TSTP Solution File: LAT382+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LAT382+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 : Sun Jul 17 06:31:48 EDT 2022
% Result : Theorem 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT382+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 29 12:08:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.56/0.74 # Version: 1.3
% 0.56/0.74 # SZS status Theorem
% 0.56/0.74 # SZS output start CNFRefutation
% 0.56/0.74 fof(m__,conjecture,xu=xv,input).
% 0.56/0.74 fof(c10,negated_conjecture,(~xu=xv),inference(assume_negation,status(cth),[m__])).
% 0.56/0.74 fof(c11,negated_conjecture,xu!=xv,inference(fof_simplification,status(thm),[c10])).
% 0.56/0.74 cnf(c12,negated_conjecture,xu!=xv,inference(split_conjunct,status(thm),[c11])).
% 0.56/0.74 fof(m__773,plain,aSet0(xT),input).
% 0.56/0.74 cnf(c40,plain,aSet0(xT),inference(split_conjunct,status(thm),[m__773])).
% 0.56/0.74 fof(m__792,plain,(((((((((((aElementOf0(xu,xT)&aElementOf0(xu,xT))&(![W0]:(aElementOf0(W0,xS)=>sdtlseqdt0(xu,W0))))&aLowerBoundOfIn0(xu,xS,xT))&(![W0]:(((aElementOf0(W0,xT)&(![W1]:(aElementOf0(W1,xS)=>sdtlseqdt0(W0,W1))))|aLowerBoundOfIn0(W0,xS,xT))=>sdtlseqdt0(W0,xu))))&aInfimumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(![W0]:(aElementOf0(W0,xS)=>sdtlseqdt0(xv,W0))))&aLowerBoundOfIn0(xv,xS,xT))&(![W0]:(((aElementOf0(W0,xT)&(![W1]:(aElementOf0(W1,xS)=>sdtlseqdt0(W0,W1))))|aLowerBoundOfIn0(W0,xS,xT))=>sdtlseqdt0(W0,xv))))&aInfimumOfIn0(xv,xS,xT)),input).
% 0.56/0.74 fof(c13,plain,((((((((((aElementOf0(xu,xT)&(![W0]:(aElementOf0(W0,xS)=>sdtlseqdt0(xu,W0))))&aLowerBoundOfIn0(xu,xS,xT))&(![W0]:(((aElementOf0(W0,xT)&(![W1]:(aElementOf0(W1,xS)=>sdtlseqdt0(W0,W1))))|aLowerBoundOfIn0(W0,xS,xT))=>sdtlseqdt0(W0,xu))))&aInfimumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(![W0]:(aElementOf0(W0,xS)=>sdtlseqdt0(xv,W0))))&aLowerBoundOfIn0(xv,xS,xT))&(![W0]:(((aElementOf0(W0,xT)&(![W1]:(aElementOf0(W1,xS)=>sdtlseqdt0(W0,W1))))|aLowerBoundOfIn0(W0,xS,xT))=>sdtlseqdt0(W0,xv))))&aInfimumOfIn0(xv,xS,xT)),inference(fof_simplification,status(thm),[m__792])).
% 0.56/0.74 fof(c14,plain,((((((((((aElementOf0(xu,xT)&(![W0]:(~aElementOf0(W0,xS)|sdtlseqdt0(xu,W0))))&aLowerBoundOfIn0(xu,xS,xT))&(![W0]:(((~aElementOf0(W0,xT)|(?[W1]:(aElementOf0(W1,xS)&~sdtlseqdt0(W0,W1))))&~aLowerBoundOfIn0(W0,xS,xT))|sdtlseqdt0(W0,xu))))&aInfimumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(![W0]:(~aElementOf0(W0,xS)|sdtlseqdt0(xv,W0))))&aLowerBoundOfIn0(xv,xS,xT))&(![W0]:(((~aElementOf0(W0,xT)|(?[W1]:(aElementOf0(W1,xS)&~sdtlseqdt0(W0,W1))))&~aLowerBoundOfIn0(W0,xS,xT))|sdtlseqdt0(W0,xv))))&aInfimumOfIn0(xv,xS,xT)),inference(fof_nnf,status(thm),[c13])).
% 0.56/0.74 fof(c15,plain,((((((((((aElementOf0(xu,xT)&(![X2]:(~aElementOf0(X2,xS)|sdtlseqdt0(xu,X2))))&aLowerBoundOfIn0(xu,xS,xT))&(![X3]:(((~aElementOf0(X3,xT)|(?[X4]:(aElementOf0(X4,xS)&~sdtlseqdt0(X3,X4))))&~aLowerBoundOfIn0(X3,xS,xT))|sdtlseqdt0(X3,xu))))&aInfimumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(![X5]:(~aElementOf0(X5,xS)|sdtlseqdt0(xv,X5))))&aLowerBoundOfIn0(xv,xS,xT))&(![X6]:(((~aElementOf0(X6,xT)|(?[X7]:(aElementOf0(X7,xS)&~sdtlseqdt0(X6,X7))))&~aLowerBoundOfIn0(X6,xS,xT))|sdtlseqdt0(X6,xv))))&aInfimumOfIn0(xv,xS,xT)),inference(variable_rename,status(thm),[c14])).
% 0.56/0.74 fof(c17,plain,(![X2]:(![X3]:(![X5]:(![X6]:((((((((((aElementOf0(xu,xT)&(~aElementOf0(X2,xS)|sdtlseqdt0(xu,X2)))&aLowerBoundOfIn0(xu,xS,xT))&(((~aElementOf0(X3,xT)|(aElementOf0(skolem0001(X3),xS)&~sdtlseqdt0(X3,skolem0001(X3))))&~aLowerBoundOfIn0(X3,xS,xT))|sdtlseqdt0(X3,xu)))&aInfimumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(~aElementOf0(X5,xS)|sdtlseqdt0(xv,X5)))&aLowerBoundOfIn0(xv,xS,xT))&(((~aElementOf0(X6,xT)|(aElementOf0(skolem0002(X6),xS)&~sdtlseqdt0(X6,skolem0002(X6))))&~aLowerBoundOfIn0(X6,xS,xT))|sdtlseqdt0(X6,xv)))&aInfimumOfIn0(xv,xS,xT)))))),inference(shift_quantors,status(thm),[fof(c16,plain,((((((((((aElementOf0(xu,xT)&(![X2]:(~aElementOf0(X2,xS)|sdtlseqdt0(xu,X2))))&aLowerBoundOfIn0(xu,xS,xT))&(![X3]:(((~aElementOf0(X3,xT)|(aElementOf0(skolem0001(X3),xS)&~sdtlseqdt0(X3,skolem0001(X3))))&~aLowerBoundOfIn0(X3,xS,xT))|sdtlseqdt0(X3,xu))))&aInfimumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(![X5]:(~aElementOf0(X5,xS)|sdtlseqdt0(xv,X5))))&aLowerBoundOfIn0(xv,xS,xT))&(![X6]:(((~aElementOf0(X6,xT)|(aElementOf0(skolem0002(X6),xS)&~sdtlseqdt0(X6,skolem0002(X6))))&~aLowerBoundOfIn0(X6,xS,xT))|sdtlseqdt0(X6,xv))))&aInfimumOfIn0(xv,xS,xT)),inference(skolemize,status(esa),[c15])).])).
% 0.56/0.74 fof(c18,plain,(![X2]:(![X3]:(![X5]:(![X6]:((((((((((aElementOf0(xu,xT)&(~aElementOf0(X2,xS)|sdtlseqdt0(xu,X2)))&aLowerBoundOfIn0(xu,xS,xT))&((((~aElementOf0(X3,xT)|aElementOf0(skolem0001(X3),xS))|sdtlseqdt0(X3,xu))&((~aElementOf0(X3,xT)|~sdtlseqdt0(X3,skolem0001(X3)))|sdtlseqdt0(X3,xu)))&(~aLowerBoundOfIn0(X3,xS,xT)|sdtlseqdt0(X3,xu))))&aInfimumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(~aElementOf0(X5,xS)|sdtlseqdt0(xv,X5)))&aLowerBoundOfIn0(xv,xS,xT))&((((~aElementOf0(X6,xT)|aElementOf0(skolem0002(X6),xS))|sdtlseqdt0(X6,xv))&((~aElementOf0(X6,xT)|~sdtlseqdt0(X6,skolem0002(X6)))|sdtlseqdt0(X6,xv)))&(~aLowerBoundOfIn0(X6,xS,xT)|sdtlseqdt0(X6,xv))))&aInfimumOfIn0(xv,xS,xT)))))),inference(distribute,status(thm),[c17])).
% 0.56/0.74 cnf(c19,plain,aElementOf0(xu,xT),inference(split_conjunct,status(thm),[c18])).
% 0.56/0.74 fof(mEOfElem,axiom,(![W0]:(aSet0(W0)=>(![W1]:(aElementOf0(W1,W0)=>aElement0(W1))))),input).
% 0.56/0.74 fof(c115,axiom,(![W0]:(~aSet0(W0)|(![W1]:(~aElementOf0(W1,W0)|aElement0(W1))))),inference(fof_nnf,status(thm),[mEOfElem])).
% 0.56/0.74 fof(c117,axiom,(![X51]:(![X52]:(~aSet0(X51)|(~aElementOf0(X52,X51)|aElement0(X52))))),inference(shift_quantors,status(thm),[fof(c116,axiom,(![X51]:(~aSet0(X51)|(![X52]:(~aElementOf0(X52,X51)|aElement0(X52))))),inference(variable_rename,status(thm),[c115])).])).
% 0.56/0.74 cnf(c118,axiom,~aSet0(X91)|~aElementOf0(X92,X91)|aElement0(X92),inference(split_conjunct,status(thm),[c117])).
% 0.56/0.74 cnf(c134,plain,~aSet0(xT)|aElement0(xu),inference(resolution,status(thm),[c118, c19])).
% 0.56/0.74 cnf(c136,plain,aElement0(xu),inference(resolution,status(thm),[c134, c40])).
% 0.56/0.74 cnf(c26,plain,aElementOf0(xv,xT),inference(split_conjunct,status(thm),[c18])).
% 0.56/0.74 cnf(c135,plain,~aSet0(xT)|aElement0(xv),inference(resolution,status(thm),[c118, c26])).
% 0.56/0.74 cnf(c141,plain,aElement0(xv),inference(resolution,status(thm),[c135, c40])).
% 0.56/0.74 cnf(c21,plain,aLowerBoundOfIn0(xu,xS,xT),inference(split_conjunct,status(thm),[c18])).
% 0.56/0.74 cnf(c32,plain,~aLowerBoundOfIn0(X106,xS,xT)|sdtlseqdt0(X106,xv),inference(split_conjunct,status(thm),[c18])).
% 0.56/0.74 cnf(c147,plain,sdtlseqdt0(xu,xv),inference(resolution,status(thm),[c32, c21])).
% 0.56/0.74 cnf(c29,plain,aLowerBoundOfIn0(xv,xS,xT),inference(split_conjunct,status(thm),[c18])).
% 0.56/0.74 cnf(c24,plain,~aLowerBoundOfIn0(X99,xS,xT)|sdtlseqdt0(X99,xu),inference(split_conjunct,status(thm),[c18])).
% 0.56/0.74 cnf(c145,plain,sdtlseqdt0(xv,xu),inference(resolution,status(thm),[c24, c29])).
% 0.56/0.74 fof(mASymm,axiom,(![W0]:(![W1]:((aElement0(W0)&aElement0(W1))=>((sdtlseqdt0(W0,W1)&sdtlseqdt0(W1,W0))=>W0=W1)))),input).
% 0.56/0.74 fof(c90,axiom,(![W0]:(![W1]:((~aElement0(W0)|~aElement0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1)))),inference(fof_nnf,status(thm),[mASymm])).
% 0.56/0.74 fof(c91,axiom,(![X40]:(![X41]:((~aElement0(X40)|~aElement0(X41))|((~sdtlseqdt0(X40,X41)|~sdtlseqdt0(X41,X40))|X40=X41)))),inference(variable_rename,status(thm),[c90])).
% 0.56/0.74 cnf(c92,axiom,~aElement0(X218)|~aElement0(X219)|~sdtlseqdt0(X218,X219)|~sdtlseqdt0(X219,X218)|X218=X219,inference(split_conjunct,status(thm),[c91])).
% 0.56/0.74 cnf(c276,plain,~aElement0(xu)|~aElement0(xv)|~sdtlseqdt0(xu,xv)|xu=xv,inference(resolution,status(thm),[c92, c145])).
% 0.56/0.74 cnf(c553,plain,~aElement0(xu)|~aElement0(xv)|xu=xv,inference(resolution,status(thm),[c276, c147])).
% 0.56/0.74 cnf(c554,plain,~aElement0(xu)|xu=xv,inference(resolution,status(thm),[c553, c141])).
% 0.56/0.74 cnf(c555,plain,xu=xv,inference(resolution,status(thm),[c554, c136])).
% 0.56/0.74 cnf(c560,plain,$false,inference(resolution,status(thm),[c555, c12])).
% 0.56/0.74 # SZS output end CNFRefutation
% 0.56/0.74
% 0.56/0.74 # Initial clauses : 65
% 0.56/0.74 # Processed clauses : 181
% 0.56/0.74 # Factors computed : 0
% 0.56/0.74 # Resolvents computed: 447
% 0.56/0.74 # Tautologies deleted: 12
% 0.56/0.74 # Forward subsumed : 96
% 0.56/0.74 # Backward subsumed : 21
% 0.56/0.74 # -------- CPU Time ---------
% 0.56/0.74 # User time : 0.378 s
% 0.56/0.74 # System time : 0.014 s
% 0.56/0.74 # Total time : 0.392 s
%------------------------------------------------------------------------------