TSTP Solution File: NUM462+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM462+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 : Tue Apr 30 20:34:46 EDT 2024
% Result : Theorem 127.99s 16.48s
% Output : CNFRefutation 128.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM462+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n017.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 : Mon Apr 29 20:28:33 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 127.99/16.48 % Refutation found
% 127.99/16.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 127.99/16.48 % SZS output start CNFRefutation for theBenchmark
% 127.99/16.48 fof(f5,axiom,(
% 127.99/16.48 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 127.99/16.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 127.99/16.48 fof(f9,axiom,(
% 127.99/16.48 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) )),
% 127.99/16.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 127.99/16.48 fof(f13,axiom,(
% 127.99/16.48 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))& sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) )),
% 127.99/16.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 127.99/16.48 fof(f15,axiom,(
% 127.99/16.48 (! [W0] :( aNaturalNumber0(W0)=> ( W0 != sz00=> (! [W1,W2] :( ( aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtasdt0(W0,W1) = sdtasdt0(W0,W2)| sdtasdt0(W1,W0) = sdtasdt0(W2,W0) )=> W1 = W2 ) ) )) ) )),
% 127.99/16.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 127.99/16.48 fof(f18,definition,(
% 127.99/16.48 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) )) ) )),
% 127.99/16.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 127.99/16.48 fof(f25,hypothesis,(
% 127.99/16.48 ( aNaturalNumber0(xm)& aNaturalNumber0(xl)& aNaturalNumber0(xn) ) ),
% 127.99/16.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 127.99/16.48 fof(f26,hypothesis,(
% 127.99/16.48 ( xm != sz00& xl != xn& (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xl,W0) = xn ))& sdtlseqdt0(xl,xn) ) ),
% 127.99/16.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 127.99/16.48 fof(f27,conjecture,(
% 127.99/16.48 ( sdtasdt0(xm,xl) != sdtasdt0(xm,xn)& ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(sdtasdt0(xm,xl),W0) = sdtasdt0(xm,xn) ))| sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)) )& sdtasdt0(xl,xm) != sdtasdt0(xn,xm)& ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(sdtasdt0(xl,xm),W0) = sdtasdt0(xn,xm) ))| sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)) ) ) ),
% 127.99/16.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 127.99/16.48 fof(f28,negated_conjecture,(
% 127.99/16.48 ~(( sdtasdt0(xm,xl) != sdtasdt0(xm,xn)& ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(sdtasdt0(xm,xl),W0) = sdtasdt0(xm,xn) ))| sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)) )& sdtasdt0(xl,xm) != sdtasdt0(xn,xm)& ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(sdtasdt0(xl,xm),W0) = sdtasdt0(xn,xm) ))| sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)) ) ) )),
% 127.99/16.48 inference(negated_conjecture,[status(cth)],[f27])).
% 127.99/16.48 fof(f37,plain,(
% 127.99/16.48 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 127.99/16.48 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 127.99/16.48 fof(f38,plain,(
% 127.99/16.48 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 127.99/16.48 inference(cnf_transformation,[status(esa)],[f37])).
% 127.99/16.48 fof(f46,plain,(
% 127.99/16.48 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|sdtasdt0(W0,W1)=sdtasdt0(W1,W0))),
% 127.99/16.48 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 127.99/16.48 fof(f47,plain,(
% 127.99/16.48 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 127.99/16.48 inference(cnf_transformation,[status(esa)],[f46])).
% 127.99/16.48 fof(f56,plain,(
% 127.99/16.48 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|(sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0))))),
% 127.99/16.48 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 127.99/16.48 fof(f57,plain,(
% 127.99/16.48 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtasdt0(X0,sdtpldt0(X1,X2))=sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 127.99/16.48 inference(cnf_transformation,[status(esa)],[f56])).
% 127.99/16.48 fof(f58,plain,(
% 127.99/16.48 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtasdt0(sdtpldt0(X1,X2),X0)=sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)))),
% 127.99/16.48 inference(cnf_transformation,[status(esa)],[f56])).
% 127.99/16.48 fof(f62,plain,(
% 127.99/16.48 ![W0]: (~aNaturalNumber0(W0)|(W0=sz00|(![W1,W2]: ((~aNaturalNumber0(W1)|~aNaturalNumber0(W2))|((~sdtasdt0(W0,W1)=sdtasdt0(W0,W2)&~sdtasdt0(W1,W0)=sdtasdt0(W2,W0))|W1=W2)))))),
% 127.99/16.50 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 127.99/16.50 fof(f63,plain,(
% 127.99/16.50 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtasdt0(X0,X1)=sdtasdt0(X0,X2)|X1=X2)),
% 127.99/16.50 inference(cnf_transformation,[status(esa)],[f62])).
% 127.99/16.50 fof(f70,plain,(
% 127.99/16.50 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))))),
% 127.99/16.50 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 127.99/16.50 fof(f71,plain,(
% 127.99/16.50 ![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)))))),
% 127.99/16.50 inference(NNF_transformation,[status(esa)],[f70])).
% 127.99/16.50 fof(f72,plain,(
% 127.99/16.50 ![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)))))),
% 127.99/16.50 inference(skolemization,[status(esa)],[f71])).
% 127.99/16.50 fof(f75,plain,(
% 127.99/16.50 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X2)=X1)),
% 127.99/16.50 inference(cnf_transformation,[status(esa)],[f72])).
% 127.99/16.50 fof(f96,plain,(
% 127.99/16.50 aNaturalNumber0(xm)),
% 127.99/16.50 inference(cnf_transformation,[status(esa)],[f25])).
% 127.99/16.50 fof(f97,plain,(
% 127.99/16.50 aNaturalNumber0(xl)),
% 127.99/16.50 inference(cnf_transformation,[status(esa)],[f25])).
% 127.99/16.50 fof(f98,plain,(
% 127.99/16.50 aNaturalNumber0(xn)),
% 127.99/16.50 inference(cnf_transformation,[status(esa)],[f25])).
% 127.99/16.50 fof(f99,plain,(
% 127.99/16.50 ((~xm=sz00&~xl=xn)&(aNaturalNumber0(sk0_1)&sdtpldt0(xl,sk0_1)=xn))&sdtlseqdt0(xl,xn)),
% 127.99/16.50 inference(skolemization,[status(esa)],[f26])).
% 127.99/16.50 fof(f100,plain,(
% 127.99/16.50 ~xm=sz00),
% 127.99/16.50 inference(cnf_transformation,[status(esa)],[f99])).
% 127.99/16.50 fof(f101,plain,(
% 127.99/16.50 ~xl=xn),
% 127.99/16.50 inference(cnf_transformation,[status(esa)],[f99])).
% 127.99/16.50 fof(f102,plain,(
% 127.99/16.50 aNaturalNumber0(sk0_1)),
% 127.99/16.50 inference(cnf_transformation,[status(esa)],[f99])).
% 127.99/16.50 fof(f103,plain,(
% 127.99/16.50 sdtpldt0(xl,sk0_1)=xn),
% 127.99/16.50 inference(cnf_transformation,[status(esa)],[f99])).
% 127.99/16.50 fof(f105,plain,(
% 127.99/16.50 (((sdtasdt0(xm,xl)=sdtasdt0(xm,xn)|((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(sdtasdt0(xm,xl),W0)=sdtasdt0(xm,xn)))&~sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))))|sdtasdt0(xl,xm)=sdtasdt0(xn,xm))|((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(sdtasdt0(xl,xm),W0)=sdtasdt0(xn,xm)))&~sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))))),
% 127.99/16.50 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 127.99/16.50 fof(f106,plain,(
% 127.99/16.50 pd0_0=>((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(sdtasdt0(xm,xl),W0)=sdtasdt0(xm,xn)))&~sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)))),
% 127.99/16.50 introduced(predicate_definition,[f105])).
% 127.99/16.50 fof(f107,plain,(
% 127.99/16.50 ((sdtasdt0(xm,xl)=sdtasdt0(xm,xn)|pd0_0)|sdtasdt0(xl,xm)=sdtasdt0(xn,xm))|((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(sdtasdt0(xl,xm),W0)=sdtasdt0(xn,xm)))&~sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm)))),
% 127.99/16.50 inference(formula_renaming,[status(thm)],[f105,f106])).
% 127.99/16.50 fof(f109,plain,(
% 127.99/16.50 sdtasdt0(xm,xl)=sdtasdt0(xm,xn)|pd0_0|sdtasdt0(xl,xm)=sdtasdt0(xn,xm)|~sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))),
% 127.99/16.50 inference(cnf_transformation,[status(esa)],[f107])).
% 127.99/16.50 fof(f110,plain,(
% 127.99/16.50 ~pd0_0|((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(sdtasdt0(xm,xl),W0)=sdtasdt0(xm,xn)))&~sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn)))),
% 127.99/16.50 inference(pre_NNF_transformation,[status(esa)],[f106])).
% 127.99/16.50 fof(f112,plain,(
% 127.99/16.50 ~pd0_0|~sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))),
% 127.99/16.50 inference(cnf_transformation,[status(esa)],[f110])).
% 127.99/16.50 fof(f113,plain,(
% 127.99/16.50 spl0_0 <=> sdtasdt0(xm,xl)=sdtasdt0(xm,xn)),
% 127.99/16.50 introduced(split_symbol_definition)).
% 127.99/16.50 fof(f114,plain,(
% 127.99/16.50 sdtasdt0(xm,xl)=sdtasdt0(xm,xn)|~spl0_0),
% 127.99/16.50 inference(component_clause,[status(thm)],[f113])).
% 127.99/16.50 fof(f116,plain,(
% 127.99/16.50 spl0_1 <=> pd0_0),
% 127.99/16.50 introduced(split_symbol_definition)).
% 127.99/16.50 fof(f119,plain,(
% 127.99/16.50 spl0_2 <=> sdtasdt0(xl,xm)=sdtasdt0(xn,xm)),
% 127.99/16.50 introduced(split_symbol_definition)).
% 127.99/16.50 fof(f120,plain,(
% 127.99/16.50 sdtasdt0(xl,xm)=sdtasdt0(xn,xm)|~spl0_2),
% 127.99/16.50 inference(component_clause,[status(thm)],[f119])).
% 127.99/16.50 fof(f126,plain,(
% 127.99/16.50 spl0_4 <=> sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))),
% 127.99/16.50 introduced(split_symbol_definition)).
% 127.99/16.50 fof(f128,plain,(
% 127.99/16.50 ~sdtlseqdt0(sdtasdt0(xl,xm),sdtasdt0(xn,xm))|spl0_4),
% 127.99/16.50 inference(component_clause,[status(thm)],[f126])).
% 127.99/16.50 fof(f129,plain,(
% 127.99/16.50 spl0_0|spl0_1|spl0_2|~spl0_4),
% 127.99/16.50 inference(split_clause,[status(thm)],[f109,f113,f116,f119,f126])).
% 127.99/16.50 fof(f134,plain,(
% 127.99/16.50 spl0_6 <=> sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))),
% 127.99/16.50 introduced(split_symbol_definition)).
% 127.99/16.50 fof(f136,plain,(
% 127.99/16.50 ~sdtlseqdt0(sdtasdt0(xm,xl),sdtasdt0(xm,xn))|spl0_6),
% 127.99/16.50 inference(component_clause,[status(thm)],[f134])).
% 127.99/16.50 fof(f137,plain,(
% 127.99/16.50 ~spl0_1|~spl0_6),
% 127.99/16.50 inference(split_clause,[status(thm)],[f112,f116,f134])).
% 127.99/16.50 fof(f142,plain,(
% 127.99/16.50 spl0_7 <=> aNaturalNumber0(xl)),
% 127.99/16.50 introduced(split_symbol_definition)).
% 127.99/16.50 fof(f144,plain,(
% 127.99/16.50 ~aNaturalNumber0(xl)|spl0_7),
% 127.99/16.50 inference(component_clause,[status(thm)],[f142])).
% 127.99/16.50 fof(f145,plain,(
% 127.99/16.50 spl0_8 <=> aNaturalNumber0(xm)),
% 127.99/16.50 introduced(split_symbol_definition)).
% 127.99/16.50 fof(f147,plain,(
% 127.99/16.50 ~aNaturalNumber0(xm)|spl0_8),
% 127.99/16.50 inference(component_clause,[status(thm)],[f145])).
% 127.99/16.50 fof(f150,plain,(
% 127.99/16.50 spl0_9 <=> aNaturalNumber0(xn)),
% 127.99/16.50 introduced(split_symbol_definition)).
% 127.99/16.50 fof(f152,plain,(
% 127.99/16.50 ~aNaturalNumber0(xn)|spl0_9),
% 127.99/16.50 inference(component_clause,[status(thm)],[f150])).
% 127.99/16.50 fof(f158,plain,(
% 127.99/16.50 $false|spl0_9),
% 127.99/16.50 inference(forward_subsumption_resolution,[status(thm)],[f152,f98])).
% 127.99/16.50 fof(f159,plain,(
% 127.99/16.50 spl0_9),
% 127.99/16.50 inference(contradiction_clause,[status(thm)],[f158])).
% 127.99/16.50 fof(f160,plain,(
% 127.99/16.50 $false|spl0_7),
% 127.99/16.50 inference(forward_subsumption_resolution,[status(thm)],[f144,f97])).
% 127.99/16.50 fof(f161,plain,(
% 127.99/16.50 spl0_7),
% 127.99/16.50 inference(contradiction_clause,[status(thm)],[f160])).
% 127.99/16.50 fof(f162,plain,(
% 127.99/16.50 $false|spl0_8),
% 127.99/16.50 inference(forward_subsumption_resolution,[status(thm)],[f147,f96])).
% 127.99/16.50 fof(f163,plain,(
% 127.99/16.50 spl0_8),
% 127.99/16.50 inference(contradiction_clause,[status(thm)],[f162])).
% 127.99/16.50 fof(f174,plain,(
% 127.99/16.50 spl0_12 <=> aNaturalNumber0(sdtasdt0(xm,xn))),
% 127.99/16.50 introduced(split_symbol_definition)).
% 127.99/16.50 fof(f176,plain,(
% 127.99/16.50 ~aNaturalNumber0(sdtasdt0(xm,xn))|spl0_12),
% 127.99/16.50 inference(component_clause,[status(thm)],[f174])).
% 127.99/16.50 fof(f196,plain,(
% 127.99/16.50 spl0_17 <=> xn=xl),
% 127.99/16.50 introduced(split_symbol_definition)).
% 127.99/16.50 fof(f197,plain,(
% 127.99/16.50 xn=xl|~spl0_17),
% 127.99/16.50 inference(component_clause,[status(thm)],[f196])).
% 127.99/16.50 fof(f201,plain,(
% 127.99/16.50 ~aNaturalNumber0(xm)|~aNaturalNumber0(xn)|spl0_12),
% 127.99/16.50 inference(resolution,[status(thm)],[f176,f38])).
% 127.99/16.50 fof(f202,plain,(
% 127.99/16.50 ~spl0_8|~spl0_9|spl0_12),
% 127.99/16.50 inference(split_clause,[status(thm)],[f201,f145,f150,f174])).
% 127.99/16.50 fof(f1275,plain,(
% 127.99/16.50 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtasdt0(X0,X1))|~aNaturalNumber0(sdtasdt0(X0,sdtpldt0(X1,X2)))|sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X1,X2)))|~aNaturalNumber0(sdtasdt0(X0,X2)))),
% 127.99/16.50 inference(resolution,[status(thm)],[f57,f75])).
% 127.99/16.50 fof(f1276,plain,(
% 127.99/16.50 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtasdt0(X0,sdtpldt0(X1,X2)))|sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X1,X2)))|~aNaturalNumber0(sdtasdt0(X0,X2)))),
% 127.99/16.50 inference(forward_subsumption_resolution,[status(thm)],[f1275,f38])).
% 127.99/16.50 fof(f1277,plain,(
% 127.99/16.50 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtasdt0(X1,X0))|~aNaturalNumber0(sdtasdt0(sdtpldt0(X1,X2),X0))|sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(X1,X2),X0))|~aNaturalNumber0(sdtasdt0(X2,X0)))),
% 127.99/16.50 inference(resolution,[status(thm)],[f58,f75])).
% 127.99/16.50 fof(f1278,plain,(
% 127.99/16.50 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtasdt0(sdtpldt0(X1,X2),X0))|sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(X1,X2),X0))|~aNaturalNumber0(sdtasdt0(X2,X0)))),
% 127.99/16.50 inference(forward_subsumption_resolution,[status(thm)],[f1277,f38])).
% 127.99/16.50 fof(f1288,plain,(
% 127.99/16.50 spl0_150 <=> aNaturalNumber0(sk0_1)),
% 127.99/16.50 introduced(split_symbol_definition)).
% 127.99/16.50 fof(f1290,plain,(
% 127.99/16.50 ~aNaturalNumber0(sk0_1)|spl0_150),
% 127.99/16.50 inference(component_clause,[status(thm)],[f1288])).
% 127.99/16.50 fof(f1298,plain,(
% 127.99/16.50 $false|spl0_150),
% 127.99/16.50 inference(forward_subsumption_resolution,[status(thm)],[f1290,f102])).
% 127.99/16.50 fof(f1299,plain,(
% 127.99/16.50 spl0_150),
% 127.99/16.50 inference(contradiction_clause,[status(thm)],[f1298])).
% 127.99/16.50 fof(f2024,plain,(
% 127.99/16.50 spl0_225 <=> xm=sz00),
% 127.99/16.50 introduced(split_symbol_definition)).
% 127.99/16.50 fof(f2025,plain,(
% 127.99/16.50 xm=sz00|~spl0_225),
% 127.99/16.50 inference(component_clause,[status(thm)],[f2024])).
% 127.99/16.50 fof(f2027,plain,(
% 127.99/16.50 ~aNaturalNumber0(xm)|xm=sz00|~aNaturalNumber0(xl)|~aNaturalNumber0(xn)|xl=xn|~spl0_0),
% 127.99/16.50 inference(resolution,[status(thm)],[f114,f63])).
% 127.99/16.50 fof(f2028,plain,(
% 127.99/16.50 ~spl0_8|spl0_225|~spl0_7|~spl0_9|spl0_17|~spl0_0),
% 127.99/16.50 inference(split_clause,[status(thm)],[f2027,f145,f2024,f142,f150,f196,f113])).
% 127.99/16.50 fof(f2047,plain,(
% 127.99/16.50 $false|~spl0_225),
% 127.99/16.50 inference(forward_subsumption_resolution,[status(thm)],[f2025,f100])).
% 127.99/16.50 fof(f2048,plain,(
% 127.99/16.50 ~spl0_225),
% 127.99/16.50 inference(contradiction_clause,[status(thm)],[f2047])).
% 127.99/16.50 fof(f2164,plain,(
% 127.99/16.50 spl0_233 <=> aNaturalNumber0(sdtasdt0(xn,xm))),
% 127.99/16.50 introduced(split_symbol_definition)).
% 127.99/16.50 fof(f2166,plain,(
% 127.99/16.50 ~aNaturalNumber0(sdtasdt0(xn,xm))|spl0_233),
% 127.99/16.50 inference(component_clause,[status(thm)],[f2164])).
% 127.99/16.50 fof(f2179,plain,(
% 127.99/16.50 ~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|spl0_233),
% 127.99/16.50 inference(resolution,[status(thm)],[f2166,f38])).
% 127.99/16.50 fof(f2180,plain,(
% 127.99/16.50 ~spl0_9|~spl0_8|spl0_233),
% 127.99/16.50 inference(split_clause,[status(thm)],[f2179,f150,f145,f2164])).
% 127.99/16.50 fof(f4239,plain,(
% 127.99/16.50 spl0_384 <=> sdtasdt0(xm,xn)=sdtasdt0(xl,xm)),
% 127.99/16.50 introduced(split_symbol_definition)).
% 127.99/16.50 fof(f4240,plain,(
% 127.99/16.50 sdtasdt0(xm,xn)=sdtasdt0(xl,xm)|~spl0_384),
% 127.99/16.50 inference(component_clause,[status(thm)],[f4239])).
% 127.99/16.50 fof(f4242,plain,(
% 127.99/16.50 ~aNaturalNumber0(xm)|~aNaturalNumber0(xn)|sdtasdt0(xm,xn)=sdtasdt0(xl,xm)|~spl0_2),
% 127.99/16.50 inference(paramodulation,[status(thm)],[f120,f47])).
% 127.99/16.50 fof(f4243,plain,(
% 127.99/16.50 ~spl0_8|~spl0_9|spl0_384|~spl0_2),
% 127.99/16.50 inference(split_clause,[status(thm)],[f4242,f145,f150,f4239,f119])).
% 127.99/16.50 fof(f5033,plain,(
% 127.99/16.50 $false|~spl0_17),
% 127.99/16.50 inference(forward_subsumption_resolution,[status(thm)],[f197,f101])).
% 127.99/16.50 fof(f5034,plain,(
% 127.99/16.50 ~spl0_17),
% 127.99/16.50 inference(contradiction_clause,[status(thm)],[f5033])).
% 127.99/16.50 fof(f6180,plain,(
% 127.99/16.50 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtasdt0(X0,sdtpldt0(X1,X2)))|sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,sdtpldt0(X1,X2))))),
% 127.99/16.50 inference(forward_subsumption_resolution,[status(thm)],[f1276,f38])).
% 127.99/16.50 fof(f6190,plain,(
% 127.99/16.50 spl0_576 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,sdtpldt0(xl,sk0_1)))|sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(X0,xn))),
% 127.99/16.50 introduced(split_symbol_definition)).
% 127.99/16.50 fof(f6191,plain,(
% 127.99/16.50 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,sdtpldt0(xl,sk0_1)))|sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(X0,xn))|~spl0_576)),
% 127.99/16.50 inference(component_clause,[status(thm)],[f6190])).
% 127.99/16.50 fof(f6193,plain,(
% 127.99/16.50 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xl)|~aNaturalNumber0(sk0_1)|~aNaturalNumber0(sdtasdt0(X0,sdtpldt0(xl,sk0_1)))|sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(X0,xn)))),
% 127.99/16.50 inference(paramodulation,[status(thm)],[f103,f6180])).
% 127.99/16.50 fof(f6194,plain,(
% 127.99/16.50 spl0_576|~spl0_7|~spl0_150),
% 127.99/16.50 inference(split_clause,[status(thm)],[f6193,f6190,f142,f1288])).
% 127.99/16.50 fof(f6195,plain,(
% 127.99/16.50 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,xn))|sdtlseqdt0(sdtasdt0(X0,xl),sdtasdt0(X0,xn))|~spl0_576)),
% 127.99/16.50 inference(forward_demodulation,[status(thm)],[f103,f6191])).
% 127.99/16.50 fof(f6196,plain,(
% 127.99/16.50 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtasdt0(sdtpldt0(X1,X2),X0))|sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(sdtpldt0(X1,X2),X0)))),
% 127.99/16.50 inference(forward_subsumption_resolution,[status(thm)],[f1278,f38])).
% 127.99/16.50 fof(f6206,plain,(
% 127.99/16.50 spl0_577 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(sdtpldt0(xl,sk0_1),X0))|sdtlseqdt0(sdtasdt0(xl,X0),sdtasdt0(xn,X0))),
% 127.99/16.50 introduced(split_symbol_definition)).
% 127.99/16.50 fof(f6207,plain,(
% 127.99/16.50 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(sdtpldt0(xl,sk0_1),X0))|sdtlseqdt0(sdtasdt0(xl,X0),sdtasdt0(xn,X0))|~spl0_577)),
% 127.99/16.50 inference(component_clause,[status(thm)],[f6206])).
% 127.99/16.50 fof(f6209,plain,(
% 127.99/16.50 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xl)|~aNaturalNumber0(sk0_1)|~aNaturalNumber0(sdtasdt0(sdtpldt0(xl,sk0_1),X0))|sdtlseqdt0(sdtasdt0(xl,X0),sdtasdt0(xn,X0)))),
% 127.99/16.50 inference(paramodulation,[status(thm)],[f103,f6196])).
% 127.99/16.50 fof(f6210,plain,(
% 127.99/16.50 spl0_577|~spl0_7|~spl0_150),
% 127.99/16.50 inference(split_clause,[status(thm)],[f6209,f6206,f142,f1288])).
% 127.99/16.50 fof(f6211,plain,(
% 127.99/16.50 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(xn,X0))|sdtlseqdt0(sdtasdt0(xl,X0),sdtasdt0(xn,X0))|~spl0_577)),
% 128.67/16.54 inference(forward_demodulation,[status(thm)],[f103,f6207])).
% 128.67/16.54 fof(f25788,plain,(
% 128.67/16.54 ~aNaturalNumber0(xm)|~aNaturalNumber0(xl)|sdtasdt0(xm,xl)=sdtasdt0(xm,xn)|~spl0_384),
% 128.67/16.54 inference(paramodulation,[status(thm)],[f4240,f47])).
% 128.67/16.54 fof(f25789,plain,(
% 128.67/16.54 ~spl0_8|~spl0_7|spl0_0|~spl0_384),
% 128.67/16.54 inference(split_clause,[status(thm)],[f25788,f145,f142,f113,f4239])).
% 128.67/16.54 fof(f32865,plain,(
% 128.67/16.54 ~aNaturalNumber0(xm)|~aNaturalNumber0(sdtasdt0(xn,xm))|~spl0_577|spl0_4),
% 128.67/16.54 inference(resolution,[status(thm)],[f6211,f128])).
% 128.67/16.54 fof(f32866,plain,(
% 128.67/16.54 ~spl0_8|~spl0_233|~spl0_577|spl0_4),
% 128.67/16.54 inference(split_clause,[status(thm)],[f32865,f145,f2164,f6206,f126])).
% 128.67/16.54 fof(f33738,plain,(
% 128.67/16.54 ~aNaturalNumber0(xm)|~aNaturalNumber0(sdtasdt0(xm,xn))|spl0_6|~spl0_576),
% 128.67/16.54 inference(resolution,[status(thm)],[f136,f6195])).
% 128.67/16.54 fof(f33739,plain,(
% 128.67/16.54 ~spl0_8|~spl0_12|spl0_6|~spl0_576),
% 128.67/16.54 inference(split_clause,[status(thm)],[f33738,f145,f174,f134,f6190])).
% 128.67/16.54 fof(f33748,plain,(
% 128.67/16.54 $false),
% 128.67/16.54 inference(sat_refutation,[status(thm)],[f129,f137,f159,f161,f163,f202,f1299,f2028,f2048,f2180,f4243,f5034,f6194,f6210,f25789,f32866,f33739])).
% 128.67/16.54 % SZS output end CNFRefutation for theBenchmark.p
% 128.99/16.58 % Elapsed time: 16.229059 seconds
% 128.99/16.58 % CPU time: 128.883204 seconds
% 128.99/16.58 % Total memory used: 546.906 MB
% 128.99/16.58 % Net memory used: 519.997 MB
%------------------------------------------------------------------------------