TSTP Solution File: NUM471+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM471+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 : Tue Apr 30 20:34:48 EDT 2024
% Result : Theorem 182.40s 23.29s
% Output : CNFRefutation 182.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM471+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:47:18 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 182.40/23.29 % Refutation found
% 182.40/23.29 % SZS status Theorem for theBenchmark: Theorem is valid
% 182.40/23.29 % SZS output start CNFRefutation for theBenchmark
% 182.40/23.29 fof(f4,axiom,(
% 182.40/23.29 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f5,axiom,(
% 182.40/23.29 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f15,axiom,(
% 182.40/23.29 (! [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 ) ) )) ) )),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f18,definition,(
% 182.40/23.29 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) )) ) )),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f20,axiom,(
% 182.40/23.29 (! [W0] :( aNaturalNumber0(W0)=> sdtlseqdt0(W0,W0) ) )),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f21,axiom,(
% 182.40/23.29 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f23,axiom,(
% 182.40/23.29 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)| ( W1 != W0& sdtlseqdt0(W1,W0) ) ) ) )),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f24,axiom,(
% 182.40/23.29 (! [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)) ) ) )) ) )),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f25,axiom,(
% 182.40/23.29 (! [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)) ) ) ) )),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f30,definition,(
% 182.40/23.29 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( doDivides0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) )) ) )),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f31,definition,(
% 182.40/23.29 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( W0 != sz00& doDivides0(W0,W1) )=> (! [W2] :( W2 = sdtsldt0(W1,W0)<=> ( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) ) )) ) )),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f34,hypothesis,(
% 182.40/23.29 ( aNaturalNumber0(xl)& aNaturalNumber0(xm)& aNaturalNumber0(xn) ) ),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f35,hypothesis,(
% 182.40/23.29 ( doDivides0(xl,xm)& doDivides0(xl,sdtpldt0(xm,xn)) ) ),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f36,hypothesis,(
% 182.40/23.29 xl != sz00 ),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f37,hypothesis,(
% 182.40/23.29 xp = sdtsldt0(xm,xl) ),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f38,hypothesis,(
% 182.40/23.29 xq = sdtsldt0(sdtpldt0(xm,xn),xl) ),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f39,conjecture,(
% 182.40/23.29 sdtlseqdt0(xp,xq) ),
% 182.40/23.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 182.40/23.29 fof(f40,negated_conjecture,(
% 182.40/23.29 ~(sdtlseqdt0(xp,xq) )),
% 182.40/23.29 inference(negated_conjecture,[status(cth)],[f39])).
% 182.40/23.29 fof(f47,plain,(
% 182.40/23.29 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 182.40/23.29 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 182.40/23.29 fof(f48,plain,(
% 182.40/23.29 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 182.40/23.29 inference(cnf_transformation,[status(esa)],[f47])).
% 182.40/23.29 fof(f49,plain,(
% 182.40/23.29 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 182.40/23.31 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 182.40/23.31 fof(f50,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f49])).
% 182.40/23.31 fof(f74,plain,(
% 182.40/23.31 ![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)))))),
% 182.40/23.31 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 182.40/23.31 fof(f75,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtasdt0(X0,X1)=sdtasdt0(X0,X2)|X1=X2)),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f74])).
% 182.40/23.31 fof(f82,plain,(
% 182.40/23.31 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))))),
% 182.40/23.31 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 182.40/23.31 fof(f83,plain,(
% 182.40/23.31 ![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)))))),
% 182.40/23.31 inference(NNF_transformation,[status(esa)],[f82])).
% 182.40/23.31 fof(f84,plain,(
% 182.40/23.31 ![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)))))),
% 182.40/23.31 inference(skolemization,[status(esa)],[f83])).
% 182.40/23.31 fof(f87,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X2)=X1)),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f84])).
% 182.40/23.31 fof(f94,plain,(
% 182.40/23.31 ![W0]: (~aNaturalNumber0(W0)|sdtlseqdt0(W0,W0))),
% 182.40/23.31 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 182.40/23.31 fof(f95,plain,(
% 182.40/23.31 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,X0))),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f94])).
% 182.40/23.31 fof(f96,plain,(
% 182.40/23.31 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 182.40/23.31 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 182.40/23.31 fof(f97,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f96])).
% 182.40/23.31 fof(f100,plain,(
% 182.40/23.31 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)|(~W1=W0&sdtlseqdt0(W1,W0))))),
% 182.40/23.31 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 182.40/23.31 fof(f102,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f100])).
% 182.40/23.31 fof(f103,plain,(
% 182.40/23.31 ![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)))))))),
% 182.40/23.31 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 182.40/23.31 fof(f105,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1)))),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f103])).
% 182.40/23.31 fof(f106,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X2)=sdtpldt0(X1,X2))),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f103])).
% 182.40/23.31 fof(f107,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)))),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f103])).
% 182.40/23.31 fof(f108,plain,(
% 182.40/23.31 ![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)))))),
% 182.40/23.31 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 182.40/23.31 fof(f110,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f108])).
% 182.40/23.31 fof(f112,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)))),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f108])).
% 182.40/23.31 fof(f122,plain,(
% 182.40/23.31 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(doDivides0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2)))))),
% 182.40/23.31 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 182.40/23.31 fof(f123,plain,(
% 182.40/23.31 ![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))))))),
% 182.40/23.31 inference(NNF_transformation,[status(esa)],[f122])).
% 182.40/23.31 fof(f124,plain,(
% 182.40/23.31 ![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))))))),
% 182.40/23.31 inference(skolemization,[status(esa)],[f123])).
% 182.40/23.31 fof(f125,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~doDivides0(X0,X1)|aNaturalNumber0(sk0_1(X1,X0)))),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f124])).
% 182.40/23.31 fof(f126,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~doDivides0(X0,X1)|X1=sdtasdt0(X0,sk0_1(X1,X0)))),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f124])).
% 182.40/23.31 fof(f127,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|doDivides0(X0,X1)|~aNaturalNumber0(X2)|~X1=sdtasdt0(X0,X2))),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f124])).
% 182.40/23.31 fof(f128,plain,(
% 182.40/23.31 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|(![W2]: (W2=sdtsldt0(W1,W0)<=>(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))))),
% 182.40/23.31 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 182.40/23.31 fof(f129,plain,(
% 182.40/23.31 ![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)))))))),
% 182.40/23.31 inference(NNF_transformation,[status(esa)],[f128])).
% 182.40/23.31 fof(f130,plain,(
% 182.40/23.31 ![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)))))))),
% 182.40/23.31 inference(miniscoping,[status(esa)],[f129])).
% 182.40/23.31 fof(f131,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|~X2=sdtsldt0(X1,X0)|aNaturalNumber0(X2))),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f130])).
% 182.40/23.31 fof(f132,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|~X2=sdtsldt0(X1,X0)|X1=sdtasdt0(X0,X2))),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f130])).
% 182.40/23.31 fof(f138,plain,(
% 182.40/23.31 aNaturalNumber0(xl)),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f34])).
% 182.40/23.31 fof(f139,plain,(
% 182.40/23.31 aNaturalNumber0(xm)),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f34])).
% 182.40/23.31 fof(f140,plain,(
% 182.40/23.31 aNaturalNumber0(xn)),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f34])).
% 182.40/23.31 fof(f141,plain,(
% 182.40/23.31 doDivides0(xl,xm)),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f35])).
% 182.40/23.31 fof(f142,plain,(
% 182.40/23.31 doDivides0(xl,sdtpldt0(xm,xn))),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f35])).
% 182.40/23.31 fof(f143,plain,(
% 182.40/23.31 ~xl=sz00),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f36])).
% 182.40/23.31 fof(f144,plain,(
% 182.40/23.31 xp=sdtsldt0(xm,xl)),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f37])).
% 182.40/23.31 fof(f145,plain,(
% 182.40/23.31 xq=sdtsldt0(sdtpldt0(xm,xn),xl)),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f38])).
% 182.40/23.31 fof(f146,plain,(
% 182.40/23.31 ~sdtlseqdt0(xp,xq)),
% 182.40/23.31 inference(cnf_transformation,[status(esa)],[f40])).
% 182.40/23.31 fof(f147,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(X0,X1))|sdtlseqdt0(X0,sdtpldt0(X0,X1))|~aNaturalNumber0(X1))),
% 182.40/23.31 inference(destructive_equality_resolution,[status(esa)],[f87])).
% 182.40/23.31 fof(f153,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|doDivides0(X0,sdtasdt0(X0,X1))|~aNaturalNumber0(X1))),
% 182.40/23.31 inference(destructive_equality_resolution,[status(esa)],[f127])).
% 182.40/23.31 fof(f154,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|aNaturalNumber0(sdtsldt0(X1,X0)))),
% 182.40/23.31 inference(destructive_equality_resolution,[status(esa)],[f131])).
% 182.40/23.31 fof(f155,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|X1=sdtasdt0(X0,sdtsldt0(X1,X0)))),
% 182.40/23.31 inference(destructive_equality_resolution,[status(esa)],[f132])).
% 182.40/23.31 fof(f157,plain,(
% 182.40/23.31 spl0_0 <=> aNaturalNumber0(xq)),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.31 fof(f160,plain,(
% 182.40/23.31 spl0_1 <=> aNaturalNumber0(xp)),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.31 fof(f163,plain,(
% 182.40/23.31 spl0_2 <=> sdtlseqdt0(xq,xp)),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.31 fof(f166,plain,(
% 182.40/23.31 ~aNaturalNumber0(xq)|~aNaturalNumber0(xp)|sdtlseqdt0(xq,xp)),
% 182.40/23.31 inference(resolution,[status(thm)],[f102,f146])).
% 182.40/23.31 fof(f167,plain,(
% 182.40/23.31 ~spl0_0|~spl0_1|spl0_2),
% 182.40/23.31 inference(split_clause,[status(thm)],[f166,f157,f160,f163])).
% 182.40/23.31 fof(f168,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(X0,X1))|~aNaturalNumber0(X0)|~sdtlseqdt0(sdtpldt0(X0,X1),X0)|sdtpldt0(X0,X1)=X0|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(X0,X1))|~aNaturalNumber0(X1))),
% 182.40/23.31 inference(resolution,[status(thm)],[f97,f147])).
% 182.40/23.31 fof(f169,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(X0,X1))|~aNaturalNumber0(X0)|~sdtlseqdt0(sdtpldt0(X0,X1),X0)|sdtpldt0(X0,X1)=X0|~aNaturalNumber0(X1))),
% 182.40/23.31 inference(duplicate_literals_removal,[status(esa)],[f168])).
% 182.40/23.31 fof(f227,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(sdtpldt0(X0,X2))|~sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X0,X2))|sdtpldt0(X1,X2)=sdtpldt0(X0,X2))),
% 182.40/23.31 inference(resolution,[status(thm)],[f107,f97])).
% 182.40/23.31 fof(f228,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(sdtpldt0(X0,X2))|~sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X0,X2)))),
% 182.40/23.31 inference(forward_subsumption_resolution,[status(thm)],[f227,f106])).
% 182.40/23.31 fof(f289,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|~sdtlseqdt0(sdtpldt0(X0,X1),X0)|sdtpldt0(X0,X1)=X0|~aNaturalNumber0(X1))),
% 182.40/23.31 inference(backward_subsumption_resolution,[status(thm)],[f169,f48])).
% 182.40/23.31 fof(f470,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtpldt0(X1,X2))|~sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X0,X2)))),
% 182.40/23.31 inference(forward_subsumption_resolution,[status(thm)],[f228,f48])).
% 182.40/23.31 fof(f2971,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|doDivides0(X0,sdtasdt0(X0,X1))|~aNaturalNumber0(X1))),
% 182.40/23.31 inference(forward_subsumption_resolution,[status(thm)],[f153,f50])).
% 182.40/23.31 fof(f2972,plain,(
% 182.40/23.31 spl0_135 <=> aNaturalNumber0(xl)),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.31 fof(f2974,plain,(
% 182.40/23.31 ~aNaturalNumber0(xl)|spl0_135),
% 182.40/23.31 inference(component_clause,[status(thm)],[f2972])).
% 182.40/23.31 fof(f2975,plain,(
% 182.40/23.31 spl0_136 <=> aNaturalNumber0(sdtpldt0(xm,xn))),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.31 fof(f2977,plain,(
% 182.40/23.31 ~aNaturalNumber0(sdtpldt0(xm,xn))|spl0_136),
% 182.40/23.31 inference(component_clause,[status(thm)],[f2975])).
% 182.40/23.31 fof(f2978,plain,(
% 182.40/23.31 spl0_137 <=> xl=sz00),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.31 fof(f2979,plain,(
% 182.40/23.31 xl=sz00|~spl0_137),
% 182.40/23.31 inference(component_clause,[status(thm)],[f2978])).
% 182.40/23.31 fof(f2981,plain,(
% 182.40/23.31 spl0_138 <=> doDivides0(xl,sdtpldt0(xm,xn))),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.31 fof(f2983,plain,(
% 182.40/23.31 ~doDivides0(xl,sdtpldt0(xm,xn))|spl0_138),
% 182.40/23.31 inference(component_clause,[status(thm)],[f2981])).
% 182.40/23.31 fof(f2984,plain,(
% 182.40/23.31 ~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))|xl=sz00|~doDivides0(xl,sdtpldt0(xm,xn))|aNaturalNumber0(xq)),
% 182.40/23.31 inference(paramodulation,[status(thm)],[f145,f154])).
% 182.40/23.31 fof(f2985,plain,(
% 182.40/23.31 ~spl0_135|~spl0_136|spl0_137|~spl0_138|spl0_0),
% 182.40/23.31 inference(split_clause,[status(thm)],[f2984,f2972,f2975,f2978,f2981,f157])).
% 182.40/23.31 fof(f2986,plain,(
% 182.40/23.31 spl0_139 <=> aNaturalNumber0(xm)),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.31 fof(f2988,plain,(
% 182.40/23.31 ~aNaturalNumber0(xm)|spl0_139),
% 182.40/23.31 inference(component_clause,[status(thm)],[f2986])).
% 182.40/23.31 fof(f2989,plain,(
% 182.40/23.31 spl0_140 <=> doDivides0(xl,xm)),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.31 fof(f2991,plain,(
% 182.40/23.31 ~doDivides0(xl,xm)|spl0_140),
% 182.40/23.31 inference(component_clause,[status(thm)],[f2989])).
% 182.40/23.31 fof(f2992,plain,(
% 182.40/23.31 ~aNaturalNumber0(xl)|~aNaturalNumber0(xm)|xl=sz00|~doDivides0(xl,xm)|aNaturalNumber0(xp)),
% 182.40/23.31 inference(paramodulation,[status(thm)],[f144,f154])).
% 182.40/23.31 fof(f2993,plain,(
% 182.40/23.31 ~spl0_135|~spl0_139|spl0_137|~spl0_140|spl0_1),
% 182.40/23.31 inference(split_clause,[status(thm)],[f2992,f2972,f2986,f2978,f2989,f160])).
% 182.40/23.31 fof(f2994,plain,(
% 182.40/23.31 $false|spl0_140),
% 182.40/23.31 inference(forward_subsumption_resolution,[status(thm)],[f2991,f141])).
% 182.40/23.31 fof(f2995,plain,(
% 182.40/23.31 spl0_140),
% 182.40/23.31 inference(contradiction_clause,[status(thm)],[f2994])).
% 182.40/23.31 fof(f2996,plain,(
% 182.40/23.31 $false|spl0_139),
% 182.40/23.31 inference(forward_subsumption_resolution,[status(thm)],[f2988,f139])).
% 182.40/23.31 fof(f2997,plain,(
% 182.40/23.31 spl0_139),
% 182.40/23.31 inference(contradiction_clause,[status(thm)],[f2996])).
% 182.40/23.31 fof(f2998,plain,(
% 182.40/23.31 $false|spl0_138),
% 182.40/23.31 inference(forward_subsumption_resolution,[status(thm)],[f2983,f142])).
% 182.40/23.31 fof(f2999,plain,(
% 182.40/23.31 spl0_138),
% 182.40/23.31 inference(contradiction_clause,[status(thm)],[f2998])).
% 182.40/23.31 fof(f3000,plain,(
% 182.40/23.31 $false|spl0_135),
% 182.40/23.31 inference(forward_subsumption_resolution,[status(thm)],[f2974,f138])).
% 182.40/23.31 fof(f3001,plain,(
% 182.40/23.31 spl0_135),
% 182.40/23.31 inference(contradiction_clause,[status(thm)],[f3000])).
% 182.40/23.31 fof(f3007,plain,(
% 182.40/23.31 spl0_142 <=> sdtpldt0(xm,xn)=sdtasdt0(xl,xq)),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.31 fof(f3008,plain,(
% 182.40/23.31 sdtpldt0(xm,xn)=sdtasdt0(xl,xq)|~spl0_142),
% 182.40/23.31 inference(component_clause,[status(thm)],[f3007])).
% 182.40/23.31 fof(f3010,plain,(
% 182.40/23.31 ~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))|xl=sz00|~doDivides0(xl,sdtpldt0(xm,xn))|sdtpldt0(xm,xn)=sdtasdt0(xl,xq)),
% 182.40/23.31 inference(paramodulation,[status(thm)],[f145,f155])).
% 182.40/23.31 fof(f3011,plain,(
% 182.40/23.31 ~spl0_135|~spl0_136|spl0_137|~spl0_138|spl0_142),
% 182.40/23.31 inference(split_clause,[status(thm)],[f3010,f2972,f2975,f2978,f2981,f3007])).
% 182.40/23.31 fof(f3012,plain,(
% 182.40/23.31 spl0_143 <=> xm=sdtasdt0(xl,xp)),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.31 fof(f3013,plain,(
% 182.40/23.31 xm=sdtasdt0(xl,xp)|~spl0_143),
% 182.40/23.31 inference(component_clause,[status(thm)],[f3012])).
% 182.40/23.31 fof(f3015,plain,(
% 182.40/23.31 ~aNaturalNumber0(xl)|~aNaturalNumber0(xm)|xl=sz00|~doDivides0(xl,xm)|xm=sdtasdt0(xl,xp)),
% 182.40/23.31 inference(paramodulation,[status(thm)],[f144,f155])).
% 182.40/23.31 fof(f3016,plain,(
% 182.40/23.31 ~spl0_135|~spl0_139|spl0_137|~spl0_140|spl0_143),
% 182.40/23.31 inference(split_clause,[status(thm)],[f3015,f2972,f2986,f2978,f2989,f3012])).
% 182.40/23.31 fof(f3017,plain,(
% 182.40/23.31 $false|~spl0_137),
% 182.40/23.31 inference(forward_subsumption_resolution,[status(thm)],[f2979,f143])).
% 182.40/23.31 fof(f3018,plain,(
% 182.40/23.31 ~spl0_137),
% 182.40/23.31 inference(contradiction_clause,[status(thm)],[f3017])).
% 182.40/23.31 fof(f3044,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(sk0_1(sdtasdt0(X0,X1),X0))|X1=sk0_1(sdtasdt0(X0,X1),X0)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|~doDivides0(X0,sdtasdt0(X0,X1)))),
% 182.40/23.31 inference(resolution,[status(thm)],[f75,f126])).
% 182.40/23.31 fof(f3045,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(sk0_1(sdtasdt0(X0,X1),X0))|X1=sk0_1(sdtasdt0(X0,X1),X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|~doDivides0(X0,sdtasdt0(X0,X1)))),
% 182.40/23.31 inference(duplicate_literals_removal,[status(esa)],[f3044])).
% 182.40/23.31 fof(f3046,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|X1=sk0_1(sdtasdt0(X0,X1),X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|~doDivides0(X0,sdtasdt0(X0,X1)))),
% 182.40/23.31 inference(forward_subsumption_resolution,[status(thm)],[f3045,f125])).
% 182.40/23.31 fof(f3091,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X0,X2))|~aNaturalNumber0(sdtasdt0(X0,X1))|~sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))|sdtasdt0(X0,X2)=sdtasdt0(X0,X1))),
% 182.40/23.31 inference(resolution,[status(thm)],[f110,f97])).
% 182.40/23.31 fof(f3092,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X0,X2))|~sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))|sdtasdt0(X0,X2)=sdtasdt0(X0,X1))),
% 182.40/23.31 inference(forward_subsumption_resolution,[status(thm)],[f3091,f50])).
% 182.40/23.31 fof(f3748,plain,(
% 182.40/23.31 spl0_191 <=> aNaturalNumber0(xn)),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.31 fof(f3750,plain,(
% 182.40/23.31 ~aNaturalNumber0(xn)|spl0_191),
% 182.40/23.31 inference(component_clause,[status(thm)],[f3748])).
% 182.40/23.31 fof(f3751,plain,(
% 182.40/23.31 ~aNaturalNumber0(xm)|~aNaturalNumber0(xn)|spl0_136),
% 182.40/23.31 inference(resolution,[status(thm)],[f48,f2977])).
% 182.40/23.31 fof(f3752,plain,(
% 182.40/23.31 ~spl0_139|~spl0_191|spl0_136),
% 182.40/23.31 inference(split_clause,[status(thm)],[f3751,f2986,f3748,f2975])).
% 182.40/23.31 fof(f3753,plain,(
% 182.40/23.31 $false|spl0_191),
% 182.40/23.31 inference(forward_subsumption_resolution,[status(thm)],[f3750,f140])).
% 182.40/23.31 fof(f3754,plain,(
% 182.40/23.31 spl0_191),
% 182.40/23.31 inference(contradiction_clause,[status(thm)],[f3753])).
% 182.40/23.31 fof(f3862,plain,(
% 182.40/23.31 spl0_203 <=> xp=xq),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.31 fof(f3863,plain,(
% 182.40/23.31 xp=xq|~spl0_203),
% 182.40/23.31 inference(component_clause,[status(thm)],[f3862])).
% 182.40/23.31 fof(f3864,plain,(
% 182.40/23.31 ~xp=xq|spl0_203),
% 182.40/23.31 inference(component_clause,[status(thm)],[f3862])).
% 182.40/23.31 fof(f4009,plain,(
% 182.40/23.31 spl0_221 <=> ~aNaturalNumber0(X0)|xq=X0|~sdtlseqdt0(xq,X0)|sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(xl,X0))),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.31 fof(f4010,plain,(
% 182.40/23.31 ![X0]: (~aNaturalNumber0(X0)|xq=X0|~sdtlseqdt0(xq,X0)|sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(xl,X0))|~spl0_221)),
% 182.40/23.31 inference(component_clause,[status(thm)],[f4009])).
% 182.40/23.31 fof(f4012,plain,(
% 182.40/23.31 ![X0]: (~aNaturalNumber0(xl)|~aNaturalNumber0(xq)|~aNaturalNumber0(X0)|xl=sz00|xq=X0|~sdtlseqdt0(xq,X0)|sdtlseqdt0(sdtpldt0(xm,xn),sdtasdt0(xl,X0))|~spl0_142)),
% 182.40/23.31 inference(paramodulation,[status(thm)],[f3008,f110])).
% 182.40/23.31 fof(f4013,plain,(
% 182.40/23.31 ~spl0_135|~spl0_0|spl0_221|spl0_137|~spl0_142),
% 182.40/23.31 inference(split_clause,[status(thm)],[f4012,f2972,f157,f4009,f2978,f3007])).
% 182.40/23.31 fof(f4571,plain,(
% 182.40/23.31 ~sdtlseqdt0(xp,xp)|~spl0_203),
% 182.40/23.31 inference(backward_demodulation,[status(thm)],[f3863,f146])).
% 182.40/23.31 fof(f4642,plain,(
% 182.40/23.31 ~aNaturalNumber0(xp)|~spl0_203),
% 182.40/23.31 inference(resolution,[status(thm)],[f4571,f95])).
% 182.40/23.31 fof(f4643,plain,(
% 182.40/23.31 ~spl0_1|~spl0_203),
% 182.40/23.31 inference(split_clause,[status(thm)],[f4642,f160,f3862])).
% 182.40/23.31 fof(f5358,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))|sdtasdt0(X0,X2)=sdtasdt0(X0,X1))),
% 182.40/23.31 inference(forward_subsumption_resolution,[status(thm)],[f3092,f50])).
% 182.40/23.31 fof(f5493,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1)))),
% 182.40/23.31 inference(backward_subsumption_resolution,[status(thm)],[f5358,f75])).
% 182.40/23.31 fof(f6225,plain,(
% 182.40/23.31 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X0,X2)))),
% 182.40/23.31 inference(forward_subsumption_resolution,[status(thm)],[f470,f48])).
% 182.40/23.31 fof(f6226,plain,(
% 182.40/23.31 spl0_355 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|X0=X0|~sdtlseqdt0(X0,X0)|~aNaturalNumber0(X0)),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.31 fof(f6229,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|X0=X0|~sdtlseqdt0(X0,X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X1=X1|~sdtlseqdt0(X1,X1)|~aNaturalNumber0(X0))),
% 182.40/23.31 inference(resolution,[status(thm)],[f6225,f105])).
% 182.40/23.31 fof(f6230,plain,(
% 182.40/23.31 spl0_355),
% 182.40/23.31 inference(split_clause,[status(thm)],[f6229,f6226])).
% 182.40/23.31 fof(f6321,plain,(
% 182.40/23.31 spl0_361 <=> ~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|X0=X0|~sdtlseqdt0(X0,X0)),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.31 fof(f6324,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X0=sz00|X1=X1|~sdtlseqdt0(X1,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|X1=sz00|X0=X0|~sdtlseqdt0(X0,X0))),
% 182.40/23.31 inference(resolution,[status(thm)],[f5493,f112])).
% 182.40/23.31 fof(f6325,plain,(
% 182.40/23.31 spl0_361),
% 182.40/23.31 inference(split_clause,[status(thm)],[f6324,f6321])).
% 182.40/23.31 fof(f6979,plain,(
% 182.40/23.31 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|X1=sk0_1(sdtasdt0(X0,X1),X0)|~doDivides0(X0,sdtasdt0(X0,X1)))),
% 182.40/23.31 inference(forward_subsumption_resolution,[status(thm)],[f3046,f50])).
% 182.40/23.31 fof(f8641,plain,(
% 182.40/23.31 spl0_548 <=> xq=sk0_1(sdtpldt0(xm,xn),xl)),
% 182.40/23.31 introduced(split_symbol_definition)).
% 182.40/23.33 fof(f8642,plain,(
% 182.40/23.33 xq=sk0_1(sdtpldt0(xm,xn),xl)|~spl0_548),
% 182.40/23.33 inference(component_clause,[status(thm)],[f8641])).
% 182.40/23.33 fof(f9979,plain,(
% 182.40/23.33 spl0_611 <=> xp=sk0_1(xm,xl)),
% 182.40/23.33 introduced(split_symbol_definition)).
% 182.40/23.33 fof(f9980,plain,(
% 182.40/23.33 xp=sk0_1(xm,xl)|~spl0_611),
% 182.40/23.33 inference(component_clause,[status(thm)],[f9979])).
% 182.40/23.33 fof(f11651,plain,(
% 182.40/23.33 spl0_723 <=> sdtpldt0(xm,xn)=xm),
% 182.40/23.33 introduced(split_symbol_definition)).
% 182.40/23.33 fof(f11652,plain,(
% 182.40/23.33 sdtpldt0(xm,xn)=xm|~spl0_723),
% 182.40/23.33 inference(component_clause,[status(thm)],[f11651])).
% 182.40/23.33 fof(f13928,plain,(
% 182.40/23.33 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|X1=sk0_1(sdtasdt0(X0,X1),X0))),
% 182.40/23.33 inference(forward_subsumption_resolution,[status(thm)],[f6979,f2971])).
% 182.40/23.33 fof(f13929,plain,(
% 182.40/23.33 ~aNaturalNumber0(xl)|xl=sz00|~aNaturalNumber0(xq)|xq=sk0_1(sdtpldt0(xm,xn),xl)|~spl0_142),
% 182.40/23.33 inference(paramodulation,[status(thm)],[f3008,f13928])).
% 182.40/23.33 fof(f13930,plain,(
% 182.40/23.33 ~spl0_135|spl0_137|~spl0_0|spl0_548|~spl0_142),
% 182.40/23.33 inference(split_clause,[status(thm)],[f13929,f2972,f2978,f157,f8641,f3007])).
% 182.40/23.33 fof(f13931,plain,(
% 182.40/23.33 ~aNaturalNumber0(xl)|xl=sz00|~aNaturalNumber0(xp)|xp=sk0_1(xm,xl)|~spl0_143),
% 182.40/23.33 inference(paramodulation,[status(thm)],[f3013,f13928])).
% 182.40/23.33 fof(f13932,plain,(
% 182.40/23.33 ~spl0_135|spl0_137|~spl0_1|spl0_611|~spl0_143),
% 182.40/23.33 inference(split_clause,[status(thm)],[f13931,f2972,f2978,f160,f9979,f3012])).
% 182.40/23.33 fof(f14290,plain,(
% 182.40/23.33 spl0_894 <=> sdtlseqdt0(sdtpldt0(xm,xn),xm)),
% 182.40/23.33 introduced(split_symbol_definition)).
% 182.40/23.33 fof(f14291,plain,(
% 182.40/23.33 sdtlseqdt0(sdtpldt0(xm,xn),xm)|~spl0_894),
% 182.40/23.33 inference(component_clause,[status(thm)],[f14290])).
% 182.40/23.33 fof(f14308,plain,(
% 182.40/23.33 ~aNaturalNumber0(xm)|sdtpldt0(xm,xn)=xm|~aNaturalNumber0(xn)|~spl0_894),
% 182.40/23.33 inference(resolution,[status(thm)],[f14291,f289])).
% 182.40/23.33 fof(f14309,plain,(
% 182.40/23.33 ~spl0_139|spl0_723|~spl0_191|~spl0_894),
% 182.40/23.33 inference(split_clause,[status(thm)],[f14308,f2986,f11651,f3748,f14290])).
% 182.40/23.33 fof(f22249,plain,(
% 182.40/23.33 ~aNaturalNumber0(xp)|xq=xp|~sdtlseqdt0(xq,xp)|sdtlseqdt0(sdtpldt0(xm,xn),xm)|~spl0_221|~spl0_143),
% 182.40/23.33 inference(paramodulation,[status(thm)],[f3013,f4010])).
% 182.40/23.33 fof(f22250,plain,(
% 182.40/23.33 ~spl0_1|spl0_203|~spl0_2|spl0_894|~spl0_221|~spl0_143),
% 182.40/23.33 inference(split_clause,[status(thm)],[f22249,f160,f3862,f163,f14290,f4009,f3012])).
% 182.40/23.33 fof(f22255,plain,(
% 182.40/23.33 xq=sk0_1(xm,xl)|~spl0_723|~spl0_548),
% 182.40/23.33 inference(backward_demodulation,[status(thm)],[f11652,f8642])).
% 182.40/23.33 fof(f22256,plain,(
% 182.40/23.33 xq=xp|~spl0_611|~spl0_723|~spl0_548),
% 182.40/23.33 inference(forward_demodulation,[status(thm)],[f9980,f22255])).
% 182.40/23.33 fof(f22257,plain,(
% 182.40/23.33 $false|spl0_203|~spl0_611|~spl0_723|~spl0_548),
% 182.40/23.33 inference(forward_subsumption_resolution,[status(thm)],[f22256,f3864])).
% 182.40/23.33 fof(f22258,plain,(
% 182.40/23.33 spl0_203|~spl0_611|~spl0_723|~spl0_548),
% 182.40/23.33 inference(contradiction_clause,[status(thm)],[f22257])).
% 182.40/23.33 fof(f22259,plain,(
% 182.40/23.33 $false),
% 182.40/23.33 inference(sat_refutation,[status(thm)],[f167,f2985,f2993,f2995,f2997,f2999,f3001,f3011,f3016,f3018,f3752,f3754,f4013,f4643,f6230,f6325,f13930,f13932,f14309,f22250,f22258])).
% 182.40/23.33 % SZS output end CNFRefutation for theBenchmark.p
% 183.08/23.39 % Elapsed time: 23.029053 seconds
% 183.08/23.39 % CPU time: 183.014465 seconds
% 183.08/23.39 % Total memory used: 464.441 MB
% 183.08/23.39 % Net memory used: 444.351 MB
%------------------------------------------------------------------------------