%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT388+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 01:03:05 PM UTC 2026
% Result : Theorem 0.08s 0.40s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 1 def)
% Number of atoms : 101 ( 3 equ)
% Maximal formula atoms : 12 ( 7 avg)
% Number of connectives : 120 ( 32 ~; 25 |; 53 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 25 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,hypothesis,
( aSupremumOfIn0(xp,xT,xS)
& ! [W0] :
( ( aUpperBoundOfIn0(W0,xT,xS)
| ( ! [W1] :
( aElementOf0(W1,xT)
=> sdtlseqdt0(W1,W0) )
& aElementOf0(W0,xS) ) )
=> sdtlseqdt0(xp,W0) )
& aUpperBoundOfIn0(xp,xT,xS)
& ! [W0] :
( aElementOf0(W0,xT)
=> sdtlseqdt0(W0,xp) )
& aFixedPointOf0(xp,xf)
& sdtlpdtrp0(xf,xp) = xp
& aElementOf0(xp,szDzozmdt0(xf)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,conjecture,
? [W0] :
( aSupremumOfIn0(W0,xT,xS)
| ( ! [W1] :
( ( aUpperBoundOfIn0(W1,xT,xS)
& ! [W2] :
( aElementOf0(W2,xT)
=> sdtlseqdt0(W2,W1) )
& aElementOf0(W1,xS) )
=> sdtlseqdt0(W0,W1) )
& ( aUpperBoundOfIn0(W0,xT,xS)
| ( ! [W1] :
( aElementOf0(W1,xT)
=> sdtlseqdt0(W1,W0) )
& aElementOf0(W0,xS) ) )
& aElementOf0(W0,xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
~ ? [W0] :
( aSupremumOfIn0(W0,xT,xS)
| ( ! [W1] :
( ( aUpperBoundOfIn0(W1,xT,xS)
& ! [W2] :
( aElementOf0(W2,xT)
=> sdtlseqdt0(W2,W1) )
& aElementOf0(W1,xS) )
=> sdtlseqdt0(W0,W1) )
& ( aUpperBoundOfIn0(W0,xT,xS)
| ( ! [W1] :
( aElementOf0(W1,xT)
=> sdtlseqdt0(W1,W0) )
& aElementOf0(W0,xS) ) )
& aElementOf0(W0,xS) ) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f206,plain,
( aSupremumOfIn0(xp,xT,xS)
& ! [W0] :
( sdtlseqdt0(xp,W0)
| ( ~ aUpperBoundOfIn0(W0,xT,xS)
& ( ? [W1] :
( ~ sdtlseqdt0(W1,W0)
& aElementOf0(W1,xT) )
| ~ aElementOf0(W0,xS) ) ) )
& aUpperBoundOfIn0(xp,xT,xS)
& ! [W0] :
( sdtlseqdt0(W0,xp)
| ~ aElementOf0(W0,xT) )
& aFixedPointOf0(xp,xf)
& sdtlpdtrp0(xf,xp) = xp
& aElementOf0(xp,szDzozmdt0(xf)) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f207,plain,
( aSupremumOfIn0(xp,xT,xS)
& ! [W0] :
( sdtlseqdt0(xp,W0)
| ( ~ aUpperBoundOfIn0(W0,xT,xS)
& ( ( ~ sdtlseqdt0(sK17_skl(W0),W0)
& aElementOf0(sK17_skl(W0),xT) )
| ~ aElementOf0(W0,xS) ) ) )
& aUpperBoundOfIn0(xp,xT,xS)
& ! [W0] :
( sdtlseqdt0(W0,xp)
| ~ aElementOf0(W0,xT) )
& aFixedPointOf0(xp,xf)
& sdtlpdtrp0(xf,xp) = xp
& aElementOf0(xp,szDzozmdt0(xf)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl]),skolemize(W1,sK17_skl(W0))],[f206]) ).
fof(f216,plain,
aSupremumOfIn0(xp,xT,xS),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f217,plain,
! [W0] :
( ~ aSupremumOfIn0(W0,xT,xS)
& ( ? [W1] :
( ~ sdtlseqdt0(W0,W1)
& aUpperBoundOfIn0(W1,xT,xS)
& ! [W2] :
( sdtlseqdt0(W2,W1)
| ~ aElementOf0(W2,xT) )
& aElementOf0(W1,xS) )
| ( ~ aUpperBoundOfIn0(W0,xT,xS)
& ( ? [W1] :
( ~ sdtlseqdt0(W1,W0)
& aElementOf0(W1,xT) )
| ~ aElementOf0(W0,xS) ) )
| ~ aElementOf0(W0,xS) ) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f218,definition,
! [W0] :
( sP1_prd(W0)
<=> ( ~ aUpperBoundOfIn0(W0,xT,xS)
& ( ? [W1] :
( ~ sdtlseqdt0(W1,W0)
& aElementOf0(W1,xT) )
| ~ aElementOf0(W0,xS) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f219,plain,
! [W0] :
( ~ aSupremumOfIn0(W0,xT,xS)
& ( ? [W1] :
( ~ sdtlseqdt0(W0,W1)
& aUpperBoundOfIn0(W1,xT,xS)
& ! [W2] :
( sdtlseqdt0(W2,W1)
| ~ aElementOf0(W2,xT) )
& aElementOf0(W1,xS) )
| sP1_prd(W0)
| ~ aElementOf0(W0,xS) ) ),
inference(formula_renaming,[status(thm)],[f217,f218]) ).
fof(f220,plain,
( ! [W0] : ~ aSupremumOfIn0(W0,xT,xS)
& ! [W0] :
( ? [W1] :
( ~ sdtlseqdt0(W0,W1)
& aUpperBoundOfIn0(W1,xT,xS)
& ! [W2] :
( sdtlseqdt0(W2,W1)
| ~ aElementOf0(W2,xT) )
& aElementOf0(W1,xS) )
| sP1_prd(W0)
| ~ aElementOf0(W0,xS) ) ),
inference(miniscoping,[status(thm)],[f219]) ).
fof(f221,plain,
( ! [W0] : ~ aSupremumOfIn0(W0,xT,xS)
& ! [W0] :
( ( ~ sdtlseqdt0(W0,sK18_skl(W0))
& aUpperBoundOfIn0(sK18_skl(W0),xT,xS)
& ! [W2] :
( sdtlseqdt0(W2,sK18_skl(W0))
| ~ aElementOf0(W2,xT) )
& aElementOf0(sK18_skl(W0),xS) )
| sP1_prd(W0)
| ~ aElementOf0(W0,xS) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18_skl]),skolemize(W1,sK18_skl(W0))],[f220]) ).
fof(f226,plain,
! [X0] : ~ aSupremumOfIn0(X0,xT,xS),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f245,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f216,f226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT388+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n009.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 23:57:57 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.44 % Elapsed time: 0.070734 seconds
% 0.13/0.44 % CPU time: 0.154794 seconds
% 0.13/0.44 % Total memory used: 56.988 MB
% 0.13/0.44 % Net memory used: 56.921 MB
%------------------------------------------------------------------------------