TSTP Solution File: NUM498+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM498+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 12:29:24 EDT 2023
% Result : Theorem 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM498+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.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 : Tue May 30 09:41:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.19/0.53 % Refutation found
% 0.19/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.53 fof(f2,axiom,(
% 0.19/0.53 aNaturalNumber0(sz00) ),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f3,axiom,(
% 0.19/0.53 ( aNaturalNumber0(sz10)& sz10 != sz00 ) ),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f5,axiom,(
% 0.19/0.53 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f8,axiom,(
% 0.19/0.53 (! [W0] :( aNaturalNumber0(W0)=> ( sdtpldt0(W0,sz00) = W0& W0 = sdtpldt0(sz00,W0) ) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f11,axiom,(
% 0.19/0.53 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz10) = W0& W0 = sdtasdt0(sz10,W0) ) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f12,axiom,(
% 0.19/0.53 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f14,axiom,(
% 0.19/0.53 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)| sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )=> W1 = W2 ) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f15,axiom,(
% 0.19/0.53 (! [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 ) ) )) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f16,axiom,(
% 0.19/0.53 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtpldt0(W0,W1) = sz00=> ( W0 = sz00& W1 = sz00 ) ) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f18,definition,(
% 0.19/0.53 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) )) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f19,definition,(
% 0.19/0.53 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)=> (! [W2] :( W2 = sdtmndt0(W1,W0)<=> ( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) ) )) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f20,axiom,(
% 0.19/0.53 (! [W0] :( aNaturalNumber0(W0)=> sdtlseqdt0(W0,W0) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f21,axiom,(
% 0.19/0.53 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f22,axiom,(
% 0.19/0.53 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W2) )=> sdtlseqdt0(W0,W2) ) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f23,axiom,(
% 0.19/0.53 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)| ( W1 != W0& sdtlseqdt0(W1,W0) ) ) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f25,axiom,(
% 0.19/0.53 (! [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)) ) ) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f27,axiom,(
% 0.19/0.53 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( W0 != sz00=> sdtlseqdt0(W1,sdtasdt0(W1,W0)) ) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f29,axiom,(
% 0.19/0.53 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( W0 != W1& sdtlseqdt0(W0,W1) )=> iLess0(W0,W1) ) ) )),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f39,hypothesis,(
% 0.19/0.53 ( aNaturalNumber0(xn)& aNaturalNumber0(xm)& aNaturalNumber0(xp) ) ),
% 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53 fof(f41,hypothesis,(
% 0.19/0.53 ( xp != sz00& xp != sz10& (! [W0] :( ( aNaturalNumber0(W0)& ( (? [W1] :( aNaturalNumber0(W1)& xp = sdtasdt0(W0,W1) ))| doDivides0(W0,xp) ) )=> ( W0 = sz10| W0 = xp ) ))& isPrime0(xp)& (? [W0] :( aNaturalNumber0(W0)& sdtasdt0(xn,xm) = sdtasdt0(xp,W0) ))& doDivides0(xp,sdtasdt0(xn,xm)) ) ),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f43,hypothesis,(
% 0.19/0.54 ~ ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xp,W0) = xm ))| sdtlseqdt0(xp,xm) ) ),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f44,hypothesis,(
% 0.19/0.54 ( xn != xp& (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xn,W0) = xp ))& sdtlseqdt0(xn,xp)& xm != xp& (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xm,W0) = xp ))& sdtlseqdt0(xm,xp) ) ),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f45,hypothesis,(
% 0.19/0.54 ( aNaturalNumber0(xk)& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ) ),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f46,conjecture,(
% 0.19/0.54 ( ( xk = sz00| xk = sz10 )=> ( (? [W0] :( aNaturalNumber0(W0)& xn = sdtasdt0(xp,W0) ))| doDivides0(xp,xn)| (? [W0] :( aNaturalNumber0(W0)& xm = sdtasdt0(xp,W0) ))| doDivides0(xp,xm) ) ) ),
% 0.19/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.54 fof(f47,negated_conjecture,(
% 0.19/0.54 ~(( ( xk = sz00| xk = sz10 )=> ( (? [W0] :( aNaturalNumber0(W0)& xn = sdtasdt0(xp,W0) ))| doDivides0(xp,xn)| (? [W0] :( aNaturalNumber0(W0)& xm = sdtasdt0(xp,W0) ))| doDivides0(xp,xm) ) ) )),
% 0.19/0.54 inference(negated_conjecture,[status(cth)],[f46])).
% 0.19/0.54 fof(f51,plain,(
% 0.19/0.54 aNaturalNumber0(sz00)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f2])).
% 0.19/0.54 fof(f52,plain,(
% 0.19/0.54 aNaturalNumber0(sz10)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.54 fof(f53,plain,(
% 0.19/0.54 ~sz10=sz00),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.54 fof(f56,plain,(
% 0.19/0.54 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.19/0.54 fof(f57,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f56])).
% 0.19/0.54 fof(f62,plain,(
% 0.19/0.54 ![W0]: (~aNaturalNumber0(W0)|(sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.19/0.54 fof(f63,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(X0,sz00)=X0)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f62])).
% 0.19/0.54 fof(f64,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|X0=sdtpldt0(sz00,X0))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f62])).
% 0.19/0.54 fof(f69,plain,(
% 0.19/0.54 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.19/0.54 fof(f70,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz10)=X0)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f69])).
% 0.19/0.54 fof(f71,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|X0=sdtasdt0(sz10,X0))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f69])).
% 0.19/0.54 fof(f72,plain,(
% 0.19/0.54 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.19/0.54 fof(f73,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz00)=sz00)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f72])).
% 0.19/0.54 fof(f78,plain,(
% 0.19/0.54 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtpldt0(W0,W1)=sdtpldt0(W0,W2)&~sdtpldt0(W1,W0)=sdtpldt0(W2,W0))|W1=W2))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.19/0.54 fof(f79,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X1)=sdtpldt0(X0,X2)|X1=X2)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f78])).
% 0.19/0.54 fof(f80,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtpldt0(X1,X0)=sdtpldt0(X2,X0)|X1=X2)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f78])).
% 0.19/0.54 fof(f81,plain,(
% 0.19/0.54 ![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)))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.19/0.54 fof(f82,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtasdt0(X0,X1)=sdtasdt0(X0,X2)|X1=X2)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f81])).
% 0.19/0.54 fof(f84,plain,(
% 0.19/0.54 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtpldt0(W0,W1)=sz00|(W0=sz00&W1=sz00)))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.19/0.54 fof(f85,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtpldt0(X0,X1)=sz00|X0=sz00)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f84])).
% 0.19/0.54 fof(f86,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtpldt0(X0,X1)=sz00|X1=sz00)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f84])).
% 0.19/0.54 fof(f89,plain,(
% 0.19/0.54 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.19/0.54 fof(f90,plain,(
% 0.19/0.54 ![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)))))),
% 0.19/0.54 inference(NNF_transformation,[status(esa)],[f89])).
% 0.19/0.54 fof(f91,plain,(
% 0.19/0.54 ![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)))))),
% 0.19/0.54 inference(skolemization,[status(esa)],[f90])).
% 0.19/0.54 fof(f92,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|aNaturalNumber0(sk0_0(X1,X0)))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f91])).
% 0.19/0.54 fof(f93,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|sdtpldt0(X0,sk0_0(X1,X0))=X1)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f91])).
% 0.19/0.54 fof(f95,plain,(
% 0.19/0.54 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|(![W2]: (W2=sdtmndt0(W1,W0)<=>(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.19/0.54 fof(f96,plain,(
% 0.19/0.54 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|(![W2]: ((~W2=sdtmndt0(W1,W0)|(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))&(W2=sdtmndt0(W1,W0)|(~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1))))))),
% 0.19/0.54 inference(NNF_transformation,[status(esa)],[f95])).
% 0.19/0.54 fof(f97,plain,(
% 0.19/0.54 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|((![W2]: (~W2=sdtmndt0(W1,W0)|(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))&(![W2]: (W2=sdtmndt0(W1,W0)|(~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1))))))),
% 0.19/0.54 inference(miniscoping,[status(esa)],[f96])).
% 0.19/0.54 fof(f98,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~X2=sdtmndt0(X1,X0)|aNaturalNumber0(X2))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f97])).
% 0.19/0.54 fof(f99,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~X2=sdtmndt0(X1,X0)|sdtpldt0(X0,X2)=X1)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f97])).
% 0.19/0.54 fof(f101,plain,(
% 0.19/0.54 ![W0]: (~aNaturalNumber0(W0)|sdtlseqdt0(W0,W0))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.19/0.54 fof(f102,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,X0))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f101])).
% 0.19/0.54 fof(f103,plain,(
% 0.19/0.54 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.19/0.54 fof(f104,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f103])).
% 0.19/0.54 fof(f105,plain,(
% 0.19/0.54 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W2))|sdtlseqdt0(W0,W2)))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.19/0.54 fof(f106,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|sdtlseqdt0(X0,X2))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f105])).
% 0.19/0.54 fof(f107,plain,(
% 0.19/0.54 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)|(~W1=W0&sdtlseqdt0(W1,W0))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.19/0.54 fof(f109,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f107])).
% 0.19/0.54 fof(f115,plain,(
% 0.19/0.54 ![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)))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 0.19/0.54 fof(f116,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~sdtasdt0(X0,X1)=sdtasdt0(X0,X2))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f115])).
% 0.19/0.54 fof(f123,plain,(
% 0.19/0.54 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(W0=sz00|sdtlseqdt0(W1,sdtasdt0(W1,W0))))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 0.19/0.54 fof(f124,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|sdtlseqdt0(X1,sdtasdt0(X1,X0)))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f123])).
% 0.19/0.54 fof(f127,plain,(
% 0.19/0.54 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=W1|~sdtlseqdt0(W0,W1))|iLess0(W0,W1)))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 0.19/0.54 fof(f128,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|iLess0(X0,X1))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f127])).
% 0.19/0.54 fof(f166,plain,(
% 0.19/0.54 aNaturalNumber0(xn)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f39])).
% 0.19/0.54 fof(f167,plain,(
% 0.19/0.54 aNaturalNumber0(xm)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f39])).
% 0.19/0.54 fof(f168,plain,(
% 0.19/0.54 aNaturalNumber0(xp)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f39])).
% 0.19/0.54 fof(f180,plain,(
% 0.19/0.54 ((((~xp=sz00&~xp=sz10)&(![W0]: ((~aNaturalNumber0(W0)|((![W1]: (~aNaturalNumber0(W1)|~xp=sdtasdt0(W0,W1)))&~doDivides0(W0,xp)))|(W0=sz10|W0=xp))))&isPrime0(xp))&(?[W0]: (aNaturalNumber0(W0)&sdtasdt0(xn,xm)=sdtasdt0(xp,W0))))&doDivides0(xp,sdtasdt0(xn,xm))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 0.19/0.54 fof(f181,plain,(
% 0.19/0.54 ((((~xp=sz00&~xp=sz10)&(![W0]: ((~aNaturalNumber0(W0)|((![W1]: (~aNaturalNumber0(W1)|~xp=sdtasdt0(W0,W1)))&~doDivides0(W0,xp)))|(W0=sz10|W0=xp))))&isPrime0(xp))&(aNaturalNumber0(sk0_5)&sdtasdt0(xn,xm)=sdtasdt0(xp,sk0_5)))&doDivides0(xp,sdtasdt0(xn,xm))),
% 0.19/0.54 inference(skolemization,[status(esa)],[f180])).
% 0.19/0.54 fof(f182,plain,(
% 0.19/0.54 ~xp=sz00),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f181])).
% 0.19/0.54 fof(f183,plain,(
% 0.19/0.54 ~xp=sz10),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f181])).
% 0.19/0.54 fof(f184,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~xp=sdtasdt0(X0,X1)|X0=sz10|X0=xp)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f181])).
% 0.19/0.54 fof(f193,plain,(
% 0.19/0.54 ((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(xp,W0)=xm))&~sdtlseqdt0(xp,xm))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.19/0.54 fof(f195,plain,(
% 0.19/0.54 ~sdtlseqdt0(xp,xm)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f193])).
% 0.19/0.54 fof(f196,plain,(
% 0.19/0.54 ((((~xn=xp&(aNaturalNumber0(sk0_6)&sdtpldt0(xn,sk0_6)=xp))&sdtlseqdt0(xn,xp))&~xm=xp)&(aNaturalNumber0(sk0_7)&sdtpldt0(xm,sk0_7)=xp))&sdtlseqdt0(xm,xp)),
% 0.19/0.54 inference(skolemization,[status(esa)],[f44])).
% 0.19/0.54 fof(f201,plain,(
% 0.19/0.54 ~xm=xp),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f196])).
% 0.19/0.54 fof(f204,plain,(
% 0.19/0.54 sdtlseqdt0(xm,xp)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f196])).
% 0.19/0.54 fof(f206,plain,(
% 0.19/0.54 sdtasdt0(xn,xm)=sdtasdt0(xp,xk)),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f45])).
% 0.19/0.54 fof(f208,plain,(
% 0.19/0.54 ((xk=sz00|xk=sz10)&((((![W0]: (~aNaturalNumber0(W0)|~xn=sdtasdt0(xp,W0)))&~doDivides0(xp,xn))&(![W0]: (~aNaturalNumber0(W0)|~xm=sdtasdt0(xp,W0))))&~doDivides0(xp,xm)))),
% 0.19/0.54 inference(pre_NNF_transformation,[status(esa)],[f47])).
% 0.19/0.54 fof(f209,plain,(
% 0.19/0.54 xk=sz00|xk=sz10),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f208])).
% 0.19/0.54 fof(f210,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~xn=sdtasdt0(xp,X0))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f208])).
% 0.19/0.54 fof(f212,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~xm=sdtasdt0(xp,X0))),
% 0.19/0.54 inference(cnf_transformation,[status(esa)],[f208])).
% 0.19/0.54 fof(f228,plain,(
% 0.19/0.54 spl0_0 <=> xk=sz00),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f229,plain,(
% 0.19/0.54 xk=sz00|~spl0_0),
% 0.19/0.54 inference(component_clause,[status(thm)],[f228])).
% 0.19/0.54 fof(f231,plain,(
% 0.19/0.54 spl0_1 <=> xk=sz10),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f232,plain,(
% 0.19/0.54 xk=sz10|~spl0_1),
% 0.19/0.54 inference(component_clause,[status(thm)],[f231])).
% 0.19/0.54 fof(f234,plain,(
% 0.19/0.54 spl0_0|spl0_1),
% 0.19/0.54 inference(split_clause,[status(thm)],[f209,f228,f231])).
% 0.19/0.54 fof(f236,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|aNaturalNumber0(sdtmndt0(X1,X0)))),
% 0.19/0.54 inference(destructive_equality_resolution,[status(esa)],[f98])).
% 0.19/0.54 fof(f237,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|sdtpldt0(X0,sdtmndt0(X1,X0))=X1)),
% 0.19/0.54 inference(destructive_equality_resolution,[status(esa)],[f99])).
% 0.19/0.54 fof(f248,plain,(
% 0.19/0.54 sdtasdt0(xn,xm)=sdtasdt0(xp,sz00)|~spl0_0),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f229,f206])).
% 0.19/0.54 fof(f249,plain,(
% 0.19/0.54 spl0_2 <=> aNaturalNumber0(sz00)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f251,plain,(
% 0.19/0.54 ~aNaturalNumber0(sz00)|spl0_2),
% 0.19/0.54 inference(component_clause,[status(thm)],[f249])).
% 0.19/0.54 fof(f257,plain,(
% 0.19/0.54 spl0_4 <=> xn=sdtasdt0(xn,xm)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f259,plain,(
% 0.19/0.54 ~xn=sdtasdt0(xn,xm)|spl0_4),
% 0.19/0.54 inference(component_clause,[status(thm)],[f257])).
% 0.19/0.54 fof(f260,plain,(
% 0.19/0.54 ~aNaturalNumber0(sz00)|~xn=sdtasdt0(xn,xm)|~spl0_0),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f248,f210])).
% 0.19/0.54 fof(f261,plain,(
% 0.19/0.54 ~spl0_2|~spl0_4|~spl0_0),
% 0.19/0.54 inference(split_clause,[status(thm)],[f260,f249,f257,f228])).
% 0.19/0.54 fof(f262,plain,(
% 0.19/0.54 spl0_5 <=> aNaturalNumber0(xp)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f264,plain,(
% 0.19/0.54 ~aNaturalNumber0(xp)|spl0_5),
% 0.19/0.54 inference(component_clause,[status(thm)],[f262])).
% 0.19/0.54 fof(f265,plain,(
% 0.19/0.54 spl0_6 <=> sdtasdt0(xn,xm)=sz00),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f266,plain,(
% 0.19/0.54 sdtasdt0(xn,xm)=sz00|~spl0_6),
% 0.19/0.54 inference(component_clause,[status(thm)],[f265])).
% 0.19/0.54 fof(f268,plain,(
% 0.19/0.54 ~aNaturalNumber0(xp)|sdtasdt0(xn,xm)=sz00|~spl0_0),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f248,f73])).
% 0.19/0.54 fof(f269,plain,(
% 0.19/0.54 ~spl0_5|spl0_6|~spl0_0),
% 0.19/0.54 inference(split_clause,[status(thm)],[f268,f262,f265,f228])).
% 0.19/0.54 fof(f275,plain,(
% 0.19/0.54 $false|spl0_5),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f264,f168])).
% 0.19/0.54 fof(f276,plain,(
% 0.19/0.54 spl0_5),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f275])).
% 0.19/0.54 fof(f279,plain,(
% 0.19/0.54 sdtasdt0(xn,xm)=sdtasdt0(xp,sz10)|~spl0_1),
% 0.19/0.54 inference(forward_demodulation,[status(thm)],[f232,f206])).
% 0.19/0.54 fof(f280,plain,(
% 0.19/0.54 spl0_8 <=> aNaturalNumber0(sz10)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f282,plain,(
% 0.19/0.54 ~aNaturalNumber0(sz10)|spl0_8),
% 0.19/0.54 inference(component_clause,[status(thm)],[f280])).
% 0.19/0.54 fof(f289,plain,(
% 0.19/0.54 $false|spl0_8),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f282,f52])).
% 0.19/0.54 fof(f290,plain,(
% 0.19/0.54 spl0_8),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f289])).
% 0.19/0.54 fof(f296,plain,(
% 0.19/0.54 ~xn=sz00|~spl0_6|spl0_4),
% 0.19/0.54 inference(backward_demodulation,[status(thm)],[f266,f259])).
% 0.19/0.54 fof(f301,plain,(
% 0.19/0.54 spl0_10 <=> aNaturalNumber0(xn)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f303,plain,(
% 0.19/0.54 ~aNaturalNumber0(xn)|spl0_10),
% 0.19/0.54 inference(component_clause,[status(thm)],[f301])).
% 0.19/0.54 fof(f304,plain,(
% 0.19/0.54 spl0_11 <=> aNaturalNumber0(xm)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f306,plain,(
% 0.19/0.54 ~aNaturalNumber0(xm)|spl0_11),
% 0.19/0.54 inference(component_clause,[status(thm)],[f304])).
% 0.19/0.54 fof(f309,plain,(
% 0.19/0.54 $false|spl0_11),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f306,f167])).
% 0.19/0.54 fof(f310,plain,(
% 0.19/0.54 spl0_11),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f309])).
% 0.19/0.54 fof(f311,plain,(
% 0.19/0.54 $false|spl0_10),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f303,f166])).
% 0.19/0.54 fof(f312,plain,(
% 0.19/0.54 spl0_10),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f311])).
% 0.19/0.54 fof(f313,plain,(
% 0.19/0.54 spl0_12 <=> sz00=sz00),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f327,plain,(
% 0.19/0.54 ~aNaturalNumber0(sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sz00)|sz00=sz00),
% 0.19/0.54 inference(resolution,[status(thm)],[f63,f86])).
% 0.19/0.54 fof(f328,plain,(
% 0.19/0.54 ~spl0_2|spl0_12),
% 0.19/0.54 inference(split_clause,[status(thm)],[f327,f249,f313])).
% 0.19/0.54 fof(f362,plain,(
% 0.19/0.54 sz00=sdtasdt0(xp,sz10)|~spl0_6|~spl0_1),
% 0.19/0.54 inference(backward_demodulation,[status(thm)],[f266,f279])).
% 0.19/0.54 fof(f366,plain,(
% 0.19/0.54 spl0_18 <=> xm=sz00),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f371,plain,(
% 0.19/0.54 spl0_19 <=> xn=sz00),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f372,plain,(
% 0.19/0.54 xn=sz00|~spl0_19),
% 0.19/0.54 inference(component_clause,[status(thm)],[f371])).
% 0.19/0.54 fof(f411,plain,(
% 0.19/0.54 spl0_24 <=> sz00=xp),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f412,plain,(
% 0.19/0.54 sz00=xp|~spl0_24),
% 0.19/0.54 inference(component_clause,[status(thm)],[f411])).
% 0.19/0.54 fof(f414,plain,(
% 0.19/0.54 ~aNaturalNumber0(xp)|sz00=xp|~spl0_6|~spl0_1),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f362,f70])).
% 0.19/0.54 fof(f415,plain,(
% 0.19/0.54 ~spl0_5|spl0_24|~spl0_6|~spl0_1),
% 0.19/0.54 inference(split_clause,[status(thm)],[f414,f262,f411,f265,f231])).
% 0.19/0.54 fof(f416,plain,(
% 0.19/0.54 $false|~spl0_24),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f412,f182])).
% 0.19/0.54 fof(f417,plain,(
% 0.19/0.54 ~spl0_24),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f416])).
% 0.19/0.54 fof(f418,plain,(
% 0.19/0.54 $false|spl0_2),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f251,f51])).
% 0.19/0.54 fof(f419,plain,(
% 0.19/0.54 spl0_2),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f418])).
% 0.19/0.54 fof(f428,plain,(
% 0.19/0.54 spl0_25 <=> sdtasdt0(xn,xm)=xp),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f429,plain,(
% 0.19/0.54 sdtasdt0(xn,xm)=xp|~spl0_25),
% 0.19/0.54 inference(component_clause,[status(thm)],[f428])).
% 0.19/0.54 fof(f431,plain,(
% 0.19/0.54 ~aNaturalNumber0(xp)|sdtasdt0(xn,xm)=xp|~spl0_1),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f279,f70])).
% 0.19/0.54 fof(f432,plain,(
% 0.19/0.54 ~spl0_5|spl0_25|~spl0_1),
% 0.19/0.54 inference(split_clause,[status(thm)],[f431,f262,f428,f231])).
% 0.19/0.54 fof(f447,plain,(
% 0.19/0.54 xp=sdtasdt0(xp,sz10)|~spl0_25|~spl0_1),
% 0.19/0.54 inference(backward_demodulation,[status(thm)],[f429,f279])).
% 0.19/0.54 fof(f457,plain,(
% 0.19/0.54 spl0_29 <=> xp=sz10),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f458,plain,(
% 0.19/0.54 xp=sz10|~spl0_29),
% 0.19/0.54 inference(component_clause,[status(thm)],[f457])).
% 0.19/0.54 fof(f460,plain,(
% 0.19/0.54 spl0_30 <=> xp=xp),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f475,plain,(
% 0.19/0.54 $false|~spl0_29),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f458,f183])).
% 0.19/0.54 fof(f476,plain,(
% 0.19/0.54 ~spl0_29),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f475])).
% 0.19/0.54 fof(f477,plain,(
% 0.19/0.54 spl0_33 <=> xm=xp),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f478,plain,(
% 0.19/0.54 xm=xp|~spl0_33),
% 0.19/0.54 inference(component_clause,[status(thm)],[f477])).
% 0.19/0.54 fof(f482,plain,(
% 0.19/0.54 spl0_34 <=> xn=xp),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f485,plain,(
% 0.19/0.54 ~aNaturalNumber0(sz10)|~xn=xp|~spl0_25|~spl0_1),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f447,f210])).
% 0.19/0.54 fof(f486,plain,(
% 0.19/0.54 ~spl0_8|~spl0_34|~spl0_25|~spl0_1),
% 0.19/0.54 inference(split_clause,[status(thm)],[f485,f280,f482,f428,f231])).
% 0.19/0.54 fof(f558,plain,(
% 0.19/0.54 spl0_42 <=> sz10=sz10),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f561,plain,(
% 0.19/0.54 ~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)|sz10=sz10|sz10=xp|~aNaturalNumber0(xp)),
% 0.19/0.54 inference(resolution,[status(thm)],[f184,f71])).
% 0.19/0.54 fof(f562,plain,(
% 0.19/0.54 ~spl0_8|~spl0_5|spl0_42|spl0_29),
% 0.19/0.54 inference(split_clause,[status(thm)],[f561,f280,f262,f558,f457])).
% 0.19/0.54 fof(f565,plain,(
% 0.19/0.54 spl0_43 <=> xn=sz10),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f566,plain,(
% 0.19/0.54 xn=sz10|~spl0_43),
% 0.19/0.54 inference(component_clause,[status(thm)],[f565])).
% 0.19/0.54 fof(f568,plain,(
% 0.19/0.54 ~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|xn=sz10|xn=xp|~spl0_25),
% 0.19/0.54 inference(resolution,[status(thm)],[f184,f429])).
% 0.19/0.54 fof(f569,plain,(
% 0.19/0.54 ~spl0_10|~spl0_11|spl0_43|spl0_34|~spl0_25),
% 0.19/0.54 inference(split_clause,[status(thm)],[f568,f301,f304,f565,f482,f428])).
% 0.19/0.54 fof(f570,plain,(
% 0.19/0.54 ~aNaturalNumber0(xp)|~aNaturalNumber0(sz10)|xp=sz10|xp=xp|~aNaturalNumber0(xp)),
% 0.19/0.54 inference(resolution,[status(thm)],[f184,f70])).
% 0.19/0.54 fof(f571,plain,(
% 0.19/0.54 ~spl0_5|~spl0_8|spl0_29|spl0_30),
% 0.19/0.54 inference(split_clause,[status(thm)],[f570,f262,f280,f457,f460])).
% 0.19/0.54 fof(f580,plain,(
% 0.19/0.54 sdtasdt0(sz10,xm)=xp|~spl0_43|~spl0_25),
% 0.19/0.54 inference(backward_demodulation,[status(thm)],[f566,f429])).
% 0.19/0.54 fof(f594,plain,(
% 0.19/0.54 ~aNaturalNumber0(xm)|xm=xp|~spl0_43|~spl0_25),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f580,f71])).
% 0.19/0.54 fof(f595,plain,(
% 0.19/0.54 ~spl0_11|spl0_33|~spl0_43|~spl0_25),
% 0.19/0.54 inference(split_clause,[status(thm)],[f594,f304,f477,f565,f428])).
% 0.19/0.54 fof(f614,plain,(
% 0.19/0.54 spl0_47 <=> ~aNaturalNumber0(X0)|X0=sz00),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f615,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|~spl0_47)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f614])).
% 0.19/0.54 fof(f617,plain,(
% 0.19/0.54 spl0_48 <=> ~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X1=X1),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f620,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X1=X1)),
% 0.19/0.54 inference(equality_resolution,[status(esa)],[f82])).
% 0.19/0.54 fof(f621,plain,(
% 0.19/0.54 spl0_47|spl0_48),
% 0.19/0.54 inference(split_clause,[status(thm)],[f620,f614,f617])).
% 0.19/0.54 fof(f712,plain,(
% 0.19/0.54 sz10=sz00|~spl0_47),
% 0.19/0.54 inference(resolution,[status(thm)],[f615,f52])).
% 0.19/0.54 fof(f713,plain,(
% 0.19/0.54 $false|~spl0_47),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f712,f53])).
% 0.19/0.54 fof(f714,plain,(
% 0.19/0.54 ~spl0_47),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f713])).
% 0.19/0.54 fof(f715,plain,(
% 0.19/0.54 sz00=sdtasdt0(xp,sz00)|~spl0_6|~spl0_0),
% 0.19/0.54 inference(backward_demodulation,[status(thm)],[f266,f248])).
% 0.19/0.54 fof(f753,plain,(
% 0.19/0.54 ~aNaturalNumber0(sz00)|~xm=sz00|~spl0_6|~spl0_0),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f715,f212])).
% 0.19/0.54 fof(f754,plain,(
% 0.19/0.54 ~spl0_2|~spl0_18|~spl0_6|~spl0_0),
% 0.19/0.54 inference(split_clause,[status(thm)],[f753,f249,f366,f265,f228])).
% 0.19/0.54 fof(f844,plain,(
% 0.19/0.54 spl0_79 <=> sdtlseqdt0(xm,xp)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f847,plain,(
% 0.19/0.54 ~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|sdtlseqdt0(xm,xp)),
% 0.19/0.54 inference(resolution,[status(thm)],[f109,f195])).
% 0.19/0.54 fof(f848,plain,(
% 0.19/0.54 ~spl0_11|~spl0_5|spl0_79),
% 0.19/0.54 inference(split_clause,[status(thm)],[f847,f304,f262,f844])).
% 0.19/0.54 fof(f884,plain,(
% 0.19/0.54 spl0_86 <=> sdtlseqdt0(xp,xm)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f887,plain,(
% 0.19/0.54 ~aNaturalNumber0(xp)|~aNaturalNumber0(xm)|~sdtlseqdt0(xp,xm)|xp=xm),
% 0.19/0.54 inference(resolution,[status(thm)],[f104,f204])).
% 0.19/0.54 fof(f888,plain,(
% 0.19/0.54 ~spl0_5|~spl0_11|~spl0_86|spl0_33),
% 0.19/0.54 inference(split_clause,[status(thm)],[f887,f262,f304,f884,f477])).
% 0.19/0.54 fof(f894,plain,(
% 0.19/0.54 spl0_87 <=> sdtlseqdt0(xn,sz00)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f895,plain,(
% 0.19/0.54 sdtlseqdt0(xn,sz00)|~spl0_87),
% 0.19/0.54 inference(component_clause,[status(thm)],[f894])).
% 0.19/0.54 fof(f904,plain,(
% 0.19/0.54 spl0_89 <=> iLess0(xm,xp)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f907,plain,(
% 0.19/0.54 ~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|xm=xp|iLess0(xm,xp)),
% 0.19/0.54 inference(resolution,[status(thm)],[f128,f204])).
% 0.19/0.54 fof(f908,plain,(
% 0.19/0.54 ~spl0_11|~spl0_5|spl0_33|spl0_89),
% 0.19/0.54 inference(split_clause,[status(thm)],[f907,f304,f262,f477,f904])).
% 0.19/0.54 fof(f914,plain,(
% 0.19/0.54 $false|~spl0_33),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f478,f201])).
% 0.19/0.54 fof(f915,plain,(
% 0.19/0.54 ~spl0_33),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f914])).
% 0.19/0.54 fof(f941,plain,(
% 0.19/0.54 spl0_91 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_0(sz00,X0))|X0=sz00),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f944,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_0(sz00,X0))|X0=sz00)),
% 0.19/0.54 inference(resolution,[status(thm)],[f93,f85])).
% 0.19/0.54 fof(f945,plain,(
% 0.19/0.54 spl0_91|~spl0_2),
% 0.19/0.54 inference(split_clause,[status(thm)],[f944,f941,f249])).
% 0.19/0.54 fof(f946,plain,(
% 0.19/0.54 spl0_92 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_0(sz00,X0))|sk0_0(sz00,X0)=sz00),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f947,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_0(sz00,X0))|sk0_0(sz00,X0)=sz00|~spl0_92)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f946])).
% 0.19/0.54 fof(f949,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_0(sz00,X0))|sk0_0(sz00,X0)=sz00)),
% 0.19/0.54 inference(resolution,[status(thm)],[f93,f86])).
% 0.19/0.54 fof(f950,plain,(
% 0.19/0.54 spl0_92|~spl0_2),
% 0.19/0.54 inference(split_clause,[status(thm)],[f949,f946,f249])).
% 0.19/0.54 fof(f952,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(sk0_0(sz00,X0))|sk0_0(sz00,X0)=sz00|~spl0_92)),
% 0.19/0.54 inference(duplicate_literals_removal,[status(esa)],[f947])).
% 0.19/0.54 fof(f958,plain,(
% 0.19/0.54 spl0_94 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtmndt0(sz00,X0))|X0=sz00),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f959,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtmndt0(sz00,X0))|X0=sz00|~spl0_94)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f958])).
% 0.19/0.54 fof(f961,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtmndt0(sz00,X0))|X0=sz00)),
% 0.19/0.54 inference(resolution,[status(thm)],[f237,f85])).
% 0.19/0.54 fof(f962,plain,(
% 0.19/0.54 spl0_94|~spl0_2),
% 0.19/0.54 inference(split_clause,[status(thm)],[f961,f958,f249])).
% 0.19/0.54 fof(f963,plain,(
% 0.19/0.54 spl0_95 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtmndt0(sz00,X0))|sdtmndt0(sz00,X0)=sz00),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f964,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtmndt0(sz00,X0))|sdtmndt0(sz00,X0)=sz00|~spl0_95)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f963])).
% 0.19/0.54 fof(f966,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtmndt0(sz00,X0))|sdtmndt0(sz00,X0)=sz00)),
% 0.19/0.54 inference(resolution,[status(thm)],[f237,f86])).
% 0.19/0.54 fof(f967,plain,(
% 0.19/0.54 spl0_95|~spl0_2),
% 0.19/0.54 inference(split_clause,[status(thm)],[f966,f963,f249])).
% 0.19/0.54 fof(f968,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(sdtmndt0(sz00,X0))|X0=sz00|~spl0_94)),
% 0.19/0.54 inference(duplicate_literals_removal,[status(esa)],[f959])).
% 0.19/0.54 fof(f969,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(sdtmndt0(sz00,X0))|sdtmndt0(sz00,X0)=sz00|~spl0_95)),
% 0.19/0.54 inference(duplicate_literals_removal,[status(esa)],[f964])).
% 0.19/0.54 fof(f972,plain,(
% 0.19/0.54 spl0_96 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|X0=sz00|~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f973,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|X0=sz00|~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~spl0_96)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f972])).
% 0.19/0.54 fof(f975,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|X0=sz00|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|~spl0_94)),
% 0.19/0.54 inference(resolution,[status(thm)],[f968,f236])).
% 0.19/0.54 fof(f976,plain,(
% 0.19/0.54 spl0_96|~spl0_2|~spl0_94),
% 0.19/0.54 inference(split_clause,[status(thm)],[f975,f972,f249,f958])).
% 0.19/0.54 fof(f977,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|X0=sz00|~spl0_96)),
% 0.19/0.54 inference(duplicate_literals_removal,[status(esa)],[f973])).
% 0.19/0.54 fof(f978,plain,(
% 0.19/0.54 spl0_97 <=> ~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f981,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|~spl0_96)),
% 0.19/0.54 inference(resolution,[status(thm)],[f977,f109])).
% 0.19/0.54 fof(f982,plain,(
% 0.19/0.54 spl0_97|~spl0_2|~spl0_96),
% 0.19/0.54 inference(split_clause,[status(thm)],[f981,f978,f249,f972])).
% 0.19/0.54 fof(f991,plain,(
% 0.19/0.54 spl0_98 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,X0))|X0=sdtpldt0(sz00,X0)|~aNaturalNumber0(sdtpldt0(sz00,X0))),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f994,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,X0))|X0=sdtpldt0(sz00,X0)|~aNaturalNumber0(sdtpldt0(sz00,X0)))),
% 0.19/0.54 inference(resolution,[status(thm)],[f79,f64])).
% 0.19/0.54 fof(f995,plain,(
% 0.19/0.54 ~spl0_2|spl0_98),
% 0.19/0.54 inference(split_clause,[status(thm)],[f994,f249,f991])).
% 0.19/0.54 fof(f1009,plain,(
% 0.19/0.54 spl0_100 <=> ~aNaturalNumber0(sdtpldt0(X0,sz00))|~aNaturalNumber0(X0)|sdtpldt0(X0,sz00)=X0|~aNaturalNumber0(sdtpldt0(X0,sz00))),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1012,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtpldt0(X0,sz00))|~aNaturalNumber0(X0)|sdtpldt0(X0,sz00)=X0|~aNaturalNumber0(sdtpldt0(X0,sz00)))),
% 0.19/0.54 inference(resolution,[status(thm)],[f80,f63])).
% 0.19/0.54 fof(f1013,plain,(
% 0.19/0.54 ~spl0_2|spl0_100),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1012,f249,f1009])).
% 0.19/0.54 fof(f1036,plain,(
% 0.19/0.54 spl0_102 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|sdtlseqdt0(X0,xp)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1037,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|sdtlseqdt0(X0,xp)|~spl0_102)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f1036])).
% 0.19/0.54 fof(f1039,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|~sdtlseqdt0(X0,xm)|sdtlseqdt0(X0,xp))),
% 0.19/0.54 inference(resolution,[status(thm)],[f106,f204])).
% 0.19/0.54 fof(f1040,plain,(
% 0.19/0.54 spl0_102|~spl0_11|~spl0_5),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1039,f1036,f304,f262])).
% 0.19/0.54 fof(f1041,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))|~sdtlseqdt0(X0,X1)|sdtlseqdt0(X0,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|X2=sz00)),
% 0.19/0.54 inference(resolution,[status(thm)],[f106,f124])).
% 0.19/0.54 fof(f1042,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))|~sdtlseqdt0(X0,X1)|sdtlseqdt0(X0,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|X2=sz00)),
% 0.19/0.54 inference(duplicate_literals_removal,[status(esa)],[f1041])).
% 0.19/0.54 fof(f1043,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|sdtlseqdt0(X0,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|X2=sz00)),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f1042,f57])).
% 0.19/0.54 fof(f1044,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|sdtlseqdt0(X0,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|sdtlseqdt0(X2,X1))),
% 0.19/0.54 inference(resolution,[status(thm)],[f106,f109])).
% 0.19/0.54 fof(f1045,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X2,X1))),
% 0.19/0.54 inference(duplicate_literals_removal,[status(esa)],[f1044])).
% 0.19/0.54 fof(f1046,plain,(
% 0.19/0.54 spl0_103 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(X0,xp)|~aNaturalNumber0(X0)|sdtlseqdt0(xm,X0)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1049,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,xp)|~aNaturalNumber0(xm)|~aNaturalNumber0(X0)|sdtlseqdt0(xm,X0)|~spl0_102)),
% 0.19/0.54 inference(resolution,[status(thm)],[f1037,f109])).
% 0.19/0.54 fof(f1050,plain,(
% 0.19/0.54 spl0_103|~spl0_11|~spl0_102),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1049,f1046,f304,f1036])).
% 0.19/0.54 fof(f1054,plain,(
% 0.19/0.54 spl0_104 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(xm,X0)|sdtlseqdt0(X0,xp)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1057,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|sdtlseqdt0(xm,X0)|sdtlseqdt0(X0,xp))),
% 0.19/0.54 inference(resolution,[status(thm)],[f1045,f204])).
% 0.19/0.54 fof(f1058,plain,(
% 0.19/0.54 ~spl0_11|~spl0_5|spl0_104),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1057,f304,f262,f1054])).
% 0.19/0.54 fof(f1062,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|sdtlseqdt0(X1,X0))),
% 0.19/0.54 inference(resolution,[status(thm)],[f1045,f109])).
% 0.19/0.54 fof(f1063,plain,(
% 0.19/0.54 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X2,X1)|sdtlseqdt0(X1,X0))),
% 0.19/0.54 inference(duplicate_literals_removal,[status(esa)],[f1062])).
% 0.19/0.54 fof(f1073,plain,(
% 0.19/0.54 spl0_106 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(xm,X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X1,xp)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1076,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xm)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(xm,X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X1,xp)|~spl0_102)),
% 0.19/0.54 inference(resolution,[status(thm)],[f1063,f1037])).
% 0.19/0.54 fof(f1077,plain,(
% 0.19/0.54 spl0_106|~spl0_11|~spl0_102),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1076,f1073,f304,f1036])).
% 0.19/0.54 fof(f1080,plain,(
% 0.19/0.54 spl0_107 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(sz00,X0)|~aNaturalNumber0(X1)|X1=sz00),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1083,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(sz00,X0)|~aNaturalNumber0(X1)|X1=sz00|~spl0_96)),
% 0.19/0.54 inference(resolution,[status(thm)],[f1063,f977])).
% 0.19/0.54 fof(f1084,plain,(
% 0.19/0.54 spl0_107|~spl0_2|~spl0_96),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1083,f1080,f249,f972])).
% 0.19/0.54 fof(f1111,plain,(
% 0.19/0.54 spl0_108 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|sdtmndt0(sz00,X0)=sz00|~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1114,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|sdtmndt0(sz00,X0)=sz00|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|~spl0_95)),
% 0.19/0.54 inference(resolution,[status(thm)],[f969,f236])).
% 0.19/0.54 fof(f1115,plain,(
% 0.19/0.54 spl0_108|~spl0_2|~spl0_95),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1114,f1111,f249,f963])).
% 0.19/0.54 fof(f1134,plain,(
% 0.19/0.54 spl0_110 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|sdtlseqdt0(X0,sz00)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1135,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|sdtlseqdt0(X0,sz00)|~spl0_110)),
% 0.19/0.54 inference(component_clause,[status(thm)],[f1134])).
% 0.19/0.54 fof(f1137,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|~sdtlseqdt0(X0,xn)|sdtlseqdt0(X0,sz00)|~aNaturalNumber0(xm)|xm=sz00|~spl0_6)),
% 0.19/0.54 inference(paramodulation,[status(thm)],[f266,f1043])).
% 0.19/0.54 fof(f1138,plain,(
% 0.19/0.54 spl0_110|~spl0_10|~spl0_11|spl0_18|~spl0_6),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1137,f1134,f301,f304,f366,f265])).
% 0.19/0.54 fof(f1149,plain,(
% 0.19/0.54 spl0_113 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(xn,X1)|sdtlseqdt0(X1,X0)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1152,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(xn,X1)|sdtlseqdt0(X1,X0)|~spl0_110)),
% 0.19/0.54 inference(resolution,[status(thm)],[f1135,f1063])).
% 0.19/0.54 fof(f1153,plain,(
% 0.19/0.54 spl0_113|~spl0_10|~spl0_110),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1152,f1149,f301,f1134])).
% 0.19/0.54 fof(f1158,plain,(
% 0.19/0.54 spl0_114 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|sdtlseqdt0(xn,X0)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1161,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|sdtlseqdt0(xn,X0)|~spl0_110)),
% 0.19/0.54 inference(resolution,[status(thm)],[f1135,f109])).
% 0.19/0.54 fof(f1162,plain,(
% 0.19/0.54 spl0_114|~spl0_10|~spl0_110),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1161,f1158,f301,f1134])).
% 0.19/0.54 fof(f1163,plain,(
% 0.19/0.54 ~aNaturalNumber0(xn)|sdtlseqdt0(xn,sz00)|~aNaturalNumber0(xn)|~spl0_110),
% 0.19/0.54 inference(resolution,[status(thm)],[f1135,f102])).
% 0.19/0.54 fof(f1164,plain,(
% 0.19/0.54 ~spl0_10|spl0_87|~spl0_110),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1163,f301,f894,f1134])).
% 0.19/0.54 fof(f1184,plain,(
% 0.19/0.54 spl0_116 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(xn,X0)|sdtlseqdt0(X0,sz00)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1194,plain,(
% 0.19/0.54 spl0_118 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|sk0_0(sz00,X0)=sz00),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1197,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|sk0_0(sz00,X0)=sz00|~spl0_92)),
% 0.19/0.54 inference(resolution,[status(thm)],[f92,f952])).
% 0.19/0.54 fof(f1198,plain,(
% 0.19/0.54 spl0_118|~spl0_2|~spl0_92),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1197,f1194,f249,f946])).
% 0.19/0.54 fof(f1272,plain,(
% 0.19/0.54 spl0_127 <=> ~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X1=X1|~sdtlseqdt0(X1,X1)),
% 0.19/0.54 introduced(split_symbol_definition)).
% 0.19/0.54 fof(f1275,plain,(
% 0.19/0.54 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X0=sz00|X1=X1|~sdtlseqdt0(X1,X1))),
% 0.19/0.54 inference(equality_resolution,[status(esa)],[f116])).
% 0.19/0.54 fof(f1276,plain,(
% 0.19/0.54 spl0_47|spl0_127),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1275,f614,f1272])).
% 0.19/0.54 fof(f1396,plain,(
% 0.19/0.54 $false|~spl0_6|spl0_4|~spl0_19),
% 0.19/0.54 inference(forward_subsumption_resolution,[status(thm)],[f372,f296])).
% 0.19/0.54 fof(f1397,plain,(
% 0.19/0.54 ~spl0_6|spl0_4|~spl0_19),
% 0.19/0.54 inference(contradiction_clause,[status(thm)],[f1396])).
% 0.19/0.54 fof(f1400,plain,(
% 0.19/0.54 ~aNaturalNumber0(xn)|xn=sz00|~spl0_87|~spl0_96),
% 0.19/0.54 inference(resolution,[status(thm)],[f895,f977])).
% 0.19/0.54 fof(f1401,plain,(
% 0.19/0.54 ~spl0_10|spl0_19|~spl0_87|~spl0_96),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1400,f301,f371,f894,f972])).
% 0.19/0.54 fof(f1402,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|sdtlseqdt0(xn,X0)|sdtlseqdt0(X0,sz00)|~spl0_87)),
% 0.19/0.54 inference(resolution,[status(thm)],[f895,f1045])).
% 0.19/0.54 fof(f1403,plain,(
% 0.19/0.54 ~spl0_10|~spl0_2|spl0_116|~spl0_87),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1402,f301,f249,f1184,f894])).
% 0.19/0.54 fof(f1404,plain,(
% 0.19/0.54 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,xn)|sdtlseqdt0(X0,sz00)|~spl0_87)),
% 0.19/0.54 inference(resolution,[status(thm)],[f895,f106])).
% 0.19/0.54 fof(f1405,plain,(
% 0.19/0.54 spl0_110|~spl0_10|~spl0_2|~spl0_87),
% 0.19/0.54 inference(split_clause,[status(thm)],[f1404,f1134,f301,f249,f894])).
% 0.19/0.54 fof(f1416,plain,(
% 0.19/0.54 $false),
% 0.19/0.54 inference(sat_refutation,[status(thm)],[f234,f261,f269,f276,f290,f310,f312,f328,f415,f417,f419,f432,f476,f486,f562,f569,f571,f595,f621,f714,f754,f848,f888,f908,f915,f945,f950,f962,f967,f976,f982,f995,f1013,f1040,f1050,f1058,f1077,f1084,f1115,f1138,f1153,f1162,f1164,f1198,f1276,f1397,f1401,f1403,f1405])).
% 0.19/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.54 % Elapsed time: 0.193078 seconds
% 0.19/0.54 % CPU time: 1.396181 seconds
% 0.19/0.54 % Memory used: 72.188 MB
%------------------------------------------------------------------------------