%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG089+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 : n026.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 0.14s 0.61s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG089+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
% 0.09/0.56 % Computer : n026.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Mon Sep 21 04:21:53 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.14/0.58 % Drodi V4.1.1
% 0.14/0.61 % Refutation found
% 0.14/0.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.61 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.61 fof(f25,hypothesis,(
% 0.14/0.61 ( aSet0(xI)& (! [W0] :( aElementOf0(W0,xI)=> ( (! [W1] :( aElementOf0(W1,xI)=> aElementOf0(sdtpldt0(W0,W1),xI) ))& (! [W1] :( aElement0(W1)=> aElementOf0(sdtasdt0(W1,W0),xI) ) )) ))& aIdeal0(xI)& aSet0(xJ)& (! [W0] :( aElementOf0(W0,xJ)=> ( (! [W1] :( aElementOf0(W1,xJ)=> aElementOf0(sdtpldt0(W0,W1),xJ) ))& (! [W1] :( aElement0(W1)=> aElementOf0(sdtasdt0(W1,W0),xJ) ) )) ))& aIdeal0(xJ) ) ),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f26,hypothesis,(
% 0.14/0.61 ( (? [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) ) ),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f27,hypothesis,(
% 0.14/0.61 ( aElementOf0(xk,xI)& aElementOf0(xl,xJ)& xx = sdtpldt0(xk,xl) ) ),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f30,conjecture,(
% 0.14/0.61 ( aElementOf0(sdtasdt0(xz,xk),xI)& aElementOf0(sdtasdt0(xz,xl),xJ) ) ),
% 0.14/0.61 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.61 fof(f31,negated_conjecture,(
% 0.14/0.61 ~(( aElementOf0(sdtasdt0(xz,xk),xI)& aElementOf0(sdtasdt0(xz,xl),xJ) ) )),
% 0.14/0.61 inference(negated_conjecture,[status(cth)],[f30])).
% 0.14/0.61 fof(f117,plain,(
% 0.14/0.61 ((((aSet0(xI)&(![W0]: (~aElementOf0(W0,xI)|((![W1]: (~aElementOf0(W1,xI)|aElementOf0(sdtpldt0(W0,W1),xI)))&(![W1]: (~aElement0(W1)|aElementOf0(sdtasdt0(W1,W0),xI)))))))&aIdeal0(xI))&aSet0(xJ))&(![W0]: (~aElementOf0(W0,xJ)|((![W1]: (~aElementOf0(W1,xJ)|aElementOf0(sdtpldt0(W0,W1),xJ)))&(![W1]: (~aElement0(W1)|aElementOf0(sdtasdt0(W1,W0),xJ)))))))&aIdeal0(xJ)),
% 0.14/0.61 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.14/0.61 fof(f120,plain,(
% 0.14/0.61 ![X0,X1]: (~aElementOf0(X0,xI)|~aElement0(X1)|aElementOf0(sdtasdt0(X1,X0),xI))),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f117])).
% 0.14/0.61 fof(f124,plain,(
% 0.14/0.61 ![X0,X1]: (~aElementOf0(X0,xJ)|~aElement0(X1)|aElementOf0(sdtasdt0(X1,X0),xJ))),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f117])).
% 0.14/0.61 fof(f126,plain,(
% 0.14/0.61 (((((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)),
% 0.14/0.61 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])).
% 0.14/0.61 fof(f135,plain,(
% 0.14/0.61 aElement0(xz)),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f126])).
% 0.14/0.61 fof(f136,plain,(
% 0.14/0.61 aElementOf0(xk,xI)),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.61 fof(f137,plain,(
% 0.14/0.61 aElementOf0(xl,xJ)),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.61 fof(f144,plain,(
% 0.14/0.61 (~aElementOf0(sdtasdt0(xz,xk),xI)|~aElementOf0(sdtasdt0(xz,xl),xJ))),
% 0.14/0.61 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.14/0.61 fof(f145,plain,(
% 0.14/0.61 ~aElementOf0(sdtasdt0(xz,xk),xI)|~aElementOf0(sdtasdt0(xz,xl),xJ)),
% 0.14/0.61 inference(cnf_transformation,[status(thm)],[f144])).
% 0.14/0.61 fof(f169,plain,(
% 0.14/0.61 ~aElementOf0(xk,xI)|~aElement0(xz)|~aElementOf0(sdtasdt0(xz,xl),xJ)),
% 0.14/0.61 inference(resolution,[status(thm)],[f120,f145])).
% 0.14/0.61 fof(f170,plain,(
% 0.14/0.61 ~aElement0(xz)|~aElementOf0(sdtasdt0(xz,xl),xJ)),
% 0.14/0.61 inference(forward_subsumption_resolution,[status(thm)],[f169,f136])).
% 0.14/0.61 fof(f171,plain,(
% 0.14/0.61 ~aElementOf0(xl,xJ)|~aElement0(xz)|~aElement0(xz)),
% 0.14/0.61 inference(resolution,[status(thm)],[f124,f170])).
% 0.14/0.61 fof(f172,plain,(
% 0.14/0.61 ~aElementOf0(xl,xJ)|~aElement0(xz)),
% 0.14/0.61 inference(duplicate_literals_removal,[status(thm)],[f171])).
% 0.14/0.61 fof(f174,plain,(
% 0.14/0.61 ~aElement0(xz)),
% 0.14/0.61 inference(forward_subsumption_resolution,[status(thm)],[f172,f137])).
% 0.14/0.61 fof(f175,plain,(
% 0.14/0.61 $false),
% 0.14/0.61 inference(backward_subsumption_resolution,[status(thm)],[f135,f174])).
% 0.14/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.63 % Elapsed time: 0.061093 seconds
% 0.14/0.63 % CPU time: 0.167848 seconds
% 0.14/0.63 % Total memory used: 104.853 MB
% 0.14/0.63 % Net memory used: 104.722 MB
%------------------------------------------------------------------------------