TSTP Solution File: SYN075+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SYN075+1 : TPTP v8.1.0. Released v2.0.0.
% 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  : 600s
% DateTime : Thu Jul 21 11:25:12 EDT 2022

% Result   : Theorem 2.63s 2.85s
% Output   : Refutation 2.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN075+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n028.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  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 05:41:14 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 2.63/2.85  # Version:  1.3
% 2.63/2.85  # SZS status Theorem
% 2.63/2.85  # SZS output start CNFRefutation
% 2.63/2.85  fof(pel52_1,axiom,(?[Z]:(?[W]:(![X]:(![Y]:(big_f(X,Y)<=>(X=Z&Y=W)))))),input).
% 2.63/2.85  fof(c12,axiom,(?[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])).
% 2.63/2.85  fof(c13,axiom,(?[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])).
% 2.63/2.85  fof(c14,axiom,(?[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])).
% 2.63/2.85  fof(c16,axiom,(![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,axiom,((![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])).])).
% 2.63/2.85  fof(c17,axiom,(![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])).
% 2.63/2.85  cnf(c19,axiom,~big_f(X21,X22)|X22=skolem0005,inference(split_conjunct,status(thm),[c17])).
% 2.63/2.85  cnf(reflexivity,axiom,X15=X15,eq_axiom).
% 2.63/2.85  fof(pel52,conjecture,(?[W]:(![Y]:((?[Z]:(![X]:(big_f(X,Y)<=>X=Z)))<=>Y=W))),input).
% 2.63/2.85  fof(c1,negated_conjecture,(~(?[W]:(![Y]:((?[Z]:(![X]:(big_f(X,Y)<=>X=Z)))<=>Y=W)))),inference(assume_negation,status(cth),[pel52])).
% 2.63/2.85  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])).
% 2.63/2.85  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])).
% 2.63/2.85  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])).
% 2.63/2.85  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])).])).
% 2.63/2.85  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])).
% 2.63/2.85  cnf(c11,negated_conjecture,X43!=skolem0003(X42)|big_f(X43,skolem0001(X42))|skolem0001(X42)=X42,inference(split_conjunct,status(thm),[c7])).
% 2.63/2.85  cnf(c30,plain,big_f(skolem0003(X44),skolem0001(X44))|skolem0001(X44)=X44,inference(resolution,status(thm),[c11, reflexivity])).
% 2.63/2.85  cnf(c31,plain,skolem0001(X45)=X45|skolem0001(X45)=skolem0005,inference(resolution,status(thm),[c30, c19])).
% 2.63/2.85  cnf(c40,plain,skolem0001(skolem0005)=skolem0005,inference(factor,status(thm),[c31])).
% 2.63/2.85  cnf(c18,axiom,~big_f(X19,X20)|X19=skolem0004,inference(split_conjunct,status(thm),[c17])).
% 2.63/2.85  cnf(c20,axiom,X29!=skolem0004|X28!=skolem0005|big_f(X29,X28),inference(split_conjunct,status(thm),[c17])).
% 2.63/2.85  cnf(c50,plain,X48!=skolem0004|big_f(X48,skolem0001(skolem0005)),inference(resolution,status(thm),[c40, c20])).
% 2.63/2.85  cnf(c9,negated_conjecture,big_f(skolem0002(X47,X46),skolem0001(X47))|skolem0002(X47,X46)=X46|skolem0001(X47)!=X47,inference(split_conjunct,status(thm),[c7])).
% 2.63/2.85  cnf(c56,plain,big_f(skolem0002(skolem0005,X119),skolem0001(skolem0005))|skolem0002(skolem0005,X119)=X119,inference(resolution,status(thm),[c9, c40])).
% 2.63/2.85  cnf(c498,plain,big_f(skolem0002(skolem0005,skolem0004),skolem0001(skolem0005)),inference(resolution,status(thm),[c56, c50])).
% 2.63/2.85  cnf(c500,plain,skolem0002(skolem0005,skolem0004)=skolem0004,inference(resolution,status(thm),[c498, c18])).
% 2.63/2.85  cnf(c8,negated_conjecture,~big_f(skolem0002(X41,X40),skolem0001(X41))|skolem0002(X41,X40)!=X40|skolem0001(X41)!=X41,inference(split_conjunct,status(thm),[c7])).
% 2.63/2.85  cnf(c503,plain,skolem0002(skolem0005,skolem0004)!=skolem0004|skolem0001(skolem0005)!=skolem0005,inference(resolution,status(thm),[c498, c8])).
% 2.63/2.85  cnf(c7519,plain,skolem0001(skolem0005)!=skolem0005,inference(resolution,status(thm),[c503, c500])).
% 2.63/2.85  cnf(c7553,plain,$false,inference(resolution,status(thm),[c7519, c40])).
% 2.63/2.85  # SZS output end CNFRefutation
% 2.63/2.85  
% 2.63/2.85  # Initial clauses    : 11
% 2.63/2.85  # Processed clauses  : 238
% 2.63/2.85  # Factors computed   : 11
% 2.63/2.85  # Resolvents computed: 7530
% 2.63/2.85  # Tautologies deleted: 1
% 2.63/2.85  # Forward subsumed   : 592
% 2.63/2.85  # Backward subsumed  : 4
% 2.63/2.85  # -------- CPU Time ---------
% 2.63/2.85  # User time          : 2.498 s
% 2.63/2.85  # System time        : 0.025 s
% 2.63/2.85  # Total time         : 2.523 s
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