%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG091+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 : n010.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 0.13s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : RNG091+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
% 0.13/0.39 % Computer : n010.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 21 04:19:11 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.40 % Drodi V4.1.1
% 0.13/0.46 % Refutation found
% 0.13/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.46 fof(f29,hypothesis,(
% 0.13/0.46 ( aElementOf0(sdtpldt0(xk,xm),xI)& aElementOf0(sdtpldt0(xl,xn),xJ) ) ),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f30,hypothesis,(
% 0.13/0.46 ( aElementOf0(sdtasdt0(xz,xk),xI)& aElementOf0(sdtasdt0(xz,xl),xJ) ) ),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f31,hypothesis,(
% 0.13/0.46 sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)) ),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f32,hypothesis,(
% 0.13/0.46 sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)) ),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f33,conjecture,(
% 0.13/0.46 ( ( (? [W0,W1] :( aElementOf0(W0,xI)& aElementOf0(W1,xJ)& sdtpldt0(W0,W1) = sdtpldt0(xx,xy) ))| aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) )& ( (? [W0,W1] :( aElementOf0(W0,xI)& aElementOf0(W1,xJ)& sdtpldt0(W0,W1) = sdtasdt0(xz,xx) ))| aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ) ) ),
% 0.13/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f34,negated_conjecture,(
% 0.13/0.46 ~(( ( (? [W0,W1] :( aElementOf0(W0,xI)& aElementOf0(W1,xJ)& sdtpldt0(W0,W1) = sdtpldt0(xx,xy) ))| aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) )& ( (? [W0,W1] :( aElementOf0(W0,xI)& aElementOf0(W1,xJ)& sdtpldt0(W0,W1) = sdtasdt0(xz,xx) ))| aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ) ) )),
% 0.13/0.46 inference(negated_conjecture,[status(cth)],[f33])).
% 0.13/0.46 fof(f145,plain,(
% 0.13/0.46 aElementOf0(sdtpldt0(xk,xm),xI)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.46 fof(f146,plain,(
% 0.13/0.46 aElementOf0(sdtpldt0(xl,xn),xJ)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.46 fof(f147,plain,(
% 0.13/0.46 aElementOf0(sdtasdt0(xz,xk),xI)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.46 fof(f148,plain,(
% 0.13/0.46 aElementOf0(sdtasdt0(xz,xl),xJ)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.46 fof(f149,plain,(
% 0.13/0.46 sdtpldt0(xx,xy)=sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.46 fof(f150,plain,(
% 0.13/0.46 sdtasdt0(xz,xx)=sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.46 fof(f151,plain,(
% 0.13/0.46 (((![W0,W1]: ((~aElementOf0(W0,xI)|~aElementOf0(W1,xJ))|~sdtpldt0(W0,W1)=sdtpldt0(xx,xy)))&~aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)))|((![W0,W1]: ((~aElementOf0(W0,xI)|~aElementOf0(W1,xJ))|~sdtpldt0(W0,W1)=sdtasdt0(xz,xx)))&~aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))))),
% 0.13/0.46 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.13/0.46 fof(f152,definition,(
% 0.13/0.46 sP2_prd<=>((![W0,W1]: ((~aElementOf0(W0,xI)|~aElementOf0(W1,xJ))|~sdtpldt0(W0,W1)=sdtpldt0(xx,xy)))&~aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)))),
% 0.13/0.46 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.13/0.46 fof(f153,plain,(
% 0.13/0.46 sP2_prd|((![W0,W1]: ((~aElementOf0(W0,xI)|~aElementOf0(W1,xJ))|~sdtpldt0(W0,W1)=sdtasdt0(xz,xx)))&~aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)))),
% 0.13/0.46 inference(formula_renaming,[status(thm)],[f151,f152])).
% 0.13/0.46 fof(f154,plain,(
% 0.13/0.46 ![X0,X1]: (sP2_prd|~aElementOf0(X0,xI)|~aElementOf0(X1,xJ)|~sdtpldt0(X0,X1)=sdtasdt0(xz,xx))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f153])).
% 0.13/0.46 fof(f167,plain,(
% 0.13/0.46 (~sP2_prd|((![W0,W1]: ((~aElementOf0(W0,xI)|~aElementOf0(W1,xJ))|~sdtpldt0(W0,W1)=sdtpldt0(xx,xy)))&~aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))))&(sP2_prd|((?[W0,W1]: ((aElementOf0(W0,xI)&aElementOf0(W1,xJ))&sdtpldt0(W0,W1)=sdtpldt0(xx,xy)))|aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))))),
% 0.13/0.46 inference(NNF_transformation,[status(thm)],[f152])).
% 0.13/0.46 fof(f168,plain,(
% 0.13/0.46 (~sP2_prd|((![W0,W1]: ((~aElementOf0(W0,xI)|~aElementOf0(W1,xJ))|~sdtpldt0(W0,W1)=sdtpldt0(xx,xy)))&~aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))))&(sP2_prd|(((aElementOf0(sK15_skl,xI)&aElementOf0(sK16_skl,xJ))&sdtpldt0(sK15_skl,sK16_skl)=sdtpldt0(xx,xy))|aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))))),
% 0.13/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl,sK16_skl]),skolemize(W0,sK15_skl),skolemize(W1,sK16_skl)],[f167])).
% 0.13/0.46 fof(f169,plain,(
% 0.13/0.46 ![X0,X1]: (~sP2_prd|~aElementOf0(X0,xI)|~aElementOf0(X1,xJ)|~sdtpldt0(X0,X1)=sdtpldt0(xx,xy))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f168])).
% 0.13/0.46 fof(f1305,plain,(
% 0.13/0.46 ![X0]: (sP2_prd|~aElementOf0(X0,xI)|~sdtpldt0(X0,sdtasdt0(xz,xl))=sdtasdt0(xz,xx))),
% 0.13/0.46 inference(resolution,[status(thm)],[f148,f154])).
% 0.13/0.46 fof(f1406,plain,(
% 0.13/0.46 sP2_prd|~aElementOf0(sdtasdt0(xz,xk),xI)),
% 0.13/0.46 inference(resolution,[status(thm)],[f150,f1305])).
% 0.13/0.46 fof(f1409,plain,(
% 0.13/0.46 sP2_prd),
% 0.13/0.46 inference(forward_subsumption_resolution,[status(thm)],[f1406,f147])).
% 0.13/0.46 fof(f1421,plain,(
% 0.13/0.46 ![X0,X1]: (~aElementOf0(X0,xI)|~aElementOf0(X1,xJ)|~sdtpldt0(X0,X1)=sdtpldt0(xx,xy))),
% 0.13/0.46 inference(backward_subsumption_resolution,[status(thm)],[f169,f1409])).
% 0.13/0.46 fof(f1427,plain,(
% 0.13/0.46 ![X0]: (~aElementOf0(X0,xI)|~sdtpldt0(X0,sdtpldt0(xl,xn))=sdtpldt0(xx,xy))),
% 0.13/0.46 inference(resolution,[status(thm)],[f1421,f146])).
% 0.13/0.46 fof(f1881,plain,(
% 0.13/0.46 ~sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn))=sdtpldt0(xx,xy)),
% 0.13/0.46 inference(resolution,[status(thm)],[f1427,f145])).
% 0.13/0.46 fof(f1882,plain,(
% 0.13/0.46 ~sdtpldt0(xx,xy)=sdtpldt0(xx,xy)),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f149,f1881])).
% 0.13/0.46 fof(f1883,plain,(
% 0.13/0.46 $false),
% 0.13/0.46 inference(trivial_equality_resolution,[status(thm)],[f1882])).
% 0.13/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.49 % Elapsed time: 0.098402 seconds
% 0.18/0.49 % CPU time: 0.487211 seconds
% 0.18/0.49 % Total memory used: 63.287 MB
% 0.18/0.49 % Net memory used: 62.574 MB
%------------------------------------------------------------------------------