TSTP Solution File: NUM463+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM463+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 : Wed May 31 12:29:15 EDT 2023
% Result : Theorem 8.49s 1.45s
% Output : CNFRefutation 8.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : NUM463+2 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n017.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:22:10 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 8.49/1.45 % Refutation found
% 8.49/1.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.49/1.45 % SZS output start CNFRefutation for theBenchmark
% 8.49/1.45 fof(f2,axiom,(
% 8.49/1.45 aNaturalNumber0(sz00) ),
% 8.49/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.45 fof(f3,axiom,(
% 8.49/1.45 ( aNaturalNumber0(sz10)& sz10 != sz00 ) ),
% 8.49/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.45 fof(f5,axiom,(
% 8.49/1.45 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 8.49/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.45 fof(f8,axiom,(
% 8.49/1.45 (! [W0] :( aNaturalNumber0(W0)=> ( sdtpldt0(W0,sz00) = W0& W0 = sdtpldt0(sz00,W0) ) ) )),
% 8.49/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.45 fof(f9,axiom,(
% 8.49/1.45 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) )),
% 8.49/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.45 fof(f11,axiom,(
% 8.49/1.45 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz10) = W0& W0 = sdtasdt0(sz10,W0) ) ) )),
% 8.49/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.45 fof(f12,axiom,(
% 8.49/1.45 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 8.49/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.45 fof(f20,axiom,(
% 8.49/1.45 (! [W0] :( aNaturalNumber0(W0)=> sdtlseqdt0(W0,W0) ) )),
% 8.49/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.45 fof(f22,axiom,(
% 8.49/1.45 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W2) )=> sdtlseqdt0(W0,W2) ) ) )),
% 8.49/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.45 fof(f25,axiom,(
% 8.49/1.45 (! [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)) ) ) ) )),
% 8.49/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.45 fof(f26,axiom,(
% 8.49/1.45 (! [W0] :( aNaturalNumber0(W0)=> ( W0 = sz00| W0 = sz10| ( sz10 != W0& sdtlseqdt0(sz10,W0) ) ) ) )),
% 8.49/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.45 fof(f27,hypothesis,(
% 8.49/1.45 ( aNaturalNumber0(xm)& aNaturalNumber0(xn) ) ),
% 8.49/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.45 fof(f28,conjecture,(
% 8.49/1.45 ( xm != sz00=> ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xn,W0) = sdtasdt0(xn,xm) ))| sdtlseqdt0(xn,sdtasdt0(xn,xm)) ) ) ),
% 8.49/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.49/1.45 fof(f29,negated_conjecture,(
% 8.49/1.45 ~(( xm != sz00=> ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xn,W0) = sdtasdt0(xn,xm) ))| sdtlseqdt0(xn,sdtasdt0(xn,xm)) ) ) )),
% 8.49/1.45 inference(negated_conjecture,[status(cth)],[f28])).
% 8.49/1.45 fof(f33,plain,(
% 8.49/1.45 aNaturalNumber0(sz00)),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f2])).
% 8.49/1.45 fof(f34,plain,(
% 8.49/1.45 aNaturalNumber0(sz10)),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f3])).
% 8.49/1.45 fof(f38,plain,(
% 8.49/1.45 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 8.49/1.45 fof(f39,plain,(
% 8.49/1.45 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f38])).
% 8.49/1.45 fof(f44,plain,(
% 8.49/1.45 ![W0]: (~aNaturalNumber0(W0)|(sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 8.49/1.45 fof(f45,plain,(
% 8.49/1.45 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(X0,sz00)=X0)),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f44])).
% 8.49/1.45 fof(f47,plain,(
% 8.49/1.45 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|sdtasdt0(W0,W1)=sdtasdt0(W1,W0))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 8.49/1.45 fof(f48,plain,(
% 8.49/1.45 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f47])).
% 8.49/1.45 fof(f51,plain,(
% 8.49/1.45 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 8.49/1.45 fof(f52,plain,(
% 8.49/1.45 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz10)=X0)),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f51])).
% 8.49/1.45 fof(f53,plain,(
% 8.49/1.45 ![X0]: (~aNaturalNumber0(X0)|X0=sdtasdt0(sz10,X0))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f51])).
% 8.49/1.45 fof(f54,plain,(
% 8.49/1.45 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 8.49/1.45 fof(f55,plain,(
% 8.49/1.45 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz00)=sz00)),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f54])).
% 8.49/1.45 fof(f83,plain,(
% 8.49/1.45 ![W0]: (~aNaturalNumber0(W0)|sdtlseqdt0(W0,W0))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 8.49/1.45 fof(f84,plain,(
% 8.49/1.45 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,X0))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f83])).
% 8.49/1.45 fof(f87,plain,(
% 8.49/1.45 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W2))|sdtlseqdt0(W0,W2)))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 8.49/1.45 fof(f88,plain,(
% 8.49/1.45 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|sdtlseqdt0(X0,X2))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f87])).
% 8.49/1.45 fof(f97,plain,(
% 8.49/1.45 ![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)))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 8.49/1.45 fof(f101,plain,(
% 8.49/1.45 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f97])).
% 8.49/1.45 fof(f102,plain,(
% 8.49/1.45 ![W0]: (~aNaturalNumber0(W0)|((W0=sz00|W0=sz10)|(~sz10=W0&sdtlseqdt0(sz10,W0))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 8.49/1.45 fof(f104,plain,(
% 8.49/1.45 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|sdtlseqdt0(sz10,X0))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f102])).
% 8.49/1.45 fof(f105,plain,(
% 8.49/1.45 aNaturalNumber0(xm)),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f27])).
% 8.49/1.45 fof(f106,plain,(
% 8.49/1.45 aNaturalNumber0(xn)),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f27])).
% 8.49/1.45 fof(f107,plain,(
% 8.49/1.45 (~xm=sz00&((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(xn,W0)=sdtasdt0(xn,xm)))&~sdtlseqdt0(xn,sdtasdt0(xn,xm))))),
% 8.49/1.45 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 8.49/1.45 fof(f108,plain,(
% 8.49/1.45 ~xm=sz00),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f107])).
% 8.49/1.45 fof(f109,plain,(
% 8.49/1.45 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(xn,X0)=sdtasdt0(xn,xm))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f107])).
% 8.49/1.45 fof(f110,plain,(
% 8.49/1.45 ~sdtlseqdt0(xn,sdtasdt0(xn,xm))),
% 8.49/1.45 inference(cnf_transformation,[status(esa)],[f107])).
% 8.49/1.45 fof(f117,plain,(
% 8.49/1.45 ~sdtpldt0(xn,sz00)=sdtasdt0(xn,xm)),
% 8.49/1.45 inference(resolution,[status(thm)],[f33,f109])).
% 8.49/1.45 fof(f121,plain,(
% 8.49/1.45 sdtpldt0(xn,sz00)=xn),
% 8.49/1.45 inference(resolution,[status(thm)],[f45,f106])).
% 8.49/1.45 fof(f125,plain,(
% 8.49/1.45 ~xn=sdtasdt0(xn,xm)),
% 8.49/1.45 inference(backward_demodulation,[status(thm)],[f121,f117])).
% 8.49/1.45 fof(f126,plain,(
% 8.49/1.45 spl0_0 <=> aNaturalNumber0(xn)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f128,plain,(
% 8.49/1.45 ~aNaturalNumber0(xn)|spl0_0),
% 8.49/1.45 inference(component_clause,[status(thm)],[f126])).
% 8.49/1.45 fof(f134,plain,(
% 8.49/1.45 spl0_2 <=> aNaturalNumber0(xm)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f136,plain,(
% 8.49/1.45 ~aNaturalNumber0(xm)|spl0_2),
% 8.49/1.45 inference(component_clause,[status(thm)],[f134])).
% 8.49/1.45 fof(f161,plain,(
% 8.49/1.45 spl0_3 <=> aNaturalNumber0(sz10)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f163,plain,(
% 8.49/1.45 ~aNaturalNumber0(sz10)|spl0_3),
% 8.49/1.45 inference(component_clause,[status(thm)],[f161])).
% 8.49/1.45 fof(f171,plain,(
% 8.49/1.45 sdtasdt0(xm,sz10)=xm),
% 8.49/1.45 inference(resolution,[status(thm)],[f52,f105])).
% 8.49/1.45 fof(f184,plain,(
% 8.49/1.45 xn=sdtasdt0(sz10,xn)),
% 8.49/1.45 inference(resolution,[status(thm)],[f53,f106])).
% 8.49/1.45 fof(f216,plain,(
% 8.49/1.45 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,xn)=sdtasdt0(xn,X0))),
% 8.49/1.45 inference(resolution,[status(thm)],[f48,f106])).
% 8.49/1.45 fof(f418,plain,(
% 8.49/1.45 sdtasdt0(xm,sz00)=sz00),
% 8.49/1.45 inference(resolution,[status(thm)],[f55,f105])).
% 8.49/1.45 fof(f460,plain,(
% 8.49/1.45 $false|spl0_3),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f163,f34])).
% 8.49/1.45 fof(f461,plain,(
% 8.49/1.45 spl0_3),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f460])).
% 8.49/1.45 fof(f462,plain,(
% 8.49/1.45 $false|spl0_0),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f128,f106])).
% 8.49/1.45 fof(f463,plain,(
% 8.49/1.45 spl0_0),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f462])).
% 8.49/1.45 fof(f471,plain,(
% 8.49/1.45 $false|spl0_2),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f136,f105])).
% 8.49/1.45 fof(f472,plain,(
% 8.49/1.45 spl0_2),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f471])).
% 8.49/1.45 fof(f550,plain,(
% 8.49/1.45 sdtasdt0(xm,xn)=sdtasdt0(xn,xm)),
% 8.49/1.45 inference(resolution,[status(thm)],[f216,f105])).
% 8.49/1.45 fof(f588,plain,(
% 8.49/1.45 ~xn=sdtasdt0(xm,xn)),
% 8.49/1.45 inference(backward_demodulation,[status(thm)],[f550,f125])).
% 8.49/1.45 fof(f590,plain,(
% 8.49/1.45 ~sdtlseqdt0(xn,sdtasdt0(xm,xn))),
% 8.49/1.45 inference(backward_demodulation,[status(thm)],[f550,f110])).
% 8.49/1.45 fof(f591,plain,(
% 8.49/1.45 spl0_7 <=> aNaturalNumber0(sdtasdt0(xm,xn))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f1618,plain,(
% 8.49/1.45 spl0_77 <=> xn=sz00),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f1619,plain,(
% 8.49/1.45 xn=sz00|~spl0_77),
% 8.49/1.45 inference(component_clause,[status(thm)],[f1618])).
% 8.49/1.45 fof(f1643,plain,(
% 8.49/1.45 spl0_83 <=> xm=sz00),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f1644,plain,(
% 8.49/1.45 xm=sz00|~spl0_83),
% 8.49/1.45 inference(component_clause,[status(thm)],[f1643])).
% 8.49/1.45 fof(f1717,plain,(
% 8.49/1.45 $false|~spl0_83),
% 8.49/1.45 inference(forward_subsumption_resolution,[status(thm)],[f1644,f108])).
% 8.49/1.45 fof(f1718,plain,(
% 8.49/1.45 ~spl0_83),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f1717])).
% 8.49/1.45 fof(f1818,plain,(
% 8.49/1.45 ~sz00=sdtasdt0(xm,xn)|~spl0_77),
% 8.49/1.45 inference(forward_demodulation,[status(thm)],[f1619,f588])).
% 8.49/1.45 fof(f1819,plain,(
% 8.49/1.45 ~sz00=sdtasdt0(xm,sz00)|~spl0_77),
% 8.49/1.45 inference(forward_demodulation,[status(thm)],[f1619,f1818])).
% 8.49/1.45 fof(f1820,plain,(
% 8.49/1.45 ~sz00=sz00|~spl0_77),
% 8.49/1.45 inference(forward_demodulation,[status(thm)],[f418,f1819])).
% 8.49/1.45 fof(f1821,plain,(
% 8.49/1.45 $false|~spl0_77),
% 8.49/1.45 inference(trivial_equality_resolution,[status(esa)],[f1820])).
% 8.49/1.45 fof(f1822,plain,(
% 8.49/1.45 ~spl0_77),
% 8.49/1.45 inference(contradiction_clause,[status(thm)],[f1821])).
% 8.49/1.45 fof(f1866,plain,(
% 8.49/1.45 ![X0]: (~aNaturalNumber0(X0)|aNaturalNumber0(sdtasdt0(X0,xm)))),
% 8.49/1.45 inference(resolution,[status(thm)],[f39,f105])).
% 8.49/1.45 fof(f2941,plain,(
% 8.49/1.45 spl0_209 <=> sdtlseqdt0(xn,xn)),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f2942,plain,(
% 8.49/1.45 sdtlseqdt0(xn,xn)|~spl0_209),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2941])).
% 8.49/1.45 fof(f2943,plain,(
% 8.49/1.45 ~sdtlseqdt0(xn,xn)|spl0_209),
% 8.49/1.45 inference(component_clause,[status(thm)],[f2941])).
% 8.49/1.45 fof(f3042,plain,(
% 8.49/1.45 ~aNaturalNumber0(xn)|spl0_209),
% 8.49/1.45 inference(resolution,[status(thm)],[f2943,f84])).
% 8.49/1.45 fof(f3043,plain,(
% 8.49/1.45 ~spl0_0|spl0_209),
% 8.49/1.45 inference(split_clause,[status(thm)],[f3042,f126,f2941])).
% 8.49/1.45 fof(f4422,plain,(
% 8.49/1.45 spl0_416 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|X1=sz00|sz10=X0|sdtlseqdt0(sdtasdt0(sz10,X1),sdtasdt0(X0,X1))),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f4423,plain,(
% 8.49/1.45 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|X1=sz00|sz10=X0|sdtlseqdt0(sdtasdt0(sz10,X1),sdtasdt0(X0,X1))|~spl0_416)),
% 8.49/1.45 inference(component_clause,[status(thm)],[f4422])).
% 8.49/1.45 fof(f4425,plain,(
% 8.49/1.45 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X0)|X1=sz00|sz10=X0|sdtlseqdt0(sdtasdt0(sz10,X1),sdtasdt0(X0,X1)))),
% 8.49/1.45 inference(resolution,[status(thm)],[f104,f101])).
% 8.49/1.45 fof(f4426,plain,(
% 8.49/1.45 spl0_416|~spl0_3),
% 8.49/1.45 inference(split_clause,[status(thm)],[f4425,f4422,f161])).
% 8.49/1.45 fof(f4508,plain,(
% 8.49/1.45 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|X1=sz00|sdtlseqdt0(sdtasdt0(sz10,X1),sdtasdt0(X0,X1))|~spl0_416)),
% 8.49/1.45 inference(duplicate_literals_removal,[status(esa)],[f4423])).
% 8.49/1.45 fof(f4879,plain,(
% 8.49/1.45 ~aNaturalNumber0(xn)|aNaturalNumber0(sdtasdt0(xm,xn))),
% 8.49/1.45 inference(paramodulation,[status(thm)],[f550,f1866])).
% 8.49/1.45 fof(f4880,plain,(
% 8.49/1.45 ~spl0_0|spl0_7),
% 8.49/1.45 inference(split_clause,[status(thm)],[f4879,f126,f591])).
% 8.49/1.45 fof(f5590,plain,(
% 8.49/1.45 spl0_472 <=> xm=sz10),
% 8.49/1.45 introduced(split_symbol_definition)).
% 8.49/1.45 fof(f5591,plain,(
% 8.49/1.45 xm=sz10|~spl0_472),
% 8.49/1.45 inference(component_clause,[status(thm)],[f5590])).
% 8.49/1.45 fof(f6123,plain,(
% 8.49/1.45 ~sdtlseqdt0(xn,sdtasdt0(sz10,xn))|~spl0_472),
% 8.49/1.47 inference(backward_demodulation,[status(thm)],[f5591,f590])).
% 8.49/1.47 fof(f6124,plain,(
% 8.49/1.47 ~sdtlseqdt0(xn,xn)|~spl0_472),
% 8.49/1.47 inference(forward_demodulation,[status(thm)],[f184,f6123])).
% 8.49/1.47 fof(f6125,plain,(
% 8.49/1.47 $false|~spl0_209|~spl0_472),
% 8.49/1.47 inference(forward_subsumption_resolution,[status(thm)],[f6124,f2942])).
% 8.49/1.47 fof(f6126,plain,(
% 8.49/1.47 ~spl0_209|~spl0_472),
% 8.49/1.47 inference(contradiction_clause,[status(thm)],[f6125])).
% 8.49/1.47 fof(f7310,plain,(
% 8.49/1.47 spl0_559 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(xn,X0)|~sdtlseqdt0(X0,sdtasdt0(xm,xn))),
% 8.49/1.47 introduced(split_symbol_definition)).
% 8.49/1.47 fof(f7311,plain,(
% 8.49/1.47 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(xn,X0)|~sdtlseqdt0(X0,sdtasdt0(xm,xn))|~spl0_559)),
% 8.49/1.47 inference(component_clause,[status(thm)],[f7310])).
% 8.49/1.47 fof(f7313,plain,(
% 8.49/1.47 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(xm,xn))|~sdtlseqdt0(xn,X0)|~sdtlseqdt0(X0,sdtasdt0(xm,xn)))),
% 8.49/1.47 inference(resolution,[status(thm)],[f88,f590])).
% 8.49/1.47 fof(f7314,plain,(
% 8.49/1.47 ~spl0_0|spl0_559|~spl0_7),
% 8.49/1.47 inference(split_clause,[status(thm)],[f7313,f126,f7310,f591])).
% 8.49/1.47 fof(f16586,plain,(
% 8.49/1.47 spl0_886 <=> aNaturalNumber0(sdtasdt0(sz10,xn))),
% 8.49/1.47 introduced(split_symbol_definition)).
% 8.49/1.47 fof(f16588,plain,(
% 8.49/1.47 ~aNaturalNumber0(sdtasdt0(sz10,xn))|spl0_886),
% 8.49/1.47 inference(component_clause,[status(thm)],[f16586])).
% 8.49/1.47 fof(f16589,plain,(
% 8.49/1.47 spl0_887 <=> sdtlseqdt0(xn,sdtasdt0(sz10,xn))),
% 8.49/1.47 introduced(split_symbol_definition)).
% 8.49/1.47 fof(f16591,plain,(
% 8.49/1.47 ~sdtlseqdt0(xn,sdtasdt0(sz10,xn))|spl0_887),
% 8.49/1.47 inference(component_clause,[status(thm)],[f16589])).
% 8.49/1.47 fof(f16592,plain,(
% 8.49/1.47 ~aNaturalNumber0(sdtasdt0(sz10,xn))|~sdtlseqdt0(xn,sdtasdt0(sz10,xn))|~aNaturalNumber0(xm)|xm=sz00|xm=sz10|~aNaturalNumber0(xn)|xn=sz00|~spl0_559|~spl0_416),
% 8.49/1.47 inference(resolution,[status(thm)],[f7311,f4508])).
% 8.49/1.47 fof(f16593,plain,(
% 8.49/1.47 ~spl0_886|~spl0_887|~spl0_2|spl0_83|spl0_472|~spl0_0|spl0_77|~spl0_559|~spl0_416),
% 8.49/1.47 inference(split_clause,[status(thm)],[f16592,f16586,f16589,f134,f1643,f5590,f126,f1618,f7310,f4422])).
% 8.49/1.47 fof(f16594,plain,(
% 8.49/1.47 spl0_888 <=> aNaturalNumber0(sdtasdt0(xm,sz10))),
% 8.49/1.47 introduced(split_symbol_definition)).
% 8.49/1.47 fof(f16596,plain,(
% 8.49/1.47 ~aNaturalNumber0(sdtasdt0(xm,sz10))|spl0_888),
% 8.49/1.47 inference(component_clause,[status(thm)],[f16594])).
% 8.49/1.47 fof(f16604,plain,(
% 8.49/1.47 ~aNaturalNumber0(xn)|spl0_886),
% 8.49/1.47 inference(forward_demodulation,[status(thm)],[f184,f16588])).
% 8.49/1.47 fof(f16605,plain,(
% 8.49/1.47 $false|spl0_886),
% 8.49/1.47 inference(forward_subsumption_resolution,[status(thm)],[f16604,f106])).
% 8.49/1.47 fof(f16606,plain,(
% 8.49/1.47 spl0_886),
% 8.49/1.47 inference(contradiction_clause,[status(thm)],[f16605])).
% 8.49/1.47 fof(f16607,plain,(
% 8.49/1.47 ~aNaturalNumber0(xm)|spl0_888),
% 8.49/1.47 inference(forward_demodulation,[status(thm)],[f171,f16596])).
% 8.49/1.47 fof(f16608,plain,(
% 8.49/1.47 $false|spl0_888),
% 8.49/1.47 inference(forward_subsumption_resolution,[status(thm)],[f16607,f105])).
% 8.49/1.47 fof(f16609,plain,(
% 8.49/1.47 spl0_888),
% 8.49/1.47 inference(contradiction_clause,[status(thm)],[f16608])).
% 8.49/1.47 fof(f16611,plain,(
% 8.49/1.47 ~sdtlseqdt0(xn,xn)|spl0_887),
% 8.49/1.47 inference(forward_demodulation,[status(thm)],[f184,f16591])).
% 8.49/1.47 fof(f16612,plain,(
% 8.49/1.47 $false|~spl0_209|spl0_887),
% 8.49/1.47 inference(forward_subsumption_resolution,[status(thm)],[f16611,f2942])).
% 8.49/1.47 fof(f16613,plain,(
% 8.49/1.47 ~spl0_209|spl0_887),
% 8.49/1.47 inference(contradiction_clause,[status(thm)],[f16612])).
% 8.49/1.47 fof(f16614,plain,(
% 8.49/1.47 $false),
% 8.49/1.47 inference(sat_refutation,[status(thm)],[f461,f463,f472,f1718,f1822,f3043,f4426,f4880,f6126,f7314,f16593,f16606,f16609,f16613])).
% 8.49/1.47 % SZS output end CNFRefutation for theBenchmark.p
% 8.49/1.47 % Elapsed time: 1.162393 seconds
% 8.49/1.47 % CPU time: 8.643727 seconds
% 8.49/1.47 % Memory used: 101.498 MB
%------------------------------------------------------------------------------