%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT296+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 : n003.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 11:46:38 AM UTC 2026
% Result : Theorem 3.32s 1.37s
% Output : Refutation 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 23
% Syntax : Number of formulae : 208 ( 42 unt; 13 def)
% Number of atoms : 1113 ( 100 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 1615 ( 710 ~; 752 |; 104 &)
% ( 17 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 14 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 197 ( 0 sgn 189 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(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(X1))
=> ( X2 = X3
=> k7_lattices(X0,X2) = k7_lattices(X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(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(X1))
=> ( X2 = X3
=> k7_lattices(X0,X2) = k7_lattices(X1,X3) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f12,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f15,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( X2 = k7_lattices(X0,X1)
<=> r2_lattices(X0,X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d21_lattices) ).
fof(f20,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_lattices) ).
fof(f24,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f28,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(f30,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(f47,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(f64,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(f66,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(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
& r2_lattices(X0,X2,X3) )
=> r2_lattices(X1,X4,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_filter_2) ).
fof(f89,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_lattices(X0,X2) != k7_lattices(X1,X3)
& X2 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
& 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)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f90,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k7_lattices(X0,X2) != k7_lattices(X1,X3)
& X2 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
& 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)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f89]) ).
fof(f106,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f107,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f106]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k7_lattices(X0,X1)
<=> r2_lattices(X0,X2,X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k7_lattices(X0,X1)
<=> r2_lattices(X0,X2,X1) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f112]) ).
fof(f116,plain,
! [X0,X1] :
( m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f117,plain,
! [X0,X1] :
( m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f116]) ).
fof(f120,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f122,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,[],[f28]) ).
fof(f123,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,[],[f30]) ).
fof(f138,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,[],[f47]) ).
fof(f139,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,[],[f138]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( r2_lattices(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ r2_lattices(X0,X2,X3)
| ~ 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)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( r2_lattices(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ r2_lattices(X0,X2,X3)
| ~ 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)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f143]) ).
fof(f155,plain,
( k7_lattices(sK0,sK2) != k7_lattices(sK1,sK3)
& sK2 = sK3
& m1_subset_1(sK3,u1_struct_0(sK1))
& 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)
& v10_lattices(sK1)
& v17_lattices(sK1)
& l3_lattices(sK1)
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& v17_lattices(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f90]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k7_lattices(X0,X1)
| ~ r2_lattices(X0,X2,X1) )
& ( r2_lattices(X0,X2,X1)
| k7_lattices(X0,X1) != X2 ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f113]) ).
fof(f180,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,[],[f64]) ).
fof(f181,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f155]) ).
fof(f182,plain,
v17_lattices(sK0),
inference(cnf_transformation,[],[f155]) ).
fof(f183,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f155]) ).
fof(f184,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f155]) ).
fof(f185,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f155]) ).
fof(f186,plain,
v17_lattices(sK1),
inference(cnf_transformation,[],[f155]) ).
fof(f187,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f155]) ).
fof(f188,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f155]) ).
fof(f189,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,[],[f155]) ).
fof(f190,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f155]) ).
fof(f192,plain,
sK2 = sK3,
inference(cnf_transformation,[],[f155]) ).
fof(f193,plain,
k7_lattices(sK0,sK2) != k7_lattices(sK1,sK3),
inference(cnf_transformation,[],[f155]) ).
fof(f214,plain,
! [X0] :
( v16_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f215,plain,
! [X0] :
( v15_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f218,plain,
! [X0] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f230,plain,
! [X2,X0,X1] :
( r2_lattices(X0,X2,X1)
| k7_lattices(X0,X1) != X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f231,plain,
! [X2,X0,X1] :
( k7_lattices(X0,X1) = X2
| ~ r2_lattices(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f234,plain,
! [X0,X1] :
( m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f237,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f238,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f240,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,[],[f122]) ).
fof(f241,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,[],[f122]) ).
fof(f242,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f243,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,[],[f123]) ).
fof(f244,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,[],[f123]) ).
fof(f245,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f273,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ v1_funct_1(X1)
| X0 = X3
| ~ 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,[],[f139]) ).
fof(f362,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f180]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_lattices(X1,X4,X5)
| X2 != X4
| X3 != X5
| ~ r2_lattices(X0,X2,X3)
| ~ 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)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f374,plain,
! [X0,X1] :
( r2_lattices(X0,k7_lattices(X0,X1),X1)
| ~ m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f230]) ).
fof(f375,plain,
! [X3,X0,X1,X4,X5] :
( r2_lattices(X1,X4,X5)
| X3 != X5
| ~ r2_lattices(X0,X4,X3)
| ~ 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)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f365]) ).
fof(f376,plain,
! [X0,X1,X4,X5] :
( r2_lattices(X1,X4,X5)
| ~ r2_lattices(X0,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))
| 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)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f375]) ).
fof(f377,plain,
! [X0,X1] :
( r2_lattices(X0,k7_lattices(X0,X1),X1)
| ~ m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f374]) ).
fof(f378,plain,
! [X2,X0,X1] :
( ~ r2_lattices(X0,X2,X1)
| k7_lattices(X0,X1) = X2
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(duplicate_literal_removal,[],[f231]) ).
fof(f380,plain,
k7_lattices(sK0,sK2) != k7_lattices(sK1,sK2),
inference(forward_demodulation,[],[f193,f192]) ).
fof(f489,plain,
! [X0,X1] :
( r2_lattices(X0,k7_lattices(X0,X1),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f377,f234]) ).
fof(f502,definition,
( spl27_7
<=> 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,[spl27_7])],[avatar_definition]) ).
fof(f503,plain,
( m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl27_7 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f504,plain,
( ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl27_7 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f506,definition,
( spl27_8
<=> 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,[spl27_8])],[avatar_definition]) ).
fof(f507,plain,
( v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl27_8 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f508,plain,
( ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl27_8 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f510,definition,
( spl27_9
<=> v1_funct_1(u1_lattices(sK1)) ),
introduced(definition,[new_symbols(definition,[spl27_9])],[avatar_definition]) ).
fof(f511,plain,
( v1_funct_1(u1_lattices(sK1))
| ~ spl27_9 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f512,plain,
( ~ v1_funct_1(u1_lattices(sK1))
| spl27_9 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f514,definition,
( spl27_10
<=> 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,[spl27_10])],[avatar_definition]) ).
fof(f515,plain,
( m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl27_10 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f516,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl27_10 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f518,definition,
( spl27_11
<=> 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,[spl27_11])],[avatar_definition]) ).
fof(f519,plain,
( v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl27_11 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f520,plain,
( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl27_11 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f522,definition,
( spl27_12
<=> v1_funct_1(u2_lattices(sK1)) ),
introduced(definition,[new_symbols(definition,[spl27_12])],[avatar_definition]) ).
fof(f523,plain,
( v1_funct_1(u2_lattices(sK1))
| ~ spl27_12 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f524,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| spl27_12 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f530,plain,
( ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl27_7 ),
inference(resolution,[],[f504,f362]) ).
fof(f533,plain,
( ~ l1_lattices(sK1)
| spl27_7 ),
inference(resolution,[],[f530,f240]) ).
fof(f535,plain,
( ~ l3_lattices(sK1)
| spl27_7 ),
inference(resolution,[],[f533,f238]) ).
fof(f536,plain,
( $false
| spl27_7 ),
inference(forward_subsumption_resolution,[],[f535,f185]) ).
fof(f537,plain,
spl27_7,
inference(avatar_contradiction_clause,[],[f536]) ).
fof(f560,plain,
( ~ l1_lattices(sK1)
| spl27_8 ),
inference(resolution,[],[f508,f241]) ).
fof(f567,plain,
( ~ l3_lattices(sK1)
| spl27_8 ),
inference(resolution,[],[f560,f238]) ).
fof(f568,plain,
( $false
| spl27_8 ),
inference(forward_subsumption_resolution,[],[f567,f185]) ).
fof(f569,plain,
spl27_8,
inference(avatar_contradiction_clause,[],[f568]) ).
fof(f576,plain,
( ~ l1_lattices(sK1)
| spl27_9 ),
inference(resolution,[],[f512,f242]) ).
fof(f578,plain,
! [X2,X3,X0,X1] :
( ~ r2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X3),u2_lattices(X3),u1_lattices(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ v15_lattices(X3)
| ~ v16_lattices(X3)
| ~ l3_lattices(X3)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| k7_lattices(X3,X2) = X1
| ~ m1_subset_1(X1,u1_struct_0(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ v11_lattices(X3)
| ~ v16_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X2,u1_struct_0(X3)) ),
inference(resolution,[],[f376,f378]) ).
fof(f579,plain,
! [X2,X3,X0,X1] :
( ~ r2_lattices(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X3),u2_lattices(X3),u1_lattices(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ v15_lattices(X3)
| ~ v16_lattices(X3)
| ~ l3_lattices(X3)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v15_lattices(X0)
| ~ v16_lattices(X0)
| ~ l3_lattices(X0)
| k7_lattices(X3,X2) = X1
| ~ v11_lattices(X3) ),
inference(duplicate_literal_removal,[],[f578]) ).
fof(f580,plain,
( ~ l3_lattices(sK1)
| spl27_9 ),
inference(resolution,[],[f576,f238]) ).
fof(f581,plain,
( $false
| spl27_9 ),
inference(forward_subsumption_resolution,[],[f580,f185]) ).
fof(f582,plain,
spl27_9,
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f592,plain,
( ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl27_10 ),
inference(resolution,[],[f516,f362]) ).
fof(f593,plain,
( ~ l2_lattices(sK1)
| spl27_10 ),
inference(resolution,[],[f592,f243]) ).
fof(f603,plain,
( ~ l3_lattices(sK1)
| spl27_10 ),
inference(resolution,[],[f593,f237]) ).
fof(f604,plain,
( $false
| spl27_10 ),
inference(forward_subsumption_resolution,[],[f603,f185]) ).
fof(f605,plain,
spl27_10,
inference(avatar_contradiction_clause,[],[f604]) ).
fof(f606,plain,
( ~ l2_lattices(sK1)
| spl27_11 ),
inference(resolution,[],[f520,f244]) ).
fof(f610,plain,
( ~ l3_lattices(sK1)
| spl27_11 ),
inference(resolution,[],[f606,f237]) ).
fof(f611,plain,
( $false
| spl27_11 ),
inference(forward_subsumption_resolution,[],[f610,f185]) ).
fof(f612,plain,
spl27_11,
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f613,plain,
( ~ l2_lattices(sK1)
| spl27_12 ),
inference(resolution,[],[f524,f245]) ).
fof(f615,plain,
( ~ l3_lattices(sK1)
| spl27_12 ),
inference(resolution,[],[f613,f237]) ).
fof(f616,plain,
( $false
| spl27_12 ),
inference(forward_subsumption_resolution,[],[f615,f185]) ).
fof(f617,plain,
spl27_12,
inference(avatar_contradiction_clause,[],[f616]) ).
fof(f621,plain,
( ! [X2,X3,X0,X1] :
( g3_lattices(X1,X2,X3) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),X0)
| ~ v1_funct_1(u2_lattices(sK1))
| u1_struct_0(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(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) )
| ~ spl27_11 ),
inference(resolution,[],[f519,f273]) ).
fof(f626,plain,
( ! [X2,X3,X0,X1] :
( g3_lattices(X1,X2,X3) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),X0)
| u1_struct_0(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(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) )
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_subsumption_resolution,[],[f621,f523]) ).
fof(f629,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| u1_struct_0(sK1) = X1
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| g3_lattices(X1,X2,X3) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),X0) )
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_subsumption_resolution,[],[f626,f515]) ).
fof(f703,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(k7_lattices(X2,X0),u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ m1_subset_1(k7_lattices(X2,X0),u1_struct_0(X2))
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| k7_lattices(X2,X0) = k7_lattices(X1,X0)
| ~ v11_lattices(X1)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X0,u1_struct_0(X2)) ),
inference(resolution,[],[f579,f489]) ).
fof(f706,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(k7_lattices(X2,X0),u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| ~ m1_subset_1(k7_lattices(X2,X0),u1_struct_0(X2))
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| k7_lattices(X2,X0) = k7_lattices(X1,X0)
| ~ v11_lattices(X1)
| ~ v11_lattices(X2) ),
inference(duplicate_literal_removal,[],[f703]) ).
fof(f707,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k7_lattices(X2,X0),u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ m1_subset_1(X0,u1_struct_0(X2))
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| k7_lattices(X2,X0) = k7_lattices(X1,X0)
| ~ v11_lattices(X1)
| ~ v11_lattices(X2) ),
inference(forward_subsumption_resolution,[],[f706,f234]) ).
fof(f760,plain,
( ! [X2,X0,X1] :
( 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))
| g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)) )
| ~ spl27_7
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(resolution,[],[f629,f503]) ).
fof(f762,plain,
( ! [X2,X0,X1] :
( 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))
| g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)) )
| ~ spl27_7
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_subsumption_resolution,[],[f760,f511]) ).
fof(f764,plain,
( ! [X2,X0,X1] :
( u1_struct_0(sK1) = X0
| g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1)) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_subsumption_resolution,[],[f762,f507]) ).
fof(f766,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 )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_demodulation,[],[f764,f189]) ).
fof(f970,plain,
( u1_struct_0(sK1) = u1_struct_0(sK0)
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(equality_resolution,[],[f766]) ).
fof(f1009,plain,
( ! [X0] :
( m1_subset_1(k7_lattices(sK1,X0),u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(superposition,[],[f234,f970]) ).
fof(f1036,plain,
( ! [X0] :
( m1_subset_1(k7_lattices(sK1,X0),u1_struct_0(sK0))
| ~ l3_lattices(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_subsumption_resolution,[],[f1009,f188]) ).
fof(f1075,plain,
( ! [X0] :
( m1_subset_1(k7_lattices(sK1,X0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_subsumption_resolution,[],[f1036,f185]) ).
fof(f1123,definition,
( spl27_54
<=> v11_lattices(sK1) ),
introduced(definition,[new_symbols(definition,[spl27_54])],[avatar_definition]) ).
fof(f1124,plain,
( v11_lattices(sK1)
| ~ spl27_54 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1125,plain,
( ~ v11_lattices(sK1)
| spl27_54 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1127,definition,
( spl27_55
<=> v16_lattices(sK1) ),
introduced(definition,[new_symbols(definition,[spl27_55])],[avatar_definition]) ).
fof(f1128,plain,
( v16_lattices(sK1)
| ~ spl27_55 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1129,plain,
( ~ v16_lattices(sK1)
| spl27_55 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f1131,definition,
( spl27_56
<=> v15_lattices(sK1) ),
introduced(definition,[new_symbols(definition,[spl27_56])],[avatar_definition]) ).
fof(f1132,plain,
( v15_lattices(sK1)
| ~ spl27_56 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f1133,plain,
( ~ v15_lattices(sK1)
| spl27_56 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f1215,plain,
( v3_struct_0(sK1)
| ~ v17_lattices(sK1)
| ~ l3_lattices(sK1)
| spl27_54 ),
inference(resolution,[],[f1125,f218]) ).
fof(f1216,plain,
( ~ v17_lattices(sK1)
| ~ l3_lattices(sK1)
| spl27_54 ),
inference(forward_subsumption_resolution,[],[f1215,f188]) ).
fof(f1217,plain,
( ~ l3_lattices(sK1)
| spl27_54 ),
inference(forward_subsumption_resolution,[],[f1216,f186]) ).
fof(f1218,plain,
( $false
| spl27_54 ),
inference(forward_subsumption_resolution,[],[f1217,f185]) ).
fof(f1219,plain,
spl27_54,
inference(avatar_contradiction_clause,[],[f1218]) ).
fof(f1221,plain,
( v3_struct_0(sK1)
| ~ v17_lattices(sK1)
| ~ l3_lattices(sK1)
| spl27_55 ),
inference(resolution,[],[f1129,f214]) ).
fof(f1222,plain,
( ~ v17_lattices(sK1)
| ~ l3_lattices(sK1)
| spl27_55 ),
inference(forward_subsumption_resolution,[],[f1221,f188]) ).
fof(f1223,plain,
( ~ l3_lattices(sK1)
| spl27_55 ),
inference(forward_subsumption_resolution,[],[f1222,f186]) ).
fof(f1224,plain,
( $false
| spl27_55 ),
inference(forward_subsumption_resolution,[],[f1223,f185]) ).
fof(f1225,plain,
spl27_55,
inference(avatar_contradiction_clause,[],[f1224]) ).
fof(f1247,plain,
( v3_struct_0(sK1)
| ~ v17_lattices(sK1)
| ~ l3_lattices(sK1)
| spl27_56 ),
inference(resolution,[],[f1133,f215]) ).
fof(f1248,plain,
( ~ v17_lattices(sK1)
| ~ l3_lattices(sK1)
| spl27_56 ),
inference(forward_subsumption_resolution,[],[f1247,f188]) ).
fof(f1250,plain,
( ~ l3_lattices(sK1)
| spl27_56 ),
inference(forward_subsumption_resolution,[],[f1248,f186]) ).
fof(f1252,plain,
( $false
| spl27_56 ),
inference(forward_subsumption_resolution,[],[f1250,f185]) ).
fof(f1253,plain,
spl27_56,
inference(avatar_contradiction_clause,[],[f1252]) ).
fof(f1550,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| 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(sK0)
| ~ v10_lattices(sK0)
| ~ v15_lattices(sK0)
| ~ v16_lattices(sK0)
| ~ l3_lattices(sK0)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0)
| ~ v11_lattices(sK0)
| ~ v11_lattices(sK1) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(resolution,[],[f1075,f707]) ).
fof(f1551,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| 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(sK0)
| ~ v10_lattices(sK0)
| ~ v15_lattices(sK0)
| ~ v16_lattices(sK0)
| ~ l3_lattices(sK0)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0)
| ~ v11_lattices(sK0)
| ~ v11_lattices(sK1) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(duplicate_literal_removal,[],[f1550]) ).
fof(f1553,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ v15_lattices(sK0)
| ~ v16_lattices(sK0)
| ~ l3_lattices(sK0)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0)
| ~ v11_lattices(sK0)
| ~ v11_lattices(sK1) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_subsumption_resolution,[],[f1551,f189]) ).
fof(f1555,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ v10_lattices(sK0)
| ~ v15_lattices(sK0)
| ~ v16_lattices(sK0)
| ~ l3_lattices(sK0)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0)
| ~ v11_lattices(sK0)
| ~ v11_lattices(sK1) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_subsumption_resolution,[],[f1553,f184]) ).
fof(f1557,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ v15_lattices(sK0)
| ~ v16_lattices(sK0)
| ~ l3_lattices(sK0)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0)
| ~ v11_lattices(sK0)
| ~ v11_lattices(sK1) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_subsumption_resolution,[],[f1555,f183]) ).
fof(f1559,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ v15_lattices(sK0)
| ~ v16_lattices(sK0)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0)
| ~ v11_lattices(sK0)
| ~ v11_lattices(sK1) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_subsumption_resolution,[],[f1557,f181]) ).
fof(f1561,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ v15_lattices(sK0)
| ~ v16_lattices(sK0)
| ~ v10_lattices(sK1)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0)
| ~ v11_lattices(sK0)
| ~ v11_lattices(sK1) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_subsumption_resolution,[],[f1559,f188]) ).
fof(f1563,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ v15_lattices(sK0)
| ~ v16_lattices(sK0)
| ~ v15_lattices(sK1)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0)
| ~ v11_lattices(sK0)
| ~ v11_lattices(sK1) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12 ),
inference(forward_subsumption_resolution,[],[f1561,f187]) ).
fof(f1565,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ v15_lattices(sK0)
| ~ v16_lattices(sK0)
| ~ v16_lattices(sK1)
| ~ l3_lattices(sK1)
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0)
| ~ v11_lattices(sK0)
| ~ v11_lattices(sK1) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_56 ),
inference(forward_subsumption_resolution,[],[f1563,f1132]) ).
fof(f1567,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ v15_lattices(sK0)
| ~ v16_lattices(sK0)
| ~ l3_lattices(sK1)
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0)
| ~ v11_lattices(sK0)
| ~ v11_lattices(sK1) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_55
| ~ spl27_56 ),
inference(forward_subsumption_resolution,[],[f1565,f1128]) ).
fof(f1569,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ v15_lattices(sK0)
| ~ v16_lattices(sK0)
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0)
| ~ v11_lattices(sK0)
| ~ v11_lattices(sK1) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_55
| ~ spl27_56 ),
inference(forward_subsumption_resolution,[],[f1567,f185]) ).
fof(f1571,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ v15_lattices(sK0)
| ~ v16_lattices(sK0)
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0)
| ~ v11_lattices(sK0) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_54
| ~ spl27_55
| ~ spl27_56 ),
inference(forward_subsumption_resolution,[],[f1569,f1124]) ).
fof(f1574,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v15_lattices(sK0)
| ~ v16_lattices(sK0)
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0)
| ~ v11_lattices(sK0) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_54
| ~ spl27_55
| ~ spl27_56 ),
inference(forward_demodulation,[],[f1571,f970]) ).
fof(f1575,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v15_lattices(sK0)
| ~ v16_lattices(sK0)
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0)
| ~ v11_lattices(sK0) )
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_54
| ~ spl27_55
| ~ spl27_56 ),
inference(duplicate_literal_removal,[],[f1574]) ).
fof(f1579,definition,
( spl27_82
<=> v11_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl27_82])],[avatar_definition]) ).
fof(f1581,plain,
( ~ v11_lattices(sK0)
| spl27_82 ),
inference(avatar_component_clause,[],[f1579]) ).
fof(f1583,definition,
( spl27_83
<=> v16_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl27_83])],[avatar_definition]) ).
fof(f1585,plain,
( ~ v16_lattices(sK0)
| spl27_83 ),
inference(avatar_component_clause,[],[f1583]) ).
fof(f1587,definition,
( spl27_84
<=> v15_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl27_84])],[avatar_definition]) ).
fof(f1589,plain,
( ~ v15_lattices(sK0)
| spl27_84 ),
inference(avatar_component_clause,[],[f1587]) ).
fof(f1591,definition,
( spl27_85
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl27_85])],[avatar_definition]) ).
fof(f1592,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0) )
| ~ spl27_85 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f1593,plain,
( ~ spl27_82
| ~ spl27_83
| ~ spl27_84
| spl27_85
| ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_54
| ~ spl27_55
| ~ spl27_56 ),
inference(avatar_split_clause,[],[f1575,f1131,f1127,f1123,f522,f518,f514,f510,f506,f502,f1591,f1587,f1583,f1579]) ).
fof(f1602,plain,
( v3_struct_0(sK0)
| ~ v17_lattices(sK0)
| ~ l3_lattices(sK0)
| spl27_82 ),
inference(resolution,[],[f1581,f218]) ).
fof(f1603,plain,
( ~ v17_lattices(sK0)
| ~ l3_lattices(sK0)
| spl27_82 ),
inference(forward_subsumption_resolution,[],[f1602,f184]) ).
fof(f1604,plain,
( ~ l3_lattices(sK0)
| spl27_82 ),
inference(forward_subsumption_resolution,[],[f1603,f182]) ).
fof(f1605,plain,
( $false
| spl27_82 ),
inference(forward_subsumption_resolution,[],[f1604,f181]) ).
fof(f1606,plain,
spl27_82,
inference(avatar_contradiction_clause,[],[f1605]) ).
fof(f1617,plain,
( v3_struct_0(sK0)
| ~ v17_lattices(sK0)
| ~ l3_lattices(sK0)
| spl27_83 ),
inference(resolution,[],[f1585,f214]) ).
fof(f1618,plain,
( ~ v17_lattices(sK0)
| ~ l3_lattices(sK0)
| spl27_83 ),
inference(forward_subsumption_resolution,[],[f1617,f184]) ).
fof(f1619,plain,
( ~ l3_lattices(sK0)
| spl27_83 ),
inference(forward_subsumption_resolution,[],[f1618,f182]) ).
fof(f1620,plain,
( $false
| spl27_83 ),
inference(forward_subsumption_resolution,[],[f1619,f181]) ).
fof(f1621,plain,
spl27_83,
inference(avatar_contradiction_clause,[],[f1620]) ).
fof(f1636,plain,
( v3_struct_0(sK0)
| ~ v17_lattices(sK0)
| ~ l3_lattices(sK0)
| spl27_84 ),
inference(resolution,[],[f1589,f215]) ).
fof(f1637,plain,
( ~ v17_lattices(sK0)
| ~ l3_lattices(sK0)
| spl27_84 ),
inference(forward_subsumption_resolution,[],[f1636,f184]) ).
fof(f1639,plain,
( ~ l3_lattices(sK0)
| spl27_84 ),
inference(forward_subsumption_resolution,[],[f1637,f182]) ).
fof(f1641,plain,
( $false
| spl27_84 ),
inference(forward_subsumption_resolution,[],[f1639,f181]) ).
fof(f1642,plain,
spl27_84,
inference(avatar_contradiction_clause,[],[f1641]) ).
fof(f2514,plain,
( k7_lattices(sK0,sK2) = k7_lattices(sK1,sK2)
| ~ spl27_85 ),
inference(resolution,[],[f1592,f190]) ).
fof(f2520,plain,
( $false
| ~ spl27_85 ),
inference(forward_subsumption_resolution,[],[f2514,f380]) ).
fof(f2521,plain,
~ spl27_85,
inference(avatar_contradiction_clause,[],[f2520]) ).
cnf(s7,plain,
spl27_7,
inference(sat_conversion,[],[f537]) ).
cnf(s10,plain,
spl27_8,
inference(sat_conversion,[],[f569]) ).
cnf(s11,plain,
spl27_9,
inference(sat_conversion,[],[f582]) ).
cnf(s12,plain,
spl27_10,
inference(sat_conversion,[],[f605]) ).
cnf(s13,plain,
spl27_11,
inference(sat_conversion,[],[f612]) ).
cnf(s14,plain,
spl27_12,
inference(sat_conversion,[],[f617]) ).
cnf(s69,plain,
spl27_54,
inference(sat_conversion,[],[f1219]) ).
cnf(s70,plain,
spl27_55,
inference(sat_conversion,[],[f1225]) ).
cnf(s72,plain,
spl27_56,
inference(sat_conversion,[],[f1253]) ).
cnf(s110,plain,
( ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_54
| ~ spl27_55
| ~ spl27_56
| ~ spl27_82
| ~ spl27_83
| ~ spl27_84
| spl27_85 ),
inference(sat_conversion,[],[f1593]) ).
cnf(s112,plain,
spl27_82,
inference(sat_conversion,[],[f1606]) ).
cnf(s113,plain,
spl27_83,
inference(sat_conversion,[],[f1621]) ).
cnf(s115,plain,
spl27_84,
inference(sat_conversion,[],[f1642]) ).
cnf(s215,plain,
~ spl27_85,
inference(sat_conversion,[],[f2521]) ).
cnf(s219,plain,
( ~ spl27_7
| ~ spl27_8
| ~ spl27_9
| ~ spl27_10
| ~ spl27_11
| ~ spl27_12
| ~ spl27_54
| ~ spl27_55
| ~ spl27_56 ),
inference(rat,[],[s110,s215,s115,s113,s112]) ).
cnf(s238,plain,
~ spl27_7,
inference(rat,[],[s219,s72,s70,s69,s14,s13,s12,s11,s10]) ).
cnf(s239,plain,
$false,
inference(rat,[],[s7,s238]) ).
fof(f2523,plain,
$false,
inference(avatar_sat_refutation,[],[s239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT296+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n003.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 14:20:41 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.42 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
% 3.32/1.37 % (580255)Detected formulas, will run a generic FOF schedule.
% 3.32/1.37 % (580261)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=559222197:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.32/1.37 % (580264)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1105817124:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.32/1.37 % (580265)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=928262335:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.32/1.37 % (580266)dis-21_1_sil=8000:lcm=predicate:random_seed=3459023477: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)
% 3.32/1.37 % (580260)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=3084220443:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.32/1.37 % (580263)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1901369764:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.32/1.37 % (580262)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=3415803349:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.32/1.37 % (580263)Refutation not found, incomplete strategy
% 3.32/1.37 % (580263)------------------------------
% 3.32/1.37 % (580263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.37 % (580263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.37 % (580263)CaDiCaL version: 2.1.3
% 3.32/1.37 % (580263)Termination reason: Refutation not found, incomplete strategy
% 3.32/1.37 % (580263)Time elapsed: 0.002 s
% 3.32/1.37 % (580263)Peak memory usage: 89 MB
% 3.32/1.37 % (580263)Instructions burned: 1 (million)
% 3.32/1.37 % (580264)Refutation not found, incomplete strategy
% 3.32/1.37 % (580264)------------------------------
% 3.32/1.37 % (580264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.37 % (580264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.37 % (580264)CaDiCaL version: 2.1.3
% 3.32/1.37 % (580264)Termination reason: Refutation not found, incomplete strategy
% 3.32/1.37 % (580264)Time elapsed: 0.004 s
% 3.32/1.37 % (580264)Peak memory usage: 88 MB
% 3.32/1.37 % (580264)Instructions burned: 5 (million)
% 3.32/1.37 % (580266)Instruction limit reached!
% 3.32/1.37 % (580266)------------------------------
% 3.32/1.37 % (580266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.32/1.37 % (580266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/1.37 % (580266)CaDiCaL version: 2.1.3
% 3.32/1.37 % (580266)Termination reason: Instruction limit
% 3.32/1.37 % (580266)Termination phase: Saturation
% 3.32/1.37 % (580266)Time elapsed: 0.072 s
% 3.32/1.37 % (580266)Peak memory usage: 91 MB
% 3.32/1.37 % (580266)Instructions burned: 131 (million)
% 3.32/1.37 % (580265)First to succeed.
% 3.32/1.37 % (580265)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-580255"
% 3.32/1.37 % (580274)lrs+10_1_sil=8000:sp=occurrence:random_seed=1740427795:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.32/1.37 % (580263)------------------------------
% 3.32/1.37 % (580263)------------------------------
% 3.32/1.37 % (580264)------------------------------
% 3.32/1.37 % (580264)------------------------------
% 3.32/1.37 % (580265)Refutation found. Thanks to Tanya!
% 3.32/1.37 % SZS status Theorem for theBenchmark
% 3.32/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 4.20/1.57 % (580265)------------------------------
% 4.20/1.57 % (580265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.57 % (580265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.57 % (580265)CaDiCaL version: 2.1.3
% 4.20/1.57 % (580265)Termination reason: Refutation
% 4.20/1.57 % (580265)Time elapsed: 0.080 s
% 4.20/1.57 % (580265)Peak memory usage: 91 MB
% 4.20/1.57 % (580265)Instructions burned: 122 (million)
% 4.20/1.57 % (580265)------------------------------
% 4.20/1.57 % (580265)------------------------------
% 4.20/1.57 % (580255)Success in time 0.513 s
% 4.20/1.57 % Vampire exiting
%------------------------------------------------------------------------------