%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT381+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 : 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 0.16s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT381+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
% 0.16/0.43 % Computer : n004.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 20 23:56:34 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.47 fof(f3,axiom,(
% 0.16/0.47 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f8,axiom,(
% 0.16/0.47 (! [W0,W1] :( ( aElement0(W0)& aElement0(W1) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f13,definition,(
% 0.16/0.47 (! [W0] :( aSet0(W0)=> (! [W1] :( aSubsetOf0(W1,W0)=> (! [W2] :( aSupremumOfIn0(W2,W1,W0)<=> ( aElementOf0(W2,W0)& aUpperBoundOfIn0(W2,W1,W0)& (! [W3] :( aUpperBoundOfIn0(W3,W1,W0)=> sdtlseqdt0(W2,W3) ) )) ) )) )) )),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f14,hypothesis,(
% 0.16/0.47 aSet0(xT) ),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f15,hypothesis,(
% 0.16/0.47 aSubsetOf0(xS,xT) ),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f16,hypothesis,(
% 0.16/0.47 ( aSupremumOfIn0(xu,xS,xT)& aSupremumOfIn0(xv,xS,xT) ) ),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f17,conjecture,(
% 0.16/0.47 xu = xv ),
% 0.16/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.47 fof(f18,negated_conjecture,(
% 0.16/0.47 ~(xu = xv )),
% 0.16/0.47 inference(negated_conjecture,[status(cth)],[f17])).
% 0.16/0.47 fof(f25,plain,(
% 0.16/0.47 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.16/0.47 fof(f26,plain,(
% 0.16/0.47 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f25])).
% 0.16/0.47 fof(f44,plain,(
% 0.16/0.47 ![W0,W1]: ((~aElement0(W0)|~aElement0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.16/0.47 fof(f45,plain,(
% 0.16/0.47 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f44])).
% 0.16/0.47 fof(f73,plain,(
% 0.16/0.47 ![W0]: (~aSet0(W0)|(![W1]: (~aSubsetOf0(W1,W0)|(![W2]: (aSupremumOfIn0(W2,W1,W0)<=>((aElementOf0(W2,W0)&aUpperBoundOfIn0(W2,W1,W0))&(![W3]: (~aUpperBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W2,W3)))))))))),
% 0.16/0.47 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.16/0.47 fof(f74,plain,(
% 0.16/0.47 ![W0]: (~aSet0(W0)|(![W1]: (~aSubsetOf0(W1,W0)|(![W2]: ((~aSupremumOfIn0(W2,W1,W0)|((aElementOf0(W2,W0)&aUpperBoundOfIn0(W2,W1,W0))&(![W3]: (~aUpperBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W2,W3)))))&(aSupremumOfIn0(W2,W1,W0)|((~aElementOf0(W2,W0)|~aUpperBoundOfIn0(W2,W1,W0))|(?[W3]: (aUpperBoundOfIn0(W3,W1,W0)&~sdtlseqdt0(W2,W3))))))))))),
% 0.16/0.47 inference(NNF_transformation,[status(thm)],[f73])).
% 0.16/0.47 fof(f75,plain,(
% 0.16/0.47 ![W0]: (~aSet0(W0)|(![W1]: (~aSubsetOf0(W1,W0)|((![W2]: (~aSupremumOfIn0(W2,W1,W0)|((aElementOf0(W2,W0)&aUpperBoundOfIn0(W2,W1,W0))&(![W3]: (~aUpperBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W2,W3))))))&(![W2]: (aSupremumOfIn0(W2,W1,W0)|((~aElementOf0(W2,W0)|~aUpperBoundOfIn0(W2,W1,W0))|(?[W3]: (aUpperBoundOfIn0(W3,W1,W0)&~sdtlseqdt0(W2,W3))))))))))),
% 0.16/0.47 inference(miniscoping,[status(thm)],[f74])).
% 0.16/0.47 fof(f76,plain,(
% 0.16/0.47 ![W0]: (~aSet0(W0)|(![W1]: (~aSubsetOf0(W1,W0)|((![W2]: (~aSupremumOfIn0(W2,W1,W0)|((aElementOf0(W2,W0)&aUpperBoundOfIn0(W2,W1,W0))&(![W3]: (~aUpperBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W2,W3))))))&(![W2]: (aSupremumOfIn0(W2,W1,W0)|((~aElementOf0(W2,W0)|~aUpperBoundOfIn0(W2,W1,W0))|(aUpperBoundOfIn0(sK5_skl(W2,W1,W0),W1,W0)&~sdtlseqdt0(W2,sK5_skl(W2,W1,W0))))))))))),
% 0.16/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(W3,sK5_skl(W2,W1,W0))],[f75])).
% 0.16/0.47 fof(f77,plain,(
% 0.16/0.47 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aSupremumOfIn0(X2,X1,X0)|aElementOf0(X2,X0))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f76])).
% 0.16/0.47 fof(f78,plain,(
% 0.16/0.47 ![X0,X1,X2]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aSupremumOfIn0(X2,X1,X0)|aUpperBoundOfIn0(X2,X1,X0))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f76])).
% 0.16/0.47 fof(f79,plain,(
% 0.16/0.47 ![X0,X1,X2,X3]: (~aSet0(X0)|~aSubsetOf0(X1,X0)|~aSupremumOfIn0(X2,X1,X0)|~aUpperBoundOfIn0(X3,X1,X0)|sdtlseqdt0(X2,X3))),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f76])).
% 0.16/0.47 fof(f82,plain,(
% 0.16/0.47 aSet0(xT)),
% 0.16/0.47 inference(cnf_transformation,[status(thm)],[f14])).
% 0.16/0.48 fof(f83,plain,(
% 0.16/0.48 aSubsetOf0(xS,xT)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f15])).
% 0.16/0.48 fof(f84,plain,(
% 0.16/0.48 aSupremumOfIn0(xu,xS,xT)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f16])).
% 0.16/0.48 fof(f85,plain,(
% 0.16/0.48 aSupremumOfIn0(xv,xS,xT)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f16])).
% 0.16/0.48 fof(f86,plain,(
% 0.16/0.48 ~xu=xv),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f18])).
% 0.16/0.48 fof(f93,plain,(
% 0.16/0.48 ![X0,X1,X2]: (~aSubsetOf0(X0,xT)|~aSupremumOfIn0(X1,X0,xT)|~aUpperBoundOfIn0(X2,X0,xT)|sdtlseqdt0(X1,X2))),
% 0.16/0.48 inference(resolution,[status(thm)],[f82,f79])).
% 0.16/0.48 fof(f94,plain,(
% 0.16/0.48 ![X0,X1]: (~aSubsetOf0(X0,xT)|~aSupremumOfIn0(X1,X0,xT)|aUpperBoundOfIn0(X1,X0,xT))),
% 0.16/0.48 inference(resolution,[status(thm)],[f82,f78])).
% 0.16/0.48 fof(f111,plain,(
% 0.16/0.48 ![X0,X1]: (~aSubsetOf0(X0,xT)|~aSupremumOfIn0(X1,X0,xT)|aElementOf0(X1,xT))),
% 0.16/0.48 inference(resolution,[status(thm)],[f82,f77])).
% 0.16/0.48 fof(f112,plain,(
% 0.16/0.48 ![X0]: (~aElementOf0(X0,xT)|aElement0(X0))),
% 0.16/0.48 inference(resolution,[status(thm)],[f82,f26])).
% 0.16/0.48 fof(f120,plain,(
% 0.16/0.48 ![X0,X1]: (~aSupremumOfIn0(X0,xS,xT)|~aUpperBoundOfIn0(X1,xS,xT)|sdtlseqdt0(X0,X1))),
% 0.16/0.48 inference(resolution,[status(thm)],[f93,f83])).
% 0.16/0.48 fof(f121,plain,(
% 0.16/0.48 ![X0]: (~aSupremumOfIn0(X0,xS,xT)|aUpperBoundOfIn0(X0,xS,xT))),
% 0.16/0.48 inference(resolution,[status(thm)],[f94,f83])).
% 0.16/0.48 fof(f136,plain,(
% 0.16/0.48 ![X0]: (~aSupremumOfIn0(X0,xS,xT)|aElementOf0(X0,xT))),
% 0.16/0.48 inference(resolution,[status(thm)],[f111,f83])).
% 0.16/0.48 fof(f163,plain,(
% 0.16/0.48 aUpperBoundOfIn0(xv,xS,xT)),
% 0.16/0.48 inference(resolution,[status(thm)],[f121,f85])).
% 0.16/0.48 fof(f164,plain,(
% 0.16/0.48 aUpperBoundOfIn0(xu,xS,xT)),
% 0.16/0.48 inference(resolution,[status(thm)],[f121,f84])).
% 0.16/0.48 fof(f173,plain,(
% 0.16/0.48 aElementOf0(xv,xT)),
% 0.16/0.48 inference(resolution,[status(thm)],[f136,f85])).
% 0.16/0.48 fof(f174,plain,(
% 0.16/0.48 aElementOf0(xu,xT)),
% 0.16/0.48 inference(resolution,[status(thm)],[f136,f84])).
% 0.16/0.48 fof(f186,plain,(
% 0.16/0.48 ![X0]: (~aSupremumOfIn0(X0,xS,xT)|sdtlseqdt0(X0,xv))),
% 0.16/0.48 inference(resolution,[status(thm)],[f163,f120])).
% 0.16/0.48 fof(f191,plain,(
% 0.16/0.48 ![X0]: (~aSupremumOfIn0(X0,xS,xT)|sdtlseqdt0(X0,xu))),
% 0.16/0.48 inference(resolution,[status(thm)],[f164,f120])).
% 0.16/0.48 fof(f196,plain,(
% 0.16/0.48 aElement0(xv)),
% 0.16/0.48 inference(resolution,[status(thm)],[f173,f112])).
% 0.16/0.48 fof(f199,plain,(
% 0.16/0.48 aElement0(xu)),
% 0.16/0.48 inference(resolution,[status(thm)],[f174,f112])).
% 0.16/0.48 fof(f201,plain,(
% 0.16/0.48 sdtlseqdt0(xu,xv)),
% 0.16/0.48 inference(resolution,[status(thm)],[f186,f84])).
% 0.16/0.48 fof(f202,plain,(
% 0.16/0.48 sdtlseqdt0(xv,xu)),
% 0.16/0.48 inference(resolution,[status(thm)],[f191,f85])).
% 0.16/0.48 fof(f220,plain,(
% 0.16/0.48 ![X0]: (~aElement0(X0)|~sdtlseqdt0(X0,xu)|~sdtlseqdt0(xu,X0)|X0=xu)),
% 0.16/0.48 inference(resolution,[status(thm)],[f199,f45])).
% 0.16/0.48 fof(f225,plain,(
% 0.16/0.48 ~aElement0(xv)|~sdtlseqdt0(xv,xu)|xv=xu),
% 0.16/0.48 inference(resolution,[status(thm)],[f201,f220])).
% 0.16/0.48 fof(f228,plain,(
% 0.16/0.48 ~sdtlseqdt0(xv,xu)|xv=xu),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f225,f196])).
% 0.16/0.48 fof(f235,plain,(
% 0.16/0.48 xv=xu),
% 0.16/0.48 inference(resolution,[status(thm)],[f228,f202])).
% 0.16/0.48 fof(f236,plain,(
% 0.16/0.48 $false),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f235,f86])).
% 0.16/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.38/0.52 % Elapsed time: 0.069436 seconds
% 0.38/0.52 % CPU time: 0.239414 seconds
% 0.38/0.52 % Total memory used: 82.797 MB
% 0.38/0.52 % Net memory used: 82.527 MB
%------------------------------------------------------------------------------