TSTP Solution File: NUM461+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM461+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 7.71s 1.35s
% Output : CNFRefutation 7.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM461+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 20:44:55 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 7.71/1.35 % Refutation found
% 7.71/1.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.71/1.35 % SZS output start CNFRefutation for theBenchmark
% 7.71/1.35 fof(f2,axiom,(
% 7.71/1.35 aNaturalNumber0(sz00) ),
% 7.71/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.71/1.35 fof(f4,axiom,(
% 7.71/1.35 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 7.71/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.71/1.35 fof(f6,axiom,(
% 7.71/1.35 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) )),
% 7.71/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.71/1.35 fof(f7,axiom,(
% 7.71/1.35 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) )),
% 7.71/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.71/1.35 fof(f8,axiom,(
% 7.71/1.35 (! [W0] :( aNaturalNumber0(W0)=> ( sdtpldt0(W0,sz00) = W0& W0 = sdtpldt0(sz00,W0) ) ) )),
% 7.71/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.71/1.35 fof(f14,axiom,(
% 7.71/1.35 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)| sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )=> W1 = W2 ) ) )),
% 7.71/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.71/1.35 fof(f24,hypothesis,(
% 7.71/1.35 ( aNaturalNumber0(xl)& aNaturalNumber0(xn) ) ),
% 7.71/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.71/1.35 fof(f25,hypothesis,(
% 7.71/1.35 ( xl != xn& (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xl,W0) = xn ))& sdtlseqdt0(xl,xn) ) ),
% 7.71/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.71/1.35 fof(f26,hypothesis,(
% 7.71/1.35 aNaturalNumber0(xm) ),
% 7.71/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.71/1.35 fof(f27,conjecture,(
% 7.71/1.35 ( sdtpldt0(xm,xl) != sdtpldt0(xm,xn)& ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(sdtpldt0(xm,xl),W0) = sdtpldt0(xm,xn) ))| sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) )& sdtpldt0(xl,xm) != sdtpldt0(xn,xm)& ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(sdtpldt0(xl,xm),W0) = sdtpldt0(xn,xm) ))| sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ) ) ),
% 7.71/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 7.71/1.35 fof(f28,negated_conjecture,(
% 7.71/1.35 ~(( sdtpldt0(xm,xl) != sdtpldt0(xm,xn)& ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(sdtpldt0(xm,xl),W0) = sdtpldt0(xm,xn) ))| sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)) )& sdtpldt0(xl,xm) != sdtpldt0(xn,xm)& ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(sdtpldt0(xl,xm),W0) = sdtpldt0(xn,xm) ))| sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)) ) ) )),
% 7.71/1.35 inference(negated_conjecture,[status(cth)],[f27])).
% 7.71/1.35 fof(f32,plain,(
% 7.71/1.35 aNaturalNumber0(sz00)),
% 7.71/1.35 inference(cnf_transformation,[status(esa)],[f2])).
% 7.71/1.35 fof(f35,plain,(
% 7.71/1.35 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 7.71/1.35 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 7.71/1.35 fof(f36,plain,(
% 7.71/1.35 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 7.71/1.35 inference(cnf_transformation,[status(esa)],[f35])).
% 7.71/1.35 fof(f39,plain,(
% 7.71/1.35 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|sdtpldt0(W0,W1)=sdtpldt0(W1,W0))),
% 7.71/1.35 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 7.71/1.35 fof(f40,plain,(
% 7.71/1.35 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtpldt0(X0,X1)=sdtpldt0(X1,X0))),
% 7.71/1.35 inference(cnf_transformation,[status(esa)],[f39])).
% 7.71/1.35 fof(f41,plain,(
% 7.71/1.35 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)))),
% 7.71/1.35 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 7.71/1.35 fof(f42,plain,(
% 7.71/1.35 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(sdtpldt0(X0,X1),X2)=sdtpldt0(X0,sdtpldt0(X1,X2)))),
% 7.71/1.35 inference(cnf_transformation,[status(esa)],[f41])).
% 7.71/1.35 fof(f43,plain,(
% 7.71/1.35 ![W0]: (~aNaturalNumber0(W0)|(sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)))),
% 7.71/1.35 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 7.71/1.35 fof(f44,plain,(
% 7.71/1.35 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(X0,sz00)=X0)),
% 7.71/1.35 inference(cnf_transformation,[status(esa)],[f43])).
% 7.71/1.35 fof(f45,plain,(
% 7.71/1.35 ![X0]: (~aNaturalNumber0(X0)|X0=sdtpldt0(sz00,X0))),
% 7.71/1.35 inference(cnf_transformation,[status(esa)],[f43])).
% 7.71/1.35 fof(f59,plain,(
% 7.71/1.36 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtpldt0(W0,W1)=sdtpldt0(W0,W2)&~sdtpldt0(W1,W0)=sdtpldt0(W2,W0))|W1=W2))),
% 7.71/1.36 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 7.71/1.36 fof(f60,plain,(
% 7.71/1.36 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X1)=sdtpldt0(X0,X2)|X1=X2)),
% 7.71/1.36 inference(cnf_transformation,[status(esa)],[f59])).
% 7.71/1.36 fof(f61,plain,(
% 7.71/1.36 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtpldt0(X1,X0)=sdtpldt0(X2,X0)|X1=X2)),
% 7.71/1.36 inference(cnf_transformation,[status(esa)],[f59])).
% 7.71/1.36 fof(f91,plain,(
% 7.71/1.36 aNaturalNumber0(xl)),
% 7.71/1.36 inference(cnf_transformation,[status(esa)],[f24])).
% 7.71/1.36 fof(f92,plain,(
% 7.71/1.36 aNaturalNumber0(xn)),
% 7.71/1.36 inference(cnf_transformation,[status(esa)],[f24])).
% 7.71/1.36 fof(f93,plain,(
% 7.71/1.36 (~xl=xn&(aNaturalNumber0(sk0_1)&sdtpldt0(xl,sk0_1)=xn))&sdtlseqdt0(xl,xn)),
% 7.71/1.36 inference(skolemization,[status(esa)],[f25])).
% 7.71/1.36 fof(f94,plain,(
% 7.71/1.36 ~xl=xn),
% 7.71/1.36 inference(cnf_transformation,[status(esa)],[f93])).
% 7.71/1.36 fof(f95,plain,(
% 7.71/1.36 aNaturalNumber0(sk0_1)),
% 7.71/1.36 inference(cnf_transformation,[status(esa)],[f93])).
% 7.71/1.36 fof(f96,plain,(
% 7.71/1.36 sdtpldt0(xl,sk0_1)=xn),
% 7.71/1.36 inference(cnf_transformation,[status(esa)],[f93])).
% 7.71/1.36 fof(f98,plain,(
% 7.71/1.36 aNaturalNumber0(xm)),
% 7.71/1.36 inference(cnf_transformation,[status(esa)],[f26])).
% 7.71/1.36 fof(f99,plain,(
% 7.71/1.36 (((sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(sdtpldt0(xm,xl),W0)=sdtpldt0(xm,xn)))&~sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))))|sdtpldt0(xl,xm)=sdtpldt0(xn,xm))|((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(sdtpldt0(xl,xm),W0)=sdtpldt0(xn,xm)))&~sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))))),
% 7.71/1.36 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 7.71/1.36 fof(f100,plain,(
% 7.71/1.36 pd0_0=>((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(sdtpldt0(xm,xl),W0)=sdtpldt0(xm,xn)))&~sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)))),
% 7.71/1.36 introduced(predicate_definition,[f99])).
% 7.71/1.36 fof(f101,plain,(
% 7.71/1.36 ((sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|pd0_0)|sdtpldt0(xl,xm)=sdtpldt0(xn,xm))|((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(sdtpldt0(xl,xm),W0)=sdtpldt0(xn,xm)))&~sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)))),
% 7.71/1.36 inference(formula_renaming,[status(thm)],[f99,f100])).
% 7.71/1.36 fof(f102,plain,(
% 7.71/1.36 ![X0]: (sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|pd0_0|sdtpldt0(xl,xm)=sdtpldt0(xn,xm)|~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(xl,xm),X0)=sdtpldt0(xn,xm))),
% 7.71/1.36 inference(cnf_transformation,[status(esa)],[f101])).
% 7.71/1.36 fof(f104,plain,(
% 7.71/1.36 ~pd0_0|((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(sdtpldt0(xm,xl),W0)=sdtpldt0(xm,xn)))&~sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)))),
% 7.71/1.36 inference(pre_NNF_transformation,[status(esa)],[f100])).
% 7.71/1.36 fof(f105,plain,(
% 7.71/1.36 ![X0]: (~pd0_0|~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(xm,xl),X0)=sdtpldt0(xm,xn))),
% 7.71/1.36 inference(cnf_transformation,[status(esa)],[f104])).
% 7.71/1.36 fof(f107,plain,(
% 7.71/1.36 spl0_0 <=> sdtpldt0(xm,xl)=sdtpldt0(xm,xn)),
% 7.71/1.36 introduced(split_symbol_definition)).
% 7.71/1.36 fof(f108,plain,(
% 7.71/1.36 sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|~spl0_0),
% 7.71/1.36 inference(component_clause,[status(thm)],[f107])).
% 7.71/1.36 fof(f109,plain,(
% 7.71/1.36 ~sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|spl0_0),
% 7.71/1.36 inference(component_clause,[status(thm)],[f107])).
% 7.71/1.36 fof(f110,plain,(
% 7.71/1.36 spl0_1 <=> pd0_0),
% 7.71/1.36 introduced(split_symbol_definition)).
% 7.71/1.36 fof(f113,plain,(
% 7.71/1.36 spl0_2 <=> sdtpldt0(xl,xm)=sdtpldt0(xn,xm)),
% 7.71/1.36 introduced(split_symbol_definition)).
% 7.71/1.36 fof(f116,plain,(
% 7.71/1.36 spl0_3 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(xl,xm),X0)=sdtpldt0(xn,xm)),
% 7.71/1.36 introduced(split_symbol_definition)).
% 7.71/1.36 fof(f117,plain,(
% 7.71/1.36 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(xl,xm),X0)=sdtpldt0(xn,xm)|~spl0_3)),
% 7.71/1.36 inference(component_clause,[status(thm)],[f116])).
% 7.71/1.36 fof(f119,plain,(
% 7.71/1.36 spl0_0|spl0_1|spl0_2|spl0_3),
% 7.71/1.36 inference(split_clause,[status(thm)],[f102,f107,f110,f113,f116])).
% 7.71/1.36 fof(f124,plain,(
% 7.71/1.36 spl0_5 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(xm,xl),X0)=sdtpldt0(xm,xn)),
% 7.71/1.36 introduced(split_symbol_definition)).
% 7.71/1.36 fof(f125,plain,(
% 7.71/1.36 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(xm,xl),X0)=sdtpldt0(xm,xn)|~spl0_5)),
% 7.71/1.36 inference(component_clause,[status(thm)],[f124])).
% 7.71/1.36 fof(f127,plain,(
% 7.71/1.36 ~spl0_1|spl0_5),
% 7.71/1.36 inference(split_clause,[status(thm)],[f105,f110,f124])).
% 7.71/1.36 fof(f143,plain,(
% 7.71/1.36 ![X0]: (~aNaturalNumber0(X0)|aNaturalNumber0(sdtpldt0(xl,X0)))),
% 7.71/1.36 inference(resolution,[status(thm)],[f36,f91])).
% 7.71/1.36 fof(f175,plain,(
% 7.71/1.36 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(X0,xn)=sdtpldt0(xn,X0))),
% 7.71/1.36 inference(resolution,[status(thm)],[f40,f92])).
% 7.71/1.36 fof(f176,plain,(
% 7.71/1.36 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(X0,xl)=sdtpldt0(xl,X0))),
% 7.71/1.36 inference(resolution,[status(thm)],[f40,f91])).
% 7.71/1.36 fof(f200,plain,(
% 7.71/1.36 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtpldt0(sdtpldt0(X0,X1),sk0_1)=sdtpldt0(X0,sdtpldt0(X1,sk0_1)))),
% 7.71/1.36 inference(resolution,[status(thm)],[f95,f42])).
% 7.71/1.36 fof(f203,plain,(
% 7.71/1.36 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(X0,sk0_1)=sdtpldt0(sk0_1,X0))),
% 7.71/1.36 inference(resolution,[status(thm)],[f95,f40])).
% 7.71/1.36 fof(f225,plain,(
% 7.71/1.36 sdtpldt0(xl,sz00)=xl),
% 7.71/1.36 inference(resolution,[status(thm)],[f44,f91])).
% 7.71/1.36 fof(f234,plain,(
% 7.71/1.36 xl=sdtpldt0(sz00,xl)),
% 7.71/1.36 inference(resolution,[status(thm)],[f45,f91])).
% 7.71/1.36 fof(f346,plain,(
% 7.71/1.36 aNaturalNumber0(sdtpldt0(xl,xm))),
% 7.71/1.36 inference(resolution,[status(thm)],[f143,f98])).
% 7.71/1.36 fof(f388,plain,(
% 7.71/1.36 spl0_7 <=> aNaturalNumber0(sz00)),
% 7.71/1.36 introduced(split_symbol_definition)).
% 7.71/1.36 fof(f390,plain,(
% 7.71/1.36 ~aNaturalNumber0(sz00)|spl0_7),
% 7.71/1.36 inference(component_clause,[status(thm)],[f388])).
% 7.71/1.36 fof(f391,plain,(
% 7.71/1.36 spl0_8 <=> aNaturalNumber0(xl)),
% 7.71/1.36 introduced(split_symbol_definition)).
% 7.71/1.36 fof(f393,plain,(
% 7.71/1.36 ~aNaturalNumber0(xl)|spl0_8),
% 7.71/1.36 inference(component_clause,[status(thm)],[f391])).
% 7.71/1.36 fof(f399,plain,(
% 7.71/1.36 spl0_10 <=> aNaturalNumber0(xn)),
% 7.71/1.36 introduced(split_symbol_definition)).
% 7.71/1.36 fof(f401,plain,(
% 7.71/1.36 ~aNaturalNumber0(xn)|spl0_10),
% 7.71/1.36 inference(component_clause,[status(thm)],[f399])).
% 7.71/1.36 fof(f407,plain,(
% 7.71/1.36 spl0_12 <=> aNaturalNumber0(xm)),
% 7.71/1.36 introduced(split_symbol_definition)).
% 7.71/1.36 fof(f409,plain,(
% 7.71/1.36 ~aNaturalNumber0(xm)|spl0_12),
% 7.71/1.36 inference(component_clause,[status(thm)],[f407])).
% 7.71/1.36 fof(f415,plain,(
% 7.71/1.36 spl0_14 <=> aNaturalNumber0(sk0_1)),
% 7.71/1.36 introduced(split_symbol_definition)).
% 7.71/1.36 fof(f417,plain,(
% 7.71/1.36 ~aNaturalNumber0(sk0_1)|spl0_14),
% 7.71/1.36 inference(component_clause,[status(thm)],[f415])).
% 7.71/1.36 fof(f443,plain,(
% 7.71/1.36 spl0_20 <=> ~aNaturalNumber0(X0)|~xn=sdtpldt0(xl,X0)|sk0_1=X0),
% 7.71/1.36 introduced(split_symbol_definition)).
% 7.71/1.36 fof(f444,plain,(
% 7.71/1.36 ![X0]: (~aNaturalNumber0(X0)|~xn=sdtpldt0(xl,X0)|sk0_1=X0|~spl0_20)),
% 7.71/1.36 inference(component_clause,[status(thm)],[f443])).
% 7.71/1.36 fof(f446,plain,(
% 7.71/1.36 ![X0]: (~aNaturalNumber0(xl)|~aNaturalNumber0(sk0_1)|~aNaturalNumber0(X0)|~xn=sdtpldt0(xl,X0)|sk0_1=X0)),
% 7.71/1.36 inference(paramodulation,[status(thm)],[f96,f60])).
% 7.71/1.36 fof(f447,plain,(
% 7.71/1.36 ~spl0_8|~spl0_14|spl0_20),
% 7.71/1.36 inference(split_clause,[status(thm)],[f446,f391,f415,f443])).
% 7.71/1.36 fof(f474,plain,(
% 7.71/1.36 $false|spl0_12),
% 7.71/1.36 inference(forward_subsumption_resolution,[status(thm)],[f409,f98])).
% 7.71/1.36 fof(f475,plain,(
% 7.71/1.36 spl0_12),
% 7.71/1.36 inference(contradiction_clause,[status(thm)],[f474])).
% 7.71/1.36 fof(f476,plain,(
% 7.71/1.36 $false|spl0_10),
% 7.71/1.36 inference(forward_subsumption_resolution,[status(thm)],[f401,f92])).
% 7.71/1.36 fof(f477,plain,(
% 7.71/1.36 spl0_10),
% 7.71/1.36 inference(contradiction_clause,[status(thm)],[f476])).
% 7.71/1.36 fof(f478,plain,(
% 7.71/1.36 $false|spl0_14),
% 7.71/1.36 inference(forward_subsumption_resolution,[status(thm)],[f417,f95])).
% 7.71/1.36 fof(f479,plain,(
% 7.71/1.36 spl0_14),
% 7.71/1.36 inference(contradiction_clause,[status(thm)],[f478])).
% 7.71/1.36 fof(f482,plain,(
% 7.71/1.36 $false|spl0_8),
% 7.71/1.36 inference(forward_subsumption_resolution,[status(thm)],[f393,f91])).
% 7.71/1.36 fof(f483,plain,(
% 7.71/1.36 spl0_8),
% 7.71/1.36 inference(contradiction_clause,[status(thm)],[f482])).
% 7.71/1.36 fof(f484,plain,(
% 7.71/1.36 $false|spl0_7),
% 7.71/1.36 inference(forward_subsumption_resolution,[status(thm)],[f390,f32])).
% 7.71/1.36 fof(f485,plain,(
% 7.71/1.36 spl0_7),
% 7.71/1.36 inference(contradiction_clause,[status(thm)],[f484])).
% 7.71/1.36 fof(f492,plain,(
% 7.71/1.36 spl0_24 <=> xn=xl),
% 7.71/1.36 introduced(split_symbol_definition)).
% 7.71/1.36 fof(f495,plain,(
% 7.71/1.36 spl0_25 <=> sk0_1=sz00),
% 7.71/1.36 introduced(split_symbol_definition)).
% 7.71/1.36 fof(f496,plain,(
% 7.71/1.36 sk0_1=sz00|~spl0_25),
% 7.71/1.36 inference(component_clause,[status(thm)],[f495])).
% 7.71/1.36 fof(f498,plain,(
% 7.71/1.36 ~aNaturalNumber0(sz00)|~xn=xl|sk0_1=sz00|~spl0_20),
% 7.71/1.36 inference(paramodulation,[status(thm)],[f225,f444])).
% 7.71/1.36 fof(f499,plain,(
% 7.71/1.36 ~spl0_7|~spl0_24|spl0_25|~spl0_20),
% 7.71/1.36 inference(split_clause,[status(thm)],[f498,f388,f492,f495,f443])).
% 7.71/1.36 fof(f760,plain,(
% 7.71/1.36 sdtpldt0(sdtpldt0(xl,xm),sk0_1)=sdtpldt0(sk0_1,sdtpldt0(xl,xm))),
% 7.71/1.36 inference(resolution,[status(thm)],[f203,f346])).
% 7.71/1.36 fof(f763,plain,(
% 7.71/1.36 sdtpldt0(xl,sk0_1)=sdtpldt0(sk0_1,xl)),
% 7.71/1.36 inference(resolution,[status(thm)],[f203,f91])).
% 7.71/1.36 fof(f764,plain,(
% 7.71/1.36 xn=sdtpldt0(sk0_1,xl)),
% 7.71/1.36 inference(forward_demodulation,[status(thm)],[f96,f763])).
% 7.71/1.36 fof(f792,plain,(
% 7.71/1.36 sdtpldt0(xm,xl)=sdtpldt0(xl,xm)),
% 7.71/1.36 inference(resolution,[status(thm)],[f176,f98])).
% 7.71/1.36 fof(f822,plain,(
% 7.71/1.36 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(xl,xm),X0)=sdtpldt0(xm,xn)|~spl0_5)),
% 7.71/1.36 inference(backward_demodulation,[status(thm)],[f792,f125])).
% 7.71/1.36 fof(f823,plain,(
% 7.71/1.36 ~sdtpldt0(xl,xm)=sdtpldt0(xm,xn)|spl0_0),
% 7.71/1.36 inference(backward_demodulation,[status(thm)],[f792,f109])).
% 7.71/1.36 fof(f1109,plain,(
% 7.71/1.36 sdtpldt0(xm,xn)=sdtpldt0(xn,xm)),
% 7.71/1.36 inference(resolution,[status(thm)],[f175,f98])).
% 7.71/1.36 fof(f2229,plain,(
% 7.71/1.36 spl0_202 <=> sdtpldt0(sk0_1,sdtpldt0(xl,xm))=sdtpldt0(xn,xm)),
% 7.71/1.36 introduced(split_symbol_definition)).
% 7.71/1.36 fof(f2231,plain,(
% 7.71/1.36 ~sdtpldt0(sk0_1,sdtpldt0(xl,xm))=sdtpldt0(xn,xm)|spl0_202),
% 7.71/1.36 inference(component_clause,[status(thm)],[f2229])).
% 7.71/1.36 fof(f2232,plain,(
% 7.71/1.36 ~aNaturalNumber0(sk0_1)|~sdtpldt0(sk0_1,sdtpldt0(xl,xm))=sdtpldt0(xn,xm)|~spl0_3),
% 7.71/1.36 inference(paramodulation,[status(thm)],[f760,f117])).
% 7.71/1.36 fof(f2233,plain,(
% 7.71/1.36 ~spl0_14|~spl0_202|~spl0_3),
% 7.71/1.36 inference(split_clause,[status(thm)],[f2232,f415,f2229,f116])).
% 7.71/1.36 fof(f2253,plain,(
% 7.71/1.36 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(xl,xm),X0)=sdtpldt0(xn,xm)|~spl0_5)),
% 7.71/1.36 inference(backward_demodulation,[status(thm)],[f1109,f822])).
% 7.71/1.36 fof(f2611,plain,(
% 7.71/1.36 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(sdtpldt0(X0,xl),sk0_1)=sdtpldt0(X0,sdtpldt0(xl,sk0_1)))),
% 7.71/1.36 inference(resolution,[status(thm)],[f200,f91])).
% 7.71/1.36 fof(f2612,plain,(
% 7.71/1.36 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(sdtpldt0(X0,xl),sk0_1)=sdtpldt0(X0,xn))),
% 7.71/1.36 inference(forward_demodulation,[status(thm)],[f96,f2611])).
% 7.71/1.36 fof(f2672,plain,(
% 7.71/1.36 sdtpldt0(sdtpldt0(xm,xl),sk0_1)=sdtpldt0(xm,xn)),
% 7.71/1.36 inference(resolution,[status(thm)],[f2612,f98])).
% 7.71/1.36 fof(f2673,plain,(
% 7.71/1.36 sdtpldt0(sdtpldt0(xl,xm),sk0_1)=sdtpldt0(xm,xn)),
% 7.71/1.36 inference(forward_demodulation,[status(thm)],[f792,f2672])).
% 7.71/1.36 fof(f2674,plain,(
% 7.71/1.36 sdtpldt0(sk0_1,sdtpldt0(xl,xm))=sdtpldt0(xm,xn)),
% 7.71/1.36 inference(forward_demodulation,[status(thm)],[f760,f2673])).
% 7.71/1.36 fof(f2675,plain,(
% 7.71/1.36 sdtpldt0(sk0_1,sdtpldt0(xl,xm))=sdtpldt0(xn,xm)),
% 7.71/1.36 inference(forward_demodulation,[status(thm)],[f1109,f2674])).
% 7.71/1.36 fof(f2676,plain,(
% 7.71/1.36 $false|spl0_202),
% 7.71/1.36 inference(forward_subsumption_resolution,[status(thm)],[f2675,f2231])).
% 7.71/1.36 fof(f2677,plain,(
% 7.71/1.36 spl0_202),
% 7.71/1.36 inference(contradiction_clause,[status(thm)],[f2676])).
% 7.71/1.36 fof(f2688,plain,(
% 7.71/1.36 ~sdtpldt0(xl,xm)=sdtpldt0(xn,xm)|spl0_0),
% 7.71/1.36 inference(backward_demodulation,[status(thm)],[f1109,f823])).
% 7.71/1.36 fof(f2689,plain,(
% 7.71/1.36 ~spl0_2|spl0_0),
% 7.71/1.36 inference(split_clause,[status(thm)],[f2688,f113,f107])).
% 7.71/1.36 fof(f2800,plain,(
% 7.71/1.36 sdtpldt0(xl,xm)=sdtpldt0(xm,xn)|~spl0_0),
% 7.71/1.36 inference(forward_demodulation,[status(thm)],[f792,f108])).
% 7.71/1.36 fof(f2921,plain,(
% 7.71/1.36 spl0_3|~spl0_5),
% 7.71/1.36 inference(split_clause,[status(thm)],[f2253,f116,f124])).
% 7.71/1.36 fof(f2928,plain,(
% 7.71/1.36 sdtpldt0(xl,xm)=sdtpldt0(xn,xm)|~spl0_0),
% 7.71/1.36 inference(forward_demodulation,[status(thm)],[f1109,f2800])).
% 7.71/1.36 fof(f3134,plain,(
% 7.71/1.36 ~aNaturalNumber0(xm)|~aNaturalNumber0(xl)|~aNaturalNumber0(xn)|xl=xn|~spl0_0),
% 7.71/1.36 inference(resolution,[status(thm)],[f2928,f61])).
% 7.71/1.36 fof(f3135,plain,(
% 7.71/1.36 ~spl0_12|~spl0_8|~spl0_10|spl0_24|~spl0_0),
% 7.71/1.36 inference(split_clause,[status(thm)],[f3134,f407,f391,f399,f492,f107])).
% 7.71/1.36 fof(f4233,plain,(
% 7.71/1.36 xn=sdtpldt0(sz00,xl)|~spl0_25),
% 7.71/1.36 inference(forward_demodulation,[status(thm)],[f496,f764])).
% 7.71/1.36 fof(f4235,plain,(
% 7.71/1.36 xl=xn|~spl0_25),
% 7.71/1.36 inference(forward_demodulation,[status(thm)],[f4233,f234])).
% 7.71/1.36 fof(f4239,plain,(
% 7.71/1.36 ~xl=xl|~spl0_25),
% 7.71/1.36 inference(forward_demodulation,[status(thm)],[f4235,f94])).
% 7.71/1.36 fof(f4240,plain,(
% 7.71/1.36 $false|~spl0_25),
% 7.71/1.36 inference(trivial_equality_resolution,[status(esa)],[f4239])).
% 7.71/1.36 fof(f4241,plain,(
% 7.71/1.36 ~spl0_25),
% 7.71/1.36 inference(contradiction_clause,[status(thm)],[f4240])).
% 7.71/1.36 fof(f4242,plain,(
% 7.71/1.36 $false),
% 7.71/1.36 inference(sat_refutation,[status(thm)],[f119,f127,f447,f475,f477,f479,f483,f485,f499,f2233,f2677,f2689,f2921,f3135,f4241])).
% 7.71/1.36 % SZS output end CNFRefutation for theBenchmark.p
% 7.71/1.38 % Elapsed time: 1.018386 seconds
% 7.71/1.38 % CPU time: 7.962339 seconds
% 7.71/1.38 % Total memory used: 137.975 MB
% 7.71/1.38 % Net memory used: 133.497 MB
%------------------------------------------------------------------------------