TSTP Solution File: NUM503+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM503+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:29:26 EDT 2023
% Result : Theorem 171.73s 22.03s
% Output : CNFRefutation 172.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM503+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:19:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 171.73/22.03 % Refutation found
% 171.73/22.03 % SZS status Theorem for theBenchmark: Theorem is valid
% 171.73/22.03 % SZS output start CNFRefutation for theBenchmark
% 171.73/22.03 fof(f2,axiom,(
% 171.73/22.03 aNaturalNumber0(sz00) ),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f3,axiom,(
% 171.73/22.03 ( aNaturalNumber0(sz10)& sz10 != sz00 ) ),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f4,axiom,(
% 171.73/22.03 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f5,axiom,(
% 171.73/22.03 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f12,axiom,(
% 171.73/22.03 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f14,axiom,(
% 171.73/22.03 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)| sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )=> W1 = W2 ) ) )),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f15,axiom,(
% 171.73/22.03 (! [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 ) ) )) ) )),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f17,axiom,(
% 171.73/22.03 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtasdt0(W0,W1) = sz00=> ( W0 = sz00| W1 = sz00 ) ) ) )),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f21,axiom,(
% 171.73/22.03 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f22,axiom,(
% 171.73/22.03 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W2) )=> sdtlseqdt0(W0,W2) ) ) )),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f23,axiom,(
% 171.73/22.03 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)| ( W1 != W0& sdtlseqdt0(W1,W0) ) ) ) )),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f24,axiom,(
% 171.73/22.03 (! [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)) ) ) )) ) )),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f25,axiom,(
% 171.73/22.03 (! [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)) ) ) ) )),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f37,definition,(
% 171.73/22.03 (! [W0] :( aNaturalNumber0(W0)=> ( isPrime0(W0)<=> ( W0 != sz00& W0 != sz10& (! [W1] :( ( aNaturalNumber0(W1)& doDivides0(W1,W0) )=> ( W1 = sz10| W1 = W0 ) ) )) ) ) )),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f39,hypothesis,(
% 171.73/22.03 ( aNaturalNumber0(xn)& aNaturalNumber0(xm)& aNaturalNumber0(xp) ) ),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f40,hypothesis,(
% 171.73/22.03 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( ( ( W2 != sz00& W2 != sz10& (! [W3] :( ( aNaturalNumber0(W3)& (? [W4] :( aNaturalNumber0(W4)& W2 = sdtasdt0(W3,W4) ))& doDivides0(W3,W2) )=> ( W3 = sz10| W3 = W2 ) ) ))| isPrime0(W2) )& ( (? [W3] :( aNaturalNumber0(W3)& sdtasdt0(W0,W1) = sdtasdt0(W2,W3) ))| doDivides0(W2,sdtasdt0(W0,W1)) ) )=> ( iLess0(sdtpldt0(sdtpldt0(W0,W1),W2),sdtpldt0(sdtpldt0(xn,xm),xp))=> ( ( (? [W3] :( aNaturalNumber0(W3)& W0 = sdtasdt0(W2,W3) ))& doDivides0(W2,W0) )| ( (? [W3] :( aNaturalNumber0(W3)& W1 = sdtasdt0(W2,W3) ))& doDivides0(W2,W1) ) ) ) ) ) )),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f41,hypothesis,(
% 171.73/22.03 ( xp != sz00& xp != sz10& (! [W0] :( ( aNaturalNumber0(W0)& ( (? [W1] :( aNaturalNumber0(W1)& xp = sdtasdt0(W0,W1) ))| doDivides0(W0,xp) ) )=> ( W0 = sz10| W0 = xp ) ))& isPrime0(xp)& (? [W0] :( aNaturalNumber0(W0)& sdtasdt0(xn,xm) = sdtasdt0(xp,W0) ))& doDivides0(xp,sdtasdt0(xn,xm)) ) ),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f42,hypothesis,(
% 171.73/22.03 ~ ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xp,W0) = xn ))| sdtlseqdt0(xp,xn) ) ),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f43,hypothesis,(
% 171.73/22.03 ~ ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xp,W0) = xm ))| sdtlseqdt0(xp,xm) ) ),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f44,hypothesis,(
% 171.73/22.03 ( xn != xp& (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xn,W0) = xp ))& sdtlseqdt0(xn,xp)& xm != xp& (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xm,W0) = xp ))& sdtlseqdt0(xm,xp) ) ),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f45,hypothesis,(
% 171.73/22.03 ( aNaturalNumber0(xk)& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ) ),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f46,hypothesis,(
% 171.73/22.03 ~ ( xk = sz00| xk = sz10 ) ),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f48,hypothesis,(
% 171.73/22.03 ( aNaturalNumber0(xr)& (? [W0] :( aNaturalNumber0(W0)& xk = sdtasdt0(xr,W0) ))& doDivides0(xr,xk)& xr != sz00& xr != sz10& (! [W0] :( ( aNaturalNumber0(W0)& ( (? [W1] :( aNaturalNumber0(W1)& xr = sdtasdt0(W0,W1) ))| doDivides0(W0,xr) ) )=> ( W0 = sz10| W0 = xr ) ))& isPrime0(xr) ) ),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f49,hypothesis,(
% 171.73/22.03 ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xr,W0) = xk ))& (? [W0] :( aNaturalNumber0(W0)& sdtasdt0(xn,xm) = sdtasdt0(xr,W0) ))& doDivides0(xr,sdtasdt0(xn,xm)) ) ),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f50,hypothesis,(
% 171.73/22.03 ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xp,W0) = xk ))& sdtlseqdt0(xp,xk) ) ),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f51,conjecture,(
% 171.73/22.03 ( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)& ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(sdtasdt0(xn,xm),W0) = sdtasdt0(xp,xm) ))| sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) )& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)& ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(sdtasdt0(xp,xm),W0) = sdtasdt0(xp,xk) ))| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ) ) ),
% 171.73/22.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 171.73/22.03 fof(f52,negated_conjecture,(
% 171.73/22.03 ~(( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)& ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(sdtasdt0(xn,xm),W0) = sdtasdt0(xp,xm) ))| sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) )& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)& ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(sdtasdt0(xp,xm),W0) = sdtasdt0(xp,xk) ))| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ) ) )),
% 171.73/22.03 inference(negated_conjecture,[status(cth)],[f51])).
% 171.73/22.03 fof(f56,plain,(
% 171.73/22.03 aNaturalNumber0(sz00)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f2])).
% 171.73/22.03 fof(f57,plain,(
% 171.73/22.03 aNaturalNumber0(sz10)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f3])).
% 171.73/22.03 fof(f59,plain,(
% 171.73/22.03 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 171.73/22.03 fof(f60,plain,(
% 171.73/22.03 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f59])).
% 171.73/22.03 fof(f61,plain,(
% 171.73/22.03 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 171.73/22.03 fof(f62,plain,(
% 171.73/22.03 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f61])).
% 171.73/22.03 fof(f77,plain,(
% 171.73/22.03 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 171.73/22.03 fof(f78,plain,(
% 171.73/22.03 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz00)=sz00)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f77])).
% 171.73/22.03 fof(f83,plain,(
% 171.73/22.03 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtpldt0(W0,W1)=sdtpldt0(W0,W2)&~sdtpldt0(W1,W0)=sdtpldt0(W2,W0))|W1=W2))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 171.73/22.03 fof(f85,plain,(
% 171.73/22.03 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtpldt0(X1,X0)=sdtpldt0(X2,X0)|X1=X2)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f83])).
% 171.73/22.03 fof(f86,plain,(
% 171.73/22.03 ![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)))))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 171.73/22.03 fof(f88,plain,(
% 171.73/22.03 ![X0,X1,X2]: (~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtasdt0(X1,X0)=sdtasdt0(X2,X0)|X1=X2)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f86])).
% 171.73/22.03 fof(f92,plain,(
% 171.73/22.03 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtasdt0(W0,W1)=sz00|(W0=sz00|W1=sz00)))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 171.73/22.03 fof(f93,plain,(
% 171.73/22.03 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtasdt0(X0,X1)=sz00|X0=sz00|X1=sz00)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f92])).
% 171.73/22.03 fof(f108,plain,(
% 171.73/22.03 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 171.73/22.03 fof(f109,plain,(
% 171.73/22.03 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f108])).
% 171.73/22.03 fof(f110,plain,(
% 171.73/22.03 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W2))|sdtlseqdt0(W0,W2)))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 171.73/22.03 fof(f111,plain,(
% 171.73/22.03 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X2)|sdtlseqdt0(X0,X2))),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f110])).
% 171.73/22.03 fof(f112,plain,(
% 171.73/22.03 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)|(~W1=W0&sdtlseqdt0(W1,W0))))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 171.73/22.03 fof(f114,plain,(
% 171.73/22.03 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f112])).
% 171.73/22.03 fof(f115,plain,(
% 171.73/22.03 ![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)))))))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 171.73/22.03 fof(f117,plain,(
% 171.73/22.03 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1)))),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f115])).
% 171.73/22.03 fof(f119,plain,(
% 171.73/22.03 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)))),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f115])).
% 171.73/22.03 fof(f120,plain,(
% 171.73/22.03 ![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)))))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 171.73/22.03 fof(f122,plain,(
% 171.73/22.03 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)))),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f120])).
% 171.73/22.03 fof(f124,plain,(
% 171.73/22.03 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)))),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f120])).
% 171.73/22.03 fof(f156,plain,(
% 171.73/22.03 ![W0]: (~aNaturalNumber0(W0)|(isPrime0(W0)<=>((~W0=sz00&~W0=sz10)&(![W1]: ((~aNaturalNumber0(W1)|~doDivides0(W1,W0))|(W1=sz10|W1=W0))))))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 171.73/22.03 fof(f157,plain,(
% 171.73/22.03 ![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)))))))),
% 171.73/22.03 inference(NNF_transformation,[status(esa)],[f156])).
% 171.73/22.03 fof(f158,plain,(
% 171.73/22.03 ![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))))))),
% 171.73/22.03 inference(skolemization,[status(esa)],[f157])).
% 171.73/22.03 fof(f159,plain,(
% 171.73/22.03 ![X0]: (~aNaturalNumber0(X0)|~isPrime0(X0)|~X0=sz00)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f158])).
% 171.73/22.03 fof(f160,plain,(
% 171.73/22.03 ![X0]: (~aNaturalNumber0(X0)|~isPrime0(X0)|~X0=sz10)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f158])).
% 171.73/22.03 fof(f171,plain,(
% 171.73/22.03 aNaturalNumber0(xn)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f39])).
% 171.73/22.03 fof(f172,plain,(
% 171.73/22.03 aNaturalNumber0(xm)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f39])).
% 171.73/22.03 fof(f173,plain,(
% 171.73/22.03 aNaturalNumber0(xp)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f39])).
% 171.73/22.03 fof(f174,plain,(
% 171.73/22.03 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|(((((W2=sz00|W2=sz10)|(?[W3]: (((aNaturalNumber0(W3)&(?[W4]: (aNaturalNumber0(W4)&W2=sdtasdt0(W3,W4))))&doDivides0(W3,W2))&(~W3=sz10&~W3=W2))))&~isPrime0(W2))|((![W3]: (~aNaturalNumber0(W3)|~sdtasdt0(W0,W1)=sdtasdt0(W2,W3)))&~doDivides0(W2,sdtasdt0(W0,W1))))|(~iLess0(sdtpldt0(sdtpldt0(W0,W1),W2),sdtpldt0(sdtpldt0(xn,xm),xp))|(((?[W3]: (aNaturalNumber0(W3)&W0=sdtasdt0(W2,W3)))&doDivides0(W2,W0))|((?[W3]: (aNaturalNumber0(W3)&W1=sdtasdt0(W2,W3)))&doDivides0(W2,W1))))))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f40])).
% 171.73/22.03 fof(f175,plain,(
% 171.73/22.03 ![W2]: (pd0_0(W2)=>(((W2=sz00|W2=sz10)|(?[W3]: (((aNaturalNumber0(W3)&(?[W4]: (aNaturalNumber0(W4)&W2=sdtasdt0(W3,W4))))&doDivides0(W3,W2))&(~W3=sz10&~W3=W2))))&~isPrime0(W2)))),
% 171.73/22.03 introduced(predicate_definition,[f174])).
% 171.73/22.03 fof(f185,plain,(
% 171.73/22.03 ((((~xp=sz00&~xp=sz10)&(![W0]: ((~aNaturalNumber0(W0)|((![W1]: (~aNaturalNumber0(W1)|~xp=sdtasdt0(W0,W1)))&~doDivides0(W0,xp)))|(W0=sz10|W0=xp))))&isPrime0(xp))&(?[W0]: (aNaturalNumber0(W0)&sdtasdt0(xn,xm)=sdtasdt0(xp,W0))))&doDivides0(xp,sdtasdt0(xn,xm))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f41])).
% 171.73/22.03 fof(f186,plain,(
% 171.73/22.03 ((((~xp=sz00&~xp=sz10)&(![W0]: ((~aNaturalNumber0(W0)|((![W1]: (~aNaturalNumber0(W1)|~xp=sdtasdt0(W0,W1)))&~doDivides0(W0,xp)))|(W0=sz10|W0=xp))))&isPrime0(xp))&(aNaturalNumber0(sk0_5)&sdtasdt0(xn,xm)=sdtasdt0(xp,sk0_5)))&doDivides0(xp,sdtasdt0(xn,xm))),
% 171.73/22.03 inference(skolemization,[status(esa)],[f185])).
% 171.73/22.03 fof(f187,plain,(
% 171.73/22.03 ~xp=sz00),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f186])).
% 171.73/22.03 fof(f188,plain,(
% 171.73/22.03 ~xp=sz10),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f186])).
% 171.73/22.03 fof(f191,plain,(
% 171.73/22.03 isPrime0(xp)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f186])).
% 171.73/22.03 fof(f193,plain,(
% 171.73/22.03 sdtasdt0(xn,xm)=sdtasdt0(xp,sk0_5)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f186])).
% 171.73/22.03 fof(f194,plain,(
% 171.73/22.03 doDivides0(xp,sdtasdt0(xn,xm))),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f186])).
% 171.73/22.03 fof(f195,plain,(
% 171.73/22.03 ((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(xp,W0)=xn))&~sdtlseqdt0(xp,xn))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 171.73/22.03 fof(f197,plain,(
% 171.73/22.03 ~sdtlseqdt0(xp,xn)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f195])).
% 171.73/22.03 fof(f198,plain,(
% 171.73/22.03 ((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(xp,W0)=xm))&~sdtlseqdt0(xp,xm))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f43])).
% 171.73/22.03 fof(f199,plain,(
% 171.73/22.03 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(xp,X0)=xm)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f198])).
% 171.73/22.03 fof(f201,plain,(
% 171.73/22.03 ((((~xn=xp&(aNaturalNumber0(sk0_6)&sdtpldt0(xn,sk0_6)=xp))&sdtlseqdt0(xn,xp))&~xm=xp)&(aNaturalNumber0(sk0_7)&sdtpldt0(xm,sk0_7)=xp))&sdtlseqdt0(xm,xp)),
% 171.73/22.03 inference(skolemization,[status(esa)],[f44])).
% 171.73/22.03 fof(f202,plain,(
% 171.73/22.03 ~xn=xp),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f201])).
% 171.73/22.03 fof(f203,plain,(
% 171.73/22.03 aNaturalNumber0(sk0_6)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f201])).
% 171.73/22.03 fof(f204,plain,(
% 171.73/22.03 sdtpldt0(xn,sk0_6)=xp),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f201])).
% 171.73/22.03 fof(f205,plain,(
% 171.73/22.03 sdtlseqdt0(xn,xp)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f201])).
% 171.73/22.03 fof(f206,plain,(
% 171.73/22.03 ~xm=xp),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f201])).
% 171.73/22.03 fof(f208,plain,(
% 171.73/22.03 sdtpldt0(xm,sk0_7)=xp),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f201])).
% 171.73/22.03 fof(f209,plain,(
% 171.73/22.03 sdtlseqdt0(xm,xp)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f201])).
% 171.73/22.03 fof(f210,plain,(
% 171.73/22.03 aNaturalNumber0(xk)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f45])).
% 171.73/22.03 fof(f211,plain,(
% 171.73/22.03 sdtasdt0(xn,xm)=sdtasdt0(xp,xk)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f45])).
% 171.73/22.03 fof(f212,plain,(
% 171.73/22.03 xk=sdtsldt0(sdtasdt0(xn,xm),xp)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f45])).
% 171.73/22.03 fof(f213,plain,(
% 171.73/22.03 (~xk=sz00&~xk=sz10)),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f46])).
% 171.73/22.03 fof(f214,plain,(
% 171.73/22.03 ~xk=sz00),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f213])).
% 171.73/22.03 fof(f215,plain,(
% 171.73/22.03 ~xk=sz10),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f213])).
% 171.73/22.03 fof(f218,plain,(
% 171.73/22.03 (((((aNaturalNumber0(xr)&(?[W0]: (aNaturalNumber0(W0)&xk=sdtasdt0(xr,W0))))&doDivides0(xr,xk))&~xr=sz00)&~xr=sz10)&(![W0]: ((~aNaturalNumber0(W0)|((![W1]: (~aNaturalNumber0(W1)|~xr=sdtasdt0(W0,W1)))&~doDivides0(W0,xr)))|(W0=sz10|W0=xr))))&isPrime0(xr)),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 171.73/22.03 fof(f219,plain,(
% 171.73/22.03 (((((aNaturalNumber0(xr)&(aNaturalNumber0(sk0_8)&xk=sdtasdt0(xr,sk0_8)))&doDivides0(xr,xk))&~xr=sz00)&~xr=sz10)&(![W0]: ((~aNaturalNumber0(W0)|((![W1]: (~aNaturalNumber0(W1)|~xr=sdtasdt0(W0,W1)))&~doDivides0(W0,xr)))|(W0=sz10|W0=xr))))&isPrime0(xr)),
% 171.73/22.03 inference(skolemization,[status(esa)],[f218])).
% 171.73/22.03 fof(f222,plain,(
% 171.73/22.03 xk=sdtasdt0(xr,sk0_8)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f219])).
% 171.73/22.03 fof(f223,plain,(
% 171.73/22.03 doDivides0(xr,xk)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f219])).
% 171.73/22.03 fof(f225,plain,(
% 171.73/22.03 ~xr=sz10),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f219])).
% 171.73/22.03 fof(f228,plain,(
% 171.73/22.03 isPrime0(xr)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f219])).
% 171.73/22.03 fof(f229,plain,(
% 171.73/22.03 ((aNaturalNumber0(sk0_9)&sdtpldt0(xr,sk0_9)=xk)&(aNaturalNumber0(sk0_10)&sdtasdt0(xn,xm)=sdtasdt0(xr,sk0_10)))&doDivides0(xr,sdtasdt0(xn,xm))),
% 171.73/22.03 inference(skolemization,[status(esa)],[f49])).
% 171.73/22.03 fof(f230,plain,(
% 171.73/22.03 aNaturalNumber0(sk0_9)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f229])).
% 171.73/22.03 fof(f231,plain,(
% 171.73/22.03 sdtpldt0(xr,sk0_9)=xk),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f229])).
% 171.73/22.03 fof(f233,plain,(
% 171.73/22.03 sdtasdt0(xn,xm)=sdtasdt0(xr,sk0_10)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f229])).
% 171.73/22.03 fof(f234,plain,(
% 171.73/22.03 doDivides0(xr,sdtasdt0(xn,xm))),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f229])).
% 171.73/22.03 fof(f235,plain,(
% 171.73/22.03 (aNaturalNumber0(sk0_11)&sdtpldt0(xp,sk0_11)=xk)&sdtlseqdt0(xp,xk)),
% 171.73/22.03 inference(skolemization,[status(esa)],[f50])).
% 171.73/22.03 fof(f236,plain,(
% 171.73/22.03 aNaturalNumber0(sk0_11)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f235])).
% 171.73/22.03 fof(f237,plain,(
% 171.73/22.03 sdtpldt0(xp,sk0_11)=xk),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f235])).
% 171.73/22.03 fof(f238,plain,(
% 171.73/22.03 sdtlseqdt0(xp,xk)),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f235])).
% 171.73/22.03 fof(f239,plain,(
% 171.73/22.03 (((sdtasdt0(xn,xm)=sdtasdt0(xp,xm)|((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(sdtasdt0(xn,xm),W0)=sdtasdt0(xp,xm)))&~sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))))|sdtasdt0(xp,xm)=sdtasdt0(xp,xk))|((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(sdtasdt0(xp,xm),W0)=sdtasdt0(xp,xk)))&~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f52])).
% 171.73/22.03 fof(f240,plain,(
% 171.73/22.03 pd0_2=>((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(sdtasdt0(xn,xm),W0)=sdtasdt0(xp,xm)))&~sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)))),
% 171.73/22.03 introduced(predicate_definition,[f239])).
% 171.73/22.03 fof(f241,plain,(
% 171.73/22.03 ((sdtasdt0(xn,xm)=sdtasdt0(xp,xm)|pd0_2)|sdtasdt0(xp,xm)=sdtasdt0(xp,xk))|((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(sdtasdt0(xp,xm),W0)=sdtasdt0(xp,xk)))&~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)))),
% 171.73/22.03 inference(formula_renaming,[status(thm)],[f239,f240])).
% 171.73/22.03 fof(f243,plain,(
% 171.73/22.03 sdtasdt0(xn,xm)=sdtasdt0(xp,xm)|pd0_2|sdtasdt0(xp,xm)=sdtasdt0(xp,xk)|~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f241])).
% 171.73/22.03 fof(f244,plain,(
% 171.73/22.03 ![W2]: (~pd0_0(W2)|(((W2=sz00|W2=sz10)|(?[W3]: (((aNaturalNumber0(W3)&(?[W4]: (aNaturalNumber0(W4)&W2=sdtasdt0(W3,W4))))&doDivides0(W3,W2))&(~W3=sz10&~W3=W2))))&~isPrime0(W2)))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f175])).
% 171.73/22.03 fof(f245,plain,(
% 171.73/22.03 ![W2]: (~pd0_0(W2)|(((W2=sz00|W2=sz10)|(((aNaturalNumber0(sk0_12(W2))&(aNaturalNumber0(sk0_13(W2))&W2=sdtasdt0(sk0_12(W2),sk0_13(W2))))&doDivides0(sk0_12(W2),W2))&(~sk0_12(W2)=sz10&~sk0_12(W2)=W2)))&~isPrime0(W2)))),
% 171.73/22.03 inference(skolemization,[status(esa)],[f244])).
% 171.73/22.03 fof(f252,plain,(
% 171.73/22.03 ![X0]: (~pd0_0(X0)|~isPrime0(X0))),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f245])).
% 171.73/22.03 fof(f258,plain,(
% 171.73/22.03 ~pd0_2|((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(sdtasdt0(xn,xm),W0)=sdtasdt0(xp,xm)))&~sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)))),
% 171.73/22.03 inference(pre_NNF_transformation,[status(esa)],[f240])).
% 171.73/22.03 fof(f260,plain,(
% 171.73/22.03 ~pd0_2|~sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))),
% 171.73/22.03 inference(cnf_transformation,[status(esa)],[f258])).
% 171.73/22.03 fof(f261,plain,(
% 171.73/22.03 spl0_0 <=> sdtasdt0(xn,xm)=sdtasdt0(xp,xm)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f262,plain,(
% 171.73/22.03 sdtasdt0(xn,xm)=sdtasdt0(xp,xm)|~spl0_0),
% 171.73/22.03 inference(component_clause,[status(thm)],[f261])).
% 171.73/22.03 fof(f264,plain,(
% 171.73/22.03 spl0_1 <=> pd0_2),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f267,plain,(
% 171.73/22.03 spl0_2 <=> sdtasdt0(xp,xm)=sdtasdt0(xp,xk)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f268,plain,(
% 171.73/22.03 sdtasdt0(xp,xm)=sdtasdt0(xp,xk)|~spl0_2),
% 171.73/22.03 inference(component_clause,[status(thm)],[f267])).
% 171.73/22.03 fof(f274,plain,(
% 171.73/22.03 spl0_4 <=> sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f276,plain,(
% 171.73/22.03 ~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))|spl0_4),
% 171.73/22.03 inference(component_clause,[status(thm)],[f274])).
% 171.73/22.03 fof(f277,plain,(
% 171.73/22.03 spl0_0|spl0_1|spl0_2|~spl0_4),
% 171.73/22.03 inference(split_clause,[status(thm)],[f243,f261,f264,f267,f274])).
% 171.73/22.03 fof(f282,plain,(
% 171.73/22.03 spl0_6 <=> sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f284,plain,(
% 171.73/22.03 ~sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))|spl0_6),
% 171.73/22.03 inference(component_clause,[status(thm)],[f282])).
% 171.73/22.03 fof(f285,plain,(
% 171.73/22.03 ~spl0_1|~spl0_6),
% 171.73/22.03 inference(split_clause,[status(thm)],[f260,f264,f282])).
% 171.73/22.03 fof(f296,plain,(
% 171.73/22.03 ~aNaturalNumber0(sz00)|~isPrime0(sz00)),
% 171.73/22.03 inference(destructive_equality_resolution,[status(esa)],[f159])).
% 171.73/22.03 fof(f297,plain,(
% 171.73/22.03 ~aNaturalNumber0(sz10)|~isPrime0(sz10)),
% 171.73/22.03 inference(destructive_equality_resolution,[status(esa)],[f160])).
% 171.73/22.03 fof(f298,plain,(
% 171.73/22.03 spl0_7 <=> aNaturalNumber0(xp)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f300,plain,(
% 171.73/22.03 ~aNaturalNumber0(xp)|spl0_7),
% 171.73/22.03 inference(component_clause,[status(thm)],[f298])).
% 171.73/22.03 fof(f301,plain,(
% 171.73/22.03 spl0_8 <=> aNaturalNumber0(xk)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f303,plain,(
% 171.73/22.03 ~aNaturalNumber0(xk)|spl0_8),
% 171.73/22.03 inference(component_clause,[status(thm)],[f301])).
% 171.73/22.03 fof(f309,plain,(
% 171.73/22.03 $false|spl0_8),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f303,f210])).
% 171.73/22.03 fof(f310,plain,(
% 171.73/22.03 spl0_8),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f309])).
% 171.73/22.03 fof(f311,plain,(
% 171.73/22.03 $false|spl0_7),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f300,f173])).
% 171.73/22.03 fof(f312,plain,(
% 171.73/22.03 spl0_7),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f311])).
% 171.73/22.03 fof(f314,plain,(
% 171.73/22.03 spl0_10 <=> aNaturalNumber0(xm)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f316,plain,(
% 171.73/22.03 ~aNaturalNumber0(xm)|spl0_10),
% 171.73/22.03 inference(component_clause,[status(thm)],[f314])).
% 171.73/22.03 fof(f322,plain,(
% 171.73/22.03 $false|spl0_10),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f316,f172])).
% 171.73/22.03 fof(f323,plain,(
% 171.73/22.03 spl0_10),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f322])).
% 171.73/22.03 fof(f325,plain,(
% 171.73/22.03 ~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))|spl0_4),
% 171.73/22.03 inference(backward_demodulation,[status(thm)],[f211,f276])).
% 171.73/22.03 fof(f340,plain,(
% 171.73/22.03 spl0_14 <=> aNaturalNumber0(xn)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f342,plain,(
% 171.73/22.03 ~aNaturalNumber0(xn)|spl0_14),
% 171.73/22.03 inference(component_clause,[status(thm)],[f340])).
% 171.73/22.03 fof(f343,plain,(
% 171.73/22.03 spl0_15 <=> sdtlseqdt0(xn,xp)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f346,plain,(
% 171.73/22.03 ~aNaturalNumber0(xn)|~aNaturalNumber0(xp)|sdtlseqdt0(xn,xp)),
% 171.73/22.03 inference(resolution,[status(thm)],[f114,f197])).
% 171.73/22.03 fof(f347,plain,(
% 171.73/22.03 ~spl0_14|~spl0_7|spl0_15),
% 171.73/22.03 inference(split_clause,[status(thm)],[f346,f340,f298,f343])).
% 171.73/22.03 fof(f348,plain,(
% 171.73/22.03 $false|spl0_14),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f342,f171])).
% 171.73/22.03 fof(f349,plain,(
% 171.73/22.03 spl0_14),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f348])).
% 171.73/22.03 fof(f361,plain,(
% 171.73/22.03 sdtasdt0(xp,xm)=sdtasdt0(xn,xm)|~spl0_2),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f211,f268])).
% 171.73/22.03 fof(f373,plain,(
% 171.73/22.03 spl0_0|~spl0_2),
% 171.73/22.03 inference(split_clause,[status(thm)],[f361,f261,f267])).
% 171.73/22.03 fof(f409,plain,(
% 171.73/22.03 spl0_23 <=> xp=xm),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f410,plain,(
% 171.73/22.03 xp=xm|~spl0_23),
% 171.73/22.03 inference(component_clause,[status(thm)],[f409])).
% 171.73/22.03 fof(f417,plain,(
% 171.73/22.03 spl0_25 <=> xp=xn),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f418,plain,(
% 171.73/22.03 xp=xn|~spl0_25),
% 171.73/22.03 inference(component_clause,[status(thm)],[f417])).
% 171.73/22.03 fof(f425,plain,(
% 171.73/22.03 spl0_26 <=> xk=sz00),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f426,plain,(
% 171.73/22.03 xk=sz00|~spl0_26),
% 171.73/22.03 inference(component_clause,[status(thm)],[f425])).
% 171.73/22.03 fof(f433,plain,(
% 171.73/22.03 $false|~spl0_26),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f426,f214])).
% 171.73/22.03 fof(f434,plain,(
% 171.73/22.03 ~spl0_26),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f433])).
% 171.73/22.03 fof(f445,plain,(
% 171.73/22.03 spl0_30 <=> ~aNaturalNumber0(X0)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f446,plain,(
% 171.73/22.03 ![X0]: (~aNaturalNumber0(X0)|~spl0_30)),
% 171.73/22.03 inference(component_clause,[status(thm)],[f445])).
% 171.73/22.03 fof(f482,plain,(
% 171.73/22.03 spl0_35 <=> ~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xp)|sdtlseqdt0(X0,xk)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f483,plain,(
% 171.73/22.03 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xp)|sdtlseqdt0(X0,xk)|~spl0_35)),
% 171.73/22.03 inference(component_clause,[status(thm)],[f482])).
% 171.73/22.03 fof(f485,plain,(
% 171.73/22.03 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(xp)|~aNaturalNumber0(xk)|~sdtlseqdt0(X0,xp)|sdtlseqdt0(X0,xk))),
% 171.73/22.03 inference(resolution,[status(thm)],[f111,f238])).
% 171.73/22.03 fof(f486,plain,(
% 171.73/22.03 spl0_35|~spl0_7|~spl0_8),
% 171.73/22.03 inference(split_clause,[status(thm)],[f485,f482,f298,f301])).
% 171.73/22.03 fof(f634,plain,(
% 171.73/22.03 ~isPrime0(sz00)),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f296,f56])).
% 171.73/22.03 fof(f635,plain,(
% 171.73/22.03 ~isPrime0(sz10)),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f297,f57])).
% 171.73/22.03 fof(f653,plain,(
% 171.73/22.03 spl0_49 <=> sdtpldt0(xn,sk0_6)=xn),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f654,plain,(
% 171.73/22.03 sdtpldt0(xn,sk0_6)=xn|~spl0_49),
% 171.73/22.03 inference(component_clause,[status(thm)],[f653])).
% 171.73/22.03 fof(f700,plain,(
% 171.73/22.03 spl0_56 <=> sdtpldt0(xm,sk0_7)=xm),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f701,plain,(
% 171.73/22.03 sdtpldt0(xm,sk0_7)=xm|~spl0_56),
% 171.73/22.03 inference(component_clause,[status(thm)],[f700])).
% 171.73/22.03 fof(f838,plain,(
% 171.73/22.03 spl0_80 <=> aNaturalNumber0(sk0_11)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f840,plain,(
% 171.73/22.03 ~aNaturalNumber0(sk0_11)|spl0_80),
% 171.73/22.03 inference(component_clause,[status(thm)],[f838])).
% 171.73/22.03 fof(f841,plain,(
% 171.73/22.03 spl0_81 <=> xk=xm),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f844,plain,(
% 171.73/22.03 ~aNaturalNumber0(sk0_11)|~xk=xm),
% 171.73/22.03 inference(paramodulation,[status(thm)],[f237,f199])).
% 171.73/22.03 fof(f845,plain,(
% 171.73/22.03 ~spl0_80|~spl0_81),
% 171.73/22.03 inference(split_clause,[status(thm)],[f844,f838,f841])).
% 171.73/22.03 fof(f896,plain,(
% 171.73/22.03 $false|spl0_80),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f840,f236])).
% 171.73/22.03 fof(f897,plain,(
% 171.73/22.03 spl0_80),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f896])).
% 171.73/22.03 fof(f919,plain,(
% 171.73/22.03 spl0_95 <=> xp=sz00),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f920,plain,(
% 171.73/22.03 xp=sz00|~spl0_95),
% 171.73/22.03 inference(component_clause,[status(thm)],[f919])).
% 171.73/22.03 fof(f938,plain,(
% 171.73/22.03 $false|~spl0_95),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f920,f187])).
% 171.73/22.03 fof(f939,plain,(
% 171.73/22.03 ~spl0_95),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f938])).
% 171.73/22.03 fof(f980,plain,(
% 171.73/22.03 spl0_102 <=> xm=sz00),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f981,plain,(
% 171.73/22.03 xm=sz00|~spl0_102),
% 171.73/22.03 inference(component_clause,[status(thm)],[f980])).
% 171.73/22.03 fof(f1275,plain,(
% 171.73/22.03 ~aNaturalNumber0(xm)|xm=sz00|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)|xn=xp|~spl0_0),
% 171.73/22.03 inference(resolution,[status(thm)],[f262,f88])).
% 171.73/22.03 fof(f1276,plain,(
% 171.73/22.03 ~spl0_10|spl0_102|~spl0_14|~spl0_7|spl0_25|~spl0_0),
% 171.73/22.03 inference(split_clause,[status(thm)],[f1275,f314,f980,f340,f298,f417,f261])).
% 171.73/22.03 fof(f1350,plain,(
% 171.73/22.03 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(sdtpldt0(X0,X2))|~sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X0,X2))|sdtpldt0(X1,X2)=sdtpldt0(X0,X2))),
% 171.73/22.03 inference(resolution,[status(thm)],[f119,f109])).
% 171.73/22.03 fof(f1351,plain,(
% 171.73/22.03 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(sdtpldt0(X1,X2))|~sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X0,X2))|sdtpldt0(X1,X2)=sdtpldt0(X0,X2))),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f1350,f60])).
% 171.73/22.03 fof(f1586,plain,(
% 171.73/22.03 spl0_164 <=> ~aNaturalNumber0(X0)|X0=xk|~sdtlseqdt0(X0,xk)|sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xm))),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f1587,plain,(
% 171.73/22.03 ![X0]: (~aNaturalNumber0(X0)|X0=xk|~sdtlseqdt0(X0,xk)|sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xm))|~spl0_164)),
% 171.73/22.03 inference(component_clause,[status(thm)],[f1586])).
% 171.73/22.03 fof(f1589,plain,(
% 171.73/22.03 ![X0]: (~aNaturalNumber0(xp)|~aNaturalNumber0(X0)|~aNaturalNumber0(xk)|xp=sz00|X0=xk|~sdtlseqdt0(X0,xk)|sdtlseqdt0(sdtasdt0(xp,X0),sdtasdt0(xn,xm)))),
% 171.73/22.03 inference(paramodulation,[status(thm)],[f211,f122])).
% 171.73/22.03 fof(f1590,plain,(
% 171.73/22.03 ~spl0_7|spl0_164|~spl0_8|spl0_95),
% 171.73/22.03 inference(split_clause,[status(thm)],[f1589,f298,f1586,f301,f919])).
% 171.73/22.03 fof(f1602,plain,(
% 171.73/22.03 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X2,X0))|~aNaturalNumber0(sdtasdt0(X1,X0))|~sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X1,X0))|sdtasdt0(X2,X0)=sdtasdt0(X1,X0))),
% 171.73/22.03 inference(resolution,[status(thm)],[f124,f109])).
% 171.73/22.03 fof(f1603,plain,(
% 171.73/22.03 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X2,X0))|~sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X1,X0))|sdtasdt0(X2,X0)=sdtasdt0(X1,X0))),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f1602,f62])).
% 171.73/22.03 fof(f2012,plain,(
% 171.73/22.03 spl0_225 <=> sdtasdt0(xn,xm)=sz00),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f2014,plain,(
% 171.73/22.03 ~sdtasdt0(xn,xm)=sz00|spl0_225),
% 171.73/22.03 inference(component_clause,[status(thm)],[f2012])).
% 171.73/22.03 fof(f2021,plain,(
% 171.73/22.03 ~aNaturalNumber0(xp)|~aNaturalNumber0(xk)|~sdtasdt0(xn,xm)=sz00|xp=sz00|xk=sz00),
% 171.73/22.03 inference(paramodulation,[status(thm)],[f211,f93])).
% 171.73/22.03 fof(f2022,plain,(
% 171.73/22.03 ~spl0_7|~spl0_8|~spl0_225|spl0_95|spl0_26),
% 171.73/22.03 inference(split_clause,[status(thm)],[f2021,f298,f301,f2012,f919,f425])).
% 171.73/22.03 fof(f2502,plain,(
% 171.73/22.03 $false|~spl0_25),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f418,f202])).
% 171.73/22.03 fof(f2503,plain,(
% 171.73/22.03 ~spl0_25),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f2502])).
% 171.73/22.03 fof(f2510,plain,(
% 171.73/22.03 ~sdtasdt0(xn,sz00)=sz00|~spl0_102|spl0_225),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f981,f2014])).
% 171.73/22.03 fof(f2511,plain,(
% 171.73/22.03 ~aNaturalNumber0(xn)|~spl0_102|spl0_225),
% 171.73/22.03 inference(resolution,[status(thm)],[f2510,f78])).
% 171.73/22.03 fof(f2512,plain,(
% 171.73/22.03 ~spl0_14|~spl0_102|spl0_225),
% 171.73/22.03 inference(split_clause,[status(thm)],[f2511,f340,f980,f2012])).
% 171.73/22.03 fof(f3699,plain,(
% 171.73/22.03 spl0_394 <=> xr=sz10),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f3700,plain,(
% 171.73/22.03 xr=sz10|~spl0_394),
% 171.73/22.03 inference(component_clause,[status(thm)],[f3699])).
% 171.73/22.03 fof(f3707,plain,(
% 171.73/22.03 $false|~spl0_394),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f3700,f225])).
% 171.73/22.03 fof(f3708,plain,(
% 171.73/22.03 ~spl0_394),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f3707])).
% 171.73/22.03 fof(f3898,plain,(
% 171.73/22.03 spl0_406 <=> xp=sz10),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f3899,plain,(
% 171.73/22.03 xp=sz10|~spl0_406),
% 171.73/22.03 inference(component_clause,[status(thm)],[f3898])).
% 171.73/22.03 fof(f4256,plain,(
% 171.73/22.03 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X0,X2))|sdtpldt0(X1,X2)=sdtpldt0(X0,X2))),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f1351,f60])).
% 171.73/22.03 fof(f4405,plain,(
% 171.73/22.03 spl0_442 <=> sdtlseqdt0(xm,xk)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f4800,plain,(
% 171.73/22.03 spl0_460 <=> sdtlseqdt0(xn,sdtpldt0(xn,sk0_6))),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f4802,plain,(
% 171.73/22.03 ~sdtlseqdt0(xn,sdtpldt0(xn,sk0_6))|spl0_460),
% 171.73/22.03 inference(component_clause,[status(thm)],[f4800])).
% 171.73/22.03 fof(f4808,plain,(
% 171.73/22.03 spl0_462 <=> sdtlseqdt0(xp,sdtpldt0(xp,sk0_11))),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f4810,plain,(
% 171.73/22.03 ~sdtlseqdt0(xp,sdtpldt0(xp,sk0_11))|spl0_462),
% 171.73/22.03 inference(component_clause,[status(thm)],[f4808])).
% 171.73/22.03 fof(f4824,plain,(
% 171.73/22.03 spl0_466 <=> sdtlseqdt0(xm,sdtpldt0(xm,sk0_7))),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f4826,plain,(
% 171.73/22.03 ~sdtlseqdt0(xm,sdtpldt0(xm,sk0_7))|spl0_466),
% 171.73/22.03 inference(component_clause,[status(thm)],[f4824])).
% 171.73/22.03 fof(f4832,plain,(
% 171.73/22.03 ~sdtlseqdt0(xp,xk)|spl0_462),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f237,f4810])).
% 171.73/22.03 fof(f4833,plain,(
% 171.73/22.03 $false|spl0_462),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f4832,f238])).
% 171.73/22.03 fof(f4834,plain,(
% 171.73/22.03 spl0_462),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f4833])).
% 171.73/22.03 fof(f4835,plain,(
% 171.73/22.03 ~sdtlseqdt0(xm,xp)|spl0_466),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f208,f4826])).
% 171.73/22.03 fof(f4836,plain,(
% 171.73/22.03 $false|spl0_466),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f4835,f209])).
% 171.73/22.03 fof(f4837,plain,(
% 171.73/22.03 spl0_466),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f4836])).
% 171.73/22.03 fof(f4838,plain,(
% 171.73/22.03 ~sdtlseqdt0(xn,xp)|spl0_460),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f204,f4802])).
% 171.73/22.03 fof(f4839,plain,(
% 171.73/22.03 $false|spl0_460),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f4838,f205])).
% 171.73/22.03 fof(f4840,plain,(
% 171.73/22.03 spl0_460),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f4839])).
% 171.73/22.03 fof(f4937,plain,(
% 171.73/22.03 $false|~spl0_23),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f410,f206])).
% 171.73/22.03 fof(f4938,plain,(
% 171.73/22.03 ~spl0_23),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f4937])).
% 171.73/22.03 fof(f6069,plain,(
% 171.73/22.03 spl0_608 <=> pd0_0(xr)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f6070,plain,(
% 171.73/22.03 pd0_0(xr)|~spl0_608),
% 171.73/22.03 inference(component_clause,[status(thm)],[f6069])).
% 171.73/22.03 fof(f6083,plain,(
% 171.73/22.03 spl0_612 <=> pd0_0(xp)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f6084,plain,(
% 171.73/22.03 pd0_0(xp)|~spl0_612),
% 171.73/22.03 inference(component_clause,[status(thm)],[f6083])).
% 171.73/22.03 fof(f6459,plain,(
% 171.73/22.03 $false|~spl0_406),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f3899,f188])).
% 171.73/22.03 fof(f6460,plain,(
% 171.73/22.03 ~spl0_406),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f6459])).
% 171.73/22.03 fof(f6576,plain,(
% 171.73/22.03 ~aNaturalNumber0(xm)|~aNaturalNumber0(xn)|~aNaturalNumber0(xp)|xm=sz00|xn=xp|~sdtlseqdt0(xn,xp)|spl0_6),
% 171.73/22.03 inference(resolution,[status(thm)],[f284,f124])).
% 171.73/22.03 fof(f6577,plain,(
% 171.73/22.03 ~spl0_10|~spl0_14|~spl0_7|spl0_102|spl0_25|~spl0_15|spl0_6),
% 171.73/22.03 inference(split_clause,[status(thm)],[f6576,f314,f340,f298,f980,f417,f343,f282])).
% 171.73/22.03 fof(f6940,plain,(
% 171.73/22.03 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X1,X0))|sdtasdt0(X2,X0)=sdtasdt0(X1,X0))),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f1603,f62])).
% 171.73/22.03 fof(f7081,plain,(
% 171.73/22.03 spl0_684 <=> sdtasdt0(xr,sk0_8)=sz00),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f7082,plain,(
% 171.73/22.03 sdtasdt0(xr,sk0_8)=sz00|~spl0_684),
% 171.73/22.03 inference(component_clause,[status(thm)],[f7081])).
% 171.73/22.03 fof(f7528,plain,(
% 171.73/22.03 spl0_705 <=> doDivides0(xr,sdtasdt0(xr,sk0_10))),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f7530,plain,(
% 171.73/22.03 ~doDivides0(xr,sdtasdt0(xr,sk0_10))|spl0_705),
% 171.73/22.03 inference(component_clause,[status(thm)],[f7528])).
% 171.73/22.03 fof(f7536,plain,(
% 171.73/22.03 spl0_707 <=> doDivides0(xr,sdtasdt0(xr,sk0_8))),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f7538,plain,(
% 171.73/22.03 ~doDivides0(xr,sdtasdt0(xr,sk0_8))|spl0_707),
% 171.73/22.03 inference(component_clause,[status(thm)],[f7536])).
% 171.73/22.03 fof(f7544,plain,(
% 171.73/22.03 spl0_709 <=> doDivides0(xp,sdtasdt0(xp,sk0_5))),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f7546,plain,(
% 171.73/22.03 ~doDivides0(xp,sdtasdt0(xp,sk0_5))|spl0_709),
% 171.73/22.03 inference(component_clause,[status(thm)],[f7544])).
% 171.73/22.03 fof(f7552,plain,(
% 171.73/22.03 spl0_711 <=> doDivides0(xp,sdtasdt0(xp,xk))),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f7554,plain,(
% 171.73/22.03 ~doDivides0(xp,sdtasdt0(xp,xk))|spl0_711),
% 171.73/22.03 inference(component_clause,[status(thm)],[f7552])).
% 171.73/22.03 fof(f7560,plain,(
% 171.73/22.03 ~doDivides0(xp,sdtasdt0(xn,xm))|spl0_711),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f211,f7554])).
% 171.73/22.03 fof(f7561,plain,(
% 171.73/22.03 $false|spl0_711),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f7560,f194])).
% 171.73/22.03 fof(f7562,plain,(
% 171.73/22.03 spl0_711),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f7561])).
% 171.73/22.03 fof(f7563,plain,(
% 171.73/22.03 ~doDivides0(xp,sdtasdt0(xn,xm))|spl0_709),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f193,f7546])).
% 171.73/22.03 fof(f7564,plain,(
% 171.73/22.03 $false|spl0_709),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f7563,f194])).
% 171.73/22.03 fof(f7565,plain,(
% 171.73/22.03 spl0_709),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f7564])).
% 171.73/22.03 fof(f7566,plain,(
% 171.73/22.03 ~doDivides0(xr,xk)|spl0_707),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f222,f7538])).
% 171.73/22.03 fof(f7567,plain,(
% 171.73/22.03 $false|spl0_707),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f7566,f223])).
% 171.73/22.03 fof(f7568,plain,(
% 171.73/22.03 spl0_707),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f7567])).
% 171.73/22.03 fof(f7569,plain,(
% 171.73/22.03 ~doDivides0(xr,sdtasdt0(xn,xm))|spl0_705),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f233,f7530])).
% 171.73/22.03 fof(f7570,plain,(
% 171.73/22.03 $false|spl0_705),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f7569,f234])).
% 171.73/22.03 fof(f7571,plain,(
% 171.73/22.03 spl0_705),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f7570])).
% 171.73/22.03 fof(f7806,plain,(
% 171.73/22.03 spl0_725 <=> isPrime0(sz10)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f7807,plain,(
% 171.73/22.03 isPrime0(sz10)|~spl0_725),
% 171.73/22.03 inference(component_clause,[status(thm)],[f7806])).
% 171.73/22.03 fof(f7813,plain,(
% 171.73/22.03 $false|~spl0_725),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f7807,f635])).
% 171.73/22.03 fof(f7814,plain,(
% 171.73/22.03 ~spl0_725),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f7813])).
% 171.73/22.03 fof(f7858,plain,(
% 171.73/22.03 ~aNaturalNumber0(xm)|sdtlseqdt0(xm,xk)|~spl0_35),
% 171.73/22.03 inference(resolution,[status(thm)],[f483,f209])).
% 171.73/22.03 fof(f7859,plain,(
% 171.73/22.03 ~spl0_10|spl0_442|~spl0_35),
% 171.73/22.03 inference(split_clause,[status(thm)],[f7858,f314,f4405,f482])).
% 171.73/22.03 fof(f8260,plain,(
% 171.73/22.03 xk=sz00|~spl0_684),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f222,f7082])).
% 171.73/22.03 fof(f8261,plain,(
% 171.73/22.03 $false|~spl0_684),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f8260,f214])).
% 171.73/22.03 fof(f8262,plain,(
% 171.73/22.03 ~spl0_684),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f8261])).
% 171.73/22.03 fof(f8964,plain,(
% 171.73/22.03 spl0_844 <=> xk=sz10),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f8965,plain,(
% 171.73/22.03 xk=sz10|~spl0_844),
% 171.73/22.03 inference(component_clause,[status(thm)],[f8964])).
% 171.73/22.03 fof(f10476,plain,(
% 171.73/22.03 xp=xn|~spl0_49),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f204,f654])).
% 171.73/22.03 fof(f10477,plain,(
% 171.73/22.03 $false|~spl0_49),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f10476,f202])).
% 171.73/22.03 fof(f10478,plain,(
% 171.73/22.03 ~spl0_49),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f10477])).
% 171.73/22.03 fof(f10480,plain,(
% 171.73/22.03 xp=xm|~spl0_56),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f208,f701])).
% 171.73/22.03 fof(f10481,plain,(
% 171.73/22.03 $false|~spl0_56),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f10480,f206])).
% 171.73/22.03 fof(f10482,plain,(
% 171.73/22.03 ~spl0_56),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f10481])).
% 171.73/22.03 fof(f10489,plain,(
% 171.73/22.03 $false|~spl0_844),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f8965,f215])).
% 171.73/22.03 fof(f10490,plain,(
% 171.73/22.03 ~spl0_844),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f10489])).
% 171.73/22.03 fof(f10495,plain,(
% 171.73/22.03 ~isPrime0(xr)|~spl0_608),
% 171.73/22.03 inference(resolution,[status(thm)],[f6070,f252])).
% 171.73/22.03 fof(f11887,plain,(
% 171.73/22.03 $false|~spl0_608),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f10495,f228])).
% 171.73/22.03 fof(f11888,plain,(
% 171.73/22.03 ~spl0_608),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f11887])).
% 171.73/22.03 fof(f11889,plain,(
% 171.73/22.03 ~isPrime0(xp)|~spl0_612),
% 171.73/22.03 inference(resolution,[status(thm)],[f6084,f252])).
% 171.73/22.03 fof(f11890,plain,(
% 171.73/22.03 $false|~spl0_612),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f11889,f191])).
% 171.73/22.03 fof(f11891,plain,(
% 171.73/22.03 ~spl0_612),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f11890])).
% 171.73/22.03 fof(f12043,plain,(
% 171.73/22.03 spl0_1097 <=> sdtpldt0(xr,sk0_9)=sz00),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f12044,plain,(
% 171.73/22.03 sdtpldt0(xr,sk0_9)=sz00|~spl0_1097),
% 171.73/22.03 inference(component_clause,[status(thm)],[f12043])).
% 171.73/22.03 fof(f12051,plain,(
% 171.73/22.03 spl0_1099 <=> sdtpldt0(xn,sk0_6)=sz00),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f12052,plain,(
% 171.73/22.03 sdtpldt0(xn,sk0_6)=sz00|~spl0_1099),
% 171.73/22.03 inference(component_clause,[status(thm)],[f12051])).
% 171.73/22.03 fof(f12059,plain,(
% 171.73/22.03 spl0_1101 <=> sdtpldt0(xp,sk0_11)=sz00),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f12060,plain,(
% 171.73/22.03 sdtpldt0(xp,sk0_11)=sz00|~spl0_1101),
% 171.73/22.03 inference(component_clause,[status(thm)],[f12059])).
% 171.73/22.03 fof(f12067,plain,(
% 171.73/22.03 spl0_1103 <=> sdtpldt0(xm,sk0_7)=sz00),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f12068,plain,(
% 171.73/22.03 sdtpldt0(xm,sk0_7)=sz00|~spl0_1103),
% 171.73/22.03 inference(component_clause,[status(thm)],[f12067])).
% 171.73/22.03 fof(f12072,plain,(
% 171.73/22.03 xp=sz00|~spl0_1103),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f208,f12068])).
% 171.73/22.03 fof(f12073,plain,(
% 171.73/22.03 $false|~spl0_1103),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f12072,f187])).
% 171.73/22.03 fof(f12074,plain,(
% 171.73/22.03 ~spl0_1103),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f12073])).
% 171.73/22.03 fof(f12075,plain,(
% 171.73/22.03 xk=sz00|~spl0_1101),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f237,f12060])).
% 171.73/22.03 fof(f12076,plain,(
% 171.73/22.03 $false|~spl0_1101),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f12075,f214])).
% 171.73/22.03 fof(f12077,plain,(
% 171.73/22.03 ~spl0_1101),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f12076])).
% 171.73/22.03 fof(f12078,plain,(
% 171.73/22.03 xp=sz00|~spl0_1099),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f204,f12052])).
% 171.73/22.03 fof(f12079,plain,(
% 171.73/22.03 $false|~spl0_1099),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f12078,f187])).
% 171.73/22.03 fof(f12080,plain,(
% 171.73/22.03 ~spl0_1099),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f12079])).
% 171.73/22.03 fof(f12081,plain,(
% 171.73/22.03 xk=sz00|~spl0_1097),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f231,f12044])).
% 171.73/22.03 fof(f12082,plain,(
% 171.73/22.03 $false|~spl0_1097),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f12081,f214])).
% 171.73/22.03 fof(f12083,plain,(
% 171.73/22.03 ~spl0_1097),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f12082])).
% 171.73/22.03 fof(f13079,plain,(
% 171.73/22.03 spl0_1157 <=> sdtpldt0(xr,sk0_9)=sz10),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f13080,plain,(
% 171.73/22.03 sdtpldt0(xr,sk0_9)=sz10|~spl0_1157),
% 171.73/22.03 inference(component_clause,[status(thm)],[f13079])).
% 171.73/22.03 fof(f13093,plain,(
% 171.73/22.03 spl0_1161 <=> sdtpldt0(xn,sk0_6)=sz10),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f13094,plain,(
% 171.73/22.03 sdtpldt0(xn,sk0_6)=sz10|~spl0_1161),
% 171.73/22.03 inference(component_clause,[status(thm)],[f13093])).
% 171.73/22.03 fof(f13107,plain,(
% 171.73/22.03 spl0_1165 <=> sdtpldt0(xp,sk0_11)=sz10),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f13108,plain,(
% 171.73/22.03 sdtpldt0(xp,sk0_11)=sz10|~spl0_1165),
% 171.73/22.03 inference(component_clause,[status(thm)],[f13107])).
% 171.73/22.03 fof(f13121,plain,(
% 171.73/22.03 spl0_1169 <=> sdtpldt0(xm,sk0_7)=sz10),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f13122,plain,(
% 171.73/22.03 sdtpldt0(xm,sk0_7)=sz10|~spl0_1169),
% 171.73/22.03 inference(component_clause,[status(thm)],[f13121])).
% 171.73/22.03 fof(f13126,plain,(
% 171.73/22.03 xp=sz10|~spl0_1169),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f208,f13122])).
% 171.73/22.03 fof(f13127,plain,(
% 171.73/22.03 $false|~spl0_1169),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f13126,f188])).
% 171.73/22.03 fof(f13128,plain,(
% 171.73/22.03 ~spl0_1169),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f13127])).
% 171.73/22.03 fof(f13131,plain,(
% 171.73/22.03 xk=sz10|~spl0_1165),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f237,f13108])).
% 171.73/22.03 fof(f13132,plain,(
% 171.73/22.03 $false|~spl0_1165),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f13131,f215])).
% 171.73/22.03 fof(f13133,plain,(
% 171.73/22.03 ~spl0_1165),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f13132])).
% 171.73/22.03 fof(f13138,plain,(
% 171.73/22.03 xp=sz10|~spl0_1161),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f204,f13094])).
% 171.73/22.03 fof(f13139,plain,(
% 171.73/22.03 $false|~spl0_1161),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f13138,f188])).
% 171.73/22.03 fof(f13140,plain,(
% 171.73/22.03 ~spl0_1161),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f13139])).
% 171.73/22.03 fof(f13143,plain,(
% 171.73/22.03 xk=sz10|~spl0_1157),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f231,f13080])).
% 171.73/22.03 fof(f13144,plain,(
% 171.73/22.03 $false|~spl0_1157),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f13143,f215])).
% 171.73/22.03 fof(f13145,plain,(
% 171.73/22.03 ~spl0_1157),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f13144])).
% 171.73/22.03 fof(f13605,plain,(
% 171.73/22.03 $false|~spl0_30),
% 171.73/22.03 inference(backward_subsumption_resolution,[status(thm)],[f230,f446])).
% 171.73/22.03 fof(f13606,plain,(
% 171.73/22.03 ~spl0_30),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f13605])).
% 171.73/22.03 fof(f15196,plain,(
% 171.73/22.03 spl0_1327 <=> isPrime0(sz00)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f15197,plain,(
% 171.73/22.03 isPrime0(sz00)|~spl0_1327),
% 171.73/22.03 inference(component_clause,[status(thm)],[f15196])).
% 171.73/22.03 fof(f15206,plain,(
% 171.73/22.03 $false|~spl0_1327),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f15197,f634])).
% 171.73/22.03 fof(f15207,plain,(
% 171.73/22.03 ~spl0_1327),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f15206])).
% 171.73/22.03 fof(f22520,plain,(
% 171.73/22.03 spl0_1822 <=> sdtasdt0(xr,sk0_8)=sz10),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f22521,plain,(
% 171.73/22.03 sdtasdt0(xr,sk0_8)=sz10|~spl0_1822),
% 171.73/22.03 inference(component_clause,[status(thm)],[f22520])).
% 171.73/22.03 fof(f22546,plain,(
% 171.73/22.03 xk=sz10|~spl0_1822),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f222,f22521])).
% 171.73/22.03 fof(f22547,plain,(
% 171.73/22.03 $false|~spl0_1822),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f22546,f215])).
% 171.73/22.03 fof(f22548,plain,(
% 171.73/22.03 ~spl0_1822),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f22547])).
% 171.73/22.03 fof(f23541,plain,(
% 171.73/22.03 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|~sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X1,X0)))),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f6940,f88])).
% 171.73/22.03 fof(f23552,plain,(
% 171.73/22.03 spl0_1923 <=> ~aNaturalNumber0(X0)|X0=sz00|~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|X0=X0|~sdtlseqdt0(X0,X0)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f23555,plain,(
% 171.73/22.03 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X0=sz00|X1=X1|~sdtlseqdt0(X1,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|X1=sz00|X0=X0|~sdtlseqdt0(X0,X0))),
% 171.73/22.03 inference(resolution,[status(thm)],[f23541,f122])).
% 171.73/22.03 fof(f23556,plain,(
% 171.73/22.03 spl0_1923),
% 171.73/22.03 inference(split_clause,[status(thm)],[f23555,f23552])).
% 171.73/22.03 fof(f24383,plain,(
% 171.73/22.03 spl0_1976 <=> aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f24385,plain,(
% 171.73/22.03 ~aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))|spl0_1976),
% 171.73/22.03 inference(component_clause,[status(thm)],[f24383])).
% 171.73/22.03 fof(f24400,plain,(
% 171.73/22.03 ~aNaturalNumber0(xk)|spl0_1976),
% 171.73/22.03 inference(forward_demodulation,[status(thm)],[f212,f24385])).
% 171.73/22.03 fof(f24401,plain,(
% 171.73/22.03 $false|spl0_1976),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f24400,f210])).
% 171.73/22.03 fof(f24402,plain,(
% 171.73/22.03 spl0_1976),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f24401])).
% 171.73/22.03 fof(f24612,plain,(
% 171.73/22.03 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X0,X2)))),
% 171.73/22.03 inference(forward_subsumption_resolution,[status(thm)],[f4256,f85])).
% 171.73/22.03 fof(f24613,plain,(
% 171.73/22.03 spl0_1985 <=> ~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|X0=X0|~sdtlseqdt0(X0,X0)|~aNaturalNumber0(X0)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f24616,plain,(
% 171.73/22.03 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|X0=X0|~sdtlseqdt0(X0,X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X1)|X1=X1|~sdtlseqdt0(X1,X1)|~aNaturalNumber0(X0))),
% 171.73/22.03 inference(resolution,[status(thm)],[f24612,f117])).
% 171.73/22.03 fof(f24617,plain,(
% 171.73/22.03 spl0_1985),
% 171.73/22.03 inference(split_clause,[status(thm)],[f24616,f24613])).
% 171.73/22.03 fof(f24618,plain,(
% 171.73/22.03 spl0_1986 <=> ~aNaturalNumber0(X2)|~aNaturalNumber0(X2)),
% 171.73/22.03 introduced(split_symbol_definition)).
% 171.73/22.03 fof(f24619,plain,(
% 171.73/22.03 ![X0]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X0)|~spl0_1986)),
% 171.73/22.03 inference(component_clause,[status(thm)],[f24618])).
% 171.73/22.03 fof(f24683,plain,(
% 171.73/22.03 ![X0]: (~aNaturalNumber0(X0)|~spl0_1986)),
% 171.73/22.03 inference(duplicate_literals_removal,[status(esa)],[f24619])).
% 171.73/22.03 fof(f25877,plain,(
% 171.73/22.03 $false|~spl0_1986),
% 171.73/22.03 inference(backward_subsumption_resolution,[status(thm)],[f203,f24683])).
% 171.73/22.03 fof(f25878,plain,(
% 171.73/22.03 ~spl0_1986),
% 171.73/22.03 inference(contradiction_clause,[status(thm)],[f25877])).
% 171.73/22.03 fof(f26402,plain,(
% 171.73/22.03 ~aNaturalNumber0(xm)|xm=xk|~sdtlseqdt0(xm,xk)|~spl0_164|spl0_4),
% 172.70/22.19 inference(resolution,[status(thm)],[f1587,f325])).
% 172.70/22.19 fof(f26403,plain,(
% 172.70/22.19 ~spl0_10|spl0_81|~spl0_442|~spl0_164|spl0_4),
% 172.70/22.19 inference(split_clause,[status(thm)],[f26402,f314,f841,f4405,f1586,f274])).
% 172.70/22.19 fof(f26411,plain,(
% 172.70/22.19 $false),
% 172.70/22.19 inference(sat_refutation,[status(thm)],[f277,f285,f310,f312,f323,f347,f349,f373,f434,f486,f845,f897,f939,f1276,f1590,f2022,f2503,f2512,f3708,f4834,f4837,f4840,f4938,f6460,f6577,f7562,f7565,f7568,f7571,f7814,f7859,f8262,f10478,f10482,f10490,f11888,f11891,f12074,f12077,f12080,f12083,f13128,f13133,f13140,f13145,f13606,f15207,f22548,f23556,f24402,f24617,f25878,f26403])).
% 172.70/22.19 % SZS output end CNFRefutation for theBenchmark.p
% 172.70/22.19 % Elapsed time: 21.832743 seconds
% 172.70/22.19 % CPU time: 172.746130 seconds
% 172.70/22.19 % Memory used: 421.076 MB
%------------------------------------------------------------------------------