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PyRes---1.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET933+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n012.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 17:40:24 EDT 2024

% Result   : Theorem 0.38s 0.57s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET933+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n012.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 : Wed May  8 18:14:53 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.38/0.57  % Version:  1.5
% 0.38/0.57  % SZS status Theorem
% 0.38/0.57  % SZS output start CNFRefutation
% 0.38/0.57  fof(t80_zfmisc_1,conjecture,(![A]:subset(singleton(A),powerset(A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t80_zfmisc_1)).
% 0.38/0.57  fof(c5,negated_conjecture,(~(![A]:subset(singleton(A),powerset(A)))),inference(assume_negation,[status(cth)],[t80_zfmisc_1])).
% 0.38/0.57  fof(c6,negated_conjecture,(?[A]:~subset(singleton(A),powerset(A))),inference(fof_nnf,[status(thm)],[c5])).
% 0.38/0.57  fof(c7,negated_conjecture,(?[X2]:~subset(singleton(X2),powerset(X2))),inference(variable_rename,[status(thm)],[c6])).
% 0.38/0.57  fof(c8,negated_conjecture,~subset(singleton(skolem0001),powerset(skolem0001)),inference(skolemize,[status(esa)],[c7])).
% 0.38/0.57  cnf(c9,negated_conjecture,~subset(singleton(skolem0001),powerset(skolem0001)),inference(split_conjunct,[status(thm)],[c8])).
% 0.38/0.57  fof(l2_zfmisc_1,axiom,(![A]:(![B]:(subset(singleton(A),B)<=>in(A,B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', l2_zfmisc_1)).
% 0.38/0.57  fof(c20,plain,(![A]:(![B]:((~subset(singleton(A),B)|in(A,B))&(~in(A,B)|subset(singleton(A),B))))),inference(fof_nnf,[status(thm)],[l2_zfmisc_1])).
% 0.38/0.57  fof(c21,plain,((![A]:(![B]:(~subset(singleton(A),B)|in(A,B))))&(![A]:(![B]:(~in(A,B)|subset(singleton(A),B))))),inference(shift_quantors,[status(thm)],[c20])).
% 0.38/0.57  fof(c23,plain,(![X6]:(![X7]:(![X8]:(![X9]:((~subset(singleton(X6),X7)|in(X6,X7))&(~in(X8,X9)|subset(singleton(X8),X9))))))),inference(shift_quantors,[status(thm)],[fof(c22,plain,((![X6]:(![X7]:(~subset(singleton(X6),X7)|in(X6,X7))))&(![X8]:(![X9]:(~in(X8,X9)|subset(singleton(X8),X9))))),inference(variable_rename,[status(thm)],[c21])).])).
% 0.38/0.57  cnf(c25,plain,~in(X47,X46)|subset(singleton(X47),X46),inference(split_conjunct,[status(thm)],[c23])).
% 0.38/0.57  fof(reflexivity_r1_tarski,axiom,(![A]:(![B]:subset(A,A))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 0.38/0.57  fof(c10,plain,(![A]:subset(A,A)),inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])).
% 0.38/0.57  fof(c11,plain,(![X3]:subset(X3,X3)),inference(variable_rename,[status(thm)],[c10])).
% 0.38/0.57  cnf(c12,plain,subset(X20,X20),inference(split_conjunct,[status(thm)],[c11])).
% 0.38/0.57  cnf(reflexivity,axiom,X19=X19,theory(equality)).
% 0.38/0.57  fof(d1_zfmisc_1,axiom,(![A]:(![B]:(B=powerset(A)<=>(![C]:(in(C,B)<=>subset(C,A)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_zfmisc_1)).
% 0.38/0.57  fof(c26,plain,(![A]:(![B]:((B!=powerset(A)|(![C]:((~in(C,B)|subset(C,A))&(~subset(C,A)|in(C,B)))))&((?[C]:((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))|B=powerset(A))))),inference(fof_nnf,[status(thm)],[d1_zfmisc_1])).
% 0.38/0.57  fof(c27,plain,((![A]:(![B]:(B!=powerset(A)|((![C]:(~in(C,B)|subset(C,A)))&(![C]:(~subset(C,A)|in(C,B)))))))&(![A]:(![B]:((?[C]:((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))|B=powerset(A))))),inference(shift_quantors,[status(thm)],[c26])).
% 0.38/0.57  fof(c28,plain,((![X10]:(![X11]:(X11!=powerset(X10)|((![X12]:(~in(X12,X11)|subset(X12,X10)))&(![X13]:(~subset(X13,X10)|in(X13,X11)))))))&(![X14]:(![X15]:((?[X16]:((~in(X16,X15)|~subset(X16,X14))&(in(X16,X15)|subset(X16,X14))))|X15=powerset(X14))))),inference(variable_rename,[status(thm)],[c27])).
% 0.38/0.57  fof(c30,plain,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:((X11!=powerset(X10)|((~in(X12,X11)|subset(X12,X10))&(~subset(X13,X10)|in(X13,X11))))&(((~in(skolem0004(X14,X15),X15)|~subset(skolem0004(X14,X15),X14))&(in(skolem0004(X14,X15),X15)|subset(skolem0004(X14,X15),X14)))|X15=powerset(X14))))))))),inference(shift_quantors,[status(thm)],[fof(c29,plain,((![X10]:(![X11]:(X11!=powerset(X10)|((![X12]:(~in(X12,X11)|subset(X12,X10)))&(![X13]:(~subset(X13,X10)|in(X13,X11)))))))&(![X14]:(![X15]:(((~in(skolem0004(X14,X15),X15)|~subset(skolem0004(X14,X15),X14))&(in(skolem0004(X14,X15),X15)|subset(skolem0004(X14,X15),X14)))|X15=powerset(X14))))),inference(skolemize,[status(esa)],[c28])).])).
% 0.38/0.57  fof(c31,plain,(![X10]:(![X11]:(![X12]:(![X13]:(![X14]:(![X15]:(((X11!=powerset(X10)|(~in(X12,X11)|subset(X12,X10)))&(X11!=powerset(X10)|(~subset(X13,X10)|in(X13,X11))))&(((~in(skolem0004(X14,X15),X15)|~subset(skolem0004(X14,X15),X14))|X15=powerset(X14))&((in(skolem0004(X14,X15),X15)|subset(skolem0004(X14,X15),X14))|X15=powerset(X14)))))))))),inference(distribute,[status(thm)],[c30])).
% 0.38/0.57  cnf(c33,plain,X58!=powerset(X60)|~subset(X59,X60)|in(X59,X58),inference(split_conjunct,[status(thm)],[c31])).
% 0.38/0.57  cnf(c52,plain,~subset(X62,X61)|in(X62,powerset(X61)),inference(resolution,[status(thm)],[c33, reflexivity])).
% 0.38/0.57  cnf(c53,plain,in(X63,powerset(X63)),inference(resolution,[status(thm)],[c52, c12])).
% 0.38/0.57  cnf(c54,plain,subset(singleton(X70),powerset(X70)),inference(resolution,[status(thm)],[c53, c25])).
% 0.38/0.57  cnf(c62,plain,$false,inference(resolution,[status(thm)],[c54, c9])).
% 0.38/0.57  % SZS output end CNFRefutation
% 0.38/0.57  
% 0.38/0.57  % Initial clauses    : 19
% 0.38/0.57  % Processed clauses  : 25
% 0.38/0.57  % Factors computed   : 2
% 0.38/0.57  % Resolvents computed: 21
% 0.38/0.57  % Tautologies deleted: 3
% 0.38/0.57  % Forward subsumed   : 5
% 0.38/0.57  % Backward subsumed  : 0
% 0.38/0.57  % -------- CPU Time ---------
% 0.38/0.57  % User time          : 0.205 s
% 0.38/0.57  % System time        : 0.018 s
% 0.38/0.57  % Total time         : 0.223 s
%------------------------------------------------------------------------------