TSTP Solution File: SET800+4 by ConnectPP---0.2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SET800+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n027.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 09:19:44 EST 2024
% Result : Theorem 30.87s 31.09s
% Output : Proof 30.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET800+4 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Mar 3 19:19:12 EST 2024
% 0.13/0.35 % CPUTime :
% 30.87/31.09 % SZS status Theorem for theBenchmark
% 30.87/31.09 % SZS output start Proof for theBenchmark
% 30.87/31.09
% 30.87/31.09 % Formula: subset ( axiom ) converted to clauses:
% 30.87/31.09 cnf(subset-1, axiom, ( ~subset(_u6, _u4) | ~member(_u0, _u6) | member(_u0, _u4) )).
% 30.87/31.09 cnf(subset-2, axiom, ( subset(_u7, _u5) | member(skolem1(_u7, _u5), _u7) )).
% 30.87/31.09 cnf(subset-3, axiom, ( subset(_u7, _u5) | ~member(skolem1(_u7, _u5), _u5) )).
% 30.87/31.09
% 30.87/31.09 % Formula: equal_set ( axiom ) converted to clauses:
% 30.87/31.09 cnf(equal_set-1, axiom, ( ~equal_set(_u12, _u10) | subset(_u12, _u10) )).
% 30.87/31.09 cnf(equal_set-2, axiom, ( ~equal_set(_u12, _u10) | subset(_u10, _u12) )).
% 30.87/31.09 cnf(equal_set-3, axiom, ( ~subset(_u13, _u11) | ~subset(_u11, _u13) | equal_set(_u13, _u11) )).
% 30.87/31.09
% 30.87/31.09 % Formula: power_set ( axiom ) converted to clauses:
% 30.87/31.09 cnf(power_set-1, axiom, ( ~member(_u18, power_set(_u16)) | subset(_u18, _u16) )).
% 30.87/31.09 cnf(power_set-2, axiom, ( ~subset(_u19, _u17) | member(_u19, power_set(_u17)) )).
% 30.87/31.09
% 30.87/31.09 % Formula: intersection ( axiom ) converted to clauses:
% 30.87/31.09 cnf(intersection-1, axiom, ( ~member(_u27, intersection(_u25, _u23)) | member(_u27, _u25) )).
% 30.87/31.09 cnf(intersection-2, axiom, ( ~member(_u27, intersection(_u25, _u23)) | member(_u27, _u23) )).
% 30.87/31.09 cnf(intersection-3, axiom, ( ~member(_u28, _u26) | ~member(_u28, _u24) | member(_u28, intersection(_u26, _u24)) )).
% 30.87/31.09
% 30.87/31.09 % Formula: union ( axiom ) converted to clauses:
% 30.87/31.09 cnf(union-1, axiom, ( ~member(_u36, union(_u34, _u32)) | member(_u36, _u34) | member(_u36, _u32) )).
% 30.87/31.09 cnf(union-2, axiom, ( member(_u37, union(_u35, _u33)) | ~member(_u37, _u35) )).
% 30.87/31.09 cnf(union-3, axiom, ( member(_u37, union(_u35, _u33)) | ~member(_u37, _u33) )).
% 30.87/31.09
% 30.87/31.09 % Formula: empty_set ( axiom ) converted to clauses:
% 30.87/31.09 cnf(empty_set-1, axiom, ( ~member(_u38, empty_set) )).
% 30.87/31.09
% 30.87/31.09 % Formula: difference ( axiom ) converted to clauses:
% 30.87/31.09 cnf(difference-1, axiom, ( ~member(_u46, difference(_u42, _u44)) | member(_u46, _u42) )).
% 30.87/31.09 cnf(difference-2, axiom, ( ~member(_u46, difference(_u42, _u44)) | ~member(_u46, _u44) )).
% 30.87/31.09 cnf(difference-3, axiom, ( ~member(_u47, _u43) | member(_u47, _u45) | member(_u47, difference(_u43, _u45)) )).
% 30.87/31.09
% 30.87/31.09 % Formula: singleton ( axiom ) converted to clauses:
% 30.87/31.09 cnf(singleton-1, axiom, ( ~member(_u52, singleton(_u50)) | ( _u52 = _u50) )).
% 30.87/31.09 cnf(singleton-2, axiom, ( ( _u53 != _u51) | member(_u53, singleton(_u51)) )).
% 30.87/31.09
% 30.87/31.09 % Formula: unordered_pair ( axiom ) converted to clauses:
% 30.87/31.09 cnf(unordered_pair-1, axiom, ( ~member(_u61, unordered_pair(_u59, _u57)) | ( _u61 = _u59) | ( _u61 = _u57) )).
% 30.87/31.09 cnf(unordered_pair-2, axiom, ( member(_u62, unordered_pair(_u60, _u58)) | ( _u62 != _u60) )).
% 30.87/31.09 cnf(unordered_pair-3, axiom, ( member(_u62, unordered_pair(_u60, _u58)) | ( _u62 != _u58) )).
% 30.87/31.09
% 30.87/31.09 % Formula: sum ( axiom ) converted to clauses:
% 30.87/31.09 cnf(sum-1, axiom, ( ~member(_u69, sum(_u67)) | member(skolem2(_u69, _u67), _u67) )).
% 30.87/31.09 cnf(sum-2, axiom, ( ~member(_u69, sum(_u67)) | member(_u69, skolem2(_u69, _u67)) )).
% 30.87/31.09 cnf(sum-3, axiom, ( ~member(_u64, _u68) | ~member(_u70, _u64) | member(_u70, sum(_u68)) )).
% 30.87/31.09
% 30.87/31.09 % Formula: product ( axiom ) converted to clauses:
% 30.87/31.09 cnf(product-1, axiom, ( ~member(_u77, product(_u75)) | ~member(_u71, _u75) | member(_u77, _u71) )).
% 30.87/31.09 cnf(product-2, axiom, ( member(_u78, product(_u76)) | member(skolem3(_u78, _u76), _u76) )).
% 30.87/31.09 cnf(product-3, axiom, ( member(_u78, product(_u76)) | ~member(_u78, skolem3(_u78, _u76)) )).
% 30.87/31.09
% 30.87/31.09 % Formula: order ( axiom ) converted to clauses:
% 30.87/31.09 cnf(order-1, axiom, ( ~order(_u95, _u93) | ~member(_u79, _u93) | apply(_u95, _u79, _u79) )).
% 30.87/31.09 cnf(order-2, axiom, ( ~order(_u95, _u93) | ~member(_u81, _u93) | ~member(_u80, _u93) | ~apply(_u95, _u81, _u80) | ~apply(_u95, _u80, _u81) | ( _u81 = _u80) )).
% 30.87/31.09 cnf(order-3, axiom, ( ~order(_u95, _u93) | ~member(_u84, _u93) | ~member(_u83, _u93) | ~member(_u82, _u93) | ~apply(_u95, _u84, _u83) | ~apply(_u95, _u83, _u82) | apply(_u95, _u84, _u82) )).
% 30.87/31.09 cnf(order-4, axiom, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-5, axiom, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-6, axiom, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-7, axiom, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(order-8, axiom, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-9, axiom, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-10, axiom, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-11, axiom, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-12, axiom, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(order-13, axiom, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-14, axiom, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-15, axiom, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-16, axiom, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-17, axiom, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(order-18, axiom, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-19, axiom, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-20, axiom, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-21, axiom, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-22, axiom, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(order-23, axiom, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-24, axiom, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-25, axiom, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-26, axiom, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-27, axiom, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(order-28, axiom, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-29, axiom, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-30, axiom, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-31, axiom, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-32, axiom, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(order-33, axiom, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-34, axiom, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-35, axiom, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-36, axiom, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-37, axiom, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(order-38, axiom, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-39, axiom, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-40, axiom, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-41, axiom, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-42, axiom, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(order-43, axiom, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-44, axiom, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-45, axiom, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-46, axiom, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-47, axiom, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(order-48, axiom, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-49, axiom, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-50, axiom, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-51, axiom, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-52, axiom, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(order-53, axiom, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-54, axiom, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-55, axiom, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-56, axiom, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-57, axiom, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(order-58, axiom, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-59, axiom, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-60, axiom, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(order-61, axiom, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(order-62, axiom, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(order-63, axiom, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09
% 30.87/31.09 % Formula: total_order ( axiom ) converted to clauses:
% 30.87/31.09 cnf(total_order-1, axiom, ( ~total_order(_u105, _u103) | order(_u105, _u103) )).
% 30.87/31.09 cnf(total_order-2, axiom, ( ~total_order(_u105, _u103) | ~member(_u98, _u103) | ~member(_u97, _u103) | apply(_u105, _u98, _u97) | apply(_u105, _u97, _u98) )).
% 30.87/31.09 cnf(total_order-3, axiom, ( total_order(_u106, _u104) | ~order(_u106, _u104) | member(skolem10(_u106, _u104), _u104) )).
% 30.87/31.09 cnf(total_order-4, axiom, ( total_order(_u106, _u104) | ~order(_u106, _u104) | member(skolem11(_u106, _u104), _u104) )).
% 30.87/31.09 cnf(total_order-5, axiom, ( total_order(_u106, _u104) | ~order(_u106, _u104) | ~apply(_u106, skolem10(_u106, _u104), skolem11(_u106, _u104)) )).
% 30.87/31.09 cnf(total_order-6, axiom, ( total_order(_u106, _u104) | ~order(_u106, _u104) | ~apply(_u106, skolem11(_u106, _u104), skolem10(_u106, _u104)) )).
% 30.87/31.09
% 30.87/31.09 % Formula: upper_bound ( axiom ) converted to clauses:
% 30.87/31.09 cnf(upper_bound-1, axiom, ( ~upper_bound(_u112, _u116, _u114) | ~member(_u107, _u114) | apply(_u116, _u107, _u112) )).
% 30.87/31.09 cnf(upper_bound-2, axiom, ( upper_bound(_u113, _u117, _u115) | member(skolem12(_u117, _u115, _u113), _u115) )).
% 30.87/31.09 cnf(upper_bound-3, axiom, ( upper_bound(_u113, _u117, _u115) | ~apply(_u117, skolem12(_u117, _u115, _u113), _u113) )).
% 30.87/31.09
% 30.87/31.09 % Formula: lower_bound ( axiom ) converted to clauses:
% 30.87/31.09 cnf(lower_bound-1, axiom, ( ~lower_bound(_u123, _u127, _u125) | ~member(_u118, _u125) | apply(_u127, _u123, _u118) )).
% 30.87/31.09 cnf(lower_bound-2, axiom, ( lower_bound(_u124, _u128, _u126) | member(skolem13(_u128, _u126, _u124), _u126) )).
% 30.87/31.09 cnf(lower_bound-3, axiom, ( lower_bound(_u124, _u128, _u126) | ~apply(_u128, _u124, skolem13(_u128, _u126, _u124)) )).
% 30.87/31.09
% 30.87/31.09 % Formula: greatest ( axiom ) converted to clauses:
% 30.87/31.09 cnf(greatest-1, axiom, ( ~greatest(_u134, _u138, _u136) | member(_u134, _u136) )).
% 30.87/31.09 cnf(greatest-2, axiom, ( ~greatest(_u134, _u138, _u136) | ~member(_u129, _u136) | apply(_u138, _u129, _u134) )).
% 30.87/31.09 cnf(greatest-3, axiom, ( greatest(_u135, _u139, _u137) | ~member(_u135, _u137) | member(skolem14(_u139, _u137, _u135), _u137) )).
% 30.87/31.09 cnf(greatest-4, axiom, ( greatest(_u135, _u139, _u137) | ~member(_u135, _u137) | ~apply(_u139, skolem14(_u139, _u137, _u135), _u135) )).
% 30.87/31.09
% 30.87/31.09 % Formula: least ( axiom ) converted to clauses:
% 30.87/31.09 cnf(least-1, axiom, ( ~least(_u145, _u149, _u147) | member(_u145, _u147) )).
% 30.87/31.09 cnf(least-2, axiom, ( ~least(_u145, _u149, _u147) | ~member(_u140, _u147) | apply(_u149, _u145, _u140) )).
% 30.87/31.09 cnf(least-3, axiom, ( least(_u146, _u150, _u148) | ~member(_u146, _u148) | member(skolem15(_u150, _u148, _u146), _u148) )).
% 30.87/31.09 cnf(least-4, axiom, ( least(_u146, _u150, _u148) | ~member(_u146, _u148) | ~apply(_u150, _u146, skolem15(_u150, _u148, _u146)) )).
% 30.87/31.09
% 30.87/31.09 % Formula: max ( axiom ) converted to clauses:
% 30.87/31.09 cnf(max-1, axiom, ( ~max(_u156, _u160, _u158) | member(_u156, _u158) )).
% 30.87/31.09 cnf(max-2, axiom, ( ~max(_u156, _u160, _u158) | ~member(_u151, _u158) | ~apply(_u160, _u156, _u151) | ( _u156 = _u151) )).
% 30.87/31.09 cnf(max-3, axiom, ( max(_u157, _u161, _u159) | ~member(_u157, _u159) | member(skolem16(_u161, _u159, _u157), _u159) )).
% 30.87/31.09 cnf(max-4, axiom, ( max(_u157, _u161, _u159) | ~member(_u157, _u159) | apply(_u161, _u157, skolem16(_u161, _u159, _u157)) )).
% 30.87/31.09 cnf(max-5, axiom, ( max(_u157, _u161, _u159) | ~member(_u157, _u159) | ( _u157 != skolem16(_u161, _u159, _u157)) )).
% 30.87/31.09
% 30.87/31.09 % Formula: min ( axiom ) converted to clauses:
% 30.87/31.09 cnf(min-1, axiom, ( ~min(_u167, _u171, _u169) | member(_u167, _u169) )).
% 30.87/31.09 cnf(min-2, axiom, ( ~min(_u167, _u171, _u169) | ~member(_u162, _u169) | ~apply(_u171, _u162, _u167) | ( _u167 = _u162) )).
% 30.87/31.09 cnf(min-3, axiom, ( min(_u168, _u172, _u170) | ~member(_u168, _u170) | member(skolem17(_u172, _u170, _u168), _u170) )).
% 30.87/31.09 cnf(min-4, axiom, ( min(_u168, _u172, _u170) | ~member(_u168, _u170) | apply(_u172, skolem17(_u172, _u170, _u168), _u168) )).
% 30.87/31.09 cnf(min-5, axiom, ( min(_u168, _u172, _u170) | ~member(_u168, _u170) | ( _u168 != skolem17(_u172, _u170, _u168)) )).
% 30.87/31.09
% 30.87/31.09 % Formula: least_upper_bound ( axiom ) converted to clauses:
% 30.87/31.09 cnf(least_upper_bound-1, axiom, ( ~least_upper_bound(_u185, _u183, _u181, _u179) | member(_u185, _u183) )).
% 30.87/31.09 cnf(least_upper_bound-2, axiom, ( ~least_upper_bound(_u185, _u183, _u181, _u179) | upper_bound(_u185, _u181, _u183) )).
% 30.87/31.09 cnf(least_upper_bound-3, axiom, ( ~least_upper_bound(_u185, _u183, _u181, _u179) | ~member(_u173, _u179) | ~upper_bound(_u173, _u181, _u183) | apply(_u181, _u185, _u173) )).
% 30.87/31.09 cnf(least_upper_bound-4, axiom, ( least_upper_bound(_u186, _u184, _u182, _u180) | ~member(_u186, _u184) | ~upper_bound(_u186, _u182, _u184) | member(skolem18(_u186, _u184, _u182, _u180), _u180) )).
% 30.87/31.09 cnf(least_upper_bound-5, axiom, ( least_upper_bound(_u186, _u184, _u182, _u180) | ~member(_u186, _u184) | ~upper_bound(_u186, _u182, _u184) | upper_bound(skolem18(_u186, _u184, _u182, _u180), _u182, _u184) )).
% 30.87/31.09 cnf(least_upper_bound-6, axiom, ( least_upper_bound(_u186, _u184, _u182, _u180) | ~member(_u186, _u184) | ~upper_bound(_u186, _u182, _u184) | ~apply(_u182, _u186, skolem18(_u186, _u184, _u182, _u180)) )).
% 30.87/31.09
% 30.87/31.09 % Formula: greatest_lower_bound ( axiom ) converted to clauses:
% 30.87/31.09 cnf(greatest_lower_bound-1, axiom, ( ~greatest_lower_bound(_u199, _u197, _u195, _u193) | member(_u199, _u197) )).
% 30.87/31.09 cnf(greatest_lower_bound-2, axiom, ( ~greatest_lower_bound(_u199, _u197, _u195, _u193) | lower_bound(_u199, _u195, _u197) )).
% 30.87/31.09 cnf(greatest_lower_bound-3, axiom, ( ~greatest_lower_bound(_u199, _u197, _u195, _u193) | ~member(_u187, _u193) | ~lower_bound(_u187, _u195, _u197) | apply(_u195, _u187, _u199) )).
% 30.87/31.09 cnf(greatest_lower_bound-4, axiom, ( greatest_lower_bound(_u200, _u198, _u196, _u194) | ~member(_u200, _u198) | ~lower_bound(_u200, _u196, _u198) | member(skolem19(_u200, _u198, _u196, _u194), _u194) )).
% 30.87/31.09 cnf(greatest_lower_bound-5, axiom, ( greatest_lower_bound(_u200, _u198, _u196, _u194) | ~member(_u200, _u198) | ~lower_bound(_u200, _u196, _u198) | lower_bound(skolem19(_u200, _u198, _u196, _u194), _u196, _u198) )).
% 30.87/31.09 cnf(greatest_lower_bound-6, axiom, ( greatest_lower_bound(_u200, _u198, _u196, _u194) | ~member(_u200, _u198) | ~lower_bound(_u200, _u196, _u198) | ~apply(_u196, skolem19(_u200, _u198, _u196, _u194), _u200) )).
% 30.87/31.09
% 30.87/31.09 % Formula: thIV12 ( conjecture ) converted to clauses:
% 30.87/31.09 cnf(thIV12-1, negated_conjecture, ( order(skolem20, skolem21) )).
% 30.87/31.09 cnf(thIV12-2, negated_conjecture, ( subset(skolem22, skolem21) )).
% 30.87/31.09 cnf(thIV12-3, negated_conjecture, ( subset(skolem23, skolem21) )).
% 30.87/31.09 cnf(thIV12-4, negated_conjecture, ( subset(skolem22, skolem23) )).
% 30.87/31.09 cnf(thIV12-5, negated_conjecture, ( greatest_lower_bound(skolem24, skolem22, skolem20, skolem21) )).
% 30.87/31.09 cnf(thIV12-6, negated_conjecture, ( greatest_lower_bound(skolem25, skolem23, skolem20, skolem21) )).
% 30.87/31.09 cnf(thIV12-7, negated_conjecture, ( ~apply(skolem20, skolem25, skolem24) )).
% 30.87/31.09
% 30.87/31.09 % Problem matrix:
% 30.87/31.09 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 30.87/31.09 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 30.87/31.09 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 30.87/31.09 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( power_set(__eqx_0) = power_set(__eqy_0)) )).
% 30.87/31.09 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( intersection(__eqx_0, __eqx_1) = intersection(__eqy_0, __eqy_1)) )).
% 30.87/31.09 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( union(__eqx_0, __eqx_1) = union(__eqy_0, __eqy_1)) )).
% 30.87/31.09 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( difference(__eqx_0, __eqx_1) = difference(__eqy_0, __eqy_1)) )).
% 30.87/31.09 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 30.87/31.09 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( unordered_pair(__eqx_0, __eqx_1) = unordered_pair(__eqy_0, __eqy_1)) )).
% 30.87/31.09 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( sum(__eqx_0) = sum(__eqy_0)) )).
% 30.87/31.09 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( product(__eqx_0) = product(__eqy_0)) )).
% 30.87/31.09 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 30.87/31.09 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 30.87/31.09 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 30.87/31.09 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 30.87/31.09 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 30.87/31.09 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem6(__eqx_0, __eqx_1) = skolem6(__eqy_0, __eqy_1)) )).
% 30.87/31.09 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem7(__eqx_0, __eqx_1) = skolem7(__eqy_0, __eqy_1)) )).
% 30.87/31.09 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem8(__eqx_0, __eqx_1) = skolem8(__eqy_0, __eqy_1)) )).
% 30.87/31.09 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem9(__eqx_0, __eqx_1) = skolem9(__eqy_0, __eqy_1)) )).
% 30.87/31.09 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 30.87/31.09 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem11(__eqx_0, __eqx_1) = skolem11(__eqy_0, __eqy_1)) )).
% 30.87/31.09 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem12(__eqx_0, __eqx_1, __eqx_2) = skolem12(__eqy_0, __eqy_1, __eqy_2)) )).
% 30.87/31.09 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem13(__eqx_0, __eqx_1, __eqx_2) = skolem13(__eqy_0, __eqy_1, __eqy_2)) )).
% 30.87/31.09 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem14(__eqx_0, __eqx_1, __eqx_2) = skolem14(__eqy_0, __eqy_1, __eqy_2)) )).
% 30.87/31.09 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem15(__eqx_0, __eqx_1, __eqx_2) = skolem15(__eqy_0, __eqy_1, __eqy_2)) )).
% 30.87/31.09 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem16(__eqx_0, __eqx_1, __eqx_2) = skolem16(__eqy_0, __eqy_1, __eqy_2)) )).
% 30.87/31.09 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem17(__eqx_0, __eqx_1, __eqx_2) = skolem17(__eqy_0, __eqy_1, __eqy_2)) )).
% 30.87/31.09 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem18(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem18(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 30.87/31.09 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem19(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem19(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 30.87/31.09 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 30.87/31.09 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 30.87/31.09 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~equal_set(__eqx_0, __eqx_1) | equal_set(__eqy_0, __eqy_1) )).
% 30.87/31.09 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~order(__eqx_0, __eqx_1) | order(__eqy_0, __eqy_1) )).
% 30.87/31.09 cnf(matrix-34, 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) )).
% 30.87/31.09 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~total_order(__eqx_0, __eqx_1) | total_order(__eqy_0, __eqy_1) )).
% 30.87/31.09 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~upper_bound(__eqx_0, __eqx_1, __eqx_2) | upper_bound(__eqy_0, __eqy_1, __eqy_2) )).
% 30.87/31.09 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~lower_bound(__eqx_0, __eqx_1, __eqx_2) | lower_bound(__eqy_0, __eqy_1, __eqy_2) )).
% 30.87/31.09 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~greatest(__eqx_0, __eqx_1, __eqx_2) | greatest(__eqy_0, __eqy_1, __eqy_2) )).
% 30.87/31.09 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~least(__eqx_0, __eqx_1, __eqx_2) | least(__eqy_0, __eqy_1, __eqy_2) )).
% 30.87/31.09 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~max(__eqx_0, __eqx_1, __eqx_2) | max(__eqy_0, __eqy_1, __eqy_2) )).
% 30.87/31.09 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~min(__eqx_0, __eqx_1, __eqx_2) | min(__eqy_0, __eqy_1, __eqy_2) )).
% 30.87/31.09 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~least_upper_bound(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | least_upper_bound(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 30.87/31.09 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~greatest_lower_bound(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | greatest_lower_bound(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 30.87/31.09 cnf(matrix-44, plain, ( ~subset(_u6, _u4) | ~member(_u0, _u6) | member(_u0, _u4) )).
% 30.87/31.09 cnf(matrix-45, plain, ( subset(_u7, _u5) | member(skolem1(_u7, _u5), _u7) )).
% 30.87/31.09 cnf(matrix-46, plain, ( subset(_u7, _u5) | ~member(skolem1(_u7, _u5), _u5) )).
% 30.87/31.09 cnf(matrix-47, plain, ( ~equal_set(_u12, _u10) | subset(_u12, _u10) )).
% 30.87/31.09 cnf(matrix-48, plain, ( ~equal_set(_u12, _u10) | subset(_u10, _u12) )).
% 30.87/31.09 cnf(matrix-49, plain, ( ~subset(_u13, _u11) | ~subset(_u11, _u13) | equal_set(_u13, _u11) )).
% 30.87/31.09 cnf(matrix-50, plain, ( ~member(_u18, power_set(_u16)) | subset(_u18, _u16) )).
% 30.87/31.09 cnf(matrix-51, plain, ( ~subset(_u19, _u17) | member(_u19, power_set(_u17)) )).
% 30.87/31.09 cnf(matrix-52, plain, ( ~member(_u27, intersection(_u25, _u23)) | member(_u27, _u25) )).
% 30.87/31.09 cnf(matrix-53, plain, ( ~member(_u27, intersection(_u25, _u23)) | member(_u27, _u23) )).
% 30.87/31.09 cnf(matrix-54, plain, ( ~member(_u28, _u26) | ~member(_u28, _u24) | member(_u28, intersection(_u26, _u24)) )).
% 30.87/31.09 cnf(matrix-55, plain, ( ~member(_u36, union(_u34, _u32)) | member(_u36, _u34) | member(_u36, _u32) )).
% 30.87/31.09 cnf(matrix-56, plain, ( member(_u37, union(_u35, _u33)) | ~member(_u37, _u35) )).
% 30.87/31.09 cnf(matrix-57, plain, ( member(_u37, union(_u35, _u33)) | ~member(_u37, _u33) )).
% 30.87/31.09 cnf(matrix-58, plain, ( ~member(_u38, empty_set) )).
% 30.87/31.09 cnf(matrix-59, plain, ( ~member(_u46, difference(_u42, _u44)) | member(_u46, _u42) )).
% 30.87/31.09 cnf(matrix-60, plain, ( ~member(_u46, difference(_u42, _u44)) | ~member(_u46, _u44) )).
% 30.87/31.09 cnf(matrix-61, plain, ( ~member(_u47, _u43) | member(_u47, _u45) | member(_u47, difference(_u43, _u45)) )).
% 30.87/31.09 cnf(matrix-62, plain, ( ~member(_u52, singleton(_u50)) | ( _u52 = _u50) )).
% 30.87/31.09 cnf(matrix-63, plain, ( ( _u53 != _u51) | member(_u53, singleton(_u51)) )).
% 30.87/31.09 cnf(matrix-64, plain, ( ~member(_u61, unordered_pair(_u59, _u57)) | ( _u61 = _u59) | ( _u61 = _u57) )).
% 30.87/31.09 cnf(matrix-65, plain, ( member(_u62, unordered_pair(_u60, _u58)) | ( _u62 != _u60) )).
% 30.87/31.09 cnf(matrix-66, plain, ( member(_u62, unordered_pair(_u60, _u58)) | ( _u62 != _u58) )).
% 30.87/31.09 cnf(matrix-67, plain, ( ~member(_u69, sum(_u67)) | member(skolem2(_u69, _u67), _u67) )).
% 30.87/31.09 cnf(matrix-68, plain, ( ~member(_u69, sum(_u67)) | member(_u69, skolem2(_u69, _u67)) )).
% 30.87/31.09 cnf(matrix-69, plain, ( ~member(_u64, _u68) | ~member(_u70, _u64) | member(_u70, sum(_u68)) )).
% 30.87/31.09 cnf(matrix-70, plain, ( ~member(_u77, product(_u75)) | ~member(_u71, _u75) | member(_u77, _u71) )).
% 30.87/31.09 cnf(matrix-71, plain, ( member(_u78, product(_u76)) | member(skolem3(_u78, _u76), _u76) )).
% 30.87/31.09 cnf(matrix-72, plain, ( member(_u78, product(_u76)) | ~member(_u78, skolem3(_u78, _u76)) )).
% 30.87/31.09 cnf(matrix-73, plain, ( ~order(_u95, _u93) | ~member(_u79, _u93) | apply(_u95, _u79, _u79) )).
% 30.87/31.09 cnf(matrix-74, plain, ( ~order(_u95, _u93) | ~member(_u81, _u93) | ~member(_u80, _u93) | ~apply(_u95, _u81, _u80) | ~apply(_u95, _u80, _u81) | ( _u81 = _u80) )).
% 30.87/31.09 cnf(matrix-75, plain, ( ~order(_u95, _u93) | ~member(_u84, _u93) | ~member(_u83, _u93) | ~member(_u82, _u93) | ~apply(_u95, _u84, _u83) | ~apply(_u95, _u83, _u82) | apply(_u95, _u84, _u82) )).
% 30.87/31.09 cnf(matrix-76, plain, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-77, plain, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-78, plain, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-79, plain, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-80, plain, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-81, plain, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-82, plain, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-83, plain, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-84, plain, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-85, plain, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-86, plain, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-87, plain, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-88, plain, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-89, plain, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-90, plain, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | member(skolem4(_u96, _u94), _u94) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-91, plain, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-92, plain, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-93, plain, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-94, plain, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-95, plain, ( order(_u96, _u94) | member(skolem7(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-96, plain, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-97, plain, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-98, plain, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-99, plain, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-100, plain, ( order(_u96, _u94) | member(skolem8(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-101, plain, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-102, plain, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-103, plain, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-104, plain, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-105, plain, ( order(_u96, _u94) | member(skolem9(_u96, _u94), _u94) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-106, plain, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-107, plain, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-108, plain, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-109, plain, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-110, plain, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-111, plain, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-112, plain, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-113, plain, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-114, plain, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-115, plain, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-116, plain, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-117, plain, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-118, plain, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-119, plain, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-120, plain, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | member(skolem4(_u96, _u94), _u94) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-121, plain, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-122, plain, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-123, plain, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-124, plain, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-125, plain, ( order(_u96, _u94) | apply(_u96, skolem7(_u96, _u94), skolem8(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-126, plain, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-127, plain, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-128, plain, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-129, plain, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-130, plain, ( order(_u96, _u94) | apply(_u96, skolem8(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-131, plain, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem5(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-132, plain, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | member(skolem6(_u96, _u94), _u94) )).
% 30.87/31.09 cnf(matrix-133, plain, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem5(_u96, _u94), skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-134, plain, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | apply(_u96, skolem6(_u96, _u94), skolem5(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-135, plain, ( order(_u96, _u94) | ~apply(_u96, skolem7(_u96, _u94), skolem9(_u96, _u94)) | ~apply(_u96, skolem4(_u96, _u94), skolem4(_u96, _u94)) | ( skolem5(_u96, _u94) != skolem6(_u96, _u94)) )).
% 30.87/31.09 cnf(matrix-136, plain, ( ~total_order(_u105, _u103) | order(_u105, _u103) )).
% 30.87/31.09 cnf(matrix-137, plain, ( ~total_order(_u105, _u103) | ~member(_u98, _u103) | ~member(_u97, _u103) | apply(_u105, _u98, _u97) | apply(_u105, _u97, _u98) )).
% 30.87/31.09 cnf(matrix-138, plain, ( total_order(_u106, _u104) | ~order(_u106, _u104) | member(skolem10(_u106, _u104), _u104) )).
% 30.87/31.09 cnf(matrix-139, plain, ( total_order(_u106, _u104) | ~order(_u106, _u104) | member(skolem11(_u106, _u104), _u104) )).
% 30.87/31.09 cnf(matrix-140, plain, ( total_order(_u106, _u104) | ~order(_u106, _u104) | ~apply(_u106, skolem10(_u106, _u104), skolem11(_u106, _u104)) )).
% 30.87/31.09 cnf(matrix-141, plain, ( total_order(_u106, _u104) | ~order(_u106, _u104) | ~apply(_u106, skolem11(_u106, _u104), skolem10(_u106, _u104)) )).
% 30.87/31.09 cnf(matrix-142, plain, ( ~upper_bound(_u112, _u116, _u114) | ~member(_u107, _u114) | apply(_u116, _u107, _u112) )).
% 30.87/31.09 cnf(matrix-143, plain, ( upper_bound(_u113, _u117, _u115) | member(skolem12(_u117, _u115, _u113), _u115) )).
% 30.87/31.09 cnf(matrix-144, plain, ( upper_bound(_u113, _u117, _u115) | ~apply(_u117, skolem12(_u117, _u115, _u113), _u113) )).
% 30.87/31.09 cnf(matrix-145, plain, ( ~lower_bound(_u123, _u127, _u125) | ~member(_u118, _u125) | apply(_u127, _u123, _u118) )).
% 30.87/31.09 cnf(matrix-146, plain, ( lower_bound(_u124, _u128, _u126) | member(skolem13(_u128, _u126, _u124), _u126) )).
% 30.87/31.09 cnf(matrix-147, plain, ( lower_bound(_u124, _u128, _u126) | ~apply(_u128, _u124, skolem13(_u128, _u126, _u124)) )).
% 30.87/31.09 cnf(matrix-148, plain, ( ~greatest(_u134, _u138, _u136) | member(_u134, _u136) )).
% 30.87/31.09 cnf(matrix-149, plain, ( ~greatest(_u134, _u138, _u136) | ~member(_u129, _u136) | apply(_u138, _u129, _u134) )).
% 30.87/31.09 cnf(matrix-150, plain, ( greatest(_u135, _u139, _u137) | ~member(_u135, _u137) | member(skolem14(_u139, _u137, _u135), _u137) )).
% 30.87/31.09 cnf(matrix-151, plain, ( greatest(_u135, _u139, _u137) | ~member(_u135, _u137) | ~apply(_u139, skolem14(_u139, _u137, _u135), _u135) )).
% 30.87/31.09 cnf(matrix-152, plain, ( ~least(_u145, _u149, _u147) | member(_u145, _u147) )).
% 30.87/31.09 cnf(matrix-153, plain, ( ~least(_u145, _u149, _u147) | ~member(_u140, _u147) | apply(_u149, _u145, _u140) )).
% 30.87/31.09 cnf(matrix-154, plain, ( least(_u146, _u150, _u148) | ~member(_u146, _u148) | member(skolem15(_u150, _u148, _u146), _u148) )).
% 30.87/31.09 cnf(matrix-155, plain, ( least(_u146, _u150, _u148) | ~member(_u146, _u148) | ~apply(_u150, _u146, skolem15(_u150, _u148, _u146)) )).
% 30.87/31.09 cnf(matrix-156, plain, ( ~max(_u156, _u160, _u158) | member(_u156, _u158) )).
% 30.87/31.09 cnf(matrix-157, plain, ( ~max(_u156, _u160, _u158) | ~member(_u151, _u158) | ~apply(_u160, _u156, _u151) | ( _u156 = _u151) )).
% 30.87/31.09 cnf(matrix-158, plain, ( max(_u157, _u161, _u159) | ~member(_u157, _u159) | member(skolem16(_u161, _u159, _u157), _u159) )).
% 30.87/31.09 cnf(matrix-159, plain, ( max(_u157, _u161, _u159) | ~member(_u157, _u159) | apply(_u161, _u157, skolem16(_u161, _u159, _u157)) )).
% 30.87/31.09 cnf(matrix-160, plain, ( max(_u157, _u161, _u159) | ~member(_u157, _u159) | ( _u157 != skolem16(_u161, _u159, _u157)) )).
% 30.87/31.09 cnf(matrix-161, plain, ( ~min(_u167, _u171, _u169) | member(_u167, _u169) )).
% 30.87/31.09 cnf(matrix-162, plain, ( ~min(_u167, _u171, _u169) | ~member(_u162, _u169) | ~apply(_u171, _u162, _u167) | ( _u167 = _u162) )).
% 30.87/31.09 cnf(matrix-163, plain, ( min(_u168, _u172, _u170) | ~member(_u168, _u170) | member(skolem17(_u172, _u170, _u168), _u170) )).
% 30.87/31.09 cnf(matrix-164, plain, ( min(_u168, _u172, _u170) | ~member(_u168, _u170) | apply(_u172, skolem17(_u172, _u170, _u168), _u168) )).
% 30.87/31.09 cnf(matrix-165, plain, ( min(_u168, _u172, _u170) | ~member(_u168, _u170) | ( _u168 != skolem17(_u172, _u170, _u168)) )).
% 30.87/31.09 cnf(matrix-166, plain, ( ~least_upper_bound(_u185, _u183, _u181, _u179) | member(_u185, _u183) )).
% 30.87/31.09 cnf(matrix-167, plain, ( ~least_upper_bound(_u185, _u183, _u181, _u179) | upper_bound(_u185, _u181, _u183) )).
% 30.87/31.09 cnf(matrix-168, plain, ( ~least_upper_bound(_u185, _u183, _u181, _u179) | ~member(_u173, _u179) | ~upper_bound(_u173, _u181, _u183) | apply(_u181, _u185, _u173) )).
% 30.87/31.09 cnf(matrix-169, plain, ( least_upper_bound(_u186, _u184, _u182, _u180) | ~member(_u186, _u184) | ~upper_bound(_u186, _u182, _u184) | member(skolem18(_u186, _u184, _u182, _u180), _u180) )).
% 30.87/31.09 cnf(matrix-170, plain, ( least_upper_bound(_u186, _u184, _u182, _u180) | ~member(_u186, _u184) | ~upper_bound(_u186, _u182, _u184) | upper_bound(skolem18(_u186, _u184, _u182, _u180), _u182, _u184) )).
% 30.87/31.09 cnf(matrix-171, plain, ( least_upper_bound(_u186, _u184, _u182, _u180) | ~member(_u186, _u184) | ~upper_bound(_u186, _u182, _u184) | ~apply(_u182, _u186, skolem18(_u186, _u184, _u182, _u180)) )).
% 30.87/31.09 cnf(matrix-172, plain, ( ~greatest_lower_bound(_u199, _u197, _u195, _u193) | member(_u199, _u197) )).
% 30.87/31.09 cnf(matrix-173, plain, ( ~greatest_lower_bound(_u199, _u197, _u195, _u193) | lower_bound(_u199, _u195, _u197) )).
% 30.87/31.09 cnf(matrix-174, plain, ( ~greatest_lower_bound(_u199, _u197, _u195, _u193) | ~member(_u187, _u193) | ~lower_bound(_u187, _u195, _u197) | apply(_u195, _u187, _u199) )).
% 30.87/31.09 cnf(matrix-175, plain, ( greatest_lower_bound(_u200, _u198, _u196, _u194) | ~member(_u200, _u198) | ~lower_bound(_u200, _u196, _u198) | member(skolem19(_u200, _u198, _u196, _u194), _u194) )).
% 30.87/31.09 cnf(matrix-176, plain, ( greatest_lower_bound(_u200, _u198, _u196, _u194) | ~member(_u200, _u198) | ~lower_bound(_u200, _u196, _u198) | lower_bound(skolem19(_u200, _u198, _u196, _u194), _u196, _u198) )).
% 30.87/31.09 cnf(matrix-177, plain, ( greatest_lower_bound(_u200, _u198, _u196, _u194) | ~member(_u200, _u198) | ~lower_bound(_u200, _u196, _u198) | ~apply(_u196, skolem19(_u200, _u198, _u196, _u194), _u200) )).
% 30.87/31.09 cnf(matrix-178, plain, ( order(skolem20, skolem21) )).
% 30.87/31.09 cnf(matrix-179, plain, ( subset(skolem22, skolem21) )).
% 30.87/31.09 cnf(matrix-180, plain, ( subset(skolem23, skolem21) )).
% 30.87/31.09 cnf(matrix-181, plain, ( subset(skolem22, skolem23) )).
% 30.87/31.09 cnf(matrix-182, plain, ( greatest_lower_bound(skolem24, skolem22, skolem20, skolem21) )).
% 30.87/31.09 cnf(matrix-183, plain, ( greatest_lower_bound(skolem25, skolem23, skolem20, skolem21) )).
% 30.87/31.09 cnf(matrix-184, plain, ( ~apply(skolem20, skolem25, skolem24) )).
% 30.87/31.09
% 30.87/31.09 % Proof stack:
% 30.87/31.09 cnf(proof-stack, plain,
% 30.87/31.09 proof_stack(
% 30.87/31.09 start(181),
% 30.87/31.09 left_branch(0, 44, 0, 2),
% 30.87/31.09 left_branch(0, 145, 1, 3),
% 30.87/31.09 left_branch(0, 173, 1, 4),
% 30.87/31.09 left_branch(0, 183, 0, 5),
% 30.87/31.09 right_branch(5),
% 30.87/31.09 right_branch(4),
% 30.87/31.09 left_branch(0, 184, 0, 5),
% 30.87/31.09 right_branch(5),
% 30.87/31.09 right_branch(3),
% 30.87/31.09 left_branch(0, 172, 1, 4),
% 30.87/31.09 left_branch(0, 182, 0, 5),
% 30.87/31.09 right_branch(5),
% 30.87/31.09 right_branch(4),
% 30.87/31.09 right_branch(2)
% 30.87/31.09 )).
% 30.87/31.09 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------