%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT295+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:37 AM UTC 2026
% Result : Theorem 2.32s 1.16s
% Output : Refutation 2.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 132 ( 31 unt; 10 def)
% Number of atoms : 653 ( 99 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 937 ( 416 ~; 422 |; 63 &)
% ( 6 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 7 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 147 ( 0 sgn 135 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13132,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(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))
=> ( ( X2 = X4
& X3 = X5 )
=> ( k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5)
& k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
& ( r1_lattices(X0,X2,X3)
=> r1_lattices(X1,X4,X5) )
& ( r1_lattices(X1,X4,X5)
=> r1_lattices(X0,X2,X3) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_quantal1) ).
fof(f13583,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(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))
=> ( ( X2 = X4
& X3 = X5 )
=> ( k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5)
& k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
& ( r1_lattices(X0,X2,X3)
=> r1_lattices(X1,X4,X5) )
& ( r1_lattices(X1,X4,X5)
=> r1_lattices(X0,X2,X3) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_filter_2) ).
fof(f13584,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(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))
=> ( ( X2 = X4
& X3 = X5 )
=> ( k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5)
& k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
& ( r1_lattices(X0,X2,X3)
=> r1_lattices(X1,X4,X5) )
& ( r1_lattices(X1,X4,X5)
=> r1_lattices(X0,X2,X3) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13583]) ).
fof(f13599,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5)
| k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
| ( ~ r1_lattices(X1,X4,X5)
& r1_lattices(X0,X2,X3) )
| ( ~ r1_lattices(X0,X2,X3)
& r1_lattices(X1,X4,X5) ) )
& X2 = X4
& X3 = X5
& 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))
& ~ v3_struct_0(X1)
& l3_lattices(X1) )
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f13584]) ).
fof(f13600,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ( k1_lattices(X0,X2,X3) != k1_lattices(X1,X4,X5)
| k2_lattices(X0,X2,X3) != k2_lattices(X1,X4,X5)
| ( ~ r1_lattices(X1,X4,X5)
& r1_lattices(X0,X2,X3) )
| ( ~ r1_lattices(X0,X2,X3)
& r1_lattices(X1,X4,X5) ) )
& X2 = X4
& X3 = X5
& 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))
& ~ v3_struct_0(X1)
& l3_lattices(X1) )
& ~ v3_struct_0(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f13599]) ).
fof(f13601,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5)
& k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
& ( r1_lattices(X1,X4,X5)
| ~ r1_lattices(X0,X2,X3) )
& ( r1_lattices(X0,X2,X3)
| ~ r1_lattices(X1,X4,X5) ) )
| X2 != X4
| X3 != X5
| ~ 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))
| v3_struct_0(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13132]) ).
fof(f13602,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ( k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5)
& k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
& ( r1_lattices(X1,X4,X5)
| ~ r1_lattices(X0,X2,X3) )
& ( r1_lattices(X0,X2,X3)
| ~ r1_lattices(X1,X4,X5) ) )
| X2 != X4
| X3 != X5
| ~ 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))
| v3_struct_0(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13601]) ).
fof(f13613,plain,
( ( k1_lattices(sK0,sK2,sK3) != k1_lattices(sK1,sK4,sK5)
| k2_lattices(sK0,sK2,sK3) != k2_lattices(sK1,sK4,sK5)
| ( ~ r1_lattices(sK1,sK4,sK5)
& r1_lattices(sK0,sK2,sK3) )
| ( ~ r1_lattices(sK0,sK2,sK3)
& r1_lattices(sK1,sK4,sK5) ) )
& sK2 = sK4
& sK3 = sK5
& 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))
& ~ v3_struct_0(sK1)
& l3_lattices(sK1)
& ~ v3_struct_0(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f13600]) ).
fof(f13629,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f13613]) ).
fof(f13630,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f13613]) ).
fof(f13631,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f13613]) ).
fof(f13632,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f13613]) ).
fof(f13633,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,[],[f13613]) ).
fof(f13634,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f13613]) ).
fof(f13635,plain,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f13613]) ).
fof(f13636,plain,
m1_subset_1(sK4,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f13613]) ).
fof(f13637,plain,
m1_subset_1(sK5,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f13613]) ).
fof(f13638,plain,
sK3 = sK5,
inference(cnf_transformation,[],[f13613]) ).
fof(f13639,plain,
sK2 = sK4,
inference(cnf_transformation,[],[f13613]) ).
fof(f13640,plain,
( k1_lattices(sK0,sK2,sK3) != k1_lattices(sK1,sK4,sK5)
| k2_lattices(sK0,sK2,sK3) != k2_lattices(sK1,sK4,sK5)
| r1_lattices(sK0,sK2,sK3)
| r1_lattices(sK1,sK4,sK5) ),
inference(cnf_transformation,[],[f13613]) ).
fof(f13643,plain,
( k1_lattices(sK0,sK2,sK3) != k1_lattices(sK1,sK4,sK5)
| k2_lattices(sK0,sK2,sK3) != k2_lattices(sK1,sK4,sK5)
| ~ r1_lattices(sK1,sK4,sK5)
| ~ r1_lattices(sK0,sK2,sK3) ),
inference(cnf_transformation,[],[f13613]) ).
fof(f13646,plain,
! [X2,X3,X0,X1,X4,X5] :
( r1_lattices(X0,X2,X3)
| ~ r1_lattices(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ 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))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13602]) ).
fof(f13648,plain,
! [X2,X3,X0,X1,X4,X5] :
( k2_lattices(X0,X2,X3) = k2_lattices(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ 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))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13602]) ).
fof(f13649,plain,
! [X2,X3,X0,X1,X4,X5] :
( k1_lattices(X0,X2,X3) = k1_lattices(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ 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))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13602]) ).
fof(f13673,plain,
( k1_lattices(sK1,sK4,sK5) != k1_lattices(sK0,sK4,sK5)
| k2_lattices(sK1,sK4,sK5) != k2_lattices(sK0,sK4,sK5)
| ~ r1_lattices(sK1,sK4,sK5)
| ~ r1_lattices(sK0,sK4,sK5) ),
inference(definition_unfolding,[],[f13643,f13639,f13638,f13639,f13638,f13639,f13638]) ).
fof(f13676,plain,
( k1_lattices(sK1,sK4,sK5) != k1_lattices(sK0,sK4,sK5)
| k2_lattices(sK1,sK4,sK5) != k2_lattices(sK0,sK4,sK5)
| r1_lattices(sK0,sK4,sK5)
| r1_lattices(sK1,sK4,sK5) ),
inference(definition_unfolding,[],[f13640,f13639,f13638,f13639,f13638,f13639,f13638]) ).
fof(f13677,plain,
m1_subset_1(sK5,u1_struct_0(sK0)),
inference(definition_unfolding,[],[f13635,f13638]) ).
fof(f13678,plain,
m1_subset_1(sK4,u1_struct_0(sK0)),
inference(definition_unfolding,[],[f13634,f13639]) ).
fof(f13679,definition,
~ sP19(k1_lattices(sK1,sK4,sK5)),
introduced(definition,[new_symbols(definition,[sP19])],[inequality_splitting_name_introduction]) ).
fof(f13680,definition,
~ sP20(k2_lattices(sK1,sK4,sK5)),
introduced(definition,[new_symbols(definition,[sP20])],[inequality_splitting_name_introduction]) ).
fof(f13681,plain,
( sP19(k1_lattices(sK0,sK4,sK5))
| sP20(k2_lattices(sK0,sK4,sK5))
| ~ r1_lattices(sK1,sK4,sK5)
| ~ r1_lattices(sK0,sK4,sK5) ),
inference(inequality_splitting,[],[f13673,f13680,f13679]) ).
fof(f13688,definition,
~ sP25(k1_lattices(sK1,sK4,sK5)),
introduced(definition,[new_symbols(definition,[sP25])],[inequality_splitting_name_introduction]) ).
fof(f13689,definition,
~ sP26(k2_lattices(sK1,sK4,sK5)),
introduced(definition,[new_symbols(definition,[sP26])],[inequality_splitting_name_introduction]) ).
fof(f13690,plain,
( sP25(k1_lattices(sK0,sK4,sK5))
| sP26(k2_lattices(sK0,sK4,sK5))
| r1_lattices(sK0,sK4,sK5)
| r1_lattices(sK1,sK4,sK5) ),
inference(inequality_splitting,[],[f13676,f13689,f13688]) ).
fof(f13691,plain,
! [X3,X0,X1,X4,X5] :
( k1_lattices(X1,X4,X5) = k1_lattices(X0,X4,X3)
| X3 != X5
| ~ 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(X4,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))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f13649]) ).
fof(f13692,plain,
! [X0,X1,X4,X5] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| k1_lattices(X1,X4,X5) = k1_lattices(X0,X4,X5)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f13691]) ).
fof(f13693,plain,
! [X3,X0,X1,X4,X5] :
( k2_lattices(X1,X4,X5) = k2_lattices(X0,X4,X3)
| X3 != X5
| ~ 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(X4,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))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f13648]) ).
fof(f13694,plain,
! [X0,X1,X4,X5] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| k2_lattices(X1,X4,X5) = k2_lattices(X0,X4,X5)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f13693]) ).
fof(f13697,plain,
! [X3,X0,X1,X4,X5] :
( r1_lattices(X0,X4,X3)
| ~ r1_lattices(X1,X4,X5)
| X3 != X5
| ~ 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(X4,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))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f13646]) ).
fof(f13698,plain,
! [X0,X1,X4,X5] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ r1_lattices(X1,X4,X5)
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| r1_lattices(X0,X4,X5)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f13697]) ).
fof(f13700,definition,
( spl27_1
<=> r1_lattices(sK1,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f13701,plain,
( ~ r1_lattices(sK1,sK4,sK5)
| spl27_1 ),
inference(avatar_component_clause,[],[f13700]) ).
fof(f13702,plain,
( r1_lattices(sK1,sK4,sK5)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f13700]) ).
fof(f13704,definition,
( spl27_2
<=> r1_lattices(sK0,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f13705,plain,
( ~ r1_lattices(sK0,sK4,sK5)
| spl27_2 ),
inference(avatar_component_clause,[],[f13704]) ).
fof(f13706,plain,
( r1_lattices(sK0,sK4,sK5)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f13704]) ).
fof(f13708,definition,
( spl27_3
<=> sP26(k2_lattices(sK0,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl27_3])],[avatar_definition]) ).
fof(f13712,definition,
( spl27_4
<=> sP25(k1_lattices(sK0,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl27_4])],[avatar_definition]) ).
fof(f13715,plain,
( spl27_1
| spl27_2
| spl27_3
| spl27_4 ),
inference(avatar_split_clause,[],[f13690,f13712,f13708,f13704,f13700]) ).
fof(f13717,definition,
( spl27_5
<=> sP20(k2_lattices(sK0,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl27_5])],[avatar_definition]) ).
fof(f13719,plain,
( sP20(k2_lattices(sK0,sK4,sK5))
| ~ spl27_5 ),
inference(avatar_component_clause,[],[f13717]) ).
fof(f13721,definition,
( spl27_6
<=> sP19(k1_lattices(sK0,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl27_6])],[avatar_definition]) ).
fof(f13723,plain,
( sP19(k1_lattices(sK0,sK4,sK5))
| ~ spl27_6 ),
inference(avatar_component_clause,[],[f13721]) ).
fof(f13724,plain,
( ~ spl27_2
| ~ spl27_1
| spl27_5
| spl27_6 ),
inference(avatar_split_clause,[],[f13681,f13721,f13717,f13700,f13704]) ).
fof(f13730,plain,
! [X2,X0,X1] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X2,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_lattices(X0,X2,X1) = k1_lattices(sK1,X2,X1)
| v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(superposition,[],[f13692,f13633]) ).
fof(f13732,plain,
! [X2,X0,X1] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X2,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattices(X0,X2,X1) = k2_lattices(sK1,X2,X1)
| v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(superposition,[],[f13694,f13633]) ).
fof(f13735,plain,
! [X2,X0,X1] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| r1_lattices(sK1,X1,X2)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| v3_struct_0(sK1)
| ~ l3_lattices(sK1) ),
inference(superposition,[],[f13698,f13633]) ).
fof(f13736,plain,
! [X2,X0,X1] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ r1_lattices(sK1,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r1_lattices(X0,X1,X2)
| v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(superposition,[],[f13698,f13633]) ).
fof(f13737,plain,
! [X2,X0,X1] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ r1_lattices(sK1,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r1_lattices(X0,X1,X2)
| ~ l3_lattices(sK1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f13736,f13632]) ).
fof(f13738,plain,
! [X2,X0,X1] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| r1_lattices(sK1,X1,X2)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f13735,f13632]) ).
fof(f13741,plain,
! [X2,X0,X1] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X2,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattices(X0,X2,X1) = k2_lattices(sK1,X2,X1)
| ~ l3_lattices(sK1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f13732,f13632]) ).
fof(f13743,plain,
! [X2,X0,X1] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X2,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_lattices(X0,X2,X1) = k1_lattices(sK1,X2,X1)
| ~ l3_lattices(sK1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f13730,f13632]) ).
fof(f13745,plain,
! [X2,X0,X1] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ r1_lattices(sK1,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| r1_lattices(X0,X1,X2)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f13737,f13631]) ).
fof(f13746,plain,
! [X2,X0,X1] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ r1_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| r1_lattices(sK1,X1,X2)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f13738,f13631]) ).
fof(f13749,plain,
! [X2,X0,X1] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X2,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k2_lattices(X0,X2,X1) = k2_lattices(sK1,X2,X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f13741,f13631]) ).
fof(f13751,plain,
! [X2,X0,X1] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X2,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| k1_lattices(X0,X2,X1) = k1_lattices(sK1,X2,X1)
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f13743,f13631]) ).
fof(f13754,plain,
! [X0,X1] :
( ~ r1_lattices(sK1,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_lattices(sK0,X0,X1)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(equality_resolution,[],[f13745]) ).
fof(f13756,plain,
! [X0,X1] :
( ~ r1_lattices(sK1,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_lattices(sK0,X0,X1)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f13754,f13630]) ).
fof(f13757,plain,
! [X0,X1] :
( ~ r1_lattices(sK1,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r1_lattices(sK0,X0,X1) ),
inference(forward_subsumption_resolution,[],[f13756,f13629]) ).
fof(f13783,plain,
! [X0,X1] :
( ~ r1_lattices(sK0,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| r1_lattices(sK1,X0,X1)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(equality_resolution,[],[f13746]) ).
fof(f13785,plain,
! [X0,X1] :
( ~ r1_lattices(sK0,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| r1_lattices(sK1,X0,X1)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f13783,f13630]) ).
fof(f13786,plain,
! [X0,X1] :
( ~ r1_lattices(sK0,X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| r1_lattices(sK1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f13785,f13629]) ).
fof(f13787,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| k2_lattices(sK1,X1,X0) = k2_lattices(sK0,X1,X0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(equality_resolution,[],[f13749]) ).
fof(f13788,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| k2_lattices(sK1,X1,X0) = k2_lattices(sK0,X1,X0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f13787,f13630]) ).
fof(f13789,plain,
! [X0,X1] :
( k2_lattices(sK1,X1,X0) = k2_lattices(sK0,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f13788,f13629]) ).
fof(f13790,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| k1_lattices(sK1,X1,X0) = k1_lattices(sK0,X1,X0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(equality_resolution,[],[f13751]) ).
fof(f13791,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| k1_lattices(sK1,X1,X0) = k1_lattices(sK0,X1,X0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f13790,f13630]) ).
fof(f13792,plain,
! [X0,X1] :
( k1_lattices(sK1,X1,X0) = k1_lattices(sK0,X1,X0)
| ~ m1_subset_1(X1,u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f13791,f13629]) ).
fof(f13795,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| r1_lattices(sK1,sK4,sK5)
| ~ spl27_2 ),
inference(resolution,[],[f13786,f13706]) ).
fof(f13797,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| r1_lattices(sK1,sK4,sK5)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f13795,f13677]) ).
fof(f13800,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| r1_lattices(sK1,sK4,sK5)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f13797,f13678]) ).
fof(f13803,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK1))
| r1_lattices(sK1,sK4,sK5)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f13800,f13637]) ).
fof(f13813,plain,
( r1_lattices(sK1,sK4,sK5)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f13803,f13636]) ).
fof(f13822,plain,
( $false
| spl27_1
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f13813,f13701]) ).
fof(f13823,plain,
( spl27_1
| ~ spl27_2 ),
inference(avatar_contradiction_clause,[],[f13822]) ).
fof(f13872,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| r1_lattices(sK0,sK4,sK5)
| ~ spl27_1 ),
inference(resolution,[],[f13702,f13757]) ).
fof(f13890,plain,
( ~ sP26(k2_lattices(sK0,sK4,sK5))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(superposition,[],[f13689,f13789]) ).
fof(f13893,plain,
( ~ sP20(k2_lattices(sK0,sK4,sK5))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(superposition,[],[f13680,f13789]) ).
fof(f13931,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ spl27_5 ),
inference(forward_subsumption_resolution,[],[f13893,f13719]) ).
fof(f13934,plain,
( ~ sP26(k2_lattices(sK0,sK4,sK5))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f13890,f13636]) ).
fof(f13945,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ spl27_5 ),
inference(forward_subsumption_resolution,[],[f13931,f13636]) ).
fof(f13948,plain,
( ~ sP26(k2_lattices(sK0,sK4,sK5))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f13934,f13677]) ).
fof(f14024,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ spl27_5 ),
inference(forward_subsumption_resolution,[],[f13945,f13677]) ).
fof(f14027,plain,
( ~ sP26(k2_lattices(sK0,sK4,sK5))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f13948,f13678]) ).
fof(f14066,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ spl27_5 ),
inference(forward_subsumption_resolution,[],[f14024,f13678]) ).
fof(f14069,plain,
~ sP26(k2_lattices(sK0,sK4,sK5)),
inference(forward_subsumption_resolution,[],[f14027,f13637]) ).
fof(f14074,plain,
( $false
| ~ spl27_5 ),
inference(forward_subsumption_resolution,[],[f14066,f13637]) ).
fof(f14075,plain,
~ spl27_5,
inference(avatar_contradiction_clause,[],[f14074]) ).
fof(f14076,plain,
~ spl27_3,
inference(avatar_split_clause,[],[f14069,f13708]) ).
fof(f14077,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| r1_lattices(sK0,sK4,sK5)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f13872,f13637]) ).
fof(f14078,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| r1_lattices(sK0,sK4,sK5)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f14077,f13636]) ).
fof(f14079,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK0))
| r1_lattices(sK0,sK4,sK5)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f14078,f13677]) ).
fof(f14080,plain,
( r1_lattices(sK0,sK4,sK5)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f14079,f13678]) ).
fof(f14081,plain,
( $false
| ~ spl27_1
| spl27_2 ),
inference(forward_subsumption_resolution,[],[f14080,f13705]) ).
fof(f14082,plain,
( ~ spl27_1
| spl27_2 ),
inference(avatar_contradiction_clause,[],[f14081]) ).
fof(f14088,plain,
( ~ sP25(k1_lattices(sK0,sK4,sK5))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(superposition,[],[f13688,f13792]) ).
fof(f14091,plain,
( ~ sP19(k1_lattices(sK0,sK4,sK5))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(superposition,[],[f13679,f13792]) ).
fof(f14103,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK1))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ spl27_6 ),
inference(forward_subsumption_resolution,[],[f14091,f13723]) ).
fof(f14106,plain,
( ~ sP25(k1_lattices(sK0,sK4,sK5))
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f14088,f13636]) ).
fof(f14109,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ spl27_6 ),
inference(forward_subsumption_resolution,[],[f14103,f13636]) ).
fof(f14112,plain,
( ~ sP25(k1_lattices(sK0,sK4,sK5))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f14106,f13677]) ).
fof(f14115,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK0))
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ spl27_6 ),
inference(forward_subsumption_resolution,[],[f14109,f13677]) ).
fof(f14118,plain,
( ~ sP25(k1_lattices(sK0,sK4,sK5))
| ~ m1_subset_1(sK5,u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f14112,f13678]) ).
fof(f14153,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ spl27_6 ),
inference(forward_subsumption_resolution,[],[f14115,f13678]) ).
fof(f14156,plain,
~ sP25(k1_lattices(sK0,sK4,sK5)),
inference(forward_subsumption_resolution,[],[f14118,f13637]) ).
fof(f14157,plain,
( $false
| ~ spl27_6 ),
inference(forward_subsumption_resolution,[],[f14153,f13637]) ).
fof(f14158,plain,
~ spl27_6,
inference(avatar_contradiction_clause,[],[f14157]) ).
fof(f14159,plain,
~ spl27_4,
inference(avatar_split_clause,[],[f14156,f13712]) ).
cnf(s1,plain,
( spl27_1
| spl27_2
| spl27_3
| spl27_4 ),
inference(sat_conversion,[],[f13715]) ).
cnf(s2,plain,
( ~ spl27_1
| ~ spl27_2
| spl27_5
| spl27_6 ),
inference(sat_conversion,[],[f13724]) ).
cnf(s7,plain,
( spl27_1
| ~ spl27_2 ),
inference(sat_conversion,[],[f13823]) ).
cnf(s23,plain,
~ spl27_5,
inference(sat_conversion,[],[f14075]) ).
cnf(s24,plain,
~ spl27_3,
inference(sat_conversion,[],[f14076]) ).
cnf(s25,plain,
( ~ spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f14082]) ).
cnf(s28,plain,
~ spl27_6,
inference(sat_conversion,[],[f14158]) ).
cnf(s29,plain,
~ spl27_4,
inference(sat_conversion,[],[f14159]) ).
cnf(s30,plain,
( ~ spl27_1
| ~ spl27_2 ),
inference(rat,[],[s2,s28,s23]) ).
cnf(s31,plain,
( spl27_1
| spl27_2 ),
inference(rat,[],[s1,s29,s24]) ).
cnf(s32,plain,
spl27_1,
inference(rat,[],[s31,s7]) ).
cnf(s33,plain,
spl27_2,
inference(rat,[],[s25,s32]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s30,s33,s32]) ).
fof(f14160,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT295+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.32 % Computer : n012.cluster.edu
% 0.05/0.32 % Model : x86_64 x86_64
% 0.05/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.32 % Memory : 8046.5625MB
% 0.05/0.32 % OS : Linux 6.8.0-71-generic
% 0.05/0.32 % CPULimit : 300
% 0.05/0.32 % WCLimit : 300
% 0.05/0.32 % DateTime : Sun Sep 27 14:19:07 UTC 2026
% 0.05/0.32 % CPUTime :
% 0.05/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 Running first-order theorem proving
% 0.08/0.34 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.32/1.16 % (2428745)Detected formulas, will run a generic FOF schedule.
% 2.32/1.16 % (2428753)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4122978359:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 2.32/1.16 % (2428750)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3542709900:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 2.32/1.16 % (2428755)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3128367108:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 2.32/1.16 % (2428754)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3954977705:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 2.32/1.16 % (2428756)dis-21_1_sil=8000:lcm=predicate:random_seed=3594873324:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 2.32/1.16 % (2428751)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=77538821:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 2.32/1.16 % (2428752)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3989210589:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 2.32/1.16 % (2428755)Instruction limit reached!
% 2.32/1.16 % (2428755)------------------------------
% 2.32/1.16 % (2428755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/1.16 % (2428755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/1.16 % (2428755)CaDiCaL version: 2.1.3
% 2.32/1.16 % (2428755)Termination reason: Instruction limit
% 2.32/1.16 % (2428755)Termination phase: Property scanning
% 2.32/1.16 % (2428755)Time elapsed: 0.031 s
% 2.32/1.16 % (2428755)Peak memory usage: 102 MB
% 2.32/1.16 % (2428755)Instructions burned: 141 (million)
% 2.32/1.16 % (2428753)First to succeed.
% 2.32/1.16 % (2428753)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2428745"
% 2.32/1.16 % (2428756)Instruction limit reached!
% 2.32/1.16 % (2428756)------------------------------
% 2.32/1.16 % (2428756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/1.16 % (2428756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/1.16 % (2428756)CaDiCaL version: 2.1.3
% 2.32/1.16 % (2428756)Termination reason: Instruction limit
% 2.32/1.16 % (2428756)Termination phase: Preprocessing 1
% 2.32/1.16 % (2428756)Time elapsed: 0.055 s
% 2.32/1.16 % (2428756)Peak memory usage: 103 MB
% 2.32/1.16 % (2428756)Instructions burned: 132 (million)
% 2.32/1.16 % (2428754)Instruction limit reached!
% 2.32/1.16 % (2428754)------------------------------
% 2.32/1.16 % (2428754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.32/1.16 % (2428754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/1.16 % (2428754)CaDiCaL version: 2.1.3
% 2.32/1.16 % (2428754)Termination reason: Instruction limit
% 2.32/1.16 % (2428754)Termination phase: Property scanning
% 2.32/1.16 % (2428754)Time elapsed: 0.056 s
% 2.32/1.16 % (2428754)Peak memory usage: 106 MB
% 2.32/1.16 % (2428754)Instructions burned: 128 (million)
% 2.32/1.16 % (2428764)lrs+10_1_sil=8000:sp=occurrence:random_seed=3520837991:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 2.32/1.16 % (2428765)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1902703785:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 2.32/1.16 % (2428766)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4271037586:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 2.32/1.16 % (2428753)Refutation found. Thanks to Tanya!
% 2.32/1.16 % SZS status Theorem for theBenchmark
% 2.32/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.87/1.25 % (2428753)------------------------------
% 2.87/1.25 % (2428753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.25 % (2428753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.25 % (2428753)CaDiCaL version: 2.1.3
% 2.87/1.25 % (2428753)Termination reason: Refutation
% 2.87/1.25 % (2428753)Time elapsed: 0.043 s
% 2.87/1.25 % (2428753)Peak memory usage: 108 MB
% 2.87/1.25 % (2428753)Instructions burned: 99 (million)
% 2.87/1.25 % (2428753)------------------------------
% 2.87/1.25 % (2428753)------------------------------
% 2.87/1.25 % (2428745)Success in time 0.614 s
% 2.87/1.25 % Vampire exiting
%------------------------------------------------------------------------------