%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG124+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 : n013.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 02:05:25 PM UTC 2026
% Result : Theorem 0.13s 10.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG124+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n013.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Mon Sep 21 04:21:31 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.39 % Drodi V4.1.1
% 0.13/10.50 % Refutation found
% 0.13/10.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/10.50 % SZS output start CNFRefutation for theBenchmark
% 0.13/10.50 fof(f45,hypothesis,(
% 0.13/10.50 ( (? [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)) ) )) ),
% 0.13/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.50 fof(f50,hypothesis,(
% 0.13/10.50 ( aElement0(xq)& aElement0(xr)& xb = sdtpldt0(sdtasdt0(xq,xu),xr)& ( xr = sz00| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ) ),
% 0.13/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.50 fof(f51,hypothesis,(
% 0.13/10.50 xr != sz00 ),
% 0.13/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.50 fof(f55,hypothesis,(
% 0.13/10.50 ( (? [W0,W1] :( aElementOf0(W0,slsdtgt0(xa))& aElementOf0(W1,slsdtgt0(xb))& sdtpldt0(W0,W1) = xr ))& aElementOf0(xr,xI) ) ),
% 0.13/10.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/10.50 fof(f277,plain,(
% 0.13/10.50 (((?[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))))),
% 0.13/10.50 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.13/10.50 fof(f278,plain,(
% 0.13/10.50 ((((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))))),
% 0.13/10.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK36_skl,sK37_skl]),skolemize(W0,sK36_skl),skolemize(W1,sK37_skl)],[f277])).
% 0.13/10.50 fof(f285,plain,(
% 0.13/10.50 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|~iLess0(sbrdtbr0(X0),sbrdtbr0(xu)))),
% 0.13/10.50 inference(cnf_transformation,[status(thm)],[f278])).
% 0.13/10.50 fof(f306,plain,(
% 0.13/10.50 xr=sz00|iLess0(sbrdtbr0(xr),sbrdtbr0(xu))),
% 0.13/10.50 inference(cnf_transformation,[status(thm)],[f50])).
% 0.13/10.50 fof(f307,plain,(
% 0.13/10.50 ~xr=sz00),
% 0.13/10.50 inference(cnf_transformation,[status(thm)],[f51])).
% 0.13/10.50 fof(f322,plain,(
% 0.13/10.50 ((aElementOf0(sK47_skl,slsdtgt0(xa))&aElementOf0(sK48_skl,slsdtgt0(xb)))&sdtpldt0(sK47_skl,sK48_skl)=xr)&aElementOf0(xr,xI)),
% 0.13/10.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl]),skolemize(W0,sK47_skl),skolemize(W1,sK48_skl)],[f55])).
% 0.13/10.50 fof(f326,plain,(
% 0.13/10.50 aElementOf0(xr,xI)),
% 0.13/10.50 inference(cnf_transformation,[status(thm)],[f322])).
% 0.13/10.50 fof(f1838,plain,(
% 0.13/10.50 iLess0(sbrdtbr0(xr),sbrdtbr0(xu))),
% 0.13/10.50 inference(forward_subsumption_resolution,[status(thm)],[f306,f307])).
% 0.13/10.50 fof(f1839,plain,(
% 0.13/10.50 ~aElementOf0(xr,xI)|xr=sz00),
% 0.13/10.50 inference(resolution,[status(thm)],[f1838,f285])).
% 0.13/10.50 fof(f1840,plain,(
% 0.13/10.50 xr=sz00),
% 0.13/10.50 inference(forward_subsumption_resolution,[status(thm)],[f1839,f326])).
% 0.13/10.50 fof(f1882,plain,(
% 0.13/10.50 $false),
% 0.13/10.50 inference(forward_subsumption_resolution,[status(thm)],[f1840,f307])).
% 0.13/10.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/10.52 % Elapsed time: 0.135353 seconds
% 0.13/10.52 % CPU time: 0.778275 seconds
% 0.13/10.52 % Total memory used: 122.613 MB
% 0.13/10.52 % Net memory used: 121.346 MB
%------------------------------------------------------------------------------