%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG087+2 : 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 : n013.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 02:05:19 PM UTC 2026
% Result : Theorem 0.15s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG087+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n013.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Mon Sep 21 04:18:21 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.45 % Drodi V4.1.1
% 0.15/0.48 % Refutation found
% 0.15/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.48 fof(f26,hypothesis,(
% 0.15/0.48 ( (? [W0,W1] :( aElementOf0(W0,xI)& aElementOf0(W1,xJ)& sdtpldt0(W0,W1) = xx ))& aElementOf0(xx,sdtpldt1(xI,xJ))& (? [W0,W1] :( aElementOf0(W0,xI)& aElementOf0(W1,xJ)& sdtpldt0(W0,W1) = xy ))& aElementOf0(xy,sdtpldt1(xI,xJ))& aElement0(xz) ) ),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f28,conjecture,(
% 0.15/0.48 (? [W0,W1] :( aElementOf0(W0,xI)& aElementOf0(W1,xJ)& xy = sdtpldt0(W0,W1) ) )),
% 0.15/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.48 fof(f29,negated_conjecture,(
% 0.15/0.48 ~((? [W0,W1] :( aElementOf0(W0,xI)& aElementOf0(W1,xJ)& xy = sdtpldt0(W0,W1) ) ))),
% 0.15/0.48 inference(negated_conjecture,[status(cth)],[f28])).
% 0.15/0.48 fof(f124,plain,(
% 0.15/0.48 (((((aElementOf0(sK11_skl,xI)&aElementOf0(sK12_skl,xJ))&sdtpldt0(sK11_skl,sK12_skl)=xx)&aElementOf0(xx,sdtpldt1(xI,xJ)))&((aElementOf0(sK13_skl,xI)&aElementOf0(sK14_skl,xJ))&sdtpldt0(sK13_skl,sK14_skl)=xy))&aElementOf0(xy,sdtpldt1(xI,xJ)))&aElement0(xz)),
% 0.15/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl,sK14_skl]),skolemize(W0,sK11_skl),skolemize(W1,sK12_skl),skolemize(W0,sK13_skl),skolemize(W1,sK14_skl)],[f26])).
% 0.15/0.48 fof(f129,plain,(
% 0.15/0.48 aElementOf0(sK13_skl,xI)),
% 0.15/0.48 inference(cnf_transformation,[status(thm)],[f124])).
% 0.15/0.48 fof(f130,plain,(
% 0.15/0.48 aElementOf0(sK14_skl,xJ)),
% 0.15/0.48 inference(cnf_transformation,[status(thm)],[f124])).
% 0.15/0.48 fof(f131,plain,(
% 0.15/0.48 sdtpldt0(sK13_skl,sK14_skl)=xy),
% 0.15/0.48 inference(cnf_transformation,[status(thm)],[f124])).
% 0.15/0.48 fof(f137,plain,(
% 0.15/0.48 (![W0,W1]: ((~aElementOf0(W0,xI)|~aElementOf0(W1,xJ))|~xy=sdtpldt0(W0,W1)))),
% 0.15/0.48 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.15/0.48 fof(f138,plain,(
% 0.15/0.48 ![X0,X1]: (~aElementOf0(X0,xI)|~aElementOf0(X1,xJ)|~xy=sdtpldt0(X0,X1))),
% 0.15/0.48 inference(cnf_transformation,[status(thm)],[f137])).
% 0.15/0.48 fof(f166,plain,(
% 0.15/0.48 ~aElementOf0(sK13_skl,xI)|~aElementOf0(sK14_skl,xJ)),
% 0.15/0.48 inference(resolution,[status(thm)],[f131,f138])).
% 0.15/0.48 fof(f171,plain,(
% 0.15/0.48 ~aElementOf0(sK14_skl,xJ)),
% 0.15/0.48 inference(forward_subsumption_resolution,[status(thm)],[f166,f129])).
% 0.15/0.48 fof(f172,plain,(
% 0.15/0.48 $false),
% 0.15/0.48 inference(backward_subsumption_resolution,[status(thm)],[f130,f171])).
% 0.15/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.55 % Elapsed time: 0.107455 seconds
% 0.15/0.55 % CPU time: 0.173566 seconds
% 0.15/0.55 % Total memory used: 36.513 MB
% 0.15/0.55 % Net memory used: 36.426 MB
%------------------------------------------------------------------------------