TSTP Solution File: LAT305+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT305+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n031.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 03:08:12 EDT 2024
% Result : Theorem 1.04s 0.89s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 21
% Syntax : Number of formulae : 143 ( 11 unt; 0 def)
% Number of atoms : 719 ( 16 equ)
% Maximal formula atoms : 11 ( 5 avg)
% Number of connectives : 1005 ( 429 ~; 467 |; 73 &)
% ( 17 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 12 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 183 ( 174 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2030,plain,
$false,
inference(avatar_sat_refutation,[],[f293,f1411,f1417,f1422,f1428,f1433,f1480,f1497,f1505,f2018,f2024,f2028]) ).
fof(f2028,plain,
( spl26_3
| ~ spl26_74 ),
inference(avatar_contradiction_clause,[],[f2027]) ).
fof(f2027,plain,
( $false
| spl26_3
| ~ spl26_74 ),
inference(subsumption_resolution,[],[f2025,f174]) ).
fof(f174,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
| ~ r2_hidden(X1,k18_filter_2(X0,X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1))
| ~ r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
| ~ r2_hidden(X1,k18_filter_2(X0,X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(X1,k18_filter_2(X0,X1)) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(k4_lattices(X0,X2,X1),k18_filter_2(X0,X1))
& r2_hidden(k4_lattices(X0,X1,X2),k18_filter_2(X0,X1))
& r2_hidden(X1,k18_filter_2(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5eiUGsorgI/Vampire---4.8_19870',t31_filter_2) ).
fof(f2025,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| spl26_3
| ~ spl26_74 ),
inference(resolution,[],[f292,f1520]) ).
fof(f1520,plain,
( ! [X0] :
( r2_hidden(X0,k18_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl26_74 ),
inference(subsumption_resolution,[],[f1519,f175]) ).
fof(f175,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f96]) ).
fof(f1519,plain,
( ! [X0] :
( r2_hidden(X0,k18_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0) )
| ~ spl26_74 ),
inference(subsumption_resolution,[],[f1518,f177]) ).
fof(f177,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f96]) ).
fof(f1518,plain,
( ! [X0] :
( r2_hidden(X0,k18_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| v3_struct_0(sK0) )
| ~ spl26_74 ),
inference(subsumption_resolution,[],[f1515,f176]) ).
fof(f176,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f96]) ).
fof(f1515,plain,
( ! [X0] :
( r2_hidden(X0,k18_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| v3_struct_0(sK0) )
| ~ spl26_74 ),
inference(duplicate_literal_removal,[],[f1514]) ).
fof(f1514,plain,
( ! [X0] :
( r2_hidden(X0,k18_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0) )
| ~ spl26_74 ),
inference(superposition,[],[f1410,f194]) ).
fof(f194,plain,
! [X0,X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5eiUGsorgI/Vampire---4.8_19870',d9_filter_2) ).
fof(f1410,plain,
( ! [X0] :
( r2_hidden(X0,a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl26_74 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f1409,plain,
( spl26_74
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_74])]) ).
fof(f292,plain,
( ~ r2_hidden(sK1,k18_filter_2(sK0,sK1))
| spl26_3 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl26_3
<=> r2_hidden(sK1,k18_filter_2(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f2024,plain,
( ~ spl26_2
| spl26_1
| ~ spl26_76 ),
inference(avatar_split_clause,[],[f2023,f1491,f282,f286]) ).
fof(f286,plain,
( spl26_2
<=> r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f282,plain,
( spl26_1
<=> r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f1491,plain,
( spl26_76
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k4_lattices(sK0,X0,X1) = k4_lattices(sK0,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_76])]) ).
fof(f2023,plain,
( ~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
| spl26_1
| ~ spl26_76 ),
inference(subsumption_resolution,[],[f2022,f174]) ).
fof(f2022,plain,
( ~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| spl26_1
| ~ spl26_76 ),
inference(subsumption_resolution,[],[f1615,f173]) ).
fof(f173,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f96]) ).
fof(f1615,plain,
( ~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| spl26_1
| ~ spl26_76 ),
inference(superposition,[],[f284,f1492]) ).
fof(f1492,plain,
( ! [X0,X1] :
( k4_lattices(sK0,X0,X1) = k4_lattices(sK0,X1,X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl26_76 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f284,plain,
( ~ r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1))
| spl26_1 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f2018,plain,
( spl26_2
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75
| ~ spl26_77 ),
inference(avatar_contradiction_clause,[],[f2017]) ).
fof(f2017,plain,
( $false
| spl26_2
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75
| ~ spl26_77 ),
inference(subsumption_resolution,[],[f2016,f173]) ).
fof(f2016,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK0))
| spl26_2
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75
| ~ spl26_77 ),
inference(subsumption_resolution,[],[f2003,f174]) ).
fof(f2003,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ m1_subset_1(sK2,u1_struct_0(sK0))
| spl26_2
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75
| ~ spl26_77 ),
inference(resolution,[],[f1887,f288]) ).
fof(f288,plain,
( ~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
| spl26_2 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f1887,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK0,X0,X1),k18_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75
| ~ spl26_77 ),
inference(subsumption_resolution,[],[f1886,f175]) ).
fof(f1886,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK0,X0,X1),k18_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0) )
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75
| ~ spl26_77 ),
inference(subsumption_resolution,[],[f1885,f177]) ).
fof(f1885,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK0,X0,X1),k18_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| v3_struct_0(sK0) )
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75
| ~ spl26_77 ),
inference(subsumption_resolution,[],[f1881,f176]) ).
fof(f1881,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK0,X0,X1),k18_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| v3_struct_0(sK0) )
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75
| ~ spl26_77 ),
inference(duplicate_literal_removal,[],[f1880]) ).
fof(f1880,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK0,X0,X1),k18_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0) )
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75
| ~ spl26_77 ),
inference(superposition,[],[f1701,f194]) ).
fof(f1701,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK0,X0,X1),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75
| ~ spl26_77 ),
inference(subsumption_resolution,[],[f1700,f175]) ).
fof(f1700,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK0,X0,X1),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0) )
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75
| ~ spl26_77 ),
inference(subsumption_resolution,[],[f1699,f1495]) ).
fof(f1495,plain,
( l1_lattices(sK0)
| ~ spl26_77 ),
inference(avatar_component_clause,[],[f1494]) ).
fof(f1494,plain,
( spl26_77
<=> l1_lattices(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_77])]) ).
fof(f1699,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK0,X0,X1),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ l1_lattices(sK0)
| v3_struct_0(sK0) )
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75 ),
inference(subsumption_resolution,[],[f1698,f1406]) ).
fof(f1406,plain,
( v6_lattices(sK0)
| ~ spl26_73 ),
inference(avatar_component_clause,[],[f1405]) ).
fof(f1405,plain,
( spl26_73
<=> v6_lattices(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_73])]) ).
fof(f1698,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK0,X0,X1),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ v6_lattices(sK0)
| ~ l1_lattices(sK0)
| v3_struct_0(sK0) )
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75 ),
inference(duplicate_literal_removal,[],[f1693]) ).
fof(f1693,plain,
( ! [X0,X1] :
( r2_hidden(k4_lattices(sK0,X0,X1),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ v6_lattices(sK0)
| ~ l1_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0) )
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75 ),
inference(resolution,[],[f1527,f198]) ).
fof(f198,plain,
! [X2,X0,X1] :
( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ v6_lattices(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k4_lattices(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.5eiUGsorgI/Vampire---4.8_19870',dt_k4_lattices) ).
fof(f1527,plain,
( ! [X0,X1] :
( ~ m1_subset_1(k4_lattices(sK0,X0,X1),u1_struct_0(sK0))
| r2_hidden(k4_lattices(sK0,X0,X1),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75 ),
inference(subsumption_resolution,[],[f1526,f175]) ).
fof(f1526,plain,
( ! [X0,X1] :
( ~ m1_subset_1(k4_lattices(sK0,X0,X1),u1_struct_0(sK0))
| r2_hidden(k4_lattices(sK0,X0,X1),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0) )
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75 ),
inference(subsumption_resolution,[],[f1525,f177]) ).
fof(f1525,plain,
( ! [X0,X1] :
( ~ m1_subset_1(k4_lattices(sK0,X0,X1),u1_struct_0(sK0))
| r2_hidden(k4_lattices(sK0,X0,X1),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0) )
| ~ spl26_72
| ~ spl26_73
| ~ spl26_75 ),
inference(subsumption_resolution,[],[f1524,f1402]) ).
fof(f1402,plain,
( v8_lattices(sK0)
| ~ spl26_72 ),
inference(avatar_component_clause,[],[f1401]) ).
fof(f1401,plain,
( spl26_72
<=> v8_lattices(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_72])]) ).
fof(f1524,plain,
( ! [X0,X1] :
( ~ m1_subset_1(k4_lattices(sK0,X0,X1),u1_struct_0(sK0))
| r2_hidden(k4_lattices(sK0,X0,X1),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v8_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0) )
| ~ spl26_73
| ~ spl26_75 ),
inference(subsumption_resolution,[],[f1523,f1406]) ).
fof(f1523,plain,
( ! [X0,X1] :
( ~ m1_subset_1(k4_lattices(sK0,X0,X1),u1_struct_0(sK0))
| r2_hidden(k4_lattices(sK0,X0,X1),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0) )
| ~ spl26_75 ),
inference(duplicate_literal_removal,[],[f1522]) ).
fof(f1522,plain,
( ! [X0,X1] :
( ~ m1_subset_1(k4_lattices(sK0,X0,X1),u1_struct_0(sK0))
| r2_hidden(k4_lattices(sK0,X0,X1),a_2_0_filter_2(sK0,X0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0) )
| ~ spl26_75 ),
inference(resolution,[],[f1416,f269]) ).
fof(f269,plain,
! [X2,X0,X1] :
( r1_lattices(X0,k4_lattices(X0,X1,X2),X1)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_lattices(X0,k4_lattices(X0,X1,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_lattices(X0,k4_lattices(X0,X1,X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( ( l3_lattices(X0)
& v8_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> r1_lattices(X0,k4_lattices(X0,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5eiUGsorgI/Vampire---4.8_19870',t23_lattices) ).
fof(f1416,plain,
( ! [X0,X1] :
( ~ r1_lattices(sK0,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) )
| ~ spl26_75 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f1415,plain,
( spl26_75
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ r1_lattices(sK0,X0,X1)
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_75])]) ).
fof(f1505,plain,
spl26_77,
inference(avatar_contradiction_clause,[],[f1504]) ).
fof(f1504,plain,
( $false
| spl26_77 ),
inference(subsumption_resolution,[],[f1503,f177]) ).
fof(f1503,plain,
( ~ l3_lattices(sK0)
| spl26_77 ),
inference(resolution,[],[f1496,f201]) ).
fof(f201,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5eiUGsorgI/Vampire---4.8_19870',dt_l3_lattices) ).
fof(f1496,plain,
( ~ l1_lattices(sK0)
| spl26_77 ),
inference(avatar_component_clause,[],[f1494]) ).
fof(f1497,plain,
( spl26_76
| ~ spl26_77
| ~ spl26_73 ),
inference(avatar_split_clause,[],[f1489,f1405,f1494,f1491]) ).
fof(f1489,plain,
( ! [X0,X1] :
( ~ l1_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| k4_lattices(sK0,X0,X1) = k4_lattices(sK0,X1,X0) )
| ~ spl26_73 ),
inference(subsumption_resolution,[],[f1435,f175]) ).
fof(f1435,plain,
( ! [X0,X1] :
( v3_struct_0(sK0)
| ~ l1_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| k4_lattices(sK0,X0,X1) = k4_lattices(sK0,X1,X0) )
| ~ spl26_73 ),
inference(resolution,[],[f1406,f190]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ v6_lattices(X0)
| v3_struct_0(X0)
| ~ l1_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l1_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> k4_lattices(X0,X1,X2) = k4_lattices(X0,X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.5eiUGsorgI/Vampire---4.8_19870',commutativity_k4_lattices) ).
fof(f1480,plain,
~ spl26_70,
inference(avatar_contradiction_clause,[],[f1437]) ).
fof(f1437,plain,
( $false
| ~ spl26_70 ),
inference(resolution,[],[f1395,f174]) ).
fof(f1395,plain,
( ! [X1] : ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ spl26_70 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1394,plain,
( spl26_70
<=> ! [X1] : ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_70])]) ).
fof(f1433,plain,
spl26_73,
inference(avatar_contradiction_clause,[],[f1432]) ).
fof(f1432,plain,
( $false
| spl26_73 ),
inference(subsumption_resolution,[],[f1431,f177]) ).
fof(f1431,plain,
( ~ l3_lattices(sK0)
| spl26_73 ),
inference(subsumption_resolution,[],[f1430,f176]) ).
fof(f1430,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl26_73 ),
inference(subsumption_resolution,[],[f1429,f175]) ).
fof(f1429,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl26_73 ),
inference(resolution,[],[f1407,f182]) ).
fof(f182,plain,
! [X0] :
( v6_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) )
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v9_lattices(X0)
& v8_lattices(X0)
& v7_lattices(X0)
& v6_lattices(X0)
& v5_lattices(X0)
& v4_lattices(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5eiUGsorgI/Vampire---4.8_19870',cc1_lattices) ).
fof(f1407,plain,
( ~ v6_lattices(sK0)
| spl26_73 ),
inference(avatar_component_clause,[],[f1405]) ).
fof(f1428,plain,
spl26_72,
inference(avatar_contradiction_clause,[],[f1427]) ).
fof(f1427,plain,
( $false
| spl26_72 ),
inference(subsumption_resolution,[],[f1426,f177]) ).
fof(f1426,plain,
( ~ l3_lattices(sK0)
| spl26_72 ),
inference(subsumption_resolution,[],[f1425,f176]) ).
fof(f1425,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl26_72 ),
inference(subsumption_resolution,[],[f1424,f175]) ).
fof(f1424,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl26_72 ),
inference(resolution,[],[f1403,f184]) ).
fof(f184,plain,
! [X0] :
( v8_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f1403,plain,
( ~ v8_lattices(sK0)
| spl26_72 ),
inference(avatar_component_clause,[],[f1401]) ).
fof(f1422,plain,
spl26_71,
inference(avatar_contradiction_clause,[],[f1421]) ).
fof(f1421,plain,
( $false
| spl26_71 ),
inference(subsumption_resolution,[],[f1420,f177]) ).
fof(f1420,plain,
( ~ l3_lattices(sK0)
| spl26_71 ),
inference(subsumption_resolution,[],[f1419,f176]) ).
fof(f1419,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl26_71 ),
inference(subsumption_resolution,[],[f1418,f175]) ).
fof(f1418,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl26_71 ),
inference(resolution,[],[f1399,f185]) ).
fof(f185,plain,
! [X0] :
( v9_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f1399,plain,
( ~ v9_lattices(sK0)
| spl26_71 ),
inference(avatar_component_clause,[],[f1397]) ).
fof(f1397,plain,
( spl26_71
<=> v9_lattices(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_71])]) ).
fof(f1417,plain,
( ~ spl26_71
| ~ spl26_72
| ~ spl26_73
| spl26_75 ),
inference(avatar_split_clause,[],[f1413,f1415,f1405,f1401,f1397]) ).
fof(f1413,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ r1_lattices(sK0,X0,X1) ),
inference(subsumption_resolution,[],[f1412,f175]) ).
fof(f1412,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ r1_lattices(sK0,X0,X1)
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1386,f177]) ).
fof(f1386,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ r1_lattices(sK0,X0,X1)
| v3_struct_0(sK0) ),
inference(duplicate_literal_removal,[],[f1385]) ).
fof(f1385,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X1))
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ r1_lattices(sK0,X0,X1)
| v3_struct_0(sK0) ),
inference(resolution,[],[f1381,f264]) ).
fof(f264,plain,
! [X2,X0,X1] :
( r3_lattices(X0,X1,X2)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r1_lattices(X0,X1,X2)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) )
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( r3_lattices(X0,X1,X2)
<=> r1_lattices(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5eiUGsorgI/Vampire---4.8_19870',redefinition_r3_lattices) ).
fof(f1381,plain,
! [X0,X1] :
( ~ r3_lattices(sK0,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X1,a_2_0_filter_2(sK0,X0)) ),
inference(subsumption_resolution,[],[f1380,f177]) ).
fof(f1380,plain,
! [X0,X1] :
( ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ r3_lattices(sK0,X1,X0)
| r2_hidden(X1,a_2_0_filter_2(sK0,X0)) ),
inference(subsumption_resolution,[],[f1379,f175]) ).
fof(f1379,plain,
! [X0,X1] :
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ r3_lattices(sK0,X1,X0)
| r2_hidden(X1,a_2_0_filter_2(sK0,X0)) ),
inference(resolution,[],[f280,f176]) ).
fof(f280,plain,
! [X2,X3,X1] :
( ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X3,X2)
| r2_hidden(X3,a_2_0_filter_2(X1,X2)) ),
inference(equality_resolution,[],[f236]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| X0 != X3
| ~ r3_lattices(X1,X3,X2)
| r2_hidden(X0,a_2_0_filter_2(X1,X2)) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(flattening,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) ) )
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( r2_hidden(X0,a_2_0_filter_2(X1,X2))
<=> ? [X3] :
( r3_lattices(X1,X3,X2)
& X0 = X3
& m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5eiUGsorgI/Vampire---4.8_19870',fraenkel_a_2_0_filter_2) ).
fof(f1411,plain,
( spl26_70
| ~ spl26_71
| ~ spl26_72
| ~ spl26_73
| spl26_74 ),
inference(avatar_split_clause,[],[f1392,f1409,f1405,f1401,f1397,f1394]) ).
fof(f1392,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X0))
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0)) ),
inference(subsumption_resolution,[],[f1391,f175]) ).
fof(f1391,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X0))
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(subsumption_resolution,[],[f1387,f177]) ).
fof(f1387,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X0))
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(duplicate_literal_removal,[],[f1384]) ).
fof(f1384,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(X0,a_2_0_filter_2(sK0,X0))
| ~ v6_lattices(sK0)
| ~ v8_lattices(sK0)
| ~ v9_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(resolution,[],[f1381,f267]) ).
fof(f267,plain,
! [X2,X0,X1] :
( r3_lattices(X0,X1,X1)
| ~ v6_lattices(X0)
| ~ v8_lattices(X0)
| ~ v9_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2] :
( r3_lattices(X0,X1,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v9_lattices(X0)
| ~ v8_lattices(X0)
| ~ v6_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X0))
& m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v9_lattices(X0)
& v8_lattices(X0)
& v6_lattices(X0)
& ~ v3_struct_0(X0) )
=> r3_lattices(X0,X1,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.5eiUGsorgI/Vampire---4.8_19870',reflexivity_r3_lattices) ).
fof(f293,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3 ),
inference(avatar_split_clause,[],[f172,f290,f286,f282]) ).
fof(f172,plain,
( ~ r2_hidden(sK1,k18_filter_2(sK0,sK1))
| ~ r2_hidden(k4_lattices(sK0,sK1,sK2),k18_filter_2(sK0,sK1))
| ~ r2_hidden(k4_lattices(sK0,sK2,sK1),k18_filter_2(sK0,sK1)) ),
inference(cnf_transformation,[],[f96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT305+1 : TPTP v8.1.2. Released v3.4.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.31 % Computer : n031.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 16:59:14 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.31 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.5eiUGsorgI/Vampire---4.8_19870
% 0.61/0.80 % (19993)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)
% 0.61/0.80 % (19990)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)
% 0.61/0.80 % (19992)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80 % (19994)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)
% 0.61/0.80 % (19991)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)
% 0.61/0.80 % (19995)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)
% 0.61/0.80 % (19996)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)
% 0.61/0.80 % (19997)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)
% 0.61/0.80 % (19993)Refutation not found, incomplete strategy% (19993)------------------------------
% 0.61/0.80 % (19993)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (19993)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80 % (19995)Refutation not found, incomplete strategy% (19995)------------------------------
% 0.61/0.80 % (19995)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (19995)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (19995)Memory used [KB]: 1128
% 0.61/0.80 % (19995)Time elapsed: 0.003 s
% 0.61/0.80 % (19995)Instructions burned: 4 (million)
% 0.61/0.80 % (19995)------------------------------
% 0.61/0.80 % (19995)------------------------------
% 0.61/0.80 % (19997)Refutation not found, incomplete strategy% (19997)------------------------------
% 0.61/0.80 % (19997)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (19997)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (19997)Memory used [KB]: 1087
% 0.61/0.80 % (19997)Time elapsed: 0.003 s
% 0.61/0.80 % (19997)Instructions burned: 3 (million)
% 0.61/0.80 % (19997)------------------------------
% 0.61/0.80 % (19997)------------------------------
% 0.61/0.80
% 0.61/0.80 % (19993)Memory used [KB]: 1055
% 0.61/0.80 % (19993)Time elapsed: 0.004 s
% 0.61/0.80 % (19993)Instructions burned: 3 (million)
% 0.61/0.80 % (19993)------------------------------
% 0.61/0.80 % (19993)------------------------------
% 0.61/0.80 % (19998)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)
% 0.61/0.80 % (20000)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)
% 0.61/0.80 % (19999)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)
% 0.61/0.81 % (19994)Instruction limit reached!
% 0.61/0.81 % (19994)------------------------------
% 0.61/0.81 % (19994)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (19994)Termination reason: Unknown
% 0.61/0.81 % (19994)Termination phase: Saturation
% 0.61/0.81
% 0.61/0.81 % (19994)Memory used [KB]: 1397
% 0.61/0.81 % (19994)Time elapsed: 0.018 s
% 0.61/0.81 % (19994)Instructions burned: 34 (million)
% 0.61/0.81 % (19994)------------------------------
% 0.61/0.81 % (19994)------------------------------
% 0.61/0.82 % (19990)Instruction limit reached!
% 0.61/0.82 % (19990)------------------------------
% 0.61/0.82 % (19990)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (19990)Termination reason: Unknown
% 0.61/0.82 % (19990)Termination phase: Saturation
% 0.61/0.82
% 0.61/0.82 % (19990)Memory used [KB]: 1332
% 0.61/0.82 % (19990)Time elapsed: 0.021 s
% 0.61/0.82 % (19990)Instructions burned: 35 (million)
% 0.61/0.82 % (19990)------------------------------
% 0.61/0.82 % (19990)------------------------------
% 0.61/0.82 % (20001)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)
% 0.61/0.82 % (20002)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 (2994ds/518Mi)
% 0.61/0.82 % (19991)Instruction limit reached!
% 0.61/0.82 % (19991)------------------------------
% 0.61/0.82 % (19991)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (19991)Termination reason: Unknown
% 0.61/0.82 % (19991)Termination phase: Saturation
% 0.61/0.82
% 0.61/0.82 % (19991)Memory used [KB]: 1616
% 0.61/0.82 % (19991)Time elapsed: 0.027 s
% 0.61/0.82 % (19991)Instructions burned: 51 (million)
% 0.61/0.82 % (19991)------------------------------
% 0.61/0.82 % (19991)------------------------------
% 0.61/0.82 % (20002)Refutation not found, incomplete strategy% (20002)------------------------------
% 0.61/0.82 % (20002)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (20002)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (20002)Memory used [KB]: 1154
% 0.61/0.82 % (20002)Time elapsed: 0.006 s
% 0.61/0.82 % (20002)Instructions burned: 8 (million)
% 0.61/0.82 % (20002)------------------------------
% 0.61/0.82 % (20002)------------------------------
% 0.61/0.83 % (20003)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 (2994ds/42Mi)
% 0.61/0.83 % (20004)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 (2994ds/243Mi)
% 0.61/0.83 % (19999)Instruction limit reached!
% 0.61/0.83 % (19999)------------------------------
% 0.61/0.83 % (19999)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (19999)Termination reason: Unknown
% 0.61/0.83 % (19999)Termination phase: Saturation
% 0.61/0.83
% 0.61/0.83 % (19999)Memory used [KB]: 1676
% 0.61/0.83 % (19999)Time elapsed: 0.027 s
% 0.61/0.83 % (19999)Instructions burned: 51 (million)
% 0.61/0.83 % (19999)------------------------------
% 0.61/0.83 % (19999)------------------------------
% 0.61/0.83 % (19998)Instruction limit reached!
% 0.61/0.83 % (19998)------------------------------
% 0.61/0.83 % (19998)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (19998)Termination reason: Unknown
% 0.61/0.83 % (19998)Termination phase: Saturation
% 0.61/0.83
% 0.61/0.83 % (19998)Memory used [KB]: 2716
% 0.61/0.83 % (19998)Time elapsed: 0.028 s
% 0.61/0.83 % (19998)Instructions burned: 56 (million)
% 0.61/0.83 % (19998)------------------------------
% 0.61/0.83 % (19998)------------------------------
% 0.61/0.83 % (20005)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 (2994ds/117Mi)
% 0.61/0.83 % (20006)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 (2994ds/143Mi)
% 0.61/0.84 % (19996)Instruction limit reached!
% 0.61/0.84 % (19996)------------------------------
% 0.61/0.84 % (19996)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84 % (19996)Termination reason: Unknown
% 0.61/0.84 % (19996)Termination phase: Saturation
% 0.61/0.84
% 0.61/0.84 % (19996)Memory used [KB]: 2429
% 0.61/0.84 % (19996)Time elapsed: 0.043 s
% 0.61/0.84 % (19996)Instructions burned: 84 (million)
% 0.61/0.84 % (19996)------------------------------
% 0.61/0.84 % (19996)------------------------------
% 0.61/0.84 % (20007)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 (2994ds/93Mi)
% 0.61/0.84 % (19992)Instruction limit reached!
% 0.61/0.84 % (19992)------------------------------
% 0.61/0.84 % (19992)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.84 % (19992)Termination reason: Unknown
% 0.61/0.84 % (19992)Termination phase: Saturation
% 0.61/0.84
% 0.61/0.84 % (19992)Memory used [KB]: 1935
% 0.61/0.84 % (19992)Time elapsed: 0.048 s
% 0.61/0.84 % (19992)Instructions burned: 79 (million)
% 0.61/0.84 % (19992)------------------------------
% 0.61/0.84 % (19992)------------------------------
% 0.61/0.85 % (20001)Instruction limit reached!
% 0.61/0.85 % (20001)------------------------------
% 0.61/0.85 % (20001)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.85 % (20001)Termination reason: Unknown
% 0.61/0.85 % (20001)Termination phase: Saturation
% 0.61/0.85
% 0.61/0.85 % (20001)Memory used [KB]: 1625
% 0.61/0.85 % (20001)Time elapsed: 0.030 s
% 0.61/0.85 % (20001)Instructions burned: 53 (million)
% 0.61/0.85 % (20001)------------------------------
% 0.61/0.85 % (20001)------------------------------
% 0.61/0.85 % (20008)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 (2994ds/62Mi)
% 0.61/0.85 % (20003)Instruction limit reached!
% 0.61/0.85 % (20003)------------------------------
% 0.61/0.85 % (20003)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.85 % (20003)Termination reason: Unknown
% 0.61/0.85 % (20003)Termination phase: Saturation
% 0.61/0.85
% 0.61/0.85 % (20003)Memory used [KB]: 1501
% 0.61/0.85 % (20003)Time elapsed: 0.024 s
% 0.61/0.85 % (20003)Instructions burned: 42 (million)
% 0.61/0.85 % (20003)------------------------------
% 0.61/0.85 % (20003)------------------------------
% 0.61/0.85 % (20009)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 (2994ds/32Mi)
% 0.61/0.85 % (20010)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 (2994ds/1919Mi)
% 0.94/0.87 % (20009)Instruction limit reached!
% 0.94/0.87 % (20009)------------------------------
% 0.94/0.87 % (20009)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.94/0.87 % (20009)Termination reason: Unknown
% 0.94/0.87 % (20009)Termination phase: Saturation
% 0.94/0.87
% 0.94/0.87 % (20009)Memory used [KB]: 1740
% 0.94/0.87 % (20009)Time elapsed: 0.020 s
% 0.94/0.87 % (20009)Instructions burned: 32 (million)
% 0.94/0.87 % (20009)------------------------------
% 0.94/0.87 % (20009)------------------------------
% 0.94/0.87 % (20011)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 (2994ds/55Mi)
% 0.94/0.88 % (20008)Instruction limit reached!
% 0.94/0.88 % (20008)------------------------------
% 0.94/0.88 % (20008)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.94/0.88 % (20008)Termination reason: Unknown
% 0.94/0.88 % (20008)Termination phase: Saturation
% 0.94/0.88
% 0.94/0.88 % (20008)Memory used [KB]: 2492
% 0.94/0.88 % (20008)Time elapsed: 0.033 s
% 0.94/0.88 % (20008)Instructions burned: 62 (million)
% 0.94/0.88 % (20008)------------------------------
% 0.94/0.88 % (20008)------------------------------
% 0.94/0.88 % (20012)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 (2994ds/53Mi)
% 0.94/0.89 % (20007)First to succeed.
% 1.04/0.89 % (20007)Refutation found. Thanks to Tanya!
% 1.04/0.89 % SZS status Theorem for Vampire---4
% 1.04/0.89 % SZS output start Proof for Vampire---4
% See solution above
% 1.04/0.89 % (20007)------------------------------
% 1.04/0.89 % (20007)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.04/0.89 % (20007)Termination reason: Refutation
% 1.04/0.89
% 1.04/0.89 % (20007)Memory used [KB]: 1684
% 1.04/0.89 % (20007)Time elapsed: 0.049 s
% 1.04/0.89 % (20007)Instructions burned: 83 (million)
% 1.04/0.89 % (20007)------------------------------
% 1.04/0.89 % (20007)------------------------------
% 1.04/0.89 % (19985)Success in time 0.571 s
% 1.04/0.89 % Vampire---4.8 exiting
%------------------------------------------------------------------------------