%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG086+2 : 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 : n019.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 0.11s 5.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG086+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.54 % Computer : n019.cluster.edu
% 0.11/5.54 % Model : x86_64 x86_64
% 0.11/5.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.54 % Memory : 8046.5625MB
% 0.11/5.54 % OS : Linux 6.8.0-71-generic
% 0.11/5.54 % CPULimit : 300
% 0.11/5.54 % WCLimit : 300
% 0.11/5.54 % DateTime : Mon Sep 21 04:18:55 UTC 2026
% 0.11/5.54 % CPUTime :
% 0.11/5.55 % Drodi V4.1.1
% 0.11/5.59 % Refutation found
% 0.11/5.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/5.59 % SZS output start CNFRefutation for theBenchmark
% 0.11/5.59 fof(f26,hypothesis,(
% 0.11/5.59 ( (? [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) ) ),
% 0.11/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/5.59 fof(f27,conjecture,(
% 0.11/5.59 (? [W0,W1] :( aElementOf0(W0,xI)& aElementOf0(W1,xJ)& xx = sdtpldt0(W0,W1) ) )),
% 0.11/5.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/5.59 fof(f28,negated_conjecture,(
% 0.11/5.59 ~((? [W0,W1] :( aElementOf0(W0,xI)& aElementOf0(W1,xJ)& xx = sdtpldt0(W0,W1) ) ))),
% 0.11/5.59 inference(negated_conjecture,[status(cth)],[f27])).
% 0.11/5.59 fof(f123,plain,(
% 0.11/5.59 (((((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)),
% 0.11/5.59 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])).
% 0.11/5.59 fof(f124,plain,(
% 0.11/5.59 aElementOf0(sK11_skl,xI)),
% 0.11/5.59 inference(cnf_transformation,[status(thm)],[f123])).
% 0.11/5.59 fof(f125,plain,(
% 0.11/5.59 aElementOf0(sK12_skl,xJ)),
% 0.11/5.59 inference(cnf_transformation,[status(thm)],[f123])).
% 0.11/5.59 fof(f126,plain,(
% 0.11/5.59 sdtpldt0(sK11_skl,sK12_skl)=xx),
% 0.11/5.59 inference(cnf_transformation,[status(thm)],[f123])).
% 0.11/5.59 fof(f133,plain,(
% 0.11/5.59 (![W0,W1]: ((~aElementOf0(W0,xI)|~aElementOf0(W1,xJ))|~xx=sdtpldt0(W0,W1)))),
% 0.11/5.59 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.11/5.59 fof(f134,plain,(
% 0.11/5.59 ![X0,X1]: (~aElementOf0(X0,xI)|~aElementOf0(X1,xJ)|~xx=sdtpldt0(X0,X1))),
% 0.11/5.59 inference(cnf_transformation,[status(thm)],[f133])).
% 0.11/5.59 fof(f290,plain,(
% 0.11/5.59 ~aElementOf0(sK11_skl,xI)|~aElementOf0(sK12_skl,xJ)),
% 0.11/5.59 inference(resolution,[status(thm)],[f126,f134])).
% 0.11/5.59 fof(f292,definition,(
% 0.11/5.59 sQ0_spl <=> (aElementOf0(sK11_skl,xI))),
% 0.11/5.59 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/5.59 fof(f294,plain,(
% 0.11/5.59 ~aElementOf0(sK11_skl,xI)|sQ0_spl),
% 0.11/5.59 inference(component_clause,[status(thm)],[f292])).
% 0.11/5.59 fof(f295,definition,(
% 0.11/5.59 sQ1_spl <=> (aElementOf0(sK12_skl,xJ))),
% 0.11/5.59 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/5.59 fof(f297,plain,(
% 0.11/5.59 ~aElementOf0(sK12_skl,xJ)|sQ1_spl),
% 0.11/5.59 inference(component_clause,[status(thm)],[f295])).
% 0.11/5.59 fof(f298,plain,(
% 0.11/5.59 ~sQ0_spl|~sQ1_spl),
% 0.11/5.59 inference(split_clause,[status(thm)],[f290,f292,f295])).
% 0.11/5.59 fof(f303,plain,(
% 0.11/5.59 $false|sQ0_spl),
% 0.11/5.59 inference(forward_subsumption_resolution,[status(thm)],[f294,f124])).
% 0.11/5.59 fof(f304,plain,(
% 0.11/5.59 sQ0_spl),
% 0.11/5.59 inference(contradiction_clause,[status(thm)],[f303])).
% 0.11/5.59 fof(f305,plain,(
% 0.11/5.59 $false|sQ1_spl),
% 0.11/5.59 inference(forward_subsumption_resolution,[status(thm)],[f297,f125])).
% 0.11/5.59 fof(f306,plain,(
% 0.11/5.59 sQ1_spl),
% 0.11/5.59 inference(contradiction_clause,[status(thm)],[f305])).
% 0.11/5.59 fof(f307,plain,(
% 0.11/5.59 $false),
% 0.11/5.59 inference(sat_refutation,[status(thm)],[f298,f304,f306])).
% 0.11/5.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/5.59 % Elapsed time: 0.047509 seconds
% 0.11/5.59 % CPU time: 0.138117 seconds
% 0.11/5.59 % Total memory used: 62.308 MB
% 0.11/5.59 % Net memory used: 62.206 MB
%------------------------------------------------------------------------------