%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM505+3 : 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 : n018.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 01:43:04 PM UTC 2026
% Result : Theorem 3.99s 0.99s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM505+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:37:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 3.99/0.99 % Refutation found
% 3.99/0.99 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.99/0.99 % SZS output start CNFRefutation for theBenchmark
% 3.99/0.99 fof(f23,axiom,(
% 3.99/0.99 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)| ( W1 != W0& sdtlseqdt0(W1,W0) ) ) ) )),
% 3.99/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.99/0.99 fof(f39,hypothesis,(
% 3.99/0.99 ( aNaturalNumber0(xn)& aNaturalNumber0(xm)& aNaturalNumber0(xp) ) ),
% 3.99/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.99/0.99 fof(f45,hypothesis,(
% 3.99/0.99 ( aNaturalNumber0(xk)& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ) ),
% 3.99/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.99/0.99 fof(f50,conjecture,(
% 3.99/0.99 ( ~ ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xp,W0) = xk ))| sdtlseqdt0(xp,xk) )=> ( xk != xp& ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xk,W0) = xp ))| sdtlseqdt0(xk,xp) ) ) ) ),
% 3.99/0.99 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 3.99/0.99 fof(f51,negated_conjecture,(
% 3.99/0.99 ~(( ~ ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xp,W0) = xk ))| sdtlseqdt0(xp,xk) )=> ( xk != xp& ( (? [W0] :( aNaturalNumber0(W0)& sdtpldt0(xk,W0) = xp ))| sdtlseqdt0(xk,xp) ) ) ) )),
% 3.99/0.99 inference(negated_conjecture,[status(cth)],[f50])).
% 3.99/0.99 fof(f111,plain,(
% 3.99/0.99 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)|(~W1=W0&sdtlseqdt0(W1,W0))))),
% 3.99/0.99 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 3.99/0.99 fof(f113,plain,(
% 3.99/0.99 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|sdtlseqdt0(X1,X0))),
% 3.99/0.99 inference(cnf_transformation,[status(thm)],[f111])).
% 3.99/0.99 fof(f172,plain,(
% 3.99/0.99 aNaturalNumber0(xp)),
% 3.99/0.99 inference(cnf_transformation,[status(thm)],[f39])).
% 3.99/0.99 fof(f209,plain,(
% 3.99/0.99 aNaturalNumber0(xk)),
% 3.99/0.99 inference(cnf_transformation,[status(thm)],[f45])).
% 3.99/0.99 fof(f234,plain,(
% 3.99/0.99 (((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(xp,W0)=xk))&~sdtlseqdt0(xp,xk))&(xk=xp|((![W0]: (~aNaturalNumber0(W0)|~sdtpldt0(xk,W0)=xp))&~sdtlseqdt0(xk,xp))))),
% 3.99/0.99 inference(pre_NNF_transformation,[status(thm)],[f51])).
% 3.99/0.99 fof(f236,plain,(
% 3.99/0.99 ~sdtlseqdt0(xp,xk)),
% 3.99/0.99 inference(cnf_transformation,[status(thm)],[f234])).
% 3.99/0.99 fof(f238,plain,(
% 3.99/0.99 xk=xp|~sdtlseqdt0(xk,xp)),
% 3.99/0.99 inference(cnf_transformation,[status(thm)],[f234])).
% 3.99/0.99 fof(f319,plain,(
% 3.99/0.99 ![X0]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,xk)|sdtlseqdt0(xk,X0))),
% 3.99/0.99 inference(resolution,[status(thm)],[f113,f209])).
% 3.99/0.99 fof(f933,plain,(
% 3.99/0.99 sdtlseqdt0(xk,xk)|sdtlseqdt0(xk,xk)),
% 3.99/0.99 inference(resolution,[status(thm)],[f319,f209])).
% 3.99/0.99 fof(f934,plain,(
% 3.99/0.99 sdtlseqdt0(xp,xk)|sdtlseqdt0(xk,xp)),
% 3.99/0.99 inference(resolution,[status(thm)],[f319,f172])).
% 3.99/0.99 fof(f935,plain,(
% 3.99/0.99 sdtlseqdt0(xk,xk)),
% 3.99/0.99 inference(duplicate_literals_removal,[status(thm)],[f933])).
% 3.99/0.99 fof(f936,plain,(
% 3.99/0.99 sdtlseqdt0(xk,xp)),
% 3.99/0.99 inference(forward_subsumption_resolution,[status(thm)],[f934,f236])).
% 3.99/0.99 fof(f1253,plain,(
% 3.99/0.99 xk=xp),
% 3.99/0.99 inference(backward_subsumption_resolution,[status(thm)],[f238,f936])).
% 3.99/0.99 fof(f1298,plain,(
% 3.99/0.99 ~sdtlseqdt0(xk,xk)),
% 3.99/0.99 inference(backward_demodulation,[status(thm)],[f1253,f236])).
% 3.99/0.99 fof(f1801,plain,(
% 3.99/0.99 $false),
% 3.99/0.99 inference(forward_subsumption_resolution,[status(thm)],[f1298,f935])).
% 3.99/0.99 % SZS output end CNFRefutation for theBenchmark.p
% 0.72/1.00 % Elapsed time: 0.636430 seconds
% 0.72/1.00 % CPU time: 4.768813 seconds
% 0.72/1.00 % Total memory used: 154.638 MB
% 0.72/1.00 % Net memory used: 149.811 MB
%------------------------------------------------------------------------------