TSTP Solution File: NUM463+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM463+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:34:46 EDT 2024
% Result : Theorem 16.92s 2.45s
% Output : CNFRefutation 16.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : NUM463+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n022.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Mon Apr 29 20:54:13 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.07/0.28 % Drodi V3.6.0
% 16.92/2.45 % Refutation found
% 16.92/2.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.92/2.45 % SZS output start CNFRefutation for theBenchmark
% 16.92/2.45 fof(f2,axiom,(
% 16.92/2.45 aNaturalNumber0(sz00) ),
% 16.92/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.92/2.45 fof(f3,axiom,(
% 16.92/2.45 ( aNaturalNumber0(sz10)& sz10 != sz00 ) ),
% 16.92/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.92/2.45 fof(f8,axiom,(
% 16.92/2.45 (! [W0] :( aNaturalNumber0(W0)=> ( sdtpldt0(W0,sz00) = W0& W0 = sdtpldt0(sz00,W0) ) ) )),
% 16.92/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.92/2.45 fof(f9,axiom,(
% 16.92/2.45 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) )),
% 16.92/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.92/2.45 fof(f11,axiom,(
% 16.92/2.45 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz10) = W0& W0 = sdtasdt0(sz10,W0) ) ) )),
% 16.92/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.92/2.45 fof(f12,axiom,(
% 16.92/2.45 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 16.92/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.92/2.45 fof(f18,definition,(
% 16.92/2.45 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) )) ) )),
% 16.92/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.92/2.45 fof(f20,axiom,(
% 16.92/2.45 (! [W0] :( aNaturalNumber0(W0)=> sdtlseqdt0(W0,W0) ) )),
% 16.92/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.92/2.45 fof(f25,axiom,(
% 16.92/2.45 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( W0 != sz00& W1 != W2& sdtlseqdt0(W1,W2) )=> ( sdtasdt0(W0,W1) != sdtasdt0(W0,W2)& sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))& sdtasdt0(W1,W0) != sdtasdt0(W2,W0)& sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) ) )),
% 16.92/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.92/2.45 fof(f26,axiom,(
% 16.92/2.45 (! [W0] :( aNaturalNumber0(W0)=> ( W0 = sz00| W0 = sz10| ( sz10 != W0& sdtlseqdt0(sz10,W0) ) ) ) )),
% 16.92/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.92/2.45 fof(f27,hypothesis,(
% 16.92/2.45 ( aNaturalNumber0(xm)& aNaturalNumber0(xn) ) ),
% 16.92/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.92/2.45 fof(f28,conjecture,(
% 16.92/2.45 ( xm != sz00=> sdtlseqdt0(xn,sdtasdt0(xn,xm)) ) ),
% 16.92/2.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.92/2.45 fof(f29,negated_conjecture,(
% 16.92/2.45 ~(( xm != sz00=> sdtlseqdt0(xn,sdtasdt0(xn,xm)) ) )),
% 16.92/2.45 inference(negated_conjecture,[status(cth)],[f28])).
% 16.92/2.45 fof(f33,plain,(
% 16.92/2.45 aNaturalNumber0(sz00)),
% 16.92/2.45 inference(cnf_transformation,[status(esa)],[f2])).
% 16.92/2.45 fof(f34,plain,(
% 16.92/2.45 aNaturalNumber0(sz10)),
% 16.92/2.45 inference(cnf_transformation,[status(esa)],[f3])).
% 16.92/2.45 fof(f44,plain,(
% 16.92/2.45 ![W0]: (~aNaturalNumber0(W0)|(sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)))),
% 16.92/2.45 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 16.92/2.45 fof(f45,plain,(
% 16.92/2.45 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(X0,sz00)=X0)),
% 16.92/2.45 inference(cnf_transformation,[status(esa)],[f44])).
% 16.92/2.45 fof(f47,plain,(
% 16.92/2.45 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|sdtasdt0(W0,W1)=sdtasdt0(W1,W0))),
% 16.92/2.45 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 16.92/2.45 fof(f48,plain,(
% 16.92/2.45 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 16.92/2.45 inference(cnf_transformation,[status(esa)],[f47])).
% 16.92/2.45 fof(f51,plain,(
% 16.92/2.45 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),
% 16.92/2.45 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 16.92/2.45 fof(f52,plain,(
% 16.92/2.45 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz10)=X0)),
% 16.92/2.45 inference(cnf_transformation,[status(esa)],[f51])).
% 16.92/2.45 fof(f54,plain,(
% 16.92/2.45 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 16.92/2.45 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 16.92/2.45 fof(f56,plain,(
% 16.92/2.45 ![X0]: (~aNaturalNumber0(X0)|sz00=sdtasdt0(sz00,X0))),
% 16.92/2.45 inference(cnf_transformation,[status(esa)],[f54])).
% 16.92/2.45 fof(f71,plain,(
% 16.92/2.45 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))))),
% 16.92/2.45 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 16.92/2.45 fof(f72,plain,(
% 16.92/2.45 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))&(sdtlseqdt0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1)))))),
% 16.92/2.47 inference(NNF_transformation,[status(esa)],[f71])).
% 16.92/2.47 fof(f73,plain,(
% 16.92/2.47 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|(aNaturalNumber0(sk0_0(W1,W0))&sdtpldt0(W0,sk0_0(W1,W0))=W1))&(sdtlseqdt0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1)))))),
% 16.92/2.47 inference(skolemization,[status(esa)],[f72])).
% 16.92/2.47 fof(f76,plain,(
% 16.92/2.47 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X2)=X1)),
% 16.92/2.47 inference(cnf_transformation,[status(esa)],[f73])).
% 16.92/2.47 fof(f83,plain,(
% 16.92/2.47 ![W0]: (~aNaturalNumber0(W0)|sdtlseqdt0(W0,W0))),
% 16.92/2.47 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 16.92/2.47 fof(f84,plain,(
% 16.92/2.47 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,X0))),
% 16.92/2.47 inference(cnf_transformation,[status(esa)],[f83])).
% 16.92/2.47 fof(f97,plain,(
% 16.92/2.47 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|(((W0=sz00|W1=W2)|~sdtlseqdt0(W1,W2))|(((~sdtasdt0(W0,W1)=sdtasdt0(W0,W2)&sdtlseqdt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)))&~sdtasdt0(W1,W0)=sdtasdt0(W2,W0))&sdtlseqdt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)))))),
% 16.92/2.47 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 16.92/2.47 fof(f101,plain,(
% 16.92/2.47 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)))),
% 16.92/2.47 inference(cnf_transformation,[status(esa)],[f97])).
% 16.92/2.47 fof(f102,plain,(
% 16.92/2.47 ![W0]: (~aNaturalNumber0(W0)|((W0=sz00|W0=sz10)|(~sz10=W0&sdtlseqdt0(sz10,W0))))),
% 16.92/2.47 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 16.92/2.47 fof(f104,plain,(
% 16.92/2.47 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|sdtlseqdt0(sz10,X0))),
% 16.92/2.47 inference(cnf_transformation,[status(esa)],[f102])).
% 16.92/2.47 fof(f105,plain,(
% 16.92/2.47 aNaturalNumber0(xm)),
% 16.92/2.47 inference(cnf_transformation,[status(esa)],[f27])).
% 16.92/2.47 fof(f106,plain,(
% 16.92/2.47 aNaturalNumber0(xn)),
% 16.92/2.47 inference(cnf_transformation,[status(esa)],[f27])).
% 16.92/2.47 fof(f107,plain,(
% 16.92/2.47 (~xm=sz00&~sdtlseqdt0(xn,sdtasdt0(xn,xm)))),
% 16.92/2.47 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 16.92/2.47 fof(f108,plain,(
% 16.92/2.47 ~xm=sz00),
% 16.92/2.47 inference(cnf_transformation,[status(esa)],[f107])).
% 16.92/2.47 fof(f109,plain,(
% 16.92/2.47 ~sdtlseqdt0(xn,sdtasdt0(xn,xm))),
% 16.92/2.47 inference(cnf_transformation,[status(esa)],[f107])).
% 16.92/2.47 fof(f116,plain,(
% 16.92/2.47 sdtlseqdt0(xn,xn)),
% 16.92/2.47 inference(resolution,[status(thm)],[f84,f106])).
% 16.92/2.47 fof(f118,plain,(
% 16.92/2.47 sdtlseqdt0(sz00,sz00)),
% 16.92/2.47 inference(resolution,[status(thm)],[f84,f33])).
% 16.92/2.47 fof(f126,plain,(
% 16.92/2.47 sz00=sdtasdt0(sz00,xm)),
% 16.92/2.47 inference(resolution,[status(thm)],[f56,f105])).
% 16.92/2.47 fof(f143,plain,(
% 16.92/2.47 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,xn)=sdtasdt0(xn,X0))),
% 16.92/2.47 inference(resolution,[status(thm)],[f48,f106])).
% 16.92/2.47 fof(f144,plain,(
% 16.92/2.47 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,xm)=sdtasdt0(xm,X0))),
% 16.92/2.47 inference(resolution,[status(thm)],[f48,f105])).
% 16.92/2.47 fof(f167,plain,(
% 16.92/2.47 sdtpldt0(sz10,sz00)=sz10),
% 16.92/2.47 inference(resolution,[status(thm)],[f34,f45])).
% 16.92/2.47 fof(f193,plain,(
% 16.92/2.47 sdtasdt0(sz10,xn)=sdtasdt0(xn,sz10)),
% 16.92/2.47 inference(resolution,[status(thm)],[f143,f34])).
% 16.92/2.47 fof(f194,plain,(
% 16.92/2.47 sdtasdt0(xm,xn)=sdtasdt0(xn,xm)),
% 16.92/2.47 inference(resolution,[status(thm)],[f143,f105])).
% 16.92/2.47 fof(f198,plain,(
% 16.92/2.47 ~sdtlseqdt0(xn,sdtasdt0(xm,xn))),
% 16.92/2.47 inference(backward_demodulation,[status(thm)],[f194,f109])).
% 16.92/2.47 fof(f203,plain,(
% 16.92/2.47 sdtasdt0(sz00,xm)=sdtasdt0(xm,sz00)),
% 16.92/2.47 inference(resolution,[status(thm)],[f144,f33])).
% 16.92/2.47 fof(f204,plain,(
% 16.92/2.47 sz00=sdtasdt0(xm,sz00)),
% 16.92/2.47 inference(forward_demodulation,[status(thm)],[f126,f203])).
% 16.92/2.47 fof(f242,plain,(
% 16.92/2.47 sdtasdt0(xn,sz10)=xn),
% 16.92/2.47 inference(resolution,[status(thm)],[f52,f106])).
% 16.92/2.47 fof(f246,plain,(
% 16.92/2.47 sdtasdt0(sz10,xn)=xn),
% 16.92/2.47 inference(backward_demodulation,[status(thm)],[f242,f193])).
% 16.92/2.47 fof(f536,plain,(
% 16.92/2.47 spl0_0 <=> aNaturalNumber0(sz00)),
% 16.92/2.47 introduced(split_symbol_definition)).
% 16.92/2.47 fof(f538,plain,(
% 16.92/2.47 ~aNaturalNumber0(sz00)|spl0_0),
% 16.92/2.47 inference(component_clause,[status(thm)],[f536])).
% 16.92/2.47 fof(f547,plain,(
% 16.92/2.47 spl0_3 <=> aNaturalNumber0(xm)),
% 16.92/2.47 introduced(split_symbol_definition)).
% 16.92/2.47 fof(f549,plain,(
% 16.92/2.47 ~aNaturalNumber0(xm)|spl0_3),
% 16.92/2.47 inference(component_clause,[status(thm)],[f547])).
% 16.92/2.47 fof(f579,plain,(
% 16.92/2.47 $false|spl0_3),
% 16.92/2.47 inference(forward_subsumption_resolution,[status(thm)],[f549,f105])).
% 16.92/2.47 fof(f580,plain,(
% 16.92/2.47 spl0_3),
% 16.92/2.47 inference(contradiction_clause,[status(thm)],[f579])).
% 16.92/2.47 fof(f581,plain,(
% 16.92/2.47 $false|spl0_0),
% 16.92/2.47 inference(forward_subsumption_resolution,[status(thm)],[f538,f33])).
% 16.92/2.47 fof(f582,plain,(
% 16.92/2.47 spl0_0),
% 16.92/2.47 inference(contradiction_clause,[status(thm)],[f581])).
% 16.92/2.47 fof(f629,plain,(
% 16.92/2.47 spl0_15 <=> aNaturalNumber0(sz10)),
% 16.92/2.47 introduced(split_symbol_definition)).
% 16.92/2.47 fof(f631,plain,(
% 16.92/2.47 ~aNaturalNumber0(sz10)|spl0_15),
% 16.92/2.47 inference(component_clause,[status(thm)],[f629])).
% 16.92/2.47 fof(f728,plain,(
% 16.92/2.47 $false|spl0_15),
% 16.92/2.47 inference(forward_subsumption_resolution,[status(thm)],[f631,f34])).
% 16.92/2.47 fof(f729,plain,(
% 16.92/2.47 spl0_15),
% 16.92/2.47 inference(contradiction_clause,[status(thm)],[f728])).
% 16.92/2.47 fof(f966,plain,(
% 16.92/2.47 spl0_50 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(sz10,X0)|~sz10=X0),
% 16.92/2.47 introduced(split_symbol_definition)).
% 16.92/2.47 fof(f967,plain,(
% 16.92/2.47 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(sz10,X0)|~sz10=X0|~spl0_50)),
% 16.92/2.47 inference(component_clause,[status(thm)],[f966])).
% 16.92/2.47 fof(f969,plain,(
% 16.92/2.47 ![X0]: (~aNaturalNumber0(sz10)|~aNaturalNumber0(X0)|sdtlseqdt0(sz10,X0)|~aNaturalNumber0(sz00)|~sz10=X0)),
% 16.92/2.47 inference(paramodulation,[status(thm)],[f167,f76])).
% 16.92/2.47 fof(f970,plain,(
% 16.92/2.47 ~spl0_15|spl0_50|~spl0_0),
% 16.92/2.47 inference(split_clause,[status(thm)],[f969,f629,f966,f536])).
% 16.92/2.47 fof(f971,plain,(
% 16.92/2.47 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|sdtlseqdt0(sz10,X0)|~spl0_50)),
% 16.92/2.47 inference(backward_subsumption_resolution,[status(thm)],[f104,f967])).
% 16.92/2.47 fof(f1612,plain,(
% 16.92/2.47 spl0_73 <=> xn=sz00),
% 16.92/2.47 introduced(split_symbol_definition)).
% 16.92/2.47 fof(f1613,plain,(
% 16.92/2.47 xn=sz00|~spl0_73),
% 16.92/2.47 inference(component_clause,[status(thm)],[f1612])).
% 16.92/2.47 fof(f1620,plain,(
% 16.92/2.47 spl0_75 <=> xm=sz00),
% 16.92/2.47 introduced(split_symbol_definition)).
% 16.92/2.47 fof(f1621,plain,(
% 16.92/2.47 xm=sz00|~spl0_75),
% 16.92/2.47 inference(component_clause,[status(thm)],[f1620])).
% 16.92/2.47 fof(f1696,plain,(
% 16.92/2.47 spl0_93 <=> sdtlseqdt0(sz10,xm)),
% 16.92/2.47 introduced(split_symbol_definition)).
% 16.92/2.47 fof(f1697,plain,(
% 16.92/2.47 sdtlseqdt0(sz10,xm)|~spl0_93),
% 16.92/2.47 inference(component_clause,[status(thm)],[f1696])).
% 16.92/2.47 fof(f1699,plain,(
% 16.92/2.47 xm=sz00|sdtlseqdt0(sz10,xm)|~spl0_50),
% 16.92/2.47 inference(resolution,[status(thm)],[f971,f105])).
% 16.92/2.47 fof(f1700,plain,(
% 16.92/2.47 spl0_75|spl0_93|~spl0_50),
% 16.92/2.47 inference(split_clause,[status(thm)],[f1699,f1620,f1696,f966])).
% 16.92/2.47 fof(f1703,plain,(
% 16.92/2.47 $false|~spl0_75),
% 16.92/2.47 inference(forward_subsumption_resolution,[status(thm)],[f1621,f108])).
% 16.92/2.47 fof(f1704,plain,(
% 16.92/2.47 ~spl0_75),
% 16.92/2.47 inference(contradiction_clause,[status(thm)],[f1703])).
% 16.92/2.47 fof(f1762,plain,(
% 16.92/2.47 ~sdtlseqdt0(xn,sdtasdt0(xm,sz00))|~spl0_73),
% 16.92/2.47 inference(backward_demodulation,[status(thm)],[f1613,f198])).
% 16.92/2.47 fof(f1763,plain,(
% 16.92/2.47 ~sdtlseqdt0(sz00,sdtasdt0(xm,sz00))|~spl0_73),
% 16.92/2.47 inference(forward_demodulation,[status(thm)],[f1613,f1762])).
% 16.92/2.47 fof(f1764,plain,(
% 16.92/2.47 ~sdtlseqdt0(sz00,sz00)|~spl0_73),
% 16.92/2.47 inference(forward_demodulation,[status(thm)],[f204,f1763])).
% 16.92/2.47 fof(f1765,plain,(
% 16.92/2.47 $false|~spl0_73),
% 16.92/2.47 inference(forward_subsumption_resolution,[status(thm)],[f1764,f118])).
% 16.92/2.47 fof(f1766,plain,(
% 16.92/2.47 ~spl0_73),
% 16.92/2.47 inference(contradiction_clause,[status(thm)],[f1765])).
% 16.92/2.47 fof(f2832,plain,(
% 16.92/2.47 spl0_95 <=> xm=sz10),
% 16.92/2.47 introduced(split_symbol_definition)).
% 16.92/2.47 fof(f2833,plain,(
% 16.92/2.47 xm=sz10|~spl0_95),
% 16.92/2.47 inference(component_clause,[status(thm)],[f2832])).
% 16.92/2.47 fof(f3607,plain,(
% 16.92/2.47 ~sdtlseqdt0(xn,sdtasdt0(sz10,xn))|~spl0_95),
% 16.92/2.47 inference(backward_demodulation,[status(thm)],[f2833,f198])).
% 16.92/2.47 fof(f4761,plain,(
% 16.92/2.47 ~sdtlseqdt0(xn,xn)|~spl0_95),
% 16.92/2.47 inference(forward_demodulation,[status(thm)],[f246,f3607])).
% 16.92/2.47 fof(f4762,plain,(
% 16.92/2.47 $false|~spl0_95),
% 16.92/2.47 inference(forward_subsumption_resolution,[status(thm)],[f4761,f116])).
% 16.92/2.47 fof(f4763,plain,(
% 16.92/2.47 ~spl0_95),
% 16.92/2.47 inference(contradiction_clause,[status(thm)],[f4762])).
% 16.92/2.47 fof(f8006,plain,(
% 16.92/2.47 spl0_220 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(X1,xn))),
% 16.92/2.47 introduced(split_symbol_definition)).
% 16.92/2.47 fof(f8007,plain,(
% 16.92/2.47 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(X1,xn))|~spl0_220)),
% 16.92/2.47 inference(component_clause,[status(thm)],[f8006])).
% 16.92/2.47 fof(f8009,plain,(
% 16.92/2.47 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|xn=sz00|X0=X1|~sdtlseqdt0(X0,X1)|sdtlseqdt0(sdtasdt0(X0,xn),sdtasdt0(X1,xn)))),
% 16.92/2.47 inference(resolution,[status(thm)],[f101,f106])).
% 16.92/2.47 fof(f8010,plain,(
% 16.92/2.47 spl0_220|spl0_73),
% 16.92/2.47 inference(split_clause,[status(thm)],[f8009,f8006,f1612])).
% 16.92/2.47 fof(f9331,plain,(
% 16.92/2.47 spl0_298 <=> sdtlseqdt0(sdtasdt0(sz10,xn),sdtasdt0(xm,xn))),
% 16.92/2.47 introduced(split_symbol_definition)).
% 16.92/2.47 fof(f9332,plain,(
% 16.92/2.47 sdtlseqdt0(sdtasdt0(sz10,xn),sdtasdt0(xm,xn))|~spl0_298),
% 16.92/2.47 inference(component_clause,[status(thm)],[f9331])).
% 16.92/2.47 fof(f9334,plain,(
% 16.92/2.47 ~aNaturalNumber0(sz10)|~aNaturalNumber0(xm)|sz10=xm|sdtlseqdt0(sdtasdt0(sz10,xn),sdtasdt0(xm,xn))|~spl0_220|~spl0_93),
% 16.92/2.47 inference(resolution,[status(thm)],[f8007,f1697])).
% 16.92/2.47 fof(f9335,plain,(
% 16.92/2.47 ~spl0_15|~spl0_3|spl0_95|spl0_298|~spl0_220|~spl0_93),
% 16.92/2.47 inference(split_clause,[status(thm)],[f9334,f629,f547,f2832,f9331,f8006,f1696])).
% 16.92/2.47 fof(f9362,plain,(
% 16.92/2.47 sdtlseqdt0(xn,sdtasdt0(xm,xn))|~spl0_298),
% 16.92/2.47 inference(forward_demodulation,[status(thm)],[f246,f9332])).
% 16.92/2.47 fof(f9373,plain,(
% 16.92/2.47 $false|~spl0_298),
% 16.92/2.47 inference(forward_subsumption_resolution,[status(thm)],[f198,f9362])).
% 16.92/2.47 fof(f9374,plain,(
% 16.92/2.47 ~spl0_298),
% 16.92/2.47 inference(contradiction_clause,[status(thm)],[f9373])).
% 16.92/2.47 fof(f9375,plain,(
% 16.92/2.47 $false),
% 16.92/2.47 inference(sat_refutation,[status(thm)],[f580,f582,f729,f970,f1700,f1704,f1766,f4763,f8010,f9335,f9374])).
% 16.92/2.47 % SZS output end CNFRefutation for theBenchmark.p
% 16.92/2.48 % Elapsed time: 2.203952 seconds
% 16.92/2.48 % CPU time: 17.408694 seconds
% 16.92/2.48 % Total memory used: 180.236 MB
% 16.92/2.48 % Net memory used: 173.861 MB
%------------------------------------------------------------------------------