%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM609+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 : n014.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 01:43:20 PM UTC 2026
% Result : Theorem 0.14s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM609+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 02:44:19 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f104,hypothesis,(
% 0.14/0.41 ( aSet0(xP)& (! [W0] :( aElementOf0(W0,xQ)=> sdtlseqdt0(szmzizndt0(xQ),W0) ))& (! [W0] :( aElementOf0(W0,xP)<=> ( aElement0(W0)& aElementOf0(W0,xQ)& W0 != szmzizndt0(xQ) ) ))& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f107,conjecture,(
% 0.14/0.41 ( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xQ) ))| aSubsetOf0(xP,xQ) ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f108,negated_conjecture,(
% 0.14/0.41 ~(( (! [W0] :( aElementOf0(W0,xP)=> aElementOf0(W0,xQ) ))| aSubsetOf0(xP,xQ) ) )),
% 0.14/0.41 inference(negated_conjecture,[status(cth)],[f107])).
% 0.14/0.41 fof(f620,plain,(
% 0.14/0.41 ((aSet0(xP)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(szmzizndt0(xQ),W0))))&(![W0]: (aElementOf0(W0,xP)<=>((aElement0(W0)&aElementOf0(W0,xQ))&~W0=szmzizndt0(xQ)))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f104])).
% 0.14/0.41 fof(f621,plain,(
% 0.14/0.41 ((aSet0(xP)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(szmzizndt0(xQ),W0))))&(![W0]: ((~aElementOf0(W0,xP)|((aElement0(W0)&aElementOf0(W0,xQ))&~W0=szmzizndt0(xQ)))&(aElementOf0(W0,xP)|((~aElement0(W0)|~aElementOf0(W0,xQ))|W0=szmzizndt0(xQ))))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),
% 0.14/0.41 inference(NNF_transformation,[status(thm)],[f620])).
% 0.14/0.41 fof(f622,plain,(
% 0.14/0.41 ((aSet0(xP)&(![W0]: (~aElementOf0(W0,xQ)|sdtlseqdt0(szmzizndt0(xQ),W0))))&((![W0]: (~aElementOf0(W0,xP)|((aElement0(W0)&aElementOf0(W0,xQ))&~W0=szmzizndt0(xQ))))&(![W0]: (aElementOf0(W0,xP)|((~aElement0(W0)|~aElementOf0(W0,xQ))|W0=szmzizndt0(xQ))))))&xP=sdtmndt0(xQ,szmzizndt0(xQ))),
% 0.14/0.41 inference(miniscoping,[status(thm)],[f621])).
% 0.14/0.41 fof(f626,plain,(
% 0.14/0.41 ![X0]: (~aElementOf0(X0,xP)|aElementOf0(X0,xQ))),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f622])).
% 0.14/0.41 fof(f634,plain,(
% 0.14/0.41 ((?[W0]: (aElementOf0(W0,xP)&~aElementOf0(W0,xQ)))&~aSubsetOf0(xP,xQ))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(thm)],[f108])).
% 0.14/0.41 fof(f635,plain,(
% 0.14/0.41 (aElementOf0(sK38_skl,xP)&~aElementOf0(sK38_skl,xQ))&~aSubsetOf0(xP,xQ)),
% 0.14/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK38_skl]),skolemize(W0,sK38_skl)],[f634])).
% 0.14/0.41 fof(f636,plain,(
% 0.14/0.41 aElementOf0(sK38_skl,xP)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f635])).
% 0.14/0.41 fof(f637,plain,(
% 0.14/0.41 ~aElementOf0(sK38_skl,xQ)),
% 0.14/0.41 inference(cnf_transformation,[status(thm)],[f635])).
% 0.14/0.41 fof(f928,plain,(
% 0.14/0.41 aElementOf0(sK38_skl,xQ)),
% 0.14/0.41 inference(resolution,[status(thm)],[f626,f636])).
% 0.14/0.41 fof(f931,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f928,f637])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.075576 seconds
% 0.14/0.43 % CPU time: 0.198853 seconds
% 0.14/0.43 % Total memory used: 126.003 MB
% 0.14/0.43 % Net memory used: 125.617 MB
%------------------------------------------------------------------------------