TSTP Solution File: NUM505+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM505+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:29:26 EDT 2023
% Result : Theorem 66.71s 8.78s
% Output : CNFRefutation 67.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM505+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 09:58:55 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 66.71/8.78 % Refutation found
% 66.71/8.78 % SZS status Theorem for theBenchmark: Theorem is valid
% 66.71/8.78 % SZS output start CNFRefutation for theBenchmark
% 66.71/8.78 fof(f2,axiom,(
% 66.71/8.78 aNaturalNumber0(sz00) ),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f3,axiom,(
% 66.71/8.78 ( aNaturalNumber0(sz10)& sz10 != sz00 ) ),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f4,axiom,(
% 66.71/8.78 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f5,axiom,(
% 66.71/8.78 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f8,axiom,(
% 66.71/8.78 (! [W0] :( aNaturalNumber0(W0)=> ( sdtpldt0(W0,sz00) = W0& W0 = sdtpldt0(sz00,W0) ) ) )),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f11,axiom,(
% 66.71/8.78 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz10) = W0& W0 = sdtasdt0(sz10,W0) ) ) )),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f12,axiom,(
% 66.71/8.78 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f20,axiom,(
% 66.71/8.78 (! [W0] :( aNaturalNumber0(W0)=> sdtlseqdt0(W0,W0) ) )),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f23,axiom,(
% 66.71/8.78 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)| ( W1 != W0& sdtlseqdt0(W1,W0) ) ) ) )),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f31,definition,(
% 66.71/8.78 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( W0 != sz00& doDivides0(W0,W1) )=> (! [W2] :( W2 = sdtsldt0(W1,W0)<=> ( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) ) )) ) )),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f37,definition,(
% 66.71/8.78 (! [W0] :( aNaturalNumber0(W0)=> ( isPrime0(W0)<=> ( W0 != sz00& W0 != sz10& (! [W1] :( ( aNaturalNumber0(W1)& doDivides0(W1,W0) )=> ( W1 = sz10| W1 = W0 ) ) )) ) ) )),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f39,hypothesis,(
% 66.71/8.78 ( aNaturalNumber0(xn)& aNaturalNumber0(xm)& aNaturalNumber0(xp) ) ),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f41,hypothesis,(
% 66.71/8.78 ( isPrime0(xp)& doDivides0(xp,sdtasdt0(xn,xm)) ) ),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f44,hypothesis,(
% 66.71/8.78 ( xn != xp& sdtlseqdt0(xn,xp)& xm != xp& sdtlseqdt0(xm,xp) ) ),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f45,hypothesis,(
% 66.71/8.78 xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f46,hypothesis,(
% 66.71/8.78 ~ ( xk = sz00| xk = sz10 ) ),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f48,hypothesis,(
% 66.71/8.78 ( aNaturalNumber0(xr)& doDivides0(xr,xk)& isPrime0(xr) ) ),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f49,hypothesis,(
% 66.71/8.78 ( sdtlseqdt0(xr,xk)& doDivides0(xr,sdtasdt0(xn,xm)) ) ),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f50,conjecture,(
% 66.71/8.78 ( ~ sdtlseqdt0(xp,xk)=> ( xk != xp& sdtlseqdt0(xk,xp) ) ) ),
% 66.71/8.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.71/8.78 fof(f51,negated_conjecture,(
% 66.71/8.78 ~(( ~ sdtlseqdt0(xp,xk)=> ( xk != xp& sdtlseqdt0(xk,xp) ) ) )),
% 66.71/8.78 inference(negated_conjecture,[status(cth)],[f50])).
% 66.71/8.78 fof(f55,plain,(
% 66.71/8.78 aNaturalNumber0(sz00)),
% 66.71/8.78 inference(cnf_transformation,[status(esa)],[f2])).
% 66.71/8.78 fof(f56,plain,(
% 66.71/8.78 aNaturalNumber0(sz10)),
% 66.71/8.78 inference(cnf_transformation,[status(esa)],[f3])).
% 66.71/8.78 fof(f58,plain,(
% 66.71/8.78 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 66.71/8.78 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 66.71/8.78 fof(f59,plain,(
% 66.71/8.78 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 66.71/8.78 inference(cnf_transformation,[status(esa)],[f58])).
% 66.71/8.78 fof(f60,plain,(
% 66.71/8.78 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 66.71/8.78 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 66.71/8.78 fof(f61,plain,(
% 66.71/8.78 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f60])).
% 66.71/8.79 fof(f66,plain,(
% 66.71/8.79 ![W0]: (~aNaturalNumber0(W0)|(sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)))),
% 66.71/8.79 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 66.71/8.79 fof(f67,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(X0,sz00)=X0)),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f66])).
% 66.71/8.79 fof(f68,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|X0=sdtpldt0(sz00,X0))),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f66])).
% 66.71/8.79 fof(f73,plain,(
% 66.71/8.79 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),
% 66.71/8.79 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 66.71/8.79 fof(f74,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz10)=X0)),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f73])).
% 66.71/8.79 fof(f75,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|X0=sdtasdt0(sz10,X0))),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f73])).
% 66.71/8.79 fof(f76,plain,(
% 66.71/8.79 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 66.71/8.79 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 66.71/8.79 fof(f77,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz00)=sz00)),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f76])).
% 66.71/8.79 fof(f105,plain,(
% 66.71/8.79 ![W0]: (~aNaturalNumber0(W0)|sdtlseqdt0(W0,W0))),
% 66.71/8.79 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 66.71/8.79 fof(f106,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,X0))),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f105])).
% 66.71/8.79 fof(f111,plain,(
% 66.71/8.79 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)|(~W1=W0&sdtlseqdt0(W1,W0))))),
% 66.71/8.79 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 66.71/8.79 fof(f113,plain,(
% 66.71/8.79 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f111])).
% 66.71/8.79 fof(f139,plain,(
% 66.71/8.79 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|(![W2]: (W2=sdtsldt0(W1,W0)<=>(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))))),
% 66.71/8.79 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 66.71/8.79 fof(f140,plain,(
% 66.71/8.79 ![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)))))))),
% 66.71/8.79 inference(NNF_transformation,[status(esa)],[f139])).
% 66.71/8.79 fof(f141,plain,(
% 66.71/8.79 ![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)))))))),
% 66.71/8.79 inference(miniscoping,[status(esa)],[f140])).
% 66.71/8.79 fof(f142,plain,(
% 66.71/8.79 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|~X2=sdtsldt0(X1,X0)|aNaturalNumber0(X2))),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f141])).
% 66.71/8.79 fof(f155,plain,(
% 66.71/8.79 ![W0]: (~aNaturalNumber0(W0)|(isPrime0(W0)<=>((~W0=sz00&~W0=sz10)&(![W1]: ((~aNaturalNumber0(W1)|~doDivides0(W1,W0))|(W1=sz10|W1=W0))))))),
% 66.71/8.79 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 66.71/8.79 fof(f156,plain,(
% 66.71/8.79 ![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)))))))),
% 66.71/8.79 inference(NNF_transformation,[status(esa)],[f155])).
% 66.71/8.79 fof(f157,plain,(
% 66.71/8.79 ![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))))))),
% 66.71/8.79 inference(skolemization,[status(esa)],[f156])).
% 66.71/8.79 fof(f158,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~isPrime0(X0)|~X0=sz00)),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f157])).
% 66.71/8.79 fof(f159,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~isPrime0(X0)|~X0=sz10)),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f157])).
% 66.71/8.79 fof(f170,plain,(
% 66.71/8.79 aNaturalNumber0(xn)),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f39])).
% 66.71/8.79 fof(f171,plain,(
% 66.71/8.79 aNaturalNumber0(xm)),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f39])).
% 66.71/8.79 fof(f172,plain,(
% 66.71/8.79 aNaturalNumber0(xp)),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f39])).
% 66.71/8.79 fof(f175,plain,(
% 66.71/8.79 isPrime0(xp)),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f41])).
% 66.71/8.79 fof(f176,plain,(
% 66.71/8.79 doDivides0(xp,sdtasdt0(xn,xm))),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f41])).
% 66.71/8.79 fof(f179,plain,(
% 66.71/8.79 ~xn=xp),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f44])).
% 66.71/8.79 fof(f181,plain,(
% 66.71/8.79 ~xm=xp),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f44])).
% 66.71/8.79 fof(f183,plain,(
% 66.71/8.79 xk=sdtsldt0(sdtasdt0(xn,xm),xp)),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f45])).
% 66.71/8.79 fof(f184,plain,(
% 66.71/8.79 (~xk=sz00&~xk=sz10)),
% 66.71/8.79 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 66.71/8.79 fof(f185,plain,(
% 66.71/8.79 ~xk=sz00),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f184])).
% 66.71/8.79 fof(f186,plain,(
% 66.71/8.79 ~xk=sz10),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f184])).
% 66.71/8.79 fof(f189,plain,(
% 66.71/8.79 aNaturalNumber0(xr)),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f48])).
% 66.71/8.79 fof(f191,plain,(
% 66.71/8.79 isPrime0(xr)),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f48])).
% 66.71/8.79 fof(f192,plain,(
% 66.71/8.79 sdtlseqdt0(xr,xk)),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f49])).
% 66.71/8.79 fof(f194,plain,(
% 66.71/8.79 (~sdtlseqdt0(xp,xk)&(xk=xp|~sdtlseqdt0(xk,xp)))),
% 66.71/8.79 inference(pre_NNF_transformation,[status(esa)],[f51])).
% 66.71/8.79 fof(f195,plain,(
% 66.71/8.79 ~sdtlseqdt0(xp,xk)),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f194])).
% 66.71/8.79 fof(f196,plain,(
% 66.71/8.79 xk=xp|~sdtlseqdt0(xk,xp)),
% 66.71/8.79 inference(cnf_transformation,[status(esa)],[f194])).
% 66.71/8.79 fof(f197,plain,(
% 66.71/8.79 spl0_0 <=> xk=xp),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f198,plain,(
% 66.71/8.79 xk=xp|~spl0_0),
% 66.71/8.79 inference(component_clause,[status(thm)],[f197])).
% 66.71/8.79 fof(f200,plain,(
% 66.71/8.79 spl0_1 <=> sdtlseqdt0(xk,xp)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f203,plain,(
% 66.71/8.79 spl0_0|~spl0_1),
% 66.71/8.79 inference(split_clause,[status(thm)],[f196,f197,f200])).
% 66.71/8.79 fof(f211,plain,(
% 66.71/8.79 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|aNaturalNumber0(sdtsldt0(X1,X0)))),
% 66.71/8.79 inference(destructive_equality_resolution,[status(esa)],[f142])).
% 66.71/8.79 fof(f214,plain,(
% 66.71/8.79 ~aNaturalNumber0(sz00)|~isPrime0(sz00)),
% 66.71/8.79 inference(destructive_equality_resolution,[status(esa)],[f158])).
% 66.71/8.79 fof(f215,plain,(
% 66.71/8.79 ~aNaturalNumber0(sz10)|~isPrime0(sz10)),
% 66.71/8.79 inference(destructive_equality_resolution,[status(esa)],[f159])).
% 66.71/8.79 fof(f277,plain,(
% 66.71/8.79 spl0_13 <=> sz00=xp),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f278,plain,(
% 66.71/8.79 sz00=xp|~spl0_13),
% 66.71/8.79 inference(component_clause,[status(thm)],[f277])).
% 66.71/8.79 fof(f319,plain,(
% 66.71/8.79 spl0_21 <=> sz10=xp),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f320,plain,(
% 66.71/8.79 sz10=xp|~spl0_21),
% 66.71/8.79 inference(component_clause,[status(thm)],[f319])).
% 66.71/8.79 fof(f361,plain,(
% 66.71/8.79 spl0_29 <=> xn=xp),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f362,plain,(
% 66.71/8.79 xn=xp|~spl0_29),
% 66.71/8.79 inference(component_clause,[status(thm)],[f361])).
% 66.71/8.79 fof(f403,plain,(
% 66.71/8.79 spl0_37 <=> xm=xp),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f404,plain,(
% 66.71/8.79 xm=xp|~spl0_37),
% 66.71/8.79 inference(component_clause,[status(thm)],[f403])).
% 66.71/8.79 fof(f445,plain,(
% 66.71/8.79 spl0_45 <=> xr=xp),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f446,plain,(
% 66.71/8.79 xr=xp|~spl0_45),
% 66.71/8.79 inference(component_clause,[status(thm)],[f445])).
% 66.71/8.79 fof(f457,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|aNaturalNumber0(sdtpldt0(X0,xp)))),
% 66.71/8.79 inference(resolution,[status(thm)],[f59,f172])).
% 66.71/8.79 fof(f463,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|aNaturalNumber0(sdtasdt0(X0,xp)))),
% 66.71/8.79 inference(resolution,[status(thm)],[f61,f172])).
% 66.71/8.79 fof(f464,plain,(
% 66.71/8.79 spl0_46 <=> aNaturalNumber0(xk)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f522,plain,(
% 66.71/8.79 ~sdtlseqdt0(xp,xp)|~spl0_0),
% 66.71/8.79 inference(backward_demodulation,[status(thm)],[f198,f195])).
% 66.71/8.79 fof(f525,plain,(
% 66.71/8.79 spl0_54 <=> aNaturalNumber0(xp)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f527,plain,(
% 66.71/8.79 ~aNaturalNumber0(xp)|spl0_54),
% 66.71/8.79 inference(component_clause,[status(thm)],[f525])).
% 66.71/8.79 fof(f558,plain,(
% 66.71/8.79 ~aNaturalNumber0(xp)|~spl0_0),
% 66.71/8.79 inference(resolution,[status(thm)],[f522,f106])).
% 66.71/8.79 fof(f559,plain,(
% 66.71/8.79 $false|~spl0_0),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f558,f172])).
% 66.71/8.79 fof(f560,plain,(
% 66.71/8.79 ~spl0_0),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f559])).
% 66.71/8.79 fof(f599,plain,(
% 66.71/8.79 aNaturalNumber0(sdtpldt0(xr,xp))),
% 66.71/8.79 inference(resolution,[status(thm)],[f457,f189])).
% 66.71/8.79 fof(f600,plain,(
% 66.71/8.79 aNaturalNumber0(sdtpldt0(xm,xp))),
% 66.71/8.79 inference(resolution,[status(thm)],[f457,f171])).
% 66.71/8.79 fof(f601,plain,(
% 66.71/8.79 aNaturalNumber0(sdtpldt0(xn,xp))),
% 66.71/8.79 inference(resolution,[status(thm)],[f457,f170])).
% 66.71/8.79 fof(f602,plain,(
% 66.71/8.79 aNaturalNumber0(sdtpldt0(sz10,xp))),
% 66.71/8.79 inference(resolution,[status(thm)],[f457,f56])).
% 66.71/8.79 fof(f604,plain,(
% 66.71/8.79 aNaturalNumber0(sdtpldt0(xp,xp))),
% 66.71/8.79 inference(resolution,[status(thm)],[f457,f172])).
% 66.71/8.79 fof(f985,plain,(
% 66.71/8.79 ~isPrime0(sz00)),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f214,f55])).
% 66.71/8.79 fof(f986,plain,(
% 66.71/8.79 ~isPrime0(sz10)),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f215,f56])).
% 66.71/8.79 fof(f1003,plain,(
% 66.71/8.79 sdtpldt0(sz00,sz00)=sz00),
% 66.71/8.79 inference(resolution,[status(thm)],[f67,f55])).
% 66.71/8.79 fof(f1034,plain,(
% 66.71/8.79 spl0_129 <=> aNaturalNumber0(xn)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f1036,plain,(
% 66.71/8.79 ~aNaturalNumber0(xn)|spl0_129),
% 66.71/8.79 inference(component_clause,[status(thm)],[f1034])).
% 66.71/8.79 fof(f1044,plain,(
% 66.71/8.79 $false|spl0_129),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f1036,f170])).
% 66.71/8.79 fof(f1045,plain,(
% 66.71/8.79 spl0_129),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f1044])).
% 66.71/8.79 fof(f1062,plain,(
% 66.71/8.79 $false|spl0_54),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f527,f172])).
% 66.71/8.79 fof(f1063,plain,(
% 66.71/8.79 spl0_54),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f1062])).
% 66.71/8.79 fof(f1620,plain,(
% 66.71/8.79 sdtasdt0(sz10,sz10)=sz10),
% 66.71/8.79 inference(resolution,[status(thm)],[f74,f56])).
% 66.71/8.79 fof(f1819,plain,(
% 66.71/8.79 sz00=sdtasdt0(sz10,sz00)),
% 66.71/8.79 inference(resolution,[status(thm)],[f75,f55])).
% 66.71/8.79 fof(f1966,plain,(
% 66.71/8.79 sdtasdt0(sdtpldt0(xn,xp),sz00)=sz00),
% 66.71/8.79 inference(resolution,[status(thm)],[f77,f601])).
% 66.71/8.79 fof(f1970,plain,(
% 66.71/8.79 sdtasdt0(xr,sz00)=sz00),
% 66.71/8.79 inference(resolution,[status(thm)],[f77,f189])).
% 66.71/8.79 fof(f1974,plain,(
% 66.71/8.79 sdtasdt0(sz00,sz00)=sz00),
% 66.71/8.79 inference(resolution,[status(thm)],[f77,f55])).
% 66.71/8.79 fof(f1975,plain,(
% 66.71/8.79 sdtasdt0(xp,sz00)=sz00),
% 66.71/8.79 inference(resolution,[status(thm)],[f77,f172])).
% 66.71/8.79 fof(f2310,plain,(
% 66.71/8.79 isPrime0(sz00)|~spl0_13),
% 66.71/8.79 inference(backward_demodulation,[status(thm)],[f278,f175])).
% 66.71/8.79 fof(f2311,plain,(
% 66.71/8.79 $false|~spl0_13),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f2310,f985])).
% 66.71/8.79 fof(f2312,plain,(
% 66.71/8.79 ~spl0_13),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f2311])).
% 66.71/8.79 fof(f2382,plain,(
% 66.71/8.79 spl0_237 <=> sdtasdt0(sz10,sz10)=sz10),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f2384,plain,(
% 66.71/8.79 ~sdtasdt0(sz10,sz10)=sz10|spl0_237),
% 66.71/8.79 inference(component_clause,[status(thm)],[f2382])).
% 66.71/8.79 fof(f2661,plain,(
% 66.71/8.79 sdtasdt0(sdtpldt0(xp,xp),sz00)=sz00),
% 66.71/8.79 inference(resolution,[status(thm)],[f604,f77])).
% 66.71/8.79 fof(f2731,plain,(
% 66.71/8.79 sdtasdt0(sdtpldt0(sz10,xp),sz00)=sz00),
% 66.71/8.79 inference(resolution,[status(thm)],[f602,f77])).
% 66.71/8.79 fof(f2828,plain,(
% 66.71/8.79 spl0_288 <=> sz10=xr),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f2829,plain,(
% 66.71/8.79 sz10=xr|~spl0_288),
% 66.71/8.79 inference(component_clause,[status(thm)],[f2828])).
% 66.71/8.79 fof(f3008,plain,(
% 66.71/8.79 sdtasdt0(xn,sz00)=sz00),
% 66.71/8.79 inference(resolution,[status(thm)],[f170,f77])).
% 66.71/8.79 fof(f3114,plain,(
% 66.71/8.79 spl0_322 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(sz10,xp))=sdtpldt0(X0,sdtpldt0(sz10,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3115,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(sz10,xp))=sdtpldt0(X0,sdtpldt0(sz10,xp))|~spl0_322)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3114])).
% 66.71/8.79 fof(f3120,plain,(
% 66.71/8.79 spl0_323 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(xp,xp))=sdtpldt0(X0,sdtpldt0(xp,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3121,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(xp,xp))=sdtpldt0(X0,sdtpldt0(xp,xp))|~spl0_323)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3120])).
% 66.71/8.79 fof(f3126,plain,(
% 66.71/8.79 spl0_324 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(xr,xp))=sdtpldt0(X0,sdtpldt0(xr,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3127,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(xr,xp))=sdtpldt0(X0,sdtpldt0(xr,xp))|~spl0_324)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3126])).
% 66.71/8.79 fof(f3132,plain,(
% 66.71/8.79 spl0_325 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,xp)=sdtpldt0(X0,xp)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3133,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,xp)=sdtpldt0(X0,xp)|~spl0_325)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3132])).
% 66.71/8.79 fof(f3144,plain,(
% 66.71/8.79 spl0_327 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sz00)=sdtpldt0(X0,sz00)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3145,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sz00)=sdtpldt0(X0,sz00)|~spl0_327)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3144])).
% 66.71/8.79 fof(f3171,plain,(
% 66.71/8.79 spl0_330 <=> ~aNaturalNumber0(X0)|~sdtpldt0(xr,X0)=sdtpldt0(xr,X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3172,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(xr,X0)=sdtpldt0(xr,X0)|~spl0_330)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3171])).
% 66.71/8.79 fof(f3177,plain,(
% 66.71/8.79 spl0_331 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(sz10,xp),X0)=sdtpldt0(sdtpldt0(sz10,xp),X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3178,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(sz10,xp),X0)=sdtpldt0(sdtpldt0(sz10,xp),X0)|~spl0_331)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3177])).
% 66.71/8.79 fof(f3189,plain,(
% 66.71/8.79 spl0_333 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(xr,xp),X0)=sdtpldt0(sdtpldt0(xr,xp),X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3190,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(xr,xp),X0)=sdtpldt0(sdtpldt0(xr,xp),X0)|~spl0_333)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3189])).
% 66.71/8.79 fof(f3195,plain,(
% 66.71/8.79 spl0_334 <=> ~aNaturalNumber0(X0)|~sdtpldt0(xp,X0)=sdtpldt0(xp,X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3196,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(xp,X0)=sdtpldt0(xp,X0)|~spl0_334)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3195])).
% 66.71/8.79 fof(f3207,plain,(
% 66.71/8.79 spl0_336 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sz00,X0)=sdtpldt0(sz00,X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3208,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sz00,X0)=sdtpldt0(sz00,X0)|~spl0_336)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3207])).
% 66.71/8.79 fof(f3424,plain,(
% 66.71/8.79 aNaturalNumber0(sdtasdt0(xr,xp))),
% 66.71/8.79 inference(resolution,[status(thm)],[f463,f189])).
% 66.71/8.79 fof(f3428,plain,(
% 66.71/8.79 aNaturalNumber0(sdtasdt0(xp,xp))),
% 66.71/8.79 inference(resolution,[status(thm)],[f463,f172])).
% 66.71/8.79 fof(f3446,plain,(
% 66.71/8.79 spl0_355 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(xr,xp),X0)=sdtpldt0(sdtasdt0(xr,xp),X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3447,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(xr,xp),X0)=sdtpldt0(sdtasdt0(xr,xp),X0)|~spl0_355)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3446])).
% 66.71/8.79 fof(f3455,plain,(
% 66.71/8.79 spl0_356 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(xr,xp))=sdtpldt0(X0,sdtasdt0(xr,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3456,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(xr,xp))=sdtpldt0(X0,sdtasdt0(xr,xp))|~spl0_356)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3455])).
% 66.71/8.79 fof(f3559,plain,(
% 66.71/8.79 spl0_369 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(xp,xp),X0)=sdtpldt0(sdtasdt0(xp,xp),X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3560,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(xp,xp),X0)=sdtpldt0(sdtasdt0(xp,xp),X0)|~spl0_369)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3559])).
% 66.71/8.79 fof(f3568,plain,(
% 66.71/8.79 spl0_370 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(xp,xp))=sdtpldt0(X0,sdtasdt0(xp,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3569,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(xp,xp))=sdtpldt0(X0,sdtasdt0(xp,xp))|~spl0_370)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3568])).
% 66.71/8.79 fof(f3633,plain,(
% 66.71/8.79 sdtasdt0(sdtasdt0(xp,xp),sz00)=sz00),
% 66.71/8.79 inference(resolution,[status(thm)],[f3428,f77])).
% 66.71/8.79 fof(f3703,plain,(
% 66.71/8.79 spl0_384 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(xn,xp),X0)=sdtpldt0(sdtpldt0(xn,xp),X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3704,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(xn,xp),X0)=sdtpldt0(sdtpldt0(xn,xp),X0)|~spl0_384)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3703])).
% 66.71/8.79 fof(f3712,plain,(
% 66.71/8.79 spl0_385 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(xn,xp))=sdtpldt0(X0,sdtpldt0(xn,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3713,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(xn,xp))=sdtpldt0(X0,sdtpldt0(xn,xp))|~spl0_385)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3712])).
% 66.71/8.79 fof(f3905,plain,(
% 66.71/8.79 spl0_406 <=> aNaturalNumber0(sdtpldt0(xp,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3907,plain,(
% 66.71/8.79 ~aNaturalNumber0(sdtpldt0(xp,xp))|spl0_406),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3905])).
% 66.71/8.79 fof(f3933,plain,(
% 66.71/8.79 $false|spl0_406),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f3907,f604])).
% 66.71/8.79 fof(f3934,plain,(
% 66.71/8.79 spl0_406),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f3933])).
% 66.71/8.79 fof(f3935,plain,(
% 66.71/8.79 spl0_412 <=> aNaturalNumber0(sdtpldt0(sz10,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3937,plain,(
% 66.71/8.79 ~aNaturalNumber0(sdtpldt0(sz10,xp))|spl0_412),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3935])).
% 66.71/8.79 fof(f3963,plain,(
% 66.71/8.79 $false|spl0_412),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f3937,f602])).
% 66.71/8.79 fof(f3964,plain,(
% 66.71/8.79 spl0_412),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f3963])).
% 66.71/8.79 fof(f3965,plain,(
% 66.71/8.79 spl0_418 <=> aNaturalNumber0(sdtpldt0(xn,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3967,plain,(
% 66.71/8.79 ~aNaturalNumber0(sdtpldt0(xn,xp))|spl0_418),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3965])).
% 66.71/8.79 fof(f3993,plain,(
% 66.71/8.79 $false|spl0_418),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f3967,f601])).
% 66.71/8.79 fof(f3994,plain,(
% 66.71/8.79 spl0_418),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f3993])).
% 66.71/8.79 fof(f3995,plain,(
% 66.71/8.79 spl0_424 <=> aNaturalNumber0(sdtpldt0(xm,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f3997,plain,(
% 66.71/8.79 ~aNaturalNumber0(sdtpldt0(xm,xp))|spl0_424),
% 66.71/8.79 inference(component_clause,[status(thm)],[f3995])).
% 66.71/8.79 fof(f4023,plain,(
% 66.71/8.79 $false|spl0_424),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f3997,f600])).
% 66.71/8.79 fof(f4024,plain,(
% 66.71/8.79 spl0_424),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f4023])).
% 66.71/8.79 fof(f4025,plain,(
% 66.71/8.79 spl0_430 <=> aNaturalNumber0(sdtpldt0(xr,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f4027,plain,(
% 66.71/8.79 ~aNaturalNumber0(sdtpldt0(xr,xp))|spl0_430),
% 66.71/8.79 inference(component_clause,[status(thm)],[f4025])).
% 66.71/8.79 fof(f4053,plain,(
% 66.71/8.79 $false|spl0_430),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f4027,f599])).
% 66.71/8.79 fof(f4054,plain,(
% 66.71/8.79 spl0_430),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f4053])).
% 66.71/8.79 fof(f4246,plain,(
% 66.71/8.79 $false|~spl0_29),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f362,f179])).
% 66.71/8.79 fof(f4247,plain,(
% 66.71/8.79 ~spl0_29),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f4246])).
% 66.71/8.79 fof(f4253,plain,(
% 66.71/8.79 $false|~spl0_37),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f404,f181])).
% 66.71/8.79 fof(f4254,plain,(
% 66.71/8.79 ~spl0_37),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f4253])).
% 66.71/8.79 fof(f4456,plain,(
% 66.71/8.79 spl0_469 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sz00)=sz00),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f4457,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sz00)=sz00|~spl0_469)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f4456])).
% 66.71/8.79 fof(f4488,plain,(
% 66.71/8.79 isPrime0(sz10)|~spl0_21),
% 66.71/8.79 inference(backward_demodulation,[status(thm)],[f320,f175])).
% 66.71/8.79 fof(f4489,plain,(
% 66.71/8.79 $false|~spl0_21),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f4488,f986])).
% 66.71/8.79 fof(f4490,plain,(
% 66.71/8.79 ~spl0_21),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f4489])).
% 66.71/8.79 fof(f4584,plain,(
% 66.71/8.79 xp=sdtpldt0(sz00,xp)),
% 66.71/8.79 inference(resolution,[status(thm)],[f172,f68])).
% 66.71/8.79 fof(f5515,plain,(
% 66.71/8.79 sdtasdt0(xm,sz00)=sz00),
% 66.71/8.79 inference(resolution,[status(thm)],[f171,f77])).
% 66.71/8.79 fof(f6113,plain,(
% 66.71/8.79 spl0_523 <=> sz00=sdtasdt0(sz10,sz00)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f6115,plain,(
% 66.71/8.79 ~sz00=sdtasdt0(sz10,sz00)|spl0_523),
% 66.71/8.79 inference(component_clause,[status(thm)],[f6113])).
% 66.71/8.79 fof(f6127,plain,(
% 66.71/8.79 ~sz00=sz00|spl0_523),
% 66.71/8.79 inference(forward_demodulation,[status(thm)],[f1819,f6115])).
% 66.71/8.79 fof(f6128,plain,(
% 66.71/8.79 $false|spl0_523),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f6127])).
% 66.71/8.79 fof(f6129,plain,(
% 66.71/8.79 spl0_523),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f6128])).
% 66.71/8.79 fof(f6350,plain,(
% 66.71/8.79 spl0_540 <=> aNaturalNumber0(sdtpldt0(sz00,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f6352,plain,(
% 66.71/8.79 ~aNaturalNumber0(sdtpldt0(sz00,xp))|spl0_540),
% 66.71/8.79 inference(component_clause,[status(thm)],[f6350])).
% 66.71/8.79 fof(f6387,plain,(
% 66.71/8.79 ~sz10=sz10|spl0_237),
% 66.71/8.79 inference(forward_demodulation,[status(thm)],[f1620,f2384])).
% 66.71/8.79 fof(f6388,plain,(
% 66.71/8.79 $false|spl0_237),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f6387])).
% 66.71/8.79 fof(f6389,plain,(
% 66.71/8.79 spl0_237),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f6388])).
% 66.71/8.79 fof(f6390,plain,(
% 66.71/8.79 ~aNaturalNumber0(xp)|spl0_540),
% 66.71/8.79 inference(forward_demodulation,[status(thm)],[f4584,f6352])).
% 66.71/8.79 fof(f6391,plain,(
% 66.71/8.79 $false|spl0_540),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f6390,f172])).
% 66.71/8.79 fof(f6392,plain,(
% 66.71/8.79 spl0_540),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f6391])).
% 66.71/8.79 fof(f6459,plain,(
% 66.71/8.79 spl0_557 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(xn,xp),X0)=sdtpldt0(sdtasdt0(xn,xp),X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f6460,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(xn,xp),X0)=sdtpldt0(sdtasdt0(xn,xp),X0)|~spl0_557)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f6459])).
% 66.71/8.79 fof(f6468,plain,(
% 66.71/8.79 spl0_558 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(xn,xp))=sdtpldt0(X0,sdtasdt0(xn,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f6469,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(xn,xp))=sdtpldt0(X0,sdtasdt0(xn,xp))|~spl0_558)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f6468])).
% 66.71/8.79 fof(f6752,plain,(
% 66.71/8.79 spl0_586 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(xp,sdtpldt0(xr,xp)),X0)=sdtpldt0(sdtasdt0(xp,sdtpldt0(xr,xp)),X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f6753,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(xp,sdtpldt0(xr,xp)),X0)=sdtpldt0(sdtasdt0(xp,sdtpldt0(xr,xp)),X0)|~spl0_586)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f6752])).
% 66.71/8.79 fof(f6898,plain,(
% 66.71/8.79 spl0_604 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(sz10,sdtpldt0(xr,xp)),X0)=sdtpldt0(sdtasdt0(sz10,sdtpldt0(xr,xp)),X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f6899,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(sz10,sdtpldt0(xr,xp)),X0)=sdtpldt0(sdtasdt0(sz10,sdtpldt0(xr,xp)),X0)|~spl0_604)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f6898])).
% 66.71/8.79 fof(f6907,plain,(
% 66.71/8.79 spl0_605 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(sz10,sdtpldt0(xr,xp)))=sdtpldt0(X0,sdtasdt0(sz10,sdtpldt0(xr,xp)))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f6908,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(sz10,sdtpldt0(xr,xp)))=sdtpldt0(X0,sdtasdt0(sz10,sdtpldt0(xr,xp)))|~spl0_605)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f6907])).
% 66.71/8.79 fof(f7094,plain,(
% 66.71/8.79 spl0_620 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xr,xp)))=sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xr,xp)))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f7095,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xr,xp)))=sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xr,xp)))|~spl0_620)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f7094])).
% 66.71/8.79 fof(f7170,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_620)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f7095])).
% 66.71/8.79 fof(f7385,plain,(
% 66.71/8.79 spl0_655 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(sdtpldt0(xr,xp),xp),X0)=sdtpldt0(sdtpldt0(sdtpldt0(xr,xp),xp),X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f7386,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(sdtpldt0(xr,xp),xp),X0)=sdtpldt0(sdtpldt0(sdtpldt0(xr,xp),xp),X0)|~spl0_655)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f7385])).
% 66.71/8.79 fof(f7394,plain,(
% 66.71/8.79 spl0_656 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(sdtpldt0(xr,xp),xp))=sdtpldt0(X0,sdtpldt0(sdtpldt0(xr,xp),xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f7395,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(sdtpldt0(xr,xp),xp))=sdtpldt0(X0,sdtpldt0(sdtpldt0(xr,xp),xp))|~spl0_656)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f7394])).
% 66.71/8.79 fof(f7470,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_656)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f7395])).
% 66.71/8.79 fof(f7471,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_655)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f7386])).
% 66.71/8.79 fof(f8064,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_334)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f3196])).
% 66.71/8.79 fof(f8138,plain,(
% 66.71/8.79 spl0_715 <=> ~aNaturalNumber0(X0)|~sdtpldt0(xk,X0)=sdtpldt0(xk,X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f8139,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(xk,X0)=sdtpldt0(xk,X0)|~spl0_715)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f8138])).
% 66.71/8.79 fof(f8143,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_715)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f8139])).
% 66.71/8.79 fof(f8144,plain,(
% 66.71/8.79 $false|~spl0_715),
% 66.71/8.79 inference(backward_subsumption_resolution,[status(thm)],[f55,f8143])).
% 66.71/8.79 fof(f8145,plain,(
% 66.71/8.79 ~spl0_715),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f8144])).
% 66.71/8.79 fof(f8146,plain,(
% 66.71/8.79 $false|~spl0_655),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f172,f7471])).
% 66.71/8.79 fof(f8147,plain,(
% 66.71/8.79 ~spl0_655),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f8146])).
% 66.71/8.79 fof(f8293,plain,(
% 66.71/8.79 $false|~spl0_334),
% 66.71/8.79 inference(backward_subsumption_resolution,[status(thm)],[f170,f8064])).
% 66.71/8.79 fof(f8294,plain,(
% 66.71/8.79 ~spl0_334),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f8293])).
% 66.71/8.79 fof(f8319,plain,(
% 66.71/8.79 isPrime0(sz10)|~spl0_288),
% 66.71/8.79 inference(backward_demodulation,[status(thm)],[f2829,f191])).
% 66.71/8.79 fof(f8320,plain,(
% 66.71/8.79 $false|~spl0_288),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f8319,f986])).
% 66.71/8.79 fof(f8321,plain,(
% 66.71/8.79 ~spl0_288),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f8320])).
% 66.71/8.79 fof(f8322,plain,(
% 66.71/8.79 $false|~spl0_620),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f172,f7170])).
% 66.71/8.79 fof(f8323,plain,(
% 66.71/8.79 ~spl0_620),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f8322])).
% 66.71/8.79 fof(f8333,plain,(
% 66.71/8.79 aNaturalNumber0(sdtasdt0(xp,xp))),
% 66.71/8.79 inference(resolution,[status(thm)],[f463,f172])).
% 66.71/8.79 fof(f8399,plain,(
% 66.71/8.79 aNaturalNumber0(sdtasdt0(xn,xp))),
% 66.71/8.79 inference(resolution,[status(thm)],[f170,f463])).
% 66.71/8.79 fof(f8476,plain,(
% 66.71/8.79 $false|~spl0_656),
% 66.71/8.79 inference(backward_subsumption_resolution,[status(thm)],[f55,f7470])).
% 66.71/8.79 fof(f8477,plain,(
% 66.71/8.79 ~spl0_656),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f8476])).
% 66.71/8.79 fof(f8817,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_605)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f6908])).
% 66.71/8.79 fof(f8818,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_604)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f6899])).
% 66.71/8.79 fof(f8822,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_586)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f6753])).
% 66.71/8.79 fof(f8825,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_558)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f6469])).
% 66.71/8.79 fof(f8826,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_557)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f6460])).
% 66.71/8.79 fof(f8886,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_385)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f3713])).
% 66.71/8.79 fof(f8887,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_384)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f3704])).
% 66.71/8.79 fof(f8889,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_370)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f3569])).
% 66.71/8.79 fof(f8890,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_369)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f3560])).
% 66.71/8.79 fof(f8892,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_356)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f3456])).
% 66.71/8.79 fof(f8893,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_355)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f3447])).
% 66.71/8.79 fof(f8898,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_336)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f3208])).
% 66.71/8.79 fof(f8900,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_333)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f3190])).
% 66.71/8.79 fof(f8902,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_331)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f3178])).
% 66.71/8.79 fof(f8903,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_330)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f3172])).
% 66.71/8.79 fof(f8907,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_327)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f3145])).
% 66.71/8.79 fof(f8909,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_325)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f3133])).
% 66.71/8.79 fof(f8910,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_324)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f3127])).
% 66.71/8.79 fof(f8911,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_323)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f3121])).
% 66.71/8.79 fof(f8912,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_322)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f3115])).
% 66.71/8.79 fof(f9676,plain,(
% 66.71/8.79 spl0_800 <=> xk=sz00),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f9677,plain,(
% 66.71/8.79 xk=sz00|~spl0_800),
% 66.71/8.79 inference(component_clause,[status(thm)],[f9676])).
% 66.71/8.79 fof(f9679,plain,(
% 66.71/8.79 spl0_801 <=> sdtlseqdt0(xr,xk)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f9681,plain,(
% 66.71/8.79 ~sdtlseqdt0(xr,xk)|spl0_801),
% 66.71/8.79 inference(component_clause,[status(thm)],[f9679])).
% 66.71/8.79 fof(f9691,plain,(
% 66.71/8.79 $false|~spl0_800),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f9677,f185])).
% 66.71/8.79 fof(f9692,plain,(
% 66.71/8.79 ~spl0_800),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f9691])).
% 66.71/8.79 fof(f9725,plain,(
% 66.71/8.79 $false|~spl0_605),
% 66.71/8.79 inference(backward_subsumption_resolution,[status(thm)],[f56,f8817])).
% 66.71/8.79 fof(f9726,plain,(
% 66.71/8.79 ~spl0_605),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f9725])).
% 66.71/8.79 fof(f9727,plain,(
% 66.71/8.79 $false|~spl0_604),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f172,f8818])).
% 66.71/8.79 fof(f9728,plain,(
% 66.71/8.79 ~spl0_604),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f9727])).
% 66.71/8.79 fof(f10037,plain,(
% 66.71/8.79 spl0_807 <=> aNaturalNumber0(sdtasdt0(xr,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f10039,plain,(
% 66.71/8.79 ~aNaturalNumber0(sdtasdt0(xr,xp))|spl0_807),
% 66.71/8.79 inference(component_clause,[status(thm)],[f10037])).
% 66.71/8.79 fof(f10058,plain,(
% 66.71/8.79 $false|spl0_807),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f10039,f3424])).
% 66.71/8.79 fof(f10059,plain,(
% 66.71/8.79 spl0_807),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f10058])).
% 66.71/8.79 fof(f10097,plain,(
% 66.71/8.79 $false|~spl0_322),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f172,f8912])).
% 66.71/8.79 fof(f10098,plain,(
% 66.71/8.79 ~spl0_322),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f10097])).
% 66.71/8.79 fof(f10188,plain,(
% 66.71/8.79 ~aNaturalNumber0(xk)|~aNaturalNumber0(xp)|sdtlseqdt0(xk,xp)),
% 66.71/8.79 inference(resolution,[status(thm)],[f113,f195])).
% 66.71/8.79 fof(f10189,plain,(
% 66.71/8.79 ~spl0_46|~spl0_54|spl0_1),
% 66.71/8.79 inference(split_clause,[status(thm)],[f10188,f464,f525,f200])).
% 66.71/8.79 fof(f10401,plain,(
% 66.71/8.79 $false|~spl0_586),
% 66.71/8.79 inference(backward_subsumption_resolution,[status(thm)],[f56,f8822])).
% 66.71/8.79 fof(f10402,plain,(
% 66.71/8.79 ~spl0_586),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f10401])).
% 66.71/8.79 fof(f10782,plain,(
% 66.71/8.79 $false|~spl0_323),
% 66.71/8.79 inference(backward_subsumption_resolution,[status(thm)],[f55,f8911])).
% 66.71/8.79 fof(f10783,plain,(
% 66.71/8.79 ~spl0_323),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f10782])).
% 66.71/8.79 fof(f10785,plain,(
% 66.71/8.79 $false|~spl0_324),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f172,f8910])).
% 66.71/8.79 fof(f10786,plain,(
% 66.71/8.79 ~spl0_324),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f10785])).
% 66.71/8.79 fof(f11137,plain,(
% 66.71/8.79 $false|~spl0_558),
% 66.71/8.79 inference(backward_subsumption_resolution,[status(thm)],[f56,f8825])).
% 66.71/8.79 fof(f11138,plain,(
% 66.71/8.79 ~spl0_558),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f11137])).
% 66.71/8.79 fof(f11139,plain,(
% 66.71/8.79 $false|~spl0_557),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f172,f8826])).
% 66.71/8.79 fof(f11140,plain,(
% 66.71/8.79 ~spl0_557),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f11139])).
% 66.71/8.79 fof(f11717,plain,(
% 66.71/8.79 $false|~spl0_325),
% 66.71/8.79 inference(backward_subsumption_resolution,[status(thm)],[f55,f8909])).
% 66.71/8.79 fof(f11718,plain,(
% 66.71/8.79 ~spl0_325),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f11717])).
% 66.71/8.79 fof(f12803,plain,(
% 66.71/8.79 $false|~spl0_331),
% 66.71/8.79 inference(backward_subsumption_resolution,[status(thm)],[f55,f8902])).
% 66.71/8.79 fof(f12804,plain,(
% 66.71/8.79 ~spl0_331),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f12803])).
% 66.71/8.79 fof(f12807,plain,(
% 66.71/8.79 $false|~spl0_336),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f172,f8898])).
% 66.71/8.79 fof(f12808,plain,(
% 66.71/8.79 ~spl0_336),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f12807])).
% 66.71/8.79 fof(f13123,plain,(
% 66.71/8.79 spl0_919 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(xr,xr),X0)=sdtpldt0(sdtpldt0(xr,xr),X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f13124,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(xr,xr),X0)=sdtpldt0(sdtpldt0(xr,xr),X0)|~spl0_919)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f13123])).
% 66.71/8.79 fof(f13132,plain,(
% 66.71/8.79 spl0_920 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(xp,xr),X0)=sdtpldt0(sdtpldt0(xp,xr),X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f13133,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(xp,xr),X0)=sdtpldt0(sdtpldt0(xp,xr),X0)|~spl0_920)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f13132])).
% 66.71/8.79 fof(f13179,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_920)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f13133])).
% 66.71/8.79 fof(f13180,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_919)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f13124])).
% 66.71/8.79 fof(f13206,plain,(
% 66.71/8.79 spl0_922 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(sz10,xr))=sdtpldt0(X0,sdtpldt0(sz10,xr))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f13207,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(sz10,xr))=sdtpldt0(X0,sdtpldt0(sz10,xr))|~spl0_922)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f13206])).
% 66.71/8.79 fof(f13215,plain,(
% 66.71/8.79 spl0_923 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(xr,xr))=sdtpldt0(X0,sdtpldt0(xr,xr))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f13216,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(xr,xr))=sdtpldt0(X0,sdtpldt0(xr,xr))|~spl0_923)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f13215])).
% 66.71/8.79 fof(f13224,plain,(
% 66.71/8.79 spl0_924 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(xp,xr))=sdtpldt0(X0,sdtpldt0(xp,xr))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f13225,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(xp,xr))=sdtpldt0(X0,sdtpldt0(xp,xr))|~spl0_924)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f13224])).
% 66.71/8.79 fof(f13271,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_924)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f13225])).
% 66.71/8.79 fof(f13272,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_923)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f13216])).
% 66.71/8.79 fof(f13273,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_922)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f13207])).
% 66.71/8.79 fof(f13283,plain,(
% 66.71/8.79 spl0_927 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(sdtpldt0(xp,xp),xp),X0)=sdtpldt0(sdtpldt0(sdtpldt0(xp,xp),xp),X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f13284,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(sdtpldt0(xp,xp),xp),X0)=sdtpldt0(sdtpldt0(sdtpldt0(xp,xp),xp),X0)|~spl0_927)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f13283])).
% 66.71/8.79 fof(f13308,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_927)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f13284])).
% 66.71/8.79 fof(f13310,plain,(
% 66.71/8.79 $false|~spl0_927),
% 66.71/8.79 inference(backward_subsumption_resolution,[status(thm)],[f56,f13308])).
% 66.71/8.79 fof(f13311,plain,(
% 66.71/8.79 ~spl0_927),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f13310])).
% 66.71/8.79 fof(f13314,plain,(
% 66.71/8.79 $false|~spl0_922),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f172,f13273])).
% 66.71/8.79 fof(f13315,plain,(
% 66.71/8.79 ~spl0_922),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f13314])).
% 66.71/8.79 fof(f13969,plain,(
% 66.71/8.79 $false|~spl0_924),
% 66.71/8.79 inference(backward_subsumption_resolution,[status(thm)],[f55,f13271])).
% 66.71/8.79 fof(f13970,plain,(
% 66.71/8.79 ~spl0_924),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f13969])).
% 66.71/8.79 fof(f13971,plain,(
% 66.71/8.79 $false|~spl0_920),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f172,f13179])).
% 66.71/8.79 fof(f13972,plain,(
% 66.71/8.79 ~spl0_920),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f13971])).
% 66.71/8.79 fof(f14362,plain,(
% 66.71/8.79 $false|~spl0_385),
% 66.71/8.79 inference(backward_subsumption_resolution,[status(thm)],[f56,f8886])).
% 66.71/8.79 fof(f14363,plain,(
% 66.71/8.79 ~spl0_385),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f14362])).
% 66.71/8.79 fof(f14364,plain,(
% 66.71/8.79 $false|~spl0_384),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f172,f8887])).
% 66.71/8.79 fof(f14365,plain,(
% 66.71/8.79 ~spl0_384),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f14364])).
% 66.71/8.79 fof(f14800,plain,(
% 66.71/8.79 $false|~spl0_333),
% 66.71/8.79 inference(backward_subsumption_resolution,[status(thm)],[f55,f8900])).
% 66.71/8.79 fof(f14801,plain,(
% 66.71/8.79 ~spl0_333),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f14800])).
% 66.71/8.79 fof(f14802,plain,(
% 66.71/8.79 $false|~spl0_355),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f172,f8893])).
% 66.71/8.79 fof(f14803,plain,(
% 66.71/8.79 ~spl0_355),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f14802])).
% 66.71/8.79 fof(f15244,plain,(
% 66.71/8.79 $false|~spl0_370),
% 66.71/8.79 inference(backward_subsumption_resolution,[status(thm)],[f56,f8889])).
% 66.71/8.79 fof(f15245,plain,(
% 66.71/8.79 ~spl0_370),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f15244])).
% 66.71/8.79 fof(f15246,plain,(
% 66.71/8.79 $false|~spl0_369),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f172,f8890])).
% 66.71/8.79 fof(f15247,plain,(
% 66.71/8.79 ~spl0_369),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f15246])).
% 66.71/8.79 fof(f15663,plain,(
% 66.71/8.79 $false|spl0_801),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f9681,f192])).
% 66.71/8.79 fof(f15664,plain,(
% 66.71/8.79 spl0_801),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f15663])).
% 66.71/8.79 fof(f15665,plain,(
% 66.71/8.79 $false|~spl0_356),
% 66.71/8.79 inference(backward_subsumption_resolution,[status(thm)],[f55,f8892])).
% 66.71/8.79 fof(f15666,plain,(
% 66.71/8.79 ~spl0_356),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f15665])).
% 66.71/8.79 fof(f15680,plain,(
% 66.71/8.79 spl0_969 <=> isPrime0(xp)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f15682,plain,(
% 66.71/8.79 ~isPrime0(xp)|spl0_969),
% 66.71/8.79 inference(component_clause,[status(thm)],[f15680])).
% 66.71/8.79 fof(f15685,plain,(
% 66.71/8.79 $false|spl0_969),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f15682,f175])).
% 66.71/8.79 fof(f15686,plain,(
% 66.71/8.79 spl0_969),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f15685])).
% 66.71/8.79 fof(f15692,plain,(
% 66.71/8.79 $false|~spl0_923),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f172,f13272])).
% 66.71/8.79 fof(f15693,plain,(
% 66.71/8.79 ~spl0_923),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f15692])).
% 66.71/8.79 fof(f16176,plain,(
% 66.71/8.79 $false|~spl0_327),
% 66.71/8.79 inference(backward_subsumption_resolution,[status(thm)],[f56,f8907])).
% 66.71/8.79 fof(f16177,plain,(
% 66.71/8.79 ~spl0_327),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f16176])).
% 66.71/8.79 fof(f16180,plain,(
% 66.71/8.79 $false|~spl0_330),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f172,f8903])).
% 66.71/8.79 fof(f16181,plain,(
% 66.71/8.79 ~spl0_330),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f16180])).
% 66.71/8.79 fof(f16699,plain,(
% 66.71/8.79 $false|~spl0_919),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f172,f13180])).
% 66.71/8.79 fof(f16700,plain,(
% 66.71/8.79 ~spl0_919),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f16699])).
% 66.71/8.79 fof(f18543,plain,(
% 66.71/8.79 spl0_1234 <=> aNaturalNumber0(sdtasdt0(xp,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f18545,plain,(
% 66.71/8.79 ~aNaturalNumber0(sdtasdt0(xp,xp))|spl0_1234),
% 66.71/8.79 inference(component_clause,[status(thm)],[f18543])).
% 66.71/8.79 fof(f18566,plain,(
% 66.71/8.79 $false|spl0_1234),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f18545,f8333])).
% 66.71/8.79 fof(f18567,plain,(
% 66.71/8.79 spl0_1234),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f18566])).
% 66.71/8.79 fof(f18927,plain,(
% 66.71/8.79 sdtlseqdt0(xp,xk)|~spl0_45),
% 66.71/8.79 inference(backward_demodulation,[status(thm)],[f446,f192])).
% 66.71/8.79 fof(f18928,plain,(
% 66.71/8.79 $false|~spl0_45),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f18927,f195])).
% 66.71/8.79 fof(f18929,plain,(
% 66.71/8.79 ~spl0_45),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f18928])).
% 66.71/8.79 fof(f20246,plain,(
% 66.71/8.79 spl0_1427 <=> isPrime0(sz10)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f20247,plain,(
% 66.71/8.79 isPrime0(sz10)|~spl0_1427),
% 66.71/8.79 inference(component_clause,[status(thm)],[f20246])).
% 66.71/8.79 fof(f20253,plain,(
% 66.71/8.79 $false|~spl0_1427),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f20247,f986])).
% 66.71/8.79 fof(f20254,plain,(
% 66.71/8.79 ~spl0_1427),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f20253])).
% 66.71/8.79 fof(f20469,plain,(
% 66.71/8.79 spl0_1452 <=> sdtasdt0(xr,sz00)=sz00),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f20471,plain,(
% 66.71/8.79 ~sdtasdt0(xr,sz00)=sz00|spl0_1452),
% 66.71/8.79 inference(component_clause,[status(thm)],[f20469])).
% 66.71/8.79 fof(f20474,plain,(
% 66.71/8.79 spl0_1453 <=> sdtasdt0(xm,sz00)=sz00),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f20476,plain,(
% 66.71/8.79 ~sdtasdt0(xm,sz00)=sz00|spl0_1453),
% 66.71/8.79 inference(component_clause,[status(thm)],[f20474])).
% 66.71/8.79 fof(f20479,plain,(
% 66.71/8.79 spl0_1454 <=> sdtasdt0(xn,sz00)=sz00),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f20481,plain,(
% 66.71/8.79 ~sdtasdt0(xn,sz00)=sz00|spl0_1454),
% 66.71/8.79 inference(component_clause,[status(thm)],[f20479])).
% 66.71/8.79 fof(f20490,plain,(
% 66.71/8.79 spl0_1456 <=> sdtasdt0(sz00,sz00)=sz00),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f20492,plain,(
% 66.71/8.79 ~sdtasdt0(sz00,sz00)=sz00|spl0_1456),
% 66.71/8.79 inference(component_clause,[status(thm)],[f20490])).
% 66.71/8.79 fof(f20504,plain,(
% 66.71/8.79 spl0_1458 <=> sdtasdt0(sdtpldt0(xn,xp),sz00)=sz00),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f20506,plain,(
% 66.71/8.79 ~sdtasdt0(sdtpldt0(xn,xp),sz00)=sz00|spl0_1458),
% 66.71/8.79 inference(component_clause,[status(thm)],[f20504])).
% 66.71/8.79 fof(f20524,plain,(
% 66.71/8.79 spl0_1462 <=> sdtasdt0(sdtpldt0(xp,xp),sz00)=sz00),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f20526,plain,(
% 66.71/8.79 ~sdtasdt0(sdtpldt0(xp,xp),sz00)=sz00|spl0_1462),
% 66.71/8.79 inference(component_clause,[status(thm)],[f20524])).
% 66.71/8.79 fof(f20529,plain,(
% 66.71/8.79 spl0_1463 <=> sdtasdt0(sdtpldt0(sz10,xp),sz00)=sz00),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f20531,plain,(
% 66.71/8.79 ~sdtasdt0(sdtpldt0(sz10,xp),sz00)=sz00|spl0_1463),
% 66.71/8.79 inference(component_clause,[status(thm)],[f20529])).
% 66.71/8.79 fof(f20545,plain,(
% 66.71/8.79 spl0_1466 <=> sdtasdt0(sdtasdt0(xp,xp),sz00)=sz00),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f20547,plain,(
% 66.71/8.79 ~sdtasdt0(sdtasdt0(xp,xp),sz00)=sz00|spl0_1466),
% 66.71/8.79 inference(component_clause,[status(thm)],[f20545])).
% 66.71/8.79 fof(f20552,plain,(
% 66.71/8.79 spl0_1467 <=> sdtasdt0(xp,sz00)=sz00),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f20554,plain,(
% 66.71/8.79 ~sdtasdt0(xp,sz00)=sz00|spl0_1467),
% 66.71/8.79 inference(component_clause,[status(thm)],[f20552])).
% 66.71/8.79 fof(f20577,plain,(
% 66.71/8.79 ~sz00=sz00|spl0_1467),
% 66.71/8.79 inference(forward_demodulation,[status(thm)],[f1975,f20554])).
% 66.71/8.79 fof(f20578,plain,(
% 66.71/8.79 $false|spl0_1467),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f20577])).
% 66.71/8.79 fof(f20579,plain,(
% 66.71/8.79 spl0_1467),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f20578])).
% 66.71/8.79 fof(f20580,plain,(
% 66.71/8.79 ~sz00=sz00|spl0_1466),
% 66.71/8.79 inference(forward_demodulation,[status(thm)],[f3633,f20547])).
% 66.71/8.79 fof(f20581,plain,(
% 66.71/8.79 $false|spl0_1466),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f20580])).
% 66.71/8.79 fof(f20582,plain,(
% 66.71/8.79 spl0_1466),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f20581])).
% 66.71/8.79 fof(f20583,plain,(
% 66.71/8.79 ~sz00=sz00|spl0_1463),
% 66.71/8.79 inference(forward_demodulation,[status(thm)],[f2731,f20531])).
% 66.71/8.79 fof(f20584,plain,(
% 66.71/8.79 $false|spl0_1463),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f20583])).
% 66.71/8.79 fof(f20585,plain,(
% 66.71/8.79 spl0_1463),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f20584])).
% 66.71/8.79 fof(f20586,plain,(
% 66.71/8.79 ~sz00=sz00|spl0_1462),
% 66.71/8.79 inference(forward_demodulation,[status(thm)],[f2661,f20526])).
% 66.71/8.79 fof(f20587,plain,(
% 66.71/8.79 $false|spl0_1462),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f20586])).
% 66.71/8.79 fof(f20588,plain,(
% 66.71/8.79 spl0_1462),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f20587])).
% 66.71/8.79 fof(f20589,plain,(
% 66.71/8.79 ~sz00=sz00|spl0_1458),
% 66.71/8.79 inference(forward_demodulation,[status(thm)],[f1966,f20506])).
% 66.71/8.79 fof(f20590,plain,(
% 66.71/8.79 $false|spl0_1458),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f20589])).
% 66.71/8.79 fof(f20591,plain,(
% 66.71/8.79 spl0_1458),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f20590])).
% 66.71/8.79 fof(f20592,plain,(
% 66.71/8.79 ~sz00=sz00|spl0_1456),
% 66.71/8.79 inference(forward_demodulation,[status(thm)],[f1974,f20492])).
% 66.71/8.79 fof(f20593,plain,(
% 66.71/8.79 $false|spl0_1456),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f20592])).
% 66.71/8.79 fof(f20594,plain,(
% 66.71/8.79 spl0_1456),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f20593])).
% 66.71/8.79 fof(f20595,plain,(
% 66.71/8.79 ~sz00=sz00|spl0_1454),
% 66.71/8.79 inference(forward_demodulation,[status(thm)],[f3008,f20481])).
% 66.71/8.79 fof(f20596,plain,(
% 66.71/8.79 $false|spl0_1454),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f20595])).
% 66.71/8.79 fof(f20597,plain,(
% 66.71/8.79 spl0_1454),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f20596])).
% 66.71/8.79 fof(f20598,plain,(
% 66.71/8.79 ~sz00=sz00|spl0_1452),
% 66.71/8.79 inference(forward_demodulation,[status(thm)],[f1970,f20471])).
% 66.71/8.79 fof(f20599,plain,(
% 66.71/8.79 $false|spl0_1452),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f20598])).
% 66.71/8.79 fof(f20600,plain,(
% 66.71/8.79 spl0_1452),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f20599])).
% 66.71/8.79 fof(f21099,plain,(
% 66.71/8.79 spl0_1506 <=> isPrime0(sz00)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f21100,plain,(
% 66.71/8.79 isPrime0(sz00)|~spl0_1506),
% 66.71/8.79 inference(component_clause,[status(thm)],[f21099])).
% 66.71/8.79 fof(f21106,plain,(
% 66.71/8.79 $false|~spl0_1506),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f21100,f985])).
% 66.71/8.79 fof(f21107,plain,(
% 66.71/8.79 ~spl0_1506),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f21106])).
% 66.71/8.79 fof(f21240,plain,(
% 66.71/8.79 spl0_1518 <=> xk=sz10),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f21241,plain,(
% 66.71/8.79 xk=sz10|~spl0_1518),
% 66.71/8.79 inference(component_clause,[status(thm)],[f21240])).
% 66.71/8.79 fof(f21245,plain,(
% 66.71/8.79 $false|~spl0_1518),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f21241,f186])).
% 66.71/8.79 fof(f21246,plain,(
% 66.71/8.79 ~spl0_1518),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f21245])).
% 66.71/8.79 fof(f21304,plain,(
% 66.71/8.79 ~sdtpldt0(sz00,sz00)=sz00|~spl0_469),
% 66.71/8.79 inference(resolution,[status(thm)],[f4457,f55])).
% 66.71/8.79 fof(f21305,plain,(
% 66.71/8.79 ~sz00=sz00|~spl0_469),
% 66.71/8.79 inference(forward_demodulation,[status(thm)],[f1003,f21304])).
% 66.71/8.79 fof(f21306,plain,(
% 66.71/8.79 $false|~spl0_469),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f21305])).
% 66.71/8.79 fof(f21307,plain,(
% 66.71/8.79 ~spl0_469),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f21306])).
% 66.71/8.79 fof(f22582,plain,(
% 66.71/8.79 spl0_1592 <=> aNaturalNumber0(sdtasdt0(xn,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f22584,plain,(
% 66.71/8.79 ~aNaturalNumber0(sdtasdt0(xn,xp))|spl0_1592),
% 66.71/8.79 inference(component_clause,[status(thm)],[f22582])).
% 66.71/8.79 fof(f22587,plain,(
% 66.71/8.79 $false|spl0_1592),
% 66.71/8.79 inference(forward_subsumption_resolution,[status(thm)],[f22584,f8399])).
% 66.71/8.79 fof(f22588,plain,(
% 66.71/8.79 spl0_1592),
% 66.71/8.79 inference(contradiction_clause,[status(thm)],[f22587])).
% 66.71/8.79 fof(f22847,plain,(
% 66.71/8.79 spl0_1608 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(sdtasdt0(xp,xp),xp))=sdtpldt0(X0,sdtpldt0(sdtasdt0(xp,xp),xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f22848,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(sdtasdt0(xp,xp),xp))=sdtpldt0(X0,sdtpldt0(sdtasdt0(xp,xp),xp))|~spl0_1608)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f22847])).
% 66.71/8.79 fof(f22853,plain,(
% 66.71/8.79 spl0_1609 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(sdtpldt0(xm,xp),xp))=sdtpldt0(X0,sdtpldt0(sdtpldt0(xm,xp),xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f22854,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(sdtpldt0(xm,xp),xp))=sdtpldt0(X0,sdtpldt0(sdtpldt0(xm,xp),xp))|~spl0_1609)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f22853])).
% 66.71/8.79 fof(f22859,plain,(
% 66.71/8.79 spl0_1610 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xp),xp))=sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xp),xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f22860,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xp),xp))=sdtpldt0(X0,sdtpldt0(sdtpldt0(xn,xp),xp))|~spl0_1610)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f22859])).
% 66.71/8.79 fof(f22868,plain,(
% 66.71/8.79 spl0_1611 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(sdtpldt0(sz10,xp),xp))=sdtpldt0(X0,sdtpldt0(sdtpldt0(sz10,xp),xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f22869,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtpldt0(sdtpldt0(sz10,xp),xp))=sdtpldt0(X0,sdtpldt0(sdtpldt0(sz10,xp),xp))|~spl0_1611)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f22868])).
% 66.71/8.79 fof(f22881,plain,(
% 66.71/8.79 spl0_1612 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(sz10,sdtpldt0(xm,xp)))=sdtpldt0(X0,sdtasdt0(sz10,sdtpldt0(xm,xp)))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f22882,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(sz10,sdtpldt0(xm,xp)))=sdtpldt0(X0,sdtasdt0(sz10,sdtpldt0(xm,xp)))|~spl0_1612)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f22881])).
% 66.71/8.79 fof(f22890,plain,(
% 66.71/8.79 spl0_1614 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xm,xp)))=sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xm,xp)))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f22891,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xm,xp)))=sdtpldt0(X0,sdtasdt0(xm,sdtpldt0(xm,xp)))|~spl0_1614)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f22890])).
% 66.71/8.79 fof(f22899,plain,(
% 66.71/8.79 spl0_1616 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(xm,xp))=sdtpldt0(X0,sdtasdt0(xm,xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f22900,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(xm,xp))=sdtpldt0(X0,sdtasdt0(xm,xp))|~spl0_1616)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f22899])).
% 66.71/8.79 fof(f22905,plain,(
% 66.71/8.79 spl0_1617 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xm,xp)))=sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xm,xp)))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f22906,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xm,xp)))=sdtpldt0(X0,sdtasdt0(xn,sdtpldt0(xm,xp)))|~spl0_1617)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f22905])).
% 66.71/8.79 fof(f22923,plain,(
% 66.71/8.79 spl0_1620 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(sdtpldt0(xn,xp),xp))=sdtpldt0(X0,sdtasdt0(sdtpldt0(xn,xp),xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f22924,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(sdtpldt0(xn,xp),xp))=sdtpldt0(X0,sdtasdt0(sdtpldt0(xn,xp),xp))|~spl0_1620)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f22923])).
% 66.71/8.79 fof(f22929,plain,(
% 66.71/8.79 spl0_1621 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(sdtpldt0(xp,xp),xp))=sdtpldt0(X0,sdtasdt0(sdtpldt0(xp,xp),xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f22930,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(sdtpldt0(xp,xp),xp))=sdtpldt0(X0,sdtasdt0(sdtpldt0(xp,xp),xp))|~spl0_1621)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f22929])).
% 66.71/8.79 fof(f22935,plain,(
% 66.71/8.79 spl0_1622 <=> ~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(sdtpldt0(sz10,xp),xp))=sdtpldt0(X0,sdtasdt0(sdtpldt0(sz10,xp),xp))),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f22936,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sdtasdt0(sdtpldt0(sz10,xp),xp))=sdtpldt0(X0,sdtasdt0(sdtpldt0(sz10,xp),xp))|~spl0_1622)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f22935])).
% 66.71/8.79 fof(f22980,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_1612)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f22882])).
% 66.71/8.79 fof(f22981,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_1614)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f22891])).
% 66.71/8.79 fof(f22982,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_1617)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f22906])).
% 66.71/8.79 fof(f22984,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_1622)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f22936])).
% 66.71/8.79 fof(f22985,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_1621)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f22930])).
% 66.71/8.79 fof(f22986,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_1620)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f22924])).
% 66.71/8.79 fof(f22988,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_1616)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f22900])).
% 66.71/8.79 fof(f22989,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_1611)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f22869])).
% 66.71/8.79 fof(f22990,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_1610)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f22860])).
% 66.71/8.79 fof(f22991,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_1609)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f22854])).
% 66.71/8.79 fof(f22992,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~spl0_1608)),
% 66.71/8.79 inference(trivial_equality_resolution,[status(esa)],[f22848])).
% 66.71/8.79 fof(f23026,plain,(
% 66.71/8.79 spl0_1625 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(sdtpldt0(xm,xp),xp),X0)=sdtpldt0(sdtpldt0(sdtpldt0(xm,xp),xp),X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f23027,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(sdtpldt0(xm,xp),xp),X0)=sdtpldt0(sdtpldt0(sdtpldt0(xm,xp),xp),X0)|~spl0_1625)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f23026])).
% 66.71/8.79 fof(f23041,plain,(
% 66.71/8.79 spl0_1627 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(sdtpldt0(sz10,xp),xp),X0)=sdtpldt0(sdtpldt0(sdtpldt0(sz10,xp),xp),X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f23042,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtpldt0(sdtpldt0(sz10,xp),xp),X0)=sdtpldt0(sdtpldt0(sdtpldt0(sz10,xp),xp),X0)|~spl0_1627)),
% 66.71/8.79 inference(component_clause,[status(thm)],[f23041])).
% 66.71/8.79 fof(f23054,plain,(
% 66.71/8.79 spl0_1628 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(sz10,sdtpldt0(xm,xp)),X0)=sdtpldt0(sdtasdt0(sz10,sdtpldt0(xm,xp)),X0)),
% 66.71/8.79 introduced(split_symbol_definition)).
% 66.71/8.79 fof(f23055,plain,(
% 66.71/8.79 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(sz10,sdtpldt0(xm,xp)),X0)=sdtpldt0(sdtasdt0(sz10,sdtpldt0(xm,xp)),X0)|~spl0_1628)),
% 67.17/8.80 inference(component_clause,[status(thm)],[f23054])).
% 67.17/8.80 fof(f23060,plain,(
% 67.17/8.80 spl0_1629 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xp)),X0)=sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xp)),X0)),
% 67.17/8.80 introduced(split_symbol_definition)).
% 67.17/8.80 fof(f23061,plain,(
% 67.17/8.80 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xp)),X0)=sdtpldt0(sdtasdt0(xm,sdtpldt0(xm,xp)),X0)|~spl0_1629)),
% 67.17/8.80 inference(component_clause,[status(thm)],[f23060])).
% 67.17/8.80 fof(f23093,plain,(
% 67.17/8.80 spl0_1634 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(sdtpldt0(xp,xp),xp),X0)=sdtpldt0(sdtasdt0(sdtpldt0(xp,xp),xp),X0)),
% 67.17/8.80 introduced(split_symbol_definition)).
% 67.17/8.80 fof(f23094,plain,(
% 67.17/8.80 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(sdtpldt0(xp,xp),xp),X0)=sdtpldt0(sdtasdt0(sdtpldt0(xp,xp),xp),X0)|~spl0_1634)),
% 67.17/8.80 inference(component_clause,[status(thm)],[f23093])).
% 67.17/8.80 fof(f23099,plain,(
% 67.17/8.80 spl0_1635 <=> ~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(sdtpldt0(sz10,xp),xp),X0)=sdtpldt0(sdtasdt0(sdtpldt0(sz10,xp),xp),X0)),
% 67.17/8.80 introduced(split_symbol_definition)).
% 67.17/8.80 fof(f23100,plain,(
% 67.17/8.80 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(sdtasdt0(sdtpldt0(sz10,xp),xp),X0)=sdtpldt0(sdtasdt0(sdtpldt0(sz10,xp),xp),X0)|~spl0_1635)),
% 67.17/8.80 inference(component_clause,[status(thm)],[f23099])).
% 67.17/8.80 fof(f23144,plain,(
% 67.17/8.80 ![X0]: (~aNaturalNumber0(X0)|~spl0_1635)),
% 67.17/8.80 inference(trivial_equality_resolution,[status(esa)],[f23100])).
% 67.17/8.80 fof(f23145,plain,(
% 67.17/8.80 ![X0]: (~aNaturalNumber0(X0)|~spl0_1634)),
% 67.17/8.80 inference(trivial_equality_resolution,[status(esa)],[f23094])).
% 67.17/8.80 fof(f23150,plain,(
% 67.17/8.80 ![X0]: (~aNaturalNumber0(X0)|~spl0_1629)),
% 67.17/8.80 inference(trivial_equality_resolution,[status(esa)],[f23061])).
% 67.17/8.80 fof(f23151,plain,(
% 67.17/8.80 ![X0]: (~aNaturalNumber0(X0)|~spl0_1628)),
% 67.17/8.80 inference(trivial_equality_resolution,[status(esa)],[f23055])).
% 67.17/8.80 fof(f23152,plain,(
% 67.17/8.80 ![X0]: (~aNaturalNumber0(X0)|~spl0_1627)),
% 67.17/8.80 inference(trivial_equality_resolution,[status(esa)],[f23042])).
% 67.17/8.80 fof(f23154,plain,(
% 67.17/8.80 ![X0]: (~aNaturalNumber0(X0)|~spl0_1625)),
% 67.17/8.80 inference(trivial_equality_resolution,[status(esa)],[f23027])).
% 67.17/8.80 fof(f23321,plain,(
% 67.17/8.80 $false|~spl0_1612),
% 67.17/8.80 inference(backward_subsumption_resolution,[status(thm)],[f171,f22980])).
% 67.17/8.80 fof(f23322,plain,(
% 67.17/8.80 ~spl0_1612),
% 67.17/8.80 inference(contradiction_clause,[status(thm)],[f23321])).
% 67.17/8.80 fof(f23323,plain,(
% 67.17/8.80 $false|~spl0_1614),
% 67.17/8.80 inference(forward_subsumption_resolution,[status(thm)],[f172,f22981])).
% 67.17/8.80 fof(f23324,plain,(
% 67.17/8.80 ~spl0_1614),
% 67.17/8.80 inference(contradiction_clause,[status(thm)],[f23323])).
% 67.17/8.80 fof(f23627,plain,(
% 67.17/8.80 $false|~spl0_1625),
% 67.17/8.80 inference(backward_subsumption_resolution,[status(thm)],[f56,f23154])).
% 67.17/8.80 fof(f23628,plain,(
% 67.17/8.80 ~spl0_1625),
% 67.17/8.80 inference(contradiction_clause,[status(thm)],[f23627])).
% 67.17/8.80 fof(f23629,plain,(
% 67.17/8.80 $false|~spl0_1628),
% 67.17/8.80 inference(forward_subsumption_resolution,[status(thm)],[f172,f23151])).
% 67.17/8.80 fof(f23630,plain,(
% 67.17/8.80 ~spl0_1628),
% 67.17/8.80 inference(contradiction_clause,[status(thm)],[f23629])).
% 67.17/8.80 fof(f23886,plain,(
% 67.17/8.80 $false|~spl0_1617),
% 67.17/8.80 inference(backward_subsumption_resolution,[status(thm)],[f171,f22982])).
% 67.17/8.80 fof(f23887,plain,(
% 67.17/8.80 ~spl0_1617),
% 67.17/8.80 inference(contradiction_clause,[status(thm)],[f23886])).
% 67.17/8.80 fof(f23893,plain,(
% 67.17/8.80 $false|~spl0_1609),
% 67.17/8.80 inference(forward_subsumption_resolution,[status(thm)],[f172,f22991])).
% 67.17/8.80 fof(f23894,plain,(
% 67.17/8.80 ~spl0_1609),
% 67.17/8.80 inference(contradiction_clause,[status(thm)],[f23893])).
% 67.17/8.80 fof(f24255,plain,(
% 67.17/8.80 ![X0]: (~aNaturalNumber0(X0)|aNaturalNumber0(sdtasdt0(X0,xm)))),
% 67.17/8.80 inference(resolution,[status(thm)],[f61,f171])).
% 67.17/8.80 fof(f24272,plain,(
% 67.17/8.80 $false|~spl0_1629),
% 67.17/8.80 inference(backward_subsumption_resolution,[status(thm)],[f56,f23150])).
% 67.17/8.80 fof(f24273,plain,(
% 67.17/8.80 ~spl0_1629),
% 67.17/8.80 inference(contradiction_clause,[status(thm)],[f24272])).
% 67.17/8.80 fof(f24690,plain,(
% 67.17/8.80 $false|~spl0_1611),
% 67.17/8.80 inference(backward_subsumption_resolution,[status(thm)],[f171,f22989])).
% 67.17/8.80 fof(f24691,plain,(
% 67.17/8.80 ~spl0_1611),
% 67.17/8.80 inference(contradiction_clause,[status(thm)],[f24690])).
% 67.17/8.80 fof(f24692,plain,(
% 67.17/8.80 $false|~spl0_1610),
% 67.17/8.80 inference(forward_subsumption_resolution,[status(thm)],[f172,f22990])).
% 67.17/8.80 fof(f24693,plain,(
% 67.17/8.80 ~spl0_1610),
% 67.17/8.80 inference(contradiction_clause,[status(thm)],[f24692])).
% 67.17/8.80 fof(f25043,plain,(
% 67.17/8.82 $false|~spl0_1622),
% 67.17/8.82 inference(backward_subsumption_resolution,[status(thm)],[f56,f22984])).
% 67.17/8.82 fof(f25044,plain,(
% 67.17/8.82 ~spl0_1622),
% 67.17/8.82 inference(contradiction_clause,[status(thm)],[f25043])).
% 67.17/8.82 fof(f25045,plain,(
% 67.17/8.82 $false|~spl0_1621),
% 67.17/8.82 inference(forward_subsumption_resolution,[status(thm)],[f172,f22985])).
% 67.17/8.82 fof(f25046,plain,(
% 67.17/8.82 ~spl0_1621),
% 67.17/8.82 inference(contradiction_clause,[status(thm)],[f25045])).
% 67.17/8.82 fof(f25221,plain,(
% 67.17/8.82 $false|~spl0_1608),
% 67.17/8.82 inference(backward_subsumption_resolution,[status(thm)],[f171,f22992])).
% 67.17/8.82 fof(f25222,plain,(
% 67.17/8.82 ~spl0_1608),
% 67.17/8.82 inference(contradiction_clause,[status(thm)],[f25221])).
% 67.17/8.82 fof(f25223,plain,(
% 67.17/8.82 $false|~spl0_1635),
% 67.17/8.82 inference(forward_subsumption_resolution,[status(thm)],[f172,f23144])).
% 67.17/8.82 fof(f25224,plain,(
% 67.17/8.82 ~spl0_1635),
% 67.17/8.82 inference(contradiction_clause,[status(thm)],[f25223])).
% 67.17/8.82 fof(f25587,plain,(
% 67.17/8.82 spl0_1668 <=> aNaturalNumber0(sdtasdt0(xn,xm))),
% 67.17/8.82 introduced(split_symbol_definition)).
% 67.17/8.82 fof(f25589,plain,(
% 67.17/8.82 ~aNaturalNumber0(sdtasdt0(xn,xm))|spl0_1668),
% 67.17/8.82 inference(component_clause,[status(thm)],[f25587])).
% 67.17/8.82 fof(f25602,plain,(
% 67.17/8.82 spl0_1671 <=> aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))),
% 67.17/8.82 introduced(split_symbol_definition)).
% 67.17/8.82 fof(f25603,plain,(
% 67.17/8.82 aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))|~spl0_1671),
% 67.17/8.82 inference(component_clause,[status(thm)],[f25602])).
% 67.17/8.82 fof(f25605,plain,(
% 67.17/8.82 ~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))|xp=sz00|aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))),
% 67.17/8.82 inference(resolution,[status(thm)],[f211,f176])).
% 67.17/8.82 fof(f25606,plain,(
% 67.17/8.82 ~spl0_54|~spl0_1668|spl0_13|spl0_1671),
% 67.17/8.82 inference(split_clause,[status(thm)],[f25605,f525,f25587,f277,f25602])).
% 67.17/8.82 fof(f25616,plain,(
% 67.17/8.82 aNaturalNumber0(xk)|~spl0_1671),
% 67.17/8.82 inference(forward_demodulation,[status(thm)],[f183,f25603])).
% 67.17/8.82 fof(f25631,plain,(
% 67.17/8.82 $false|~spl0_1620),
% 67.17/8.82 inference(backward_subsumption_resolution,[status(thm)],[f189,f22986])).
% 67.17/8.82 fof(f25632,plain,(
% 67.17/8.82 ~spl0_1620),
% 67.17/8.82 inference(contradiction_clause,[status(thm)],[f25631])).
% 67.17/8.82 fof(f25637,plain,(
% 67.17/8.82 $false|~spl0_1634),
% 67.17/8.82 inference(forward_subsumption_resolution,[status(thm)],[f172,f23145])).
% 67.17/8.82 fof(f25638,plain,(
% 67.17/8.82 ~spl0_1634),
% 67.17/8.82 inference(contradiction_clause,[status(thm)],[f25637])).
% 67.17/8.82 fof(f25952,plain,(
% 67.17/8.82 $false|~spl0_1616),
% 67.17/8.82 inference(backward_subsumption_resolution,[status(thm)],[f170,f22988])).
% 67.17/8.82 fof(f25953,plain,(
% 67.17/8.82 ~spl0_1616),
% 67.17/8.82 inference(contradiction_clause,[status(thm)],[f25952])).
% 67.17/8.82 fof(f26632,plain,(
% 67.17/8.82 $false|~spl0_1627),
% 67.17/8.82 inference(backward_subsumption_resolution,[status(thm)],[f171,f23152])).
% 67.17/8.82 fof(f26633,plain,(
% 67.17/8.82 ~spl0_1627),
% 67.17/8.82 inference(contradiction_clause,[status(thm)],[f26632])).
% 67.17/8.82 fof(f28367,plain,(
% 67.17/8.82 ~sz00=sz00|spl0_1453),
% 67.17/8.82 inference(forward_demodulation,[status(thm)],[f5515,f20476])).
% 67.17/8.82 fof(f28368,plain,(
% 67.17/8.82 $false|spl0_1453),
% 67.17/8.82 inference(trivial_equality_resolution,[status(esa)],[f28367])).
% 67.17/8.82 fof(f28369,plain,(
% 67.17/8.82 spl0_1453),
% 67.17/8.82 inference(contradiction_clause,[status(thm)],[f28368])).
% 67.17/8.82 fof(f29178,plain,(
% 67.17/8.82 ~aNaturalNumber0(xn)|spl0_1668),
% 67.17/8.82 inference(resolution,[status(thm)],[f25589,f24255])).
% 67.17/8.82 fof(f29179,plain,(
% 67.17/8.82 ~spl0_129|spl0_1668),
% 67.17/8.82 inference(split_clause,[status(thm)],[f29178,f1034,f25587])).
% 67.17/8.82 fof(f29180,plain,(
% 67.17/8.82 spl0_46|~spl0_1671),
% 67.17/8.82 inference(split_clause,[status(thm)],[f25616,f464,f25602])).
% 67.17/8.82 fof(f29181,plain,(
% 67.17/8.82 $false),
% 67.17/8.82 inference(sat_refutation,[status(thm)],[f203,f560,f1045,f1063,f2312,f3934,f3964,f3994,f4024,f4054,f4247,f4254,f4490,f6129,f6389,f6392,f8145,f8147,f8294,f8321,f8323,f8477,f9692,f9726,f9728,f10059,f10098,f10189,f10402,f10783,f10786,f11138,f11140,f11718,f12804,f12808,f13311,f13315,f13970,f13972,f14363,f14365,f14801,f14803,f15245,f15247,f15664,f15666,f15686,f15693,f16177,f16181,f16700,f18567,f18929,f20254,f20579,f20582,f20585,f20588,f20591,f20594,f20597,f20600,f21107,f21246,f21307,f22588,f23322,f23324,f23628,f23630,f23887,f23894,f24273,f24691,f24693,f25044,f25046,f25222,f25224,f25606,f25632,f25638,f25953,f26633,f28369,f29179,f29180])).
% 67.17/8.82 % SZS output end CNFRefutation for theBenchmark.p
% 67.17/8.84 % Elapsed time: 8.494436 seconds
% 67.17/8.84 % CPU time: 67.417028 seconds
% 67.17/8.84 % Memory used: 265.375 MB
%------------------------------------------------------------------------------