TSTP Solution File: NUM473+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM473+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:34:49 EDT 2024
% Result : Timeout 286.93s 36.34s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : NUM473+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n026.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Mon Apr 29 20:55:49 EDT 2024
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % Drodi V3.6.0
% 286.93/36.34 % Refutation found
% 286.93/36.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 286.93/36.34 % SZS output start CNFRefutation for theBenchmark
% 286.93/36.34 fof(f4,axiom,(
% 286.93/36.34 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 286.93/36.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 286.93/36.34 fof(f21,axiom,(
% 286.93/36.34 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 286.93/36.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 286.93/36.34 fof(f22,axiom,(
% 286.93/36.34 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W2) )=> sdtlseqdt0(W0,W2) ) ) )),
% 286.93/36.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 286.93/36.34 fof(f23,axiom,(
% 286.93/36.34 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)| ( W1 != W0& sdtlseqdt0(W1,W0) ) ) ) )),
% 286.93/36.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 286.93/36.34 fof(f25,axiom,(
% 286.93/36.34 (! [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)) ) ) ) )),
% 286.93/36.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 286.93/36.34 fof(f31,definition,(
% 286.93/36.34 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( W0 != sz00& doDivides0(W0,W1) )=> (! [W2] :( W2 = sdtsldt0(W1,W0)<=> ( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) ) )) ) )),
% 286.93/36.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 286.93/36.34 fof(f34,hypothesis,(
% 286.93/36.34 ( aNaturalNumber0(xl)& aNaturalNumber0(xm)& aNaturalNumber0(xn) ) ),
% 286.93/36.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 286.93/36.34 fof(f35,hypothesis,(
% 286.93/36.34 ( doDivides0(xl,xm)& doDivides0(xl,sdtpldt0(xm,xn)) ) ),
% 286.93/36.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 286.93/36.34 fof(f36,hypothesis,(
% 286.93/36.34 xl != sz00 ),
% 286.93/36.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 286.93/36.34 fof(f37,hypothesis,(
% 286.93/36.34 xp = sdtsldt0(xm,xl) ),
% 286.93/36.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 286.93/36.34 fof(f38,hypothesis,(
% 286.93/36.34 xq = sdtsldt0(sdtpldt0(xm,xn),xl) ),
% 286.93/36.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 286.93/36.34 fof(f39,hypothesis,(
% 286.93/36.34 sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
% 286.93/36.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 286.93/36.34 fof(f40,conjecture,(
% 286.93/36.34 sdtlseqdt0(xp,xq) ),
% 286.93/36.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 286.93/36.34 fof(f41,negated_conjecture,(
% 286.93/36.34 ~(sdtlseqdt0(xp,xq) )),
% 286.93/36.34 inference(negated_conjecture,[status(cth)],[f40])).
% 286.93/36.34 fof(f48,plain,(
% 286.93/36.34 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 286.93/36.34 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 286.93/36.34 fof(f49,plain,(
% 286.93/36.34 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f48])).
% 286.93/36.34 fof(f97,plain,(
% 286.93/36.34 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 286.93/36.34 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 286.93/36.34 fof(f98,plain,(
% 286.93/36.34 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f97])).
% 286.93/36.34 fof(f99,plain,(
% 286.93/36.34 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W2))|sdtlseqdt0(W0,W2)))),
% 286.93/36.34 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 286.93/36.34 fof(f100,plain,(
% 286.93/36.34 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|sdtlseqdt0(X0,X2))),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f99])).
% 286.93/36.34 fof(f101,plain,(
% 286.93/36.34 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)|(~W1=W0&sdtlseqdt0(W1,W0))))),
% 286.93/36.34 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 286.93/36.34 fof(f103,plain,(
% 286.93/36.34 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f101])).
% 286.93/36.34 fof(f109,plain,(
% 286.93/36.34 ![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)))))),
% 286.93/36.34 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 286.93/36.34 fof(f111,plain,(
% 286.93/36.34 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f109])).
% 286.93/36.34 fof(f129,plain,(
% 286.93/36.34 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|(![W2]: (W2=sdtsldt0(W1,W0)<=>(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))))),
% 286.93/36.34 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 286.93/36.34 fof(f130,plain,(
% 286.93/36.34 ![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)))))))),
% 286.93/36.34 inference(NNF_transformation,[status(esa)],[f129])).
% 286.93/36.34 fof(f131,plain,(
% 286.93/36.34 ![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)))))))),
% 286.93/36.34 inference(miniscoping,[status(esa)],[f130])).
% 286.93/36.34 fof(f132,plain,(
% 286.93/36.34 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|~X2=sdtsldt0(X1,X0)|aNaturalNumber0(X2))),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f131])).
% 286.93/36.34 fof(f133,plain,(
% 286.93/36.34 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|~X2=sdtsldt0(X1,X0)|X1=sdtasdt0(X0,X2))),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f131])).
% 286.93/36.34 fof(f139,plain,(
% 286.93/36.34 aNaturalNumber0(xl)),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f34])).
% 286.93/36.34 fof(f140,plain,(
% 286.93/36.34 aNaturalNumber0(xm)),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f34])).
% 286.93/36.34 fof(f141,plain,(
% 286.93/36.34 aNaturalNumber0(xn)),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f34])).
% 286.93/36.34 fof(f142,plain,(
% 286.93/36.34 doDivides0(xl,xm)),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f35])).
% 286.93/36.34 fof(f143,plain,(
% 286.93/36.34 doDivides0(xl,sdtpldt0(xm,xn))),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f35])).
% 286.93/36.34 fof(f144,plain,(
% 286.93/36.34 ~xl=sz00),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f36])).
% 286.93/36.34 fof(f145,plain,(
% 286.93/36.34 xp=sdtsldt0(xm,xl)),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f37])).
% 286.93/36.34 fof(f146,plain,(
% 286.93/36.34 xq=sdtsldt0(sdtpldt0(xm,xn),xl)),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f38])).
% 286.93/36.34 fof(f147,plain,(
% 286.93/36.34 sdtlseqdt0(xm,sdtpldt0(xm,xn))),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f39])).
% 286.93/36.34 fof(f148,plain,(
% 286.93/36.34 ~sdtlseqdt0(xp,xq)),
% 286.93/36.34 inference(cnf_transformation,[status(esa)],[f41])).
% 286.93/36.34 fof(f156,plain,(
% 286.93/36.34 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|aNaturalNumber0(sdtsldt0(X1,X0)))),
% 286.93/36.34 inference(destructive_equality_resolution,[status(esa)],[f132])).
% 286.93/36.34 fof(f157,plain,(
% 286.93/36.34 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|X1=sdtasdt0(X0,sdtsldt0(X1,X0)))),
% 286.93/36.34 inference(destructive_equality_resolution,[status(esa)],[f133])).
% 286.93/36.34 fof(f159,plain,(
% 286.93/36.34 spl0_0 <=> aNaturalNumber0(xq)),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f162,plain,(
% 286.93/36.34 spl0_1 <=> aNaturalNumber0(xp)),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f165,plain,(
% 286.93/36.34 spl0_2 <=> sdtlseqdt0(xq,xp)),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f168,plain,(
% 286.93/36.34 ~aNaturalNumber0(xq)|~aNaturalNumber0(xp)|sdtlseqdt0(xq,xp)),
% 286.93/36.34 inference(resolution,[status(thm)],[f103,f148])).
% 286.93/36.34 fof(f169,plain,(
% 286.93/36.34 ~spl0_0|~spl0_1|spl0_2),
% 286.93/36.34 inference(split_clause,[status(thm)],[f168,f159,f162,f165])).
% 286.93/36.34 fof(f170,plain,(
% 286.93/36.34 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|sdtlseqdt0(X0,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|sdtlseqdt0(X2,X1))),
% 286.93/36.34 inference(resolution,[status(thm)],[f100,f103])).
% 286.93/36.34 fof(f171,plain,(
% 286.93/36.34 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X2,X1))),
% 286.93/36.34 inference(duplicate_literals_removal,[status(esa)],[f170])).
% 286.93/36.34 fof(f188,plain,(
% 286.93/36.34 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|sdtlseqdt0(X1,X0))),
% 286.93/36.34 inference(resolution,[status(thm)],[f171,f103])).
% 286.93/36.34 fof(f189,plain,(
% 286.93/36.34 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X2,X1)|sdtlseqdt0(X1,X0))),
% 286.93/36.34 inference(duplicate_literals_removal,[status(esa)],[f188])).
% 286.93/36.34 fof(f3046,plain,(
% 286.93/36.34 spl0_24 <=> aNaturalNumber0(xm)),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f3048,plain,(
% 286.93/36.34 ~aNaturalNumber0(xm)|spl0_24),
% 286.93/36.34 inference(component_clause,[status(thm)],[f3046])).
% 286.93/36.34 fof(f3049,plain,(
% 286.93/36.34 spl0_25 <=> aNaturalNumber0(sdtpldt0(xm,xn))),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f3051,plain,(
% 286.93/36.34 ~aNaturalNumber0(sdtpldt0(xm,xn))|spl0_25),
% 286.93/36.34 inference(component_clause,[status(thm)],[f3049])).
% 286.93/36.34 fof(f3054,plain,(
% 286.93/36.34 spl0_26 <=> sdtlseqdt0(sdtpldt0(xm,xn),xm)),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f3057,plain,(
% 286.93/36.34 spl0_27 <=> sdtpldt0(xm,xn)=xm),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f3058,plain,(
% 286.93/36.34 sdtpldt0(xm,xn)=xm|~spl0_27),
% 286.93/36.34 inference(component_clause,[status(thm)],[f3057])).
% 286.93/36.34 fof(f3060,plain,(
% 286.93/36.34 ~aNaturalNumber0(sdtpldt0(xm,xn))|~aNaturalNumber0(xm)|~sdtlseqdt0(sdtpldt0(xm,xn),xm)|sdtpldt0(xm,xn)=xm),
% 286.93/36.34 inference(resolution,[status(thm)],[f147,f98])).
% 286.93/36.34 fof(f3061,plain,(
% 286.93/36.34 ~spl0_25|~spl0_24|~spl0_26|spl0_27),
% 286.93/36.34 inference(split_clause,[status(thm)],[f3060,f3049,f3046,f3054,f3057])).
% 286.93/36.34 fof(f3067,plain,(
% 286.93/36.34 $false|spl0_24),
% 286.93/36.34 inference(forward_subsumption_resolution,[status(thm)],[f3048,f140])).
% 286.93/36.34 fof(f3068,plain,(
% 286.93/36.34 spl0_24),
% 286.93/36.34 inference(contradiction_clause,[status(thm)],[f3067])).
% 286.93/36.34 fof(f3074,plain,(
% 286.93/36.34 spl0_30 <=> aNaturalNumber0(xn)),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f3076,plain,(
% 286.93/36.34 ~aNaturalNumber0(xn)|spl0_30),
% 286.93/36.34 inference(component_clause,[status(thm)],[f3074])).
% 286.93/36.34 fof(f3077,plain,(
% 286.93/36.34 ~aNaturalNumber0(xm)|~aNaturalNumber0(xn)|spl0_25),
% 286.93/36.34 inference(resolution,[status(thm)],[f49,f3051])).
% 286.93/36.34 fof(f3078,plain,(
% 286.93/36.34 ~spl0_24|~spl0_30|spl0_25),
% 286.93/36.34 inference(split_clause,[status(thm)],[f3077,f3046,f3074,f3049])).
% 286.93/36.34 fof(f3079,plain,(
% 286.93/36.34 $false|spl0_30),
% 286.93/36.34 inference(forward_subsumption_resolution,[status(thm)],[f3076,f141])).
% 286.93/36.34 fof(f3080,plain,(
% 286.93/36.34 spl0_30),
% 286.93/36.34 inference(contradiction_clause,[status(thm)],[f3079])).
% 286.93/36.34 fof(f3083,plain,(
% 286.93/36.34 xq=sdtsldt0(xm,xl)|~spl0_27),
% 286.93/36.34 inference(backward_demodulation,[status(thm)],[f3058,f146])).
% 286.93/36.34 fof(f3084,plain,(
% 286.93/36.34 xq=xp|~spl0_27),
% 286.93/36.34 inference(forward_demodulation,[status(thm)],[f145,f3083])).
% 286.93/36.34 fof(f4265,plain,(
% 286.93/36.34 ~sdtlseqdt0(xp,xp)|~spl0_27),
% 286.93/36.34 inference(backward_demodulation,[status(thm)],[f3084,f148])).
% 286.93/36.34 fof(f4266,plain,(
% 286.93/36.34 spl0_134 <=> sdtlseqdt0(xp,xp)),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f4267,plain,(
% 286.93/36.34 sdtlseqdt0(xp,xp)|~spl0_134),
% 286.93/36.34 inference(component_clause,[status(thm)],[f4266])).
% 286.93/36.34 fof(f4268,plain,(
% 286.93/36.34 ~sdtlseqdt0(xp,xp)|spl0_134),
% 286.93/36.34 inference(component_clause,[status(thm)],[f4266])).
% 286.93/36.34 fof(f4972,plain,(
% 286.93/36.34 spl0_204 <=> aNaturalNumber0(xl)),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f4974,plain,(
% 286.93/36.34 ~aNaturalNumber0(xl)|spl0_204),
% 286.93/36.34 inference(component_clause,[status(thm)],[f4972])).
% 286.93/36.34 fof(f4975,plain,(
% 286.93/36.34 spl0_205 <=> xl=sz00),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f4976,plain,(
% 286.93/36.34 xl=sz00|~spl0_205),
% 286.93/36.34 inference(component_clause,[status(thm)],[f4975])).
% 286.93/36.34 fof(f4985,plain,(
% 286.93/36.34 $false|spl0_204),
% 286.93/36.34 inference(forward_subsumption_resolution,[status(thm)],[f4974,f139])).
% 286.93/36.34 fof(f4986,plain,(
% 286.93/36.34 spl0_204),
% 286.93/36.34 inference(contradiction_clause,[status(thm)],[f4985])).
% 286.93/36.34 fof(f4990,plain,(
% 286.93/36.34 $false|~spl0_205),
% 286.93/36.34 inference(forward_subsumption_resolution,[status(thm)],[f4976,f144])).
% 286.93/36.34 fof(f4991,plain,(
% 286.93/36.34 ~spl0_205),
% 286.93/36.34 inference(contradiction_clause,[status(thm)],[f4990])).
% 286.93/36.34 fof(f5054,plain,(
% 286.93/36.34 $false|~spl0_134|~spl0_27),
% 286.93/36.34 inference(forward_subsumption_resolution,[status(thm)],[f4265,f4267])).
% 286.93/36.34 fof(f5055,plain,(
% 286.93/36.34 ~spl0_134|~spl0_27),
% 286.93/36.34 inference(contradiction_clause,[status(thm)],[f5054])).
% 286.93/36.34 fof(f5072,plain,(
% 286.93/36.34 spl0_217 <=> xp=xq),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f5073,plain,(
% 286.93/36.34 xp=xq|~spl0_217),
% 286.93/36.34 inference(component_clause,[status(thm)],[f5072])).
% 286.93/36.34 fof(f5082,plain,(
% 286.93/36.34 ~sdtlseqdt0(xp,xp)|~spl0_217),
% 286.93/36.34 inference(backward_demodulation,[status(thm)],[f5073,f148])).
% 286.93/36.34 fof(f5083,plain,(
% 286.93/36.34 $false|~spl0_134|~spl0_217),
% 286.93/36.34 inference(forward_subsumption_resolution,[status(thm)],[f5082,f4267])).
% 286.93/36.34 fof(f5084,plain,(
% 286.93/36.34 ~spl0_134|~spl0_217),
% 286.93/36.34 inference(contradiction_clause,[status(thm)],[f5083])).
% 286.93/36.34 fof(f6279,plain,(
% 286.93/36.34 ~aNaturalNumber0(xp)|~aNaturalNumber0(xp)|~aNaturalNumber0(xp)|sdtlseqdt0(xp,xp)|spl0_134),
% 286.93/36.34 inference(resolution,[status(thm)],[f4268,f189])).
% 286.93/36.34 fof(f6280,plain,(
% 286.93/36.34 ~spl0_1|spl0_134),
% 286.93/36.34 inference(split_clause,[status(thm)],[f6279,f162,f4266])).
% 286.93/36.34 fof(f8124,plain,(
% 286.93/36.34 spl0_506 <=> doDivides0(xl,xm)),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f8126,plain,(
% 286.93/36.34 ~doDivides0(xl,xm)|spl0_506),
% 286.93/36.34 inference(component_clause,[status(thm)],[f8124])).
% 286.93/36.34 fof(f8127,plain,(
% 286.93/36.34 ~aNaturalNumber0(xl)|~aNaturalNumber0(xm)|xl=sz00|~doDivides0(xl,xm)|aNaturalNumber0(xp)),
% 286.93/36.34 inference(paramodulation,[status(thm)],[f145,f156])).
% 286.93/36.34 fof(f8128,plain,(
% 286.93/36.34 ~spl0_204|~spl0_24|spl0_205|~spl0_506|spl0_1),
% 286.93/36.34 inference(split_clause,[status(thm)],[f8127,f4972,f3046,f4975,f8124,f162])).
% 286.93/36.34 fof(f8129,plain,(
% 286.93/36.34 spl0_507 <=> xm=sdtasdt0(xl,xp)),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f8130,plain,(
% 286.93/36.34 xm=sdtasdt0(xl,xp)|~spl0_507),
% 286.93/36.34 inference(component_clause,[status(thm)],[f8129])).
% 286.93/36.34 fof(f8132,plain,(
% 286.93/36.34 ~aNaturalNumber0(xl)|~aNaturalNumber0(xm)|xl=sz00|~doDivides0(xl,xm)|xm=sdtasdt0(xl,xp)),
% 286.93/36.34 inference(paramodulation,[status(thm)],[f145,f157])).
% 286.93/36.34 fof(f8133,plain,(
% 286.93/36.34 ~spl0_204|~spl0_24|spl0_205|~spl0_506|spl0_507),
% 286.93/36.34 inference(split_clause,[status(thm)],[f8132,f4972,f3046,f4975,f8124,f8129])).
% 286.93/36.34 fof(f8144,plain,(
% 286.93/36.34 spl0_510 <=> doDivides0(xl,sdtpldt0(xm,xn))),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f8146,plain,(
% 286.93/36.34 ~doDivides0(xl,sdtpldt0(xm,xn))|spl0_510),
% 286.93/36.34 inference(component_clause,[status(thm)],[f8144])).
% 286.93/36.34 fof(f8147,plain,(
% 286.93/36.34 ~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))|xl=sz00|~doDivides0(xl,sdtpldt0(xm,xn))|aNaturalNumber0(xq)),
% 286.93/36.34 inference(paramodulation,[status(thm)],[f146,f156])).
% 286.93/36.34 fof(f8148,plain,(
% 286.93/36.34 ~spl0_204|~spl0_25|spl0_205|~spl0_510|spl0_0),
% 286.93/36.34 inference(split_clause,[status(thm)],[f8147,f4972,f3049,f4975,f8144,f159])).
% 286.93/36.34 fof(f8149,plain,(
% 286.93/36.34 spl0_511 <=> sdtpldt0(xm,xn)=sdtasdt0(xl,xq)),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f8150,plain,(
% 286.93/36.34 sdtpldt0(xm,xn)=sdtasdt0(xl,xq)|~spl0_511),
% 286.93/36.34 inference(component_clause,[status(thm)],[f8149])).
% 286.93/36.34 fof(f8152,plain,(
% 286.93/36.34 ~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))|xl=sz00|~doDivides0(xl,sdtpldt0(xm,xn))|sdtpldt0(xm,xn)=sdtasdt0(xl,xq)),
% 286.93/36.34 inference(paramodulation,[status(thm)],[f146,f157])).
% 286.93/36.34 fof(f8153,plain,(
% 286.93/36.34 ~spl0_204|~spl0_25|spl0_205|~spl0_510|spl0_511),
% 286.93/36.34 inference(split_clause,[status(thm)],[f8152,f4972,f3049,f4975,f8144,f8149])).
% 286.93/36.34 fof(f8154,plain,(
% 286.93/36.34 $false|spl0_510),
% 286.93/36.34 inference(forward_subsumption_resolution,[status(thm)],[f8146,f143])).
% 286.93/36.34 fof(f8155,plain,(
% 286.93/36.34 spl0_510),
% 286.93/36.34 inference(contradiction_clause,[status(thm)],[f8154])).
% 286.93/36.34 fof(f10063,plain,(
% 286.93/36.34 $false|spl0_506),
% 286.93/36.34 inference(forward_subsumption_resolution,[status(thm)],[f142,f8126])).
% 286.93/36.34 fof(f10064,plain,(
% 286.93/36.34 spl0_506),
% 286.93/36.34 inference(contradiction_clause,[status(thm)],[f10063])).
% 286.93/36.34 fof(f10097,plain,(
% 286.93/36.34 spl0_696 <=> ~aNaturalNumber0(X0)|X0=xp|~sdtlseqdt0(X0,xp)|sdtlseqdt0(sdtasdt0(xl,X0),xm)),
% 286.93/36.34 introduced(split_symbol_definition)).
% 286.93/36.34 fof(f10098,plain,(
% 286.93/36.34 ![X0]: (~aNaturalNumber0(X0)|X0=xp|~sdtlseqdt0(X0,xp)|sdtlseqdt0(sdtasdt0(xl,X0),xm)|~spl0_696)),
% 286.93/36.34 inference(component_clause,[status(thm)],[f10097])).
% 286.93/36.34 fof(f10100,plain,(
% 286.93/36.34 ![X0]: (~aNaturalNumber0(xl)|~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|xl=sz00|X0=xp|~sdtlseqdt0(X0,xp)|sdtlseqdt0(sdtasdt0(xl,X0),xm)|~spl0_507)),
% 286.93/36.34 inference(paramodulation,[status(thm)],[f8130,f111])).
% 286.93/36.34 fof(f10101,plain,(
% 286.93/36.34 ~spl0_204|spl0_696|~spl0_1|spl0_205|~spl0_507),
% 286.93/36.34 inference(split_clause,[status(thm)],[f10100,f4972,f10097,f162,f4975,f8129])).
% 286.93/36.34 fof(f12741,plain,(
% 286.93/36.34 ~aNaturalNumber0(xq)|xq=xp|~sdtlseqdt0(xq,xp)|sdtlseqdt0(sdtpldt0(xm,xn),xm)|~spl0_696|~spl0_511),
% 286.93/36.34 inference(paramodulation,[status(thm)],[f8150,f10098])).
% 287.35/36.37 fof(f12742,plain,(
% 287.35/36.37 ~spl0_0|spl0_217|~spl0_2|spl0_26|~spl0_696|~spl0_511),
% 287.35/36.37 inference(split_clause,[status(thm)],[f12741,f159,f5072,f165,f3054,f10097,f8149])).
% 287.35/36.37 fof(f12745,plain,(
% 287.35/36.37 $false),
% 287.35/36.37 inference(sat_refutation,[status(thm)],[f169,f3061,f3068,f3078,f3080,f4986,f4991,f5055,f5084,f6280,f8128,f8133,f8148,f8153,f8155,f10064,f10101,f12742])).
% 287.35/36.37 % SZS output end CNFRefutation for theBenchmark.p
% 287.95/36.47 % Elapsed time: 36.203049 seconds
% 287.95/36.47 % CPU time: 287.954124 seconds
% 287.95/36.47 % Total memory used: 589.949 MB
% 287.95/36.47 % Net memory used: 567.478 MB
%------------------------------------------------------------------------------