TSTP Solution File: LAT388+4 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LAT388+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 06:03:42 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 75 ( 2 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 78 ( 16 ~; 14 |; 36 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 1 sgn 19 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1330,hypothesis,
( aElementOf0(xp,szDzozmdt0(xf))
& sdtlpdtrp0(xf,xp) = xp
& aFixedPointOf0(xp,xf)
& ! [W0] :
( aElementOf0(W0,xT)
=> sdtlseqdt0(W0,xp) )
& aUpperBoundOfIn0(xp,xT,xS)
& ! [W0] :
( ( ( aElementOf0(W0,xS)
& ! [W1] :
( aElementOf0(W1,xT)
=> sdtlseqdt0(W1,W0) ) )
| aUpperBoundOfIn0(W0,xT,xS) )
=> sdtlseqdt0(xp,W0) )
& aSupremumOfIn0(xp,xT,xS) ) ).
fof(m__,conjecture,
? [W0] :
( ( aElementOf0(W0,xS)
& ( ( aElementOf0(W0,xS)
& ! [W1] :
( aElementOf0(W1,xT)
=> sdtlseqdt0(W1,W0) ) )
| aUpperBoundOfIn0(W0,xT,xS) )
& ! [W1] :
( ( aElementOf0(W1,xS)
& ! [W2] :
( aElementOf0(W2,xT)
=> sdtlseqdt0(W2,W1) )
& aUpperBoundOfIn0(W1,xT,xS) )
=> sdtlseqdt0(W0,W1) ) )
| aSupremumOfIn0(W0,xT,xS) ) ).
fof(subgoal_0,plain,
? [W0] :
( ( aElementOf0(W0,xS)
& ( ( aElementOf0(W0,xS)
& ! [W1] :
( aElementOf0(W1,xT)
=> sdtlseqdt0(W1,W0) ) )
| aUpperBoundOfIn0(W0,xT,xS) )
& ! [W1] :
( ( aElementOf0(W1,xS)
& ! [W2] :
( aElementOf0(W2,xT)
=> sdtlseqdt0(W2,W1) )
& aUpperBoundOfIn0(W1,xT,xS) )
=> sdtlseqdt0(W0,W1) ) )
| aSupremumOfIn0(W0,xT,xS) ),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
~ ? [W0] :
( ( aElementOf0(W0,xS)
& ( ( aElementOf0(W0,xS)
& ! [W1] :
( aElementOf0(W1,xT)
=> sdtlseqdt0(W1,W0) ) )
| aUpperBoundOfIn0(W0,xT,xS) )
& ! [W1] :
( ( aElementOf0(W1,xS)
& ! [W2] :
( aElementOf0(W2,xT)
=> sdtlseqdt0(W2,W1) )
& aUpperBoundOfIn0(W1,xT,xS) )
=> sdtlseqdt0(W0,W1) ) )
| aSupremumOfIn0(W0,xT,xS) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( sdtlpdtrp0(xf,xp) = xp
& aElementOf0(xp,szDzozmdt0(xf))
& aFixedPointOf0(xp,xf)
& aSupremumOfIn0(xp,xT,xS)
& aUpperBoundOfIn0(xp,xT,xS)
& ! [W0] :
( ~ aElementOf0(W0,xT)
| sdtlseqdt0(W0,xp) )
& ! [W0] :
( sdtlseqdt0(xp,W0)
| ( ~ aUpperBoundOfIn0(W0,xT,xS)
& ( ~ aElementOf0(W0,xS)
| ? [W1] :
( ~ sdtlseqdt0(W1,W0)
& aElementOf0(W1,xT) ) ) ) ) ),
inference(canonicalize,[],[m__1330]) ).
fof(normalize_0_1,plain,
aSupremumOfIn0(xp,xT,xS),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( ! [W0] : ~ aSupremumOfIn0(W0,xT,xS)
& ! [W0] :
( ~ aElementOf0(W0,xS)
| ( ~ aUpperBoundOfIn0(W0,xT,xS)
& ( ~ aElementOf0(W0,xS)
| ? [W1] :
( ~ sdtlseqdt0(W1,W0)
& aElementOf0(W1,xT) ) ) )
| ? [W1] :
( ~ sdtlseqdt0(W0,W1)
& aElementOf0(W1,xS)
& aUpperBoundOfIn0(W1,xT,xS)
& ! [W2] :
( ~ aElementOf0(W2,xT)
| sdtlseqdt0(W2,W1) ) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_3,plain,
! [W0] : ~ aSupremumOfIn0(W0,xT,xS),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [W0] : ~ aSupremumOfIn0(W0,xT,xS),
inference(specialize,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
aSupremumOfIn0(xp,xT,xS),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
~ aSupremumOfIn0(W0,xT,xS),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
~ aSupremumOfIn0(xp,xT,xS),
inference(subst,[],[refute_0_1:[bind(W0,$fot(xp))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( aSupremumOfIn0(xp,xT,xS) )],[refute_0_0,refute_0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT388+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 11:42:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42
% 0.19/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.42
%------------------------------------------------------------------------------