%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM519+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 : n009.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 01:43:06 PM UTC 2026
% Result : Theorem 0.02s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM519+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 02:36:42 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.40 % Refutation found
% 0.02/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.02/0.40 fof(f51,hypothesis,(
% 0.02/0.40 ( ( (? [W0] :( aNaturalNumber0(W0)& xn = sdtasdt0(xr,W0) ))& doDivides0(xr,xn) )| ( (? [W0] :( aNaturalNumber0(W0)& xm = sdtasdt0(xr,W0) ))& doDivides0(xr,xm) ) ) ),
% 0.02/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f52,hypothesis,(
% 0.02/0.40 ~ ( (? [W0] :( aNaturalNumber0(W0)& xn = sdtasdt0(xr,W0) ))| doDivides0(xr,xn) ) ),
% 0.02/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f53,hypothesis,(
% 0.02/0.40 ~ ( (? [W0] :( aNaturalNumber0(W0)& xm = sdtasdt0(xr,W0) ))| doDivides0(xr,xm) ) ),
% 0.02/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.02/0.40 fof(f243,definition,(
% 0.02/0.40 sP2_prd<=>((?[W0]: (aNaturalNumber0(W0)&xn=sdtasdt0(xr,W0)))&doDivides0(xr,xn))),
% 0.02/0.40 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.02/0.40 fof(f244,plain,(
% 0.02/0.40 sP2_prd|((?[W0]: (aNaturalNumber0(W0)&xm=sdtasdt0(xr,W0)))&doDivides0(xr,xm))),
% 0.02/0.40 inference(formula_renaming,[status(thm)],[f51,f243])).
% 0.02/0.40 fof(f245,plain,(
% 0.02/0.40 sP2_prd|((aNaturalNumber0(sK12_skl)&xm=sdtasdt0(xr,sK12_skl))&doDivides0(xr,xm))),
% 0.02/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl]),skolemize(W0,sK12_skl)],[f244])).
% 0.02/0.40 fof(f248,plain,(
% 0.02/0.40 sP2_prd|doDivides0(xr,xm)),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f245])).
% 0.02/0.40 fof(f249,plain,(
% 0.02/0.40 ((![W0]: (~aNaturalNumber0(W0)|~xn=sdtasdt0(xr,W0)))&~doDivides0(xr,xn))),
% 0.02/0.40 inference(pre_NNF_transformation,[status(thm)],[f52])).
% 0.02/0.40 fof(f251,plain,(
% 0.02/0.40 ~doDivides0(xr,xn)),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f249])).
% 0.02/0.40 fof(f252,plain,(
% 0.02/0.40 ((![W0]: (~aNaturalNumber0(W0)|~xm=sdtasdt0(xr,W0)))&~doDivides0(xr,xm))),
% 0.02/0.40 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.02/0.40 fof(f254,plain,(
% 0.02/0.40 ~doDivides0(xr,xm)),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f252])).
% 0.02/0.40 fof(f280,plain,(
% 0.02/0.40 (~sP2_prd|((?[W0]: (aNaturalNumber0(W0)&xn=sdtasdt0(xr,W0)))&doDivides0(xr,xn)))&(sP2_prd|((![W0]: (~aNaturalNumber0(W0)|~xn=sdtasdt0(xr,W0)))|~doDivides0(xr,xn)))),
% 0.02/0.40 inference(NNF_transformation,[status(thm)],[f243])).
% 0.02/0.40 fof(f281,plain,(
% 0.02/0.40 (~sP2_prd|((aNaturalNumber0(sK16_skl)&xn=sdtasdt0(xr,sK16_skl))&doDivides0(xr,xn)))&(sP2_prd|((![W0]: (~aNaturalNumber0(W0)|~xn=sdtasdt0(xr,W0)))|~doDivides0(xr,xn)))),
% 0.02/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl]),skolemize(W0,sK16_skl)],[f280])).
% 0.02/0.40 fof(f284,plain,(
% 0.02/0.40 ~sP2_prd|doDivides0(xr,xn)),
% 0.02/0.40 inference(cnf_transformation,[status(thm)],[f281])).
% 0.02/0.40 fof(f304,plain,(
% 0.02/0.40 sP2_prd),
% 0.02/0.40 inference(backward_subsumption_resolution,[status(thm)],[f248,f254])).
% 0.02/0.40 fof(f314,plain,(
% 0.02/0.40 ~sP2_prd),
% 0.02/0.40 inference(forward_subsumption_resolution,[status(thm)],[f284,f251])).
% 0.02/0.40 fof(f315,plain,(
% 0.02/0.40 $false),
% 0.02/0.40 inference(forward_subsumption_resolution,[status(thm)],[f304,f314])).
% 0.02/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/0.43 % Elapsed time: 0.061767 seconds
% 0.02/0.43 % CPU time: 0.218400 seconds
% 0.02/0.43 % Total memory used: 108.443 MB
% 0.02/0.43 % Net memory used: 108.203 MB
%------------------------------------------------------------------------------