%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM514+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 : n010.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 01:43:05 PM UTC 2026
% Result : Theorem 0.26s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM514+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n010.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 02:37:25 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.47 % Drodi V4.1.1
% 0.26/0.61 % Refutation found
% 0.26/0.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.26/0.61 % SZS output start CNFRefutation for theBenchmark
% 0.26/0.61 fof(f55,hypothesis,(
% 0.26/0.61 ( aNaturalNumber0(sdtsldt0(xk,xr))& xk = sdtasdt0(xr,sdtsldt0(xk,xr))& aNaturalNumber0(sdtsldt0(xn,xr))& xn = sdtasdt0(xr,sdtsldt0(xn,xr))& sdtasdt0(xp,sdtsldt0(xk,xr)) = sdtasdt0(sdtsldt0(xn,xr),xm) ) ),
% 0.26/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.61 fof(f56,conjecture,(
% 0.26/0.61 ( ( aNaturalNumber0(sdtsldt0(xn,xr))& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )=> ( (? [W0] :( aNaturalNumber0(W0)& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,W0) ))| doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ) ) ),
% 0.26/0.61 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.26/0.61 fof(f57,negated_conjecture,(
% 0.26/0.61 ~(( ( aNaturalNumber0(sdtsldt0(xn,xr))& xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )=> ( (? [W0] :( aNaturalNumber0(W0)& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,W0) ))| doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)) ) ) )),
% 0.26/0.61 inference(negated_conjecture,[status(cth)],[f56])).
% 0.26/0.61 fof(f271,plain,(
% 0.26/0.61 aNaturalNumber0(sdtsldt0(xk,xr))),
% 0.26/0.61 inference(cnf_transformation,[status(thm)],[f55])).
% 0.26/0.61 fof(f275,plain,(
% 0.26/0.61 sdtasdt0(xp,sdtsldt0(xk,xr))=sdtasdt0(sdtsldt0(xn,xr),xm)),
% 0.26/0.61 inference(cnf_transformation,[status(thm)],[f55])).
% 0.26/0.61 fof(f276,plain,(
% 0.26/0.61 ((aNaturalNumber0(sdtsldt0(xn,xr))&xn=sdtasdt0(xr,sdtsldt0(xn,xr)))&((![W0]: (~aNaturalNumber0(W0)|~sdtasdt0(sdtsldt0(xn,xr),xm)=sdtasdt0(xp,W0)))&~doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))))),
% 0.26/0.61 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.26/0.61 fof(f279,plain,(
% 0.26/0.61 ![X0]: (~aNaturalNumber0(X0)|~sdtasdt0(sdtsldt0(xn,xr),xm)=sdtasdt0(xp,X0))),
% 0.26/0.61 inference(cnf_transformation,[status(thm)],[f276])).
% 0.26/0.61 fof(f347,plain,(
% 0.26/0.61 ![X0]: (~aNaturalNumber0(X0)|~sdtasdt0(xp,sdtsldt0(xk,xr))=sdtasdt0(xp,X0))),
% 0.26/0.61 inference(forward_demodulation,[status(thm)],[f275,f279])).
% 0.26/0.61 fof(f349,plain,(
% 0.26/0.61 ~aNaturalNumber0(sdtsldt0(xk,xr))),
% 0.26/0.61 inference(equality_resolution,[status(thm)],[f347])).
% 0.26/0.61 fof(f350,plain,(
% 0.26/0.61 $false),
% 0.26/0.61 inference(forward_subsumption_resolution,[status(thm)],[f349,f271])).
% 0.26/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.63 % Elapsed time: 0.167297 seconds
% 0.26/0.63 % CPU time: 0.990381 seconds
% 0.26/0.63 % Total memory used: 119.320 MB
% 0.26/0.63 % Net memory used: 118.297 MB
%------------------------------------------------------------------------------