%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM487+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 : n006.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 01:43:01 PM UTC 2026
% Result : Theorem 119.79s 15.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM487+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n006.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 02:33:57 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.47 % Drodi V4.1.1
% 119.79/15.76 % Refutation found
% 119.79/15.76 % SZS status Theorem for theBenchmark: Theorem is valid
% 119.79/15.76 % SZS output start CNFRefutation for theBenchmark
% 119.79/15.76 fof(f2,axiom,(
% 119.79/15.76 aNaturalNumber0(sz00) ),
% 119.79/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 119.79/15.76 fof(f4,axiom,(
% 119.79/15.76 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 119.79/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 119.79/15.76 fof(f6,axiom,(
% 119.79/15.76 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) )),
% 119.79/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 119.79/15.76 fof(f8,axiom,(
% 119.79/15.76 (! [W0] :( aNaturalNumber0(W0)=> ( sdtpldt0(W0,sz00) = W0& W0 = sdtpldt0(sz00,W0) ) ) )),
% 119.79/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 119.79/15.76 fof(f14,axiom,(
% 119.79/15.76 (! [W0,W1,W2] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1)& aNaturalNumber0(W2) )=> ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)| sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )=> W1 = W2 ) ) )),
% 119.79/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 119.79/15.76 fof(f18,definition,(
% 119.79/15.76 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) )) ) )),
% 119.79/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 119.79/15.76 fof(f19,definition,(
% 119.79/15.76 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)=> (! [W2] :( W2 = sdtmndt0(W1,W0)<=> ( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) ) )) ) )),
% 119.79/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 119.79/15.76 fof(f37,definition,(
% 119.79/15.76 (! [W0] :( aNaturalNumber0(W0)=> ( isPrime0(W0)<=> ( W0 != sz00& W0 != sz10& (! [W1] :( ( aNaturalNumber0(W1)& doDivides0(W1,W0) )=> ( W1 = sz10| W1 = W0 ) ) )) ) ) )),
% 119.79/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 119.79/15.76 fof(f39,hypothesis,(
% 119.79/15.76 ( aNaturalNumber0(xn)& aNaturalNumber0(xm)& aNaturalNumber0(xp) ) ),
% 119.79/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 119.79/15.76 fof(f41,hypothesis,(
% 119.79/15.76 ( isPrime0(xp)& doDivides0(xp,sdtasdt0(xn,xm)) ) ),
% 119.79/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 119.79/15.76 fof(f42,hypothesis,(
% 119.79/15.76 sdtlseqdt0(xp,xn) ),
% 119.79/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 119.79/15.76 fof(f43,hypothesis,(
% 119.79/15.76 xr = sdtmndt0(xn,xp) ),
% 119.79/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 119.79/15.76 fof(f44,conjecture,(
% 119.79/15.76 ( xr != xn& sdtlseqdt0(xr,xn) ) ),
% 119.79/15.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 119.79/15.76 fof(f45,negated_conjecture,(
% 119.79/15.76 ~(( xr != xn& sdtlseqdt0(xr,xn) ) )),
% 119.79/15.76 inference(negated_conjecture,[status(cth)],[f44])).
% 119.79/15.76 fof(f49,plain,(
% 119.79/15.76 aNaturalNumber0(sz00)),
% 119.79/15.76 inference(cnf_transformation,[status(thm)],[f2])).
% 119.79/15.76 fof(f52,plain,(
% 119.79/15.76 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 119.79/15.76 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 119.79/15.76 fof(f53,plain,(
% 119.79/15.76 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 119.79/15.76 inference(cnf_transformation,[status(thm)],[f52])).
% 119.79/15.76 fof(f56,plain,(
% 119.79/15.76 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|sdtpldt0(W0,W1)=sdtpldt0(W1,W0))),
% 119.79/15.76 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 119.79/15.76 fof(f57,plain,(
% 119.79/15.76 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtpldt0(X0,X1)=sdtpldt0(X1,X0))),
% 119.79/15.76 inference(cnf_transformation,[status(thm)],[f56])).
% 119.79/15.76 fof(f60,plain,(
% 119.79/15.76 ![W0]: (~aNaturalNumber0(W0)|(sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)))),
% 119.79/15.76 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 119.79/15.76 fof(f61,plain,(
% 119.79/15.76 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(X0,sz00)=X0)),
% 119.79/15.76 inference(cnf_transformation,[status(thm)],[f60])).
% 119.79/15.76 fof(f76,plain,(
% 119.79/15.76 ![W0,W1,W2]: (((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|~aNaturalNumber0(W2))|((~sdtpldt0(W0,W1)=sdtpldt0(W0,W2)&~sdtpldt0(W1,W0)=sdtpldt0(W2,W0))|W1=W2))),
% 119.79/15.76 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 119.79/15.76 fof(f77,plain,(
% 119.79/15.76 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X1)=sdtpldt0(X0,X2)|X1=X2)),
% 119.79/15.76 inference(cnf_transformation,[status(thm)],[f76])).
% 119.79/15.76 fof(f87,plain,(
% 119.79/15.76 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))))),
% 119.79/15.76 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 119.79/15.76 fof(f88,plain,(
% 119.79/15.76 ![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)))))),
% 119.79/15.76 inference(NNF_transformation,[status(thm)],[f87])).
% 119.79/15.76 fof(f89,plain,(
% 119.79/15.76 ![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)))))),
% 119.79/15.76 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W2,sK0_skl(W1,W0))],[f88])).
% 119.79/15.76 fof(f92,plain,(
% 119.79/15.76 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X2)=X1)),
% 119.79/15.76 inference(cnf_transformation,[status(thm)],[f89])).
% 119.79/15.76 fof(f93,plain,(
% 119.79/15.76 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|(![W2]: (W2=sdtmndt0(W1,W0)<=>(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))))),
% 119.79/15.76 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 119.79/15.76 fof(f94,plain,(
% 119.79/15.76 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|(![W2]: ((~W2=sdtmndt0(W1,W0)|(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))&(W2=sdtmndt0(W1,W0)|(~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1))))))),
% 119.79/15.76 inference(NNF_transformation,[status(thm)],[f93])).
% 119.79/15.76 fof(f95,plain,(
% 119.79/15.76 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|((![W2]: (~W2=sdtmndt0(W1,W0)|(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))&(![W2]: (W2=sdtmndt0(W1,W0)|(~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1))))))),
% 119.79/15.76 inference(miniscoping,[status(thm)],[f94])).
% 119.79/15.76 fof(f96,plain,(
% 119.79/15.76 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~X2=sdtmndt0(X1,X0)|aNaturalNumber0(X2))),
% 119.79/15.76 inference(cnf_transformation,[status(thm)],[f95])).
% 119.79/15.76 fof(f97,plain,(
% 119.79/15.76 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~X2=sdtmndt0(X1,X0)|sdtpldt0(X0,X2)=X1)),
% 119.79/15.76 inference(cnf_transformation,[status(thm)],[f95])).
% 119.79/15.76 fof(f149,plain,(
% 119.79/15.76 ![W0]: (~aNaturalNumber0(W0)|(isPrime0(W0)<=>((~W0=sz00&~W0=sz10)&(![W1]: ((~aNaturalNumber0(W1)|~doDivides0(W1,W0))|(W1=sz10|W1=W0))))))),
% 119.79/15.76 inference(pre_NNF_transformation,[status(thm)],[f37])).
% 119.79/15.76 fof(f150,plain,(
% 119.79/15.76 ![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)))))))),
% 119.79/15.76 inference(NNF_transformation,[status(thm)],[f149])).
% 119.79/15.76 fof(f151,plain,(
% 119.79/15.76 ![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(sK2_skl(W0))&doDivides0(sK2_skl(W0),W0))&(~sK2_skl(W0)=sz10&~sK2_skl(W0)=W0))))))),
% 119.79/15.76 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(W1,sK2_skl(W0))],[f150])).
% 119.79/15.76 fof(f152,plain,(
% 119.79/15.76 ![X0]: (~aNaturalNumber0(X0)|~isPrime0(X0)|~X0=sz00)),
% 119.79/15.76 inference(cnf_transformation,[status(thm)],[f151])).
% 119.79/15.76 fof(f164,plain,(
% 119.79/15.76 aNaturalNumber0(xn)),
% 119.79/15.76 inference(cnf_transformation,[status(thm)],[f39])).
% 119.79/15.76 fof(f166,plain,(
% 119.79/15.76 aNaturalNumber0(xp)),
% 119.79/15.76 inference(cnf_transformation,[status(thm)],[f39])).
% 119.79/15.76 fof(f169,plain,(
% 119.79/15.76 isPrime0(xp)),
% 119.79/15.76 inference(cnf_transformation,[status(thm)],[f41])).
% 119.79/15.76 fof(f171,plain,(
% 119.79/15.76 sdtlseqdt0(xp,xn)),
% 119.79/15.76 inference(cnf_transformation,[status(thm)],[f42])).
% 119.79/15.76 fof(f172,plain,(
% 119.79/15.76 xr=sdtmndt0(xn,xp)),
% 119.79/15.76 inference(cnf_transformation,[status(thm)],[f43])).
% 119.79/15.76 fof(f173,plain,(
% 119.79/15.76 (xr=xn|~sdtlseqdt0(xr,xn))),
% 119.79/15.76 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 119.79/15.76 fof(f174,plain,(
% 119.79/15.76 xr=xn|~sdtlseqdt0(xr,xn)),
% 119.79/15.76 inference(cnf_transformation,[status(thm)],[f173])).
% 119.79/15.76 fof(f175,plain,(
% 119.79/15.76 ![X0,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(X0,X2))|sdtlseqdt0(X0,sdtpldt0(X0,X2))|~aNaturalNumber0(X2))),
% 119.79/15.76 inference(destructive_equality_resolution,[status(thm)],[f92])).
% 119.79/15.76 fof(f176,plain,(
% 119.79/15.76 ![X0,X1]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,sdtpldt0(X0,X1))|~aNaturalNumber0(X1))),
% 120.60/15.83 inference(forward_subsumption_resolution,[status(thm)],[f175,f53])).
% 120.60/15.83 fof(f177,plain,(
% 120.60/15.83 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|aNaturalNumber0(sdtmndt0(X1,X0)))),
% 120.60/15.83 inference(destructive_equality_resolution,[status(thm)],[f96])).
% 120.60/15.83 fof(f178,plain,(
% 120.60/15.83 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|sdtpldt0(X0,sdtmndt0(X1,X0))=X1)),
% 120.60/15.83 inference(destructive_equality_resolution,[status(thm)],[f97])).
% 120.60/15.83 fof(f189,plain,(
% 120.60/15.83 ~aNaturalNumber0(sz00)|~isPrime0(sz00)),
% 120.60/15.83 inference(destructive_equality_resolution,[status(thm)],[f152])).
% 120.60/15.83 fof(f190,plain,(
% 120.60/15.83 ~isPrime0(sz00)),
% 120.60/15.83 inference(forward_subsumption_resolution,[status(thm)],[f189,f49])).
% 120.60/15.83 fof(f443,plain,(
% 120.60/15.83 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtpldt0(X0,sz00)=sdtpldt0(X0,X1)|sz00=X1)),
% 120.60/15.83 inference(resolution,[status(thm)],[f77,f49])).
% 120.60/15.83 fof(f567,plain,(
% 120.60/15.83 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|aNaturalNumber0(sdtmndt0(xn,X0)))),
% 120.60/15.83 inference(resolution,[status(thm)],[f177,f164])).
% 120.60/15.83 fof(f570,plain,(
% 120.60/15.83 ![X0]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,xn)|sdtpldt0(X0,sdtmndt0(xn,X0))=xn)),
% 120.60/15.83 inference(resolution,[status(thm)],[f178,f164])).
% 120.60/15.83 fof(f896,plain,(
% 120.60/15.83 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(X0,xp)=sdtpldt0(xp,X0))),
% 120.60/15.83 inference(resolution,[status(thm)],[f166,f57])).
% 120.60/15.83 fof(f1797,plain,(
% 120.60/15.83 ~sdtlseqdt0(xp,xn)|aNaturalNumber0(sdtmndt0(xn,xp))),
% 120.60/15.83 inference(resolution,[status(thm)],[f567,f166])).
% 120.60/15.83 fof(f1802,plain,(
% 120.60/15.83 ~sdtlseqdt0(xp,xn)|aNaturalNumber0(xr)),
% 120.60/15.83 inference(forward_demodulation,[status(thm)],[f172,f1797])).
% 120.60/15.83 fof(f1806,plain,(
% 120.60/15.83 aNaturalNumber0(xr)),
% 120.60/15.83 inference(forward_subsumption_resolution,[status(thm)],[f1802,f171])).
% 120.60/15.83 fof(f1827,plain,(
% 120.60/15.83 sdtpldt0(xr,xp)=sdtpldt0(xp,xr)),
% 120.60/15.83 inference(resolution,[status(thm)],[f1806,f896])).
% 120.60/15.83 fof(f1909,plain,(
% 120.60/15.83 sdtpldt0(xr,sz00)=xr),
% 120.60/15.83 inference(resolution,[status(thm)],[f1806,f61])).
% 120.60/15.83 fof(f2042,plain,(
% 120.60/15.83 ~sdtlseqdt0(xp,xn)|sdtpldt0(xp,sdtmndt0(xn,xp))=xn),
% 120.60/15.83 inference(resolution,[status(thm)],[f570,f166])).
% 120.60/15.83 fof(f2047,plain,(
% 120.60/15.83 ~sdtlseqdt0(xp,xn)|sdtpldt0(xp,xr)=xn),
% 120.60/15.83 inference(forward_demodulation,[status(thm)],[f172,f2042])).
% 120.60/15.83 fof(f2048,plain,(
% 120.60/15.83 ~sdtlseqdt0(xp,xn)|sdtpldt0(xr,xp)=xn),
% 120.60/15.83 inference(forward_demodulation,[status(thm)],[f1827,f2047])).
% 120.60/15.83 fof(f2059,plain,(
% 120.60/15.83 sdtpldt0(xr,xp)=xn),
% 120.60/15.83 inference(forward_subsumption_resolution,[status(thm)],[f2048,f171])).
% 120.60/15.83 fof(f2323,plain,(
% 120.60/15.83 ~aNaturalNumber0(xr)|sdtlseqdt0(xr,xn)|~aNaturalNumber0(xp)),
% 120.60/15.83 inference(paramodulation,[status(thm)],[f2059,f176])).
% 120.60/15.83 fof(f2328,plain,(
% 120.60/15.83 sdtlseqdt0(xr,xn)|~aNaturalNumber0(xp)),
% 120.60/15.83 inference(forward_subsumption_resolution,[status(thm)],[f2323,f1806])).
% 120.60/15.83 fof(f2455,plain,(
% 120.60/15.83 sdtlseqdt0(xr,xn)),
% 120.60/15.83 inference(resolution,[status(thm)],[f2328,f166])).
% 120.60/15.83 fof(f2456,plain,(
% 120.60/15.83 xr=xn),
% 120.60/15.83 inference(backward_subsumption_resolution,[status(thm)],[f174,f2455])).
% 120.60/15.83 fof(f2467,plain,(
% 120.60/15.83 sdtpldt0(xr,xp)=xr),
% 120.60/15.83 inference(backward_demodulation,[status(thm)],[f2456,f2059])).
% 120.60/15.83 fof(f5548,plain,(
% 120.60/15.83 ![X0]: (~aNaturalNumber0(X0)|~sdtpldt0(X0,sz00)=sdtpldt0(X0,xp)|sz00=xp)),
% 120.60/15.83 inference(resolution,[status(thm)],[f443,f166])).
% 120.60/15.83 fof(f5553,plain,(
% 120.60/15.83 ~sdtpldt0(xr,sz00)=sdtpldt0(xr,xp)|sz00=xp),
% 120.60/15.83 inference(resolution,[status(thm)],[f5548,f1806])).
% 120.60/15.83 fof(f5560,plain,(
% 120.60/15.83 ~xr=sdtpldt0(xr,xp)|sz00=xp),
% 120.60/15.83 inference(forward_demodulation,[status(thm)],[f1909,f5553])).
% 120.60/15.83 fof(f5561,plain,(
% 120.60/15.83 ~xr=xr|sz00=xp),
% 120.60/15.83 inference(forward_demodulation,[status(thm)],[f2467,f5560])).
% 120.60/15.83 fof(f5649,plain,(
% 120.60/15.83 ~isPrime0(xp)),
% 120.60/15.83 inference(backward_demodulation,[status(thm)],[f5978,f190])).
% 120.60/15.83 fof(f5978,plain,(
% 120.60/15.83 sz00=xp),
% 120.60/15.83 inference(trivial_equality_resolution,[status(thm)],[f5561])).
% 120.60/15.83 fof(f6074,plain,(
% 120.60/15.83 $false),
% 120.60/15.83 inference(forward_subsumption_resolution,[status(thm)],[f5649,f169])).
% 120.60/15.83 % SZS output end CNFRefutation for theBenchmark.p
% 88.09/16.99 % Elapsed time: 16.326269 seconds
% 88.09/16.99 % CPU time: 118.112812 seconds
% 88.09/16.99 % Total memory used: 466.462 MB
% 88.09/16.99 % Net memory used: 433.882 MB
%------------------------------------------------------------------------------