%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG095+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 : n016.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 02:05:20 PM UTC 2026
% Result : Theorem 0.23s 5.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG095+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.62 % Computer : n016.cluster.edu
% 0.18/5.62 % Model : x86_64 x86_64
% 0.18/5.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.62 % Memory : 8046.5625MB
% 0.18/5.62 % OS : Linux 6.8.0-71-generic
% 0.18/5.62 % CPULimit : 300
% 0.18/5.62 % WCLimit : 300
% 0.18/5.62 % DateTime : Mon Sep 21 04:24:13 UTC 2026
% 0.18/5.63 % CPUTime :
% 0.18/5.63 % Drodi V4.1.1
% 0.23/5.71 % Refutation found
% 0.23/5.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/5.71 % SZS output start CNFRefutation for theBenchmark
% 0.23/5.71 fof(f3,axiom,(
% 0.23/5.71 aElement0(sz10) ),
% 0.23/5.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.71 fof(f29,hypothesis,(
% 0.23/5.71 (! [W0] :( aElement0(W0)=> ( (? [W1,W2] :( aElementOf0(W1,xI)& aElementOf0(W2,xJ)& sdtpldt0(W1,W2) = W0 ))& aElementOf0(W0,sdtpldt1(xI,xJ)) ) ) )),
% 0.23/5.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.71 fof(f31,conjecture,(
% 0.23/5.71 (? [W0,W1] :( aElementOf0(W0,xI)& aElementOf0(W1,xJ)& sdtpldt0(W0,W1) = sz10 ) )),
% 0.23/5.71 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/5.71 fof(f32,negated_conjecture,(
% 0.23/5.71 ~((? [W0,W1] :( aElementOf0(W0,xI)& aElementOf0(W1,xJ)& sdtpldt0(W0,W1) = sz10 ) ))),
% 0.23/5.71 inference(negated_conjecture,[status(cth)],[f31])).
% 0.23/5.71 fof(f37,plain,(
% 0.23/5.71 aElement0(sz10)),
% 0.23/5.71 inference(cnf_transformation,[status(thm)],[f3])).
% 0.23/5.71 fof(f135,plain,(
% 0.23/5.71 ![W0]: (~aElement0(W0)|((?[W1,W2]: ((aElementOf0(W1,xI)&aElementOf0(W2,xJ))&sdtpldt0(W1,W2)=W0))&aElementOf0(W0,sdtpldt1(xI,xJ))))),
% 0.23/5.71 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.23/5.71 fof(f136,plain,(
% 0.23/5.71 ![W0]: (~aElement0(W0)|(((aElementOf0(sK11_skl(W0),xI)&aElementOf0(sK12_skl(W0),xJ))&sdtpldt0(sK11_skl(W0),sK12_skl(W0))=W0)&aElementOf0(W0,sdtpldt1(xI,xJ))))),
% 0.23/5.71 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl]),skolemize(W1,sK11_skl(W0)),skolemize(W2,sK12_skl(W0))],[f135])).
% 0.23/5.71 fof(f137,plain,(
% 0.23/5.71 ![X0]: (~aElement0(X0)|aElementOf0(sK11_skl(X0),xI))),
% 0.23/5.71 inference(cnf_transformation,[status(thm)],[f136])).
% 0.23/5.71 fof(f138,plain,(
% 0.23/5.71 ![X0]: (~aElement0(X0)|aElementOf0(sK12_skl(X0),xJ))),
% 0.23/5.71 inference(cnf_transformation,[status(thm)],[f136])).
% 0.23/5.71 fof(f139,plain,(
% 0.23/5.71 ![X0]: (~aElement0(X0)|sdtpldt0(sK11_skl(X0),sK12_skl(X0))=X0)),
% 0.23/5.71 inference(cnf_transformation,[status(thm)],[f136])).
% 0.23/5.71 fof(f143,plain,(
% 0.23/5.71 (![W0,W1]: ((~aElementOf0(W0,xI)|~aElementOf0(W1,xJ))|~sdtpldt0(W0,W1)=sz10))),
% 0.23/5.71 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.23/5.71 fof(f144,plain,(
% 0.23/5.71 ![X0,X1]: (~aElementOf0(X0,xI)|~aElementOf0(X1,xJ)|~sdtpldt0(X0,X1)=sz10)),
% 0.23/5.71 inference(cnf_transformation,[status(thm)],[f143])).
% 0.23/5.71 fof(f184,plain,(
% 0.23/5.71 aElementOf0(sK11_skl(sz10),xI)),
% 0.23/5.71 inference(resolution,[status(thm)],[f137,f37])).
% 0.23/5.71 fof(f185,plain,(
% 0.23/5.71 aElementOf0(sK12_skl(sz10),xJ)),
% 0.23/5.71 inference(resolution,[status(thm)],[f138,f37])).
% 0.23/5.71 fof(f186,plain,(
% 0.23/5.71 sdtpldt0(sK11_skl(sz10),sK12_skl(sz10))=sz10),
% 0.23/5.71 inference(resolution,[status(thm)],[f139,f37])).
% 0.23/5.71 fof(f278,plain,(
% 0.23/5.71 ~aElementOf0(sK11_skl(sz10),xI)|~aElementOf0(sK12_skl(sz10),xJ)),
% 0.23/5.71 inference(resolution,[status(thm)],[f186,f144])).
% 0.23/5.71 fof(f281,plain,(
% 0.23/5.71 ~aElementOf0(sK12_skl(sz10),xJ)),
% 0.23/5.71 inference(forward_subsumption_resolution,[status(thm)],[f278,f184])).
% 0.23/5.71 fof(f282,plain,(
% 0.23/5.71 $false),
% 0.23/5.71 inference(backward_subsumption_resolution,[status(thm)],[f185,f281])).
% 0.23/5.71 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/5.75 % Elapsed time: 0.110604 seconds
% 0.23/5.75 % CPU time: 0.350506 seconds
% 0.23/5.75 % Total memory used: 86.863 MB
% 0.23/5.75 % Net memory used: 86.569 MB
%------------------------------------------------------------------------------