TSTP Solution File: KRS254+1 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : KRS254+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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 17:29:00 EDT 2024

% Result   : Theorem 6.34s 6.58s
% Output   : Refutation 6.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS254+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n023.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  : 300
% 0.13/0.33  % DateTime : Thu May  9 00:12:38 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 6.34/6.58  % Version:  1.5
% 6.34/6.58  % SZS status Theorem
% 6.34/6.58  % SZS output start CNFRefutation
% 6.34/6.58  fof(satisfiable,axiom,(?[F]:((?[I1]:model(I1,F))&(?[I2]:(~model(I2,F))))),file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax', satisfiable)).
% 6.34/6.58  fof(c30,plain,(?[F]:((?[I1]:model(I1,F))&(?[I2]:~model(I2,F)))),inference(fof_simplification,[status(thm)],[satisfiable])).
% 6.34/6.58  fof(c31,plain,(?[X19]:((?[X20]:model(X20,X19))&(?[X21]:~model(X21,X19)))),inference(variable_rename,[status(thm)],[c30])).
% 6.34/6.58  fof(c32,plain,(model(skolem0017,skolem0016)&~model(skolem0018,skolem0016)),inference(skolemize,[status(esa)],[c31])).
% 6.34/6.58  cnf(c33,plain,model(skolem0017,skolem0016),inference(split_conjunct,[status(thm)],[c32])).
% 6.34/6.58  fof(unp,axiom,(![Ax]:(![C]:(((~(?[I1]:model(I1,Ax)))=>(~(?[I2]:model(I2,C))))<=>status(Ax,C,unp)))),file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax', unp)).
% 6.34/6.58  fof(c283,plain,(![Ax]:(![C]:((((![I1]:~model(I1,Ax))&(?[I2]:model(I2,C)))|status(Ax,C,unp))&(~status(Ax,C,unp)|((?[I1]:model(I1,Ax))|(![I2]:~model(I2,C))))))),inference(fof_nnf,[status(thm)],[unp])).
% 6.34/6.58  fof(c284,plain,((![Ax]:(![C]:(((![I1]:~model(I1,Ax))&(?[I2]:model(I2,C)))|status(Ax,C,unp))))&(![Ax]:(![C]:(~status(Ax,C,unp)|((?[I1]:model(I1,Ax))|(![I2]:~model(I2,C))))))),inference(shift_quantors,[status(thm)],[c283])).
% 6.34/6.58  fof(c285,plain,((![X228]:(![X229]:(((![X230]:~model(X230,X228))&(?[X231]:model(X231,X229)))|status(X228,X229,unp))))&(![X232]:(![X233]:(~status(X232,X233,unp)|((?[X234]:model(X234,X232))|(![X235]:~model(X235,X233))))))),inference(variable_rename,[status(thm)],[c284])).
% 6.34/6.58  fof(c287,plain,(![X228]:(![X229]:(![X230]:(![X232]:(![X233]:(![X235]:(((~model(X230,X228)&model(skolem0070(X228,X229),X229))|status(X228,X229,unp))&(~status(X232,X233,unp)|(model(skolem0071(X232,X233),X232)|~model(X235,X233)))))))))),inference(shift_quantors,[status(thm)],[fof(c286,plain,((![X228]:(![X229]:(((![X230]:~model(X230,X228))&model(skolem0070(X228,X229),X229))|status(X228,X229,unp))))&(![X232]:(![X233]:(~status(X232,X233,unp)|(model(skolem0071(X232,X233),X232)|(![X235]:~model(X235,X233))))))),inference(skolemize,[status(esa)],[c285])).])).
% 6.34/6.58  fof(c288,plain,(![X228]:(![X229]:(![X230]:(![X232]:(![X233]:(![X235]:(((~model(X230,X228)|status(X228,X229,unp))&(model(skolem0070(X228,X229),X229)|status(X228,X229,unp)))&(~status(X232,X233,unp)|(model(skolem0071(X232,X233),X232)|~model(X235,X233)))))))))),inference(distribute,[status(thm)],[c287])).
% 6.34/6.58  cnf(c289,plain,~model(X349,X350)|status(X350,X351,unp),inference(split_conjunct,[status(thm)],[c288])).
% 6.34/6.58  cnf(c453,plain,status(skolem0016,X370,unp),inference(resolution,[status(thm)],[c289, c33])).
% 6.34/6.58  fof(nevera,axiom,(![S1]:(![S2]:((![Ax]:(![C]:(status(Ax,C,S1)=>(~status(Ax,C,S2)))))<=>nevera(S1,S2)))),file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax', nevera)).
% 6.34/6.58  fof(c63,plain,(![S1]:(![S2]:((![Ax]:(![C]:(status(Ax,C,S1)=>~status(Ax,C,S2))))<=>nevera(S1,S2)))),inference(fof_simplification,[status(thm)],[nevera])).
% 6.34/6.58  fof(c64,plain,(![S1]:(![S2]:(((?[Ax]:(?[C]:(status(Ax,C,S1)&status(Ax,C,S2))))|nevera(S1,S2))&(~nevera(S1,S2)|(![Ax]:(![C]:(~status(Ax,C,S1)|~status(Ax,C,S2)))))))),inference(fof_nnf,[status(thm)],[c63])).
% 6.34/6.58  fof(c65,plain,((![S1]:(![S2]:((?[Ax]:(?[C]:(status(Ax,C,S1)&status(Ax,C,S2))))|nevera(S1,S2))))&(![S1]:(![S2]:(~nevera(S1,S2)|(![Ax]:(![C]:(~status(Ax,C,S1)|~status(Ax,C,S2)))))))),inference(shift_quantors,[status(thm)],[c64])).
% 6.34/6.58  fof(c66,plain,((![X42]:(![X43]:((?[X44]:(?[X45]:(status(X44,X45,X42)&status(X44,X45,X43))))|nevera(X42,X43))))&(![X46]:(![X47]:(~nevera(X46,X47)|(![X48]:(![X49]:(~status(X48,X49,X46)|~status(X48,X49,X47)))))))),inference(variable_rename,[status(thm)],[c65])).
% 6.34/6.58  fof(c68,plain,(![X42]:(![X43]:(![X46]:(![X47]:(![X48]:(![X49]:(((status(skolem0022(X42,X43),skolem0023(X42,X43),X42)&status(skolem0022(X42,X43),skolem0023(X42,X43),X43))|nevera(X42,X43))&(~nevera(X46,X47)|(~status(X48,X49,X46)|~status(X48,X49,X47)))))))))),inference(shift_quantors,[status(thm)],[fof(c67,plain,((![X42]:(![X43]:((status(skolem0022(X42,X43),skolem0023(X42,X43),X42)&status(skolem0022(X42,X43),skolem0023(X42,X43),X43))|nevera(X42,X43))))&(![X46]:(![X47]:(~nevera(X46,X47)|(![X48]:(![X49]:(~status(X48,X49,X46)|~status(X48,X49,X47)))))))),inference(skolemize,[status(esa)],[c66])).])).
% 6.34/6.58  fof(c69,plain,(![X42]:(![X43]:(![X46]:(![X47]:(![X48]:(![X49]:(((status(skolem0022(X42,X43),skolem0023(X42,X43),X42)|nevera(X42,X43))&(status(skolem0022(X42,X43),skolem0023(X42,X43),X43)|nevera(X42,X43)))&(~nevera(X46,X47)|(~status(X48,X49,X46)|~status(X48,X49,X47)))))))))),inference(distribute,[status(thm)],[c68])).
% 6.34/6.58  cnf(c72,plain,~nevera(X320,X318)|~status(X319,X317,X320)|~status(X319,X317,X318),inference(split_conjunct,[status(thm)],[c69])).
% 6.34/6.58  fof(thm,axiom,(![Ax]:(![C]:((![I1]:(model(I1,Ax)=>model(I1,C)))<=>status(Ax,C,thm)))),file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax', thm)).
% 6.34/6.58  fof(c246,plain,(![Ax]:(![C]:(((?[I1]:(model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))&(~status(Ax,C,thm)|(![I1]:(~model(I1,Ax)|model(I1,C))))))),inference(fof_nnf,[status(thm)],[thm])).
% 6.34/6.58  fof(c247,plain,((![Ax]:(![C]:((?[I1]:(model(I1,Ax)&~model(I1,C)))|status(Ax,C,thm))))&(![Ax]:(![C]:(~status(Ax,C,thm)|(![I1]:(~model(I1,Ax)|model(I1,C))))))),inference(shift_quantors,[status(thm)],[c246])).
% 6.34/6.58  fof(c248,plain,((![X196]:(![X197]:((?[X198]:(model(X198,X196)&~model(X198,X197)))|status(X196,X197,thm))))&(![X199]:(![X200]:(~status(X199,X200,thm)|(![X201]:(~model(X201,X199)|model(X201,X200))))))),inference(variable_rename,[status(thm)],[c247])).
% 6.34/6.58  fof(c250,plain,(![X196]:(![X197]:(![X199]:(![X200]:(![X201]:(((model(skolem0062(X196,X197),X196)&~model(skolem0062(X196,X197),X197))|status(X196,X197,thm))&(~status(X199,X200,thm)|(~model(X201,X199)|model(X201,X200))))))))),inference(shift_quantors,[status(thm)],[fof(c249,plain,((![X196]:(![X197]:((model(skolem0062(X196,X197),X196)&~model(skolem0062(X196,X197),X197))|status(X196,X197,thm))))&(![X199]:(![X200]:(~status(X199,X200,thm)|(![X201]:(~model(X201,X199)|model(X201,X200))))))),inference(skolemize,[status(esa)],[c248])).])).
% 6.34/6.58  fof(c251,plain,(![X196]:(![X197]:(![X199]:(![X200]:(![X201]:(((model(skolem0062(X196,X197),X196)|status(X196,X197,thm))&(~model(skolem0062(X196,X197),X197)|status(X196,X197,thm)))&(~status(X199,X200,thm)|(~model(X201,X199)|model(X201,X200))))))))),inference(distribute,[status(thm)],[c250])).
% 6.34/6.58  cnf(c252,plain,model(skolem0062(X574,X573),X574)|status(X574,X573,thm),inference(split_conjunct,[status(thm)],[c251])).
% 6.34/6.58  cnf(c253,plain,~model(skolem0062(X576,X575),X575)|status(X576,X575,thm),inference(split_conjunct,[status(thm)],[c251])).
% 6.34/6.58  cnf(c1185,plain,status(X577,X577,thm),inference(resolution,[status(thm)],[c253, c252])).
% 6.34/6.58  cnf(c1193,plain,~nevera(X606,thm)|~status(X607,X607,X606),inference(resolution,[status(thm)],[c1185, c72])).
% 6.34/6.58  cnf(c1365,plain,~nevera(unp,thm),inference(resolution,[status(thm)],[c1193, c453])).
% 6.34/6.58  fof(mighta_unp_thm,conjecture,mighta(unp,thm),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mighta_unp_thm)).
% 6.34/6.58  fof(c0,negated_conjecture,(~mighta(unp,thm)),inference(assume_negation,[status(cth)],[mighta_unp_thm])).
% 6.34/6.58  fof(c1,negated_conjecture,~mighta(unp,thm),inference(fof_simplification,[status(thm)],[c0])).
% 6.34/6.58  cnf(c2,negated_conjecture,~mighta(unp,thm),inference(split_conjunct,[status(thm)],[c1])).
% 6.34/6.58  cnf(c70,plain,status(skolem0022(X308,X309),skolem0023(X308,X309),X308)|nevera(X308,X309),inference(split_conjunct,[status(thm)],[c69])).
% 6.34/6.58  cnf(c71,plain,status(skolem0022(X315,X316),skolem0023(X315,X316),X316)|nevera(X315,X316),inference(split_conjunct,[status(thm)],[c69])).
% 6.34/6.58  fof(mighta,axiom,(![S1]:(![S2]:((?[Ax]:(?[C]:(status(Ax,C,S1)&status(Ax,C,S2))))<=>mighta(S1,S2)))),file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax', mighta)).
% 6.34/6.58  fof(c92,plain,(![S1]:(![S2]:(((![Ax]:(![C]:(~status(Ax,C,S1)|~status(Ax,C,S2))))|mighta(S1,S2))&(~mighta(S1,S2)|(?[Ax]:(?[C]:(status(Ax,C,S1)&status(Ax,C,S2)))))))),inference(fof_nnf,[status(thm)],[mighta])).
% 6.34/6.58  fof(c93,plain,((![S1]:(![S2]:((![Ax]:(![C]:(~status(Ax,C,S1)|~status(Ax,C,S2))))|mighta(S1,S2))))&(![S1]:(![S2]:(~mighta(S1,S2)|(?[Ax]:(?[C]:(status(Ax,C,S1)&status(Ax,C,S2)))))))),inference(shift_quantors,[status(thm)],[c92])).
% 6.34/6.58  fof(c94,plain,((![X66]:(![X67]:((![X68]:(![X69]:(~status(X68,X69,X66)|~status(X68,X69,X67))))|mighta(X66,X67))))&(![X70]:(![X71]:(~mighta(X70,X71)|(?[X72]:(?[X73]:(status(X72,X73,X70)&status(X72,X73,X71)))))))),inference(variable_rename,[status(thm)],[c93])).
% 6.34/6.58  fof(c96,plain,(![X66]:(![X67]:(![X68]:(![X69]:(![X70]:(![X71]:(((~status(X68,X69,X66)|~status(X68,X69,X67))|mighta(X66,X67))&(~mighta(X70,X71)|(status(skolem0028(X70,X71),skolem0029(X70,X71),X70)&status(skolem0028(X70,X71),skolem0029(X70,X71),X71)))))))))),inference(shift_quantors,[status(thm)],[fof(c95,plain,((![X66]:(![X67]:((![X68]:(![X69]:(~status(X68,X69,X66)|~status(X68,X69,X67))))|mighta(X66,X67))))&(![X70]:(![X71]:(~mighta(X70,X71)|(status(skolem0028(X70,X71),skolem0029(X70,X71),X70)&status(skolem0028(X70,X71),skolem0029(X70,X71),X71)))))),inference(skolemize,[status(esa)],[c94])).])).
% 6.34/6.58  fof(c97,plain,(![X66]:(![X67]:(![X68]:(![X69]:(![X70]:(![X71]:(((~status(X68,X69,X66)|~status(X68,X69,X67))|mighta(X66,X67))&((~mighta(X70,X71)|status(skolem0028(X70,X71),skolem0029(X70,X71),X70))&(~mighta(X70,X71)|status(skolem0028(X70,X71),skolem0029(X70,X71),X71)))))))))),inference(distribute,[status(thm)],[c96])).
% 6.34/6.58  cnf(c98,plain,~status(X361,X362,X360)|~status(X361,X362,X359)|mighta(X360,X359),inference(split_conjunct,[status(thm)],[c97])).
% 6.34/6.58  cnf(c501,plain,~status(skolem0022(X888,X889),skolem0023(X888,X889),X887)|mighta(X887,X889)|nevera(X888,X889),inference(resolution,[status(thm)],[c98, c71])).
% 6.34/6.58  cnf(c5079,plain,mighta(X1390,X1391)|nevera(X1390,X1391),inference(resolution,[status(thm)],[c501, c70])).
% 6.34/6.58  cnf(c19026,plain,nevera(unp,thm),inference(resolution,[status(thm)],[c5079, c2])).
% 6.34/6.58  cnf(c19048,plain,$false,inference(resolution,[status(thm)],[c19026, c1365])).
% 6.34/6.58  % SZS output end CNFRefutation
% 6.34/6.58  
% 6.34/6.58  % Initial clauses    : 109
% 6.34/6.58  % Processed clauses  : 610
% 6.34/6.58  % Factors computed   : 55
% 6.34/6.58  % Resolvents computed: 18702
% 6.34/6.58  % Tautologies deleted: 5
% 6.34/6.58  % Forward subsumed   : 1987
% 6.34/6.58  % Backward subsumed  : 0
% 6.34/6.58  % -------- CPU Time ---------
% 6.34/6.58  % User time          : 6.193 s
% 6.34/6.58  % System time        : 0.039 s
% 6.34/6.58  % Total time         : 6.232 s
%------------------------------------------------------------------------------