%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM427+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 : n020.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 01:42:52 PM UTC 2026
% Result : Theorem 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM427+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.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 02:29:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f4,axiom,(
% 0.09/0.41 (! [W0] :( aInteger0(W0)=> aInteger0(smndt0(W0)) ) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f23,hypothesis,(
% 0.09/0.41 ( aInteger0(xn)& sdtasdt0(xq,xn) = sdtpldt0(xa,smndt0(xb)) ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f24,hypothesis,(
% 0.09/0.41 sdtasdt0(xq,smndt0(xn)) = sdtpldt0(xb,smndt0(xa)) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f25,conjecture,(
% 0.09/0.41 ( (? [W0] :( aInteger0(W0)& sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xa)) ))| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))| sdteqdtlpzmzozddtrp0(xb,xa,xq) ) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f26,negated_conjecture,(
% 0.09/0.41 ~(( (? [W0] :( aInteger0(W0)& sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xa)) ))| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))| sdteqdtlpzmzozddtrp0(xb,xa,xq) ) )),
% 0.09/0.41 inference(negated_conjecture,[status(cth)],[f25])).
% 0.09/0.41 fof(f32,plain,(
% 0.09/0.41 ![W0]: (~aInteger0(W0)|aInteger0(smndt0(W0)))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.41 fof(f33,plain,(
% 0.09/0.41 ![X0]: (~aInteger0(X0)|aInteger0(smndt0(X0)))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.41 fof(f90,plain,(
% 0.09/0.41 aInteger0(xn)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.41 fof(f92,plain,(
% 0.09/0.41 sdtasdt0(xq,smndt0(xn))=sdtpldt0(xb,smndt0(xa))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.09/0.41 fof(f93,plain,(
% 0.09/0.41 (((![W0]: (~aInteger0(W0)|~sdtasdt0(xq,W0)=sdtpldt0(xb,smndt0(xa))))&~aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa))))&~sdteqdtlpzmzozddtrp0(xb,xa,xq))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.09/0.41 fof(f94,plain,(
% 0.09/0.41 ![X0]: (~aInteger0(X0)|~sdtasdt0(xq,X0)=sdtpldt0(xb,smndt0(xa)))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f93])).
% 0.09/0.41 fof(f503,plain,(
% 0.09/0.41 ~aInteger0(smndt0(xn))),
% 0.09/0.41 inference(resolution,[status(thm)],[f92,f94])).
% 0.09/0.41 fof(f510,plain,(
% 0.09/0.41 ~aInteger0(xn)),
% 0.09/0.41 inference(resolution,[status(thm)],[f503,f33])).
% 0.09/0.41 fof(f511,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f510,f90])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.063316 seconds
% 0.09/0.43 % CPU time: 0.223401 seconds
% 0.09/0.43 % Total memory used: 105.012 MB
% 0.09/0.43 % Net memory used: 104.741 MB
%------------------------------------------------------------------------------