TSTP Solution File: NUM469+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM469+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:34:48 EDT 2024
% Result : Theorem 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM469+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 20:30:19 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f2,axiom,(
% 0.12/0.40 aNaturalNumber0(sz00) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f4,axiom,(
% 0.12/0.40 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f5,axiom,(
% 0.12/0.40 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f8,axiom,(
% 0.12/0.40 (! [W0] :( aNaturalNumber0(W0)=> ( sdtpldt0(W0,sz00) = W0& W0 = sdtpldt0(sz00,W0) ) ) )),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f12,axiom,(
% 0.12/0.40 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f14,axiom,(
% 0.12/0.40 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)| sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )=> W1 = W2 ) ) )),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f30,definition,(
% 0.12/0.40 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( doDivides0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) )) ) )),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f33,hypothesis,(
% 0.12/0.40 ( aNaturalNumber0(xl)& aNaturalNumber0(xm)& aNaturalNumber0(xn) ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f34,hypothesis,(
% 0.12/0.40 ( (? [W0] :( aNaturalNumber0(W0)& xm = sdtasdt0(xl,W0) ))& doDivides0(xl,xm)& (? [W0] :( aNaturalNumber0(W0)& xn = sdtasdt0(xl,W0) ))& doDivides0(xl,xn) ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f35,hypothesis,(
% 0.12/0.40 ( xl != sz00=> ( aNaturalNumber0(sdtsldt0(xm,xl))& xm = sdtasdt0(xl,sdtsldt0(xm,xl))& aNaturalNumber0(sdtsldt0(xn,xl))& xn = sdtasdt0(xl,sdtsldt0(xn,xl))& sdtpldt0(xm,xn) = sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))) ) ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f36,conjecture,(
% 0.12/0.40 ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xm,xn) = sdtasdt0(xl,W0) ))| doDivides0(xl,sdtpldt0(xm,xn)) ) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f37,negated_conjecture,(
% 0.12/0.40 ~(( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xm,xn) = sdtasdt0(xl,W0) ))| doDivides0(xl,sdtpldt0(xm,xn)) ) )),
% 0.12/0.40 inference(negated_conjecture,[status(cth)],[f36])).
% 0.12/0.40 fof(f41,plain,(
% 0.12/0.40 aNaturalNumber0(sz00)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f2])).
% 0.12/0.40 fof(f44,plain,(
% 0.12/0.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.12/0.40 fof(f45,plain,(
% 0.12/0.40 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f44])).
% 0.12/0.40 fof(f46,plain,(
% 0.12/0.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.12/0.40 fof(f47,plain,(
% 0.12/0.40 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f46])).
% 0.12/0.40 fof(f52,plain,(
% 0.12/0.40 ![W0]: (~aNaturalNumber0(W0)|(sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.12/0.40 fof(f53,plain,(
% 0.12/0.40 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(X0,sz00)=X0)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f52])).
% 0.12/0.40 fof(f54,plain,(
% 0.12/0.40 ![X0]: (~aNaturalNumber0(X0)|X0=sdtpldt0(sz00,X0))),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f52])).
% 0.12/0.40 fof(f62,plain,(
% 0.12/0.40 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.12/0.40 fof(f64,plain,(
% 0.12/0.40 ![X0]: (~aNaturalNumber0(X0)|sz00=sdtasdt0(sz00,X0))),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f62])).
% 0.12/0.40 fof(f68,plain,(
% 0.12/0.40 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtpldt0(W0,W1)=sdtpldt0(W0,W2)&~sdtpldt0(W1,W0)=sdtpldt0(W2,W0))|W1=W2))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.12/0.40 fof(f69,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X1)=sdtpldt0(X0,X2)|X1=X2)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f68])).
% 0.12/0.40 fof(f119,plain,(
% 0.12/0.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(doDivides0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2)))))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 0.12/0.40 fof(f120,plain,(
% 0.12/0.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~doDivides0(W0,W1)|(?[W2]: (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))&(doDivides0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~W1=sdtasdt0(W0,W2))))))),
% 0.12/0.40 inference(NNF_transformation,[status(esa)],[f119])).
% 0.12/0.40 fof(f121,plain,(
% 0.12/0.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~doDivides0(W0,W1)|(aNaturalNumber0(sk0_1(W1,W0))&W1=sdtasdt0(W0,sk0_1(W1,W0))))&(doDivides0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~W1=sdtasdt0(W0,W2))))))),
% 0.12/0.40 inference(skolemization,[status(esa)],[f120])).
% 0.12/0.40 fof(f124,plain,(
% 0.12/0.40 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|doDivides0(X0,X1)|~aNaturalNumber0(X2)|~X1=sdtasdt0(X0,X2))),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f121])).
% 0.12/0.40 fof(f133,plain,(
% 0.12/0.40 aNaturalNumber0(xl)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f33])).
% 0.12/0.40 fof(f134,plain,(
% 0.12/0.40 aNaturalNumber0(xm)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f33])).
% 0.12/0.40 fof(f135,plain,(
% 0.12/0.40 aNaturalNumber0(xn)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f33])).
% 0.12/0.40 fof(f136,plain,(
% 0.12/0.40 (((aNaturalNumber0(sk0_2)&xm=sdtasdt0(xl,sk0_2))&doDivides0(xl,xm))&(aNaturalNumber0(sk0_3)&xn=sdtasdt0(xl,sk0_3)))&doDivides0(xl,xn)),
% 0.12/0.40 inference(skolemization,[status(esa)],[f34])).
% 0.12/0.40 fof(f137,plain,(
% 0.12/0.40 aNaturalNumber0(sk0_2)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f136])).
% 0.12/0.40 fof(f138,plain,(
% 0.12/0.40 xm=sdtasdt0(xl,sk0_2)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f136])).
% 0.12/0.40 fof(f140,plain,(
% 0.12/0.40 aNaturalNumber0(sk0_3)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f136])).
% 0.12/0.40 fof(f141,plain,(
% 0.12/0.40 xn=sdtasdt0(xl,sk0_3)),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f136])).
% 0.12/0.40 fof(f143,plain,(
% 0.12/0.40 xl=sz00|((((aNaturalNumber0(sdtsldt0(xm,xl))&xm=sdtasdt0(xl,sdtsldt0(xm,xl)))&aNaturalNumber0(sdtsldt0(xn,xl)))&xn=sdtasdt0(xl,sdtsldt0(xn,xl)))&sdtpldt0(xm,xn)=sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl))))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 0.12/0.40 fof(f144,plain,(
% 0.12/0.40 xl=sz00|aNaturalNumber0(sdtsldt0(xm,xl))),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f143])).
% 0.12/0.40 fof(f146,plain,(
% 0.12/0.40 xl=sz00|aNaturalNumber0(sdtsldt0(xn,xl))),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f143])).
% 0.12/0.40 fof(f148,plain,(
% 0.12/0.40 xl=sz00|sdtpldt0(xm,xn)=sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f143])).
% 0.12/0.40 fof(f149,plain,(
% 0.12/0.40 ((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(xm,xn)=sdtasdt0(xl,W0)))&~doDivides0(xl,sdtpldt0(xm,xn)))),
% 0.12/0.40 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.12/0.40 fof(f150,plain,(
% 0.12/0.40 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(xm,xn)=sdtasdt0(xl,X0))),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f149])).
% 0.12/0.40 fof(f151,plain,(
% 0.12/0.40 ~doDivides0(xl,sdtpldt0(xm,xn))),
% 0.12/0.40 inference(cnf_transformation,[status(esa)],[f149])).
% 0.12/0.40 fof(f152,plain,(
% 0.12/0.40 spl0_0 <=> xl=sz00),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f153,plain,(
% 0.12/0.40 xl=sz00|~spl0_0),
% 0.12/0.40 inference(component_clause,[status(thm)],[f152])).
% 0.12/0.40 fof(f155,plain,(
% 0.12/0.40 spl0_1 <=> aNaturalNumber0(sdtsldt0(xm,xl))),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f158,plain,(
% 0.12/0.40 spl0_0|spl0_1),
% 0.12/0.40 inference(split_clause,[status(thm)],[f144,f152,f155])).
% 0.12/0.40 fof(f163,plain,(
% 0.12/0.40 spl0_3 <=> aNaturalNumber0(sdtsldt0(xn,xl))),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f166,plain,(
% 0.12/0.40 spl0_0|spl0_3),
% 0.12/0.40 inference(split_clause,[status(thm)],[f146,f152,f163])).
% 0.12/0.40 fof(f171,plain,(
% 0.12/0.40 spl0_5 <=> sdtpldt0(xm,xn)=sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f172,plain,(
% 0.12/0.40 sdtpldt0(xm,xn)=sdtasdt0(xl,sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))|~spl0_5),
% 0.12/0.40 inference(component_clause,[status(thm)],[f171])).
% 0.12/0.40 fof(f174,plain,(
% 0.12/0.40 spl0_0|spl0_5),
% 0.12/0.40 inference(split_clause,[status(thm)],[f148,f152,f171])).
% 0.12/0.40 fof(f183,plain,(
% 0.12/0.40 ![X0,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,X2))|doDivides0(X0,sdtasdt0(X0,X2))|~aNaturalNumber0(X2))),
% 0.12/0.40 inference(destructive_equality_resolution,[status(esa)],[f124])).
% 0.12/0.40 fof(f184,plain,(
% 0.12/0.40 ![X0,X1]: (~aNaturalNumber0(X0)|doDivides0(X0,sdtasdt0(X0,X1))|~aNaturalNumber0(X1))),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f183,f47])).
% 0.12/0.40 fof(f190,plain,(
% 0.12/0.40 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(xm,xn)=sdtasdt0(sz00,X0)|~spl0_0)),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f153,f150])).
% 0.12/0.40 fof(f192,plain,(
% 0.12/0.40 xn=sdtasdt0(sz00,sk0_3)|~spl0_0),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f153,f141])).
% 0.12/0.40 fof(f194,plain,(
% 0.12/0.40 xm=sdtasdt0(sz00,sk0_2)|~spl0_0),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f153,f138])).
% 0.12/0.40 fof(f196,plain,(
% 0.12/0.40 spl0_6 <=> ~aNaturalNumber0(X0)),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f197,plain,(
% 0.12/0.40 ![X0]: (~aNaturalNumber0(X0)|~spl0_6)),
% 0.12/0.40 inference(component_clause,[status(thm)],[f196])).
% 0.12/0.40 fof(f199,plain,(
% 0.12/0.40 spl0_7 <=> ~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X1=X1),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f202,plain,(
% 0.12/0.40 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X1=X1)),
% 0.12/0.40 inference(equality_resolution,[status(esa)],[f69])).
% 0.12/0.40 fof(f203,plain,(
% 0.12/0.40 spl0_6|spl0_7),
% 0.12/0.40 inference(split_clause,[status(thm)],[f202,f196,f199])).
% 0.12/0.40 fof(f204,plain,(
% 0.12/0.40 $false|~spl0_6),
% 0.12/0.40 inference(backward_subsumption_resolution,[status(thm)],[f135,f197])).
% 0.12/0.40 fof(f205,plain,(
% 0.12/0.40 ~spl0_6),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f204])).
% 0.12/0.40 fof(f210,plain,(
% 0.12/0.40 spl0_8 <=> ~aNaturalNumber0(sdtpldt0(sz00,X0))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,X0))|X0=sdtpldt0(sz00,X0)),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f213,plain,(
% 0.12/0.40 spl0_9 <=> aNaturalNumber0(sz00)),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f215,plain,(
% 0.12/0.40 ~aNaturalNumber0(sz00)|spl0_9),
% 0.12/0.40 inference(component_clause,[status(thm)],[f213])).
% 0.12/0.40 fof(f216,plain,(
% 0.12/0.40 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,X0))|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,X0))|X0=sdtpldt0(sz00,X0))),
% 0.12/0.40 inference(resolution,[status(thm)],[f54,f69])).
% 0.12/0.40 fof(f217,plain,(
% 0.12/0.40 spl0_8|~spl0_9),
% 0.12/0.40 inference(split_clause,[status(thm)],[f216,f210,f213])).
% 0.12/0.40 fof(f220,plain,(
% 0.12/0.40 $false|spl0_9),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f215,f41])).
% 0.12/0.40 fof(f221,plain,(
% 0.12/0.40 spl0_9),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f220])).
% 0.12/0.40 fof(f243,plain,(
% 0.12/0.40 spl0_15 <=> aNaturalNumber0(xn)),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f245,plain,(
% 0.12/0.40 ~aNaturalNumber0(xn)|spl0_15),
% 0.12/0.40 inference(component_clause,[status(thm)],[f243])).
% 0.12/0.40 fof(f248,plain,(
% 0.12/0.40 $false|spl0_15),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f245,f135])).
% 0.12/0.40 fof(f249,plain,(
% 0.12/0.40 spl0_15),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f248])).
% 0.12/0.40 fof(f250,plain,(
% 0.12/0.40 spl0_16 <=> aNaturalNumber0(xl)),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f252,plain,(
% 0.12/0.40 ~aNaturalNumber0(xl)|spl0_16),
% 0.12/0.40 inference(component_clause,[status(thm)],[f250])).
% 0.12/0.40 fof(f253,plain,(
% 0.12/0.40 spl0_17 <=> aNaturalNumber0(xm)),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f255,plain,(
% 0.12/0.40 ~aNaturalNumber0(xm)|spl0_17),
% 0.12/0.40 inference(component_clause,[status(thm)],[f253])).
% 0.12/0.40 fof(f273,plain,(
% 0.12/0.40 $false|spl0_16),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f252,f133])).
% 0.12/0.40 fof(f274,plain,(
% 0.12/0.40 spl0_16),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f273])).
% 0.12/0.40 fof(f295,plain,(
% 0.12/0.40 spl0_25 <=> aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f297,plain,(
% 0.12/0.40 ~aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))|spl0_25),
% 0.12/0.40 inference(component_clause,[status(thm)],[f295])).
% 0.12/0.40 fof(f300,plain,(
% 0.12/0.40 spl0_26 <=> doDivides0(xl,sdtpldt0(xm,xn))),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f301,plain,(
% 0.12/0.40 doDivides0(xl,sdtpldt0(xm,xn))|~spl0_26),
% 0.12/0.40 inference(component_clause,[status(thm)],[f300])).
% 0.12/0.40 fof(f303,plain,(
% 0.12/0.40 ~aNaturalNumber0(xl)|doDivides0(xl,sdtpldt0(xm,xn))|~aNaturalNumber0(sdtpldt0(sdtsldt0(xm,xl),sdtsldt0(xn,xl)))|~spl0_5),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f172,f184])).
% 0.12/0.40 fof(f304,plain,(
% 0.12/0.40 ~spl0_16|spl0_26|~spl0_25|~spl0_5),
% 0.12/0.40 inference(split_clause,[status(thm)],[f303,f250,f300,f295,f171])).
% 0.12/0.40 fof(f307,plain,(
% 0.12/0.40 ~aNaturalNumber0(sdtsldt0(xm,xl))|~aNaturalNumber0(sdtsldt0(xn,xl))|spl0_25),
% 0.12/0.40 inference(resolution,[status(thm)],[f297,f45])).
% 0.12/0.40 fof(f308,plain,(
% 0.12/0.40 ~spl0_1|~spl0_3|spl0_25),
% 0.12/0.40 inference(split_clause,[status(thm)],[f307,f155,f163,f295])).
% 0.12/0.40 fof(f309,plain,(
% 0.12/0.40 $false|~spl0_26),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f301,f151])).
% 0.12/0.40 fof(f310,plain,(
% 0.12/0.40 ~spl0_26),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f309])).
% 0.12/0.40 fof(f332,plain,(
% 0.12/0.40 $false|spl0_17),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f255,f134])).
% 0.12/0.40 fof(f333,plain,(
% 0.12/0.40 spl0_17),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f332])).
% 0.12/0.40 fof(f345,plain,(
% 0.12/0.40 spl0_28 <=> aNaturalNumber0(sk0_3)),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f347,plain,(
% 0.12/0.40 ~aNaturalNumber0(sk0_3)|spl0_28),
% 0.12/0.40 inference(component_clause,[status(thm)],[f345])).
% 0.12/0.40 fof(f348,plain,(
% 0.12/0.40 spl0_29 <=> sdtpldt0(xm,xn)=xn),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f350,plain,(
% 0.12/0.40 ~sdtpldt0(xm,xn)=xn|spl0_29),
% 0.12/0.40 inference(component_clause,[status(thm)],[f348])).
% 0.12/0.40 fof(f351,plain,(
% 0.12/0.40 ~aNaturalNumber0(sk0_3)|~sdtpldt0(xm,xn)=xn|~spl0_0),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f192,f190])).
% 0.12/0.40 fof(f352,plain,(
% 0.12/0.40 ~spl0_28|~spl0_29|~spl0_0),
% 0.12/0.40 inference(split_clause,[status(thm)],[f351,f345,f348,f152])).
% 0.12/0.40 fof(f353,plain,(
% 0.12/0.40 spl0_30 <=> sz00=xn),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f354,plain,(
% 0.12/0.40 sz00=xn|~spl0_30),
% 0.12/0.40 inference(component_clause,[status(thm)],[f353])).
% 0.12/0.40 fof(f356,plain,(
% 0.12/0.40 ~aNaturalNumber0(sk0_3)|sz00=xn|~spl0_0),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f192,f64])).
% 0.12/0.40 fof(f357,plain,(
% 0.12/0.40 ~spl0_28|spl0_30|~spl0_0),
% 0.12/0.40 inference(split_clause,[status(thm)],[f356,f345,f353,f152])).
% 0.12/0.40 fof(f370,plain,(
% 0.12/0.40 $false|spl0_28),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f347,f140])).
% 0.12/0.40 fof(f371,plain,(
% 0.12/0.40 spl0_28),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f370])).
% 0.12/0.40 fof(f385,plain,(
% 0.12/0.40 ~sdtpldt0(xm,xn)=sz00|~spl0_30|spl0_29),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f354,f350])).
% 0.12/0.40 fof(f386,plain,(
% 0.12/0.40 ~sdtpldt0(xm,sz00)=sz00|~spl0_30|spl0_29),
% 0.12/0.40 inference(forward_demodulation,[status(thm)],[f354,f385])).
% 0.12/0.40 fof(f409,plain,(
% 0.12/0.40 spl0_35 <=> aNaturalNumber0(sk0_2)),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f411,plain,(
% 0.12/0.40 ~aNaturalNumber0(sk0_2)|spl0_35),
% 0.12/0.40 inference(component_clause,[status(thm)],[f409])).
% 0.12/0.40 fof(f412,plain,(
% 0.12/0.40 spl0_36 <=> sz00=xm),
% 0.12/0.40 introduced(split_symbol_definition)).
% 0.12/0.40 fof(f413,plain,(
% 0.12/0.40 sz00=xm|~spl0_36),
% 0.12/0.40 inference(component_clause,[status(thm)],[f412])).
% 0.12/0.40 fof(f415,plain,(
% 0.12/0.40 ~aNaturalNumber0(sk0_2)|sz00=xm|~spl0_0),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f194,f64])).
% 0.12/0.40 fof(f416,plain,(
% 0.12/0.40 ~spl0_35|spl0_36|~spl0_0),
% 0.12/0.40 inference(split_clause,[status(thm)],[f415,f409,f412,f152])).
% 0.12/0.40 fof(f426,plain,(
% 0.12/0.40 $false|spl0_35),
% 0.12/0.40 inference(forward_subsumption_resolution,[status(thm)],[f411,f137])).
% 0.12/0.40 fof(f427,plain,(
% 0.12/0.40 spl0_35),
% 0.12/0.40 inference(contradiction_clause,[status(thm)],[f426])).
% 0.12/0.40 fof(f438,plain,(
% 0.12/0.40 ~sdtpldt0(sz00,sz00)=sz00|~spl0_36|~spl0_30|spl0_29),
% 0.12/0.40 inference(backward_demodulation,[status(thm)],[f413,f386])).
% 0.12/0.40 fof(f466,plain,(
% 0.12/0.40 ~aNaturalNumber0(sz00)|~spl0_36|~spl0_30|spl0_29),
% 0.12/0.40 inference(resolution,[status(thm)],[f438,f53])).
% 0.12/0.40 fof(f467,plain,(
% 0.12/0.40 ~spl0_9|~spl0_36|~spl0_30|spl0_29),
% 0.12/0.40 inference(split_clause,[status(thm)],[f466,f213,f412,f353,f348])).
% 0.12/0.40 fof(f470,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(sat_refutation,[status(thm)],[f158,f166,f174,f203,f205,f217,f221,f249,f274,f304,f308,f310,f333,f352,f357,f371,f416,f427,f467])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.41 % Elapsed time: 0.059349 seconds
% 0.12/0.41 % CPU time: 0.342720 seconds
% 0.12/0.41 % Total memory used: 64.809 MB
% 0.12/0.41 % Net memory used: 64.394 MB
%------------------------------------------------------------------------------