%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM464+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 01:42:58 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM464+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n005.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 02:32:04 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f3,axiom,(
% 0.12/0.38 ( aNaturalNumber0(sz10)& sz10 != sz00 ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f20,axiom,(
% 0.12/0.38 (! [W0] :( aNaturalNumber0(W0)=> sdtlseqdt0(W0,W0) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f26,axiom,(
% 0.12/0.38 (! [W0] :( aNaturalNumber0(W0)=> ( W0 = sz00| W0 = sz10| ( sz10 != W0& sdtlseqdt0(sz10,W0) ) ) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f27,hypothesis,(
% 0.12/0.38 ( aNaturalNumber0(xm)& aNaturalNumber0(xn) ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f28,conjecture,(
% 0.12/0.38 ( xm != sz00=> sdtlseqdt0(sz10,xm) ) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f29,negated_conjecture,(
% 0.12/0.38 ~(( xm != sz00=> sdtlseqdt0(sz10,xm) ) )),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f28])).
% 0.12/0.38 fof(f34,plain,(
% 0.12/0.38 aNaturalNumber0(sz10)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.38 fof(f83,plain,(
% 0.12/0.38 ![W0]: (~aNaturalNumber0(W0)|sdtlseqdt0(W0,W0))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.12/0.38 fof(f84,plain,(
% 0.12/0.38 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f83])).
% 0.12/0.38 fof(f102,plain,(
% 0.12/0.38 ![W0]: (~aNaturalNumber0(W0)|((W0=sz00|W0=sz10)|(~sz10=W0&sdtlseqdt0(sz10,W0))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.12/0.38 fof(f104,plain,(
% 0.12/0.38 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|sdtlseqdt0(sz10,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f102])).
% 0.12/0.38 fof(f105,plain,(
% 0.12/0.38 aNaturalNumber0(xm)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f27])).
% 0.12/0.38 fof(f107,plain,(
% 0.12/0.38 (~xm=sz00&~sdtlseqdt0(sz10,xm))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.12/0.38 fof(f108,plain,(
% 0.12/0.38 ~xm=sz00),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f107])).
% 0.12/0.38 fof(f109,plain,(
% 0.12/0.38 ~sdtlseqdt0(sz10,xm)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f107])).
% 0.12/0.38 fof(f134,plain,(
% 0.12/0.38 sdtlseqdt0(sz10,sz10)),
% 0.12/0.38 inference(resolution,[status(thm)],[f84,f34])).
% 0.12/0.38 fof(f446,plain,(
% 0.12/0.38 xm=sz00|xm=sz10|sdtlseqdt0(sz10,xm)),
% 0.12/0.38 inference(resolution,[status(thm)],[f104,f105])).
% 0.12/0.38 fof(f449,plain,(
% 0.12/0.38 xm=sz10|sdtlseqdt0(sz10,xm)),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f446,f108])).
% 0.12/0.38 fof(f508,plain,(
% 0.12/0.38 ~sdtlseqdt0(sz10,sz10)),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f510,f109])).
% 0.12/0.38 fof(f510,plain,(
% 0.12/0.38 xm=sz10),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f449,f109])).
% 0.12/0.38 fof(f516,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f508,f134])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.052580 seconds
% 0.12/0.42 % CPU time: 0.163308 seconds
% 0.12/0.42 % Total memory used: 56.976 MB
% 0.12/0.42 % Net memory used: 56.814 MB
%------------------------------------------------------------------------------