TSTP Solution File: LAT381+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LAT381+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n017.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 0.57s 0.81s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT381+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.32 % Computer : n017.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jun 28 18:20:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.57/0.81 # Version: 1.3
% 0.57/0.81 # SZS status Theorem
% 0.57/0.81 # SZS output start CNFRefutation
% 0.57/0.81 fof(m__,conjecture,xu=xv,input).
% 0.57/0.81 fof(c10,negated_conjecture,(~xu=xv),inference(assume_negation,status(cth),[m__])).
% 0.57/0.81 fof(c11,negated_conjecture,xu!=xv,inference(fof_simplification,status(thm),[c10])).
% 0.57/0.81 cnf(c12,negated_conjecture,xu!=xv,inference(split_conjunct,status(thm),[c11])).
% 0.57/0.81 cnf(symmetry,axiom,X50!=X51|X51=X50,eq_axiom).
% 0.57/0.81 fof(m__725,plain,aSet0(xT),input).
% 0.57/0.81 cnf(c40,plain,aSet0(xT),inference(split_conjunct,status(thm),[m__725])).
% 0.57/0.81 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)),input).
% 0.57/0.81 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])).
% 0.57/0.81 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])).
% 0.57/0.81 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])).
% 0.57/0.81 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])).])).
% 0.57/0.81 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])).
% 0.57/0.81 cnf(c26,plain,aElementOf0(xv,xT),inference(split_conjunct,status(thm),[c18])).
% 0.57/0.81 fof(mEOfElem,axiom,(![W0]:(aSet0(W0)=>(![W1]:(aElementOf0(W1,W0)=>aElement0(W1))))),input).
% 0.57/0.81 fof(c111,axiom,(![W0]:(~aSet0(W0)|(![W1]:(~aElementOf0(W1,W0)|aElement0(W1))))),inference(fof_nnf,status(thm),[mEOfElem])).
% 0.57/0.81 fof(c113,axiom,(![X47]:(![X48]:(~aSet0(X47)|(~aElementOf0(X48,X47)|aElement0(X48))))),inference(shift_quantors,status(thm),[fof(c112,axiom,(![X47]:(~aSet0(X47)|(![X48]:(~aElementOf0(X48,X47)|aElement0(X48))))),inference(variable_rename,status(thm),[c111])).])).
% 0.57/0.81 cnf(c114,axiom,~aSet0(X87)|~aElementOf0(X88,X87)|aElement0(X88),inference(split_conjunct,status(thm),[c113])).
% 0.57/0.81 cnf(c131,plain,~aSet0(xT)|aElement0(xv),inference(resolution,status(thm),[c114, c26])).
% 0.57/0.81 cnf(c135,plain,aElement0(xv),inference(resolution,status(thm),[c131, c40])).
% 0.57/0.81 cnf(c19,plain,aElementOf0(xu,xT),inference(split_conjunct,status(thm),[c18])).
% 0.57/0.81 cnf(c130,plain,~aSet0(xT)|aElement0(xu),inference(resolution,status(thm),[c114, c19])).
% 0.57/0.81 cnf(c132,plain,aElement0(xu),inference(resolution,status(thm),[c130, c40])).
% 0.57/0.81 cnf(c21,plain,aUpperBoundOfIn0(xu,xS,xT),inference(split_conjunct,status(thm),[c18])).
% 0.57/0.81 cnf(c32,plain,~aUpperBoundOfIn0(X102,xS,xT)|sdtlseqdt0(xv,X102),inference(split_conjunct,status(thm),[c18])).
% 0.57/0.81 cnf(c143,plain,sdtlseqdt0(xv,xu),inference(resolution,status(thm),[c32, c21])).
% 0.57/0.81 cnf(c29,plain,aUpperBoundOfIn0(xv,xS,xT),inference(split_conjunct,status(thm),[c18])).
% 0.57/0.81 cnf(c24,plain,~aUpperBoundOfIn0(X95,xS,xT)|sdtlseqdt0(xu,X95),inference(split_conjunct,status(thm),[c18])).
% 0.57/0.81 cnf(c139,plain,sdtlseqdt0(xu,xv),inference(resolution,status(thm),[c24, c29])).
% 0.57/0.81 fof(mASymm,axiom,(![W0]:(![W1]:((aElement0(W0)&aElement0(W1))=>((sdtlseqdt0(W0,W1)&sdtlseqdt0(W1,W0))=>W0=W1)))),input).
% 0.57/0.81 fof(c86,axiom,(![W0]:(![W1]:((~aElement0(W0)|~aElement0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1)))),inference(fof_nnf,status(thm),[mASymm])).
% 0.57/0.81 fof(c87,axiom,(![X36]:(![X37]:((~aElement0(X36)|~aElement0(X37))|((~sdtlseqdt0(X36,X37)|~sdtlseqdt0(X37,X36))|X36=X37)))),inference(variable_rename,status(thm),[c86])).
% 0.57/0.81 cnf(c88,axiom,~aElement0(X210)|~aElement0(X211)|~sdtlseqdt0(X210,X211)|~sdtlseqdt0(X211,X210)|X210=X211,inference(split_conjunct,status(thm),[c87])).
% 0.57/0.81 cnf(c274,plain,~aElement0(xv)|~aElement0(xu)|~sdtlseqdt0(xv,xu)|xv=xu,inference(resolution,status(thm),[c88, c139])).
% 0.57/0.81 cnf(c549,plain,~aElement0(xv)|~aElement0(xu)|xv=xu,inference(resolution,status(thm),[c274, c143])).
% 0.57/0.81 cnf(c550,plain,~aElement0(xv)|xv=xu,inference(resolution,status(thm),[c549, c132])).
% 0.57/0.81 cnf(c551,plain,xv=xu,inference(resolution,status(thm),[c550, c135])).
% 0.57/0.81 cnf(c556,plain,xu=xv,inference(resolution,status(thm),[c551, symmetry])).
% 0.57/0.81 cnf(c573,plain,$false,inference(resolution,status(thm),[c556, c12])).
% 0.57/0.81 # SZS output end CNFRefutation
% 0.57/0.81
% 0.57/0.81 # Initial clauses : 64
% 0.57/0.81 # Processed clauses : 181
% 0.57/0.81 # Factors computed : 0
% 0.57/0.81 # Resolvents computed: 460
% 0.57/0.81 # Tautologies deleted: 12
% 0.57/0.81 # Forward subsumed : 99
% 0.57/0.81 # Backward subsumed : 21
% 0.57/0.81 # -------- CPU Time ---------
% 0.57/0.81 # User time : 0.435 s
% 0.57/0.81 # System time : 0.024 s
% 0.57/0.81 # Total time : 0.459 s
%------------------------------------------------------------------------------