TSTP Solution File: SET776+4 by ConnectPP---0.2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SET776+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n009.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 : Wed Mar 6 09:19:41 EST 2024
% Result : Theorem 62.89s 63.08s
% Output : Proof 62.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET776+4 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n009.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 : Sun Mar 3 20:05:47 EST 2024
% 0.13/0.34 % CPUTime :
% 62.89/63.08 % SZS status Theorem for theBenchmark
% 62.89/63.08 % SZS output start Proof for theBenchmark
% 62.89/63.08
% 62.89/63.08 % Formula: subset ( axiom ) converted to clauses:
% 62.89/63.08 cnf(subset-1, axiom, ( ~subset(_u6, _u4) | ~member(_u0, _u6) | member(_u0, _u4) )).
% 62.89/63.08 cnf(subset-2, axiom, ( subset(_u7, _u5) | member(skolem1(_u7, _u5), _u7) )).
% 62.89/63.08 cnf(subset-3, axiom, ( subset(_u7, _u5) | ~member(skolem1(_u7, _u5), _u5) )).
% 62.89/63.08
% 62.89/63.08 % Formula: equal_set ( axiom ) converted to clauses:
% 62.89/63.08 cnf(equal_set-1, axiom, ( ~equal_set(_u12, _u10) | subset(_u12, _u10) )).
% 62.89/63.08 cnf(equal_set-2, axiom, ( ~equal_set(_u12, _u10) | subset(_u10, _u12) )).
% 62.89/63.08 cnf(equal_set-3, axiom, ( ~subset(_u13, _u11) | ~subset(_u11, _u13) | equal_set(_u13, _u11) )).
% 62.89/63.08
% 62.89/63.08 % Formula: power_set ( axiom ) converted to clauses:
% 62.89/63.08 cnf(power_set-1, axiom, ( ~member(_u18, power_set(_u16)) | subset(_u18, _u16) )).
% 62.89/63.08 cnf(power_set-2, axiom, ( ~subset(_u19, _u17) | member(_u19, power_set(_u17)) )).
% 62.89/63.08
% 62.89/63.08 % Formula: intersection ( axiom ) converted to clauses:
% 62.89/63.08 cnf(intersection-1, axiom, ( ~member(_u27, intersection(_u25, _u23)) | member(_u27, _u25) )).
% 62.89/63.08 cnf(intersection-2, axiom, ( ~member(_u27, intersection(_u25, _u23)) | member(_u27, _u23) )).
% 62.89/63.08 cnf(intersection-3, axiom, ( ~member(_u28, _u26) | ~member(_u28, _u24) | member(_u28, intersection(_u26, _u24)) )).
% 62.89/63.08
% 62.89/63.08 % Formula: union ( axiom ) converted to clauses:
% 62.89/63.08 cnf(union-1, axiom, ( ~member(_u36, union(_u34, _u32)) | member(_u36, _u34) | member(_u36, _u32) )).
% 62.89/63.08 cnf(union-2, axiom, ( member(_u37, union(_u35, _u33)) | ~member(_u37, _u35) )).
% 62.89/63.08 cnf(union-3, axiom, ( member(_u37, union(_u35, _u33)) | ~member(_u37, _u33) )).
% 62.89/63.08
% 62.89/63.08 % Formula: empty_set ( axiom ) converted to clauses:
% 62.89/63.08 cnf(empty_set-1, axiom, ( ~member(_u38, empty_set) )).
% 62.89/63.08
% 62.89/63.08 % Formula: difference ( axiom ) converted to clauses:
% 62.89/63.08 cnf(difference-1, axiom, ( ~member(_u46, difference(_u42, _u44)) | member(_u46, _u42) )).
% 62.89/63.08 cnf(difference-2, axiom, ( ~member(_u46, difference(_u42, _u44)) | ~member(_u46, _u44) )).
% 62.89/63.08 cnf(difference-3, axiom, ( ~member(_u47, _u43) | member(_u47, _u45) | member(_u47, difference(_u43, _u45)) )).
% 62.89/63.08
% 62.89/63.08 % Formula: singleton ( axiom ) converted to clauses:
% 62.89/63.08 cnf(singleton-1, axiom, ( ~member(_u52, singleton(_u50)) | ( _u52 = _u50) )).
% 62.89/63.08 cnf(singleton-2, axiom, ( ( _u53 != _u51) | member(_u53, singleton(_u51)) )).
% 62.89/63.08
% 62.89/63.08 % Formula: unordered_pair ( axiom ) converted to clauses:
% 62.89/63.08 cnf(unordered_pair-1, axiom, ( ~member(_u61, unordered_pair(_u59, _u57)) | ( _u61 = _u59) | ( _u61 = _u57) )).
% 62.89/63.08 cnf(unordered_pair-2, axiom, ( member(_u62, unordered_pair(_u60, _u58)) | ( _u62 != _u60) )).
% 62.89/63.08 cnf(unordered_pair-3, axiom, ( member(_u62, unordered_pair(_u60, _u58)) | ( _u62 != _u58) )).
% 62.89/63.08
% 62.89/63.08 % Formula: sum ( axiom ) converted to clauses:
% 62.89/63.08 cnf(sum-1, axiom, ( ~member(_u69, sum(_u67)) | member(skolem2(_u69, _u67), _u67) )).
% 62.89/63.08 cnf(sum-2, axiom, ( ~member(_u69, sum(_u67)) | member(_u69, skolem2(_u69, _u67)) )).
% 62.89/63.08 cnf(sum-3, axiom, ( ~member(_u64, _u68) | ~member(_u70, _u64) | member(_u70, sum(_u68)) )).
% 62.89/63.08
% 62.89/63.08 % Formula: product ( axiom ) converted to clauses:
% 62.89/63.08 cnf(product-1, axiom, ( ~member(_u77, product(_u75)) | ~member(_u71, _u75) | member(_u77, _u71) )).
% 62.89/63.08 cnf(product-2, axiom, ( member(_u78, product(_u76)) | member(skolem3(_u78, _u76), _u76) )).
% 62.89/63.08 cnf(product-3, axiom, ( member(_u78, product(_u76)) | ~member(_u78, skolem3(_u78, _u76)) )).
% 62.89/63.08
% 62.89/63.08 % Formula: disjoint ( axiom ) converted to clauses:
% 62.89/63.08 cnf(disjoint-1, axiom, ( ~disjoint(_u85, _u83) | ~member(_u79, _u85) | ~member(_u79, _u83) )).
% 62.89/63.08 cnf(disjoint-2, axiom, ( disjoint(_u86, _u84) | member(skolem4(_u86, _u84), _u86) )).
% 62.89/63.08 cnf(disjoint-3, axiom, ( disjoint(_u86, _u84) | member(skolem4(_u86, _u84), _u84) )).
% 62.89/63.08
% 62.89/63.08 % Formula: partition ( axiom ) converted to clauses:
% 62.89/63.08 cnf(partition-1, axiom, ( ~partition(_u103, _u101) | ~member(_u87, _u103) | subset(_u87, _u101) )).
% 62.89/63.08 cnf(partition-2, axiom, ( ~partition(_u103, _u101) | ~member(_u89, _u101) | member(skolem5(_u103, _u101, _u89), _u103) )).
% 62.89/63.08 cnf(partition-3, axiom, ( ~partition(_u103, _u101) | ~member(_u89, _u101) | member(_u89, skolem5(_u103, _u101, _u89)) )).
% 62.89/63.08 cnf(partition-4, axiom, ( ~partition(_u103, _u101) | ~member(_u92, _u103) | ~member(_u91, _u103) | ~member(_u90, _u92) | ~member(_u90, _u91) | ( _u92 = _u91) )).
% 62.89/63.08 cnf(partition-5, axiom, ( partition(_u104, _u102) | member(skolem8(_u104, _u102), _u104) | member(skolem6(_u104, _u102), _u104) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(partition-6, axiom, ( partition(_u104, _u102) | member(skolem8(_u104, _u102), _u104) | member(skolem6(_u104, _u102), _u104) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(partition-7, axiom, ( partition(_u104, _u102) | member(skolem9(_u104, _u102), _u104) | member(skolem6(_u104, _u102), _u104) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(partition-8, axiom, ( partition(_u104, _u102) | member(skolem9(_u104, _u102), _u104) | member(skolem6(_u104, _u102), _u104) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(partition-9, axiom, ( partition(_u104, _u102) | member(skolem8(_u104, _u102), _u104) | ~subset(skolem6(_u104, _u102), _u102) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(partition-10, axiom, ( partition(_u104, _u102) | member(skolem8(_u104, _u102), _u104) | ~subset(skolem6(_u104, _u102), _u102) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(partition-11, axiom, ( partition(_u104, _u102) | member(skolem9(_u104, _u102), _u104) | ~subset(skolem6(_u104, _u102), _u102) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(partition-12, axiom, ( partition(_u104, _u102) | member(skolem9(_u104, _u102), _u104) | ~subset(skolem6(_u104, _u102), _u102) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(partition-13, axiom, ( partition(_u104, _u102) | member(skolem10(_u104, _u102), skolem8(_u104, _u102)) | member(skolem6(_u104, _u102), _u104) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(partition-14, axiom, ( partition(_u104, _u102) | member(skolem10(_u104, _u102), skolem8(_u104, _u102)) | member(skolem6(_u104, _u102), _u104) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(partition-15, axiom, ( partition(_u104, _u102) | member(skolem10(_u104, _u102), skolem9(_u104, _u102)) | member(skolem6(_u104, _u102), _u104) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(partition-16, axiom, ( partition(_u104, _u102) | member(skolem10(_u104, _u102), skolem9(_u104, _u102)) | member(skolem6(_u104, _u102), _u104) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(partition-17, axiom, ( partition(_u104, _u102) | ( skolem8(_u104, _u102) != skolem9(_u104, _u102)) | member(skolem6(_u104, _u102), _u104) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(partition-18, axiom, ( partition(_u104, _u102) | ( skolem8(_u104, _u102) != skolem9(_u104, _u102)) | member(skolem6(_u104, _u102), _u104) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(partition-19, axiom, ( partition(_u104, _u102) | member(skolem10(_u104, _u102), skolem8(_u104, _u102)) | ~subset(skolem6(_u104, _u102), _u102) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(partition-20, axiom, ( partition(_u104, _u102) | member(skolem10(_u104, _u102), skolem8(_u104, _u102)) | ~subset(skolem6(_u104, _u102), _u102) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(partition-21, axiom, ( partition(_u104, _u102) | member(skolem10(_u104, _u102), skolem9(_u104, _u102)) | ~subset(skolem6(_u104, _u102), _u102) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(partition-22, axiom, ( partition(_u104, _u102) | member(skolem10(_u104, _u102), skolem9(_u104, _u102)) | ~subset(skolem6(_u104, _u102), _u102) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(partition-23, axiom, ( partition(_u104, _u102) | ( skolem8(_u104, _u102) != skolem9(_u104, _u102)) | ~subset(skolem6(_u104, _u102), _u102) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(partition-24, axiom, ( partition(_u104, _u102) | ( skolem8(_u104, _u102) != skolem9(_u104, _u102)) | ~subset(skolem6(_u104, _u102), _u102) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08
% 62.89/63.08 % Formula: equivalence ( axiom ) converted to clauses:
% 62.89/63.08 cnf(equivalence-1, axiom, ( ~equivalence(_u119, _u121) | ~member(_u105, _u121) | apply(_u119, _u105, _u105) )).
% 62.89/63.08 cnf(equivalence-2, axiom, ( ~equivalence(_u119, _u121) | ~member(_u107, _u121) | ~member(_u106, _u121) | ~apply(_u119, _u107, _u106) | apply(_u119, _u106, _u107) )).
% 62.89/63.08 cnf(equivalence-3, axiom, ( ~equivalence(_u119, _u121) | ~member(_u110, _u121) | ~member(_u109, _u121) | ~member(_u108, _u121) | ~apply(_u119, _u110, _u109) | ~apply(_u119, _u109, _u108) | apply(_u119, _u110, _u108) )).
% 62.89/63.08 cnf(equivalence-4, axiom, ( equivalence(_u120, _u122) | member(skolem14(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-5, axiom, ( equivalence(_u120, _u122) | member(skolem14(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-6, axiom, ( equivalence(_u120, _u122) | member(skolem14(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-7, axiom, ( equivalence(_u120, _u122) | member(skolem14(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-8, axiom, ( equivalence(_u120, _u122) | member(skolem15(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-9, axiom, ( equivalence(_u120, _u122) | member(skolem15(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-10, axiom, ( equivalence(_u120, _u122) | member(skolem15(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-11, axiom, ( equivalence(_u120, _u122) | member(skolem15(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-12, axiom, ( equivalence(_u120, _u122) | member(skolem16(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-13, axiom, ( equivalence(_u120, _u122) | member(skolem16(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-14, axiom, ( equivalence(_u120, _u122) | member(skolem16(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-15, axiom, ( equivalence(_u120, _u122) | member(skolem16(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-16, axiom, ( equivalence(_u120, _u122) | member(skolem14(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-17, axiom, ( equivalence(_u120, _u122) | member(skolem14(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-18, axiom, ( equivalence(_u120, _u122) | member(skolem14(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-19, axiom, ( equivalence(_u120, _u122) | member(skolem14(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-20, axiom, ( equivalence(_u120, _u122) | member(skolem15(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-21, axiom, ( equivalence(_u120, _u122) | member(skolem15(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-22, axiom, ( equivalence(_u120, _u122) | member(skolem15(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-23, axiom, ( equivalence(_u120, _u122) | member(skolem15(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-24, axiom, ( equivalence(_u120, _u122) | member(skolem16(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-25, axiom, ( equivalence(_u120, _u122) | member(skolem16(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-26, axiom, ( equivalence(_u120, _u122) | member(skolem16(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-27, axiom, ( equivalence(_u120, _u122) | member(skolem16(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-28, axiom, ( equivalence(_u120, _u122) | apply(_u120, skolem14(_u122, _u120), skolem15(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-29, axiom, ( equivalence(_u120, _u122) | apply(_u120, skolem14(_u122, _u120), skolem15(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-30, axiom, ( equivalence(_u120, _u122) | apply(_u120, skolem14(_u122, _u120), skolem15(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-31, axiom, ( equivalence(_u120, _u122) | apply(_u120, skolem14(_u122, _u120), skolem15(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-32, axiom, ( equivalence(_u120, _u122) | apply(_u120, skolem15(_u122, _u120), skolem16(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-33, axiom, ( equivalence(_u120, _u122) | apply(_u120, skolem15(_u122, _u120), skolem16(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-34, axiom, ( equivalence(_u120, _u122) | apply(_u120, skolem15(_u122, _u120), skolem16(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-35, axiom, ( equivalence(_u120, _u122) | apply(_u120, skolem15(_u122, _u120), skolem16(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-36, axiom, ( equivalence(_u120, _u122) | ~apply(_u120, skolem14(_u122, _u120), skolem16(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-37, axiom, ( equivalence(_u120, _u122) | ~apply(_u120, skolem14(_u122, _u120), skolem16(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-38, axiom, ( equivalence(_u120, _u122) | ~apply(_u120, skolem14(_u122, _u120), skolem16(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-39, axiom, ( equivalence(_u120, _u122) | ~apply(_u120, skolem14(_u122, _u120), skolem16(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-40, axiom, ( equivalence(_u120, _u122) | apply(_u120, skolem14(_u122, _u120), skolem15(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-41, axiom, ( equivalence(_u120, _u122) | apply(_u120, skolem14(_u122, _u120), skolem15(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-42, axiom, ( equivalence(_u120, _u122) | apply(_u120, skolem14(_u122, _u120), skolem15(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-43, axiom, ( equivalence(_u120, _u122) | apply(_u120, skolem14(_u122, _u120), skolem15(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-44, axiom, ( equivalence(_u120, _u122) | apply(_u120, skolem15(_u122, _u120), skolem16(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-45, axiom, ( equivalence(_u120, _u122) | apply(_u120, skolem15(_u122, _u120), skolem16(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-46, axiom, ( equivalence(_u120, _u122) | apply(_u120, skolem15(_u122, _u120), skolem16(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-47, axiom, ( equivalence(_u120, _u122) | apply(_u120, skolem15(_u122, _u120), skolem16(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-48, axiom, ( equivalence(_u120, _u122) | ~apply(_u120, skolem14(_u122, _u120), skolem16(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-49, axiom, ( equivalence(_u120, _u122) | ~apply(_u120, skolem14(_u122, _u120), skolem16(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(equivalence-50, axiom, ( equivalence(_u120, _u122) | ~apply(_u120, skolem14(_u122, _u120), skolem16(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(equivalence-51, axiom, ( equivalence(_u120, _u122) | ~apply(_u120, skolem14(_u122, _u120), skolem16(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08
% 62.89/63.08 % Formula: equivalence_class ( axiom ) converted to clauses:
% 62.89/63.08 cnf(equivalence_class-1, axiom, ( ~member(_u127, equivalence_class(_u129, _u131, _u133)) | member(_u127, _u131) )).
% 62.89/63.08 cnf(equivalence_class-2, axiom, ( ~member(_u127, equivalence_class(_u129, _u131, _u133)) | apply(_u133, _u129, _u127) )).
% 62.89/63.08 cnf(equivalence_class-3, axiom, ( ~member(_u128, _u132) | ~apply(_u134, _u130, _u128) | member(_u128, equivalence_class(_u130, _u132, _u134)) )).
% 62.89/63.08
% 62.89/63.08 % Formula: pre_order ( axiom ) converted to clauses:
% 62.89/63.08 cnf(pre_order-1, axiom, ( ~pre_order(_u147, _u145) | ~member(_u135, _u145) | apply(_u147, _u135, _u135) )).
% 62.89/63.08 cnf(pre_order-2, axiom, ( ~pre_order(_u147, _u145) | ~member(_u138, _u145) | ~member(_u137, _u145) | ~member(_u136, _u145) | ~apply(_u147, _u138, _u137) | ~apply(_u147, _u137, _u136) | apply(_u147, _u138, _u136) )).
% 62.89/63.08 cnf(pre_order-3, axiom, ( pre_order(_u148, _u146) | member(skolem17(_u148, _u146), _u146) | member(skolem18(_u148, _u146), _u146) )).
% 62.89/63.08 cnf(pre_order-4, axiom, ( pre_order(_u148, _u146) | member(skolem17(_u148, _u146), _u146) | member(skolem19(_u148, _u146), _u146) )).
% 62.89/63.08 cnf(pre_order-5, axiom, ( pre_order(_u148, _u146) | member(skolem17(_u148, _u146), _u146) | member(skolem20(_u148, _u146), _u146) )).
% 62.89/63.08 cnf(pre_order-6, axiom, ( pre_order(_u148, _u146) | member(skolem17(_u148, _u146), _u146) | apply(_u148, skolem18(_u148, _u146), skolem19(_u148, _u146)) )).
% 62.89/63.08 cnf(pre_order-7, axiom, ( pre_order(_u148, _u146) | member(skolem17(_u148, _u146), _u146) | apply(_u148, skolem19(_u148, _u146), skolem20(_u148, _u146)) )).
% 62.89/63.08 cnf(pre_order-8, axiom, ( pre_order(_u148, _u146) | member(skolem17(_u148, _u146), _u146) | ~apply(_u148, skolem18(_u148, _u146), skolem20(_u148, _u146)) )).
% 62.89/63.08 cnf(pre_order-9, axiom, ( pre_order(_u148, _u146) | ~apply(_u148, skolem17(_u148, _u146), skolem17(_u148, _u146)) | member(skolem18(_u148, _u146), _u146) )).
% 62.89/63.08 cnf(pre_order-10, axiom, ( pre_order(_u148, _u146) | ~apply(_u148, skolem17(_u148, _u146), skolem17(_u148, _u146)) | member(skolem19(_u148, _u146), _u146) )).
% 62.89/63.08 cnf(pre_order-11, axiom, ( pre_order(_u148, _u146) | ~apply(_u148, skolem17(_u148, _u146), skolem17(_u148, _u146)) | member(skolem20(_u148, _u146), _u146) )).
% 62.89/63.08 cnf(pre_order-12, axiom, ( pre_order(_u148, _u146) | ~apply(_u148, skolem17(_u148, _u146), skolem17(_u148, _u146)) | apply(_u148, skolem18(_u148, _u146), skolem19(_u148, _u146)) )).
% 62.89/63.08 cnf(pre_order-13, axiom, ( pre_order(_u148, _u146) | ~apply(_u148, skolem17(_u148, _u146), skolem17(_u148, _u146)) | apply(_u148, skolem19(_u148, _u146), skolem20(_u148, _u146)) )).
% 62.89/63.08 cnf(pre_order-14, axiom, ( pre_order(_u148, _u146) | ~apply(_u148, skolem17(_u148, _u146), skolem17(_u148, _u146)) | ~apply(_u148, skolem18(_u148, _u146), skolem20(_u148, _u146)) )).
% 62.89/63.08
% 62.89/63.08 % Formula: thIII12 ( conjecture ) converted to clauses:
% 62.89/63.08 cnf(thIII12-1, negated_conjecture, ( pre_order(skolem22, skolem21) )).
% 62.89/63.08 cnf(thIII12-2, negated_conjecture, ( ~member(_u150, skolem21) | ~member(_u149, skolem21) | ~apply(skolem23, _u150, _u149) | apply(skolem22, _u150, _u149) )).
% 62.89/63.08 cnf(thIII12-3, negated_conjecture, ( ~member(_u150, skolem21) | ~member(_u149, skolem21) | ~apply(skolem23, _u150, _u149) | apply(skolem22, _u149, _u150) )).
% 62.89/63.08 cnf(thIII12-4, negated_conjecture, ( ~member(_u150, skolem21) | ~member(_u149, skolem21) | ~apply(skolem22, _u150, _u149) | ~apply(skolem22, _u149, _u150) | apply(skolem23, _u150, _u149) )).
% 62.89/63.08 cnf(thIII12-5, negated_conjecture, ( member(skolem24, skolem21) )).
% 62.89/63.08 cnf(thIII12-6, negated_conjecture, ( member(skolem25, skolem21) )).
% 62.89/63.08 cnf(thIII12-7, negated_conjecture, ( member(skolem26, skolem21) )).
% 62.89/63.08 cnf(thIII12-8, negated_conjecture, ( member(skolem27, skolem21) )).
% 62.89/63.08 cnf(thIII12-9, negated_conjecture, ( apply(skolem23, skolem24, skolem26) )).
% 62.89/63.08 cnf(thIII12-10, negated_conjecture, ( apply(skolem23, skolem25, skolem27) )).
% 62.89/63.08 cnf(thIII12-11, negated_conjecture, ( apply(skolem22, skolem24, skolem25) )).
% 62.89/63.08 cnf(thIII12-12, negated_conjecture, ( ~apply(skolem22, skolem26, skolem27) )).
% 62.89/63.08
% 62.89/63.08 % Problem matrix:
% 62.89/63.08 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 62.89/63.08 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 62.89/63.08 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 62.89/63.08 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( power_set(__eqx_0) = power_set(__eqy_0)) )).
% 62.89/63.08 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( intersection(__eqx_0, __eqx_1) = intersection(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( union(__eqx_0, __eqx_1) = union(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( difference(__eqx_0, __eqx_1) = difference(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 62.89/63.08 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( unordered_pair(__eqx_0, __eqx_1) = unordered_pair(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( sum(__eqx_0) = sum(__eqy_0)) )).
% 62.89/63.08 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( product(__eqx_0) = product(__eqy_0)) )).
% 62.89/63.08 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( equivalence_class(__eqx_0, __eqx_1, __eqx_2) = equivalence_class(__eqy_0, __eqy_1, __eqy_2)) )).
% 62.89/63.08 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-16, 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)) )).
% 62.89/63.08 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem6(__eqx_0, __eqx_1) = skolem6(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem7(__eqx_0, __eqx_1) = skolem7(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem9(__eqx_0, __eqx_1) = skolem9(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem11(__eqx_0, __eqx_1) = skolem11(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem12(__eqx_0, __eqx_1) = skolem12(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem13(__eqx_0, __eqx_1) = skolem13(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem14(__eqx_0, __eqx_1) = skolem14(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem15(__eqx_0, __eqx_1) = skolem15(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem16(__eqx_0, __eqx_1) = skolem16(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem17(__eqx_0, __eqx_1) = skolem17(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem18(__eqx_0, __eqx_1) = skolem18(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem19(__eqx_0, __eqx_1) = skolem19(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem20(__eqx_0, __eqx_1) = skolem20(__eqy_0, __eqy_1)) )).
% 62.89/63.08 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 62.89/63.08 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 62.89/63.08 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~equal_set(__eqx_0, __eqx_1) | equal_set(__eqy_0, __eqy_1) )).
% 62.89/63.08 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~disjoint(__eqx_0, __eqx_1) | disjoint(__eqy_0, __eqy_1) )).
% 62.89/63.08 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~partition(__eqx_0, __eqx_1) | partition(__eqy_0, __eqy_1) )).
% 62.89/63.08 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~equivalence(__eqx_0, __eqx_1) | equivalence(__eqy_0, __eqy_1) )).
% 62.89/63.08 cnf(matrix-38, 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) )).
% 62.89/63.08 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~pre_order(__eqx_0, __eqx_1) | pre_order(__eqy_0, __eqy_1) )).
% 62.89/63.08 cnf(matrix-40, plain, ( ~subset(_u6, _u4) | ~member(_u0, _u6) | member(_u0, _u4) )).
% 62.89/63.08 cnf(matrix-41, plain, ( subset(_u7, _u5) | member(skolem1(_u7, _u5), _u7) )).
% 62.89/63.08 cnf(matrix-42, plain, ( subset(_u7, _u5) | ~member(skolem1(_u7, _u5), _u5) )).
% 62.89/63.08 cnf(matrix-43, plain, ( ~equal_set(_u12, _u10) | subset(_u12, _u10) )).
% 62.89/63.08 cnf(matrix-44, plain, ( ~equal_set(_u12, _u10) | subset(_u10, _u12) )).
% 62.89/63.08 cnf(matrix-45, plain, ( ~subset(_u13, _u11) | ~subset(_u11, _u13) | equal_set(_u13, _u11) )).
% 62.89/63.08 cnf(matrix-46, plain, ( ~member(_u18, power_set(_u16)) | subset(_u18, _u16) )).
% 62.89/63.08 cnf(matrix-47, plain, ( ~subset(_u19, _u17) | member(_u19, power_set(_u17)) )).
% 62.89/63.08 cnf(matrix-48, plain, ( ~member(_u27, intersection(_u25, _u23)) | member(_u27, _u25) )).
% 62.89/63.08 cnf(matrix-49, plain, ( ~member(_u27, intersection(_u25, _u23)) | member(_u27, _u23) )).
% 62.89/63.08 cnf(matrix-50, plain, ( ~member(_u28, _u26) | ~member(_u28, _u24) | member(_u28, intersection(_u26, _u24)) )).
% 62.89/63.08 cnf(matrix-51, plain, ( ~member(_u36, union(_u34, _u32)) | member(_u36, _u34) | member(_u36, _u32) )).
% 62.89/63.08 cnf(matrix-52, plain, ( member(_u37, union(_u35, _u33)) | ~member(_u37, _u35) )).
% 62.89/63.08 cnf(matrix-53, plain, ( member(_u37, union(_u35, _u33)) | ~member(_u37, _u33) )).
% 62.89/63.08 cnf(matrix-54, plain, ( ~member(_u38, empty_set) )).
% 62.89/63.08 cnf(matrix-55, plain, ( ~member(_u46, difference(_u42, _u44)) | member(_u46, _u42) )).
% 62.89/63.08 cnf(matrix-56, plain, ( ~member(_u46, difference(_u42, _u44)) | ~member(_u46, _u44) )).
% 62.89/63.08 cnf(matrix-57, plain, ( ~member(_u47, _u43) | member(_u47, _u45) | member(_u47, difference(_u43, _u45)) )).
% 62.89/63.08 cnf(matrix-58, plain, ( ~member(_u52, singleton(_u50)) | ( _u52 = _u50) )).
% 62.89/63.08 cnf(matrix-59, plain, ( ( _u53 != _u51) | member(_u53, singleton(_u51)) )).
% 62.89/63.08 cnf(matrix-60, plain, ( ~member(_u61, unordered_pair(_u59, _u57)) | ( _u61 = _u59) | ( _u61 = _u57) )).
% 62.89/63.08 cnf(matrix-61, plain, ( member(_u62, unordered_pair(_u60, _u58)) | ( _u62 != _u60) )).
% 62.89/63.08 cnf(matrix-62, plain, ( member(_u62, unordered_pair(_u60, _u58)) | ( _u62 != _u58) )).
% 62.89/63.08 cnf(matrix-63, plain, ( ~member(_u69, sum(_u67)) | member(skolem2(_u69, _u67), _u67) )).
% 62.89/63.08 cnf(matrix-64, plain, ( ~member(_u69, sum(_u67)) | member(_u69, skolem2(_u69, _u67)) )).
% 62.89/63.08 cnf(matrix-65, plain, ( ~member(_u64, _u68) | ~member(_u70, _u64) | member(_u70, sum(_u68)) )).
% 62.89/63.08 cnf(matrix-66, plain, ( ~member(_u77, product(_u75)) | ~member(_u71, _u75) | member(_u77, _u71) )).
% 62.89/63.08 cnf(matrix-67, plain, ( member(_u78, product(_u76)) | member(skolem3(_u78, _u76), _u76) )).
% 62.89/63.08 cnf(matrix-68, plain, ( member(_u78, product(_u76)) | ~member(_u78, skolem3(_u78, _u76)) )).
% 62.89/63.08 cnf(matrix-69, plain, ( ~disjoint(_u85, _u83) | ~member(_u79, _u85) | ~member(_u79, _u83) )).
% 62.89/63.08 cnf(matrix-70, plain, ( disjoint(_u86, _u84) | member(skolem4(_u86, _u84), _u86) )).
% 62.89/63.08 cnf(matrix-71, plain, ( disjoint(_u86, _u84) | member(skolem4(_u86, _u84), _u84) )).
% 62.89/63.08 cnf(matrix-72, plain, ( ~partition(_u103, _u101) | ~member(_u87, _u103) | subset(_u87, _u101) )).
% 62.89/63.08 cnf(matrix-73, plain, ( ~partition(_u103, _u101) | ~member(_u89, _u101) | member(skolem5(_u103, _u101, _u89), _u103) )).
% 62.89/63.08 cnf(matrix-74, plain, ( ~partition(_u103, _u101) | ~member(_u89, _u101) | member(_u89, skolem5(_u103, _u101, _u89)) )).
% 62.89/63.08 cnf(matrix-75, plain, ( ~partition(_u103, _u101) | ~member(_u92, _u103) | ~member(_u91, _u103) | ~member(_u90, _u92) | ~member(_u90, _u91) | ( _u92 = _u91) )).
% 62.89/63.08 cnf(matrix-76, plain, ( partition(_u104, _u102) | member(skolem8(_u104, _u102), _u104) | member(skolem6(_u104, _u102), _u104) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(matrix-77, plain, ( partition(_u104, _u102) | member(skolem8(_u104, _u102), _u104) | member(skolem6(_u104, _u102), _u104) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(matrix-78, plain, ( partition(_u104, _u102) | member(skolem9(_u104, _u102), _u104) | member(skolem6(_u104, _u102), _u104) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(matrix-79, plain, ( partition(_u104, _u102) | member(skolem9(_u104, _u102), _u104) | member(skolem6(_u104, _u102), _u104) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(matrix-80, plain, ( partition(_u104, _u102) | member(skolem8(_u104, _u102), _u104) | ~subset(skolem6(_u104, _u102), _u102) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(matrix-81, plain, ( partition(_u104, _u102) | member(skolem8(_u104, _u102), _u104) | ~subset(skolem6(_u104, _u102), _u102) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(matrix-82, plain, ( partition(_u104, _u102) | member(skolem9(_u104, _u102), _u104) | ~subset(skolem6(_u104, _u102), _u102) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(matrix-83, plain, ( partition(_u104, _u102) | member(skolem9(_u104, _u102), _u104) | ~subset(skolem6(_u104, _u102), _u102) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(matrix-84, plain, ( partition(_u104, _u102) | member(skolem10(_u104, _u102), skolem8(_u104, _u102)) | member(skolem6(_u104, _u102), _u104) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(matrix-85, plain, ( partition(_u104, _u102) | member(skolem10(_u104, _u102), skolem8(_u104, _u102)) | member(skolem6(_u104, _u102), _u104) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(matrix-86, plain, ( partition(_u104, _u102) | member(skolem10(_u104, _u102), skolem9(_u104, _u102)) | member(skolem6(_u104, _u102), _u104) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(matrix-87, plain, ( partition(_u104, _u102) | member(skolem10(_u104, _u102), skolem9(_u104, _u102)) | member(skolem6(_u104, _u102), _u104) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(matrix-88, plain, ( partition(_u104, _u102) | ( skolem8(_u104, _u102) != skolem9(_u104, _u102)) | member(skolem6(_u104, _u102), _u104) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(matrix-89, plain, ( partition(_u104, _u102) | ( skolem8(_u104, _u102) != skolem9(_u104, _u102)) | member(skolem6(_u104, _u102), _u104) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(matrix-90, plain, ( partition(_u104, _u102) | member(skolem10(_u104, _u102), skolem8(_u104, _u102)) | ~subset(skolem6(_u104, _u102), _u102) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(matrix-91, plain, ( partition(_u104, _u102) | member(skolem10(_u104, _u102), skolem8(_u104, _u102)) | ~subset(skolem6(_u104, _u102), _u102) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(matrix-92, plain, ( partition(_u104, _u102) | member(skolem10(_u104, _u102), skolem9(_u104, _u102)) | ~subset(skolem6(_u104, _u102), _u102) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(matrix-93, plain, ( partition(_u104, _u102) | member(skolem10(_u104, _u102), skolem9(_u104, _u102)) | ~subset(skolem6(_u104, _u102), _u102) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(matrix-94, plain, ( partition(_u104, _u102) | ( skolem8(_u104, _u102) != skolem9(_u104, _u102)) | ~subset(skolem6(_u104, _u102), _u102) | member(skolem7(_u104, _u102), _u102) )).
% 62.89/63.08 cnf(matrix-95, plain, ( partition(_u104, _u102) | ( skolem8(_u104, _u102) != skolem9(_u104, _u102)) | ~subset(skolem6(_u104, _u102), _u102) | ~member(_u94, _u104) | ~member(skolem7(_u104, _u102), _u94) )).
% 62.89/63.08 cnf(matrix-96, plain, ( ~equivalence(_u119, _u121) | ~member(_u105, _u121) | apply(_u119, _u105, _u105) )).
% 62.89/63.08 cnf(matrix-97, plain, ( ~equivalence(_u119, _u121) | ~member(_u107, _u121) | ~member(_u106, _u121) | ~apply(_u119, _u107, _u106) | apply(_u119, _u106, _u107) )).
% 62.89/63.08 cnf(matrix-98, plain, ( ~equivalence(_u119, _u121) | ~member(_u110, _u121) | ~member(_u109, _u121) | ~member(_u108, _u121) | ~apply(_u119, _u110, _u109) | ~apply(_u119, _u109, _u108) | apply(_u119, _u110, _u108) )).
% 62.89/63.08 cnf(matrix-99, plain, ( equivalence(_u120, _u122) | member(skolem14(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-100, plain, ( equivalence(_u120, _u122) | member(skolem14(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-101, plain, ( equivalence(_u120, _u122) | member(skolem14(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-102, plain, ( equivalence(_u120, _u122) | member(skolem14(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-103, plain, ( equivalence(_u120, _u122) | member(skolem15(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-104, plain, ( equivalence(_u120, _u122) | member(skolem15(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-105, plain, ( equivalence(_u120, _u122) | member(skolem15(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-106, plain, ( equivalence(_u120, _u122) | member(skolem15(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-107, plain, ( equivalence(_u120, _u122) | member(skolem16(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-108, plain, ( equivalence(_u120, _u122) | member(skolem16(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-109, plain, ( equivalence(_u120, _u122) | member(skolem16(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-110, plain, ( equivalence(_u120, _u122) | member(skolem16(_u122, _u120), _u122) | member(skolem11(_u122, _u120), _u122) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-111, plain, ( equivalence(_u120, _u122) | member(skolem14(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-112, plain, ( equivalence(_u120, _u122) | member(skolem14(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-113, plain, ( equivalence(_u120, _u122) | member(skolem14(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-114, plain, ( equivalence(_u120, _u122) | member(skolem14(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-115, plain, ( equivalence(_u120, _u122) | member(skolem15(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-116, plain, ( equivalence(_u120, _u122) | member(skolem15(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-117, plain, ( equivalence(_u120, _u122) | member(skolem15(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-118, plain, ( equivalence(_u120, _u122) | member(skolem15(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-119, plain, ( equivalence(_u120, _u122) | member(skolem16(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-120, plain, ( equivalence(_u120, _u122) | member(skolem16(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-121, plain, ( equivalence(_u120, _u122) | member(skolem16(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-122, plain, ( equivalence(_u120, _u122) | member(skolem16(_u122, _u120), _u122) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-123, plain, ( equivalence(_u120, _u122) | apply(_u120, skolem14(_u122, _u120), skolem15(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-124, plain, ( equivalence(_u120, _u122) | apply(_u120, skolem14(_u122, _u120), skolem15(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-125, plain, ( equivalence(_u120, _u122) | apply(_u120, skolem14(_u122, _u120), skolem15(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-126, plain, ( equivalence(_u120, _u122) | apply(_u120, skolem14(_u122, _u120), skolem15(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-127, plain, ( equivalence(_u120, _u122) | apply(_u120, skolem15(_u122, _u120), skolem16(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-128, plain, ( equivalence(_u120, _u122) | apply(_u120, skolem15(_u122, _u120), skolem16(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-129, plain, ( equivalence(_u120, _u122) | apply(_u120, skolem15(_u122, _u120), skolem16(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-130, plain, ( equivalence(_u120, _u122) | apply(_u120, skolem15(_u122, _u120), skolem16(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-131, plain, ( equivalence(_u120, _u122) | ~apply(_u120, skolem14(_u122, _u120), skolem16(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-132, plain, ( equivalence(_u120, _u122) | ~apply(_u120, skolem14(_u122, _u120), skolem16(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-133, plain, ( equivalence(_u120, _u122) | ~apply(_u120, skolem14(_u122, _u120), skolem16(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-134, plain, ( equivalence(_u120, _u122) | ~apply(_u120, skolem14(_u122, _u120), skolem16(_u122, _u120)) | member(skolem11(_u122, _u120), _u122) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-135, plain, ( equivalence(_u120, _u122) | apply(_u120, skolem14(_u122, _u120), skolem15(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-136, plain, ( equivalence(_u120, _u122) | apply(_u120, skolem14(_u122, _u120), skolem15(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-137, plain, ( equivalence(_u120, _u122) | apply(_u120, skolem14(_u122, _u120), skolem15(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-138, plain, ( equivalence(_u120, _u122) | apply(_u120, skolem14(_u122, _u120), skolem15(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-139, plain, ( equivalence(_u120, _u122) | apply(_u120, skolem15(_u122, _u120), skolem16(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-140, plain, ( equivalence(_u120, _u122) | apply(_u120, skolem15(_u122, _u120), skolem16(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-141, plain, ( equivalence(_u120, _u122) | apply(_u120, skolem15(_u122, _u120), skolem16(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-142, plain, ( equivalence(_u120, _u122) | apply(_u120, skolem15(_u122, _u120), skolem16(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-143, plain, ( equivalence(_u120, _u122) | ~apply(_u120, skolem14(_u122, _u120), skolem16(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem12(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-144, plain, ( equivalence(_u120, _u122) | ~apply(_u120, skolem14(_u122, _u120), skolem16(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | member(skolem13(_u122, _u120), _u122) )).
% 62.89/63.08 cnf(matrix-145, plain, ( equivalence(_u120, _u122) | ~apply(_u120, skolem14(_u122, _u120), skolem16(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | apply(_u120, skolem12(_u122, _u120), skolem13(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-146, plain, ( equivalence(_u120, _u122) | ~apply(_u120, skolem14(_u122, _u120), skolem16(_u122, _u120)) | ~apply(_u120, skolem11(_u122, _u120), skolem11(_u122, _u120)) | ~apply(_u120, skolem13(_u122, _u120), skolem12(_u122, _u120)) )).
% 62.89/63.08 cnf(matrix-147, plain, ( ~member(_u127, equivalence_class(_u129, _u131, _u133)) | member(_u127, _u131) )).
% 62.89/63.08 cnf(matrix-148, plain, ( ~member(_u127, equivalence_class(_u129, _u131, _u133)) | apply(_u133, _u129, _u127) )).
% 62.89/63.08 cnf(matrix-149, plain, ( ~member(_u128, _u132) | ~apply(_u134, _u130, _u128) | member(_u128, equivalence_class(_u130, _u132, _u134)) )).
% 62.89/63.08 cnf(matrix-150, plain, ( ~pre_order(_u147, _u145) | ~member(_u135, _u145) | apply(_u147, _u135, _u135) )).
% 62.89/63.08 cnf(matrix-151, plain, ( ~pre_order(_u147, _u145) | ~member(_u138, _u145) | ~member(_u137, _u145) | ~member(_u136, _u145) | ~apply(_u147, _u138, _u137) | ~apply(_u147, _u137, _u136) | apply(_u147, _u138, _u136) )).
% 62.89/63.08 cnf(matrix-152, plain, ( pre_order(_u148, _u146) | member(skolem17(_u148, _u146), _u146) | member(skolem18(_u148, _u146), _u146) )).
% 62.89/63.08 cnf(matrix-153, plain, ( pre_order(_u148, _u146) | member(skolem17(_u148, _u146), _u146) | member(skolem19(_u148, _u146), _u146) )).
% 62.89/63.08 cnf(matrix-154, plain, ( pre_order(_u148, _u146) | member(skolem17(_u148, _u146), _u146) | member(skolem20(_u148, _u146), _u146) )).
% 62.89/63.08 cnf(matrix-155, plain, ( pre_order(_u148, _u146) | member(skolem17(_u148, _u146), _u146) | apply(_u148, skolem18(_u148, _u146), skolem19(_u148, _u146)) )).
% 62.89/63.08 cnf(matrix-156, plain, ( pre_order(_u148, _u146) | member(skolem17(_u148, _u146), _u146) | apply(_u148, skolem19(_u148, _u146), skolem20(_u148, _u146)) )).
% 62.89/63.08 cnf(matrix-157, plain, ( pre_order(_u148, _u146) | member(skolem17(_u148, _u146), _u146) | ~apply(_u148, skolem18(_u148, _u146), skolem20(_u148, _u146)) )).
% 62.89/63.08 cnf(matrix-158, plain, ( pre_order(_u148, _u146) | ~apply(_u148, skolem17(_u148, _u146), skolem17(_u148, _u146)) | member(skolem18(_u148, _u146), _u146) )).
% 62.89/63.08 cnf(matrix-159, plain, ( pre_order(_u148, _u146) | ~apply(_u148, skolem17(_u148, _u146), skolem17(_u148, _u146)) | member(skolem19(_u148, _u146), _u146) )).
% 62.89/63.08 cnf(matrix-160, plain, ( pre_order(_u148, _u146) | ~apply(_u148, skolem17(_u148, _u146), skolem17(_u148, _u146)) | member(skolem20(_u148, _u146), _u146) )).
% 62.89/63.08 cnf(matrix-161, plain, ( pre_order(_u148, _u146) | ~apply(_u148, skolem17(_u148, _u146), skolem17(_u148, _u146)) | apply(_u148, skolem18(_u148, _u146), skolem19(_u148, _u146)) )).
% 62.89/63.08 cnf(matrix-162, plain, ( pre_order(_u148, _u146) | ~apply(_u148, skolem17(_u148, _u146), skolem17(_u148, _u146)) | apply(_u148, skolem19(_u148, _u146), skolem20(_u148, _u146)) )).
% 62.89/63.08 cnf(matrix-163, plain, ( pre_order(_u148, _u146) | ~apply(_u148, skolem17(_u148, _u146), skolem17(_u148, _u146)) | ~apply(_u148, skolem18(_u148, _u146), skolem20(_u148, _u146)) )).
% 62.89/63.08 cnf(matrix-164, plain, ( pre_order(skolem22, skolem21) )).
% 62.89/63.08 cnf(matrix-165, plain, ( ~member(_u150, skolem21) | ~member(_u149, skolem21) | ~apply(skolem23, _u150, _u149) | apply(skolem22, _u150, _u149) )).
% 62.89/63.08 cnf(matrix-166, plain, ( ~member(_u150, skolem21) | ~member(_u149, skolem21) | ~apply(skolem23, _u150, _u149) | apply(skolem22, _u149, _u150) )).
% 62.89/63.08 cnf(matrix-167, plain, ( ~member(_u150, skolem21) | ~member(_u149, skolem21) | ~apply(skolem22, _u150, _u149) | ~apply(skolem22, _u149, _u150) | apply(skolem23, _u150, _u149) )).
% 62.89/63.08 cnf(matrix-168, plain, ( member(skolem24, skolem21) )).
% 62.89/63.08 cnf(matrix-169, plain, ( member(skolem25, skolem21) )).
% 62.89/63.08 cnf(matrix-170, plain, ( member(skolem26, skolem21) )).
% 62.89/63.08 cnf(matrix-171, plain, ( member(skolem27, skolem21) )).
% 62.89/63.08 cnf(matrix-172, plain, ( apply(skolem23, skolem24, skolem26) )).
% 62.89/63.08 cnf(matrix-173, plain, ( apply(skolem23, skolem25, skolem27) )).
% 62.89/63.08 cnf(matrix-174, plain, ( apply(skolem22, skolem24, skolem25) )).
% 62.89/63.08 cnf(matrix-175, plain, ( ~apply(skolem22, skolem26, skolem27) )).
% 62.93/63.08
% 62.93/63.08 % Proof stack:
% 62.93/63.08 cnf(proof-stack, plain,
% 62.93/63.08 proof_stack(
% 62.93/63.08 start(168),
% 62.93/63.08 left_branch(0, 151, 2, 2),
% 62.93/63.08 left_branch(0, 164, 0, 3),
% 62.93/63.08 right_branch(3),
% 62.93/63.08 left_branch(0, 174, 0, 4),
% 62.93/63.08 right_branch(4),
% 62.93/63.08 left_branch(0, 166, 3, 5),
% 62.93/63.08 reduction(0, 0),
% 62.93/63.08 left_branch(0, 172, 0, 7),
% 62.93/63.08 right_branch(7),
% 62.93/63.08 left_branch(0, 170, 0, 8),
% 62.93/63.08 right_branch(8),
% 62.93/63.08 right_branch(5),
% 62.93/63.08 left_branch(0, 169, 0, 6),
% 62.93/63.08 right_branch(6),
% 62.93/63.08 left_branch(0, 151, 4, 7),
% 62.93/63.08 left_branch(0, 164, 0, 8),
% 62.93/63.08 right_branch(8),
% 62.93/63.08 left_branch(0, 165, 3, 9),
% 62.93/63.08 lemmata(0, 3),
% 62.93/63.08 left_branch(0, 173, 0, 11),
% 62.93/63.08 right_branch(11),
% 62.93/63.08 left_branch(0, 171, 0, 12),
% 62.93/63.08 right_branch(12),
% 62.93/63.08 right_branch(9),
% 62.93/63.08 left_branch(0, 175, 0, 10),
% 62.93/63.08 right_branch(10),
% 62.93/63.08 left_branch(0, 171, 0, 11),
% 62.93/63.08 right_branch(11),
% 62.93/63.08 lemmata(0, 3),
% 62.93/63.08 left_branch(0, 170, 0, 13),
% 62.93/63.08 right_branch(13),
% 62.93/63.08 right_branch(7),
% 62.93/63.08 left_branch(0, 170, 0, 8),
% 62.93/63.08 right_branch(8),
% 62.93/63.08 right_branch(2)
% 62.93/63.08 )).
% 62.93/63.08 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------