TSTP Solution File: NUM477+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM477+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 : Tue Apr 30 20:34:50 EDT 2024
% Result : Theorem 4.11s 0.89s
% Output : CNFRefutation 4.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : NUM477+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n011.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 20:44:16 EDT 2024
% 0.15/0.31 % CPUTime :
% 0.15/0.33 % Drodi V3.6.0
% 4.11/0.89 % Refutation found
% 4.11/0.89 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.11/0.89 % SZS output start CNFRefutation for theBenchmark
% 4.11/0.89 fof(f12,axiom,(
% 4.11/0.89 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 4.11/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.11/0.89 fof(f20,axiom,(
% 4.11/0.89 (! [W0] :( aNaturalNumber0(W0)=> sdtlseqdt0(W0,W0) ) )),
% 4.11/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.11/0.89 fof(f22,axiom,(
% 4.11/0.89 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W2) )=> sdtlseqdt0(W0,W2) ) ) )),
% 4.11/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.11/0.89 fof(f27,axiom,(
% 4.11/0.89 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( W0 != sz00=> sdtlseqdt0(W1,sdtasdt0(W1,W0)) ) ) )),
% 4.11/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.11/0.89 fof(f35,hypothesis,(
% 4.11/0.89 ( aNaturalNumber0(xm)& aNaturalNumber0(xn) ) ),
% 4.11/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.11/0.89 fof(f36,hypothesis,(
% 4.11/0.89 ( (? [W0] :( aNaturalNumber0(W0)& xn = sdtasdt0(xm,W0) ))& doDivides0(xm,xn)& xn != sz00 ) ),
% 4.11/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.11/0.89 fof(f37,conjecture,(
% 4.11/0.89 ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xm,W0) = xn ))| sdtlseqdt0(xm,xn) ) ),
% 4.11/0.89 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.11/0.89 fof(f38,negated_conjecture,(
% 4.11/0.89 ~(( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xm,W0) = xn ))| sdtlseqdt0(xm,xn) ) )),
% 4.11/0.89 inference(negated_conjecture,[status(cth)],[f37])).
% 4.11/0.89 fof(f63,plain,(
% 4.11/0.89 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 4.11/0.89 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 4.11/0.89 fof(f64,plain,(
% 4.11/0.89 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz00)=sz00)),
% 4.11/0.89 inference(cnf_transformation,[status(esa)],[f63])).
% 4.11/0.89 fof(f92,plain,(
% 4.11/0.89 ![W0]: (~aNaturalNumber0(W0)|sdtlseqdt0(W0,W0))),
% 4.11/0.89 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 4.11/0.89 fof(f93,plain,(
% 4.11/0.89 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,X0))),
% 4.11/0.89 inference(cnf_transformation,[status(esa)],[f92])).
% 4.11/0.89 fof(f96,plain,(
% 4.11/0.89 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W2))|sdtlseqdt0(W0,W2)))),
% 4.11/0.89 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 4.11/0.89 fof(f97,plain,(
% 4.11/0.89 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|sdtlseqdt0(X0,X2))),
% 4.11/0.89 inference(cnf_transformation,[status(esa)],[f96])).
% 4.11/0.89 fof(f114,plain,(
% 4.11/0.89 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(W0=sz00|sdtlseqdt0(W1,sdtasdt0(W1,W0))))),
% 4.11/0.89 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 4.11/0.89 fof(f115,plain,(
% 4.11/0.89 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|sdtlseqdt0(X1,sdtasdt0(X1,X0)))),
% 4.11/0.89 inference(cnf_transformation,[status(esa)],[f114])).
% 4.11/0.89 fof(f138,plain,(
% 4.11/0.89 aNaturalNumber0(xm)),
% 4.11/0.89 inference(cnf_transformation,[status(esa)],[f35])).
% 4.11/0.89 fof(f139,plain,(
% 4.11/0.89 aNaturalNumber0(xn)),
% 4.11/0.89 inference(cnf_transformation,[status(esa)],[f35])).
% 4.11/0.89 fof(f140,plain,(
% 4.11/0.89 ((aNaturalNumber0(sk0_2)&xn=sdtasdt0(xm,sk0_2))&doDivides0(xm,xn))&~xn=sz00),
% 4.11/0.90 inference(skolemization,[status(esa)],[f36])).
% 4.11/0.90 fof(f141,plain,(
% 4.11/0.90 aNaturalNumber0(sk0_2)),
% 4.11/0.90 inference(cnf_transformation,[status(esa)],[f140])).
% 4.11/0.90 fof(f142,plain,(
% 4.11/0.90 xn=sdtasdt0(xm,sk0_2)),
% 4.11/0.90 inference(cnf_transformation,[status(esa)],[f140])).
% 4.11/0.90 fof(f144,plain,(
% 4.11/0.90 ~xn=sz00),
% 4.11/0.90 inference(cnf_transformation,[status(esa)],[f140])).
% 4.11/0.90 fof(f145,plain,(
% 4.11/0.90 ((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(xm,W0)=xn))&~sdtlseqdt0(xm,xn))),
% 4.11/0.90 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 4.11/0.90 fof(f147,plain,(
% 4.11/0.90 ~sdtlseqdt0(xm,xn)),
% 4.11/0.90 inference(cnf_transformation,[status(esa)],[f145])).
% 4.11/0.90 fof(f158,plain,(
% 4.11/0.90 spl0_0 <=> aNaturalNumber0(xn)),
% 4.11/0.90 introduced(split_symbol_definition)).
% 4.11/0.90 fof(f160,plain,(
% 4.11/0.90 ~aNaturalNumber0(xn)|spl0_0),
% 4.11/0.90 inference(component_clause,[status(thm)],[f158])).
% 4.11/0.90 fof(f161,plain,(
% 4.11/0.90 spl0_1 <=> aNaturalNumber0(xm)),
% 4.11/0.90 introduced(split_symbol_definition)).
% 4.11/0.90 fof(f163,plain,(
% 4.11/0.90 ~aNaturalNumber0(xm)|spl0_1),
% 4.11/0.90 inference(component_clause,[status(thm)],[f161])).
% 4.11/0.90 fof(f169,plain,(
% 4.11/0.90 $false|spl0_1),
% 4.11/0.91 inference(forward_subsumption_resolution,[status(thm)],[f163,f138])).
% 4.11/0.91 fof(f170,plain,(
% 4.11/0.91 spl0_1),
% 4.11/0.91 inference(contradiction_clause,[status(thm)],[f169])).
% 4.11/0.91 fof(f171,plain,(
% 4.11/0.91 $false|spl0_0),
% 4.11/0.91 inference(forward_subsumption_resolution,[status(thm)],[f160,f139])).
% 4.11/0.91 fof(f172,plain,(
% 4.11/0.91 spl0_0),
% 4.11/0.91 inference(contradiction_clause,[status(thm)],[f171])).
% 4.11/0.91 fof(f192,plain,(
% 4.11/0.91 spl0_6 <=> aNaturalNumber0(sk0_2)),
% 4.11/0.91 introduced(split_symbol_definition)).
% 4.11/0.91 fof(f194,plain,(
% 4.11/0.91 ~aNaturalNumber0(sk0_2)|spl0_6),
% 4.11/0.91 inference(component_clause,[status(thm)],[f192])).
% 4.11/0.91 fof(f202,plain,(
% 4.11/0.91 $false|spl0_6),
% 4.11/0.91 inference(forward_subsumption_resolution,[status(thm)],[f194,f141])).
% 4.11/0.91 fof(f203,plain,(
% 4.11/0.91 spl0_6),
% 4.11/0.91 inference(contradiction_clause,[status(thm)],[f202])).
% 4.11/0.91 fof(f288,plain,(
% 4.11/0.91 spl0_22 <=> sdtlseqdt0(xm,xn)),
% 4.11/0.91 introduced(split_symbol_definition)).
% 4.11/0.91 fof(f324,plain,(
% 4.11/0.91 spl0_27 <=> sz00=xn),
% 4.11/0.91 introduced(split_symbol_definition)).
% 4.11/0.91 fof(f325,plain,(
% 4.11/0.91 sz00=xn|~spl0_27),
% 4.11/0.91 inference(component_clause,[status(thm)],[f324])).
% 4.11/0.91 fof(f334,plain,(
% 4.11/0.91 $false|~spl0_27),
% 4.11/0.91 inference(forward_subsumption_resolution,[status(thm)],[f325,f144])).
% 4.11/0.91 fof(f335,plain,(
% 4.11/0.91 ~spl0_27),
% 4.11/0.91 inference(contradiction_clause,[status(thm)],[f334])).
% 4.11/0.91 fof(f366,plain,(
% 4.11/0.91 spl0_32 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(xm,X0)|~sdtlseqdt0(X0,xn)),
% 4.11/0.91 introduced(split_symbol_definition)).
% 4.11/0.91 fof(f367,plain,(
% 4.11/0.91 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(xm,X0)|~sdtlseqdt0(X0,xn)|~spl0_32)),
% 4.11/0.91 inference(component_clause,[status(thm)],[f366])).
% 4.11/0.91 fof(f369,plain,(
% 4.11/0.91 ![X0]: (~aNaturalNumber0(xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|~sdtlseqdt0(xm,X0)|~sdtlseqdt0(X0,xn))),
% 4.11/0.91 inference(resolution,[status(thm)],[f97,f147])).
% 4.11/0.91 fof(f370,plain,(
% 4.11/0.91 ~spl0_1|spl0_32|~spl0_0),
% 4.11/0.91 inference(split_clause,[status(thm)],[f369,f161,f366,f158])).
% 4.11/0.91 fof(f897,plain,(
% 4.11/0.91 spl0_70 <=> sk0_2=sz00),
% 4.11/0.91 introduced(split_symbol_definition)).
% 4.11/0.91 fof(f898,plain,(
% 4.11/0.91 sk0_2=sz00|~spl0_70),
% 4.11/0.91 inference(component_clause,[status(thm)],[f897])).
% 4.11/0.91 fof(f900,plain,(
% 4.11/0.91 ~aNaturalNumber0(sk0_2)|~aNaturalNumber0(xm)|sk0_2=sz00|sdtlseqdt0(xm,xn)),
% 4.11/0.91 inference(paramodulation,[status(thm)],[f142,f115])).
% 4.11/0.91 fof(f901,plain,(
% 4.11/0.91 ~spl0_6|~spl0_1|spl0_70|spl0_22),
% 4.11/0.91 inference(split_clause,[status(thm)],[f900,f192,f161,f897,f288])).
% 4.11/0.91 fof(f1497,plain,(
% 4.11/0.91 ~aNaturalNumber0(xm)|~sdtlseqdt0(xm,xn)|~aNaturalNumber0(xm)|~spl0_32),
% 4.11/0.91 inference(resolution,[status(thm)],[f367,f93])).
% 4.11/0.91 fof(f1498,plain,(
% 4.11/0.91 ~spl0_1|~spl0_22|~spl0_32),
% 4.11/0.91 inference(split_clause,[status(thm)],[f1497,f161,f288,f366])).
% 4.11/0.91 fof(f1943,plain,(
% 4.11/0.91 xn=sdtasdt0(xm,sz00)|~spl0_70),
% 4.11/0.91 inference(forward_demodulation,[status(thm)],[f898,f142])).
% 4.11/0.91 fof(f1944,plain,(
% 4.11/0.91 ~aNaturalNumber0(xm)|xn=sz00|~spl0_70),
% 4.11/0.91 inference(paramodulation,[status(thm)],[f1943,f64])).
% 4.11/0.91 fof(f1945,plain,(
% 4.11/0.91 ~spl0_1|spl0_27|~spl0_70),
% 4.11/0.91 inference(split_clause,[status(thm)],[f1944,f161,f324,f897])).
% 4.11/0.91 fof(f2010,plain,(
% 4.11/0.91 $false),
% 4.11/0.91 inference(sat_refutation,[status(thm)],[f170,f172,f203,f335,f370,f901,f1498,f1945])).
% 4.11/0.91 % SZS output end CNFRefutation for theBenchmark.p
% 4.11/0.92 % Elapsed time: 0.593254 seconds
% 4.11/0.92 % CPU time: 4.571340 seconds
% 4.11/0.92 % Total memory used: 96.822 MB
% 4.11/0.92 % Net memory used: 94.688 MB
%------------------------------------------------------------------------------