TSTP Solution File: SET874+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET874+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu May 9 17:40:17 EDT 2024
% Result : Theorem 1.03s 1.18s
% Output : Refutation 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET874+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed May 8 19:34:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 1.03/1.18 % Version: 1.5
% 1.03/1.18 % SZS status Theorem
% 1.03/1.18 % SZS output start CNFRefutation
% 1.03/1.18 fof(t14_zfmisc_1,conjecture,(![A]:(![B]:set_union2(singleton(A),unordered_pair(A,B))=unordered_pair(A,B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t14_zfmisc_1)).
% 1.03/1.18 fof(c5,negated_conjecture,(~(![A]:(![B]:set_union2(singleton(A),unordered_pair(A,B))=unordered_pair(A,B)))),inference(assume_negation,[status(cth)],[t14_zfmisc_1])).
% 1.03/1.18 fof(c6,negated_conjecture,(?[A]:(?[B]:set_union2(singleton(A),unordered_pair(A,B))!=unordered_pair(A,B))),inference(fof_nnf,[status(thm)],[c5])).
% 1.03/1.18 fof(c7,negated_conjecture,(?[X2]:(?[X3]:set_union2(singleton(X2),unordered_pair(X2,X3))!=unordered_pair(X2,X3))),inference(variable_rename,[status(thm)],[c6])).
% 1.03/1.18 fof(c8,negated_conjecture,set_union2(singleton(skolem0001),unordered_pair(skolem0001,skolem0002))!=unordered_pair(skolem0001,skolem0002),inference(skolemize,[status(esa)],[c7])).
% 1.03/1.18 cnf(c9,negated_conjecture,set_union2(singleton(skolem0001),unordered_pair(skolem0001,skolem0002))!=unordered_pair(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c8])).
% 1.03/1.18 fof(l23_zfmisc_1,axiom,(![A]:(![B]:(in(A,B)=>set_union2(singleton(A),B)=B))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', l23_zfmisc_1)).
% 1.03/1.18 fof(c17,plain,(![A]:(![B]:(~in(A,B)|set_union2(singleton(A),B)=B))),inference(fof_nnf,[status(thm)],[l23_zfmisc_1])).
% 1.03/1.18 fof(c18,plain,(![X6]:(![X7]:(~in(X6,X7)|set_union2(singleton(X6),X7)=X7))),inference(variable_rename,[status(thm)],[c17])).
% 1.03/1.18 cnf(c19,plain,~in(X88,X87)|set_union2(singleton(X88),X87)=X87,inference(split_conjunct,[status(thm)],[c18])).
% 1.03/1.18 cnf(reflexivity,axiom,X28=X28,theory(equality)).
% 1.03/1.18 fof(d2_tarski,axiom,(![A]:(![B]:(![C]:(C=unordered_pair(A,B)<=>(![D]:(in(D,C)<=>(D=A|D=B))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_tarski)).
% 1.03/1.18 fof(c35,plain,(![A]:(![B]:(![C]:((C!=unordered_pair(A,B)|(![D]:((~in(D,C)|(D=A|D=B))&((D!=A&D!=B)|in(D,C)))))&((?[D]:((~in(D,C)|(D!=A&D!=B))&(in(D,C)|(D=A|D=B))))|C=unordered_pair(A,B)))))),inference(fof_nnf,[status(thm)],[d2_tarski])).
% 1.03/1.18 fof(c36,plain,((![A]:(![B]:(![C]:(C!=unordered_pair(A,B)|((![D]:(~in(D,C)|(D=A|D=B)))&(![D]:((D!=A&D!=B)|in(D,C))))))))&(![A]:(![B]:(![C]:((?[D]:((~in(D,C)|(D!=A&D!=B))&(in(D,C)|(D=A|D=B))))|C=unordered_pair(A,B)))))),inference(shift_quantors,[status(thm)],[c35])).
% 1.03/1.18 fof(c37,plain,((![X13]:(![X14]:(![X15]:(X15!=unordered_pair(X13,X14)|((![X16]:(~in(X16,X15)|(X16=X13|X16=X14)))&(![X17]:((X17!=X13&X17!=X14)|in(X17,X15))))))))&(![X18]:(![X19]:(![X20]:((?[X21]:((~in(X21,X20)|(X21!=X18&X21!=X19))&(in(X21,X20)|(X21=X18|X21=X19))))|X20=unordered_pair(X18,X19)))))),inference(variable_rename,[status(thm)],[c36])).
% 1.03/1.18 fof(c39,plain,(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:((X15!=unordered_pair(X13,X14)|((~in(X16,X15)|(X16=X13|X16=X14))&((X17!=X13&X17!=X14)|in(X17,X15))))&(((~in(skolem0005(X18,X19,X20),X20)|(skolem0005(X18,X19,X20)!=X18&skolem0005(X18,X19,X20)!=X19))&(in(skolem0005(X18,X19,X20),X20)|(skolem0005(X18,X19,X20)=X18|skolem0005(X18,X19,X20)=X19)))|X20=unordered_pair(X18,X19))))))))))),inference(shift_quantors,[status(thm)],[fof(c38,plain,((![X13]:(![X14]:(![X15]:(X15!=unordered_pair(X13,X14)|((![X16]:(~in(X16,X15)|(X16=X13|X16=X14)))&(![X17]:((X17!=X13&X17!=X14)|in(X17,X15))))))))&(![X18]:(![X19]:(![X20]:(((~in(skolem0005(X18,X19,X20),X20)|(skolem0005(X18,X19,X20)!=X18&skolem0005(X18,X19,X20)!=X19))&(in(skolem0005(X18,X19,X20),X20)|(skolem0005(X18,X19,X20)=X18|skolem0005(X18,X19,X20)=X19)))|X20=unordered_pair(X18,X19)))))),inference(skolemize,[status(esa)],[c37])).])).
% 1.03/1.18 fof(c40,plain,(![X13]:(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(((X15!=unordered_pair(X13,X14)|(~in(X16,X15)|(X16=X13|X16=X14)))&((X15!=unordered_pair(X13,X14)|(X17!=X13|in(X17,X15)))&(X15!=unordered_pair(X13,X14)|(X17!=X14|in(X17,X15)))))&((((~in(skolem0005(X18,X19,X20),X20)|skolem0005(X18,X19,X20)!=X18)|X20=unordered_pair(X18,X19))&((~in(skolem0005(X18,X19,X20),X20)|skolem0005(X18,X19,X20)!=X19)|X20=unordered_pair(X18,X19)))&((in(skolem0005(X18,X19,X20),X20)|(skolem0005(X18,X19,X20)=X18|skolem0005(X18,X19,X20)=X19))|X20=unordered_pair(X18,X19)))))))))))),inference(distribute,[status(thm)],[c39])).
% 1.03/1.18 cnf(c42,plain,X107!=unordered_pair(X104,X105)|X106!=X104|in(X106,X107),inference(split_conjunct,[status(thm)],[c40])).
% 1.03/1.18 cnf(c138,plain,X109!=X108|in(X109,unordered_pair(X108,X110)),inference(resolution,[status(thm)],[c42, reflexivity])).
% 1.03/1.18 cnf(c144,plain,in(X111,unordered_pair(X111,X112)),inference(resolution,[status(thm)],[c138, reflexivity])).
% 1.03/1.18 cnf(c151,plain,set_union2(singleton(X648),unordered_pair(X648,X647))=unordered_pair(X648,X647),inference(resolution,[status(thm)],[c144, c19])).
% 1.03/1.18 cnf(c2147,plain,$false,inference(resolution,[status(thm)],[c151, c9])).
% 1.03/1.18 % SZS output end CNFRefutation
% 1.03/1.18
% 1.03/1.18 % Initial clauses : 24
% 1.03/1.18 % Processed clauses : 167
% 1.03/1.18 % Factors computed : 5
% 1.03/1.18 % Resolvents computed: 2137
% 1.03/1.18 % Tautologies deleted: 3
% 1.03/1.18 % Forward subsumed : 178
% 1.03/1.18 % Backward subsumed : 1
% 1.03/1.18 % -------- CPU Time ---------
% 1.03/1.18 % User time : 0.795 s
% 1.03/1.18 % System time : 0.020 s
% 1.03/1.18 % Total time : 0.815 s
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