TSTP Solution File: LAT381+3 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : LAT381+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n019.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 17:30:11 EDT 2024

% Result   : Theorem 0.61s 0.85s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : LAT381+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n019.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 12:17:53 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.61/0.85  % Version:  1.5
% 0.61/0.85  % SZS status Theorem
% 0.61/0.85  % SZS output start CNFRefutation
% 0.61/0.85  fof(m__,conjecture,xu=xv,file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 0.61/0.85  fof(c10,negated_conjecture,(~xu=xv),inference(assume_negation,[status(cth)],[m__])).
% 0.61/0.85  fof(c11,negated_conjecture,xu!=xv,inference(fof_simplification,[status(thm)],[c10])).
% 0.61/0.85  cnf(c12,negated_conjecture,xu!=xv,inference(split_conjunct,[status(thm)],[c11])).
% 0.61/0.85  cnf(symmetry,axiom,X51!=X50|X50=X51,theory(equality)).
% 0.61/0.85  fof(m__725,plain,aSet0(xT),file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__725)).
% 0.61/0.85  cnf(c40,plain,aSet0(xT),inference(split_conjunct,[status(thm)],[m__725])).
% 0.61/0.85  fof(m__744,plain,(((((((((((aElementOf0(xu,xT)&aElementOf0(xu,xT))&(![W0]:(aElementOf0(W0,xS)=>sdtlseqdt0(W0,xu))))&aUpperBoundOfIn0(xu,xS,xT))&(![W0]:(((aElementOf0(W0,xT)&(![W1]:(aElementOf0(W1,xS)=>sdtlseqdt0(W1,W0))))|aUpperBoundOfIn0(W0,xS,xT))=>sdtlseqdt0(xu,W0))))&aSupremumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(![W0]:(aElementOf0(W0,xS)=>sdtlseqdt0(W0,xv))))&aUpperBoundOfIn0(xv,xS,xT))&(![W0]:(((aElementOf0(W0,xT)&(![W1]:(aElementOf0(W1,xS)=>sdtlseqdt0(W1,W0))))|aUpperBoundOfIn0(W0,xS,xT))=>sdtlseqdt0(xv,W0))))&aSupremumOfIn0(xv,xS,xT)),file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__744)).
% 0.61/0.85  fof(c13,plain,((((((((((aElementOf0(xu,xT)&(![W0]:(aElementOf0(W0,xS)=>sdtlseqdt0(W0,xu))))&aUpperBoundOfIn0(xu,xS,xT))&(![W0]:(((aElementOf0(W0,xT)&(![W1]:(aElementOf0(W1,xS)=>sdtlseqdt0(W1,W0))))|aUpperBoundOfIn0(W0,xS,xT))=>sdtlseqdt0(xu,W0))))&aSupremumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(![W0]:(aElementOf0(W0,xS)=>sdtlseqdt0(W0,xv))))&aUpperBoundOfIn0(xv,xS,xT))&(![W0]:(((aElementOf0(W0,xT)&(![W1]:(aElementOf0(W1,xS)=>sdtlseqdt0(W1,W0))))|aUpperBoundOfIn0(W0,xS,xT))=>sdtlseqdt0(xv,W0))))&aSupremumOfIn0(xv,xS,xT)),inference(fof_simplification,[status(thm)],[m__744])).
% 0.61/0.85  fof(c14,plain,((((((((((aElementOf0(xu,xT)&(![W0]:(~aElementOf0(W0,xS)|sdtlseqdt0(W0,xu))))&aUpperBoundOfIn0(xu,xS,xT))&(![W0]:(((~aElementOf0(W0,xT)|(?[W1]:(aElementOf0(W1,xS)&~sdtlseqdt0(W1,W0))))&~aUpperBoundOfIn0(W0,xS,xT))|sdtlseqdt0(xu,W0))))&aSupremumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(![W0]:(~aElementOf0(W0,xS)|sdtlseqdt0(W0,xv))))&aUpperBoundOfIn0(xv,xS,xT))&(![W0]:(((~aElementOf0(W0,xT)|(?[W1]:(aElementOf0(W1,xS)&~sdtlseqdt0(W1,W0))))&~aUpperBoundOfIn0(W0,xS,xT))|sdtlseqdt0(xv,W0))))&aSupremumOfIn0(xv,xS,xT)),inference(fof_nnf,[status(thm)],[c13])).
% 0.61/0.85  fof(c15,plain,((((((((((aElementOf0(xu,xT)&(![X2]:(~aElementOf0(X2,xS)|sdtlseqdt0(X2,xu))))&aUpperBoundOfIn0(xu,xS,xT))&(![X3]:(((~aElementOf0(X3,xT)|(?[X4]:(aElementOf0(X4,xS)&~sdtlseqdt0(X4,X3))))&~aUpperBoundOfIn0(X3,xS,xT))|sdtlseqdt0(xu,X3))))&aSupremumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(![X5]:(~aElementOf0(X5,xS)|sdtlseqdt0(X5,xv))))&aUpperBoundOfIn0(xv,xS,xT))&(![X6]:(((~aElementOf0(X6,xT)|(?[X7]:(aElementOf0(X7,xS)&~sdtlseqdt0(X7,X6))))&~aUpperBoundOfIn0(X6,xS,xT))|sdtlseqdt0(xv,X6))))&aSupremumOfIn0(xv,xS,xT)),inference(variable_rename,[status(thm)],[c14])).
% 0.61/0.85  fof(c17,plain,(![X2]:(![X3]:(![X5]:(![X6]:((((((((((aElementOf0(xu,xT)&(~aElementOf0(X2,xS)|sdtlseqdt0(X2,xu)))&aUpperBoundOfIn0(xu,xS,xT))&(((~aElementOf0(X3,xT)|(aElementOf0(skolem0001(X3),xS)&~sdtlseqdt0(skolem0001(X3),X3)))&~aUpperBoundOfIn0(X3,xS,xT))|sdtlseqdt0(xu,X3)))&aSupremumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(~aElementOf0(X5,xS)|sdtlseqdt0(X5,xv)))&aUpperBoundOfIn0(xv,xS,xT))&(((~aElementOf0(X6,xT)|(aElementOf0(skolem0002(X6),xS)&~sdtlseqdt0(skolem0002(X6),X6)))&~aUpperBoundOfIn0(X6,xS,xT))|sdtlseqdt0(xv,X6)))&aSupremumOfIn0(xv,xS,xT)))))),inference(shift_quantors,[status(thm)],[fof(c16,plain,((((((((((aElementOf0(xu,xT)&(![X2]:(~aElementOf0(X2,xS)|sdtlseqdt0(X2,xu))))&aUpperBoundOfIn0(xu,xS,xT))&(![X3]:(((~aElementOf0(X3,xT)|(aElementOf0(skolem0001(X3),xS)&~sdtlseqdt0(skolem0001(X3),X3)))&~aUpperBoundOfIn0(X3,xS,xT))|sdtlseqdt0(xu,X3))))&aSupremumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(![X5]:(~aElementOf0(X5,xS)|sdtlseqdt0(X5,xv))))&aUpperBoundOfIn0(xv,xS,xT))&(![X6]:(((~aElementOf0(X6,xT)|(aElementOf0(skolem0002(X6),xS)&~sdtlseqdt0(skolem0002(X6),X6)))&~aUpperBoundOfIn0(X6,xS,xT))|sdtlseqdt0(xv,X6))))&aSupremumOfIn0(xv,xS,xT)),inference(skolemize,[status(esa)],[c15])).])).
% 0.61/0.85  fof(c18,plain,(![X2]:(![X3]:(![X5]:(![X6]:((((((((((aElementOf0(xu,xT)&(~aElementOf0(X2,xS)|sdtlseqdt0(X2,xu)))&aUpperBoundOfIn0(xu,xS,xT))&((((~aElementOf0(X3,xT)|aElementOf0(skolem0001(X3),xS))|sdtlseqdt0(xu,X3))&((~aElementOf0(X3,xT)|~sdtlseqdt0(skolem0001(X3),X3))|sdtlseqdt0(xu,X3)))&(~aUpperBoundOfIn0(X3,xS,xT)|sdtlseqdt0(xu,X3))))&aSupremumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(~aElementOf0(X5,xS)|sdtlseqdt0(X5,xv)))&aUpperBoundOfIn0(xv,xS,xT))&((((~aElementOf0(X6,xT)|aElementOf0(skolem0002(X6),xS))|sdtlseqdt0(xv,X6))&((~aElementOf0(X6,xT)|~sdtlseqdt0(skolem0002(X6),X6))|sdtlseqdt0(xv,X6)))&(~aUpperBoundOfIn0(X6,xS,xT)|sdtlseqdt0(xv,X6))))&aSupremumOfIn0(xv,xS,xT)))))),inference(distribute,[status(thm)],[c17])).
% 0.61/0.85  cnf(c26,plain,aElementOf0(xv,xT),inference(split_conjunct,[status(thm)],[c18])).
% 0.61/0.85  fof(mEOfElem,axiom,(![W0]:(aSet0(W0)=>(![W1]:(aElementOf0(W1,W0)=>aElement0(W1))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', mEOfElem)).
% 0.61/0.85  fof(c111,plain,(![W0]:(~aSet0(W0)|(![W1]:(~aElementOf0(W1,W0)|aElement0(W1))))),inference(fof_nnf,[status(thm)],[mEOfElem])).
% 0.61/0.85  fof(c113,plain,(![X47]:(![X48]:(~aSet0(X47)|(~aElementOf0(X48,X47)|aElement0(X48))))),inference(shift_quantors,[status(thm)],[fof(c112,plain,(![X47]:(~aSet0(X47)|(![X48]:(~aElementOf0(X48,X47)|aElement0(X48))))),inference(variable_rename,[status(thm)],[c111])).])).
% 0.61/0.85  cnf(c114,plain,~aSet0(X84)|~aElementOf0(X85,X84)|aElement0(X85),inference(split_conjunct,[status(thm)],[c113])).
% 0.61/0.85  cnf(c131,plain,~aSet0(xT)|aElement0(xv),inference(resolution,[status(thm)],[c114, c26])).
% 0.61/0.85  cnf(c133,plain,aElement0(xv),inference(resolution,[status(thm)],[c131, c40])).
% 0.61/0.85  cnf(c19,plain,aElementOf0(xu,xT),inference(split_conjunct,[status(thm)],[c18])).
% 0.61/0.85  cnf(c132,plain,~aSet0(xT)|aElement0(xu),inference(resolution,[status(thm)],[c114, c19])).
% 0.61/0.85  cnf(c136,plain,aElement0(xu),inference(resolution,[status(thm)],[c132, c40])).
% 0.61/0.85  cnf(c21,plain,aUpperBoundOfIn0(xu,xS,xT),inference(split_conjunct,[status(thm)],[c18])).
% 0.61/0.85  cnf(c32,plain,~aUpperBoundOfIn0(X97,xS,xT)|sdtlseqdt0(xv,X97),inference(split_conjunct,[status(thm)],[c18])).
% 0.61/0.85  cnf(c143,plain,sdtlseqdt0(xv,xu),inference(resolution,[status(thm)],[c32, c21])).
% 0.61/0.85  cnf(c29,plain,aUpperBoundOfIn0(xv,xS,xT),inference(split_conjunct,[status(thm)],[c18])).
% 0.61/0.85  cnf(c24,plain,~aUpperBoundOfIn0(X90,xS,xT)|sdtlseqdt0(xu,X90),inference(split_conjunct,[status(thm)],[c18])).
% 0.61/0.85  cnf(c139,plain,sdtlseqdt0(xu,xv),inference(resolution,[status(thm)],[c24, c29])).
% 0.61/0.85  fof(mASymm,axiom,(![W0]:(![W1]:((aElement0(W0)&aElement0(W1))=>((sdtlseqdt0(W0,W1)&sdtlseqdt0(W1,W0))=>W0=W1)))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', mASymm)).
% 0.61/0.85  fof(c86,plain,(![W0]:(![W1]:((~aElement0(W0)|~aElement0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1)))),inference(fof_nnf,[status(thm)],[mASymm])).
% 0.61/0.85  fof(c87,plain,(![X36]:(![X37]:((~aElement0(X36)|~aElement0(X37))|((~sdtlseqdt0(X36,X37)|~sdtlseqdt0(X37,X36))|X36=X37)))),inference(variable_rename,[status(thm)],[c86])).
% 0.61/0.85  cnf(c88,plain,~aElement0(X224)|~aElement0(X223)|~sdtlseqdt0(X224,X223)|~sdtlseqdt0(X223,X224)|X224=X223,inference(split_conjunct,[status(thm)],[c87])).
% 0.61/0.85  cnf(c325,plain,~aElement0(xv)|~aElement0(xu)|~sdtlseqdt0(xv,xu)|xv=xu,inference(resolution,[status(thm)],[c88, c139])).
% 0.61/0.85  cnf(c594,plain,~aElement0(xv)|~aElement0(xu)|xv=xu,inference(resolution,[status(thm)],[c325, c143])).
% 0.61/0.85  cnf(c595,plain,~aElement0(xv)|xv=xu,inference(resolution,[status(thm)],[c594, c136])).
% 0.61/0.85  cnf(c596,plain,xv=xu,inference(resolution,[status(thm)],[c595, c133])).
% 0.61/0.85  cnf(c600,plain,xu=xv,inference(resolution,[status(thm)],[c596, symmetry])).
% 0.61/0.85  cnf(c615,plain,$false,inference(resolution,[status(thm)],[c600, c12])).
% 0.61/0.85  % SZS output end CNFRefutation
% 0.61/0.85  
% 0.61/0.85  % Initial clauses    : 64
% 0.61/0.85  % Processed clauses  : 195
% 0.61/0.85  % Factors computed   : 10
% 0.61/0.85  % Resolvents computed: 497
% 0.61/0.85  % Tautologies deleted: 19
% 0.61/0.85  % Forward subsumed   : 116
% 0.61/0.85  % Backward subsumed  : 28
% 0.61/0.85  % -------- CPU Time ---------
% 0.61/0.85  % User time          : 0.470 s
% 0.61/0.85  % System time        : 0.023 s
% 0.61/0.85  % Total time         : 0.493 s
%------------------------------------------------------------------------------