TSTP Solution File: LAT295+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT295+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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:23:09 EDT 2024
% Result : Theorem 0.62s 0.79s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 37
% Syntax : Number of formulae : 214 ( 20 unt; 0 def)
% Number of atoms : 997 ( 200 equ)
% Maximal formula atoms : 34 ( 4 avg)
% Number of connectives : 1308 ( 525 ~; 540 |; 177 &)
% ( 26 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 23 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-6 aty)
% Number of variables : 188 ( 140 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f781,plain,
$false,
inference(avatar_sat_refutation,[],[f285,f286,f300,f356,f360,f364,f369,f375,f380,f395,f408,f460,f467,f491,f512,f530,f550,f561,f593,f648,f729,f760,f765,f770,f780]) ).
fof(f780,plain,
( ~ spl24_4
| spl24_41
| ~ spl24_6
| ~ spl24_19
| ~ spl24_30
| ~ spl24_34 ),
inference(avatar_split_clause,[],[f779,f542,f447,f388,f297,f752,f282]) ).
fof(f282,plain,
( spl24_4
<=> r1_lattices(sK0,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_4])]) ).
fof(f752,plain,
( spl24_41
<=> sK5 = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_41])]) ).
fof(f297,plain,
( spl24_6
<=> k1_lattices(sK0,sK4,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_6])]) ).
fof(f388,plain,
( spl24_19
<=> l2_lattices(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_19])]) ).
fof(f447,plain,
( spl24_30
<=> u1_struct_0(sK0) = u1_struct_0(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_30])]) ).
fof(f542,plain,
( spl24_34
<=> u2_lattices(sK0) = u2_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_34])]) ).
fof(f779,plain,
( sK5 = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ r1_lattices(sK0,sK4,sK5)
| ~ spl24_6
| ~ spl24_19
| ~ spl24_30
| ~ spl24_34 ),
inference(subsumption_resolution,[],[f778,f173]) ).
fof(f173,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ( ( ~ r1_lattices(sK0,sK2,sK3)
& r1_lattices(sK1,sK4,sK5) )
| ( ~ r1_lattices(sK1,sK4,sK5)
& r1_lattices(sK0,sK2,sK3) )
| k2_lattices(sK0,sK2,sK3) != k2_lattices(sK1,sK4,sK5)
| k1_lattices(sK0,sK2,sK3) != k1_lattices(sK1,sK4,sK5) )
& sK3 = sK5
& sK2 = sK4
& m1_subset_1(sK5,u1_struct_0(sK1))
& m1_subset_1(sK4,u1_struct_0(sK1))
& m1_subset_1(sK3,u1_struct_0(sK0))
& m1_subset_1(sK2,u1_struct_0(sK0))
& g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) = g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
& l3_lattices(sK1)
& ~ v3_struct_0(sK1)
& l3_lattices(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f84,f133,f132,f131,f130,f129,f128]) ).
fof(f128,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(X0,X2,X3)
& r1_lattices(X1,X4,X5) )
| ( ~ r1_lattices(X1,X4,X5)
& r1_lattices(X0,X2,X3) )
| k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
| k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5) )
& X3 = X5
& X2 = X4
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& l3_lattices(X1)
& ~ v3_struct_0(X1) )
& l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(sK0,X2,X3)
& r1_lattices(X1,X4,X5) )
| ( ~ r1_lattices(X1,X4,X5)
& r1_lattices(sK0,X2,X3) )
| k2_lattices(X1,X4,X5) != k2_lattices(sK0,X2,X3)
| k1_lattices(X1,X4,X5) != k1_lattices(sK0,X2,X3) )
& X3 = X5
& X2 = X4
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
& l3_lattices(X1)
& ~ v3_struct_0(X1) )
& l3_lattices(sK0)
& ~ v3_struct_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(sK0,X2,X3)
& r1_lattices(X1,X4,X5) )
| ( ~ r1_lattices(X1,X4,X5)
& r1_lattices(sK0,X2,X3) )
| k2_lattices(X1,X4,X5) != k2_lattices(sK0,X2,X3)
| k1_lattices(X1,X4,X5) != k1_lattices(sK0,X2,X3) )
& X3 = X5
& X2 = X4
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
& l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(sK0,X2,X3)
& r1_lattices(sK1,X4,X5) )
| ( ~ r1_lattices(sK1,X4,X5)
& r1_lattices(sK0,X2,X3) )
| k2_lattices(sK0,X2,X3) != k2_lattices(sK1,X4,X5)
| k1_lattices(sK0,X2,X3) != k1_lattices(sK1,X4,X5) )
& X3 = X5
& X2 = X4
& m1_subset_1(X5,u1_struct_0(sK1)) )
& m1_subset_1(X4,u1_struct_0(sK1)) )
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
& g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) = g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
& l3_lattices(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(sK0,X2,X3)
& r1_lattices(sK1,X4,X5) )
| ( ~ r1_lattices(sK1,X4,X5)
& r1_lattices(sK0,X2,X3) )
| k2_lattices(sK0,X2,X3) != k2_lattices(sK1,X4,X5)
| k1_lattices(sK0,X2,X3) != k1_lattices(sK1,X4,X5) )
& X3 = X5
& X2 = X4
& m1_subset_1(X5,u1_struct_0(sK1)) )
& m1_subset_1(X4,u1_struct_0(sK1)) )
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(X2,u1_struct_0(sK0)) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(sK0,sK2,X3)
& r1_lattices(sK1,X4,X5) )
| ( ~ r1_lattices(sK1,X4,X5)
& r1_lattices(sK0,sK2,X3) )
| k2_lattices(sK1,X4,X5) != k2_lattices(sK0,sK2,X3)
| k1_lattices(sK1,X4,X5) != k1_lattices(sK0,sK2,X3) )
& X3 = X5
& sK2 = X4
& m1_subset_1(X5,u1_struct_0(sK1)) )
& m1_subset_1(X4,u1_struct_0(sK1)) )
& m1_subset_1(X3,u1_struct_0(sK0)) )
& m1_subset_1(sK2,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(sK0,sK2,X3)
& r1_lattices(sK1,X4,X5) )
| ( ~ r1_lattices(sK1,X4,X5)
& r1_lattices(sK0,sK2,X3) )
| k2_lattices(sK1,X4,X5) != k2_lattices(sK0,sK2,X3)
| k1_lattices(sK1,X4,X5) != k1_lattices(sK0,sK2,X3) )
& X3 = X5
& sK2 = X4
& m1_subset_1(X5,u1_struct_0(sK1)) )
& m1_subset_1(X4,u1_struct_0(sK1)) )
& m1_subset_1(X3,u1_struct_0(sK0)) )
=> ( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(sK0,sK2,sK3)
& r1_lattices(sK1,X4,X5) )
| ( ~ r1_lattices(sK1,X4,X5)
& r1_lattices(sK0,sK2,sK3) )
| k2_lattices(sK1,X4,X5) != k2_lattices(sK0,sK2,sK3)
| k1_lattices(sK1,X4,X5) != k1_lattices(sK0,sK2,sK3) )
& sK3 = X5
& sK2 = X4
& m1_subset_1(X5,u1_struct_0(sK1)) )
& m1_subset_1(X4,u1_struct_0(sK1)) )
& m1_subset_1(sK3,u1_struct_0(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(sK0,sK2,sK3)
& r1_lattices(sK1,X4,X5) )
| ( ~ r1_lattices(sK1,X4,X5)
& r1_lattices(sK0,sK2,sK3) )
| k2_lattices(sK1,X4,X5) != k2_lattices(sK0,sK2,sK3)
| k1_lattices(sK1,X4,X5) != k1_lattices(sK0,sK2,sK3) )
& sK3 = X5
& sK2 = X4
& m1_subset_1(X5,u1_struct_0(sK1)) )
& m1_subset_1(X4,u1_struct_0(sK1)) )
=> ( ? [X5] :
( ( ( ~ r1_lattices(sK0,sK2,sK3)
& r1_lattices(sK1,sK4,X5) )
| ( ~ r1_lattices(sK1,sK4,X5)
& r1_lattices(sK0,sK2,sK3) )
| k2_lattices(sK0,sK2,sK3) != k2_lattices(sK1,sK4,X5)
| k1_lattices(sK0,sK2,sK3) != k1_lattices(sK1,sK4,X5) )
& sK3 = X5
& sK2 = sK4
& m1_subset_1(X5,u1_struct_0(sK1)) )
& m1_subset_1(sK4,u1_struct_0(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
( ? [X5] :
( ( ( ~ r1_lattices(sK0,sK2,sK3)
& r1_lattices(sK1,sK4,X5) )
| ( ~ r1_lattices(sK1,sK4,X5)
& r1_lattices(sK0,sK2,sK3) )
| k2_lattices(sK0,sK2,sK3) != k2_lattices(sK1,sK4,X5)
| k1_lattices(sK0,sK2,sK3) != k1_lattices(sK1,sK4,X5) )
& sK3 = X5
& sK2 = sK4
& m1_subset_1(X5,u1_struct_0(sK1)) )
=> ( ( ( ~ r1_lattices(sK0,sK2,sK3)
& r1_lattices(sK1,sK4,sK5) )
| ( ~ r1_lattices(sK1,sK4,sK5)
& r1_lattices(sK0,sK2,sK3) )
| k2_lattices(sK0,sK2,sK3) != k2_lattices(sK1,sK4,sK5)
| k1_lattices(sK0,sK2,sK3) != k1_lattices(sK1,sK4,sK5) )
& sK3 = sK5
& sK2 = sK4
& m1_subset_1(sK5,u1_struct_0(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(X0,X2,X3)
& r1_lattices(X1,X4,X5) )
| ( ~ r1_lattices(X1,X4,X5)
& r1_lattices(X0,X2,X3) )
| k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
| k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5) )
& X3 = X5
& X2 = X4
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& l3_lattices(X1)
& ~ v3_struct_0(X1) )
& l3_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( ( ~ r1_lattices(X0,X2,X3)
& r1_lattices(X1,X4,X5) )
| ( ~ r1_lattices(X1,X4,X5)
& r1_lattices(X0,X2,X3) )
| k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
| k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5) )
& X3 = X5
& X2 = X4
& m1_subset_1(X5,u1_struct_0(X1)) )
& m1_subset_1(X4,u1_struct_0(X1)) )
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& l3_lattices(X1)
& ~ v3_struct_0(X1) )
& l3_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( X3 = X5
& X2 = X4 )
=> ( ( r1_lattices(X1,X4,X5)
=> r1_lattices(X0,X2,X3) )
& ( r1_lattices(X0,X2,X3)
=> r1_lattices(X1,X4,X5) )
& k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
& k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( ( X3 = X5
& X2 = X4 )
=> ( ( r1_lattices(X1,X4,X5)
=> r1_lattices(X0,X2,X3) )
& ( r1_lattices(X0,X2,X3)
=> r1_lattices(X1,X4,X5) )
& k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
& k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PreJIAT5Nx/Vampire---4.8_1795',t8_filter_2) ).
fof(f778,plain,
( sK5 = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ r1_lattices(sK0,sK4,sK5)
| v3_struct_0(sK0)
| ~ spl24_6
| ~ spl24_19
| ~ spl24_30
| ~ spl24_34 ),
inference(subsumption_resolution,[],[f777,f389]) ).
fof(f389,plain,
( l2_lattices(sK0)
| ~ spl24_19 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f777,plain,
( sK5 = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ r1_lattices(sK0,sK4,sK5)
| ~ l2_lattices(sK0)
| v3_struct_0(sK0)
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(subsumption_resolution,[],[f776,f267]) ).
fof(f267,plain,
m1_subset_1(sK4,u1_struct_0(sK0)),
inference(definition_unfolding,[],[f178,f182]) ).
fof(f182,plain,
sK2 = sK4,
inference(cnf_transformation,[],[f134]) ).
fof(f178,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f134]) ).
fof(f776,plain,
( sK5 = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ r1_lattices(sK0,sK4,sK5)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| v3_struct_0(sK0)
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(subsumption_resolution,[],[f692,f266]) ).
fof(f266,plain,
m1_subset_1(sK5,u1_struct_0(sK0)),
inference(definition_unfolding,[],[f179,f183]) ).
fof(f183,plain,
sK3 = sK5,
inference(cnf_transformation,[],[f134]) ).
fof(f179,plain,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f134]) ).
fof(f692,plain,
( sK5 = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ r1_lattices(sK0,sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| v3_struct_0(sK0)
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(superposition,[],[f642,f195]) ).
fof(f195,plain,
! [X2,X0,X1] :
( k1_lattices(X0,X1,X2) = X2
| ~ r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_lattices(X0,X1,X2)
| k1_lattices(X0,X1,X2) != X2 )
& ( k1_lattices(X0,X1,X2) = X2
| ~ r1_lattices(X0,X1,X2) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_lattices(X0,X1,X2)
<=> k1_lattices(X0,X1,X2) = X2 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_lattices(X0,X1,X2)
<=> k1_lattices(X0,X1,X2) = X2 )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ( l2_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,X1,X2)
<=> k1_lattices(X0,X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PreJIAT5Nx/Vampire---4.8_1795',d3_lattices) ).
fof(f642,plain,
( k1_lattices(sK0,sK4,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(forward_demodulation,[],[f641,f449]) ).
fof(f449,plain,
( u1_struct_0(sK0) = u1_struct_0(sK1)
| ~ spl24_30 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f641,plain,
( k1_lattices(sK0,sK4,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK0),sK4,sK5)
| ~ spl24_6
| ~ spl24_34 ),
inference(forward_demodulation,[],[f298,f544]) ).
fof(f544,plain,
( u2_lattices(sK0) = u2_lattices(sK1)
| ~ spl24_34 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f298,plain,
( k1_lattices(sK0,sK4,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5)
| ~ spl24_6 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f770,plain,
( spl24_4
| ~ spl24_41
| ~ spl24_6
| ~ spl24_19
| ~ spl24_30
| ~ spl24_34 ),
inference(avatar_split_clause,[],[f769,f542,f447,f388,f297,f752,f282]) ).
fof(f769,plain,
( sK5 != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| r1_lattices(sK0,sK4,sK5)
| ~ spl24_6
| ~ spl24_19
| ~ spl24_30
| ~ spl24_34 ),
inference(subsumption_resolution,[],[f768,f173]) ).
fof(f768,plain,
( sK5 != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| r1_lattices(sK0,sK4,sK5)
| v3_struct_0(sK0)
| ~ spl24_6
| ~ spl24_19
| ~ spl24_30
| ~ spl24_34 ),
inference(subsumption_resolution,[],[f767,f389]) ).
fof(f767,plain,
( sK5 != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| r1_lattices(sK0,sK4,sK5)
| ~ l2_lattices(sK0)
| v3_struct_0(sK0)
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(subsumption_resolution,[],[f766,f267]) ).
fof(f766,plain,
( sK5 != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| r1_lattices(sK0,sK4,sK5)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| v3_struct_0(sK0)
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(subsumption_resolution,[],[f695,f266]) ).
fof(f695,plain,
( sK5 != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| r1_lattices(sK0,sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| v3_struct_0(sK0)
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(superposition,[],[f196,f642]) ).
fof(f196,plain,
! [X2,X0,X1] :
( k1_lattices(X0,X1,X2) != X2
| r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f765,plain,
( spl24_3
| ~ spl24_41
| ~ spl24_1
| ~ spl24_5
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(avatar_split_clause,[],[f764,f542,f447,f297,f293,f270,f752,f278]) ).
fof(f278,plain,
( spl24_3
<=> r1_lattices(sK1,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_3])]) ).
fof(f270,plain,
( spl24_1
<=> k1_lattices(sK1,sK4,sK5) = k1_lattices(sK0,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).
fof(f293,plain,
( spl24_5
<=> l2_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_5])]) ).
fof(f764,plain,
( sK5 != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| r1_lattices(sK1,sK4,sK5)
| ~ spl24_1
| ~ spl24_5
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(subsumption_resolution,[],[f763,f175]) ).
fof(f175,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f134]) ).
fof(f763,plain,
( sK5 != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| r1_lattices(sK1,sK4,sK5)
| v3_struct_0(sK1)
| ~ spl24_1
| ~ spl24_5
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(subsumption_resolution,[],[f762,f294]) ).
fof(f294,plain,
( l2_lattices(sK1)
| ~ spl24_5 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f762,plain,
( sK5 != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| r1_lattices(sK1,sK4,sK5)
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl24_1
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(subsumption_resolution,[],[f761,f180]) ).
fof(f180,plain,
m1_subset_1(sK4,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f134]) ).
fof(f761,plain,
( sK5 != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| r1_lattices(sK1,sK4,sK5)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl24_1
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(subsumption_resolution,[],[f661,f181]) ).
fof(f181,plain,
m1_subset_1(sK5,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f134]) ).
fof(f661,plain,
( sK5 != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| r1_lattices(sK1,sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl24_1
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(superposition,[],[f196,f643]) ).
fof(f643,plain,
( k1_lattices(sK1,sK4,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ spl24_1
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(forward_demodulation,[],[f271,f642]) ).
fof(f271,plain,
( k1_lattices(sK1,sK4,sK5) = k1_lattices(sK0,sK4,sK5)
| ~ spl24_1 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f760,plain,
( ~ spl24_3
| spl24_41
| ~ spl24_1
| ~ spl24_5
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(avatar_split_clause,[],[f759,f542,f447,f297,f293,f270,f752,f278]) ).
fof(f759,plain,
( sK5 = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ r1_lattices(sK1,sK4,sK5)
| ~ spl24_1
| ~ spl24_5
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(subsumption_resolution,[],[f758,f175]) ).
fof(f758,plain,
( sK5 = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ r1_lattices(sK1,sK4,sK5)
| v3_struct_0(sK1)
| ~ spl24_1
| ~ spl24_5
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(subsumption_resolution,[],[f757,f294]) ).
fof(f757,plain,
( sK5 = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ r1_lattices(sK1,sK4,sK5)
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl24_1
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(subsumption_resolution,[],[f756,f180]) ).
fof(f756,plain,
( sK5 = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ r1_lattices(sK1,sK4,sK5)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl24_1
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(subsumption_resolution,[],[f660,f181]) ).
fof(f660,plain,
( sK5 = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ r1_lattices(sK1,sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| ~ spl24_1
| ~ spl24_6
| ~ spl24_30
| ~ spl24_34 ),
inference(superposition,[],[f195,f643]) ).
fof(f729,plain,
( spl24_2
| ~ spl24_30
| ~ spl24_33
| ~ spl24_35 ),
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f728,plain,
( $false
| spl24_2
| ~ spl24_30
| ~ spl24_33
| ~ spl24_35 ),
inference(subsumption_resolution,[],[f726,f174]) ).
fof(f174,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f134]) ).
fof(f726,plain,
( ~ l3_lattices(sK0)
| spl24_2
| ~ spl24_30
| ~ spl24_33
| ~ spl24_35 ),
inference(resolution,[],[f724,f223]) ).
fof(f223,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PreJIAT5Nx/Vampire---4.8_1795',dt_l3_lattices) ).
fof(f724,plain,
( ~ l1_lattices(sK0)
| spl24_2
| ~ spl24_30
| ~ spl24_33
| ~ spl24_35 ),
inference(subsumption_resolution,[],[f723,f173]) ).
fof(f723,plain,
( ~ l1_lattices(sK0)
| v3_struct_0(sK0)
| spl24_2
| ~ spl24_30
| ~ spl24_33
| ~ spl24_35 ),
inference(subsumption_resolution,[],[f722,f267]) ).
fof(f722,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ l1_lattices(sK0)
| v3_struct_0(sK0)
| spl24_2
| ~ spl24_30
| ~ spl24_33
| ~ spl24_35 ),
inference(subsumption_resolution,[],[f721,f266]) ).
fof(f721,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ l1_lattices(sK0)
| v3_struct_0(sK0)
| spl24_2
| ~ spl24_30
| ~ spl24_33
| ~ spl24_35 ),
inference(trivial_inequality_removal,[],[f720]) ).
fof(f720,plain,
( k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),sK4,sK5) != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ l1_lattices(sK0)
| v3_struct_0(sK0)
| spl24_2
| ~ spl24_30
| ~ spl24_33
| ~ spl24_35 ),
inference(superposition,[],[f655,f197]) ).
fof(f197,plain,
! [X2,X0,X1] :
( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ( l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k2_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u1_lattices(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PreJIAT5Nx/Vampire---4.8_1795',d2_lattices) ).
fof(f655,plain,
( k2_lattices(sK0,sK4,sK5) != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),sK4,sK5)
| spl24_2
| ~ spl24_30
| ~ spl24_33
| ~ spl24_35 ),
inference(forward_demodulation,[],[f654,f449]) ).
fof(f654,plain,
( k2_lattices(sK0,sK4,sK5) != k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK0),sK4,sK5)
| spl24_2
| ~ spl24_33
| ~ spl24_35 ),
inference(forward_demodulation,[],[f653,f539]) ).
fof(f539,plain,
( u1_lattices(sK0) = u1_lattices(sK1)
| ~ spl24_33 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f537,plain,
( spl24_33
<=> u1_lattices(sK0) = u1_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_33])]) ).
fof(f653,plain,
( k2_lattices(sK0,sK4,sK5) != k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK4,sK5)
| spl24_2
| ~ spl24_35 ),
inference(subsumption_resolution,[],[f652,f175]) ).
fof(f652,plain,
( k2_lattices(sK0,sK4,sK5) != k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK4,sK5)
| v3_struct_0(sK1)
| spl24_2
| ~ spl24_35 ),
inference(subsumption_resolution,[],[f651,f598]) ).
fof(f598,plain,
( l1_lattices(sK1)
| ~ spl24_35 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f597,plain,
( spl24_35
<=> l1_lattices(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_35])]) ).
fof(f651,plain,
( k2_lattices(sK0,sK4,sK5) != k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK4,sK5)
| ~ l1_lattices(sK1)
| v3_struct_0(sK1)
| spl24_2 ),
inference(subsumption_resolution,[],[f650,f180]) ).
fof(f650,plain,
( k2_lattices(sK0,sK4,sK5) != k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK4,sK5)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l1_lattices(sK1)
| v3_struct_0(sK1)
| spl24_2 ),
inference(subsumption_resolution,[],[f649,f181]) ).
fof(f649,plain,
( k2_lattices(sK0,sK4,sK5) != k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l1_lattices(sK1)
| v3_struct_0(sK1)
| spl24_2 ),
inference(superposition,[],[f276,f197]) ).
fof(f276,plain,
( k2_lattices(sK1,sK4,sK5) != k2_lattices(sK0,sK4,sK5)
| spl24_2 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl24_2
<=> k2_lattices(sK1,sK4,sK5) = k2_lattices(sK0,sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).
fof(f648,plain,
spl24_35,
inference(avatar_contradiction_clause,[],[f647]) ).
fof(f647,plain,
( $false
| spl24_35 ),
inference(subsumption_resolution,[],[f645,f176]) ).
fof(f176,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f134]) ).
fof(f645,plain,
( ~ l3_lattices(sK1)
| spl24_35 ),
inference(resolution,[],[f599,f223]) ).
fof(f599,plain,
( ~ l1_lattices(sK1)
| spl24_35 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f593,plain,
( spl24_20
| ~ spl24_30
| ~ spl24_34 ),
inference(avatar_contradiction_clause,[],[f592]) ).
fof(f592,plain,
( $false
| spl24_20
| ~ spl24_30
| ~ spl24_34 ),
inference(trivial_inequality_removal,[],[f591]) ).
fof(f591,plain,
( k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5) != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| spl24_20
| ~ spl24_30
| ~ spl24_34 ),
inference(forward_demodulation,[],[f569,f544]) ).
fof(f569,plain,
( k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5) != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK1),sK4,sK5)
| spl24_20
| ~ spl24_30 ),
inference(superposition,[],[f394,f449]) ).
fof(f394,plain,
( k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5) != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| spl24_20 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f392,plain,
( spl24_20
<=> k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_20])]) ).
fof(f561,plain,
( spl24_33
| ~ spl24_18 ),
inference(avatar_split_clause,[],[f560,f362,f537]) ).
fof(f362,plain,
( spl24_18
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_lattices(sK1) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_18])]) ).
fof(f560,plain,
( u1_lattices(sK0) = u1_lattices(sK1)
| ~ spl24_18 ),
inference(equality_resolution,[],[f363]) ).
fof(f363,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_lattices(sK1) = X2 )
| ~ spl24_18 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f550,plain,
( spl24_34
| ~ spl24_17 ),
inference(avatar_split_clause,[],[f549,f358,f542]) ).
fof(f358,plain,
( spl24_17
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u2_lattices(sK1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_17])]) ).
fof(f549,plain,
( u2_lattices(sK0) = u2_lattices(sK1)
| ~ spl24_17 ),
inference(equality_resolution,[],[f359]) ).
fof(f359,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u2_lattices(sK1) = X1 )
| ~ spl24_17 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f530,plain,
( spl24_30
| ~ spl24_16 ),
inference(avatar_split_clause,[],[f529,f354,f447]) ).
fof(f354,plain,
( spl24_16
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_struct_0(sK1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_16])]) ).
fof(f529,plain,
( u1_struct_0(sK0) = u1_struct_0(sK1)
| ~ spl24_16 ),
inference(equality_resolution,[],[f355]) ).
fof(f355,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_struct_0(sK1) = X0 )
| ~ spl24_16 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f512,plain,
spl24_15,
inference(avatar_contradiction_clause,[],[f511]) ).
fof(f511,plain,
( $false
| spl24_15 ),
inference(subsumption_resolution,[],[f509,f176]) ).
fof(f509,plain,
( ~ l3_lattices(sK1)
| spl24_15 ),
inference(resolution,[],[f506,f223]) ).
fof(f506,plain,
( ~ l1_lattices(sK1)
| spl24_15 ),
inference(resolution,[],[f494,f210]) ).
fof(f210,plain,
! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( l1_lattices(X0)
=> ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PreJIAT5Nx/Vampire---4.8_1795',dt_u1_lattices) ).
fof(f494,plain,
( ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl24_15 ),
inference(resolution,[],[f352,f245]) ).
fof(f245,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.PreJIAT5Nx/Vampire---4.8_1795',redefinition_m2_relset_1) ).
fof(f352,plain,
( ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl24_15 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f350,plain,
( spl24_15
<=> m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_15])]) ).
fof(f491,plain,
spl24_14,
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f490,plain,
( $false
| spl24_14 ),
inference(subsumption_resolution,[],[f488,f176]) ).
fof(f488,plain,
( ~ l3_lattices(sK1)
| spl24_14 ),
inference(resolution,[],[f486,f223]) ).
fof(f486,plain,
( ~ l1_lattices(sK1)
| spl24_14 ),
inference(resolution,[],[f348,f209]) ).
fof(f209,plain,
! [X0] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f348,plain,
( ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl24_14 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f346,plain,
( spl24_14
<=> v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_14])]) ).
fof(f467,plain,
spl24_13,
inference(avatar_contradiction_clause,[],[f466]) ).
fof(f466,plain,
( $false
| spl24_13 ),
inference(subsumption_resolution,[],[f464,f176]) ).
fof(f464,plain,
( ~ l3_lattices(sK1)
| spl24_13 ),
inference(resolution,[],[f461,f223]) ).
fof(f461,plain,
( ~ l1_lattices(sK1)
| spl24_13 ),
inference(resolution,[],[f344,f208]) ).
fof(f208,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f344,plain,
( ~ v1_funct_1(u1_lattices(sK1))
| spl24_13 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f342,plain,
( spl24_13
<=> v1_funct_1(u1_lattices(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_13])]) ).
fof(f460,plain,
( ~ spl24_5
| spl24_12 ),
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f459,plain,
( $false
| ~ spl24_5
| spl24_12 ),
inference(subsumption_resolution,[],[f456,f294]) ).
fof(f456,plain,
( ~ l2_lattices(sK1)
| spl24_12 ),
inference(resolution,[],[f381,f207]) ).
fof(f207,plain,
! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( l2_lattices(X0)
=> ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PreJIAT5Nx/Vampire---4.8_1795',dt_u2_lattices) ).
fof(f381,plain,
( ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl24_12 ),
inference(resolution,[],[f340,f245]) ).
fof(f340,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl24_12 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f338,plain,
( spl24_12
<=> m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_12])]) ).
fof(f408,plain,
spl24_19,
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f407,plain,
( $false
| spl24_19 ),
inference(subsumption_resolution,[],[f405,f174]) ).
fof(f405,plain,
( ~ l3_lattices(sK0)
| spl24_19 ),
inference(resolution,[],[f390,f224]) ).
fof(f224,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f390,plain,
( ~ l2_lattices(sK0)
| spl24_19 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f395,plain,
( ~ spl24_19
| ~ spl24_20
| spl24_6 ),
inference(avatar_split_clause,[],[f386,f297,f392,f388]) ).
fof(f386,plain,
( k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5) != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ l2_lattices(sK0)
| spl24_6 ),
inference(subsumption_resolution,[],[f385,f173]) ).
fof(f385,plain,
( k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5) != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ l2_lattices(sK0)
| v3_struct_0(sK0)
| spl24_6 ),
inference(subsumption_resolution,[],[f384,f267]) ).
fof(f384,plain,
( k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5) != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| v3_struct_0(sK0)
| spl24_6 ),
inference(subsumption_resolution,[],[f382,f266]) ).
fof(f382,plain,
( k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5) != k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| v3_struct_0(sK0)
| spl24_6 ),
inference(superposition,[],[f299,f198]) ).
fof(f198,plain,
! [X2,X0,X1] :
( k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l2_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ( l2_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> k1_lattices(X0,X1,X2) = k2_binop_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X0),u2_lattices(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PreJIAT5Nx/Vampire---4.8_1795',d1_lattices) ).
fof(f299,plain,
( k1_lattices(sK0,sK4,sK5) != k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5)
| spl24_6 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f380,plain,
( ~ spl24_5
| spl24_11 ),
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| ~ spl24_5
| spl24_11 ),
inference(subsumption_resolution,[],[f377,f294]) ).
fof(f377,plain,
( ~ l2_lattices(sK1)
| spl24_11 ),
inference(resolution,[],[f336,f206]) ).
fof(f206,plain,
! [X0] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f336,plain,
( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl24_11 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f334,plain,
( spl24_11
<=> v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_11])]) ).
fof(f375,plain,
( ~ spl24_5
| spl24_10 ),
inference(avatar_contradiction_clause,[],[f374]) ).
fof(f374,plain,
( $false
| ~ spl24_5
| spl24_10 ),
inference(subsumption_resolution,[],[f371,f294]) ).
fof(f371,plain,
( ~ l2_lattices(sK1)
| spl24_10 ),
inference(resolution,[],[f332,f205]) ).
fof(f205,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f332,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| spl24_10 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl24_10
<=> v1_funct_1(u2_lattices(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_10])]) ).
fof(f369,plain,
spl24_5,
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f368,plain,
( $false
| spl24_5 ),
inference(subsumption_resolution,[],[f366,f176]) ).
fof(f366,plain,
( ~ l3_lattices(sK1)
| spl24_5 ),
inference(resolution,[],[f295,f224]) ).
fof(f295,plain,
( ~ l2_lattices(sK1)
| spl24_5 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f364,plain,
( ~ spl24_10
| ~ spl24_11
| ~ spl24_12
| ~ spl24_13
| ~ spl24_14
| ~ spl24_15
| spl24_18 ),
inference(avatar_split_clause,[],[f316,f362,f350,f346,f342,f338,f334,f330]) ).
fof(f316,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_lattices(sK1) = X2
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1)) ),
inference(superposition,[],[f193,f177]) ).
fof(f177,plain,
g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) = g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)),
inference(cnf_transformation,[],[f134]) ).
fof(f193,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X2 = X5
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0,X1,X2] :
( ( m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PreJIAT5Nx/Vampire---4.8_1795',free_g3_lattices) ).
fof(f360,plain,
( ~ spl24_10
| ~ spl24_11
| ~ spl24_12
| ~ spl24_13
| ~ spl24_14
| ~ spl24_15
| spl24_17 ),
inference(avatar_split_clause,[],[f314,f358,f350,f346,f342,f338,f334,f330]) ).
fof(f314,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u2_lattices(sK1) = X1
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1)) ),
inference(superposition,[],[f192,f177]) ).
fof(f192,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X1 = X4
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f356,plain,
( ~ spl24_10
| ~ spl24_11
| ~ spl24_12
| ~ spl24_13
| ~ spl24_14
| ~ spl24_15
| spl24_16 ),
inference(avatar_split_clause,[],[f312,f354,f350,f346,f342,f338,f334,f330]) ).
fof(f312,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_struct_0(sK1) = X0
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1)) ),
inference(superposition,[],[f191,f177]) ).
fof(f191,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f300,plain,
( ~ spl24_5
| ~ spl24_6
| spl24_1 ),
inference(avatar_split_clause,[],[f291,f270,f297,f293]) ).
fof(f291,plain,
( k1_lattices(sK0,sK4,sK5) != k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5)
| ~ l2_lattices(sK1)
| spl24_1 ),
inference(subsumption_resolution,[],[f290,f175]) ).
fof(f290,plain,
( k1_lattices(sK0,sK4,sK5) != k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5)
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| spl24_1 ),
inference(subsumption_resolution,[],[f289,f180]) ).
fof(f289,plain,
( k1_lattices(sK0,sK4,sK5) != k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| spl24_1 ),
inference(subsumption_resolution,[],[f287,f181]) ).
fof(f287,plain,
( k1_lattices(sK0,sK4,sK5) != k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ l2_lattices(sK1)
| v3_struct_0(sK1)
| spl24_1 ),
inference(superposition,[],[f272,f198]) ).
fof(f272,plain,
( k1_lattices(sK1,sK4,sK5) != k1_lattices(sK0,sK4,sK5)
| spl24_1 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f286,plain,
( ~ spl24_1
| ~ spl24_2
| spl24_4
| spl24_3 ),
inference(avatar_split_clause,[],[f265,f278,f282,f274,f270]) ).
fof(f265,plain,
( r1_lattices(sK1,sK4,sK5)
| r1_lattices(sK0,sK4,sK5)
| k2_lattices(sK1,sK4,sK5) != k2_lattices(sK0,sK4,sK5)
| k1_lattices(sK1,sK4,sK5) != k1_lattices(sK0,sK4,sK5) ),
inference(definition_unfolding,[],[f184,f182,f183,f182,f183,f182,f183]) ).
fof(f184,plain,
( r1_lattices(sK1,sK4,sK5)
| r1_lattices(sK0,sK2,sK3)
| k2_lattices(sK0,sK2,sK3) != k2_lattices(sK1,sK4,sK5)
| k1_lattices(sK0,sK2,sK3) != k1_lattices(sK1,sK4,sK5) ),
inference(cnf_transformation,[],[f134]) ).
fof(f285,plain,
( ~ spl24_1
| ~ spl24_2
| ~ spl24_3
| ~ spl24_4 ),
inference(avatar_split_clause,[],[f262,f282,f278,f274,f270]) ).
fof(f262,plain,
( ~ r1_lattices(sK0,sK4,sK5)
| ~ r1_lattices(sK1,sK4,sK5)
| k2_lattices(sK1,sK4,sK5) != k2_lattices(sK0,sK4,sK5)
| k1_lattices(sK1,sK4,sK5) != k1_lattices(sK0,sK4,sK5) ),
inference(definition_unfolding,[],[f187,f182,f183,f182,f183,f182,f183]) ).
fof(f187,plain,
( ~ r1_lattices(sK0,sK2,sK3)
| ~ r1_lattices(sK1,sK4,sK5)
| k2_lattices(sK0,sK2,sK3) != k2_lattices(sK1,sK4,sK5)
| k1_lattices(sK0,sK2,sK3) != k1_lattices(sK1,sK4,sK5) ),
inference(cnf_transformation,[],[f134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LAT295+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.15 % 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
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 12:37:01 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.PreJIAT5Nx/Vampire---4.8_1795
% 0.56/0.75 % (2224)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 (2996ds/56Mi)
% 0.56/0.76 % (2217)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 (2996ds/34Mi)
% 0.56/0.76 % (2219)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76 % (2218)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 (2996ds/51Mi)
% 0.56/0.76 % (2221)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 (2996ds/34Mi)
% 0.56/0.76 % (2220)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.76 % (2222)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.76 % (2223)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 (2996ds/83Mi)
% 0.56/0.76 % (2224)Refutation not found, incomplete strategy% (2224)------------------------------
% 0.56/0.76 % (2224)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (2224)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (2224)Memory used [KB]: 1131
% 0.56/0.76 % (2224)Time elapsed: 0.003 s
% 0.56/0.76 % (2224)Instructions burned: 6 (million)
% 0.56/0.76 % (2224)------------------------------
% 0.56/0.76 % (2224)------------------------------
% 0.56/0.76 % (2220)Refutation not found, incomplete strategy% (2220)------------------------------
% 0.56/0.76 % (2220)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (2220)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (2220)Memory used [KB]: 1042
% 0.56/0.76 % (2220)Time elapsed: 0.003 s
% 0.56/0.76 % (2220)Instructions burned: 3 (million)
% 0.56/0.76 % (2220)------------------------------
% 0.56/0.76 % (2220)------------------------------
% 0.56/0.76 % (2217)Refutation not found, incomplete strategy% (2217)------------------------------
% 0.56/0.76 % (2217)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (2217)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (2217)Memory used [KB]: 1136
% 0.56/0.76 % (2217)Time elapsed: 0.005 s
% 0.56/0.76 % (2217)Instructions burned: 6 (million)
% 0.62/0.76 % (2217)------------------------------
% 0.62/0.76 % (2217)------------------------------
% 0.62/0.76 % (2225)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 (2996ds/55Mi)
% 0.62/0.76 % (2222)Refutation not found, incomplete strategy% (2222)------------------------------
% 0.62/0.76 % (2222)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76 % (2222)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76
% 0.62/0.76 % (2222)Memory used [KB]: 1171
% 0.62/0.76 % (2222)Time elapsed: 0.007 s
% 0.62/0.76 % (2222)Instructions burned: 10 (million)
% 0.62/0.76 % (2226)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 (2996ds/50Mi)
% 0.62/0.76 % (2222)------------------------------
% 0.62/0.76 % (2222)------------------------------
% 0.62/0.76 % (2221)Refutation not found, incomplete strategy% (2221)------------------------------
% 0.62/0.76 % (2221)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.76 % (2221)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76
% 0.62/0.76 % (2221)Memory used [KB]: 1197
% 0.62/0.76 % (2221)Time elapsed: 0.008 s
% 0.62/0.76 % (2221)Instructions burned: 11 (million)
% 0.62/0.76 % (2221)------------------------------
% 0.62/0.76 % (2221)------------------------------
% 0.62/0.76 % (2227)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 (2996ds/208Mi)
% 0.62/0.77 % (2228)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 (2996ds/52Mi)
% 0.62/0.77 % (2229)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 (2996ds/518Mi)
% 0.62/0.77 % (2227)Refutation not found, incomplete strategy% (2227)------------------------------
% 0.62/0.77 % (2227)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77 % (2227)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77
% 0.62/0.77 % (2227)Memory used [KB]: 1170
% 0.62/0.77 % (2227)Time elapsed: 0.009 s
% 0.62/0.77 % (2227)Instructions burned: 11 (million)
% 0.62/0.77 % (2227)------------------------------
% 0.62/0.77 % (2227)------------------------------
% 0.62/0.77 % (2230)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 (2996ds/42Mi)
% 0.62/0.78 % (2225)Instruction limit reached!
% 0.62/0.78 % (2225)------------------------------
% 0.62/0.78 % (2225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78 % (2225)Termination reason: Unknown
% 0.62/0.78 % (2225)Termination phase: Saturation
% 0.62/0.78
% 0.62/0.78 % (2225)Memory used [KB]: 3400
% 0.62/0.78 % (2225)Time elapsed: 0.018 s
% 0.62/0.78 % (2225)Instructions burned: 58 (million)
% 0.62/0.78 % (2225)------------------------------
% 0.62/0.78 % (2225)------------------------------
% 0.62/0.78 % (2231)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)
% 0.62/0.78 % (2230)Refutation not found, incomplete strategy% (2230)------------------------------
% 0.62/0.78 % (2230)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78 % (2230)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78
% 0.62/0.78 % (2230)Memory used [KB]: 1179
% 0.62/0.78 % (2230)Time elapsed: 0.007 s
% 0.62/0.78 % (2230)Instructions burned: 10 (million)
% 0.62/0.78 % (2230)------------------------------
% 0.62/0.78 % (2230)------------------------------
% 0.62/0.78 % (2218)Instruction limit reached!
% 0.62/0.78 % (2218)------------------------------
% 0.62/0.78 % (2218)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (2218)Termination reason: Unknown
% 0.62/0.79 % (2232)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)
% 0.62/0.79 % (2218)Termination phase: Saturation
% 0.62/0.79
% 0.62/0.79 % (2218)Memory used [KB]: 1651
% 0.62/0.79 % (2218)Time elapsed: 0.031 s
% 0.62/0.79 % (2218)Instructions burned: 51 (million)
% 0.62/0.79 % (2218)------------------------------
% 0.62/0.79 % (2218)------------------------------
% 0.62/0.79 % (2229)First to succeed.
% 0.62/0.79 % (2233)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)
% 0.62/0.79 % (2226)Instruction limit reached!
% 0.62/0.79 % (2226)------------------------------
% 0.62/0.79 % (2226)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (2226)Termination reason: Unknown
% 0.62/0.79 % (2226)Termination phase: Saturation
% 0.62/0.79
% 0.62/0.79 % (2226)Memory used [KB]: 1684
% 0.62/0.79 % (2226)Time elapsed: 0.029 s
% 0.62/0.79 % (2226)Instructions burned: 51 (million)
% 0.62/0.79 % (2226)------------------------------
% 0.62/0.79 % (2226)------------------------------
% 0.62/0.79 % (2229)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2075"
% 0.62/0.79 % (2229)Refutation found. Thanks to Tanya!
% 0.62/0.79 % SZS status Theorem for Vampire---4
% 0.62/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.79 % (2229)------------------------------
% 0.62/0.79 % (2229)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79 % (2229)Termination reason: Refutation
% 0.62/0.79
% 0.62/0.79 % (2229)Memory used [KB]: 1432
% 0.62/0.79 % (2229)Time elapsed: 0.025 s
% 0.62/0.79 % (2229)Instructions burned: 40 (million)
% 0.62/0.79 % (2075)Success in time 0.415 s
% 0.62/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------