%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM464+2 : 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 : n003.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 0.21s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM464+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.47 % Computer : n003.cluster.edu
% 0.15/0.47 % Model : x86_64 x86_64
% 0.15/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.47 % Memory : 8046.5625MB
% 0.15/0.47 % OS : Linux 6.8.0-71-generic
% 0.15/0.47 % CPULimit : 300
% 0.15/0.47 % WCLimit : 300
% 0.15/0.47 % DateTime : Mon Sep 21 02:33:45 UTC 2026
% 0.15/0.47 % CPUTime :
% 0.15/0.49 % Drodi V4.1.1
% 0.21/0.61 % Refutation found
% 0.21/0.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.61 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.61 fof(f3,axiom,(
% 0.21/0.61 ( aNaturalNumber0(sz10)& sz10 != sz00 ) ),
% 0.21/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.61 fof(f23,axiom,(
% 0.21/0.61 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)| ( W1 != W0& sdtlseqdt0(W1,W0) ) ) ) )),
% 0.21/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.61 fof(f26,axiom,(
% 0.21/0.61 (! [W0] :( aNaturalNumber0(W0)=> ( W0 = sz00| W0 = sz10| ( sz10 != W0& sdtlseqdt0(sz10,W0) ) ) ) )),
% 0.21/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.61 fof(f27,hypothesis,(
% 0.21/0.61 ( aNaturalNumber0(xm)& aNaturalNumber0(xn) ) ),
% 0.21/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.61 fof(f28,conjecture,(
% 0.21/0.61 ( xm != sz00=> ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(sz10,W0) = xm ))| sdtlseqdt0(sz10,xm) ) ) ),
% 0.21/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.61 fof(f29,negated_conjecture,(
% 0.21/0.61 ~(( xm != sz00=> ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(sz10,W0) = xm ))| sdtlseqdt0(sz10,xm) ) ) )),
% 0.21/0.61 inference(negated_conjecture,[status(cth)],[f28])).
% 0.21/0.61 fof(f34,plain,(
% 0.21/0.61 aNaturalNumber0(sz10)),
% 0.21/0.61 inference(cnf_transformation,[status(thm)],[f3])).
% 0.21/0.61 fof(f89,plain,(
% 0.21/0.61 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)|(~W1=W0&sdtlseqdt0(W1,W0))))),
% 0.21/0.61 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.21/0.61 fof(f91,plain,(
% 0.21/0.61 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 0.21/0.61 inference(cnf_transformation,[status(thm)],[f89])).
% 0.21/0.61 fof(f102,plain,(
% 0.21/0.61 ![W0]: (~aNaturalNumber0(W0)|((W0=sz00|W0=sz10)|(~sz10=W0&sdtlseqdt0(sz10,W0))))),
% 0.21/0.61 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.21/0.61 fof(f104,plain,(
% 0.21/0.61 ![X0]: (~aNaturalNumber0(X0)|X0=sz00|X0=sz10|sdtlseqdt0(sz10,X0))),
% 0.21/0.61 inference(cnf_transformation,[status(thm)],[f102])).
% 0.21/0.61 fof(f105,plain,(
% 0.21/0.61 aNaturalNumber0(xm)),
% 0.21/0.61 inference(cnf_transformation,[status(thm)],[f27])).
% 0.21/0.61 fof(f107,plain,(
% 0.21/0.61 (~xm=sz00&((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(sz10,W0)=xm))&~sdtlseqdt0(sz10,xm)))),
% 0.21/0.61 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.21/0.61 fof(f108,plain,(
% 0.21/0.61 ~xm=sz00),
% 0.21/0.61 inference(cnf_transformation,[status(thm)],[f107])).
% 0.21/0.61 fof(f110,plain,(
% 0.21/0.61 ~sdtlseqdt0(sz10,xm)),
% 0.21/0.61 inference(cnf_transformation,[status(thm)],[f107])).
% 0.21/0.61 fof(f153,plain,(
% 0.21/0.61 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,sz10)|sdtlseqdt0(sz10,X0))),
% 0.21/0.61 inference(resolution,[status(thm)],[f91,f34])).
% 0.21/0.61 fof(f176,plain,(
% 0.21/0.61 sdtlseqdt0(sz10,sz10)|sdtlseqdt0(sz10,sz10)),
% 0.21/0.61 inference(resolution,[status(thm)],[f153,f34])).
% 0.21/0.61 fof(f178,plain,(
% 0.21/0.61 sdtlseqdt0(sz10,sz10)),
% 0.21/0.61 inference(duplicate_literals_removal,[status(thm)],[f176])).
% 0.21/0.61 fof(f186,plain,(
% 0.21/0.61 ~aNaturalNumber0(xm)|xm=sz00|xm=sz10),
% 0.21/0.61 inference(resolution,[status(thm)],[f104,f110])).
% 0.21/0.61 fof(f187,plain,(
% 0.21/0.61 xm=sz00|xm=sz10),
% 0.21/0.61 inference(forward_subsumption_resolution,[status(thm)],[f186,f105])).
% 0.21/0.61 fof(f190,plain,(
% 0.21/0.61 ~sdtlseqdt0(sz10,sz10)|xm=sz00),
% 0.21/0.61 inference(paramodulation,[status(thm)],[f187,f110])).
% 0.21/0.61 fof(f203,plain,(
% 0.21/0.61 ~sz00=sz00),
% 0.21/0.61 inference(backward_demodulation,[status(thm)],[f220,f108])).
% 0.21/0.61 fof(f220,plain,(
% 0.21/0.61 xm=sz00),
% 0.21/0.61 inference(forward_subsumption_resolution,[status(thm)],[f190,f178])).
% 0.21/0.61 fof(f226,plain,(
% 0.21/0.61 $false),
% 0.21/0.61 inference(trivial_equality_resolution,[status(thm)],[f203])).
% 0.21/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.66 % Elapsed time: 0.162197 seconds
% 0.21/0.66 % CPU time: 0.608160 seconds
% 0.21/0.66 % Total memory used: 85.787 MB
% 0.21/0.66 % Net memory used: 85.375 MB
%------------------------------------------------------------------------------