TSTP Solution File: NUM503+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM503+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 11.15s 2.14s
% Output : CNFRefutation 11.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM503+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:09:33 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.36 % Drodi V3.5.1
% 11.15/2.14 % Refutation found
% 11.15/2.14 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.15/2.14 % SZS output start CNFRefutation for theBenchmark
% 11.15/2.14 fof(f2,axiom,(
% 11.15/2.14 aNaturalNumber0(sz00) ),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f3,axiom,(
% 11.15/2.14 ( aNaturalNumber0(sz10)& sz10 != sz00 ) ),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f4,axiom,(
% 11.15/2.14 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f5,axiom,(
% 11.15/2.14 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f8,axiom,(
% 11.15/2.14 (! [W0] :( aNaturalNumber0(W0)=> ( sdtpldt0(W0,sz00) = W0& W0 = sdtpldt0(sz00,W0) ) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f9,axiom,(
% 11.15/2.14 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f10,axiom,(
% 11.15/2.14 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> sdtasdt0(sdtasdt0(W0,W1),W2) = sdtasdt0(W0,sdtasdt0(W1,W2)) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f11,axiom,(
% 11.15/2.14 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz10) = W0& W0 = sdtasdt0(sz10,W0) ) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f12,axiom,(
% 11.15/2.14 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f13,axiom,(
% 11.15/2.14 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))& sdtasdt0(sdtpldt0(W1,W2),W0) = sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0)) ) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f14,axiom,(
% 11.15/2.14 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)| sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )=> W1 = W2 ) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f15,axiom,(
% 11.15/2.14 (! [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 ) ) )) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f16,axiom,(
% 11.15/2.14 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtpldt0(W0,W1) = sz00=> ( W0 = sz00& W1 = sz00 ) ) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f17,axiom,(
% 11.15/2.14 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtasdt0(W0,W1) = sz00=> ( W0 = sz00| W1 = sz00 ) ) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f18,definition,(
% 11.15/2.14 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) )) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f19,definition,(
% 11.15/2.14 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)=> (! [W2] :( W2 = sdtmndt0(W1,W0)<=> ( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) ) )) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f20,axiom,(
% 11.15/2.14 (! [W0] :( aNaturalNumber0(W0)=> sdtlseqdt0(W0,W0) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f21,axiom,(
% 11.15/2.14 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f22,axiom,(
% 11.15/2.14 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W2) )=> sdtlseqdt0(W0,W2) ) ) )),
% 11.15/2.14 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.14 fof(f23,axiom,(
% 11.15/2.14 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)| ( W1 != W0& sdtlseqdt0(W1,W0) ) ) ) )),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f24,axiom,(
% 11.15/2.16 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( W0 != W1& sdtlseqdt0(W0,W1) )=> (! [W2] :( aNaturalNumber0(W2)=> ( sdtpldt0(W2,W0) != sdtpldt0(W2,W1)& sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1))& sdtpldt0(W0,W2) != sdtpldt0(W1,W2)& sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)) ) ) )) ) )),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f25,axiom,(
% 11.15/2.16 (! [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)) ) ) ) )),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f26,axiom,(
% 11.15/2.16 (! [W0] :( aNaturalNumber0(W0)=> ( W0 = sz00| W0 = sz10| ( sz10 != W0& sdtlseqdt0(sz10,W0) ) ) ) )),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f27,axiom,(
% 11.15/2.16 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( W0 != sz00=> sdtlseqdt0(W1,sdtasdt0(W1,W0)) ) ) )),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f29,axiom,(
% 11.15/2.16 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( W0 != W1& sdtlseqdt0(W0,W1) )=> iLess0(W0,W1) ) ) )),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f30,definition,(
% 11.15/2.16 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( doDivides0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) )) ) )),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f31,definition,(
% 11.15/2.16 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( W0 != sz00& doDivides0(W0,W1) )=> (! [W2] :( W2 = sdtsldt0(W1,W0)<=> ( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) ) )) ) )),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f32,axiom,(
% 11.15/2.16 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( doDivides0(W0,W1)& doDivides0(W1,W2) )=> doDivides0(W0,W2) ) ) )),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f35,axiom,(
% 11.15/2.16 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( doDivides0(W0,W1)& W1 != sz00 )=> sdtlseqdt0(W0,W1) ) ) )),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f36,axiom,(
% 11.15/2.16 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( W0 != sz00& doDivides0(W0,W1) )=> (! [W2] :( aNaturalNumber0(W2)=> sdtasdt0(W2,sdtsldt0(W1,W0)) = sdtsldt0(sdtasdt0(W2,W1),W0) ) )) ) )),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f37,definition,(
% 11.15/2.16 (! [W0] :( aNaturalNumber0(W0)=> ( isPrime0(W0)<=> ( W0 != sz00& W0 != sz10& (! [W1] :( ( aNaturalNumber0(W1)& doDivides0(W1,W0) )=> ( W1 = sz10| W1 = W0 ) ) )) ) ) )),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f38,axiom,(
% 11.15/2.16 (! [W0] :( ( aNaturalNumber0(W0)& W0 != sz00& W0 != sz10 )=> (? [W1] :( aNaturalNumber0(W1)& doDivides0(W1,W0)& isPrime0(W1) ) )) )),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f39,hypothesis,(
% 11.15/2.16 ( aNaturalNumber0(xn)& aNaturalNumber0(xm)& aNaturalNumber0(xp) ) ),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f40,hypothesis,(
% 11.15/2.16 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( isPrime0(W2)& doDivides0(W2,sdtasdt0(W0,W1)) )=> ( iLess0(sdtpldt0(sdtpldt0(W0,W1),W2),sdtpldt0(sdtpldt0(xn,xm),xp))=> ( doDivides0(W2,W0)| doDivides0(W2,W1) ) ) ) ) )),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f41,hypothesis,(
% 11.15/2.16 ( isPrime0(xp)& doDivides0(xp,sdtasdt0(xn,xm)) ) ),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f42,hypothesis,(
% 11.15/2.16 ~ sdtlseqdt0(xp,xn) ),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f43,hypothesis,(
% 11.15/2.16 ~ sdtlseqdt0(xp,xm) ),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f44,hypothesis,(
% 11.15/2.16 ( xn != xp& sdtlseqdt0(xn,xp)& xm != xp& sdtlseqdt0(xm,xp) ) ),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f45,hypothesis,(
% 11.15/2.16 xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f46,hypothesis,(
% 11.15/2.16 ~ ( xk = sz00| xk = sz10 ) ),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f48,hypothesis,(
% 11.15/2.16 ( aNaturalNumber0(xr)& doDivides0(xr,xk)& isPrime0(xr) ) ),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f49,hypothesis,(
% 11.15/2.16 ( sdtlseqdt0(xr,xk)& doDivides0(xr,sdtasdt0(xn,xm)) ) ),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f50,hypothesis,(
% 11.15/2.16 sdtlseqdt0(xp,xk) ),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f51,conjecture,(
% 11.15/2.16 ( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)& sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ) ),
% 11.15/2.16 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.15/2.16 fof(f52,negated_conjecture,(
% 11.15/2.16 ~(( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)& sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ) )),
% 11.15/2.16 inference(negated_conjecture,[status(cth)],[f51])).
% 11.15/2.16 fof(f56,plain,(
% 11.15/2.16 aNaturalNumber0(sz00)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f2])).
% 11.15/2.16 fof(f57,plain,(
% 11.15/2.16 aNaturalNumber0(sz10)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f3])).
% 11.15/2.16 fof(f58,plain,(
% 11.15/2.16 ~sz10=sz00),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f3])).
% 11.15/2.16 fof(f59,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 11.15/2.16 fof(f60,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f59])).
% 11.15/2.16 fof(f61,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 11.15/2.16 fof(f62,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f61])).
% 11.15/2.16 fof(f67,plain,(
% 11.15/2.16 ![W0]: (~aNaturalNumber0(W0)|(sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 11.15/2.16 fof(f68,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(X0,sz00)=X0)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f67])).
% 11.15/2.16 fof(f69,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|X0=sdtpldt0(sz00,X0))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f67])).
% 11.15/2.16 fof(f70,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|sdtasdt0(W0,W1)=sdtasdt0(W1,W0))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 11.15/2.16 fof(f71,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f70])).
% 11.15/2.16 fof(f72,plain,(
% 11.15/2.16 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|sdtasdt0(sdtasdt0(W0,W1),W2)=sdtasdt0(W0,sdtasdt0(W1,W2)))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 11.15/2.16 fof(f73,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtasdt0(sdtasdt0(X0,X1),X2)=sdtasdt0(X0,sdtasdt0(X1,X2)))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f72])).
% 11.15/2.16 fof(f74,plain,(
% 11.15/2.16 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 11.15/2.16 fof(f75,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz10)=X0)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f74])).
% 11.15/2.16 fof(f76,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|X0=sdtasdt0(sz10,X0))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f74])).
% 11.15/2.16 fof(f77,plain,(
% 11.15/2.16 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 11.15/2.16 fof(f78,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz00)=sz00)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f77])).
% 11.15/2.16 fof(f79,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|sz00=sdtasdt0(sz00,X0))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f77])).
% 11.15/2.16 fof(f80,plain,(
% 11.15/2.16 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|(sdtasdt0(W0,sdtpldt0(W1,W2))=sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2))&sdtasdt0(sdtpldt0(W1,W2),W0)=sdtpldt0(sdtasdt0(W1,W0),sdtasdt0(W2,W0))))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 11.15/2.16 fof(f81,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtasdt0(X0,sdtpldt0(X1,X2))=sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f80])).
% 11.15/2.16 fof(f82,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtasdt0(sdtpldt0(X1,X2),X0)=sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f80])).
% 11.15/2.16 fof(f83,plain,(
% 11.15/2.16 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtpldt0(W0,W1)=sdtpldt0(W0,W2)&~sdtpldt0(W1,W0)=sdtpldt0(W2,W0))|W1=W2))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 11.15/2.16 fof(f84,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X1)=sdtpldt0(X0,X2)|X1=X2)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f83])).
% 11.15/2.16 fof(f85,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtpldt0(X1,X0)=sdtpldt0(X2,X0)|X1=X2)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f83])).
% 11.15/2.16 fof(f86,plain,(
% 11.15/2.16 ![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)))))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 11.15/2.16 fof(f87,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtasdt0(X0,X1)=sdtasdt0(X0,X2)|X1=X2)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f86])).
% 11.15/2.16 fof(f88,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtasdt0(X1,X0)=sdtasdt0(X2,X0)|X1=X2)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f86])).
% 11.15/2.16 fof(f89,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtpldt0(W0,W1)=sz00|(W0=sz00&W1=sz00)))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 11.15/2.16 fof(f90,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtpldt0(X0,X1)=sz00|X0=sz00)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f89])).
% 11.15/2.16 fof(f91,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtpldt0(X0,X1)=sz00|X1=sz00)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f89])).
% 11.15/2.16 fof(f92,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtasdt0(W0,W1)=sz00|(W0=sz00|W1=sz00)))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 11.15/2.16 fof(f93,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtasdt0(X0,X1)=sz00|X0=sz00|X1=sz00)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f92])).
% 11.15/2.16 fof(f94,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 11.15/2.16 fof(f95,plain,(
% 11.15/2.16 ![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)))))),
% 11.15/2.16 inference(NNF_transformation,[status(esa)],[f94])).
% 11.15/2.16 fof(f96,plain,(
% 11.15/2.16 ![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)))))),
% 11.15/2.16 inference(skolemization,[status(esa)],[f95])).
% 11.15/2.16 fof(f98,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|sdtpldt0(X0,sk0_0(X1,X0))=X1)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f96])).
% 11.15/2.16 fof(f99,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X2)=X1)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f96])).
% 11.15/2.16 fof(f100,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|(![W2]: (W2=sdtmndt0(W1,W0)<=>(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 11.15/2.16 fof(f101,plain,(
% 11.15/2.16 ![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))))))),
% 11.15/2.16 inference(NNF_transformation,[status(esa)],[f100])).
% 11.15/2.16 fof(f102,plain,(
% 11.15/2.16 ![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))))))),
% 11.15/2.16 inference(miniscoping,[status(esa)],[f101])).
% 11.15/2.16 fof(f104,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~X2=sdtmndt0(X1,X0)|sdtpldt0(X0,X2)=X1)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f102])).
% 11.15/2.16 fof(f106,plain,(
% 11.15/2.16 ![W0]: (~aNaturalNumber0(W0)|sdtlseqdt0(W0,W0))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 11.15/2.16 fof(f107,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,X0))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f106])).
% 11.15/2.16 fof(f108,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 11.15/2.16 fof(f109,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f108])).
% 11.15/2.16 fof(f110,plain,(
% 11.15/2.16 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W2))|sdtlseqdt0(W0,W2)))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 11.15/2.16 fof(f111,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|sdtlseqdt0(X0,X2))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f110])).
% 11.15/2.16 fof(f112,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)|(~W1=W0&sdtlseqdt0(W1,W0))))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 11.15/2.16 fof(f114,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f112])).
% 11.15/2.16 fof(f115,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=W1|~sdtlseqdt0(W0,W1))|(![W2]: (~aNaturalNumber0(W2)|(((~sdtpldt0(W2,W0)=sdtpldt0(W2,W1)&sdtlseqdt0(sdtpldt0(W2,W0),sdtpldt0(W2,W1)))&~sdtpldt0(W0,W2)=sdtpldt0(W1,W2))&sdtlseqdt0(sdtpldt0(W0,W2),sdtpldt0(W1,W2)))))))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 11.15/2.16 fof(f116,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtpldt0(X2,X0)=sdtpldt0(X2,X1))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f115])).
% 11.15/2.16 fof(f117,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1)))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f115])).
% 11.15/2.16 fof(f119,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f115])).
% 11.15/2.16 fof(f120,plain,(
% 11.15/2.16 ![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)))))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 11.15/2.16 fof(f121,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~sdtasdt0(X0,X1)=sdtasdt0(X0,X2))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f120])).
% 11.15/2.16 fof(f122,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f120])).
% 11.15/2.16 fof(f123,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~sdtasdt0(X1,X0)=sdtasdt0(X2,X0))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f120])).
% 11.15/2.16 fof(f124,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f120])).
% 11.15/2.16 fof(f125,plain,(
% 11.15/2.16 ![W0]: (~aNaturalNumber0(W0)|((W0=sz00|W0=sz10)|(~sz10=W0&sdtlseqdt0(sz10,W0))))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 11.15/2.16 fof(f127,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|sdtlseqdt0(sz10,X0))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f125])).
% 11.15/2.16 fof(f128,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(W0=sz00|sdtlseqdt0(W1,sdtasdt0(W1,W0))))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 11.15/2.16 fof(f129,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|sdtlseqdt0(X1,sdtasdt0(X1,X0)))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f128])).
% 11.15/2.16 fof(f132,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=W1|~sdtlseqdt0(W0,W1))|iLess0(W0,W1)))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 11.15/2.16 fof(f133,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|iLess0(X0,X1))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f132])).
% 11.15/2.16 fof(f134,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(doDivides0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2)))))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 11.15/2.16 fof(f135,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~doDivides0(W0,W1)|(?[W2]: (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))&(doDivides0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~W1=sdtasdt0(W0,W2))))))),
% 11.15/2.16 inference(NNF_transformation,[status(esa)],[f134])).
% 11.15/2.16 fof(f136,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~doDivides0(W0,W1)|(aNaturalNumber0(sk0_1(W1,W0))&W1=sdtasdt0(W0,sk0_1(W1,W0))))&(doDivides0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~W1=sdtasdt0(W0,W2))))))),
% 11.15/2.16 inference(skolemization,[status(esa)],[f135])).
% 11.15/2.16 fof(f137,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~doDivides0(X0,X1)|aNaturalNumber0(sk0_1(X1,X0)))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f136])).
% 11.15/2.16 fof(f138,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~doDivides0(X0,X1)|X1=sdtasdt0(X0,sk0_1(X1,X0)))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f136])).
% 11.15/2.16 fof(f139,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|doDivides0(X0,X1)|~aNaturalNumber0(X2)|~X1=sdtasdt0(X0,X2))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f136])).
% 11.15/2.16 fof(f140,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|(![W2]: (W2=sdtsldt0(W1,W0)<=>(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 11.15/2.16 fof(f141,plain,(
% 11.15/2.16 ![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)))))))),
% 11.15/2.16 inference(NNF_transformation,[status(esa)],[f140])).
% 11.15/2.16 fof(f142,plain,(
% 11.15/2.16 ![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)))))))),
% 11.15/2.16 inference(miniscoping,[status(esa)],[f141])).
% 11.15/2.16 fof(f143,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|~X2=sdtsldt0(X1,X0)|aNaturalNumber0(X2))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f142])).
% 11.15/2.16 fof(f144,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|~X2=sdtsldt0(X1,X0)|X1=sdtasdt0(X0,X2))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f142])).
% 11.15/2.16 fof(f145,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|X2=sdtsldt0(X1,X0)|~aNaturalNumber0(X2)|~X1=sdtasdt0(X0,X2))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f142])).
% 11.15/2.16 fof(f146,plain,(
% 11.15/2.16 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~doDivides0(W0,W1)|~doDivides0(W1,W2))|doDivides0(W0,W2)))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 11.15/2.16 fof(f147,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X0,X1)|~doDivides0(X1,X2)|doDivides0(X0,X2))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f146])).
% 11.15/2.16 fof(f152,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~doDivides0(W0,W1)|W1=sz00)|sdtlseqdt0(W0,W1)))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 11.15/2.16 fof(f153,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~doDivides0(X0,X1)|X1=sz00|sdtlseqdt0(X0,X1))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f152])).
% 11.15/2.16 fof(f154,plain,(
% 11.15/2.16 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|(![W2]: (~aNaturalNumber0(W2)|sdtasdt0(W2,sdtsldt0(W1,W0))=sdtsldt0(sdtasdt0(W2,W1),W0)))))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 11.15/2.16 fof(f155,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|~aNaturalNumber0(X2)|sdtasdt0(X2,sdtsldt0(X1,X0))=sdtsldt0(sdtasdt0(X2,X1),X0))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f154])).
% 11.15/2.16 fof(f156,plain,(
% 11.15/2.16 ![W0]: (~aNaturalNumber0(W0)|(isPrime0(W0)<=>((~W0=sz00&~W0=sz10)&(![W1]: ((~aNaturalNumber0(W1)|~doDivides0(W1,W0))|(W1=sz10|W1=W0))))))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 11.15/2.16 fof(f157,plain,(
% 11.15/2.16 ![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)))))))),
% 11.15/2.16 inference(NNF_transformation,[status(esa)],[f156])).
% 11.15/2.16 fof(f158,plain,(
% 11.15/2.16 ![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))))))),
% 11.15/2.16 inference(skolemization,[status(esa)],[f157])).
% 11.15/2.16 fof(f159,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~isPrime0(X0)|~X0=sz00)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f158])).
% 11.15/2.16 fof(f160,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~isPrime0(X0)|~X0=sz10)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f158])).
% 11.15/2.16 fof(f161,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~isPrime0(X0)|~aNaturalNumber0(X1)|~doDivides0(X1,X0)|X1=sz10|X1=X0)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f158])).
% 11.15/2.16 fof(f162,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|isPrime0(X0)|X0=sz00|X0=sz10|aNaturalNumber0(sk0_2(X0)))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f158])).
% 11.15/2.16 fof(f163,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|isPrime0(X0)|X0=sz00|X0=sz10|doDivides0(sk0_2(X0),X0))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f158])).
% 11.15/2.16 fof(f166,plain,(
% 11.15/2.16 ![W0]: (((~aNaturalNumber0(W0)|W0=sz00)|W0=sz10)|(?[W1]: ((aNaturalNumber0(W1)&doDivides0(W1,W0))&isPrime0(W1))))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 11.15/2.16 fof(f167,plain,(
% 11.15/2.16 ![W0]: (((~aNaturalNumber0(W0)|W0=sz00)|W0=sz10)|((aNaturalNumber0(sk0_3(W0))&doDivides0(sk0_3(W0),W0))&isPrime0(sk0_3(W0))))),
% 11.15/2.16 inference(skolemization,[status(esa)],[f166])).
% 11.15/2.16 fof(f168,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|aNaturalNumber0(sk0_3(X0)))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f167])).
% 11.15/2.16 fof(f169,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|doDivides0(sk0_3(X0),X0))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f167])).
% 11.15/2.16 fof(f171,plain,(
% 11.15/2.16 aNaturalNumber0(xn)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f39])).
% 11.15/2.16 fof(f172,plain,(
% 11.15/2.16 aNaturalNumber0(xm)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f39])).
% 11.15/2.16 fof(f173,plain,(
% 11.15/2.16 aNaturalNumber0(xp)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f39])).
% 11.15/2.16 fof(f174,plain,(
% 11.15/2.16 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~isPrime0(W2)|~doDivides0(W2,sdtasdt0(W0,W1)))|(~iLess0(sdtpldt0(sdtpldt0(W0,W1),W2),sdtpldt0(sdtpldt0(xn,xm),xp))|(doDivides0(W2,W0)|doDivides0(W2,W1)))))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 11.15/2.16 fof(f175,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~isPrime0(X2)|~doDivides0(X2,sdtasdt0(X0,X1))|~iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))|doDivides0(X2,X0)|doDivides0(X2,X1))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f174])).
% 11.15/2.16 fof(f176,plain,(
% 11.15/2.16 isPrime0(xp)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f41])).
% 11.15/2.16 fof(f177,plain,(
% 11.15/2.16 doDivides0(xp,sdtasdt0(xn,xm))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f41])).
% 11.15/2.16 fof(f178,plain,(
% 11.15/2.16 ~sdtlseqdt0(xp,xn)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f42])).
% 11.15/2.16 fof(f179,plain,(
% 11.15/2.16 ~sdtlseqdt0(xp,xm)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f43])).
% 11.15/2.16 fof(f180,plain,(
% 11.15/2.16 ~xn=xp),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f44])).
% 11.15/2.16 fof(f181,plain,(
% 11.15/2.16 sdtlseqdt0(xn,xp)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f44])).
% 11.15/2.16 fof(f182,plain,(
% 11.15/2.16 ~xm=xp),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f44])).
% 11.15/2.16 fof(f183,plain,(
% 11.15/2.16 sdtlseqdt0(xm,xp)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f44])).
% 11.15/2.16 fof(f184,plain,(
% 11.15/2.16 xk=sdtsldt0(sdtasdt0(xn,xm),xp)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f45])).
% 11.15/2.16 fof(f185,plain,(
% 11.15/2.16 (~xk=sz00&~xk=sz10)),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 11.15/2.16 fof(f186,plain,(
% 11.15/2.16 ~xk=sz00),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f185])).
% 11.15/2.16 fof(f190,plain,(
% 11.15/2.16 aNaturalNumber0(xr)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f48])).
% 11.15/2.16 fof(f191,plain,(
% 11.15/2.16 doDivides0(xr,xk)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f48])).
% 11.15/2.16 fof(f192,plain,(
% 11.15/2.16 isPrime0(xr)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f48])).
% 11.15/2.16 fof(f193,plain,(
% 11.15/2.16 sdtlseqdt0(xr,xk)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f49])).
% 11.15/2.16 fof(f194,plain,(
% 11.15/2.16 doDivides0(xr,sdtasdt0(xn,xm))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f49])).
% 11.15/2.16 fof(f195,plain,(
% 11.15/2.16 sdtlseqdt0(xp,xk)),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f50])).
% 11.15/2.16 fof(f196,plain,(
% 11.15/2.16 (((sdtasdt0(xn,xm)=sdtasdt0(xp,xm)|~sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)))|sdtasdt0(xp,xm)=sdtasdt0(xp,xk))|~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)))),
% 11.15/2.16 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 11.15/2.16 fof(f197,plain,(
% 11.15/2.16 sdtasdt0(xn,xm)=sdtasdt0(xp,xm)|~sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))|sdtasdt0(xp,xm)=sdtasdt0(xp,xk)|~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))),
% 11.15/2.16 inference(cnf_transformation,[status(esa)],[f196])).
% 11.15/2.16 fof(f198,plain,(
% 11.15/2.16 spl0_0 <=> sdtasdt0(xn,xm)=sdtasdt0(xp,xm)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f199,plain,(
% 11.15/2.16 sdtasdt0(xn,xm)=sdtasdt0(xp,xm)|~spl0_0),
% 11.15/2.16 inference(component_clause,[status(thm)],[f198])).
% 11.15/2.16 fof(f200,plain,(
% 11.15/2.16 ~sdtasdt0(xn,xm)=sdtasdt0(xp,xm)|spl0_0),
% 11.15/2.16 inference(component_clause,[status(thm)],[f198])).
% 11.15/2.16 fof(f201,plain,(
% 11.15/2.16 spl0_1 <=> sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f202,plain,(
% 11.15/2.16 sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))|~spl0_1),
% 11.15/2.16 inference(component_clause,[status(thm)],[f201])).
% 11.15/2.16 fof(f203,plain,(
% 11.15/2.16 ~sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))|spl0_1),
% 11.15/2.16 inference(component_clause,[status(thm)],[f201])).
% 11.15/2.16 fof(f204,plain,(
% 11.15/2.16 spl0_2 <=> sdtasdt0(xp,xm)=sdtasdt0(xp,xk)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f205,plain,(
% 11.15/2.16 sdtasdt0(xp,xm)=sdtasdt0(xp,xk)|~spl0_2),
% 11.15/2.16 inference(component_clause,[status(thm)],[f204])).
% 11.15/2.16 fof(f206,plain,(
% 11.15/2.16 ~sdtasdt0(xp,xm)=sdtasdt0(xp,xk)|spl0_2),
% 11.15/2.16 inference(component_clause,[status(thm)],[f204])).
% 11.15/2.16 fof(f207,plain,(
% 11.15/2.16 spl0_3 <=> sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f209,plain,(
% 11.15/2.16 ~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))|spl0_3),
% 11.15/2.16 inference(component_clause,[status(thm)],[f207])).
% 11.15/2.16 fof(f210,plain,(
% 11.15/2.16 spl0_0|~spl0_1|spl0_2|~spl0_3),
% 11.15/2.16 inference(split_clause,[status(thm)],[f197,f198,f201,f204,f207])).
% 11.15/2.16 fof(f211,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(X0,X1))|sdtlseqdt0(X0,sdtpldt0(X0,X1))|~aNaturalNumber0(X1))),
% 11.15/2.16 inference(destructive_equality_resolution,[status(esa)],[f99])).
% 11.15/2.16 fof(f213,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|sdtpldt0(X0,sdtmndt0(X1,X0))=X1)),
% 11.15/2.16 inference(destructive_equality_resolution,[status(esa)],[f104])).
% 11.15/2.16 fof(f217,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|doDivides0(X0,sdtasdt0(X0,X1))|~aNaturalNumber0(X1))),
% 11.15/2.16 inference(destructive_equality_resolution,[status(esa)],[f139])).
% 11.15/2.16 fof(f218,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|aNaturalNumber0(sdtsldt0(X1,X0)))),
% 11.15/2.16 inference(destructive_equality_resolution,[status(esa)],[f143])).
% 11.15/2.16 fof(f219,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|X1=sdtasdt0(X0,sdtsldt0(X1,X0)))),
% 11.15/2.16 inference(destructive_equality_resolution,[status(esa)],[f144])).
% 11.15/2.16 fof(f220,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|X0=sz00|~doDivides0(X0,sdtasdt0(X0,X1))|X1=sdtsldt0(sdtasdt0(X0,X1),X0)|~aNaturalNumber0(X1))),
% 11.15/2.16 inference(destructive_equality_resolution,[status(esa)],[f145])).
% 11.15/2.16 fof(f221,plain,(
% 11.15/2.16 ~aNaturalNumber0(sz00)|~isPrime0(sz00)),
% 11.15/2.16 inference(destructive_equality_resolution,[status(esa)],[f159])).
% 11.15/2.16 fof(f222,plain,(
% 11.15/2.16 ~aNaturalNumber0(sz10)|~isPrime0(sz10)),
% 11.15/2.16 inference(destructive_equality_resolution,[status(esa)],[f160])).
% 11.15/2.16 fof(f223,plain,(
% 11.15/2.16 ~isPrime0(sz00)),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f221,f56])).
% 11.15/2.16 fof(f224,plain,(
% 11.15/2.16 ~isPrime0(sz10)),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f222,f57])).
% 11.15/2.16 fof(f225,plain,(
% 11.15/2.16 spl0_4 <=> aNaturalNumber0(sdtasdt0(xp,xk))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f227,plain,(
% 11.15/2.16 ~aNaturalNumber0(sdtasdt0(xp,xk))|spl0_4),
% 11.15/2.16 inference(component_clause,[status(thm)],[f225])).
% 11.15/2.16 fof(f228,plain,(
% 11.15/2.16 spl0_5 <=> aNaturalNumber0(sdtasdt0(xp,xm))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f230,plain,(
% 11.15/2.16 ~aNaturalNumber0(sdtasdt0(xp,xm))|spl0_5),
% 11.15/2.16 inference(component_clause,[status(thm)],[f228])).
% 11.15/2.16 fof(f231,plain,(
% 11.15/2.16 spl0_6 <=> sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f232,plain,(
% 11.15/2.16 sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))|~spl0_6),
% 11.15/2.16 inference(component_clause,[status(thm)],[f231])).
% 11.15/2.16 fof(f236,plain,(
% 11.15/2.16 spl0_7 <=> aNaturalNumber0(xm)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f238,plain,(
% 11.15/2.16 ~aNaturalNumber0(xm)|spl0_7),
% 11.15/2.16 inference(component_clause,[status(thm)],[f236])).
% 11.15/2.16 fof(f239,plain,(
% 11.15/2.16 spl0_8 <=> aNaturalNumber0(xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f241,plain,(
% 11.15/2.16 ~aNaturalNumber0(xp)|spl0_8),
% 11.15/2.16 inference(component_clause,[status(thm)],[f239])).
% 11.15/2.16 fof(f242,plain,(
% 11.15/2.16 spl0_9 <=> sdtlseqdt0(xm,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f245,plain,(
% 11.15/2.16 ~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|sdtlseqdt0(xm,xp)),
% 11.15/2.16 inference(resolution,[status(thm)],[f114,f179])).
% 11.15/2.16 fof(f246,plain,(
% 11.15/2.16 ~spl0_7|~spl0_8|spl0_9),
% 11.15/2.16 inference(split_clause,[status(thm)],[f245,f236,f239,f242])).
% 11.15/2.16 fof(f247,plain,(
% 11.15/2.16 spl0_10 <=> aNaturalNumber0(xn)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f249,plain,(
% 11.15/2.16 ~aNaturalNumber0(xn)|spl0_10),
% 11.15/2.16 inference(component_clause,[status(thm)],[f247])).
% 11.15/2.16 fof(f250,plain,(
% 11.15/2.16 spl0_11 <=> sdtlseqdt0(xn,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f253,plain,(
% 11.15/2.16 ~aNaturalNumber0(xn)|~aNaturalNumber0(xp)|sdtlseqdt0(xn,xp)),
% 11.15/2.16 inference(resolution,[status(thm)],[f114,f178])).
% 11.15/2.16 fof(f254,plain,(
% 11.15/2.16 ~spl0_10|~spl0_8|spl0_11),
% 11.15/2.16 inference(split_clause,[status(thm)],[f253,f247,f239,f250])).
% 11.15/2.16 fof(f255,plain,(
% 11.15/2.16 $false|spl0_10),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f249,f171])).
% 11.15/2.16 fof(f256,plain,(
% 11.15/2.16 spl0_10),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f255])).
% 11.15/2.16 fof(f257,plain,(
% 11.15/2.16 $false|spl0_7),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f238,f172])).
% 11.15/2.16 fof(f258,plain,(
% 11.15/2.16 spl0_7),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f257])).
% 11.15/2.16 fof(f259,plain,(
% 11.15/2.16 $false|spl0_8),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f241,f173])).
% 11.15/2.16 fof(f260,plain,(
% 11.15/2.16 spl0_8),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f259])).
% 11.15/2.16 fof(f261,plain,(
% 11.15/2.16 ~aNaturalNumber0(xp)|~aNaturalNumber0(xm)|spl0_5),
% 11.15/2.16 inference(resolution,[status(thm)],[f230,f62])).
% 11.15/2.16 fof(f262,plain,(
% 11.15/2.16 ~spl0_8|~spl0_7|spl0_5),
% 11.15/2.16 inference(split_clause,[status(thm)],[f261,f239,f236,f228])).
% 11.15/2.16 fof(f263,plain,(
% 11.15/2.16 spl0_12 <=> aNaturalNumber0(xk)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f264,plain,(
% 11.15/2.16 aNaturalNumber0(xk)|~spl0_12),
% 11.15/2.16 inference(component_clause,[status(thm)],[f263])).
% 11.15/2.16 fof(f266,plain,(
% 11.15/2.16 ~aNaturalNumber0(xp)|~aNaturalNumber0(xk)|spl0_4),
% 11.15/2.16 inference(resolution,[status(thm)],[f227,f62])).
% 11.15/2.16 fof(f267,plain,(
% 11.15/2.16 ~spl0_8|~spl0_12|spl0_4),
% 11.15/2.16 inference(split_clause,[status(thm)],[f266,f239,f263,f225])).
% 11.15/2.16 fof(f268,plain,(
% 11.15/2.16 spl0_13 <=> aNaturalNumber0(sdtasdt0(xn,xm))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f270,plain,(
% 11.15/2.16 ~aNaturalNumber0(sdtasdt0(xn,xm))|spl0_13),
% 11.15/2.16 inference(component_clause,[status(thm)],[f268])).
% 11.15/2.16 fof(f276,plain,(
% 11.15/2.16 ~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|spl0_13),
% 11.15/2.16 inference(resolution,[status(thm)],[f270,f62])).
% 11.15/2.16 fof(f277,plain,(
% 11.15/2.16 ~spl0_10|~spl0_7|spl0_13),
% 11.15/2.16 inference(split_clause,[status(thm)],[f276,f247,f236,f268])).
% 11.15/2.16 fof(f290,plain,(
% 11.15/2.16 spl0_17 <=> sdtasdt0(xm,xp)=sdtasdt0(xn,xm)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f291,plain,(
% 11.15/2.16 sdtasdt0(xm,xp)=sdtasdt0(xn,xm)|~spl0_17),
% 11.15/2.16 inference(component_clause,[status(thm)],[f290])).
% 11.15/2.16 fof(f293,plain,(
% 11.15/2.16 ~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|sdtasdt0(xm,xp)=sdtasdt0(xn,xm)|~spl0_0),
% 11.15/2.16 inference(paramodulation,[status(thm)],[f199,f71])).
% 11.15/2.16 fof(f294,plain,(
% 11.15/2.16 ~spl0_7|~spl0_8|spl0_17|~spl0_0),
% 11.15/2.16 inference(split_clause,[status(thm)],[f293,f236,f239,f290,f198])).
% 11.15/2.16 fof(f310,plain,(
% 11.15/2.16 ~aNaturalNumber0(sdtasdt0(xp,xm))|~aNaturalNumber0(sdtasdt0(xp,xk))|~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))|sdtasdt0(xp,xm)=sdtasdt0(xp,xk)|~spl0_6),
% 11.15/2.16 inference(resolution,[status(thm)],[f109,f232])).
% 11.15/2.16 fof(f311,plain,(
% 11.15/2.16 ~spl0_5|~spl0_4|~spl0_3|spl0_2|~spl0_6),
% 11.15/2.16 inference(split_clause,[status(thm)],[f310,f228,f225,f207,f204,f231])).
% 11.15/2.16 fof(f312,plain,(
% 11.15/2.16 spl0_19 <=> aNaturalNumber0(xr)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f314,plain,(
% 11.15/2.16 ~aNaturalNumber0(xr)|spl0_19),
% 11.15/2.16 inference(component_clause,[status(thm)],[f312])).
% 11.15/2.16 fof(f323,plain,(
% 11.15/2.16 spl0_22 <=> sdtlseqdt0(xk,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f325,plain,(
% 11.15/2.16 ~sdtlseqdt0(xk,xp)|spl0_22),
% 11.15/2.16 inference(component_clause,[status(thm)],[f323])).
% 11.15/2.16 fof(f326,plain,(
% 11.15/2.16 spl0_23 <=> xk=xp),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f327,plain,(
% 11.15/2.16 xk=xp|~spl0_23),
% 11.15/2.16 inference(component_clause,[status(thm)],[f326])).
% 11.15/2.16 fof(f329,plain,(
% 11.15/2.16 ~aNaturalNumber0(xk)|~aNaturalNumber0(xp)|~sdtlseqdt0(xk,xp)|xk=xp),
% 11.15/2.16 inference(resolution,[status(thm)],[f109,f195])).
% 11.15/2.16 fof(f330,plain,(
% 11.15/2.16 ~spl0_12|~spl0_8|~spl0_22|spl0_23),
% 11.15/2.16 inference(split_clause,[status(thm)],[f329,f263,f239,f323,f326])).
% 11.15/2.16 fof(f331,plain,(
% 11.15/2.16 spl0_24 <=> sdtlseqdt0(xp,xm)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f334,plain,(
% 11.15/2.16 spl0_25 <=> xp=xm),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f335,plain,(
% 11.15/2.16 xp=xm|~spl0_25),
% 11.15/2.16 inference(component_clause,[status(thm)],[f334])).
% 11.15/2.16 fof(f337,plain,(
% 11.15/2.16 ~aNaturalNumber0(xp)|~aNaturalNumber0(xm)|~sdtlseqdt0(xp,xm)|xp=xm),
% 11.15/2.16 inference(resolution,[status(thm)],[f109,f183])).
% 11.15/2.16 fof(f338,plain,(
% 11.15/2.16 ~spl0_8|~spl0_7|~spl0_24|spl0_25),
% 11.15/2.16 inference(split_clause,[status(thm)],[f337,f239,f236,f331,f334])).
% 11.15/2.16 fof(f339,plain,(
% 11.15/2.16 spl0_26 <=> sdtlseqdt0(xp,xn)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f342,plain,(
% 11.15/2.16 spl0_27 <=> xp=xn),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f343,plain,(
% 11.15/2.16 xp=xn|~spl0_27),
% 11.15/2.16 inference(component_clause,[status(thm)],[f342])).
% 11.15/2.16 fof(f345,plain,(
% 11.15/2.16 ~aNaturalNumber0(xp)|~aNaturalNumber0(xn)|~sdtlseqdt0(xp,xn)|xp=xn),
% 11.15/2.16 inference(resolution,[status(thm)],[f109,f181])).
% 11.15/2.16 fof(f346,plain,(
% 11.15/2.16 ~spl0_8|~spl0_10|~spl0_26|spl0_27),
% 11.15/2.16 inference(split_clause,[status(thm)],[f345,f239,f247,f339,f342])).
% 11.15/2.16 fof(f382,plain,(
% 11.15/2.16 spl0_31 <=> xp=sz00),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f383,plain,(
% 11.15/2.16 xp=sz00|~spl0_31),
% 11.15/2.16 inference(component_clause,[status(thm)],[f382])).
% 11.15/2.16 fof(f384,plain,(
% 11.15/2.16 ~xp=sz00|spl0_31),
% 11.15/2.16 inference(component_clause,[status(thm)],[f382])).
% 11.15/2.16 fof(f385,plain,(
% 11.15/2.16 spl0_32 <=> sdtlseqdt0(xm,sdtasdt0(xn,xm))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f387,plain,(
% 11.15/2.16 ~sdtlseqdt0(xm,sdtasdt0(xn,xm))|spl0_32),
% 11.15/2.16 inference(component_clause,[status(thm)],[f385])).
% 11.15/2.16 fof(f388,plain,(
% 11.15/2.16 ~aNaturalNumber0(xp)|~aNaturalNumber0(xm)|xp=sz00|sdtlseqdt0(xm,sdtasdt0(xn,xm))|~spl0_17),
% 11.15/2.16 inference(paramodulation,[status(thm)],[f291,f129])).
% 11.15/2.16 fof(f389,plain,(
% 11.15/2.16 ~spl0_8|~spl0_7|spl0_31|spl0_32|~spl0_17),
% 11.15/2.16 inference(split_clause,[status(thm)],[f388,f239,f236,f382,f385,f290])).
% 11.15/2.16 fof(f390,plain,(
% 11.15/2.16 spl0_33 <=> xk=sz00),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f391,plain,(
% 11.15/2.16 xk=sz00|~spl0_33),
% 11.15/2.16 inference(component_clause,[status(thm)],[f390])).
% 11.15/2.16 fof(f393,plain,(
% 11.15/2.16 spl0_34 <=> sdtlseqdt0(xp,sdtasdt0(xn,xm))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f394,plain,(
% 11.15/2.16 sdtlseqdt0(xp,sdtasdt0(xn,xm))|~spl0_34),
% 11.15/2.16 inference(component_clause,[status(thm)],[f393])).
% 11.15/2.16 fof(f398,plain,(
% 11.15/2.16 spl0_35 <=> xm=sz00),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f399,plain,(
% 11.15/2.16 xm=sz00|~spl0_35),
% 11.15/2.16 inference(component_clause,[status(thm)],[f398])).
% 11.15/2.16 fof(f409,plain,(
% 11.15/2.16 isPrime0(sz00)|~spl0_31),
% 11.15/2.16 inference(backward_demodulation,[status(thm)],[f383,f176])).
% 11.15/2.16 fof(f410,plain,(
% 11.15/2.16 $false|~spl0_31),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f409,f223])).
% 11.15/2.16 fof(f411,plain,(
% 11.15/2.16 ~spl0_31),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f410])).
% 11.15/2.16 fof(f428,plain,(
% 11.15/2.16 spl0_36 <=> sdtlseqdt0(sdtasdt0(xn,xm),xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f430,plain,(
% 11.15/2.16 ~sdtlseqdt0(sdtasdt0(xn,xm),xp)|spl0_36),
% 11.15/2.16 inference(component_clause,[status(thm)],[f428])).
% 11.15/2.16 fof(f431,plain,(
% 11.15/2.16 spl0_37 <=> sdtasdt0(xn,xm)=xp),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f432,plain,(
% 11.15/2.16 sdtasdt0(xn,xm)=xp|~spl0_37),
% 11.15/2.16 inference(component_clause,[status(thm)],[f431])).
% 11.15/2.16 fof(f434,plain,(
% 11.15/2.16 ~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(xp)|~sdtlseqdt0(sdtasdt0(xn,xm),xp)|sdtasdt0(xn,xm)=xp|~spl0_34),
% 11.15/2.16 inference(resolution,[status(thm)],[f394,f109])).
% 11.15/2.16 fof(f435,plain,(
% 11.15/2.16 ~spl0_13|~spl0_8|~spl0_36|spl0_37|~spl0_34),
% 11.15/2.16 inference(split_clause,[status(thm)],[f434,f268,f239,f428,f431,f393])).
% 11.15/2.16 fof(f440,plain,(
% 11.15/2.16 spl0_38 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|sdtlseqdt0(X0,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f441,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|sdtlseqdt0(X0,xp)|~spl0_38)),
% 11.15/2.16 inference(component_clause,[status(thm)],[f440])).
% 11.15/2.16 fof(f443,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|~sdtlseqdt0(X0,xm)|sdtlseqdt0(X0,xp))),
% 11.15/2.16 inference(resolution,[status(thm)],[f111,f183])).
% 11.15/2.16 fof(f444,plain,(
% 11.15/2.16 spl0_38|~spl0_7|~spl0_8),
% 11.15/2.16 inference(split_clause,[status(thm)],[f443,f440,f236,f239])).
% 11.15/2.16 fof(f445,plain,(
% 11.15/2.16 spl0_39 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xp)|sdtlseqdt0(X0,xk)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f448,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~aNaturalNumber0(xk)|~sdtlseqdt0(X0,xp)|sdtlseqdt0(X0,xk))),
% 11.15/2.16 inference(resolution,[status(thm)],[f111,f195])).
% 11.15/2.16 fof(f449,plain,(
% 11.15/2.16 spl0_39|~spl0_8|~spl0_12),
% 11.15/2.16 inference(split_clause,[status(thm)],[f448,f445,f239,f263])).
% 11.15/2.16 fof(f455,plain,(
% 11.15/2.16 spl0_41 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xr)|sdtlseqdt0(X0,xk)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f458,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xr)|~aNaturalNumber0(xk)|~sdtlseqdt0(X0,xr)|sdtlseqdt0(X0,xk))),
% 11.15/2.16 inference(resolution,[status(thm)],[f111,f193])).
% 11.15/2.16 fof(f459,plain,(
% 11.15/2.16 spl0_41|~spl0_19|~spl0_12),
% 11.15/2.16 inference(split_clause,[status(thm)],[f458,f455,f312,f263])).
% 11.15/2.16 fof(f460,plain,(
% 11.15/2.16 ![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)),
% 11.15/2.16 inference(resolution,[status(thm)],[f111,f129])).
% 11.15/2.16 fof(f461,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))|~sdtlseqdt0(X0,X1)|sdtlseqdt0(X0,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|X2=sz00)),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f460])).
% 11.15/2.16 fof(f462,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|sdtlseqdt0(X0,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|X2=sz00)),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f461,f62])).
% 11.15/2.16 fof(f463,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|sdtlseqdt0(X0,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|sdtlseqdt0(X2,X1))),
% 11.15/2.16 inference(resolution,[status(thm)],[f111,f114])).
% 11.15/2.16 fof(f464,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X2,X1))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f463])).
% 11.15/2.16 fof(f465,plain,(
% 11.15/2.16 spl0_42 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|sdtlseqdt0(X0,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f466,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|sdtlseqdt0(X0,xp)|~spl0_42)),
% 11.15/2.16 inference(component_clause,[status(thm)],[f465])).
% 11.15/2.16 fof(f468,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)|~sdtlseqdt0(X0,xn)|sdtlseqdt0(X0,xp))),
% 11.15/2.16 inference(resolution,[status(thm)],[f181,f111])).
% 11.15/2.16 fof(f469,plain,(
% 11.15/2.16 spl0_42|~spl0_10|~spl0_8),
% 11.15/2.16 inference(split_clause,[status(thm)],[f468,f465,f247,f239])).
% 11.15/2.16 fof(f488,plain,(
% 11.15/2.16 $false|spl0_19),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f314,f190])).
% 11.15/2.16 fof(f489,plain,(
% 11.15/2.16 spl0_19),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f488])).
% 11.15/2.16 fof(f490,plain,(
% 11.15/2.16 spl0_45 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(xn,X0)|sdtlseqdt0(X0,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f493,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|sdtlseqdt0(xn,X0)|sdtlseqdt0(X0,xp))),
% 11.15/2.16 inference(resolution,[status(thm)],[f464,f181])).
% 11.15/2.16 fof(f494,plain,(
% 11.15/2.16 ~spl0_10|~spl0_8|spl0_45),
% 11.15/2.16 inference(split_clause,[status(thm)],[f493,f247,f239,f490])).
% 11.15/2.16 fof(f495,plain,(
% 11.15/2.16 spl0_46 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(xm,X0)|sdtlseqdt0(X0,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f498,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|sdtlseqdt0(xm,X0)|sdtlseqdt0(X0,xp))),
% 11.15/2.16 inference(resolution,[status(thm)],[f464,f183])).
% 11.15/2.16 fof(f499,plain,(
% 11.15/2.16 ~spl0_7|~spl0_8|spl0_46),
% 11.15/2.16 inference(split_clause,[status(thm)],[f498,f236,f239,f495])).
% 11.15/2.16 fof(f500,plain,(
% 11.15/2.16 spl0_47 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(xp,X0)|sdtlseqdt0(X0,xk)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f503,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(xk)|~aNaturalNumber0(X0)|sdtlseqdt0(xp,X0)|sdtlseqdt0(X0,xk))),
% 11.15/2.16 inference(resolution,[status(thm)],[f464,f195])).
% 11.15/2.16 fof(f504,plain,(
% 11.15/2.16 ~spl0_8|~spl0_12|spl0_47),
% 11.15/2.16 inference(split_clause,[status(thm)],[f503,f239,f263,f500])).
% 11.15/2.16 fof(f510,plain,(
% 11.15/2.16 spl0_49 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(xr,X0)|sdtlseqdt0(X0,xk)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f513,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(xr)|~aNaturalNumber0(xk)|~aNaturalNumber0(X0)|sdtlseqdt0(xr,X0)|sdtlseqdt0(X0,xk))),
% 11.15/2.16 inference(resolution,[status(thm)],[f464,f193])).
% 11.15/2.16 fof(f514,plain,(
% 11.15/2.16 ~spl0_19|~spl0_12|spl0_49),
% 11.15/2.16 inference(split_clause,[status(thm)],[f513,f312,f263,f510])).
% 11.15/2.16 fof(f515,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X2,sdtasdt0(X0,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|X1=sz00)),
% 11.15/2.16 inference(resolution,[status(thm)],[f464,f129])).
% 11.15/2.16 fof(f516,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X2,sdtasdt0(X0,X1))|~aNaturalNumber0(X1)|X1=sz00)),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f515])).
% 11.15/2.16 fof(f517,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,sdtasdt0(X0,X2))|~aNaturalNumber0(X2)|X2=sz00)),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f516,f62])).
% 11.15/2.16 fof(f518,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|sdtlseqdt0(X1,X0))),
% 11.15/2.16 inference(resolution,[status(thm)],[f464,f114])).
% 11.15/2.16 fof(f519,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X2,X1)|sdtlseqdt0(X1,X0))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f518])).
% 11.15/2.16 fof(f531,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|sdtlseqdt0(X2,X3)|sdtlseqdt0(X3,X1))),
% 11.15/2.16 inference(resolution,[status(thm)],[f519,f464])).
% 11.15/2.16 fof(f532,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(X3)|sdtlseqdt0(X2,X3)|sdtlseqdt0(X3,X1))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f531])).
% 11.15/2.16 fof(f533,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~sdtlseqdt0(X3,X2)|sdtlseqdt0(X3,X1))),
% 11.15/2.16 inference(resolution,[status(thm)],[f519,f111])).
% 11.15/2.16 fof(f534,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(X3)|~sdtlseqdt0(X3,X2)|sdtlseqdt0(X3,X1))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f533])).
% 11.15/2.16 fof(f554,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X3)|sdtlseqdt0(X0,X3)|sdtlseqdt0(X3,sdtasdt0(X1,X2)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f462,f464])).
% 11.15/2.16 fof(f555,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X3)|sdtlseqdt0(X0,X3)|sdtlseqdt0(X3,sdtasdt0(X1,X2)))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f554])).
% 11.15/2.16 fof(f556,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00|~aNaturalNumber0(X3)|sdtlseqdt0(X0,X3)|sdtlseqdt0(X3,sdtasdt0(X1,X2)))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f555,f62])).
% 11.15/2.16 fof(f557,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00|~aNaturalNumber0(X3)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X1,X2))|~sdtlseqdt0(X3,X0)|sdtlseqdt0(X3,sdtasdt0(X1,X2)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f462,f111])).
% 11.15/2.16 fof(f558,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00|~aNaturalNumber0(X3)|~aNaturalNumber0(sdtasdt0(X1,X2))|~sdtlseqdt0(X3,X0)|sdtlseqdt0(X3,sdtasdt0(X1,X2)))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f557])).
% 11.15/2.16 fof(f559,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00|~aNaturalNumber0(X3)|~sdtlseqdt0(X3,X0)|sdtlseqdt0(X3,sdtasdt0(X1,X2)))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f558,f62])).
% 11.15/2.16 fof(f560,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X0)|~sdtlseqdt0(sdtasdt0(X1,X2),X0)|sdtasdt0(X1,X2)=X0)),
% 11.15/2.16 inference(resolution,[status(thm)],[f462,f109])).
% 11.15/2.16 fof(f561,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00|~aNaturalNumber0(sdtasdt0(X1,X2))|~sdtlseqdt0(sdtasdt0(X1,X2),X0)|sdtasdt0(X1,X2)=X0)),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f560])).
% 11.15/2.16 fof(f562,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00|~sdtlseqdt0(sdtasdt0(X1,X2),X0)|sdtasdt0(X1,X2)=X0)),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f561,f62])).
% 11.15/2.16 fof(f575,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X0,X2))|~sdtlseqdt0(X3,X1)|sdtlseqdt0(X3,sdtasdt0(X0,X2)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f517,f111])).
% 11.15/2.16 fof(f576,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00|~aNaturalNumber0(X3)|~aNaturalNumber0(sdtasdt0(X0,X2))|~sdtlseqdt0(X3,X1)|sdtlseqdt0(X3,sdtasdt0(X0,X2)))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f575])).
% 11.15/2.16 fof(f577,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00|~aNaturalNumber0(X3)|~sdtlseqdt0(X3,X1)|sdtlseqdt0(X3,sdtasdt0(X0,X2)))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f576,f62])).
% 11.15/2.16 fof(f578,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00|~aNaturalNumber0(sdtasdt0(X0,X2))|~aNaturalNumber0(X1)|~sdtlseqdt0(sdtasdt0(X0,X2),X1)|sdtasdt0(X0,X2)=X1)),
% 11.15/2.16 inference(resolution,[status(thm)],[f517,f109])).
% 11.15/2.16 fof(f579,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00|~aNaturalNumber0(sdtasdt0(X0,X2))|~sdtlseqdt0(sdtasdt0(X0,X2),X1)|sdtasdt0(X0,X2)=X1)),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f578])).
% 11.15/2.16 fof(f580,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00|~sdtlseqdt0(sdtasdt0(X0,X2),X1)|sdtasdt0(X0,X2)=X1)),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f579,f62])).
% 11.15/2.16 fof(f588,plain,(
% 11.15/2.16 spl0_52 <=> aNaturalNumber0(sz10)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f590,plain,(
% 11.15/2.16 ~aNaturalNumber0(sz10)|spl0_52),
% 11.15/2.16 inference(component_clause,[status(thm)],[f588])).
% 11.15/2.16 fof(f591,plain,(
% 11.15/2.16 spl0_53 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(sz10,X0))|X0=sdtasdt0(sz10,X0)|~sdtlseqdt0(X0,sdtasdt0(sz10,X0))|~aNaturalNumber0(sdtasdt0(sz10,X0))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f594,plain,(
% 11.15/2.16 spl0_54 <=> sz10=sz00),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f595,plain,(
% 11.15/2.16 sz10=sz00|~spl0_54),
% 11.15/2.16 inference(component_clause,[status(thm)],[f594])).
% 11.15/2.16 fof(f597,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sz10)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(sz10,X0))|sz10=sz00|X0=sdtasdt0(sz10,X0)|~sdtlseqdt0(X0,sdtasdt0(sz10,X0))|~aNaturalNumber0(sdtasdt0(sz10,X0)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f121,f76])).
% 11.15/2.16 fof(f598,plain,(
% 11.15/2.16 ~spl0_52|spl0_53|spl0_54),
% 11.15/2.16 inference(split_clause,[status(thm)],[f597,f588,f591,f594])).
% 11.15/2.16 fof(f599,plain,(
% 11.15/2.16 spl0_55 <=> ~aNaturalNumber0(sdtasdt0(sz10,X0))|~aNaturalNumber0(X0)|sdtasdt0(sz10,X0)=X0|~sdtlseqdt0(sdtasdt0(sz10,X0),X0)|~aNaturalNumber0(sdtasdt0(sz10,X0))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f602,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sz10)|~aNaturalNumber0(sdtasdt0(sz10,X0))|~aNaturalNumber0(X0)|sz10=sz00|sdtasdt0(sz10,X0)=X0|~sdtlseqdt0(sdtasdt0(sz10,X0),X0)|~aNaturalNumber0(sdtasdt0(sz10,X0)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f121,f76])).
% 11.15/2.16 fof(f603,plain,(
% 11.15/2.16 ~spl0_52|spl0_55|spl0_54),
% 11.15/2.16 inference(split_clause,[status(thm)],[f602,f588,f599,f594])).
% 11.15/2.16 fof(f624,plain,(
% 11.15/2.16 spl0_60 <=> ~aNaturalNumber0(X0)|X0=sz00),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f625,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|~spl0_60)),
% 11.15/2.16 inference(component_clause,[status(thm)],[f624])).
% 11.15/2.16 fof(f627,plain,(
% 11.15/2.16 spl0_61 <=> ~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X1=X1|~sdtlseqdt0(X1,X1)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f630,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X0=sz00|X1=X1|~sdtlseqdt0(X1,X1))),
% 11.15/2.16 inference(equality_resolution,[status(esa)],[f121])).
% 11.15/2.16 fof(f631,plain,(
% 11.15/2.16 spl0_60|spl0_61),
% 11.15/2.16 inference(split_clause,[status(thm)],[f630,f624,f627])).
% 11.15/2.16 fof(f632,plain,(
% 11.15/2.16 $false|spl0_52),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f590,f57])).
% 11.15/2.16 fof(f633,plain,(
% 11.15/2.16 spl0_52),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f632])).
% 11.15/2.16 fof(f634,plain,(
% 11.15/2.16 $false|~spl0_54),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f595,f58])).
% 11.15/2.16 fof(f635,plain,(
% 11.15/2.16 ~spl0_54),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f634])).
% 11.15/2.16 fof(f640,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(sdtasdt0(X0,X1))|~aNaturalNumber0(sdtasdt0(X0,X2))|~sdtlseqdt0(X3,sdtasdt0(X0,X1))|sdtlseqdt0(X3,sdtasdt0(X0,X2)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f122,f111])).
% 11.15/2.16 fof(f641,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(sdtasdt0(X0,X2))|~sdtlseqdt0(X3,sdtasdt0(X0,X1))|sdtlseqdt0(X3,sdtasdt0(X0,X2)))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f640,f62])).
% 11.15/2.16 fof(f642,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X0,X2))|~aNaturalNumber0(sdtasdt0(X0,X1))|~sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))|sdtasdt0(X0,X2)=sdtasdt0(X0,X1))),
% 11.15/2.16 inference(resolution,[status(thm)],[f122,f109])).
% 11.15/2.16 fof(f643,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X0,X2))|~sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))|sdtasdt0(X0,X2)=sdtasdt0(X0,X1))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f642,f62])).
% 11.15/2.16 fof(f644,plain,(
% 11.15/2.16 spl0_62 <=> ~aNaturalNumber0(X0)|xm=X0|~sdtlseqdt0(xm,X0)|sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,X0))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f664,plain,(
% 11.15/2.16 ~aNaturalNumber0(xm)|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)|xm=sz00|xn=xp|~sdtlseqdt0(xn,xp)|~spl0_0),
% 11.15/2.16 inference(resolution,[status(thm)],[f123,f199])).
% 11.15/2.16 fof(f665,plain,(
% 11.15/2.16 ~spl0_7|~spl0_10|~spl0_8|spl0_35|spl0_27|~spl0_11|~spl0_0),
% 11.15/2.16 inference(split_clause,[status(thm)],[f664,f236,f247,f239,f398,f342,f250,f198])).
% 11.15/2.16 fof(f666,plain,(
% 11.15/2.16 spl0_66 <=> ~aNaturalNumber0(sdtasdt0(X0,sz10))|~aNaturalNumber0(X0)|sdtasdt0(X0,sz10)=X0|~sdtlseqdt0(sdtasdt0(X0,sz10),X0)|~aNaturalNumber0(sdtasdt0(X0,sz10))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f669,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sz10)|~aNaturalNumber0(sdtasdt0(X0,sz10))|~aNaturalNumber0(X0)|sz10=sz00|sdtasdt0(X0,sz10)=X0|~sdtlseqdt0(sdtasdt0(X0,sz10),X0)|~aNaturalNumber0(sdtasdt0(X0,sz10)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f123,f75])).
% 11.15/2.16 fof(f670,plain,(
% 11.15/2.16 ~spl0_52|spl0_66|spl0_54),
% 11.15/2.16 inference(split_clause,[status(thm)],[f669,f588,f666,f594])).
% 11.15/2.16 fof(f673,plain,(
% 11.15/2.16 spl0_67 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,sz10))|X0=sdtasdt0(X0,sz10)|~sdtlseqdt0(X0,sdtasdt0(X0,sz10))|~aNaturalNumber0(sdtasdt0(X0,sz10))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f676,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sz10)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,sz10))|sz10=sz00|X0=sdtasdt0(X0,sz10)|~sdtlseqdt0(X0,sdtasdt0(X0,sz10))|~aNaturalNumber0(sdtasdt0(X0,sz10)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f123,f75])).
% 11.15/2.16 fof(f677,plain,(
% 11.15/2.16 ~spl0_52|spl0_67|spl0_54),
% 11.15/2.16 inference(split_clause,[status(thm)],[f676,f588,f673,f594])).
% 11.15/2.16 fof(f702,plain,(
% 11.15/2.16 spl0_72 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(sz10,X1)|sdtlseqdt0(X1,X0)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f705,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(sz10)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(sz10,X1)|sdtlseqdt0(X1,X0))),
% 11.15/2.16 inference(resolution,[status(thm)],[f127,f464])).
% 11.15/2.16 fof(f706,plain,(
% 11.15/2.16 spl0_72|~spl0_52),
% 11.15/2.16 inference(split_clause,[status(thm)],[f705,f702,f588])).
% 11.15/2.16 fof(f707,plain,(
% 11.15/2.16 spl0_73 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,sz10)|sdtlseqdt0(X1,X0)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f708,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,sz10)|sdtlseqdt0(X1,X0)|~spl0_73)),
% 11.15/2.16 inference(component_clause,[status(thm)],[f707])).
% 11.15/2.16 fof(f710,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,sz10)|sdtlseqdt0(X1,X0))),
% 11.15/2.16 inference(resolution,[status(thm)],[f127,f111])).
% 11.15/2.16 fof(f711,plain,(
% 11.15/2.16 spl0_73|~spl0_52),
% 11.15/2.16 inference(split_clause,[status(thm)],[f710,f707,f588])).
% 11.15/2.16 fof(f712,plain,(
% 11.15/2.16 spl0_74 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz10)|X0=sz10),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f713,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz10)|X0=sz10|~spl0_74)),
% 11.15/2.16 inference(component_clause,[status(thm)],[f712])).
% 11.15/2.16 fof(f715,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X0)|~aNaturalNumber0(sz10)|~sdtlseqdt0(X0,sz10)|X0=sz10)),
% 11.15/2.16 inference(resolution,[status(thm)],[f127,f109])).
% 11.15/2.16 fof(f716,plain,(
% 11.15/2.16 spl0_74|~spl0_52),
% 11.15/2.16 inference(split_clause,[status(thm)],[f715,f712,f588])).
% 11.15/2.16 fof(f718,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~sdtlseqdt0(X1,sz10)|sdtlseqdt0(X1,X0)|~spl0_73)),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f708])).
% 11.15/2.16 fof(f719,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~sdtlseqdt0(X0,sz10)|~spl0_74)),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f713])).
% 11.15/2.16 fof(f720,plain,(
% 11.15/2.16 spl0_75 <=> aNaturalNumber0(sz00)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f722,plain,(
% 11.15/2.16 ~aNaturalNumber0(sz00)|spl0_75),
% 11.15/2.16 inference(component_clause,[status(thm)],[f720])).
% 11.15/2.16 fof(f723,plain,(
% 11.15/2.16 spl0_76 <=> sz00=sz00),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f730,plain,(
% 11.15/2.16 $false|spl0_75),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f722,f56])).
% 11.15/2.16 fof(f731,plain,(
% 11.15/2.16 spl0_75),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f730])).
% 11.15/2.16 fof(f736,plain,(
% 11.15/2.16 spl0_77 <=> ~aNaturalNumber0(X0)|sz10=X0|iLess0(sz10,X0)|~aNaturalNumber0(X0)|X0=sz00|X0=sz10),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f739,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sz10)|~aNaturalNumber0(X0)|sz10=X0|iLess0(sz10,X0)|~aNaturalNumber0(X0)|X0=sz00|X0=sz10)),
% 11.15/2.16 inference(resolution,[status(thm)],[f133,f127])).
% 11.15/2.16 fof(f740,plain,(
% 11.15/2.16 ~spl0_52|spl0_77),
% 11.15/2.16 inference(split_clause,[status(thm)],[f739,f588,f736])).
% 11.15/2.16 fof(f741,plain,(
% 11.15/2.16 spl0_78 <=> iLess0(xn,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f744,plain,(
% 11.15/2.16 ~aNaturalNumber0(xn)|~aNaturalNumber0(xp)|xn=xp|iLess0(xn,xp)),
% 11.15/2.16 inference(resolution,[status(thm)],[f133,f181])).
% 11.15/2.16 fof(f745,plain,(
% 11.15/2.16 ~spl0_10|~spl0_8|spl0_27|spl0_78),
% 11.15/2.16 inference(split_clause,[status(thm)],[f744,f247,f239,f342,f741])).
% 11.15/2.16 fof(f746,plain,(
% 11.15/2.16 spl0_79 <=> iLess0(xm,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f749,plain,(
% 11.15/2.16 ~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|xm=xp|iLess0(xm,xp)),
% 11.15/2.16 inference(resolution,[status(thm)],[f133,f183])).
% 11.15/2.16 fof(f750,plain,(
% 11.15/2.16 ~spl0_7|~spl0_8|spl0_25|spl0_79),
% 11.15/2.16 inference(split_clause,[status(thm)],[f749,f236,f239,f334,f746])).
% 11.15/2.16 fof(f751,plain,(
% 11.15/2.16 spl0_80 <=> iLess0(xp,xk)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f754,plain,(
% 11.15/2.16 ~aNaturalNumber0(xp)|~aNaturalNumber0(xk)|xp=xk|iLess0(xp,xk)),
% 11.15/2.16 inference(resolution,[status(thm)],[f133,f195])).
% 11.15/2.16 fof(f755,plain,(
% 11.15/2.16 ~spl0_8|~spl0_12|spl0_23|spl0_80),
% 11.15/2.16 inference(split_clause,[status(thm)],[f754,f239,f263,f326,f751])).
% 11.15/2.16 fof(f761,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(sdtasdt0(X0,X1))|~aNaturalNumber0(sdtasdt0(X0,X2))|sdtasdt0(X0,X1)=sdtasdt0(X0,X2)|iLess0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2))),
% 11.15/2.16 inference(resolution,[status(thm)],[f133,f122])).
% 11.15/2.16 fof(f762,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(sdtasdt0(X0,X1))|sdtasdt0(X0,X2)=sdtasdt0(X0,X1)|iLess0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))|~aNaturalNumber0(X0)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|X0=sz00|X2=X1|~sdtlseqdt0(X2,X1))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f761,f62])).
% 11.15/2.16 fof(f768,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X1,X2))|X0=sdtasdt0(X1,X2)|iLess0(X0,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(X2)|X2=sz00)),
% 11.15/2.16 inference(resolution,[status(thm)],[f133,f517])).
% 11.15/2.16 fof(f769,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X1,X2))|X0=sdtasdt0(X1,X2)|iLess0(X0,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(X2)|X2=sz00)),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f768])).
% 11.15/2.16 fof(f770,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sdtasdt0(X1,X2)|iLess0(X0,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(X2)|X2=sz00)),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f769,f62])).
% 11.15/2.16 fof(f771,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X1,X2))|X0=sdtasdt0(X1,X2)|iLess0(X0,sdtasdt0(X1,X2))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00)),
% 11.15/2.16 inference(resolution,[status(thm)],[f133,f462])).
% 11.15/2.16 fof(f772,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X1,X2))|X0=sdtasdt0(X1,X2)|iLess0(X0,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00)),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f771])).
% 11.15/2.16 fof(f773,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sdtasdt0(X1,X2)|iLess0(X0,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X2=sz00)),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f772,f62])).
% 11.15/2.16 fof(f783,plain,(
% 11.15/2.16 $false|~spl0_27),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f343,f180])).
% 11.15/2.16 fof(f784,plain,(
% 11.15/2.16 ~spl0_27),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f783])).
% 11.15/2.16 fof(f785,plain,(
% 11.15/2.16 $false|~spl0_25),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f335,f182])).
% 11.15/2.16 fof(f786,plain,(
% 11.15/2.16 ~spl0_25),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f785])).
% 11.15/2.16 fof(f828,plain,(
% 11.15/2.16 spl0_91 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,X0))|X0=sdtpldt0(sz00,X0)|~aNaturalNumber0(sdtpldt0(sz00,X0))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f831,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,X0))|X0=sdtpldt0(sz00,X0)|~aNaturalNumber0(sdtpldt0(sz00,X0)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f84,f69])).
% 11.15/2.16 fof(f832,plain,(
% 11.15/2.16 ~spl0_75|spl0_91),
% 11.15/2.16 inference(split_clause,[status(thm)],[f831,f720,f828])).
% 11.15/2.16 fof(f835,plain,(
% 11.15/2.16 spl0_92 <=> ~aNaturalNumber0(X0)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f836,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~spl0_92)),
% 11.15/2.16 inference(component_clause,[status(thm)],[f835])).
% 11.15/2.16 fof(f838,plain,(
% 11.15/2.16 spl0_93 <=> ~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X1=X1),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f848,plain,(
% 11.15/2.16 sdtlseqdt0(sz00,xp)|~spl0_35),
% 11.15/2.16 inference(backward_demodulation,[status(thm)],[f399,f183])).
% 11.15/2.16 fof(f849,plain,(
% 11.15/2.16 sdtasdt0(xn,xm)=sdtasdt0(xp,sz00)|~spl0_35|~spl0_0),
% 11.15/2.16 inference(backward_demodulation,[status(thm)],[f399,f199])).
% 11.15/2.16 fof(f850,plain,(
% 11.15/2.16 sdtasdt0(xn,sz00)=sdtasdt0(xp,sz00)|~spl0_35|~spl0_0),
% 11.15/2.16 inference(forward_demodulation,[status(thm)],[f399,f849])).
% 11.15/2.16 fof(f856,plain,(
% 11.15/2.16 spl0_94 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|sdtlseqdt0(X0,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f863,plain,(
% 11.15/2.16 spl0_95 <=> sdtlseqdt0(sz00,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f864,plain,(
% 11.15/2.16 sdtlseqdt0(sz00,xp)|~spl0_95),
% 11.15/2.16 inference(component_clause,[status(thm)],[f863])).
% 11.15/2.16 fof(f868,plain,(
% 11.15/2.16 spl0_96 <=> iLess0(sz00,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f875,plain,(
% 11.15/2.16 spl0_97 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|sdtlseqdt0(X0,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f880,plain,(
% 11.15/2.16 spl0_98 <=> sdtlseqdt0(xp,sz00)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f882,plain,(
% 11.15/2.16 ~sdtlseqdt0(xp,sz00)|spl0_98),
% 11.15/2.16 inference(component_clause,[status(thm)],[f880])).
% 11.15/2.16 fof(f889,plain,(
% 11.15/2.16 spl0_99 <=> sdtlseqdt0(xp,xk)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f892,plain,(
% 11.15/2.16 ~aNaturalNumber0(xp)|~aNaturalNumber0(xk)|sdtlseqdt0(xp,xk)|spl0_22),
% 11.15/2.16 inference(resolution,[status(thm)],[f325,f114])).
% 11.15/2.16 fof(f893,plain,(
% 11.15/2.16 ~spl0_8|~spl0_12|spl0_99|spl0_22),
% 11.15/2.16 inference(split_clause,[status(thm)],[f892,f239,f263,f889,f323])).
% 11.15/2.16 fof(f898,plain,(
% 11.15/2.16 spl0_100 <=> sdtlseqdt0(xr,xk)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f906,plain,(
% 11.15/2.16 xp=sz00|~spl0_60),
% 11.15/2.16 inference(resolution,[status(thm)],[f625,f173])).
% 11.15/2.16 fof(f907,plain,(
% 11.15/2.16 spl0_31|~spl0_60),
% 11.15/2.16 inference(split_clause,[status(thm)],[f906,f382,f624])).
% 11.15/2.16 fof(f919,plain,(
% 11.15/2.16 spl0_102 <=> sz00=sdtasdt0(xn,sz00)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f920,plain,(
% 11.15/2.16 sz00=sdtasdt0(xn,sz00)|~spl0_102),
% 11.15/2.16 inference(component_clause,[status(thm)],[f919])).
% 11.15/2.16 fof(f921,plain,(
% 11.15/2.16 ~sz00=sdtasdt0(xn,sz00)|spl0_102),
% 11.15/2.16 inference(component_clause,[status(thm)],[f919])).
% 11.15/2.16 fof(f937,plain,(
% 11.15/2.16 spl0_106 <=> sdtlseqdt0(sdtasdt0(xn,sz00),sz00)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f939,plain,(
% 11.15/2.16 ~sdtlseqdt0(sdtasdt0(xn,sz00),sz00)|spl0_106),
% 11.15/2.16 inference(component_clause,[status(thm)],[f937])).
% 11.15/2.16 fof(f949,plain,(
% 11.15/2.16 spl0_107 <=> ~aNaturalNumber0(X0)|sdtasdt0(sdtpldt0(X0,xn),sz00)=sdtpldt0(sdtasdt0(X0,sz00),sz00)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f952,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|sdtasdt0(sdtpldt0(X0,xn),sz00)=sdtpldt0(sdtasdt0(X0,sz00),sz00)|~spl0_102)),
% 11.15/2.16 inference(paramodulation,[status(thm)],[f920,f82])).
% 11.15/2.16 fof(f953,plain,(
% 11.15/2.16 ~spl0_75|spl0_107|~spl0_10|~spl0_102),
% 11.15/2.16 inference(split_clause,[status(thm)],[f952,f720,f949,f247,f919])).
% 11.15/2.16 fof(f954,plain,(
% 11.15/2.16 spl0_108 <=> ~aNaturalNumber0(X0)|sdtasdt0(sdtpldt0(xn,X0),sz00)=sdtpldt0(sz00,sdtasdt0(X0,sz00))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f957,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|sdtasdt0(sdtpldt0(xn,X0),sz00)=sdtpldt0(sz00,sdtasdt0(X0,sz00))|~spl0_102)),
% 11.15/2.16 inference(paramodulation,[status(thm)],[f920,f82])).
% 11.15/2.16 fof(f958,plain,(
% 11.15/2.16 ~spl0_75|~spl0_10|spl0_108|~spl0_102),
% 11.15/2.16 inference(split_clause,[status(thm)],[f957,f720,f247,f954,f919])).
% 11.15/2.16 fof(f959,plain,(
% 11.15/2.16 spl0_109 <=> ~aNaturalNumber0(X0)|sdtasdt0(xn,sdtpldt0(X0,sz00))=sdtpldt0(sdtasdt0(xn,X0),sz00)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f962,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|sdtasdt0(xn,sdtpldt0(X0,sz00))=sdtpldt0(sdtasdt0(xn,X0),sz00)|~spl0_102)),
% 11.15/2.16 inference(paramodulation,[status(thm)],[f920,f81])).
% 11.15/2.16 fof(f963,plain,(
% 11.15/2.16 ~spl0_10|spl0_109|~spl0_75|~spl0_102),
% 11.15/2.16 inference(split_clause,[status(thm)],[f962,f247,f959,f720,f919])).
% 11.15/2.16 fof(f964,plain,(
% 11.15/2.16 spl0_110 <=> ~aNaturalNumber0(X0)|sdtasdt0(xn,sdtpldt0(sz00,X0))=sdtpldt0(sz00,sdtasdt0(xn,X0))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f967,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|sdtasdt0(xn,sdtpldt0(sz00,X0))=sdtpldt0(sz00,sdtasdt0(xn,X0))|~spl0_102)),
% 11.15/2.16 inference(paramodulation,[status(thm)],[f920,f81])).
% 11.15/2.16 fof(f968,plain,(
% 11.15/2.16 ~spl0_10|~spl0_75|spl0_110|~spl0_102),
% 11.15/2.16 inference(split_clause,[status(thm)],[f967,f247,f720,f964,f919])).
% 11.15/2.16 fof(f969,plain,(
% 11.15/2.16 spl0_111 <=> ~aNaturalNumber0(X0)|sdtasdt0(sz00,X0)=sdtasdt0(xn,sdtasdt0(sz00,X0))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f972,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|sdtasdt0(sz00,X0)=sdtasdt0(xn,sdtasdt0(sz00,X0))|~spl0_102)),
% 11.15/2.16 inference(paramodulation,[status(thm)],[f920,f73])).
% 11.15/2.16 fof(f973,plain,(
% 11.15/2.16 ~spl0_10|~spl0_75|spl0_111|~spl0_102),
% 11.15/2.16 inference(split_clause,[status(thm)],[f972,f247,f720,f969,f919])).
% 11.15/2.16 fof(f974,plain,(
% 11.15/2.16 spl0_112 <=> sdtasdt0(sz00,xn)=sz00),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f975,plain,(
% 11.15/2.16 sdtasdt0(sz00,xn)=sz00|~spl0_112),
% 11.15/2.16 inference(component_clause,[status(thm)],[f974])).
% 11.15/2.16 fof(f976,plain,(
% 11.15/2.16 ~sdtasdt0(sz00,xn)=sz00|spl0_112),
% 11.15/2.16 inference(component_clause,[status(thm)],[f974])).
% 11.15/2.16 fof(f988,plain,(
% 11.15/2.16 spl0_114 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|sdtlseqdt0(X0,sz00)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f993,plain,(
% 11.15/2.16 spl0_115 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|sdtlseqdt0(X0,sz00)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f998,plain,(
% 11.15/2.16 spl0_116 <=> sdtlseqdt0(sz00,sz00)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f999,plain,(
% 11.15/2.16 sdtlseqdt0(sz00,sz00)|~spl0_116),
% 11.15/2.16 inference(component_clause,[status(thm)],[f998])).
% 11.15/2.16 fof(f1005,plain,(
% 11.15/2.16 $false|~spl0_92),
% 11.15/2.16 inference(backward_subsumption_resolution,[status(thm)],[f173,f836])).
% 11.15/2.16 fof(f1006,plain,(
% 11.15/2.16 ~spl0_92),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f1005])).
% 11.15/2.16 fof(f1007,plain,(
% 11.15/2.16 ~sdtlseqdt0(sdtasdt0(xn,sz00),xp)|~spl0_35|spl0_36),
% 11.15/2.16 inference(forward_demodulation,[status(thm)],[f399,f430])).
% 11.15/2.16 fof(f1008,plain,(
% 11.15/2.16 ~sdtlseqdt0(sz00,xp)|~spl0_102|~spl0_35|spl0_36),
% 11.15/2.16 inference(forward_demodulation,[status(thm)],[f920,f1007])).
% 11.15/2.16 fof(f1009,plain,(
% 11.15/2.16 $false|~spl0_102|~spl0_35|spl0_36),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1008,f848])).
% 11.15/2.16 fof(f1010,plain,(
% 11.15/2.16 ~spl0_102|~spl0_35|spl0_36),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f1009])).
% 11.15/2.16 fof(f1011,plain,(
% 11.15/2.16 sdtasdt0(xn,sz00)=xp|~spl0_35|~spl0_37),
% 11.15/2.16 inference(forward_demodulation,[status(thm)],[f399,f432])).
% 11.15/2.16 fof(f1012,plain,(
% 11.15/2.16 sz00=xp|~spl0_102|~spl0_35|~spl0_37),
% 11.15/2.16 inference(forward_demodulation,[status(thm)],[f920,f1011])).
% 11.15/2.16 fof(f1013,plain,(
% 11.15/2.16 $false|spl0_31|~spl0_102|~spl0_35|~spl0_37),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1012,f384])).
% 11.15/2.16 fof(f1014,plain,(
% 11.15/2.16 spl0_31|~spl0_102|~spl0_35|~spl0_37),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f1013])).
% 11.15/2.16 fof(f1023,plain,(
% 11.15/2.16 sz00=sdtasdt0(xp,sz00)|~spl0_102|~spl0_35|~spl0_0),
% 11.15/2.16 inference(forward_demodulation,[status(thm)],[f920,f850])).
% 11.15/2.16 fof(f1037,plain,(
% 11.15/2.16 $false|~spl0_33),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f391,f186])).
% 11.15/2.16 fof(f1038,plain,(
% 11.15/2.16 ~spl0_33),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f1037])).
% 11.15/2.16 fof(f1048,plain,(
% 11.15/2.16 ~aNaturalNumber0(xm)|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)|xm=sz00|xn=xp|~sdtlseqdt0(xn,xp)|spl0_1),
% 11.15/2.16 inference(resolution,[status(thm)],[f124,f203])).
% 11.15/2.16 fof(f1049,plain,(
% 11.15/2.16 ~spl0_7|~spl0_10|~spl0_8|spl0_35|spl0_27|~spl0_11|spl0_1),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1048,f236,f247,f239,f398,f342,f250,f201])).
% 11.15/2.16 fof(f1055,plain,(
% 11.15/2.16 spl0_118 <=> ~aNaturalNumber0(X0)|sz00=X0|~sdtlseqdt0(sz00,X0)|sdtlseqdt0(sz00,sdtasdt0(X0,xn))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1058,plain,(
% 11.15/2.16 spl0_119 <=> xn=sz00),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1059,plain,(
% 11.15/2.16 xn=sz00|~spl0_119),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1058])).
% 11.15/2.16 fof(f1061,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|xn=sz00|sz00=X0|~sdtlseqdt0(sz00,X0)|sdtlseqdt0(sz00,sdtasdt0(X0,xn))|~spl0_112)),
% 11.15/2.16 inference(paramodulation,[status(thm)],[f975,f124])).
% 11.15/2.16 fof(f1062,plain,(
% 11.15/2.16 ~spl0_10|~spl0_75|spl0_118|spl0_119|~spl0_112),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1061,f247,f720,f1055,f1058,f974])).
% 11.15/2.16 fof(f1068,plain,(
% 11.15/2.16 spl0_121 <=> ~aNaturalNumber0(X0)|X0=sz00|~sdtlseqdt0(X0,sz00)|sdtlseqdt0(sdtasdt0(X0,xn),sz00)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1071,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|xn=sz00|X0=sz00|~sdtlseqdt0(X0,sz00)|sdtlseqdt0(sdtasdt0(X0,xn),sz00)|~spl0_112)),
% 11.15/2.16 inference(paramodulation,[status(thm)],[f975,f124])).
% 11.15/2.16 fof(f1072,plain,(
% 11.15/2.16 ~spl0_10|spl0_121|~spl0_75|spl0_119|~spl0_112),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1071,f247,f1068,f720,f1058,f974])).
% 11.15/2.16 fof(f1079,plain,(
% 11.15/2.16 spl0_122 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(xn,X0)|~aNaturalNumber0(X0)|sdtlseqdt0(X0,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1082,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|sdtlseqdt0(xn,X0)|~aNaturalNumber0(X0)|sdtlseqdt0(X0,xp)|~spl0_42)),
% 11.15/2.16 inference(resolution,[status(thm)],[f114,f466])).
% 11.15/2.16 fof(f1083,plain,(
% 11.15/2.16 ~spl0_10|spl0_122|~spl0_42),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1082,f247,f1079,f465])).
% 11.15/2.16 fof(f1090,plain,(
% 11.15/2.16 spl0_123 <=> xn=sz10),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1091,plain,(
% 11.15/2.16 xn=sz10|~spl0_123),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1090])).
% 11.15/2.16 fof(f1093,plain,(
% 11.15/2.16 spl0_124 <=> sdtlseqdt0(sz10,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1094,plain,(
% 11.15/2.16 sdtlseqdt0(sz10,xp)|~spl0_124),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1093])).
% 11.15/2.16 fof(f1098,plain,(
% 11.15/2.16 spl0_125 <=> ~aNaturalNumber0(sdtpldt0(X0,sz00))|~aNaturalNumber0(X0)|sdtpldt0(X0,sz00)=X0|~aNaturalNumber0(sdtpldt0(X0,sz00))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1101,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtpldt0(X0,sz00))|~aNaturalNumber0(X0)|sdtpldt0(X0,sz00)=X0|~aNaturalNumber0(sdtpldt0(X0,sz00)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f85,f68])).
% 11.15/2.16 fof(f1102,plain,(
% 11.15/2.16 ~spl0_75|spl0_125),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1101,f720,f1098])).
% 11.15/2.16 fof(f1108,plain,(
% 11.15/2.16 spl0_126 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(sz10,X0))|X0=sdtasdt0(sz10,X0)|~aNaturalNumber0(sdtasdt0(sz10,X0))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1111,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sz10)|sz10=sz00|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(sz10,X0))|X0=sdtasdt0(sz10,X0)|~aNaturalNumber0(sdtasdt0(sz10,X0)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f87,f76])).
% 11.15/2.16 fof(f1112,plain,(
% 11.15/2.16 ~spl0_52|spl0_54|spl0_126),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1111,f588,f594,f1108])).
% 11.15/2.16 fof(f1115,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X1=X1)),
% 11.15/2.16 inference(equality_resolution,[status(esa)],[f87])).
% 11.15/2.16 fof(f1116,plain,(
% 11.15/2.16 spl0_60|spl0_93),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1115,f624,f838])).
% 11.15/2.16 fof(f1118,plain,(
% 11.15/2.16 spl0_127 <=> ~aNaturalNumber0(sdtasdt0(X0,sz10))|~aNaturalNumber0(X0)|sdtasdt0(X0,sz10)=X0|~aNaturalNumber0(sdtasdt0(X0,sz10))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1121,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sz10)|sz10=sz00|~aNaturalNumber0(sdtasdt0(X0,sz10))|~aNaturalNumber0(X0)|sdtasdt0(X0,sz10)=X0|~aNaturalNumber0(sdtasdt0(X0,sz10)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f88,f75])).
% 11.15/2.16 fof(f1122,plain,(
% 11.15/2.16 ~spl0_52|spl0_54|spl0_127),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1121,f588,f594,f1118])).
% 11.15/2.16 fof(f1134,plain,(
% 11.15/2.16 ~sdtlseqdt0(xp,sz00)|~spl0_119),
% 11.15/2.16 inference(backward_demodulation,[status(thm)],[f1059,f178])).
% 11.15/2.16 fof(f1138,plain,(
% 11.15/2.16 ~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)|sdtlseqdt0(sz00,xp)|~spl0_119),
% 11.15/2.16 inference(resolution,[status(thm)],[f1134,f114])).
% 11.15/2.16 fof(f1139,plain,(
% 11.15/2.16 ~spl0_75|~spl0_8|spl0_95|~spl0_119),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1138,f720,f239,f863,f1058])).
% 11.15/2.16 fof(f1200,plain,(
% 11.15/2.16 spl0_137 <=> ~aNaturalNumber0(X0)|xm=X0|~sdtlseqdt0(xm,X0)|sdtlseqdt0(xp,sdtasdt0(xp,X0))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1224,plain,(
% 11.15/2.16 spl0_141 <=> xm=xk),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1225,plain,(
% 11.15/2.16 xm=xk|~spl0_141),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1224])).
% 11.15/2.16 fof(f1227,plain,(
% 11.15/2.16 spl0_142 <=> sdtlseqdt0(xm,xk)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1229,plain,(
% 11.15/2.16 ~sdtlseqdt0(xm,xk)|spl0_142),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1227])).
% 11.15/2.16 fof(f1230,plain,(
% 11.15/2.16 ~aNaturalNumber0(xp)|~aNaturalNumber0(xm)|~aNaturalNumber0(xk)|xp=sz00|xm=xk|~sdtlseqdt0(xm,xk)|spl0_3),
% 11.15/2.16 inference(resolution,[status(thm)],[f209,f122])).
% 11.15/2.16 fof(f1231,plain,(
% 11.15/2.16 ~spl0_8|~spl0_7|~spl0_12|spl0_31|spl0_141|~spl0_142|spl0_3),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1230,f239,f236,f263,f382,f1224,f1227,f207])).
% 11.15/2.16 fof(f1234,plain,(
% 11.15/2.16 sdtlseqdt0(sdtasdt0(sz10,xm),sdtasdt0(xp,xm))|~spl0_123|~spl0_1),
% 11.15/2.16 inference(forward_demodulation,[status(thm)],[f1091,f202])).
% 11.15/2.16 fof(f1240,plain,(
% 11.15/2.16 sdtlseqdt0(xp,xm)|~spl0_141),
% 11.15/2.16 inference(backward_demodulation,[status(thm)],[f1225,f195])).
% 11.15/2.16 fof(f1241,plain,(
% 11.15/2.16 $false|~spl0_141),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1240,f179])).
% 11.15/2.16 fof(f1242,plain,(
% 11.15/2.16 ~spl0_141),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f1241])).
% 11.15/2.16 fof(f1243,plain,(
% 11.15/2.16 spl0_143 <=> sdtlseqdt0(xk,xm)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1244,plain,(
% 11.15/2.16 sdtlseqdt0(xk,xm)|~spl0_143),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1243])).
% 11.15/2.16 fof(f1246,plain,(
% 11.15/2.16 ~aNaturalNumber0(xk)|~aNaturalNumber0(xm)|sdtlseqdt0(xk,xm)|spl0_142),
% 11.15/2.16 inference(resolution,[status(thm)],[f1229,f114])).
% 11.15/2.16 fof(f1247,plain,(
% 11.15/2.16 ~spl0_12|~spl0_7|spl0_143|spl0_142),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1246,f263,f236,f1243,f1227])).
% 11.15/2.16 fof(f1257,plain,(
% 11.15/2.16 ~aNaturalNumber0(xp)|xp=sz00|~aNaturalNumber0(xm)|~aNaturalNumber0(xk)|xm=xk|~spl0_2),
% 11.15/2.16 inference(resolution,[status(thm)],[f205,f87])).
% 11.15/2.16 fof(f1258,plain,(
% 11.15/2.16 ~spl0_8|spl0_31|~spl0_7|~spl0_12|spl0_141|~spl0_2),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1257,f239,f382,f236,f263,f1224,f204])).
% 11.15/2.16 fof(f1296,plain,(
% 11.15/2.16 spl0_148 <=> sdtlseqdt0(xp,sdtasdt0(xp,xm))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1297,plain,(
% 11.15/2.16 sdtlseqdt0(xp,sdtasdt0(xp,xm))|~spl0_148),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1296])).
% 11.15/2.16 fof(f1305,plain,(
% 11.15/2.16 ~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)|~sdtlseqdt0(xp,sz00)|xp=sz00|~spl0_95),
% 11.15/2.16 inference(resolution,[status(thm)],[f109,f864])).
% 11.15/2.16 fof(f1306,plain,(
% 11.15/2.16 ~spl0_8|~spl0_75|~spl0_98|spl0_31|~spl0_95),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1305,f239,f720,f880,f382,f863])).
% 11.15/2.16 fof(f1307,plain,(
% 11.15/2.16 spl0_149 <=> sdtlseqdt0(xp,sz10)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1309,plain,(
% 11.15/2.16 ~sdtlseqdt0(xp,sz10)|spl0_149),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1307])).
% 11.15/2.16 fof(f1310,plain,(
% 11.15/2.16 spl0_150 <=> xp=sz10),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1311,plain,(
% 11.15/2.16 xp=sz10|~spl0_150),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1310])).
% 11.15/2.16 fof(f1313,plain,(
% 11.15/2.16 ~aNaturalNumber0(xp)|~aNaturalNumber0(sz10)|~sdtlseqdt0(xp,sz10)|xp=sz10|~spl0_124),
% 11.15/2.16 inference(resolution,[status(thm)],[f109,f1094])).
% 11.15/2.16 fof(f1314,plain,(
% 11.15/2.16 ~spl0_8|~spl0_52|~spl0_149|spl0_150|~spl0_124),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1313,f239,f588,f1307,f1310,f1093])).
% 11.15/2.16 fof(f1319,plain,(
% 11.15/2.16 spl0_151 <=> aNaturalNumber0(sdtasdt0(sz00,xm))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1321,plain,(
% 11.15/2.16 ~aNaturalNumber0(sdtasdt0(sz00,xm))|spl0_151),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1319])).
% 11.15/2.16 fof(f1330,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(sdtasdt0(X0,X1))|~aNaturalNumber0(sdtasdt0(X0,X2))|~sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))|sdtasdt0(X0,X1)=sdtasdt0(X0,X2)|~aNaturalNumber0(X0)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|X0=sz00|X2=X1|~sdtlseqdt0(X2,X1))),
% 11.15/2.16 inference(resolution,[status(thm)],[f109,f122])).
% 11.15/2.16 fof(f1331,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(sdtasdt0(X0,X1))|~sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))|sdtasdt0(X0,X1)=sdtasdt0(X0,X2)|~aNaturalNumber0(X0)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|X0=sz00|X2=X1|~sdtlseqdt0(X2,X1))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1330,f62])).
% 11.15/2.16 fof(f1332,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(sdtasdt0(X0,X1))|~aNaturalNumber0(sdtasdt0(X2,X1))|~sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))|sdtasdt0(X0,X1)=sdtasdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X0)|X1=sz00|X2=X0|~sdtlseqdt0(X2,X0))),
% 11.15/2.16 inference(resolution,[status(thm)],[f109,f124])).
% 11.15/2.16 fof(f1333,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(sdtasdt0(X0,X1))|~sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))|sdtasdt0(X0,X1)=sdtasdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X0)|X1=sz00|X2=X0|~sdtlseqdt0(X2,X0))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1332,f62])).
% 11.15/2.16 fof(f1353,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(sdtasdt0(X3,X2))|~sdtlseqdt0(X0,sdtasdt0(X1,X2))|sdtlseqdt0(X0,sdtasdt0(X3,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|X2=sz00|X1=X3|~sdtlseqdt0(X1,X3))),
% 11.15/2.16 inference(resolution,[status(thm)],[f111,f124])).
% 11.15/2.16 fof(f1354,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X1,X2))|~sdtlseqdt0(X0,sdtasdt0(X3,X2))|sdtlseqdt0(X0,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|X2=sz00|X3=X1|~sdtlseqdt0(X3,X1))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1353,f62])).
% 11.15/2.16 fof(f1384,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(sdtasdt0(X0,X1))|~aNaturalNumber0(sdtasdt0(X0,X2))|sdtasdt0(X0,X1)=sdtasdt0(X0,X2)|iLess0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2))),
% 11.15/2.16 inference(resolution,[status(thm)],[f133,f122])).
% 11.15/2.16 fof(f1385,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(sdtasdt0(X0,X1))|sdtasdt0(X0,X2)=sdtasdt0(X0,X1)|iLess0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))|~aNaturalNumber0(X0)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|X0=sz00|X2=X1|~sdtlseqdt0(X2,X1))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1384,f62])).
% 11.15/2.16 fof(f1386,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(sdtasdt0(X0,X1))|~aNaturalNumber0(sdtasdt0(X2,X1))|sdtasdt0(X0,X1)=sdtasdt0(X2,X1)|iLess0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~aNaturalNumber0(X2)|X1=sz00|X0=X2|~sdtlseqdt0(X0,X2))),
% 11.15/2.16 inference(resolution,[status(thm)],[f133,f124])).
% 11.15/2.16 fof(f1387,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(sdtasdt0(X0,X1))|sdtasdt0(X2,X1)=sdtasdt0(X0,X1)|iLess0(sdtasdt0(X2,X1),sdtasdt0(X0,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X0)|X1=sz00|X2=X0|~sdtlseqdt0(X2,X0))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1386,f62])).
% 11.15/2.16 fof(f1393,plain,(
% 11.15/2.16 spl0_154 <=> ~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X0)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1394,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X0)|~spl0_154)),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1393])).
% 11.15/2.16 fof(f1404,plain,(
% 11.15/2.16 spl0_155 <=> sdtasdt0(xp,xm)=sz00),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1409,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|~spl0_154)),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f1394])).
% 11.15/2.16 fof(f1410,plain,(
% 11.15/2.16 spl0_156 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_0(sz00,X0))|X0=sz00),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1413,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_0(sz00,X0))|X0=sz00)),
% 11.15/2.16 inference(resolution,[status(thm)],[f98,f90])).
% 11.15/2.16 fof(f1414,plain,(
% 11.15/2.16 spl0_156|~spl0_75),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1413,f1410,f720])).
% 11.15/2.16 fof(f1415,plain,(
% 11.15/2.16 spl0_157 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_0(sz00,X0))|sk0_0(sz00,X0)=sz00),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1418,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_0(sz00,X0))|sk0_0(sz00,X0)=sz00)),
% 11.15/2.16 inference(resolution,[status(thm)],[f98,f91])).
% 11.15/2.16 fof(f1419,plain,(
% 11.15/2.16 spl0_157|~spl0_75),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1418,f1415,f720])).
% 11.15/2.16 fof(f1422,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,sdtpldt0(X0,X1))|~aNaturalNumber0(X1))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f211,f60])).
% 11.15/2.16 fof(f1426,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(X0,X1))|~sdtlseqdt0(X2,X0)|sdtlseqdt0(X2,sdtpldt0(X0,X1)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f1422,f111])).
% 11.15/2.16 fof(f1427,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtpldt0(X0,X1))|~sdtlseqdt0(X2,X0)|sdtlseqdt0(X2,sdtpldt0(X0,X1)))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f1426])).
% 11.15/2.16 fof(f1428,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X0)|sdtlseqdt0(X2,sdtpldt0(X0,X1)))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1427,f60])).
% 11.15/2.16 fof(f1468,plain,(
% 11.15/2.16 isPrime0(sz10)|~spl0_150),
% 11.15/2.16 inference(backward_demodulation,[status(thm)],[f1311,f176])).
% 11.15/2.16 fof(f1469,plain,(
% 11.15/2.16 $false|~spl0_150),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1468,f224])).
% 11.15/2.16 fof(f1470,plain,(
% 11.15/2.16 ~spl0_150),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f1469])).
% 11.15/2.16 fof(f1473,plain,(
% 11.15/2.16 spl0_160 <=> iLess0(sz10,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1476,plain,(
% 11.15/2.16 ~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)|sz10=xp|iLess0(sz10,xp)|~spl0_124),
% 11.15/2.16 inference(resolution,[status(thm)],[f1094,f133])).
% 11.15/2.16 fof(f1477,plain,(
% 11.15/2.16 ~spl0_52|~spl0_8|spl0_150|spl0_160|~spl0_124),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1476,f588,f239,f1310,f1473,f1093])).
% 11.15/2.16 fof(f1478,plain,(
% 11.15/2.16 spl0_161 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz10)|sdtlseqdt0(X0,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1481,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)|~sdtlseqdt0(X0,sz10)|sdtlseqdt0(X0,xp)|~spl0_124)),
% 11.15/2.16 inference(resolution,[status(thm)],[f1094,f111])).
% 11.15/2.16 fof(f1482,plain,(
% 11.15/2.16 spl0_161|~spl0_52|~spl0_8|~spl0_124),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1481,f1478,f588,f239,f1093])).
% 11.15/2.16 fof(f1492,plain,(
% 11.15/2.16 spl0_163 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtasdt0(xn,xm))|sdtlseqdt0(X0,sdtasdt0(xp,xm))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1495,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(sdtasdt0(xp,xm))|~sdtlseqdt0(X0,sdtasdt0(xn,xm))|sdtlseqdt0(X0,sdtasdt0(xp,xm))|~spl0_1)),
% 11.15/2.16 inference(resolution,[status(thm)],[f202,f111])).
% 11.15/2.16 fof(f1496,plain,(
% 11.15/2.16 spl0_163|~spl0_13|~spl0_5|~spl0_1),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1495,f1492,f268,f228,f201])).
% 11.15/2.16 fof(f1506,plain,(
% 11.15/2.16 sz10=sz00|~spl0_154),
% 11.15/2.16 inference(resolution,[status(thm)],[f1409,f57])).
% 11.15/2.16 fof(f1507,plain,(
% 11.15/2.16 spl0_54|~spl0_154),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1506,f594,f1393])).
% 11.15/2.16 fof(f1519,plain,(
% 11.15/2.16 ~aNaturalNumber0(xn)|spl0_112),
% 11.15/2.16 inference(resolution,[status(thm)],[f976,f79])).
% 11.15/2.16 fof(f1520,plain,(
% 11.15/2.16 ~spl0_10|spl0_112),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1519,f247,f974])).
% 11.15/2.16 fof(f1554,plain,(
% 11.15/2.16 spl0_167 <=> aNaturalNumber0(sdtasdt0(sz10,xm))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1556,plain,(
% 11.15/2.16 ~aNaturalNumber0(sdtasdt0(sz10,xm))|spl0_167),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1554])).
% 11.15/2.16 fof(f1565,plain,(
% 11.15/2.16 spl0_170 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtasdt0(sz10,xm))|sdtlseqdt0(X0,sdtasdt0(xp,xm))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1568,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(sz10,xm))|~aNaturalNumber0(sdtasdt0(xp,xm))|~sdtlseqdt0(X0,sdtasdt0(sz10,xm))|sdtlseqdt0(X0,sdtasdt0(xp,xm))|~spl0_123|~spl0_1)),
% 11.15/2.16 inference(resolution,[status(thm)],[f1234,f111])).
% 11.15/2.16 fof(f1569,plain,(
% 11.15/2.16 spl0_170|~spl0_167|~spl0_5|~spl0_123|~spl0_1),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1568,f1565,f1554,f228,f1090,f201])).
% 11.15/2.16 fof(f1612,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X0)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtpldt0(X0,X1))|X2=sdtpldt0(X0,X1)|iLess0(X2,sdtpldt0(X0,X1)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f1428,f133])).
% 11.15/2.16 fof(f1613,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X0)|~aNaturalNumber0(sdtpldt0(X0,X1))|X2=sdtpldt0(X0,X1)|iLess0(X2,sdtpldt0(X0,X1)))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f1612])).
% 11.15/2.16 fof(f1614,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X0)|X2=sdtpldt0(X0,X1)|iLess0(X2,sdtpldt0(X0,X1)))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1613,f60])).
% 11.15/2.16 fof(f1630,plain,(
% 11.15/2.16 spl0_173 <=> sdtlseqdt0(sdtasdt0(xp,xm),xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1632,plain,(
% 11.15/2.16 ~sdtlseqdt0(sdtasdt0(xp,xm),xp)|spl0_173),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1630])).
% 11.15/2.16 fof(f1723,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sk0_3(X0))|~aNaturalNumber0(X0)|X0=sz00|sdtlseqdt0(sk0_3(X0),X0)|~aNaturalNumber0(X0)|X0=sz00|X0=sz10)),
% 11.15/2.16 inference(resolution,[status(thm)],[f153,f169])).
% 11.15/2.16 fof(f1724,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sk0_3(X0))|~aNaturalNumber0(X0)|X0=sz00|sdtlseqdt0(sk0_3(X0),X0)|X0=sz10)),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f1723])).
% 11.15/2.16 fof(f1725,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|sdtlseqdt0(sk0_3(X0),X0)|X0=sz10)),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1724,f168])).
% 11.15/2.16 fof(f1726,plain,(
% 11.15/2.16 spl0_176 <=> sdtasdt0(xn,xm)=sz00),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1727,plain,(
% 11.15/2.16 sdtasdt0(xn,xm)=sz00|~spl0_176),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1726])).
% 11.15/2.16 fof(f1729,plain,(
% 11.15/2.16 ~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))|sdtasdt0(xn,xm)=sz00|sdtlseqdt0(xp,sdtasdt0(xn,xm))),
% 11.15/2.16 inference(resolution,[status(thm)],[f153,f177])).
% 11.15/2.16 fof(f1730,plain,(
% 11.15/2.16 ~spl0_8|~spl0_13|spl0_176|spl0_34),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1729,f239,f268,f1726,f393])).
% 11.15/2.16 fof(f1731,plain,(
% 11.15/2.16 spl0_177 <=> sdtlseqdt0(xr,sdtasdt0(xn,xm))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1732,plain,(
% 11.15/2.16 sdtlseqdt0(xr,sdtasdt0(xn,xm))|~spl0_177),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1731])).
% 11.15/2.16 fof(f1734,plain,(
% 11.15/2.16 ~aNaturalNumber0(xr)|~aNaturalNumber0(sdtasdt0(xn,xm))|sdtasdt0(xn,xm)=sz00|sdtlseqdt0(xr,sdtasdt0(xn,xm))),
% 11.15/2.16 inference(resolution,[status(thm)],[f153,f194])).
% 11.15/2.16 fof(f1735,plain,(
% 11.15/2.16 ~spl0_19|~spl0_13|spl0_176|spl0_177),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1734,f312,f268,f1726,f1731])).
% 11.15/2.16 fof(f1736,plain,(
% 11.15/2.16 ~aNaturalNumber0(xr)|~aNaturalNumber0(xk)|xk=sz00|sdtlseqdt0(xr,xk)),
% 11.15/2.16 inference(resolution,[status(thm)],[f153,f191])).
% 11.15/2.16 fof(f1737,plain,(
% 11.15/2.16 ~spl0_19|~spl0_12|spl0_33|spl0_100),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1736,f312,f263,f390,f898])).
% 11.15/2.16 fof(f1741,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~aNaturalNumber0(sk0_3(X0))|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,sk0_3(X0))|sdtlseqdt0(X1,X0))),
% 11.15/2.16 inference(resolution,[status(thm)],[f1725,f111])).
% 11.15/2.16 fof(f1742,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~aNaturalNumber0(sk0_3(X0))|~sdtlseqdt0(X1,sk0_3(X0))|sdtlseqdt0(X1,X0))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f1741])).
% 11.15/2.16 fof(f1743,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~sdtlseqdt0(X1,sk0_3(X0))|sdtlseqdt0(X1,X0))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1742,f168])).
% 11.15/2.16 fof(f1747,plain,(
% 11.15/2.16 spl0_178 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtmndt0(sz00,X0))|sdtmndt0(sz00,X0)=sz00),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1750,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtmndt0(sz00,X0))|sdtmndt0(sz00,X0)=sz00)),
% 11.15/2.16 inference(resolution,[status(thm)],[f213,f91])).
% 11.15/2.16 fof(f1751,plain,(
% 11.15/2.16 spl0_178|~spl0_75),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1750,f1747,f720])).
% 11.15/2.16 fof(f1752,plain,(
% 11.15/2.16 spl0_179 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtmndt0(sz00,X0))|X0=sz00),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1755,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtmndt0(sz00,X0))|X0=sz00)),
% 11.15/2.16 inference(resolution,[status(thm)],[f213,f90])).
% 11.15/2.16 fof(f1756,plain,(
% 11.15/2.16 spl0_179|~spl0_75),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1755,f1752,f720])).
% 11.15/2.16 fof(f1765,plain,(
% 11.15/2.16 spl0_180 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,X0))|X0=sdtpldt0(sz00,X0)|~sdtlseqdt0(X0,sdtpldt0(sz00,X0))|~aNaturalNumber0(sdtpldt0(sz00,X0))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1768,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,X0))|X0=sdtpldt0(sz00,X0)|~sdtlseqdt0(X0,sdtpldt0(sz00,X0))|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtpldt0(sz00,X0)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f116,f69])).
% 11.15/2.16 fof(f1769,plain,(
% 11.15/2.16 spl0_180|~spl0_75),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1768,f1765,f720])).
% 11.15/2.16 fof(f1775,plain,(
% 11.15/2.16 spl0_181 <=> ~aNaturalNumber0(sdtpldt0(sz00,X0))|~aNaturalNumber0(X0)|sdtpldt0(sz00,X0)=X0|~sdtlseqdt0(sdtpldt0(sz00,X0),X0)|~aNaturalNumber0(sdtpldt0(sz00,X0))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1778,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,X0))|~aNaturalNumber0(X0)|sdtpldt0(sz00,X0)=X0|~sdtlseqdt0(sdtpldt0(sz00,X0),X0)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtpldt0(sz00,X0)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f116,f69])).
% 11.15/2.16 fof(f1779,plain,(
% 11.15/2.16 spl0_181|~spl0_75),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1778,f1775,f720])).
% 11.15/2.16 fof(f1786,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(sdtpldt0(X2,X0))|~aNaturalNumber0(sdtpldt0(X2,X1))|~sdtlseqdt0(X3,sdtpldt0(X2,X0))|sdtlseqdt0(X3,sdtpldt0(X2,X1)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f117,f111])).
% 11.15/2.16 fof(f1787,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(sdtpldt0(X2,X1))|~sdtlseqdt0(X3,sdtpldt0(X2,X0))|sdtlseqdt0(X3,sdtpldt0(X2,X1)))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f1786,f60])).
% 11.15/2.16 fof(f1790,plain,(
% 11.15/2.16 ~aNaturalNumber0(sz00)|~aNaturalNumber0(xm)|spl0_151),
% 11.15/2.16 inference(resolution,[status(thm)],[f1321,f62])).
% 11.15/2.16 fof(f1791,plain,(
% 11.15/2.16 ~spl0_75|~spl0_7|spl0_151),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1790,f720,f236,f1319])).
% 11.15/2.16 fof(f1792,plain,(
% 11.15/2.16 ~aNaturalNumber0(xn)|sz00=sz00|~spl0_112),
% 11.15/2.16 inference(paramodulation,[status(thm)],[f975,f79])).
% 11.15/2.16 fof(f1793,plain,(
% 11.15/2.16 ~spl0_10|spl0_76|~spl0_112),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1792,f247,f723,f974])).
% 11.15/2.16 fof(f1812,plain,(
% 11.15/2.16 ~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|xn=sz00|sdtlseqdt0(sz00,sz00)|~spl0_112),
% 11.15/2.16 inference(paramodulation,[status(thm)],[f975,f129])).
% 11.15/2.16 fof(f1813,plain,(
% 11.15/2.16 ~spl0_10|~spl0_75|spl0_119|spl0_116|~spl0_112),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1812,f247,f720,f1058,f998,f974])).
% 11.15/2.16 fof(f1814,plain,(
% 11.15/2.16 spl0_184 <=> ~aNaturalNumber0(X0)|sdtasdt0(sz00,X0)=sdtasdt0(sz00,sdtasdt0(xn,X0))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1817,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|sdtasdt0(sz00,X0)=sdtasdt0(sz00,sdtasdt0(xn,X0))|~spl0_112)),
% 11.15/2.16 inference(paramodulation,[status(thm)],[f975,f73])).
% 11.15/2.16 fof(f1818,plain,(
% 11.15/2.16 ~spl0_75|~spl0_10|spl0_184|~spl0_112),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1817,f720,f247,f1814,f974])).
% 11.15/2.16 fof(f1827,plain,(
% 11.15/2.16 spl0_185 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(sz10,X0)|sdtlseqdt0(X0,xp)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1830,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|sdtlseqdt0(sz10,X0)|sdtlseqdt0(X0,xp)|spl0_149)),
% 11.15/2.16 inference(resolution,[status(thm)],[f1309,f519])).
% 11.15/2.16 fof(f1831,plain,(
% 11.15/2.16 ~spl0_52|~spl0_8|spl0_185|spl0_149),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1830,f588,f239,f1827,f1307])).
% 11.15/2.16 fof(f1838,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|sdtlseqdt0(X0,sz00)|~spl0_116)),
% 11.15/2.16 inference(resolution,[status(thm)],[f999,f111])).
% 11.15/2.16 fof(f1839,plain,(
% 11.15/2.16 spl0_115|~spl0_75|~spl0_116),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1838,f993,f720,f998])).
% 11.15/2.16 fof(f1842,plain,(
% 11.15/2.16 ~aNaturalNumber0(sz10)|~aNaturalNumber0(xm)|spl0_167),
% 11.15/2.16 inference(resolution,[status(thm)],[f1556,f62])).
% 11.15/2.16 fof(f1843,plain,(
% 11.15/2.16 ~spl0_52|~spl0_7|spl0_167),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1842,f588,f236,f1554])).
% 11.15/2.16 fof(f1844,plain,(
% 11.15/2.16 ~aNaturalNumber0(xn)|spl0_102),
% 11.15/2.16 inference(resolution,[status(thm)],[f921,f78])).
% 11.15/2.16 fof(f1845,plain,(
% 11.15/2.16 ~spl0_10|spl0_102),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1844,f247,f919])).
% 11.15/2.16 fof(f1847,plain,(
% 11.15/2.16 xk=sdtsldt0(sz00,xp)|~spl0_176),
% 11.15/2.16 inference(backward_demodulation,[status(thm)],[f1727,f184])).
% 11.15/2.16 fof(f1848,plain,(
% 11.15/2.16 doDivides0(xr,sz00)|~spl0_176),
% 11.15/2.16 inference(backward_demodulation,[status(thm)],[f1727,f194])).
% 11.15/2.16 fof(f1849,plain,(
% 11.15/2.16 doDivides0(xp,sz00)|~spl0_176),
% 11.15/2.16 inference(backward_demodulation,[status(thm)],[f1727,f177])).
% 11.15/2.16 fof(f1870,plain,(
% 11.15/2.16 spl0_190 <=> sdtlseqdt0(sz00,xn)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1871,plain,(
% 11.15/2.16 sdtlseqdt0(sz00,xn)|~spl0_190),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1870])).
% 11.15/2.16 fof(f1872,plain,(
% 11.15/2.16 ~sdtlseqdt0(sz00,xn)|spl0_190),
% 11.15/2.16 inference(component_clause,[status(thm)],[f1870])).
% 11.15/2.16 fof(f1888,plain,(
% 11.15/2.16 spl0_194 <=> ~aNaturalNumber0(X0)|sdtasdt0(sz00,X0)=sdtasdt0(xn,sdtasdt0(xm,X0))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1891,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|~aNaturalNumber0(X0)|sdtasdt0(sz00,X0)=sdtasdt0(xn,sdtasdt0(xm,X0))|~spl0_176)),
% 11.15/2.16 inference(paramodulation,[status(thm)],[f1727,f73])).
% 11.15/2.16 fof(f1892,plain,(
% 11.15/2.16 ~spl0_10|~spl0_7|spl0_194|~spl0_176),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1891,f247,f236,f1888,f1726])).
% 11.15/2.16 fof(f1921,plain,(
% 11.15/2.16 spl0_196 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtasdt0(sz00,xm))|sdtlseqdt0(X0,sdtasdt0(xp,xm))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f1942,plain,(
% 11.15/2.16 ~sdtlseqdt0(sz00,sz00)|~spl0_119|spl0_190),
% 11.15/2.16 inference(forward_demodulation,[status(thm)],[f1059,f1872])).
% 11.15/2.16 fof(f1953,plain,(
% 11.15/2.16 ~aNaturalNumber0(sz00)|~spl0_119|spl0_190),
% 11.15/2.16 inference(resolution,[status(thm)],[f1942,f107])).
% 11.15/2.16 fof(f1954,plain,(
% 11.15/2.16 ~spl0_75|~spl0_119|spl0_190),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1953,f720,f1058,f1870])).
% 11.15/2.16 fof(f1955,plain,(
% 11.15/2.16 sdtlseqdt0(sz00,sz00)|~spl0_119|~spl0_190),
% 11.15/2.16 inference(forward_demodulation,[status(thm)],[f1059,f1871])).
% 11.15/2.16 fof(f1970,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|sdtlseqdt0(X0,xp)|spl0_98)),
% 11.15/2.16 inference(resolution,[status(thm)],[f882,f519])).
% 11.15/2.16 fof(f1971,plain,(
% 11.15/2.16 ~spl0_75|~spl0_8|spl0_94|spl0_98),
% 11.15/2.16 inference(split_clause,[status(thm)],[f1970,f720,f239,f856,f880])).
% 11.15/2.16 fof(f1976,plain,(
% 11.15/2.16 ~sdtasdt0(xp,sz00)=sdtasdt0(xp,xk)|~spl0_35|spl0_2),
% 11.15/2.16 inference(forward_demodulation,[status(thm)],[f399,f206])).
% 11.15/2.16 fof(f1977,plain,(
% 11.15/2.16 ~sz00=sdtasdt0(xp,xk)|~spl0_102|~spl0_0|~spl0_35|spl0_2),
% 11.15/2.16 inference(backward_demodulation,[status(thm)],[f1023,f1976])).
% 11.15/2.16 fof(f2055,plain,(
% 11.15/2.16 spl0_205 <=> sz10=sz10),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f2083,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(sk0_3(X0))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(sk0_3(X0),X1)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(X0)|X0=sz00|X0=sz10)),
% 11.15/2.16 inference(resolution,[status(thm)],[f464,f1725])).
% 11.15/2.16 fof(f2084,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(sk0_3(X0))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(sk0_3(X0),X1)|sdtlseqdt0(X1,X0)|X0=sz00|X0=sz10)),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f2083])).
% 11.15/2.16 fof(f2085,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(sk0_3(X0),X1)|sdtlseqdt0(X1,X0)|X0=sz00|X0=sz10)),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f2084,f168])).
% 11.15/2.16 fof(f2090,plain,(
% 11.15/2.16 spl0_209 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(sdtasdt0(xn,xm),X0)|sdtlseqdt0(X0,sdtasdt0(xp,xm))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f2093,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(sdtasdt0(xp,xm))|~aNaturalNumber0(X0)|sdtlseqdt0(sdtasdt0(xn,xm),X0)|sdtlseqdt0(X0,sdtasdt0(xp,xm))|~spl0_1)),
% 11.15/2.16 inference(resolution,[status(thm)],[f464,f202])).
% 11.15/2.16 fof(f2094,plain,(
% 11.15/2.16 ~spl0_13|~spl0_5|spl0_209|~spl0_1),
% 11.15/2.16 inference(split_clause,[status(thm)],[f2093,f268,f228,f2090,f201])).
% 11.15/2.16 fof(f2109,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(X0,X1))|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X2,sdtpldt0(X0,X1))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1))),
% 11.15/2.16 inference(resolution,[status(thm)],[f464,f1422])).
% 11.15/2.16 fof(f2110,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(X0,X1))|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X2,sdtpldt0(X0,X1))|~aNaturalNumber0(X1))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f2109])).
% 11.15/2.16 fof(f2111,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,sdtpldt0(X0,X2))|~aNaturalNumber0(X2))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f2110,f60])).
% 11.15/2.16 fof(f2131,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X0,X2))|X1=sdtpldt0(X0,X2)|iLess0(X1,sdtpldt0(X0,X2)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f2111,f133])).
% 11.15/2.16 fof(f2132,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtpldt0(X0,X2))|X1=sdtpldt0(X0,X2)|iLess0(X1,sdtpldt0(X0,X2)))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f2131])).
% 11.15/2.16 fof(f2133,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|X1=sdtpldt0(X0,X2)|iLess0(X1,sdtpldt0(X0,X2)))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f2132,f60])).
% 11.15/2.16 fof(f2140,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X3)|~sdtlseqdt0(X3,sdtasdt0(X0,X1))|sdtlseqdt0(X3,sdtasdt0(X0,X2)))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f641,f62])).
% 11.15/2.16 fof(f2143,plain,(
% 11.15/2.16 spl0_210 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|sdtlseqdt0(sz10,sdtasdt0(X0,X2))|~aNaturalNumber0(sdtasdt0(X0,X1))|sdtasdt0(X0,X1)=sz00|sdtasdt0(X0,X1)=sz10),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f2146,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(sz10)|sdtlseqdt0(sz10,sdtasdt0(X0,X2))|~aNaturalNumber0(sdtasdt0(X0,X1))|sdtasdt0(X0,X1)=sz00|sdtasdt0(X0,X1)=sz10)),
% 11.15/2.16 inference(resolution,[status(thm)],[f2140,f127])).
% 11.15/2.16 fof(f2147,plain,(
% 11.15/2.16 spl0_210|~spl0_52),
% 11.15/2.16 inference(split_clause,[status(thm)],[f2146,f2143,f588])).
% 11.15/2.16 fof(f2148,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(xm)|~aNaturalNumber0(X0)|xp=sz00|xm=X0|~sdtlseqdt0(xm,X0)|~aNaturalNumber0(sdtasdt0(xn,xm))|sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,X0))|~spl0_1)),
% 11.15/2.16 inference(resolution,[status(thm)],[f2140,f202])).
% 11.15/2.16 fof(f2149,plain,(
% 11.15/2.16 ~spl0_8|~spl0_7|spl0_62|spl0_31|~spl0_13|~spl0_1),
% 11.15/2.16 inference(split_clause,[status(thm)],[f2148,f239,f236,f644,f382,f268,f201])).
% 11.15/2.16 fof(f2174,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1))|sdtasdt0(X0,X2)=sdtasdt0(X0,X1))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f643,f62])).
% 11.15/2.16 fof(f2184,plain,(
% 11.15/2.16 spl0_211 <=> isPrime0(sdtasdt0(xn,xm))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f2186,plain,(
% 11.15/2.16 ~isPrime0(sdtasdt0(xn,xm))|spl0_211),
% 11.15/2.16 inference(component_clause,[status(thm)],[f2184])).
% 11.15/2.16 fof(f2187,plain,(
% 11.15/2.16 ~aNaturalNumber0(sdtasdt0(xn,xm))|~isPrime0(sdtasdt0(xn,xm))|~aNaturalNumber0(xp)|xp=sz10|xp=sdtasdt0(xn,xm)),
% 11.15/2.16 inference(resolution,[status(thm)],[f161,f177])).
% 11.15/2.16 fof(f2188,plain,(
% 11.15/2.16 ~spl0_13|~spl0_211|~spl0_8|spl0_150|spl0_37),
% 11.15/2.16 inference(split_clause,[status(thm)],[f2187,f268,f2184,f239,f1310,f431])).
% 11.15/2.16 fof(f2192,plain,(
% 11.15/2.16 spl0_212 <=> xr=sz10),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f2193,plain,(
% 11.15/2.16 xr=sz10|~spl0_212),
% 11.15/2.16 inference(component_clause,[status(thm)],[f2192])).
% 11.15/2.16 fof(f2195,plain,(
% 11.15/2.16 spl0_213 <=> xr=sdtasdt0(xn,xm)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f2196,plain,(
% 11.15/2.16 xr=sdtasdt0(xn,xm)|~spl0_213),
% 11.15/2.16 inference(component_clause,[status(thm)],[f2195])).
% 11.15/2.16 fof(f2198,plain,(
% 11.15/2.16 ~aNaturalNumber0(sdtasdt0(xn,xm))|~isPrime0(sdtasdt0(xn,xm))|~aNaturalNumber0(xr)|xr=sz10|xr=sdtasdt0(xn,xm)),
% 11.15/2.16 inference(resolution,[status(thm)],[f161,f194])).
% 11.15/2.16 fof(f2199,plain,(
% 11.15/2.16 ~spl0_13|~spl0_211|~spl0_19|spl0_212|spl0_213),
% 11.15/2.16 inference(split_clause,[status(thm)],[f2198,f268,f2184,f312,f2192,f2195])).
% 11.15/2.16 fof(f2205,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|isPrime0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(sk0_2(X0))|~aNaturalNumber0(X0)|X0=sz00|sdtlseqdt0(sk0_2(X0),X0))),
% 11.15/2.16 inference(resolution,[status(thm)],[f163,f153])).
% 11.15/2.16 fof(f2206,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|isPrime0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(sk0_2(X0))|sdtlseqdt0(sk0_2(X0),X0))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f2205])).
% 11.15/2.16 fof(f2207,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|isPrime0(X0)|X0=sz00|X0=sz10|sdtlseqdt0(sk0_2(X0),X0))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f2206,f162])).
% 11.15/2.16 fof(f2216,plain,(
% 11.15/2.16 spl0_215 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_1(sz00,X0))|X0=sz00|sk0_1(sz00,X0)=sz00|~aNaturalNumber0(X0)|~doDivides0(X0,sz00)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f2219,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_1(sz00,X0))|X0=sz00|sk0_1(sz00,X0)=sz00|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~doDivides0(X0,sz00))),
% 11.15/2.16 inference(resolution,[status(thm)],[f93,f138])).
% 11.15/2.16 fof(f2220,plain,(
% 11.15/2.16 spl0_215|~spl0_75),
% 11.15/2.16 inference(split_clause,[status(thm)],[f2219,f2216,f720])).
% 11.15/2.16 fof(f2224,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|isPrime0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(sk0_2(X0))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(sk0_2(X0),X1)|sdtlseqdt0(X1,X0))),
% 11.15/2.16 inference(resolution,[status(thm)],[f2207,f464])).
% 11.15/2.16 fof(f2225,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|isPrime0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(sk0_2(X0))|~aNaturalNumber0(X1)|sdtlseqdt0(sk0_2(X0),X1)|sdtlseqdt0(X1,X0))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f2224])).
% 11.15/2.16 fof(f2226,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|isPrime0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|sdtlseqdt0(sk0_2(X0),X1)|sdtlseqdt0(X1,X0))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f2225,f162])).
% 11.15/2.16 fof(f2230,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|isPrime0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~aNaturalNumber0(sk0_2(X0))|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,sk0_2(X0))|sdtlseqdt0(X1,X0))),
% 11.15/2.16 inference(resolution,[status(thm)],[f2207,f111])).
% 11.15/2.16 fof(f2231,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|isPrime0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~aNaturalNumber0(sk0_2(X0))|~sdtlseqdt0(X1,sk0_2(X0))|sdtlseqdt0(X1,X0))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f2230])).
% 11.15/2.16 fof(f2232,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|isPrime0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~sdtlseqdt0(X1,sk0_2(X0))|sdtlseqdt0(X1,X0))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f2231,f162])).
% 11.15/2.16 fof(f2236,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|doDivides0(X0,sdtasdt0(X0,X1))|~aNaturalNumber0(X1))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f217,f62])).
% 11.15/2.16 fof(f2237,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X0,X1))|~isPrime0(sdtasdt0(X0,X1))|~aNaturalNumber0(X0)|X0=sz10|X0=sdtasdt0(X0,X1))),
% 11.15/2.16 inference(resolution,[status(thm)],[f2236,f161])).
% 11.15/2.16 fof(f2238,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X0,X1))|~isPrime0(sdtasdt0(X0,X1))|X0=sz10|X0=sdtasdt0(X0,X1))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f2237])).
% 11.15/2.16 fof(f2239,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~isPrime0(sdtasdt0(X0,X1))|X0=sz10|X0=sdtasdt0(X0,X1))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f2238,f62])).
% 11.15/2.16 fof(f2240,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|sdtasdt0(X0,X1)=sz00|sdtlseqdt0(X0,sdtasdt0(X0,X1)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f2236,f153])).
% 11.15/2.16 fof(f2241,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X0,X1))|sdtasdt0(X0,X1)=sz00|sdtlseqdt0(X0,sdtasdt0(X0,X1)))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f2240])).
% 11.15/2.16 fof(f2242,plain,(
% 11.15/2.16 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtasdt0(X0,X1)=sz00|sdtlseqdt0(X0,sdtasdt0(X0,X1)))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f2241,f62])).
% 11.15/2.16 fof(f2243,plain,(
% 11.15/2.16 spl0_216 <=> doDivides0(xp,sdtasdt0(xn,xm))),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f2245,plain,(
% 11.15/2.16 ~doDivides0(xp,sdtasdt0(xn,xm))|spl0_216),
% 11.15/2.16 inference(component_clause,[status(thm)],[f2243])).
% 11.15/2.16 fof(f2246,plain,(
% 11.15/2.16 ~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))|xp=sz00|~doDivides0(xp,sdtasdt0(xn,xm))|aNaturalNumber0(xk)),
% 11.15/2.16 inference(paramodulation,[status(thm)],[f184,f218])).
% 11.15/2.16 fof(f2247,plain,(
% 11.15/2.16 ~spl0_8|~spl0_13|spl0_31|~spl0_216|spl0_12),
% 11.15/2.16 inference(split_clause,[status(thm)],[f2246,f239,f268,f382,f2243,f263])).
% 11.15/2.16 fof(f2248,plain,(
% 11.15/2.16 $false|spl0_216),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f2245,f177])).
% 11.15/2.16 fof(f2249,plain,(
% 11.15/2.16 spl0_216),
% 11.15/2.16 inference(contradiction_clause,[status(thm)],[f2248])).
% 11.15/2.16 fof(f2274,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtasdt0(X0,X1)=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|~sdtlseqdt0(X2,X0)|sdtlseqdt0(X2,sdtasdt0(X0,X1)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f2242,f111])).
% 11.15/2.16 fof(f2275,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtasdt0(X0,X1)=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtasdt0(X0,X1))|~sdtlseqdt0(X2,X0)|sdtlseqdt0(X2,sdtasdt0(X0,X1)))),
% 11.15/2.16 inference(duplicate_literals_removal,[status(esa)],[f2274])).
% 11.15/2.16 fof(f2276,plain,(
% 11.15/2.16 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtasdt0(X0,X1)=sz00|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X0)|sdtlseqdt0(X2,sdtasdt0(X0,X1)))),
% 11.15/2.16 inference(forward_subsumption_resolution,[status(thm)],[f2275,f62])).
% 11.15/2.16 fof(f2280,plain,(
% 11.15/2.16 spl0_217 <=> ~aNaturalNumber0(X0)|X0=sz00|~doDivides0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtsldt0(sz00,X0))|X0=sz00|sdtsldt0(sz00,X0)=sz00),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f2283,plain,(
% 11.15/2.16 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|X0=sz00|~doDivides0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtsldt0(sz00,X0))|X0=sz00|sdtsldt0(sz00,X0)=sz00)),
% 11.15/2.16 inference(resolution,[status(thm)],[f219,f93])).
% 11.15/2.16 fof(f2284,plain,(
% 11.15/2.16 spl0_217|~spl0_75),
% 11.15/2.16 inference(split_clause,[status(thm)],[f2283,f2280,f720])).
% 11.15/2.16 fof(f2285,plain,(
% 11.15/2.16 spl0_218 <=> sdtasdt0(xn,xm)=sdtasdt0(xp,xk)),
% 11.15/2.16 introduced(split_symbol_definition)).
% 11.15/2.16 fof(f2288,plain,(
% 11.15/2.16 ~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))|xp=sz00|~doDivides0(xp,sdtasdt0(xn,xm))|sdtasdt0(xn,xm)=sdtasdt0(xp,xk)),
% 11.15/2.16 inference(paramodulation,[status(thm)],[f184,f219])).
% 11.15/2.16 fof(f2289,plain,(
% 11.15/2.16 ~spl0_8|~spl0_13|spl0_31|~spl0_216|spl0_218),
% 11.15/2.16 inference(split_clause,[status(thm)],[f2288,f239,f268,f382,f2243,f2285])).
% 11.15/2.16 fof(f2297,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(sdtpldt0(X0,X2))|~aNaturalNumber0(sdtpldt0(X1,X2))|~sdtlseqdt0(X3,sdtpldt0(X0,X2))|sdtlseqdt0(X3,sdtpldt0(X1,X2)))),
% 11.15/2.16 inference(resolution,[status(thm)],[f119,f111])).
% 11.15/2.16 fof(f2298,plain,(
% 11.15/2.16 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(sdtpldt0(X1,X2))|~sdtlseqdt0(X3,sdtpldt0(X0,X2))|sdtlseqdt0(X3,sdtpldt0(X1,X2)))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f2297,f60])).
% 11.15/2.17 fof(f2301,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|~doDivides0(X0,sdtasdt0(X0,X1))|X1=sdtsldt0(sdtasdt0(X0,X1),X0)|~aNaturalNumber0(X1))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f220,f62])).
% 11.15/2.17 fof(f2302,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|sdtlseqdt0(X0,sz00)|~spl0_116)),
% 11.15/2.17 inference(resolution,[status(thm)],[f999,f464])).
% 11.15/2.17 fof(f2303,plain,(
% 11.15/2.17 ~spl0_75|spl0_114|~spl0_116),
% 11.15/2.17 inference(split_clause,[status(thm)],[f2302,f720,f988,f998])).
% 11.15/2.17 fof(f2448,plain,(
% 11.15/2.17 spl0_234 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|sdtlseqdt0(sz10,X0)|~aNaturalNumber0(sk0_3(X0))|sk0_3(X0)=sz00|sk0_3(X0)=sz10),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f2451,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(sz10)|sdtlseqdt0(sz10,X0)|~aNaturalNumber0(sk0_3(X0))|sk0_3(X0)=sz00|sk0_3(X0)=sz10)),
% 11.15/2.17 inference(resolution,[status(thm)],[f1743,f127])).
% 11.15/2.17 fof(f2452,plain,(
% 11.15/2.17 spl0_234|~spl0_52),
% 11.15/2.17 inference(split_clause,[status(thm)],[f2451,f2448,f588])).
% 11.15/2.17 fof(f2455,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(sk0_3(X0))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(sk0_3(X0),X2)|sdtlseqdt0(X2,X1))),
% 11.15/2.17 inference(resolution,[status(thm)],[f1743,f519])).
% 11.15/2.17 fof(f2456,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(sk0_3(X0))|~aNaturalNumber0(X2)|sdtlseqdt0(sk0_3(X0),X2)|sdtlseqdt0(X2,X1))),
% 11.15/2.17 inference(duplicate_literals_removal,[status(esa)],[f2455])).
% 11.15/2.17 fof(f2457,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(X2)|sdtlseqdt0(sk0_3(X0),X2)|sdtlseqdt0(X2,X1))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f2456,f168])).
% 11.15/2.17 fof(f2480,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X1,X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X2)|~aNaturalNumber0(sk0_3(X0))|~aNaturalNumber0(X1)|~sdtlseqdt0(X2,sk0_3(X0))|sdtlseqdt0(X2,X1))),
% 11.15/2.17 inference(resolution,[status(thm)],[f2085,f111])).
% 11.15/2.17 fof(f2481,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X1,X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X2)|~aNaturalNumber0(sk0_3(X0))|~sdtlseqdt0(X2,sk0_3(X0))|sdtlseqdt0(X2,X1))),
% 11.15/2.17 inference(duplicate_literals_removal,[status(esa)],[f2480])).
% 11.15/2.17 fof(f2482,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X1,X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,sk0_3(X0))|sdtlseqdt0(X2,X1))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f2481,f168])).
% 11.15/2.17 fof(f2487,plain,(
% 11.15/2.17 spl0_235 <=> isPrime0(sz10)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f2488,plain,(
% 11.15/2.17 isPrime0(sz10)|~spl0_235),
% 11.15/2.17 inference(component_clause,[status(thm)],[f2487])).
% 11.15/2.17 fof(f2509,plain,(
% 11.15/2.17 ~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xp,xm))|sdtlseqdt0(xp,sdtasdt0(xp,xm))|~aNaturalNumber0(xk)|xk=sz00|spl0_3),
% 11.15/2.17 inference(resolution,[status(thm)],[f517,f209])).
% 11.15/2.17 fof(f2510,plain,(
% 11.15/2.17 ~spl0_8|~spl0_5|spl0_148|~spl0_12|spl0_33|spl0_3),
% 11.15/2.17 inference(split_clause,[status(thm)],[f2509,f239,f228,f1296,f263,f390,f207])).
% 11.15/2.17 fof(f2532,plain,(
% 11.15/2.17 ![X0,X1,X2]: (sdtasdt0(X0,X1)=sdtasdt0(X0,X2)|iLess0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f762,f62])).
% 11.15/2.17 fof(f2560,plain,(
% 11.15/2.17 spl0_239 <=> ~aNaturalNumber0(X0)|~doDivides0(X0,xp)|doDivides0(X0,sdtasdt0(xn,xm))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f2563,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))|~doDivides0(X0,xp)|doDivides0(X0,sdtasdt0(xn,xm)))),
% 11.15/2.17 inference(resolution,[status(thm)],[f147,f177])).
% 11.15/2.17 fof(f2564,plain,(
% 11.15/2.17 spl0_239|~spl0_8|~spl0_13),
% 11.15/2.17 inference(split_clause,[status(thm)],[f2563,f2560,f239,f268])).
% 11.15/2.17 fof(f2571,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))|~doDivides0(X0,X1)|doDivides0(X0,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))),
% 11.15/2.17 inference(resolution,[status(thm)],[f147,f2236])).
% 11.15/2.17 fof(f2572,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))|~doDivides0(X0,X1)|doDivides0(X0,sdtasdt0(X1,X2))|~aNaturalNumber0(X2))),
% 11.15/2.17 inference(duplicate_literals_removal,[status(esa)],[f2571])).
% 11.15/2.17 fof(f2573,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~doDivides0(X0,X1)|doDivides0(X0,sdtasdt0(X1,X2))|~aNaturalNumber0(X2))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f2572,f62])).
% 11.15/2.17 fof(f2574,plain,(
% 11.15/2.17 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~doDivides0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X1,X2))|~doDivides0(X3,X0)|doDivides0(X3,sdtasdt0(X1,X2)))),
% 11.15/2.17 inference(resolution,[status(thm)],[f2573,f147])).
% 11.15/2.17 fof(f2575,plain,(
% 11.15/2.17 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~doDivides0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(sdtasdt0(X1,X2))|~doDivides0(X3,X0)|doDivides0(X3,sdtasdt0(X1,X2)))),
% 11.15/2.17 inference(duplicate_literals_removal,[status(esa)],[f2574])).
% 11.15/2.17 fof(f2576,plain,(
% 11.15/2.17 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~doDivides0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~doDivides0(X3,X0)|doDivides0(X3,sdtasdt0(X1,X2)))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f2575,f62])).
% 11.15/2.17 fof(f2577,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~doDivides0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|~isPrime0(sdtasdt0(X1,X2))|~aNaturalNumber0(X0)|X0=sz10|X0=sdtasdt0(X1,X2))),
% 11.15/2.17 inference(resolution,[status(thm)],[f2573,f161])).
% 11.15/2.17 fof(f2578,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~doDivides0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|~isPrime0(sdtasdt0(X1,X2))|X0=sz10|X0=sdtasdt0(X1,X2))),
% 11.15/2.17 inference(duplicate_literals_removal,[status(esa)],[f2577])).
% 11.15/2.17 fof(f2579,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~doDivides0(X0,X1)|~aNaturalNumber0(X2)|~isPrime0(sdtasdt0(X1,X2))|X0=sz10|X0=sdtasdt0(X1,X2))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f2578,f62])).
% 11.15/2.17 fof(f2589,plain,(
% 11.15/2.17 ![X0,X1,X2]: (iLess0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2))),
% 11.15/2.17 inference(backward_subsumption_resolution,[status(thm)],[f2532,f87])).
% 11.15/2.17 fof(f2590,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X0,X1)))),
% 11.15/2.17 inference(backward_subsumption_resolution,[status(thm)],[f2174,f87])).
% 11.15/2.17 fof(f2595,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(sk0_1(sdtasdt0(X0,X1),X0))|X1=sk0_1(sdtasdt0(X0,X1),X0)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|~doDivides0(X0,sdtasdt0(X0,X1)))),
% 11.15/2.17 inference(resolution,[status(thm)],[f87,f138])).
% 11.15/2.17 fof(f2596,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(sk0_1(sdtasdt0(X0,X1),X0))|X1=sk0_1(sdtasdt0(X0,X1),X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|~doDivides0(X0,sdtasdt0(X0,X1)))),
% 11.15/2.17 inference(duplicate_literals_removal,[status(esa)],[f2595])).
% 11.15/2.17 fof(f2597,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|X1=sk0_1(sdtasdt0(X0,X1),X0)|~aNaturalNumber0(sdtasdt0(X0,X1))|~doDivides0(X0,sdtasdt0(X0,X1)))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f2596,f137])).
% 11.15/2.17 fof(f2711,plain,(
% 11.15/2.17 sdtlseqdt0(xp,xm)|~spl0_23|~spl0_143),
% 11.15/2.17 inference(backward_demodulation,[status(thm)],[f327,f1244])).
% 11.15/2.17 fof(f2712,plain,(
% 11.15/2.17 $false|~spl0_23|~spl0_143),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f2711,f179])).
% 11.15/2.17 fof(f2713,plain,(
% 11.15/2.17 ~spl0_23|~spl0_143),
% 11.15/2.17 inference(contradiction_clause,[status(thm)],[f2712])).
% 11.15/2.17 fof(f2773,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))|sdtasdt0(X0,X1)=sdtasdt0(X0,X2)|~aNaturalNumber0(X0)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|X0=sz00|X2=X1|~sdtlseqdt0(X2,X1))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f1331,f62])).
% 11.15/2.17 fof(f2887,plain,(
% 11.15/2.17 spl0_253 <=> ~aNaturalNumber0(X0)|isPrime0(X0)|X0=sz00|X0=sz10|sdtlseqdt0(sz10,X0)|~aNaturalNumber0(sk0_2(X0))|sk0_2(X0)=sz00|sk0_2(X0)=sz10),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f2890,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|isPrime0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(sz10)|sdtlseqdt0(sz10,X0)|~aNaturalNumber0(sk0_2(X0))|sk0_2(X0)=sz00|sk0_2(X0)=sz10)),
% 11.15/2.17 inference(resolution,[status(thm)],[f2232,f127])).
% 11.15/2.17 fof(f2891,plain,(
% 11.15/2.17 spl0_253|~spl0_52),
% 11.15/2.17 inference(split_clause,[status(thm)],[f2890,f2887,f588])).
% 11.15/2.17 fof(f2906,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))|sdtasdt0(X0,X1)=sdtasdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X0)|X1=sz00|X2=X0|~sdtlseqdt0(X2,X0))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f1333,f62])).
% 11.15/2.17 fof(f2925,plain,(
% 11.15/2.17 isPrime0(sz10)|~spl0_212),
% 11.15/2.17 inference(forward_demodulation,[status(thm)],[f2193,f192])).
% 11.15/2.17 fof(f2926,plain,(
% 11.15/2.17 $false|~spl0_212),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f2925,f224])).
% 11.15/2.17 fof(f2927,plain,(
% 11.15/2.17 ~spl0_212),
% 11.15/2.17 inference(contradiction_clause,[status(thm)],[f2926])).
% 11.15/2.17 fof(f2928,plain,(
% 11.15/2.17 spl0_254 <=> ~aNaturalNumber0(X0)|~doDivides0(X0,xr)|doDivides0(X0,xk)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f2931,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xr)|~aNaturalNumber0(xk)|~doDivides0(X0,xr)|doDivides0(X0,xk))),
% 11.15/2.17 inference(resolution,[status(thm)],[f191,f147])).
% 11.15/2.17 fof(f2932,plain,(
% 11.15/2.17 spl0_254|~spl0_19|~spl0_12),
% 11.15/2.17 inference(split_clause,[status(thm)],[f2931,f2928,f312,f263])).
% 11.15/2.17 fof(f2945,plain,(
% 11.15/2.17 spl0_255 <=> ~aNaturalNumber0(X0)|~doDivides0(X0,xr)|doDivides0(X0,sdtasdt0(xn,xm))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f2948,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtasdt0(xn,xm))|~doDivides0(X0,xr)|doDivides0(X0,sdtasdt0(xn,xm)))),
% 11.15/2.17 inference(resolution,[status(thm)],[f194,f147])).
% 11.15/2.17 fof(f2949,plain,(
% 11.15/2.17 spl0_255|~spl0_19|~spl0_13),
% 11.15/2.17 inference(split_clause,[status(thm)],[f2948,f2945,f312,f268])).
% 11.15/2.17 fof(f2964,plain,(
% 11.15/2.17 spl0_256 <=> sdtasdt0(xp,xk)=sz00),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f2965,plain,(
% 11.15/2.17 sdtasdt0(xp,xk)=sz00|~spl0_256),
% 11.15/2.17 inference(component_clause,[status(thm)],[f2964])).
% 11.15/2.17 fof(f2998,plain,(
% 11.15/2.17 spl0_257 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~isPrime0(X2)|~doDivides0(X2,sdtasdt0(X0,X1))|doDivides0(X2,X0)|doDivides0(X2,X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),X2))|sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(X0,X1),X2))|sdtpldt0(sdtpldt0(X0,X1),X2)=sdtpldt0(sdtpldt0(xn,xm),xp)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3001,plain,(
% 11.15/2.17 spl0_258 <=> aNaturalNumber0(sdtpldt0(xn,xm))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3003,plain,(
% 11.15/2.17 ~aNaturalNumber0(sdtpldt0(xn,xm))|spl0_258),
% 11.15/2.17 inference(component_clause,[status(thm)],[f3001])).
% 11.15/2.17 fof(f3004,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~isPrime0(X2)|~doDivides0(X2,sdtasdt0(X0,X1))|doDivides0(X2,X0)|doDivides0(X2,X1)|~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),X2))|sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(X0,X1),X2))|~aNaturalNumber0(xp)|sdtpldt0(sdtpldt0(X0,X1),X2)=sdtpldt0(sdtpldt0(xn,xm),xp))),
% 11.15/2.17 inference(resolution,[status(thm)],[f175,f2133])).
% 11.15/2.17 fof(f3005,plain,(
% 11.15/2.17 spl0_257|~spl0_258|~spl0_8),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3004,f2998,f3001,f239])).
% 11.15/2.17 fof(f3006,plain,(
% 11.15/2.17 spl0_259 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~isPrime0(X2)|~doDivides0(X2,sdtasdt0(X0,X1))|doDivides0(X2,X0)|doDivides0(X2,X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),X2))|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xn,xm))|sdtpldt0(sdtpldt0(X0,X1),X2)=sdtpldt0(sdtpldt0(xn,xm),xp)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3009,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~isPrime0(X2)|~doDivides0(X2,sdtasdt0(X0,X1))|doDivides0(X2,X0)|doDivides0(X2,X1)|~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),X2))|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(xn,xm))|sdtpldt0(sdtpldt0(X0,X1),X2)=sdtpldt0(sdtpldt0(xn,xm),xp))),
% 11.15/2.17 inference(resolution,[status(thm)],[f175,f1614])).
% 11.15/2.17 fof(f3010,plain,(
% 11.15/2.17 spl0_259|~spl0_258|~spl0_8),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3009,f3006,f3001,f239])).
% 11.15/2.17 fof(f3024,plain,(
% 11.15/2.17 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtasdt0(X1,X2))|sdtlseqdt0(X0,sdtasdt0(X3,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|X2=sz00|X1=X3|~sdtlseqdt0(X1,X3))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f1354,f62])).
% 11.15/2.17 fof(f3033,plain,(
% 11.15/2.17 spl0_263 <=> sdtlseqdt0(sz10,sdtasdt0(X0,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X0)|X1=sz00|X2=X0|~sdtlseqdt0(X2,X0)|~aNaturalNumber0(sdtasdt0(X2,X1))|sdtasdt0(X2,X1)=sz00|sdtasdt0(X2,X1)=sz10),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3036,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(sz10)|sdtlseqdt0(sz10,sdtasdt0(X0,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X0)|X1=sz00|X2=X0|~sdtlseqdt0(X2,X0)|~aNaturalNumber0(sdtasdt0(X2,X1))|sdtasdt0(X2,X1)=sz00|sdtasdt0(X2,X1)=sz10)),
% 11.15/2.17 inference(resolution,[status(thm)],[f3024,f127])).
% 11.15/2.17 fof(f3037,plain,(
% 11.15/2.17 ~spl0_52|spl0_263),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3036,f588,f3033])).
% 11.15/2.17 fof(f3075,plain,(
% 11.15/2.17 ![X0,X1,X2]: (sdtasdt0(X0,X1)=sdtasdt0(X0,X2)|iLess0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f1385,f62])).
% 11.15/2.17 fof(f3094,plain,(
% 11.15/2.17 spl0_265 <=> sdtasdt0(xn,X0)=sdtasdt0(xn,sz00)|iLess0(sdtasdt0(xn,X0),sz00)|~aNaturalNumber0(X0)|X0=sz00|~sdtlseqdt0(X0,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3097,plain,(
% 11.15/2.17 ![X0]: (sdtasdt0(xn,X0)=sdtasdt0(xn,sz00)|iLess0(sdtasdt0(xn,X0),sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|xn=sz00|X0=sz00|~sdtlseqdt0(X0,sz00)|~spl0_102)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f3075])).
% 11.15/2.17 fof(f3098,plain,(
% 11.15/2.17 spl0_265|~spl0_10|~spl0_75|spl0_119|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3097,f3094,f247,f720,f1058,f919])).
% 11.15/2.17 fof(f3099,plain,(
% 11.15/2.17 spl0_266 <=> sdtasdt0(xn,sz00)=sdtasdt0(xn,X0)|iLess0(sz00,sdtasdt0(xn,X0))|~aNaturalNumber0(X0)|sz00=X0|~sdtlseqdt0(sz00,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3102,plain,(
% 11.15/2.17 ![X0]: (sdtasdt0(xn,sz00)=sdtasdt0(xn,X0)|iLess0(sz00,sdtasdt0(xn,X0))|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|xn=sz00|sz00=X0|~sdtlseqdt0(sz00,X0)|~spl0_102)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f3075])).
% 11.15/2.17 fof(f3103,plain,(
% 11.15/2.17 spl0_266|~spl0_10|~spl0_75|spl0_119|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3102,f3099,f247,f720,f1058,f919])).
% 11.15/2.17 fof(f3132,plain,(
% 11.15/2.17 spl0_271 <=> sdtasdt0(xn,sz00)=xn),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3137,plain,(
% 11.15/2.17 spl0_272 <=> ~sdtlseqdt0(sdtasdt0(xn,X0),sz00)|sdtasdt0(xn,X0)=sdtasdt0(xn,sz00)|~aNaturalNumber0(X0)|sz00=X0|~sdtlseqdt0(sz00,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3140,plain,(
% 11.15/2.17 ![X0]: (~sdtlseqdt0(sdtasdt0(xn,X0),sz00)|sdtasdt0(xn,X0)=sdtasdt0(xn,sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|xn=sz00|sz00=X0|~sdtlseqdt0(sz00,X0)|~spl0_102)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f2773])).
% 11.15/2.17 fof(f3141,plain,(
% 11.15/2.17 spl0_272|~spl0_10|~spl0_75|spl0_119|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3140,f3137,f247,f720,f1058,f919])).
% 11.15/2.17 fof(f3142,plain,(
% 11.15/2.17 spl0_273 <=> ~sdtlseqdt0(sz00,sdtasdt0(xn,X0))|sdtasdt0(xn,sz00)=sdtasdt0(xn,X0)|~aNaturalNumber0(X0)|X0=sz00|~sdtlseqdt0(X0,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3145,plain,(
% 11.15/2.17 ![X0]: (~sdtlseqdt0(sz00,sdtasdt0(xn,X0))|sdtasdt0(xn,sz00)=sdtasdt0(xn,X0)|~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|xn=sz00|X0=sz00|~sdtlseqdt0(X0,sz00)|~spl0_102)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f2773])).
% 11.15/2.17 fof(f3146,plain,(
% 11.15/2.17 spl0_273|~spl0_10|~spl0_75|spl0_119|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3145,f3142,f247,f720,f1058,f919])).
% 11.15/2.17 fof(f3149,plain,(
% 11.15/2.17 spl0_274 <=> ~aNaturalNumber0(X0)|X0=sz00|~doDivides0(X0,sz00)|sdtasdt0(xn,sdtsldt0(sz00,X0))=sdtsldt0(sz00,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3152,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|X0=sz00|~doDivides0(X0,sz00)|~aNaturalNumber0(xn)|sdtasdt0(xn,sdtsldt0(sz00,X0))=sdtsldt0(sz00,X0)|~spl0_102)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f155])).
% 11.15/2.17 fof(f3153,plain,(
% 11.15/2.17 spl0_274|~spl0_75|~spl0_10|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3152,f3149,f720,f247,f919])).
% 11.15/2.17 fof(f3154,plain,(
% 11.15/2.17 spl0_275 <=> ~aNaturalNumber0(X0)|~sdtasdt0(xn,X0)=sz00|X0=sz00),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3157,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xn)|xn=sz00|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtasdt0(xn,X0)=sz00|X0=sz00|~spl0_102)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f87])).
% 11.15/2.17 fof(f3158,plain,(
% 11.15/2.17 ~spl0_10|spl0_119|spl0_275|~spl0_75|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3157,f247,f1058,f3154,f720,f919])).
% 11.15/2.17 fof(f3168,plain,(
% 11.15/2.17 spl0_277 <=> ~aNaturalNumber0(X0)|~doDivides0(X0,xn)|doDivides0(X0,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3171,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|~doDivides0(X0,xn)|doDivides0(X0,sz00)|~aNaturalNumber0(sz00)|~spl0_102)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f2573])).
% 11.15/2.17 fof(f3172,plain,(
% 11.15/2.17 spl0_277|~spl0_10|~spl0_75|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3171,f3168,f247,f720,f919])).
% 11.15/2.17 fof(f3180,plain,(
% 11.15/2.17 spl0_279 <=> doDivides0(xn,sdtasdt0(xn,sz00))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3182,plain,(
% 11.15/2.17 ~doDivides0(xn,sdtasdt0(xn,sz00))|spl0_279),
% 11.15/2.17 inference(component_clause,[status(thm)],[f3180])).
% 11.15/2.17 fof(f3183,plain,(
% 11.15/2.17 spl0_280 <=> sz00=sdtsldt0(sz00,xn)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3188,plain,(
% 11.15/2.17 spl0_281 <=> isPrime0(sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3191,plain,(
% 11.15/2.17 ~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~isPrime0(sz00)|xn=sz10|xn=sdtasdt0(xn,sz00)|~spl0_102),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f2239])).
% 11.15/2.17 fof(f3192,plain,(
% 11.15/2.17 ~spl0_10|~spl0_75|~spl0_281|spl0_123|spl0_271|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3191,f247,f720,f3188,f1090,f3132,f919])).
% 11.15/2.17 fof(f3195,plain,(
% 11.15/2.17 spl0_282 <=> doDivides0(xn,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3196,plain,(
% 11.15/2.17 doDivides0(xn,sz00)|~spl0_282),
% 11.15/2.17 inference(component_clause,[status(thm)],[f3195])).
% 11.15/2.17 fof(f3198,plain,(
% 11.15/2.17 ~aNaturalNumber0(xn)|doDivides0(xn,sz00)|~aNaturalNumber0(sz00)|~spl0_102),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f2236])).
% 11.15/2.17 fof(f3199,plain,(
% 11.15/2.17 ~spl0_10|spl0_282|~spl0_75|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3198,f247,f3195,f720,f919])).
% 11.15/2.17 fof(f3202,plain,(
% 11.15/2.17 spl0_283 <=> ~aNaturalNumber0(X0)|sz00=X0|~sdtlseqdt0(sz00,X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X1,sz00)|sdtlseqdt0(X1,sdtasdt0(xn,X0))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3205,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|xn=sz00|sz00=X0|~sdtlseqdt0(sz00,X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X1,sz00)|sdtlseqdt0(X1,sdtasdt0(xn,X0))|~spl0_102)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f2140])).
% 11.15/2.17 fof(f3206,plain,(
% 11.15/2.17 ~spl0_10|~spl0_75|spl0_283|spl0_119|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3205,f247,f720,f3202,f1058,f919])).
% 11.15/2.17 fof(f3217,plain,(
% 11.15/2.17 spl0_286 <=> ~aNaturalNumber0(X0)|X0=sz00|~sdtlseqdt0(X0,sz00)|sdtlseqdt0(sdtasdt0(xn,X0),sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3220,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|xn=sz00|X0=sz00|~sdtlseqdt0(X0,sz00)|sdtlseqdt0(sdtasdt0(xn,X0),sz00)|~spl0_102)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f122])).
% 11.15/2.17 fof(f3221,plain,(
% 11.15/2.17 ~spl0_10|spl0_286|~spl0_75|spl0_119|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3220,f247,f3217,f720,f1058,f919])).
% 11.15/2.17 fof(f3222,plain,(
% 11.15/2.17 spl0_287 <=> ~aNaturalNumber0(X0)|sz00=X0|~sdtlseqdt0(sz00,X0)|sdtlseqdt0(sz00,sdtasdt0(xn,X0))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3225,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|xn=sz00|sz00=X0|~sdtlseqdt0(sz00,X0)|sdtlseqdt0(sz00,sdtasdt0(xn,X0))|~spl0_102)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f122])).
% 11.15/2.17 fof(f3226,plain,(
% 11.15/2.17 ~spl0_10|~spl0_75|spl0_287|spl0_119|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3225,f247,f720,f3222,f1058,f919])).
% 11.15/2.17 fof(f3241,plain,(
% 11.15/2.17 ~doDivides0(xn,sz00)|~spl0_102|spl0_279),
% 11.15/2.17 inference(forward_demodulation,[status(thm)],[f920,f3182])).
% 11.15/2.17 fof(f3258,plain,(
% 11.15/2.17 $false|~spl0_102|spl0_279|~spl0_282),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f3196,f3241])).
% 11.15/2.17 fof(f3259,plain,(
% 11.15/2.17 ~spl0_102|spl0_279|~spl0_282),
% 11.15/2.17 inference(contradiction_clause,[status(thm)],[f3258])).
% 11.15/2.17 fof(f3281,plain,(
% 11.15/2.17 spl0_290 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|sdtlseqdt0(X0,sdtasdt0(X1,xn))|~aNaturalNumber0(X1)|sz00=X1|~sdtlseqdt0(sz00,X1)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3284,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|sdtlseqdt0(X0,sdtasdt0(X1,xn))|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|xn=sz00|sz00=X1|~sdtlseqdt0(sz00,X1)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f3024])).
% 11.15/2.17 fof(f3285,plain,(
% 11.15/2.17 spl0_290|~spl0_10|~spl0_75|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3284,f3281,f247,f720,f1058,f974])).
% 11.15/2.17 fof(f3288,plain,(
% 11.15/2.17 spl0_291 <=> ~aNaturalNumber0(X0)|sdtasdt0(sz00,sdtpldt0(X0,xn))=sdtpldt0(sdtasdt0(sz00,X0),sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3291,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|sdtasdt0(sz00,sdtpldt0(X0,xn))=sdtpldt0(sdtasdt0(sz00,X0),sz00)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f81])).
% 11.15/2.17 fof(f3292,plain,(
% 11.15/2.17 ~spl0_75|spl0_291|~spl0_10|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3291,f720,f3288,f247,f974])).
% 11.15/2.17 fof(f3293,plain,(
% 11.15/2.17 spl0_292 <=> ~aNaturalNumber0(X0)|sdtasdt0(sz00,sdtpldt0(xn,X0))=sdtpldt0(sz00,sdtasdt0(sz00,X0))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3296,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|sdtasdt0(sz00,sdtpldt0(xn,X0))=sdtpldt0(sz00,sdtasdt0(sz00,X0))|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f81])).
% 11.15/2.17 fof(f3297,plain,(
% 11.15/2.17 ~spl0_75|~spl0_10|spl0_292|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3296,f720,f247,f3293,f974])).
% 11.15/2.17 fof(f3298,plain,(
% 11.15/2.17 spl0_293 <=> ~aNaturalNumber0(X0)|sdtasdt0(sdtpldt0(X0,sz00),xn)=sdtpldt0(sdtasdt0(X0,xn),sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3301,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|sdtasdt0(sdtpldt0(X0,sz00),xn)=sdtpldt0(sdtasdt0(X0,xn),sz00)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f82])).
% 11.15/2.17 fof(f3302,plain,(
% 11.15/2.17 ~spl0_10|spl0_293|~spl0_75|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3301,f247,f3298,f720,f974])).
% 11.15/2.17 fof(f3303,plain,(
% 11.15/2.17 spl0_294 <=> ~aNaturalNumber0(X0)|sdtasdt0(sdtpldt0(sz00,X0),xn)=sdtpldt0(sz00,sdtasdt0(X0,xn))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3306,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|sdtasdt0(sdtpldt0(sz00,X0),xn)=sdtpldt0(sz00,sdtasdt0(X0,xn))|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f82])).
% 11.15/2.17 fof(f3307,plain,(
% 11.15/2.17 ~spl0_10|~spl0_75|spl0_294|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3306,f247,f720,f3303,f974])).
% 11.15/2.17 fof(f3308,plain,(
% 11.15/2.17 spl0_295 <=> ~sdtlseqdt0(sdtasdt0(X0,xn),sz00)|sdtasdt0(X0,xn)=sdtasdt0(sz00,xn)|~aNaturalNumber0(X0)|sz00=X0|~sdtlseqdt0(sz00,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3311,plain,(
% 11.15/2.17 ![X0]: (~sdtlseqdt0(sdtasdt0(X0,xn),sz00)|sdtasdt0(X0,xn)=sdtasdt0(sz00,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|xn=sz00|sz00=X0|~sdtlseqdt0(sz00,X0)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f2906])).
% 11.15/2.17 fof(f3312,plain,(
% 11.15/2.17 spl0_295|~spl0_10|~spl0_75|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3311,f3308,f247,f720,f1058,f974])).
% 11.15/2.17 fof(f3313,plain,(
% 11.15/2.17 spl0_296 <=> ~sdtlseqdt0(sz00,sdtasdt0(X0,xn))|sdtasdt0(sz00,xn)=sdtasdt0(X0,xn)|~aNaturalNumber0(X0)|X0=sz00|~sdtlseqdt0(X0,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3316,plain,(
% 11.15/2.17 ![X0]: (~sdtlseqdt0(sz00,sdtasdt0(X0,xn))|sdtasdt0(sz00,xn)=sdtasdt0(X0,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|xn=sz00|X0=sz00|~sdtlseqdt0(X0,sz00)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f2906])).
% 11.15/2.17 fof(f3317,plain,(
% 11.15/2.17 spl0_296|~spl0_10|~spl0_75|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3316,f3313,f247,f720,f1058,f974])).
% 11.15/2.17 fof(f3332,plain,(
% 11.15/2.17 spl0_299 <=> ~aNaturalNumber0(X0)|X0=sz00|~doDivides0(X0,xn)|sdtasdt0(sz00,sdtsldt0(xn,X0))=sdtsldt0(sz00,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3335,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|X0=sz00|~doDivides0(X0,xn)|~aNaturalNumber0(sz00)|sdtasdt0(sz00,sdtsldt0(xn,X0))=sdtsldt0(sz00,X0)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f155])).
% 11.15/2.17 fof(f3336,plain,(
% 11.15/2.17 spl0_299|~spl0_10|~spl0_75|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3335,f3332,f247,f720,f974])).
% 11.15/2.17 fof(f3344,plain,(
% 11.15/2.17 spl0_301 <=> ~aNaturalNumber0(X0)|~sdtasdt0(X0,xn)=sz00|X0=sz00),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3347,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xn)|xn=sz00|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtasdt0(X0,xn)=sz00|X0=sz00|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f88])).
% 11.15/2.17 fof(f3348,plain,(
% 11.15/2.17 ~spl0_10|spl0_119|spl0_301|~spl0_75|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3347,f247,f1058,f3344,f720,f974])).
% 11.15/2.17 fof(f3351,plain,(
% 11.15/2.17 spl0_302 <=> ~aNaturalNumber0(X0)|~doDivides0(X0,sz00)|doDivides0(X0,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3354,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~doDivides0(X0,sz00)|doDivides0(X0,sz00)|~aNaturalNumber0(xn)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f2573])).
% 11.15/2.17 fof(f3355,plain,(
% 11.15/2.17 spl0_302|~spl0_75|~spl0_10|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3354,f3351,f720,f247,f974])).
% 11.15/2.17 fof(f3372,plain,(
% 11.15/2.17 spl0_305 <=> doDivides0(sz00,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3375,plain,(
% 11.15/2.17 ~aNaturalNumber0(sz00)|doDivides0(sz00,sz00)|~aNaturalNumber0(xn)|~spl0_112),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f2236])).
% 11.15/2.17 fof(f3376,plain,(
% 11.15/2.17 ~spl0_75|spl0_305|~spl0_10|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3375,f720,f3372,f247,f974])).
% 11.15/2.17 fof(f3404,plain,(
% 11.15/2.17 spl0_307 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(sk0_2(X1))|sdtlseqdt0(sk0_2(X1),X0)|~aNaturalNumber0(X1)|isPrime0(X1)|X1=sz00|X1=sz10|sdtlseqdt0(sz10,X1)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3407,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(sk0_2(X1))|sdtlseqdt0(sk0_2(X1),X0)|~aNaturalNumber0(X1)|isPrime0(X1)|X1=sz00|X1=sz10|~aNaturalNumber0(sz10)|sdtlseqdt0(sz10,X1)|~spl0_73)),
% 11.15/2.17 inference(resolution,[status(thm)],[f718,f2226])).
% 11.15/2.17 fof(f3408,plain,(
% 11.15/2.17 spl0_307|~spl0_52|~spl0_73),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3407,f3404,f588,f707])).
% 11.15/2.17 fof(f3414,plain,(
% 11.15/2.17 spl0_309 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(sk0_3(X1))|sdtlseqdt0(sk0_3(X1),X0)|~aNaturalNumber0(X1)|sdtlseqdt0(sz10,X1)|X1=sz00|X1=sz10),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3417,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(sk0_3(X1))|sdtlseqdt0(sk0_3(X1),X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|sdtlseqdt0(sz10,X1)|X1=sz00|X1=sz10|~spl0_73)),
% 11.15/2.17 inference(resolution,[status(thm)],[f718,f2085])).
% 11.15/2.17 fof(f3418,plain,(
% 11.15/2.17 spl0_309|~spl0_52|~spl0_73),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3417,f3414,f588,f707])).
% 11.15/2.17 fof(f3424,plain,(
% 11.15/2.17 spl0_311 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|sdtlseqdt0(sz10,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3434,plain,(
% 11.15/2.17 spl0_313 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(sz10,X2)|sdtlseqdt0(X2,X1)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3437,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(sz10,X2)|sdtlseqdt0(X2,X1)|~spl0_73)),
% 11.15/2.17 inference(resolution,[status(thm)],[f718,f519])).
% 11.15/2.17 fof(f3438,plain,(
% 11.15/2.17 spl0_313|~spl0_52|~spl0_73),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3437,f3434,f588,f707])).
% 11.15/2.17 fof(f3443,plain,(
% 11.15/2.17 spl0_314 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(X1)|sdtlseqdt0(sz10,X1)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3446,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)|sdtlseqdt0(sz10,X1)|~spl0_73)),
% 11.15/2.17 inference(resolution,[status(thm)],[f718,f114])).
% 11.15/2.17 fof(f3447,plain,(
% 11.15/2.17 spl0_314|~spl0_52|~spl0_73),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3446,f3443,f588,f707])).
% 11.15/2.17 fof(f3448,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(sz10)|sdtlseqdt0(sz10,X0)|~aNaturalNumber0(sz10)|~spl0_73)),
% 11.15/2.17 inference(resolution,[status(thm)],[f718,f107])).
% 11.15/2.17 fof(f3449,plain,(
% 11.15/2.17 spl0_311|~spl0_52|~spl0_73),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3448,f3424,f588,f707])).
% 11.15/2.17 fof(f3460,plain,(
% 11.15/2.17 ~aNaturalNumber0(sz10)|sz10=sz00|sz10=sz10|~aNaturalNumber0(sz10)|sz10=sz00|sz10=sz10|~spl0_74),
% 11.15/2.17 inference(resolution,[status(thm)],[f719,f127])).
% 11.15/2.17 fof(f3461,plain,(
% 11.15/2.17 ~spl0_52|spl0_54|spl0_205|~spl0_74),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3460,f588,f594,f2055,f712])).
% 11.15/2.17 fof(f3470,plain,(
% 11.15/2.17 spl0_315 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X0)|sdtlseqdt0(sz10,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3473,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(sz10)|~aNaturalNumber0(X0)|sdtlseqdt0(sz10,X0)|~spl0_74)),
% 11.15/2.17 inference(resolution,[status(thm)],[f719,f114])).
% 11.15/2.17 fof(f3474,plain,(
% 11.15/2.17 spl0_315|~spl0_52|~spl0_74),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3473,f3470,f588,f712])).
% 11.15/2.17 fof(f3484,plain,(
% 11.15/2.17 ~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|spl0_258),
% 11.15/2.17 inference(resolution,[status(thm)],[f3003,f60])).
% 11.15/2.17 fof(f3485,plain,(
% 11.15/2.17 ~spl0_10|~spl0_7|spl0_258),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3484,f247,f236,f3001])).
% 11.15/2.17 fof(f3500,plain,(
% 11.15/2.17 spl0_318 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(xr,X0)|sdtlseqdt0(X0,sdtasdt0(xn,xm))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3503,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xr)|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(X0)|sdtlseqdt0(xr,X0)|sdtlseqdt0(X0,sdtasdt0(xn,xm))|~spl0_177)),
% 11.15/2.17 inference(resolution,[status(thm)],[f1732,f464])).
% 11.15/2.17 fof(f3504,plain,(
% 11.15/2.17 ~spl0_19|~spl0_13|spl0_318|~spl0_177),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3503,f312,f268,f3500,f1731])).
% 11.15/2.17 fof(f3505,plain,(
% 11.15/2.17 spl0_319 <=> iLess0(xr,sdtasdt0(xn,xm))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3508,plain,(
% 11.15/2.17 ~aNaturalNumber0(xr)|~aNaturalNumber0(sdtasdt0(xn,xm))|xr=sdtasdt0(xn,xm)|iLess0(xr,sdtasdt0(xn,xm))|~spl0_177),
% 11.15/2.17 inference(resolution,[status(thm)],[f1732,f133])).
% 11.15/2.17 fof(f3509,plain,(
% 11.15/2.17 ~spl0_19|~spl0_13|spl0_213|spl0_319|~spl0_177),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3508,f312,f268,f2195,f3505,f1731])).
% 11.15/2.17 fof(f3510,plain,(
% 11.15/2.17 spl0_320 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xr)|sdtlseqdt0(X0,sdtasdt0(xn,xm))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3513,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtasdt0(xn,xm))|~sdtlseqdt0(X0,xr)|sdtlseqdt0(X0,sdtasdt0(xn,xm))|~spl0_177)),
% 11.15/2.17 inference(resolution,[status(thm)],[f1732,f111])).
% 11.15/2.17 fof(f3514,plain,(
% 11.15/2.17 spl0_320|~spl0_19|~spl0_13|~spl0_177),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3513,f3510,f312,f268,f1731])).
% 11.15/2.17 fof(f3515,plain,(
% 11.15/2.17 spl0_321 <=> sdtlseqdt0(sdtasdt0(xn,xm),xr)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3517,plain,(
% 11.15/2.17 ~sdtlseqdt0(sdtasdt0(xn,xm),xr)|spl0_321),
% 11.15/2.17 inference(component_clause,[status(thm)],[f3515])).
% 11.15/2.17 fof(f3518,plain,(
% 11.15/2.17 ~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(xr)|~sdtlseqdt0(sdtasdt0(xn,xm),xr)|sdtasdt0(xn,xm)=xr|~spl0_177),
% 11.15/2.17 inference(resolution,[status(thm)],[f1732,f109])).
% 11.15/2.17 fof(f3519,plain,(
% 11.15/2.17 ~spl0_13|~spl0_19|~spl0_321|spl0_213|~spl0_177),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3518,f268,f312,f3515,f2195,f1731])).
% 11.15/2.17 fof(f3521,plain,(
% 11.15/2.17 ~isPrime0(xr)|~spl0_213|spl0_211),
% 11.15/2.17 inference(backward_demodulation,[status(thm)],[f2196,f2186])).
% 11.15/2.17 fof(f3522,plain,(
% 11.15/2.17 $false|~spl0_213|spl0_211),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f3521,f192])).
% 11.15/2.17 fof(f3523,plain,(
% 11.15/2.17 ~spl0_213|spl0_211),
% 11.15/2.17 inference(contradiction_clause,[status(thm)],[f3522])).
% 11.15/2.17 fof(f3641,plain,(
% 11.15/2.17 spl0_343 <=> isPrime0(xr)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3643,plain,(
% 11.15/2.17 ~isPrime0(xr)|spl0_343),
% 11.15/2.17 inference(component_clause,[status(thm)],[f3641])).
% 11.15/2.17 fof(f3728,plain,(
% 11.15/2.17 $false|spl0_343),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f3643,f192])).
% 11.15/2.17 fof(f3729,plain,(
% 11.15/2.17 spl0_343),
% 11.15/2.17 inference(contradiction_clause,[status(thm)],[f3728])).
% 11.15/2.17 fof(f3734,plain,(
% 11.15/2.17 ~sz00=sdtasdt0(xp,xm)|~spl0_176|spl0_0),
% 11.15/2.17 inference(backward_demodulation,[status(thm)],[f1727,f200])).
% 11.15/2.17 fof(f3735,plain,(
% 11.15/2.17 spl0_356 <=> doDivides0(xp,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3736,plain,(
% 11.15/2.17 doDivides0(xp,sz00)|~spl0_356),
% 11.15/2.17 inference(component_clause,[status(thm)],[f3735])).
% 11.15/2.17 fof(f3737,plain,(
% 11.15/2.17 ~doDivides0(xp,sz00)|spl0_356),
% 11.15/2.17 inference(component_clause,[status(thm)],[f3735])).
% 11.15/2.17 fof(f3738,plain,(
% 11.15/2.17 ~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)|xp=sz00|~doDivides0(xp,sz00)|sz00=sdtasdt0(xp,xk)|~spl0_176),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f1847,f219])).
% 11.15/2.17 fof(f3739,plain,(
% 11.15/2.17 ~spl0_8|~spl0_75|spl0_31|~spl0_356|spl0_256|~spl0_176),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3738,f239,f720,f382,f3735,f2964,f1726])).
% 11.15/2.17 fof(f3855,plain,(
% 11.15/2.17 ![X0,X1,X2]: (sdtasdt0(X0,X1)=sdtasdt0(X2,X1)|iLess0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~aNaturalNumber0(X2)|X1=sz00|X0=X2|~sdtlseqdt0(X0,X2))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f1387,f62])).
% 11.15/2.17 fof(f3861,plain,(
% 11.15/2.17 spl0_361 <=> sdtasdt0(sz00,xn)=sdtasdt0(X0,xn)|iLess0(sz00,sdtasdt0(X0,xn))|~aNaturalNumber0(X0)|sz00=X0|~sdtlseqdt0(sz00,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3864,plain,(
% 11.15/2.17 ![X0]: (sdtasdt0(sz00,xn)=sdtasdt0(X0,xn)|iLess0(sz00,sdtasdt0(X0,xn))|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|xn=sz00|sz00=X0|~sdtlseqdt0(sz00,X0)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f3855])).
% 11.15/2.17 fof(f3865,plain,(
% 11.15/2.17 spl0_361|~spl0_10|~spl0_75|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3864,f3861,f247,f720,f1058,f974])).
% 11.15/2.17 fof(f3871,plain,(
% 11.15/2.17 spl0_363 <=> sdtasdt0(X0,xn)=sdtasdt0(sz00,xn)|iLess0(sdtasdt0(X0,xn),sz00)|~aNaturalNumber0(X0)|X0=sz00|~sdtlseqdt0(X0,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3874,plain,(
% 11.15/2.17 ![X0]: (sdtasdt0(X0,xn)=sdtasdt0(sz00,xn)|iLess0(sdtasdt0(X0,xn),sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|xn=sz00|X0=sz00|~sdtlseqdt0(X0,sz00)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f3855])).
% 11.15/2.17 fof(f3875,plain,(
% 11.15/2.17 spl0_363|~spl0_10|~spl0_75|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3874,f3871,f247,f720,f1058,f974])).
% 11.15/2.17 fof(f3953,plain,(
% 11.15/2.17 spl0_364 <=> ~aNaturalNumber0(X0)|~doDivides0(X0,xn)|~aNaturalNumber0(X1)|~doDivides0(X1,X0)|doDivides0(X1,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3956,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|~doDivides0(X0,xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|~doDivides0(X1,X0)|doDivides0(X1,sz00)|~spl0_102)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f2576])).
% 11.15/2.17 fof(f3957,plain,(
% 11.15/2.17 spl0_364|~spl0_10|~spl0_75|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3956,f3953,f247,f720,f919])).
% 11.15/2.17 fof(f3958,plain,(
% 11.15/2.17 spl0_365 <=> ~aNaturalNumber0(X0)|~doDivides0(X0,sz00)|~aNaturalNumber0(X1)|~doDivides0(X1,X0)|doDivides0(X1,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3961,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~doDivides0(X0,sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)|~doDivides0(X1,X0)|doDivides0(X1,sz00)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f2576])).
% 11.15/2.17 fof(f3962,plain,(
% 11.15/2.17 spl0_365|~spl0_75|~spl0_10|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3961,f3958,f720,f247,f974])).
% 11.15/2.17 fof(f3963,plain,(
% 11.15/2.17 spl0_366 <=> ~aNaturalNumber0(X0)|~doDivides0(X0,xn)|X0=sz10|X0=sdtasdt0(xn,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3966,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|~doDivides0(X0,xn)|~aNaturalNumber0(sz00)|~isPrime0(sz00)|X0=sz10|X0=sdtasdt0(xn,sz00)|~spl0_102)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f2579])).
% 11.15/2.17 fof(f3967,plain,(
% 11.15/2.17 spl0_366|~spl0_10|~spl0_75|~spl0_281|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3966,f3963,f247,f720,f3188,f919])).
% 11.15/2.17 fof(f3968,plain,(
% 11.15/2.17 spl0_367 <=> ~aNaturalNumber0(X0)|~doDivides0(X0,sz00)|X0=sz10|X0=sdtasdt0(sz00,xn)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f3971,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~doDivides0(X0,sz00)|~aNaturalNumber0(xn)|~isPrime0(sz00)|X0=sz10|X0=sdtasdt0(sz00,xn)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f2579])).
% 11.15/2.17 fof(f3972,plain,(
% 11.15/2.17 spl0_367|~spl0_75|~spl0_10|~spl0_281|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f3971,f3968,f720,f247,f3188,f974])).
% 11.15/2.17 fof(f3975,plain,(
% 11.15/2.17 spl0_368 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(xp,X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,xk)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4027,plain,(
% 11.15/2.17 spl0_372 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(xn,X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,xp)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4030,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|sdtlseqdt0(xn,X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,xp))),
% 11.15/2.17 inference(resolution,[status(thm)],[f532,f178])).
% 11.15/2.17 fof(f4031,plain,(
% 11.15/2.17 ~spl0_10|~spl0_8|spl0_372),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4030,f247,f239,f4027])).
% 11.15/2.17 fof(f4034,plain,(
% 11.15/2.17 spl0_373 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(xm,X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,xp)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4037,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|sdtlseqdt0(xm,X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,xp))),
% 11.15/2.17 inference(resolution,[status(thm)],[f532,f179])).
% 11.15/2.17 fof(f4038,plain,(
% 11.15/2.17 ~spl0_7|~spl0_8|spl0_373),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4037,f236,f239,f4034])).
% 11.15/2.17 fof(f4041,plain,(
% 11.15/2.17 spl0_374 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(sz10,X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,xp)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4044,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(sz10)|~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|sdtlseqdt0(sz10,X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,xp)|spl0_149)),
% 11.15/2.17 inference(resolution,[status(thm)],[f532,f1309])).
% 11.15/2.17 fof(f4045,plain,(
% 11.15/2.17 ~spl0_52|~spl0_8|spl0_374|spl0_149),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4044,f588,f239,f4041,f1307])).
% 11.15/2.17 fof(f4048,plain,(
% 11.15/2.17 spl0_375 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X1,X2)|sdtlseqdt0(X2,X0)|~aNaturalNumber0(X0)|X0=sz00|X0=sz10),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4055,plain,(
% 11.15/2.17 spl0_376 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X1,X2)|sdtlseqdt0(X2,X0)|~aNaturalNumber0(X3)|X3=sz00|X3=sz10|~aNaturalNumber0(X0)|sdtlseqdt0(X0,X3)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4058,plain,(
% 11.15/2.17 ![X0,X1,X2,X3]: (~aNaturalNumber0(sz10)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X1,X2)|sdtlseqdt0(X2,X0)|~aNaturalNumber0(X3)|X3=sz00|X3=sz10|~aNaturalNumber0(X0)|sdtlseqdt0(X0,X3)|~spl0_73)),
% 11.15/2.17 inference(resolution,[status(thm)],[f532,f718])).
% 11.15/2.17 fof(f4059,plain,(
% 11.15/2.17 ~spl0_52|spl0_376|~spl0_73),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4058,f588,f4055,f707])).
% 11.15/2.17 fof(f4094,plain,(
% 11.15/2.17 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|~aNaturalNumber0(X3)|sdtlseqdt0(X2,X3)|sdtlseqdt0(X3,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|X1=X0|iLess0(X1,X0))),
% 11.15/2.17 inference(resolution,[status(thm)],[f532,f133])).
% 11.15/2.17 fof(f4095,plain,(
% 11.15/2.17 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|~aNaturalNumber0(X3)|sdtlseqdt0(X2,X3)|sdtlseqdt0(X3,X1)|X1=X0|iLess0(X1,X0))),
% 11.15/2.17 inference(duplicate_literals_removal,[status(esa)],[f4094])).
% 11.15/2.17 fof(f4247,plain,(
% 11.15/2.17 spl0_378 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,xk)|sdtlseqdt0(X1,X0)|sdtlseqdt0(xr,X1)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4250,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)|sdtlseqdt0(X0,xk)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(xr)|sdtlseqdt0(xr,X1))),
% 11.15/2.17 inference(resolution,[status(thm)],[f534,f193])).
% 11.15/2.17 fof(f4251,plain,(
% 11.15/2.17 spl0_378|~spl0_12|~spl0_19),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4250,f4247,f263,f312])).
% 11.15/2.17 fof(f4252,plain,(
% 11.15/2.17 spl0_379 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,sz00)|sdtlseqdt0(X1,X0)|sdtlseqdt0(sz00,X1)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4255,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)|sdtlseqdt0(X0,sz00)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(sz00)|sdtlseqdt0(sz00,X1)|~spl0_116)),
% 11.15/2.17 inference(resolution,[status(thm)],[f534,f999])).
% 11.15/2.17 fof(f4256,plain,(
% 11.15/2.17 spl0_379|~spl0_75|~spl0_116),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4255,f4252,f720,f998])).
% 11.15/2.17 fof(f4259,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)|sdtlseqdt0(X0,xk)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(xp)|sdtlseqdt0(xp,X1))),
% 11.15/2.17 inference(resolution,[status(thm)],[f534,f195])).
% 11.15/2.17 fof(f4260,plain,(
% 11.15/2.17 spl0_368|~spl0_12|~spl0_8),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4259,f3975,f263,f239])).
% 11.15/2.17 fof(f4283,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X0,X2)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(sz10)|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X2)|X2=sz00|X2=sz10)),
% 11.15/2.17 inference(resolution,[status(thm)],[f534,f127])).
% 11.15/2.17 fof(f4284,plain,(
% 11.15/2.17 spl0_375|~spl0_52),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4283,f4048,f588])).
% 11.15/2.17 fof(f4423,plain,(
% 11.15/2.17 spl0_381 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~sdtlseqdt0(sz00,X0)|sdtasdt0(sz00,xn)=X0),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4426,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(xn)|xn=sz00|~sdtlseqdt0(sz00,X0)|sdtasdt0(sz00,xn)=X0|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f562])).
% 11.15/2.17 fof(f4427,plain,(
% 11.15/2.17 spl0_381|~spl0_75|~spl0_10|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4426,f4423,f720,f247,f1058,f974])).
% 11.15/2.17 fof(f4484,plain,(
% 11.15/2.17 spl0_383 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|~sdtlseqdt0(sz00,X0)|sdtasdt0(sz00,xn)=X0),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4487,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|~aNaturalNumber0(xn)|xn=sz00|~sdtlseqdt0(sz00,X0)|sdtasdt0(sz00,xn)=X0|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f580])).
% 11.15/2.17 fof(f4488,plain,(
% 11.15/2.17 ~spl0_75|spl0_383|~spl0_10|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4487,f720,f4484,f247,f1058,f974])).
% 11.15/2.17 fof(f4494,plain,(
% 11.15/2.17 spl0_385 <=> ~aNaturalNumber0(X0)|X0=sdtasdt0(sz00,xn)|iLess0(X0,sz00)|sdtlseqdt0(sz00,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4497,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|X0=sdtasdt0(sz00,xn)|iLess0(X0,sz00)|~aNaturalNumber0(sz00)|sdtlseqdt0(sz00,X0)|~aNaturalNumber0(xn)|xn=sz00|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f770])).
% 11.15/2.17 fof(f4498,plain,(
% 11.15/2.17 spl0_385|~spl0_75|~spl0_10|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4497,f4494,f720,f247,f1058,f974])).
% 11.15/2.17 fof(f4505,plain,(
% 11.15/2.17 spl0_387 <=> ~aNaturalNumber0(X0)|X0=sdtasdt0(sz00,xn)|iLess0(X0,sz00)|~sdtlseqdt0(X0,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4508,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|X0=sdtasdt0(sz00,xn)|iLess0(X0,sz00)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(xn)|xn=sz00|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f773])).
% 11.15/2.17 fof(f4509,plain,(
% 11.15/2.17 spl0_387|~spl0_75|~spl0_10|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4508,f4505,f720,f247,f1058,f974])).
% 11.15/2.17 fof(f4513,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(xm)|~aNaturalNumber0(X0)|xp=sz00|xm=X0|~sdtlseqdt0(xm,X0)|~aNaturalNumber0(xp)|sdtlseqdt0(xp,sdtasdt0(xp,X0))|~spl0_148)),
% 11.15/2.17 inference(resolution,[status(thm)],[f1297,f2140])).
% 11.15/2.17 fof(f4514,plain,(
% 11.15/2.17 ~spl0_8|~spl0_7|spl0_137|spl0_31|~spl0_148),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4513,f239,f236,f1200,f382,f1296])).
% 11.15/2.17 fof(f4515,plain,(
% 11.15/2.17 spl0_388 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,sdtasdt0(xp,xm))|sdtlseqdt0(X1,X0)|sdtlseqdt0(xp,X1)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4518,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(xp,xm))|sdtlseqdt0(X0,sdtasdt0(xp,xm))|sdtlseqdt0(X1,X0)|~aNaturalNumber0(xp)|sdtlseqdt0(xp,X1)|~spl0_148)),
% 11.15/2.17 inference(resolution,[status(thm)],[f1297,f534])).
% 11.15/2.17 fof(f4519,plain,(
% 11.15/2.17 spl0_388|~spl0_5|~spl0_8|~spl0_148),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4518,f4515,f228,f239,f1296])).
% 11.15/2.17 fof(f4520,plain,(
% 11.15/2.17 spl0_389 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(xp,X0)|sdtlseqdt0(X0,sdtasdt0(xp,xm))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4523,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xp,xm))|~aNaturalNumber0(X0)|sdtlseqdt0(xp,X0)|sdtlseqdt0(X0,sdtasdt0(xp,xm))|~spl0_148)),
% 11.15/2.17 inference(resolution,[status(thm)],[f1297,f464])).
% 11.15/2.17 fof(f4524,plain,(
% 11.15/2.17 ~spl0_8|~spl0_5|spl0_389|~spl0_148),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4523,f239,f228,f4520,f1296])).
% 11.15/2.17 fof(f4527,plain,(
% 11.15/2.17 spl0_390 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xp)|sdtlseqdt0(X0,sdtasdt0(xp,xm))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4530,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xp,xm))|~sdtlseqdt0(X0,xp)|sdtlseqdt0(X0,sdtasdt0(xp,xm))|~spl0_148)),
% 11.15/2.17 inference(resolution,[status(thm)],[f1297,f111])).
% 11.15/2.17 fof(f4531,plain,(
% 11.15/2.17 spl0_390|~spl0_8|~spl0_5|~spl0_148),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4530,f4527,f239,f228,f1296])).
% 11.15/2.17 fof(f4560,plain,(
% 11.15/2.17 spl0_396 <=> isPrime0(xp)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4562,plain,(
% 11.15/2.17 ~isPrime0(xp)|spl0_396),
% 11.15/2.17 inference(component_clause,[status(thm)],[f4560])).
% 11.15/2.17 fof(f4719,plain,(
% 11.15/2.17 $false|spl0_396),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f4562,f176])).
% 11.15/2.17 fof(f4720,plain,(
% 11.15/2.17 spl0_396),
% 11.15/2.17 inference(contradiction_clause,[status(thm)],[f4719])).
% 11.15/2.17 fof(f4795,plain,(
% 11.15/2.17 spl0_426 <=> ~aNaturalNumber0(X0)|~doDivides0(X0,xp)|doDivides0(X0,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4798,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~aNaturalNumber0(sz00)|~doDivides0(X0,xp)|doDivides0(X0,sz00)|~spl0_176)),
% 11.15/2.17 inference(resolution,[status(thm)],[f1849,f147])).
% 11.15/2.17 fof(f4799,plain,(
% 11.15/2.17 spl0_426|~spl0_8|~spl0_75|~spl0_176),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4798,f4795,f239,f720,f1726])).
% 11.15/2.17 fof(f4800,plain,(
% 11.15/2.17 ~aNaturalNumber0(sz00)|~isPrime0(sz00)|~aNaturalNumber0(xp)|xp=sz10|xp=sz00|~spl0_176),
% 11.15/2.17 inference(resolution,[status(thm)],[f1849,f161])).
% 11.15/2.17 fof(f4801,plain,(
% 11.15/2.17 ~spl0_75|~spl0_281|~spl0_8|spl0_150|spl0_31|~spl0_176),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4800,f720,f3188,f239,f1310,f382,f1726])).
% 11.15/2.17 fof(f4833,plain,(
% 11.15/2.17 $false|~spl0_176|spl0_356),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f3737,f1849])).
% 11.15/2.17 fof(f4834,plain,(
% 11.15/2.17 ~spl0_176|spl0_356),
% 11.15/2.17 inference(contradiction_clause,[status(thm)],[f4833])).
% 11.15/2.17 fof(f4875,plain,(
% 11.15/2.17 spl0_431 <=> ~aNaturalNumber0(X0)|~doDivides0(X0,xr)|doDivides0(X0,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4878,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xr)|~aNaturalNumber0(sz00)|~doDivides0(X0,xr)|doDivides0(X0,sz00)|~spl0_176)),
% 11.15/2.17 inference(resolution,[status(thm)],[f1848,f147])).
% 11.15/2.17 fof(f4879,plain,(
% 11.15/2.17 spl0_431|~spl0_19|~spl0_75|~spl0_176),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4878,f4875,f312,f720,f1726])).
% 11.15/2.17 fof(f4963,plain,(
% 11.15/2.17 spl0_442 <=> ~aNaturalNumber0(X0)|sdtasdt0(xn,sdtpldt0(X0,xm))=sdtpldt0(sdtasdt0(xn,X0),sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4966,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(xm)|sdtasdt0(xn,sdtpldt0(X0,xm))=sdtpldt0(sdtasdt0(xn,X0),sz00)|~spl0_176)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f1727,f81])).
% 11.15/2.17 fof(f4967,plain,(
% 11.15/2.17 ~spl0_10|spl0_442|~spl0_7|~spl0_176),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4966,f247,f4963,f236,f1726])).
% 11.15/2.17 fof(f4968,plain,(
% 11.15/2.17 spl0_443 <=> ~aNaturalNumber0(X0)|sdtasdt0(xn,sdtpldt0(xm,X0))=sdtpldt0(sz00,sdtasdt0(xn,X0))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4971,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|~aNaturalNumber0(X0)|sdtasdt0(xn,sdtpldt0(xm,X0))=sdtpldt0(sz00,sdtasdt0(xn,X0))|~spl0_176)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f1727,f81])).
% 11.15/2.17 fof(f4972,plain,(
% 11.15/2.17 ~spl0_10|~spl0_7|spl0_443|~spl0_176),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4971,f247,f236,f4968,f1726])).
% 11.15/2.17 fof(f4973,plain,(
% 11.15/2.17 spl0_444 <=> ~aNaturalNumber0(X0)|sdtasdt0(sdtpldt0(X0,xn),xm)=sdtpldt0(sdtasdt0(X0,xm),sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4976,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|sdtasdt0(sdtpldt0(X0,xn),xm)=sdtpldt0(sdtasdt0(X0,xm),sz00)|~spl0_176)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f1727,f82])).
% 11.15/2.17 fof(f4977,plain,(
% 11.15/2.17 ~spl0_7|spl0_444|~spl0_10|~spl0_176),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4976,f236,f4973,f247,f1726])).
% 11.15/2.17 fof(f4978,plain,(
% 11.15/2.17 spl0_445 <=> ~aNaturalNumber0(X0)|sdtasdt0(sdtpldt0(xn,X0),xm)=sdtpldt0(sz00,sdtasdt0(X0,xm))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f4981,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xm)|~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|sdtasdt0(sdtpldt0(xn,X0),xm)=sdtpldt0(sz00,sdtasdt0(X0,xm))|~spl0_176)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f1727,f82])).
% 11.15/2.17 fof(f4982,plain,(
% 11.15/2.17 ~spl0_7|~spl0_10|spl0_445|~spl0_176),
% 11.15/2.17 inference(split_clause,[status(thm)],[f4981,f236,f247,f4978,f1726])).
% 11.15/2.17 fof(f5007,plain,(
% 11.15/2.17 spl0_450 <=> ~aNaturalNumber0(X0)|X0=sz00|~doDivides0(X0,xm)|sdtasdt0(xn,sdtsldt0(xm,X0))=sdtsldt0(sz00,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5010,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xm)|X0=sz00|~doDivides0(X0,xm)|~aNaturalNumber0(xn)|sdtasdt0(xn,sdtsldt0(xm,X0))=sdtsldt0(sz00,X0)|~spl0_176)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f1727,f155])).
% 11.15/2.17 fof(f5011,plain,(
% 11.15/2.17 spl0_450|~spl0_7|~spl0_10|~spl0_176),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5010,f5007,f236,f247,f1726])).
% 11.15/2.17 fof(f5068,plain,(
% 11.15/2.17 ~sdtlseqdt0(sz00,sz00)|~spl0_102|spl0_106),
% 11.15/2.17 inference(forward_demodulation,[status(thm)],[f920,f939])).
% 11.15/2.17 fof(f5069,plain,(
% 11.15/2.17 $false|~spl0_116|~spl0_102|spl0_106),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f5068,f999])).
% 11.15/2.17 fof(f5070,plain,(
% 11.15/2.17 ~spl0_116|~spl0_102|spl0_106),
% 11.15/2.17 inference(contradiction_clause,[status(thm)],[f5069])).
% 11.15/2.17 fof(f5071,plain,(
% 11.15/2.17 $false|~spl0_235),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f2488,f224])).
% 11.15/2.17 fof(f5072,plain,(
% 11.15/2.17 ~spl0_235),
% 11.15/2.17 inference(contradiction_clause,[status(thm)],[f5071])).
% 11.15/2.17 fof(f5086,plain,(
% 11.15/2.17 sdtlseqdt0(sz10,xp)|~spl0_123),
% 11.15/2.17 inference(backward_demodulation,[status(thm)],[f1091,f181])).
% 11.15/2.17 fof(f5087,plain,(
% 11.15/2.17 spl0_124|~spl0_123),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5086,f1093,f1090])).
% 11.15/2.17 fof(f5092,plain,(
% 11.15/2.17 spl0_116|~spl0_119|~spl0_190),
% 11.15/2.17 inference(split_clause,[status(thm)],[f1955,f998,f1058,f1870])).
% 11.15/2.17 fof(f5096,plain,(
% 11.15/2.17 sdtlseqdt0(sdtasdt0(sz00,xm),sdtasdt0(xp,xm))|~spl0_119|~spl0_1),
% 11.15/2.17 inference(forward_demodulation,[status(thm)],[f1059,f202])).
% 11.15/2.17 fof(f5114,plain,(
% 11.15/2.17 spl0_458 <=> ~aNaturalNumber0(X0)|xm=X0|~sdtlseqdt0(xm,X0)|sdtlseqdt0(sdtasdt0(sz00,xm),sdtasdt0(xp,X0))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5117,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(xm)|~aNaturalNumber0(X0)|xp=sz00|xm=X0|~sdtlseqdt0(xm,X0)|~aNaturalNumber0(sdtasdt0(sz00,xm))|sdtlseqdt0(sdtasdt0(sz00,xm),sdtasdt0(xp,X0))|~spl0_119|~spl0_1)),
% 11.15/2.17 inference(resolution,[status(thm)],[f5096,f2140])).
% 11.15/2.17 fof(f5118,plain,(
% 11.15/2.17 ~spl0_8|~spl0_7|spl0_458|spl0_31|~spl0_151|~spl0_119|~spl0_1),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5117,f239,f236,f5114,f382,f1319,f1058,f201])).
% 11.15/2.17 fof(f5119,plain,(
% 11.15/2.17 spl0_459 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,sdtasdt0(xp,xm))|sdtlseqdt0(X1,X0)|sdtlseqdt0(sdtasdt0(sz00,xm),X1)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5122,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(xp,xm))|sdtlseqdt0(X0,sdtasdt0(xp,xm))|sdtlseqdt0(X1,X0)|~aNaturalNumber0(sdtasdt0(sz00,xm))|sdtlseqdt0(sdtasdt0(sz00,xm),X1)|~spl0_119|~spl0_1)),
% 11.15/2.17 inference(resolution,[status(thm)],[f5096,f534])).
% 11.15/2.17 fof(f5123,plain,(
% 11.15/2.17 spl0_459|~spl0_5|~spl0_151|~spl0_119|~spl0_1),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5122,f5119,f228,f1319,f1058,f201])).
% 11.15/2.17 fof(f5124,plain,(
% 11.15/2.17 spl0_460 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(sdtasdt0(sz00,xm),X0)|sdtlseqdt0(X0,sdtasdt0(xp,xm))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5127,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(sdtasdt0(sz00,xm))|~aNaturalNumber0(sdtasdt0(xp,xm))|~aNaturalNumber0(X0)|sdtlseqdt0(sdtasdt0(sz00,xm),X0)|sdtlseqdt0(X0,sdtasdt0(xp,xm))|~spl0_119|~spl0_1)),
% 11.15/2.17 inference(resolution,[status(thm)],[f5096,f464])).
% 11.15/2.17 fof(f5128,plain,(
% 11.15/2.17 ~spl0_151|~spl0_5|spl0_460|~spl0_119|~spl0_1),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5127,f1319,f228,f5124,f1058,f201])).
% 11.15/2.17 fof(f5131,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(sz00,xm))|~aNaturalNumber0(sdtasdt0(xp,xm))|~sdtlseqdt0(X0,sdtasdt0(sz00,xm))|sdtlseqdt0(X0,sdtasdt0(xp,xm))|~spl0_119|~spl0_1)),
% 11.15/2.17 inference(resolution,[status(thm)],[f5096,f111])).
% 11.15/2.17 fof(f5132,plain,(
% 11.15/2.17 spl0_196|~spl0_151|~spl0_5|~spl0_119|~spl0_1),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5131,f1921,f1319,f228,f1058,f201])).
% 11.15/2.17 fof(f5165,plain,(
% 11.15/2.17 spl0_461 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,xp)|sdtlseqdt0(X1,X0)|sdtlseqdt0(sz00,X1)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5375,plain,(
% 11.15/2.17 doDivides0(xp,sdtasdt0(sz00,xm))|~spl0_119),
% 11.15/2.17 inference(forward_demodulation,[status(thm)],[f1059,f177])).
% 11.15/2.17 fof(f5376,plain,(
% 11.15/2.17 spl0_462 <=> ~aNaturalNumber0(X0)|~doDivides0(X0,xp)|doDivides0(X0,sdtasdt0(sz00,xm))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5379,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(sz00,xm))|~doDivides0(X0,xp)|doDivides0(X0,sdtasdt0(sz00,xm))|~spl0_119)),
% 11.15/2.17 inference(resolution,[status(thm)],[f5375,f147])).
% 11.15/2.17 fof(f5380,plain,(
% 11.15/2.17 spl0_462|~spl0_8|~spl0_151|~spl0_119),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5379,f5376,f239,f1319,f1058])).
% 11.15/2.17 fof(f5454,plain,(
% 11.15/2.17 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~sdtlseqdt0(X3,sdtpldt0(X2,X0))|sdtlseqdt0(X3,sdtpldt0(X2,X1)))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f1787,f60])).
% 11.15/2.17 fof(f5469,plain,(
% 11.15/2.17 spl0_465 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|sdtlseqdt0(sz10,sdtpldt0(X2,X1))|~aNaturalNumber0(sdtpldt0(X2,X0))|sdtpldt0(X2,X0)=sz00|sdtpldt0(X2,X0)=sz10),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5472,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sz10)|sdtlseqdt0(sz10,sdtpldt0(X2,X1))|~aNaturalNumber0(sdtpldt0(X2,X0))|sdtpldt0(X2,X0)=sz00|sdtpldt0(X2,X0)=sz10)),
% 11.15/2.17 inference(resolution,[status(thm)],[f5454,f127])).
% 11.15/2.17 fof(f5473,plain,(
% 11.15/2.17 spl0_465|~spl0_52),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5472,f5469,f588])).
% 11.15/2.17 fof(f5547,plain,(
% 11.15/2.17 spl0_466 <=> ~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|X0=X0|~sdtlseqdt0(X0,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5550,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X0=sz00|X1=X1|~sdtlseqdt0(X1,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|X1=sz00|X0=X0|~sdtlseqdt0(X0,X0))),
% 11.15/2.17 inference(resolution,[status(thm)],[f2590,f124])).
% 11.15/2.17 fof(f5551,plain,(
% 11.15/2.17 spl0_466),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5550,f5547])).
% 11.15/2.17 fof(f5552,plain,(
% 11.15/2.17 spl0_467 <=> ~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X0)|X0=sz00),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5553,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X0)|X0=sz00|~spl0_467)),
% 11.15/2.17 inference(component_clause,[status(thm)],[f5552])).
% 11.15/2.17 fof(f5555,plain,(
% 11.15/2.17 spl0_468 <=> ~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|X2=X1|~sdtlseqdt0(X2,X1)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5558,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X0)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|X0=sz00|X2=X1|~sdtlseqdt0(X2,X1))),
% 11.15/2.17 inference(resolution,[status(thm)],[f2590,f122])).
% 11.15/2.17 fof(f5559,plain,(
% 11.15/2.17 spl0_467|spl0_468),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5558,f5552,f5555])).
% 11.15/2.17 fof(f5585,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|~spl0_467)),
% 11.15/2.17 inference(duplicate_literals_removal,[status(esa)],[f5553])).
% 11.15/2.17 fof(f5636,plain,(
% 11.15/2.17 spl0_469 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|sdtlseqdt0(X1,X0)|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(sk0_3(X0))|sk0_3(X0)=sz00|sk0_3(X0)=sz10),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5641,plain,(
% 11.15/2.17 spl0_470 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|sdtlseqdt0(X1,X0)|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X2)|X2=sz00|X2=sz10|~aNaturalNumber0(sk0_3(X0))|sdtlseqdt0(sk0_3(X0),X2)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5644,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(sz10)|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X2)|X2=sz00|X2=sz10|~aNaturalNumber0(sk0_3(X0))|sdtlseqdt0(sk0_3(X0),X2)|~spl0_73)),
% 11.15/2.17 inference(resolution,[status(thm)],[f2457,f718])).
% 11.15/2.17 fof(f5645,plain,(
% 11.15/2.17 spl0_470|~spl0_52|~spl0_73),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5644,f5641,f588,f707])).
% 11.15/2.17 fof(f5683,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X1,X0)|X0=sz00|X0=sz10|~aNaturalNumber0(sz10)|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(sk0_3(X0))|sk0_3(X0)=sz00|sk0_3(X0)=sz10)),
% 11.15/2.17 inference(resolution,[status(thm)],[f2482,f127])).
% 11.15/2.17 fof(f5684,plain,(
% 11.15/2.17 spl0_469|~spl0_52),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5683,f5636,f588])).
% 11.15/2.17 fof(f5746,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(sz00,X0)|~aNaturalNumber0(xp)|sdtlseqdt0(X1,xp)|spl0_98)),
% 11.15/2.17 inference(resolution,[status(thm)],[f882,f532])).
% 11.15/2.17 fof(f5747,plain,(
% 11.15/2.17 spl0_461|~spl0_75|~spl0_8|spl0_98),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5746,f5165,f720,f239,f880])).
% 11.15/2.17 fof(f5766,plain,(
% 11.15/2.17 ~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)|sz00=xp|iLess0(sz00,xp)|~spl0_95),
% 11.15/2.17 inference(resolution,[status(thm)],[f864,f133])).
% 11.15/2.17 fof(f5767,plain,(
% 11.15/2.17 ~spl0_75|~spl0_8|spl0_31|spl0_96|~spl0_95),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5766,f720,f239,f382,f868,f863])).
% 11.15/2.17 fof(f5768,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xp)|~sdtlseqdt0(X0,sz00)|sdtlseqdt0(X0,xp)|~spl0_95)),
% 11.15/2.17 inference(resolution,[status(thm)],[f864,f111])).
% 11.15/2.17 fof(f5769,plain,(
% 11.15/2.17 spl0_97|~spl0_75|~spl0_8|~spl0_95),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5768,f875,f720,f239,f863])).
% 11.15/2.17 fof(f5778,plain,(
% 11.15/2.17 sdtlseqdt0(sz00,sz10)|~spl0_123|~spl0_190),
% 11.15/2.17 inference(forward_demodulation,[status(thm)],[f1091,f1871])).
% 11.15/2.17 fof(f5781,plain,(
% 11.15/2.17 spl0_471 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|sdtlseqdt0(sz00,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5784,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(sz00)|sdtlseqdt0(sz00,X0)|~spl0_123|~spl0_190|~spl0_73)),
% 11.15/2.17 inference(resolution,[status(thm)],[f5778,f718])).
% 11.15/2.17 fof(f5785,plain,(
% 11.15/2.17 spl0_471|~spl0_75|~spl0_123|~spl0_190|~spl0_73),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5784,f5781,f720,f1090,f1870,f707])).
% 11.15/2.17 fof(f5786,plain,(
% 11.15/2.17 spl0_472 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,sz10)|sdtlseqdt0(X1,X0)|sdtlseqdt0(sz00,X1)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5789,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|sdtlseqdt0(X0,sz10)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(sz00)|sdtlseqdt0(sz00,X1)|~spl0_123|~spl0_190)),
% 11.15/2.17 inference(resolution,[status(thm)],[f5778,f534])).
% 11.15/2.17 fof(f5790,plain,(
% 11.15/2.17 spl0_472|~spl0_52|~spl0_75|~spl0_123|~spl0_190),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5789,f5786,f588,f720,f1090,f1870])).
% 11.15/2.17 fof(f5791,plain,(
% 11.15/2.17 spl0_473 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|sdtlseqdt0(X0,sz10)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5794,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|sdtlseqdt0(X0,sz10)|~spl0_123|~spl0_190)),
% 11.15/2.17 inference(resolution,[status(thm)],[f5778,f464])).
% 11.15/2.17 fof(f5795,plain,(
% 11.15/2.17 ~spl0_75|~spl0_52|spl0_473|~spl0_123|~spl0_190),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5794,f720,f588,f5791,f1090,f1870])).
% 11.15/2.17 fof(f5796,plain,(
% 11.15/2.17 spl0_474 <=> iLess0(sz00,sz10)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5799,plain,(
% 11.15/2.17 ~aNaturalNumber0(sz00)|~aNaturalNumber0(sz10)|sz00=sz10|iLess0(sz00,sz10)|~spl0_123|~spl0_190),
% 11.15/2.17 inference(resolution,[status(thm)],[f5778,f133])).
% 11.15/2.17 fof(f5800,plain,(
% 11.15/2.17 ~spl0_75|~spl0_52|spl0_54|spl0_474|~spl0_123|~spl0_190),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5799,f720,f588,f594,f5796,f1090,f1870])).
% 11.15/2.17 fof(f5801,plain,(
% 11.15/2.17 spl0_475 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|sdtlseqdt0(X0,sz10)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5804,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~aNaturalNumber0(sz10)|~sdtlseqdt0(X0,sz00)|sdtlseqdt0(X0,sz10)|~spl0_123|~spl0_190)),
% 11.15/2.17 inference(resolution,[status(thm)],[f5778,f111])).
% 11.15/2.17 fof(f5805,plain,(
% 11.15/2.17 spl0_475|~spl0_75|~spl0_52|~spl0_123|~spl0_190),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5804,f5801,f720,f588,f1090,f1870])).
% 11.15/2.17 fof(f5806,plain,(
% 11.15/2.17 spl0_476 <=> sdtlseqdt0(sz10,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5809,plain,(
% 11.15/2.17 ~aNaturalNumber0(sz10)|~aNaturalNumber0(sz00)|~sdtlseqdt0(sz10,sz00)|sz10=sz00|~spl0_123|~spl0_190),
% 11.15/2.17 inference(resolution,[status(thm)],[f5778,f109])).
% 11.15/2.17 fof(f5810,plain,(
% 11.15/2.17 ~spl0_52|~spl0_75|~spl0_476|spl0_54|~spl0_123|~spl0_190),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5809,f588,f720,f5806,f594,f1090,f1870])).
% 11.15/2.17 fof(f5853,plain,(
% 11.15/2.17 spl0_479 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,sdtasdt0(xp,xm))|sdtlseqdt0(X1,X0)|sdtlseqdt0(sdtasdt0(xn,xm),X1)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5856,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(xp,xm))|sdtlseqdt0(X0,sdtasdt0(xp,xm))|sdtlseqdt0(X1,X0)|~aNaturalNumber0(sdtasdt0(xn,xm))|sdtlseqdt0(sdtasdt0(xn,xm),X1)|~spl0_1)),
% 11.15/2.17 inference(resolution,[status(thm)],[f202,f534])).
% 11.15/2.17 fof(f5857,plain,(
% 11.15/2.17 spl0_479|~spl0_5|~spl0_13|~spl0_1),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5856,f5853,f228,f268,f201])).
% 11.15/2.17 fof(f5892,plain,(
% 11.15/2.17 spl0_480 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(sz00,X0)|sdtlseqdt0(X1,xn)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5905,plain,(
% 11.15/2.17 spl0_481 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|sdtlseqdt0(X0,xn)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5915,plain,(
% 11.15/2.17 xk=sz00|~spl0_467|~spl0_12),
% 11.15/2.17 inference(resolution,[status(thm)],[f5585,f264])).
% 11.15/2.17 fof(f5916,plain,(
% 11.15/2.17 spl0_33|~spl0_467|~spl0_12),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5915,f390,f5552,f263])).
% 11.15/2.17 fof(f5928,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X1=sdtsldt0(sdtasdt0(X0,X1),X0)|~aNaturalNumber0(X1))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f2301,f2236])).
% 11.15/2.17 fof(f5939,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|sdtlseqdt0(X0,xn)|sdtlseqdt0(X1,X0)|~aNaturalNumber0(sz00)|sdtlseqdt0(sz00,X1)|~spl0_190)),
% 11.15/2.17 inference(resolution,[status(thm)],[f1871,f534])).
% 11.15/2.17 fof(f5940,plain,(
% 11.15/2.17 spl0_480|~spl0_10|~spl0_75|~spl0_190),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5939,f5892,f247,f720,f1870])).
% 11.15/2.17 fof(f5941,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|sdtlseqdt0(X0,xn)|~spl0_190)),
% 11.15/2.17 inference(resolution,[status(thm)],[f1871,f464])).
% 11.15/2.17 fof(f5942,plain,(
% 11.15/2.17 ~spl0_75|~spl0_10|spl0_481|~spl0_190),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5941,f720,f247,f5905,f1870])).
% 11.15/2.17 fof(f5948,plain,(
% 11.15/2.17 spl0_483 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|sdtlseqdt0(X0,xn)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f5951,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xn)|~sdtlseqdt0(X0,sz00)|sdtlseqdt0(X0,xn)|~spl0_190)),
% 11.15/2.17 inference(resolution,[status(thm)],[f1871,f111])).
% 11.15/2.17 fof(f5952,plain,(
% 11.15/2.17 spl0_483|~spl0_75|~spl0_10|~spl0_190),
% 11.15/2.17 inference(split_clause,[status(thm)],[f5951,f5948,f720,f247,f1870])).
% 11.15/2.17 fof(f6392,plain,(
% 11.15/2.17 ~aNaturalNumber0(xn)|xn=sz00|sz00=sdtsldt0(sz00,xn)|~aNaturalNumber0(sz00)|~spl0_102),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f5928])).
% 11.15/2.17 fof(f6393,plain,(
% 11.15/2.17 ~spl0_10|spl0_119|spl0_280|~spl0_75|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f6392,f247,f1058,f3183,f720,f919])).
% 11.15/2.17 fof(f6434,plain,(
% 11.15/2.17 spl0_484 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(xr,X0)|sdtlseqdt0(X1,sdtasdt0(xn,xm))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f6437,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xr)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(xr,X0)|~aNaturalNumber0(sdtasdt0(xn,xm))|sdtlseqdt0(X1,sdtasdt0(xn,xm))|spl0_321)),
% 11.15/2.17 inference(resolution,[status(thm)],[f3517,f532])).
% 11.15/2.17 fof(f6438,plain,(
% 11.15/2.17 spl0_484|~spl0_19|~spl0_13|spl0_321),
% 11.15/2.17 inference(split_clause,[status(thm)],[f6437,f6434,f312,f268,f3515])).
% 11.15/2.17 fof(f6439,plain,(
% 11.15/2.17 ~aNaturalNumber0(xr)|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(sdtasdt0(xn,xm))|sdtlseqdt0(xr,sdtasdt0(xn,xm))|~aNaturalNumber0(xr)|sdtlseqdt0(xr,sdtasdt0(xn,xm))|spl0_321),
% 11.15/2.17 inference(resolution,[status(thm)],[f3517,f532])).
% 11.15/2.17 fof(f6440,plain,(
% 11.15/2.17 ~spl0_19|~spl0_13|spl0_177|spl0_321),
% 11.15/2.17 inference(split_clause,[status(thm)],[f6439,f312,f268,f1731,f3515])).
% 11.15/2.17 fof(f6455,plain,(
% 11.15/2.17 ~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xp,xm))|~aNaturalNumber0(sdtasdt0(xp,xm))|sdtlseqdt0(xp,sdtasdt0(xp,xm))|~aNaturalNumber0(xp)|sdtlseqdt0(xp,sdtasdt0(xp,xm))|spl0_173),
% 11.15/2.17 inference(resolution,[status(thm)],[f1632,f532])).
% 11.15/2.17 fof(f6456,plain,(
% 11.15/2.17 ~spl0_8|~spl0_5|spl0_148|spl0_173),
% 11.15/2.17 inference(split_clause,[status(thm)],[f6455,f239,f228,f1296,f1630])).
% 11.15/2.17 fof(f6491,plain,(
% 11.15/2.17 ~aNaturalNumber0(xk)|sdtlseqdt0(xk,xp)|~spl0_38|~spl0_143),
% 11.15/2.17 inference(resolution,[status(thm)],[f441,f1244])).
% 11.15/2.17 fof(f6492,plain,(
% 11.15/2.17 ~spl0_12|spl0_22|~spl0_38|~spl0_143),
% 11.15/2.17 inference(split_clause,[status(thm)],[f6491,f263,f323,f440,f1243])).
% 11.15/2.17 fof(f6500,plain,(
% 11.15/2.17 spl0_492 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(X0,xp)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtlseqdt0(X1,X2)|sdtlseqdt0(xm,X1)|~aNaturalNumber0(X0)|sdtlseqdt0(X2,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f6503,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,xp)|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)|~aNaturalNumber0(X2)|sdtlseqdt0(X1,X2)|sdtlseqdt0(xm,X1)|~aNaturalNumber0(X0)|sdtlseqdt0(X2,X0)|~spl0_38)),
% 11.15/2.17 inference(resolution,[status(thm)],[f441,f532])).
% 11.15/2.17 fof(f6504,plain,(
% 11.15/2.17 spl0_492|~spl0_7|~spl0_38),
% 11.15/2.17 inference(split_clause,[status(thm)],[f6503,f6500,f236,f440])).
% 11.15/2.17 fof(f6515,plain,(
% 11.15/2.17 spl0_493 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(X0,xp)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(xm,X1)|sdtlseqdt0(X1,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f6518,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,xp)|~aNaturalNumber0(xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(xm,X1)|sdtlseqdt0(X1,X0)|~spl0_38)),
% 11.15/2.17 inference(resolution,[status(thm)],[f441,f519])).
% 11.15/2.17 fof(f6519,plain,(
% 11.15/2.17 spl0_493|~spl0_7|~spl0_38),
% 11.15/2.17 inference(split_clause,[status(thm)],[f6518,f6515,f236,f440])).
% 11.15/2.17 fof(f6524,plain,(
% 11.15/2.17 spl0_494 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(X0,xp)|~aNaturalNumber0(X0)|sdtlseqdt0(xm,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f6527,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,xp)|~aNaturalNumber0(xm)|~aNaturalNumber0(X0)|sdtlseqdt0(xm,X0)|~spl0_38)),
% 11.15/2.17 inference(resolution,[status(thm)],[f441,f114])).
% 11.15/2.17 fof(f6528,plain,(
% 11.15/2.17 spl0_494|~spl0_7|~spl0_38),
% 11.15/2.17 inference(split_clause,[status(thm)],[f6527,f6524,f236,f440])).
% 11.15/2.17 fof(f6551,plain,(
% 11.15/2.17 ~aNaturalNumber0(xp)|~aNaturalNumber0(xm)|sdtasdt0(xp,xm)=sz00|~aNaturalNumber0(sdtasdt0(xn,xm))|~sdtlseqdt0(sdtasdt0(xn,xm),xp)|spl0_1),
% 11.15/2.17 inference(resolution,[status(thm)],[f203,f2276])).
% 11.15/2.17 fof(f6552,plain,(
% 11.15/2.17 ~spl0_8|~spl0_7|spl0_155|~spl0_13|~spl0_36|spl0_1),
% 11.15/2.17 inference(split_clause,[status(thm)],[f6551,f239,f236,f1404,f268,f428,f201])).
% 11.15/2.17 fof(f6608,plain,(
% 11.15/2.17 ~aNaturalNumber0(sz00)|~isPrime0(sz00)|~aNaturalNumber0(xp)|xp=sz10|xp=sz00|~spl0_356),
% 11.15/2.17 inference(resolution,[status(thm)],[f3736,f161])).
% 11.15/2.17 fof(f6609,plain,(
% 11.15/2.17 ~spl0_75|~spl0_281|~spl0_8|spl0_150|spl0_31|~spl0_356),
% 11.15/2.17 inference(split_clause,[status(thm)],[f6608,f720,f3188,f239,f1310,f382,f3735])).
% 11.15/2.17 fof(f6833,plain,(
% 11.15/2.17 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~sdtlseqdt0(X3,sdtpldt0(X0,X2))|sdtlseqdt0(X3,sdtpldt0(X1,X2)))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f2298,f60])).
% 11.15/2.17 fof(f6846,plain,(
% 11.15/2.17 spl0_501 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|sdtlseqdt0(sz10,sdtpldt0(X1,X2))|~aNaturalNumber0(sdtpldt0(X0,X2))|sdtpldt0(X0,X2)=sz00|sdtpldt0(X0,X2)=sz10),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f6849,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sz10)|sdtlseqdt0(sz10,sdtpldt0(X1,X2))|~aNaturalNumber0(sdtpldt0(X0,X2))|sdtpldt0(X0,X2)=sz00|sdtpldt0(X0,X2)=sz10)),
% 11.15/2.17 inference(resolution,[status(thm)],[f6833,f127])).
% 11.15/2.17 fof(f6850,plain,(
% 11.15/2.17 spl0_501|~spl0_52),
% 11.15/2.17 inference(split_clause,[status(thm)],[f6849,f6846,f588])).
% 11.15/2.17 fof(f7056,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|X1=sk0_1(sdtasdt0(X0,X1),X0)|~doDivides0(X0,sdtasdt0(X0,X1)))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f2597,f62])).
% 11.15/2.17 fof(f7057,plain,(
% 11.15/2.17 spl0_503 <=> sz00=sk0_1(sz00,xn)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f7060,plain,(
% 11.15/2.17 ~aNaturalNumber0(xn)|xn=sz00|~aNaturalNumber0(sz00)|sz00=sk0_1(sz00,xn)|~doDivides0(xn,sdtasdt0(xn,sz00))|~spl0_102),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f7056])).
% 11.15/2.17 fof(f7061,plain,(
% 11.15/2.17 ~spl0_10|spl0_119|~spl0_75|spl0_503|~spl0_279|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f7060,f247,f1058,f720,f7057,f3180,f919])).
% 11.15/2.17 fof(f7149,plain,(
% 11.15/2.17 spl0_513 <=> ~aNaturalNumber0(X0)|X0=sz00|~sdtlseqdt0(X0,sz00)|~sdtlseqdt0(sz00,sdtasdt0(xn,X0))),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f7152,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|xn=sz00|X0=sz00|~sdtlseqdt0(X0,sz00)|~sdtlseqdt0(sz00,sdtasdt0(xn,X0))|~spl0_102)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f2590])).
% 11.15/2.17 fof(f7153,plain,(
% 11.15/2.17 ~spl0_10|spl0_513|~spl0_75|spl0_119|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f7152,f247,f7149,f720,f1058,f919])).
% 11.15/2.17 fof(f7159,plain,(
% 11.15/2.17 spl0_515 <=> ~aNaturalNumber0(X0)|sz00=X0|~sdtlseqdt0(sz00,X0)|~sdtlseqdt0(sdtasdt0(xn,X0),sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f7162,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|xn=sz00|sz00=X0|~sdtlseqdt0(sz00,X0)|~sdtlseqdt0(sdtasdt0(xn,X0),sz00)|~spl0_102)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f2590])).
% 11.15/2.17 fof(f7163,plain,(
% 11.15/2.17 ~spl0_10|~spl0_75|spl0_515|spl0_119|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f7162,f247,f720,f7159,f1058,f919])).
% 11.15/2.17 fof(f7231,plain,(
% 11.15/2.17 spl0_519 <=> iLess0(sz00,sdtasdt0(xn,X0))|~aNaturalNumber0(X0)|sz00=X0|~sdtlseqdt0(sz00,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f7234,plain,(
% 11.15/2.17 ![X0]: (iLess0(sz00,sdtasdt0(xn,X0))|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|xn=sz00|sz00=X0|~sdtlseqdt0(sz00,X0)|~spl0_102)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f2589])).
% 11.15/2.17 fof(f7235,plain,(
% 11.15/2.17 spl0_519|~spl0_10|~spl0_75|spl0_119|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f7234,f7231,f247,f720,f1058,f919])).
% 11.15/2.17 fof(f7241,plain,(
% 11.15/2.17 spl0_521 <=> iLess0(sdtasdt0(xn,X0),sz00)|~aNaturalNumber0(X0)|X0=sz00|~sdtlseqdt0(X0,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f7244,plain,(
% 11.15/2.17 ![X0]: (iLess0(sdtasdt0(xn,X0),sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|xn=sz00|X0=sz00|~sdtlseqdt0(X0,sz00)|~spl0_102)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f920,f2589])).
% 11.15/2.17 fof(f7245,plain,(
% 11.15/2.17 spl0_521|~spl0_10|~spl0_75|spl0_119|~spl0_102),
% 11.15/2.17 inference(split_clause,[status(thm)],[f7244,f7241,f247,f720,f1058,f919])).
% 11.15/2.17 fof(f7433,plain,(
% 11.15/2.17 ![X0,X1,X2]: (iLess0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~aNaturalNumber0(X2)|X1=sz00|X0=X2|~sdtlseqdt0(X0,X2))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f3855,f88])).
% 11.15/2.17 fof(f7439,plain,(
% 11.15/2.17 spl0_524 <=> iLess0(sz00,sdtasdt0(X0,xn))|~aNaturalNumber0(X0)|sz00=X0|~sdtlseqdt0(sz00,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f7442,plain,(
% 11.15/2.17 ![X0]: (iLess0(sz00,sdtasdt0(X0,xn))|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|xn=sz00|sz00=X0|~sdtlseqdt0(sz00,X0)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f7433])).
% 11.15/2.17 fof(f7443,plain,(
% 11.15/2.17 spl0_524|~spl0_10|~spl0_75|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f7442,f7439,f247,f720,f1058,f974])).
% 11.15/2.17 fof(f7449,plain,(
% 11.15/2.17 spl0_526 <=> iLess0(sdtasdt0(X0,xn),sz00)|~aNaturalNumber0(X0)|X0=sz00|~sdtlseqdt0(X0,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f7452,plain,(
% 11.15/2.17 ![X0]: (iLess0(sdtasdt0(X0,xn),sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|xn=sz00|X0=sz00|~sdtlseqdt0(X0,sz00)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f7433])).
% 11.15/2.17 fof(f7453,plain,(
% 11.15/2.17 spl0_526|~spl0_10|~spl0_75|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f7452,f7449,f247,f720,f1058,f974])).
% 11.15/2.17 fof(f7661,plain,(
% 11.15/2.17 sdtasdt0(xp,xp)=sz00|~spl0_23|~spl0_256),
% 11.15/2.17 inference(forward_demodulation,[status(thm)],[f327,f2965])).
% 11.15/2.17 fof(f7663,plain,(
% 11.15/2.17 ~aNaturalNumber0(xp)|~aNaturalNumber0(xp)|xp=sz00|xp=sz00|~spl0_23|~spl0_256),
% 11.15/2.17 inference(resolution,[status(thm)],[f7661,f93])).
% 11.15/2.17 fof(f7664,plain,(
% 11.15/2.17 ~spl0_8|spl0_31|~spl0_23|~spl0_256),
% 11.15/2.17 inference(split_clause,[status(thm)],[f7663,f239,f382,f326,f2964])).
% 11.15/2.17 fof(f8193,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X0)|X1=sz00|X2=X0|~sdtlseqdt0(X2,X0))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f2906,f88])).
% 11.15/2.17 fof(f8202,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X2,X0))|~aNaturalNumber0(X1)|~sdtlseqdt0(sdtasdt0(X2,X0),X1)|~aNaturalNumber0(X0)|X0=sz00)),
% 11.15/2.17 inference(resolution,[status(thm)],[f8193,f462])).
% 11.15/2.17 fof(f8203,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X2,X0))|~sdtlseqdt0(sdtasdt0(X2,X0),X1))),
% 11.15/2.17 inference(duplicate_literals_removal,[status(esa)],[f8202])).
% 11.15/2.17 fof(f8204,plain,(
% 11.15/2.17 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~sdtlseqdt0(sdtasdt0(X2,X0),X1))),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f8203,f62])).
% 11.15/2.17 fof(f8238,plain,(
% 11.15/2.17 spl0_599 <=> ~sdtlseqdt0(sz00,sdtasdt0(X0,xn))|~aNaturalNumber0(X0)|X0=sz00|~sdtlseqdt0(X0,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f8241,plain,(
% 11.15/2.17 ![X0]: (~sdtlseqdt0(sz00,sdtasdt0(X0,xn))|~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|xn=sz00|X0=sz00|~sdtlseqdt0(X0,sz00)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f8193])).
% 11.15/2.17 fof(f8242,plain,(
% 11.15/2.17 spl0_599|~spl0_10|~spl0_75|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f8241,f8238,f247,f720,f1058,f974])).
% 11.15/2.17 fof(f8253,plain,(
% 11.15/2.17 spl0_602 <=> ~sdtlseqdt0(sdtasdt0(X0,xn),sz00)|~aNaturalNumber0(X0)|sz00=X0|~sdtlseqdt0(sz00,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f8256,plain,(
% 11.15/2.17 ![X0]: (~sdtlseqdt0(sdtasdt0(X0,xn),sz00)|~aNaturalNumber0(xn)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|xn=sz00|sz00=X0|~sdtlseqdt0(sz00,X0)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f8193])).
% 11.15/2.17 fof(f8257,plain,(
% 11.15/2.17 spl0_602|~spl0_10|~spl0_75|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f8256,f8253,f247,f720,f1058,f974])).
% 11.15/2.17 fof(f8331,plain,(
% 11.15/2.17 spl0_605 <=> ~aNaturalNumber0(X0)|X0=sz00|~sdtlseqdt0(X0,sz00)|~sdtlseqdt0(sz00,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f8334,plain,(
% 11.15/2.17 ![X0]: (~aNaturalNumber0(xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|xn=sz00|X0=sz00|~sdtlseqdt0(X0,sz00)|~sdtlseqdt0(sz00,X0)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f8204])).
% 11.15/2.17 fof(f8335,plain,(
% 11.15/2.17 ~spl0_10|spl0_605|~spl0_75|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f8334,f247,f8331,f720,f1058,f974])).
% 11.15/2.17 fof(f8391,plain,(
% 11.15/2.17 spl0_608 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f8394,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(xn)|xn=sz00|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,sz00)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f556])).
% 11.15/2.17 fof(f8395,plain,(
% 11.15/2.17 spl0_608|~spl0_75|~spl0_10|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f8394,f8391,f720,f247,f1058,f974])).
% 11.15/2.17 fof(f8451,plain,(
% 11.15/2.17 spl0_611 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(X1)|~sdtlseqdt0(X1,X0)|sdtlseqdt0(X1,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f8454,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|~aNaturalNumber0(xn)|xn=sz00|~aNaturalNumber0(X1)|~sdtlseqdt0(X1,X0)|sdtlseqdt0(X1,sz00)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f559])).
% 11.15/2.17 fof(f8455,plain,(
% 11.15/2.17 spl0_611|~spl0_75|~spl0_10|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f8454,f8451,f720,f247,f1058,f974])).
% 11.15/2.17 fof(f8561,plain,(
% 11.15/2.17 spl0_614 <=> ~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X1,X0)|sdtlseqdt0(X1,sz00)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f8564,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|~aNaturalNumber0(xn)|xn=sz00|~aNaturalNumber0(X1)|~sdtlseqdt0(X1,X0)|sdtlseqdt0(X1,sz00)|~spl0_112)),
% 11.15/2.17 inference(paramodulation,[status(thm)],[f975,f577])).
% 11.15/2.17 fof(f8565,plain,(
% 11.15/2.17 ~spl0_75|spl0_614|~spl0_10|spl0_119|~spl0_112),
% 11.15/2.17 inference(split_clause,[status(thm)],[f8564,f720,f8561,f247,f1058,f974])).
% 11.15/2.17 fof(f8716,plain,(
% 11.15/2.17 spl0_617 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,xk)|sdtlseqdt0(xp,X1)|X1=X0|iLess0(X1,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f8719,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)|sdtlseqdt0(X0,xk)|~aNaturalNumber0(xp)|sdtlseqdt0(xp,X1)|X1=X0|iLess0(X1,X0)|spl0_22)),
% 11.15/2.17 inference(resolution,[status(thm)],[f4095,f325])).
% 11.15/2.17 fof(f8720,plain,(
% 11.15/2.17 spl0_617|~spl0_12|~spl0_8|spl0_22),
% 11.15/2.17 inference(split_clause,[status(thm)],[f8719,f8716,f263,f239,f323])).
% 11.15/2.17 fof(f8731,plain,(
% 11.15/2.17 spl0_620 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,xp)|sdtlseqdt0(sz00,X1)|X1=X0|iLess0(X1,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f8734,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)|sdtlseqdt0(X0,xp)|~aNaturalNumber0(sz00)|sdtlseqdt0(sz00,X1)|X1=X0|iLess0(X1,X0)|spl0_98)),
% 11.15/2.17 inference(resolution,[status(thm)],[f4095,f882])).
% 11.15/2.17 fof(f8735,plain,(
% 11.15/2.17 spl0_620|~spl0_8|~spl0_75|spl0_98),
% 11.15/2.17 inference(split_clause,[status(thm)],[f8734,f8731,f239,f720,f880])).
% 11.15/2.17 fof(f8736,plain,(
% 11.15/2.17 spl0_621 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,xp)|sdtlseqdt0(xn,X1)|X1=X0|iLess0(X1,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f8739,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)|sdtlseqdt0(X0,xp)|~aNaturalNumber0(xn)|sdtlseqdt0(xn,X1)|X1=X0|iLess0(X1,X0))),
% 11.15/2.17 inference(resolution,[status(thm)],[f4095,f178])).
% 11.15/2.17 fof(f8740,plain,(
% 11.15/2.17 spl0_621|~spl0_8|~spl0_10),
% 11.15/2.17 inference(split_clause,[status(thm)],[f8739,f8736,f239,f247])).
% 11.15/2.17 fof(f8741,plain,(
% 11.15/2.17 spl0_622 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,xp)|sdtlseqdt0(sz10,X1)|X1=X0|iLess0(X1,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f8744,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)|sdtlseqdt0(X0,xp)|~aNaturalNumber0(sz10)|sdtlseqdt0(sz10,X1)|X1=X0|iLess0(X1,X0)|spl0_149)),
% 11.15/2.17 inference(resolution,[status(thm)],[f4095,f1309])).
% 11.15/2.17 fof(f8745,plain,(
% 11.15/2.17 spl0_622|~spl0_8|~spl0_52|spl0_149),
% 11.15/2.17 inference(split_clause,[status(thm)],[f8744,f8741,f239,f588,f1307])).
% 11.15/2.17 fof(f8851,plain,(
% 11.15/2.17 spl0_624 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,xk)|xp=X0|iLess0(xp,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f8854,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(xk)|sdtlseqdt0(X1,xk)|xp=X0|iLess0(xp,X0)|spl0_22)),
% 11.15/2.17 inference(resolution,[status(thm)],[f4095,f325])).
% 11.15/2.17 fof(f8855,plain,(
% 11.15/2.17 spl0_624|~spl0_8|~spl0_12|spl0_22),
% 11.15/2.17 inference(split_clause,[status(thm)],[f8854,f8851,f239,f263,f323])).
% 11.15/2.17 fof(f8866,plain,(
% 11.15/2.17 spl0_627 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,xp)|sz00=X0|iLess0(sz00,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f8869,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(xp)|sdtlseqdt0(X1,xp)|sz00=X0|iLess0(sz00,X0)|spl0_98)),
% 11.15/2.17 inference(resolution,[status(thm)],[f4095,f882])).
% 11.15/2.17 fof(f8870,plain,(
% 11.15/2.17 spl0_627|~spl0_75|~spl0_8|spl0_98),
% 11.15/2.17 inference(split_clause,[status(thm)],[f8869,f8866,f720,f239,f880])).
% 11.15/2.17 fof(f8871,plain,(
% 11.15/2.17 spl0_628 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,xp)|xn=X0|iLess0(xn,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f8874,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(xp)|sdtlseqdt0(X1,xp)|xn=X0|iLess0(xn,X0))),
% 11.15/2.17 inference(resolution,[status(thm)],[f4095,f178])).
% 11.15/2.17 fof(f8875,plain,(
% 11.15/2.17 spl0_628|~spl0_10|~spl0_8),
% 11.15/2.17 inference(split_clause,[status(thm)],[f8874,f8871,f247,f239])).
% 11.15/2.17 fof(f8876,plain,(
% 11.15/2.17 spl0_629 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,xp)|sz10=X0|iLess0(sz10,X0)),
% 11.15/2.17 introduced(split_symbol_definition)).
% 11.15/2.17 fof(f8879,plain,(
% 11.15/2.17 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(xp)|sdtlseqdt0(X1,xp)|sz10=X0|iLess0(sz10,X0)|spl0_149)),
% 11.15/2.17 inference(resolution,[status(thm)],[f4095,f1309])).
% 11.15/2.17 fof(f8880,plain,(
% 11.15/2.17 spl0_629|~spl0_52|~spl0_8|spl0_149),
% 11.15/2.17 inference(split_clause,[status(thm)],[f8879,f8876,f588,f239,f1307])).
% 11.15/2.17 fof(f9281,plain,(
% 11.15/2.17 $false|~spl0_102|~spl0_0|~spl0_35|spl0_2|~spl0_256),
% 11.15/2.17 inference(forward_subsumption_resolution,[status(thm)],[f2965,f1977])).
% 11.15/2.17 fof(f9282,plain,(
% 11.15/2.17 ~spl0_102|~spl0_0|~spl0_35|spl0_2|~spl0_256),
% 11.15/2.17 inference(contradiction_clause,[status(thm)],[f9281])).
% 11.15/2.17 fof(f9292,plain,(
% 11.15/2.17 ~sdtlseqdt0(sz00,sdtasdt0(xn,xm))|~spl0_35|spl0_32),
% 11.15/2.17 inference(forward_demodulation,[status(thm)],[f399,f387])).
% 11.15/2.17 fof(f9293,plain,(
% 11.15/2.17 ~sdtlseqdt0(sz00,sdtasdt0(xn,sz00))|~spl0_35|spl0_32),
% 11.15/2.17 inference(forward_demodulation,[status(thm)],[f399,f9292])).
% 11.15/2.17 fof(f9294,plain,(
% 11.15/2.17 ~sdtlseqdt0(sz00,sz00)|~spl0_102|~spl0_35|spl0_32),
% 11.15/2.17 inference(forward_demodulation,[status(thm)],[f920,f9293])).
% 11.15/2.17 fof(f9295,plain,(
% 11.15/2.18 $false|~spl0_116|~spl0_102|~spl0_35|spl0_32),
% 11.15/2.18 inference(forward_subsumption_resolution,[status(thm)],[f9294,f999])).
% 11.15/2.18 fof(f9296,plain,(
% 11.15/2.18 ~spl0_116|~spl0_102|~spl0_35|spl0_32),
% 11.15/2.18 inference(contradiction_clause,[status(thm)],[f9295])).
% 11.15/2.18 fof(f9303,plain,(
% 11.15/2.18 ~spl0_155|~spl0_176|spl0_0),
% 11.15/2.18 inference(split_clause,[status(thm)],[f3734,f1404,f1726,f198])).
% 11.15/2.18 fof(f9310,plain,(
% 11.15/2.18 $false),
% 11.15/2.18 inference(sat_refutation,[status(thm)],[f210,f246,f254,f256,f258,f260,f262,f267,f277,f294,f311,f330,f338,f346,f389,f411,f435,f444,f449,f459,f469,f489,f494,f499,f504,f514,f598,f603,f631,f633,f635,f665,f670,f677,f706,f711,f716,f731,f740,f745,f750,f755,f784,f786,f832,f893,f907,f953,f958,f963,f968,f973,f1006,f1010,f1014,f1038,f1049,f1062,f1072,f1083,f1102,f1112,f1116,f1122,f1139,f1231,f1242,f1247,f1258,f1306,f1314,f1414,f1419,f1470,f1477,f1482,f1496,f1507,f1520,f1569,f1730,f1735,f1737,f1751,f1756,f1769,f1779,f1791,f1793,f1813,f1818,f1831,f1839,f1843,f1845,f1892,f1954,f1971,f2094,f2147,f2149,f2188,f2199,f2220,f2247,f2249,f2284,f2289,f2303,f2452,f2510,f2564,f2713,f2891,f2927,f2932,f2949,f3005,f3010,f3037,f3098,f3103,f3141,f3146,f3153,f3158,f3172,f3192,f3199,f3206,f3221,f3226,f3259,f3285,f3292,f3297,f3302,f3307,f3312,f3317,f3336,f3348,f3355,f3376,f3408,f3418,f3438,f3447,f3449,f3461,f3474,f3485,f3504,f3509,f3514,f3519,f3523,f3729,f3739,f3865,f3875,f3957,f3962,f3967,f3972,f4031,f4038,f4045,f4059,f4251,f4256,f4260,f4284,f4427,f4488,f4498,f4509,f4514,f4519,f4524,f4531,f4720,f4799,f4801,f4834,f4879,f4967,f4972,f4977,f4982,f5011,f5070,f5072,f5087,f5092,f5118,f5123,f5128,f5132,f5380,f5473,f5551,f5559,f5645,f5684,f5747,f5767,f5769,f5785,f5790,f5795,f5800,f5805,f5810,f5857,f5916,f5940,f5942,f5952,f6393,f6438,f6440,f6456,f6492,f6504,f6519,f6528,f6552,f6609,f6850,f7061,f7153,f7163,f7235,f7245,f7443,f7453,f7664,f8242,f8257,f8335,f8395,f8455,f8565,f8720,f8735,f8740,f8745,f8855,f8870,f8875,f8880,f9282,f9296,f9303])).
% 11.15/2.18 % SZS output end CNFRefutation for theBenchmark.p
% 11.15/2.18 % Elapsed time: 1.826580 seconds
% 11.15/2.18 % CPU time: 11.507562 seconds
% 11.15/2.18 % Memory used: 126.716 MB
%------------------------------------------------------------------------------