TSTP Solution File: SYN075+1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SYN075+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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 17:47:18 EDT 2024

% Result   : Theorem 3.72s 3.92s
% Output   : Refutation 3.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN075+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n020.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 20:28:23 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 3.72/3.92  % Version:  1.5
% 3.72/3.92  % SZS status Theorem
% 3.72/3.92  % SZS output start CNFRefutation
% 3.72/3.92  fof(pel52_1,axiom,(?[Z]:(?[W]:(![X]:(![Y]:(big_f(X,Y)<=>(X=Z&Y=W)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', pel52_1)).
% 3.72/3.92  fof(c12,plain,(?[Z]:(?[W]:(![X]:(![Y]:((~big_f(X,Y)|(X=Z&Y=W))&((X!=Z|Y!=W)|big_f(X,Y))))))),inference(fof_nnf,[status(thm)],[pel52_1])).
% 3.72/3.92  fof(c13,plain,(?[Z]:(?[W]:((![X]:(![Y]:(~big_f(X,Y)|(X=Z&Y=W))))&(![X]:(![Y]:((X!=Z|Y!=W)|big_f(X,Y))))))),inference(shift_quantors,[status(thm)],[c12])).
% 3.72/3.92  fof(c14,plain,(?[X9]:(?[X10]:((![X11]:(![X12]:(~big_f(X11,X12)|(X11=X9&X12=X10))))&(![X13]:(![X14]:((X13!=X9|X14!=X10)|big_f(X13,X14))))))),inference(variable_rename,[status(thm)],[c13])).
% 3.72/3.92  fof(c16,plain,(![X11]:(![X12]:(![X13]:(![X14]:((~big_f(X11,X12)|(X11=skolem0004&X12=skolem0005))&((X13!=skolem0004|X14!=skolem0005)|big_f(X13,X14))))))),inference(shift_quantors,[status(thm)],[fof(c15,plain,((![X11]:(![X12]:(~big_f(X11,X12)|(X11=skolem0004&X12=skolem0005))))&(![X13]:(![X14]:((X13!=skolem0004|X14!=skolem0005)|big_f(X13,X14))))),inference(skolemize,[status(esa)],[c14])).])).
% 3.72/3.92  fof(c17,plain,(![X11]:(![X12]:(![X13]:(![X14]:(((~big_f(X11,X12)|X11=skolem0004)&(~big_f(X11,X12)|X12=skolem0005))&((X13!=skolem0004|X14!=skolem0005)|big_f(X13,X14))))))),inference(distribute,[status(thm)],[c16])).
% 3.72/3.92  cnf(c19,plain,~big_f(X21,X22)|X22=skolem0005,inference(split_conjunct,[status(thm)],[c17])).
% 3.72/3.92  cnf(reflexivity,axiom,X15=X15,theory(equality)).
% 3.72/3.92  fof(pel52,conjecture,(?[W]:(![Y]:((?[Z]:(![X]:(big_f(X,Y)<=>X=Z)))<=>Y=W))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', pel52)).
% 3.72/3.92  fof(c1,negated_conjecture,(~(?[W]:(![Y]:((?[Z]:(![X]:(big_f(X,Y)<=>X=Z)))<=>Y=W)))),inference(assume_negation,[status(cth)],[pel52])).
% 3.72/3.92  fof(c2,negated_conjecture,(![W]:(?[Y]:(((![Z]:(?[X]:((~big_f(X,Y)|X!=Z)&(big_f(X,Y)|X=Z))))|Y!=W)&((?[Z]:(![X]:((~big_f(X,Y)|X=Z)&(X!=Z|big_f(X,Y)))))|Y=W)))),inference(fof_nnf,[status(thm)],[c1])).
% 3.72/3.92  fof(c3,negated_conjecture,(![W]:(?[Y]:(((![Z]:(?[X]:((~big_f(X,Y)|X!=Z)&(big_f(X,Y)|X=Z))))|Y!=W)&((?[Z]:((![X]:(~big_f(X,Y)|X=Z))&(![X]:(X!=Z|big_f(X,Y)))))|Y=W)))),inference(shift_quantors,[status(thm)],[c2])).
% 3.72/3.92  fof(c4,negated_conjecture,(![X2]:(?[X3]:(((![X4]:(?[X5]:((~big_f(X5,X3)|X5!=X4)&(big_f(X5,X3)|X5=X4))))|X3!=X2)&((?[X6]:((![X7]:(~big_f(X7,X3)|X7=X6))&(![X8]:(X8!=X6|big_f(X8,X3)))))|X3=X2)))),inference(variable_rename,[status(thm)],[c3])).
% 3.72/3.92  fof(c6,negated_conjecture,(![X2]:(![X4]:(![X7]:(![X8]:((((~big_f(skolem0002(X2,X4),skolem0001(X2))|skolem0002(X2,X4)!=X4)&(big_f(skolem0002(X2,X4),skolem0001(X2))|skolem0002(X2,X4)=X4))|skolem0001(X2)!=X2)&(((~big_f(X7,skolem0001(X2))|X7=skolem0003(X2))&(X8!=skolem0003(X2)|big_f(X8,skolem0001(X2))))|skolem0001(X2)=X2)))))),inference(shift_quantors,[status(thm)],[fof(c5,negated_conjecture,(![X2]:(((![X4]:((~big_f(skolem0002(X2,X4),skolem0001(X2))|skolem0002(X2,X4)!=X4)&(big_f(skolem0002(X2,X4),skolem0001(X2))|skolem0002(X2,X4)=X4)))|skolem0001(X2)!=X2)&(((![X7]:(~big_f(X7,skolem0001(X2))|X7=skolem0003(X2)))&(![X8]:(X8!=skolem0003(X2)|big_f(X8,skolem0001(X2)))))|skolem0001(X2)=X2))),inference(skolemize,[status(esa)],[c4])).])).
% 3.72/3.92  fof(c7,negated_conjecture,(![X2]:(![X4]:(![X7]:(![X8]:((((~big_f(skolem0002(X2,X4),skolem0001(X2))|skolem0002(X2,X4)!=X4)|skolem0001(X2)!=X2)&((big_f(skolem0002(X2,X4),skolem0001(X2))|skolem0002(X2,X4)=X4)|skolem0001(X2)!=X2))&(((~big_f(X7,skolem0001(X2))|X7=skolem0003(X2))|skolem0001(X2)=X2)&((X8!=skolem0003(X2)|big_f(X8,skolem0001(X2)))|skolem0001(X2)=X2))))))),inference(distribute,[status(thm)],[c6])).
% 3.72/3.92  cnf(c11,negated_conjecture,X44!=skolem0003(X43)|big_f(X44,skolem0001(X43))|skolem0001(X43)=X43,inference(split_conjunct,[status(thm)],[c7])).
% 3.72/3.92  cnf(c31,plain,big_f(skolem0003(X45),skolem0001(X45))|skolem0001(X45)=X45,inference(resolution,[status(thm)],[c11, reflexivity])).
% 3.72/3.92  cnf(c34,plain,skolem0001(X47)=X47|skolem0001(X47)=skolem0005,inference(resolution,[status(thm)],[c31, c19])).
% 3.72/3.92  cnf(c49,plain,skolem0001(skolem0005)=skolem0005,inference(factor,[status(thm)],[c34])).
% 3.72/3.92  cnf(c18,plain,~big_f(X19,X20)|X19=skolem0004,inference(split_conjunct,[status(thm)],[c17])).
% 3.72/3.92  cnf(c20,plain,X30!=skolem0004|X29!=skolem0005|big_f(X30,X29),inference(split_conjunct,[status(thm)],[c17])).
% 3.72/3.92  cnf(c64,plain,X50!=skolem0004|big_f(X50,skolem0001(skolem0005)),inference(resolution,[status(thm)],[c49, c20])).
% 3.72/3.92  cnf(c9,negated_conjecture,big_f(skolem0002(X48,X49),skolem0001(X48))|skolem0002(X48,X49)=X49|skolem0001(X48)!=X48,inference(split_conjunct,[status(thm)],[c7])).
% 3.72/3.92  cnf(c63,plain,big_f(skolem0002(skolem0005,X154),skolem0001(skolem0005))|skolem0002(skolem0005,X154)=X154,inference(resolution,[status(thm)],[c49, c9])).
% 3.72/3.92  cnf(c728,plain,big_f(skolem0002(skolem0005,skolem0004),skolem0001(skolem0005)),inference(resolution,[status(thm)],[c63, c64])).
% 3.72/3.92  cnf(c730,plain,skolem0002(skolem0005,skolem0004)=skolem0004,inference(resolution,[status(thm)],[c728, c18])).
% 3.72/3.92  cnf(c8,negated_conjecture,~big_f(skolem0002(X39,X40),skolem0001(X39))|skolem0002(X39,X40)!=X40|skolem0001(X39)!=X39,inference(split_conjunct,[status(thm)],[c7])).
% 3.72/3.92  cnf(c734,plain,skolem0002(skolem0005,skolem0004)!=skolem0004|skolem0001(skolem0005)!=skolem0005,inference(resolution,[status(thm)],[c728, c8])).
% 3.72/3.92  cnf(c10814,plain,skolem0001(skolem0005)!=skolem0005,inference(resolution,[status(thm)],[c734, c730])).
% 3.72/3.92  cnf(c10867,plain,$false,inference(resolution,[status(thm)],[c10814, c49])).
% 3.72/3.92  % SZS output end CNFRefutation
% 3.72/3.92  
% 3.72/3.92  % Initial clauses    : 11
% 3.72/3.92  % Processed clauses  : 278
% 3.72/3.92  % Factors computed   : 11
% 3.72/3.92  % Resolvents computed: 10838
% 3.72/3.92  % Tautologies deleted: 2
% 3.72/3.92  % Forward subsumed   : 680
% 3.72/3.92  % Backward subsumed  : 3
% 3.72/3.92  % -------- CPU Time ---------
% 3.72/3.92  % User time          : 3.534 s
% 3.72/3.92  % System time        : 0.034 s
% 3.72/3.92  % Total time         : 3.568 s
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