%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG088+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 : n008.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 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG088+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:19:25 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f25,hypothesis,(
% 0.13/0.39 ( 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) ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f27,hypothesis,(
% 0.13/0.39 ( aElementOf0(xk,xI)& aElementOf0(xl,xJ)& xx = sdtpldt0(xk,xl) ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f28,hypothesis,(
% 0.13/0.39 ( aElementOf0(xm,xI)& aElementOf0(xn,xJ)& xy = sdtpldt0(xm,xn) ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f29,conjecture,(
% 0.13/0.39 ( aElementOf0(sdtpldt0(xk,xm),xI)& aElementOf0(sdtpldt0(xl,xn),xJ) ) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f30,negated_conjecture,(
% 0.13/0.40 ~(( aElementOf0(sdtpldt0(xk,xm),xI)& aElementOf0(sdtpldt0(xl,xn),xJ) ) )),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f29])).
% 0.13/0.40 fof(f116,plain,(
% 0.13/0.40 ((((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)),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.13/0.40 fof(f118,plain,(
% 0.13/0.40 ![X0,X1]: (~aElementOf0(X0,xI)|~aElementOf0(X1,xI)|aElementOf0(sdtpldt0(X0,X1),xI))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f116])).
% 0.13/0.40 fof(f122,plain,(
% 0.13/0.40 ![X0,X1]: (~aElementOf0(X0,xJ)|~aElementOf0(X1,xJ)|aElementOf0(sdtpldt0(X0,X1),xJ))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f116])).
% 0.13/0.40 fof(f135,plain,(
% 0.13/0.40 aElementOf0(xk,xI)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.40 fof(f136,plain,(
% 0.13/0.40 aElementOf0(xl,xJ)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.40 fof(f138,plain,(
% 0.13/0.40 aElementOf0(xm,xI)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.40 fof(f139,plain,(
% 0.13/0.40 aElementOf0(xn,xJ)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.40 fof(f141,plain,(
% 0.13/0.40 (~aElementOf0(sdtpldt0(xk,xm),xI)|~aElementOf0(sdtpldt0(xl,xn),xJ))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.13/0.40 fof(f142,plain,(
% 0.13/0.40 ~aElementOf0(sdtpldt0(xk,xm),xI)|~aElementOf0(sdtpldt0(xl,xn),xJ)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f141])).
% 0.13/0.40 fof(f162,plain,(
% 0.13/0.40 ~aElementOf0(xl,xJ)|~aElementOf0(xn,xJ)|~aElementOf0(sdtpldt0(xk,xm),xI)),
% 0.13/0.40 inference(resolution,[status(thm)],[f122,f142])).
% 0.13/0.40 fof(f163,plain,(
% 0.13/0.40 ~aElementOf0(xn,xJ)|~aElementOf0(sdtpldt0(xk,xm),xI)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f162,f136])).
% 0.13/0.40 fof(f186,plain,(
% 0.13/0.40 ~aElementOf0(xn,xJ)|~aElementOf0(xk,xI)|~aElementOf0(xm,xI)),
% 0.13/0.40 inference(resolution,[status(thm)],[f163,f118])).
% 0.13/0.40 fof(f187,plain,(
% 0.13/0.40 ~aElementOf0(xk,xI)|~aElementOf0(xm,xI)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f186,f139])).
% 0.13/0.40 fof(f188,plain,(
% 0.13/0.40 ~aElementOf0(xk,xI)),
% 0.13/0.40 inference(resolution,[status(thm)],[f187,f138])).
% 0.13/0.40 fof(f189,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f188,f135])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.052479 seconds
% 0.13/0.43 % CPU time: 0.141510 seconds
% 0.13/0.43 % Total memory used: 27.229 MB
% 0.13/0.43 % Net memory used: 27.130 MB
%------------------------------------------------------------------------------