TSTP Solution File: NUM507+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM507+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:34:57 EDT 2024
% Result : Theorem 6.93s 1.21s
% Output : CNFRefutation 6.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM507+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31 % Computer : n028.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Apr 29 21:02:14 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 6.93/1.21 % Refutation found
% 6.93/1.21 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.93/1.21 % SZS output start CNFRefutation for theBenchmark
% 6.93/1.21 fof(f2,axiom,(
% 6.93/1.21 aNaturalNumber0(sz00) ),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f3,axiom,(
% 6.93/1.21 ( aNaturalNumber0(sz10)& sz10 != sz00 ) ),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f4,axiom,(
% 6.93/1.21 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f5,axiom,(
% 6.93/1.21 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f7,axiom,(
% 6.93/1.21 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> sdtpldt0(sdtpldt0(W0,W1),W2) = sdtpldt0(W0,sdtpldt0(W1,W2)) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f8,axiom,(
% 6.93/1.21 (! [W0] :( aNaturalNumber0(W0)=> ( sdtpldt0(W0,sz00) = W0& W0 = sdtpldt0(sz00,W0) ) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f11,axiom,(
% 6.93/1.21 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz10) = W0& W0 = sdtasdt0(sz10,W0) ) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f12,axiom,(
% 6.93/1.21 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f14,axiom,(
% 6.93/1.21 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)| sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )=> W1 = W2 ) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f15,axiom,(
% 6.93/1.21 (! [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 ) ) )) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f16,axiom,(
% 6.93/1.21 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtpldt0(W0,W1) = sz00=> ( W0 = sz00& W1 = sz00 ) ) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f17,axiom,(
% 6.93/1.21 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtasdt0(W0,W1) = sz00=> ( W0 = sz00| W1 = sz00 ) ) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f18,definition,(
% 6.93/1.21 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) )) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f19,definition,(
% 6.93/1.21 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)=> (! [W2] :( W2 = sdtmndt0(W1,W0)<=> ( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) ) )) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f20,axiom,(
% 6.93/1.21 (! [W0] :( aNaturalNumber0(W0)=> sdtlseqdt0(W0,W0) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f21,axiom,(
% 6.93/1.21 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f22,axiom,(
% 6.93/1.21 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W2) )=> sdtlseqdt0(W0,W2) ) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f23,axiom,(
% 6.93/1.21 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)| ( W1 != W0& sdtlseqdt0(W1,W0) ) ) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f24,axiom,(
% 6.93/1.21 (! [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)) ) ) )) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f25,axiom,(
% 6.93/1.21 (! [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)) ) ) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f26,axiom,(
% 6.93/1.21 (! [W0] :( aNaturalNumber0(W0)=> ( W0 = sz00| W0 = sz10| ( sz10 != W0& sdtlseqdt0(sz10,W0) ) ) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f27,axiom,(
% 6.93/1.21 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( W0 != sz00=> sdtlseqdt0(W1,sdtasdt0(W1,W0)) ) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f30,definition,(
% 6.93/1.21 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( doDivides0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) )) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f31,definition,(
% 6.93/1.21 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( W0 != sz00& doDivides0(W0,W1) )=> (! [W2] :( W2 = sdtsldt0(W1,W0)<=> ( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) ) )) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f32,axiom,(
% 6.93/1.21 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( doDivides0(W0,W1)& doDivides0(W1,W2) )=> doDivides0(W0,W2) ) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f37,definition,(
% 6.93/1.21 (! [W0] :( aNaturalNumber0(W0)=> ( isPrime0(W0)<=> ( W0 != sz00& W0 != sz10& (! [W1] :( ( aNaturalNumber0(W1)& doDivides0(W1,W0) )=> ( W1 = sz10| W1 = W0 ) ) )) ) ) )),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f39,hypothesis,(
% 6.93/1.21 ( aNaturalNumber0(xn)& aNaturalNumber0(xm)& aNaturalNumber0(xp) ) ),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f41,hypothesis,(
% 6.93/1.21 ( isPrime0(xp)& doDivides0(xp,sdtasdt0(xn,xm)) ) ),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f42,hypothesis,(
% 6.93/1.21 ~ sdtlseqdt0(xp,xn) ),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f43,hypothesis,(
% 6.93/1.21 ~ sdtlseqdt0(xp,xm) ),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f44,hypothesis,(
% 6.93/1.21 ( xn != xp& sdtlseqdt0(xn,xp)& xm != xp& sdtlseqdt0(xm,xp) ) ),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f45,hypothesis,(
% 6.93/1.21 xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f48,hypothesis,(
% 6.93/1.21 ( aNaturalNumber0(xr)& doDivides0(xr,xk)& isPrime0(xr) ) ),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f49,hypothesis,(
% 6.93/1.21 ( sdtlseqdt0(xr,xk)& doDivides0(xr,sdtasdt0(xn,xm)) ) ),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f50,hypothesis,(
% 6.93/1.21 ( xk != xp& sdtlseqdt0(xk,xp) ) ),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f51,conjecture,(
% 6.93/1.21 ( sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(sdtpldt0(xn,xm),xp)& sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ) ),
% 6.93/1.21 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 6.93/1.21 fof(f52,negated_conjecture,(
% 6.93/1.21 ~(( sdtpldt0(sdtpldt0(xn,xm),xr) != sdtpldt0(sdtpldt0(xn,xm),xp)& sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)) ) )),
% 6.93/1.21 inference(negated_conjecture,[status(cth)],[f51])).
% 6.93/1.21 fof(f56,plain,(
% 6.93/1.21 aNaturalNumber0(sz00)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f2])).
% 6.93/1.21 fof(f57,plain,(
% 6.93/1.21 aNaturalNumber0(sz10)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f3])).
% 6.93/1.21 fof(f58,plain,(
% 6.93/1.21 ~sz10=sz00),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f3])).
% 6.93/1.21 fof(f59,plain,(
% 6.93/1.21 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 6.93/1.21 fof(f60,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f59])).
% 6.93/1.21 fof(f61,plain,(
% 6.93/1.21 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 6.93/1.21 fof(f62,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f61])).
% 6.93/1.21 fof(f65,plain,(
% 6.93/1.21 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|sdtpldt0(sdtpldt0(W0,W1),W2)=sdtpldt0(W0,sdtpldt0(W1,W2)))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 6.93/1.21 fof(f66,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(sdtpldt0(X0,X1),X2)=sdtpldt0(X0,sdtpldt0(X1,X2)))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f65])).
% 6.93/1.21 fof(f67,plain,(
% 6.93/1.21 ![W0]: (~aNaturalNumber0(W0)|(sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 6.93/1.21 fof(f68,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(X0,sz00)=X0)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f67])).
% 6.93/1.21 fof(f69,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|X0=sdtpldt0(sz00,X0))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f67])).
% 6.93/1.21 fof(f74,plain,(
% 6.93/1.21 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 6.93/1.21 fof(f75,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz10)=X0)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f74])).
% 6.93/1.21 fof(f76,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|X0=sdtasdt0(sz10,X0))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f74])).
% 6.93/1.21 fof(f77,plain,(
% 6.93/1.21 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 6.93/1.21 fof(f78,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz00)=sz00)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f77])).
% 6.93/1.21 fof(f83,plain,(
% 6.93/1.21 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtpldt0(W0,W1)=sdtpldt0(W0,W2)&~sdtpldt0(W1,W0)=sdtpldt0(W2,W0))|W1=W2))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 6.93/1.21 fof(f84,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X1)=sdtpldt0(X0,X2)|X1=X2)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f83])).
% 6.93/1.21 fof(f85,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtpldt0(X1,X0)=sdtpldt0(X2,X0)|X1=X2)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f83])).
% 6.93/1.21 fof(f86,plain,(
% 6.93/1.21 ![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)))))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 6.93/1.21 fof(f87,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtasdt0(X0,X1)=sdtasdt0(X0,X2)|X1=X2)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f86])).
% 6.93/1.21 fof(f88,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtasdt0(X1,X0)=sdtasdt0(X2,X0)|X1=X2)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f86])).
% 6.93/1.21 fof(f89,plain,(
% 6.93/1.21 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtpldt0(W0,W1)=sz00|(W0=sz00&W1=sz00)))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 6.93/1.21 fof(f90,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtpldt0(X0,X1)=sz00|X0=sz00)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f89])).
% 6.93/1.21 fof(f91,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtpldt0(X0,X1)=sz00|X1=sz00)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f89])).
% 6.93/1.21 fof(f92,plain,(
% 6.93/1.21 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtasdt0(W0,W1)=sz00|(W0=sz00|W1=sz00)))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 6.93/1.21 fof(f93,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtasdt0(X0,X1)=sz00|X0=sz00|X1=sz00)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f92])).
% 6.93/1.21 fof(f94,plain,(
% 6.93/1.21 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 6.93/1.21 fof(f95,plain,(
% 6.93/1.21 ![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)))))),
% 6.93/1.21 inference(NNF_transformation,[status(esa)],[f94])).
% 6.93/1.21 fof(f96,plain,(
% 6.93/1.21 ![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)))))),
% 6.93/1.21 inference(skolemization,[status(esa)],[f95])).
% 6.93/1.21 fof(f98,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|sdtpldt0(X0,sk0_0(X1,X0))=X1)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f96])).
% 6.93/1.21 fof(f99,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X2)=X1)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f96])).
% 6.93/1.21 fof(f100,plain,(
% 6.93/1.21 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|(![W2]: (W2=sdtmndt0(W1,W0)<=>(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 6.93/1.21 fof(f101,plain,(
% 6.93/1.21 ![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))))))),
% 6.93/1.21 inference(NNF_transformation,[status(esa)],[f100])).
% 6.93/1.21 fof(f102,plain,(
% 6.93/1.21 ![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))))))),
% 6.93/1.21 inference(miniscoping,[status(esa)],[f101])).
% 6.93/1.21 fof(f105,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|X2=sdtmndt0(X1,X0)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X2)=X1)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f102])).
% 6.93/1.21 fof(f106,plain,(
% 6.93/1.21 ![W0]: (~aNaturalNumber0(W0)|sdtlseqdt0(W0,W0))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 6.93/1.21 fof(f107,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,X0))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f106])).
% 6.93/1.21 fof(f108,plain,(
% 6.93/1.21 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 6.93/1.21 fof(f109,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f108])).
% 6.93/1.21 fof(f110,plain,(
% 6.93/1.21 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W2))|sdtlseqdt0(W0,W2)))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 6.93/1.21 fof(f111,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|sdtlseqdt0(X0,X2))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f110])).
% 6.93/1.21 fof(f112,plain,(
% 6.93/1.21 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)|(~W1=W0&sdtlseqdt0(W1,W0))))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 6.93/1.21 fof(f114,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f112])).
% 6.93/1.21 fof(f115,plain,(
% 6.93/1.21 ![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)))))))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 6.93/1.21 fof(f117,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1)))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f115])).
% 6.93/1.21 fof(f119,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f115])).
% 6.93/1.21 fof(f120,plain,(
% 6.93/1.21 ![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)))))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 6.93/1.21 fof(f121,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~sdtasdt0(X0,X1)=sdtasdt0(X0,X2))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f120])).
% 6.93/1.21 fof(f123,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~sdtasdt0(X1,X0)=sdtasdt0(X2,X0))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f120])).
% 6.93/1.21 fof(f125,plain,(
% 6.93/1.21 ![W0]: (~aNaturalNumber0(W0)|((W0=sz00|W0=sz10)|(~sz10=W0&sdtlseqdt0(sz10,W0))))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 6.93/1.21 fof(f127,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|sdtlseqdt0(sz10,X0))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f125])).
% 6.93/1.21 fof(f128,plain,(
% 6.93/1.21 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(W0=sz00|sdtlseqdt0(W1,sdtasdt0(W1,W0))))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 6.93/1.21 fof(f129,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|sdtlseqdt0(X1,sdtasdt0(X1,X0)))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f128])).
% 6.93/1.21 fof(f134,plain,(
% 6.93/1.21 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(doDivides0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2)))))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 6.93/1.21 fof(f135,plain,(
% 6.93/1.21 ![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))))))),
% 6.93/1.21 inference(NNF_transformation,[status(esa)],[f134])).
% 6.93/1.21 fof(f136,plain,(
% 6.93/1.21 ![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))))))),
% 6.93/1.21 inference(skolemization,[status(esa)],[f135])).
% 6.93/1.21 fof(f138,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~doDivides0(X0,X1)|X1=sdtasdt0(X0,sk0_1(X1,X0)))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f136])).
% 6.93/1.21 fof(f139,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|doDivides0(X0,X1)|~aNaturalNumber0(X2)|~X1=sdtasdt0(X0,X2))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f136])).
% 6.93/1.21 fof(f140,plain,(
% 6.93/1.21 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|(![W2]: (W2=sdtsldt0(W1,W0)<=>(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 6.93/1.21 fof(f141,plain,(
% 6.93/1.21 ![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)))))))),
% 6.93/1.21 inference(NNF_transformation,[status(esa)],[f140])).
% 6.93/1.21 fof(f142,plain,(
% 6.93/1.21 ![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)))))))),
% 6.93/1.21 inference(miniscoping,[status(esa)],[f141])).
% 6.93/1.21 fof(f143,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|~X2=sdtsldt0(X1,X0)|aNaturalNumber0(X2))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f142])).
% 6.93/1.21 fof(f144,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|~X2=sdtsldt0(X1,X0)|X1=sdtasdt0(X0,X2))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f142])).
% 6.93/1.21 fof(f145,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|X2=sdtsldt0(X1,X0)|~aNaturalNumber0(X2)|~X1=sdtasdt0(X0,X2))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f142])).
% 6.93/1.21 fof(f146,plain,(
% 6.93/1.21 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~doDivides0(W0,W1)|~doDivides0(W1,W2))|doDivides0(W0,W2)))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f32])).
% 6.93/1.21 fof(f147,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X0,X1)|~doDivides0(X1,X2)|doDivides0(X0,X2))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f146])).
% 6.93/1.21 fof(f156,plain,(
% 6.93/1.21 ![W0]: (~aNaturalNumber0(W0)|(isPrime0(W0)<=>((~W0=sz00&~W0=sz10)&(![W1]: ((~aNaturalNumber0(W1)|~doDivides0(W1,W0))|(W1=sz10|W1=W0))))))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 6.93/1.21 fof(f157,plain,(
% 6.93/1.21 ![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)))))))),
% 6.93/1.21 inference(NNF_transformation,[status(esa)],[f156])).
% 6.93/1.21 fof(f158,plain,(
% 6.93/1.21 ![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))))))),
% 6.93/1.21 inference(skolemization,[status(esa)],[f157])).
% 6.93/1.21 fof(f159,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~isPrime0(X0)|~X0=sz00)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f158])).
% 6.93/1.21 fof(f160,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~isPrime0(X0)|~X0=sz10)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f158])).
% 6.93/1.21 fof(f161,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~isPrime0(X0)|~aNaturalNumber0(X1)|~doDivides0(X1,X0)|X1=sz10|X1=X0)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f158])).
% 6.93/1.21 fof(f171,plain,(
% 6.93/1.21 aNaturalNumber0(xn)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f39])).
% 6.93/1.21 fof(f172,plain,(
% 6.93/1.21 aNaturalNumber0(xm)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f39])).
% 6.93/1.21 fof(f173,plain,(
% 6.93/1.21 aNaturalNumber0(xp)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f39])).
% 6.93/1.21 fof(f176,plain,(
% 6.93/1.21 isPrime0(xp)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f41])).
% 6.93/1.21 fof(f177,plain,(
% 6.93/1.21 doDivides0(xp,sdtasdt0(xn,xm))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f41])).
% 6.93/1.21 fof(f178,plain,(
% 6.93/1.21 ~sdtlseqdt0(xp,xn)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f42])).
% 6.93/1.21 fof(f179,plain,(
% 6.93/1.21 ~sdtlseqdt0(xp,xm)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f43])).
% 6.93/1.21 fof(f181,plain,(
% 6.93/1.21 sdtlseqdt0(xn,xp)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f44])).
% 6.93/1.21 fof(f183,plain,(
% 6.93/1.21 sdtlseqdt0(xm,xp)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f44])).
% 6.93/1.21 fof(f184,plain,(
% 6.93/1.21 xk=sdtsldt0(sdtasdt0(xn,xm),xp)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f45])).
% 6.93/1.21 fof(f190,plain,(
% 6.93/1.21 aNaturalNumber0(xr)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f48])).
% 6.93/1.21 fof(f191,plain,(
% 6.93/1.21 doDivides0(xr,xk)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f48])).
% 6.93/1.21 fof(f192,plain,(
% 6.93/1.21 isPrime0(xr)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f48])).
% 6.93/1.21 fof(f193,plain,(
% 6.93/1.21 sdtlseqdt0(xr,xk)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f49])).
% 6.93/1.21 fof(f194,plain,(
% 6.93/1.21 doDivides0(xr,sdtasdt0(xn,xm))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f49])).
% 6.93/1.21 fof(f195,plain,(
% 6.93/1.21 ~xk=xp),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f50])).
% 6.93/1.21 fof(f196,plain,(
% 6.93/1.21 sdtlseqdt0(xk,xp)),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f50])).
% 6.93/1.21 fof(f197,plain,(
% 6.93/1.21 (sdtpldt0(sdtpldt0(xn,xm),xr)=sdtpldt0(sdtpldt0(xn,xm),xp)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp)))),
% 6.93/1.21 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 6.93/1.21 fof(f198,plain,(
% 6.93/1.21 sdtpldt0(sdtpldt0(xn,xm),xr)=sdtpldt0(sdtpldt0(xn,xm),xp)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))),
% 6.93/1.21 inference(cnf_transformation,[status(esa)],[f197])).
% 6.93/1.21 fof(f199,plain,(
% 6.93/1.21 spl0_0 <=> sdtpldt0(sdtpldt0(xn,xm),xr)=sdtpldt0(sdtpldt0(xn,xm),xp)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f200,plain,(
% 6.93/1.21 sdtpldt0(sdtpldt0(xn,xm),xr)=sdtpldt0(sdtpldt0(xn,xm),xp)|~spl0_0),
% 6.93/1.21 inference(component_clause,[status(thm)],[f199])).
% 6.93/1.21 fof(f202,plain,(
% 6.93/1.21 spl0_1 <=> sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f204,plain,(
% 6.93/1.21 ~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xp))|spl0_1),
% 6.93/1.21 inference(component_clause,[status(thm)],[f202])).
% 6.93/1.21 fof(f205,plain,(
% 6.93/1.21 spl0_0|~spl0_1),
% 6.93/1.21 inference(split_clause,[status(thm)],[f198,f199,f202])).
% 6.93/1.21 fof(f208,plain,(
% 6.93/1.21 spl0_2 <=> aNaturalNumber0(xm)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f210,plain,(
% 6.93/1.21 ~aNaturalNumber0(xm)|spl0_2),
% 6.93/1.21 inference(component_clause,[status(thm)],[f208])).
% 6.93/1.21 fof(f211,plain,(
% 6.93/1.21 spl0_3 <=> aNaturalNumber0(xp)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f213,plain,(
% 6.93/1.21 ~aNaturalNumber0(xp)|spl0_3),
% 6.93/1.21 inference(component_clause,[status(thm)],[f211])).
% 6.93/1.21 fof(f214,plain,(
% 6.93/1.21 spl0_4 <=> sdtlseqdt0(xm,xp)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f217,plain,(
% 6.93/1.21 ~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|sdtlseqdt0(xm,xp)),
% 6.93/1.21 inference(resolution,[status(thm)],[f114,f179])).
% 6.93/1.21 fof(f218,plain,(
% 6.93/1.21 ~spl0_2|~spl0_3|spl0_4),
% 6.93/1.21 inference(split_clause,[status(thm)],[f217,f208,f211,f214])).
% 6.93/1.21 fof(f219,plain,(
% 6.93/1.21 spl0_5 <=> aNaturalNumber0(xn)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f221,plain,(
% 6.93/1.21 ~aNaturalNumber0(xn)|spl0_5),
% 6.93/1.21 inference(component_clause,[status(thm)],[f219])).
% 6.93/1.21 fof(f222,plain,(
% 6.93/1.21 spl0_6 <=> sdtlseqdt0(xn,xp)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f225,plain,(
% 6.93/1.21 ~aNaturalNumber0(xn)|~aNaturalNumber0(xp)|sdtlseqdt0(xn,xp)),
% 6.93/1.21 inference(resolution,[status(thm)],[f114,f178])).
% 6.93/1.21 fof(f226,plain,(
% 6.93/1.21 ~spl0_5|~spl0_3|spl0_6),
% 6.93/1.21 inference(split_clause,[status(thm)],[f225,f219,f211,f222])).
% 6.93/1.21 fof(f227,plain,(
% 6.93/1.21 spl0_7 <=> aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f229,plain,(
% 6.93/1.21 ~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|spl0_7),
% 6.93/1.21 inference(component_clause,[status(thm)],[f227])).
% 6.93/1.21 fof(f230,plain,(
% 6.93/1.21 spl0_8 <=> aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f232,plain,(
% 6.93/1.21 ~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))|spl0_8),
% 6.93/1.21 inference(component_clause,[status(thm)],[f230])).
% 6.93/1.21 fof(f238,plain,(
% 6.93/1.21 $false|spl0_5),
% 6.93/1.21 inference(forward_subsumption_resolution,[status(thm)],[f221,f171])).
% 6.93/1.21 fof(f239,plain,(
% 6.93/1.21 spl0_5),
% 6.93/1.21 inference(contradiction_clause,[status(thm)],[f238])).
% 6.93/1.21 fof(f240,plain,(
% 6.93/1.21 $false|spl0_3),
% 6.93/1.21 inference(forward_subsumption_resolution,[status(thm)],[f213,f173])).
% 6.93/1.21 fof(f241,plain,(
% 6.93/1.21 spl0_3),
% 6.93/1.21 inference(contradiction_clause,[status(thm)],[f240])).
% 6.93/1.21 fof(f242,plain,(
% 6.93/1.21 $false|spl0_2),
% 6.93/1.21 inference(forward_subsumption_resolution,[status(thm)],[f210,f172])).
% 6.93/1.21 fof(f243,plain,(
% 6.93/1.21 spl0_2),
% 6.93/1.21 inference(contradiction_clause,[status(thm)],[f242])).
% 6.93/1.21 fof(f244,plain,(
% 6.93/1.21 spl0_10 <=> aNaturalNumber0(sdtpldt0(xn,xm))),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f246,plain,(
% 6.93/1.21 ~aNaturalNumber0(sdtpldt0(xn,xm))|spl0_10),
% 6.93/1.21 inference(component_clause,[status(thm)],[f244])).
% 6.93/1.21 fof(f247,plain,(
% 6.93/1.21 spl0_11 <=> aNaturalNumber0(xr)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f249,plain,(
% 6.93/1.21 ~aNaturalNumber0(xr)|spl0_11),
% 6.93/1.21 inference(component_clause,[status(thm)],[f247])).
% 6.93/1.21 fof(f250,plain,(
% 6.93/1.21 ~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(xr)|spl0_8),
% 6.93/1.21 inference(resolution,[status(thm)],[f232,f60])).
% 6.93/1.21 fof(f251,plain,(
% 6.93/1.21 ~spl0_10|~spl0_11|spl0_8),
% 6.93/1.21 inference(split_clause,[status(thm)],[f250,f244,f247,f230])).
% 6.93/1.21 fof(f252,plain,(
% 6.93/1.21 $false|spl0_11),
% 6.93/1.21 inference(forward_subsumption_resolution,[status(thm)],[f249,f190])).
% 6.93/1.21 fof(f253,plain,(
% 6.93/1.21 spl0_11),
% 6.93/1.21 inference(contradiction_clause,[status(thm)],[f252])).
% 6.93/1.21 fof(f254,plain,(
% 6.93/1.21 ~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|spl0_10),
% 6.93/1.21 inference(resolution,[status(thm)],[f246,f60])).
% 6.93/1.21 fof(f255,plain,(
% 6.93/1.21 ~spl0_5|~spl0_2|spl0_10),
% 6.93/1.21 inference(split_clause,[status(thm)],[f254,f219,f208,f244])).
% 6.93/1.21 fof(f268,plain,(
% 6.93/1.21 spl0_14 <=> sdtlseqdt0(xp,xm)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f276,plain,(
% 6.93/1.21 spl0_16 <=> sdtlseqdt0(xp,xn)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f288,plain,(
% 6.93/1.21 ~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(xp)|spl0_7),
% 6.93/1.21 inference(resolution,[status(thm)],[f229,f60])).
% 6.93/1.21 fof(f289,plain,(
% 6.93/1.21 ~spl0_10|~spl0_3|spl0_7),
% 6.93/1.21 inference(split_clause,[status(thm)],[f288,f244,f211,f227])).
% 6.93/1.21 fof(f322,plain,(
% 6.93/1.21 spl0_21 <=> sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xp))),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f323,plain,(
% 6.93/1.21 sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xp))|~spl0_21),
% 6.93/1.21 inference(component_clause,[status(thm)],[f322])).
% 6.93/1.21 fof(f324,plain,(
% 6.93/1.21 ~sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(sdtpldt0(xn,xm),xp))|spl0_21),
% 6.93/1.21 inference(component_clause,[status(thm)],[f322])).
% 6.93/1.21 fof(f353,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(X0,X1))|sdtlseqdt0(X0,sdtpldt0(X0,X1))|~aNaturalNumber0(X1))),
% 6.93/1.21 inference(equality_resolution,[status(esa)],[f99])).
% 6.93/1.21 fof(f354,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,sdtpldt0(X0,X1))|~aNaturalNumber0(X1))),
% 6.93/1.21 inference(forward_subsumption_resolution,[status(thm)],[f353,f60])).
% 6.93/1.21 fof(f375,plain,(
% 6.93/1.21 spl0_29 <=> aNaturalNumber0(sdtpldt0(xp,sdtpldt0(xn,xm)))),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f377,plain,(
% 6.93/1.21 ~aNaturalNumber0(sdtpldt0(xp,sdtpldt0(xn,xm)))|spl0_29),
% 6.93/1.21 inference(component_clause,[status(thm)],[f375])).
% 6.93/1.21 fof(f394,plain,(
% 6.93/1.21 ~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(xn,xm))|spl0_29),
% 6.93/1.21 inference(resolution,[status(thm)],[f377,f60])).
% 6.93/1.21 fof(f395,plain,(
% 6.93/1.21 ~spl0_3|~spl0_10|spl0_29),
% 6.93/1.21 inference(split_clause,[status(thm)],[f394,f211,f244,f375])).
% 6.93/1.21 fof(f403,plain,(
% 6.93/1.21 spl0_32 <=> sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f404,plain,(
% 6.93/1.21 sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))|~spl0_32),
% 6.93/1.21 inference(component_clause,[status(thm)],[f403])).
% 6.93/1.21 fof(f405,plain,(
% 6.93/1.21 ~sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))|spl0_32),
% 6.93/1.21 inference(component_clause,[status(thm)],[f403])).
% 6.93/1.21 fof(f428,plain,(
% 6.93/1.21 spl0_36 <=> sdtpldt0(xn,xm)=sdtpldt0(xn,xm)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f456,plain,(
% 6.93/1.21 spl0_40 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|sdtlseqdt0(X0,sdtpldt0(sdtpldt0(xn,xm),xp))),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f457,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|sdtlseqdt0(X0,sdtpldt0(sdtpldt0(xn,xm),xp))|~spl0_40)),
% 6.93/1.21 inference(component_clause,[status(thm)],[f456])).
% 6.93/1.21 fof(f459,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|sdtlseqdt0(X0,sdtpldt0(sdtpldt0(xn,xm),xp))|~spl0_21)),
% 6.93/1.21 inference(resolution,[status(thm)],[f111,f323])).
% 6.93/1.21 fof(f460,plain,(
% 6.93/1.21 spl0_40|~spl0_10|~spl0_7|~spl0_21),
% 6.93/1.21 inference(split_clause,[status(thm)],[f459,f456,f244,f227,f322])).
% 6.93/1.21 fof(f461,plain,(
% 6.93/1.21 spl0_41 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|sdtlseqdt0(X0,xp)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f462,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|sdtlseqdt0(X0,xp)|~spl0_41)),
% 6.93/1.21 inference(component_clause,[status(thm)],[f461])).
% 6.93/1.21 fof(f464,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|~sdtlseqdt0(X0,xm)|sdtlseqdt0(X0,xp))),
% 6.93/1.21 inference(resolution,[status(thm)],[f111,f183])).
% 6.93/1.21 fof(f465,plain,(
% 6.93/1.21 spl0_41|~spl0_2|~spl0_3),
% 6.93/1.21 inference(split_clause,[status(thm)],[f464,f461,f208,f211])).
% 6.93/1.21 fof(f466,plain,(
% 6.93/1.21 spl0_42 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|sdtlseqdt0(X0,xp)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f467,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|sdtlseqdt0(X0,xp)|~spl0_42)),
% 6.93/1.21 inference(component_clause,[status(thm)],[f466])).
% 6.93/1.21 fof(f469,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)|~sdtlseqdt0(X0,xn)|sdtlseqdt0(X0,xp))),
% 6.93/1.21 inference(resolution,[status(thm)],[f111,f181])).
% 6.93/1.21 fof(f470,plain,(
% 6.93/1.21 spl0_42|~spl0_5|~spl0_3),
% 6.93/1.21 inference(split_clause,[status(thm)],[f469,f466,f219,f211])).
% 6.93/1.21 fof(f485,plain,(
% 6.93/1.21 spl0_45 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X0)|~sdtlseqdt0(X0,xm)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f486,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X0)|~sdtlseqdt0(X0,xm)|~spl0_45)),
% 6.93/1.21 inference(component_clause,[status(thm)],[f485])).
% 6.93/1.21 fof(f488,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|~aNaturalNumber0(xm)|~sdtlseqdt0(xp,X0)|~sdtlseqdt0(X0,xm))),
% 6.93/1.21 inference(resolution,[status(thm)],[f111,f179])).
% 6.93/1.21 fof(f489,plain,(
% 6.93/1.21 ~spl0_3|spl0_45|~spl0_2),
% 6.93/1.21 inference(split_clause,[status(thm)],[f488,f211,f485,f208])).
% 6.93/1.21 fof(f490,plain,(
% 6.93/1.21 spl0_46 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X0)|~sdtlseqdt0(X0,xn)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f491,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X0)|~sdtlseqdt0(X0,xn)|~spl0_46)),
% 6.93/1.21 inference(component_clause,[status(thm)],[f490])).
% 6.93/1.21 fof(f493,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|~sdtlseqdt0(xp,X0)|~sdtlseqdt0(X0,xn))),
% 6.93/1.21 inference(resolution,[status(thm)],[f111,f178])).
% 6.93/1.21 fof(f494,plain,(
% 6.93/1.21 ~spl0_3|spl0_46|~spl0_5),
% 6.93/1.21 inference(split_clause,[status(thm)],[f493,f211,f490,f219])).
% 6.93/1.21 fof(f497,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X0)|~sdtlseqdt0(X2,X0)|X2=X0)),
% 6.93/1.21 inference(resolution,[status(thm)],[f111,f109])).
% 6.93/1.21 fof(f498,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|~sdtlseqdt0(X2,X0)|X2=X0)),
% 6.93/1.21 inference(duplicate_literals_removal,[status(esa)],[f497])).
% 6.93/1.21 fof(f514,plain,(
% 6.93/1.21 spl0_48 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),X0)|sdtpldt0(sdtpldt0(xn,xm),xp)=X0),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f517,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),X0)|sdtpldt0(sdtpldt0(xn,xm),xp)=X0|~spl0_21)),
% 6.93/1.21 inference(resolution,[status(thm)],[f498,f323])).
% 6.93/1.21 fof(f518,plain,(
% 6.93/1.21 spl0_48|~spl0_10|~spl0_7|~spl0_21),
% 6.93/1.21 inference(split_clause,[status(thm)],[f517,f514,f244,f227,f322])).
% 6.93/1.21 fof(f524,plain,(
% 6.93/1.21 spl0_50 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|~sdtlseqdt0(xp,X0)|xp=X0),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f527,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)|~sdtlseqdt0(X0,xm)|~sdtlseqdt0(xp,X0)|xp=X0)),
% 6.93/1.21 inference(resolution,[status(thm)],[f498,f183])).
% 6.93/1.21 fof(f528,plain,(
% 6.93/1.21 spl0_50|~spl0_2|~spl0_3),
% 6.93/1.21 inference(split_clause,[status(thm)],[f527,f524,f208,f211])).
% 6.93/1.21 fof(f529,plain,(
% 6.93/1.21 spl0_51 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|~sdtlseqdt0(xp,X0)|xp=X0),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f532,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)|~sdtlseqdt0(X0,xn)|~sdtlseqdt0(xp,X0)|xp=X0)),
% 6.93/1.21 inference(resolution,[status(thm)],[f498,f181])).
% 6.93/1.21 fof(f533,plain,(
% 6.93/1.21 spl0_51|~spl0_5|~spl0_3),
% 6.93/1.21 inference(split_clause,[status(thm)],[f532,f529,f219,f211])).
% 6.93/1.21 fof(f582,plain,(
% 6.93/1.21 spl0_54 <=> xr=xp),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f583,plain,(
% 6.93/1.21 xr=xp|~spl0_54),
% 6.93/1.21 inference(component_clause,[status(thm)],[f582])).
% 6.93/1.21 fof(f585,plain,(
% 6.93/1.21 spl0_55 <=> sdtlseqdt0(xr,xp)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f586,plain,(
% 6.93/1.21 sdtlseqdt0(xr,xp)|~spl0_55),
% 6.93/1.21 inference(component_clause,[status(thm)],[f585])).
% 6.93/1.21 fof(f587,plain,(
% 6.93/1.21 ~sdtlseqdt0(xr,xp)|spl0_55),
% 6.93/1.21 inference(component_clause,[status(thm)],[f585])).
% 6.93/1.21 fof(f588,plain,(
% 6.93/1.21 ~aNaturalNumber0(xr)|~aNaturalNumber0(xp)|xr=xp|~sdtlseqdt0(xr,xp)|~aNaturalNumber0(sdtpldt0(xn,xm))|spl0_1),
% 6.93/1.21 inference(resolution,[status(thm)],[f117,f204])).
% 6.93/1.21 fof(f589,plain,(
% 6.93/1.21 ~spl0_11|~spl0_3|spl0_54|~spl0_55|~spl0_10|spl0_1),
% 6.93/1.21 inference(split_clause,[status(thm)],[f588,f247,f211,f582,f585,f244,f202])).
% 6.93/1.21 fof(f598,plain,(
% 6.93/1.21 spl0_56 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(xr,X0)|~sdtlseqdt0(X0,xp)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f599,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(xr,X0)|~sdtlseqdt0(X0,xp)|~spl0_56)),
% 6.93/1.21 inference(component_clause,[status(thm)],[f598])).
% 6.93/1.21 fof(f601,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(xr)|~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~sdtlseqdt0(xr,X0)|~sdtlseqdt0(X0,xp)|spl0_55)),
% 6.93/1.21 inference(resolution,[status(thm)],[f587,f111])).
% 6.93/1.21 fof(f602,plain,(
% 6.93/1.21 ~spl0_11|spl0_56|~spl0_3|spl0_55),
% 6.93/1.21 inference(split_clause,[status(thm)],[f601,f247,f598,f211,f585])).
% 6.93/1.21 fof(f603,plain,(
% 6.93/1.21 spl0_57 <=> sdtlseqdt0(xp,xr)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f604,plain,(
% 6.93/1.21 sdtlseqdt0(xp,xr)|~spl0_57),
% 6.93/1.21 inference(component_clause,[status(thm)],[f603])).
% 6.93/1.21 fof(f605,plain,(
% 6.93/1.21 ~sdtlseqdt0(xp,xr)|spl0_57),
% 6.93/1.21 inference(component_clause,[status(thm)],[f603])).
% 6.93/1.21 fof(f615,plain,(
% 6.93/1.21 spl0_59 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xp)|sdtlseqdt0(X0,xr)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f616,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xp)|sdtlseqdt0(X0,xr)|~spl0_59)),
% 6.93/1.21 inference(component_clause,[status(thm)],[f615])).
% 6.93/1.21 fof(f618,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~aNaturalNumber0(xr)|~sdtlseqdt0(X0,xp)|sdtlseqdt0(X0,xr)|~spl0_57)),
% 6.93/1.21 inference(resolution,[status(thm)],[f604,f111])).
% 6.93/1.21 fof(f619,plain,(
% 6.93/1.21 spl0_59|~spl0_3|~spl0_11|~spl0_57),
% 6.93/1.21 inference(split_clause,[status(thm)],[f618,f615,f211,f247,f603])).
% 6.93/1.21 fof(f663,plain,(
% 6.93/1.21 spl0_60 <=> aNaturalNumber0(xk)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f666,plain,(
% 6.93/1.21 spl0_61 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(xk,X0)|~sdtlseqdt0(X0,xr)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f669,plain,(
% 6.93/1.21 spl0_62 <=> xr=xk),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f670,plain,(
% 6.93/1.21 xr=xk|~spl0_62),
% 6.93/1.21 inference(component_clause,[status(thm)],[f669])).
% 6.93/1.21 fof(f672,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(xk)|~aNaturalNumber0(X0)|~aNaturalNumber0(xr)|~sdtlseqdt0(xk,X0)|~sdtlseqdt0(X0,xr)|xr=xk)),
% 6.93/1.21 inference(resolution,[status(thm)],[f193,f498])).
% 6.93/1.21 fof(f673,plain,(
% 6.93/1.21 ~spl0_60|spl0_61|~spl0_11|spl0_62),
% 6.93/1.21 inference(split_clause,[status(thm)],[f672,f663,f666,f247,f669])).
% 6.93/1.21 fof(f674,plain,(
% 6.93/1.21 spl0_63 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xr)|~sdtlseqdt0(xk,X0)|xk=X0),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f677,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xr)|~aNaturalNumber0(xk)|~sdtlseqdt0(X0,xr)|~sdtlseqdt0(xk,X0)|xk=X0)),
% 6.93/1.21 inference(resolution,[status(thm)],[f193,f498])).
% 6.93/1.21 fof(f678,plain,(
% 6.93/1.21 spl0_63|~spl0_11|~spl0_60),
% 6.93/1.21 inference(split_clause,[status(thm)],[f677,f674,f247,f663])).
% 6.93/1.21 fof(f679,plain,(
% 6.93/1.21 spl0_64 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xr)|sdtlseqdt0(X0,xk)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f682,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xr)|~aNaturalNumber0(xk)|~sdtlseqdt0(X0,xr)|sdtlseqdt0(X0,xk))),
% 6.93/1.21 inference(resolution,[status(thm)],[f193,f111])).
% 6.93/1.21 fof(f683,plain,(
% 6.93/1.21 spl0_64|~spl0_11|~spl0_60),
% 6.93/1.21 inference(split_clause,[status(thm)],[f682,f679,f247,f663])).
% 6.93/1.21 fof(f684,plain,(
% 6.93/1.21 spl0_65 <=> sdtlseqdt0(xk,xr)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f686,plain,(
% 6.93/1.21 ~sdtlseqdt0(xk,xr)|spl0_65),
% 6.93/1.21 inference(component_clause,[status(thm)],[f684])).
% 6.93/1.21 fof(f687,plain,(
% 6.93/1.21 ~aNaturalNumber0(xk)|~aNaturalNumber0(xr)|~sdtlseqdt0(xk,xr)|xk=xr),
% 6.93/1.21 inference(resolution,[status(thm)],[f193,f109])).
% 6.93/1.21 fof(f688,plain,(
% 6.93/1.21 ~spl0_60|~spl0_11|~spl0_65|spl0_62),
% 6.93/1.21 inference(split_clause,[status(thm)],[f687,f663,f247,f684,f669])).
% 6.93/1.21 fof(f718,plain,(
% 6.93/1.21 spl0_67 <=> sdtlseqdt0(xp,xp)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f719,plain,(
% 6.93/1.21 sdtlseqdt0(xp,xp)|~spl0_67),
% 6.93/1.21 inference(component_clause,[status(thm)],[f718])).
% 6.93/1.21 fof(f720,plain,(
% 6.93/1.21 ~sdtlseqdt0(xp,xp)|spl0_67),
% 6.93/1.21 inference(component_clause,[status(thm)],[f718])).
% 6.93/1.21 fof(f721,plain,(
% 6.93/1.21 spl0_68 <=> xp=xp),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f726,plain,(
% 6.93/1.21 spl0_69 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X1)|~sdtlseqdt0(X1,X0)|X0=xp),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f729,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X1)|~sdtlseqdt0(X1,X0)|X0=xp|~spl0_42)),
% 6.93/1.21 inference(resolution,[status(thm)],[f467,f498])).
% 6.93/1.21 fof(f730,plain,(
% 6.93/1.21 spl0_69|~spl0_3|~spl0_42),
% 6.93/1.21 inference(split_clause,[status(thm)],[f729,f726,f211,f466])).
% 6.93/1.21 fof(f733,plain,(
% 6.93/1.21 spl0_70 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,X0)|~sdtlseqdt0(xp,X1)|xp=X1),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f736,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~sdtlseqdt0(X1,X0)|~sdtlseqdt0(xp,X1)|xp=X1|~spl0_42)),
% 6.93/1.21 inference(resolution,[status(thm)],[f467,f498])).
% 6.93/1.21 fof(f737,plain,(
% 6.93/1.21 spl0_70|~spl0_3|~spl0_42),
% 6.93/1.21 inference(split_clause,[status(thm)],[f736,f733,f211,f466])).
% 6.93/1.21 fof(f738,plain,(
% 6.93/1.21 spl0_71 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,X0)|sdtlseqdt0(X1,xp)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f741,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~sdtlseqdt0(X1,X0)|sdtlseqdt0(X1,xp)|~spl0_42)),
% 6.93/1.21 inference(resolution,[status(thm)],[f467,f111])).
% 6.93/1.21 fof(f742,plain,(
% 6.93/1.21 spl0_71|~spl0_3|~spl0_42),
% 6.93/1.21 inference(split_clause,[status(thm)],[f741,f738,f211,f466])).
% 6.93/1.21 fof(f743,plain,(
% 6.93/1.21 spl0_72 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X0)|xp=X0),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f746,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X0)|xp=X0|~spl0_42)),
% 6.93/1.21 inference(resolution,[status(thm)],[f467,f109])).
% 6.93/1.21 fof(f747,plain,(
% 6.93/1.21 spl0_72|~spl0_3|~spl0_42),
% 6.93/1.21 inference(split_clause,[status(thm)],[f746,f743,f211,f466])).
% 6.93/1.21 fof(f790,plain,(
% 6.93/1.21 spl0_79 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xr)|~sdtlseqdt0(xp,X0)|xp=X0),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f793,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xr)|~aNaturalNumber0(xp)|~sdtlseqdt0(X0,xr)|~sdtlseqdt0(xp,X0)|xp=X0|~spl0_55)),
% 6.93/1.21 inference(resolution,[status(thm)],[f586,f498])).
% 6.93/1.21 fof(f794,plain,(
% 6.93/1.21 spl0_79|~spl0_11|~spl0_3|~spl0_55),
% 6.93/1.21 inference(split_clause,[status(thm)],[f793,f790,f247,f211,f585])).
% 6.93/1.21 fof(f795,plain,(
% 6.93/1.21 spl0_80 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xr)|sdtlseqdt0(X0,xp)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f798,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xr)|~aNaturalNumber0(xp)|~sdtlseqdt0(X0,xr)|sdtlseqdt0(X0,xp)|~spl0_55)),
% 6.93/1.21 inference(resolution,[status(thm)],[f586,f111])).
% 6.93/1.21 fof(f799,plain,(
% 6.93/1.21 spl0_80|~spl0_11|~spl0_3|~spl0_55),
% 6.93/1.21 inference(split_clause,[status(thm)],[f798,f795,f247,f211,f585])).
% 6.93/1.21 fof(f822,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),X2))|sdtlseqdt0(X0,sdtpldt0(sdtpldt0(X0,X1),X2))|~aNaturalNumber0(sdtpldt0(X1,X2)))),
% 6.93/1.21 inference(resolution,[status(thm)],[f66,f99])).
% 6.93/1.21 fof(f823,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),X2))|sdtlseqdt0(X0,sdtpldt0(sdtpldt0(X0,X1),X2))|~aNaturalNumber0(sdtpldt0(X1,X2)))),
% 6.93/1.21 inference(duplicate_literals_removal,[status(esa)],[f822])).
% 6.93/1.21 fof(f824,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),X2))|sdtlseqdt0(X0,sdtpldt0(sdtpldt0(X0,X1),X2)))),
% 6.93/1.21 inference(forward_subsumption_resolution,[status(thm)],[f823,f60])).
% 6.93/1.21 fof(f825,plain,(
% 6.93/1.21 spl0_84 <=> ~aNaturalNumber0(X0)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f826,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~spl0_84)),
% 6.93/1.21 inference(component_clause,[status(thm)],[f825])).
% 6.93/1.21 fof(f828,plain,(
% 6.93/1.21 spl0_85 <=> ~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X1=X1),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f835,plain,(
% 6.93/1.21 spl0_86 <=> ~aNaturalNumber0(X0)|X0=sz00),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f836,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|~spl0_86)),
% 6.93/1.21 inference(component_clause,[status(thm)],[f835])).
% 6.93/1.21 fof(f838,plain,(
% 6.93/1.21 spl0_87 <=> ~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X1=X1|~sdtlseqdt0(X1,X1)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f841,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X0=sz00|X1=X1|~sdtlseqdt0(X1,X1))),
% 6.93/1.21 inference(equality_resolution,[status(esa)],[f121])).
% 6.93/1.21 fof(f842,plain,(
% 6.93/1.21 spl0_86|spl0_87),
% 6.93/1.21 inference(split_clause,[status(thm)],[f841,f835,f838])).
% 6.93/1.21 fof(f851,plain,(
% 6.93/1.21 $false|~spl0_84),
% 6.93/1.21 inference(backward_subsumption_resolution,[status(thm)],[f190,f826])).
% 6.93/1.21 fof(f852,plain,(
% 6.93/1.21 ~spl0_84),
% 6.93/1.21 inference(contradiction_clause,[status(thm)],[f851])).
% 6.93/1.21 fof(f853,plain,(
% 6.93/1.21 spl0_88 <=> xp=sz10),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f858,plain,(
% 6.93/1.21 spl0_89 <=> xr=sz10),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f861,plain,(
% 6.93/1.21 ~aNaturalNumber0(xr)|~xr=sz10),
% 6.93/1.21 inference(resolution,[status(thm)],[f160,f192])).
% 6.93/1.21 fof(f862,plain,(
% 6.93/1.21 ~spl0_11|~spl0_89),
% 6.93/1.21 inference(split_clause,[status(thm)],[f861,f247,f858])).
% 6.93/1.21 fof(f889,plain,(
% 6.93/1.21 spl0_90 <=> aNaturalNumber0(sdtasdt0(xn,xm))),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f891,plain,(
% 6.93/1.21 ~aNaturalNumber0(sdtasdt0(xn,xm))|spl0_90),
% 6.93/1.21 inference(component_clause,[status(thm)],[f889])).
% 6.93/1.21 fof(f892,plain,(
% 6.93/1.21 spl0_91 <=> isPrime0(sdtasdt0(xn,xm))),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f895,plain,(
% 6.93/1.21 spl0_92 <=> xp=sdtasdt0(xn,xm)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f898,plain,(
% 6.93/1.21 ~aNaturalNumber0(sdtasdt0(xn,xm))|~isPrime0(sdtasdt0(xn,xm))|~aNaturalNumber0(xp)|xp=sz10|xp=sdtasdt0(xn,xm)),
% 6.93/1.21 inference(resolution,[status(thm)],[f161,f177])).
% 6.93/1.21 fof(f899,plain,(
% 6.93/1.21 ~spl0_90|~spl0_91|~spl0_3|spl0_88|spl0_92),
% 6.93/1.21 inference(split_clause,[status(thm)],[f898,f889,f892,f211,f853,f895])).
% 6.93/1.21 fof(f900,plain,(
% 6.93/1.21 spl0_93 <=> xr=sdtasdt0(xn,xm)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f903,plain,(
% 6.93/1.21 ~aNaturalNumber0(sdtasdt0(xn,xm))|~isPrime0(sdtasdt0(xn,xm))|~aNaturalNumber0(xr)|xr=sz10|xr=sdtasdt0(xn,xm)),
% 6.93/1.21 inference(resolution,[status(thm)],[f161,f194])).
% 6.93/1.21 fof(f904,plain,(
% 6.93/1.21 ~spl0_90|~spl0_91|~spl0_11|spl0_89|spl0_93),
% 6.93/1.21 inference(split_clause,[status(thm)],[f903,f889,f892,f247,f858,f900])).
% 6.93/1.21 fof(f905,plain,(
% 6.93/1.21 spl0_94 <=> isPrime0(xk)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f908,plain,(
% 6.93/1.21 ~aNaturalNumber0(xk)|~isPrime0(xk)|~aNaturalNumber0(xr)|xr=sz10|xr=xk),
% 6.93/1.21 inference(resolution,[status(thm)],[f161,f191])).
% 6.93/1.21 fof(f909,plain,(
% 6.93/1.21 ~spl0_60|~spl0_94|~spl0_11|spl0_89|spl0_62),
% 6.93/1.21 inference(split_clause,[status(thm)],[f908,f663,f905,f247,f858,f669])).
% 6.93/1.21 fof(f910,plain,(
% 6.93/1.21 ~aNaturalNumber0(xp)|~aNaturalNumber0(xp)|sdtlseqdt0(xp,xp)|spl0_67),
% 6.93/1.21 inference(resolution,[status(thm)],[f720,f114])).
% 6.93/1.21 fof(f911,plain,(
% 6.93/1.21 ~spl0_3|spl0_67),
% 6.93/1.21 inference(split_clause,[status(thm)],[f910,f211,f718])).
% 6.93/1.21 fof(f914,plain,(
% 6.93/1.21 ~aNaturalNumber0(xp)|~aNaturalNumber0(xp)|~sdtlseqdt0(xp,xp)|xp=xp|~spl0_67),
% 6.93/1.21 inference(resolution,[status(thm)],[f719,f109])).
% 6.93/1.21 fof(f915,plain,(
% 6.93/1.21 ~spl0_3|~spl0_67|spl0_68),
% 6.93/1.21 inference(split_clause,[status(thm)],[f914,f211,f718,f721])).
% 6.93/1.21 fof(f927,plain,(
% 6.93/1.21 spl0_96 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xp)|sdtlseqdt0(X0,xp)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f930,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~aNaturalNumber0(xp)|~sdtlseqdt0(X0,xp)|sdtlseqdt0(X0,xp)|~spl0_67)),
% 6.93/1.21 inference(resolution,[status(thm)],[f111,f719])).
% 6.93/1.21 fof(f931,plain,(
% 6.93/1.21 spl0_96|~spl0_3|~spl0_67),
% 6.93/1.21 inference(split_clause,[status(thm)],[f930,f927,f211,f718])).
% 6.93/1.21 fof(f971,plain,(
% 6.93/1.21 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X2=sdtmndt0(X1,X0)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X2)=X1)),
% 6.93/1.21 inference(forward_subsumption_resolution,[status(thm)],[f105,f99])).
% 6.93/1.21 fof(f977,plain,(
% 6.93/1.21 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X2,X3))|~sdtpldt0(X0,sdtpldt0(X2,X3))=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtmndt0(X1,X0))|sdtlseqdt0(X2,sdtmndt0(X1,X0))|~aNaturalNumber0(X3))),
% 6.93/1.21 inference(resolution,[status(thm)],[f971,f99])).
% 6.93/1.21 fof(f978,plain,(
% 6.93/1.21 ![X0,X1,X2,X3]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtpldt0(X0,sdtpldt0(X2,X3))=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtmndt0(X1,X0))|sdtlseqdt0(X2,sdtmndt0(X1,X0))|~aNaturalNumber0(X3))),
% 6.93/1.21 inference(forward_subsumption_resolution,[status(thm)],[f977,f60])).
% 6.93/1.21 fof(f982,plain,(
% 6.93/1.21 spl0_99 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xp)|~sdtlseqdt0(xp,X0)|xp=X0),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f985,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~aNaturalNumber0(xp)|~sdtlseqdt0(X0,xp)|~sdtlseqdt0(xp,X0)|xp=X0|~spl0_67)),
% 6.93/1.21 inference(resolution,[status(thm)],[f498,f719])).
% 6.93/1.21 fof(f986,plain,(
% 6.93/1.21 spl0_99|~spl0_3|~spl0_67),
% 6.93/1.21 inference(split_clause,[status(thm)],[f985,f982,f211,f718])).
% 6.93/1.21 fof(f1127,plain,(
% 6.93/1.21 spl0_109 <=> aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xn))),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f1129,plain,(
% 6.93/1.21 ~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xn))|spl0_109),
% 6.93/1.21 inference(component_clause,[status(thm)],[f1127])).
% 6.93/1.21 fof(f1153,plain,(
% 6.93/1.21 ~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(xn)|spl0_109),
% 6.93/1.21 inference(resolution,[status(thm)],[f1129,f60])).
% 6.93/1.21 fof(f1154,plain,(
% 6.93/1.21 ~spl0_10|~spl0_5|spl0_109),
% 6.93/1.21 inference(split_clause,[status(thm)],[f1153,f244,f219,f1127])).
% 6.93/1.21 fof(f1231,plain,(
% 6.93/1.21 ~sdtlseqdt0(xp,xp)|~spl0_54|spl0_57),
% 6.93/1.21 inference(backward_demodulation,[status(thm)],[f583,f605])).
% 6.93/1.21 fof(f1232,plain,(
% 6.93/1.21 ~spl0_67|~spl0_54|spl0_57),
% 6.93/1.21 inference(split_clause,[status(thm)],[f1231,f718,f582,f603])).
% 6.93/1.21 fof(f1243,plain,(
% 6.93/1.21 spl0_119 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|sdtlseqdt0(X0,X0)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f1246,plain,(
% 6.93/1.21 spl0_120 <=> aNaturalNumber0(sz00)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f1248,plain,(
% 6.93/1.21 ~aNaturalNumber0(sz00)|spl0_120),
% 6.93/1.21 inference(component_clause,[status(thm)],[f1246])).
% 6.93/1.21 fof(f1249,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|sdtlseqdt0(X0,X0)|~aNaturalNumber0(sz00))),
% 6.93/1.21 inference(resolution,[status(thm)],[f68,f99])).
% 6.93/1.21 fof(f1250,plain,(
% 6.93/1.21 spl0_119|~spl0_120),
% 6.93/1.21 inference(split_clause,[status(thm)],[f1249,f1243,f1246])).
% 6.93/1.21 fof(f1252,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(X0,X1))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|sdtlseqdt0(X0,sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X1))),
% 6.93/1.21 inference(resolution,[status(thm)],[f68,f99])).
% 6.93/1.21 fof(f1253,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|sdtlseqdt0(X0,sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X1))),
% 6.93/1.21 inference(forward_subsumption_resolution,[status(thm)],[f1252,f60])).
% 6.93/1.21 fof(f1254,plain,(
% 6.93/1.21 $false|spl0_120),
% 6.93/1.21 inference(forward_subsumption_resolution,[status(thm)],[f1248,f56])).
% 6.93/1.21 fof(f1255,plain,(
% 6.93/1.21 spl0_120),
% 6.93/1.21 inference(contradiction_clause,[status(thm)],[f1254])).
% 6.93/1.21 fof(f1257,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(X0,X1))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|sdtlseqdt0(X0,sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X1))),
% 6.93/1.21 inference(resolution,[status(thm)],[f69,f99])).
% 6.93/1.21 fof(f1258,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|sdtlseqdt0(X0,sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X1))),
% 6.93/1.21 inference(forward_subsumption_resolution,[status(thm)],[f1257,f60])).
% 6.93/1.21 fof(f1259,plain,(
% 6.93/1.21 spl0_121 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|~aNaturalNumber0(X0)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f1260,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|~aNaturalNumber0(X0)|~spl0_121)),
% 6.93/1.21 inference(component_clause,[status(thm)],[f1259])).
% 6.93/1.21 fof(f1262,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|~aNaturalNumber0(X0))),
% 6.93/1.21 inference(resolution,[status(thm)],[f69,f99])).
% 6.93/1.21 fof(f1263,plain,(
% 6.93/1.21 spl0_121|~spl0_120),
% 6.93/1.21 inference(split_clause,[status(thm)],[f1262,f1259,f1246])).
% 6.93/1.21 fof(f1265,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|~spl0_121)),
% 6.93/1.21 inference(duplicate_literals_removal,[status(esa)],[f1260])).
% 6.93/1.21 fof(f1276,plain,(
% 6.93/1.21 spl0_122 <=> aNaturalNumber0(sz10)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f1278,plain,(
% 6.93/1.21 ~aNaturalNumber0(sz10)|spl0_122),
% 6.93/1.21 inference(component_clause,[status(thm)],[f1276])).
% 6.93/1.21 fof(f1279,plain,(
% 6.93/1.21 spl0_123 <=> sz10=sz00),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f1280,plain,(
% 6.93/1.21 sz10=sz00|~spl0_123),
% 6.93/1.21 inference(component_clause,[status(thm)],[f1279])).
% 6.93/1.21 fof(f1282,plain,(
% 6.93/1.21 spl0_124 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(sz10,X0))|X0=sdtasdt0(sz10,X0)|~aNaturalNumber0(sdtasdt0(sz10,X0))),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f1285,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(sz10)|sz10=sz00|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(sz10,X0))|X0=sdtasdt0(sz10,X0)|~aNaturalNumber0(sdtasdt0(sz10,X0)))),
% 6.93/1.21 inference(resolution,[status(thm)],[f87,f76])).
% 6.93/1.21 fof(f1286,plain,(
% 6.93/1.21 ~spl0_122|spl0_123|spl0_124),
% 6.93/1.21 inference(split_clause,[status(thm)],[f1285,f1276,f1279,f1282])).
% 6.93/1.21 fof(f1289,plain,(
% 6.93/1.21 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X1=X1)),
% 6.93/1.21 inference(equality_resolution,[status(esa)],[f87])).
% 6.93/1.21 fof(f1290,plain,(
% 6.93/1.21 spl0_86|spl0_85),
% 6.93/1.21 inference(split_clause,[status(thm)],[f1289,f835,f828])).
% 6.93/1.21 fof(f1291,plain,(
% 6.93/1.21 $false|spl0_122),
% 6.93/1.21 inference(forward_subsumption_resolution,[status(thm)],[f1278,f57])).
% 6.93/1.21 fof(f1292,plain,(
% 6.93/1.21 spl0_122),
% 6.93/1.21 inference(contradiction_clause,[status(thm)],[f1291])).
% 6.93/1.21 fof(f1293,plain,(
% 6.93/1.21 $false|~spl0_123),
% 6.93/1.21 inference(forward_subsumption_resolution,[status(thm)],[f1280,f58])).
% 6.93/1.21 fof(f1294,plain,(
% 6.93/1.21 ~spl0_123),
% 6.93/1.21 inference(contradiction_clause,[status(thm)],[f1293])).
% 6.93/1.21 fof(f1296,plain,(
% 6.93/1.21 spl0_125 <=> ~aNaturalNumber0(sdtasdt0(X0,sz10))|~aNaturalNumber0(X0)|sdtasdt0(X0,sz10)=X0|~aNaturalNumber0(sdtasdt0(X0,sz10))),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f1299,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(sz10)|sz10=sz00|~aNaturalNumber0(sdtasdt0(X0,sz10))|~aNaturalNumber0(X0)|sdtasdt0(X0,sz10)=X0|~aNaturalNumber0(sdtasdt0(X0,sz10)))),
% 6.93/1.21 inference(resolution,[status(thm)],[f88,f75])).
% 6.93/1.21 fof(f1300,plain,(
% 6.93/1.21 ~spl0_122|spl0_123|spl0_125),
% 6.93/1.21 inference(split_clause,[status(thm)],[f1299,f1276,f1279,f1296])).
% 6.93/1.21 fof(f1306,plain,(
% 6.93/1.21 spl0_126 <=> sz00=sz00),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f1309,plain,(
% 6.93/1.21 ~aNaturalNumber0(sz00)|~aNaturalNumber0(sz00)|sz00=sz00|~aNaturalNumber0(sz00)),
% 6.93/1.21 inference(resolution,[status(thm)],[f90,f68])).
% 6.93/1.21 fof(f1310,plain,(
% 6.93/1.21 ~spl0_120|spl0_126),
% 6.93/1.21 inference(split_clause,[status(thm)],[f1309,f1246,f1306])).
% 6.93/1.21 fof(f1311,plain,(
% 6.93/1.21 spl0_127 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_0(sz00,X0))|X0=sz00|~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f1314,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_0(sz00,X0))|X0=sz00|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00))),
% 6.93/1.21 inference(resolution,[status(thm)],[f90,f98])).
% 6.93/1.21 fof(f1315,plain,(
% 6.93/1.21 spl0_127|~spl0_120),
% 6.93/1.21 inference(split_clause,[status(thm)],[f1314,f1311,f1246])).
% 6.93/1.21 fof(f1321,plain,(
% 6.93/1.21 spl0_128 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_0(sz00,X0))|sk0_0(sz00,X0)=sz00|~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f1324,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_0(sz00,X0))|sk0_0(sz00,X0)=sz00|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00))),
% 6.93/1.21 inference(resolution,[status(thm)],[f91,f98])).
% 6.93/1.21 fof(f1325,plain,(
% 6.93/1.21 spl0_128|~spl0_120),
% 6.93/1.21 inference(split_clause,[status(thm)],[f1324,f1321,f1246])).
% 6.93/1.21 fof(f1457,plain,(
% 6.93/1.21 spl0_142 <=> sdtlseqdt0(xr,xr)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f1458,plain,(
% 6.93/1.21 sdtlseqdt0(xr,xr)|~spl0_142),
% 6.93/1.21 inference(component_clause,[status(thm)],[f1457])).
% 6.93/1.21 fof(f1459,plain,(
% 6.93/1.21 ~sdtlseqdt0(xr,xr)|spl0_142),
% 6.93/1.21 inference(component_clause,[status(thm)],[f1457])).
% 6.93/1.21 fof(f1460,plain,(
% 6.93/1.21 spl0_143 <=> xr=xr),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f1497,plain,(
% 6.93/1.21 ~aNaturalNumber0(xr)|~aNaturalNumber0(xr)|sdtlseqdt0(xr,xr)|spl0_142),
% 6.93/1.21 inference(resolution,[status(thm)],[f1459,f114])).
% 6.93/1.21 fof(f1498,plain,(
% 6.93/1.21 ~spl0_11|spl0_142),
% 6.93/1.21 inference(split_clause,[status(thm)],[f1497,f247,f1457])).
% 6.93/1.21 fof(f1503,plain,(
% 6.93/1.21 ~aNaturalNumber0(xr)|~aNaturalNumber0(xr)|~aNaturalNumber0(xr)|~sdtlseqdt0(xr,xr)|xr=xr|~spl0_142),
% 6.93/1.21 inference(resolution,[status(thm)],[f1458,f498])).
% 6.93/1.21 fof(f1504,plain,(
% 6.93/1.21 ~spl0_11|~spl0_142|spl0_143),
% 6.93/1.21 inference(split_clause,[status(thm)],[f1503,f247,f1457,f1460])).
% 6.93/1.21 fof(f1509,plain,(
% 6.93/1.21 spl0_149 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xr)|~sdtlseqdt0(xr,X0)|xr=X0),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f1512,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xr)|~aNaturalNumber0(xr)|~sdtlseqdt0(X0,xr)|~sdtlseqdt0(xr,X0)|xr=X0|~spl0_142)),
% 6.93/1.21 inference(resolution,[status(thm)],[f1458,f498])).
% 6.93/1.21 fof(f1513,plain,(
% 6.93/1.21 spl0_149|~spl0_11|~spl0_142),
% 6.93/1.21 inference(split_clause,[status(thm)],[f1512,f1509,f247,f1457])).
% 6.93/1.21 fof(f1514,plain,(
% 6.93/1.21 spl0_150 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xr)|sdtlseqdt0(X0,xr)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f1517,plain,(
% 6.93/1.21 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xr)|~aNaturalNumber0(xr)|~sdtlseqdt0(X0,xr)|sdtlseqdt0(X0,xr)|~spl0_142)),
% 6.93/1.21 inference(resolution,[status(thm)],[f1458,f111])).
% 6.93/1.21 fof(f1518,plain,(
% 6.93/1.21 spl0_150|~spl0_11|~spl0_142),
% 6.93/1.21 inference(split_clause,[status(thm)],[f1517,f1514,f247,f1457])).
% 6.93/1.21 fof(f1670,plain,(
% 6.93/1.21 spl0_174 <=> sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xr))),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.21 fof(f1671,plain,(
% 6.93/1.21 sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xr))|~spl0_174),
% 6.93/1.21 inference(component_clause,[status(thm)],[f1670])).
% 6.93/1.21 fof(f1672,plain,(
% 6.93/1.21 ~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xr))|spl0_174),
% 6.93/1.21 inference(component_clause,[status(thm)],[f1670])).
% 6.93/1.21 fof(f1673,plain,(
% 6.93/1.21 spl0_175 <=> sdtpldt0(sdtpldt0(xn,xm),xr)=sdtpldt0(sdtpldt0(xn,xm),xr)),
% 6.93/1.21 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f1724,plain,(
% 6.93/1.22 spl0_183 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),X1)|~sdtlseqdt0(X1,X0)|X0=sdtpldt0(sdtpldt0(xn,xm),xp)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f1727,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),X1)|~sdtlseqdt0(X1,X0)|X0=sdtpldt0(sdtpldt0(xn,xm),xp)|~spl0_40)),
% 6.93/1.22 inference(resolution,[status(thm)],[f457,f498])).
% 6.93/1.22 fof(f1728,plain,(
% 6.93/1.22 spl0_183|~spl0_7|~spl0_40),
% 6.93/1.22 inference(split_clause,[status(thm)],[f1727,f1724,f227,f456])).
% 6.93/1.22 fof(f1731,plain,(
% 6.93/1.22 spl0_184 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,X0)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),X1)|sdtpldt0(sdtpldt0(xn,xm),xp)=X1),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f1734,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|~sdtlseqdt0(X1,X0)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),X1)|sdtpldt0(sdtpldt0(xn,xm),xp)=X1|~spl0_40)),
% 6.93/1.22 inference(resolution,[status(thm)],[f457,f498])).
% 6.93/1.22 fof(f1735,plain,(
% 6.93/1.22 spl0_184|~spl0_7|~spl0_40),
% 6.93/1.22 inference(split_clause,[status(thm)],[f1734,f1731,f227,f456])).
% 6.93/1.22 fof(f1736,plain,(
% 6.93/1.22 spl0_185 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,X0)|sdtlseqdt0(X1,sdtpldt0(sdtpldt0(xn,xm),xp))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f1739,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|~sdtlseqdt0(X1,X0)|sdtlseqdt0(X1,sdtpldt0(sdtpldt0(xn,xm),xp))|~spl0_40)),
% 6.93/1.22 inference(resolution,[status(thm)],[f457,f111])).
% 6.93/1.22 fof(f1740,plain,(
% 6.93/1.22 spl0_185|~spl0_7|~spl0_40),
% 6.93/1.22 inference(split_clause,[status(thm)],[f1739,f1736,f227,f456])).
% 6.93/1.22 fof(f1741,plain,(
% 6.93/1.22 spl0_186 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|~aNaturalNumber0(X0)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),X0)|sdtpldt0(sdtpldt0(xn,xm),xp)=X0),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f1744,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(X0)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xp),X0)|sdtpldt0(sdtpldt0(xn,xm),xp)=X0|~spl0_40)),
% 6.93/1.22 inference(resolution,[status(thm)],[f457,f109])).
% 6.93/1.22 fof(f1745,plain,(
% 6.93/1.22 spl0_186|~spl0_7|~spl0_40),
% 6.93/1.22 inference(split_clause,[status(thm)],[f1744,f1741,f227,f456])).
% 6.93/1.22 fof(f1775,plain,(
% 6.93/1.22 ~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))|sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xr))|spl0_174),
% 6.93/1.22 inference(resolution,[status(thm)],[f1672,f114])).
% 6.93/1.22 fof(f1776,plain,(
% 6.93/1.22 ~spl0_8|spl0_174),
% 6.93/1.22 inference(split_clause,[status(thm)],[f1775,f230,f1670])).
% 6.93/1.22 fof(f1781,plain,(
% 6.93/1.22 ~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),sdtpldt0(sdtpldt0(xn,xm),xr))|sdtpldt0(sdtpldt0(xn,xm),xr)=sdtpldt0(sdtpldt0(xn,xm),xr)|~spl0_174),
% 6.93/1.22 inference(resolution,[status(thm)],[f1671,f498])).
% 6.93/1.22 fof(f1782,plain,(
% 6.93/1.22 ~spl0_8|~spl0_174|spl0_175),
% 6.93/1.22 inference(split_clause,[status(thm)],[f1781,f230,f1670,f1673])).
% 6.93/1.22 fof(f1787,plain,(
% 6.93/1.22 spl0_190 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtpldt0(sdtpldt0(xn,xm),xr))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),X0)|sdtpldt0(sdtpldt0(xn,xm),xr)=X0),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f1790,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))|~sdtlseqdt0(X0,sdtpldt0(sdtpldt0(xn,xm),xr))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xn,xm),xr),X0)|sdtpldt0(sdtpldt0(xn,xm),xr)=X0|~spl0_174)),
% 6.93/1.22 inference(resolution,[status(thm)],[f1671,f498])).
% 6.93/1.22 fof(f1791,plain,(
% 6.93/1.22 spl0_190|~spl0_8|~spl0_174),
% 6.93/1.22 inference(split_clause,[status(thm)],[f1790,f1787,f230,f1670])).
% 6.93/1.22 fof(f1792,plain,(
% 6.93/1.22 spl0_191 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtpldt0(sdtpldt0(xn,xm),xr))|sdtlseqdt0(X0,sdtpldt0(sdtpldt0(xn,xm),xr))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f1795,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xr))|~sdtlseqdt0(X0,sdtpldt0(sdtpldt0(xn,xm),xr))|sdtlseqdt0(X0,sdtpldt0(sdtpldt0(xn,xm),xr))|~spl0_174)),
% 6.93/1.22 inference(resolution,[status(thm)],[f1671,f111])).
% 6.93/1.22 fof(f1796,plain,(
% 6.93/1.22 spl0_191|~spl0_8|~spl0_174),
% 6.93/1.22 inference(split_clause,[status(thm)],[f1795,f1792,f230,f1670])).
% 6.93/1.22 fof(f1924,plain,(
% 6.93/1.22 spl0_204 <=> xr=sz00),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f1926,plain,(
% 6.93/1.22 ~xr=sz00|spl0_204),
% 6.93/1.22 inference(component_clause,[status(thm)],[f1924])).
% 6.93/1.22 fof(f1984,plain,(
% 6.93/1.22 spl0_216 <=> aNaturalNumber0(sdtpldt0(xr,xp))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f1986,plain,(
% 6.93/1.22 ~aNaturalNumber0(sdtpldt0(xr,xp))|spl0_216),
% 6.93/1.22 inference(component_clause,[status(thm)],[f1984])).
% 6.93/1.22 fof(f1994,plain,(
% 6.93/1.22 ~aNaturalNumber0(xr)|~aNaturalNumber0(xp)|spl0_216),
% 6.93/1.22 inference(resolution,[status(thm)],[f1986,f60])).
% 6.93/1.22 fof(f1995,plain,(
% 6.93/1.22 ~spl0_11|~spl0_3|spl0_216),
% 6.93/1.22 inference(split_clause,[status(thm)],[f1994,f247,f211,f1984])).
% 6.93/1.22 fof(f2099,plain,(
% 6.93/1.22 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~sdtlseqdt0(X2,X0)|sdtlseqdt0(X2,sdtpldt0(sdtpldt0(X0,X1),sz00)))),
% 6.93/1.22 inference(resolution,[status(thm)],[f1253,f111])).
% 6.93/1.22 fof(f2100,plain,(
% 6.93/1.22 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X0)|sdtlseqdt0(X2,sdtpldt0(sdtpldt0(X0,X1),sz00)))),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f2099])).
% 6.93/1.22 fof(f2101,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X0)|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),sz00),X0)|sdtpldt0(sdtpldt0(X0,X1),sz00)=X0)),
% 6.93/1.22 inference(resolution,[status(thm)],[f1253,f109])).
% 6.93/1.22 fof(f2102,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X1)|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),sz00),X0)|sdtpldt0(sdtpldt0(X0,X1),sz00)=X0)),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f2101])).
% 6.93/1.22 fof(f2125,plain,(
% 6.93/1.22 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~sdtlseqdt0(X2,X0)|sdtlseqdt0(X2,sdtpldt0(sz00,sdtpldt0(X0,X1))))),
% 6.93/1.22 inference(resolution,[status(thm)],[f1258,f111])).
% 6.93/1.22 fof(f2126,plain,(
% 6.93/1.22 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X0)|sdtlseqdt0(X2,sdtpldt0(sz00,sdtpldt0(X0,X1))))),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f2125])).
% 6.93/1.22 fof(f2127,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X0)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),X0)|sdtpldt0(sz00,sdtpldt0(X0,X1))=X0)),
% 6.93/1.22 inference(resolution,[status(thm)],[f1258,f109])).
% 6.93/1.22 fof(f2128,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X1)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),X0)|sdtpldt0(sz00,sdtpldt0(X0,X1))=X0)),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f2127])).
% 6.93/1.22 fof(f2278,plain,(
% 6.93/1.22 spl0_248 <=> ~aNaturalNumber0(sdtpldt0(X0,X1))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtmndt0(sdtpldt0(X0,X1),sz00))|sdtlseqdt0(X0,sdtmndt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X0,X1))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2281,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtpldt0(X0,X1))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtmndt0(sdtpldt0(X0,X1),sz00))|sdtlseqdt0(X0,sdtmndt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X0,X1)))),
% 6.93/1.22 inference(resolution,[status(thm)],[f978,f69])).
% 6.93/1.22 fof(f2282,plain,(
% 6.93/1.22 ~spl0_120|spl0_248),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2281,f1246,f2278])).
% 6.93/1.22 fof(f2386,plain,(
% 6.93/1.22 xr=sz00|~spl0_86),
% 6.93/1.22 inference(resolution,[status(thm)],[f836,f190])).
% 6.93/1.22 fof(f2387,plain,(
% 6.93/1.22 $false|spl0_204|~spl0_86),
% 6.93/1.22 inference(forward_subsumption_resolution,[status(thm)],[f2386,f1926])).
% 6.93/1.22 fof(f2388,plain,(
% 6.93/1.22 spl0_204|~spl0_86),
% 6.93/1.22 inference(contradiction_clause,[status(thm)],[f2387])).
% 6.93/1.22 fof(f2401,plain,(
% 6.93/1.22 spl0_264 <=> sdtlseqdt0(xk,xp)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2403,plain,(
% 6.93/1.22 ~sdtlseqdt0(xk,xp)|spl0_264),
% 6.93/1.22 inference(component_clause,[status(thm)],[f2401])).
% 6.93/1.22 fof(f2404,plain,(
% 6.93/1.22 ~aNaturalNumber0(xk)|~sdtlseqdt0(xk,xp)|spl0_65|~spl0_59),
% 6.93/1.22 inference(resolution,[status(thm)],[f686,f616])).
% 6.93/1.22 fof(f2405,plain,(
% 6.93/1.22 ~spl0_60|~spl0_264|spl0_65|~spl0_59),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2404,f663,f2401,f684,f615])).
% 6.93/1.22 fof(f2415,plain,(
% 6.93/1.22 ~aNaturalNumber0(xk)|~sdtlseqdt0(xk,xp)|~spl0_56),
% 6.93/1.22 inference(resolution,[status(thm)],[f193,f599])).
% 6.93/1.22 fof(f2416,plain,(
% 6.93/1.22 ~spl0_60|~spl0_264|~spl0_56),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2415,f663,f2401,f598])).
% 6.93/1.22 fof(f2432,plain,(
% 6.93/1.22 spl0_267 <=> sdtlseqdt0(xp,xk)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2435,plain,(
% 6.93/1.22 ~aNaturalNumber0(xp)|~aNaturalNumber0(xk)|sdtlseqdt0(xp,xk)|spl0_264),
% 6.93/1.22 inference(resolution,[status(thm)],[f2403,f114])).
% 6.93/1.22 fof(f2436,plain,(
% 6.93/1.22 ~spl0_3|~spl0_60|spl0_267|spl0_264),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2435,f211,f663,f2432,f2401])).
% 6.93/1.22 fof(f2447,plain,(
% 6.93/1.22 spl0_270 <=> ~aNaturalNumber0(sdtpldt0(X0,sz00))|~aNaturalNumber0(sdtpldt0(sdtpldt0(sdtpldt0(X0,sz00),X1),sz00))|~aNaturalNumber0(X1)|sdtpldt0(sdtpldt0(sdtpldt0(X0,sz00),X1),sz00)=sdtpldt0(X0,sz00)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,sz00),X1))|~aNaturalNumber0(X0)|sdtpldt0(sdtpldt0(X0,sz00),X1)=X0|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,sz00),X1),X0)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2450,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(X0,sz00))|~aNaturalNumber0(sdtpldt0(sdtpldt0(sdtpldt0(X0,sz00),X1),sz00))|~aNaturalNumber0(X1)|sdtpldt0(sdtpldt0(sdtpldt0(X0,sz00),X1),sz00)=sdtpldt0(X0,sz00)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,sz00),X1))|~aNaturalNumber0(X0)|sdtpldt0(sdtpldt0(X0,sz00),X1)=X0|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,sz00),X1),X0)|~aNaturalNumber0(sz00))),
% 6.93/1.22 inference(resolution,[status(thm)],[f2102,f119])).
% 6.93/1.22 fof(f2451,plain,(
% 6.93/1.22 spl0_270|~spl0_120),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2450,f2447,f1246])).
% 6.93/1.22 fof(f2471,plain,(
% 6.93/1.22 spl0_273 <=> ~aNaturalNumber0(sdtpldt0(sz00,X0))|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,X0),X1)))|~aNaturalNumber0(X1)|sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,X0),X1))=sdtpldt0(sz00,X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,X0),X1))|~aNaturalNumber0(X0)|sdtpldt0(sdtpldt0(sz00,X0),X1)=X0|~sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,X0),X1),X0)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2474,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,X0))|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,X0),X1)))|~aNaturalNumber0(X1)|sdtpldt0(sz00,sdtpldt0(sdtpldt0(sz00,X0),X1))=sdtpldt0(sz00,X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(sz00,X0),X1))|~aNaturalNumber0(X0)|sdtpldt0(sdtpldt0(sz00,X0),X1)=X0|~sdtlseqdt0(sdtpldt0(sdtpldt0(sz00,X0),X1),X0)|~aNaturalNumber0(sz00))),
% 6.93/1.22 inference(resolution,[status(thm)],[f2128,f117])).
% 6.93/1.22 fof(f2475,plain,(
% 6.93/1.22 spl0_273|~spl0_120),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2474,f2471,f1246])).
% 6.93/1.22 fof(f2500,plain,(
% 6.93/1.22 spl0_277 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,sz00)|sz00=X0),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2503,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,sz00)|sz00=X0|~spl0_121)),
% 6.93/1.22 inference(resolution,[status(thm)],[f1265,f498])).
% 6.93/1.22 fof(f2504,plain,(
% 6.93/1.22 spl0_277|~spl0_120|~spl0_121),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2503,f2500,f1246,f1259])).
% 6.93/1.22 fof(f2507,plain,(
% 6.93/1.22 spl0_278 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,sz00)|~sdtlseqdt0(X0,X1)|X0=X1),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2510,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,sz00)|~sdtlseqdt0(X0,X1)|X0=X1|~spl0_121)),
% 6.93/1.22 inference(resolution,[status(thm)],[f1265,f498])).
% 6.93/1.22 fof(f2511,plain,(
% 6.93/1.22 spl0_278|~spl0_120|~spl0_121),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2510,f2507,f1246,f1259])).
% 6.93/1.22 fof(f2512,plain,(
% 6.93/1.22 spl0_279 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,sz00)|sdtlseqdt0(X1,X0)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2515,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,sz00)|sdtlseqdt0(X1,X0)|~spl0_121)),
% 6.93/1.22 inference(resolution,[status(thm)],[f1265,f111])).
% 6.93/1.22 fof(f2516,plain,(
% 6.93/1.22 spl0_279|~spl0_120|~spl0_121),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2515,f2512,f1246,f1259])).
% 6.93/1.22 fof(f2517,plain,(
% 6.93/1.22 spl0_280 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|X0=sz00),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2518,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|X0=sz00|~spl0_280)),
% 6.93/1.22 inference(component_clause,[status(thm)],[f2517])).
% 6.93/1.22 fof(f2520,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~sdtlseqdt0(X0,sz00)|X0=sz00|~spl0_121)),
% 6.93/1.22 inference(resolution,[status(thm)],[f1265,f109])).
% 6.93/1.22 fof(f2521,plain,(
% 6.93/1.22 spl0_280|~spl0_120|~spl0_121),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2520,f2517,f1246,f1259])).
% 6.93/1.22 fof(f2525,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz00)|X0=sz00|~spl0_280)),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f2518])).
% 6.93/1.22 fof(f2571,plain,(
% 6.93/1.22 spl0_284 <=> ~aNaturalNumber0(sdtasdt0(X0,sz10))|~aNaturalNumber0(X0)|sdtasdt0(X0,sz10)=X0|~sdtlseqdt0(sdtasdt0(X0,sz10),X0)|~aNaturalNumber0(sdtasdt0(X0,sz10))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2574,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sz10)|~aNaturalNumber0(sdtasdt0(X0,sz10))|~aNaturalNumber0(X0)|sz10=sz00|sdtasdt0(X0,sz10)=X0|~sdtlseqdt0(sdtasdt0(X0,sz10),X0)|~aNaturalNumber0(sdtasdt0(X0,sz10)))),
% 6.93/1.22 inference(resolution,[status(thm)],[f123,f75])).
% 6.93/1.22 fof(f2575,plain,(
% 6.93/1.22 ~spl0_122|spl0_284|spl0_123),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2574,f1276,f2571,f1279])).
% 6.93/1.22 fof(f2576,plain,(
% 6.93/1.22 spl0_285 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,sz10))|X0=sdtasdt0(X0,sz10)|~sdtlseqdt0(X0,sdtasdt0(X0,sz10))|~aNaturalNumber0(sdtasdt0(X0,sz10))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2579,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sz10)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(X0,sz10))|sz10=sz00|X0=sdtasdt0(X0,sz10)|~sdtlseqdt0(X0,sdtasdt0(X0,sz10))|~aNaturalNumber0(sdtasdt0(X0,sz10)))),
% 6.93/1.22 inference(resolution,[status(thm)],[f123,f75])).
% 6.93/1.22 fof(f2580,plain,(
% 6.93/1.22 ~spl0_122|spl0_285|spl0_123),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2579,f1276,f2576,f1279])).
% 6.93/1.22 fof(f2593,plain,(
% 6.93/1.22 spl0_286 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(sz10,X0))|X0=sdtasdt0(sz10,X0)|~sdtlseqdt0(X0,sdtasdt0(sz10,X0))|~aNaturalNumber0(sdtasdt0(sz10,X0))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2596,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sz10)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtasdt0(sz10,X0))|sz10=sz00|X0=sdtasdt0(sz10,X0)|~sdtlseqdt0(X0,sdtasdt0(sz10,X0))|~aNaturalNumber0(sdtasdt0(sz10,X0)))),
% 6.93/1.22 inference(resolution,[status(thm)],[f121,f76])).
% 6.93/1.22 fof(f2597,plain,(
% 6.93/1.22 ~spl0_122|spl0_286|spl0_123),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2596,f1276,f2593,f1279])).
% 6.93/1.22 fof(f2598,plain,(
% 6.93/1.22 spl0_287 <=> ~aNaturalNumber0(sdtasdt0(sz10,X0))|~aNaturalNumber0(X0)|sdtasdt0(sz10,X0)=X0|~sdtlseqdt0(sdtasdt0(sz10,X0),X0)|~aNaturalNumber0(sdtasdt0(sz10,X0))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2601,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sz10)|~aNaturalNumber0(sdtasdt0(sz10,X0))|~aNaturalNumber0(X0)|sz10=sz00|sdtasdt0(sz10,X0)=X0|~sdtlseqdt0(sdtasdt0(sz10,X0),X0)|~aNaturalNumber0(sdtasdt0(sz10,X0)))),
% 6.93/1.22 inference(resolution,[status(thm)],[f121,f76])).
% 6.93/1.22 fof(f2602,plain,(
% 6.93/1.22 ~spl0_122|spl0_287|spl0_123),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2601,f1276,f2598,f1279])).
% 6.93/1.22 fof(f2607,plain,(
% 6.93/1.22 spl0_288 <=> ~aNaturalNumber0(sdtpldt0(X0,sz00))|~aNaturalNumber0(X0)|sdtpldt0(X0,sz00)=X0|~aNaturalNumber0(sdtpldt0(X0,sz00))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2610,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtpldt0(X0,sz00))|~aNaturalNumber0(X0)|sdtpldt0(X0,sz00)=X0|~aNaturalNumber0(sdtpldt0(X0,sz00)))),
% 6.93/1.22 inference(resolution,[status(thm)],[f85,f68])).
% 6.93/1.22 fof(f2611,plain,(
% 6.93/1.22 ~spl0_120|spl0_288),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2610,f1246,f2607])).
% 6.93/1.22 fof(f2620,plain,(
% 6.93/1.22 spl0_289 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,X0))|X0=sdtpldt0(sz00,X0)|~aNaturalNumber0(sdtpldt0(sz00,X0))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2623,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,X0))|X0=sdtpldt0(sz00,X0)|~aNaturalNumber0(sdtpldt0(sz00,X0)))),
% 6.93/1.22 inference(resolution,[status(thm)],[f84,f69])).
% 6.93/1.22 fof(f2624,plain,(
% 6.93/1.22 ~spl0_120|spl0_289),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2623,f1246,f2620])).
% 6.93/1.22 fof(f2641,plain,(
% 6.93/1.22 ~aNaturalNumber0(xp)|~xp=sz10),
% 6.93/1.22 inference(resolution,[status(thm)],[f176,f160])).
% 6.93/1.22 fof(f2642,plain,(
% 6.93/1.22 ~spl0_3|~spl0_88),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2641,f211,f853])).
% 6.93/1.22 fof(f2647,plain,(
% 6.93/1.22 spl0_290 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X0)|~sdtlseqdt0(X0,xk)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2650,plain,(
% 6.93/1.22 spl0_291 <=> xk=xp),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2651,plain,(
% 6.93/1.22 xk=xp|~spl0_291),
% 6.93/1.22 inference(component_clause,[status(thm)],[f2650])).
% 6.93/1.22 fof(f2653,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|~aNaturalNumber0(xk)|~sdtlseqdt0(xp,X0)|~sdtlseqdt0(X0,xk)|xk=xp)),
% 6.93/1.22 inference(resolution,[status(thm)],[f196,f498])).
% 6.93/1.22 fof(f2654,plain,(
% 6.93/1.22 ~spl0_3|spl0_290|~spl0_60|spl0_291),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2653,f211,f2647,f663,f2650])).
% 6.93/1.22 fof(f2655,plain,(
% 6.93/1.22 spl0_292 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xk)|~sdtlseqdt0(xp,X0)|xp=X0),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2658,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xk)|~aNaturalNumber0(xp)|~sdtlseqdt0(X0,xk)|~sdtlseqdt0(xp,X0)|xp=X0)),
% 6.93/1.22 inference(resolution,[status(thm)],[f196,f498])).
% 6.93/1.22 fof(f2659,plain,(
% 6.93/1.22 spl0_292|~spl0_60|~spl0_3),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2658,f2655,f663,f211])).
% 6.93/1.22 fof(f2660,plain,(
% 6.93/1.22 spl0_293 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xk)|sdtlseqdt0(X0,xp)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2663,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xk)|~aNaturalNumber0(xp)|~sdtlseqdt0(X0,xk)|sdtlseqdt0(X0,xp))),
% 6.93/1.22 inference(resolution,[status(thm)],[f196,f111])).
% 6.93/1.22 fof(f2664,plain,(
% 6.93/1.22 spl0_293|~spl0_60|~spl0_3),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2663,f2660,f663,f211])).
% 6.93/1.22 fof(f2665,plain,(
% 6.93/1.22 ~aNaturalNumber0(xp)|~aNaturalNumber0(xk)|~sdtlseqdt0(xp,xk)|xp=xk),
% 6.93/1.22 inference(resolution,[status(thm)],[f196,f109])).
% 6.93/1.22 fof(f2666,plain,(
% 6.93/1.22 ~spl0_3|~spl0_60|~spl0_267|spl0_291),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2665,f211,f663,f2432,f2650])).
% 6.93/1.22 fof(f2667,plain,(
% 6.93/1.22 spl0_294 <=> xp=sz00),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2670,plain,(
% 6.93/1.22 ~aNaturalNumber0(xp)|~xp=sz00),
% 6.93/1.22 inference(resolution,[status(thm)],[f159,f176])).
% 6.93/1.22 fof(f2671,plain,(
% 6.93/1.22 ~spl0_3|~spl0_294),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2670,f211,f2667])).
% 6.93/1.22 fof(f2672,plain,(
% 6.93/1.22 ~aNaturalNumber0(xr)|~xr=sz00),
% 6.93/1.22 inference(resolution,[status(thm)],[f159,f192])).
% 6.93/1.22 fof(f2673,plain,(
% 6.93/1.22 ~spl0_11|~spl0_204),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2672,f247,f1924])).
% 6.93/1.22 fof(f2740,plain,(
% 6.93/1.22 spl0_305 <=> ~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2743,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0)|sdtlseqdt0(sz00,X0)|~spl0_280)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2525,f114])).
% 6.93/1.22 fof(f2744,plain,(
% 6.93/1.22 spl0_305|~spl0_120|~spl0_280),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2743,f2740,f1246,f2517])).
% 6.93/1.22 fof(f2755,plain,(
% 6.93/1.22 spl0_306 <=> ~aNaturalNumber0(sdtasdt0(xp,X0))|~sdtlseqdt0(sdtasdt0(xp,X0),xn)|~aNaturalNumber0(X0)|X0=sz00),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2758,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtasdt0(xp,X0))|~sdtlseqdt0(sdtasdt0(xp,X0),xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|X0=sz00|~spl0_46)),
% 6.93/1.22 inference(resolution,[status(thm)],[f491,f129])).
% 6.93/1.22 fof(f2759,plain,(
% 6.93/1.22 spl0_306|~spl0_3|~spl0_46),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2758,f2755,f211,f490])).
% 6.93/1.22 fof(f2764,plain,(
% 6.93/1.22 spl0_307 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2765,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~spl0_307)),
% 6.93/1.22 inference(component_clause,[status(thm)],[f2764])).
% 6.93/1.22 fof(f2767,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)|~sdtlseqdt0(xp,X0)|~spl0_46)),
% 6.93/1.22 inference(resolution,[status(thm)],[f491,f2126])).
% 6.93/1.22 fof(f2768,plain,(
% 6.93/1.22 spl0_307|~spl0_3|~spl0_46),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2767,f2764,f211,f490])).
% 6.93/1.22 fof(f2769,plain,(
% 6.93/1.22 spl0_308 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),xn)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2770,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),xn)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~spl0_308)),
% 6.93/1.22 inference(component_clause,[status(thm)],[f2769])).
% 6.93/1.22 fof(f2772,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~spl0_46)),
% 6.93/1.22 inference(resolution,[status(thm)],[f491,f1258])).
% 6.93/1.22 fof(f2773,plain,(
% 6.93/1.22 spl0_308|~spl0_3|~spl0_46),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2772,f2769,f211,f490])).
% 6.93/1.22 fof(f2774,plain,(
% 6.93/1.22 spl0_309 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),sz00),xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2775,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),sz00),xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~spl0_309)),
% 6.93/1.22 inference(component_clause,[status(thm)],[f2774])).
% 6.93/1.22 fof(f2777,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),sz00),xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)|~sdtlseqdt0(xp,X0)|~spl0_46)),
% 6.93/1.22 inference(resolution,[status(thm)],[f491,f2100])).
% 6.93/1.22 fof(f2778,plain,(
% 6.93/1.22 spl0_309|~spl0_3|~spl0_46),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2777,f2774,f211,f490])).
% 6.93/1.22 fof(f2779,plain,(
% 6.93/1.22 spl0_310 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),xn)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2780,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),xn)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~spl0_310)),
% 6.93/1.22 inference(component_clause,[status(thm)],[f2779])).
% 6.93/1.22 fof(f2782,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~spl0_46)),
% 6.93/1.22 inference(resolution,[status(thm)],[f491,f1253])).
% 6.93/1.22 fof(f2783,plain,(
% 6.93/1.22 spl0_310|~spl0_3|~spl0_46),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2782,f2779,f211,f490])).
% 6.93/1.22 fof(f2784,plain,(
% 6.93/1.22 spl0_311 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),X1),xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2785,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),X1),xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~spl0_311)),
% 6.93/1.22 inference(component_clause,[status(thm)],[f2784])).
% 6.93/1.22 fof(f2787,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),X1),xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~spl0_46)),
% 6.93/1.22 inference(resolution,[status(thm)],[f491,f824])).
% 6.93/1.22 fof(f2788,plain,(
% 6.93/1.22 spl0_311|~spl0_3|~spl0_46),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2787,f2784,f211,f490])).
% 6.93/1.22 fof(f2789,plain,(
% 6.93/1.22 spl0_312 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X1)|~sdtlseqdt0(X1,X0)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2792,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X1)|~sdtlseqdt0(X1,X0)|~spl0_46)),
% 6.93/1.22 inference(resolution,[status(thm)],[f491,f111])).
% 6.93/1.22 fof(f2793,plain,(
% 6.93/1.22 spl0_312|~spl0_3|~spl0_46),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2792,f2789,f211,f490])).
% 6.93/1.22 fof(f2794,plain,(
% 6.93/1.22 spl0_313 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|~aNaturalNumber0(X0)|sdtlseqdt0(X0,xp)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2797,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|sdtlseqdt0(X0,xp)|~spl0_46)),
% 6.93/1.22 inference(resolution,[status(thm)],[f491,f114])).
% 6.93/1.22 fof(f2798,plain,(
% 6.93/1.22 spl0_313|~spl0_3|~spl0_46),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2797,f2794,f211,f490])).
% 6.93/1.22 fof(f2799,plain,(
% 6.93/1.22 ~aNaturalNumber0(xp)|~sdtlseqdt0(xp,xn)|~aNaturalNumber0(xp)|~spl0_46),
% 6.93/1.22 inference(resolution,[status(thm)],[f491,f107])).
% 6.93/1.22 fof(f2800,plain,(
% 6.93/1.22 ~spl0_3|~spl0_16|~spl0_46),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2799,f211,f276,f490])).
% 6.93/1.22 fof(f2801,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~spl0_307)),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f2765])).
% 6.93/1.22 fof(f2802,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),xn)|~aNaturalNumber0(X0)|~spl0_308)),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f2770])).
% 6.93/1.22 fof(f2803,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),sz00),xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~spl0_309)),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f2775])).
% 6.93/1.22 fof(f2804,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),xn)|~aNaturalNumber0(X0)|~spl0_310)),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f2780])).
% 6.93/1.22 fof(f2805,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),X1),xn)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~spl0_311)),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f2785])).
% 6.93/1.22 fof(f2808,plain,(
% 6.93/1.22 spl0_314 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X1)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),X1)|~sdtlseqdt0(X1,xn)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2811,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),X1)|~sdtlseqdt0(X1,xn)|~spl0_308)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2802,f111])).
% 6.93/1.22 fof(f2812,plain,(
% 6.93/1.22 spl0_314|~spl0_5|~spl0_308),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2811,f2808,f219,f2769])).
% 6.93/1.22 fof(f2813,plain,(
% 6.93/1.22 spl0_315 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|sdtlseqdt0(xn,sdtpldt0(sz00,sdtpldt0(xp,X0)))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2814,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|sdtlseqdt0(xn,sdtpldt0(sz00,sdtpldt0(xp,X0)))|~spl0_315)),
% 6.93/1.22 inference(component_clause,[status(thm)],[f2813])).
% 6.93/1.22 fof(f2816,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|sdtlseqdt0(xn,sdtpldt0(sz00,sdtpldt0(xp,X0)))|~spl0_308)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2802,f114])).
% 6.93/1.22 fof(f2817,plain,(
% 6.93/1.22 spl0_315|~spl0_5|~spl0_308),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2816,f2813,f219,f2769])).
% 6.93/1.22 fof(f2819,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|sdtlseqdt0(xn,sdtpldt0(sz00,sdtpldt0(xp,X0)))|~spl0_315)),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f2814])).
% 6.93/1.22 fof(f2820,plain,(
% 6.93/1.22 spl0_316 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X1)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),X1)|~sdtlseqdt0(X1,xn)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2823,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),X1)|~sdtlseqdt0(X1,xn)|~spl0_310)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2804,f111])).
% 6.93/1.22 fof(f2824,plain,(
% 6.93/1.22 spl0_316|~spl0_5|~spl0_310),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2823,f2820,f219,f2779])).
% 6.93/1.22 fof(f2825,plain,(
% 6.93/1.22 spl0_317 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|sdtlseqdt0(xn,sdtpldt0(sdtpldt0(xp,X0),sz00))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2826,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|sdtlseqdt0(xn,sdtpldt0(sdtpldt0(xp,X0),sz00))|~spl0_317)),
% 6.93/1.22 inference(component_clause,[status(thm)],[f2825])).
% 6.93/1.22 fof(f2828,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|sdtlseqdt0(xn,sdtpldt0(sdtpldt0(xp,X0),sz00))|~spl0_310)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2804,f114])).
% 6.93/1.22 fof(f2829,plain,(
% 6.93/1.22 spl0_317|~spl0_5|~spl0_310),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2828,f2825,f219,f2779])).
% 6.93/1.22 fof(f2831,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|sdtlseqdt0(xn,sdtpldt0(sdtpldt0(xp,X0),sz00))|~spl0_317)),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f2826])).
% 6.93/1.22 fof(f2832,plain,(
% 6.93/1.22 spl0_318 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X1)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),X1)|~sdtlseqdt0(X1,xn)|xn=sdtpldt0(sz00,sdtpldt0(xp,X0))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2835,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),X1)|~sdtlseqdt0(X1,xn)|xn=sdtpldt0(sz00,sdtpldt0(xp,X0))|~spl0_315)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2819,f498])).
% 6.93/1.22 fof(f2836,plain,(
% 6.93/1.22 spl0_318|~spl0_5|~spl0_315),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2835,f2832,f219,f2813])).
% 6.93/1.22 fof(f2837,plain,(
% 6.93/1.22 spl0_319 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(X1,xn)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),X1)|sdtpldt0(sz00,sdtpldt0(xp,X0))=X1),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2840,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(X1,xn)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),X1)|sdtpldt0(sz00,sdtpldt0(xp,X0))=X1|~spl0_315)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2819,f498])).
% 6.93/1.22 fof(f2841,plain,(
% 6.93/1.22 spl0_319|~spl0_5|~spl0_315),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2840,f2837,f219,f2813])).
% 6.93/1.22 fof(f2842,plain,(
% 6.93/1.22 spl0_320 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(X1,xn)|sdtlseqdt0(X1,sdtpldt0(sz00,sdtpldt0(xp,X0)))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2845,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(X1,xn)|sdtlseqdt0(X1,sdtpldt0(sz00,sdtpldt0(xp,X0)))|~spl0_315)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2819,f111])).
% 6.93/1.22 fof(f2846,plain,(
% 6.93/1.22 spl0_320|~spl0_5|~spl0_315),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2845,f2842,f219,f2813])).
% 6.93/1.22 fof(f2847,plain,(
% 6.93/1.22 spl0_321 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),xn)|sdtpldt0(sz00,sdtpldt0(xp,X0))=xn),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2850,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(xn)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),xn)|sdtpldt0(sz00,sdtpldt0(xp,X0))=xn|~spl0_315)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2819,f109])).
% 6.93/1.22 fof(f2851,plain,(
% 6.93/1.22 spl0_321|~spl0_5|~spl0_315),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2850,f2847,f219,f2813])).
% 6.93/1.22 fof(f2855,plain,(
% 6.93/1.22 spl0_322 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X1)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),X1)|~sdtlseqdt0(X1,xn)|xn=sdtpldt0(sdtpldt0(xp,X0),sz00)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2858,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),X1)|~sdtlseqdt0(X1,xn)|xn=sdtpldt0(sdtpldt0(xp,X0),sz00)|~spl0_317)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2831,f498])).
% 6.93/1.22 fof(f2859,plain,(
% 6.93/1.22 spl0_322|~spl0_5|~spl0_317),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2858,f2855,f219,f2825])).
% 6.93/1.22 fof(f2860,plain,(
% 6.93/1.22 spl0_323 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(X1,xn)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),X1)|sdtpldt0(sdtpldt0(xp,X0),sz00)=X1),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2863,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(X1,xn)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),X1)|sdtpldt0(sdtpldt0(xp,X0),sz00)=X1|~spl0_317)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2831,f498])).
% 6.93/1.22 fof(f2864,plain,(
% 6.93/1.22 spl0_323|~spl0_5|~spl0_317),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2863,f2860,f219,f2825])).
% 6.93/1.22 fof(f2865,plain,(
% 6.93/1.22 spl0_324 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(X1,xn)|sdtlseqdt0(X1,sdtpldt0(sdtpldt0(xp,X0),sz00))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2868,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(X1,xn)|sdtlseqdt0(X1,sdtpldt0(sdtpldt0(xp,X0),sz00))|~spl0_317)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2831,f111])).
% 6.93/1.22 fof(f2869,plain,(
% 6.93/1.22 spl0_324|~spl0_5|~spl0_317),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2868,f2865,f219,f2825])).
% 6.93/1.22 fof(f2870,plain,(
% 6.93/1.22 spl0_325 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),xn)|sdtpldt0(sdtpldt0(xp,X0),sz00)=xn),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2873,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(xn)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),xn)|sdtpldt0(sdtpldt0(xp,X0),sz00)=xn|~spl0_317)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2831,f109])).
% 6.93/1.22 fof(f2874,plain,(
% 6.93/1.22 spl0_325|~spl0_5|~spl0_317),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2873,f2870,f219,f2825])).
% 6.93/1.22 fof(f2878,plain,(
% 6.93/1.22 spl0_326 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~aNaturalNumber0(X2)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),X1),X2)|~sdtlseqdt0(X2,xn)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2881,plain,(
% 6.93/1.22 ![X0,X1,X2]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~aNaturalNumber0(X2)|~aNaturalNumber0(xn)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),X1),X2)|~sdtlseqdt0(X2,xn)|~spl0_311)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2805,f111])).
% 6.93/1.22 fof(f2882,plain,(
% 6.93/1.22 spl0_326|~spl0_5|~spl0_311),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2881,f2878,f219,f2784])).
% 6.93/1.22 fof(f2883,plain,(
% 6.93/1.22 spl0_327 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|sdtlseqdt0(xn,sdtpldt0(sdtpldt0(xp,X0),X1))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2886,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|sdtlseqdt0(xn,sdtpldt0(sdtpldt0(xp,X0),X1))|~spl0_311)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2805,f114])).
% 6.93/1.22 fof(f2887,plain,(
% 6.93/1.22 spl0_327|~spl0_5|~spl0_311),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2886,f2883,f219,f2784])).
% 6.93/1.22 fof(f2890,plain,(
% 6.93/1.22 spl0_328 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X2)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),X2)|~sdtlseqdt0(X2,xn)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2893,plain,(
% 6.93/1.22 ![X0,X1,X2]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X2)|~aNaturalNumber0(xn)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),X2)|~sdtlseqdt0(X2,xn)|~spl0_307)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2801,f111])).
% 6.93/1.22 fof(f2894,plain,(
% 6.93/1.22 spl0_328|~spl0_5|~spl0_307),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2893,f2890,f219,f2764])).
% 6.93/1.22 fof(f2895,plain,(
% 6.93/1.22 spl0_329 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|sdtlseqdt0(xn,sdtpldt0(sz00,sdtpldt0(X0,X1)))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2898,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|sdtlseqdt0(xn,sdtpldt0(sz00,sdtpldt0(X0,X1)))|~spl0_307)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2801,f114])).
% 6.93/1.22 fof(f2899,plain,(
% 6.93/1.22 spl0_329|~spl0_5|~spl0_307),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2898,f2895,f219,f2764])).
% 6.93/1.22 fof(f2902,plain,(
% 6.93/1.22 spl0_330 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X2)|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),sz00),X2)|~sdtlseqdt0(X2,xn)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2905,plain,(
% 6.93/1.22 ![X0,X1,X2]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X2)|~aNaturalNumber0(xn)|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),sz00),X2)|~sdtlseqdt0(X2,xn)|~spl0_309)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2803,f111])).
% 6.93/1.22 fof(f2906,plain,(
% 6.93/1.22 spl0_330|~spl0_5|~spl0_309),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2905,f2902,f219,f2774])).
% 6.93/1.22 fof(f2907,plain,(
% 6.93/1.22 spl0_331 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|sdtlseqdt0(xn,sdtpldt0(sdtpldt0(X0,X1),sz00))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2910,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~aNaturalNumber0(xn)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|sdtlseqdt0(xn,sdtpldt0(sdtpldt0(X0,X1),sz00))|~spl0_309)),
% 6.93/1.22 inference(resolution,[status(thm)],[f2803,f114])).
% 6.93/1.22 fof(f2911,plain,(
% 6.93/1.22 spl0_331|~spl0_5|~spl0_309),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2910,f2907,f219,f2774])).
% 6.93/1.22 fof(f2927,plain,(
% 6.93/1.22 spl0_333 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),xm)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|sdtpldt0(sz00,sdtpldt0(xp,X0))=xp),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2930,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|sdtpldt0(sz00,sdtpldt0(xp,X0))=xp|~spl0_41)),
% 6.93/1.22 inference(resolution,[status(thm)],[f462,f2128])).
% 6.93/1.22 fof(f2931,plain,(
% 6.93/1.22 spl0_333|~spl0_3|~spl0_41),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2930,f2927,f211,f461])).
% 6.93/1.22 fof(f2951,plain,(
% 6.93/1.22 spl0_337 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),xm)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|sdtpldt0(sdtpldt0(xp,X0),sz00)=xp),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2954,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|sdtpldt0(sdtpldt0(xp,X0),sz00)=xp|~spl0_41)),
% 6.93/1.22 inference(resolution,[status(thm)],[f462,f2102])).
% 6.93/1.22 fof(f2955,plain,(
% 6.93/1.22 spl0_337|~spl0_3|~spl0_41),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2954,f2951,f211,f461])).
% 6.93/1.22 fof(f2960,plain,(
% 6.93/1.22 spl0_338 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X1)|~sdtlseqdt0(X1,X0)|X0=xp),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2963,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X1)|~sdtlseqdt0(X1,X0)|X0=xp|~spl0_41)),
% 6.93/1.22 inference(resolution,[status(thm)],[f462,f498])).
% 6.93/1.22 fof(f2964,plain,(
% 6.93/1.22 spl0_338|~spl0_3|~spl0_41),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2963,f2960,f211,f461])).
% 6.93/1.22 fof(f2967,plain,(
% 6.93/1.22 spl0_339 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,X0)|~sdtlseqdt0(xp,X1)|xp=X1),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2970,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~sdtlseqdt0(X1,X0)|~sdtlseqdt0(xp,X1)|xp=X1|~spl0_41)),
% 6.93/1.22 inference(resolution,[status(thm)],[f462,f498])).
% 6.93/1.22 fof(f2971,plain,(
% 6.93/1.22 spl0_339|~spl0_3|~spl0_41),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2970,f2967,f211,f461])).
% 6.93/1.22 fof(f2972,plain,(
% 6.93/1.22 spl0_340 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,X0)|sdtlseqdt0(X1,xp)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2975,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~sdtlseqdt0(X1,X0)|sdtlseqdt0(X1,xp)|~spl0_41)),
% 6.93/1.22 inference(resolution,[status(thm)],[f462,f111])).
% 6.93/1.22 fof(f2976,plain,(
% 6.93/1.22 spl0_340|~spl0_3|~spl0_41),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2975,f2972,f211,f461])).
% 6.93/1.22 fof(f2977,plain,(
% 6.93/1.22 spl0_341 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X0)|xp=X0),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f2980,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X0)|xp=X0|~spl0_41)),
% 6.93/1.22 inference(resolution,[status(thm)],[f462,f109])).
% 6.93/1.22 fof(f2981,plain,(
% 6.93/1.22 spl0_341|~spl0_3|~spl0_41),
% 6.93/1.22 inference(split_clause,[status(thm)],[f2980,f2977,f211,f461])).
% 6.93/1.22 fof(f3165,plain,(
% 6.93/1.22 spl0_371 <=> ~aNaturalNumber0(sdtasdt0(xp,X0))|~sdtlseqdt0(sdtasdt0(xp,X0),xm)|~aNaturalNumber0(X0)|X0=sz00),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f3168,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtasdt0(xp,X0))|~sdtlseqdt0(sdtasdt0(xp,X0),xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|X0=sz00|~spl0_45)),
% 6.93/1.22 inference(resolution,[status(thm)],[f486,f129])).
% 6.93/1.22 fof(f3169,plain,(
% 6.93/1.22 spl0_371|~spl0_3|~spl0_45),
% 6.93/1.22 inference(split_clause,[status(thm)],[f3168,f3165,f211,f485])).
% 6.93/1.22 fof(f3174,plain,(
% 6.93/1.22 spl0_372 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f3175,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~spl0_372)),
% 6.93/1.22 inference(component_clause,[status(thm)],[f3174])).
% 6.93/1.22 fof(f3177,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)|~sdtlseqdt0(xp,X0)|~spl0_45)),
% 6.93/1.22 inference(resolution,[status(thm)],[f486,f2126])).
% 6.93/1.22 fof(f3178,plain,(
% 6.93/1.22 spl0_372|~spl0_3|~spl0_45),
% 6.93/1.22 inference(split_clause,[status(thm)],[f3177,f3174,f211,f485])).
% 6.93/1.22 fof(f3179,plain,(
% 6.93/1.22 spl0_373 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),xm)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f3180,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),xm)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~spl0_373)),
% 6.93/1.22 inference(component_clause,[status(thm)],[f3179])).
% 6.93/1.22 fof(f3182,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~spl0_45)),
% 6.93/1.22 inference(resolution,[status(thm)],[f486,f1258])).
% 6.93/1.22 fof(f3183,plain,(
% 6.93/1.22 spl0_373|~spl0_3|~spl0_45),
% 6.93/1.22 inference(split_clause,[status(thm)],[f3182,f3179,f211,f485])).
% 6.93/1.22 fof(f3184,plain,(
% 6.93/1.22 spl0_374 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),sz00),xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f3185,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),sz00),xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~spl0_374)),
% 6.93/1.22 inference(component_clause,[status(thm)],[f3184])).
% 6.93/1.22 fof(f3187,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),sz00),xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(xp)|~sdtlseqdt0(xp,X0)|~spl0_45)),
% 6.93/1.22 inference(resolution,[status(thm)],[f486,f2100])).
% 6.93/1.22 fof(f3188,plain,(
% 6.93/1.22 spl0_374|~spl0_3|~spl0_45),
% 6.93/1.22 inference(split_clause,[status(thm)],[f3187,f3184,f211,f485])).
% 6.93/1.22 fof(f3189,plain,(
% 6.93/1.22 spl0_375 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),xm)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f3190,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),xm)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~spl0_375)),
% 6.93/1.22 inference(component_clause,[status(thm)],[f3189])).
% 6.93/1.22 fof(f3192,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~spl0_45)),
% 6.93/1.22 inference(resolution,[status(thm)],[f486,f1253])).
% 6.93/1.22 fof(f3193,plain,(
% 6.93/1.22 spl0_375|~spl0_3|~spl0_45),
% 6.93/1.22 inference(split_clause,[status(thm)],[f3192,f3189,f211,f485])).
% 6.93/1.22 fof(f3194,plain,(
% 6.93/1.22 spl0_376 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),X1),xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f3195,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),X1),xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~spl0_376)),
% 6.93/1.22 inference(component_clause,[status(thm)],[f3194])).
% 6.93/1.22 fof(f3197,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),X1),xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~spl0_45)),
% 6.93/1.22 inference(resolution,[status(thm)],[f486,f824])).
% 6.93/1.22 fof(f3198,plain,(
% 6.93/1.22 spl0_376|~spl0_3|~spl0_45),
% 6.93/1.22 inference(split_clause,[status(thm)],[f3197,f3194,f211,f485])).
% 6.93/1.22 fof(f3199,plain,(
% 6.93/1.22 spl0_377 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X1)|~sdtlseqdt0(X1,X0)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f3202,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(xp,X1)|~sdtlseqdt0(X1,X0)|~spl0_45)),
% 6.93/1.22 inference(resolution,[status(thm)],[f486,f111])).
% 6.93/1.22 fof(f3203,plain,(
% 6.93/1.22 spl0_377|~spl0_3|~spl0_45),
% 6.93/1.22 inference(split_clause,[status(thm)],[f3202,f3199,f211,f485])).
% 6.93/1.22 fof(f3204,plain,(
% 6.93/1.22 spl0_378 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|~aNaturalNumber0(X0)|sdtlseqdt0(X0,xp)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f3207,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|sdtlseqdt0(X0,xp)|~spl0_45)),
% 6.93/1.22 inference(resolution,[status(thm)],[f486,f114])).
% 6.93/1.22 fof(f3208,plain,(
% 6.93/1.22 spl0_378|~spl0_3|~spl0_45),
% 6.93/1.22 inference(split_clause,[status(thm)],[f3207,f3204,f211,f485])).
% 6.93/1.22 fof(f3209,plain,(
% 6.93/1.22 ~aNaturalNumber0(xp)|~sdtlseqdt0(xp,xm)|~aNaturalNumber0(xp)|~spl0_45),
% 6.93/1.22 inference(resolution,[status(thm)],[f486,f107])).
% 6.93/1.22 fof(f3210,plain,(
% 6.93/1.22 ~spl0_3|~spl0_14|~spl0_45),
% 6.93/1.22 inference(split_clause,[status(thm)],[f3209,f211,f268,f485])).
% 6.93/1.22 fof(f3211,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~spl0_372)),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f3175])).
% 6.93/1.22 fof(f3212,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),xm)|~aNaturalNumber0(X0)|~spl0_373)),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f3180])).
% 6.93/1.22 fof(f3213,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),sz00),xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~spl0_374)),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f3185])).
% 6.93/1.22 fof(f3214,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),xm)|~aNaturalNumber0(X0)|~spl0_375)),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f3190])).
% 6.93/1.22 fof(f3215,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),X1),xm)|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~spl0_376)),
% 6.93/1.22 inference(duplicate_literals_removal,[status(esa)],[f3195])).
% 6.93/1.22 fof(f3217,plain,(
% 6.93/1.22 spl0_379 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X1)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),X1)|~sdtlseqdt0(X1,xm)),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f3220,plain,(
% 6.93/1.22 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),X1)|~sdtlseqdt0(X1,xm)|~spl0_373)),
% 6.93/1.22 inference(resolution,[status(thm)],[f3212,f111])).
% 6.93/1.22 fof(f3221,plain,(
% 6.93/1.22 spl0_379|~spl0_2|~spl0_373),
% 6.93/1.22 inference(split_clause,[status(thm)],[f3220,f3217,f208,f3179])).
% 6.93/1.22 fof(f3222,plain,(
% 6.93/1.22 spl0_380 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|sdtlseqdt0(xm,sdtpldt0(sz00,sdtpldt0(xp,X0)))),
% 6.93/1.22 introduced(split_symbol_definition)).
% 6.93/1.22 fof(f3223,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|sdtlseqdt0(xm,sdtpldt0(sz00,sdtpldt0(xp,X0)))|~spl0_380)),
% 6.93/1.22 inference(component_clause,[status(thm)],[f3222])).
% 6.93/1.22 fof(f3225,plain,(
% 6.93/1.22 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|sdtlseqdt0(xm,sdtpldt0(sz00,sdtpldt0(xp,X0)))|~spl0_373)),
% 6.93/1.22 inference(resolution,[status(thm)],[f3212,f114])).
% 6.93/1.22 fof(f3226,plain,(
% 6.93/1.22 spl0_380|~spl0_2|~spl0_373),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3225,f3222,f208,f3179])).
% 6.93/1.23 fof(f3228,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|sdtlseqdt0(xm,sdtpldt0(sz00,sdtpldt0(xp,X0)))|~spl0_380)),
% 6.93/1.23 inference(duplicate_literals_removal,[status(esa)],[f3223])).
% 6.93/1.23 fof(f3229,plain,(
% 6.93/1.23 spl0_381 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X1)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),X1)|~sdtlseqdt0(X1,xm)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3232,plain,(
% 6.93/1.23 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),X1)|~sdtlseqdt0(X1,xm)|~spl0_375)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3214,f111])).
% 6.93/1.23 fof(f3233,plain,(
% 6.93/1.23 spl0_381|~spl0_2|~spl0_375),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3232,f3229,f208,f3189])).
% 6.93/1.23 fof(f3234,plain,(
% 6.93/1.23 spl0_382 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|sdtlseqdt0(xm,sdtpldt0(sdtpldt0(xp,X0),sz00))),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3235,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|sdtlseqdt0(xm,sdtpldt0(sdtpldt0(xp,X0),sz00))|~spl0_382)),
% 6.93/1.23 inference(component_clause,[status(thm)],[f3234])).
% 6.93/1.23 fof(f3237,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|sdtlseqdt0(xm,sdtpldt0(sdtpldt0(xp,X0),sz00))|~spl0_375)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3214,f114])).
% 6.93/1.23 fof(f3238,plain,(
% 6.93/1.23 spl0_382|~spl0_2|~spl0_375),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3237,f3234,f208,f3189])).
% 6.93/1.23 fof(f3240,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|sdtlseqdt0(xm,sdtpldt0(sdtpldt0(xp,X0),sz00))|~spl0_382)),
% 6.93/1.23 inference(duplicate_literals_removal,[status(esa)],[f3235])).
% 6.93/1.23 fof(f3241,plain,(
% 6.93/1.23 spl0_383 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X1)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),X1)|~sdtlseqdt0(X1,xm)|xm=sdtpldt0(sz00,sdtpldt0(xp,X0))),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3244,plain,(
% 6.93/1.23 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),X1)|~sdtlseqdt0(X1,xm)|xm=sdtpldt0(sz00,sdtpldt0(xp,X0))|~spl0_380)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3228,f498])).
% 6.93/1.23 fof(f3245,plain,(
% 6.93/1.23 spl0_383|~spl0_2|~spl0_380),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3244,f3241,f208,f3222])).
% 6.93/1.23 fof(f3246,plain,(
% 6.93/1.23 spl0_384 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(X1,xm)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),X1)|sdtpldt0(sz00,sdtpldt0(xp,X0))=X1),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3249,plain,(
% 6.93/1.23 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(X1,xm)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),X1)|sdtpldt0(sz00,sdtpldt0(xp,X0))=X1|~spl0_380)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3228,f498])).
% 6.93/1.23 fof(f3250,plain,(
% 6.93/1.23 spl0_384|~spl0_2|~spl0_380),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3249,f3246,f208,f3222])).
% 6.93/1.23 fof(f3251,plain,(
% 6.93/1.23 spl0_385 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(X1,xm)|sdtlseqdt0(X1,sdtpldt0(sz00,sdtpldt0(xp,X0)))),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3254,plain,(
% 6.93/1.23 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(X1,xm)|sdtlseqdt0(X1,sdtpldt0(sz00,sdtpldt0(xp,X0)))|~spl0_380)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3228,f111])).
% 6.93/1.23 fof(f3255,plain,(
% 6.93/1.23 spl0_385|~spl0_2|~spl0_380),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3254,f3251,f208,f3222])).
% 6.93/1.23 fof(f3256,plain,(
% 6.93/1.23 spl0_386 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),xm)|sdtpldt0(sz00,sdtpldt0(xp,X0))=xm),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3259,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(xm)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),xm)|sdtpldt0(sz00,sdtpldt0(xp,X0))=xm|~spl0_380)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3228,f109])).
% 6.93/1.23 fof(f3260,plain,(
% 6.93/1.23 spl0_386|~spl0_2|~spl0_380),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3259,f3256,f208,f3222])).
% 6.93/1.23 fof(f3264,plain,(
% 6.93/1.23 spl0_387 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X1)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),X1)|~sdtlseqdt0(X1,xm)|xm=sdtpldt0(sdtpldt0(xp,X0),sz00)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3267,plain,(
% 6.93/1.23 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),X1)|~sdtlseqdt0(X1,xm)|xm=sdtpldt0(sdtpldt0(xp,X0),sz00)|~spl0_382)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3240,f498])).
% 6.93/1.23 fof(f3268,plain,(
% 6.93/1.23 spl0_387|~spl0_2|~spl0_382),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3267,f3264,f208,f3234])).
% 6.93/1.23 fof(f3269,plain,(
% 6.93/1.23 spl0_388 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(X1,xm)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),X1)|sdtpldt0(sdtpldt0(xp,X0),sz00)=X1),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3272,plain,(
% 6.93/1.23 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(X1,xm)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),X1)|sdtpldt0(sdtpldt0(xp,X0),sz00)=X1|~spl0_382)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3240,f498])).
% 6.93/1.23 fof(f3273,plain,(
% 6.93/1.23 spl0_388|~spl0_2|~spl0_382),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3272,f3269,f208,f3234])).
% 6.93/1.23 fof(f3274,plain,(
% 6.93/1.23 spl0_389 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(X1,xm)|sdtlseqdt0(X1,sdtpldt0(sdtpldt0(xp,X0),sz00))),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3277,plain,(
% 6.93/1.23 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(X1,xm)|sdtlseqdt0(X1,sdtpldt0(sdtpldt0(xp,X0),sz00))|~spl0_382)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3240,f111])).
% 6.93/1.23 fof(f3278,plain,(
% 6.93/1.23 spl0_389|~spl0_2|~spl0_382),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3277,f3274,f208,f3234])).
% 6.93/1.23 fof(f3279,plain,(
% 6.93/1.23 spl0_390 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),xm)|sdtpldt0(sdtpldt0(xp,X0),sz00)=xm),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3282,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(xm)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),xm)|sdtpldt0(sdtpldt0(xp,X0),sz00)=xm|~spl0_382)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3240,f109])).
% 6.93/1.23 fof(f3283,plain,(
% 6.93/1.23 spl0_390|~spl0_2|~spl0_382),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3282,f3279,f208,f3234])).
% 6.93/1.23 fof(f3287,plain,(
% 6.93/1.23 spl0_391 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~aNaturalNumber0(X2)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),X1),X2)|~sdtlseqdt0(X2,xm)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3290,plain,(
% 6.93/1.23 ![X0,X1,X2]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~aNaturalNumber0(X2)|~aNaturalNumber0(xm)|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),X1),X2)|~sdtlseqdt0(X2,xm)|~spl0_376)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3215,f111])).
% 6.93/1.23 fof(f3291,plain,(
% 6.93/1.23 spl0_391|~spl0_2|~spl0_376),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3290,f3287,f208,f3194])).
% 6.93/1.23 fof(f3292,plain,(
% 6.93/1.23 spl0_392 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|sdtlseqdt0(xm,sdtpldt0(sdtpldt0(xp,X0),X1))),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3295,plain,(
% 6.93/1.23 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),X1))|sdtlseqdt0(xm,sdtpldt0(sdtpldt0(xp,X0),X1))|~spl0_376)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3215,f114])).
% 6.93/1.23 fof(f3296,plain,(
% 6.93/1.23 spl0_392|~spl0_2|~spl0_376),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3295,f3292,f208,f3194])).
% 6.93/1.23 fof(f3299,plain,(
% 6.93/1.23 spl0_393 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X2)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),X2)|~sdtlseqdt0(X2,xm)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3302,plain,(
% 6.93/1.23 ![X0,X1,X2]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X2)|~aNaturalNumber0(xm)|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(X0,X1)),X2)|~sdtlseqdt0(X2,xm)|~spl0_372)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3211,f111])).
% 6.93/1.23 fof(f3303,plain,(
% 6.93/1.23 spl0_393|~spl0_2|~spl0_372),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3302,f3299,f208,f3174])).
% 6.93/1.23 fof(f3304,plain,(
% 6.93/1.23 spl0_394 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|sdtlseqdt0(xm,sdtpldt0(sz00,sdtpldt0(X0,X1)))),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3307,plain,(
% 6.93/1.23 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(X0,X1)))|sdtlseqdt0(xm,sdtpldt0(sz00,sdtpldt0(X0,X1)))|~spl0_372)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3211,f114])).
% 6.93/1.23 fof(f3308,plain,(
% 6.93/1.23 spl0_394|~spl0_2|~spl0_372),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3307,f3304,f208,f3174])).
% 6.93/1.23 fof(f3311,plain,(
% 6.93/1.23 spl0_395 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X2)|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),sz00),X2)|~sdtlseqdt0(X2,xm)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3314,plain,(
% 6.93/1.23 ![X0,X1,X2]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X2)|~aNaturalNumber0(xm)|~sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),sz00),X2)|~sdtlseqdt0(X2,xm)|~spl0_374)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3213,f111])).
% 6.93/1.23 fof(f3315,plain,(
% 6.93/1.23 spl0_395|~spl0_2|~spl0_374),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3314,f3311,f208,f3184])).
% 6.93/1.23 fof(f3316,plain,(
% 6.93/1.23 spl0_396 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|sdtlseqdt0(xm,sdtpldt0(sdtpldt0(X0,X1),sz00))),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3319,plain,(
% 6.93/1.23 ![X0,X1]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(xp,X0)|~aNaturalNumber0(xm)|~aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X1),sz00))|sdtlseqdt0(xm,sdtpldt0(sdtpldt0(X0,X1),sz00))|~spl0_374)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3213,f114])).
% 6.93/1.23 fof(f3320,plain,(
% 6.93/1.23 spl0_396|~spl0_2|~spl0_374),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3319,f3316,f208,f3184])).
% 6.93/1.23 fof(f3331,plain,(
% 6.93/1.23 spl0_397 <=> ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),xn)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|sdtpldt0(sz00,sdtpldt0(xp,X0))=xp),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3334,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~sdtlseqdt0(sdtpldt0(sz00,sdtpldt0(xp,X0)),xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(xp,X0)))|~aNaturalNumber0(X0)|sdtpldt0(sz00,sdtpldt0(xp,X0))=xp|~spl0_42)),
% 6.93/1.23 inference(resolution,[status(thm)],[f467,f2128])).
% 6.93/1.23 fof(f3335,plain,(
% 6.93/1.23 spl0_397|~spl0_3|~spl0_42),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3334,f3331,f211,f466])).
% 6.93/1.23 fof(f3343,plain,(
% 6.93/1.23 spl0_398 <=> ~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),xn)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|sdtpldt0(sdtpldt0(xp,X0),sz00)=xp),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3346,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~sdtlseqdt0(sdtpldt0(sdtpldt0(xp,X0),sz00),xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xp,X0),sz00))|~aNaturalNumber0(X0)|sdtpldt0(sdtpldt0(xp,X0),sz00)=xp|~spl0_42)),
% 6.93/1.23 inference(resolution,[status(thm)],[f467,f2102])).
% 6.93/1.23 fof(f3347,plain,(
% 6.93/1.23 spl0_398|~spl0_3|~spl0_42),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3346,f3343,f211,f466])).
% 6.93/1.23 fof(f3374,plain,(
% 6.93/1.23 ~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(xp)|spl0_21),
% 6.93/1.23 inference(resolution,[status(thm)],[f354,f324])).
% 6.93/1.23 fof(f3375,plain,(
% 6.93/1.23 ~spl0_10|~spl0_3|spl0_21),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3374,f244,f211,f322])).
% 6.93/1.23 fof(f3381,plain,(
% 6.93/1.23 spl0_402 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(xp,X0))|~sdtlseqdt0(sdtpldt0(xp,X0),xm)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3384,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(xp,X0))|~sdtlseqdt0(sdtpldt0(xp,X0),xm)|~spl0_45)),
% 6.93/1.23 inference(resolution,[status(thm)],[f354,f486])).
% 6.93/1.23 fof(f3385,plain,(
% 6.93/1.23 ~spl0_3|spl0_402|~spl0_45),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3384,f211,f3381,f485])).
% 6.93/1.23 fof(f3386,plain,(
% 6.93/1.23 spl0_403 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(xp,X0))|~sdtlseqdt0(sdtpldt0(xp,X0),xn)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3389,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(xp,X0))|~sdtlseqdt0(sdtpldt0(xp,X0),xn)|~spl0_46)),
% 6.93/1.23 inference(resolution,[status(thm)],[f354,f491])).
% 6.93/1.23 fof(f3390,plain,(
% 6.93/1.23 ~spl0_3|spl0_403|~spl0_46),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3389,f211,f3386,f490])).
% 6.93/1.23 fof(f3412,plain,(
% 6.93/1.23 ~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(sdtpldt0(xn,xm))|~sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))|sdtpldt0(xn,xm)=sdtpldt0(xn,xm)|~spl0_32),
% 6.93/1.23 inference(resolution,[status(thm)],[f404,f498])).
% 6.93/1.23 fof(f3413,plain,(
% 6.93/1.23 ~spl0_10|~spl0_32|spl0_36),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3412,f244,f403,f428])).
% 6.93/1.23 fof(f3421,plain,(
% 6.93/1.23 spl0_405 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|~sdtlseqdt0(sdtpldt0(xn,xm),X0)|sdtpldt0(xn,xm)=X0),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3424,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(sdtpldt0(xn,xm))|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|~sdtlseqdt0(sdtpldt0(xn,xm),X0)|sdtpldt0(xn,xm)=X0|~spl0_32)),
% 6.93/1.23 inference(resolution,[status(thm)],[f404,f498])).
% 6.93/1.23 fof(f3425,plain,(
% 6.93/1.23 spl0_405|~spl0_10|~spl0_32),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3424,f3421,f244,f403])).
% 6.93/1.23 fof(f3426,plain,(
% 6.93/1.23 spl0_406 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|sdtlseqdt0(X0,sdtpldt0(xn,xm))),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3429,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(sdtpldt0(xn,xm))|~sdtlseqdt0(X0,sdtpldt0(xn,xm))|sdtlseqdt0(X0,sdtpldt0(xn,xm))|~spl0_32)),
% 6.93/1.23 inference(resolution,[status(thm)],[f404,f111])).
% 6.93/1.23 fof(f3430,plain,(
% 6.93/1.23 spl0_406|~spl0_10|~spl0_32),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3429,f3426,f244,f403])).
% 6.93/1.23 fof(f3457,plain,(
% 6.93/1.23 spl0_411 <=> aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtpldt0(xn,xm),xp)))),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3459,plain,(
% 6.93/1.23 ~aNaturalNumber0(sdtpldt0(sz00,sdtpldt0(sdtpldt0(xn,xm),xp)))|spl0_411),
% 6.93/1.23 inference(component_clause,[status(thm)],[f3457])).
% 6.93/1.23 fof(f3467,plain,(
% 6.93/1.23 spl0_413 <=> aNaturalNumber0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xp),sz00))),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3469,plain,(
% 6.93/1.23 ~aNaturalNumber0(sdtpldt0(sdtpldt0(sdtpldt0(xn,xm),xp),sz00))|spl0_413),
% 6.93/1.23 inference(component_clause,[status(thm)],[f3467])).
% 6.93/1.23 fof(f3487,plain,(
% 6.93/1.23 ~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|spl0_411),
% 6.93/1.23 inference(resolution,[status(thm)],[f3459,f60])).
% 6.93/1.23 fof(f3488,plain,(
% 6.93/1.23 ~spl0_120|~spl0_7|spl0_411),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3487,f1246,f227,f3457])).
% 6.93/1.23 fof(f3489,plain,(
% 6.93/1.23 ~aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))|~aNaturalNumber0(sz00)|spl0_413),
% 6.93/1.23 inference(resolution,[status(thm)],[f3469,f60])).
% 6.93/1.23 fof(f3490,plain,(
% 6.93/1.23 ~spl0_7|~spl0_120|spl0_413),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3489,f227,f1246,f3467])).
% 6.93/1.23 fof(f3538,plain,(
% 6.93/1.23 ~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(sdtpldt0(xn,xm))|sdtlseqdt0(sdtpldt0(xn,xm),sdtpldt0(xn,xm))|spl0_32),
% 6.93/1.23 inference(resolution,[status(thm)],[f405,f114])).
% 6.93/1.23 fof(f3539,plain,(
% 6.93/1.23 ~spl0_10|spl0_32),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3538,f244,f403])).
% 6.93/1.23 fof(f3562,plain,(
% 6.93/1.23 spl0_425 <=> sz10=sz10),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3565,plain,(
% 6.93/1.23 spl0_426 <=> sdtlseqdt0(sz10,sz10)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3566,plain,(
% 6.93/1.23 sdtlseqdt0(sz10,sz10)|~spl0_426),
% 6.93/1.23 inference(component_clause,[status(thm)],[f3565])).
% 6.93/1.23 fof(f3567,plain,(
% 6.93/1.23 ~sdtlseqdt0(sz10,sz10)|spl0_426),
% 6.93/1.23 inference(component_clause,[status(thm)],[f3565])).
% 6.93/1.23 fof(f3570,plain,(
% 6.93/1.23 spl0_427 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,sz10)|sz10=X0),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3573,plain,(
% 6.93/1.23 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,sz10)|sz10=X0)),
% 6.93/1.23 inference(resolution,[status(thm)],[f127,f498])).
% 6.93/1.23 fof(f3574,plain,(
% 6.93/1.23 spl0_427|~spl0_122),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3573,f3570,f1276])).
% 6.93/1.23 fof(f3577,plain,(
% 6.93/1.23 spl0_428 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,sz10)|~sdtlseqdt0(X0,X1)|X0=X1),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3580,plain,(
% 6.93/1.23 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,sz10)|~sdtlseqdt0(X0,X1)|X0=X1)),
% 6.93/1.23 inference(resolution,[status(thm)],[f127,f498])).
% 6.93/1.23 fof(f3581,plain,(
% 6.93/1.23 spl0_428|~spl0_122),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3580,f3577,f1276])).
% 6.93/1.23 fof(f3582,plain,(
% 6.93/1.23 spl0_429 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,sz10)|sdtlseqdt0(X1,X0)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3585,plain,(
% 6.93/1.23 ![X0,X1]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X0)|~sdtlseqdt0(X1,sz10)|sdtlseqdt0(X1,X0))),
% 6.93/1.23 inference(resolution,[status(thm)],[f127,f111])).
% 6.93/1.23 fof(f3586,plain,(
% 6.93/1.23 spl0_429|~spl0_122),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3585,f3582,f1276])).
% 6.93/1.23 fof(f3587,plain,(
% 6.93/1.23 spl0_430 <=> ~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz10)|X0=sz10),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3590,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|~aNaturalNumber0(X0)|~aNaturalNumber0(sz10)|~sdtlseqdt0(X0,sz10)|X0=sz10)),
% 6.93/1.23 inference(resolution,[status(thm)],[f127,f109])).
% 6.93/1.23 fof(f3591,plain,(
% 6.93/1.23 spl0_430|~spl0_122),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3590,f3587,f1276])).
% 6.93/1.23 fof(f3607,plain,(
% 6.93/1.23 spl0_432 <=> ~aNaturalNumber0(X0)|~doDivides0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_1(sz00,X0))|X0=sz00|sk0_1(sz00,X0)=sz00),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3610,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|~doDivides0(X0,sz00)|~aNaturalNumber0(X0)|~aNaturalNumber0(sk0_1(sz00,X0))|X0=sz00|sk0_1(sz00,X0)=sz00)),
% 6.93/1.23 inference(resolution,[status(thm)],[f138,f93])).
% 6.93/1.23 fof(f3611,plain,(
% 6.93/1.23 spl0_432|~spl0_120),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3610,f3607,f1246])).
% 6.93/1.23 fof(f3638,plain,(
% 6.93/1.23 spl0_435 <=> ~aNaturalNumber0(X0)|doDivides0(sz10,X0)|~aNaturalNumber0(X0)|~aNaturalNumber0(X0)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3641,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(sz10)|~aNaturalNumber0(X0)|doDivides0(sz10,X0)|~aNaturalNumber0(X0)|~aNaturalNumber0(X0))),
% 6.93/1.23 inference(resolution,[status(thm)],[f139,f76])).
% 6.93/1.23 fof(f3642,plain,(
% 6.93/1.23 ~spl0_122|spl0_435),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3641,f1276,f3638])).
% 6.93/1.23 fof(f3652,plain,(
% 6.93/1.23 spl0_436 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|doDivides0(X0,X0)|~aNaturalNumber0(X0)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3655,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|doDivides0(X0,X0)|~aNaturalNumber0(sz10)|~aNaturalNumber0(X0))),
% 6.93/1.23 inference(resolution,[status(thm)],[f139,f75])).
% 6.93/1.23 fof(f3656,plain,(
% 6.93/1.23 spl0_436|~spl0_122),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3655,f3652,f1276])).
% 6.93/1.23 fof(f3657,plain,(
% 6.93/1.23 spl0_437 <=> ~aNaturalNumber0(X0)|doDivides0(X0,sz00)|~aNaturalNumber0(X0)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3660,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz00)|doDivides0(X0,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X0))),
% 6.93/1.23 inference(resolution,[status(thm)],[f139,f78])).
% 6.93/1.23 fof(f3661,plain,(
% 6.93/1.23 spl0_437|~spl0_120),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3660,f3657,f1246])).
% 6.93/1.23 fof(f3678,plain,(
% 6.93/1.23 spl0_438 <=> doDivides0(xp,sdtasdt0(xn,xm))),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3680,plain,(
% 6.93/1.23 ~doDivides0(xp,sdtasdt0(xn,xm))|spl0_438),
% 6.93/1.23 inference(component_clause,[status(thm)],[f3678])).
% 6.93/1.23 fof(f3681,plain,(
% 6.93/1.23 ~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))|xp=sz00|~doDivides0(xp,sdtasdt0(xn,xm))|aNaturalNumber0(xk)),
% 6.93/1.23 inference(resolution,[status(thm)],[f143,f184])).
% 6.93/1.23 fof(f3682,plain,(
% 6.93/1.23 ~spl0_3|~spl0_90|spl0_294|~spl0_438|spl0_60),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3681,f211,f889,f2667,f3678,f663])).
% 6.93/1.23 fof(f3690,plain,(
% 6.93/1.23 spl0_439 <=> ~X0=xk|aNaturalNumber0(X0)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3693,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))|xp=sz00|~doDivides0(xp,sdtasdt0(xn,xm))|~X0=xk|aNaturalNumber0(X0))),
% 6.93/1.23 inference(paramodulation,[status(thm)],[f184,f143])).
% 6.93/1.23 fof(f3694,plain,(
% 6.93/1.23 ~spl0_3|~spl0_90|spl0_294|~spl0_438|spl0_439),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3693,f211,f889,f2667,f3678,f3690])).
% 6.93/1.23 fof(f3696,plain,(
% 6.93/1.23 $false|spl0_438),
% 6.93/1.23 inference(forward_subsumption_resolution,[status(thm)],[f3680,f177])).
% 6.93/1.23 fof(f3697,plain,(
% 6.93/1.23 spl0_438),
% 6.93/1.23 inference(contradiction_clause,[status(thm)],[f3696])).
% 6.93/1.23 fof(f3698,plain,(
% 6.93/1.23 spl0_440 <=> sdtasdt0(xn,xm)=sdtasdt0(xp,xk)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3701,plain,(
% 6.93/1.23 ~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))|xp=sz00|~doDivides0(xp,sdtasdt0(xn,xm))|sdtasdt0(xn,xm)=sdtasdt0(xp,xk)),
% 6.93/1.23 inference(resolution,[status(thm)],[f144,f184])).
% 6.93/1.23 fof(f3702,plain,(
% 6.93/1.23 ~spl0_3|~spl0_90|spl0_294|~spl0_438|spl0_440),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3701,f211,f889,f2667,f3678,f3698])).
% 6.93/1.23 fof(f3710,plain,(
% 6.93/1.23 spl0_441 <=> ~X0=xk|sdtasdt0(xn,xm)=sdtasdt0(xp,X0)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3713,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))|xp=sz00|~doDivides0(xp,sdtasdt0(xn,xm))|~X0=xk|sdtasdt0(xn,xm)=sdtasdt0(xp,X0))),
% 6.93/1.23 inference(paramodulation,[status(thm)],[f184,f144])).
% 6.93/1.23 fof(f3714,plain,(
% 6.93/1.23 ~spl0_3|~spl0_90|spl0_294|~spl0_438|spl0_441),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3713,f211,f889,f2667,f3678,f3710])).
% 6.93/1.23 fof(f3716,plain,(
% 6.93/1.23 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|X2=sdtsldt0(X1,X0)|~aNaturalNumber0(X2)|~X1=sdtasdt0(X0,X2))),
% 6.93/1.23 inference(forward_subsumption_resolution,[status(thm)],[f145,f139])).
% 6.93/1.23 fof(f3731,plain,(
% 6.93/1.23 spl0_443 <=> X0=xk|~aNaturalNumber0(X0)|~sdtasdt0(xn,xm)=sdtasdt0(xp,X0)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3734,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))|xp=sz00|X0=xk|~aNaturalNumber0(X0)|~sdtasdt0(xn,xm)=sdtasdt0(xp,X0))),
% 6.93/1.23 inference(paramodulation,[status(thm)],[f184,f3716])).
% 6.93/1.23 fof(f3735,plain,(
% 6.93/1.23 ~spl0_3|~spl0_90|spl0_294|spl0_443),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3734,f211,f889,f2667,f3731])).
% 6.93/1.23 fof(f3736,plain,(
% 6.93/1.23 spl0_444 <=> ~aNaturalNumber0(X0)|~doDivides0(X0,xr)|doDivides0(X0,sdtasdt0(xn,xm))),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3739,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtasdt0(xn,xm))|~doDivides0(X0,xr)|doDivides0(X0,sdtasdt0(xn,xm)))),
% 6.93/1.23 inference(resolution,[status(thm)],[f147,f194])).
% 6.93/1.23 fof(f3740,plain,(
% 6.93/1.23 spl0_444|~spl0_11|~spl0_90),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3739,f3736,f247,f889])).
% 6.93/1.23 fof(f3741,plain,(
% 6.93/1.23 spl0_445 <=> ~aNaturalNumber0(X0)|~doDivides0(X0,xr)|doDivides0(X0,xk)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3744,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xr)|~aNaturalNumber0(xk)|~doDivides0(X0,xr)|doDivides0(X0,xk))),
% 6.93/1.23 inference(resolution,[status(thm)],[f147,f191])).
% 6.93/1.23 fof(f3745,plain,(
% 6.93/1.23 spl0_445|~spl0_11|~spl0_60),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3744,f3741,f247,f663])).
% 6.93/1.23 fof(f3746,plain,(
% 6.93/1.23 spl0_446 <=> ~aNaturalNumber0(X0)|~doDivides0(X0,xp)|doDivides0(X0,sdtasdt0(xn,xm))),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f3749,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))|~doDivides0(X0,xp)|doDivides0(X0,sdtasdt0(xn,xm)))),
% 6.93/1.23 inference(resolution,[status(thm)],[f147,f177])).
% 6.93/1.23 fof(f3750,plain,(
% 6.93/1.23 spl0_446|~spl0_3|~spl0_90),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3749,f3746,f211,f889])).
% 6.93/1.23 fof(f3810,plain,(
% 6.93/1.23 ~aNaturalNumber0(sdtpldt0(xn,xm))|~aNaturalNumber0(xr)|~aNaturalNumber0(xp)|xr=xp|~spl0_0),
% 6.93/1.23 inference(resolution,[status(thm)],[f200,f84])).
% 6.93/1.23 fof(f3811,plain,(
% 6.93/1.23 ~spl0_10|~spl0_11|~spl0_3|spl0_54|~spl0_0),
% 6.93/1.23 inference(split_clause,[status(thm)],[f3810,f244,f247,f211,f582,f199])).
% 6.93/1.23 fof(f4933,plain,(
% 6.93/1.23 ~aNaturalNumber0(sz10)|~aNaturalNumber0(sz10)|sdtlseqdt0(sz10,sz10)|spl0_426),
% 6.93/1.23 inference(resolution,[status(thm)],[f3567,f114])).
% 6.93/1.23 fof(f4934,plain,(
% 6.93/1.23 ~spl0_122|spl0_426),
% 6.93/1.23 inference(split_clause,[status(thm)],[f4933,f1276,f3565])).
% 6.93/1.23 fof(f4988,plain,(
% 6.93/1.23 ~aNaturalNumber0(sz10)|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz10)|~sdtlseqdt0(sz10,sz10)|sz10=sz10|~spl0_426),
% 6.93/1.23 inference(resolution,[status(thm)],[f3566,f498])).
% 6.93/1.23 fof(f4989,plain,(
% 6.93/1.23 ~spl0_122|~spl0_426|spl0_425),
% 6.93/1.23 inference(split_clause,[status(thm)],[f4988,f1276,f3565,f3562])).
% 6.93/1.23 fof(f4994,plain,(
% 6.93/1.23 spl0_570 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz10)|~sdtlseqdt0(sz10,X0)|sz10=X0),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f4997,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz10)|~sdtlseqdt0(X0,sz10)|~sdtlseqdt0(sz10,X0)|sz10=X0|~spl0_426)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3566,f498])).
% 6.93/1.23 fof(f4998,plain,(
% 6.93/1.23 spl0_570|~spl0_122|~spl0_426),
% 6.93/1.23 inference(split_clause,[status(thm)],[f4997,f4994,f1276,f3565])).
% 6.93/1.23 fof(f4999,plain,(
% 6.93/1.23 spl0_571 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sz10)|sdtlseqdt0(X0,sz10)),
% 6.93/1.23 introduced(split_symbol_definition)).
% 6.93/1.23 fof(f5002,plain,(
% 6.93/1.23 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sz10)|~aNaturalNumber0(sz10)|~sdtlseqdt0(X0,sz10)|sdtlseqdt0(X0,sz10)|~spl0_426)),
% 6.93/1.23 inference(resolution,[status(thm)],[f3566,f111])).
% 6.93/1.23 fof(f5003,plain,(
% 6.93/1.23 spl0_571|~spl0_122|~spl0_426),
% 6.93/1.23 inference(split_clause,[status(thm)],[f5002,f4999,f1276,f3565])).
% 6.93/1.23 fof(f5006,plain,(
% 6.93/1.23 ~aNaturalNumber0(xn)|~aNaturalNumber0(xm)|spl0_90),
% 6.93/1.23 inference(resolution,[status(thm)],[f891,f62])).
% 6.93/1.23 fof(f5007,plain,(
% 6.93/1.23 ~spl0_5|~spl0_2|spl0_90),
% 6.93/1.23 inference(split_clause,[status(thm)],[f5006,f219,f208,f889])).
% 6.93/1.23 fof(f5008,plain,(
% 6.93/1.23 $false|~spl0_291),
% 6.93/1.23 inference(forward_subsumption_resolution,[status(thm)],[f2651,f195])).
% 6.93/1.23 fof(f5009,plain,(
% 6.93/1.23 ~spl0_291),
% 6.93/1.23 inference(contradiction_clause,[status(thm)],[f5008])).
% 6.93/1.23 fof(f5044,plain,(
% 6.93/1.23 sdtlseqdt0(xp,xk)|~spl0_62|~spl0_57),
% 6.93/1.23 inference(backward_demodulation,[status(thm)],[f670,f604])).
% 6.93/1.23 fof(f5045,plain,(
% 6.93/1.23 spl0_267|~spl0_62|~spl0_57),
% 6.93/1.23 inference(split_clause,[status(thm)],[f5044,f2432,f669,f603])).
% 6.93/1.23 fof(f5050,plain,(
% 6.93/1.23 $false),
% 6.93/1.23 inference(sat_refutation,[status(thm)],[f205,f218,f226,f239,f241,f243,f251,f253,f255,f289,f395,f460,f465,f470,f489,f494,f518,f528,f533,f589,f602,f619,f673,f678,f683,f688,f730,f737,f742,f747,f794,f799,f842,f852,f862,f899,f904,f909,f911,f915,f931,f986,f1154,f1232,f1250,f1255,f1263,f1286,f1290,f1292,f1294,f1300,f1310,f1315,f1325,f1498,f1504,f1513,f1518,f1728,f1735,f1740,f1745,f1776,f1782,f1791,f1796,f1995,f2282,f2388,f2405,f2416,f2436,f2451,f2475,f2504,f2511,f2516,f2521,f2575,f2580,f2597,f2602,f2611,f2624,f2642,f2654,f2659,f2664,f2666,f2671,f2673,f2744,f2759,f2768,f2773,f2778,f2783,f2788,f2793,f2798,f2800,f2812,f2817,f2824,f2829,f2836,f2841,f2846,f2851,f2859,f2864,f2869,f2874,f2882,f2887,f2894,f2899,f2906,f2911,f2931,f2955,f2964,f2971,f2976,f2981,f3169,f3178,f3183,f3188,f3193,f3198,f3203,f3208,f3210,f3221,f3226,f3233,f3238,f3245,f3250,f3255,f3260,f3268,f3273,f3278,f3283,f3291,f3296,f3303,f3308,f3315,f3320,f3335,f3347,f3375,f3385,f3390,f3413,f3425,f3430,f3488,f3490,f3539,f3574,f3581,f3586,f3591,f3611,f3642,f3656,f3661,f3682,f3694,f3697,f3702,f3714,f3735,f3740,f3745,f3750,f3811,f4934,f4989,f4998,f5003,f5007,f5009,f5045])).
% 6.93/1.23 % SZS output end CNFRefutation for theBenchmark.p
% 6.93/1.23 % Elapsed time: 0.914942 seconds
% 6.93/1.23 % CPU time: 7.100836 seconds
% 6.93/1.23 % Total memory used: 120.836 MB
% 6.93/1.23 % Net memory used: 116.337 MB
%------------------------------------------------------------------------------