TSTP Solution File: SET803+4 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET803+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 17:40:06 EDT 2024
% Result : Theorem 0.61s 0.82s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET803+4 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 19:27:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.61/0.82 % Version: 1.5
% 0.61/0.82 % SZS status Theorem
% 0.61/0.82 % SZS output start CNFRefutation
% 0.61/0.82 fof(thIV15,conjecture,(![R]:(![E]:(order(R,E)=>(![M1]:(![M2]:(((max(M1,R,E)&max(M2,R,E))&M1!=M2)=>(~(?[M]:greatest(M,R,E))))))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', thIV15)).
% 0.61/0.82 fof(c12,negated_conjecture,(~(![R]:(![E]:(order(R,E)=>(![M1]:(![M2]:(((max(M1,R,E)&max(M2,R,E))&M1!=M2)=>(~(?[M]:greatest(M,R,E)))))))))),inference(assume_negation,[status(cth)],[thIV15])).
% 0.61/0.82 fof(c13,negated_conjecture,(?[R]:(?[E]:(order(R,E)&(?[M1]:(?[M2]:(((max(M1,R,E)&max(M2,R,E))&M1!=M2)&(?[M]:greatest(M,R,E)))))))),inference(fof_nnf,[status(thm)],[c12])).
% 0.61/0.82 fof(c14,negated_conjecture,(?[R]:(?[E]:(order(R,E)&((?[M1]:(?[M2]:((max(M1,R,E)&max(M2,R,E))&M1!=M2)))&(?[M]:greatest(M,R,E)))))),inference(shift_quantors,[status(thm)],[c13])).
% 0.61/0.82 fof(c15,negated_conjecture,(?[X2]:(?[X3]:(order(X2,X3)&((?[X4]:(?[X5]:((max(X4,X2,X3)&max(X5,X2,X3))&X4!=X5)))&(?[X6]:greatest(X6,X2,X3)))))),inference(variable_rename,[status(thm)],[c14])).
% 0.61/0.82 fof(c16,negated_conjecture,(order(skolem0001,skolem0002)&(((max(skolem0003,skolem0001,skolem0002)&max(skolem0004,skolem0001,skolem0002))&skolem0003!=skolem0004)&greatest(skolem0005,skolem0001,skolem0002))),inference(skolemize,[status(esa)],[c15])).
% 0.61/0.82 cnf(c20,negated_conjecture,skolem0003!=skolem0004,inference(split_conjunct,[status(thm)],[c16])).
% 0.61/0.82 cnf(transitivity,axiom,X105!=X104|X104!=X103|X105=X103,theory(equality)).
% 0.61/0.82 cnf(symmetry,axiom,X101!=X100|X100=X101,theory(equality)).
% 0.61/0.82 cnf(c21,negated_conjecture,greatest(skolem0005,skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c16])).
% 0.61/0.82 fof(greatest,axiom,(![R]:(![E]:(![M]:(greatest(M,R,E)<=>(member(M,E)&(![X]:(member(X,E)=>apply(R,X,M)))))))),file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', greatest)).
% 0.61/0.82 fof(c78,plain,(![R]:(![E]:(![M]:((~greatest(M,R,E)|(member(M,E)&(![X]:(~member(X,E)|apply(R,X,M)))))&((~member(M,E)|(?[X]:(member(X,E)&~apply(R,X,M))))|greatest(M,R,E)))))),inference(fof_nnf,[status(thm)],[greatest])).
% 0.61/0.82 fof(c79,plain,((![R]:(![E]:(![M]:(~greatest(M,R,E)|(member(M,E)&(![X]:(~member(X,E)|apply(R,X,M))))))))&(![R]:(![E]:(![M]:((~member(M,E)|(?[X]:(member(X,E)&~apply(R,X,M))))|greatest(M,R,E)))))),inference(shift_quantors,[status(thm)],[c78])).
% 0.61/0.82 fof(c80,plain,((![X51]:(![X52]:(![X53]:(~greatest(X53,X51,X52)|(member(X53,X52)&(![X54]:(~member(X54,X52)|apply(X51,X54,X53))))))))&(![X55]:(![X56]:(![X57]:((~member(X57,X56)|(?[X58]:(member(X58,X56)&~apply(X55,X58,X57))))|greatest(X57,X55,X56)))))),inference(variable_rename,[status(thm)],[c79])).
% 0.61/0.82 fof(c82,plain,(![X51]:(![X52]:(![X53]:(![X54]:(![X55]:(![X56]:(![X57]:((~greatest(X53,X51,X52)|(member(X53,X52)&(~member(X54,X52)|apply(X51,X54,X53))))&((~member(X57,X56)|(member(skolem0011(X55,X56,X57),X56)&~apply(X55,skolem0011(X55,X56,X57),X57)))|greatest(X57,X55,X56)))))))))),inference(shift_quantors,[status(thm)],[fof(c81,plain,((![X51]:(![X52]:(![X53]:(~greatest(X53,X51,X52)|(member(X53,X52)&(![X54]:(~member(X54,X52)|apply(X51,X54,X53))))))))&(![X55]:(![X56]:(![X57]:((~member(X57,X56)|(member(skolem0011(X55,X56,X57),X56)&~apply(X55,skolem0011(X55,X56,X57),X57)))|greatest(X57,X55,X56)))))),inference(skolemize,[status(esa)],[c80])).])).
% 0.61/0.82 fof(c83,plain,(![X51]:(![X52]:(![X53]:(![X54]:(![X55]:(![X56]:(![X57]:(((~greatest(X53,X51,X52)|member(X53,X52))&(~greatest(X53,X51,X52)|(~member(X54,X52)|apply(X51,X54,X53))))&(((~member(X57,X56)|member(skolem0011(X55,X56,X57),X56))|greatest(X57,X55,X56))&((~member(X57,X56)|~apply(X55,skolem0011(X55,X56,X57),X57))|greatest(X57,X55,X56))))))))))),inference(distribute,[status(thm)],[c82])).
% 0.61/0.82 cnf(c84,plain,~greatest(X130,X129,X128)|member(X130,X128),inference(split_conjunct,[status(thm)],[c83])).
% 0.61/0.82 cnf(c195,plain,member(skolem0005,skolem0002),inference(resolution,[status(thm)],[c84, c21])).
% 0.61/0.82 cnf(c19,negated_conjecture,max(skolem0004,skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c16])).
% 0.61/0.82 fof(max,axiom,(![R]:(![E]:(![M]:(max(M,R,E)<=>(member(M,E)&(![X]:((member(X,E)&apply(R,M,X))=>M=X))))))),file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', max)).
% 0.61/0.82 fof(c57,plain,(![R]:(![E]:(![M]:((~max(M,R,E)|(member(M,E)&(![X]:((~member(X,E)|~apply(R,M,X))|M=X))))&((~member(M,E)|(?[X]:((member(X,E)&apply(R,M,X))&M!=X)))|max(M,R,E)))))),inference(fof_nnf,[status(thm)],[max])).
% 0.61/0.82 fof(c58,plain,((![R]:(![E]:(![M]:(~max(M,R,E)|(member(M,E)&(![X]:((~member(X,E)|~apply(R,M,X))|M=X)))))))&(![R]:(![E]:(![M]:((~member(M,E)|(?[X]:((member(X,E)&apply(R,M,X))&M!=X)))|max(M,R,E)))))),inference(shift_quantors,[status(thm)],[c57])).
% 0.61/0.82 fof(c59,plain,((![X35]:(![X36]:(![X37]:(~max(X37,X35,X36)|(member(X37,X36)&(![X38]:((~member(X38,X36)|~apply(X35,X37,X38))|X37=X38)))))))&(![X39]:(![X40]:(![X41]:((~member(X41,X40)|(?[X42]:((member(X42,X40)&apply(X39,X41,X42))&X41!=X42)))|max(X41,X39,X40)))))),inference(variable_rename,[status(thm)],[c58])).
% 0.61/0.82 fof(c61,plain,(![X35]:(![X36]:(![X37]:(![X38]:(![X39]:(![X40]:(![X41]:((~max(X37,X35,X36)|(member(X37,X36)&((~member(X38,X36)|~apply(X35,X37,X38))|X37=X38)))&((~member(X41,X40)|((member(skolem0009(X39,X40,X41),X40)&apply(X39,X41,skolem0009(X39,X40,X41)))&X41!=skolem0009(X39,X40,X41)))|max(X41,X39,X40)))))))))),inference(shift_quantors,[status(thm)],[fof(c60,plain,((![X35]:(![X36]:(![X37]:(~max(X37,X35,X36)|(member(X37,X36)&(![X38]:((~member(X38,X36)|~apply(X35,X37,X38))|X37=X38)))))))&(![X39]:(![X40]:(![X41]:((~member(X41,X40)|((member(skolem0009(X39,X40,X41),X40)&apply(X39,X41,skolem0009(X39,X40,X41)))&X41!=skolem0009(X39,X40,X41)))|max(X41,X39,X40)))))),inference(skolemize,[status(esa)],[c59])).])).
% 0.61/0.82 fof(c62,plain,(![X35]:(![X36]:(![X37]:(![X38]:(![X39]:(![X40]:(![X41]:(((~max(X37,X35,X36)|member(X37,X36))&(~max(X37,X35,X36)|((~member(X38,X36)|~apply(X35,X37,X38))|X37=X38)))&((((~member(X41,X40)|member(skolem0009(X39,X40,X41),X40))|max(X41,X39,X40))&((~member(X41,X40)|apply(X39,X41,skolem0009(X39,X40,X41)))|max(X41,X39,X40)))&((~member(X41,X40)|X41!=skolem0009(X39,X40,X41))|max(X41,X39,X40))))))))))),inference(distribute,[status(thm)],[c61])).
% 0.61/0.82 cnf(c63,plain,~max(X118,X119,X120)|member(X118,X120),inference(split_conjunct,[status(thm)],[c62])).
% 0.61/0.82 cnf(c191,plain,member(skolem0004,skolem0002),inference(resolution,[status(thm)],[c63, c19])).
% 0.61/0.82 cnf(c85,plain,~greatest(X182,X181,X179)|~member(X180,X179)|apply(X181,X180,X182),inference(split_conjunct,[status(thm)],[c83])).
% 0.61/0.82 cnf(c211,plain,~member(X183,skolem0002)|apply(skolem0001,X183,skolem0005),inference(resolution,[status(thm)],[c85, c21])).
% 0.61/0.82 cnf(c214,plain,apply(skolem0001,skolem0004,skolem0005),inference(resolution,[status(thm)],[c211, c191])).
% 0.61/0.82 cnf(c64,plain,~max(X315,X316,X317)|~member(X314,X317)|~apply(X316,X315,X314)|X315=X314,inference(split_conjunct,[status(thm)],[c62])).
% 0.61/0.82 cnf(c381,plain,~max(skolem0004,skolem0001,X420)|~member(skolem0005,X420)|skolem0004=skolem0005,inference(resolution,[status(thm)],[c64, c214])).
% 0.61/0.82 cnf(c758,plain,~member(skolem0005,skolem0002)|skolem0004=skolem0005,inference(resolution,[status(thm)],[c381, c19])).
% 0.61/0.82 cnf(c788,plain,skolem0004=skolem0005,inference(resolution,[status(thm)],[c758, c195])).
% 0.61/0.82 cnf(c790,plain,skolem0005=skolem0004,inference(resolution,[status(thm)],[c788, symmetry])).
% 0.61/0.82 cnf(c794,plain,X429!=skolem0005|X429=skolem0004,inference(resolution,[status(thm)],[c790, transitivity])).
% 0.61/0.82 cnf(c18,negated_conjecture,max(skolem0003,skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c16])).
% 0.61/0.82 cnf(c192,plain,member(skolem0003,skolem0002),inference(resolution,[status(thm)],[c63, c18])).
% 0.61/0.82 cnf(c215,plain,apply(skolem0001,skolem0003,skolem0005),inference(resolution,[status(thm)],[c211, c192])).
% 0.61/0.82 cnf(c382,plain,~max(skolem0003,skolem0001,X432)|~member(skolem0005,X432)|skolem0003=skolem0005,inference(resolution,[status(thm)],[c64, c215])).
% 0.61/0.82 cnf(c889,plain,~member(skolem0005,skolem0002)|skolem0003=skolem0005,inference(resolution,[status(thm)],[c382, c18])).
% 0.61/0.82 cnf(c891,plain,skolem0003=skolem0005,inference(resolution,[status(thm)],[c889, c195])).
% 0.61/0.82 cnf(c893,plain,skolem0003=skolem0004,inference(resolution,[status(thm)],[c891, c794])).
% 0.61/0.82 cnf(c945,plain,$false,inference(resolution,[status(thm)],[c893, c20])).
% 0.61/0.82 % SZS output end CNFRefutation
% 0.61/0.82
% 0.61/0.82 % Initial clauses : 125
% 0.61/0.82 % Processed clauses : 138
% 0.61/0.82 % Factors computed : 4
% 0.61/0.82 % Resolvents computed: 758
% 0.61/0.82 % Tautologies deleted: 2
% 0.61/0.82 % Forward subsumed : 36
% 0.61/0.82 % Backward subsumed : 6
% 0.61/0.82 % -------- CPU Time ---------
% 0.61/0.82 % User time : 0.437 s
% 0.61/0.82 % System time : 0.014 s
% 0.61/0.82 % Total time : 0.451 s
%------------------------------------------------------------------------------