TSTP Solution File: SET764+4 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SET764+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:32:21 EDT 2024
% Result : Theorem 169.52s 169.66s
% Output : Proof 169.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET764+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.04/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Mar 20 22:11:33 EDT 2024
% 0.13/0.34 % CPUTime :
% 169.52/169.66 % SZS status Theorem for theBenchmark
% 169.52/169.66 % SZS output start Proof for theBenchmark
% 169.52/169.66
% 169.52/169.66 % Formula: subset ( axiom ) converted to clauses:
% 169.52/169.66 cnf(subset-1, axiom, ( ~subset(_u6, _u4) | ~member(_u0, _u6) | member(_u0, _u4) )).
% 169.52/169.66 cnf(subset-2, axiom, ( subset(_u7, _u5) | member(skolem1(_u7, _u5), _u7) )).
% 169.52/169.66 cnf(subset-3, axiom, ( subset(_u7, _u5) | ~member(skolem1(_u7, _u5), _u5) )).
% 169.52/169.66
% 169.52/169.66 % Formula: equal_set ( axiom ) converted to clauses:
% 169.52/169.66 cnf(equal_set-1, axiom, ( ~equal_set(_u12, _u10) | subset(_u12, _u10) )).
% 169.52/169.66 cnf(equal_set-2, axiom, ( ~equal_set(_u12, _u10) | subset(_u10, _u12) )).
% 169.52/169.66 cnf(equal_set-3, axiom, ( ~subset(_u13, _u11) | ~subset(_u11, _u13) | equal_set(_u13, _u11) )).
% 169.52/169.66
% 169.52/169.66 % Formula: power_set ( axiom ) converted to clauses:
% 169.52/169.66 cnf(power_set-1, axiom, ( ~member(_u18, power_set(_u16)) | subset(_u18, _u16) )).
% 169.52/169.66 cnf(power_set-2, axiom, ( ~subset(_u19, _u17) | member(_u19, power_set(_u17)) )).
% 169.52/169.66
% 169.52/169.66 % Formula: intersection ( axiom ) converted to clauses:
% 169.52/169.66 cnf(intersection-1, axiom, ( ~member(_u27, intersection(_u25, _u23)) | member(_u27, _u25) )).
% 169.52/169.67 cnf(intersection-2, axiom, ( ~member(_u27, intersection(_u25, _u23)) | member(_u27, _u23) )).
% 169.52/169.67 cnf(intersection-3, axiom, ( ~member(_u28, _u26) | ~member(_u28, _u24) | member(_u28, intersection(_u26, _u24)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: union ( axiom ) converted to clauses:
% 169.52/169.67 cnf(union-1, axiom, ( ~member(_u36, union(_u34, _u32)) | member(_u36, _u34) | member(_u36, _u32) )).
% 169.52/169.67 cnf(union-2, axiom, ( member(_u37, union(_u35, _u33)) | ~member(_u37, _u35) )).
% 169.52/169.67 cnf(union-3, axiom, ( member(_u37, union(_u35, _u33)) | ~member(_u37, _u33) )).
% 169.52/169.67
% 169.52/169.67 % Formula: empty_set ( axiom ) converted to clauses:
% 169.52/169.67 cnf(empty_set-1, axiom, ( ~member(_u38, empty_set) )).
% 169.52/169.67
% 169.52/169.67 % Formula: difference ( axiom ) converted to clauses:
% 169.52/169.67 cnf(difference-1, axiom, ( ~member(_u46, difference(_u42, _u44)) | member(_u46, _u42) )).
% 169.52/169.67 cnf(difference-2, axiom, ( ~member(_u46, difference(_u42, _u44)) | ~member(_u46, _u44) )).
% 169.52/169.67 cnf(difference-3, axiom, ( ~member(_u47, _u43) | member(_u47, _u45) | member(_u47, difference(_u43, _u45)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: singleton ( axiom ) converted to clauses:
% 169.52/169.67 cnf(singleton-1, axiom, ( ~member(_u52, singleton(_u50)) | ( _u52 = _u50) )).
% 169.52/169.67 cnf(singleton-2, axiom, ( ( _u53 != _u51) | member(_u53, singleton(_u51)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: unordered_pair ( axiom ) converted to clauses:
% 169.52/169.67 cnf(unordered_pair-1, axiom, ( ~member(_u61, unordered_pair(_u59, _u57)) | ( _u61 = _u59) | ( _u61 = _u57) )).
% 169.52/169.67 cnf(unordered_pair-2, axiom, ( member(_u62, unordered_pair(_u60, _u58)) | ( _u62 != _u60) )).
% 169.52/169.67 cnf(unordered_pair-3, axiom, ( member(_u62, unordered_pair(_u60, _u58)) | ( _u62 != _u58) )).
% 169.52/169.67
% 169.52/169.67 % Formula: sum ( axiom ) converted to clauses:
% 169.52/169.67 cnf(sum-1, axiom, ( ~member(_u69, sum(_u67)) | member(skolem2(_u69, _u67), _u67) )).
% 169.52/169.67 cnf(sum-2, axiom, ( ~member(_u69, sum(_u67)) | member(_u69, skolem2(_u69, _u67)) )).
% 169.52/169.67 cnf(sum-3, axiom, ( ~member(_u64, _u68) | ~member(_u70, _u64) | member(_u70, sum(_u68)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: product ( axiom ) converted to clauses:
% 169.52/169.67 cnf(product-1, axiom, ( ~member(_u77, product(_u75)) | ~member(_u71, _u75) | member(_u77, _u71) )).
% 169.52/169.67 cnf(product-2, axiom, ( member(_u78, product(_u76)) | member(skolem3(_u78, _u76), _u76) )).
% 169.52/169.67 cnf(product-3, axiom, ( member(_u78, product(_u76)) | ~member(_u78, skolem3(_u78, _u76)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: maps ( axiom ) converted to clauses:
% 169.52/169.67 cnf(maps-1, axiom, ( ~maps(_u96, _u94, _u92) | ~member(_u80, _u94) | member(skolem4(_u96, _u94, _u92, _u80), _u92) )).
% 169.52/169.67 cnf(maps-2, axiom, ( ~maps(_u96, _u94, _u92) | ~member(_u80, _u94) | apply(_u96, _u80, skolem4(_u96, _u94, _u92, _u80)) )).
% 169.52/169.67 cnf(maps-3, axiom, ( ~maps(_u96, _u94, _u92) | ~member(_u83, _u94) | ~member(_u82, _u92) | ~member(_u81, _u92) | ~apply(_u96, _u83, _u82) | ~apply(_u96, _u83, _u81) | ( _u82 = _u81) )).
% 169.52/169.67 cnf(maps-4, axiom, ( maps(_u97, _u95, _u93) | member(skolem5(_u97, _u95, _u93), _u95) | member(skolem6(_u97, _u95, _u93), _u95) )).
% 169.52/169.67 cnf(maps-5, axiom, ( maps(_u97, _u95, _u93) | member(skolem5(_u97, _u95, _u93), _u95) | member(skolem7(_u97, _u95, _u93), _u93) )).
% 169.52/169.67 cnf(maps-6, axiom, ( maps(_u97, _u95, _u93) | member(skolem5(_u97, _u95, _u93), _u95) | member(skolem8(_u97, _u95, _u93), _u93) )).
% 169.52/169.67 cnf(maps-7, axiom, ( maps(_u97, _u95, _u93) | member(skolem5(_u97, _u95, _u93), _u95) | apply(_u97, skolem6(_u97, _u95, _u93), skolem7(_u97, _u95, _u93)) )).
% 169.52/169.67 cnf(maps-8, axiom, ( maps(_u97, _u95, _u93) | member(skolem5(_u97, _u95, _u93), _u95) | apply(_u97, skolem6(_u97, _u95, _u93), skolem8(_u97, _u95, _u93)) )).
% 169.52/169.67 cnf(maps-9, axiom, ( maps(_u97, _u95, _u93) | member(skolem5(_u97, _u95, _u93), _u95) | ( skolem7(_u97, _u95, _u93) != skolem8(_u97, _u95, _u93)) )).
% 169.52/169.67 cnf(maps-10, axiom, ( maps(_u97, _u95, _u93) | ~member(_u84, _u93) | ~apply(_u97, skolem5(_u97, _u95, _u93), _u84) | member(skolem6(_u97, _u95, _u93), _u95) )).
% 169.52/169.67 cnf(maps-11, axiom, ( maps(_u97, _u95, _u93) | ~member(_u84, _u93) | ~apply(_u97, skolem5(_u97, _u95, _u93), _u84) | member(skolem7(_u97, _u95, _u93), _u93) )).
% 169.52/169.67 cnf(maps-12, axiom, ( maps(_u97, _u95, _u93) | ~member(_u84, _u93) | ~apply(_u97, skolem5(_u97, _u95, _u93), _u84) | member(skolem8(_u97, _u95, _u93), _u93) )).
% 169.52/169.67 cnf(maps-13, axiom, ( maps(_u97, _u95, _u93) | ~member(_u84, _u93) | ~apply(_u97, skolem5(_u97, _u95, _u93), _u84) | apply(_u97, skolem6(_u97, _u95, _u93), skolem7(_u97, _u95, _u93)) )).
% 169.52/169.67 cnf(maps-14, axiom, ( maps(_u97, _u95, _u93) | ~member(_u84, _u93) | ~apply(_u97, skolem5(_u97, _u95, _u93), _u84) | apply(_u97, skolem6(_u97, _u95, _u93), skolem8(_u97, _u95, _u93)) )).
% 169.52/169.67 cnf(maps-15, axiom, ( maps(_u97, _u95, _u93) | ~member(_u84, _u93) | ~apply(_u97, skolem5(_u97, _u95, _u93), _u84) | ( skolem7(_u97, _u95, _u93) != skolem8(_u97, _u95, _u93)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: compose_predicate ( axiom ) converted to clauses:
% 169.52/169.67 cnf(compose_predicate-1, axiom, ( ~compose_predicate(_u122, _u120, _u118, _u116, _u114, _u112) | ~member(_u101, _u116) | ~member(_u100, _u112) | ~apply(_u122, _u101, _u100) | member(skolem9(_u122, _u120, _u118, _u116, _u114, _u112, _u101, _u100), _u114) )).
% 169.52/169.67 cnf(compose_predicate-2, axiom, ( ~compose_predicate(_u122, _u120, _u118, _u116, _u114, _u112) | ~member(_u101, _u116) | ~member(_u100, _u112) | ~apply(_u122, _u101, _u100) | apply(_u118, _u101, skolem9(_u122, _u120, _u118, _u116, _u114, _u112, _u101, _u100)) )).
% 169.52/169.67 cnf(compose_predicate-3, axiom, ( ~compose_predicate(_u122, _u120, _u118, _u116, _u114, _u112) | ~member(_u101, _u116) | ~member(_u100, _u112) | ~apply(_u122, _u101, _u100) | apply(_u120, skolem9(_u122, _u120, _u118, _u116, _u114, _u112, _u101, _u100), _u100) )).
% 169.52/169.67 cnf(compose_predicate-4, axiom, ( ~compose_predicate(_u122, _u120, _u118, _u116, _u114, _u112) | ~member(_u101, _u116) | ~member(_u100, _u112) | ~member(_u99, _u114) | ~apply(_u118, _u101, _u99) | ~apply(_u120, _u99, _u100) | apply(_u122, _u101, _u100) )).
% 169.52/169.67 cnf(compose_predicate-5, axiom, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | member(skolem10(_u123, _u121, _u119, _u117, _u115, _u113), _u117) )).
% 169.52/169.67 cnf(compose_predicate-6, axiom, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | member(skolem11(_u123, _u121, _u119, _u117, _u115, _u113), _u113) )).
% 169.52/169.67 cnf(compose_predicate-7, axiom, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | apply(_u123, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) | member(skolem12(_u123, _u121, _u119, _u117, _u115, _u113), _u115) )).
% 169.52/169.67 cnf(compose_predicate-8, axiom, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | apply(_u123, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) | apply(_u119, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), skolem12(_u123, _u121, _u119, _u117, _u115, _u113)) )).
% 169.52/169.67 cnf(compose_predicate-9, axiom, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | apply(_u123, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) | apply(_u121, skolem12(_u123, _u121, _u119, _u117, _u115, _u113), skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) )).
% 169.52/169.67 cnf(compose_predicate-10, axiom, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | ~member(_u102, _u115) | ~apply(_u119, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), _u102) | ~apply(_u121, _u102, skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) | member(skolem12(_u123, _u121, _u119, _u117, _u115, _u113), _u115) )).
% 169.52/169.67 cnf(compose_predicate-11, axiom, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | ~member(_u102, _u115) | ~apply(_u119, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), _u102) | ~apply(_u121, _u102, skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) | apply(_u119, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), skolem12(_u123, _u121, _u119, _u117, _u115, _u113)) )).
% 169.52/169.67 cnf(compose_predicate-12, axiom, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | ~member(_u102, _u115) | ~apply(_u119, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), _u102) | ~apply(_u121, _u102, skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) | apply(_u121, skolem12(_u123, _u121, _u119, _u117, _u115, _u113), skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) )).
% 169.52/169.67 cnf(compose_predicate-13, axiom, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | ~member(_u102, _u115) | ~apply(_u119, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), _u102) | ~apply(_u121, _u102, skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) | ~apply(_u123, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: compose_function ( axiom ) converted to clauses:
% 169.52/169.67 cnf(compose_function-1, axiom, ( ~member(_u127, _u130) | ~member(_u126, _u128) | ~apply(compose_function(_u132, _u131, _u130, _u129, _u128), _u127, _u126) | member(skolem13(_u132, _u131, _u130, _u129, _u128, _u127, _u126), _u129) )).
% 169.52/169.67 cnf(compose_function-2, axiom, ( ~member(_u127, _u130) | ~member(_u126, _u128) | ~apply(compose_function(_u132, _u131, _u130, _u129, _u128), _u127, _u126) | apply(_u131, _u127, skolem13(_u132, _u131, _u130, _u129, _u128, _u127, _u126)) )).
% 169.52/169.67 cnf(compose_function-3, axiom, ( ~member(_u127, _u130) | ~member(_u126, _u128) | ~apply(compose_function(_u132, _u131, _u130, _u129, _u128), _u127, _u126) | apply(_u132, skolem13(_u132, _u131, _u130, _u129, _u128, _u127, _u126), _u126) )).
% 169.52/169.67 cnf(compose_function-4, axiom, ( ~member(_u127, _u130) | ~member(_u126, _u128) | ~member(_u125, _u129) | ~apply(_u131, _u127, _u125) | ~apply(_u132, _u125, _u126) | apply(compose_function(_u132, _u131, _u130, _u129, _u128), _u127, _u126) )).
% 169.52/169.67
% 169.52/169.67 % Formula: equal_maps ( axiom ) converted to clauses:
% 169.52/169.67 cnf(equal_maps-1, axiom, ( ~equal_maps(_u149, _u147, _u145, _u143) | ~member(_u135, _u145) | ~member(_u134, _u143) | ~member(_u133, _u143) | ~apply(_u149, _u135, _u134) | ~apply(_u147, _u135, _u133) | ( _u134 = _u133) )).
% 169.52/169.67 cnf(equal_maps-2, axiom, ( equal_maps(_u150, _u148, _u146, _u144) | member(skolem14(_u150, _u148, _u146, _u144), _u146) )).
% 169.52/169.67 cnf(equal_maps-3, axiom, ( equal_maps(_u150, _u148, _u146, _u144) | member(skolem15(_u150, _u148, _u146, _u144), _u144) )).
% 169.52/169.67 cnf(equal_maps-4, axiom, ( equal_maps(_u150, _u148, _u146, _u144) | member(skolem16(_u150, _u148, _u146, _u144), _u144) )).
% 169.52/169.67 cnf(equal_maps-5, axiom, ( equal_maps(_u150, _u148, _u146, _u144) | apply(_u150, skolem14(_u150, _u148, _u146, _u144), skolem15(_u150, _u148, _u146, _u144)) )).
% 169.52/169.67 cnf(equal_maps-6, axiom, ( equal_maps(_u150, _u148, _u146, _u144) | apply(_u148, skolem14(_u150, _u148, _u146, _u144), skolem16(_u150, _u148, _u146, _u144)) )).
% 169.52/169.67 cnf(equal_maps-7, axiom, ( equal_maps(_u150, _u148, _u146, _u144) | ( skolem15(_u150, _u148, _u146, _u144) != skolem16(_u150, _u148, _u146, _u144)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: identity ( axiom ) converted to clauses:
% 169.52/169.67 cnf(identity-1, axiom, ( ~identity(_u157, _u155) | ~member(_u151, _u155) | apply(_u157, _u151, _u151) )).
% 169.52/169.67 cnf(identity-2, axiom, ( identity(_u158, _u156) | member(skolem17(_u158, _u156), _u156) )).
% 169.52/169.67 cnf(identity-3, axiom, ( identity(_u158, _u156) | ~apply(_u158, skolem17(_u158, _u156), skolem17(_u158, _u156)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: injective ( axiom ) converted to clauses:
% 169.52/169.67 cnf(injective-1, axiom, ( ~injective(_u172, _u170, _u168) | ~member(_u161, _u170) | ~member(_u160, _u170) | ~member(_u159, _u168) | ~apply(_u172, _u161, _u159) | ~apply(_u172, _u160, _u159) | ( _u161 = _u160) )).
% 169.52/169.67 cnf(injective-2, axiom, ( injective(_u173, _u171, _u169) | member(skolem18(_u173, _u171, _u169), _u171) )).
% 169.52/169.67 cnf(injective-3, axiom, ( injective(_u173, _u171, _u169) | member(skolem19(_u173, _u171, _u169), _u171) )).
% 169.52/169.67 cnf(injective-4, axiom, ( injective(_u173, _u171, _u169) | member(skolem20(_u173, _u171, _u169), _u169) )).
% 169.52/169.67 cnf(injective-5, axiom, ( injective(_u173, _u171, _u169) | apply(_u173, skolem18(_u173, _u171, _u169), skolem20(_u173, _u171, _u169)) )).
% 169.52/169.67 cnf(injective-6, axiom, ( injective(_u173, _u171, _u169) | apply(_u173, skolem19(_u173, _u171, _u169), skolem20(_u173, _u171, _u169)) )).
% 169.52/169.67 cnf(injective-7, axiom, ( injective(_u173, _u171, _u169) | ( skolem18(_u173, _u171, _u169) != skolem19(_u173, _u171, _u169)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: surjective ( axiom ) converted to clauses:
% 169.52/169.67 cnf(surjective-1, axiom, ( ~surjective(_u185, _u183, _u181) | ~member(_u175, _u181) | member(skolem21(_u185, _u183, _u181, _u175), _u183) )).
% 169.52/169.67 cnf(surjective-2, axiom, ( ~surjective(_u185, _u183, _u181) | ~member(_u175, _u181) | apply(_u185, skolem21(_u185, _u183, _u181, _u175), _u175) )).
% 169.52/169.67 cnf(surjective-3, axiom, ( surjective(_u186, _u184, _u182) | member(skolem22(_u186, _u184, _u182), _u182) )).
% 169.52/169.67 cnf(surjective-4, axiom, ( surjective(_u186, _u184, _u182) | ~member(_u176, _u184) | ~apply(_u186, _u176, skolem22(_u186, _u184, _u182)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: one_to_one ( axiom ) converted to clauses:
% 169.52/169.67 cnf(one_to_one-1, axiom, ( ~one_to_one(_u194, _u192, _u190) | injective(_u194, _u192, _u190) )).
% 169.52/169.67 cnf(one_to_one-2, axiom, ( ~one_to_one(_u194, _u192, _u190) | surjective(_u194, _u192, _u190) )).
% 169.52/169.67 cnf(one_to_one-3, axiom, ( ~injective(_u195, _u193, _u191) | ~surjective(_u195, _u193, _u191) | one_to_one(_u195, _u193, _u191) )).
% 169.52/169.67
% 169.52/169.67 % Formula: inverse_predicate ( axiom ) converted to clauses:
% 169.52/169.67 cnf(inverse_predicate-1, axiom, ( ~inverse_predicate(_u210, _u208, _u206, _u204) | ~member(_u197, _u206) | ~member(_u196, _u204) | ~apply(_u208, _u197, _u196) | apply(_u210, _u196, _u197) )).
% 169.52/169.67 cnf(inverse_predicate-2, axiom, ( ~inverse_predicate(_u210, _u208, _u206, _u204) | ~member(_u197, _u206) | ~member(_u196, _u204) | ~apply(_u210, _u196, _u197) | apply(_u208, _u197, _u196) )).
% 169.52/169.67 cnf(inverse_predicate-3, axiom, ( inverse_predicate(_u211, _u209, _u207, _u205) | member(skolem23(_u211, _u209, _u207, _u205), _u207) )).
% 169.52/169.67 cnf(inverse_predicate-4, axiom, ( inverse_predicate(_u211, _u209, _u207, _u205) | member(skolem24(_u211, _u209, _u207, _u205), _u205) )).
% 169.52/169.67 cnf(inverse_predicate-5, axiom, ( inverse_predicate(_u211, _u209, _u207, _u205) | apply(_u209, skolem23(_u211, _u209, _u207, _u205), skolem24(_u211, _u209, _u207, _u205)) | apply(_u211, skolem24(_u211, _u209, _u207, _u205), skolem23(_u211, _u209, _u207, _u205)) )).
% 169.52/169.67 cnf(inverse_predicate-6, axiom, ( inverse_predicate(_u211, _u209, _u207, _u205) | ~apply(_u211, skolem24(_u211, _u209, _u207, _u205), skolem23(_u211, _u209, _u207, _u205)) | ~apply(_u209, skolem23(_u211, _u209, _u207, _u205), skolem24(_u211, _u209, _u207, _u205)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: inverse_function ( axiom ) converted to clauses:
% 169.52/169.67 cnf(inverse_function-1, axiom, ( ~member(_u213, _u215) | ~member(_u212, _u214) | ~apply(_u216, _u213, _u212) | apply(inverse_function(_u216, _u215, _u214), _u212, _u213) )).
% 169.52/169.67 cnf(inverse_function-2, axiom, ( ~member(_u213, _u215) | ~member(_u212, _u214) | ~apply(inverse_function(_u216, _u215, _u214), _u212, _u213) | apply(_u216, _u213, _u212) )).
% 169.52/169.67
% 169.52/169.67 % Formula: image2 ( axiom ) converted to clauses:
% 169.52/169.67 cnf(image2-1, axiom, ( ~member(_u222, image2(_u226, _u224)) | member(skolem25(_u226, _u224, _u222), _u224) )).
% 169.52/169.67 cnf(image2-2, axiom, ( ~member(_u222, image2(_u226, _u224)) | apply(_u226, skolem25(_u226, _u224, _u222), _u222) )).
% 169.52/169.67 cnf(image2-3, axiom, ( ~member(_u218, _u225) | ~apply(_u227, _u218, _u223) | member(_u223, image2(_u227, _u225)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: image3 ( axiom ) converted to clauses:
% 169.52/169.67 cnf(image3-1, axiom, ( ~member(_u234, image3(_u240, _u238, _u236)) | member(_u234, _u236) )).
% 169.52/169.67 cnf(image3-2, axiom, ( ~member(_u234, image3(_u240, _u238, _u236)) | member(skolem26(_u240, _u238, _u236, _u234), _u238) )).
% 169.52/169.67 cnf(image3-3, axiom, ( ~member(_u234, image3(_u240, _u238, _u236)) | apply(_u240, skolem26(_u240, _u238, _u236, _u234), _u234) )).
% 169.52/169.67 cnf(image3-4, axiom, ( ~member(_u235, _u237) | ~member(_u229, _u239) | ~apply(_u241, _u229, _u235) | member(_u235, image3(_u241, _u239, _u237)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: inverse_image2 ( axiom ) converted to clauses:
% 169.52/169.67 cnf(inverse_image2-1, axiom, ( ~member(_u247, inverse_image2(_u251, _u249)) | member(skolem27(_u251, _u249, _u247), _u249) )).
% 169.52/169.67 cnf(inverse_image2-2, axiom, ( ~member(_u247, inverse_image2(_u251, _u249)) | apply(_u251, _u247, skolem27(_u251, _u249, _u247)) )).
% 169.52/169.67 cnf(inverse_image2-3, axiom, ( ~member(_u243, _u250) | ~apply(_u252, _u248, _u243) | member(_u248, inverse_image2(_u252, _u250)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: inverse_image3 ( axiom ) converted to clauses:
% 169.52/169.67 cnf(inverse_image3-1, axiom, ( ~member(_u259, inverse_image3(_u265, _u263, _u261)) | member(_u259, _u261) )).
% 169.52/169.67 cnf(inverse_image3-2, axiom, ( ~member(_u259, inverse_image3(_u265, _u263, _u261)) | member(skolem28(_u265, _u263, _u261, _u259), _u263) )).
% 169.52/169.67 cnf(inverse_image3-3, axiom, ( ~member(_u259, inverse_image3(_u265, _u263, _u261)) | apply(_u265, _u259, skolem28(_u265, _u263, _u261, _u259)) )).
% 169.52/169.67 cnf(inverse_image3-4, axiom, ( ~member(_u260, _u262) | ~member(_u254, _u264) | ~apply(_u266, _u260, _u254) | member(_u260, inverse_image3(_u266, _u264, _u262)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: increasing_function ( axiom ) converted to clauses:
% 169.52/169.67 cnf(increasing_function-1, axiom, ( ~increasing(_u288, _u286, _u284, _u282, _u280) | ~member(_u270, _u286) | ~member(_u269, _u282) | ~member(_u268, _u286) | ~member(_u267, _u282) | ~apply(_u284, _u270, _u268) | ~apply(_u288, _u270, _u269) | ~apply(_u288, _u268, _u267) | apply(_u280, _u269, _u267) )).
% 169.52/169.67 cnf(increasing_function-2, axiom, ( increasing(_u289, _u287, _u285, _u283, _u281) | member(skolem29(_u289, _u287, _u285, _u283, _u281), _u287) )).
% 169.52/169.67 cnf(increasing_function-3, axiom, ( increasing(_u289, _u287, _u285, _u283, _u281) | member(skolem30(_u289, _u287, _u285, _u283, _u281), _u283) )).
% 169.52/169.67 cnf(increasing_function-4, axiom, ( increasing(_u289, _u287, _u285, _u283, _u281) | member(skolem31(_u289, _u287, _u285, _u283, _u281), _u287) )).
% 169.52/169.67 cnf(increasing_function-5, axiom, ( increasing(_u289, _u287, _u285, _u283, _u281) | member(skolem32(_u289, _u287, _u285, _u283, _u281), _u283) )).
% 169.52/169.67 cnf(increasing_function-6, axiom, ( increasing(_u289, _u287, _u285, _u283, _u281) | apply(_u285, skolem29(_u289, _u287, _u285, _u283, _u281), skolem31(_u289, _u287, _u285, _u283, _u281)) )).
% 169.52/169.67 cnf(increasing_function-7, axiom, ( increasing(_u289, _u287, _u285, _u283, _u281) | apply(_u289, skolem29(_u289, _u287, _u285, _u283, _u281), skolem30(_u289, _u287, _u285, _u283, _u281)) )).
% 169.52/169.67 cnf(increasing_function-8, axiom, ( increasing(_u289, _u287, _u285, _u283, _u281) | apply(_u289, skolem31(_u289, _u287, _u285, _u283, _u281), skolem32(_u289, _u287, _u285, _u283, _u281)) )).
% 169.52/169.67 cnf(increasing_function-9, axiom, ( increasing(_u289, _u287, _u285, _u283, _u281) | ~apply(_u281, skolem30(_u289, _u287, _u285, _u283, _u281), skolem32(_u289, _u287, _u285, _u283, _u281)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: decreasing_function ( axiom ) converted to clauses:
% 169.52/169.67 cnf(decreasing_function-1, axiom, ( ~decreasing(_u311, _u309, _u307, _u305, _u303) | ~member(_u293, _u309) | ~member(_u292, _u305) | ~member(_u291, _u309) | ~member(_u290, _u305) | ~apply(_u307, _u293, _u291) | ~apply(_u311, _u293, _u292) | ~apply(_u311, _u291, _u290) | apply(_u303, _u290, _u292) )).
% 169.52/169.67 cnf(decreasing_function-2, axiom, ( decreasing(_u312, _u310, _u308, _u306, _u304) | member(skolem33(_u312, _u310, _u308, _u306, _u304), _u310) )).
% 169.52/169.67 cnf(decreasing_function-3, axiom, ( decreasing(_u312, _u310, _u308, _u306, _u304) | member(skolem34(_u312, _u310, _u308, _u306, _u304), _u306) )).
% 169.52/169.67 cnf(decreasing_function-4, axiom, ( decreasing(_u312, _u310, _u308, _u306, _u304) | member(skolem35(_u312, _u310, _u308, _u306, _u304), _u310) )).
% 169.52/169.67 cnf(decreasing_function-5, axiom, ( decreasing(_u312, _u310, _u308, _u306, _u304) | member(skolem36(_u312, _u310, _u308, _u306, _u304), _u306) )).
% 169.52/169.67 cnf(decreasing_function-6, axiom, ( decreasing(_u312, _u310, _u308, _u306, _u304) | apply(_u308, skolem33(_u312, _u310, _u308, _u306, _u304), skolem35(_u312, _u310, _u308, _u306, _u304)) )).
% 169.52/169.67 cnf(decreasing_function-7, axiom, ( decreasing(_u312, _u310, _u308, _u306, _u304) | apply(_u312, skolem33(_u312, _u310, _u308, _u306, _u304), skolem34(_u312, _u310, _u308, _u306, _u304)) )).
% 169.52/169.67 cnf(decreasing_function-8, axiom, ( decreasing(_u312, _u310, _u308, _u306, _u304) | apply(_u312, skolem35(_u312, _u310, _u308, _u306, _u304), skolem36(_u312, _u310, _u308, _u306, _u304)) )).
% 169.52/169.67 cnf(decreasing_function-9, axiom, ( decreasing(_u312, _u310, _u308, _u306, _u304) | ~apply(_u304, skolem36(_u312, _u310, _u308, _u306, _u304), skolem34(_u312, _u310, _u308, _u306, _u304)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: isomorphism ( axiom ) converted to clauses:
% 169.52/169.67 cnf(isomorphism-1, axiom, ( ~isomorphism(_u334, _u332, _u330, _u328, _u326) | maps(_u334, _u332, _u328) )).
% 169.52/169.67 cnf(isomorphism-2, axiom, ( ~isomorphism(_u334, _u332, _u330, _u328, _u326) | one_to_one(_u334, _u332, _u328) )).
% 169.52/169.67 cnf(isomorphism-3, axiom, ( ~isomorphism(_u334, _u332, _u330, _u328, _u326) | ~member(_u316, _u332) | ~member(_u315, _u328) | ~member(_u314, _u332) | ~member(_u313, _u328) | ~apply(_u334, _u316, _u315) | ~apply(_u334, _u314, _u313) | ~apply(_u330, _u316, _u314) | apply(_u326, _u315, _u313) )).
% 169.52/169.67 cnf(isomorphism-4, axiom, ( ~isomorphism(_u334, _u332, _u330, _u328, _u326) | ~member(_u316, _u332) | ~member(_u315, _u328) | ~member(_u314, _u332) | ~member(_u313, _u328) | ~apply(_u334, _u316, _u315) | ~apply(_u334, _u314, _u313) | ~apply(_u326, _u315, _u313) | apply(_u330, _u316, _u314) )).
% 169.52/169.67 cnf(isomorphism-5, axiom, ( isomorphism(_u335, _u333, _u331, _u329, _u327) | ~maps(_u335, _u333, _u329) | ~one_to_one(_u335, _u333, _u329) | member(skolem37(_u335, _u333, _u331, _u329, _u327), _u333) )).
% 169.52/169.67 cnf(isomorphism-6, axiom, ( isomorphism(_u335, _u333, _u331, _u329, _u327) | ~maps(_u335, _u333, _u329) | ~one_to_one(_u335, _u333, _u329) | member(skolem38(_u335, _u333, _u331, _u329, _u327), _u329) )).
% 169.52/169.67 cnf(isomorphism-7, axiom, ( isomorphism(_u335, _u333, _u331, _u329, _u327) | ~maps(_u335, _u333, _u329) | ~one_to_one(_u335, _u333, _u329) | member(skolem39(_u335, _u333, _u331, _u329, _u327), _u333) )).
% 169.52/169.67 cnf(isomorphism-8, axiom, ( isomorphism(_u335, _u333, _u331, _u329, _u327) | ~maps(_u335, _u333, _u329) | ~one_to_one(_u335, _u333, _u329) | member(skolem40(_u335, _u333, _u331, _u329, _u327), _u329) )).
% 169.52/169.67 cnf(isomorphism-9, axiom, ( isomorphism(_u335, _u333, _u331, _u329, _u327) | ~maps(_u335, _u333, _u329) | ~one_to_one(_u335, _u333, _u329) | apply(_u335, skolem37(_u335, _u333, _u331, _u329, _u327), skolem38(_u335, _u333, _u331, _u329, _u327)) )).
% 169.52/169.67 cnf(isomorphism-10, axiom, ( isomorphism(_u335, _u333, _u331, _u329, _u327) | ~maps(_u335, _u333, _u329) | ~one_to_one(_u335, _u333, _u329) | apply(_u335, skolem39(_u335, _u333, _u331, _u329, _u327), skolem40(_u335, _u333, _u331, _u329, _u327)) )).
% 169.52/169.67 cnf(isomorphism-11, axiom, ( isomorphism(_u335, _u333, _u331, _u329, _u327) | ~maps(_u335, _u333, _u329) | ~one_to_one(_u335, _u333, _u329) | apply(_u331, skolem37(_u335, _u333, _u331, _u329, _u327), skolem39(_u335, _u333, _u331, _u329, _u327)) | apply(_u327, skolem38(_u335, _u333, _u331, _u329, _u327), skolem40(_u335, _u333, _u331, _u329, _u327)) )).
% 169.52/169.67 cnf(isomorphism-12, axiom, ( isomorphism(_u335, _u333, _u331, _u329, _u327) | ~maps(_u335, _u333, _u329) | ~one_to_one(_u335, _u333, _u329) | ~apply(_u327, skolem38(_u335, _u333, _u331, _u329, _u327), skolem40(_u335, _u333, _u331, _u329, _u327)) | ~apply(_u331, skolem37(_u335, _u333, _u331, _u329, _u327), skolem39(_u335, _u333, _u331, _u329, _u327)) )).
% 169.52/169.67
% 169.52/169.67 % Formula: thIIa14 ( conjecture ) (definitionally) converted to clauses:
% 169.52/169.67 cnf(thIIa14-1, negated_conjecture, ( maps(skolem41, skolem42, skolem43) )).
% 169.52/169.67 cnf(thIIa14-2, negated_conjecture, ( ~equal_set(inverse_image2(skolem41, empty_set), empty_set) )).
% 169.52/169.67
% 169.52/169.67 % Problem matrix:
% 169.52/169.67 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 169.52/169.67 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 169.52/169.67 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 169.52/169.67 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( power_set(__eqx_0) = power_set(__eqy_0)) )).
% 169.52/169.67 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( intersection(__eqx_0, __eqx_1) = intersection(__eqy_0, __eqy_1)) )).
% 169.52/169.67 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( union(__eqx_0, __eqx_1) = union(__eqy_0, __eqy_1)) )).
% 169.52/169.67 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( difference(__eqx_0, __eqx_1) = difference(__eqy_0, __eqy_1)) )).
% 169.52/169.67 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 169.52/169.67 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( unordered_pair(__eqx_0, __eqx_1) = unordered_pair(__eqy_0, __eqy_1)) )).
% 169.52/169.67 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( sum(__eqx_0) = sum(__eqy_0)) )).
% 169.52/169.67 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( product(__eqx_0) = product(__eqy_0)) )).
% 169.52/169.67 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( compose_function(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = compose_function(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 169.52/169.67 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( inverse_function(__eqx_0, __eqx_1, __eqx_2) = inverse_function(__eqy_0, __eqy_1, __eqy_2)) )).
% 169.52/169.67 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( image2(__eqx_0, __eqx_1) = image2(__eqy_0, __eqy_1)) )).
% 169.52/169.67 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( image3(__eqx_0, __eqx_1, __eqx_2) = image3(__eqy_0, __eqy_1, __eqy_2)) )).
% 169.52/169.67 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( inverse_image2(__eqx_0, __eqx_1) = inverse_image2(__eqy_0, __eqy_1)) )).
% 169.52/169.67 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( inverse_image3(__eqx_0, __eqx_1, __eqx_2) = inverse_image3(__eqy_0, __eqy_1, __eqy_2)) )).
% 169.52/169.67 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 169.52/169.67 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 169.52/169.67 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 169.52/169.67 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem4(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem4(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 169.52/169.67 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem5(__eqx_0, __eqx_1, __eqx_2) = skolem5(__eqy_0, __eqy_1, __eqy_2)) )).
% 169.52/169.67 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem6(__eqx_0, __eqx_1, __eqx_2) = skolem6(__eqy_0, __eqy_1, __eqy_2)) )).
% 169.52/169.67 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem7(__eqx_0, __eqx_1, __eqx_2) = skolem7(__eqy_0, __eqy_1, __eqy_2)) )).
% 169.52/169.67 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem8(__eqx_0, __eqx_1, __eqx_2) = skolem8(__eqy_0, __eqy_1, __eqy_2)) )).
% 169.52/169.67 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem9(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem9(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 169.52/169.67 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem10(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem10(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 169.52/169.67 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem11(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem11(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 169.52/169.67 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem12(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem12(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 169.52/169.67 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem13(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem13(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 169.52/169.67 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem14(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem14(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 169.52/169.67 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem15(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem15(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 169.52/169.67 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem16(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem16(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 169.52/169.67 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem17(__eqx_0, __eqx_1) = skolem17(__eqy_0, __eqy_1)) )).
% 169.52/169.67 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem18(__eqx_0, __eqx_1, __eqx_2) = skolem18(__eqy_0, __eqy_1, __eqy_2)) )).
% 169.52/169.67 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem19(__eqx_0, __eqx_1, __eqx_2) = skolem19(__eqy_0, __eqy_1, __eqy_2)) )).
% 169.52/169.67 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem20(__eqx_0, __eqx_1, __eqx_2) = skolem20(__eqy_0, __eqy_1, __eqy_2)) )).
% 169.52/169.67 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem21(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem21(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 169.52/169.67 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem22(__eqx_0, __eqx_1, __eqx_2) = skolem22(__eqy_0, __eqy_1, __eqy_2)) )).
% 169.52/169.67 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem23(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem23(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 169.52/169.67 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem24(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem24(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 169.52/169.67 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem25(__eqx_0, __eqx_1, __eqx_2) = skolem25(__eqy_0, __eqy_1, __eqy_2)) )).
% 169.52/169.67 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem26(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem26(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 169.52/169.67 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem27(__eqx_0, __eqx_1, __eqx_2) = skolem27(__eqy_0, __eqy_1, __eqy_2)) )).
% 169.52/169.67 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem28(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem28(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 169.52/169.67 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem29(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem29(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 169.52/169.67 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem30(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem30(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 169.52/169.67 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem31(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem31(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 169.52/169.67 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem32(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem32(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 169.52/169.67 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem33(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem33(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 169.52/169.67 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem34(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem34(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 169.52/169.67 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem35(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem35(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 169.52/169.67 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem36(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem36(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 169.52/169.67 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem37(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem37(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 169.52/169.67 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem38(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem38(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 169.52/169.67 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem39(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem39(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 169.52/169.67 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem40(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem40(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 169.52/169.67 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 169.52/169.67 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 169.52/169.67 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~equal_set(__eqx_0, __eqx_1) | equal_set(__eqy_0, __eqy_1) )).
% 169.52/169.67 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~maps(__eqx_0, __eqx_1, __eqx_2) | maps(__eqy_0, __eqy_1, __eqy_2) )).
% 169.52/169.67 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~apply(__eqx_0, __eqx_1, __eqx_2) | apply(__eqy_0, __eqy_1, __eqy_2) )).
% 169.52/169.67 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~compose_predicate(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | compose_predicate(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 169.52/169.67 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~equal_maps(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | equal_maps(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 169.52/169.67 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~identity(__eqx_0, __eqx_1) | identity(__eqy_0, __eqy_1) )).
% 169.52/169.67 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~injective(__eqx_0, __eqx_1, __eqx_2) | injective(__eqy_0, __eqy_1, __eqy_2) )).
% 169.52/169.67 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~surjective(__eqx_0, __eqx_1, __eqx_2) | surjective(__eqy_0, __eqy_1, __eqy_2) )).
% 169.52/169.67 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~one_to_one(__eqx_0, __eqx_1, __eqx_2) | one_to_one(__eqy_0, __eqy_1, __eqy_2) )).
% 169.52/169.67 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~inverse_predicate(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | inverse_predicate(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 169.52/169.67 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~increasing(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | increasing(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 169.52/169.67 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~decreasing(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | decreasing(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 169.52/169.67 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~isomorphism(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | isomorphism(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 169.52/169.67 cnf(matrix-72, plain, ( ~subset(_u6, _u4) | ~member(_u0, _u6) | member(_u0, _u4) )).
% 169.52/169.67 cnf(matrix-73, plain, ( subset(_u7, _u5) | member(skolem1(_u7, _u5), _u7) )).
% 169.52/169.67 cnf(matrix-74, plain, ( subset(_u7, _u5) | ~member(skolem1(_u7, _u5), _u5) )).
% 169.52/169.67 cnf(matrix-75, plain, ( ~equal_set(_u12, _u10) | subset(_u12, _u10) )).
% 169.52/169.67 cnf(matrix-76, plain, ( ~equal_set(_u12, _u10) | subset(_u10, _u12) )).
% 169.52/169.67 cnf(matrix-77, plain, ( ~subset(_u13, _u11) | ~subset(_u11, _u13) | equal_set(_u13, _u11) )).
% 169.52/169.67 cnf(matrix-78, plain, ( ~member(_u18, power_set(_u16)) | subset(_u18, _u16) )).
% 169.52/169.67 cnf(matrix-79, plain, ( ~subset(_u19, _u17) | member(_u19, power_set(_u17)) )).
% 169.52/169.67 cnf(matrix-80, plain, ( ~member(_u27, intersection(_u25, _u23)) | member(_u27, _u25) )).
% 169.52/169.67 cnf(matrix-81, plain, ( ~member(_u27, intersection(_u25, _u23)) | member(_u27, _u23) )).
% 169.52/169.67 cnf(matrix-82, plain, ( ~member(_u28, _u26) | ~member(_u28, _u24) | member(_u28, intersection(_u26, _u24)) )).
% 169.52/169.67 cnf(matrix-83, plain, ( ~member(_u36, union(_u34, _u32)) | member(_u36, _u34) | member(_u36, _u32) )).
% 169.52/169.67 cnf(matrix-84, plain, ( member(_u37, union(_u35, _u33)) | ~member(_u37, _u35) )).
% 169.52/169.67 cnf(matrix-85, plain, ( member(_u37, union(_u35, _u33)) | ~member(_u37, _u33) )).
% 169.52/169.67 cnf(matrix-86, plain, ( ~member(_u38, empty_set) )).
% 169.52/169.67 cnf(matrix-87, plain, ( ~member(_u46, difference(_u42, _u44)) | member(_u46, _u42) )).
% 169.52/169.67 cnf(matrix-88, plain, ( ~member(_u46, difference(_u42, _u44)) | ~member(_u46, _u44) )).
% 169.52/169.67 cnf(matrix-89, plain, ( ~member(_u47, _u43) | member(_u47, _u45) | member(_u47, difference(_u43, _u45)) )).
% 169.52/169.67 cnf(matrix-90, plain, ( ~member(_u52, singleton(_u50)) | ( _u52 = _u50) )).
% 169.52/169.67 cnf(matrix-91, plain, ( ( _u53 != _u51) | member(_u53, singleton(_u51)) )).
% 169.52/169.67 cnf(matrix-92, plain, ( ~member(_u61, unordered_pair(_u59, _u57)) | ( _u61 = _u59) | ( _u61 = _u57) )).
% 169.52/169.67 cnf(matrix-93, plain, ( member(_u62, unordered_pair(_u60, _u58)) | ( _u62 != _u60) )).
% 169.52/169.67 cnf(matrix-94, plain, ( member(_u62, unordered_pair(_u60, _u58)) | ( _u62 != _u58) )).
% 169.52/169.67 cnf(matrix-95, plain, ( ~member(_u69, sum(_u67)) | member(skolem2(_u69, _u67), _u67) )).
% 169.52/169.67 cnf(matrix-96, plain, ( ~member(_u69, sum(_u67)) | member(_u69, skolem2(_u69, _u67)) )).
% 169.52/169.67 cnf(matrix-97, plain, ( ~member(_u64, _u68) | ~member(_u70, _u64) | member(_u70, sum(_u68)) )).
% 169.52/169.67 cnf(matrix-98, plain, ( ~member(_u77, product(_u75)) | ~member(_u71, _u75) | member(_u77, _u71) )).
% 169.52/169.67 cnf(matrix-99, plain, ( member(_u78, product(_u76)) | member(skolem3(_u78, _u76), _u76) )).
% 169.52/169.67 cnf(matrix-100, plain, ( member(_u78, product(_u76)) | ~member(_u78, skolem3(_u78, _u76)) )).
% 169.52/169.67 cnf(matrix-101, plain, ( ~maps(_u96, _u94, _u92) | ~member(_u80, _u94) | member(skolem4(_u96, _u94, _u92, _u80), _u92) )).
% 169.52/169.67 cnf(matrix-102, plain, ( ~maps(_u96, _u94, _u92) | ~member(_u80, _u94) | apply(_u96, _u80, skolem4(_u96, _u94, _u92, _u80)) )).
% 169.52/169.67 cnf(matrix-103, plain, ( ~maps(_u96, _u94, _u92) | ~member(_u83, _u94) | ~member(_u82, _u92) | ~member(_u81, _u92) | ~apply(_u96, _u83, _u82) | ~apply(_u96, _u83, _u81) | ( _u82 = _u81) )).
% 169.52/169.67 cnf(matrix-104, plain, ( maps(_u97, _u95, _u93) | member(skolem5(_u97, _u95, _u93), _u95) | member(skolem6(_u97, _u95, _u93), _u95) )).
% 169.52/169.67 cnf(matrix-105, plain, ( maps(_u97, _u95, _u93) | member(skolem5(_u97, _u95, _u93), _u95) | member(skolem7(_u97, _u95, _u93), _u93) )).
% 169.52/169.67 cnf(matrix-106, plain, ( maps(_u97, _u95, _u93) | member(skolem5(_u97, _u95, _u93), _u95) | member(skolem8(_u97, _u95, _u93), _u93) )).
% 169.52/169.67 cnf(matrix-107, plain, ( maps(_u97, _u95, _u93) | member(skolem5(_u97, _u95, _u93), _u95) | apply(_u97, skolem6(_u97, _u95, _u93), skolem7(_u97, _u95, _u93)) )).
% 169.52/169.67 cnf(matrix-108, plain, ( maps(_u97, _u95, _u93) | member(skolem5(_u97, _u95, _u93), _u95) | apply(_u97, skolem6(_u97, _u95, _u93), skolem8(_u97, _u95, _u93)) )).
% 169.52/169.67 cnf(matrix-109, plain, ( maps(_u97, _u95, _u93) | member(skolem5(_u97, _u95, _u93), _u95) | ( skolem7(_u97, _u95, _u93) != skolem8(_u97, _u95, _u93)) )).
% 169.52/169.67 cnf(matrix-110, plain, ( maps(_u97, _u95, _u93) | ~member(_u84, _u93) | ~apply(_u97, skolem5(_u97, _u95, _u93), _u84) | member(skolem6(_u97, _u95, _u93), _u95) )).
% 169.52/169.67 cnf(matrix-111, plain, ( maps(_u97, _u95, _u93) | ~member(_u84, _u93) | ~apply(_u97, skolem5(_u97, _u95, _u93), _u84) | member(skolem7(_u97, _u95, _u93), _u93) )).
% 169.52/169.67 cnf(matrix-112, plain, ( maps(_u97, _u95, _u93) | ~member(_u84, _u93) | ~apply(_u97, skolem5(_u97, _u95, _u93), _u84) | member(skolem8(_u97, _u95, _u93), _u93) )).
% 169.52/169.67 cnf(matrix-113, plain, ( maps(_u97, _u95, _u93) | ~member(_u84, _u93) | ~apply(_u97, skolem5(_u97, _u95, _u93), _u84) | apply(_u97, skolem6(_u97, _u95, _u93), skolem7(_u97, _u95, _u93)) )).
% 169.52/169.67 cnf(matrix-114, plain, ( maps(_u97, _u95, _u93) | ~member(_u84, _u93) | ~apply(_u97, skolem5(_u97, _u95, _u93), _u84) | apply(_u97, skolem6(_u97, _u95, _u93), skolem8(_u97, _u95, _u93)) )).
% 169.52/169.67 cnf(matrix-115, plain, ( maps(_u97, _u95, _u93) | ~member(_u84, _u93) | ~apply(_u97, skolem5(_u97, _u95, _u93), _u84) | ( skolem7(_u97, _u95, _u93) != skolem8(_u97, _u95, _u93)) )).
% 169.52/169.67 cnf(matrix-116, plain, ( ~compose_predicate(_u122, _u120, _u118, _u116, _u114, _u112) | ~member(_u101, _u116) | ~member(_u100, _u112) | ~apply(_u122, _u101, _u100) | member(skolem9(_u122, _u120, _u118, _u116, _u114, _u112, _u101, _u100), _u114) )).
% 169.52/169.67 cnf(matrix-117, plain, ( ~compose_predicate(_u122, _u120, _u118, _u116, _u114, _u112) | ~member(_u101, _u116) | ~member(_u100, _u112) | ~apply(_u122, _u101, _u100) | apply(_u118, _u101, skolem9(_u122, _u120, _u118, _u116, _u114, _u112, _u101, _u100)) )).
% 169.52/169.67 cnf(matrix-118, plain, ( ~compose_predicate(_u122, _u120, _u118, _u116, _u114, _u112) | ~member(_u101, _u116) | ~member(_u100, _u112) | ~apply(_u122, _u101, _u100) | apply(_u120, skolem9(_u122, _u120, _u118, _u116, _u114, _u112, _u101, _u100), _u100) )).
% 169.52/169.67 cnf(matrix-119, plain, ( ~compose_predicate(_u122, _u120, _u118, _u116, _u114, _u112) | ~member(_u101, _u116) | ~member(_u100, _u112) | ~member(_u99, _u114) | ~apply(_u118, _u101, _u99) | ~apply(_u120, _u99, _u100) | apply(_u122, _u101, _u100) )).
% 169.52/169.67 cnf(matrix-120, plain, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | member(skolem10(_u123, _u121, _u119, _u117, _u115, _u113), _u117) )).
% 169.52/169.67 cnf(matrix-121, plain, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | member(skolem11(_u123, _u121, _u119, _u117, _u115, _u113), _u113) )).
% 169.52/169.67 cnf(matrix-122, plain, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | apply(_u123, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) | member(skolem12(_u123, _u121, _u119, _u117, _u115, _u113), _u115) )).
% 169.52/169.67 cnf(matrix-123, plain, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | apply(_u123, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) | apply(_u119, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), skolem12(_u123, _u121, _u119, _u117, _u115, _u113)) )).
% 169.52/169.67 cnf(matrix-124, plain, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | apply(_u123, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) | apply(_u121, skolem12(_u123, _u121, _u119, _u117, _u115, _u113), skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) )).
% 169.52/169.67 cnf(matrix-125, plain, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | ~member(_u102, _u115) | ~apply(_u119, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), _u102) | ~apply(_u121, _u102, skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) | member(skolem12(_u123, _u121, _u119, _u117, _u115, _u113), _u115) )).
% 169.52/169.67 cnf(matrix-126, plain, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | ~member(_u102, _u115) | ~apply(_u119, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), _u102) | ~apply(_u121, _u102, skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) | apply(_u119, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), skolem12(_u123, _u121, _u119, _u117, _u115, _u113)) )).
% 169.52/169.67 cnf(matrix-127, plain, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | ~member(_u102, _u115) | ~apply(_u119, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), _u102) | ~apply(_u121, _u102, skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) | apply(_u121, skolem12(_u123, _u121, _u119, _u117, _u115, _u113), skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) )).
% 169.52/169.67 cnf(matrix-128, plain, ( compose_predicate(_u123, _u121, _u119, _u117, _u115, _u113) | ~member(_u102, _u115) | ~apply(_u119, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), _u102) | ~apply(_u121, _u102, skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) | ~apply(_u123, skolem10(_u123, _u121, _u119, _u117, _u115, _u113), skolem11(_u123, _u121, _u119, _u117, _u115, _u113)) )).
% 169.52/169.67 cnf(matrix-129, plain, ( ~member(_u127, _u130) | ~member(_u126, _u128) | ~apply(compose_function(_u132, _u131, _u130, _u129, _u128), _u127, _u126) | member(skolem13(_u132, _u131, _u130, _u129, _u128, _u127, _u126), _u129) )).
% 169.52/169.67 cnf(matrix-130, plain, ( ~member(_u127, _u130) | ~member(_u126, _u128) | ~apply(compose_function(_u132, _u131, _u130, _u129, _u128), _u127, _u126) | apply(_u131, _u127, skolem13(_u132, _u131, _u130, _u129, _u128, _u127, _u126)) )).
% 169.52/169.67 cnf(matrix-131, plain, ( ~member(_u127, _u130) | ~member(_u126, _u128) | ~apply(compose_function(_u132, _u131, _u130, _u129, _u128), _u127, _u126) | apply(_u132, skolem13(_u132, _u131, _u130, _u129, _u128, _u127, _u126), _u126) )).
% 169.52/169.67 cnf(matrix-132, plain, ( ~member(_u127, _u130) | ~member(_u126, _u128) | ~member(_u125, _u129) | ~apply(_u131, _u127, _u125) | ~apply(_u132, _u125, _u126) | apply(compose_function(_u132, _u131, _u130, _u129, _u128), _u127, _u126) )).
% 169.52/169.67 cnf(matrix-133, plain, ( ~equal_maps(_u149, _u147, _u145, _u143) | ~member(_u135, _u145) | ~member(_u134, _u143) | ~member(_u133, _u143) | ~apply(_u149, _u135, _u134) | ~apply(_u147, _u135, _u133) | ( _u134 = _u133) )).
% 169.52/169.67 cnf(matrix-134, plain, ( equal_maps(_u150, _u148, _u146, _u144) | member(skolem14(_u150, _u148, _u146, _u144), _u146) )).
% 169.52/169.67 cnf(matrix-135, plain, ( equal_maps(_u150, _u148, _u146, _u144) | member(skolem15(_u150, _u148, _u146, _u144), _u144) )).
% 169.52/169.67 cnf(matrix-136, plain, ( equal_maps(_u150, _u148, _u146, _u144) | member(skolem16(_u150, _u148, _u146, _u144), _u144) )).
% 169.52/169.67 cnf(matrix-137, plain, ( equal_maps(_u150, _u148, _u146, _u144) | apply(_u150, skolem14(_u150, _u148, _u146, _u144), skolem15(_u150, _u148, _u146, _u144)) )).
% 169.52/169.67 cnf(matrix-138, plain, ( equal_maps(_u150, _u148, _u146, _u144) | apply(_u148, skolem14(_u150, _u148, _u146, _u144), skolem16(_u150, _u148, _u146, _u144)) )).
% 169.52/169.67 cnf(matrix-139, plain, ( equal_maps(_u150, _u148, _u146, _u144) | ( skolem15(_u150, _u148, _u146, _u144) != skolem16(_u150, _u148, _u146, _u144)) )).
% 169.52/169.67 cnf(matrix-140, plain, ( ~identity(_u157, _u155) | ~member(_u151, _u155) | apply(_u157, _u151, _u151) )).
% 169.52/169.67 cnf(matrix-141, plain, ( identity(_u158, _u156) | member(skolem17(_u158, _u156), _u156) )).
% 169.52/169.67 cnf(matrix-142, plain, ( identity(_u158, _u156) | ~apply(_u158, skolem17(_u158, _u156), skolem17(_u158, _u156)) )).
% 169.52/169.67 cnf(matrix-143, plain, ( ~injective(_u172, _u170, _u168) | ~member(_u161, _u170) | ~member(_u160, _u170) | ~member(_u159, _u168) | ~apply(_u172, _u161, _u159) | ~apply(_u172, _u160, _u159) | ( _u161 = _u160) )).
% 169.52/169.67 cnf(matrix-144, plain, ( injective(_u173, _u171, _u169) | member(skolem18(_u173, _u171, _u169), _u171) )).
% 169.52/169.67 cnf(matrix-145, plain, ( injective(_u173, _u171, _u169) | member(skolem19(_u173, _u171, _u169), _u171) )).
% 169.52/169.67 cnf(matrix-146, plain, ( injective(_u173, _u171, _u169) | member(skolem20(_u173, _u171, _u169), _u169) )).
% 169.52/169.67 cnf(matrix-147, plain, ( injective(_u173, _u171, _u169) | apply(_u173, skolem18(_u173, _u171, _u169), skolem20(_u173, _u171, _u169)) )).
% 169.52/169.67 cnf(matrix-148, plain, ( injective(_u173, _u171, _u169) | apply(_u173, skolem19(_u173, _u171, _u169), skolem20(_u173, _u171, _u169)) )).
% 169.52/169.67 cnf(matrix-149, plain, ( injective(_u173, _u171, _u169) | ( skolem18(_u173, _u171, _u169) != skolem19(_u173, _u171, _u169)) )).
% 169.52/169.67 cnf(matrix-150, plain, ( ~surjective(_u185, _u183, _u181) | ~member(_u175, _u181) | member(skolem21(_u185, _u183, _u181, _u175), _u183) )).
% 169.52/169.67 cnf(matrix-151, plain, ( ~surjective(_u185, _u183, _u181) | ~member(_u175, _u181) | apply(_u185, skolem21(_u185, _u183, _u181, _u175), _u175) )).
% 169.52/169.67 cnf(matrix-152, plain, ( surjective(_u186, _u184, _u182) | member(skolem22(_u186, _u184, _u182), _u182) )).
% 169.52/169.67 cnf(matrix-153, plain, ( surjective(_u186, _u184, _u182) | ~member(_u176, _u184) | ~apply(_u186, _u176, skolem22(_u186, _u184, _u182)) )).
% 169.52/169.67 cnf(matrix-154, plain, ( ~one_to_one(_u194, _u192, _u190) | injective(_u194, _u192, _u190) )).
% 169.52/169.67 cnf(matrix-155, plain, ( ~one_to_one(_u194, _u192, _u190) | surjective(_u194, _u192, _u190) )).
% 169.52/169.67 cnf(matrix-156, plain, ( ~injective(_u195, _u193, _u191) | ~surjective(_u195, _u193, _u191) | one_to_one(_u195, _u193, _u191) )).
% 169.52/169.67 cnf(matrix-157, plain, ( ~inverse_predicate(_u210, _u208, _u206, _u204) | ~member(_u197, _u206) | ~member(_u196, _u204) | ~apply(_u208, _u197, _u196) | apply(_u210, _u196, _u197) )).
% 169.52/169.67 cnf(matrix-158, plain, ( ~inverse_predicate(_u210, _u208, _u206, _u204) | ~member(_u197, _u206) | ~member(_u196, _u204) | ~apply(_u210, _u196, _u197) | apply(_u208, _u197, _u196) )).
% 169.52/169.67 cnf(matrix-159, plain, ( inverse_predicate(_u211, _u209, _u207, _u205) | member(skolem23(_u211, _u209, _u207, _u205), _u207) )).
% 169.52/169.67 cnf(matrix-160, plain, ( inverse_predicate(_u211, _u209, _u207, _u205) | member(skolem24(_u211, _u209, _u207, _u205), _u205) )).
% 169.52/169.67 cnf(matrix-161, plain, ( inverse_predicate(_u211, _u209, _u207, _u205) | apply(_u209, skolem23(_u211, _u209, _u207, _u205), skolem24(_u211, _u209, _u207, _u205)) | apply(_u211, skolem24(_u211, _u209, _u207, _u205), skolem23(_u211, _u209, _u207, _u205)) )).
% 169.52/169.67 cnf(matrix-162, plain, ( inverse_predicate(_u211, _u209, _u207, _u205) | ~apply(_u211, skolem24(_u211, _u209, _u207, _u205), skolem23(_u211, _u209, _u207, _u205)) | ~apply(_u209, skolem23(_u211, _u209, _u207, _u205), skolem24(_u211, _u209, _u207, _u205)) )).
% 169.52/169.67 cnf(matrix-163, plain, ( ~member(_u213, _u215) | ~member(_u212, _u214) | ~apply(_u216, _u213, _u212) | apply(inverse_function(_u216, _u215, _u214), _u212, _u213) )).
% 169.52/169.67 cnf(matrix-164, plain, ( ~member(_u213, _u215) | ~member(_u212, _u214) | ~apply(inverse_function(_u216, _u215, _u214), _u212, _u213) | apply(_u216, _u213, _u212) )).
% 169.52/169.67 cnf(matrix-165, plain, ( ~member(_u222, image2(_u226, _u224)) | member(skolem25(_u226, _u224, _u222), _u224) )).
% 169.52/169.67 cnf(matrix-166, plain, ( ~member(_u222, image2(_u226, _u224)) | apply(_u226, skolem25(_u226, _u224, _u222), _u222) )).
% 169.52/169.67 cnf(matrix-167, plain, ( ~member(_u218, _u225) | ~apply(_u227, _u218, _u223) | member(_u223, image2(_u227, _u225)) )).
% 169.52/169.67 cnf(matrix-168, plain, ( ~member(_u234, image3(_u240, _u238, _u236)) | member(_u234, _u236) )).
% 169.52/169.67 cnf(matrix-169, plain, ( ~member(_u234, image3(_u240, _u238, _u236)) | member(skolem26(_u240, _u238, _u236, _u234), _u238) )).
% 169.52/169.67 cnf(matrix-170, plain, ( ~member(_u234, image3(_u240, _u238, _u236)) | apply(_u240, skolem26(_u240, _u238, _u236, _u234), _u234) )).
% 169.52/169.67 cnf(matrix-171, plain, ( ~member(_u235, _u237) | ~member(_u229, _u239) | ~apply(_u241, _u229, _u235) | member(_u235, image3(_u241, _u239, _u237)) )).
% 169.52/169.67 cnf(matrix-172, plain, ( ~member(_u247, inverse_image2(_u251, _u249)) | member(skolem27(_u251, _u249, _u247), _u249) )).
% 169.52/169.67 cnf(matrix-173, plain, ( ~member(_u247, inverse_image2(_u251, _u249)) | apply(_u251, _u247, skolem27(_u251, _u249, _u247)) )).
% 169.52/169.67 cnf(matrix-174, plain, ( ~member(_u243, _u250) | ~apply(_u252, _u248, _u243) | member(_u248, inverse_image2(_u252, _u250)) )).
% 169.52/169.67 cnf(matrix-175, plain, ( ~member(_u259, inverse_image3(_u265, _u263, _u261)) | member(_u259, _u261) )).
% 169.52/169.67 cnf(matrix-176, plain, ( ~member(_u259, inverse_image3(_u265, _u263, _u261)) | member(skolem28(_u265, _u263, _u261, _u259), _u263) )).
% 169.52/169.67 cnf(matrix-177, plain, ( ~member(_u259, inverse_image3(_u265, _u263, _u261)) | apply(_u265, _u259, skolem28(_u265, _u263, _u261, _u259)) )).
% 169.52/169.67 cnf(matrix-178, plain, ( ~member(_u260, _u262) | ~member(_u254, _u264) | ~apply(_u266, _u260, _u254) | member(_u260, inverse_image3(_u266, _u264, _u262)) )).
% 169.52/169.67 cnf(matrix-179, plain, ( ~increasing(_u288, _u286, _u284, _u282, _u280) | ~member(_u270, _u286) | ~member(_u269, _u282) | ~member(_u268, _u286) | ~member(_u267, _u282) | ~apply(_u284, _u270, _u268) | ~apply(_u288, _u270, _u269) | ~apply(_u288, _u268, _u267) | apply(_u280, _u269, _u267) )).
% 169.52/169.67 cnf(matrix-180, plain, ( increasing(_u289, _u287, _u285, _u283, _u281) | member(skolem29(_u289, _u287, _u285, _u283, _u281), _u287) )).
% 169.52/169.67 cnf(matrix-181, plain, ( increasing(_u289, _u287, _u285, _u283, _u281) | member(skolem30(_u289, _u287, _u285, _u283, _u281), _u283) )).
% 169.52/169.67 cnf(matrix-182, plain, ( increasing(_u289, _u287, _u285, _u283, _u281) | member(skolem31(_u289, _u287, _u285, _u283, _u281), _u287) )).
% 169.52/169.67 cnf(matrix-183, plain, ( increasing(_u289, _u287, _u285, _u283, _u281) | member(skolem32(_u289, _u287, _u285, _u283, _u281), _u283) )).
% 169.52/169.67 cnf(matrix-184, plain, ( increasing(_u289, _u287, _u285, _u283, _u281) | apply(_u285, skolem29(_u289, _u287, _u285, _u283, _u281), skolem31(_u289, _u287, _u285, _u283, _u281)) )).
% 169.52/169.67 cnf(matrix-185, plain, ( increasing(_u289, _u287, _u285, _u283, _u281) | apply(_u289, skolem29(_u289, _u287, _u285, _u283, _u281), skolem30(_u289, _u287, _u285, _u283, _u281)) )).
% 169.52/169.67 cnf(matrix-186, plain, ( increasing(_u289, _u287, _u285, _u283, _u281) | apply(_u289, skolem31(_u289, _u287, _u285, _u283, _u281), skolem32(_u289, _u287, _u285, _u283, _u281)) )).
% 169.52/169.67 cnf(matrix-187, plain, ( increasing(_u289, _u287, _u285, _u283, _u281) | ~apply(_u281, skolem30(_u289, _u287, _u285, _u283, _u281), skolem32(_u289, _u287, _u285, _u283, _u281)) )).
% 169.52/169.67 cnf(matrix-188, plain, ( ~decreasing(_u311, _u309, _u307, _u305, _u303) | ~member(_u293, _u309) | ~member(_u292, _u305) | ~member(_u291, _u309) | ~member(_u290, _u305) | ~apply(_u307, _u293, _u291) | ~apply(_u311, _u293, _u292) | ~apply(_u311, _u291, _u290) | apply(_u303, _u290, _u292) )).
% 169.52/169.67 cnf(matrix-189, plain, ( decreasing(_u312, _u310, _u308, _u306, _u304) | member(skolem33(_u312, _u310, _u308, _u306, _u304), _u310) )).
% 169.52/169.67 cnf(matrix-190, plain, ( decreasing(_u312, _u310, _u308, _u306, _u304) | member(skolem34(_u312, _u310, _u308, _u306, _u304), _u306) )).
% 169.52/169.67 cnf(matrix-191, plain, ( decreasing(_u312, _u310, _u308, _u306, _u304) | member(skolem35(_u312, _u310, _u308, _u306, _u304), _u310) )).
% 169.52/169.67 cnf(matrix-192, plain, ( decreasing(_u312, _u310, _u308, _u306, _u304) | member(skolem36(_u312, _u310, _u308, _u306, _u304), _u306) )).
% 169.52/169.67 cnf(matrix-193, plain, ( decreasing(_u312, _u310, _u308, _u306, _u304) | apply(_u308, skolem33(_u312, _u310, _u308, _u306, _u304), skolem35(_u312, _u310, _u308, _u306, _u304)) )).
% 169.52/169.67 cnf(matrix-194, plain, ( decreasing(_u312, _u310, _u308, _u306, _u304) | apply(_u312, skolem33(_u312, _u310, _u308, _u306, _u304), skolem34(_u312, _u310, _u308, _u306, _u304)) )).
% 169.52/169.67 cnf(matrix-195, plain, ( decreasing(_u312, _u310, _u308, _u306, _u304) | apply(_u312, skolem35(_u312, _u310, _u308, _u306, _u304), skolem36(_u312, _u310, _u308, _u306, _u304)) )).
% 169.52/169.67 cnf(matrix-196, plain, ( decreasing(_u312, _u310, _u308, _u306, _u304) | ~apply(_u304, skolem36(_u312, _u310, _u308, _u306, _u304), skolem34(_u312, _u310, _u308, _u306, _u304)) )).
% 169.52/169.67 cnf(matrix-197, plain, ( ~isomorphism(_u334, _u332, _u330, _u328, _u326) | maps(_u334, _u332, _u328) )).
% 169.52/169.67 cnf(matrix-198, plain, ( ~isomorphism(_u334, _u332, _u330, _u328, _u326) | one_to_one(_u334, _u332, _u328) )).
% 169.52/169.67 cnf(matrix-199, plain, ( ~isomorphism(_u334, _u332, _u330, _u328, _u326) | ~member(_u316, _u332) | ~member(_u315, _u328) | ~member(_u314, _u332) | ~member(_u313, _u328) | ~apply(_u334, _u316, _u315) | ~apply(_u334, _u314, _u313) | ~apply(_u330, _u316, _u314) | apply(_u326, _u315, _u313) )).
% 169.52/169.67 cnf(matrix-200, plain, ( ~isomorphism(_u334, _u332, _u330, _u328, _u326) | ~member(_u316, _u332) | ~member(_u315, _u328) | ~member(_u314, _u332) | ~member(_u313, _u328) | ~apply(_u334, _u316, _u315) | ~apply(_u334, _u314, _u313) | ~apply(_u326, _u315, _u313) | apply(_u330, _u316, _u314) )).
% 169.52/169.67 cnf(matrix-201, plain, ( isomorphism(_u335, _u333, _u331, _u329, _u327) | ~maps(_u335, _u333, _u329) | ~one_to_one(_u335, _u333, _u329) | member(skolem37(_u335, _u333, _u331, _u329, _u327), _u333) )).
% 169.52/169.67 cnf(matrix-202, plain, ( isomorphism(_u335, _u333, _u331, _u329, _u327) | ~maps(_u335, _u333, _u329) | ~one_to_one(_u335, _u333, _u329) | member(skolem38(_u335, _u333, _u331, _u329, _u327), _u329) )).
% 169.52/169.67 cnf(matrix-203, plain, ( isomorphism(_u335, _u333, _u331, _u329, _u327) | ~maps(_u335, _u333, _u329) | ~one_to_one(_u335, _u333, _u329) | member(skolem39(_u335, _u333, _u331, _u329, _u327), _u333) )).
% 169.52/169.67 cnf(matrix-204, plain, ( isomorphism(_u335, _u333, _u331, _u329, _u327) | ~maps(_u335, _u333, _u329) | ~one_to_one(_u335, _u333, _u329) | member(skolem40(_u335, _u333, _u331, _u329, _u327), _u329) )).
% 169.52/169.67 cnf(matrix-205, plain, ( isomorphism(_u335, _u333, _u331, _u329, _u327) | ~maps(_u335, _u333, _u329) | ~one_to_one(_u335, _u333, _u329) | apply(_u335, skolem37(_u335, _u333, _u331, _u329, _u327), skolem38(_u335, _u333, _u331, _u329, _u327)) )).
% 169.52/169.67 cnf(matrix-206, plain, ( isomorphism(_u335, _u333, _u331, _u329, _u327) | ~maps(_u335, _u333, _u329) | ~one_to_one(_u335, _u333, _u329) | apply(_u335, skolem39(_u335, _u333, _u331, _u329, _u327), skolem40(_u335, _u333, _u331, _u329, _u327)) )).
% 169.52/169.67 cnf(matrix-207, plain, ( isomorphism(_u335, _u333, _u331, _u329, _u327) | ~maps(_u335, _u333, _u329) | ~one_to_one(_u335, _u333, _u329) | apply(_u331, skolem37(_u335, _u333, _u331, _u329, _u327), skolem39(_u335, _u333, _u331, _u329, _u327)) | apply(_u327, skolem38(_u335, _u333, _u331, _u329, _u327), skolem40(_u335, _u333, _u331, _u329, _u327)) )).
% 169.52/169.67 cnf(matrix-208, plain, ( isomorphism(_u335, _u333, _u331, _u329, _u327) | ~maps(_u335, _u333, _u329) | ~one_to_one(_u335, _u333, _u329) | ~apply(_u327, skolem38(_u335, _u333, _u331, _u329, _u327), skolem40(_u335, _u333, _u331, _u329, _u327)) | ~apply(_u331, skolem37(_u335, _u333, _u331, _u329, _u327), skolem39(_u335, _u333, _u331, _u329, _u327)) )).
% 169.52/169.67 cnf(matrix-209, plain, ( maps(skolem41, skolem42, skolem43) )).
% 169.52/169.67 cnf(matrix-210, plain, ( ~equal_set(inverse_image2(skolem41, empty_set), empty_set) )).
% 169.52/169.67
% 169.52/169.67 % Proof stack:
% 169.52/169.67 cnf(proof-stack, plain,
% 169.52/169.67 proof_stack(
% 169.52/169.67 start(210),
% 169.52/169.67 left_branch(0, 77, 2, 2),
% 169.52/169.67 left_branch(0, 73, 0, 3),
% 169.52/169.67 left_branch(0, 172, 0, 4),
% 169.52/169.67 left_branch(0, 86, 0, 5),
% 169.52/169.67 right_branch(5),
% 169.52/169.67 right_branch(4),
% 169.52/169.67 right_branch(3),
% 169.52/169.67 left_branch(0, 73, 0, 4),
% 169.52/169.67 left_branch(0, 86, 0, 5),
% 169.52/169.67 right_branch(5),
% 169.52/169.67 right_branch(4),
% 169.52/169.67 right_branch(2)
% 169.52/169.67 )).
% 169.52/169.67 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------