%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM458+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 : n019.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 01:42:57 PM UTC 2026
% Result : Theorem 0.08s 5.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM458+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
% 0.08/5.36 % Computer : n019.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Mon Sep 21 02:31:57 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.37 % Drodi V4.1.1
% 0.08/5.39 % Refutation found
% 0.08/5.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/5.39 % SZS output start CNFRefutation for theBenchmark
% 0.08/5.39 fof(f2,axiom,(
% 0.08/5.39 aNaturalNumber0(sz00) ),
% 0.08/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f4,axiom,(
% 0.08/5.39 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 0.08/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f8,axiom,(
% 0.08/5.39 (! [W0] :( aNaturalNumber0(W0)=> ( sdtpldt0(W0,sz00) = W0& W0 = sdtpldt0(sz00,W0) ) ) )),
% 0.08/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f18,definition,(
% 0.08/5.39 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) )) ) )),
% 0.08/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f20,hypothesis,(
% 0.08/5.39 aNaturalNumber0(xm) ),
% 0.08/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f21,conjecture,(
% 0.08/5.39 sdtlseqdt0(xm,xm) ),
% 0.08/5.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/5.39 fof(f22,negated_conjecture,(
% 0.08/5.39 ~(sdtlseqdt0(xm,xm) )),
% 0.08/5.39 inference(negated_conjecture,[status(cth)],[f21])).
% 0.08/5.39 fof(f26,plain,(
% 0.08/5.39 aNaturalNumber0(sz00)),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/5.39 fof(f29,plain,(
% 0.08/5.39 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 0.08/5.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.08/5.39 fof(f30,plain,(
% 0.08/5.39 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f29])).
% 0.08/5.39 fof(f37,plain,(
% 0.08/5.39 ![W0]: (~aNaturalNumber0(W0)|(sdtpldt0(W0,sz00)=W0&W0=sdtpldt0(sz00,W0)))),
% 0.08/5.39 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.08/5.39 fof(f38,plain,(
% 0.08/5.39 ![X0]: (~aNaturalNumber0(X0)|sdtpldt0(X0,sz00)=X0)),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.08/5.39 fof(f64,plain,(
% 0.08/5.39 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))))),
% 0.08/5.39 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.08/5.39 fof(f65,plain,(
% 0.08/5.39 ![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)))))),
% 0.08/5.39 inference(NNF_transformation,[status(thm)],[f64])).
% 0.08/5.39 fof(f66,plain,(
% 0.08/5.39 ![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)))))),
% 0.08/5.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W2,sK0_skl(W1,W0))],[f65])).
% 0.08/5.39 fof(f69,plain,(
% 0.08/5.39 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X2)=X1)),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f66])).
% 0.08/5.39 fof(f76,plain,(
% 0.08/5.39 aNaturalNumber0(xm)),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.08/5.39 fof(f77,plain,(
% 0.08/5.39 ~sdtlseqdt0(xm,xm)),
% 0.08/5.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.08/5.39 fof(f78,plain,(
% 0.08/5.39 ![X0,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(X0,X2))|sdtlseqdt0(X0,sdtpldt0(X0,X2))|~aNaturalNumber0(X2))),
% 0.08/5.39 inference(destructive_equality_resolution,[status(thm)],[f69])).
% 0.08/5.39 fof(f79,plain,(
% 0.08/5.39 ![X0,X1]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,sdtpldt0(X0,X1))|~aNaturalNumber0(X1))),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f78,f30])).
% 0.08/5.39 fof(f84,plain,(
% 0.08/5.39 ![X0]: (sdtlseqdt0(xm,sdtpldt0(xm,X0))|~aNaturalNumber0(X0))),
% 0.08/5.39 inference(resolution,[status(thm)],[f76,f79])).
% 0.08/5.39 fof(f86,plain,(
% 0.08/5.39 sdtlseqdt0(xm,sdtpldt0(xm,sz00))),
% 0.08/5.39 inference(resolution,[status(thm)],[f26,f84])).
% 0.08/5.39 fof(f95,plain,(
% 0.08/5.39 sdtpldt0(xm,sz00)=xm),
% 0.08/5.39 inference(resolution,[status(thm)],[f38,f76])).
% 0.08/5.39 fof(f97,plain,(
% 0.08/5.39 sdtlseqdt0(xm,xm)),
% 0.08/5.39 inference(backward_demodulation,[status(thm)],[f95,f86])).
% 0.08/5.39 fof(f98,plain,(
% 0.08/5.39 $false),
% 0.08/5.39 inference(forward_subsumption_resolution,[status(thm)],[f97,f77])).
% 0.08/5.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.41 % Elapsed time: 0.045000 seconds
% 0.14/5.41 % CPU time: 0.145207 seconds
% 0.14/5.41 % Total memory used: 80.818 MB
% 0.14/5.41 % Net memory used: 80.519 MB
%------------------------------------------------------------------------------