%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : RNG124+1 : 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 : n017.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 0.19s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG124+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.46 % Computer : n017.cluster.edu
% 0.17/0.46 % Model : x86_64 x86_64
% 0.17/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.46 % Memory : 8046.5625MB
% 0.17/0.46 % OS : Linux 6.8.0-71-generic
% 0.17/0.46 % CPULimit : 300
% 0.17/0.46 % WCLimit : 300
% 0.17/0.46 % DateTime : Mon Sep 21 04:17:12 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.17/0.48 % Drodi V4.1.1
% 0.19/0.57 % Refutation found
% 0.19/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.57 fof(f45,hypothesis,(
% 0.19/0.57 ( aElementOf0(xu,xI)& xu != sz00& (! [W0] :( ( aElementOf0(W0,xI)& W0 != sz00 )=> ~ iLess0(sbrdtbr0(W0),sbrdtbr0(xu)) ) )) ),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f50,hypothesis,(
% 0.19/0.57 ( aElement0(xq)& aElement0(xr)& xb = sdtpldt0(sdtasdt0(xq,xu),xr)& ( xr = sz00| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ) ),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f51,hypothesis,(
% 0.19/0.57 xr != sz00 ),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f55,hypothesis,(
% 0.19/0.57 aElementOf0(xr,xI) ),
% 0.19/0.57 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.57 fof(f223,plain,(
% 0.19/0.57 (aElementOf0(xu,xI)&~xu=sz00)&(![W0]: ((~aElementOf0(W0,xI)|W0=sz00)|~iLess0(sbrdtbr0(W0),sbrdtbr0(xu))))),
% 0.19/0.57 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.19/0.57 fof(f226,plain,(
% 0.19/0.57 ![X0]: (~aElementOf0(X0,xI)|X0=sz00|~iLess0(sbrdtbr0(X0),sbrdtbr0(xu)))),
% 0.19/0.57 inference(cnf_transformation,[status(thm)],[f223])).
% 0.19/0.57 fof(f238,plain,(
% 0.19/0.57 xr=sz00|iLess0(sbrdtbr0(xr),sbrdtbr0(xu))),
% 0.19/0.57 inference(cnf_transformation,[status(thm)],[f50])).
% 0.19/0.57 fof(f239,plain,(
% 0.19/0.57 ~xr=sz00),
% 0.19/0.57 inference(cnf_transformation,[status(thm)],[f51])).
% 0.19/0.57 fof(f243,plain,(
% 0.19/0.57 aElementOf0(xr,xI)),
% 0.19/0.57 inference(cnf_transformation,[status(thm)],[f55])).
% 0.19/0.57 fof(f895,plain,(
% 0.19/0.57 iLess0(sbrdtbr0(xr),sbrdtbr0(xu))),
% 0.19/0.57 inference(forward_subsumption_resolution,[status(thm)],[f238,f239])).
% 0.19/0.57 fof(f896,plain,(
% 0.19/0.57 ~aElementOf0(xr,xI)|xr=sz00),
% 0.19/0.57 inference(resolution,[status(thm)],[f895,f226])).
% 0.19/0.57 fof(f897,plain,(
% 0.19/0.57 xr=sz00),
% 0.19/0.57 inference(forward_subsumption_resolution,[status(thm)],[f896,f243])).
% 0.19/0.57 fof(f899,plain,(
% 0.19/0.57 $false),
% 0.19/0.57 inference(forward_subsumption_resolution,[status(thm)],[f897,f239])).
% 0.19/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.63 % Elapsed time: 0.153282 seconds
% 0.19/0.63 % CPU time: 0.557335 seconds
% 0.19/0.63 % Total memory used: 75.516 MB
% 0.19/0.63 % Net memory used: 75.091 MB
%------------------------------------------------------------------------------