%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT382+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 : n020.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 0.17s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT382+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
% 0.17/0.44 % Computer : n020.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 20 23:58:02 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.47 % Drodi V4.1.1
% 0.17/0.50 % Refutation found
% 0.17/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.50 fof(f3,axiom,(
% 0.17/0.50 (! [W0] :( aSet0(W0)=> (! [W1] :( aElementOf0(W1,W0)=> aElement0(W1) ) )) )),
% 0.17/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f8,axiom,(
% 0.17/0.50 (! [W0,W1] :( ( aElement0(W0)& aElement0(W1) )=> ( ( sdtlseqdt0(W0,W1)& sdtlseqdt0(W1,W0) )=> W0 = W1 ) ) )),
% 0.17/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f15,hypothesis,(
% 0.17/0.50 aSet0(xT) ),
% 0.17/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f17,hypothesis,(
% 0.17/0.50 ( aElementOf0(xu,xT)& aElementOf0(xu,xT)& (! [W0] :( aElementOf0(W0,xS)=> sdtlseqdt0(xu,W0) ))& aLowerBoundOfIn0(xu,xS,xT)& (! [W0] :( ( ( aElementOf0(W0,xT)& (! [W1] :( aElementOf0(W1,xS)=> sdtlseqdt0(W0,W1) ) ))| aLowerBoundOfIn0(W0,xS,xT) )=> sdtlseqdt0(W0,xu) ))& aInfimumOfIn0(xu,xS,xT)& aElementOf0(xv,xT)& aElementOf0(xv,xT)& (! [W0] :( aElementOf0(W0,xS)=> sdtlseqdt0(xv,W0) ))& aLowerBoundOfIn0(xv,xS,xT)& (! [W0] :( ( ( aElementOf0(W0,xT)& (! [W1] :( aElementOf0(W1,xS)=> sdtlseqdt0(W0,W1) ) ))| aLowerBoundOfIn0(W0,xS,xT) )=> sdtlseqdt0(W0,xv) ))& aInfimumOfIn0(xv,xS,xT) ) ),
% 0.17/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f18,conjecture,(
% 0.17/0.50 xu = xv ),
% 0.17/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f19,negated_conjecture,(
% 0.17/0.50 ~(xu = xv )),
% 0.17/0.50 inference(negated_conjecture,[status(cth)],[f18])).
% 0.17/0.50 fof(f26,plain,(
% 0.17/0.50 ![W0]: (~aSet0(W0)|(![W1]: (~aElementOf0(W1,W0)|aElement0(W1))))),
% 0.17/0.50 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.17/0.50 fof(f27,plain,(
% 0.17/0.50 ![X0,X1]: (~aSet0(X0)|~aElementOf0(X1,X0)|aElement0(X1))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f26])).
% 0.17/0.50 fof(f45,plain,(
% 0.17/0.50 ![W0,W1]: ((~aElement0(W0)|~aElement0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1))),
% 0.17/0.50 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.17/0.50 fof(f46,plain,(
% 0.17/0.50 ![X0,X1]: (~aElement0(X0)|~aElement0(X1)|~sdtlseqdt0(X0,X1)|~sdtlseqdt0(X1,X0)|X0=X1)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f45])).
% 0.17/0.50 fof(f85,plain,(
% 0.17/0.50 aSet0(xT)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f15])).
% 0.17/0.50 fof(f90,plain,(
% 0.17/0.50 ((((((((((aElementOf0(xu,xT)&aElementOf0(xu,xT))&(![W0]: (~aElementOf0(W0,xS)|sdtlseqdt0(xu,W0))))&aLowerBoundOfIn0(xu,xS,xT))&(![W0]: (((~aElementOf0(W0,xT)|(?[W1]: (aElementOf0(W1,xS)&~sdtlseqdt0(W0,W1))))&~aLowerBoundOfIn0(W0,xS,xT))|sdtlseqdt0(W0,xu))))&aInfimumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(![W0]: (~aElementOf0(W0,xS)|sdtlseqdt0(xv,W0))))&aLowerBoundOfIn0(xv,xS,xT))&(![W0]: (((~aElementOf0(W0,xT)|(?[W1]: (aElementOf0(W1,xS)&~sdtlseqdt0(W0,W1))))&~aLowerBoundOfIn0(W0,xS,xT))|sdtlseqdt0(W0,xv))))&aInfimumOfIn0(xv,xS,xT)),
% 0.17/0.50 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.17/0.50 fof(f91,plain,(
% 0.17/0.50 ((((((((((aElementOf0(xu,xT)&aElementOf0(xu,xT))&(![W0]: (~aElementOf0(W0,xS)|sdtlseqdt0(xu,W0))))&aLowerBoundOfIn0(xu,xS,xT))&(![W0]: (((~aElementOf0(W0,xT)|(aElementOf0(sK6_skl(W0),xS)&~sdtlseqdt0(W0,sK6_skl(W0))))&~aLowerBoundOfIn0(W0,xS,xT))|sdtlseqdt0(W0,xu))))&aInfimumOfIn0(xu,xS,xT))&aElementOf0(xv,xT))&aElementOf0(xv,xT))&(![W0]: (~aElementOf0(W0,xS)|sdtlseqdt0(xv,W0))))&aLowerBoundOfIn0(xv,xS,xT))&(![W0]: (((~aElementOf0(W0,xT)|(aElementOf0(sK7_skl(W0),xS)&~sdtlseqdt0(W0,sK7_skl(W0))))&~aLowerBoundOfIn0(W0,xS,xT))|sdtlseqdt0(W0,xv))))&aInfimumOfIn0(xv,xS,xT)),
% 0.17/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(W1,sK6_skl(W0)),skolemize(W1,sK7_skl(W0))],[f90])).
% 0.17/0.50 fof(f92,plain,(
% 0.17/0.50 aElementOf0(xu,xT)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f91])).
% 0.17/0.50 fof(f95,plain,(
% 0.17/0.50 aLowerBoundOfIn0(xu,xS,xT)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f91])).
% 0.17/0.50 fof(f98,plain,(
% 0.17/0.50 ![X0]: (~aLowerBoundOfIn0(X0,xS,xT)|sdtlseqdt0(X0,xu))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f91])).
% 0.17/0.50 fof(f100,plain,(
% 0.17/0.50 aElementOf0(xv,xT)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f91])).
% 0.17/0.50 fof(f103,plain,(
% 0.17/0.50 aLowerBoundOfIn0(xv,xS,xT)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f91])).
% 0.17/0.50 fof(f106,plain,(
% 0.17/0.50 ![X0]: (~aLowerBoundOfIn0(X0,xS,xT)|sdtlseqdt0(X0,xv))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f91])).
% 0.17/0.50 fof(f108,plain,(
% 0.17/0.50 ~xu=xv),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f19])).
% 0.17/0.50 fof(f110,plain,(
% 0.17/0.50 ~aSet0(xT)|aElement0(xv)),
% 0.17/0.50 inference(resolution,[status(thm)],[f27,f100])).
% 0.17/0.50 fof(f111,plain,(
% 0.17/0.50 ~aSet0(xT)|aElement0(xu)),
% 0.17/0.50 inference(resolution,[status(thm)],[f27,f92])).
% 0.17/0.50 fof(f112,plain,(
% 0.17/0.50 aElement0(xv)),
% 0.17/0.50 inference(forward_subsumption_resolution,[status(thm)],[f110,f85])).
% 0.17/0.50 fof(f113,plain,(
% 0.17/0.50 aElement0(xu)),
% 0.17/0.50 inference(forward_subsumption_resolution,[status(thm)],[f111,f85])).
% 0.17/0.50 fof(f125,plain,(
% 0.17/0.50 sdtlseqdt0(xv,xu)),
% 0.17/0.50 inference(resolution,[status(thm)],[f103,f98])).
% 0.17/0.50 fof(f127,plain,(
% 0.17/0.50 sdtlseqdt0(xu,xv)),
% 0.17/0.50 inference(resolution,[status(thm)],[f106,f95])).
% 0.17/0.50 fof(f131,plain,(
% 0.17/0.50 ~aElement0(xu)|~aElement0(xv)|~sdtlseqdt0(xu,xv)|xu=xv),
% 0.17/0.50 inference(resolution,[status(thm)],[f46,f125])).
% 0.17/0.50 fof(f134,plain,(
% 0.17/0.50 ~aElement0(xv)|~sdtlseqdt0(xu,xv)|xu=xv),
% 0.17/0.50 inference(forward_subsumption_resolution,[status(thm)],[f131,f113])).
% 0.17/0.50 fof(f154,plain,(
% 0.17/0.50 ~sdtlseqdt0(xu,xv)|xu=xv),
% 0.17/0.50 inference(forward_subsumption_resolution,[status(thm)],[f134,f112])).
% 0.17/0.50 fof(f155,plain,(
% 0.17/0.50 xu=xv),
% 0.17/0.50 inference(resolution,[status(thm)],[f154,f127])).
% 0.17/0.50 fof(f157,plain,(
% 0.17/0.50 $false),
% 0.17/0.50 inference(forward_subsumption_resolution,[status(thm)],[f155,f108])).
% 0.17/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.53 % Elapsed time: 0.070268 seconds
% 0.17/0.53 % CPU time: 0.124464 seconds
% 0.17/0.53 % Total memory used: 18.233 MB
% 0.17/0.53 % Net memory used: 18.220 MB
%------------------------------------------------------------------------------