TSTP Solution File: SEU349+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU349+1 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 03:52:10 EDT 2024
% Result : Theorem 1.93s 1.02s
% Output : Refutation 1.93s
% 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(f4765,plain,
$false,
inference(avatar_sat_refutation,[],[f287,f288,f1651,f1745,f1758,f2477,f4365,f4370,f4389,f4413,f4480,f4547,f4616,f4758]) ).
fof(f4758,plain,
( spl16_1
| ~ spl16_2
| ~ spl16_213 ),
inference(avatar_contradiction_clause,[],[f4757]) ).
fof(f4757,plain,
( $false
| spl16_1
| ~ spl16_2
| ~ spl16_213 ),
inference(subsumption_resolution,[],[f4753,f4385]) ).
fof(f4385,plain,
( in(sK5(sK1,sK2,sK0),sK0)
| spl16_1 ),
inference(subsumption_resolution,[],[f4384,f178]) ).
fof(f178,plain,
~ empty_carrier(sK1),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( ~ relstr_set_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2))
| ~ latt_element_smaller(sK1,sK2,sK0) )
& ( relstr_set_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2))
| latt_element_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_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ latt_element_smaller(X1,X2,X0) )
& ( relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| latt_element_smaller(X1,X2,X0) )
& element(X2,the_carrier(X1)) )
& latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ( ? [X2] :
( ( ~ relstr_set_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,X2))
| ~ latt_element_smaller(sK1,X2,sK0) )
& ( relstr_set_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,X2))
| latt_element_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_set_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,X2))
| ~ latt_element_smaller(sK1,X2,sK0) )
& ( relstr_set_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,X2))
| latt_element_smaller(sK1,X2,sK0) )
& element(X2,the_carrier(sK1)) )
=> ( ( ~ relstr_set_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2))
| ~ latt_element_smaller(sK1,sK2,sK0) )
& ( relstr_set_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2))
| latt_element_smaller(sK1,sK2,sK0) )
& element(sK2,the_carrier(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ latt_element_smaller(X1,X2,X0) )
& ( relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| latt_element_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_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| ~ latt_element_smaller(X1,X2,X0) )
& ( relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2))
| latt_element_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_element_smaller(X1,X2,X0)
<~> relstr_set_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_element_smaller(X1,X2,X0)
<~> relstr_set_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,[],[f65]) ).
fof(f65,negated_conjecture,
~ ! [X0,X1] :
( ( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( latt_element_smaller(X1,X2,X0)
<=> relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) ) ),
inference(negated_conjecture,[],[f64]) ).
fof(f64,conjecture,
! [X0,X1] :
( ( latt_str(X1)
& lattice(X1)
& ~ empty_carrier(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ( latt_element_smaller(X1,X2,X0)
<=> relstr_set_smaller(poset_of_lattice(X1),X0,cast_to_el_of_LattPOSet(X1,X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.UiJDpYztCj/Vampire---4.8_17388',t30_lattice3) ).
fof(f4384,plain,
( in(sK5(sK1,sK2,sK0),sK0)
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f4383,f180]) ).
fof(f180,plain,
latt_str(sK1),
inference(cnf_transformation,[],[f143]) ).
fof(f4383,plain,
( in(sK5(sK1,sK2,sK0),sK0)
| ~ latt_str(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f4374,f181]) ).
fof(f181,plain,
element(sK2,the_carrier(sK1)),
inference(cnf_transformation,[],[f143]) ).
fof(f4374,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_element_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_element_smaller(X0,X1,X2)
| ( ~ below(X0,sK5(X0,X1,X2),X1)
& in(sK5(X0,X1,X2),X2)
& element(sK5(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X4] :
( below(X0,X4,X1)
| ~ in(X4,X2)
| ~ element(X4,the_carrier(X0)) )
| ~ latt_element_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,X3,X1)
& in(X3,X2)
& element(X3,the_carrier(X0)) )
=> ( ~ below(X0,sK5(X0,X1,X2),X1)
& in(sK5(X0,X1,X2),X2)
& element(sK5(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( latt_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ below(X0,X3,X1)
& in(X3,X2)
& element(X3,the_carrier(X0)) ) )
& ( ! [X4] :
( below(X0,X4,X1)
| ~ in(X4,X2)
| ~ element(X4,the_carrier(X0)) )
| ~ latt_element_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_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ below(X0,X3,X1)
& in(X3,X2)
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( below(X0,X3,X1)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) )
| ~ latt_element_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_element_smaller(X0,X1,X2)
<=> ! [X3] :
( below(X0,X3,X1)
| ~ 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_element_smaller(X0,X1,X2)
<=> ! [X3] :
( below(X0,X3,X1)
| ~ 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_element_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X2)
=> below(X0,X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.UiJDpYztCj/Vampire---4.8_17388',d17_lattice3) ).
fof(f282,plain,
( ~ latt_element_smaller(sK1,sK2,sK0)
| spl16_1 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl16_1
<=> latt_element_smaller(sK1,sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f4753,plain,
( ~ in(sK5(sK1,sK2,sK0),sK0)
| ~ spl16_2
| ~ spl16_213 ),
inference(resolution,[],[f4546,f4434]) ).
fof(f4434,plain,
( relstr_set_smaller(poset_of_lattice(sK1),sK0,sK2)
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f4433,f178]) ).
fof(f4433,plain,
( relstr_set_smaller(poset_of_lattice(sK1),sK0,sK2)
| empty_carrier(sK1)
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f4432,f179]) ).
fof(f179,plain,
lattice(sK1),
inference(cnf_transformation,[],[f143]) ).
fof(f4432,plain,
( relstr_set_smaller(poset_of_lattice(sK1),sK0,sK2)
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f4431,f180]) ).
fof(f4431,plain,
( relstr_set_smaller(poset_of_lattice(sK1),sK0,sK2)
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f4430,f181]) ).
fof(f4430,plain,
( relstr_set_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/sandbox/tmp/tmp.UiJDpYztCj/Vampire---4.8_17388',d3_lattice3) ).
fof(f285,plain,
( relstr_set_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_set_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f4546,plain,
( ! [X0] :
( ~ relstr_set_smaller(poset_of_lattice(sK1),X0,sK2)
| ~ in(sK5(sK1,sK2,sK0),X0) )
| ~ spl16_213 ),
inference(avatar_component_clause,[],[f4545]) ).
fof(f4545,plain,
( spl16_213
<=> ! [X0] :
( ~ in(sK5(sK1,sK2,sK0),X0)
| ~ relstr_set_smaller(poset_of_lattice(sK1),X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_213])]) ).
fof(f4616,plain,
( spl16_204
| ~ spl16_102
| ~ spl16_195 ),
inference(avatar_split_clause,[],[f4615,f4238,f2539,f4402]) ).
fof(f4402,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(f4615,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(poset_of_lattice(sK1)))
| ~ spl16_102
| ~ spl16_195 ),
inference(subsumption_resolution,[],[f4614,f178]) ).
fof(f4614,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(poset_of_lattice(sK1)))
| empty_carrier(sK1)
| ~ spl16_102
| ~ spl16_195 ),
inference(subsumption_resolution,[],[f4613,f179]) ).
fof(f4613,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(poset_of_lattice(sK1)))
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_102
| ~ spl16_195 ),
inference(subsumption_resolution,[],[f4612,f180]) ).
fof(f4612,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,[],[f4602,f2540]) ).
fof(f2540,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| ~ spl16_102 ),
inference(avatar_component_clause,[],[f2539]) ).
fof(f4602,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(f4547,plain,
( ~ spl16_204
| spl16_213
| ~ spl16_44
| spl16_205 ),
inference(avatar_split_clause,[],[f4543,f4410,f1632,f4545,f4402]) ).
fof(f1632,plain,
( spl16_44
<=> rel_str(poset_of_lattice(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_44])]) ).
fof(f4410,plain,
( spl16_205
<=> related(poset_of_lattice(sK1),sK5(sK1,sK2,sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_205])]) ).
fof(f4543,plain,
( ! [X0] :
( ~ in(sK5(sK1,sK2,sK0),X0)
| ~ element(sK5(sK1,sK2,sK0),the_carrier(poset_of_lattice(sK1)))
| ~ relstr_set_smaller(poset_of_lattice(sK1),X0,sK2) )
| ~ spl16_44
| spl16_205 ),
inference(subsumption_resolution,[],[f4542,f1633]) ).
fof(f1633,plain,
( rel_str(poset_of_lattice(sK1))
| ~ spl16_44 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f4542,plain,
( ! [X0] :
( ~ in(sK5(sK1,sK2,sK0),X0)
| ~ element(sK5(sK1,sK2,sK0),the_carrier(poset_of_lattice(sK1)))
| ~ relstr_set_smaller(poset_of_lattice(sK1),X0,sK2)
| ~ rel_str(poset_of_lattice(sK1)) )
| spl16_205 ),
inference(subsumption_resolution,[],[f4532,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/sandbox/tmp/tmp.UiJDpYztCj/Vampire---4.8_17388',dt_k4_lattice3) ).
fof(f4532,plain,
( ! [X0] :
( ~ in(sK5(sK1,sK2,sK0),X0)
| ~ element(sK5(sK1,sK2,sK0),the_carrier(poset_of_lattice(sK1)))
| ~ relstr_set_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,[],[f4412,f207]) ).
fof(f207,plain,
! [X2,X0,X1,X4] :
( related(X0,X4,X2)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0))
| ~ relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_set_smaller(X0,X1,X2)
| ( ~ related(X0,sK6(X0,X1,X2),X2)
& in(sK6(X0,X1,X2),X1)
& element(sK6(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X4] :
( related(X0,X4,X2)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_set_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,X3,X2)
& in(X3,X1)
& element(X3,the_carrier(X0)) )
=> ( ~ related(X0,sK6(X0,X1,X2),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_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X3,X2)
& in(X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ! [X4] :
( related(X0,X4,X2)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(rectify,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X3,X2)
& in(X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( related(X0,X3,X2)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_set_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X3,X2)
| ~ 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_set_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X3,X2)
| ~ 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_set_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X1)
=> related(X0,X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.UiJDpYztCj/Vampire---4.8_17388',d9_lattice3) ).
fof(f4412,plain,
( ~ related(poset_of_lattice(sK1),sK5(sK1,sK2,sK0),sK2)
| spl16_205 ),
inference(avatar_component_clause,[],[f4410]) ).
fof(f4480,plain,
( spl16_195
| ~ spl16_102 ),
inference(avatar_split_clause,[],[f4476,f2539,f4238]) ).
fof(f4476,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(f4413,plain,
( ~ spl16_102
| ~ spl16_205
| spl16_53 ),
inference(avatar_split_clause,[],[f4408,f1742,f4410,f2539]) ).
fof(f1742,plain,
( spl16_53
<=> related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),cast_to_el_of_LattPOSet(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_53])]) ).
fof(f4408,plain,
( ~ related(poset_of_lattice(sK1),sK5(sK1,sK2,sK0),sK2)
| ~ element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| spl16_53 ),
inference(subsumption_resolution,[],[f4407,f178]) ).
fof(f4407,plain,
( ~ related(poset_of_lattice(sK1),sK5(sK1,sK2,sK0),sK2)
| ~ element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| empty_carrier(sK1)
| spl16_53 ),
inference(subsumption_resolution,[],[f4406,f179]) ).
fof(f4406,plain,
( ~ related(poset_of_lattice(sK1),sK5(sK1,sK2,sK0),sK2)
| ~ 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),sK5(sK1,sK2,sK0),sK2)
| ~ 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),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),sK2)
| spl16_53 ),
inference(subsumption_resolution,[],[f3949,f178]) ).
fof(f3949,plain,
( ~ related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),sK2)
| empty_carrier(sK1)
| spl16_53 ),
inference(subsumption_resolution,[],[f3948,f179]) ).
fof(f3948,plain,
( ~ related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),sK2)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_53 ),
inference(subsumption_resolution,[],[f3947,f180]) ).
fof(f3947,plain,
( ~ related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),sK2)
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_53 ),
inference(subsumption_resolution,[],[f3938,f181]) ).
fof(f3938,plain,
( ~ related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),sK2)
| ~ 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,sK5(sK1,sK2,sK0)),cast_to_el_of_LattPOSet(sK1,sK2))
| spl16_53 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f4389,plain,
( spl16_102
| spl16_1 ),
inference(avatar_split_clause,[],[f4388,f280,f2539]) ).
fof(f4388,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| spl16_1 ),
inference(subsumption_resolution,[],[f4387,f178]) ).
fof(f4387,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f4386,f180]) ).
fof(f4386,plain,
( element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| ~ latt_str(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f4373,f181]) ).
fof(f4373,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_element_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(f4370,plain,
~ spl16_46,
inference(avatar_contradiction_clause,[],[f4369]) ).
fof(f4369,plain,
( $false
| ~ spl16_46 ),
inference(subsumption_resolution,[],[f4368,f178]) ).
fof(f4368,plain,
( empty_carrier(sK1)
| ~ spl16_46 ),
inference(subsumption_resolution,[],[f4367,f179]) ).
fof(f4367,plain,
( ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_46 ),
inference(subsumption_resolution,[],[f4366,f180]) ).
fof(f4366,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/sandbox/tmp/tmp.UiJDpYztCj/Vampire---4.8_17388',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(f4365,plain,
( spl16_100
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(avatar_split_clause,[],[f4364,f1632,f284,f280,f2429]) ).
fof(f2429,plain,
( spl16_100
<=> related_reflexive(poset_of_lattice(sK1),sK6(poset_of_lattice(sK1),sK0,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_100])]) ).
fof(f4364,plain,
( related_reflexive(poset_of_lattice(sK1),sK6(poset_of_lattice(sK1),sK0,sK2),sK2)
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f4363,f178]) ).
fof(f4363,plain,
( related_reflexive(poset_of_lattice(sK1),sK6(poset_of_lattice(sK1),sK0,sK2),sK2)
| empty_carrier(sK1)
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f4362,f179]) ).
fof(f4362,plain,
( related_reflexive(poset_of_lattice(sK1),sK6(poset_of_lattice(sK1),sK0,sK2),sK2)
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f4361,f180]) ).
fof(f4361,plain,
( related_reflexive(poset_of_lattice(sK1),sK6(poset_of_lattice(sK1),sK0,sK2),sK2)
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f4334,f181]) ).
fof(f4334,plain,
( related_reflexive(poset_of_lattice(sK1),sK6(poset_of_lattice(sK1),sK0,sK2),sK2)
| ~ element(sK2,the_carrier(sK1))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(superposition,[],[f4321,f201]) ).
fof(f4321,plain,
( related_reflexive(poset_of_lattice(sK1),sK6(poset_of_lattice(sK1),sK0,sK2),cast_to_el_of_LattPOSet(sK1,sK2))
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f4320,f178]) ).
fof(f4320,plain,
( related_reflexive(poset_of_lattice(sK1),sK6(poset_of_lattice(sK1),sK0,sK2),cast_to_el_of_LattPOSet(sK1,sK2))
| empty_carrier(sK1)
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f4319,f179]) ).
fof(f4319,plain,
( related_reflexive(poset_of_lattice(sK1),sK6(poset_of_lattice(sK1),sK0,sK2),cast_to_el_of_LattPOSet(sK1,sK2))
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f4318,f180]) ).
fof(f4318,plain,
( related_reflexive(poset_of_lattice(sK1),sK6(poset_of_lattice(sK1),sK0,sK2),cast_to_el_of_LattPOSet(sK1,sK2))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f4316,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_set_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_set_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/sandbox/tmp/tmp.UiJDpYztCj/Vampire---4.8_17388',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/sandbox/tmp/tmp.UiJDpYztCj/Vampire---4.8_17388',dt_k5_lattice3) ).
fof(f4316,plain,
( related_reflexive(poset_of_lattice(sK1),sK6(poset_of_lattice(sK1),sK0,sK2),cast_to_el_of_LattPOSet(sK1,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,[],[f2943,f201]) ).
fof(f2943,plain,
( related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK6(poset_of_lattice(sK1),sK0,sK2)),cast_to_el_of_LattPOSet(sK1,sK2))
| ~ spl16_1
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2904,f2565]) ).
fof(f2904,plain,
( related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK6(poset_of_lattice(sK1),sK0,sK2)),cast_to_el_of_LattPOSet(sK1,sK2))
| ~ element(sK6(poset_of_lattice(sK1),sK0,sK2),the_carrier(sK1))
| ~ 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_set_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_set_smaller(poset_of_lattice(sK1),sK0,sK2)
| spl16_2 ),
inference(subsumption_resolution,[],[f2356,f178]) ).
fof(f2356,plain,
( ~ relstr_set_smaller(poset_of_lattice(sK1),sK0,sK2)
| empty_carrier(sK1)
| spl16_2 ),
inference(subsumption_resolution,[],[f2355,f179]) ).
fof(f2355,plain,
( ~ relstr_set_smaller(poset_of_lattice(sK1),sK0,sK2)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_2 ),
inference(subsumption_resolution,[],[f2354,f180]) ).
fof(f2354,plain,
( ~ relstr_set_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_set_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)
| related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,X0),cast_to_el_of_LattPOSet(sK1,sK2))
| ~ element(X0,the_carrier(sK1)) )
| ~ spl16_1 ),
inference(subsumption_resolution,[],[f2336,f181]) ).
fof(f2336,plain,
( ! [X0] :
( related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,X0),cast_to_el_of_LattPOSet(sK1,sK2))
| ~ element(sK2,the_carrier(sK1))
| ~ in(X0,sK0)
| ~ element(X0,the_carrier(sK1)) )
| ~ spl16_1 ),
inference(resolution,[],[f281,f659]) ).
fof(f659,plain,
! [X2,X0,X1] :
( ~ latt_element_smaller(sK1,X1,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(X0,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(X0,X2)
| ~ latt_element_smaller(sK1,X1,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(X0,X2)
| ~ latt_element_smaller(sK1,X1,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(X0,X2)
| ~ element(X0,the_carrier(sK1))
| ~ latt_element_smaller(sK1,X1,X2)
| ~ element(X1,the_carrier(sK1))
| ~ latt_str(sK1)
| empty_carrier(sK1) ),
inference(resolution,[],[f478,f203]) ).
fof(f203,plain,
! [X2,X0,X1,X4] :
( below(X0,X4,X1)
| ~ in(X4,X2)
| ~ element(X4,the_carrier(X0))
| ~ latt_element_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/sandbox/tmp/tmp.UiJDpYztCj/Vampire---4.8_17388',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/sandbox/tmp/tmp.UiJDpYztCj/Vampire---4.8_17388',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/sandbox/tmp/tmp.UiJDpYztCj/Vampire---4.8_17388',t7_lattice3) ).
fof(f281,plain,
( latt_element_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),sK6(poset_of_lattice(sK1),sK0,sK2),sK2)
| spl16_2
| ~ spl16_44
| spl16_46
| ~ spl16_52 ),
inference(subsumption_resolution,[],[f2475,f178]) ).
fof(f2475,plain,
( ~ related_reflexive(poset_of_lattice(sK1),sK6(poset_of_lattice(sK1),sK0,sK2),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),sK6(poset_of_lattice(sK1),sK0,sK2),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),sK6(poset_of_lattice(sK1),sK0,sK2),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),sK6(poset_of_lattice(sK1),sK0,sK2),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),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)),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),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)),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),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)),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),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)),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,f2351]) ).
fof(f2398,plain,
( ~ related_reflexive(poset_of_lattice(sK1),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)),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)))
| ~ 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,f373]) ).
fof(f2395,plain,
( ~ related_reflexive(poset_of_lattice(sK1),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)),cast_to_el_of_LattPOSet(sK1,sK2))
| ~ element(cast_to_el_of_LattPOSet(sK1,sK2),the_carrier(poset_of_lattice(sK1)))
| ~ 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))
| ~ 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/sandbox/tmp/tmp.UiJDpYztCj/Vampire---4.8_17388',redefinition_r3_orders_2) ).
fof(f2349,plain,
( ~ related(poset_of_lattice(sK1),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)),cast_to_el_of_LattPOSet(sK1,sK2))
| spl16_2
| ~ spl16_44 ),
inference(subsumption_resolution,[],[f2348,f1633]) ).
fof(f2348,plain,
( ~ related(poset_of_lattice(sK1),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)),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),sK6(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2)),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_set_smaller(X0,X1,X2)
| ~ related(X0,sK6(X0,X1,X2),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,sK5(sK1,sK2,sK0)),cast_to_el_of_LattPOSet(sK1,sK2))
| ~ 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,sK5(sK1,sK2,sK0)),cast_to_el_of_LattPOSet(sK1,sK2))
| ~ 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,sK5(sK1,sK2,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_1 ),
inference(subsumption_resolution,[],[f1733,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(f1733,plain,
( ~ related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),cast_to_el_of_LattPOSet(sK1,sK2))
| ~ element(cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),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,f373]) ).
fof(f1730,plain,
( ~ related(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),cast_to_el_of_LattPOSet(sK1,sK2))
| ~ element(cast_to_el_of_LattPOSet(sK1,sK2),the_carrier(poset_of_lattice(sK1)))
| ~ element(cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),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,sK5(sK1,sK2,sK0)),cast_to_el_of_LattPOSet(sK1,sK2))
| spl16_1 ),
inference(subsumption_resolution,[],[f652,f178]) ).
fof(f652,plain,
( ~ related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),cast_to_el_of_LattPOSet(sK1,sK2))
| 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,sK5(sK1,sK2,sK0)),cast_to_el_of_LattPOSet(sK1,sK2))
| ~ 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,sK5(sK1,sK2,sK0)),cast_to_el_of_LattPOSet(sK1,sK2))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f649,f416]) ).
fof(f649,plain,
( ~ related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),cast_to_el_of_LattPOSet(sK1,sK2))
| ~ element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| ~ latt_str(sK1)
| ~ lattice(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f647,f181]) ).
fof(f647,plain,
( ~ related_reflexive(poset_of_lattice(sK1),cast_to_el_of_LattPOSet(sK1,sK5(sK1,sK2,sK0)),cast_to_el_of_LattPOSet(sK1,sK2))
| ~ element(sK2,the_carrier(sK1))
| ~ element(sK5(sK1,sK2,sK0),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,sK5(sK1,sK2,sK0),sK2)
| spl16_1 ),
inference(subsumption_resolution,[],[f645,f416]) ).
fof(f645,plain,
( ~ element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| ~ below_refl(sK1,sK5(sK1,sK2,sK0),sK2)
| spl16_1 ),
inference(subsumption_resolution,[],[f644,f181]) ).
fof(f644,plain,
( ~ element(sK2,the_carrier(sK1))
| ~ element(sK5(sK1,sK2,sK0),the_carrier(sK1))
| ~ below_refl(sK1,sK5(sK1,sK2,sK0),sK2)
| spl16_1 ),
inference(resolution,[],[f449,f420]) ).
fof(f420,plain,
( ~ below(sK1,sK5(sK1,sK2,sK0),sK2)
| spl16_1 ),
inference(subsumption_resolution,[],[f419,f178]) ).
fof(f419,plain,
( ~ below(sK1,sK5(sK1,sK2,sK0),sK2)
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f418,f180]) ).
fof(f418,plain,
( ~ below(sK1,sK5(sK1,sK2,sK0),sK2)
| ~ latt_str(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(subsumption_resolution,[],[f417,f181]) ).
fof(f417,plain,
( ~ below(sK1,sK5(sK1,sK2,sK0),sK2)
| ~ element(sK2,the_carrier(sK1))
| ~ latt_str(sK1)
| empty_carrier(sK1)
| spl16_1 ),
inference(resolution,[],[f206,f282]) ).
fof(f206,plain,
! [X2,X0,X1] :
( latt_element_smaller(X0,X1,X2)
| ~ below(X0,sK5(X0,X1,X2),X1)
| ~ 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/sandbox/tmp/tmp.UiJDpYztCj/Vampire---4.8_17388',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_set_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2))
| latt_element_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_set_smaller(poset_of_lattice(sK1),sK0,cast_to_el_of_LattPOSet(sK1,sK2))
| ~ latt_element_smaller(sK1,sK2,sK0) ),
inference(cnf_transformation,[],[f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU349+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 16:11:19 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.UiJDpYztCj/Vampire---4.8_17388
% 0.60/0.79 % (17697)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79 % (17695)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 Vampire---4 for (2995ds/34Mi)
% 0.60/0.79 % (17698)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.79 % (17696)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 Vampire---4 for (2995ds/51Mi)
% 0.60/0.79 % (17699)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 Vampire---4 for (2995ds/34Mi)
% 0.60/0.79 % (17700)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.79 % (17703)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.79 % (17702)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 Vampire---4 for (2995ds/83Mi)
% 0.60/0.80 % (17703)Refutation not found, incomplete strategy% (17703)------------------------------
% 0.60/0.80 % (17703)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (17703)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (17703)Memory used [KB]: 1076
% 0.60/0.80 % (17703)Time elapsed: 0.004 s
% 0.60/0.80 % (17703)Instructions burned: 3 (million)
% 0.60/0.80 % (17703)------------------------------
% 0.60/0.80 % (17703)------------------------------
% 0.60/0.80 % (17700)Refutation not found, incomplete strategy% (17700)------------------------------
% 0.60/0.80 % (17700)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (17700)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (17700)Memory used [KB]: 1127
% 0.60/0.80 % (17700)Time elapsed: 0.004 s
% 0.60/0.80 % (17700)Instructions burned: 4 (million)
% 0.60/0.80 % (17700)------------------------------
% 0.60/0.80 % (17700)------------------------------
% 0.60/0.80 % (17698)Refutation not found, incomplete strategy% (17698)------------------------------
% 0.60/0.80 % (17698)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (17698)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (17698)Memory used [KB]: 1127
% 0.60/0.80 % (17698)Time elapsed: 0.004 s
% 0.60/0.80 % (17698)Instructions burned: 4 (million)
% 0.60/0.80 % (17698)------------------------------
% 0.60/0.80 % (17698)------------------------------
% 0.60/0.80 % (17706)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 Vampire---4 for (2995ds/55Mi)
% 0.60/0.80 % (17707)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 Vampire---4 for (2995ds/50Mi)
% 0.60/0.80 % (17708)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.81 % (17695)Instruction limit reached!
% 0.60/0.81 % (17695)------------------------------
% 0.60/0.81 % (17695)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (17695)Termination reason: Unknown
% 0.60/0.81 % (17695)Termination phase: Saturation
% 0.60/0.81
% 0.60/0.81 % (17695)Memory used [KB]: 1301
% 0.60/0.81 % (17695)Time elapsed: 0.019 s
% 0.60/0.81 % (17695)Instructions burned: 35 (million)
% 0.60/0.81 % (17695)------------------------------
% 0.60/0.81 % (17695)------------------------------
% 0.60/0.81 % (17699)Instruction limit reached!
% 0.60/0.81 % (17699)------------------------------
% 0.60/0.81 % (17699)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (17699)Termination reason: Unknown
% 0.60/0.81 % (17699)Termination phase: Saturation
% 0.60/0.81
% 0.60/0.81 % (17699)Memory used [KB]: 1619
% 0.60/0.81 % (17699)Time elapsed: 0.022 s
% 0.60/0.81 % (17699)Instructions burned: 34 (million)
% 0.60/0.81 % (17699)------------------------------
% 0.60/0.81 % (17699)------------------------------
% 0.60/0.81 % (17709)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 Vampire---4 for (2995ds/52Mi)
% 0.60/0.82 % (17710)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 Vampire---4 for (2995ds/518Mi)
% 0.60/0.82 % (17710)Refutation not found, incomplete strategy% (17710)------------------------------
% 0.60/0.82 % (17710)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (17710)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (17710)Memory used [KB]: 1140
% 0.60/0.82 % (17710)Time elapsed: 0.006 s
% 0.60/0.82 % (17710)Instructions burned: 7 (million)
% 0.60/0.82 % (17710)------------------------------
% 0.60/0.82 % (17710)------------------------------
% 0.60/0.82 % (17712)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 Vampire---4 for (2995ds/42Mi)
% 0.60/0.82 % (17696)Instruction limit reached!
% 0.60/0.82 % (17696)------------------------------
% 0.60/0.82 % (17696)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82 % (17696)Termination reason: Unknown
% 0.60/0.82 % (17696)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (17696)Memory used [KB]: 1760
% 0.60/0.82 % (17696)Time elapsed: 0.034 s
% 0.60/0.82 % (17696)Instructions burned: 51 (million)
% 0.60/0.82 % (17696)------------------------------
% 0.60/0.82 % (17696)------------------------------
% 0.60/0.83 % (17707)Instruction limit reached!
% 0.60/0.83 % (17707)------------------------------
% 0.60/0.83 % (17707)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (17707)Termination reason: Unknown
% 0.60/0.83 % (17707)Termination phase: Saturation
% 0.60/0.83
% 0.60/0.83 % (17707)Memory used [KB]: 1719
% 0.60/0.83 % (17707)Time elapsed: 0.028 s
% 0.60/0.83 % (17707)Instructions burned: 51 (million)
% 0.60/0.83 % (17707)------------------------------
% 0.60/0.83 % (17707)------------------------------
% 0.60/0.83 % (17706)Instruction limit reached!
% 0.60/0.83 % (17706)------------------------------
% 0.60/0.83 % (17706)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83 % (17706)Termination reason: Unknown
% 0.60/0.83 % (17706)Termination phase: Saturation
% 0.60/0.83
% 0.60/0.83 % (17706)Memory used [KB]: 2457
% 0.60/0.83 % (17706)Time elapsed: 0.030 s
% 0.60/0.83 % (17706)Instructions burned: 56 (million)
% 0.60/0.83 % (17706)------------------------------
% 0.60/0.83 % (17706)------------------------------
% 0.60/0.83 % (17715)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 Vampire---4 for (2995ds/243Mi)
% 0.60/0.83 % (17716)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.60/0.83 % (17717)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 Vampire---4 for (2995ds/143Mi)
% 0.81/0.84 % (17697)Instruction limit reached!
% 0.81/0.84 % (17697)------------------------------
% 0.81/0.84 % (17697)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.81/0.84 % (17697)Termination reason: Unknown
% 0.81/0.84 % (17697)Termination phase: Saturation
% 0.81/0.84
% 0.81/0.84 % (17697)Memory used [KB]: 1780
% 0.81/0.84 % (17697)Time elapsed: 0.048 s
% 0.81/0.84 % (17697)Instructions burned: 78 (million)
% 0.81/0.84 % (17697)------------------------------
% 0.81/0.84 % (17697)------------------------------
% 0.81/0.84 % (17709)Instruction limit reached!
% 0.81/0.84 % (17709)------------------------------
% 0.81/0.84 % (17709)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.81/0.84 % (17709)Termination reason: Unknown
% 0.81/0.84 % (17709)Termination phase: Saturation
% 0.81/0.84
% 0.81/0.84 % (17709)Memory used [KB]: 1641
% 0.81/0.84 % (17709)Time elapsed: 0.031 s
% 0.81/0.84 % (17709)Instructions burned: 52 (million)
% 0.81/0.84 % (17709)------------------------------
% 0.81/0.84 % (17709)------------------------------
% 0.81/0.84 % (17719)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 Vampire---4 for (2995ds/93Mi)
% 0.81/0.84 % (17702)Instruction limit reached!
% 0.81/0.84 % (17702)------------------------------
% 0.81/0.84 % (17702)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.81/0.84 % (17702)Termination reason: Unknown
% 0.81/0.84 % (17702)Termination phase: Saturation
% 0.81/0.84
% 0.81/0.84 % (17702)Memory used [KB]: 2239
% 0.81/0.84 % (17702)Time elapsed: 0.053 s
% 0.81/0.84 % (17702)Instructions burned: 83 (million)
% 0.81/0.84 % (17702)------------------------------
% 0.81/0.84 % (17702)------------------------------
% 0.81/0.85 % (17720)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 Vampire---4 for (2995ds/62Mi)
% 0.81/0.85 % (17721)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 Vampire---4 for (2995ds/32Mi)
% 0.81/0.85 % (17712)Instruction limit reached!
% 0.81/0.85 % (17712)------------------------------
% 0.81/0.85 % (17712)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.81/0.85 % (17712)Termination reason: Unknown
% 0.81/0.85 % (17712)Termination phase: Saturation
% 0.81/0.85
% 0.81/0.85 % (17712)Memory used [KB]: 1786
% 0.81/0.85 % (17712)Time elapsed: 0.028 s
% 0.81/0.85 % (17712)Instructions burned: 43 (million)
% 0.81/0.85 % (17712)------------------------------
% 0.81/0.85 % (17712)------------------------------
% 0.81/0.85 % (17722)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 Vampire---4 for (2995ds/1919Mi)
% 0.81/0.87 % (17721)Instruction limit reached!
% 0.81/0.87 % (17721)------------------------------
% 0.81/0.87 % (17721)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.81/0.87 % (17721)Termination reason: Unknown
% 0.81/0.87 % (17721)Termination phase: Saturation
% 0.81/0.87
% 0.81/0.87 % (17721)Memory used [KB]: 1480
% 0.81/0.87 % (17721)Time elapsed: 0.023 s
% 0.81/0.87 % (17721)Instructions burned: 32 (million)
% 0.81/0.87 % (17721)------------------------------
% 0.81/0.87 % (17721)------------------------------
% 0.81/0.87 % (17724)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 Vampire---4 for (2995ds/55Mi)
% 0.99/0.88 % (17720)Instruction limit reached!
% 0.99/0.88 % (17720)------------------------------
% 0.99/0.88 % (17720)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.99/0.88 % (17720)Termination reason: Unknown
% 0.99/0.88 % (17720)Termination phase: Saturation
% 0.99/0.88
% 0.99/0.88 % (17720)Memory used [KB]: 2483
% 0.99/0.88 % (17720)Time elapsed: 0.036 s
% 0.99/0.88 % (17720)Instructions burned: 62 (million)
% 0.99/0.88 % (17720)------------------------------
% 0.99/0.88 % (17720)------------------------------
% 0.99/0.88 % (17728)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 Vampire---4 for (2995ds/53Mi)
% 0.99/0.89 % (17708)Instruction limit reached!
% 0.99/0.89 % (17708)------------------------------
% 0.99/0.89 % (17708)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.99/0.89 % (17708)Termination reason: Unknown
% 0.99/0.89 % (17708)Termination phase: Saturation
% 0.99/0.89
% 0.99/0.89 % (17708)Memory used [KB]: 1493
% 0.99/0.89 % (17708)Time elapsed: 0.093 s
% 0.99/0.89 % (17708)Instructions burned: 209 (million)
% 0.99/0.89 % (17708)------------------------------
% 0.99/0.89 % (17708)------------------------------
% 0.99/0.89 % (17728)Refutation not found, incomplete strategy% (17728)------------------------------
% 0.99/0.89 % (17728)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.99/0.89 % (17728)Termination reason: Refutation not found, incomplete strategy
% 0.99/0.89
% 0.99/0.89 % (17728)Memory used [KB]: 1170
% 0.99/0.89 % (17728)Time elapsed: 0.011 s
% 0.99/0.89 % (17728)Instructions burned: 17 (million)
% 0.99/0.89 % (17728)------------------------------
% 0.99/0.89 % (17728)------------------------------
% 0.99/0.89 % (17730)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 Vampire---4 for (2994ds/46Mi)
% 0.99/0.89 % (17719)Instruction limit reached!
% 0.99/0.89 % (17719)------------------------------
% 0.99/0.89 % (17719)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.99/0.89 % (17719)Termination reason: Unknown
% 0.99/0.89 % (17719)Termination phase: Saturation
% 0.99/0.89
% 0.99/0.89 % (17719)Memory used [KB]: 1922
% 0.99/0.89 % (17719)Time elapsed: 0.054 s
% 0.99/0.89 % (17719)Instructions burned: 93 (million)
% 0.99/0.89 % (17719)------------------------------
% 0.99/0.89 % (17719)------------------------------
% 0.99/0.90 % (17731)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 Vampire---4 for (2994ds/102Mi)
% 0.99/0.90 % (17717)Instruction limit reached!
% 0.99/0.90 % (17717)------------------------------
% 0.99/0.90 % (17717)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.99/0.90 % (17717)Termination reason: Unknown
% 0.99/0.90 % (17717)Termination phase: Saturation
% 0.99/0.90
% 0.99/0.90 % (17717)Memory used [KB]: 1856
% 0.99/0.90 % (17717)Time elapsed: 0.069 s
% 0.99/0.90 % (17717)Instructions burned: 144 (million)
% 0.99/0.90 % (17717)------------------------------
% 0.99/0.90 % (17717)------------------------------
% 0.99/0.90 % (17732)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 Vampire---4 for (2994ds/35Mi)
% 0.99/0.90 % (17716)Instruction limit reached!
% 0.99/0.90 % (17716)------------------------------
% 0.99/0.90 % (17716)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.99/0.90 % (17716)Termination reason: Unknown
% 0.99/0.90 % (17716)Termination phase: Saturation
% 0.99/0.90
% 0.99/0.90 % (17716)Memory used [KB]: 2080
% 0.99/0.90 % (17716)Time elapsed: 0.074 s
% 0.99/0.90 % (17716)Instructions burned: 117 (million)
% 0.99/0.90 % (17716)------------------------------
% 0.99/0.90 % (17716)------------------------------
% 0.99/0.90 % (17734)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 0.99/0.90 % (17724)Instruction limit reached!
% 0.99/0.90 % (17724)------------------------------
% 0.99/0.90 % (17724)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.99/0.90 % (17724)Termination reason: Unknown
% 0.99/0.90 % (17724)Termination phase: Saturation
% 0.99/0.90
% 0.99/0.90 % (17724)Memory used [KB]: 2282
% 0.99/0.90 % (17724)Time elapsed: 0.032 s
% 0.99/0.90 % (17724)Instructions burned: 56 (million)
% 0.99/0.90 % (17724)------------------------------
% 0.99/0.90 % (17724)------------------------------
% 0.99/0.91 % (17735)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 Vampire---4 for (2994ds/109Mi)
% 0.99/0.91 % (17736)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 Vampire---4 for (2994ds/161Mi)
% 0.99/0.91 % (17736)Refutation not found, incomplete strategy% (17736)------------------------------
% 0.99/0.91 % (17736)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.99/0.91 % (17736)Termination reason: Refutation not found, incomplete strategy
% 0.99/0.91
% 0.99/0.91 % (17736)Memory used [KB]: 1149
% 0.99/0.91 % (17736)Time elapsed: 0.005 s
% 0.99/0.91 % (17736)Instructions burned: 5 (million)
% 0.99/0.91 % (17736)------------------------------
% 0.99/0.91 % (17736)------------------------------
% 0.99/0.91 % (17737)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 Vampire---4 for (2994ds/69Mi)
% 0.99/0.92 % (17732)Instruction limit reached!
% 0.99/0.92 % (17732)------------------------------
% 0.99/0.92 % (17732)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.99/0.92 % (17732)Termination reason: Unknown
% 0.99/0.92 % (17732)Termination phase: Saturation
% 0.99/0.92
% 0.99/0.92 % (17732)Memory used [KB]: 1273
% 0.99/0.92 % (17732)Time elapsed: 0.044 s
% 0.99/0.92 % (17732)Instructions burned: 35 (million)
% 0.99/0.92 % (17732)------------------------------
% 0.99/0.92 % (17732)------------------------------
% 0.99/0.92 % (17730)Instruction limit reached!
% 0.99/0.92 % (17730)------------------------------
% 0.99/0.92 % (17730)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.99/0.92 % (17730)Termination reason: Unknown
% 0.99/0.92 % (17730)Termination phase: Saturation
% 0.99/0.92
% 0.99/0.92 % (17730)Memory used [KB]: 2147
% 0.99/0.92 % (17730)Time elapsed: 0.029 s
% 0.99/0.92 % (17730)Instructions burned: 46 (million)
% 0.99/0.92 % (17730)------------------------------
% 0.99/0.92 % (17730)------------------------------
% 0.99/0.92 % (17740)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 Vampire---4 for (2994ds/40Mi)
% 0.99/0.92 % (17741)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 Vampire---4 for (2994ds/360Mi)
% 0.99/0.94 % (17734)Instruction limit reached!
% 0.99/0.94 % (17734)------------------------------
% 0.99/0.94 % (17734)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.99/0.94 % (17734)Termination reason: Unknown
% 0.99/0.94 % (17734)Termination phase: Saturation
% 0.99/0.94
% 0.99/0.94 % (17734)Memory used [KB]: 2505
% 0.99/0.94 % (17734)Time elapsed: 0.063 s
% 0.99/0.94 % (17734)Instructions burned: 87 (million)
% 0.99/0.94 % (17734)------------------------------
% 0.99/0.94 % (17734)------------------------------
% 1.44/0.94 % (17740)Instruction limit reached!
% 1.44/0.94 % (17740)------------------------------
% 1.44/0.94 % (17740)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.44/0.94 % (17747)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 Vampire---4 for (2994ds/161Mi)
% 1.44/0.94 % (17740)Termination reason: Unknown
% 1.44/0.95 % (17740)Termination phase: Saturation
% 1.44/0.95
% 1.44/0.95 % (17740)Memory used [KB]: 1675
% 1.44/0.95 % (17740)Time elapsed: 0.048 s
% 1.44/0.95 % (17740)Instructions burned: 40 (million)
% 1.44/0.95 % (17740)------------------------------
% 1.44/0.95 % (17740)------------------------------
% 1.44/0.95 % (17731)Instruction limit reached!
% 1.44/0.95 % (17731)------------------------------
% 1.44/0.95 % (17731)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.44/0.95 % (17731)Termination reason: Unknown
% 1.44/0.95 % (17731)Termination phase: Saturation
% 1.44/0.95
% 1.44/0.95 % (17731)Memory used [KB]: 2059
% 1.44/0.95 % (17731)Time elapsed: 0.073 s
% 1.44/0.95 % (17731)Instructions burned: 104 (million)
% 1.44/0.95 % (17731)------------------------------
% 1.44/0.95 % (17731)------------------------------
% 1.44/0.95 % (17748)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2994ds/80Mi)
% 1.44/0.95 % (17737)Instruction limit reached!
% 1.44/0.95 % (17737)------------------------------
% 1.44/0.95 % (17737)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.44/0.95 % (17737)Termination reason: Unknown
% 1.44/0.95 % (17737)Termination phase: Saturation
% 1.44/0.95
% 1.44/0.95 % (17737)Memory used [KB]: 1821
% 1.44/0.95 % (17737)Time elapsed: 0.061 s
% 1.44/0.95 % (17737)Instructions burned: 70 (million)
% 1.44/0.95 % (17737)------------------------------
% 1.44/0.95 % (17737)------------------------------
% 1.44/0.95 % (17748)Refutation not found, incomplete strategy% (17748)------------------------------
% 1.44/0.95 % (17748)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.44/0.95 % (17748)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.95
% 1.44/0.95 % (17748)Memory used [KB]: 1060
% 1.44/0.95 % (17748)Time elapsed: 0.004 s
% 1.44/0.95 % (17748)Instructions burned: 4 (million)
% 1.44/0.95 % (17748)------------------------------
% 1.44/0.95 % (17748)------------------------------
% 1.44/0.95 % (17749)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 Vampire---4 for (2994ds/37Mi)
% 1.44/0.95 % (17750)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 Vampire---4 for (2994ds/55Mi)
% 1.44/0.95 % (17751)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 Vampire---4 for (2994ds/47Mi)
% 1.60/0.97 % (17735)Instruction limit reached!
% 1.60/0.97 % (17735)------------------------------
% 1.60/0.97 % (17735)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.60/0.97 % (17735)Termination reason: Unknown
% 1.60/0.97 % (17735)Termination phase: Saturation
% 1.60/0.97
% 1.60/0.97 % (17735)Memory used [KB]: 2371
% 1.60/0.97 % (17735)Time elapsed: 0.084 s
% 1.60/0.97 % (17735)Instructions burned: 109 (million)
% 1.60/0.97 % (17735)------------------------------
% 1.60/0.97 % (17735)------------------------------
% 1.60/0.97 % (17752)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2994ds/32Mi)
% 1.60/0.97 % (17715)Instruction limit reached!
% 1.60/0.97 % (17715)------------------------------
% 1.60/0.97 % (17715)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.60/0.97 % (17715)Termination reason: Unknown
% 1.60/0.97 % (17715)Termination phase: Saturation
% 1.60/0.97
% 1.60/0.97 % (17715)Memory used [KB]: 2363
% 1.60/0.97 % (17715)Time elapsed: 0.143 s
% 1.60/0.97 % (17715)Instructions burned: 243 (million)
% 1.60/0.97 % (17715)------------------------------
% 1.60/0.97 % (17715)------------------------------
% 1.60/0.97 % (17749)Instruction limit reached!
% 1.60/0.97 % (17749)------------------------------
% 1.60/0.97 % (17749)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.60/0.97 % (17749)Termination reason: Unknown
% 1.60/0.97 % (17749)Termination phase: Saturation
% 1.60/0.97
% 1.60/0.97 % (17749)Memory used [KB]: 1705
% 1.60/0.97 % (17749)Time elapsed: 0.022 s
% 1.60/0.97 % (17749)Instructions burned: 37 (million)
% 1.60/0.97 % (17749)------------------------------
% 1.60/0.97 % (17749)------------------------------
% 1.60/0.97 % (17753)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 Vampire---4 for (2993ds/132Mi)
% 1.60/0.97 % (17754)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 Vampire---4 for (2993ds/54Mi)
% 1.60/0.98 % (17754)Refutation not found, incomplete strategy% (17754)------------------------------
% 1.60/0.98 % (17754)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.60/0.98 % (17754)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.98
% 1.60/0.98 % (17754)Memory used [KB]: 1134
% 1.60/0.98 % (17754)Time elapsed: 0.004 s
% 1.60/0.98 % (17754)Instructions burned: 5 (million)
% 1.60/0.98 % (17754)------------------------------
% 1.60/0.98 % (17754)------------------------------
% 1.60/0.98 % (17755)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 Vampire---4 for (2993ds/82Mi)
% 1.60/0.98 % (17751)Instruction limit reached!
% 1.60/0.98 % (17751)------------------------------
% 1.60/0.98 % (17751)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.60/0.98 % (17751)Termination reason: Unknown
% 1.60/0.98 % (17751)Termination phase: Saturation
% 1.60/0.98
% 1.60/0.98 % (17751)Memory used [KB]: 2092
% 1.60/0.98 % (17751)Time elapsed: 0.029 s
% 1.60/0.98 % (17751)Instructions burned: 47 (million)
% 1.60/0.98 % (17751)------------------------------
% 1.60/0.98 % (17751)------------------------------
% 1.60/0.98 % (17752)Instruction limit reached!
% 1.60/0.98 % (17752)------------------------------
% 1.60/0.98 % (17752)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.60/0.98 % (17752)Termination reason: Unknown
% 1.60/0.98 % (17752)Termination phase: Saturation
% 1.60/0.98
% 1.60/0.99 % (17752)Memory used [KB]: 1477
% 1.60/0.99 % (17752)Time elapsed: 0.018 s
% 1.60/0.99 % (17752)Instructions burned: 32 (million)
% 1.60/0.99 % (17752)------------------------------
% 1.60/0.99 % (17752)------------------------------
% 1.60/0.99 % (17756)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 Vampire---4 for (2993ds/119Mi)
% 1.60/0.99 % (17750)Instruction limit reached!
% 1.60/0.99 % (17750)------------------------------
% 1.60/0.99 % (17750)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.60/0.99 % (17750)Termination reason: Unknown
% 1.60/0.99 % (17750)Termination phase: Saturation
% 1.60/0.99
% 1.60/0.99 % (17750)Memory used [KB]: 1564
% 1.60/0.99 % (17750)Time elapsed: 0.033 s
% 1.60/0.99 % (17750)Instructions burned: 56 (million)
% 1.60/0.99 % (17750)------------------------------
% 1.60/0.99 % (17750)------------------------------
% 1.60/0.99 % (17758)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 Vampire---4 for (2993ds/177Mi)
% 1.60/0.99 % (17759)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 Vampire---4 for (2993ds/117Mi)
% 1.60/0.99 % (17758)Refutation not found, incomplete strategy% (17758)------------------------------
% 1.60/0.99 % (17758)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.60/0.99 % (17758)Termination reason: Refutation not found, incomplete strategy
% 1.60/0.99
% 1.60/0.99 % (17758)Memory used [KB]: 1143
% 1.60/0.99 % (17758)Time elapsed: 0.005 s
% 1.60/0.99 % (17758)Instructions burned: 6 (million)
% 1.60/0.99 % (17758)------------------------------
% 1.60/0.99 % (17758)------------------------------
% 1.60/1.00 % (17761)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 Vampire---4 for (2993ds/49Mi)
% 1.93/1.01 % (17747)Instruction limit reached!
% 1.93/1.01 % (17747)------------------------------
% 1.93/1.01 % (17747)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.93/1.01 % (17747)Termination reason: Unknown
% 1.93/1.01 % (17747)Termination phase: Saturation
% 1.93/1.01
% 1.93/1.01 % (17747)Memory used [KB]: 1706
% 1.93/1.01 % (17747)Time elapsed: 0.094 s
% 1.93/1.01 % (17747)Instructions burned: 161 (million)
% 1.93/1.01 % (17747)------------------------------
% 1.93/1.01 % (17747)------------------------------
% 1.93/1.02 % (17764)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 Vampire---4 for (2993ds/51Mi)
% 1.93/1.02 % (17722)First to succeed.
% 1.93/1.02 % (17755)Instruction limit reached!
% 1.93/1.02 % (17755)------------------------------
% 1.93/1.02 % (17755)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.93/1.02 % (17755)Termination reason: Unknown
% 1.93/1.02 % (17755)Termination phase: Saturation
% 1.93/1.02
% 1.93/1.02 % (17755)Memory used [KB]: 2624
% 1.93/1.02 % (17755)Time elapsed: 0.040 s
% 1.93/1.02 % (17755)Instructions burned: 83 (million)
% 1.93/1.02 % (17755)------------------------------
% 1.93/1.02 % (17755)------------------------------
% 1.93/1.02 % (17722)Refutation found. Thanks to Tanya!
% 1.93/1.02 % SZS status Theorem for Vampire---4
% 1.93/1.02 % SZS output start Proof for Vampire---4
% See solution above
% 1.93/1.02 % (17722)------------------------------
% 1.93/1.02 % (17722)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.93/1.02 % (17722)Termination reason: Refutation
% 1.93/1.02
% 1.93/1.02 % (17722)Memory used [KB]: 2709
% 1.93/1.02 % (17722)Time elapsed: 0.168 s
% 1.93/1.02 % (17722)Instructions burned: 296 (million)
% 1.93/1.02 % (17722)------------------------------
% 1.93/1.02 % (17722)------------------------------
% 1.93/1.02 % (17642)Success in time 0.649 s
% 1.93/1.02 % Vampire---4.8 exiting
%------------------------------------------------------------------------------