TSTP Solution File: NUM507+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM507+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 12:29:27 EDT 2023
% Result : Theorem 23.54s 3.38s
% Output : CNFRefutation 24.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM507+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n003.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue May 30 09:55:08 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.5.1
% 23.54/3.38 % Refutation found
% 23.54/3.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 23.54/3.38 % SZS output start CNFRefutation for theBenchmark
% 23.54/3.38 fof(f4,axiom,(
% 23.54/3.38 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 23.54/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.54/3.38 fof(f5,axiom,(
% 23.54/3.38 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 23.54/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.54/3.38 fof(f14,axiom,(
% 23.54/3.38 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)| sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )=> W1 = W2 ) ) )),
% 23.54/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.54/3.38 fof(f21,axiom,(
% 23.54/3.38 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 23.54/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.54/3.38 fof(f22,axiom,(
% 23.54/3.38 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W2) )=> sdtlseqdt0(W0,W2) ) ) )),
% 23.54/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.54/3.38 fof(f23,axiom,(
% 23.54/3.38 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)| ( W1 != W0& sdtlseqdt0(W1,W0) ) ) ) )),
% 23.54/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.54/3.38 fof(f24,axiom,(
% 23.54/3.38 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( W0 != W1& sdtlseqdt0(W0,W1) )=> (! [W2] :( aNaturalNumber0(W2)=> ( sdtpldt0(W2,W0) != sdtpldt0(W2,W1)& sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))& sdtpldt0(W0,W2) != sdtpldt0(W1,W2)& sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)) ) ) )) ) )),
% 23.54/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.54/3.38 fof(f31,definition,(
% 23.54/3.38 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( W0 != sz00& doDivides0(W0,W1) )=> (! [W2] :( W2 = sdtsldt0(W1,W0)<=> ( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) ) )) ) )),
% 23.54/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.54/3.38 fof(f37,definition,(
% 23.54/3.38 (! [W0] :( aNaturalNumber0(W0)=> ( isPrime0(W0)<=> ( W0 != sz00& W0 != sz10& (! [W1] :( ( aNaturalNumber0(W1)& doDivides0(W1,W0) )=> ( W1 = sz10| W1 = W0 ) ) )) ) ) )),
% 23.54/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.54/3.38 fof(f39,hypothesis,(
% 23.54/3.38 ( aNaturalNumber0(xn)& aNaturalNumber0(xm)& aNaturalNumber0(xp) ) ),
% 23.54/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.54/3.38 fof(f41,hypothesis,(
% 23.54/3.38 ( isPrime0(xp)& doDivides0(xp,sdtasdt0(xn,xm)) ) ),
% 23.54/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.54/3.38 fof(f45,hypothesis,(
% 23.54/3.38 xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
% 23.54/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.54/3.38 fof(f48,hypothesis,(
% 23.54/3.38 ( aNaturalNumber0(xr)& doDivides0(xr,xk)& isPrime0(xr) ) ),
% 23.54/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.54/3.38 fof(f49,hypothesis,(
% 23.54/3.38 ( sdtlseqdt0(xr,xk)& doDivides0(xr,sdtasdt0(xn,xm)) ) ),
% 23.54/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.54/3.38 fof(f50,hypothesis,(
% 23.54/3.38 ( xk != xp& sdtlseqdt0(xk,xp) ) ),
% 23.54/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.54/3.38 fof(f51,conjecture,(
% 23.54/3.38 ( sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(sdtpldt0(xn,xm),xp)& sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ) ),
% 23.54/3.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 23.54/3.38 fof(f52,negated_conjecture,(
% 23.54/3.38 ~(( sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(sdtpldt0(xn,xm),xp)& sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ) )),
% 23.54/3.38 inference(negated_conjecture,[status(cth)],[f51])).
% 23.54/3.38 fof(f59,plain,(
% 23.54/3.38 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 23.54/3.38 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 23.54/3.38 fof(f60,plain,(
% 23.54/3.38 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 23.54/3.38 inference(cnf_transformation,[status(esa)],[f59])).
% 23.54/3.38 fof(f61,plain,(
% 23.54/3.38 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 23.54/3.38 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 23.54/3.38 fof(f62,plain,(
% 23.54/3.38 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f61])).
% 23.54/3.40 fof(f83,plain,(
% 23.54/3.40 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtpldt0(W0,W1)=sdtpldt0(W0,W2)&~sdtpldt0(W1,W0)=sdtpldt0(W2,W0))|W1=W2))),
% 23.54/3.40 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 23.54/3.40 fof(f84,plain,(
% 23.54/3.40 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X1)=sdtpldt0(X0,X2)|X1=X2)),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f83])).
% 23.54/3.40 fof(f108,plain,(
% 23.54/3.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 23.54/3.40 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 23.54/3.40 fof(f109,plain,(
% 23.54/3.40 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f108])).
% 23.54/3.40 fof(f110,plain,(
% 23.54/3.40 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W2))|sdtlseqdt0(W0,W2)))),
% 23.54/3.40 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 23.54/3.40 fof(f111,plain,(
% 23.54/3.40 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|sdtlseqdt0(X0,X2))),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f110])).
% 23.54/3.40 fof(f112,plain,(
% 23.54/3.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)|(~W1=W0&sdtlseqdt0(W1,W0))))),
% 23.54/3.40 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 23.54/3.40 fof(f114,plain,(
% 23.54/3.40 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f112])).
% 23.54/3.40 fof(f115,plain,(
% 23.54/3.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=W1|~sdtlseqdt0(W0,W1))|(![W2]: (~aNaturalNumber0(W2)|(((~sdtpldt0(W2,W0)=sdtpldt0(W2,W1)&sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1)))&~sdtpldt0(W0,W2)=sdtpldt0(W1,W2))&sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)))))))),
% 23.54/3.40 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 23.54/3.40 fof(f117,plain,(
% 23.54/3.40 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1)))),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f115])).
% 23.54/3.40 fof(f140,plain,(
% 23.54/3.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|(![W2]: (W2=sdtsldt0(W1,W0)<=>(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))))),
% 23.54/3.40 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 23.54/3.40 fof(f141,plain,(
% 23.54/3.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|(![W2]: ((~W2=sdtsldt0(W1,W0)|(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2)))&(W2=sdtsldt0(W1,W0)|(~aNaturalNumber0(W2)|~W1=sdtasdt0(W0,W2)))))))),
% 23.54/3.40 inference(NNF_transformation,[status(esa)],[f140])).
% 23.54/3.40 fof(f142,plain,(
% 23.54/3.40 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|((![W2]: (~W2=sdtsldt0(W1,W0)|(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))&(![W2]: (W2=sdtsldt0(W1,W0)|(~aNaturalNumber0(W2)|~W1=sdtasdt0(W0,W2)))))))),
% 23.54/3.40 inference(miniscoping,[status(esa)],[f141])).
% 23.54/3.40 fof(f143,plain,(
% 23.54/3.40 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|~X2=sdtsldt0(X1,X0)|aNaturalNumber0(X2))),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f142])).
% 23.54/3.40 fof(f156,plain,(
% 23.54/3.40 ![W0]: (~aNaturalNumber0(W0)|(isPrime0(W0)<=>((~W0=sz00&~W0=sz10)&(![W1]: ((~aNaturalNumber0(W1)|~doDivides0(W1,W0))|(W1=sz10|W1=W0))))))),
% 23.54/3.40 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 23.54/3.40 fof(f157,plain,(
% 23.54/3.40 ![W0]: (~aNaturalNumber0(W0)|((~isPrime0(W0)|((~W0=sz00&~W0=sz10)&(![W1]: ((~aNaturalNumber0(W1)|~doDivides0(W1,W0))|(W1=sz10|W1=W0)))))&(isPrime0(W0)|((W0=sz00|W0=sz10)|(?[W1]: ((aNaturalNumber0(W1)&doDivides0(W1,W0))&(~W1=sz10&~W1=W0)))))))),
% 23.54/3.40 inference(NNF_transformation,[status(esa)],[f156])).
% 23.54/3.40 fof(f158,plain,(
% 23.54/3.40 ![W0]: (~aNaturalNumber0(W0)|((~isPrime0(W0)|((~W0=sz00&~W0=sz10)&(![W1]: ((~aNaturalNumber0(W1)|~doDivides0(W1,W0))|(W1=sz10|W1=W0)))))&(isPrime0(W0)|((W0=sz00|W0=sz10)|((aNaturalNumber0(sk0_2(W0))&doDivides0(sk0_2(W0),W0))&(~sk0_2(W0)=sz10&~sk0_2(W0)=W0))))))),
% 23.54/3.40 inference(skolemization,[status(esa)],[f157])).
% 23.54/3.40 fof(f159,plain,(
% 23.54/3.40 ![X0]: (~aNaturalNumber0(X0)|~isPrime0(X0)|~X0=sz00)),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f158])).
% 23.54/3.40 fof(f171,plain,(
% 23.54/3.40 aNaturalNumber0(xn)),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f39])).
% 23.54/3.40 fof(f172,plain,(
% 23.54/3.40 aNaturalNumber0(xm)),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f39])).
% 23.54/3.40 fof(f173,plain,(
% 23.54/3.40 aNaturalNumber0(xp)),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f39])).
% 23.54/3.40 fof(f176,plain,(
% 23.54/3.40 isPrime0(xp)),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f41])).
% 23.54/3.40 fof(f177,plain,(
% 23.54/3.40 doDivides0(xp,sdtasdt0(xn,xm))),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f41])).
% 23.54/3.40 fof(f184,plain,(
% 23.54/3.40 xk=sdtsldt0(sdtasdt0(xn,xm),xp)),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f45])).
% 23.54/3.40 fof(f190,plain,(
% 23.54/3.40 aNaturalNumber0(xr)),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f48])).
% 23.54/3.40 fof(f193,plain,(
% 23.54/3.40 sdtlseqdt0(xr,xk)),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f49])).
% 23.54/3.40 fof(f195,plain,(
% 23.54/3.40 ~xk=xp),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f50])).
% 23.54/3.40 fof(f196,plain,(
% 23.54/3.40 sdtlseqdt0(xk,xp)),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f50])).
% 23.54/3.40 fof(f197,plain,(
% 23.54/3.40 (sdtpldt0(sdtpldt0(xn,xm),xr)=sdtpldt0(sdtpldt0(xn,xm),xp)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)))),
% 23.54/3.40 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 23.54/3.40 fof(f198,plain,(
% 23.54/3.40 sdtpldt0(sdtpldt0(xn,xm),xr)=sdtpldt0(sdtpldt0(xn,xm),xp)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))),
% 23.54/3.40 inference(cnf_transformation,[status(esa)],[f197])).
% 23.54/3.40 fof(f199,plain,(
% 23.54/3.40 spl0_0 <=> sdtpldt0(sdtpldt0(xn,xm),xr)=sdtpldt0(sdtpldt0(xn,xm),xp)),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f200,plain,(
% 23.54/3.40 sdtpldt0(sdtpldt0(xn,xm),xr)=sdtpldt0(sdtpldt0(xn,xm),xp)|~spl0_0),
% 23.54/3.40 inference(component_clause,[status(thm)],[f199])).
% 23.54/3.40 fof(f202,plain,(
% 23.54/3.40 spl0_1 <=> sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f204,plain,(
% 23.54/3.40 ~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))|spl0_1),
% 23.54/3.40 inference(component_clause,[status(thm)],[f202])).
% 23.54/3.40 fof(f205,plain,(
% 23.54/3.40 spl0_0|~spl0_1),
% 23.54/3.40 inference(split_clause,[status(thm)],[f198,f199,f202])).
% 23.54/3.40 fof(f208,plain,(
% 23.54/3.40 spl0_2 <=> aNaturalNumber0(xm)),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f210,plain,(
% 23.54/3.40 ~aNaturalNumber0(xm)|spl0_2),
% 23.54/3.40 inference(component_clause,[status(thm)],[f208])).
% 23.54/3.40 fof(f211,plain,(
% 23.54/3.40 spl0_3 <=> aNaturalNumber0(xp)),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f213,plain,(
% 23.54/3.40 ~aNaturalNumber0(xp)|spl0_3),
% 23.54/3.40 inference(component_clause,[status(thm)],[f211])).
% 23.54/3.40 fof(f219,plain,(
% 23.54/3.40 spl0_5 <=> aNaturalNumber0(xn)),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f221,plain,(
% 23.54/3.40 ~aNaturalNumber0(xn)|spl0_5),
% 23.54/3.40 inference(component_clause,[status(thm)],[f219])).
% 23.54/3.40 fof(f227,plain,(
% 23.54/3.40 $false|spl0_5),
% 23.54/3.40 inference(forward_subsumption_resolution,[status(thm)],[f221,f171])).
% 23.54/3.40 fof(f228,plain,(
% 23.54/3.40 spl0_5),
% 23.54/3.40 inference(contradiction_clause,[status(thm)],[f227])).
% 23.54/3.40 fof(f229,plain,(
% 23.54/3.40 $false|spl0_3),
% 23.54/3.40 inference(forward_subsumption_resolution,[status(thm)],[f213,f173])).
% 23.54/3.40 fof(f230,plain,(
% 23.54/3.40 spl0_3),
% 23.54/3.40 inference(contradiction_clause,[status(thm)],[f229])).
% 23.54/3.40 fof(f231,plain,(
% 23.54/3.40 $false|spl0_2),
% 23.54/3.40 inference(forward_subsumption_resolution,[status(thm)],[f210,f172])).
% 23.54/3.40 fof(f232,plain,(
% 23.54/3.40 spl0_2),
% 23.54/3.40 inference(contradiction_clause,[status(thm)],[f231])).
% 23.54/3.40 fof(f253,plain,(
% 23.54/3.40 spl0_11 <=> aNaturalNumber0(xr)),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f255,plain,(
% 23.54/3.40 ~aNaturalNumber0(xr)|spl0_11),
% 23.54/3.40 inference(component_clause,[status(thm)],[f253])).
% 23.54/3.40 fof(f256,plain,(
% 23.54/3.40 spl0_12 <=> xr=xp),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f257,plain,(
% 23.54/3.40 xr=xp|~spl0_12),
% 23.54/3.40 inference(component_clause,[status(thm)],[f256])).
% 23.54/3.40 fof(f259,plain,(
% 23.54/3.40 spl0_13 <=> sdtlseqdt0(xr,xp)),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f261,plain,(
% 23.54/3.40 ~sdtlseqdt0(xr,xp)|spl0_13),
% 23.54/3.40 inference(component_clause,[status(thm)],[f259])).
% 23.54/3.40 fof(f262,plain,(
% 23.54/3.40 spl0_14 <=> aNaturalNumber0(sdtpldt0(xn,xm))),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f264,plain,(
% 23.54/3.40 ~aNaturalNumber0(sdtpldt0(xn,xm))|spl0_14),
% 23.54/3.40 inference(component_clause,[status(thm)],[f262])).
% 23.54/3.40 fof(f265,plain,(
% 23.54/3.40 ~aNaturalNumber0(xr)|~aNaturalNumber0(xp)|xr=xp|~sdtlseqdt0(xr,xp)|~aNaturalNumber0(sdtpldt0(xn,xm))|spl0_1),
% 23.54/3.40 inference(resolution,[status(thm)],[f204,f117])).
% 23.54/3.40 fof(f266,plain,(
% 23.54/3.40 ~spl0_11|~spl0_3|spl0_12|~spl0_13|~spl0_14|spl0_1),
% 23.54/3.40 inference(split_clause,[status(thm)],[f265,f253,f211,f256,f259,f262,f202])).
% 23.54/3.40 fof(f278,plain,(
% 23.54/3.40 ~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|spl0_14),
% 23.54/3.40 inference(resolution,[status(thm)],[f264,f60])).
% 23.54/3.40 fof(f279,plain,(
% 23.54/3.40 ~spl0_5|~spl0_2|spl0_14),
% 23.54/3.40 inference(split_clause,[status(thm)],[f278,f219,f208,f262])).
% 23.54/3.40 fof(f280,plain,(
% 23.54/3.40 spl0_18 <=> sdtlseqdt0(xp,xr)),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f281,plain,(
% 23.54/3.40 sdtlseqdt0(xp,xr)|~spl0_18),
% 23.54/3.40 inference(component_clause,[status(thm)],[f280])).
% 23.54/3.40 fof(f283,plain,(
% 23.54/3.40 ~aNaturalNumber0(xp)|~aNaturalNumber0(xr)|sdtlseqdt0(xp,xr)|spl0_13),
% 23.54/3.40 inference(resolution,[status(thm)],[f261,f114])).
% 23.54/3.40 fof(f284,plain,(
% 23.54/3.40 ~spl0_3|~spl0_11|spl0_18|spl0_13),
% 23.54/3.40 inference(split_clause,[status(thm)],[f283,f211,f253,f280,f259])).
% 23.54/3.40 fof(f285,plain,(
% 23.54/3.40 $false|spl0_11),
% 23.54/3.40 inference(forward_subsumption_resolution,[status(thm)],[f255,f190])).
% 23.54/3.40 fof(f286,plain,(
% 23.54/3.40 spl0_11),
% 23.54/3.40 inference(contradiction_clause,[status(thm)],[f285])).
% 23.54/3.40 fof(f469,plain,(
% 23.54/3.40 spl0_40 <=> aNaturalNumber0(xk)),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f597,plain,(
% 23.54/3.40 spl0_53 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xr)|sdtlseqdt0(X0,xk)),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f598,plain,(
% 23.54/3.40 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xr)|sdtlseqdt0(X0,xk)|~spl0_53)),
% 23.54/3.40 inference(component_clause,[status(thm)],[f597])).
% 23.54/3.40 fof(f600,plain,(
% 23.54/3.40 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xr)|~aNaturalNumber0(xk)|~sdtlseqdt0(X0,xr)|sdtlseqdt0(X0,xk))),
% 23.54/3.40 inference(resolution,[status(thm)],[f111,f193])).
% 23.54/3.40 fof(f601,plain,(
% 23.54/3.40 spl0_53|~spl0_11|~spl0_40),
% 23.54/3.40 inference(split_clause,[status(thm)],[f600,f597,f253,f469])).
% 23.54/3.40 fof(f732,plain,(
% 23.54/3.40 spl0_70 <=> sdtlseqdt0(xp,xk)),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f735,plain,(
% 23.54/3.40 spl0_71 <=> xp=xk),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f736,plain,(
% 23.54/3.40 xp=xk|~spl0_71),
% 23.54/3.40 inference(component_clause,[status(thm)],[f735])).
% 23.54/3.40 fof(f738,plain,(
% 23.54/3.40 ~aNaturalNumber0(xp)|~aNaturalNumber0(xk)|~sdtlseqdt0(xp,xk)|xp=xk),
% 23.54/3.40 inference(resolution,[status(thm)],[f196,f109])).
% 23.54/3.40 fof(f739,plain,(
% 23.54/3.40 ~spl0_3|~spl0_40|~spl0_70|spl0_71),
% 23.54/3.40 inference(split_clause,[status(thm)],[f738,f211,f469,f732,f735])).
% 23.54/3.40 fof(f785,plain,(
% 23.54/3.40 spl0_73 <=> xp=sz00),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f788,plain,(
% 23.54/3.40 ~aNaturalNumber0(xp)|~xp=sz00),
% 23.54/3.40 inference(resolution,[status(thm)],[f159,f176])).
% 23.54/3.40 fof(f789,plain,(
% 23.54/3.40 ~spl0_3|~spl0_73),
% 23.54/3.40 inference(split_clause,[status(thm)],[f788,f211,f785])).
% 23.54/3.40 fof(f932,plain,(
% 23.54/3.40 spl0_87 <=> sdtlseqdt0(xk,xp)),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f934,plain,(
% 23.54/3.40 ~sdtlseqdt0(xk,xp)|spl0_87),
% 23.54/3.40 inference(component_clause,[status(thm)],[f932])).
% 23.54/3.40 fof(f998,plain,(
% 23.54/3.40 $false|spl0_87),
% 23.54/3.40 inference(forward_subsumption_resolution,[status(thm)],[f934,f196])).
% 23.54/3.40 fof(f999,plain,(
% 23.54/3.40 spl0_87),
% 23.54/3.40 inference(contradiction_clause,[status(thm)],[f998])).
% 23.54/3.40 fof(f5354,plain,(
% 23.54/3.40 $false|~spl0_71),
% 23.54/3.40 inference(forward_subsumption_resolution,[status(thm)],[f736,f195])).
% 23.54/3.40 fof(f5355,plain,(
% 23.54/3.40 ~spl0_71),
% 23.54/3.40 inference(contradiction_clause,[status(thm)],[f5354])).
% 23.54/3.40 fof(f9002,plain,(
% 23.54/3.40 spl0_753 <=> aNaturalNumber0(sdtasdt0(xn,xm))),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f9004,plain,(
% 23.54/3.40 ~aNaturalNumber0(sdtasdt0(xn,xm))|spl0_753),
% 23.54/3.40 inference(component_clause,[status(thm)],[f9002])).
% 23.54/3.40 fof(f9005,plain,(
% 23.54/3.40 spl0_754 <=> doDivides0(xp,sdtasdt0(xn,xm))),
% 23.54/3.40 introduced(split_symbol_definition)).
% 23.54/3.40 fof(f9007,plain,(
% 23.54/3.40 ~doDivides0(xp,sdtasdt0(xn,xm))|spl0_754),
% 23.54/3.40 inference(component_clause,[status(thm)],[f9005])).
% 23.54/3.40 fof(f9008,plain,(
% 23.54/3.40 ~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))|xp=sz00|~doDivides0(xp,sdtasdt0(xn,xm))|aNaturalNumber0(xk)),
% 23.54/3.40 inference(resolution,[status(thm)],[f143,f184])).
% 23.54/3.40 fof(f9009,plain,(
% 23.54/3.40 ~spl0_3|~spl0_753|spl0_73|~spl0_754|spl0_40),
% 23.54/3.40 inference(split_clause,[status(thm)],[f9008,f211,f9002,f785,f9005,f469])).
% 24.27/3.40 fof(f9024,plain,(
% 24.27/3.40 $false|spl0_754),
% 24.27/3.40 inference(forward_subsumption_resolution,[status(thm)],[f9007,f177])).
% 24.27/3.40 fof(f9025,plain,(
% 24.27/3.40 spl0_754),
% 24.27/3.40 inference(contradiction_clause,[status(thm)],[f9024])).
% 24.27/3.40 fof(f10098,plain,(
% 24.27/3.40 ~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|spl0_753),
% 24.27/3.40 inference(resolution,[status(thm)],[f9004,f62])).
% 24.27/3.40 fof(f10099,plain,(
% 24.27/3.40 ~spl0_5|~spl0_2|spl0_753),
% 24.27/3.40 inference(split_clause,[status(thm)],[f10098,f219,f208,f9002])).
% 24.27/3.40 fof(f10101,plain,(
% 24.27/3.40 sdtlseqdt0(xp,xk)|~spl0_12),
% 24.27/3.40 inference(backward_demodulation,[status(thm)],[f257,f193])).
% 24.27/3.40 fof(f10132,plain,(
% 24.27/3.40 ~aNaturalNumber0(xp)|sdtlseqdt0(xp,xk)|~spl0_53|~spl0_18),
% 24.27/3.40 inference(resolution,[status(thm)],[f598,f281])).
% 24.27/3.40 fof(f10133,plain,(
% 24.27/3.40 ~spl0_3|spl0_70|~spl0_53|~spl0_18),
% 24.27/3.40 inference(split_clause,[status(thm)],[f10132,f211,f732,f597,f280])).
% 24.27/3.40 fof(f10452,plain,(
% 24.27/3.40 ~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(xr)|~aNaturalNumber0(xp)|xr=xp|~spl0_0),
% 24.27/3.40 inference(resolution,[status(thm)],[f200,f84])).
% 24.27/3.40 fof(f10453,plain,(
% 24.27/3.40 ~spl0_14|~spl0_11|~spl0_3|spl0_12|~spl0_0),
% 24.27/3.40 inference(split_clause,[status(thm)],[f10452,f262,f253,f211,f256,f199])).
% 24.27/3.40 fof(f11238,plain,(
% 24.27/3.40 ~aNaturalNumber0(xk)|~aNaturalNumber0(xp)|~sdtlseqdt0(xk,xp)|xk=xp|~spl0_12),
% 24.27/3.40 inference(resolution,[status(thm)],[f10101,f109])).
% 24.27/3.40 fof(f11239,plain,(
% 24.27/3.40 ~spl0_40|~spl0_3|~spl0_87|spl0_71|~spl0_12),
% 24.27/3.40 inference(split_clause,[status(thm)],[f11238,f469,f211,f932,f735,f256])).
% 24.27/3.40 fof(f11240,plain,(
% 24.27/3.40 $false),
% 24.27/3.40 inference(sat_refutation,[status(thm)],[f205,f228,f230,f232,f266,f279,f284,f286,f601,f739,f789,f999,f5355,f9009,f9025,f10099,f10133,f10453,f11239])).
% 24.27/3.40 % SZS output end CNFRefutation for theBenchmark.p
% 24.27/3.43 % Elapsed time: 3.088284 seconds
% 24.27/3.43 % CPU time: 24.408648 seconds
% 24.27/3.43 % Memory used: 216.206 MB
%------------------------------------------------------------------------------