%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM625+3 : 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 : n004.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 01:43:23 PM UTC 2026
% Result : Theorem 0.16s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM625+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n004.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 02:45:50 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.48 % Drodi V4.1.1
% 0.16/0.51 % Refutation found
% 0.16/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.51 fof(f103,hypothesis,(
% 0.16/0.51 ( aElementOf0(xp,xQ)& (! [W0] :( aElementOf0(W0,xQ)=> sdtlseqdt0(xp,W0) ))& xp = szmzizndt0(xQ) ) ),
% 0.16/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f113,hypothesis,(
% 0.16/0.51 ( aElement0(xx)& aElementOf0(xx,xQ)& xx != szmzizndt0(xQ)& aElementOf0(xx,xP) ) ),
% 0.16/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f120,hypothesis,(
% 0.16/0.51 xp = xx ),
% 0.16/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.51 fof(f630,plain,(
% 0.16/0.51 (aElementOf0(xp,xQ)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(xp,W0))))&xp=szmzizndt0(xQ)),
% 0.16/0.51 inference(pre_NNF_transformation,[status(thm)],[f103])).
% 0.16/0.51 fof(f633,plain,(
% 0.16/0.51 xp=szmzizndt0(xQ)),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f630])).
% 0.16/0.51 fof(f664,plain,(
% 0.16/0.51 ~xx=szmzizndt0(xQ)),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f113])).
% 0.16/0.51 fof(f684,plain,(
% 0.16/0.51 xp=xx),
% 0.16/0.51 inference(cnf_transformation,[status(thm)],[f120])).
% 0.16/0.51 fof(f1332,plain,(
% 0.16/0.51 xx=szmzizndt0(xQ)),
% 0.16/0.51 inference(forward_demodulation,[status(thm)],[f684,f633])).
% 0.16/0.51 fof(f1378,plain,(
% 0.16/0.51 ~xx=xx),
% 0.16/0.51 inference(forward_demodulation,[status(thm)],[f1332,f664])).
% 0.16/0.51 fof(f1379,plain,(
% 0.16/0.51 $false),
% 0.16/0.51 inference(trivial_equality_resolution,[status(thm)],[f1378])).
% 0.16/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.57 % Elapsed time: 0.127032 seconds
% 0.23/0.57 % CPU time: 0.174584 seconds
% 0.23/0.57 % Total memory used: 36.078 MB
% 0.23/0.57 % Net memory used: 35.960 MB
%------------------------------------------------------------------------------