%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG115+4 : 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 02:05:23 PM UTC 2026
% Result : Theorem 0.09s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG115+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Mon Sep 21 04:23:53 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.40 % Drodi V4.1.1
% 0.09/0.43 % Refutation found
% 0.09/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.43 fof(f45,hypothesis,(
% 0.09/0.43 ( (? [W0,W1] :( aElementOf0(W0,slsdtgt0(xa))& aElementOf0(W1,slsdtgt0(xb))& sdtpldt0(W0,W1) = xu ))& aElementOf0(xu,xI)& xu != sz00& (! [W0] :( ( ( (? [W1,W2] :( aElementOf0(W1,slsdtgt0(xa))& aElementOf0(W2,slsdtgt0(xb))& sdtpldt0(W1,W2) = W0 ))| aElementOf0(W0,xI) )& W0 != sz00 )=> ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) )) ),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f47,conjecture,(
% 0.09/0.43 (? [W0,W1] :( ( (? [W2] :( aElement0(W2)& sdtasdt0(xa,W2) = W0 ))| aElementOf0(W0,slsdtgt0(xa)) )& ( (? [W2] :( aElement0(W2)& sdtasdt0(xb,W2) = W1 ))| aElementOf0(W1,slsdtgt0(xb)) )& xu = sdtpldt0(W0,W1) ) )),
% 0.09/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.43 fof(f48,negated_conjecture,(
% 0.09/0.43 ~((? [W0,W1] :( ( (? [W2] :( aElement0(W2)& sdtasdt0(xa,W2) = W0 ))| aElementOf0(W0,slsdtgt0(xa)) )& ( (? [W2] :( aElement0(W2)& sdtasdt0(xb,W2) = W1 ))| aElementOf0(W1,slsdtgt0(xb)) )& xu = sdtpldt0(W0,W1) ) ))),
% 0.09/0.43 inference(negated_conjecture,[status(cth)],[f47])).
% 0.09/0.43 fof(f268,plain,(
% 0.09/0.43 (((?[W0,W1]: ((aElementOf0(W0,slsdtgt0(xa))&aElementOf0(W1,slsdtgt0(xb)))&sdtpldt0(W0,W1)=xu))&aElementOf0(xu,xI))&~xu=sz00)&(![W0]: ((((![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))&~aElementOf0(W0,xI))|W0=sz00)|~iLess0(sbrdtbr0(W0),sbrdtbr0(xu))))),
% 0.09/0.43 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.09/0.43 fof(f269,plain,(
% 0.09/0.43 ((((aElementOf0(sK36_skl,slsdtgt0(xa))&aElementOf0(sK37_skl,slsdtgt0(xb)))&sdtpldt0(sK36_skl,sK37_skl)=xu)&aElementOf0(xu,xI))&~xu=sz00)&(![W0]: ((((![W1,W2]: ((~aElementOf0(W1,slsdtgt0(xa))|~aElementOf0(W2,slsdtgt0(xb)))|~sdtpldt0(W1,W2)=W0))&~aElementOf0(W0,xI))|W0=sz00)|~iLess0(sbrdtbr0(W0),sbrdtbr0(xu))))),
% 0.09/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK36_skl,sK37_skl]),skolemize(W0,sK36_skl),skolemize(W1,sK37_skl)],[f268])).
% 0.09/0.43 fof(f270,plain,(
% 0.09/0.43 aElementOf0(sK36_skl,slsdtgt0(xa))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f269])).
% 0.09/0.43 fof(f271,plain,(
% 0.09/0.43 aElementOf0(sK37_skl,slsdtgt0(xb))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f269])).
% 0.09/0.43 fof(f272,plain,(
% 0.09/0.43 sdtpldt0(sK36_skl,sK37_skl)=xu),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f269])).
% 0.09/0.43 fof(f283,plain,(
% 0.09/0.43 (![W0,W1]: ((((![W2]: (~aElement0(W2)|~sdtasdt0(xa,W2)=W0))&~aElementOf0(W0,slsdtgt0(xa)))|((![W2]: (~aElement0(W2)|~sdtasdt0(xb,W2)=W1))&~aElementOf0(W1,slsdtgt0(xb))))|~xu=sdtpldt0(W0,W1)))),
% 0.09/0.43 inference(pre_NNF_transformation,[status(thm)],[f48])).
% 0.09/0.43 fof(f284,definition,(
% 0.09/0.43 ![W0]: (sP5_prd(W0)<=>((![W2]: (~aElement0(W2)|~sdtasdt0(xa,W2)=W0))&~aElementOf0(W0,slsdtgt0(xa))))),
% 0.09/0.43 introduced(definition,[new_symbols(definition,[sP5_prd])],[])).
% 0.09/0.43 fof(f285,plain,(
% 0.09/0.43 ![W0,W1]: ((sP5_prd(W0)|((![W2]: (~aElement0(W2)|~sdtasdt0(xb,W2)=W1))&~aElementOf0(W1,slsdtgt0(xb))))|~xu=sdtpldt0(W0,W1))),
% 0.09/0.43 inference(formula_renaming,[status(thm)],[f283,f284])).
% 0.09/0.43 fof(f287,plain,(
% 0.09/0.43 ![X0,X1]: (sP5_prd(X0)|~aElementOf0(X1,slsdtgt0(xb))|~xu=sdtpldt0(X0,X1))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f285])).
% 0.09/0.43 fof(f323,plain,(
% 0.09/0.43 ![W0]: ((~sP5_prd(W0)|((![W2]: (~aElement0(W2)|~sdtasdt0(xa,W2)=W0))&~aElementOf0(W0,slsdtgt0(xa))))&(sP5_prd(W0)|((?[W2]: (aElement0(W2)&sdtasdt0(xa,W2)=W0))|aElementOf0(W0,slsdtgt0(xa)))))),
% 0.09/0.43 inference(NNF_transformation,[status(thm)],[f284])).
% 0.09/0.43 fof(f324,plain,(
% 0.09/0.43 (![W0]: (~sP5_prd(W0)|((![W2]: (~aElement0(W2)|~sdtasdt0(xa,W2)=W0))&~aElementOf0(W0,slsdtgt0(xa)))))&(![W0]: (sP5_prd(W0)|((?[W2]: (aElement0(W2)&sdtasdt0(xa,W2)=W0))|aElementOf0(W0,slsdtgt0(xa)))))),
% 0.09/0.43 inference(miniscoping,[status(thm)],[f323])).
% 0.09/0.43 fof(f325,plain,(
% 0.09/0.43 (![W0]: (~sP5_prd(W0)|((![W2]: (~aElement0(W2)|~sdtasdt0(xa,W2)=W0))&~aElementOf0(W0,slsdtgt0(xa)))))&(![W0]: (sP5_prd(W0)|((aElement0(sK40_skl(W0))&sdtasdt0(xa,sK40_skl(W0))=W0)|aElementOf0(W0,slsdtgt0(xa)))))),
% 0.09/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK40_skl]),skolemize(W2,sK40_skl(W0))],[f324])).
% 0.09/0.43 fof(f327,plain,(
% 0.09/0.43 ![X0]: (~sP5_prd(X0)|~aElementOf0(X0,slsdtgt0(xa)))),
% 0.09/0.43 inference(cnf_transformation,[status(thm)],[f325])).
% 0.09/0.43 fof(f2065,plain,(
% 0.09/0.43 ~sP5_prd(sK36_skl)),
% 0.09/0.43 inference(resolution,[status(thm)],[f270,f327])).
% 0.09/0.43 fof(f2066,plain,(
% 0.09/0.43 ![X0]: (sP5_prd(X0)|~xu=sdtpldt0(X0,sK37_skl))),
% 0.09/0.43 inference(resolution,[status(thm)],[f271,f287])).
% 0.09/0.43 fof(f2423,plain,(
% 0.09/0.43 sP5_prd(sK36_skl)),
% 0.09/0.43 inference(resolution,[status(thm)],[f2066,f272])).
% 0.09/0.43 fof(f2425,plain,(
% 0.09/0.43 $false),
% 0.09/0.43 inference(forward_subsumption_resolution,[status(thm)],[f2423,f2065])).
% 0.09/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.49 % Elapsed time: 0.105799 seconds
% 0.09/0.49 % CPU time: 0.171210 seconds
% 0.09/0.49 % Total memory used: 25.479 MB
% 0.09/0.49 % Net memory used: 25.297 MB
%------------------------------------------------------------------------------