%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM533+2 : 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 : 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 01:43:08 PM UTC 2026
% Result : Theorem 0.20s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM533+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44 % Computer : n014.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.44 % CPULimit : 300
% 0.20/0.44 % WCLimit : 300
% 0.20/0.44 % DateTime : Mon Sep 21 02:38:19 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.47 % Drodi V4.1.1
% 0.20/0.49 % Refutation found
% 0.20/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.49 fof(f15,conjecture,(
% 0.20/0.49 ( ( (! [W0] :( aElementOf0(W0,xA)=> aElementOf0(W0,xB) ))& aSubsetOf0(xA,xB)& (! [W0] :( aElementOf0(W0,xB)=> aElementOf0(W0,xC) ))& aSubsetOf0(xB,xC) )=> ( (! [W0] :( aElementOf0(W0,xA)=> aElementOf0(W0,xC) ))| aSubsetOf0(xA,xC) ) ) ),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f16,negated_conjecture,(
% 0.20/0.49 ~(( ( (! [W0] :( aElementOf0(W0,xA)=> aElementOf0(W0,xB) ))& aSubsetOf0(xA,xB)& (! [W0] :( aElementOf0(W0,xB)=> aElementOf0(W0,xC) ))& aSubsetOf0(xB,xC) )=> ( (! [W0] :( aElementOf0(W0,xA)=> aElementOf0(W0,xC) ))| aSubsetOf0(xA,xC) ) ) )),
% 0.20/0.49 inference(negated_conjecture,[status(cth)],[f15])).
% 0.20/0.49 fof(f58,plain,(
% 0.20/0.49 (((((![W0]: (~aElementOf0(W0,xA)|aElementOf0(W0,xB)))&aSubsetOf0(xA,xB))&(![W0]: (~aElementOf0(W0,xB)|aElementOf0(W0,xC))))&aSubsetOf0(xB,xC))&((?[W0]: (aElementOf0(W0,xA)&~aElementOf0(W0,xC)))&~aSubsetOf0(xA,xC)))),
% 0.20/0.49 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.20/0.49 fof(f59,plain,(
% 0.20/0.49 ((((![W0]: (~aElementOf0(W0,xA)|aElementOf0(W0,xB)))&aSubsetOf0(xA,xB))&(![W0]: (~aElementOf0(W0,xB)|aElementOf0(W0,xC))))&aSubsetOf0(xB,xC))&((aElementOf0(sK2_skl,xA)&~aElementOf0(sK2_skl,xC))&~aSubsetOf0(xA,xC))),
% 0.20/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(W0,sK2_skl)],[f58])).
% 0.20/0.49 fof(f60,plain,(
% 0.20/0.49 ![X0]: (~aElementOf0(X0,xA)|aElementOf0(X0,xB))),
% 0.20/0.49 inference(cnf_transformation,[status(thm)],[f59])).
% 0.20/0.49 fof(f62,plain,(
% 0.20/0.49 ![X0]: (~aElementOf0(X0,xB)|aElementOf0(X0,xC))),
% 0.20/0.49 inference(cnf_transformation,[status(thm)],[f59])).
% 0.20/0.49 fof(f64,plain,(
% 0.20/0.49 aElementOf0(sK2_skl,xA)),
% 0.20/0.49 inference(cnf_transformation,[status(thm)],[f59])).
% 0.20/0.49 fof(f65,plain,(
% 0.20/0.49 ~aElementOf0(sK2_skl,xC)),
% 0.20/0.49 inference(cnf_transformation,[status(thm)],[f59])).
% 0.20/0.49 fof(f94,plain,(
% 0.20/0.49 aElementOf0(sK2_skl,xB)),
% 0.20/0.49 inference(resolution,[status(thm)],[f64,f60])).
% 0.20/0.49 fof(f109,plain,(
% 0.20/0.49 aElementOf0(sK2_skl,xC)),
% 0.20/0.49 inference(resolution,[status(thm)],[f94,f62])).
% 0.20/0.49 fof(f111,plain,(
% 0.20/0.49 $false),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f109,f65])).
% 0.20/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.56 % Elapsed time: 0.109882 seconds
% 0.20/0.56 % CPU time: 0.112114 seconds
% 0.20/0.56 % Total memory used: 7.579 MB
% 0.20/0.56 % Net memory used: 7.574 MB
%------------------------------------------------------------------------------