%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT381+3 : 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 : 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 01:03:56 PM UTC 2026
% Result : Theorem 0.08s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT381+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 23:57:05 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.37 fof(f3,axiom,(
% 0.08/0.37 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f8,axiom,(
% 0.08/0.37 (! [W0,W1] :( ( aElement0(W0)& aElement0(W1) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f14,hypothesis,(
% 0.08/0.37 aSet0(xT) ),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f16,hypothesis,(
% 0.08/0.37 ( aElementOf0(xu,xT)& aElementOf0(xu,xT)& (! [W0] :( aElementOf0(W0,xS)=> sdtlseqdt0(W0,xu) ))& aUpperBoundOfIn0(xu,xS,xT)& (! [W0] :( ( ( aElementOf0(W0,xT)& (! [W1] :( aElementOf0(W1,xS)=> sdtlseqdt0(W1,W0) ) ))| aUpperBoundOfIn0(W0,xS,xT) )=> sdtlseqdt0(xu,W0) ))& aSupremumOfIn0(xu,xS,xT)& aElementOf0(xv,xT)& aElementOf0(xv,xT)& (! [W0] :( aElementOf0(W0,xS)=> sdtlseqdt0(W0,xv) ))& aUpperBoundOfIn0(xv,xS,xT)& (! [W0] :( ( ( aElementOf0(W0,xT)& (! [W1] :( aElementOf0(W1,xS)=> sdtlseqdt0(W1,W0) ) ))| aUpperBoundOfIn0(W0,xS,xT) )=> sdtlseqdt0(xv,W0) ))& aSupremumOfIn0(xv,xS,xT) ) ),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f17,conjecture,(
% 0.08/0.37 xu = xv ),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f18,negated_conjecture,(
% 0.08/0.37 ~(xu = xv )),
% 0.08/0.37 inference(negated_conjecture,[status(cth)],[f17])).
% 0.08/0.37 fof(f25,plain,(
% 0.08/0.37 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.08/0.37 fof(f26,plain,(
% 0.08/0.37 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f25])).
% 0.08/0.37 fof(f44,plain,(
% 0.08/0.37 ![W0,W1]: ((~aElement0(W0)|~aElement0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.08/0.37 fof(f45,plain,(
% 0.08/0.37 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f44])).
% 0.08/0.37 fof(f82,plain,(
% 0.08/0.37 aSet0(xT)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f14])).
% 0.08/0.37 fof(f87,plain,(
% 0.08/0.37 ((((((((((aElementOf0(xu,xT)&aElementOf0(xu,xT))&(![W0]: (~aElementOf0(W0,xS)|sdtlseqdt0(W0,xu))))&aUpperBoundOfIn0(xu,xS,xT))&(![W0]: (((~aElementOf0(W0,xT)|(?[W1]: (aElementOf0(W1,xS)&~sdtlseqdt0(W1,W0))))&~aUpperBoundOfIn0(W0,xS,xT))|sdtlseqdt0(xu,W0))))&aSupremumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(![W0]: (~aElementOf0(W0,xS)|sdtlseqdt0(W0,xv))))&aUpperBoundOfIn0(xv,xS,xT))&(![W0]: (((~aElementOf0(W0,xT)|(?[W1]: (aElementOf0(W1,xS)&~sdtlseqdt0(W1,W0))))&~aUpperBoundOfIn0(W0,xS,xT))|sdtlseqdt0(xv,W0))))&aSupremumOfIn0(xv,xS,xT)),
% 0.08/0.37 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.08/0.37 fof(f88,plain,(
% 0.08/0.37 ((((((((((aElementOf0(xu,xT)&aElementOf0(xu,xT))&(![W0]: (~aElementOf0(W0,xS)|sdtlseqdt0(W0,xu))))&aUpperBoundOfIn0(xu,xS,xT))&(![W0]: (((~aElementOf0(W0,xT)|(aElementOf0(sK6_skl(W0),xS)&~sdtlseqdt0(sK6_skl(W0),W0)))&~aUpperBoundOfIn0(W0,xS,xT))|sdtlseqdt0(xu,W0))))&aSupremumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(![W0]: (~aElementOf0(W0,xS)|sdtlseqdt0(W0,xv))))&aUpperBoundOfIn0(xv,xS,xT))&(![W0]: (((~aElementOf0(W0,xT)|(aElementOf0(sK7_skl(W0),xS)&~sdtlseqdt0(sK7_skl(W0),W0)))&~aUpperBoundOfIn0(W0,xS,xT))|sdtlseqdt0(xv,W0))))&aSupremumOfIn0(xv,xS,xT)),
% 0.08/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(W1,sK6_skl(W0)),skolemize(W1,sK7_skl(W0))],[f87])).
% 0.08/0.37 fof(f89,plain,(
% 0.08/0.37 aElementOf0(xu,xT)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f88])).
% 0.08/0.37 fof(f92,plain,(
% 0.08/0.37 aUpperBoundOfIn0(xu,xS,xT)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f88])).
% 0.08/0.37 fof(f95,plain,(
% 0.08/0.37 ![X0]: (~aUpperBoundOfIn0(X0,xS,xT)|sdtlseqdt0(xu,X0))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f88])).
% 0.08/0.37 fof(f97,plain,(
% 0.08/0.37 aElementOf0(xv,xT)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f88])).
% 0.08/0.37 fof(f100,plain,(
% 0.08/0.37 aUpperBoundOfIn0(xv,xS,xT)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f88])).
% 0.08/0.37 fof(f103,plain,(
% 0.08/0.37 ![X0]: (~aUpperBoundOfIn0(X0,xS,xT)|sdtlseqdt0(xv,X0))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f88])).
% 0.12/0.37 fof(f105,plain,(
% 0.12/0.37 ~xu=xv),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f18])).
% 0.12/0.37 fof(f107,plain,(
% 0.12/0.37 ~aSet0(xT)|aElement0(xv)),
% 0.12/0.37 inference(resolution,[status(thm)],[f26,f97])).
% 0.12/0.37 fof(f108,plain,(
% 0.12/0.37 ~aSet0(xT)|aElement0(xu)),
% 0.12/0.37 inference(resolution,[status(thm)],[f26,f89])).
% 0.12/0.37 fof(f109,plain,(
% 0.12/0.37 aElement0(xv)),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f107,f82])).
% 0.12/0.37 fof(f110,plain,(
% 0.12/0.37 aElement0(xu)),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f108,f82])).
% 0.12/0.37 fof(f122,plain,(
% 0.12/0.37 sdtlseqdt0(xu,xv)),
% 0.12/0.37 inference(resolution,[status(thm)],[f100,f95])).
% 0.12/0.37 fof(f124,plain,(
% 0.12/0.37 sdtlseqdt0(xv,xu)),
% 0.12/0.37 inference(resolution,[status(thm)],[f103,f92])).
% 0.12/0.37 fof(f127,plain,(
% 0.12/0.37 ~aElement0(xu)|~aElement0(xv)|~sdtlseqdt0(xu,xv)|xu=xv),
% 0.12/0.37 inference(resolution,[status(thm)],[f45,f124])).
% 0.12/0.37 fof(f131,plain,(
% 0.12/0.37 ~aElement0(xv)|~sdtlseqdt0(xu,xv)|xu=xv),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f127,f110])).
% 0.12/0.37 fof(f147,plain,(
% 0.12/0.37 ~sdtlseqdt0(xu,xv)|xu=xv),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f131,f109])).
% 0.12/0.37 fof(f148,plain,(
% 0.12/0.37 xu=xv),
% 0.12/0.37 inference(resolution,[status(thm)],[f147,f122])).
% 0.12/0.37 fof(f150,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f148,f105])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.036480 seconds
% 0.12/0.40 % CPU time: 0.080678 seconds
% 0.12/0.40 % Total memory used: 12.941 MB
% 0.12/0.40 % Net memory used: 12.931 MB
%------------------------------------------------------------------------------