TSTP Solution File: SET925+1 by PyRes---1.5

View Problem - Process Solution

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% File     : PyRes---1.5
% Problem  : SET925+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n011.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 17:40:22 EDT 2024

% Result   : Theorem 0.23s 0.59s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SET925+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.36  % Computer : n011.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Wed May  8 19:27:53 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 0.23/0.59  % Version:  1.5
% 0.23/0.59  % SZS status Theorem
% 0.23/0.59  % SZS output start CNFRefutation
% 0.23/0.59  fof(l36_zfmisc_1,axiom,(![A]:(![B]:(set_difference(singleton(A),B)=empty_set<=>in(A,B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', l36_zfmisc_1)).
% 0.23/0.59  fof(c4,plain,(![A]:(![B]:((set_difference(singleton(A),B)!=empty_set|in(A,B))&(~in(A,B)|set_difference(singleton(A),B)=empty_set)))),inference(fof_nnf,[status(thm)],[l36_zfmisc_1])).
% 0.23/0.59  fof(c5,plain,((![A]:(![B]:(set_difference(singleton(A),B)!=empty_set|in(A,B))))&(![A]:(![B]:(~in(A,B)|set_difference(singleton(A),B)=empty_set)))),inference(shift_quantors,[status(thm)],[c4])).
% 0.23/0.59  fof(c7,plain,(![X2]:(![X3]:(![X4]:(![X5]:((set_difference(singleton(X2),X3)!=empty_set|in(X2,X3))&(~in(X4,X5)|set_difference(singleton(X4),X5)=empty_set)))))),inference(shift_quantors,[status(thm)],[fof(c6,plain,((![X2]:(![X3]:(set_difference(singleton(X2),X3)!=empty_set|in(X2,X3))))&(![X4]:(![X5]:(~in(X4,X5)|set_difference(singleton(X4),X5)=empty_set)))),inference(variable_rename,[status(thm)],[c5])).])).
% 0.23/0.59  cnf(c8,plain,set_difference(singleton(X35),X36)!=empty_set|in(X35,X36),inference(split_conjunct,[status(thm)],[c7])).
% 0.23/0.59  fof(t68_zfmisc_1,conjecture,(![A]:(![B]:(set_difference(singleton(A),B)=empty_set<=>in(A,B)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', t68_zfmisc_1)).
% 0.23/0.59  fof(c10,negated_conjecture,(~(![A]:(![B]:(set_difference(singleton(A),B)=empty_set<=>in(A,B))))),inference(assume_negation,[status(cth)],[t68_zfmisc_1])).
% 0.23/0.59  fof(c11,negated_conjecture,(?[A]:(?[B]:((set_difference(singleton(A),B)!=empty_set|~in(A,B))&(set_difference(singleton(A),B)=empty_set|in(A,B))))),inference(fof_nnf,[status(thm)],[c10])).
% 0.23/0.59  fof(c12,negated_conjecture,(?[X6]:(?[X7]:((set_difference(singleton(X6),X7)!=empty_set|~in(X6,X7))&(set_difference(singleton(X6),X7)=empty_set|in(X6,X7))))),inference(variable_rename,[status(thm)],[c11])).
% 0.23/0.59  fof(c13,negated_conjecture,((set_difference(singleton(skolem0001),skolem0002)!=empty_set|~in(skolem0001,skolem0002))&(set_difference(singleton(skolem0001),skolem0002)=empty_set|in(skolem0001,skolem0002))),inference(skolemize,[status(esa)],[c12])).
% 0.23/0.59  cnf(c15,negated_conjecture,set_difference(singleton(skolem0001),skolem0002)=empty_set|in(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c13])).
% 0.23/0.59  cnf(c46,plain,in(skolem0001,skolem0002),inference(resolution,[status(thm)],[c15, c8])).
% 0.23/0.59  cnf(c14,negated_conjecture,set_difference(singleton(skolem0001),skolem0002)!=empty_set|~in(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c13])).
% 0.23/0.59  cnf(c9,plain,~in(X41,X42)|set_difference(singleton(X41),X42)=empty_set,inference(split_conjunct,[status(thm)],[c7])).
% 0.23/0.59  cnf(c49,plain,set_difference(singleton(skolem0001),skolem0002)=empty_set,inference(resolution,[status(thm)],[c15, c9])).
% 0.23/0.59  cnf(c56,plain,~in(skolem0001,skolem0002),inference(resolution,[status(thm)],[c49, c14])).
% 0.23/0.59  cnf(c62,plain,$false,inference(resolution,[status(thm)],[c56, c46])).
% 0.23/0.59  % SZS output end CNFRefutation
% 0.23/0.59  
% 0.23/0.59  % Initial clauses    : 15
% 0.23/0.59  % Processed clauses  : 22
% 0.23/0.59  % Factors computed   : 3
% 0.23/0.59  % Resolvents computed: 32
% 0.23/0.59  % Tautologies deleted: 4
% 0.23/0.59  % Forward subsumed   : 5
% 0.23/0.59  % Backward subsumed  : 2
% 0.23/0.59  % -------- CPU Time ---------
% 0.23/0.59  % User time          : 0.204 s
% 0.23/0.59  % System time        : 0.017 s
% 0.23/0.59  % Total time         : 0.221 s
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