TSTP Solution File: SET899+1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET899+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n003.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 17:40:19 EDT 2024

% Result   : Theorem 0.17s 0.50s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET899+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed May  8 18:29:38 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.17/0.50  % Version:  1.5
% 0.17/0.50  % SZS status Theorem
% 0.17/0.50  % SZS output start CNFRefutation
% 0.17/0.50  fof(t40_zfmisc_1,conjecture,(![A]:(![B]:(![C]:(subset(A,B)=>(in(C,A)|subset(A,set_difference(B,singleton(C)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t40_zfmisc_1)).
% 0.17/0.50  fof(c5,negated_conjecture,(~(![A]:(![B]:(![C]:(subset(A,B)=>(in(C,A)|subset(A,set_difference(B,singleton(C))))))))),inference(assume_negation,[status(cth)],[t40_zfmisc_1])).
% 0.17/0.50  fof(c6,negated_conjecture,(?[A]:(?[B]:(?[C]:(subset(A,B)&(~in(C,A)&~subset(A,set_difference(B,singleton(C)))))))),inference(fof_nnf,[status(thm)],[c5])).
% 0.17/0.50  fof(c7,negated_conjecture,(?[A]:(?[B]:(subset(A,B)&(?[C]:(~in(C,A)&~subset(A,set_difference(B,singleton(C)))))))),inference(shift_quantors,[status(thm)],[c6])).
% 0.17/0.50  fof(c8,negated_conjecture,(?[X5]:(?[X6]:(subset(X5,X6)&(?[X7]:(~in(X7,X5)&~subset(X5,set_difference(X6,singleton(X7)))))))),inference(variable_rename,[status(thm)],[c7])).
% 0.17/0.50  fof(c9,negated_conjecture,(subset(skolem0001,skolem0002)&(~in(skolem0003,skolem0001)&~subset(skolem0001,set_difference(skolem0002,singleton(skolem0003))))),inference(skolemize,[status(esa)],[c8])).
% 0.17/0.50  cnf(c11,negated_conjecture,~in(skolem0003,skolem0001),inference(split_conjunct,[status(thm)],[c9])).
% 0.17/0.50  cnf(c12,negated_conjecture,~subset(skolem0001,set_difference(skolem0002,singleton(skolem0003))),inference(split_conjunct,[status(thm)],[c9])).
% 0.17/0.50  cnf(c10,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c9])).
% 0.17/0.50  fof(l3_zfmisc_1,axiom,(![A]:(![B]:(![C]:(subset(A,B)=>(in(C,A)|subset(A,set_difference(B,singleton(C)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', l3_zfmisc_1)).
% 0.17/0.50  fof(c0,plain,(![A]:(![B]:(![C]:(~subset(A,B)|(in(C,A)|subset(A,set_difference(B,singleton(C)))))))),inference(fof_nnf,[status(thm)],[l3_zfmisc_1])).
% 0.17/0.50  fof(c1,plain,(![A]:(![B]:(~subset(A,B)|(![C]:(in(C,A)|subset(A,set_difference(B,singleton(C)))))))),inference(shift_quantors,[status(thm)],[c0])).
% 0.17/0.50  fof(c3,plain,(![X2]:(![X3]:(![X4]:(~subset(X2,X3)|(in(X4,X2)|subset(X2,set_difference(X3,singleton(X4)))))))),inference(shift_quantors,[status(thm)],[fof(c2,plain,(![X2]:(![X3]:(~subset(X2,X3)|(![X4]:(in(X4,X2)|subset(X2,set_difference(X3,singleton(X4)))))))),inference(variable_rename,[status(thm)],[c1])).])).
% 0.17/0.50  cnf(c4,plain,~subset(X16,X15)|in(X14,X16)|subset(X16,set_difference(X15,singleton(X14))),inference(split_conjunct,[status(thm)],[c3])).
% 0.17/0.50  cnf(c28,plain,in(X23,skolem0001)|subset(skolem0001,set_difference(skolem0002,singleton(X23))),inference(resolution,[status(thm)],[c4, c10])).
% 0.17/0.50  cnf(c38,plain,in(skolem0003,skolem0001),inference(resolution,[status(thm)],[c28, c12])).
% 0.17/0.50  cnf(c40,plain,$false,inference(resolution,[status(thm)],[c38, c11])).
% 0.17/0.50  % SZS output end CNFRefutation
% 0.17/0.50  
% 0.17/0.50  % Initial clauses    : 8
% 0.17/0.50  % Processed clauses  : 13
% 0.17/0.50  % Factors computed   : 1
% 0.17/0.50  % Resolvents computed: 14
% 0.17/0.50  % Tautologies deleted: 0
% 0.17/0.50  % Forward subsumed   : 0
% 0.17/0.50  % Backward subsumed  : 0
% 0.17/0.50  % -------- CPU Time ---------
% 0.17/0.50  % User time          : 0.158 s
% 0.17/0.50  % System time        : 0.014 s
% 0.17/0.50  % Total time         : 0.172 s
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