0,X1))=esk16_2(esk19_0,X1)|X1=function_inverse(esk19_0)|apply(X1,esk17_2(esk19_0,X1))!=esk18_2(esk19_0,X1)|relation_dom(X1)!=relation_dom(esk20_0)|~relation(X1)|~function(X1)|~in(esk17_2(esk19_0,X1),relation_dom(esk20_0)))).
######
#cnf(i_0_2967, negated_conjecture, (relation_dom(esk19_0)=esk20_0|~empty(esk19_0))).
#####
#cnf(i_0_245, plain, (X1=function_inverse(function_inverse(X2))|apply(function_inverse(X2),esk16_2(function_inverse(X2),X1))!=esk15_2(function_inverse(X2),X1)|apply(X1,esk17_2(function_inverse(X2),X1))!=esk18_2(function_inverse(X2),X1)|relation_dom(X1)!=relation_rng(function_inverse(X2))|~one_to_one(function_inverse(X2))|~one_to_one(X2)|~relation(X1)|~relation(X2)|~function(X1)|~function(X2)|~in(esk17_2(function_inverse(X2),X1),relation_rng(function_inverse(X2)))|~in(esk16_2(function_inverse(X2),X1),relation_rng(X2)))).
########
#cnf(i_0_2224, negated_conjecture, (relation_rng(relation_dom(relation_dom(esk20_0)))=esk19_0|~empty(esk19_0))).
###
#cnf(i_0_246, negated_conjecture, (apply(esk19_0,esk18_2(esk19_0,X1))=esk17_2(esk19_0,X1)|apply(X1,esk15_2(esk19_0,X1))=esk16_2(esk19_0,X1)|X1=function_inverse(esk19_0)|relation_dom(X1)!=relation_dom(esk20_0)|~relation(X1)|~function(X1))).
###########
#cnf(i_0_247, plain, (apply(esk13_0,esk18_2(esk13_0,X1))=esk17_2(esk13_0,X1)|apply(X1,esk15_2(esk13_0,X1))=esk16_2(esk13_0,X1)|X1=function_inverse(esk13_0)|relation_dom(X1)!=relation_rng(esk13_0)|~relation(X1)|~function(X1))).
###
#cnf(i_0_2920, negated_conjecture, (subset(esk20_0,X1)|~empty(esk19_0)|~empty(X1))).
#####
#cnf(i_0_2325, negated_conjecture, (relation_rng(relation_dom(relation_dom(esk19_0)))=esk20_0|~empty(esk20_0))).
##
#cnf(i_0_3097, negated_conjecture, (relation_dom(esk19_0)=esk20_0|~empty(esk20_0))).
#
#cnf(i_0_248, plain, (apply(X2,esk18_2(X2,X1))=esk17_2(X2,X1)|apply(X1,esk15_2(X2,X1))=esk16_2(X2,X1)|X1=function_inverse(X2)|relation_dom(X1)!=relation_rng(X2)|~relation(X1)|~function(X1)|~empty(X2))).
######
#cnf(i_0_3098, negated_conjecture, (relation_dom(esk20_0)=esk20_0|~empty(esk20_0))).
#####
#cnf(i_0_253, plain, (powerset(X1)=relation_rng(X2)|esk2_2(X2,powerset(X1))!=apply(X2,X3)|~subset(esk2_2(X2,powerset(X1)),X1)|~relation(X2)|~function(X2)|~in(X3,relation_dom(X2)))).
#######
#cnf(i_0_2326, negated_conjecture, (relation_rng(relation_dom(relation_dom(esk19_0)))=esk19_0|~empty(esk20_0))).
####
#cnf(i_0_287, negated_conjecture, (apply(relation_dom(relation_dom(esk19_0)),esk3_2(relation_dom(relation_dom(esk19_0)),X1))=esk2_2(relation_dom(relation_dom(esk19_0)),X1)|X1=relation_rng(relation_dom(relation_dom(esk19_0)))|in(esk2_2(relation_dom(relation_dom(esk19_0)),X1),X1)|~empty(esk20_0))).
###########
#cnf(i_0_288, negated_conjecture, (X1=relation_dom(relation_dom(esk19_0))|in(esk21_2(X1,relation_dom(relation_dom(esk19_0))),relation_dom(X1))|relation_dom(X1)!=relation_dom(relation_dom(relation_dom(esk19_0)))|~relation(X1)|~function(X1)|~empty(esk20_0))).
#######
#cnf(i_0_2442, negated_conjecture, (relation_rng(relation_rng(relation_dom(esk20_0)))=esk20_0|~empty(esk19_0))).
####
#cnf(i_0_289, negated_conjecture, (X1=relation_rng(relation_dom(relation_dom(esk19_0)))|in(esk3_2(relation_dom(relation_dom(esk19_0)),X1),relation_dom(relation_dom(relation_dom(esk19_0))))|in(esk2_2(relation_dom(relation_dom(esk19_0)),X1),X1)|~empty(esk20_0))).
###########
#cnf(i_0_295, plain, (~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(relation_rng(function_inverse(X1)))|~in(X2,relation_rng(X1)))).
#######
#cnf(i_0_2443, negated_conjecture, (relation_rng(relation_rng(relation_dom(esk20_0)))=esk19_0|~empty(esk19_0))).
####
#cnf(i_0_326, negated_conjecture, (apply(relation_dom(relation_dom(esk20_0)),esk3_2(relation_dom(relation_dom(esk20_0)),X1))=esk2_2(relation_dom(relation_dom(esk20_0)),X1)|X1=relation_rng(relation_dom(relation_dom(esk20_0)))|in(esk2_2(relation_dom(relation_dom(esk20_0)),X1),X1)|~empty(esk19_0))).
###########
#cnf(i_0_327, negated_conjecture, (X1=relation_dom(relation_dom(esk20_0))|in(esk21_2(X1,relation_dom(relation_dom(esk20_0))),relation_dom(X1))|relation_dom(X1)!=relation_dom(relation_dom(relation_dom(esk20_0)))|~relation(X1)|~function(X1)|~empty(esk19_0))).
###########
#cnf(i_0_328, negated_conjecture, (X1=relation_rng(relation_dom(relation_dom(esk20_0)))|in(esk3_2(relation_dom(relation_dom(esk20_0)),X1),relation_dom(relation_dom(relation_dom(esk20_0))))|in(esk2_2(relation_dom(relation_dom(esk20_0)),X1),X1)|~empty(esk19_0))).
##
#cnf(i_0_3225, plain, (~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(function_inverse(X1))|~in(X2,relation_rng(X1)))).
#
#cnf(i_0_3279, negated_conjecture, (~empty(function_inverse(esk19_0))|~in(X1,relation_dom(esk20_0)))).
###
#cnf(i_0_3278, negated_conjecture, (~one_to_one(esk20_0)|~empty(function_inverse(esk20_0))|~in(X1,relation_dom(esk19_0)))).
#####
#cnf(i_0_329, plain, (apply(relation_dom(relation_rng(X1)),esk3_2(relation_dom(relation_rng(X1)),X2))=esk2_2(relation_dom(relation_rng(X1)),X2)|X2=relation_rng(relation_dom(relation_rng(X1)))|in(esk2_2(relation_dom(relation_rng(X1)),X2),X2)|~function(relation_dom(relation_rng(X1)))|~empty(X1))).
###
#cnf(i_0_3313, plain, (~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(function_inverse(X1))|~in(X2,relation_dom(X1)))).
#####
#cnf(i_0_1652, negated_conjecture, (~empty(esk20_0)|~in(X1,relation_rng(relation_rng(relation_dom(esk19_0)))))).
###
#cnf(i_0_330, plain, (X1=relation_dom(relation_rng(X2))|in(esk21_2(X1,relation_dom(relation_rng(X2))),relation_dom(X1))|relation_dom(X1)!=relation_dom(relation_dom(relation_rng(X2)))|~relation(X1)|~function(relation_dom(relation_rng(X2)))|~function(X1)|~empty(X2))).
#
#cnf(i_0_3406, negated_conjecture, (relation_rng(relation_rng(relation_dom(esk19_0)))=empty_set|~empty(esk20_0))).
#######
#cnf(i_0_1949, negated_conjecture, (~empty(esk19_0)|~in(X1,relation_dom(relation_dom(relation_dom(esk20_0)))))).
###
#cnf(i_0_331, plain, (X1=relation_rng(relation_dom(relation_rng(X2)))|in(esk3_2(relation_dom(relation_rng(X2)),X1),relation_dom(relation_dom(relation_rng(X2))))|in(esk2_2(relation_dom(relation_rng(X2)),X1),X1)|~function(relation_dom(relation_rng(X2)))|~empty(X2))).
######
#cnf(i_0_3397, negated_conjecture, (empty(relation_rng(relation_rng(relation_dom(esk19_0))))|~empty(esk20_0))).
###
#cnf(i_0_3532, negated_conjecture, (relation(relation_dom(relation_rng(relation_rng(relation_dom(esk19_0)))))|~empty(esk20_0))).
##
#cnf(i_0_347, plain, (~empty(X1)|~in(X2,relation_dom(X1)))).
#################
#cnf(i_0_3534, negated_conjecture, (relation_dom(relation_rng(relation_rng(relation_dom(esk19_0))))=empty_set|~empty(esk20_0))).
###
#cnf(i_0_3573, negated_conjecture, (relation(relation_dom(relation_rng(relation_dom(esk20_0))))|~empty(relation_dom(esk19_0)))).
########
#cnf(i_0_3487, negated_conjecture, (empty(relation_dom(relation_dom(relation_dom(esk20_0))))|~empty(esk19_0))).
#
#cnf(i_0_3694, negated_conjecture, (function(relation_dom(relation_dom(relation_dom(esk20_0))))|~empty(esk19_0))).
###########
#cnf(i_0_3696, negated_conjecture, (relation(relation_dom(relation_dom(relation_dom(relation_dom(esk20_0)))))|~empty(esk19_0))).
##########
#cnf(i_0_3698, negated_conjecture, (relation_dom(relation_dom(relation_dom(relation_dom(esk20_0))))=empty_set|~empty(esk19_0))).
#####
#cnf(i_0_366, plain, (function(relation_rng(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(function_inverse(X1)))).
######
#cnf(i_0_3477, negated_conjecture, (relation_rng(relation_dom(esk20_0))=empty_set|~empty(relation_dom(esk19_0)))).
#
#cnf(i_0_3649, negated_conjecture, (function(relation_rng(relation_rng(relation_rng(relation_dom(esk19_0)))))|~empty(esk20_0))).
####
#cnf(i_0_370, plain, (apply(relation_dom(relation_dom(X1)),esk3_2(relation_dom(relation_dom(X1)),X2))=esk2_2(relation_dom(relation_dom(X1)),X2)|X2=relation_rng(relation_dom(relation_dom(X1)))|in(esk2_2(relation_dom(relation_dom(X1)),X2),X2)|~function(relation_dom(relation_dom(X1)))|~empty(X1))).
#######
#cnf(i_0_3840, negated_conjecture, (function(relation_rng(relation_rng(relation_dom(esk20_0))))|~empty(relation_dom(esk19_0)))).
###
#cnf(i_0_3650, negated_conjecture, (relation(relation_rng(relation_rng(relation_rng(relation_dom(esk19_0)))))|~empty(esk20_0))).
#
#cnf(i_0_371, plain, (X1=relation_dom(relation_dom(X2))|in(esk21_2(X1,relation_dom(relation_dom(X2))),relation_dom(X1))|relation_dom(X1)!=relation_dom(relation_dom(relation_dom(X2)))|~relation(X1)|~function(relation_dom(relation_dom(X2)))|~function(X1)|~empty(X2))).
#####
#cnf(i_0_3618, plain, (~empty(X1)|~in(X2,relation_rng(X1)))).
######
#cnf(i_0_372, plain, (X1=relation_rng(relation_dom(relation_dom(X2)))|in(esk3_2(relation_dom(relation_dom(X2)),X1),relation_dom(relation_dom(relation_dom(X2))))|in(esk2_2(relation_dom(relation_dom(X2)),X1),X1)|~function(relation_dom(relation_dom(X2)))|~empty(X2))).
#######
#cnf(i_0_3919, negated_conjecture, (relation(relation_rng(relation_rng(relation_dom(esk20_0))))|~empty(relation_dom(esk19_0)))).
###
#cnf(i_0_3766, negated_conjecture, (function(relation_rng(relation_dom(relation_dom(relation_dom(esk20_0)))))|~empty(esk19_0))).
#
#cnf(i_0_373, plain, (relation(relation_dom(relation_rng(X1)))|~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(function_inverse(X1)))).
#######
#cnf(i_0_3767, negated_conjecture, (relation(relation_rng(relation_dom(relation_dom(relation_dom(esk20_0)))))|~empty(esk19_0))).
###########################
#cnf(i_0_3539, negated_conjecture, (X1=relation_rng(relation_rng(relation_dom(esk19_0)))|~empty(esk20_0)|~empty(X1))).
#####
#cnf(i_0_3703, negated_conjecture, (X1=relation_dom(relation_dom(relation_dom(esk20_0)))|~empty(esk19_0)|~empty(X1))).
######
#cnf(i_0_4098, negated_conjecture, (X1=relation_rng(relation_rng(relation_dom(esk19_0)))|~empty(esk19_0)|~empty(X1))).
####
#cnf(i_0_3388, negated_conjecture, (~empty(relation_dom(esk19_0))|~in(X1,relation_rng(relation_dom(esk20_0))))).
###
#cnf(i_0_3631, negated_conjecture, (relation_rng(relation_rng(relation_dom(esk19_0)))=esk20_0|~empty(esk20_0))).
##############
#cnf(i_0_392, plain, (~one_to_one(X1)|~relation(X1)|~function(X1)|~in(apply(X1,X2),relation_dom(function_inverse(X1)))|~in(relation_rng(function_inverse(X1)),X2)|~in(X2,relation_dom(X1)))).
#
#cnf(i_0_4108, negated_conjecture, (empty(relation_rng(relation_dom(esk20_0)))|~empty(relation_dom(esk19_0)))).
#########
#cnf(i_0_4166, negated_conjecture, (relation_rng(relation_dom(esk20_0))=esk20_0|~empty(relation_dom(esk19_0)))).
##
#cnf(i_0_4266, negated_conjecture, (empty_set=esk20_0|~empty(relation_dom(esk19_0)))).
###
#cnf(i_0_4265, negated_conjecture, (~empty(relation_dom(esk19_0))|~in(X1,esk20_0))).
#############
#cnf(i_0_4189, negated_conjecture, (relation_dom(relation_rng(relation_dom(esk20_0)))=empty_set|~empty(relation_dom(esk19_0)))).
####################################
#cnf(i_0_4286, negated_conjecture, (relation_rng(relation_dom(esk20_0))=esk19_0|~empty(relation_dom(esk19_0)))).
#
#cnf(i_0_4391, negated_conjecture, (esk20_0=esk19_0|~empty(relation_dom(esk19_0)))).
####
#cnf(i_0_4384, negated_conjecture, (~empty(relation_dom(esk19_0))|~in(X1,esk19_0))).
###
#cnf(i_0_4385, negated_conjecture, (empty_set=esk19_0|~empty(relation_dom(esk19_0)))).
####################################
#cnf(i_0_3632, negated_conjecture, (relation_rng(relation_rng(relation_dom(esk19_0)))=esk19_0|~empty(esk20_0))).
###############################
#cnf(i_0_3748, negated_conjecture, (relation_dom(relation_dom(relation_dom(esk20_0)))=esk20_0|~empty(esk19_0))).
#############
#cnf(i_0_3749, negated_conjecture, (relation_dom(relation_dom(relation_dom(esk20_0)))=esk19_0|~empty(esk19_0))).
#############
#cnf(i_0_426, plain, (~empty(X1)|~in(X2,relation_rng(relation_dom(X1))))).
######
#cnf(i_0_4608, plain, (relation_rng(relation_dom(X1))=empty_set|~empty(X1))).
#############
#cnf(i_0_3784, negated_conjecture, (~empty(relation_dom(esk19_0))|~in(X1,relation_dom(relation_dom(esk20_0))))).
#########################
#cnf(i_0_438, plain, (relation_dom(relation_rng(X1))=empty_set|~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(function_inverse(X1)))).
######
#cnf(i_0_4746, negated_conjecture, (empty(relation_dom(relation_dom(esk20_0)))|~empty(relation_dom(esk19_0)))).
#
#cnf(i_0_4759, negated_conjecture, (function(relation_dom(relation_dom(esk20_0)))|~empty(relation_dom(esk19_0)))).
#
#cnf(i_0_4761, negated_conjecture, (relation(relation_dom(relation_dom(relation_dom(esk20_0))))|~empty(relation_dom(esk19_0)))).
#########
#cnf(i_0_4763, negated_conjecture, (relation_dom(relation_dom(relation_dom(esk20_0)))=empty_set|~empty(relation_dom(esk19_0)))).
##
#cnf(i_0_4832, negated_conjecture, (function(relation_rng(relation_dom(relation_dom(esk20_0))))|~empty(relation_dom(esk19_0)))).
#
#cnf(i_0_4833, negated_conjecture, (relation(relation_rng(relation_dom(relation_dom(esk20_0))))|~empty(relation_dom(esk19_0)))).
#############
#cnf(i_0_447, plain, (~empty(X1)|~in(X2,relation_rng(relation_rng(X1))))).
#
#cnf(i_0_4945, plain, (relation_rng(relation_rng(X1))=empty_set|~empty(X1))).
#################
#cnf(i_0_4814, negated_conjecture, (relation_dom(relation_dom(esk20_0))=esk20_0|~empty(relation_dom(esk19_0)))).
##
#cnf(i_0_5045, negated_conjecture, (relation_dom(relation_dom(esk20_0))=esk20_0|~empty(esk20_0))).
########################
#cnf(i_0_471, plain, (relation_rng(X1)=relation_dom(X2)|~empty(X2)|~empty(X1))).
###########
#cnf(i_0_476, plain, (~one_to_one(X1)|~relation(X1)|~function(X1)|~in(relation_rng(X1),esk1_3(function_inverse(X1),relation_rng(function_inverse(X1)),X2))|~in(X2,relation_rng(function_inverse(X1))))).
###################
#cnf(i_0_4815, negated_conjecture, (relation_dom(relation_dom(esk20_0))=esk19_0|~empty(relation_dom(esk19_0)))).
##
#cnf(i_0_5180, negated_conjecture, (relation_dom(relation_dom(esk20_0))=esk19_0|~empty(esk20_0))).
#############################################
#cnf(i_0_487, plain, (relation_rng(X1)=relation_rng(X2)|~empty(X2)|~empty(X1))).
###########
#cnf(i_0_488, plain, (~one_to_one(X1)|~relation(X1)|~function(X1)|~in(X2,relation_rng(function_inverse(X1)))|~in(relation_dom(X1),X2))).
#################################
#cnf(i_0_492, plain, (~one_to_one(function_inverse(X1))|~one_to_one(X1)|~relation(X1)|~function(X1)|~in(relation_rng(X1),apply(function_inverse(function_inverse(X1)),X2))|~in(X2,relation_rng(function_inverse(X1))))).
##############################
#cnf(i_0_2029, negated_conjecture, (~empty(esk20_0)|~in(X1,relation_dom(relation_dom(relation_dom(esk19_0)))))).
#########
#cnf(i_0_5655, negated_conjecture, (empty(relation_dom(relation_dom(relation_dom(esk19_0))))|~empty(esk20_0))).
#
#cnf(i_0_5667, negated_conjecture, (function(relation_dom(relation_dom(relation_dom(esk19_0))))|~empty(esk20_0))).
###########
#cnf(i_0_5669, negated_conjecture, (relation(relation_dom(relation_dom(relation_dom(relation_dom(esk19_0)))))|~empty(esk20_0))).
##########
#cnf(i_0_5671, negated_conjecture, (relation_dom(relation_dom(relation_dom(relation_dom(esk19_0))))=empty_set|~empty(esk20_0))).
####
#cnf(i_0_5745, negated_conjecture, (function(relation_rng(relation_dom(relation_dom(relation_dom(esk19_0)))))|~empty(esk20_0))).
########
#cnf(i_0_5746, negated_conjecture, (relation(relation_rng(relation_dom(relation_dom(relation_dom(esk19_0)))))|~empty(esk20_0))).
############
#cnf(i_0_5726, negated_conjecture, (relation_dom(relation_dom(relation_dom(esk19_0)))=esk20_0|~empty(esk20_0))).
#####################
#cnf(i_0_5727, negated_conjecture, (relation_dom(relation_dom(relation_dom(esk19_0)))=esk19_0|~empty(esk20_0))).
#######################
#cnf(i_0_2084, negated_conjecture, (~empty(esk19_0)|~in(X1,relation_dom(relation_rng(relation_dom(esk20_0)))))).
#########
#cnf(i_0_5927, negated_conjecture, (empty(relation_dom(relation_rng(relation_dom(esk20_0))))|~empty(esk19_0))).
#
#cnf(i_0_5939, negated_conjecture, (function(relation_dom(relation_rng(relation_dom(esk20_0))))|~empty(esk19_0))).
####
#cnf(i_0_526, plain, (relation(relation_dom(function_inverse(X1)))|~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(relation_rng(X1)))).
#######
#cnf(i_0_5941, negated_conjecture, (relation(relation_dom(relation_dom(relation_rng(relation_dom(esk20_0)))))|~empty(esk19_0))).
####
#cnf(i_0_527, plain, (function_inverse(X1)=empty_set|~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(relation_rng(X1)))).
#
#cnf(i_0_6030, plain, (function_inverse(empty_set)=empty_set|~one_to_one(empty_set))).
######
#cnf(i_0_6029, negated_conjecture, (function_inverse(esk19_0)=empty_set|~empty(relation_dom(esk20_0)))).
#
#cnf(i_0_6100, negated_conjecture, (function_inverse(esk19_0)=empty_set|~empty(esk20_0))).
###
#cnf(i_0_528, plain, (relation_dom(function_inverse(X1))=empty_set|~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(relation_rng(X1)))).
#
#cnf(i_0_6101, negated_conjecture, (function_inverse(esk19_0)=empty_set|~empty(esk19_0))).
#
#cnf(i_0_6132, negated_conjecture, (~empty(esk20_0))).
#
#cnf(i_0_6214, negated_conjecture, (~empty(esk19_0))).
###
#cnf(i_0_6102, negated_conjecture, (function_inverse(esk19_0)=empty_set|~empty(relation_dom(esk19_0)))).
#####
#cnf(i_0_529, plain, (function_inverse(X1)=relation_dom(X2)|~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(relation_rng(X1))|~empty(X2))).
##########
#cnf(i_0_6028, negated_conjecture, (function_inverse(esk20_0)=empty_set|~one_to_one(esk20_0)|~empty(relation_dom(esk19_0)))).
#
#cnf(i_0_530, plain, (function_inverse(X1)=relation_rng(X2)|~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(relation_rng(X1))|~empty(X2))).
###########
#cnf(i_0_531, plain, (X1=function_inverse(X2)|~one_to_one(X2)|~relation(X2)|~function(X2)|~empty(relation_rng(X2))|~empty(X1))).
#####
#cnf(i_0_6303, plain, (X1=function_inverse(empty_set)|~one_to_one(empty_set)|~empty(X1))).
#
#cnf(i_0_6342, plain, (X1=function_inverse(empty_set)|~empty(X1))).
###
#cnf(i_0_6358, negated_conjecture, (relation_rng(relation_dom(esk20_0))=function_inverse(empty_set)|~empty(relation_dom(esk19_0)))).
###
#cnf(i_0_6345, plain, (function_inverse(empty_set)=empty_set)).
################
#cnf(i_0_4599, plain, (empty(relation_rng(relation_dom(X1)))|~empty(X1))).
###########
#cnf(i_0_6477, plain, (function(relation_rng(relation_dom(X1)))|~empty(X1))).
######
#cnf(i_0_6478, plain, (relation(relation_rng(relation_dom(X1)))|~empty(X1))).
#####
#cnf(i_0_6481, plain, (relation_dom(relation_rng(relation_dom(X1)))=empty_set|~empty(X1))).
#################################
#cnf(i_0_4936, plain, (empty(relation_rng(relation_rng(X1)))|~empty(X1))).
######################
#cnf(i_0_6771, plain, (function(relation_rng(relation_rng(X1)))|~empty(X1))).
######
#cnf(i_0_6772, plain, (relation(relation_rng(relation_rng(X1)))|~empty(X1))).
###########
#cnf(i_0_6775, plain, (relation_dom(relation_rng(relation_rng(X1)))=empty_set|~empty(X1))).
######################
#cnf(i_0_6479, plain, (relation(relation_dom(relation_rng(relation_dom(X1))))|~empty(X1))).
##########
#cnf(i_0_593, plain, (esk4_1(powerset(X1))=relation_rng(X2)|~empty(X2)|~empty(X1))).
######
#cnf(i_0_6773, plain, (relation(relation_dom(relation_rng(relation_rng(X1))))|~empty(X1))).
#####
#cnf(i_0_595, plain, (apply(esk4_1(powerset(X1)),esk3_2(esk4_1(powerset(X1)),X2))=esk2_2(esk4_1(powerset(X1)),X2)|X2=relation_rng(esk4_1(powerset(X1)))|in(esk2_2(esk4_1(powerset(X1)),X2),X2)|~empty(X1))).
###########
#cnf(i_0_596, plain, (X1=esk4_1(powerset(X2))|in(esk21_2(X1,esk4_1(powerset(X2))),relation_dom(X1))|relation_dom(X1)!=relation_dom(esk4_1(powerset(X2)))|~relation(X1)|~function(X1)|~empty(X2))).
###########
#cnf(i_0_597, plain, (X1=relation_rng(esk4_1(powerset(X2)))|in(esk3_2(esk4_1(powerset(X2)),X1),relation_dom(esk4_1(powerset(X2))))|in(esk2_2(esk4_1(powerset(X2)),X1),X1)|~empty(X2))).
###########
#cnf(i_0_606, plain, (element(esk4_1(esk7_1(X1)),X1)|empty(X1))).
##
#cnf(i_0_7304, plain, (~empty(X1)|~in(X2,esk4_1(esk7_1(powerset(X1)))))).
#########
#cnf(i_0_608, plain, (esk4_1(powerset(X1))=esk4_1(powerset(X2))|~empty(X2)|~empty(X1))).
###########
#cnf(i_0_610, plain, (function_inverse(X1)=esk4_1(powerset(X2))|~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(relation_rng(X1))|~empty(X2))).
###############
#cnf(i_0_7138, plain, (~empty(X1)|~empty(X3)|~in(X2,relation_rng(esk4_1(powerset(X3)))))).
#####################################################################
#cnf(i_0_5618, negated_conjecture, (~one_to_one(function_inverse(esk19_0))|~in(relation_dom(esk20_0),apply(function_inverse(function_inverse(esk19_0)),X1))|~in(X1,relation_rng(function_inverse(esk19_0))))).
#
#cnf(i_0_7425, negated_conjecture, (~one_to_one(function_inverse(esk19_0))|~in(relation_dom(esk20_0),apply(esk19_0,X1))|~in(X1,relation_rng(function_inverse(esk19_0))))).
###
#cnf(i_0_629, negated_conjecture, (esk4_1(powerset(X1))=relation_dom(esk20_0)|~empty(relation_dom(esk19_0))|~empty(X1))).
###########
#cnf(i_0_639, plain, (element(esk4_1(esk4_1(powerset(X1))),X1)|empty(esk4_1(powerset(X1))))).
############################################
#cnf(i_0_696, negated_conjecture, (esk1_3(esk20_0,relation_dom(esk19_0),X1)=apply(function_inverse(esk20_0),X1)|~one_to_one(esk20_0)|~in(X1,relation_dom(esk19_0)))).
#######
#cnf(i_0_7478, negated_conjecture, (~one_to_one(esk20_0)|~in(relation_dom(esk20_0),apply(function_inverse(esk20_0),X1))|~in(X1,relation_dom(esk19_0)))).
#####
#cnf(i_0_6302, negated_conjecture, (X1=function_inverse(esk19_0)|~empty(relation_dom(esk20_0))|~empty(X1))).
#
#cnf(i_0_7485, negated_conjecture, (X1=function_inverse(esk19_0)|~empty(relation_dom(esk19_0))|~empty(X1))).
#######
#cnf(i_0_6034, negated_conjecture, (function_inverse(relation_dom(esk20_0))=empty_set|~one_to_one(relation_dom(esk20_0))|~empty(relation_dom(esk19_0)))).
############
#cnf(i_0_4278, negated_conjecture, (~empty(relation_dom(esk19_0))|~in(X1,relation_rng(relation_rng(relation_dom(esk20_0)))))).
#
#cnf(i_0_709, plain, (~empty(X1)|~in(X2,relation_rng(esk4_1(powerset(X1)))))).
#
#cnf(i_0_7550, negated_conjecture, (relation_rng(relation_rng(relation_dom(esk20_0)))=empty_set|~empty(relation_dom(esk19_0)))).
###########################
#cnf(i_0_7541, negated_conjecture, (empty(relation_rng(relation_rng(relation_dom(esk20_0))))|~empty(relation_dom(esk19_0)))).
###
#cnf(i_0_7661, negated_conjecture, (relation(relation_dom(relation_rng(relation_rng(relation_dom(esk20_0)))))|~empty(relation_dom(esk19_0)))).
##############
#cnf(i_0_7663, negated_conjecture, (relation_dom(relation_rng(relation_rng(relation_dom(esk20_0))))=empty_set|~empty(relation_dom(esk19_0)))).
########
#cnf(i_0_7772, negated_conjecture, (function(relation_rng(relation_rng(relation_rng(relation_dom(esk20_0)))))|~empty(relation_dom(esk19_0)))).
####################
#cnf(i_0_7773, negated_conjecture, (relation(relation_rng(relation_rng(relation_rng(relation_dom(esk20_0)))))|~empty(relation_dom(esk19_0)))).
####
#cnf(i_0_724, negated_conjecture, (X1=function_inverse(esk19_0)|apply(X1,esk21_2(X1,function_inverse(esk19_0)))!=apply(esk20_0,esk21_2(X1,function_inverse(esk19_0)))|relation_dom(X1)!=relation_dom(function_inverse(esk19_0))|~relation(function_inverse(esk19_0))|~relation(X1)|~function(function_inverse(esk19_0))|~function(X1)|~in(esk21_2(X1,function_inverse(esk19_0)),relation_dom(esk20_0)))).
########
#cnf(i_0_7889, negated_conjecture, (relation_dom(function_inverse(esk19_0))!=relation_dom(esk20_0)|~relation(function_inverse(esk19_0))|~function(function_inverse(esk19_0))|~in(esk21_2(esk20_0,function_inverse(esk19_0)),relation_dom(esk20_0)))).
#
#cnf(i_0_7753, negated_conjecture, (relation_rng(relation_rng(relation_dom(esk20_0)))=esk20_0|~empty(relation_dom(esk19_0)))).
#
#cnf(i_0_7966, negated_conjecture, (~empty(relation_dom(esk19_0)))).
#
#cnf(i_0_725, negated_conjecture, (function_inverse(esk19_0)=X1|apply(esk20_0,esk21_2(function_inverse(esk19_0),X1))!=apply(X1,esk21_2(function_inverse(esk19_0),X1))|relation_dom(function_inverse(esk19_0))!=relation_dom(X1)|~relation(function_inverse(esk19_0))|~relation(X1)|~function(function_inverse(esk19_0))|~function(X1)|~in(esk21_2(function_inverse(esk19_0),X1),relation_dom(esk20_0)))).
###########
#cnf(i_0_726, negated_conjecture, (apply(esk20_0,esk1_3(function_inverse(esk19_0),relation_rng(function_inverse(esk19_0)),X1))=X1|~relation(function_inverse(esk19_0))|~function(function_inverse(esk19_0))|~in(esk1_3(function_inverse(esk19_0),relation_rng(function_inverse(esk19_0)),X1),relation_dom(esk20_0))|~in(X1,relation_rng(function_inverse(esk19_0))))).
###########
#cnf(i_0_727, negated_conjecture, (apply(esk20_0,apply(function_inverse(function_inverse(esk19_0)),X1))=X1|~one_to_one(function_inverse(esk19_0))|~relation(function_inverse(esk19_0))|~function(function_inverse(esk19_0))|~in(apply(function_inverse(function_inverse(esk19_0)),X1),relation_dom(esk20_0))|~in(X1,relation_rng(function_inverse(esk19_0))))).
#########
#cnf(i_0_7986, negated_conjecture, (relation_dom(function_inverse(esk19_0))!=relation_dom(esk20_0)|~relation(function_inverse(esk19_0))|~function(function_inverse(esk19_0))|~in(esk21_2(function_inverse(esk19_0),esk20_0),relation_dom(esk20_0)))).
##
#cnf(i_0_728, negated_conjecture, (in(apply(esk20_0,X1),relation_rng(function_inverse(esk19_0)))|~relation(function_inverse(esk19_0))|~function(function_inverse(esk19_0))|~in(X1,relation_dom(function_inverse(esk19_0)))|~in(X1,relation_dom(esk20_0)))).
###########
#cnf(i_0_729, negated_conjecture, (apply(function_inverse(function_inverse(esk19_0)),apply(esk20_0,X1))=X1|~one_to_one(function_inverse(esk19_0))|~relation(function_inverse(esk19_0))|~function(function_inverse(esk19_0))|~in(X1,relation_dom(function_inverse(esk19_0)))|~in(X1,relation_dom(esk20_0)))).
###########
#cnf(i_0_730, negated_conjecture, (~relation(function_inverse(esk19_0))|~function(function_inverse(esk19_0))|~in(relation_rng(function_inverse(esk19_0)),apply(esk20_0,X1))|~in(X1,relation_dom(function_inverse(esk19_0)))|~in(X1,relation_dom(esk20_0)))).
####
#cnf(i_0_6486, plain, (X1=relation_rng(relation_dom(X2))|~empty(X1)|~empty(X2))).
##################
#cnf(i_0_739, negated_conjecture, (esk1_3(esk19_0,relation_dom(esk20_0),X1)=apply(function_inverse(esk19_0),X1)|~in(X1,relation_dom(esk20_0)))).
####
#cnf(i_0_6780, plain, (X1=relation_rng(relation_rng(X2))|~empty(X1)|~empty(X2))).
###
#cnf(i_0_8116, negated_conjecture, (~in(relation_dom(esk19_0),apply(function_inverse(esk19_0),X1))|~in(X1,relation_dom(esk20_0)))).
#####################################
#cnf(i_0_749, plain, (relation(relation_dom(relation_rng(X1)))|~relation(X1)|~function(X1)|~empty(relation_dom(X1)))).
#
#cnf(i_0_8161, negated_conjecture, (relation(relation_dom(relation_dom(esk19_0)))|~empty(relation_dom(esk20_0)))).
##########
#cnf(i_0_751, plain, (relation_dom(relation_rng(X1))=empty_set|~relation(X1)|~function(X1)|~empty(relation_dom(X1)))).
#
#cnf(i_0_8274, negated_conjecture, (relation_dom(relation_dom(esk19_0))=empty_set|~empty(relation_dom(esk20_0)))).
##########
#cnf(i_0_752, plain, (relation_rng(X1)=relation_dom(X2)|~relation(X1)|~function(X1)|~empty(relation_dom(X1))|~empty(X2))).
###########
#cnf(i_0_753, plain, (relation_rng(X1)=relation_rng(X2)|~relation(X1)|~function(X1)|~empty(relation_dom(X1))|~empty(X2))).
###########
#cnf(i_0_754, plain, (relation_rng(X1)=esk4_1(powerset(X2))|~relation(X1)|~function(X1)|~empty(relation_dom(X1))|~empty(X2))).
###########
#cnf(i_0_755, plain, (X1=relation_rng(X2)|~relation(X2)|~function(X2)|~empty(relation_dom(X2))|~empty(X1))).
#############################################
#cnf(i_0_6218, negated_conjecture, (function_inverse(esk19_0)=relation_dom(X1)|~empty(relation_dom(esk20_0))|~empty(X1))).
##############################
#cnf(i_0_5617, negated_conjecture, (~one_to_one(function_inverse(esk20_0))|~one_to_one(esk20_0)|~in(relation_dom(esk19_0),apply(function_inverse(function_inverse(esk20_0)),X1))|~in(X1,relation_rng(function_inverse(esk20_0))))).
#
#cnf(i_0_8494, negated_conjecture, (~one_to_one(function_inverse(esk20_0))|~one_to_one(esk20_0)|~in(relation_dom(esk19_0),apply(esk20_0,X1))|~in(X1,relation_rng(function_inverse(esk20_0))))).
##
#cnf(i_0_6261, negated_conjecture, (function_inverse(esk19_0)=relation_rng(X1)|~empty(relation_dom(esk20_0))|~empty(X1))).
#####################
#cnf(i_0_777, plain, (~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(relation_rng(X1))|~in(X2,relation_rng(function_inverse(X1))))).
###########
#cnf(i_0_778, plain, (~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(relation_dom(X1))|~in(X2,relation_rng(function_inverse(X1))))).
###########
#cnf(i_0_779, negated_conjecture, (in(esk1_3(function_inverse(esk20_0),relation_rng(function_inverse(esk20_0)),X1),relation_dom(esk19_0))|~one_to_one(esk20_0)|~in(X1,relation_rng(function_inverse(esk20_0))))).
#####
#cnf(i_0_8569, negated_conjecture, (~one_to_one(esk20_0)|~empty(relation_dom(esk20_0))|~in(X1,relation_rng(function_inverse(esk20_0))))).
#
#cnf(i_0_8596, negated_conjecture, (relation_rng(function_inverse(esk20_0))=empty_set|~one_to_one(esk20_0)|~empty(relation_dom(esk20_0)))).
##
#cnf(i_0_8571, negated_conjecture, (~one_to_one(esk20_0)|~empty(function_inverse(esk19_0))|~in(X1,relation_rng(function_inverse(esk20_0))))).
#
#cnf(i_0_8677, negated_conjecture, (relation_rng(function_inverse(esk20_0))=empty_set|~one_to_one(esk20_0)|~empty(function_inverse(esk19_0)))).
#
#cnf(i_0_8732, negated_conjecture, (~one_to_one(esk20_0)|~empty(function_inverse(esk19_0))|~in(X1,relation_dom(esk19_0)))).
#
#cnf(i_0_780, negated_conjecture, (in(esk1_3(function_inverse(esk19_0),relation_rng(function_inverse(esk19_0)),X1),relation_dom(esk20_0))|~in(X1,relation_rng(function_inverse(esk19_0))))).
#
#cnf(i_0_8587, negated_conjecture, (empty(relation_rng(function_inverse(esk20_0)))|~one_to_one(esk20_0)|~empty(relation_dom(esk20_0)))).
######
#cnf(i_0_8762, negated_conjecture, (function(relation_rng(function_inverse(esk20_0)))|~one_to_one(esk20_0)|~empty(relation_dom(esk20_0)))).
#
#cnf(i_0_8763, negated_conjecture, (relation(relation_rng(function_inverse(esk20_0)))|~one_to_one(esk20_0)|~empty(relation_dom(esk20_0)))).
#
#cnf(i_0_8764, negated_conjecture, (relation(relation_dom(relation_rng(function_inverse(esk20_0))))|~one_to_one(esk20_0)|~empty(relation_dom(esk20_0)))).
##
#cnf(i_0_781, plain, (~empty(X1)|~in(X2,relation_rng(function_inverse(X1))))).
#
#cnf(i_0_8863, plain, (relation_rng(function_inverse(X1))=empty_set|~empty(X1))).
######
#cnf(i_0_8745, negated_conjecture, (~empty(relation_dom(esk20_0))|~in(X1,relation_rng(function_inverse(esk19_0))))).
#
#cnf(i_0_8963, negated_conjecture, (relation_rng(function_inverse(esk19_0))=empty_set|~empty(relation_dom(esk20_0)))).
####
#cnf(i_0_8954, negated_conjecture, (empty(relation_rng(function_inverse(esk19_0)))|~empty(relation_dom(esk20_0)))).
######
#cnf(i_0_9035, negated_conjecture, (function(relation_rng(function_inverse(esk19_0)))|~empty(relation_dom(esk20_0)))).
#
#cnf(i_0_9036, negated_conjecture, (relation(relation_rng(function_inverse(esk19_0)))|~empty(relation_dom(esk20_0)))).
#
#cnf(i_0_9037, negated_conjecture, (relation(relation_dom(relation_rng(function_inverse(esk19_0))))|~empty(relation_dom(esk20_0)))).
#
#cnf(i_0_9039, negated_conjecture, (relation_dom(relation_rng(function_inverse(esk19_0)))=empty_set|~empty(relation_dom(esk20_0)))).
##
#cnf(i_0_8854, plain, (empty(relation_rng(function_inverse(X1)))|~empty(X1))).
######
#cnf(i_0_9151, negated_conjecture, (function(relation_rng(relation_rng(function_inverse(esk19_0))))|~empty(relation_dom(esk20_0)))).
#
#cnf(i_0_9153, negated_conjecture, (relation(relation_rng(relation_rng(function_inverse(esk19_0))))|~empty(relation_dom(esk20_0)))).
#
#cnf(i_0_8748, negated_conjecture, (~one_to_one(esk20_0)|~empty(function_inverse(esk20_0))|~in(X1,relation_rng(function_inverse(esk19_0))))).
#
#cnf(i_0_9290, negated_conjecture, (relation_rng(function_inverse(esk19_0))=empty_set|~one_to_one(esk20_0)|~empty(function_inverse(esk20_0)))).
##
#cnf(i_0_9186, plain, (function(relation_rng(function_inverse(X1)))|~empty(X1))).
#####
#cnf(i_0_9187, plain, (relation(relation_rng(function_inverse(X1)))|~empty(X1))).
#
#cnf(i_0_9346, negated_conjecture, (~one_to_one(esk20_0)|~empty(function_inverse(esk20_0))|~in(X1,relation_dom(esk20_0)))).
#
#cnf(i_0_9132, negated_conjecture, (relation_rng(function_inverse(esk19_0))=esk20_0|~empty(relation_dom(esk20_0)))).
#
#cnf(i_0_9485, negated_conjecture, (~empty(relation_dom(esk20_0)))).
##############################
#cnf(i_0_9190, plain, (relation_dom(relation_rng(function_inverse(X1)))=empty_set|~empty(X1))).
################
#cnf(i_0_791, plain, (function(relation_rng(esk4_1(powerset(X1))))|~empty(X1))).
######
#cnf(i_0_9188, plain, (relation(relation_dom(relation_rng(function_inverse(X1))))|~empty(X1))).
###
#cnf(i_0_8714, negated_conjecture, (relation_dom(function_inverse(esk20_0))=empty_set|~one_to_one(esk20_0)|~relation(function_inverse(esk20_0))|~function(function_inverse(esk20_0))|~empty(function_inverse(esk19_0)))).
##
#cnf(i_0_793, plain, (function(relation_rng(function_inverse(X1)))|~one_to_one(X1)|~relation(X1)|~function(X1)|~empty(relation_rng(X1)))).
########
#cnf(i_0_9328, negated_conjecture, (relation_dom(function_inverse(esk19_0))=empty_set|~one_to_one(esk20_0)|~relation(function_inverse(esk19_0))|~function(function_inverse(esk19_0))|~empty(function_inverse(esk20_0)))).
#
#cnf(i_0_9296, negated_conjecture, (empty(function_inverse(esk19_0))|~one_to_one(esk20_0)|~relation(function_inverse(esk19_0))|~empty(function_inverse(esk20_0)))).
##############
#cnf(i_0_8668, negated_conjecture, (empty(relation_rng(function_inverse(esk20_0)))|~one_to_one(esk20_0)|~empty(function_inverse(esk19_0)))).
######
#cnf(i_0_9635, negated_conjecture, (function(relation_rng(function_inverse(esk20_0)))|~one_to_one(esk20_0)|~empty(function_inverse(esk19_0)))).
#
#cnf(i_0_9636, negated_conjecture, (relation(relation_rng(function_inverse(esk20_0)))|~one_to_one(esk20_0)|~empty(function_inverse(esk19_0)))).
#
#cnf(i_0_9637, negated_conjecture, (relation(relation_dom(relation_rng(function_inverse(esk20_0))))|~one_to_one(esk20_0)|~empty(function_inverse(esk19_0)))).
#
#cnf(i_0_9639, negated_conjecture, (relation_dom(relation_rng(function_inverse(esk20_0)))=empty_set|~one_to_one(esk20_0)|~empty(function_inverse(esk19_0)))).
##
#cnf(i_0_9281, negated_conjecture, (empty(relation_rng(function_inverse(esk19_0)))|~one_to_one(esk20_0)|~empty(function_inverse(esk20_0)))).
######
#cnf(i_0_9784, negated_conjecture, (function(relation_rng(function_inverse(esk19_0)))|~one_to_one(esk20_0)|~empty(function_inverse(esk20_0)))).
#
#cnf(i_0_9785, negated_conjecture, (relation(relation_rng(function_inverse(esk19_0)))|~one_to_one(esk20_0)|~empty(function_inverse(esk20_0)))).
#
#cnf(i_0_9786, negated_conjecture, (relation(relation_dom(relation_rng(function_inverse(esk19_0))))|~one_to_one(esk20_0)|~empty(function_inverse(esk20_0)))).
#
#cnf(i_0_9748, negated_conjecture, (function(relation_rng(relation_rng(function_inverse(esk20_0))))|~one_to_one(esk20_0)|~empty(function_inverse(esk19_0)))).
#
#cnf(i_0_812, negated_conjecture, (esk1_3(esk20_0,relation_dom(esk19_0),X1)=apply(esk19_0,X1)|~in(X1,relation_dom(esk19_0)))).
#
#cnf(i_0_9788, negated_conjecture, (relation_dom(relation_rng(function_inverse(esk19_0)))=empty_set|~one_to_one(esk20_0)|~empty(function_inverse(esk20_0)))).
#######
#cnf(i_0_9750, negated_conjecture, (relation(relation_rng(relation_rng(function_inverse(esk20_0))))|~one_to_one(esk20_0)|~empty(function_inverse(esk19_0)))).
#
#cnf(i_0_9930, negated_conjecture, (function(relation_rng(relation_rng(function_inverse(esk19_0))))|~one_to_one(esk20_0)|~empty(function_inverse(esk20_0)))).
#
#cnf(i_0_9932, negated_conjecture, (relation(relation_rng(relation_rng(function_inverse(esk19_0))))|~one_to_one(esk20_0)|~empty(function_inverse(esk20_0)))).
#
#cnf(i_0_814, plain, (relation_dom(X1)=relation_dom(esk4_1(powerset(X2)))|~empty(X1)|~empty(X2))).
##########
#cnf(i_0_9729, negated_conjecture, (relation_rng(function_inverse(esk20_0))=esk20_0|relation_dom(esk20_0)!=empty_set|~one_to_one(esk20_0)|~empty(function_inverse(esk19_0)))).
#
#cnf(i_0_816, plain, (relation_dom(X1)=relation_dom(function_inverse(X2))|~one_to_one(X2)|~relation(X2)|~function(X2)|~empty(relation_rng(X2))|~empty(X1))).
##
#cnf(i_0_10145, negated_conjecture, (relation_dom(esk20_0)!=empty_set|~one_to_one(esk20_0)|~empty(function_inverse(esk19_0)))).
#####
#cnf(i_0_9730, negated_conjecture, (relation_rng(function_inverse(esk20_0))=esk19_0|relation_dom(esk19_0)!=empty_set|~one_to_one(esk20_0)|~empty(function_inverse(esk19_0)))).
#
#cnf(i_0_10292, negated_conjecture, (relation_dom(esk19_0)!=empty_set|~one_to_one(esk20_0)|~empty(function_inverse(esk19_0)))).
####
#cnf(i_0_9897, negated_conjecture, (apply(esk20_0,apply(esk19_0,X1))=X1|~in(X1,relation_dom(esk19_0)))).
######
#cnf(i_0_9911, negated_conjecture, (relation_rng(function_inverse(esk19_0))=esk20_0|relation_dom(esk20_0)!=empty_set|~one_to_one(esk20_0)|~empty(function_inverse(esk20_0)))).
#
#cnf(i_0_10402, negated_conjecture, (relation_dom(esk20_0)!=empty_set|~one_to_one(esk20_0)|~empty(function_inverse(esk20_0)))).
##
#cnf(i_0_9912, negated_conjecture, (relation_rng(function_inverse(esk19_0))=esk19_0|relation_dom(esk19_0)!=empty_set|~one_to_one(esk20_0)|~empty(function_inverse(esk20_0)))).
#
#cnf(i_0_820, plain, (relation_dom(X1)=relation_dom(relation_dom(X2))|~empty(X1)|~empty(X2))).
##
#cnf(i_0_10497, negated_conjecture, (relation_dom(esk19_0)!=empty_set|~one_to_one(esk20_0)|~empty(function_inverse(esk20_0)))).
#########
#cnf(i_0_821, plain, (relation_dom(X1)=relation_dom(relation_rng(X2))|~empty(X1)|~empty(X2))).
#########
#cnf(i_0_8680, negated_conjecture, (~one_to_one(esk20_0)|~relation(function_inverse(esk20_0))|~function(function_inverse(esk20_0))|~empty(function_inverse(esk19_0))|~in(X1,relation_dom(function_inverse(esk20_0))))).
##
#cnf(i_0_822, plain, (relation_dom(X1)=relation_dom(relation_rng(X2))|~relation(X2)|~function(X2)|~empty(relation_dom(X2))|~empty(X1))).
#########
#cnf(i_0_9294, negated_conjecture, (~one_to_one(esk20_0)|~relation(function_inverse(esk19_0))|~function(function_inverse(esk19_0))|~empty(function_inverse(esk20_0))|~in(X1,relation_dom(function_inverse(esk19_0))))).
##
#cnf(i_0_823, plain, (apply(relation_dom(esk4_1(powerset(X1))),esk3_2(relation_dom(esk4_1(powerset(X1))),X2))=esk2_2(relation_dom(esk4_1(powerset(X1))),X2)|X2=relation_rng(relation_dom(esk4_1(powerset(X1))))|in(esk2_2(relation_dom(esk4_1(powerset(X1))),X2),X2)|~function(relation_dom(esk4_1(powerset(X1))))|~empty(X1))).
###########
#cnf(i_0_824, plain, (X1=relation_dom(esk4_1(powerset(X2)))|in(esk21_2(X1,relation_dom(esk4_1(powerset(X2)))),relation_dom(X1))|relation_dom(X1)!=relation_dom(relation_dom(esk4_1(powerset(X2))))|~relation(X1)|~function(relation_dom(esk4_1(powerset(X2))))|~function(X1)|~empty(X2))).
#########
#cnf(i_0_8761, negated_conjecture, (in(apply(esk19_0,X1),relation_dom(esk20_0))|~in(X1,relation_rng(function_inverse(esk19_0))))).
##
#cnf(i_0_825, plain, (X1=relation_rng(relation_dom(esk4_1(powerset(X2))))|in(esk3_2(relation_dom(esk4_1(powerset(X2))),X1),relation_dom(relation_dom(esk4_1(powerset(X2)))))|in(esk2_2(relation_dom(esk4_1(powerset(X2))),X1),X1)|~function(relation_dom(esk4_1(powerset(X2))))|~empty(X2))).
######################
#cnf(i_0_843, negated_conjecture, (esk1_3(esk19_0,relation_dom(esk20_0),X1)=apply(esk20_0,X1)|~in(X1,relation_dom(esk20_0)))).
#########
#cnf(i_0_8682, negated_conjecture, (empty(function_inverse(esk20_0))|~one_to_one(esk20_0)|~relation(function_inverse(esk20_0))|~empty(function_inverse(esk19_0)))).
#
#cnf(i_0_10723, negated_conjecture, (~one_to_one(esk20_0)|~relation(function_inverse(esk20_0))|~empty(function_inverse(esk19_0)))).
#
#cnf(i_0_845, negated_conjecture, (esk4_1(powerset(X1))=esk20_0|relation_dom(esk20_0)!=empty_set|~empty(X1))).
##
#cnf(i_0_10741, negated_conjecture, (relation_dom(esk20_0)!=empty_set|~empty(X1))).
#
#cnf(i_0_10759, negated_conjecture, (relation_dom(esk20_0)!=empty_set)).
########
#cnf(i_0_847, negated_conjecture, (function_inverse(X1)=esk20_0|in(esk21_2(function_inverse(X1),esk20_0),relation_rng(X1))|relation_rng(X1)!=relation_dom(esk20_0)|~one_to_one(X1)|~relation(X1)|~function(X1))).
############
#cnf(i_0_10789, negated_conjecture, (in(esk21_2(function_inverse(esk19_0),esk20_0),relation_dom(esk20_0)))).
######
#cnf(i_0_7986, negated_conjecture, (relation_dom(function_inverse(esk19_0))!=relation_dom(esk20_0)|~relation(function_inverse(esk19_0))|~function(function_inverse(esk19_0)))).
#
#cnf(i_0_10839, negated_conjecture, (~relation(function_inverse(esk19_0))|~function(function_inverse(esk19_0)))).
#
#cnf(i_0_10843, negated_conjecture, (~relation(function_inverse(esk19_0)))).

# Proof found!
# SZS status Theorem
# Parsed axioms                        : 37
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 84
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 82
# Processed clauses                    : 3128
# ...of these trivial                  : 4
# ...subsumed                          : 2384
# ...remaining for further processing  : 740
# Other redundant clauses eliminated   : 15
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 46
# Backward-rewritten                   : 26
# Generated clauses                    : 10757
# ...of the previous two non-trivial   : 8904
# Contextual simplify-reflections      : 296
# Paramodulations                      : 10733
# Factorizations                       : 0
# Equation resolutions                 : 29
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 580
#    Positive orientable unit clauses  : 33
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 13
#    Non-unit-clauses                  : 534
# Current number of unprocessed clauses: 5745
# ...number of literals in the above   : 32578
# Current number of archived formulas  : 0
# Current number of archived clauses   : 150
# Clause-clause subsumption calls (NU) : 141628
# Rec. Clause-clause subsumption calls : 62551
# Non-unit clause-clause subsumptions  : 1756
# Unit Clause-clause subsumption calls : 1841
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 8
# BW rewrite match successes           : 8
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 189520