%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT295+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 2.50s 1.28s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 21
% Syntax : Number of formulae : 217 ( 41 unt; 12 def)
% Number of atoms : 841 ( 149 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 1100 ( 476 ~; 497 |; 77 &)
% ( 16 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 13 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-6 aty)
% Number of variables : 190 ( 0 sgn 178 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox/benchmark/theBenchmark.p',t8_filter_2) ).
fof(f2,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)],[f1]) ).
fof(f11,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l2_lattices(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/sandbox/benchmark/theBenchmark.p',d1_lattices) ).
fof(f12,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_lattices(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/sandbox/benchmark/theBenchmark.p',d2_lattices) ).
fof(f13,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l2_lattices(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/sandbox/benchmark/theBenchmark.p',d3_lattices) ).
fof(f30,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f34,axiom,
! [X0] :
( l1_lattices(X0)
=> ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f36,axiom,
! [X0] :
( l2_lattices(X0)
=> ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f52,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X0 = X3
& X1 = X4
& X2 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f67,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f78,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,[],[f2]) ).
fof(f79,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,[],[f78]) ).
fof(f81,plain,
! [X0] :
( ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(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(ennf_transformation,[],[f36]) ).
fof(f82,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)) )
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f83,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)) )
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f82]) ).
fof(f86,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f89,plain,
! [X0] :
( ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(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(ennf_transformation,[],[f34]) ).
fof(f90,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)) )
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f91,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)) )
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f92]) ).
fof(f96,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)) )
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f97,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)) )
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f96]) ).
fof(f117,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)],[f79]) ).
fof(f122,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)) )
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(nnf_transformation,[],[f97]) ).
fof(f126,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(f135,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f117]) ).
fof(f136,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f117]) ).
fof(f137,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f117]) ).
fof(f138,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f117]) ).
fof(f139,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,[],[f117]) ).
fof(f140,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f117]) ).
fof(f141,plain,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f117]) ).
fof(f142,plain,
m1_subset_1(sK4,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f117]) ).
fof(f143,plain,
m1_subset_1(sK5,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f117]) ).
fof(f144,plain,
sK3 = sK5,
inference(cnf_transformation,[],[f117]) ).
fof(f145,plain,
sK2 = sK4,
inference(cnf_transformation,[],[f117]) ).
fof(f146,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,[],[f117]) ).
fof(f149,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,[],[f117]) ).
fof(f151,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,[],[f81]) ).
fof(f152,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,[],[f81]) ).
fof(f153,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ 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)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f162,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f163,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f166,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,[],[f89]) ).
fof(f167,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,[],[f89]) ).
fof(f168,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ 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)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f171,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X2 = X5
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f172,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X1 = X4
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f173,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ 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))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f177,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))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f188,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f206,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,[],[f149,f145,f144,f145,f144,f145,f144]) ).
fof(f209,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,[],[f146,f145,f144,f145,f144,f145,f144]) ).
fof(f210,plain,
m1_subset_1(sK5,u1_struct_0(sK0)),
inference(definition_unfolding,[],[f141,f144]) ).
fof(f211,plain,
m1_subset_1(sK4,u1_struct_0(sK0)),
inference(definition_unfolding,[],[f140,f145]) ).
fof(f213,definition,
( spl21_1
<=> r1_lattices(sK1,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
fof(f215,plain,
( r1_lattices(sK1,sK4,sK5)
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f217,definition,
( spl21_2
<=> r1_lattices(sK0,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
fof(f218,plain,
( ~ r1_lattices(sK0,sK4,sK5)
| spl21_2 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f219,plain,
( r1_lattices(sK0,sK4,sK5)
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f221,definition,
( spl21_3
<=> k2_lattices(sK1,sK4,sK5) = k2_lattices(sK0,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl21_3])],[avatar_definition]) ).
fof(f223,plain,
( k2_lattices(sK1,sK4,sK5) != k2_lattices(sK0,sK4,sK5)
| spl21_3 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f225,definition,
( spl21_4
<=> k1_lattices(sK1,sK4,sK5) = k1_lattices(sK0,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl21_4])],[avatar_definition]) ).
fof(f226,plain,
( k1_lattices(sK1,sK4,sK5) = k1_lattices(sK0,sK4,sK5)
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f227,plain,
( k1_lattices(sK1,sK4,sK5) != k1_lattices(sK0,sK4,sK5)
| spl21_4 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f228,plain,
( spl21_1
| spl21_2
| ~ spl21_3
| ~ spl21_4 ),
inference(avatar_split_clause,[],[f209,f225,f221,f217,f213]) ).
fof(f229,plain,
( ~ spl21_2
| ~ spl21_1
| ~ spl21_3
| ~ spl21_4 ),
inference(avatar_split_clause,[],[f206,f225,f221,f213,f217]) ).
fof(f230,plain,
l2_lattices(sK0),
inference(resolution,[],[f162,f135]) ).
fof(f231,plain,
l2_lattices(sK1),
inference(resolution,[],[f162,f137]) ).
fof(f235,plain,
l1_lattices(sK0),
inference(resolution,[],[f163,f135]) ).
fof(f236,plain,
l1_lattices(sK1),
inference(resolution,[],[f163,f137]) ).
fof(f263,plain,
! [X0] :
( m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(resolution,[],[f151,f188]) ).
fof(f267,plain,
! [X0] :
( m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(resolution,[],[f166,f188]) ).
fof(f277,plain,
! [X0] :
( k1_lattices(sK1,X0,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l2_lattices(sK1) ),
inference(resolution,[],[f154,f143]) ).
fof(f278,plain,
! [X0] :
( k1_lattices(sK0,X0,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l2_lattices(sK0) ),
inference(resolution,[],[f154,f210]) ).
fof(f286,plain,
! [X0] :
( k1_lattices(sK0,X0,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l2_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f278,f136]) ).
fof(f287,plain,
! [X0] :
( k1_lattices(sK1,X0,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l2_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f277,f138]) ).
fof(f290,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k1_lattices(sK0,X0,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u2_lattices(sK0),X0,sK5) ),
inference(forward_subsumption_resolution,[],[f286,f230]) ).
fof(f291,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| k1_lattices(sK1,X0,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),X0,sK5) ),
inference(forward_subsumption_resolution,[],[f287,f231]) ).
fof(f294,plain,
! [X0] :
( k2_lattices(sK1,X0,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l1_lattices(sK1) ),
inference(resolution,[],[f169,f143]) ).
fof(f295,plain,
! [X0] :
( k2_lattices(sK0,X0,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l1_lattices(sK0) ),
inference(resolution,[],[f169,f210]) ).
fof(f303,plain,
! [X0] :
( k2_lattices(sK0,X0,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ l1_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f295,f136]) ).
fof(f304,plain,
! [X0] :
( k2_lattices(sK1,X0,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),X0,sK5)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l1_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f294,f138]) ).
fof(f307,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k2_lattices(sK0,X0,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),X0,sK5) ),
inference(forward_subsumption_resolution,[],[f303,f235]) ).
fof(f308,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| k2_lattices(sK1,X0,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),X0,sK5) ),
inference(forward_subsumption_resolution,[],[f304,f236]) ).
fof(f413,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
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(superposition,[],[f171,f139]) ).
fof(f477,definition,
( spl21_25
<=> m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl21_25])],[avatar_definition]) ).
fof(f478,plain,
( m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl21_25 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f479,plain,
( ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl21_25 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f481,definition,
( spl21_26
<=> v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl21_26])],[avatar_definition]) ).
fof(f482,plain,
( v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl21_26 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f483,plain,
( ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl21_26 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f485,definition,
( spl21_27
<=> v1_funct_1(u1_lattices(sK1)) ),
introduced(definition,[new_symbols(definition,[spl21_27])],[avatar_definition]) ).
fof(f486,plain,
( v1_funct_1(u1_lattices(sK1))
| ~ spl21_27 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f487,plain,
( ~ v1_funct_1(u1_lattices(sK1))
| spl21_27 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f489,definition,
( spl21_28
<=> m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl21_28])],[avatar_definition]) ).
fof(f490,plain,
( m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl21_28 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f491,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl21_28 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f493,definition,
( spl21_29
<=> v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl21_29])],[avatar_definition]) ).
fof(f494,plain,
( v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl21_29 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f495,plain,
( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl21_29 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f497,definition,
( spl21_30
<=> v1_funct_1(u2_lattices(sK1)) ),
introduced(definition,[new_symbols(definition,[spl21_30])],[avatar_definition]) ).
fof(f498,plain,
( v1_funct_1(u2_lattices(sK1))
| ~ spl21_30 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f499,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| spl21_30 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f501,definition,
( spl21_31
<=> ! [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(definition,[new_symbols(definition,[spl21_31])],[avatar_definition]) ).
fof(f502,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 )
| ~ spl21_31 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f503,plain,
( ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30
| spl21_31 ),
inference(avatar_split_clause,[],[f413,f501,f497,f493,f489,f485,f481,f477]) ).
fof(f504,plain,
( ~ l2_lattices(sK1)
| spl21_30 ),
inference(resolution,[],[f499,f153]) ).
fof(f505,plain,
( $false
| spl21_30 ),
inference(forward_subsumption_resolution,[],[f504,f231]) ).
fof(f506,plain,
spl21_30,
inference(avatar_contradiction_clause,[],[f505]) ).
fof(f507,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
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(superposition,[],[f172,f139]) ).
fof(f514,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
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(superposition,[],[f173,f139]) ).
fof(f521,plain,
( ~ l1_lattices(sK1)
| spl21_25 ),
inference(resolution,[],[f479,f267]) ).
fof(f522,plain,
( $false
| spl21_25 ),
inference(forward_subsumption_resolution,[],[f521,f236]) ).
fof(f523,plain,
spl21_25,
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f546,plain,
( ~ l1_lattices(sK1)
| spl21_26 ),
inference(resolution,[],[f483,f167]) ).
fof(f547,plain,
( $false
| spl21_26 ),
inference(forward_subsumption_resolution,[],[f546,f236]) ).
fof(f548,plain,
spl21_26,
inference(avatar_contradiction_clause,[],[f547]) ).
fof(f549,plain,
( ~ l1_lattices(sK1)
| spl21_27 ),
inference(resolution,[],[f487,f168]) ).
fof(f550,plain,
( $false
| spl21_27 ),
inference(forward_subsumption_resolution,[],[f549,f236]) ).
fof(f551,plain,
spl21_27,
inference(avatar_contradiction_clause,[],[f550]) ).
fof(f583,plain,
( ~ l2_lattices(sK1)
| spl21_28 ),
inference(resolution,[],[f491,f263]) ).
fof(f584,plain,
( $false
| spl21_28 ),
inference(forward_subsumption_resolution,[],[f583,f231]) ).
fof(f585,plain,
spl21_28,
inference(avatar_contradiction_clause,[],[f584]) ).
fof(f607,plain,
( ~ l2_lattices(sK1)
| spl21_29 ),
inference(resolution,[],[f495,f152]) ).
fof(f608,plain,
( $false
| spl21_29 ),
inference(forward_subsumption_resolution,[],[f607,f231]) ).
fof(f609,plain,
spl21_29,
inference(avatar_contradiction_clause,[],[f608]) ).
fof(f610,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
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) )
| ~ spl21_30 ),
inference(forward_subsumption_resolution,[],[f507,f498]) ).
fof(f611,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
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) )
| ~ spl21_30 ),
inference(forward_subsumption_resolution,[],[f514,f498]) ).
fof(f617,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(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) )
| ~ spl21_29
| ~ spl21_30 ),
inference(forward_subsumption_resolution,[],[f610,f494]) ).
fof(f618,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(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) )
| ~ spl21_29
| ~ spl21_30 ),
inference(forward_subsumption_resolution,[],[f611,f494]) ).
fof(f624,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
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) )
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30 ),
inference(forward_subsumption_resolution,[],[f617,f490]) ).
fof(f625,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
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) )
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30 ),
inference(forward_subsumption_resolution,[],[f618,f490]) ).
fof(f628,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
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) )
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30 ),
inference(forward_subsumption_resolution,[],[f624,f486]) ).
fof(f629,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
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) )
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30 ),
inference(forward_subsumption_resolution,[],[f625,f486]) ).
fof(f630,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)) )
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30 ),
inference(forward_subsumption_resolution,[],[f628,f482]) ).
fof(f631,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)) )
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30 ),
inference(forward_subsumption_resolution,[],[f629,f482]) ).
fof(f632,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 )
| ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30 ),
inference(forward_subsumption_resolution,[],[f630,f478]) ).
fof(f633,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 )
| ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30 ),
inference(forward_subsumption_resolution,[],[f631,f478]) ).
fof(f636,plain,
( u1_lattices(sK0) = u1_lattices(sK1)
| ~ spl21_31 ),
inference(equality_resolution,[],[f502]) ).
fof(f671,plain,
( u2_lattices(sK0) = u2_lattices(sK1)
| ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30 ),
inference(equality_resolution,[],[f632]) ).
fof(f674,plain,
( u1_struct_0(sK1) = u1_struct_0(sK0)
| ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30 ),
inference(equality_resolution,[],[f633]) ).
fof(f693,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),
inference(resolution,[],[f290,f211]) ).
fof(f753,plain,
k1_lattices(sK1,sK4,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK1),sK4,sK5),
inference(resolution,[],[f291,f142]) ).
fof(f766,plain,
( k1_lattices(sK1,sK4,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u2_lattices(sK0),sK4,sK5)
| ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30 ),
inference(forward_demodulation,[],[f753,f671]) ).
fof(f772,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)
| ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30 ),
inference(forward_demodulation,[],[f766,f674]) ).
fof(f778,plain,
( k1_lattices(sK1,sK4,sK5) = k1_lattices(sK0,sK4,sK5)
| ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30 ),
inference(forward_demodulation,[],[f772,f693]) ).
fof(f782,plain,
( $false
| spl21_4
| ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30 ),
inference(forward_subsumption_resolution,[],[f778,f227]) ).
fof(f783,plain,
( spl21_4
| ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30 ),
inference(avatar_contradiction_clause,[],[f782]) ).
fof(f788,plain,
( sK5 != k1_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))
| v3_struct_0(sK1)
| ~ l2_lattices(sK1)
| ~ spl21_4 ),
inference(superposition,[],[f177,f226]) ).
fof(f791,plain,
( sK5 != k1_lattices(sK0,sK4,sK5)
| r1_lattices(sK1,sK4,sK5)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l2_lattices(sK1)
| ~ spl21_4 ),
inference(forward_subsumption_resolution,[],[f788,f143]) ).
fof(f793,plain,
( sK5 != k1_lattices(sK0,sK4,sK5)
| r1_lattices(sK1,sK4,sK5)
| v3_struct_0(sK1)
| ~ l2_lattices(sK1)
| ~ spl21_4 ),
inference(forward_subsumption_resolution,[],[f791,f142]) ).
fof(f795,plain,
( sK5 != k1_lattices(sK0,sK4,sK5)
| r1_lattices(sK1,sK4,sK5)
| ~ l2_lattices(sK1)
| ~ spl21_4 ),
inference(forward_subsumption_resolution,[],[f793,f138]) ).
fof(f797,plain,
( sK5 != k1_lattices(sK0,sK4,sK5)
| r1_lattices(sK1,sK4,sK5)
| ~ spl21_4 ),
inference(forward_subsumption_resolution,[],[f795,f231]) ).
fof(f800,definition,
( spl21_39
<=> sK5 = k1_lattices(sK0,sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl21_39])],[avatar_definition]) ).
fof(f801,plain,
( sK5 = k1_lattices(sK0,sK4,sK5)
| ~ spl21_39 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f802,plain,
( sK5 != k1_lattices(sK0,sK4,sK5)
| spl21_39 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f803,plain,
( spl21_1
| ~ spl21_39
| ~ spl21_4 ),
inference(avatar_split_clause,[],[f797,f225,f800,f213]) ).
fof(f859,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),
inference(resolution,[],[f307,f211]) ).
fof(f891,plain,
k2_lattices(sK1,sK4,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK1),sK4,sK5),
inference(resolution,[],[f308,f142]) ).
fof(f904,plain,
( k2_lattices(sK1,sK4,sK5) = k2_binop_1(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1),u1_lattices(sK0),sK4,sK5)
| ~ spl21_31 ),
inference(forward_demodulation,[],[f891,f636]) ).
fof(f910,plain,
( k2_lattices(sK1,sK4,sK5) = k2_binop_1(u1_struct_0(sK0),u1_struct_0(sK0),u1_struct_0(sK0),u1_lattices(sK0),sK4,sK5)
| ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30
| ~ spl21_31 ),
inference(forward_demodulation,[],[f904,f674]) ).
fof(f916,plain,
( k2_lattices(sK1,sK4,sK5) = k2_lattices(sK0,sK4,sK5)
| ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30
| ~ spl21_31 ),
inference(forward_demodulation,[],[f910,f859]) ).
fof(f920,plain,
( $false
| spl21_3
| ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30
| ~ spl21_31 ),
inference(forward_subsumption_resolution,[],[f916,f223]) ).
fof(f921,plain,
( spl21_3
| ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30
| ~ spl21_31 ),
inference(avatar_contradiction_clause,[],[f920]) ).
fof(f926,plain,
( sK5 = k1_lattices(sK0,sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l2_lattices(sK0)
| ~ spl21_2 ),
inference(resolution,[],[f219,f176]) ).
fof(f927,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l2_lattices(sK0)
| ~ spl21_2
| spl21_39 ),
inference(forward_subsumption_resolution,[],[f926,f802]) ).
fof(f928,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l2_lattices(sK0)
| ~ spl21_2
| spl21_39 ),
inference(forward_subsumption_resolution,[],[f927,f210]) ).
fof(f929,plain,
( v3_struct_0(sK0)
| ~ l2_lattices(sK0)
| ~ spl21_2
| spl21_39 ),
inference(forward_subsumption_resolution,[],[f928,f211]) ).
fof(f930,plain,
( ~ l2_lattices(sK0)
| ~ spl21_2
| spl21_39 ),
inference(forward_subsumption_resolution,[],[f929,f136]) ).
fof(f931,plain,
( $false
| ~ spl21_2
| spl21_39 ),
inference(forward_subsumption_resolution,[],[f930,f230]) ).
fof(f932,plain,
( ~ spl21_2
| spl21_39 ),
inference(avatar_contradiction_clause,[],[f931]) ).
fof(f933,plain,
( sK5 = k1_lattices(sK1,sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK1))
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l2_lattices(sK1)
| ~ spl21_1 ),
inference(resolution,[],[f215,f176]) ).
fof(f934,plain,
( sK5 = k1_lattices(sK1,sK4,sK5)
| ~ m1_subset_1(sK4,u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ l2_lattices(sK1)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f933,f143]) ).
fof(f935,plain,
( sK5 = k1_lattices(sK1,sK4,sK5)
| v3_struct_0(sK1)
| ~ l2_lattices(sK1)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f934,f142]) ).
fof(f936,plain,
( sK5 = k1_lattices(sK1,sK4,sK5)
| ~ l2_lattices(sK1)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f935,f138]) ).
fof(f937,plain,
( sK5 = k1_lattices(sK1,sK4,sK5)
| ~ spl21_1 ),
inference(forward_subsumption_resolution,[],[f936,f231]) ).
fof(f938,plain,
( sK5 = k1_lattices(sK0,sK4,sK5)
| ~ spl21_1
| ~ spl21_4 ),
inference(superposition,[],[f937,f226]) ).
fof(f945,plain,
( $false
| ~ spl21_1
| ~ spl21_4
| spl21_39 ),
inference(forward_subsumption_resolution,[],[f938,f802]) ).
fof(f946,plain,
( ~ spl21_1
| ~ spl21_4
| spl21_39 ),
inference(avatar_contradiction_clause,[],[f945]) ).
fof(f954,plain,
( sK5 != sK5
| r1_lattices(sK0,sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l2_lattices(sK0)
| ~ spl21_39 ),
inference(superposition,[],[f177,f801]) ).
fof(f956,plain,
( r1_lattices(sK0,sK4,sK5)
| ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l2_lattices(sK0)
| ~ spl21_39 ),
inference(trivial_inequality_removal,[],[f954]) ).
fof(f957,plain,
( ~ m1_subset_1(sK5,u1_struct_0(sK0))
| ~ m1_subset_1(sK4,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l2_lattices(sK0)
| spl21_2
| ~ spl21_39 ),
inference(forward_subsumption_resolution,[],[f956,f218]) ).
fof(f958,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ l2_lattices(sK0)
| spl21_2
| ~ spl21_39 ),
inference(forward_subsumption_resolution,[],[f957,f210]) ).
fof(f959,plain,
( v3_struct_0(sK0)
| ~ l2_lattices(sK0)
| spl21_2
| ~ spl21_39 ),
inference(forward_subsumption_resolution,[],[f958,f211]) ).
fof(f960,plain,
( ~ l2_lattices(sK0)
| spl21_2
| ~ spl21_39 ),
inference(forward_subsumption_resolution,[],[f959,f136]) ).
fof(f961,plain,
( $false
| spl21_2
| ~ spl21_39 ),
inference(forward_subsumption_resolution,[],[f960,f230]) ).
fof(f962,plain,
( spl21_2
| ~ spl21_39 ),
inference(avatar_contradiction_clause,[],[f961]) ).
cnf(s1,plain,
( spl21_1
| spl21_2
| ~ spl21_3
| ~ spl21_4 ),
inference(sat_conversion,[],[f228]) ).
cnf(s2,plain,
( ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4 ),
inference(sat_conversion,[],[f229]) ).
cnf(s10,plain,
( ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30
| spl21_31 ),
inference(sat_conversion,[],[f503]) ).
cnf(s11,plain,
spl21_30,
inference(sat_conversion,[],[f506]) ).
cnf(s12,plain,
spl21_25,
inference(sat_conversion,[],[f523]) ).
cnf(s14,plain,
spl21_26,
inference(sat_conversion,[],[f548]) ).
cnf(s15,plain,
spl21_27,
inference(sat_conversion,[],[f551]) ).
cnf(s19,plain,
spl21_28,
inference(sat_conversion,[],[f585]) ).
cnf(s20,plain,
spl21_29,
inference(sat_conversion,[],[f609]) ).
cnf(s23,plain,
( spl21_4
| ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30 ),
inference(sat_conversion,[],[f783]) ).
cnf(s24,plain,
( spl21_1
| ~ spl21_4
| ~ spl21_39 ),
inference(sat_conversion,[],[f803]) ).
cnf(s26,plain,
( spl21_3
| ~ spl21_25
| ~ spl21_26
| ~ spl21_27
| ~ spl21_28
| ~ spl21_29
| ~ spl21_30
| ~ spl21_31 ),
inference(sat_conversion,[],[f921]) ).
cnf(s27,plain,
( ~ spl21_2
| spl21_39 ),
inference(sat_conversion,[],[f932]) ).
cnf(s29,plain,
( ~ spl21_1
| ~ spl21_4
| spl21_39 ),
inference(sat_conversion,[],[f946]) ).
cnf(s30,plain,
( spl21_2
| ~ spl21_39 ),
inference(sat_conversion,[],[f962]) ).
cnf(s35,plain,
spl21_4,
inference(rat,[],[s23,s12,s20,s19,s15,s14,s11]) ).
cnf(s36,plain,
spl21_31,
inference(rat,[],[s10,s11,s20,s19,s15,s14,s12]) ).
cnf(s37,plain,
spl21_3,
inference(rat,[],[s26,s11,s12,s20,s19,s15,s14,s36]) ).
cnf(s40,plain,
( ~ spl21_1
| ~ spl21_2 ),
inference(rat,[],[s2,s35,s37]) ).
cnf(s41,plain,
( spl21_1
| spl21_2 ),
inference(rat,[],[s1,s35,s37]) ).
cnf(s42,plain,
spl21_1,
inference(rat,[],[s27,s41,s24,s35]) ).
cnf(s43,plain,
spl21_39,
inference(rat,[],[s29,s35,s42]) ).
cnf(s44,plain,
~ spl21_2,
inference(rat,[],[s40,s42]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s30,s43,s44]) ).
fof(f963,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT295+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 14:17:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.50/1.28 % (1453896)Detected formulas, will run a generic FOF schedule.
% 2.50/1.28 % (1453907)dis-21_1_sil=8000:lcm=predicate:random_seed=509447280:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.50/1.28 % (1453906)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=126907588:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.50/1.28 % (1453905)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1988094071:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.50/1.28 % (1453901)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=347485356:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.50/1.28 % (1453904)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2298682470:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.50/1.28 % (1453902)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=3176965927:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.50/1.28 % (1453903)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=157868858:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.50/1.28 % (1453904)Refutation not found, incomplete strategy
% 2.50/1.28 % (1453904)------------------------------
% 2.50/1.28 % (1453904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28 % (1453904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28 % (1453904)CaDiCaL version: 2.1.3
% 2.50/1.28 % (1453904)Termination reason: Refutation not found, incomplete strategy
% 2.50/1.28 % (1453904)Time elapsed: 0.002 s
% 2.50/1.28 % (1453904)Peak memory usage: 88 MB
% 2.50/1.28 % (1453904)Instructions burned: 1 (million)
% 2.50/1.28 % (1453907)Instruction limit reached!
% 2.50/1.28 % (1453907)------------------------------
% 2.50/1.28 % (1453907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28 % (1453907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28 % (1453907)CaDiCaL version: 2.1.3
% 2.50/1.28 % (1453907)Termination reason: Instruction limit
% 2.50/1.28 % (1453907)Termination phase: Saturation
% 2.50/1.28 % (1453907)Time elapsed: 0.039 s
% 2.50/1.28 % (1453907)Peak memory usage: 90 MB
% 2.50/1.28 % (1453907)Instructions burned: 131 (million)
% 2.50/1.28 % (1453905)Instruction limit reached!
% 2.50/1.28 % (1453905)------------------------------
% 2.50/1.28 % (1453905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28 % (1453905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28 % (1453905)CaDiCaL version: 2.1.3
% 2.50/1.28 % (1453905)Termination reason: Instruction limit
% 2.50/1.28 % (1453905)Termination phase: Saturation
% 2.50/1.28 % (1453905)Time elapsed: 0.068 s
% 2.50/1.28 % (1453905)Peak memory usage: 88 MB
% 2.50/1.28 % (1453905)Instructions burned: 119 (million)
% 2.50/1.28 % (1453906)Instruction limit reached!
% 2.50/1.28 % (1453906)------------------------------
% 2.50/1.28 % (1453906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28 % (1453906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28 % (1453906)CaDiCaL version: 2.1.3
% 2.50/1.28 % (1453906)Termination reason: Instruction limit
% 2.50/1.28 % (1453906)Termination phase: Saturation
% 2.50/1.28 % (1453906)Time elapsed: 0.088 s
% 2.50/1.28 % (1453906)Peak memory usage: 90 MB
% 2.50/1.28 % (1453906)Instructions burned: 140 (million)
% 2.50/1.28 % (1453915)lrs+10_1_sil=8000:sp=occurrence:random_seed=611084812:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.50/1.28 % (1453915)First to succeed.
% 2.50/1.28 % (1453915)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1453896"
% 2.50/1.28 % (1453916)lrs+10_1_sil=32000:urr=on:br=off:random_seed=369251008:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.50/1.28 % (1453917)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2978912534:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.50/1.28 % (1453917)Refutation not found, incomplete strategy
% 2.50/1.28 % (1453917)------------------------------
% 2.50/1.28 % (1453917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28 % (1453917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28 % (1453917)CaDiCaL version: 2.1.3
% 2.50/1.28 % (1453917)Termination reason: Refutation not found, incomplete strategy
% 2.50/1.28 % (1453917)Time elapsed: 0.011 s
% 2.50/1.28 % (1453917)Peak memory usage: 89 MB
% 2.50/1.28 % (1453917)Instructions burned: 14 (million)
% 2.50/1.28 % (1453904)------------------------------
% 2.50/1.28 % (1453904)------------------------------
% 2.50/1.28 % (1453916)Instruction limit reached!
% 2.50/1.28 % (1453916)------------------------------
% 2.50/1.28 % (1453916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28 % (1453916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28 % (1453916)CaDiCaL version: 2.1.3
% 2.50/1.28 % (1453916)Termination reason: Instruction limit
% 2.50/1.28 % (1453916)Termination phase: Saturation
% 2.50/1.28 % (1453916)Time elapsed: 0.074 s
% 2.50/1.28 % (1453916)Peak memory usage: 92 MB
% 2.50/1.28 % (1453916)Instructions burned: 157 (million)
% 2.50/1.28 % (1453915)Refutation found. Thanks to Tanya!
% 2.50/1.28 % SZS status Theorem for theBenchmark
% 2.50/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.47 % (1453915)------------------------------
% 3.65/1.47 % (1453915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.47 % (1453915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.47 % (1453915)CaDiCaL version: 2.1.3
% 3.65/1.47 % (1453915)Termination reason: Refutation
% 3.65/1.47 % (1453915)Time elapsed: 0.014 s
% 3.65/1.47 % (1453915)Peak memory usage: 90 MB
% 3.65/1.47 % (1453915)Instructions burned: 38 (million)
% 3.65/1.47 % (1453915)------------------------------
% 3.65/1.47 % (1453915)------------------------------
% 3.65/1.47 % (1453896)Success in time 0.435 s
% 3.65/1.47 % Vampire exiting
%------------------------------------------------------------------------------