%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM423+3 : 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 : 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 01:42:51 PM UTC 2026
% Result : Theorem 0.20s 0.52s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM423+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.44 % Computer : n010.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 02:28:24 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.46 % Drodi V4.1.1
% 0.20/0.52 % Refutation found
% 0.20/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.52 fof(f2,axiom,(
% 0.20/0.52 aInteger0(sz00) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f10,axiom,(
% 0.20/0.52 (! [W0] :( aInteger0(W0)=> ( sdtpldt0(W0,smndt0(W0)) = sz00& sz00 = sdtpldt0(smndt0(W0),W0) ) ) )),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f15,axiom,(
% 0.20/0.52 (! [W0] :( aInteger0(W0)=> ( sdtasdt0(W0,sz00) = sz00& sz00 = sdtasdt0(sz00,W0) ) ) )),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f20,hypothesis,(
% 0.20/0.52 ( aInteger0(xa)& aInteger0(xq)& xq != sz00 ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f21,conjecture,(
% 0.20/0.52 ( (? [W0] :( aInteger0(W0)& sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xa)) ))| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))| sdteqdtlpzmzozddtrp0(xa,xa,xq) ) ),
% 0.20/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.52 fof(f22,negated_conjecture,(
% 0.20/0.52 ~(( (? [W0] :( aInteger0(W0)& sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xa)) ))| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))| sdteqdtlpzmzozddtrp0(xa,xa,xq) ) )),
% 0.20/0.52 inference(negated_conjecture,[status(cth)],[f21])).
% 0.20/0.52 fof(f26,plain,(
% 0.20/0.52 aInteger0(sz00)),
% 0.20/0.52 inference(cnf_transformation,[status(thm)],[f2])).
% 0.20/0.52 fof(f41,plain,(
% 0.20/0.52 ![W0]: (~aInteger0(W0)|(sdtpldt0(W0,smndt0(W0))=sz00&sz00=sdtpldt0(smndt0(W0),W0)))),
% 0.20/0.52 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.20/0.52 fof(f42,plain,(
% 0.20/0.52 ![X0]: (~aInteger0(X0)|sdtpldt0(X0,smndt0(X0))=sz00)),
% 0.20/0.52 inference(cnf_transformation,[status(thm)],[f41])).
% 0.20/0.52 fof(f54,plain,(
% 0.20/0.52 ![W0]: (~aInteger0(W0)|(sdtasdt0(W0,sz00)=sz00&sz00=sdtasdt0(sz00,W0)))),
% 0.20/0.52 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.20/0.52 fof(f55,plain,(
% 0.20/0.52 ![X0]: (~aInteger0(X0)|sdtasdt0(X0,sz00)=sz00)),
% 0.20/0.52 inference(cnf_transformation,[status(thm)],[f54])).
% 0.20/0.52 fof(f75,plain,(
% 0.20/0.52 aInteger0(xa)),
% 0.20/0.52 inference(cnf_transformation,[status(thm)],[f20])).
% 0.20/0.52 fof(f76,plain,(
% 0.20/0.52 aInteger0(xq)),
% 0.20/0.52 inference(cnf_transformation,[status(thm)],[f20])).
% 0.20/0.52 fof(f78,plain,(
% 0.20/0.52 (((![W0]: (~aInteger0(W0)|~sdtasdt0(xq,W0)=sdtpldt0(xa,smndt0(xa))))&~aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa))))&~sdteqdtlpzmzozddtrp0(xa,xa,xq))),
% 0.20/0.52 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.20/0.52 fof(f79,plain,(
% 0.20/0.52 ![X0]: (~aInteger0(X0)|~sdtasdt0(xq,X0)=sdtpldt0(xa,smndt0(xa)))),
% 0.20/0.52 inference(cnf_transformation,[status(thm)],[f78])).
% 0.20/0.52 fof(f87,plain,(
% 0.20/0.52 sdtpldt0(xa,smndt0(xa))=sz00),
% 0.20/0.52 inference(resolution,[status(thm)],[f42,f75])).
% 0.20/0.52 fof(f89,plain,(
% 0.20/0.52 ![X0]: (~aInteger0(X0)|~sdtasdt0(xq,X0)=sz00)),
% 0.20/0.52 inference(backward_demodulation,[status(thm)],[f87,f79])).
% 0.20/0.52 fof(f118,plain,(
% 0.20/0.52 sdtasdt0(xq,sz00)=sz00),
% 0.20/0.52 inference(resolution,[status(thm)],[f55,f76])).
% 0.20/0.52 fof(f122,plain,(
% 0.20/0.52 ~aInteger0(sz00)),
% 0.20/0.52 inference(resolution,[status(thm)],[f118,f89])).
% 0.20/0.52 fof(f125,plain,(
% 0.20/0.52 $false),
% 0.20/0.52 inference(forward_subsumption_resolution,[status(thm)],[f122,f26])).
% 0.20/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.54 % Elapsed time: 0.076970 seconds
% 0.20/0.54 % CPU time: 0.337669 seconds
% 0.20/0.54 % Total memory used: 66.191 MB
% 0.20/0.54 % Net memory used: 65.879 MB
%------------------------------------------------------------------------------