TSTP Solution File: LAT388+4 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT388+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 : 300s
% DateTime : Wed May 31 12:17:57 EDT 2023
% Result : Theorem 0.10s 0.34s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 101 ( 3 equ)
% Maximal formula atoms : 12 ( 7 avg)
% Number of connectives : 120 ( 32 ~; 25 |; 53 &)
% ( 0 <=>; 10 =>; 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,
( 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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_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) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f206,plain,
( 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) ),
inference(pre_NNF_transformation,[status(esa)],[f30]) ).
fof(f207,plain,
( 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)
| ( aElementOf0(sk0_17(W0),xT)
& ~ sdtlseqdt0(sk0_17(W0),W0) ) )
& ~ aUpperBoundOfIn0(W0,xT,xS) )
| sdtlseqdt0(xp,W0) )
& aSupremumOfIn0(xp,xT,xS) ),
inference(skolemization,[status(esa)],[f206]) ).
fof(f216,plain,
aSupremumOfIn0(xp,xT,xS),
inference(cnf_transformation,[status(esa)],[f207]) ).
fof(f217,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(pre_NNF_transformation,[status(esa)],[f32]) ).
fof(f218,plain,
! [W0] :
( pd0_1(W0)
=> ( ( ~ aElementOf0(W0,xS)
| ? [W1] :
( aElementOf0(W1,xT)
& ~ sdtlseqdt0(W1,W0) ) )
& ~ aUpperBoundOfIn0(W0,xT,xS) ) ),
introduced(predicate_definition,[f217]) ).
fof(f219,plain,
! [W0] :
( ( ~ aElementOf0(W0,xS)
| pd0_1(W0)
| ? [W1] :
( aElementOf0(W1,xS)
& ! [W2] :
( ~ aElementOf0(W2,xT)
| sdtlseqdt0(W2,W1) )
& aUpperBoundOfIn0(W1,xT,xS)
& ~ sdtlseqdt0(W0,W1) ) )
& ~ aSupremumOfIn0(W0,xT,xS) ),
inference(formula_renaming,[status(thm)],[f217,f218]) ).
fof(f220,plain,
( ! [W0] :
( ~ aElementOf0(W0,xS)
| pd0_1(W0)
| ? [W1] :
( aElementOf0(W1,xS)
& ! [W2] :
( ~ aElementOf0(W2,xT)
| sdtlseqdt0(W2,W1) )
& aUpperBoundOfIn0(W1,xT,xS)
& ~ sdtlseqdt0(W0,W1) ) )
& ! [W0] : ~ aSupremumOfIn0(W0,xT,xS) ),
inference(miniscoping,[status(esa)],[f219]) ).
fof(f221,plain,
( ! [W0] :
( ~ aElementOf0(W0,xS)
| pd0_1(W0)
| ( aElementOf0(sk0_18(W0),xS)
& ! [W2] :
( ~ aElementOf0(W2,xT)
| sdtlseqdt0(W2,sk0_18(W0)) )
& aUpperBoundOfIn0(sk0_18(W0),xT,xS)
& ~ sdtlseqdt0(W0,sk0_18(W0)) ) )
& ! [W0] : ~ aSupremumOfIn0(W0,xT,xS) ),
inference(skolemization,[status(esa)],[f220]) ).
fof(f226,plain,
! [X0] : ~ aSupremumOfIn0(X0,xT,xS),
inference(cnf_transformation,[status(esa)],[f221]) ).
fof(f238,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f216,f226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LAT388+4 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n004.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 09:18:52 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.56 % Elapsed time: 0.016802 seconds
% 0.16/0.56 % CPU time: 0.015808 seconds
% 0.16/0.56 % Memory used: 3.854 MB
%------------------------------------------------------------------------------