%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM477+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:43:00 PM UTC 2026
% Result : Theorem 35.61s 4.95s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM477+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 02:33:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 35.61/4.95 % Refutation found
% 35.61/4.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 35.61/4.95 % SZS output start CNFRefutation for theBenchmark
% 35.61/4.95 fof(f2,axiom,(
% 35.61/4.95 aNaturalNumber0(sz00) ),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f3,axiom,(
% 35.61/4.95 ( aNaturalNumber0(sz10)& sz10 != sz00 ) ),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f4,axiom,(
% 35.61/4.95 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f5,axiom,(
% 35.61/4.95 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f8,axiom,(
% 35.61/4.95 (! [W0] :( aNaturalNumber0(W0)=> ( sdtpldt0(W0,sz00) = W0& W0 = sdtpldt0(sz00,W0) ) ) )),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f9,axiom,(
% 35.61/4.95 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) )),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f11,axiom,(
% 35.61/4.95 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz10) = W0& W0 = sdtasdt0(sz10,W0) ) ) )),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f12,axiom,(
% 35.61/4.95 (! [W0] :( aNaturalNumber0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f18,definition,(
% 35.61/4.95 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) )) ) )),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f20,axiom,(
% 35.61/4.95 (! [W0] :( aNaturalNumber0(W0)=> sdtlseqdt0(W0,W0) ) )),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f23,axiom,(
% 35.61/4.95 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)| ( W1 != W0& sdtlseqdt0(W1,W0) ) ) ) )),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f25,axiom,(
% 35.61/4.95 (! [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)) ) ) ) )),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f26,axiom,(
% 35.61/4.95 (! [W0] :( aNaturalNumber0(W0)=> ( W0 = sz00| W0 = sz10| ( sz10 != W0& sdtlseqdt0(sz10,W0) ) ) ) )),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f31,definition,(
% 35.61/4.95 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( ( W0 != sz00& doDivides0(W0,W1) )=> (! [W2] :( W2 = sdtsldt0(W1,W0)<=> ( aNaturalNumber0(W2)& W1 = sdtasdt0(W0,W2) ) ) )) ) )),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f35,hypothesis,(
% 35.61/4.95 ( aNaturalNumber0(xm)& aNaturalNumber0(xn) ) ),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f36,hypothesis,(
% 35.61/4.95 ( doDivides0(xm,xn)& xn != sz00 ) ),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f37,conjecture,(
% 35.61/4.95 sdtlseqdt0(xm,xn) ),
% 35.61/4.95 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 35.61/4.95 fof(f38,negated_conjecture,(
% 35.61/4.95 ~(sdtlseqdt0(xm,xn) )),
% 35.61/4.95 inference(negated_conjecture,[status(cth)],[f37])).
% 35.61/4.95 fof(f42,plain,(
% 35.61/4.95 aNaturalNumber0(sz00)),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f2])).
% 35.61/4.95 fof(f43,plain,(
% 35.61/4.95 aNaturalNumber0(sz10)),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f3])).
% 35.61/4.95 fof(f45,plain,(
% 35.61/4.95 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 35.61/4.95 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 35.61/4.95 fof(f46,plain,(
% 35.61/4.95 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f45])).
% 35.61/4.95 fof(f47,plain,(
% 35.61/4.95 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 35.61/4.95 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 35.61/4.95 fof(f48,plain,(
% 35.61/4.95 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f47])).
% 35.61/4.95 fof(f53,plain,(
% 35.61/4.95 ![W0]: (~aNaturalNumber0(W0)|(sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)))),
% 35.61/4.95 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 35.61/4.95 fof(f55,plain,(
% 35.61/4.95 ![X0]: (~aNaturalNumber0(X0)|X0=sdtpldt0(sz00,X0))),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f53])).
% 35.61/4.95 fof(f56,plain,(
% 35.61/4.95 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|sdtasdt0(W0,W1)=sdtasdt0(W1,W0))),
% 35.61/4.95 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 35.61/4.95 fof(f57,plain,(
% 35.61/4.95 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f56])).
% 35.61/4.95 fof(f60,plain,(
% 35.61/4.95 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz10)=W0&W0=sdtasdt0(sz10,W0)))),
% 35.61/4.95 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 35.61/4.95 fof(f61,plain,(
% 35.61/4.95 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz10)=X0)),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f60])).
% 35.61/4.95 fof(f62,plain,(
% 35.61/4.95 ![X0]: (~aNaturalNumber0(X0)|X0=sdtasdt0(sz10,X0))),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f60])).
% 35.61/4.95 fof(f63,plain,(
% 35.61/4.95 ![W0]: (~aNaturalNumber0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 35.61/4.95 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 35.61/4.95 fof(f64,plain,(
% 35.61/4.95 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,sz00)=sz00)),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f63])).
% 35.61/4.95 fof(f80,plain,(
% 35.61/4.95 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))))),
% 35.61/4.95 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 35.61/4.95 fof(f81,plain,(
% 35.61/4.95 ![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)))))),
% 35.61/4.95 inference(NNF_transformation,[status(thm)],[f80])).
% 35.61/4.95 fof(f82,plain,(
% 35.61/4.95 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|(aNaturalNumber0(sK0_skl(W1,W0))&sdtpldt0(W0,sK0_skl(W1,W0))=W1))&(sdtlseqdt0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1)))))),
% 35.61/4.95 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W2,sK0_skl(W1,W0))],[f81])).
% 35.61/4.95 fof(f85,plain,(
% 35.61/4.95 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X2)=X1)),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f82])).
% 35.61/4.95 fof(f92,plain,(
% 35.61/4.95 ![W0]: (~aNaturalNumber0(W0)|sdtlseqdt0(W0,W0))),
% 35.61/4.95 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 35.61/4.95 fof(f93,plain,(
% 35.61/4.95 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,X0))),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f92])).
% 35.61/4.95 fof(f98,plain,(
% 35.61/4.95 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)|(~W1=W0&sdtlseqdt0(W1,W0))))),
% 35.61/4.95 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 35.61/4.95 fof(f100,plain,(
% 35.61/4.95 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f98])).
% 35.61/4.95 fof(f106,plain,(
% 35.61/4.95 ![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)))))),
% 35.61/4.95 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 35.61/4.95 fof(f110,plain,(
% 35.61/4.95 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X0=sz00|X1=X2|~sdtlseqdt0(X1,X2)|sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)))),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f106])).
% 35.61/4.95 fof(f111,plain,(
% 35.61/4.95 ![W0]: (~aNaturalNumber0(W0)|((W0=sz00|W0=sz10)|(~sz10=W0&sdtlseqdt0(sz10,W0))))),
% 35.61/4.95 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 35.61/4.95 fof(f113,plain,(
% 35.61/4.95 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|sdtlseqdt0(sz10,X0))),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f111])).
% 35.61/4.95 fof(f126,plain,(
% 35.61/4.95 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((W0=sz00|~doDivides0(W0,W1))|(![W2]: (W2=sdtsldt0(W1,W0)<=>(aNaturalNumber0(W2)&W1=sdtasdt0(W0,W2))))))),
% 35.61/4.95 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 35.61/4.95 fof(f127,plain,(
% 35.61/4.95 ![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)))))))),
% 35.61/4.95 inference(NNF_transformation,[status(thm)],[f126])).
% 35.61/4.95 fof(f128,plain,(
% 35.61/4.95 ![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)))))))),
% 35.61/4.95 inference(miniscoping,[status(thm)],[f127])).
% 35.61/4.95 fof(f129,plain,(
% 35.61/4.95 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|~X2=sdtsldt0(X1,X0)|aNaturalNumber0(X2))),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f128])).
% 35.61/4.95 fof(f130,plain,(
% 35.61/4.95 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|~X2=sdtsldt0(X1,X0)|X1=sdtasdt0(X0,X2))),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f128])).
% 35.61/4.95 fof(f138,plain,(
% 35.61/4.95 aNaturalNumber0(xm)),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f35])).
% 35.61/4.95 fof(f139,plain,(
% 35.61/4.95 aNaturalNumber0(xn)),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f35])).
% 35.61/4.95 fof(f140,plain,(
% 35.61/4.95 doDivides0(xm,xn)),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f36])).
% 35.61/4.95 fof(f141,plain,(
% 35.61/4.95 ~xn=sz00),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f36])).
% 35.61/4.95 fof(f142,plain,(
% 35.61/4.95 ~sdtlseqdt0(xm,xn)),
% 35.61/4.95 inference(cnf_transformation,[status(thm)],[f38])).
% 35.61/4.95 fof(f143,plain,(
% 35.61/4.95 ![X0,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(X0,X2))|sdtlseqdt0(X0,sdtpldt0(X0,X2))|~aNaturalNumber0(X2))),
% 35.61/4.95 inference(destructive_equality_resolution,[status(thm)],[f85])).
% 35.61/4.95 fof(f144,plain,(
% 35.61/4.95 ![X0,X1]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,sdtpldt0(X0,X1))|~aNaturalNumber0(X1))),
% 35.61/4.95 inference(forward_subsumption_resolution,[status(thm)],[f143,f46])).
% 35.61/4.95 fof(f153,plain,(
% 35.61/4.95 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|aNaturalNumber0(sdtsldt0(X1,X0)))),
% 35.61/4.95 inference(destructive_equality_resolution,[status(thm)],[f129])).
% 35.61/4.95 fof(f154,plain,(
% 35.61/4.95 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=sz00|~doDivides0(X0,X1)|X1=sdtasdt0(X0,sdtsldt0(X1,X0)))),
% 35.61/4.95 inference(destructive_equality_resolution,[status(thm)],[f130])).
% 35.61/4.95 fof(f157,plain,(
% 35.61/4.95 sdtlseqdt0(xm,xm)),
% 35.61/4.95 inference(resolution,[status(thm)],[f138,f93])).
% 35.61/4.95 fof(f162,plain,(
% 35.61/4.95 ![X0]: (sdtlseqdt0(sz00,sdtpldt0(sz00,X0))|~aNaturalNumber0(X0))),
% 35.61/4.95 inference(resolution,[status(thm)],[f42,f144])).
% 35.61/4.95 fof(f168,plain,(
% 35.61/4.95 ![X0]: (~aNaturalNumber0(X0)|aNaturalNumber0(sdtpldt0(xm,X0)))),
% 35.61/4.95 inference(resolution,[status(thm)],[f46,f138])).
% 35.61/4.95 fof(f172,plain,(
% 35.61/4.95 ![X0]: (~aNaturalNumber0(X0)|aNaturalNumber0(sdtasdt0(xm,X0)))),
% 35.61/4.95 inference(resolution,[status(thm)],[f48,f138])).
% 35.61/4.95 fof(f187,plain,(
% 35.61/4.95 xn=sdtpldt0(sz00,xn)),
% 35.61/4.95 inference(resolution,[status(thm)],[f55,f139])).
% 35.61/4.95 fof(f231,definition,(
% 35.61/4.95 sQ8_spl <=> (sdtlseqdt0(sz00,xn))),
% 35.61/4.95 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 35.61/4.95 fof(f232,plain,(
% 35.61/4.95 sdtlseqdt0(sz00,xn)|~sQ8_spl),
% 35.61/4.95 inference(component_clause,[status(thm)],[f231])).
% 35.61/4.95 fof(f233,plain,(
% 35.61/4.95 ~sdtlseqdt0(sz00,xn)|sQ8_spl),
% 35.61/4.95 inference(component_clause,[status(thm)],[f231])).
% 35.61/4.95 fof(f298,definition,(
% 35.61/4.95 sQ22_spl <=> (xm=sz00)),
% 35.61/4.95 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 35.61/4.95 fof(f299,plain,(
% 35.61/4.95 xm=sz00|~sQ22_spl),
% 35.61/4.95 inference(component_clause,[status(thm)],[f298])).
% 35.61/4.95 fof(f308,plain,(
% 35.61/4.95 ~sdtlseqdt0(sz00,xn)|~sQ22_spl),
% 35.61/4.95 inference(backward_demodulation,[status(thm)],[f299,f142])).
% 35.61/4.95 fof(f325,plain,(
% 35.61/4.95 $false|~sQ8_spl|~sQ22_spl),
% 35.61/4.95 inference(forward_subsumption_resolution,[status(thm)],[f308,f232])).
% 35.61/4.95 fof(f326,plain,(
% 35.61/4.95 ~sQ8_spl|~sQ22_spl),
% 35.61/4.95 inference(contradiction_clause,[status(thm)],[f325])).
% 35.61/4.95 fof(f420,plain,(
% 35.61/4.95 ~aNaturalNumber0(xm)|~aNaturalNumber0(xn)|xm=sz00|xn=sdtasdt0(xm,sdtsldt0(xn,xm))),
% 35.61/4.95 inference(resolution,[status(thm)],[f140,f154])).
% 35.61/4.95 fof(f421,plain,(
% 35.61/4.95 ~aNaturalNumber0(xm)|~aNaturalNumber0(xn)|xm=sz00|aNaturalNumber0(sdtsldt0(xn,xm))),
% 35.61/4.95 inference(resolution,[status(thm)],[f140,f153])).
% 35.61/4.95 fof(f422,definition,(
% 35.61/4.95 sQ41_spl <=> (aNaturalNumber0(xm))),
% 35.61/4.95 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 35.61/4.95 fof(f424,plain,(
% 35.61/4.95 ~aNaturalNumber0(xm)|sQ41_spl),
% 35.61/4.95 inference(component_clause,[status(thm)],[f422])).
% 35.61/4.95 fof(f425,definition,(
% 35.61/4.95 sQ42_spl <=> (aNaturalNumber0(xn))),
% 35.61/4.95 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 35.61/4.95 fof(f427,plain,(
% 35.61/4.95 ~aNaturalNumber0(xn)|sQ42_spl),
% 35.61/4.95 inference(component_clause,[status(thm)],[f425])).
% 35.61/4.95 fof(f428,definition,(
% 35.61/4.95 sQ43_spl <=> (xn=sdtasdt0(xm,sdtsldt0(xn,xm)))),
% 35.61/4.95 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 35.61/4.95 fof(f429,plain,(
% 35.61/4.95 xn=sdtasdt0(xm,sdtsldt0(xn,xm))|~sQ43_spl),
% 35.61/4.95 inference(component_clause,[status(thm)],[f428])).
% 35.61/4.95 fof(f431,plain,(
% 35.61/4.95 ~sQ41_spl|~sQ42_spl|sQ22_spl|sQ43_spl),
% 35.61/4.95 inference(split_clause,[status(thm)],[f420,f422,f425,f298,f428])).
% 35.61/4.95 fof(f432,definition,(
% 35.61/4.95 sQ44_spl <=> (aNaturalNumber0(sdtsldt0(xn,xm)))),
% 35.61/4.95 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 35.61/4.95 fof(f433,plain,(
% 35.61/4.95 aNaturalNumber0(sdtsldt0(xn,xm))|~sQ44_spl),
% 35.61/4.95 inference(component_clause,[status(thm)],[f432])).
% 35.61/4.95 fof(f435,plain,(
% 35.61/4.95 ~sQ41_spl|~sQ42_spl|sQ22_spl|sQ44_spl),
% 35.61/4.95 inference(split_clause,[status(thm)],[f421,f422,f425,f298,f432])).
% 35.61/4.95 fof(f436,plain,(
% 35.61/4.95 $false|sQ42_spl),
% 35.61/4.95 inference(forward_subsumption_resolution,[status(thm)],[f427,f139])).
% 35.61/4.95 fof(f437,plain,(
% 35.61/4.95 sQ42_spl),
% 35.61/4.95 inference(contradiction_clause,[status(thm)],[f436])).
% 35.61/4.95 fof(f481,plain,(
% 35.61/4.95 $false|sQ41_spl),
% 35.61/4.95 inference(forward_subsumption_resolution,[status(thm)],[f138,f424])).
% 35.61/4.95 fof(f482,plain,(
% 35.61/4.95 sQ41_spl),
% 35.61/4.95 inference(contradiction_clause,[status(thm)],[f481])).
% 35.61/4.95 fof(f494,plain,(
% 35.61/4.95 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|xm=sz00|X0=X1|~sdtlseqdt0(X0,X1)|sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(X1,xm)))),
% 35.61/4.95 inference(resolution,[status(thm)],[f138,f110])).
% 35.61/4.95 fof(f514,definition,(
% 35.61/4.95 ![X0,X1]: (sQ48_spl <=> (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(X1,xm))))),
% 35.61/4.95 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 35.61/4.95 fof(f515,plain,(
% 35.61/4.95 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|X0=X1|~sdtlseqdt0(X0,X1)|sdtlseqdt0(sdtasdt0(X0,xm),sdtasdt0(X1,xm))|~sQ48_spl)),
% 35.61/4.95 inference(component_clause,[status(thm)],[f514])).
% 35.61/4.95 fof(f517,plain,(
% 35.61/4.95 sQ48_spl|sQ22_spl),
% 35.61/4.95 inference(split_clause,[status(thm)],[f494,f514,f298])).
% 35.61/4.95 fof(f658,plain,(
% 35.61/4.95 sdtlseqdt0(sz00,sdtpldt0(sz00,xn))),
% 35.61/4.95 inference(resolution,[status(thm)],[f162,f139])).
% 35.61/4.95 fof(f661,plain,(
% 35.61/4.95 sdtlseqdt0(sz00,xn)),
% 35.61/4.95 inference(forward_demodulation,[status(thm)],[f187,f658])).
% 35.61/4.95 fof(f662,plain,(
% 35.61/4.95 $false|sQ8_spl),
% 35.61/4.95 inference(forward_subsumption_resolution,[status(thm)],[f661,f233])).
% 35.61/4.95 fof(f663,plain,(
% 35.61/4.95 sQ8_spl),
% 35.61/4.95 inference(contradiction_clause,[status(thm)],[f662])).
% 35.61/4.95 fof(f735,definition,(
% 35.61/4.95 sQ74_spl <=> (aNaturalNumber0(sz10))),
% 35.61/4.95 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 35.61/4.95 fof(f737,plain,(
% 35.61/4.95 ~aNaturalNumber0(sz10)|sQ74_spl),
% 35.61/4.95 inference(component_clause,[status(thm)],[f735])).
% 35.61/4.95 fof(f770,plain,(
% 35.61/4.95 $false|sQ74_spl),
% 35.61/4.95 inference(forward_subsumption_resolution,[status(thm)],[f737,f43])).
% 35.61/4.95 fof(f771,plain,(
% 35.61/4.95 sQ74_spl),
% 35.61/4.95 inference(contradiction_clause,[status(thm)],[f770])).
% 35.61/4.95 fof(f1075,plain,(
% 35.61/4.95 aNaturalNumber0(sdtasdt0(xm,xm))),
% 35.61/4.95 inference(resolution,[status(thm)],[f172,f138])).
% 35.61/4.95 fof(f1079,plain,(
% 35.61/4.95 aNaturalNumber0(sdtpldt0(xm,xm))),
% 35.61/4.95 inference(resolution,[status(thm)],[f168,f138])).
% 35.61/4.95 fof(f1106,definition,(
% 35.61/4.95 sQ117_spl <=> (sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xm,xm)))),
% 35.61/4.95 introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition])).
% 35.61/4.95 fof(f1174,plain,(
% 35.61/4.95 sdtsldt0(xn,xm)=sz00|sdtsldt0(xn,xm)=sz10|sdtlseqdt0(sz10,sdtsldt0(xn,xm))|~sQ44_spl),
% 35.61/4.95 inference(resolution,[status(thm)],[f433,f113])).
% 35.61/4.95 fof(f1194,definition,(
% 35.61/4.95 sQ123_spl <=> (sdtsldt0(xn,xm)=sz00)),
% 35.61/4.95 introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition])).
% 35.61/4.95 fof(f1195,plain,(
% 35.61/4.95 sdtsldt0(xn,xm)=sz00|~sQ123_spl),
% 35.61/4.95 inference(component_clause,[status(thm)],[f1194])).
% 35.61/4.95 fof(f1221,definition,(
% 35.61/4.95 sQ130_spl <=> (sdtsldt0(xn,xm)=sz10)),
% 35.61/4.95 introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition])).
% 35.61/4.95 fof(f1222,plain,(
% 35.61/4.95 sdtsldt0(xn,xm)=sz10|~sQ130_spl),
% 35.61/4.95 inference(component_clause,[status(thm)],[f1221])).
% 35.61/4.95 fof(f1224,definition,(
% 35.61/4.95 sQ131_spl <=> (sdtlseqdt0(sz10,sdtsldt0(xn,xm)))),
% 35.61/4.95 introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition])).
% 35.61/4.95 fof(f1225,plain,(
% 35.61/4.95 sdtlseqdt0(sz10,sdtsldt0(xn,xm))|~sQ131_spl),
% 35.61/4.95 inference(component_clause,[status(thm)],[f1224])).
% 35.61/4.95 fof(f1227,plain,(
% 35.61/4.95 sQ123_spl|sQ130_spl|sQ131_spl|~sQ44_spl),
% 35.61/4.95 inference(split_clause,[status(thm)],[f1174,f1194,f1221,f1224,f432])).
% 35.61/4.95 fof(f1276,plain,(
% 35.61/4.95 xn=sdtasdt0(xm,sz00)|~sQ123_spl|~sQ43_spl),
% 35.61/4.95 inference(backward_demodulation,[status(thm)],[f1195,f429])).
% 35.61/4.95 fof(f1666,plain,(
% 35.61/4.95 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(xm,X0)=sdtasdt0(X0,xm))),
% 35.61/4.95 inference(resolution,[status(thm)],[f57,f138])).
% 35.61/4.95 fof(f1674,plain,(
% 35.61/4.95 sdtasdt0(xm,sz10)=xm),
% 35.61/4.95 inference(resolution,[status(thm)],[f61,f138])).
% 35.61/4.95 fof(f1699,plain,(
% 35.61/4.95 xm=sdtasdt0(sz10,xm)),
% 35.61/4.95 inference(resolution,[status(thm)],[f62,f138])).
% 35.61/4.95 fof(f1716,plain,(
% 35.61/4.95 sdtasdt0(xm,sz00)=sz00),
% 35.61/4.95 inference(resolution,[status(thm)],[f64,f138])).
% 35.61/4.95 fof(f2148,plain,(
% 35.61/4.95 xn=sz00|~sQ123_spl|~sQ43_spl),
% 35.61/4.95 inference(forward_demodulation,[status(thm)],[f1716,f1276])).
% 35.61/4.95 fof(f2149,plain,(
% 35.61/4.95 $false|~sQ123_spl|~sQ43_spl),
% 35.61/4.95 inference(forward_subsumption_resolution,[status(thm)],[f2148,f141])).
% 35.61/4.95 fof(f2150,plain,(
% 35.61/4.95 ~sQ123_spl|~sQ43_spl),
% 35.61/4.95 inference(contradiction_clause,[status(thm)],[f2149])).
% 35.61/4.95 fof(f2238,definition,(
% 35.61/4.95 sQ195_spl <=> (xn=xm)),
% 35.61/4.95 introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition])).
% 35.61/4.95 fof(f2239,plain,(
% 35.61/4.95 xn=xm|~sQ195_spl),
% 35.61/4.95 inference(component_clause,[status(thm)],[f2238])).
% 35.61/4.95 fof(f2240,plain,(
% 35.61/4.95 ~xn=xm|sQ195_spl),
% 35.61/4.95 inference(component_clause,[status(thm)],[f2238])).
% 35.61/4.95 fof(f2307,plain,(
% 35.61/4.95 ~sdtlseqdt0(xm,xm)|~sQ195_spl),
% 35.61/4.95 inference(backward_demodulation,[status(thm)],[f2239,f142])).
% 35.61/4.95 fof(f2419,plain,(
% 35.61/4.95 $false|~sQ195_spl),
% 35.61/4.95 inference(forward_subsumption_resolution,[status(thm)],[f2307,f157])).
% 35.61/4.95 fof(f2420,plain,(
% 35.61/4.95 ~sQ195_spl),
% 35.61/4.95 inference(contradiction_clause,[status(thm)],[f2419])).
% 35.61/4.95 fof(f2873,plain,(
% 35.61/4.95 sdtasdt0(xm,sdtsldt0(xn,xm))=sdtasdt0(sdtsldt0(xn,xm),xm)|~sQ44_spl),
% 35.61/4.95 inference(resolution,[status(thm)],[f433,f1666])).
% 35.61/4.95 fof(f2919,plain,(
% 35.61/4.95 xn=sdtasdt0(sdtsldt0(xn,xm),xm)|~sQ43_spl|~sQ44_spl),
% 35.61/4.95 inference(forward_demodulation,[status(thm)],[f429,f2873])).
% 35.61/4.95 fof(f4184,plain,(
% 35.61/4.95 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(sdtasdt0(xm,xm),X0)|sdtlseqdt0(X0,sdtasdt0(xm,xm)))),
% 35.61/4.95 inference(resolution,[status(thm)],[f1075,f100])).
% 35.61/4.95 fof(f4291,plain,(
% 35.61/4.95 sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))|sdtlseqdt0(sdtasdt0(xm,xm),sdtasdt0(xm,xm))),
% 35.61/4.95 inference(resolution,[status(thm)],[f4184,f1075])).
% 35.61/4.95 fof(f4297,plain,(
% 35.61/4.95 sQ117_spl),
% 35.61/4.95 inference(split_clause,[status(thm)],[f4291,f1106])).
% 35.61/4.95 fof(f6034,definition,(
% 35.61/4.95 sQ488_spl <=> (aNaturalNumber0(sdtasdt0(xm,xm)))),
% 35.61/4.95 introduced(definition,[new_symbols(definition,[sQ488_spl])],[split_symbol_definition])).
% 35.61/4.95 fof(f6036,plain,(
% 35.61/4.95 ~aNaturalNumber0(sdtasdt0(xm,xm))|sQ488_spl),
% 35.61/4.95 inference(component_clause,[status(thm)],[f6034])).
% 35.61/4.95 fof(f6134,plain,(
% 35.61/4.95 $false|sQ488_spl),
% 35.61/4.95 inference(forward_subsumption_resolution,[status(thm)],[f6036,f1075])).
% 35.61/4.95 fof(f6135,plain,(
% 35.61/4.95 sQ488_spl),
% 35.61/4.95 inference(contradiction_clause,[status(thm)],[f6134])).
% 35.61/4.95 fof(f11963,definition,(
% 35.61/4.95 sQ814_spl <=> (aNaturalNumber0(sdtpldt0(xm,xm)))),
% 35.61/4.95 introduced(definition,[new_symbols(definition,[sQ814_spl])],[split_symbol_definition])).
% 35.61/4.95 fof(f11965,plain,(
% 35.61/4.95 ~aNaturalNumber0(sdtpldt0(xm,xm))|sQ814_spl),
% 35.61/4.95 inference(component_clause,[status(thm)],[f11963])).
% 35.61/4.95 fof(f12082,plain,(
% 35.61/4.95 $false|sQ814_spl),
% 35.61/4.95 inference(forward_subsumption_resolution,[status(thm)],[f11965,f1079])).
% 35.61/4.95 fof(f12083,plain,(
% 35.61/4.95 sQ814_spl),
% 35.61/4.95 inference(contradiction_clause,[status(thm)],[f12082])).
% 35.61/4.95 fof(f12996,plain,(
% 35.61/4.95 ~aNaturalNumber0(sz10)|~aNaturalNumber0(sdtsldt0(xn,xm))|sz10=sdtsldt0(xn,xm)|sdtlseqdt0(sdtasdt0(sz10,xm),sdtasdt0(sdtsldt0(xn,xm),xm))|~sQ131_spl|~sQ48_spl),
% 35.61/4.95 inference(resolution,[status(thm)],[f1225,f515])).
% 35.61/4.97 fof(f13081,definition,(
% 35.61/4.97 sQ884_spl <=> (sdtlseqdt0(sdtasdt0(sz10,xm),sdtasdt0(sdtsldt0(xn,xm),xm)))),
% 35.61/4.97 introduced(definition,[new_symbols(definition,[sQ884_spl])],[split_symbol_definition])).
% 35.61/4.97 fof(f13082,plain,(
% 35.61/4.97 sdtlseqdt0(sdtasdt0(sz10,xm),sdtasdt0(sdtsldt0(xn,xm),xm))|~sQ884_spl),
% 35.61/4.97 inference(component_clause,[status(thm)],[f13081])).
% 35.61/4.97 fof(f13084,plain,(
% 35.61/4.97 ~sQ74_spl|~sQ44_spl|sQ130_spl|sQ884_spl|~sQ131_spl|~sQ48_spl),
% 35.61/4.97 inference(split_clause,[status(thm)],[f12996,f735,f432,f1221,f13081,f1224,f514])).
% 35.61/4.97 fof(f13130,plain,(
% 35.61/4.97 sdtlseqdt0(xm,sdtasdt0(sdtsldt0(xn,xm),xm))|~sQ884_spl),
% 35.61/4.97 inference(forward_demodulation,[status(thm)],[f1699,f13082])).
% 35.61/4.97 fof(f13131,plain,(
% 35.61/4.97 sdtlseqdt0(xm,xn)|~sQ43_spl|~sQ44_spl|~sQ884_spl),
% 35.61/4.97 inference(forward_demodulation,[status(thm)],[f2919,f13130])).
% 35.61/4.97 fof(f13132,plain,(
% 35.61/4.97 $false|~sQ43_spl|~sQ44_spl|~sQ884_spl),
% 35.61/4.97 inference(forward_subsumption_resolution,[status(thm)],[f13131,f142])).
% 35.61/4.97 fof(f13133,plain,(
% 35.61/4.97 ~sQ43_spl|~sQ44_spl|~sQ884_spl),
% 35.61/4.97 inference(contradiction_clause,[status(thm)],[f13132])).
% 35.61/4.97 fof(f13136,plain,(
% 35.61/4.97 xn=sdtasdt0(xm,sz10)|~sQ130_spl|~sQ43_spl),
% 35.61/4.97 inference(backward_demodulation,[status(thm)],[f1222,f429])).
% 35.61/4.97 fof(f13236,plain,(
% 35.61/4.97 xn=xm|~sQ130_spl|~sQ43_spl),
% 35.61/4.97 inference(forward_demodulation,[status(thm)],[f1674,f13136])).
% 35.61/4.97 fof(f13237,plain,(
% 35.61/4.97 $false|sQ195_spl|~sQ130_spl|~sQ43_spl),
% 35.61/4.97 inference(forward_subsumption_resolution,[status(thm)],[f13236,f2240])).
% 35.61/4.97 fof(f13238,plain,(
% 35.61/4.97 sQ195_spl|~sQ130_spl|~sQ43_spl),
% 35.61/4.97 inference(contradiction_clause,[status(thm)],[f13237])).
% 35.61/4.97 fof(f13239,plain,(
% 35.61/4.97 $false),
% 35.61/4.97 inference(sat_refutation,[status(thm)],[f326,f431,f435,f437,f482,f517,f663,f771,f1227,f2150,f2420,f4297,f6135,f12083,f13084,f13133,f13238])).
% 35.61/4.97 % SZS output end CNFRefutation for theBenchmark.p
% 10.51/5.00 % Elapsed time: 4.617480 seconds
% 10.51/5.00 % CPU time: 36.291461 seconds
% 10.51/5.00 % Total memory used: 303.691 MB
% 10.51/5.00 % Net memory used: 278.596 MB
%------------------------------------------------------------------------------