%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT381+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 01:03:03 PM UTC 2026
% Result : Theorem 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 122 ( 10 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 131 ( 40 ~; 36 |; 45 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 30 ( 28 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [W0,W1] :
( ( aElement0(W1)
& aElement0(W0) )
=> ( ( sdtlseqdt0(W1,W0)
& sdtlseqdt0(W0,W1) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
aSet0(xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
( aSupremumOfIn0(xv,xS,xT)
& ! [W0] :
( ( aUpperBoundOfIn0(W0,xS,xT)
| ( ! [W1] :
( aElementOf0(W1,xS)
=> sdtlseqdt0(W1,W0) )
& aElementOf0(W0,xT) ) )
=> sdtlseqdt0(xv,W0) )
& aUpperBoundOfIn0(xv,xS,xT)
& ! [W0] :
( aElementOf0(W0,xS)
=> sdtlseqdt0(W0,xv) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aSupremumOfIn0(xu,xS,xT)
& ! [W0] :
( ( aUpperBoundOfIn0(W0,xS,xT)
| ( ! [W1] :
( aElementOf0(W1,xS)
=> sdtlseqdt0(W1,W0) )
& aElementOf0(W0,xT) ) )
=> sdtlseqdt0(xu,W0) )
& aUpperBoundOfIn0(xu,xS,xT)
& ! [W0] :
( aElementOf0(W0,xS)
=> sdtlseqdt0(W0,xu) )
& aElementOf0(xu,xT)
& aElementOf0(xu,xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
xu = xv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
xu != xv,
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f25,plain,
! [W0] :
( ! [W1] :
( aElement0(W1)
| ~ aElementOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f26,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f44,plain,
! [W0,W1] :
( W0 = W1
| ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1)
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f45,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f82,plain,
aSet0(xT),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f87,plain,
( aSupremumOfIn0(xv,xS,xT)
& ! [W0] :
( sdtlseqdt0(xv,W0)
| ( ~ aUpperBoundOfIn0(W0,xS,xT)
& ( ? [W1] :
( ~ sdtlseqdt0(W1,W0)
& aElementOf0(W1,xS) )
| ~ aElementOf0(W0,xT) ) ) )
& aUpperBoundOfIn0(xv,xS,xT)
& ! [W0] :
( sdtlseqdt0(W0,xv)
| ~ aElementOf0(W0,xS) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aSupremumOfIn0(xu,xS,xT)
& ! [W0] :
( sdtlseqdt0(xu,W0)
| ( ~ aUpperBoundOfIn0(W0,xS,xT)
& ( ? [W1] :
( ~ sdtlseqdt0(W1,W0)
& aElementOf0(W1,xS) )
| ~ aElementOf0(W0,xT) ) ) )
& aUpperBoundOfIn0(xu,xS,xT)
& ! [W0] :
( sdtlseqdt0(W0,xu)
| ~ aElementOf0(W0,xS) )
& aElementOf0(xu,xT)
& aElementOf0(xu,xT) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f88,plain,
( aSupremumOfIn0(xv,xS,xT)
& ! [W0] :
( sdtlseqdt0(xv,W0)
| ( ~ aUpperBoundOfIn0(W0,xS,xT)
& ( ( ~ sdtlseqdt0(sK7_skl(W0),W0)
& aElementOf0(sK7_skl(W0),xS) )
| ~ aElementOf0(W0,xT) ) ) )
& aUpperBoundOfIn0(xv,xS,xT)
& ! [W0] :
( sdtlseqdt0(W0,xv)
| ~ aElementOf0(W0,xS) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aSupremumOfIn0(xu,xS,xT)
& ! [W0] :
( sdtlseqdt0(xu,W0)
| ( ~ aUpperBoundOfIn0(W0,xS,xT)
& ( ( ~ sdtlseqdt0(sK6_skl(W0),W0)
& aElementOf0(sK6_skl(W0),xS) )
| ~ aElementOf0(W0,xT) ) ) )
& aUpperBoundOfIn0(xu,xS,xT)
& ! [W0] :
( sdtlseqdt0(W0,xu)
| ~ aElementOf0(W0,xS) )
& aElementOf0(xu,xT)
& aElementOf0(xu,xT) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(W1,sK6_skl(W0)),skolemize(W1,sK7_skl(W0))],[f87]) ).
fof(f89,plain,
aElementOf0(xu,xT),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f92,plain,
aUpperBoundOfIn0(xu,xS,xT),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f95,plain,
! [X0] :
( sdtlseqdt0(xu,X0)
| ~ aUpperBoundOfIn0(X0,xS,xT) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f97,plain,
aElementOf0(xv,xT),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f100,plain,
aUpperBoundOfIn0(xv,xS,xT),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f103,plain,
! [X0] :
( sdtlseqdt0(xv,X0)
| ~ aUpperBoundOfIn0(X0,xS,xT) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f105,plain,
xu != xv,
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f107,plain,
( aElement0(xv)
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[f26,f97]) ).
fof(f108,plain,
( aElement0(xu)
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[f26,f89]) ).
fof(f109,plain,
aElement0(xv),
inference(forward_subsumption_resolution,[status(thm)],[f107,f82]) ).
fof(f110,plain,
aElement0(xu),
inference(forward_subsumption_resolution,[status(thm)],[f108,f82]) ).
fof(f122,plain,
sdtlseqdt0(xu,xv),
inference(resolution,[status(thm)],[f100,f95]) ).
fof(f124,plain,
sdtlseqdt0(xv,xu),
inference(resolution,[status(thm)],[f103,f92]) ).
fof(f127,plain,
( xu = xv
| ~ sdtlseqdt0(xu,xv)
| ~ aElement0(xv)
| ~ aElement0(xu) ),
inference(resolution,[status(thm)],[f45,f124]) ).
fof(f131,plain,
( xu = xv
| ~ sdtlseqdt0(xu,xv)
| ~ aElement0(xv) ),
inference(forward_subsumption_resolution,[status(thm)],[f127,f110]) ).
fof(f141,plain,
( xu = xv
| ~ sdtlseqdt0(xu,xv) ),
inference(forward_subsumption_resolution,[status(thm)],[f131,f109]) ).
fof(f142,plain,
xu = xv,
inference(resolution,[status(thm)],[f141,f122]) ).
fof(f143,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f142,f105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT381+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n004.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 23:57:05 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.42 % Elapsed time: 0.051065 seconds
% 0.08/0.42 % CPU time: 0.146201 seconds
% 0.08/0.42 % Total memory used: 82.355 MB
% 0.08/0.42 % Net memory used: 82.233 MB
%------------------------------------------------------------------------------