TSTP Solution File: LAT381+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LAT381+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 06:31:47 EDT 2022
% Result : Theorem 0.62s 0.83s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT381+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 29 19:56:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.62/0.83 # Version: 1.3
% 0.62/0.83 # SZS status Theorem
% 0.62/0.83 # SZS output start CNFRefutation
% 0.62/0.83 fof(m__,conjecture,xu=xv,input).
% 0.62/0.83 fof(c10,negated_conjecture,(~xu=xv),inference(assume_negation,status(cth),[m__])).
% 0.62/0.83 fof(c11,negated_conjecture,xu!=xv,inference(fof_simplification,status(thm),[c10])).
% 0.62/0.83 cnf(c12,negated_conjecture,xu!=xv,inference(split_conjunct,status(thm),[c11])).
% 0.62/0.83 fof(m__725,plain,aSet0(xT),input).
% 0.62/0.83 cnf(c16,plain,aSet0(xT),inference(split_conjunct,status(thm),[m__725])).
% 0.62/0.83 fof(mEOfElem,axiom,(![W0]:(aSet0(W0)=>(![W1]:(aElementOf0(W1,W0)=>aElement0(W1))))),input).
% 0.62/0.83 fof(c87,axiom,(![W0]:(~aSet0(W0)|(![W1]:(~aElementOf0(W1,W0)|aElement0(W1))))),inference(fof_nnf,status(thm),[mEOfElem])).
% 0.62/0.83 fof(c89,axiom,(![X40]:(![X41]:(~aSet0(X40)|(~aElementOf0(X41,X40)|aElement0(X41))))),inference(shift_quantors,status(thm),[fof(c88,axiom,(![X40]:(~aSet0(X40)|(![X41]:(~aElementOf0(X41,X40)|aElement0(X41))))),inference(variable_rename,status(thm),[c87])).])).
% 0.62/0.83 cnf(c90,axiom,~aSet0(X73)|~aElementOf0(X74,X73)|aElement0(X74),inference(split_conjunct,status(thm),[c89])).
% 0.62/0.83 fof(m__725_01,plain,aSubsetOf0(xS,xT),input).
% 0.62/0.83 cnf(c15,plain,aSubsetOf0(xS,xT),inference(split_conjunct,status(thm),[m__725_01])).
% 0.62/0.83 fof(m__744,plain,(aSupremumOfIn0(xu,xS,xT)&aSupremumOfIn0(xv,xS,xT)),input).
% 0.62/0.83 cnf(c13,plain,aSupremumOfIn0(xu,xS,xT),inference(split_conjunct,status(thm),[m__744])).
% 0.62/0.83 fof(mDefSup,plain,(![W0]:(aSet0(W0)=>(![W1]:(aSubsetOf0(W1,W0)=>(![W2]:(aSupremumOfIn0(W2,W1,W0)<=>((aElementOf0(W2,W0)&aUpperBoundOfIn0(W2,W1,W0))&(![W3]:(aUpperBoundOfIn0(W3,W1,W0)=>sdtlseqdt0(W2,W3)))))))))),input).
% 0.62/0.83 fof(c17,plain,(![W0]:(~aSet0(W0)|(![W1]:(~aSubsetOf0(W1,W0)|(![W2]:((~aSupremumOfIn0(W2,W1,W0)|((aElementOf0(W2,W0)&aUpperBoundOfIn0(W2,W1,W0))&(![W3]:(~aUpperBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W2,W3)))))&(((~aElementOf0(W2,W0)|~aUpperBoundOfIn0(W2,W1,W0))|(?[W3]:(aUpperBoundOfIn0(W3,W1,W0)&~sdtlseqdt0(W2,W3))))|aSupremumOfIn0(W2,W1,W0)))))))),inference(fof_nnf,status(thm),[mDefSup])).
% 0.62/0.83 fof(c18,plain,(![W0]:(~aSet0(W0)|(![W1]:(~aSubsetOf0(W1,W0)|((![W2]:(~aSupremumOfIn0(W2,W1,W0)|((aElementOf0(W2,W0)&aUpperBoundOfIn0(W2,W1,W0))&(![W3]:(~aUpperBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W2,W3))))))&(![W2]:(((~aElementOf0(W2,W0)|~aUpperBoundOfIn0(W2,W1,W0))|(?[W3]:(aUpperBoundOfIn0(W3,W1,W0)&~sdtlseqdt0(W2,W3))))|aSupremumOfIn0(W2,W1,W0)))))))),inference(shift_quantors,status(thm),[c17])).
% 0.62/0.83 fof(c19,plain,(![X2]:(~aSet0(X2)|(![X3]:(~aSubsetOf0(X3,X2)|((![X4]:(~aSupremumOfIn0(X4,X3,X2)|((aElementOf0(X4,X2)&aUpperBoundOfIn0(X4,X3,X2))&(![X5]:(~aUpperBoundOfIn0(X5,X3,X2)|sdtlseqdt0(X4,X5))))))&(![X6]:(((~aElementOf0(X6,X2)|~aUpperBoundOfIn0(X6,X3,X2))|(?[X7]:(aUpperBoundOfIn0(X7,X3,X2)&~sdtlseqdt0(X6,X7))))|aSupremumOfIn0(X6,X3,X2)))))))),inference(variable_rename,status(thm),[c18])).
% 0.62/0.83 fof(c21,plain,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(~aSet0(X2)|(~aSubsetOf0(X3,X2)|((~aSupremumOfIn0(X4,X3,X2)|((aElementOf0(X4,X2)&aUpperBoundOfIn0(X4,X3,X2))&(~aUpperBoundOfIn0(X5,X3,X2)|sdtlseqdt0(X4,X5))))&(((~aElementOf0(X6,X2)|~aUpperBoundOfIn0(X6,X3,X2))|(aUpperBoundOfIn0(skolem0001(X2,X3,X6),X3,X2)&~sdtlseqdt0(X6,skolem0001(X2,X3,X6))))|aSupremumOfIn0(X6,X3,X2)))))))))),inference(shift_quantors,status(thm),[fof(c20,plain,(![X2]:(~aSet0(X2)|(![X3]:(~aSubsetOf0(X3,X2)|((![X4]:(~aSupremumOfIn0(X4,X3,X2)|((aElementOf0(X4,X2)&aUpperBoundOfIn0(X4,X3,X2))&(![X5]:(~aUpperBoundOfIn0(X5,X3,X2)|sdtlseqdt0(X4,X5))))))&(![X6]:(((~aElementOf0(X6,X2)|~aUpperBoundOfIn0(X6,X3,X2))|(aUpperBoundOfIn0(skolem0001(X2,X3,X6),X3,X2)&~sdtlseqdt0(X6,skolem0001(X2,X3,X6))))|aSupremumOfIn0(X6,X3,X2)))))))),inference(skolemize,status(esa),[c19])).])).
% 0.62/0.83 fof(c22,plain,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:((((~aSet0(X2)|(~aSubsetOf0(X3,X2)|(~aSupremumOfIn0(X4,X3,X2)|aElementOf0(X4,X2))))&(~aSet0(X2)|(~aSubsetOf0(X3,X2)|(~aSupremumOfIn0(X4,X3,X2)|aUpperBoundOfIn0(X4,X3,X2)))))&(~aSet0(X2)|(~aSubsetOf0(X3,X2)|(~aSupremumOfIn0(X4,X3,X2)|(~aUpperBoundOfIn0(X5,X3,X2)|sdtlseqdt0(X4,X5))))))&((~aSet0(X2)|(~aSubsetOf0(X3,X2)|(((~aElementOf0(X6,X2)|~aUpperBoundOfIn0(X6,X3,X2))|aUpperBoundOfIn0(skolem0001(X2,X3,X6),X3,X2))|aSupremumOfIn0(X6,X3,X2))))&(~aSet0(X2)|(~aSubsetOf0(X3,X2)|(((~aElementOf0(X6,X2)|~aUpperBoundOfIn0(X6,X3,X2))|~sdtlseqdt0(X6,skolem0001(X2,X3,X6)))|aSupremumOfIn0(X6,X3,X2))))))))))),inference(distribute,status(thm),[c21])).
% 0.62/0.83 cnf(c23,plain,~aSet0(X99)|~aSubsetOf0(X98,X99)|~aSupremumOfIn0(X100,X98,X99)|aElementOf0(X100,X99),inference(split_conjunct,status(thm),[c22])).
% 0.62/0.83 cnf(c121,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|aElementOf0(xu,xT),inference(resolution,status(thm),[c23, c13])).
% 0.62/0.83 cnf(c123,plain,~aSet0(xT)|aElementOf0(xu,xT),inference(resolution,status(thm),[c121, c15])).
% 0.62/0.83 cnf(c124,plain,aElementOf0(xu,xT),inference(resolution,status(thm),[c123, c16])).
% 0.62/0.83 cnf(c127,plain,~aSet0(xT)|aElement0(xu),inference(resolution,status(thm),[c124, c90])).
% 0.62/0.83 cnf(c134,plain,aElement0(xu),inference(resolution,status(thm),[c127, c16])).
% 0.62/0.83 cnf(c14,plain,aSupremumOfIn0(xv,xS,xT),inference(split_conjunct,status(thm),[m__744])).
% 0.62/0.83 cnf(c122,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|aElementOf0(xv,xT),inference(resolution,status(thm),[c23, c14])).
% 0.62/0.83 cnf(c151,plain,~aSet0(xT)|aElementOf0(xv,xT),inference(resolution,status(thm),[c122, c15])).
% 0.62/0.83 cnf(c152,plain,aElementOf0(xv,xT),inference(resolution,status(thm),[c151, c16])).
% 0.62/0.83 cnf(c155,plain,~aSet0(xT)|aElement0(xv),inference(resolution,status(thm),[c152, c90])).
% 0.62/0.83 cnf(c157,plain,aElement0(xv),inference(resolution,status(thm),[c155, c16])).
% 0.62/0.83 fof(mASymm,axiom,(![W0]:(![W1]:((aElement0(W0)&aElement0(W1))=>((sdtlseqdt0(W0,W1)&sdtlseqdt0(W1,W0))=>W0=W1)))),input).
% 0.62/0.83 fof(c62,axiom,(![W0]:(![W1]:((~aElement0(W0)|~aElement0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1)))),inference(fof_nnf,status(thm),[mASymm])).
% 0.62/0.83 fof(c63,axiom,(![X29]:(![X30]:((~aElement0(X29)|~aElement0(X30))|((~sdtlseqdt0(X29,X30)|~sdtlseqdt0(X30,X29))|X29=X30)))),inference(variable_rename,status(thm),[c62])).
% 0.62/0.83 cnf(c64,axiom,~aElement0(X192)|~aElement0(X193)|~sdtlseqdt0(X192,X193)|~sdtlseqdt0(X193,X192)|X192=X193,inference(split_conjunct,status(thm),[c63])).
% 0.62/0.83 cnf(c25,plain,~aSet0(X126)|~aSubsetOf0(X125,X126)|~aSupremumOfIn0(X127,X125,X126)|~aUpperBoundOfIn0(X128,X125,X126)|sdtlseqdt0(X127,X128),inference(split_conjunct,status(thm),[c22])).
% 0.62/0.83 cnf(c24,plain,~aSet0(X123)|~aSubsetOf0(X122,X123)|~aSupremumOfIn0(X124,X122,X123)|aUpperBoundOfIn0(X124,X122,X123),inference(split_conjunct,status(thm),[c22])).
% 0.62/0.83 cnf(c138,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|aUpperBoundOfIn0(xu,xS,xT),inference(resolution,status(thm),[c24, c13])).
% 0.62/0.83 cnf(c226,plain,~aSet0(xT)|aUpperBoundOfIn0(xu,xS,xT),inference(resolution,status(thm),[c138, c15])).
% 0.62/0.83 cnf(c227,plain,aUpperBoundOfIn0(xu,xS,xT),inference(resolution,status(thm),[c226, c16])).
% 0.62/0.83 cnf(c230,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|~aSupremumOfIn0(X270,xS,xT)|sdtlseqdt0(X270,xu),inference(resolution,status(thm),[c227, c25])).
% 0.62/0.83 cnf(c470,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|sdtlseqdt0(xv,xu),inference(resolution,status(thm),[c230, c14])).
% 0.62/0.83 cnf(c471,plain,~aSet0(xT)|sdtlseqdt0(xv,xu),inference(resolution,status(thm),[c470, c15])).
% 0.62/0.83 cnf(c472,plain,sdtlseqdt0(xv,xu),inference(resolution,status(thm),[c471, c16])).
% 0.62/0.83 cnf(c473,plain,~aElement0(xu)|~aElement0(xv)|~sdtlseqdt0(xu,xv)|xu=xv,inference(resolution,status(thm),[c472, c64])).
% 0.62/0.83 cnf(c139,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|aUpperBoundOfIn0(xv,xS,xT),inference(resolution,status(thm),[c24, c14])).
% 0.62/0.83 cnf(c233,plain,~aSet0(xT)|aUpperBoundOfIn0(xv,xS,xT),inference(resolution,status(thm),[c139, c15])).
% 0.62/0.83 cnf(c234,plain,aUpperBoundOfIn0(xv,xS,xT),inference(resolution,status(thm),[c233, c16])).
% 0.62/0.83 cnf(c237,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|~aSupremumOfIn0(X278,xS,xT)|sdtlseqdt0(X278,xv),inference(resolution,status(thm),[c234, c25])).
% 0.62/0.83 cnf(c479,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|sdtlseqdt0(xu,xv),inference(resolution,status(thm),[c237, c13])).
% 0.62/0.83 cnf(c481,plain,~aSet0(xT)|sdtlseqdt0(xu,xv),inference(resolution,status(thm),[c479, c15])).
% 0.62/0.83 cnf(c482,plain,sdtlseqdt0(xu,xv),inference(resolution,status(thm),[c481, c16])).
% 0.62/0.83 cnf(c486,plain,~aElement0(xu)|~aElement0(xv)|xu=xv,inference(resolution,status(thm),[c482, c473])).
% 0.62/0.83 cnf(c490,plain,~aElement0(xu)|xu=xv,inference(resolution,status(thm),[c486, c157])).
% 0.62/0.83 cnf(c491,plain,xu=xv,inference(resolution,status(thm),[c490, c134])).
% 0.62/0.83 cnf(c503,plain,$false,inference(resolution,status(thm),[c491, c12])).
% 0.62/0.83 # SZS output end CNFRefutation
% 0.62/0.83
% 0.62/0.83 # Initial clauses : 49
% 0.62/0.83 # Processed clauses : 194
% 0.62/0.83 # Factors computed : 0
% 0.62/0.83 # Resolvents computed: 410
% 0.62/0.83 # Tautologies deleted: 12
% 0.62/0.83 # Forward subsumed : 90
% 0.62/0.83 # Backward subsumed : 41
% 0.62/0.83 # -------- CPU Time ---------
% 0.62/0.83 # User time : 0.478 s
% 0.62/0.83 # System time : 0.014 s
% 0.62/0.83 # Total time : 0.492 s
%------------------------------------------------------------------------------