TSTP Solution File: SEU347+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU347+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 : Tue May 21 03:47:10 EDT 2024
% Result : Theorem 1.87s 0.98s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 29
% Syntax : Number of formulae : 286 ( 13 unt; 0 def)
% Number of atoms : 1342 ( 12 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 1742 ( 686 ~; 854 |; 140 &)
% ( 29 <=>; 31 =>; 0 <=; 2 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 13 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 265 ( 242 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4767,plain,
$false,
inference(avatar_sat_refutation,[],[f287,f288,f1651,f1745,f1758,f2477,f4367,f4372,f4391,f4415,f4482,f4549,f4618,f4760]) ).
fof(f4760,plain,
( spl16_1
| ~ spl16_2
| ~ spl16_213 ),
inference(avatar_contradiction_clause,[],[f4759]) ).
fof(f4759,plain,
( $false
| spl16_1
| ~ spl16_2
| ~ spl16_213 ),
inference(subsumption_resolution,[],[f4755,f4387]) ).
fof(f4387,plain,
( in(sK5(sK1,sK2,sK0),sK0)
| spl16_1 ),
inference(subsumption_resolution,[],[f4386,f178]) ).
fof(f178,plain,
~ empty_carrier(sK1),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( ~ relstr_element_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2))
| ~ latt_set_smaller(sK1,sK2,sK0) )
& ( relstr_element_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2))
| latt_set_smaller(sK1,sK2,sK0) )
& element(sK2,the_carrier(sK1))
& latt_str(sK1)
& lattice(sK1)
& ~ empty_carrier(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f140,f142,f141]) ).
fof(f141,plain,
( ? [X0,X1] :
( ? [X2] :
( ( ~ relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ latt_set_smaller(X1,X2,X0) )
& ( relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| latt_set_smaller(X1,X2,X0) )
& element(X2,the_carrier(X1)) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ( ? [X2] :
( ( ~ relstr_element_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,X2))
| ~ latt_set_smaller(sK1,X2,sK0) )
& ( relstr_element_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,X2))
| latt_set_smaller(sK1,X2,sK0) )
& element(X2,the_carrier(sK1)) )
& latt_str(sK1)
& lattice(sK1)
& ~ empty_carrier(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ? [X2] :
( ( ~ relstr_element_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,X2))
| ~ latt_set_smaller(sK1,X2,sK0) )
& ( relstr_element_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,X2))
| latt_set_smaller(sK1,X2,sK0) )
& element(X2,the_carrier(sK1)) )
=> ( ( ~ relstr_element_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2))
| ~ latt_set_smaller(sK1,sK2,sK0) )
& ( relstr_element_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2))
| latt_set_smaller(sK1,sK2,sK0) )
& element(sK2,the_carrier(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ latt_set_smaller(X1,X2,X0) )
& ( relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| latt_set_smaller(X1,X2,X0) )
& element(X2,the_carrier(X1)) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ latt_set_smaller(X1,X2,X0) )
& ( relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| latt_set_smaller(X1,X2,X0) )
& element(X2,the_carrier(X1)) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
? [X0,X1] :
( ? [X2] :
( ( latt_set_smaller(X1,X2,X0)
<~> relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
& element(X2,the_carrier(X1)) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
? [X0,X1] :
( ? [X2] :
( ( latt_set_smaller(X1,X2,X0)
<~> relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) )
& element(X2,the_carrier(X1)) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,negated_conjecture,
~ ! [X0,X1] :
( ( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( latt_set_smaller(X1,X2,X0)
<=> relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) ) ),
inference(negated_conjecture,[],[f63]) ).
fof(f63,conjecture,
! [X0,X1] :
( ( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( latt_set_smaller(X1,X2,X0)
<=> relstr_element_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_lattice3) ).
fof(f4386,plain,
( in(sK5(sK1,sK2,sK0),sK0)
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f4385,f180]) ).
fof(f180,plain,
latt_str(sK1),
inference(cnf_transformation,[],[f143]) ).
fof(f4385,plain,
( in(sK5(sK1,sK2,sK0),sK0)
| ~ latt_str(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f4376,f181]) ).
fof(f181,plain,
element(sK2,the_carrier(sK1)),
inference(cnf_transformation,[],[f143]) ).
fof(f4376,plain,
( in(sK5(sK1,sK2,sK0),sK0)
| ~ element(sK2,the_carrier(sK1))
| ~ latt_str(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(resolution,[],[f282,f205]) ).
fof(f205,plain,
! [X2,X0,X1] :
( latt_set_smaller(X0,X1,X2)
| in(sK5(X0,X1,X2),X2)
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( latt_set_smaller(X0,X1,X2)
| ( ~ below(X0,X1,sK5(X0,X1,X2))
& in(sK5(X0,X1,X2),X2)
& element(sK5(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X4] :
( below(X0,X1,X4)
| ~ in(X4,X2)
| ~ element(X4,the_carrier(X0)) )
| ~ latt_set_smaller(X0,X1,X2) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f150,f151]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ below(X0,X1,X3)
& in(X3,X2)
& element(X3,the_carrier(X0)) )
=> ( ~ below(X0,X1,sK5(X0,X1,X2))
& in(sK5(X0,X1,X2),X2)
& element(sK5(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( latt_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ below(X0,X1,X3)
& in(X3,X2)
& element(X3,the_carrier(X0)) ) )
& ( ! [X4] :
( below(X0,X1,X4)
| ~ in(X4,X2)
| ~ element(X4,the_carrier(X0)) )
| ~ latt_set_smaller(X0,X1,X2) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(rectify,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( latt_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ below(X0,X1,X3)
& in(X3,X2)
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( below(X0,X1,X3)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) )
| ~ latt_set_smaller(X0,X1,X2) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( latt_set_smaller(X0,X1,X2)
<=> ! [X3] :
( below(X0,X1,X3)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( latt_set_smaller(X0,X1,X2)
<=> ! [X3] :
( below(X0,X1,X3)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( latt_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( latt_set_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X2)
=> below(X0,X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_lattice3) ).
fof(f282,plain,
( ~ latt_set_smaller(sK1,sK2,sK0)
| spl16_1 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl16_1
<=> latt_set_smaller(sK1,sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f4755,plain,
( ~ in(sK5(sK1,sK2,sK0),sK0)
| ~ spl16_2
| ~ spl16_213 ),
inference(resolution,[],[f4548,f4436]) ).
fof(f4436,plain,
( relstr_element_smaller(poset_of_lattice(sK1),sK0,sK2)
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f4435,f178]) ).
fof(f4435,plain,
( relstr_element_smaller(poset_of_lattice(sK1),sK0,sK2)
| empty_carrier(sK1)
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f4434,f179]) ).
fof(f179,plain,
lattice(sK1),
inference(cnf_transformation,[],[f143]) ).
fof(f4434,plain,
( relstr_element_smaller(poset_of_lattice(sK1),sK0,sK2)
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f4433,f180]) ).
fof(f4433,plain,
( relstr_element_smaller(poset_of_lattice(sK1),sK0,sK2)
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f4432,f181]) ).
fof(f4432,plain,
( relstr_element_smaller(poset_of_lattice(sK1),sK0,sK2)
| ~ element(sK2,the_carrier(sK1))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_2 ),
inference(superposition,[],[f285,f201]) ).
fof(f201,plain,
! [X0,X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattice3) ).
fof(f285,plain,
( relstr_element_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2))
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl16_2
<=> relstr_element_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f4548,plain,
( ! [X0] :
( ~ relstr_element_smaller(poset_of_lattice(sK1),X0,sK2)
| ~ in(sK5(sK1,sK2,sK0),X0) )
| ~ spl16_213 ),
inference(avatar_component_clause,[],[f4547]) ).
fof(f4547,plain,
( spl16_213
<=> ! [X0] :
( ~ in(sK5(sK1,sK2,sK0),X0)
| ~ relstr_element_smaller(poset_of_lattice(sK1),X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_213])]) ).
fof(f4618,plain,
( spl16_204
| ~ spl16_102
| ~ spl16_195 ),
inference(avatar_split_clause,[],[f4617,f4238,f2539,f4404]) ).
fof(f4404,plain,
( spl16_204
<=> element(sK5(sK1,sK2,sK0),the_carrier(poset_of_lattice(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_204])]) ).
fof(f2539,plain,
( spl16_102
<=> element(sK5(sK1,sK2,sK0),the_carrier(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_102])]) ).
fof(f4238,plain,
( spl16_195
<=> element(cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),the_carrier(poset_of_lattice(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_195])]) ).
fof(f4617,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(poset_of_lattice(sK1)))
| ~ spl16_102
| ~ spl16_195 ),
inference(subsumption_resolution,[],[f4616,f178]) ).
fof(f4616,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(poset_of_lattice(sK1)))
| empty_carrier(sK1)
| ~ spl16_102
| ~ spl16_195 ),
inference(subsumption_resolution,[],[f4615,f179]) ).
fof(f4615,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(poset_of_lattice(sK1)))
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_102
| ~ spl16_195 ),
inference(subsumption_resolution,[],[f4614,f180]) ).
fof(f4614,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(poset_of_lattice(sK1)))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_102
| ~ spl16_195 ),
inference(subsumption_resolution,[],[f4604,f2540]) ).
fof(f2540,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| ~ spl16_102 ),
inference(avatar_component_clause,[],[f2539]) ).
fof(f4604,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(poset_of_lattice(sK1)))
| ~ element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_195 ),
inference(superposition,[],[f4239,f201]) ).
fof(f4239,plain,
( element(cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),the_carrier(poset_of_lattice(sK1)))
| ~ spl16_195 ),
inference(avatar_component_clause,[],[f4238]) ).
fof(f4549,plain,
( ~ spl16_204
| spl16_213
| ~ spl16_44
| spl16_205 ),
inference(avatar_split_clause,[],[f4545,f4412,f1632,f4547,f4404]) ).
fof(f1632,plain,
( spl16_44
<=> rel_str(poset_of_lattice(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_44])]) ).
fof(f4412,plain,
( spl16_205
<=> related(poset_of_lattice(sK1),sK2,sK5(sK1,sK2,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_205])]) ).
fof(f4545,plain,
( ! [X0] :
( ~ in(sK5(sK1,sK2,sK0),X0)
| ~ element(sK5(sK1,sK2,sK0),the_carrier(poset_of_lattice(sK1)))
| ~ relstr_element_smaller(poset_of_lattice(sK1),X0,sK2) )
| ~ spl16_44
| spl16_205 ),
inference(subsumption_resolution,[],[f4544,f1633]) ).
fof(f1633,plain,
( rel_str(poset_of_lattice(sK1))
| ~ spl16_44 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f4544,plain,
( ! [X0] :
( ~ in(sK5(sK1,sK2,sK0),X0)
| ~ element(sK5(sK1,sK2,sK0),the_carrier(poset_of_lattice(sK1)))
| ~ relstr_element_smaller(poset_of_lattice(sK1),X0,sK2)
| ~ rel_str(poset_of_lattice(sK1)) )
| spl16_205 ),
inference(subsumption_resolution,[],[f4534,f393]) ).
fof(f393,plain,
element(sK2,the_carrier(poset_of_lattice(sK1))),
inference(subsumption_resolution,[],[f392,f178]) ).
fof(f392,plain,
( element(sK2,the_carrier(poset_of_lattice(sK1)))
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f391,f179]) ).
fof(f391,plain,
( element(sK2,the_carrier(poset_of_lattice(sK1)))
| ~ lattice(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f390,f180]) ).
fof(f390,plain,
( element(sK2,the_carrier(poset_of_lattice(sK1)))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f377,f181]) ).
fof(f377,plain,
( element(sK2,the_carrier(poset_of_lattice(sK1)))
| ~ element(sK2,the_carrier(sK1))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1) ),
inference(superposition,[],[f373,f201]) ).
fof(f373,plain,
element(cast_to_el_of_LattPOSet(sK1,sK2),the_carrier(poset_of_lattice(sK1))),
inference(resolution,[],[f371,f181]) ).
fof(f371,plain,
! [X0] :
( ~ element(X0,the_carrier(sK1))
| element(cast_to_el_of_LattPOSet(sK1,X0),the_carrier(poset_of_lattice(sK1))) ),
inference(subsumption_resolution,[],[f370,f178]) ).
fof(f370,plain,
! [X0] :
( ~ element(X0,the_carrier(sK1))
| element(cast_to_el_of_LattPOSet(sK1,X0),the_carrier(poset_of_lattice(sK1)))
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f369,f180]) ).
fof(f369,plain,
! [X0] :
( ~ element(X0,the_carrier(sK1))
| ~ latt_str(sK1)
| element(cast_to_el_of_LattPOSet(sK1,X0),the_carrier(poset_of_lattice(sK1)))
| empty_carrier(sK1) ),
inference(resolution,[],[f193,f179]) ).
fof(f193,plain,
! [X0,X1] :
( ~ lattice(X0)
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0)))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ( element(X1,the_carrier(X0))
& latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> element(cast_to_el_of_LattPOSet(X0,X1),the_carrier(poset_of_lattice(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_lattice3) ).
fof(f4534,plain,
( ! [X0] :
( ~ in(sK5(sK1,sK2,sK0),X0)
| ~ element(sK5(sK1,sK2,sK0),the_carrier(poset_of_lattice(sK1)))
| ~ relstr_element_smaller(poset_of_lattice(sK1),X0,sK2)
| ~ element(sK2,the_carrier(poset_of_lattice(sK1)))
| ~ rel_str(poset_of_lattice(sK1)) )
| spl16_205 ),
inference(resolution,[],[f4414,f207]) ).
fof(f207,plain,
! [X2,X0,X1,X4] :
( related(X0,X2,X4)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0))
| ~ relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ( ~ related(X0,X2,sK6(X0,X1,X2))
& in(sK6(X0,X1,X2),X1)
& element(sK6(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X4] :
( related(X0,X2,X4)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f154,f155]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ related(X0,X2,X3)
& in(X3,X1)
& element(X3,the_carrier(X0)) )
=> ( ~ related(X0,X2,sK6(X0,X1,X2))
& in(sK6(X0,X1,X2),X1)
& element(sK6(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& in(X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ! [X4] :
( related(X0,X2,X4)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(rectify,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& in(X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X1)
=> related(X0,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_lattice3) ).
fof(f4414,plain,
( ~ related(poset_of_lattice(sK1),sK2,sK5(sK1,sK2,sK0))
| spl16_205 ),
inference(avatar_component_clause,[],[f4412]) ).
fof(f4482,plain,
( spl16_195
| ~ spl16_102 ),
inference(avatar_split_clause,[],[f4478,f2539,f4238]) ).
fof(f4478,plain,
( element(cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),the_carrier(poset_of_lattice(sK1)))
| ~ spl16_102 ),
inference(resolution,[],[f2540,f371]) ).
fof(f4415,plain,
( ~ spl16_102
| ~ spl16_205
| spl16_53 ),
inference(avatar_split_clause,[],[f4410,f1742,f4412,f2539]) ).
fof(f1742,plain,
( spl16_53
<=> related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_53])]) ).
fof(f4410,plain,
( ~ related(poset_of_lattice(sK1),sK2,sK5(sK1,sK2,sK0))
| ~ element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| spl16_53 ),
inference(subsumption_resolution,[],[f4409,f178]) ).
fof(f4409,plain,
( ~ related(poset_of_lattice(sK1),sK2,sK5(sK1,sK2,sK0))
| ~ element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| empty_carrier(sK1)
| spl16_53 ),
inference(subsumption_resolution,[],[f4408,f179]) ).
fof(f4408,plain,
( ~ related(poset_of_lattice(sK1),sK2,sK5(sK1,sK2,sK0))
| ~ element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_53 ),
inference(subsumption_resolution,[],[f3960,f180]) ).
fof(f3960,plain,
( ~ related(poset_of_lattice(sK1),sK2,sK5(sK1,sK2,sK0))
| ~ element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_53 ),
inference(superposition,[],[f3950,f201]) ).
fof(f3950,plain,
( ~ related(poset_of_lattice(sK1),sK2,cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| spl16_53 ),
inference(subsumption_resolution,[],[f3949,f178]) ).
fof(f3949,plain,
( ~ related(poset_of_lattice(sK1),sK2,cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| empty_carrier(sK1)
| spl16_53 ),
inference(subsumption_resolution,[],[f3948,f179]) ).
fof(f3948,plain,
( ~ related(poset_of_lattice(sK1),sK2,cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_53 ),
inference(subsumption_resolution,[],[f3947,f180]) ).
fof(f3947,plain,
( ~ related(poset_of_lattice(sK1),sK2,cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_53 ),
inference(subsumption_resolution,[],[f3937,f181]) ).
fof(f3937,plain,
( ~ related(poset_of_lattice(sK1),sK2,cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| ~ element(sK2,the_carrier(sK1))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_53 ),
inference(superposition,[],[f1744,f201]) ).
fof(f1744,plain,
( ~ related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| spl16_53 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f4391,plain,
( spl16_102
| spl16_1 ),
inference(avatar_split_clause,[],[f4390,f280,f2539]) ).
fof(f4390,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| spl16_1 ),
inference(subsumption_resolution,[],[f4389,f178]) ).
fof(f4389,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f4388,f180]) ).
fof(f4388,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| ~ latt_str(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f4375,f181]) ).
fof(f4375,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| ~ element(sK2,the_carrier(sK1))
| ~ latt_str(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(resolution,[],[f282,f204]) ).
fof(f204,plain,
! [X2,X0,X1] :
( latt_set_smaller(X0,X1,X2)
| element(sK5(X0,X1,X2),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f4372,plain,
~ spl16_46,
inference(avatar_contradiction_clause,[],[f4371]) ).
fof(f4371,plain,
( $false
| ~ spl16_46 ),
inference(subsumption_resolution,[],[f4370,f178]) ).
fof(f4370,plain,
( empty_carrier(sK1)
| ~ spl16_46 ),
inference(subsumption_resolution,[],[f4369,f179]) ).
fof(f4369,plain,
( ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_46 ),
inference(subsumption_resolution,[],[f4368,f180]) ).
fof(f4368,plain,
( ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_46 ),
inference(resolution,[],[f1641,f187]) ).
fof(f187,plain,
! [X0] :
( ~ empty_carrier(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ( antisymmetric_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( antisymmetric_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ( antisymmetric_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0))
& ~ empty_carrier(poset_of_lattice(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_lattice3) ).
fof(f1641,plain,
( empty_carrier(poset_of_lattice(sK1))
| ~ spl16_46 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f1640,plain,
( spl16_46
<=> empty_carrier(poset_of_lattice(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_46])]) ).
fof(f4367,plain,
( spl16_100
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(avatar_split_clause,[],[f4366,f1632,f284,f280,f2429]) ).
fof(f2429,plain,
( spl16_100
<=> related_reflexive(poset_of_lattice(sK1),sK2,sK6(poset_of_lattice(sK1),sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_100])]) ).
fof(f4366,plain,
( related_reflexive(poset_of_lattice(sK1),sK2,sK6(poset_of_lattice(sK1),sK0,sK2))
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f4365,f178]) ).
fof(f4365,plain,
( related_reflexive(poset_of_lattice(sK1),sK2,sK6(poset_of_lattice(sK1),sK0,sK2))
| empty_carrier(sK1)
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f4364,f179]) ).
fof(f4364,plain,
( related_reflexive(poset_of_lattice(sK1),sK2,sK6(poset_of_lattice(sK1),sK0,sK2))
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f4363,f180]) ).
fof(f4363,plain,
( related_reflexive(poset_of_lattice(sK1),sK2,sK6(poset_of_lattice(sK1),sK0,sK2))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f4336,f2565]) ).
fof(f2565,plain,
( element(sK6(poset_of_lattice(sK1),sK0,sK2),the_carrier(sK1))
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2564,f178]) ).
fof(f2564,plain,
( element(sK6(poset_of_lattice(sK1),sK0,sK2),the_carrier(sK1))
| empty_carrier(sK1)
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2563,f179]) ).
fof(f2563,plain,
( element(sK6(poset_of_lattice(sK1),sK0,sK2),the_carrier(sK1))
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2562,f180]) ).
fof(f2562,plain,
( element(sK6(poset_of_lattice(sK1),sK0,sK2),the_carrier(sK1))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2561,f181]) ).
fof(f2561,plain,
( element(sK6(poset_of_lattice(sK1),sK0,sK2),the_carrier(sK1))
| ~ element(sK2,the_carrier(sK1))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_2
| ~ spl16_44 ),
inference(superposition,[],[f2503,f201]) ).
fof(f2503,plain,
( element(sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)),the_carrier(sK1))
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2498,f2351]) ).
fof(f2351,plain,
( element(sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)),the_carrier(poset_of_lattice(sK1)))
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2350,f1633]) ).
fof(f2350,plain,
( element(sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)),the_carrier(poset_of_lattice(sK1)))
| ~ rel_str(poset_of_lattice(sK1))
| spl16_2 ),
inference(subsumption_resolution,[],[f2345,f373]) ).
fof(f2345,plain,
( element(sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)),the_carrier(poset_of_lattice(sK1)))
| ~ element(cast_to_el_of_LattPOSet(sK1,sK2),the_carrier(poset_of_lattice(sK1)))
| ~ rel_str(poset_of_lattice(sK1))
| spl16_2 ),
inference(resolution,[],[f286,f208]) ).
fof(f208,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X0,X1,X2)
| element(sK6(X0,X1,X2),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f286,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2))
| spl16_2 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f2498,plain,
( element(sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)),the_carrier(sK1))
| ~ element(sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)),the_carrier(poset_of_lattice(sK1)))
| spl16_2
| ~ spl16_44 ),
inference(superposition,[],[f366,f2384]) ).
fof(f2384,plain,
( sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)) = cast_to_el_of_lattice(sK1,sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)))
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2383,f178]) ).
fof(f2383,plain,
( sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)) = cast_to_el_of_lattice(sK1,sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)))
| empty_carrier(sK1)
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2382,f179]) ).
fof(f2382,plain,
( sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)) = cast_to_el_of_lattice(sK1,sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)))
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2379,f180]) ).
fof(f2379,plain,
( sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)) = cast_to_el_of_lattice(sK1,sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_2
| ~ spl16_44 ),
inference(resolution,[],[f2351,f199]) ).
fof(f199,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(poset_of_lattice(X0)))
| cast_to_el_of_lattice(X0,X1) = X1
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_lattice(X0,X1) = X1
| ~ element(X1,the_carrier(poset_of_lattice(X0))) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_lattice(X0,X1) = X1
| ~ element(X1,the_carrier(poset_of_lattice(X0))) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(poset_of_lattice(X0)))
=> cast_to_el_of_lattice(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_lattice3) ).
fof(f366,plain,
! [X0] :
( element(cast_to_el_of_lattice(sK1,X0),the_carrier(sK1))
| ~ element(X0,the_carrier(poset_of_lattice(sK1))) ),
inference(subsumption_resolution,[],[f365,f178]) ).
fof(f365,plain,
! [X0] :
( ~ element(X0,the_carrier(poset_of_lattice(sK1)))
| element(cast_to_el_of_lattice(sK1,X0),the_carrier(sK1))
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f364,f180]) ).
fof(f364,plain,
! [X0] :
( ~ element(X0,the_carrier(poset_of_lattice(sK1)))
| ~ latt_str(sK1)
| element(cast_to_el_of_lattice(sK1,X0),the_carrier(sK1))
| empty_carrier(sK1) ),
inference(resolution,[],[f192,f179]) ).
fof(f192,plain,
! [X0,X1] :
( ~ lattice(X0)
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( element(cast_to_el_of_lattice(X0,X1),the_carrier(X0))
| ~ element(X1,the_carrier(poset_of_lattice(X0)))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( element(X1,the_carrier(poset_of_lattice(X0)))
& latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> element(cast_to_el_of_lattice(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lattice3) ).
fof(f4336,plain,
( related_reflexive(poset_of_lattice(sK1),sK2,sK6(poset_of_lattice(sK1),sK0,sK2))
| ~ element(sK6(poset_of_lattice(sK1),sK0,sK2),the_carrier(sK1))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(superposition,[],[f4323,f201]) ).
fof(f4323,plain,
( related_reflexive(poset_of_lattice(sK1),sK2,cast_to_el_of_LattPOSet(sK1,sK6(poset_of_lattice(sK1),sK0,sK2)))
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f4322,f178]) ).
fof(f4322,plain,
( related_reflexive(poset_of_lattice(sK1),sK2,cast_to_el_of_LattPOSet(sK1,sK6(poset_of_lattice(sK1),sK0,sK2)))
| empty_carrier(sK1)
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f4321,f179]) ).
fof(f4321,plain,
( related_reflexive(poset_of_lattice(sK1),sK2,cast_to_el_of_LattPOSet(sK1,sK6(poset_of_lattice(sK1),sK0,sK2)))
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f4320,f180]) ).
fof(f4320,plain,
( related_reflexive(poset_of_lattice(sK1),sK2,cast_to_el_of_LattPOSet(sK1,sK6(poset_of_lattice(sK1),sK0,sK2)))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f4318,f181]) ).
fof(f4318,plain,
( related_reflexive(poset_of_lattice(sK1),sK2,cast_to_el_of_LattPOSet(sK1,sK6(poset_of_lattice(sK1),sK0,sK2)))
| ~ element(sK2,the_carrier(sK1))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(superposition,[],[f2943,f201]) ).
fof(f2943,plain,
( related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,sK6(poset_of_lattice(sK1),sK0,sK2)))
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2904,f2565]) ).
fof(f2904,plain,
( ~ element(sK6(poset_of_lattice(sK1),sK0,sK2),the_carrier(sK1))
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,sK6(poset_of_lattice(sK1),sK0,sK2)))
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(resolution,[],[f2337,f2366]) ).
fof(f2366,plain,
( in(sK6(poset_of_lattice(sK1),sK0,sK2),sK0)
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2365,f1633]) ).
fof(f2365,plain,
( in(sK6(poset_of_lattice(sK1),sK0,sK2),sK0)
| ~ rel_str(poset_of_lattice(sK1))
| spl16_2 ),
inference(subsumption_resolution,[],[f2360,f393]) ).
fof(f2360,plain,
( in(sK6(poset_of_lattice(sK1),sK0,sK2),sK0)
| ~ element(sK2,the_carrier(poset_of_lattice(sK1)))
| ~ rel_str(poset_of_lattice(sK1))
| spl16_2 ),
inference(resolution,[],[f2357,f209]) ).
fof(f209,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X0,X1,X2)
| in(sK6(X0,X1,X2),X1)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f2357,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK1),sK0,sK2)
| spl16_2 ),
inference(subsumption_resolution,[],[f2356,f178]) ).
fof(f2356,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK1),sK0,sK2)
| empty_carrier(sK1)
| spl16_2 ),
inference(subsumption_resolution,[],[f2355,f179]) ).
fof(f2355,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK1),sK0,sK2)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_2 ),
inference(subsumption_resolution,[],[f2354,f180]) ).
fof(f2354,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK1),sK0,sK2)
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_2 ),
inference(subsumption_resolution,[],[f2347,f181]) ).
fof(f2347,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK1),sK0,sK2)
| ~ element(sK2,the_carrier(sK1))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_2 ),
inference(superposition,[],[f286,f201]) ).
fof(f2337,plain,
( ! [X0] :
( ~ in(X0,sK0)
| ~ element(X0,the_carrier(sK1))
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,X0)) )
| ~ spl16_1 ),
inference(subsumption_resolution,[],[f2336,f181]) ).
fof(f2336,plain,
( ! [X0] :
( related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,X0))
| ~ element(X0,the_carrier(sK1))
| ~ in(X0,sK0)
| ~ element(sK2,the_carrier(sK1)) )
| ~ spl16_1 ),
inference(resolution,[],[f281,f659]) ).
fof(f659,plain,
! [X2,X0,X1] :
( ~ latt_set_smaller(sK1,X0,X2)
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,X0),cast_to_el_of_LattPOSet(sK1,X1))
| ~ element(X1,the_carrier(sK1))
| ~ in(X1,X2)
| ~ element(X0,the_carrier(sK1)) ),
inference(subsumption_resolution,[],[f658,f178]) ).
fof(f658,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(sK1))
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,X0),cast_to_el_of_LattPOSet(sK1,X1))
| ~ element(X1,the_carrier(sK1))
| ~ in(X1,X2)
| ~ latt_set_smaller(sK1,X0,X2)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f656,f180]) ).
fof(f656,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(sK1))
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,X0),cast_to_el_of_LattPOSet(sK1,X1))
| ~ element(X1,the_carrier(sK1))
| ~ in(X1,X2)
| ~ latt_set_smaller(sK1,X0,X2)
| ~ latt_str(sK1)
| empty_carrier(sK1) ),
inference(duplicate_literal_removal,[],[f655]) ).
fof(f655,plain,
! [X2,X0,X1] :
( ~ element(X0,the_carrier(sK1))
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,X0),cast_to_el_of_LattPOSet(sK1,X1))
| ~ element(X1,the_carrier(sK1))
| ~ in(X1,X2)
| ~ element(X1,the_carrier(sK1))
| ~ latt_set_smaller(sK1,X0,X2)
| ~ element(X0,the_carrier(sK1))
| ~ latt_str(sK1)
| empty_carrier(sK1) ),
inference(resolution,[],[f478,f203]) ).
fof(f203,plain,
! [X2,X0,X1,X4] :
( below(X0,X1,X4)
| ~ in(X4,X2)
| ~ element(X4,the_carrier(X0))
| ~ latt_set_smaller(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f478,plain,
! [X0,X1] :
( ~ below(sK1,X1,X0)
| ~ element(X1,the_carrier(sK1))
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,X1),cast_to_el_of_LattPOSet(sK1,X0))
| ~ element(X0,the_carrier(sK1)) ),
inference(subsumption_resolution,[],[f477,f178]) ).
fof(f477,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK1))
| ~ element(X1,the_carrier(sK1))
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,X1),cast_to_el_of_LattPOSet(sK1,X0))
| ~ below(sK1,X1,X0)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f476,f311]) ).
fof(f311,plain,
meet_commutative(sK1),
inference(subsumption_resolution,[],[f310,f180]) ).
fof(f310,plain,
( meet_commutative(sK1)
| ~ latt_str(sK1) ),
inference(subsumption_resolution,[],[f309,f178]) ).
fof(f309,plain,
( meet_commutative(sK1)
| empty_carrier(sK1)
| ~ latt_str(sK1) ),
inference(resolution,[],[f260,f179]) ).
fof(f260,plain,
! [X0] :
( ~ lattice(X0)
| meet_commutative(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ( join_absorbing(X0)
& meet_absorbing(X0)
& meet_associative(X0)
& meet_commutative(X0)
& join_associative(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) )
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( join_absorbing(X0)
& meet_absorbing(X0)
& meet_associative(X0)
& meet_commutative(X0)
& join_associative(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) )
| ~ lattice(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( latt_str(X0)
=> ( ( lattice(X0)
& ~ empty_carrier(X0) )
=> ( join_absorbing(X0)
& meet_absorbing(X0)
& meet_associative(X0)
& meet_commutative(X0)
& join_associative(X0)
& join_commutative(X0)
& ~ empty_carrier(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f476,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK1))
| ~ element(X1,the_carrier(sK1))
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,X1),cast_to_el_of_LattPOSet(sK1,X0))
| ~ below(sK1,X1,X0)
| ~ meet_commutative(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f475,f317]) ).
fof(f317,plain,
meet_absorbing(sK1),
inference(subsumption_resolution,[],[f316,f180]) ).
fof(f316,plain,
( meet_absorbing(sK1)
| ~ latt_str(sK1) ),
inference(subsumption_resolution,[],[f315,f178]) ).
fof(f315,plain,
( meet_absorbing(sK1)
| empty_carrier(sK1)
| ~ latt_str(sK1) ),
inference(resolution,[],[f262,f179]) ).
fof(f262,plain,
! [X0] :
( ~ lattice(X0)
| meet_absorbing(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f475,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK1))
| ~ element(X1,the_carrier(sK1))
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,X1),cast_to_el_of_LattPOSet(sK1,X0))
| ~ below(sK1,X1,X0)
| ~ meet_absorbing(sK1)
| ~ meet_commutative(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f474,f320]) ).
fof(f320,plain,
join_absorbing(sK1),
inference(subsumption_resolution,[],[f319,f180]) ).
fof(f319,plain,
( join_absorbing(sK1)
| ~ latt_str(sK1) ),
inference(subsumption_resolution,[],[f318,f178]) ).
fof(f318,plain,
( join_absorbing(sK1)
| empty_carrier(sK1)
| ~ latt_str(sK1) ),
inference(resolution,[],[f263,f179]) ).
fof(f263,plain,
! [X0] :
( ~ lattice(X0)
| join_absorbing(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f474,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK1))
| ~ element(X1,the_carrier(sK1))
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,X1),cast_to_el_of_LattPOSet(sK1,X0))
| ~ below(sK1,X1,X0)
| ~ join_absorbing(sK1)
| ~ meet_absorbing(sK1)
| ~ meet_commutative(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f459,f180]) ).
fof(f459,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK1))
| ~ element(X1,the_carrier(sK1))
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,X1),cast_to_el_of_LattPOSet(sK1,X0))
| ~ below(sK1,X1,X0)
| ~ latt_str(sK1)
| ~ join_absorbing(sK1)
| ~ meet_absorbing(sK1)
| ~ meet_commutative(sK1)
| empty_carrier(sK1) ),
inference(duplicate_literal_removal,[],[f458]) ).
fof(f458,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK1))
| ~ element(X1,the_carrier(sK1))
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,X1),cast_to_el_of_LattPOSet(sK1,X0))
| ~ below(sK1,X1,X0)
| ~ element(X0,the_carrier(sK1))
| ~ element(X1,the_carrier(sK1))
| ~ latt_str(sK1)
| ~ join_absorbing(sK1)
| ~ meet_absorbing(sK1)
| ~ meet_commutative(sK1)
| empty_carrier(sK1) ),
inference(resolution,[],[f455,f213]) ).
fof(f213,plain,
! [X2,X0,X1] :
( below_refl(X0,X1,X2)
| ~ below(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ join_absorbing(X0)
| ~ meet_absorbing(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2] :
( ( ( below_refl(X0,X1,X2)
| ~ below(X0,X1,X2) )
& ( below(X0,X1,X2)
| ~ below_refl(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ join_absorbing(X0)
| ~ meet_absorbing(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( below_refl(X0,X1,X2)
<=> below(X0,X1,X2) )
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ join_absorbing(X0)
| ~ meet_absorbing(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ( below_refl(X0,X1,X2)
<=> below(X0,X1,X2) )
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ join_absorbing(X0)
| ~ meet_absorbing(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& latt_str(X0)
& join_absorbing(X0)
& meet_absorbing(X0)
& meet_commutative(X0)
& ~ empty_carrier(X0) )
=> ( below_refl(X0,X1,X2)
<=> below(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f455,plain,
! [X0,X1] :
( ~ below_refl(sK1,X0,X1)
| ~ element(X1,the_carrier(sK1))
| ~ element(X0,the_carrier(sK1))
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,X0),cast_to_el_of_LattPOSet(sK1,X1)) ),
inference(subsumption_resolution,[],[f454,f178]) ).
fof(f454,plain,
! [X0,X1] :
( ~ below_refl(sK1,X0,X1)
| ~ element(X1,the_carrier(sK1))
| ~ element(X0,the_carrier(sK1))
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,X0),cast_to_el_of_LattPOSet(sK1,X1))
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f453,f180]) ).
fof(f453,plain,
! [X0,X1] :
( ~ below_refl(sK1,X0,X1)
| ~ element(X1,the_carrier(sK1))
| ~ element(X0,the_carrier(sK1))
| ~ latt_str(sK1)
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,X0),cast_to_el_of_LattPOSet(sK1,X1))
| empty_carrier(sK1) ),
inference(resolution,[],[f185,f179]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ~ lattice(X0)
| ~ below_refl(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( below_refl(X0,X1,X2)
| ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) )
& ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
| ~ below_refl(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below_refl(X0,X1,X2)
<=> related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below_refl(X0,X1,X2)
<=> related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below_refl(X0,X1,X2)
<=> related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_lattice3) ).
fof(f281,plain,
( latt_set_smaller(sK1,sK2,sK0)
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f2477,plain,
( ~ spl16_100
| spl16_2
| ~ spl16_44
| spl16_46
| ~ spl16_52 ),
inference(avatar_split_clause,[],[f2476,f1738,f1640,f1632,f284,f2429]) ).
fof(f1738,plain,
( spl16_52
<=> reflexive_relstr(poset_of_lattice(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_52])]) ).
fof(f2476,plain,
( ~ related_reflexive(poset_of_lattice(sK1),sK2,sK6(poset_of_lattice(sK1),sK0,sK2))
| spl16_2
| ~ spl16_44
| spl16_46
| ~ spl16_52 ),
inference(subsumption_resolution,[],[f2475,f178]) ).
fof(f2475,plain,
( ~ related_reflexive(poset_of_lattice(sK1),sK2,sK6(poset_of_lattice(sK1),sK0,sK2))
| empty_carrier(sK1)
| spl16_2
| ~ spl16_44
| spl16_46
| ~ spl16_52 ),
inference(subsumption_resolution,[],[f2474,f179]) ).
fof(f2474,plain,
( ~ related_reflexive(poset_of_lattice(sK1),sK2,sK6(poset_of_lattice(sK1),sK0,sK2))
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_2
| ~ spl16_44
| spl16_46
| ~ spl16_52 ),
inference(subsumption_resolution,[],[f2473,f180]) ).
fof(f2473,plain,
( ~ related_reflexive(poset_of_lattice(sK1),sK2,sK6(poset_of_lattice(sK1),sK0,sK2))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_2
| ~ spl16_44
| spl16_46
| ~ spl16_52 ),
inference(subsumption_resolution,[],[f2472,f181]) ).
fof(f2472,plain,
( ~ related_reflexive(poset_of_lattice(sK1),sK2,sK6(poset_of_lattice(sK1),sK0,sK2))
| ~ element(sK2,the_carrier(sK1))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_2
| ~ spl16_44
| spl16_46
| ~ spl16_52 ),
inference(superposition,[],[f2402,f201]) ).
fof(f2402,plain,
( ~ related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)))
| spl16_2
| ~ spl16_44
| spl16_46
| ~ spl16_52 ),
inference(subsumption_resolution,[],[f2401,f1642]) ).
fof(f1642,plain,
( ~ empty_carrier(poset_of_lattice(sK1))
| spl16_46 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f2401,plain,
( ~ related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)))
| empty_carrier(poset_of_lattice(sK1))
| spl16_2
| ~ spl16_44
| ~ spl16_52 ),
inference(subsumption_resolution,[],[f2400,f1739]) ).
fof(f1739,plain,
( reflexive_relstr(poset_of_lattice(sK1))
| ~ spl16_52 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f2400,plain,
( ~ related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)))
| ~ reflexive_relstr(poset_of_lattice(sK1))
| empty_carrier(poset_of_lattice(sK1))
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2399,f1633]) ).
fof(f2399,plain,
( ~ related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)))
| ~ rel_str(poset_of_lattice(sK1))
| ~ reflexive_relstr(poset_of_lattice(sK1))
| empty_carrier(poset_of_lattice(sK1))
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2398,f373]) ).
fof(f2398,plain,
( ~ related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)))
| ~ element(cast_to_el_of_LattPOSet(sK1,sK2),the_carrier(poset_of_lattice(sK1)))
| ~ rel_str(poset_of_lattice(sK1))
| ~ reflexive_relstr(poset_of_lattice(sK1))
| empty_carrier(poset_of_lattice(sK1))
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2395,f2351]) ).
fof(f2395,plain,
( ~ related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)))
| ~ element(sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)),the_carrier(poset_of_lattice(sK1)))
| ~ element(cast_to_el_of_LattPOSet(sK1,sK2),the_carrier(poset_of_lattice(sK1)))
| ~ rel_str(poset_of_lattice(sK1))
| ~ reflexive_relstr(poset_of_lattice(sK1))
| empty_carrier(poset_of_lattice(sK1))
| spl16_2
| ~ spl16_44 ),
inference(resolution,[],[f2349,f215]) ).
fof(f215,plain,
! [X2,X0,X1] :
( related(X0,X1,X2)
| ~ related_reflexive(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ( ( related_reflexive(X0,X1,X2)
| ~ related(X0,X1,X2) )
& ( related(X0,X1,X2)
| ~ related_reflexive(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ( related_reflexive(X0,X1,X2)
<=> related(X0,X1,X2) )
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ( related_reflexive(X0,X1,X2)
<=> related(X0,X1,X2) )
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0,X1,X2] :
( ( element(X2,the_carrier(X0))
& element(X1,the_carrier(X0))
& rel_str(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( related_reflexive(X0,X1,X2)
<=> related(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_orders_2) ).
fof(f2349,plain,
( ~ related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)))
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2348,f1633]) ).
fof(f2348,plain,
( ~ related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)))
| ~ rel_str(poset_of_lattice(sK1))
| spl16_2 ),
inference(subsumption_resolution,[],[f2344,f373]) ).
fof(f2344,plain,
( ~ related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)))
| ~ element(cast_to_el_of_LattPOSet(sK1,sK2),the_carrier(poset_of_lattice(sK1)))
| ~ rel_str(poset_of_lattice(sK1))
| spl16_2 ),
inference(resolution,[],[f286,f210]) ).
fof(f210,plain,
! [X2,X0,X1] :
( relstr_element_smaller(X0,X1,X2)
| ~ related(X0,X2,sK6(X0,X1,X2))
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f1758,plain,
spl16_52,
inference(avatar_contradiction_clause,[],[f1757]) ).
fof(f1757,plain,
( $false
| spl16_52 ),
inference(subsumption_resolution,[],[f1756,f178]) ).
fof(f1756,plain,
( empty_carrier(sK1)
| spl16_52 ),
inference(subsumption_resolution,[],[f1755,f179]) ).
fof(f1755,plain,
( ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_52 ),
inference(subsumption_resolution,[],[f1754,f180]) ).
fof(f1754,plain,
( ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_52 ),
inference(resolution,[],[f1740,f189]) ).
fof(f189,plain,
! [X0] :
( reflexive_relstr(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f1740,plain,
( ~ reflexive_relstr(poset_of_lattice(sK1))
| spl16_52 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f1745,plain,
( ~ spl16_52
| ~ spl16_53
| spl16_1
| ~ spl16_44
| spl16_46 ),
inference(avatar_split_clause,[],[f1736,f1640,f1632,f280,f1742,f1738]) ).
fof(f1736,plain,
( ~ related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| ~ reflexive_relstr(poset_of_lattice(sK1))
| spl16_1
| ~ spl16_44
| spl16_46 ),
inference(subsumption_resolution,[],[f1735,f1642]) ).
fof(f1735,plain,
( ~ related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| ~ reflexive_relstr(poset_of_lattice(sK1))
| empty_carrier(poset_of_lattice(sK1))
| spl16_1
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f1734,f1633]) ).
fof(f1734,plain,
( ~ related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| ~ rel_str(poset_of_lattice(sK1))
| ~ reflexive_relstr(poset_of_lattice(sK1))
| empty_carrier(poset_of_lattice(sK1))
| spl16_1 ),
inference(subsumption_resolution,[],[f1733,f373]) ).
fof(f1733,plain,
( ~ related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK1,sK2),the_carrier(poset_of_lattice(sK1)))
| ~ rel_str(poset_of_lattice(sK1))
| ~ reflexive_relstr(poset_of_lattice(sK1))
| empty_carrier(poset_of_lattice(sK1))
| spl16_1 ),
inference(subsumption_resolution,[],[f1730,f422]) ).
fof(f422,plain,
( element(cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),the_carrier(poset_of_lattice(sK1)))
| spl16_1 ),
inference(resolution,[],[f416,f371]) ).
fof(f416,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| spl16_1 ),
inference(subsumption_resolution,[],[f415,f178]) ).
fof(f415,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f414,f180]) ).
fof(f414,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| ~ latt_str(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f413,f181]) ).
fof(f413,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| ~ element(sK2,the_carrier(sK1))
| ~ latt_str(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(resolution,[],[f204,f282]) ).
fof(f1730,plain,
( ~ related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| ~ element(cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),the_carrier(poset_of_lattice(sK1)))
| ~ element(cast_to_el_of_LattPOSet(sK1,sK2),the_carrier(poset_of_lattice(sK1)))
| ~ rel_str(poset_of_lattice(sK1))
| ~ reflexive_relstr(poset_of_lattice(sK1))
| empty_carrier(poset_of_lattice(sK1))
| spl16_1 ),
inference(resolution,[],[f653,f216]) ).
fof(f216,plain,
! [X2,X0,X1] :
( related_reflexive(X0,X1,X2)
| ~ related(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f653,plain,
( ~ related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| spl16_1 ),
inference(subsumption_resolution,[],[f652,f178]) ).
fof(f652,plain,
( ~ related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f651,f179]) ).
fof(f651,plain,
( ~ related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f650,f180]) ).
fof(f650,plain,
( ~ related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f649,f181]) ).
fof(f649,plain,
( ~ related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| ~ element(sK2,the_carrier(sK1))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f647,f416]) ).
fof(f647,plain,
( ~ related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK2),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)))
| ~ element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| ~ element(sK2,the_carrier(sK1))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(resolution,[],[f646,f186]) ).
fof(f186,plain,
! [X2,X0,X1] :
( below_refl(X0,X1,X2)
| ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f646,plain,
( ~ below_refl(sK1,sK2,sK5(sK1,sK2,sK0))
| spl16_1 ),
inference(subsumption_resolution,[],[f645,f181]) ).
fof(f645,plain,
( ~ element(sK2,the_carrier(sK1))
| ~ below_refl(sK1,sK2,sK5(sK1,sK2,sK0))
| spl16_1 ),
inference(subsumption_resolution,[],[f644,f416]) ).
fof(f644,plain,
( ~ element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| ~ element(sK2,the_carrier(sK1))
| ~ below_refl(sK1,sK2,sK5(sK1,sK2,sK0))
| spl16_1 ),
inference(resolution,[],[f449,f420]) ).
fof(f420,plain,
( ~ below(sK1,sK2,sK5(sK1,sK2,sK0))
| spl16_1 ),
inference(subsumption_resolution,[],[f419,f178]) ).
fof(f419,plain,
( ~ below(sK1,sK2,sK5(sK1,sK2,sK0))
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f418,f180]) ).
fof(f418,plain,
( ~ below(sK1,sK2,sK5(sK1,sK2,sK0))
| ~ latt_str(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f417,f181]) ).
fof(f417,plain,
( ~ below(sK1,sK2,sK5(sK1,sK2,sK0))
| ~ element(sK2,the_carrier(sK1))
| ~ latt_str(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(resolution,[],[f206,f282]) ).
fof(f206,plain,
! [X2,X0,X1] :
( latt_set_smaller(X0,X1,X2)
| ~ below(X0,X1,sK5(X0,X1,X2))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f449,plain,
! [X0,X1] :
( below(sK1,X0,X1)
| ~ element(X1,the_carrier(sK1))
| ~ element(X0,the_carrier(sK1))
| ~ below_refl(sK1,X0,X1) ),
inference(subsumption_resolution,[],[f448,f178]) ).
fof(f448,plain,
! [X0,X1] :
( ~ below_refl(sK1,X0,X1)
| ~ element(X1,the_carrier(sK1))
| ~ element(X0,the_carrier(sK1))
| below(sK1,X0,X1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f447,f311]) ).
fof(f447,plain,
! [X0,X1] :
( ~ below_refl(sK1,X0,X1)
| ~ element(X1,the_carrier(sK1))
| ~ element(X0,the_carrier(sK1))
| below(sK1,X0,X1)
| ~ meet_commutative(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f446,f317]) ).
fof(f446,plain,
! [X0,X1] :
( ~ below_refl(sK1,X0,X1)
| ~ element(X1,the_carrier(sK1))
| ~ element(X0,the_carrier(sK1))
| below(sK1,X0,X1)
| ~ meet_absorbing(sK1)
| ~ meet_commutative(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f445,f180]) ).
fof(f445,plain,
! [X0,X1] :
( ~ below_refl(sK1,X0,X1)
| ~ element(X1,the_carrier(sK1))
| ~ element(X0,the_carrier(sK1))
| ~ latt_str(sK1)
| below(sK1,X0,X1)
| ~ meet_absorbing(sK1)
| ~ meet_commutative(sK1)
| empty_carrier(sK1) ),
inference(resolution,[],[f212,f320]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ join_absorbing(X0)
| ~ below_refl(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ latt_str(X0)
| below(X0,X1,X2)
| ~ meet_absorbing(X0)
| ~ meet_commutative(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f1651,plain,
spl16_44,
inference(avatar_contradiction_clause,[],[f1650]) ).
fof(f1650,plain,
( $false
| spl16_44 ),
inference(subsumption_resolution,[],[f1649,f178]) ).
fof(f1649,plain,
( empty_carrier(sK1)
| spl16_44 ),
inference(subsumption_resolution,[],[f1648,f179]) ).
fof(f1648,plain,
( ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_44 ),
inference(subsumption_resolution,[],[f1647,f180]) ).
fof(f1647,plain,
( ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_44 ),
inference(resolution,[],[f1634,f198]) ).
fof(f198,plain,
! [X0] :
( rel_str(poset_of_lattice(X0))
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( rel_str(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ( rel_str(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) )
| ~ latt_str(X0)
| ~ lattice(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ( latt_str(X0)
& lattice(X0)
& ~ empty_carrier(X0) )
=> ( rel_str(poset_of_lattice(X0))
& antisymmetric_relstr(poset_of_lattice(X0))
& transitive_relstr(poset_of_lattice(X0))
& reflexive_relstr(poset_of_lattice(X0))
& strict_rel_str(poset_of_lattice(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_lattice3) ).
fof(f1634,plain,
( ~ rel_str(poset_of_lattice(sK1))
| spl16_44 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f288,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f182,f284,f280]) ).
fof(f182,plain,
( relstr_element_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2))
| latt_set_smaller(sK1,sK2,sK0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f287,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f183,f284,f280]) ).
fof(f183,plain,
( ~ relstr_element_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2))
| ~ latt_set_smaller(sK1,sK2,sK0) ),
inference(cnf_transformation,[],[f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU347+1 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 17:43:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.76 % (23301)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.60/0.76 % (23303)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.60/0.76 % (23304)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.60/0.76 % (23305)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.60/0.76 % (23306)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.60/0.76 % (23307)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.60/0.76 % (23302)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.60/0.76 % (23308)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.60/0.76 % (23308)Refutation not found, incomplete strategy% (23308)------------------------------
% 0.60/0.76 % (23308)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (23308)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (23308)Memory used [KB]: 1076
% 0.60/0.76 % (23308)Time elapsed: 0.003 s
% 0.60/0.76 % (23306)Refutation not found, incomplete strategy% (23306)------------------------------
% 0.60/0.76 % (23306)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (23306)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (23306)Memory used [KB]: 1128
% 0.60/0.76 % (23306)Time elapsed: 0.004 s
% 0.60/0.76 % (23306)Instructions burned: 4 (million)
% 0.60/0.76 % (23308)Instructions burned: 3 (million)
% 0.60/0.76 % (23304)Refutation not found, incomplete strategy% (23304)------------------------------
% 0.60/0.76 % (23304)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (23306)------------------------------
% 0.60/0.76 % (23306)------------------------------
% 0.60/0.76 % (23308)------------------------------
% 0.60/0.76 % (23308)------------------------------
% 0.60/0.76 % (23304)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (23304)Memory used [KB]: 1127
% 0.60/0.76 % (23304)Time elapsed: 0.004 s
% 0.60/0.76 % (23304)Instructions burned: 4 (million)
% 0.60/0.76 % (23304)------------------------------
% 0.60/0.76 % (23304)------------------------------
% 0.60/0.77 % (23309)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.60/0.77 % (23311)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.60/0.77 % (23310)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.60/0.77 % (23301)Instruction limit reached!
% 0.60/0.77 % (23301)------------------------------
% 0.60/0.77 % (23301)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (23301)Termination reason: Unknown
% 0.60/0.77 % (23301)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (23301)Memory used [KB]: 1303
% 0.60/0.77 % (23301)Time elapsed: 0.012 s
% 0.60/0.77 % (23301)Instructions burned: 36 (million)
% 0.60/0.77 % (23301)------------------------------
% 0.60/0.77 % (23301)------------------------------
% 0.60/0.77 % (23312)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2995ds/52Mi)
% 0.60/0.78 % (23305)Instruction limit reached!
% 0.60/0.78 % (23305)------------------------------
% 0.60/0.78 % (23305)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (23305)Termination reason: Unknown
% 0.60/0.78 % (23305)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (23305)Memory used [KB]: 1624
% 0.60/0.78 % (23305)Time elapsed: 0.020 s
% 0.60/0.78 % (23305)Instructions burned: 34 (million)
% 0.60/0.78 % (23305)------------------------------
% 0.60/0.78 % (23305)------------------------------
% 0.60/0.78 % (23313)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.60/0.79 % (23313)Refutation not found, incomplete strategy% (23313)------------------------------
% 0.60/0.79 % (23313)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (23313)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (23313)Memory used [KB]: 1140
% 0.60/0.79 % (23313)Time elapsed: 0.005 s
% 0.60/0.79 % (23313)Instructions burned: 7 (million)
% 0.60/0.79 % (23313)------------------------------
% 0.60/0.79 % (23313)------------------------------
% 0.60/0.79 % (23312)Instruction limit reached!
% 0.60/0.79 % (23312)------------------------------
% 0.60/0.79 % (23312)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (23312)Termination reason: Unknown
% 0.60/0.79 % (23312)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (23312)Memory used [KB]: 1656
% 0.60/0.79 % (23312)Time elapsed: 0.017 s
% 0.60/0.79 % (23312)Instructions burned: 53 (million)
% 0.60/0.79 % (23312)------------------------------
% 0.60/0.79 % (23312)------------------------------
% 0.60/0.79 % (23315)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.60/0.79 % (23310)Instruction limit reached!
% 0.60/0.79 % (23310)------------------------------
% 0.60/0.79 % (23310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (23310)Termination reason: Unknown
% 0.60/0.79 % (23310)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (23310)Memory used [KB]: 1667
% 0.60/0.79 % (23310)Time elapsed: 0.027 s
% 0.60/0.79 % (23310)Instructions burned: 50 (million)
% 0.60/0.79 % (23310)------------------------------
% 0.60/0.79 % (23310)------------------------------
% 0.60/0.79 % (23302)Instruction limit reached!
% 0.60/0.79 % (23302)------------------------------
% 0.60/0.79 % (23302)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (23302)Termination reason: Unknown
% 0.60/0.79 % (23314)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.60/0.79 % (23302)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (23302)Memory used [KB]: 1752
% 0.60/0.79 % (23302)Time elapsed: 0.034 s
% 0.60/0.79 % (23302)Instructions burned: 52 (million)
% 0.60/0.79 % (23302)------------------------------
% 0.60/0.79 % (23302)------------------------------
% 0.60/0.79 % (23309)Instruction limit reached!
% 0.60/0.79 % (23309)------------------------------
% 0.60/0.79 % (23309)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (23309)Termination reason: Unknown
% 0.60/0.79 % (23309)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (23309)Memory used [KB]: 2456
% 0.60/0.79 % (23309)Time elapsed: 0.028 s
% 0.60/0.79 % (23309)Instructions burned: 56 (million)
% 0.60/0.79 % (23309)------------------------------
% 0.60/0.79 % (23309)------------------------------
% 0.60/0.80 % (23317)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.60/0.80 % (23318)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.60/0.80 % (23316)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.60/0.80 % (23303)Instruction limit reached!
% 0.60/0.80 % (23303)------------------------------
% 0.60/0.80 % (23303)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (23303)Termination reason: Unknown
% 0.60/0.80 % (23303)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (23303)Memory used [KB]: 1784
% 0.60/0.80 % (23303)Time elapsed: 0.045 s
% 0.60/0.80 % (23303)Instructions burned: 79 (million)
% 0.60/0.80 % (23303)------------------------------
% 0.60/0.80 % (23303)------------------------------
% 0.60/0.81 % (23307)Instruction limit reached!
% 0.60/0.81 % (23307)------------------------------
% 0.60/0.81 % (23307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (23307)Termination reason: Unknown
% 0.60/0.81 % (23307)Termination phase: Saturation
% 0.60/0.81
% 0.60/0.81 % (23307)Memory used [KB]: 2237
% 0.60/0.81 % (23307)Time elapsed: 0.049 s
% 0.60/0.81 % (23307)Instructions burned: 83 (million)
% 0.60/0.81 % (23307)------------------------------
% 0.60/0.81 % (23307)------------------------------
% 0.60/0.81 % (23320)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.60/0.81 % (23319)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.60/0.81 % (23314)Instruction limit reached!
% 0.60/0.81 % (23314)------------------------------
% 0.60/0.81 % (23314)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (23314)Termination reason: Unknown
% 0.60/0.81 % (23314)Termination phase: Saturation
% 0.60/0.81
% 0.60/0.81 % (23314)Memory used [KB]: 1757
% 0.60/0.81 % (23314)Time elapsed: 0.024 s
% 0.60/0.81 % (23314)Instructions burned: 42 (million)
% 0.60/0.81 % (23314)------------------------------
% 0.60/0.81 % (23314)------------------------------
% 0.89/0.82 % (23321)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.89/0.83 % (23320)Instruction limit reached!
% 0.89/0.83 % (23320)------------------------------
% 0.89/0.83 % (23320)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.83 % (23320)Termination reason: Unknown
% 0.89/0.83 % (23320)Termination phase: Saturation
% 0.89/0.83
% 0.89/0.83 % (23320)Memory used [KB]: 1480
% 0.89/0.83 % (23320)Time elapsed: 0.021 s
% 0.89/0.83 % (23320)Instructions burned: 32 (million)
% 0.89/0.83 % (23320)------------------------------
% 0.89/0.83 % (23320)------------------------------
% 0.89/0.84 % (23317)Instruction limit reached!
% 0.89/0.84 % (23317)------------------------------
% 0.89/0.84 % (23317)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.84 % (23317)Termination reason: Unknown
% 0.89/0.84 % (23317)Termination phase: Saturation
% 0.89/0.84
% 0.89/0.84 % (23317)Memory used [KB]: 1855
% 0.89/0.84 % (23317)Time elapsed: 0.048 s
% 0.89/0.84 % (23317)Instructions burned: 147 (million)
% 0.89/0.84 % (23317)------------------------------
% 0.89/0.84 % (23317)------------------------------
% 0.89/0.85 % (23322)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.89/0.85 % (23319)Instruction limit reached!
% 0.89/0.85 % (23319)------------------------------
% 0.89/0.85 % (23319)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.85 % (23319)Termination reason: Unknown
% 0.89/0.85 % (23319)Termination phase: Saturation
% 0.89/0.85
% 0.89/0.85 % (23319)Memory used [KB]: 2564
% 0.89/0.85 % (23319)Time elapsed: 0.033 s
% 0.89/0.85 % (23319)Instructions burned: 63 (million)
% 0.89/0.85 % (23319)------------------------------
% 0.89/0.85 % (23319)------------------------------
% 0.89/0.85 % (23318)Instruction limit reached!
% 0.89/0.85 % (23318)------------------------------
% 0.89/0.85 % (23318)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.85 % (23318)Termination reason: Unknown
% 0.89/0.85 % (23318)Termination phase: Saturation
% 0.89/0.85
% 0.89/0.85 % (23318)Memory used [KB]: 1882
% 0.89/0.85 % (23318)Time elapsed: 0.053 s
% 0.89/0.85 % (23318)Instructions burned: 93 (million)
% 0.89/0.85 % (23318)------------------------------
% 0.89/0.85 % (23318)------------------------------
% 0.89/0.85 % (23323)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 0.89/0.85 % (23324)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 0.89/0.85 % (23325)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2995ds/102Mi)
% 0.89/0.85 % (23311)Instruction limit reached!
% 0.89/0.85 % (23311)------------------------------
% 0.89/0.85 % (23311)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.85 % (23311)Termination reason: Unknown
% 0.89/0.85 % (23311)Termination phase: Saturation
% 0.89/0.85
% 0.89/0.85 % (23311)Memory used [KB]: 1493
% 0.89/0.85 % (23311)Time elapsed: 0.089 s
% 0.89/0.85 % (23311)Instructions burned: 209 (million)
% 0.89/0.85 % (23311)------------------------------
% 0.89/0.85 % (23311)------------------------------
% 0.89/0.86 % (23323)Refutation not found, incomplete strategy% (23323)------------------------------
% 0.89/0.86 % (23323)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.89/0.86 % (23323)Termination reason: Refutation not found, incomplete strategy
% 0.89/0.86
% 0.89/0.86 % (23323)Memory used [KB]: 1170
% 0.89/0.86 % (23323)Time elapsed: 0.010 s
% 0.89/0.86 % (23323)Instructions burned: 17 (million)
% 0.89/0.86 % (23323)------------------------------
% 0.89/0.86 % (23323)------------------------------
% 1.16/0.86 % (23326)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2995ds/35Mi)
% 1.16/0.86 % (23327)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2995ds/87Mi)
% 1.16/0.86 % (23322)Instruction limit reached!
% 1.16/0.86 % (23322)------------------------------
% 1.16/0.86 % (23322)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.86 % (23322)Termination reason: Unknown
% 1.16/0.86 % (23322)Termination phase: Saturation
% 1.16/0.86
% 1.16/0.86 % (23322)Memory used [KB]: 2309
% 1.16/0.86 % (23322)Time elapsed: 0.042 s
% 1.16/0.86 % (23322)Instructions burned: 57 (million)
% 1.16/0.86 % (23322)------------------------------
% 1.16/0.86 % (23322)------------------------------
% 1.16/0.87 % (23328)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2995ds/109Mi)
% 1.16/0.87 % (23316)Instruction limit reached!
% 1.16/0.87 % (23316)------------------------------
% 1.16/0.87 % (23316)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.87 % (23316)Termination reason: Unknown
% 1.16/0.87 % (23316)Termination phase: Saturation
% 1.16/0.87
% 1.16/0.87 % (23316)Memory used [KB]: 2080
% 1.16/0.87 % (23316)Time elapsed: 0.069 s
% 1.16/0.87 % (23316)Instructions burned: 117 (million)
% 1.16/0.87 % (23316)------------------------------
% 1.16/0.87 % (23316)------------------------------
% 1.16/0.87 % (23329)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2995ds/161Mi)
% 1.16/0.88 % (23329)Refutation not found, incomplete strategy% (23329)------------------------------
% 1.16/0.88 % (23329)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.88 % (23329)Termination reason: Refutation not found, incomplete strategy
% 1.16/0.88
% 1.16/0.88 % (23329)Memory used [KB]: 1150
% 1.16/0.88 % (23329)Time elapsed: 0.004 s
% 1.16/0.88 % (23329)Instructions burned: 5 (million)
% 1.16/0.88 % (23329)------------------------------
% 1.16/0.88 % (23329)------------------------------
% 1.16/0.88 % (23324)Instruction limit reached!
% 1.16/0.88 % (23324)------------------------------
% 1.16/0.88 % (23324)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.88 % (23324)Termination reason: Unknown
% 1.16/0.88 % (23324)Termination phase: Saturation
% 1.16/0.88
% 1.16/0.88 % (23324)Memory used [KB]: 2156
% 1.16/0.88 % (23324)Time elapsed: 0.030 s
% 1.16/0.88 % (23324)Instructions burned: 47 (million)
% 1.16/0.88 % (23324)------------------------------
% 1.16/0.88 % (23324)------------------------------
% 1.16/0.88 % (23326)Instruction limit reached!
% 1.16/0.88 % (23326)------------------------------
% 1.16/0.88 % (23326)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.88 % (23326)Termination reason: Unknown
% 1.16/0.88 % (23326)Termination phase: Saturation
% 1.16/0.88
% 1.16/0.88 % (23326)Memory used [KB]: 1365
% 1.16/0.88 % (23326)Time elapsed: 0.022 s
% 1.16/0.88 % (23326)Instructions burned: 35 (million)
% 1.16/0.88 % (23326)------------------------------
% 1.16/0.88 % (23326)------------------------------
% 1.16/0.88 % (23330)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2995ds/69Mi)
% 1.16/0.88 % (23332)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2994ds/360Mi)
% 1.16/0.89 % (23331)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2994ds/40Mi)
% 1.16/0.90 % (23327)Instruction limit reached!
% 1.16/0.90 % (23327)------------------------------
% 1.16/0.90 % (23327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.90 % (23325)Instruction limit reached!
% 1.16/0.90 % (23325)------------------------------
% 1.16/0.90 % (23325)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.90 % (23325)Termination reason: Unknown
% 1.16/0.90 % (23325)Termination phase: Saturation
% 1.16/0.90
% 1.16/0.90 % (23325)Memory used [KB]: 1907
% 1.16/0.90 % (23325)Time elapsed: 0.048 s
% 1.16/0.90 % (23325)Instructions burned: 102 (million)
% 1.16/0.90 % (23325)------------------------------
% 1.16/0.90 % (23325)------------------------------
% 1.16/0.90 % (23327)Termination reason: Unknown
% 1.16/0.90 % (23327)Termination phase: Saturation
% 1.16/0.90
% 1.16/0.90 % (23327)Memory used [KB]: 2481
% 1.16/0.90 % (23327)Time elapsed: 0.038 s
% 1.16/0.90 % (23327)Instructions burned: 87 (million)
% 1.16/0.90 % (23327)------------------------------
% 1.16/0.90 % (23327)------------------------------
% 1.16/0.90 % (23334)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2994ds/80Mi)
% 1.16/0.90 % (23328)Instruction limit reached!
% 1.16/0.90 % (23328)------------------------------
% 1.16/0.90 % (23328)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.90 % (23333)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2994ds/161Mi)
% 1.16/0.90 % (23328)Termination reason: Unknown
% 1.16/0.90 % (23328)Termination phase: Saturation
% 1.16/0.90
% 1.16/0.90 % (23328)Memory used [KB]: 2436
% 1.16/0.90 % (23328)Time elapsed: 0.037 s
% 1.16/0.90 % (23328)Instructions burned: 111 (million)
% 1.16/0.90 % (23328)------------------------------
% 1.16/0.90 % (23328)------------------------------
% 1.16/0.90 % (23334)Refutation not found, incomplete strategy% (23334)------------------------------
% 1.16/0.90 % (23334)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.90 % (23334)Termination reason: Refutation not found, incomplete strategy
% 1.16/0.90
% 1.16/0.90 % (23334)Memory used [KB]: 1060
% 1.16/0.90 % (23334)Time elapsed: 0.004 s
% 1.16/0.90 % (23334)Instructions burned: 4 (million)
% 1.16/0.90 % (23334)------------------------------
% 1.16/0.90 % (23334)------------------------------
% 1.16/0.90 % (23335)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2994ds/37Mi)
% 1.16/0.90 % (23333)Refutation not found, incomplete strategy% (23333)------------------------------
% 1.16/0.90 % (23333)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.90 % (23333)Termination reason: Refutation not found, incomplete strategy
% 1.16/0.90
% 1.16/0.90 % (23333)Memory used [KB]: 1146
% 1.16/0.90 % (23333)Time elapsed: 0.005 s
% 1.16/0.90 % (23333)Instructions burned: 6 (million)
% 1.16/0.90 % (23333)------------------------------
% 1.16/0.90 % (23333)------------------------------
% 1.16/0.91 % (23337)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on theBenchmark for (2994ds/47Mi)
% 1.16/0.91 % (23331)Instruction limit reached!
% 1.16/0.91 % (23331)------------------------------
% 1.16/0.91 % (23331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.91 % (23331)Termination reason: Unknown
% 1.16/0.91 % (23331)Termination phase: Saturation
% 1.16/0.91
% 1.16/0.91 % (23331)Memory used [KB]: 1675
% 1.16/0.91 % (23331)Time elapsed: 0.025 s
% 1.16/0.91 % (23331)Instructions burned: 40 (million)
% 1.16/0.91 % (23331)------------------------------
% 1.16/0.91 % (23331)------------------------------
% 1.16/0.91 % (23336)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2994ds/55Mi)
% 1.16/0.91 % (23315)Instruction limit reached!
% 1.16/0.91 % (23315)------------------------------
% 1.16/0.91 % (23315)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.91 % (23315)Termination reason: Unknown
% 1.16/0.91 % (23315)Termination phase: Saturation
% 1.16/0.91
% 1.16/0.91 % (23315)Memory used [KB]: 2369
% 1.16/0.91 % (23315)Time elapsed: 0.122 s
% 1.16/0.91 % (23315)Instructions burned: 244 (million)
% 1.16/0.91 % (23315)------------------------------
% 1.16/0.91 % (23315)------------------------------
% 1.16/0.92 % (23339)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on theBenchmark for (2994ds/132Mi)
% 1.16/0.92 % (23335)Instruction limit reached!
% 1.16/0.92 % (23335)------------------------------
% 1.16/0.92 % (23335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.92 % (23335)Termination reason: Unknown
% 1.16/0.92 % (23335)Termination phase: Saturation
% 1.16/0.92
% 1.16/0.92 % (23335)Memory used [KB]: 1886
% 1.16/0.92 % (23335)Time elapsed: 0.014 s
% 1.16/0.92 % (23335)Instructions burned: 38 (million)
% 1.16/0.92 % (23335)------------------------------
% 1.16/0.92 % (23335)------------------------------
% 1.16/0.92 % (23338)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on theBenchmark for (2994ds/32Mi)
% 1.16/0.92 % (23330)Instruction limit reached!
% 1.16/0.92 % (23330)------------------------------
% 1.16/0.92 % (23330)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.92 % (23330)Termination reason: Unknown
% 1.16/0.92 % (23330)Termination phase: Saturation
% 1.16/0.92
% 1.16/0.92 % (23330)Memory used [KB]: 1833
% 1.16/0.92 % (23330)Time elapsed: 0.038 s
% 1.16/0.92 % (23330)Instructions burned: 69 (million)
% 1.16/0.92 % (23330)------------------------------
% 1.16/0.92 % (23330)------------------------------
% 1.16/0.92 % (23340)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on theBenchmark for (2994ds/54Mi)
% 1.16/0.92 % (23340)Refutation not found, incomplete strategy% (23340)------------------------------
% 1.16/0.92 % (23340)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.92 % (23340)Termination reason: Refutation not found, incomplete strategy
% 1.16/0.92
% 1.16/0.92 % (23340)Memory used [KB]: 1134
% 1.16/0.92 % (23340)Time elapsed: 0.002 s
% 1.16/0.92 % (23340)Instructions burned: 5 (million)
% 1.16/0.92 % (23340)------------------------------
% 1.16/0.92 % (23340)------------------------------
% 1.16/0.92 % (23342)lrs+11_1:32_sil=2000:sp=occurrence:lsd=20:rp=on:i=119:sd=1:nm=0:av=off:ss=included:nwc=10.0:flr=on_0 on theBenchmark for (2994ds/119Mi)
% 1.16/0.92 % (23341)lrs+1011_1:2_to=lpo:drc=off:sil=2000:sp=const_min:urr=on:lcm=predicate:nwc=16.7073:updr=off:newcnf=on:i=82:av=off:rawr=on:ss=included:st=5.0:erd=off:flr=on_0 on theBenchmark for (2994ds/82Mi)
% 1.16/0.93 % (23338)Instruction limit reached!
% 1.16/0.93 % (23338)------------------------------
% 1.16/0.93 % (23338)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.16/0.93 % (23338)Termination reason: Unknown
% 1.16/0.93 % (23338)Termination phase: Saturation
% 1.16/0.93
% 1.16/0.93 % (23338)Memory used [KB]: 1479
% 1.16/0.93 % (23338)Time elapsed: 0.043 s
% 1.16/0.93 % (23338)Instructions burned: 33 (million)
% 1.16/0.93 % (23338)------------------------------
% 1.16/0.93 % (23338)------------------------------
% 1.68/0.94 % (23337)Instruction limit reached!
% 1.68/0.94 % (23337)------------------------------
% 1.68/0.94 % (23337)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.68/0.94 % (23337)Termination reason: Unknown
% 1.68/0.94 % (23337)Termination phase: Saturation
% 1.68/0.94
% 1.68/0.94 % (23337)Memory used [KB]: 2093
% 1.68/0.94 % (23337)Time elapsed: 0.030 s
% 1.68/0.94 % (23337)Instructions burned: 48 (million)
% 1.68/0.94 % (23337)------------------------------
% 1.68/0.94 % (23337)------------------------------
% 1.68/0.94 % (23336)Instruction limit reached!
% 1.68/0.94 % (23336)------------------------------
% 1.68/0.94 % (23336)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.68/0.94 % (23336)Termination reason: Unknown
% 1.68/0.94 % (23336)Termination phase: Saturation
% 1.68/0.94
% 1.68/0.94 % (23336)Memory used [KB]: 1563
% 1.68/0.94 % (23336)Time elapsed: 0.053 s
% 1.68/0.94 % (23336)Instructions burned: 55 (million)
% 1.68/0.94 % (23336)------------------------------
% 1.68/0.94 % (23336)------------------------------
% 1.68/0.94 % (23343)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=177:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2994ds/177Mi)
% 1.68/0.94 % (23344)lrs+1002_263:262144_sfv=off:to=lpo:drc=encompass:sil=2000:tgt=full:fde=none:bsd=on:sp=const_frequency:spb=units:fd=preordered:nwc=12.504039574721643:lwlo=on:i=117:awrs=converge:awrsf=1360:bsdmm=3:bd=off:nm=11:fsd=on:amm=off:uhcvi=on:afr=on:rawr=on:fsdmm=1:updr=off:sac=on:fdi=16_0 on theBenchmark for (2994ds/117Mi)
% 1.68/0.94 % (23343)Refutation not found, incomplete strategy% (23343)------------------------------
% 1.68/0.94 % (23343)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.68/0.94 % (23343)Termination reason: Refutation not found, incomplete strategy
% 1.68/0.94
% 1.68/0.94 % (23343)Memory used [KB]: 1144
% 1.68/0.94 % (23343)Time elapsed: 0.029 s
% 1.68/0.94 % (23343)Instructions burned: 6 (million)
% 1.68/0.94 % (23345)dis+1011_1:128_sil=2000:plsq=on:sp=frequency:plsql=on:nicw=on:i=49:kws=precedence:bd=off:fsr=off:ss=axioms:sgt=64:sd=3_0 on theBenchmark for (2994ds/49Mi)
% 1.68/0.94 % (23343)------------------------------
% 1.68/0.94 % (23343)------------------------------
% 1.68/0.95 % (23346)lrs-1011_8:1_sil=2000:spb=goal:urr=on:sac=on:i=51:afp=10000:fsr=off:ss=axioms:avsq=on:avsqr=17819,524288:bd=off:bsd=on:fd=off:sims=off:rawr=on:alpa=true:bsr=on:aer=off_0 on theBenchmark for (2994ds/51Mi)
% 1.68/0.96 % (23341)Instruction limit reached!
% 1.68/0.96 % (23341)------------------------------
% 1.68/0.96 % (23341)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.68/0.96 % (23341)Termination reason: Unknown
% 1.68/0.96 % (23341)Termination phase: Saturation
% 1.68/0.96
% 1.68/0.96 % (23341)Memory used [KB]: 2542
% 1.68/0.96 % (23341)Time elapsed: 0.064 s
% 1.68/0.96 % (23341)Instructions burned: 83 (million)
% 1.68/0.96 % (23341)------------------------------
% 1.68/0.96 % (23341)------------------------------
% 1.68/0.96 % (23342)Instruction limit reached!
% 1.68/0.96 % (23342)------------------------------
% 1.68/0.96 % (23342)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.68/0.96 % (23342)Termination reason: Unknown
% 1.68/0.96 % (23342)Termination phase: Saturation
% 1.68/0.97
% 1.68/0.97 % (23342)Memory used [KB]: 2152
% 1.68/0.97 % (23342)Time elapsed: 0.064 s
% 1.68/0.97 % (23342)Instructions burned: 121 (million)
% 1.68/0.97 % (23342)------------------------------
% 1.68/0.97 % (23342)------------------------------
% 1.68/0.97 % (23347)lrs+1011_1:1024_sil=8000:sp=unary_first:nwc=10.0:st=3.0:s2a=on:i=149:s2at=5.0:awrs=converge:awrsf=390:ep=R:av=off:ss=axioms:s2agt=32_0 on theBenchmark for (2994ds/149Mi)
% 1.68/0.97 % (23349)lrs+11_10:1_to=lpo:drc=off:sil=4000:sp=const_min:fd=preordered:rp=on:st=3.0:s2a=on:i=56:s2at=2.0:ss=axioms:er=known:sup=off:sd=1_0 on theBenchmark for (2993ds/56Mi)
% 1.68/0.97 % (23345)Instruction limit reached!
% 1.68/0.97 % (23345)------------------------------
% 1.68/0.97 % (23345)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.68/0.97 % (23345)Termination reason: Unknown
% 1.68/0.97 % (23345)Termination phase: Saturation
% 1.68/0.97
% 1.68/0.97 % (23345)Memory used [KB]: 1606
% 1.68/0.97 % (23345)Time elapsed: 0.050 s
% 1.68/0.97 % (23345)Instructions burned: 50 (million)
% 1.68/0.97 % (23345)------------------------------
% 1.68/0.97 % (23345)------------------------------
% 1.87/0.98 % (23321)First to succeed.
% 1.87/0.98 % (23350)lrs+1011_4:1_bsr=on:sil=32000:sos=all:urr=on:br=off:s2a=on:i=289:s2at=2.0:bd=off:gsp=on:ss=axioms:sgt=8:sd=1:fsr=off_0 on theBenchmark for (2993ds/289Mi)
% 1.87/0.98 % (23346)Instruction limit reached!
% 1.87/0.98 % (23346)------------------------------
% 1.87/0.98 % (23346)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.87/0.98 % (23346)Termination reason: Unknown
% 1.87/0.98 % (23346)Termination phase: Saturation
% 1.87/0.98
% 1.87/0.98 % (23346)Memory used [KB]: 1876
% 1.87/0.98 % (23346)Time elapsed: 0.033 s
% 1.87/0.98 % (23346)Instructions burned: 51 (million)
% 1.87/0.98 % (23346)------------------------------
% 1.87/0.98 % (23346)------------------------------
% 1.87/0.98 % (23321)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23300"
% 1.87/0.98 % (23321)Refutation found. Thanks to Tanya!
% 1.87/0.98 % SZS status Theorem for theBenchmark
% 1.87/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 1.87/0.98 % (23321)------------------------------
% 1.87/0.98 % (23321)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.87/0.98 % (23321)Termination reason: Refutation
% 1.87/0.98
% 1.87/0.98 % (23321)Memory used [KB]: 2709
% 1.87/0.98 % (23321)Time elapsed: 0.162 s
% 1.87/0.98 % (23321)Instructions burned: 296 (million)
% 1.87/0.98 % (23300)Success in time 0.617 s
% 1.87/0.98 % Vampire---4.8 exiting
%------------------------------------------------------------------------------