TSTP Solution File: SET062+4 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET062+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 17:39:02 EDT 2024
% Result : Theorem 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET062+4 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n017.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 18:51:37 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.56 % Version: 1.5
% 0.21/0.56 % SZS status Theorem
% 0.21/0.56 % SZS output start CNFRefutation
% 0.21/0.56 fof(thI15,conjecture,(![A]:subset(empty_set,A)),file('/export/starexec/sandbox/benchmark/theBenchmark.p', thI15)).
% 0.21/0.56 fof(c11,negated_conjecture,(~(![A]:subset(empty_set,A))),inference(assume_negation,[status(cth)],[thI15])).
% 0.21/0.56 fof(c12,negated_conjecture,(?[A]:~subset(empty_set,A)),inference(fof_nnf,[status(thm)],[c11])).
% 0.21/0.56 fof(c13,negated_conjecture,(?[X2]:~subset(empty_set,X2)),inference(variable_rename,[status(thm)],[c12])).
% 0.21/0.56 fof(c14,negated_conjecture,~subset(empty_set,skolem0001),inference(skolemize,[status(esa)],[c13])).
% 0.21/0.56 cnf(c15,negated_conjecture,~subset(empty_set,skolem0001),inference(split_conjunct,[status(thm)],[c14])).
% 0.21/0.56 fof(empty_set,axiom,(![X]:(~member(X,empty_set))),file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', empty_set)).
% 0.21/0.56 fof(c57,plain,(![X]:~member(X,empty_set)),inference(fof_simplification,[status(thm)],[empty_set])).
% 0.21/0.56 fof(c58,plain,(![X31]:~member(X31,empty_set)),inference(variable_rename,[status(thm)],[c57])).
% 0.21/0.56 cnf(c59,plain,~member(X59,empty_set),inference(split_conjunct,[status(thm)],[c58])).
% 0.21/0.56 fof(subset,axiom,(![A]:(![B]:(subset(A,B)<=>(![X]:(member(X,A)=>member(X,B)))))),file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax', subset)).
% 0.21/0.56 fof(c90,plain,(![A]:(![B]:((~subset(A,B)|(![X]:(~member(X,A)|member(X,B))))&((?[X]:(member(X,A)&~member(X,B)))|subset(A,B))))),inference(fof_nnf,[status(thm)],[subset])).
% 0.21/0.56 fof(c91,plain,((![A]:(![B]:(~subset(A,B)|(![X]:(~member(X,A)|member(X,B))))))&(![A]:(![B]:((?[X]:(member(X,A)&~member(X,B)))|subset(A,B))))),inference(shift_quantors,[status(thm)],[c90])).
% 0.21/0.56 fof(c92,plain,((![X52]:(![X53]:(~subset(X52,X53)|(![X54]:(~member(X54,X52)|member(X54,X53))))))&(![X55]:(![X56]:((?[X57]:(member(X57,X55)&~member(X57,X56)))|subset(X55,X56))))),inference(variable_rename,[status(thm)],[c91])).
% 0.21/0.56 fof(c94,plain,(![X52]:(![X53]:(![X54]:(![X55]:(![X56]:((~subset(X52,X53)|(~member(X54,X52)|member(X54,X53)))&((member(skolem0004(X55,X56),X55)&~member(skolem0004(X55,X56),X56))|subset(X55,X56)))))))),inference(shift_quantors,[status(thm)],[fof(c93,plain,((![X52]:(![X53]:(~subset(X52,X53)|(![X54]:(~member(X54,X52)|member(X54,X53))))))&(![X55]:(![X56]:((member(skolem0004(X55,X56),X55)&~member(skolem0004(X55,X56),X56))|subset(X55,X56))))),inference(skolemize,[status(esa)],[c92])).])).
% 0.21/0.56 fof(c95,plain,(![X52]:(![X53]:(![X54]:(![X55]:(![X56]:((~subset(X52,X53)|(~member(X54,X52)|member(X54,X53)))&((member(skolem0004(X55,X56),X55)|subset(X55,X56))&(~member(skolem0004(X55,X56),X56)|subset(X55,X56))))))))),inference(distribute,[status(thm)],[c94])).
% 0.21/0.56 cnf(c97,plain,member(skolem0004(X145,X146),X145)|subset(X145,X146),inference(split_conjunct,[status(thm)],[c95])).
% 0.21/0.56 cnf(c133,plain,subset(empty_set,X147),inference(resolution,[status(thm)],[c97, c59])).
% 0.21/0.56 cnf(c143,plain,$false,inference(resolution,[status(thm)],[c133, c15])).
% 0.21/0.56 % SZS output end CNFRefutation
% 0.21/0.56
% 0.21/0.56 % Initial clauses : 44
% 0.21/0.56 % Processed clauses : 36
% 0.21/0.56 % Factors computed : 5
% 0.21/0.56 % Resolvents computed: 43
% 0.21/0.56 % Tautologies deleted: 2
% 0.21/0.56 % Forward subsumed : 4
% 0.21/0.56 % Backward subsumed : 0
% 0.21/0.56 % -------- CPU Time ---------
% 0.21/0.56 % User time : 0.198 s
% 0.21/0.56 % System time : 0.014 s
% 0.21/0.56 % Total time : 0.212 s
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