TSTP Solution File: SEU304+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU304+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Sun May 5 09:32:53 EDT 2024
% Result : Theorem 0.17s 0.37s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 76 ( 17 unt; 0 def)
% Number of atoms : 326 ( 45 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 391 ( 141 ~; 150 |; 73 &)
% ( 6 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 119 ( 96 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1033,plain,
$false,
inference(subsumption_resolution,[],[f1031,f137]) ).
fof(f137,plain,
~ below(sK0,meet_commut(sK0,sK1,sK2),sK1),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ~ below(sK0,meet_commut(sK0,sK1,sK2),sK1)
& element(sK2,the_carrier(sK0))
& element(sK1,the_carrier(sK0))
& latt_str(sK0)
& meet_absorbing(sK0)
& meet_commutative(sK0)
& ~ empty_carrier(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f55,f104,f103,f102]) ).
fof(f102,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ below(X0,meet_commut(X0,X1,X2),X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& latt_str(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( ? [X2] :
( ~ below(sK0,meet_commut(sK0,X1,X2),X1)
& element(X2,the_carrier(sK0)) )
& element(X1,the_carrier(sK0)) )
& latt_str(sK0)
& meet_absorbing(sK0)
& meet_commutative(sK0)
& ~ empty_carrier(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
( ? [X1] :
( ? [X2] :
( ~ below(sK0,meet_commut(sK0,X1,X2),X1)
& element(X2,the_carrier(sK0)) )
& element(X1,the_carrier(sK0)) )
=> ( ? [X2] :
( ~ below(sK0,meet_commut(sK0,sK1,X2),sK1)
& element(X2,the_carrier(sK0)) )
& element(sK1,the_carrier(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
( ? [X2] :
( ~ below(sK0,meet_commut(sK0,sK1,X2),sK1)
& element(X2,the_carrier(sK0)) )
=> ( ~ below(sK0,meet_commut(sK0,sK1,sK2),sK1)
& element(sK2,the_carrier(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ below(X0,meet_commut(X0,X1,X2),X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& latt_str(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ below(X0,meet_commut(X0,X1,X2),X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& latt_str(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,negated_conjecture,
~ ! [X0] :
( ( latt_str(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> below(X0,meet_commut(X0,X1,X2),X1) ) ) ),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
! [X0] :
( ( latt_str(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> below(X0,meet_commut(X0,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_lattices) ).
fof(f1031,plain,
below(sK0,meet_commut(sK0,sK1,sK2),sK1),
inference(superposition,[],[f771,f1000]) ).
fof(f1000,plain,
meet_commut(sK0,sK1,sK2) = meet_commut(sK0,sK2,sK1),
inference(resolution,[],[f745,f136]) ).
fof(f136,plain,
element(sK2,the_carrier(sK0)),
inference(cnf_transformation,[],[f105]) ).
fof(f745,plain,
! [X0] :
( ~ element(X0,the_carrier(sK0))
| meet_commut(sK0,X0,sK1) = meet_commut(sK0,sK1,X0) ),
inference(subsumption_resolution,[],[f744,f131]) ).
fof(f131,plain,
~ empty_carrier(sK0),
inference(cnf_transformation,[],[f105]) ).
fof(f744,plain,
! [X0] :
( meet_commut(sK0,X0,sK1) = meet_commut(sK0,sK1,X0)
| ~ element(X0,the_carrier(sK0))
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f743,f132]) ).
fof(f132,plain,
meet_commutative(sK0),
inference(cnf_transformation,[],[f105]) ).
fof(f743,plain,
! [X0] :
( meet_commut(sK0,X0,sK1) = meet_commut(sK0,sK1,X0)
| ~ element(X0,the_carrier(sK0))
| ~ meet_commutative(sK0)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f723,f195]) ).
fof(f195,plain,
meet_semilatt_str(sK0),
inference(resolution,[],[f144,f134]) ).
fof(f134,plain,
latt_str(sK0),
inference(cnf_transformation,[],[f105]) ).
fof(f144,plain,
! [X0] :
( ~ latt_str(X0)
| meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ( join_semilatt_str(X0)
& meet_semilatt_str(X0) )
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( latt_str(X0)
=> ( join_semilatt_str(X0)
& meet_semilatt_str(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f723,plain,
! [X0] :
( meet_commut(sK0,X0,sK1) = meet_commut(sK0,sK1,X0)
| ~ element(X0,the_carrier(sK0))
| ~ meet_semilatt_str(sK0)
| ~ meet_commutative(sK0)
| empty_carrier(sK0) ),
inference(resolution,[],[f180,f135]) ).
fof(f135,plain,
element(sK1,the_carrier(sK0)),
inference(cnf_transformation,[],[f105]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& meet_semilatt_str(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k4_lattices) ).
fof(f771,plain,
below(sK0,meet_commut(sK0,sK2,sK1),sK1),
inference(subsumption_resolution,[],[f770,f131]) ).
fof(f770,plain,
( below(sK0,meet_commut(sK0,sK2,sK1),sK1)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f769,f197]) ).
fof(f197,plain,
join_semilatt_str(sK0),
inference(resolution,[],[f145,f134]) ).
fof(f145,plain,
! [X0] :
( ~ latt_str(X0)
| join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f769,plain,
( below(sK0,meet_commut(sK0,sK2,sK1),sK1)
| ~ join_semilatt_str(sK0)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f768,f705]) ).
fof(f705,plain,
element(meet_commut(sK0,sK2,sK1),the_carrier(sK0)),
inference(subsumption_resolution,[],[f704,f131]) ).
fof(f704,plain,
( element(meet_commut(sK0,sK2,sK1),the_carrier(sK0))
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f703,f195]) ).
fof(f703,plain,
( element(meet_commut(sK0,sK2,sK1),the_carrier(sK0))
| ~ meet_semilatt_str(sK0)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f702,f136]) ).
fof(f702,plain,
( element(meet_commut(sK0,sK2,sK1),the_carrier(sK0))
| ~ element(sK2,the_carrier(sK0))
| ~ meet_semilatt_str(sK0)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f701,f135]) ).
fof(f701,plain,
( element(meet_commut(sK0,sK2,sK1),the_carrier(sK0))
| ~ element(sK1,the_carrier(sK0))
| ~ element(sK2,the_carrier(sK0))
| ~ meet_semilatt_str(sK0)
| empty_carrier(sK0) ),
inference(superposition,[],[f182,f657]) ).
fof(f657,plain,
meet(sK0,sK2,sK1) = meet_commut(sK0,sK2,sK1),
inference(resolution,[],[f637,f136]) ).
fof(f637,plain,
! [X0] :
( ~ element(X0,the_carrier(sK0))
| meet(sK0,X0,sK1) = meet_commut(sK0,X0,sK1) ),
inference(subsumption_resolution,[],[f636,f131]) ).
fof(f636,plain,
! [X0] :
( meet(sK0,X0,sK1) = meet_commut(sK0,X0,sK1)
| ~ element(X0,the_carrier(sK0))
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f635,f132]) ).
fof(f635,plain,
! [X0] :
( meet(sK0,X0,sK1) = meet_commut(sK0,X0,sK1)
| ~ element(X0,the_carrier(sK0))
| ~ meet_commutative(sK0)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f617,f195]) ).
fof(f617,plain,
! [X0] :
( meet(sK0,X0,sK1) = meet_commut(sK0,X0,sK1)
| ~ element(X0,the_carrier(sK0))
| ~ meet_semilatt_str(sK0)
| ~ meet_commutative(sK0)
| empty_carrier(sK0) ),
inference(resolution,[],[f179,f135]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| meet_commut(X0,X1,X2) = meet(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& meet_semilatt_str(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> meet_commut(X0,X1,X2) = meet(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_lattices) ).
fof(f182,plain,
! [X2,X0,X1] :
( element(meet(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( element(meet(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( element(meet(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& meet_semilatt_str(X0)
& ~ empty_carrier(X0) )
=> element(meet(X0,X1,X2),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_lattices) ).
fof(f768,plain,
( below(sK0,meet_commut(sK0,sK2,sK1),sK1)
| ~ element(meet_commut(sK0,sK2,sK1),the_carrier(sK0))
| ~ join_semilatt_str(sK0)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f767,f135]) ).
fof(f767,plain,
( below(sK0,meet_commut(sK0,sK2,sK1),sK1)
| ~ element(sK1,the_carrier(sK0))
| ~ element(meet_commut(sK0,sK2,sK1),the_carrier(sK0))
| ~ join_semilatt_str(sK0)
| empty_carrier(sK0) ),
inference(trivial_inequality_removal,[],[f765]) ).
fof(f765,plain,
( sK1 != sK1
| below(sK0,meet_commut(sK0,sK2,sK1),sK1)
| ~ element(sK1,the_carrier(sK0))
| ~ element(meet_commut(sK0,sK2,sK1),the_carrier(sK0))
| ~ join_semilatt_str(sK0)
| empty_carrier(sK0) ),
inference(superposition,[],[f161,f700]) ).
fof(f700,plain,
sK1 = join(sK0,meet_commut(sK0,sK2,sK1),sK1),
inference(superposition,[],[f515,f657]) ).
fof(f515,plain,
sK1 = join(sK0,meet(sK0,sK2,sK1),sK1),
inference(resolution,[],[f507,f136]) ).
fof(f507,plain,
! [X0] :
( ~ element(X0,the_carrier(sK0))
| sK1 = join(sK0,meet(sK0,X0,sK1),sK1) ),
inference(subsumption_resolution,[],[f506,f131]) ).
fof(f506,plain,
! [X0] :
( sK1 = join(sK0,meet(sK0,X0,sK1),sK1)
| ~ element(X0,the_carrier(sK0))
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f505,f134]) ).
fof(f505,plain,
! [X0] :
( sK1 = join(sK0,meet(sK0,X0,sK1),sK1)
| ~ element(X0,the_carrier(sK0))
| ~ latt_str(sK0)
| empty_carrier(sK0) ),
inference(subsumption_resolution,[],[f487,f133]) ).
fof(f133,plain,
meet_absorbing(sK0),
inference(cnf_transformation,[],[f105]) ).
fof(f487,plain,
! [X0] :
( sK1 = join(sK0,meet(sK0,X0,sK1),sK1)
| ~ element(X0,the_carrier(sK0))
| ~ meet_absorbing(sK0)
| ~ latt_str(sK0)
| empty_carrier(sK0) ),
inference(resolution,[],[f155,f135]) ).
fof(f155,plain,
! [X3,X0,X4] :
( ~ element(X4,the_carrier(X0))
| join(X0,meet(X0,X3,X4),X4) = X4
| ~ element(X3,the_carrier(X0))
| ~ meet_absorbing(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ( ( meet_absorbing(X0)
| ( sK4(X0) != join(X0,meet(X0,sK3(X0),sK4(X0)),sK4(X0))
& element(sK4(X0),the_carrier(X0))
& element(sK3(X0),the_carrier(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( join(X0,meet(X0,X3,X4),X4) = X4
| ~ element(X4,the_carrier(X0)) )
| ~ element(X3,the_carrier(X0)) )
| ~ meet_absorbing(X0) ) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f107,f109,f108]) ).
fof(f108,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( join(X0,meet(X0,X1,X2),X2) != X2
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
=> ( ? [X2] :
( join(X0,meet(X0,sK3(X0),X2),X2) != X2
& element(X2,the_carrier(X0)) )
& element(sK3(X0),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X0] :
( ? [X2] :
( join(X0,meet(X0,sK3(X0),X2),X2) != X2
& element(X2,the_carrier(X0)) )
=> ( sK4(X0) != join(X0,meet(X0,sK3(X0),sK4(X0)),sK4(X0))
& element(sK4(X0),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0] :
( ( ( meet_absorbing(X0)
| ? [X1] :
( ? [X2] :
( join(X0,meet(X0,X1,X2),X2) != X2
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( join(X0,meet(X0,X3,X4),X4) = X4
| ~ element(X4,the_carrier(X0)) )
| ~ element(X3,the_carrier(X0)) )
| ~ meet_absorbing(X0) ) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( ( meet_absorbing(X0)
| ? [X1] :
( ? [X2] :
( join(X0,meet(X0,X1,X2),X2) != X2
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) ) )
& ( ! [X1] :
( ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ meet_absorbing(X0) ) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ( meet_absorbing(X0)
<=> ! [X1] :
( ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) ) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( meet_absorbing(X0)
<=> ! [X1] :
( ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) ) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0) )
=> ( meet_absorbing(X0)
<=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> join(X0,meet(X0,X1,X2),X2) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_lattices) ).
fof(f161,plain,
! [X2,X0,X1] :
( join(X0,X1,X2) != X2
| below(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( below(X0,X1,X2)
| join(X0,X1,X2) != X2 )
& ( join(X0,X1,X2) = X2
| ~ below(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ join_semilatt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( join_semilatt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattices) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SEU304+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 11:29:03 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (10444)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (10447)WARNING: value z3 for option sas not known
% 0.11/0.34 % (10448)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (10445)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (10446)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (10449)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.34 % (10450)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.34 % (10447)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (10451)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.34 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.17/0.36 TRYING [1]
% 0.17/0.36 TRYING [1]
% 0.17/0.36 TRYING [2]
% 0.17/0.36 TRYING [2]
% 0.17/0.37 TRYING [3]
% 0.17/0.37 % (10447)First to succeed.
% 0.17/0.37 % (10447)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10444"
% 0.17/0.37 % (10447)Refutation found. Thanks to Tanya!
% 0.17/0.37 % SZS status Theorem for theBenchmark
% 0.17/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.37 % (10447)------------------------------
% 0.17/0.37 % (10447)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.37 % (10447)Termination reason: Refutation
% 0.17/0.37
% 0.17/0.37 % (10447)Memory used [KB]: 1296
% 0.17/0.37 % (10447)Time elapsed: 0.033 s
% 0.17/0.37 % (10447)Instructions burned: 59 (million)
% 0.17/0.37 % (10444)Success in time 0.045 s
%------------------------------------------------------------------------------