TSTP Solution File: SET687+4 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET687+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n028.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 17:39:58 EDT 2024

% Result   : Theorem 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET687+4 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n028.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 : Wed May  8 18:57:23 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.57  % Version:  1.5
% 0.20/0.57  % SZS status Theorem
% 0.20/0.57  % SZS output start CNFRefutation
% 0.20/0.57  fof(thI01,conjecture,(![A]:subset(A,A)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thI01)).
% 0.20/0.57  fof(c11,negated_conjecture,(~(![A]:subset(A,A))),inference(assume_negation,[status(cth)],[thI01])).
% 0.20/0.57  fof(c12,negated_conjecture,(?[A]:~subset(A,A)),inference(fof_nnf,[status(thm)],[c11])).
% 0.20/0.57  fof(c13,negated_conjecture,(?[X2]:~subset(X2,X2)),inference(variable_rename,[status(thm)],[c12])).
% 0.20/0.57  fof(c14,negated_conjecture,~subset(skolem0001,skolem0001),inference(skolemize,[status(esa)],[c13])).
% 0.20/0.57  cnf(c15,negated_conjecture,~subset(skolem0001,skolem0001),inference(split_conjunct,[status(thm)],[c14])).
% 0.20/0.57  fof(subset,axiom,(![A]:(![B]:(subset(A,B)<=>(![X]:(member(X,A)=>member(X,B)))))),file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 0.20/0.57  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])).
% 0.20/0.57  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])).
% 0.20/0.57  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])).
% 0.20/0.57  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])).])).
% 0.20/0.57  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])).
% 0.20/0.57  cnf(c97,plain,member(skolem0004(X146,X145),X146)|subset(X146,X145),inference(split_conjunct,[status(thm)],[c95])).
% 0.20/0.57  cnf(c98,plain,~member(skolem0004(X162,X161),X161)|subset(X162,X161),inference(split_conjunct,[status(thm)],[c95])).
% 0.20/0.57  cnf(c157,plain,subset(X163,X163),inference(resolution,[status(thm)],[c98, c97])).
% 0.20/0.57  cnf(c158,plain,$false,inference(resolution,[status(thm)],[c157, c15])).
% 0.20/0.57  % SZS output end CNFRefutation
% 0.20/0.57  
% 0.20/0.57  % Initial clauses    : 44
% 0.20/0.57  % Processed clauses  : 43
% 0.20/0.57  % Factors computed   : 5
% 0.20/0.57  % Resolvents computed: 56
% 0.20/0.57  % Tautologies deleted: 2
% 0.20/0.57  % Forward subsumed   : 6
% 0.20/0.57  % Backward subsumed  : 0
% 0.20/0.57  % -------- CPU Time ---------
% 0.20/0.57  % User time          : 0.201 s
% 0.20/0.57  % System time        : 0.022 s
% 0.20/0.57  % Total time         : 0.223 s
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