%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM429+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 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM429+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 02:29:32 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f23,hypothesis,(
% 0.09/0.40 ( (? [W0] :( aInteger0(W0)& sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ))& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))& sdteqdtlpzmzozddtrp0(xa,xb,xq)& (? [W0] :( aInteger0(W0)& sdtasdt0(xq,W0) = sdtpldt0(xb,smndt0(xc)) ))& aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))& sdteqdtlpzmzozddtrp0(xb,xc,xq) ) ),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f24,conjecture,(
% 0.09/0.40 (? [W0] :( aInteger0(W0)& sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f25,negated_conjecture,(
% 0.09/0.40 ~((? [W0] :( aInteger0(W0)& sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) ) ))),
% 0.09/0.40 inference(negated_conjecture,[status(cth)],[f24])).
% 0.09/0.40 fof(f87,plain,(
% 0.09/0.40 (((((aInteger0(sK1_skl)&sdtasdt0(xq,sK1_skl)=sdtpldt0(xa,smndt0(xb)))&aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))))&sdteqdtlpzmzozddtrp0(xa,xb,xq))&(aInteger0(sK2_skl)&sdtasdt0(xq,sK2_skl)=sdtpldt0(xb,smndt0(xc))))&aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc))))&sdteqdtlpzmzozddtrp0(xb,xc,xq)),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(W0,sK1_skl),skolemize(W0,sK2_skl)],[f23])).
% 0.09/0.40 fof(f88,plain,(
% 0.09/0.40 aInteger0(sK1_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f87])).
% 0.09/0.40 fof(f89,plain,(
% 0.09/0.40 sdtasdt0(xq,sK1_skl)=sdtpldt0(xa,smndt0(xb))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f87])).
% 0.09/0.40 fof(f96,plain,(
% 0.09/0.40 (![W0]: (~aInteger0(W0)|~sdtasdt0(xq,W0)=sdtpldt0(xa,smndt0(xb))))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.09/0.40 fof(f97,plain,(
% 0.09/0.40 ![X0]: (~aInteger0(X0)|~sdtasdt0(xq,X0)=sdtpldt0(xa,smndt0(xb)))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f96])).
% 0.09/0.40 fof(f103,plain,(
% 0.09/0.40 ![X0]: (~aInteger0(X0)|~sdtasdt0(xq,X0)=sdtasdt0(xq,sK1_skl))),
% 0.09/0.40 inference(forward_demodulation,[status(thm)],[f89,f97])).
% 0.09/0.40 fof(f104,plain,(
% 0.09/0.40 ~aInteger0(sK1_skl)),
% 0.09/0.40 inference(equality_resolution,[status(thm)],[f103])).
% 0.09/0.40 fof(f105,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f104,f88])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.42 % Elapsed time: 0.056337 seconds
% 0.09/0.42 % CPU time: 0.155276 seconds
% 0.09/0.42 % Total memory used: 102.766 MB
% 0.09/0.42 % Net memory used: 102.624 MB
%------------------------------------------------------------------------------