TSTP Solution File: LAT382+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LAT382+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 0.48s 0.71s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT382+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.32 % Computer : n005.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Tue Jun 28 19:11:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.48/0.71 # Version: 1.3
% 0.48/0.71 # SZS status Theorem
% 0.48/0.71 # SZS output start CNFRefutation
% 0.48/0.71 fof(m__,conjecture,xu=xv,input).
% 0.48/0.71 fof(c10,negated_conjecture,(~xu=xv),inference(assume_negation,status(cth),[m__])).
% 0.48/0.71 fof(c11,negated_conjecture,xu!=xv,inference(fof_simplification,status(thm),[c10])).
% 0.48/0.71 cnf(c12,negated_conjecture,xu!=xv,inference(split_conjunct,status(thm),[c11])).
% 0.48/0.71 fof(m__773,plain,aSet0(xT),input).
% 0.48/0.71 cnf(c16,plain,aSet0(xT),inference(split_conjunct,status(thm),[m__773])).
% 0.48/0.71 fof(mEOfElem,axiom,(![W0]:(aSet0(W0)=>(![W1]:(aElementOf0(W1,W0)=>aElement0(W1))))),input).
% 0.48/0.71 fof(c91,axiom,(![W0]:(~aSet0(W0)|(![W1]:(~aElementOf0(W1,W0)|aElement0(W1))))),inference(fof_nnf,status(thm),[mEOfElem])).
% 0.48/0.71 fof(c93,axiom,(![X44]:(![X45]:(~aSet0(X44)|(~aElementOf0(X45,X44)|aElement0(X45))))),inference(shift_quantors,status(thm),[fof(c92,axiom,(![X44]:(~aSet0(X44)|(![X45]:(~aElementOf0(X45,X44)|aElement0(X45))))),inference(variable_rename,status(thm),[c91])).])).
% 0.48/0.71 cnf(c94,axiom,~aSet0(X77)|~aElementOf0(X78,X77)|aElement0(X78),inference(split_conjunct,status(thm),[c93])).
% 0.48/0.71 fof(m__773_01,plain,aSubsetOf0(xS,xT),input).
% 0.48/0.71 cnf(c15,plain,aSubsetOf0(xS,xT),inference(split_conjunct,status(thm),[m__773_01])).
% 0.48/0.71 fof(m__792,plain,(aInfimumOfIn0(xu,xS,xT)&aInfimumOfIn0(xv,xS,xT)),input).
% 0.48/0.71 cnf(c13,plain,aInfimumOfIn0(xu,xS,xT),inference(split_conjunct,status(thm),[m__792])).
% 0.48/0.71 fof(mDefInf,plain,(![W0]:(aSet0(W0)=>(![W1]:(aSubsetOf0(W1,W0)=>(![W2]:(aInfimumOfIn0(W2,W1,W0)<=>((aElementOf0(W2,W0)&aLowerBoundOfIn0(W2,W1,W0))&(![W3]:(aLowerBoundOfIn0(W3,W1,W0)=>sdtlseqdt0(W3,W2)))))))))),input).
% 0.48/0.71 fof(c32,plain,(![W0]:(~aSet0(W0)|(![W1]:(~aSubsetOf0(W1,W0)|(![W2]:((~aInfimumOfIn0(W2,W1,W0)|((aElementOf0(W2,W0)&aLowerBoundOfIn0(W2,W1,W0))&(![W3]:(~aLowerBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W3,W2)))))&(((~aElementOf0(W2,W0)|~aLowerBoundOfIn0(W2,W1,W0))|(?[W3]:(aLowerBoundOfIn0(W3,W1,W0)&~sdtlseqdt0(W3,W2))))|aInfimumOfIn0(W2,W1,W0)))))))),inference(fof_nnf,status(thm),[mDefInf])).
% 0.48/0.71 fof(c33,plain,(![W0]:(~aSet0(W0)|(![W1]:(~aSubsetOf0(W1,W0)|((![W2]:(~aInfimumOfIn0(W2,W1,W0)|((aElementOf0(W2,W0)&aLowerBoundOfIn0(W2,W1,W0))&(![W3]:(~aLowerBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W3,W2))))))&(![W2]:(((~aElementOf0(W2,W0)|~aLowerBoundOfIn0(W2,W1,W0))|(?[W3]:(aLowerBoundOfIn0(W3,W1,W0)&~sdtlseqdt0(W3,W2))))|aInfimumOfIn0(W2,W1,W0)))))))),inference(shift_quantors,status(thm),[c32])).
% 0.48/0.71 fof(c34,plain,(![X12]:(~aSet0(X12)|(![X13]:(~aSubsetOf0(X13,X12)|((![X14]:(~aInfimumOfIn0(X14,X13,X12)|((aElementOf0(X14,X12)&aLowerBoundOfIn0(X14,X13,X12))&(![X15]:(~aLowerBoundOfIn0(X15,X13,X12)|sdtlseqdt0(X15,X14))))))&(![X16]:(((~aElementOf0(X16,X12)|~aLowerBoundOfIn0(X16,X13,X12))|(?[X17]:(aLowerBoundOfIn0(X17,X13,X12)&~sdtlseqdt0(X17,X16))))|aInfimumOfIn0(X16,X13,X12)))))))),inference(variable_rename,status(thm),[c33])).
% 0.48/0.71 fof(c36,plain,(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:(~aSet0(X12)|(~aSubsetOf0(X13,X12)|((~aInfimumOfIn0(X14,X13,X12)|((aElementOf0(X14,X12)&aLowerBoundOfIn0(X14,X13,X12))&(~aLowerBoundOfIn0(X15,X13,X12)|sdtlseqdt0(X15,X14))))&(((~aElementOf0(X16,X12)|~aLowerBoundOfIn0(X16,X13,X12))|(aLowerBoundOfIn0(skolem0002(X12,X13,X16),X13,X12)&~sdtlseqdt0(skolem0002(X12,X13,X16),X16)))|aInfimumOfIn0(X16,X13,X12)))))))))),inference(shift_quantors,status(thm),[fof(c35,plain,(![X12]:(~aSet0(X12)|(![X13]:(~aSubsetOf0(X13,X12)|((![X14]:(~aInfimumOfIn0(X14,X13,X12)|((aElementOf0(X14,X12)&aLowerBoundOfIn0(X14,X13,X12))&(![X15]:(~aLowerBoundOfIn0(X15,X13,X12)|sdtlseqdt0(X15,X14))))))&(![X16]:(((~aElementOf0(X16,X12)|~aLowerBoundOfIn0(X16,X13,X12))|(aLowerBoundOfIn0(skolem0002(X12,X13,X16),X13,X12)&~sdtlseqdt0(skolem0002(X12,X13,X16),X16)))|aInfimumOfIn0(X16,X13,X12)))))))),inference(skolemize,status(esa),[c34])).])).
% 0.48/0.71 fof(c37,plain,(![X12]:(![X13]:(![X14]:(![X15]:(![X16]:((((~aSet0(X12)|(~aSubsetOf0(X13,X12)|(~aInfimumOfIn0(X14,X13,X12)|aElementOf0(X14,X12))))&(~aSet0(X12)|(~aSubsetOf0(X13,X12)|(~aInfimumOfIn0(X14,X13,X12)|aLowerBoundOfIn0(X14,X13,X12)))))&(~aSet0(X12)|(~aSubsetOf0(X13,X12)|(~aInfimumOfIn0(X14,X13,X12)|(~aLowerBoundOfIn0(X15,X13,X12)|sdtlseqdt0(X15,X14))))))&((~aSet0(X12)|(~aSubsetOf0(X13,X12)|(((~aElementOf0(X16,X12)|~aLowerBoundOfIn0(X16,X13,X12))|aLowerBoundOfIn0(skolem0002(X12,X13,X16),X13,X12))|aInfimumOfIn0(X16,X13,X12))))&(~aSet0(X12)|(~aSubsetOf0(X13,X12)|(((~aElementOf0(X16,X12)|~aLowerBoundOfIn0(X16,X13,X12))|~sdtlseqdt0(skolem0002(X12,X13,X16),X16))|aInfimumOfIn0(X16,X13,X12))))))))))),inference(distribute,status(thm),[c36])).
% 0.48/0.71 cnf(c38,plain,~aSet0(X106)|~aSubsetOf0(X105,X106)|~aInfimumOfIn0(X107,X105,X106)|aElementOf0(X107,X106),inference(split_conjunct,status(thm),[c37])).
% 0.48/0.71 cnf(c126,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|aElementOf0(xu,xT),inference(resolution,status(thm),[c38, c13])).
% 0.48/0.71 cnf(c153,plain,~aSet0(xT)|aElementOf0(xu,xT),inference(resolution,status(thm),[c126, c15])).
% 0.48/0.71 cnf(c154,plain,aElementOf0(xu,xT),inference(resolution,status(thm),[c153, c16])).
% 0.48/0.71 cnf(c157,plain,~aSet0(xT)|aElement0(xu),inference(resolution,status(thm),[c154, c94])).
% 0.48/0.71 cnf(c159,plain,aElement0(xu),inference(resolution,status(thm),[c157, c16])).
% 0.48/0.71 cnf(c14,plain,aInfimumOfIn0(xv,xS,xT),inference(split_conjunct,status(thm),[m__792])).
% 0.48/0.71 cnf(c125,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|aElementOf0(xv,xT),inference(resolution,status(thm),[c38, c14])).
% 0.48/0.71 cnf(c129,plain,~aSet0(xT)|aElementOf0(xv,xT),inference(resolution,status(thm),[c125, c15])).
% 0.48/0.71 cnf(c130,plain,aElementOf0(xv,xT),inference(resolution,status(thm),[c129, c16])).
% 0.48/0.71 cnf(c133,plain,~aSet0(xT)|aElement0(xv),inference(resolution,status(thm),[c130, c94])).
% 0.48/0.71 cnf(c138,plain,aElement0(xv),inference(resolution,status(thm),[c133, c16])).
% 0.48/0.71 fof(mASymm,axiom,(![W0]:(![W1]:((aElement0(W0)&aElement0(W1))=>((sdtlseqdt0(W0,W1)&sdtlseqdt0(W1,W0))=>W0=W1)))),input).
% 0.48/0.71 fof(c66,axiom,(![W0]:(![W1]:((~aElement0(W0)|~aElement0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1)))),inference(fof_nnf,status(thm),[mASymm])).
% 0.48/0.71 fof(c67,axiom,(![X33]:(![X34]:((~aElement0(X33)|~aElement0(X34))|((~sdtlseqdt0(X33,X34)|~sdtlseqdt0(X34,X33))|X33=X34)))),inference(variable_rename,status(thm),[c66])).
% 0.48/0.71 cnf(c68,axiom,~aElement0(X196)|~aElement0(X197)|~sdtlseqdt0(X196,X197)|~sdtlseqdt0(X197,X196)|X196=X197,inference(split_conjunct,status(thm),[c67])).
% 0.48/0.71 cnf(c40,plain,~aSet0(X164)|~aSubsetOf0(X163,X164)|~aInfimumOfIn0(X166,X163,X164)|~aLowerBoundOfIn0(X165,X163,X164)|sdtlseqdt0(X165,X166),inference(split_conjunct,status(thm),[c37])).
% 0.48/0.71 cnf(c39,plain,~aSet0(X156)|~aSubsetOf0(X155,X156)|~aInfimumOfIn0(X157,X155,X156)|aLowerBoundOfIn0(X157,X155,X156),inference(split_conjunct,status(thm),[c37])).
% 0.48/0.71 cnf(c164,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|aLowerBoundOfIn0(xv,xS,xT),inference(resolution,status(thm),[c39, c14])).
% 0.48/0.71 cnf(c226,plain,~aSet0(xT)|aLowerBoundOfIn0(xv,xS,xT),inference(resolution,status(thm),[c164, c15])).
% 0.48/0.71 cnf(c232,plain,aLowerBoundOfIn0(xv,xS,xT),inference(resolution,status(thm),[c226, c16])).
% 0.48/0.71 cnf(c234,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|~aInfimumOfIn0(X280,xS,xT)|sdtlseqdt0(xv,X280),inference(resolution,status(thm),[c232, c40])).
% 0.48/0.71 cnf(c469,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|sdtlseqdt0(xv,xu),inference(resolution,status(thm),[c234, c13])).
% 0.48/0.71 cnf(c470,plain,~aSet0(xT)|sdtlseqdt0(xv,xu),inference(resolution,status(thm),[c469, c15])).
% 0.48/0.71 cnf(c473,plain,sdtlseqdt0(xv,xu),inference(resolution,status(thm),[c470, c16])).
% 0.48/0.71 cnf(c475,plain,~aElement0(xu)|~aElement0(xv)|~sdtlseqdt0(xu,xv)|xu=xv,inference(resolution,status(thm),[c473, c68])).
% 0.48/0.71 cnf(c165,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|aLowerBoundOfIn0(xu,xS,xT),inference(resolution,status(thm),[c39, c13])).
% 0.48/0.71 cnf(c238,plain,~aSet0(xT)|aLowerBoundOfIn0(xu,xS,xT),inference(resolution,status(thm),[c165, c15])).
% 0.48/0.71 cnf(c239,plain,aLowerBoundOfIn0(xu,xS,xT),inference(resolution,status(thm),[c238, c16])).
% 0.48/0.71 cnf(c241,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|~aInfimumOfIn0(X287,xS,xT)|sdtlseqdt0(xu,X287),inference(resolution,status(thm),[c239, c40])).
% 0.48/0.71 cnf(c482,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|sdtlseqdt0(xu,xv),inference(resolution,status(thm),[c241, c14])).
% 0.48/0.71 cnf(c484,plain,~aSet0(xT)|sdtlseqdt0(xu,xv),inference(resolution,status(thm),[c482, c15])).
% 0.48/0.71 cnf(c485,plain,sdtlseqdt0(xu,xv),inference(resolution,status(thm),[c484, c16])).
% 0.48/0.71 cnf(c488,plain,~aElement0(xu)|~aElement0(xv)|xu=xv,inference(resolution,status(thm),[c485, c475])).
% 0.48/0.71 cnf(c491,plain,~aElement0(xu)|xu=xv,inference(resolution,status(thm),[c488, c138])).
% 0.48/0.71 cnf(c492,plain,xu=xv,inference(resolution,status(thm),[c491, c159])).
% 0.48/0.71 cnf(c496,plain,$false,inference(resolution,status(thm),[c492, c12])).
% 0.48/0.71 # SZS output end CNFRefutation
% 0.48/0.71
% 0.48/0.71 # Initial clauses : 50
% 0.48/0.71 # Processed clauses : 193
% 0.48/0.71 # Factors computed : 0
% 0.48/0.71 # Resolvents computed: 406
% 0.48/0.71 # Tautologies deleted: 12
% 0.48/0.71 # Forward subsumed : 89
% 0.48/0.71 # Backward subsumed : 41
% 0.48/0.71 # -------- CPU Time ---------
% 0.48/0.71 # User time : 0.367 s
% 0.48/0.71 # System time : 0.017 s
% 0.48/0.71 # Total time : 0.384 s
%------------------------------------------------------------------------------