%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n005.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 11:48:16 AM UTC 2026
% Result : Theorem 0.16s 0.56s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 19
% Syntax : Number of formulae : 208 ( 42 unt; 9 def)
% Number of atoms : 979 ( 94 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 1204 ( 433 ~; 636 |; 90 &)
% ( 13 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 10 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 225 ( 0 sgn 217 !; 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(f156,plain,
sK2 = sK3,
inference(cnf_transformation,[],[f90]) ).
fof(f157,plain,
k7_lattices(sK0,sK2) != k7_lattices(sK1,sK3),
inference(cnf_transformation,[],[f90]) ).
fof(f158,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f90]) ).
fof(f159,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f90]) ).
fof(f160,plain,
v17_lattices(sK1),
inference(cnf_transformation,[],[f90]) ).
fof(f161,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f90]) ).
fof(f162,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f90]) ).
fof(f163,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,[],[f90]) ).
fof(f164,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f165,plain,
v17_lattices(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f166,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f167,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f90]) ).
fof(f182,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v16_lattices(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f183,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v15_lattices(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f186,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f194,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_lattices(X0,X2,X1)
| k7_lattices(X0,X1) = X2 ),
inference(cnf_transformation,[],[f113]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| r2_lattices(X0,X2,X1)
| k7_lattices(X0,X1) != X2 ),
inference(cnf_transformation,[],[f113]) ).
fof(f198,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f117]) ).
fof(f201,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f202,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f204,plain,
! [X0] :
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f205,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f206,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f207,plain,
! [X0] :
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f208,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f209,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f237,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3 ),
inference(cnf_transformation,[],[f139]) ).
fof(f327,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f329,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r2_lattices(X0,X2,X3)
| X3 != X5
| X2 != X4
| r2_lattices(X1,X4,X5) ),
inference(cnf_transformation,[],[f144]) ).
fof(f338,plain,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(definition_unfolding,[],[f158,f156]) ).
fof(f339,plain,
k7_lattices(sK1,sK3) != k7_lattices(sK0,sK3),
inference(definition_unfolding,[],[f157,f156]) ).
fof(f340,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v11_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| r2_lattices(X0,k7_lattices(X0,X1),X1) ),
inference(equality_resolution,[],[f195]) ).
fof(f341,plain,
! [X2,X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r2_lattices(X0,X2,X5)
| X2 != X4
| r2_lattices(X1,X4,X5) ),
inference(equality_resolution,[],[f329]) ).
fof(f342,plain,
! [X0,X1,X4,X5] :
( ~ l3_lattices(X0)
| ~ v16_lattices(X0)
| ~ v15_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| ~ r2_lattices(X0,X4,X5)
| r2_lattices(X1,X4,X5) ),
inference(equality_resolution,[],[f341]) ).
fof(f343,plain,
~ v10_lattices(sK0),
inference(consistent_polarity_flipping,[],[f166]) ).
fof(f344,plain,
~ v17_lattices(sK0),
inference(consistent_polarity_flipping,[],[f165]) ).
fof(f345,plain,
~ l3_lattices(sK0),
inference(consistent_polarity_flipping,[],[f164]) ).
fof(f346,plain,
~ v10_lattices(sK1),
inference(consistent_polarity_flipping,[],[f161]) ).
fof(f347,plain,
~ v17_lattices(sK1),
inference(consistent_polarity_flipping,[],[f160]) ).
fof(f348,plain,
~ l3_lattices(sK1),
inference(consistent_polarity_flipping,[],[f159]) ).
fof(f362,plain,
! [X0] :
( v17_lattices(X0)
| l3_lattices(X0)
| v3_struct_0(X0)
| v11_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f186]) ).
fof(f365,plain,
! [X0] :
( v17_lattices(X0)
| l3_lattices(X0)
| v3_struct_0(X0)
| v15_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f183]) ).
fof(f366,plain,
! [X0] :
( ~ v16_lattices(X0)
| v17_lattices(X0)
| v3_struct_0(X0)
| l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f182]) ).
fof(f374,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| l3_lattices(X0)
| v16_lattices(X0)
| ~ v11_lattices(X0)
| v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| r2_lattices(X0,k7_lattices(X0,X1),X1) ),
inference(consistent_polarity_flipping,[],[f340]) ).
fof(f375,plain,
! [X2,X0,X1] :
( ~ r2_lattices(X0,X2,X1)
| l3_lattices(X0)
| v16_lattices(X0)
| ~ v11_lattices(X0)
| v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k7_lattices(X0,X1) = X2 ),
inference(consistent_polarity_flipping,[],[f194]) ).
fof(f378,plain,
! [X0,X1] :
( m1_subset_1(k7_lattices(X0,X1),u1_struct_0(X0))
| l3_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(consistent_polarity_flipping,[],[f198]) ).
fof(f381,plain,
! [X0] :
( ~ l1_lattices(X0)
| l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f202]) ).
fof(f382,plain,
! [X0] :
( ~ l2_lattices(X0)
| l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f201]) ).
fof(f384,plain,
! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| l1_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f206]) ).
fof(f385,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(consistent_polarity_flipping,[],[f205]) ).
fof(f386,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(consistent_polarity_flipping,[],[f204]) ).
fof(f387,plain,
! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| l2_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f209]) ).
fof(f388,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(consistent_polarity_flipping,[],[f208]) ).
fof(f389,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(consistent_polarity_flipping,[],[f207]) ).
fof(f409,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| v1_funct_1(X2)
| m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3 ),
inference(consistent_polarity_flipping,[],[f237]) ).
fof(f458,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f327]) ).
fof(f460,plain,
! [X0,X1,X4,X5] :
( ~ r2_lattices(X0,X4,X5)
| v16_lattices(X0)
| ~ v15_lattices(X0)
| v10_lattices(X0)
| v3_struct_0(X0)
| l3_lattices(X1)
| v16_lattices(X1)
| ~ v15_lattices(X1)
| v10_lattices(X1)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X1))
| l3_lattices(X0)
| r2_lattices(X1,X4,X5) ),
inference(consistent_polarity_flipping,[],[f342]) ).
fof(f495,plain,
( l3_lattices(sK0)
| v3_struct_0(sK0)
| v11_lattices(sK0) ),
inference(resolution,[],[f362,f344]) ).
fof(f496,plain,
( l3_lattices(sK1)
| v3_struct_0(sK1)
| v11_lattices(sK1) ),
inference(resolution,[],[f362,f347]) ).
fof(f498,plain,
( v3_struct_0(sK1)
| v11_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f496,f348]) ).
fof(f499,plain,
( v3_struct_0(sK0)
| v11_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f495,f345]) ).
fof(f500,plain,
v11_lattices(sK1),
inference(forward_subsumption_resolution,[],[f498,f162]) ).
fof(f501,plain,
v11_lattices(sK0),
inference(forward_subsumption_resolution,[],[f499,f167]) ).
fof(f502,plain,
( l3_lattices(sK0)
| v3_struct_0(sK0)
| v15_lattices(sK0) ),
inference(resolution,[],[f365,f344]) ).
fof(f503,plain,
( l3_lattices(sK1)
| v3_struct_0(sK1)
| v15_lattices(sK1) ),
inference(resolution,[],[f365,f347]) ).
fof(f505,plain,
( v3_struct_0(sK1)
| v15_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f503,f348]) ).
fof(f506,plain,
( v3_struct_0(sK0)
| v15_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f502,f345]) ).
fof(f507,plain,
v15_lattices(sK1),
inference(forward_subsumption_resolution,[],[f505,f162]) ).
fof(f508,plain,
v15_lattices(sK0),
inference(forward_subsumption_resolution,[],[f506,f167]) ).
fof(f591,plain,
! [X0,X1] :
( r2_lattices(X0,k7_lattices(X0,X1),X1)
| l3_lattices(X0)
| v16_lattices(X0)
| ~ v11_lattices(X0)
| v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f374,f378]) ).
fof(f605,definition,
( spl27_3
<=> 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_3])],[avatar_definition]) ).
fof(f607,plain,
( m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl27_3 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f617,definition,
( spl27_6
<=> 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_6])],[avatar_definition]) ).
fof(f618,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl27_6 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f619,plain,
( m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl27_6 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f621,definition,
( spl27_7
<=> v1_funct_1(u1_lattices(sK1)) ),
introduced(definition,[new_symbols(definition,[spl27_7])],[avatar_definition]) ).
fof(f622,plain,
( ~ v1_funct_1(u1_lattices(sK1))
| spl27_7 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f623,plain,
( v1_funct_1(u1_lattices(sK1))
| ~ spl27_7 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f625,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(f626,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,[],[f625]) ).
fof(f627,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,[],[f625]) ).
fof(f644,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v1_funct_1(X0)
| m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v1_funct_1(u2_lattices(X1))
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),X0) != g3_lattices(X2,X3,X4)
| u1_struct_0(X1) = X2
| l2_lattices(X1) ),
inference(resolution,[],[f409,f388]) ).
fof(f645,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| v1_funct_1(X0)
| m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),X0) != g3_lattices(X2,X3,X4)
| u1_struct_0(X1) = X2
| l2_lattices(X1) ),
inference(forward_subsumption_resolution,[],[f644,f387]) ).
fof(f655,plain,
! [X2,X0,X1] :
( v16_lattices(X0)
| ~ v15_lattices(X0)
| v10_lattices(X0)
| v3_struct_0(X0)
| l3_lattices(X1)
| v16_lattices(X1)
| ~ v15_lattices(X1)
| v10_lattices(X1)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ m1_subset_1(k7_lattices(X0,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(k7_lattices(X0,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| l3_lattices(X0)
| r2_lattices(X1,k7_lattices(X0,X2),X2)
| l3_lattices(X0)
| v16_lattices(X0)
| ~ v11_lattices(X0)
| v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(resolution,[],[f460,f591]) ).
fof(f656,plain,
! [X2,X0,X1] :
( v16_lattices(X0)
| ~ v15_lattices(X0)
| v10_lattices(X0)
| v3_struct_0(X0)
| l3_lattices(X1)
| v16_lattices(X1)
| ~ v15_lattices(X1)
| v10_lattices(X1)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ m1_subset_1(k7_lattices(X0,X2),u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(k7_lattices(X0,X2),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| l3_lattices(X0)
| r2_lattices(X1,k7_lattices(X0,X2),X2)
| ~ v11_lattices(X0) ),
inference(duplicate_literal_removal,[],[f655]) ).
fof(f657,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k7_lattices(X0,X2),u1_struct_0(X1))
| ~ v15_lattices(X0)
| v10_lattices(X0)
| v3_struct_0(X0)
| l3_lattices(X1)
| v16_lattices(X1)
| ~ v15_lattices(X1)
| v10_lattices(X1)
| v3_struct_0(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v16_lattices(X0)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| l3_lattices(X0)
| r2_lattices(X1,k7_lattices(X0,X2),X2)
| ~ v11_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f656,f378]) ).
fof(f683,plain,
( m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl27_6 ),
inference(resolution,[],[f619,f458]) ).
fof(f684,plain,
( l1_lattices(sK1)
| spl27_8 ),
inference(resolution,[],[f627,f385]) ).
fof(f687,plain,
( l3_lattices(sK1)
| spl27_8 ),
inference(resolution,[],[f684,f381]) ).
fof(f688,plain,
( $false
| spl27_8 ),
inference(forward_subsumption_resolution,[],[f687,f348]) ).
fof(f689,plain,
spl27_8,
inference(avatar_contradiction_clause,[],[f688]) ).
fof(f710,plain,
( l1_lattices(sK1)
| ~ spl27_7 ),
inference(resolution,[],[f623,f384]) ).
fof(f712,plain,
( l3_lattices(sK1)
| ~ spl27_7 ),
inference(resolution,[],[f710,f381]) ).
fof(f713,plain,
( $false
| ~ spl27_7 ),
inference(forward_subsumption_resolution,[],[f712,f348]) ).
fof(f714,plain,
~ spl27_7,
inference(avatar_contradiction_clause,[],[f713]) ).
fof(f715,plain,
( l2_lattices(sK1)
| ~ spl27_6 ),
inference(resolution,[],[f683,f389]) ).
fof(f720,plain,
( l3_lattices(sK1)
| ~ spl27_6 ),
inference(resolution,[],[f715,f382]) ).
fof(f721,plain,
( $false
| ~ spl27_6 ),
inference(forward_subsumption_resolution,[],[f720,f348]) ).
fof(f722,plain,
~ spl27_6,
inference(avatar_contradiction_clause,[],[f721]) ).
fof(f832,definition,
( spl27_34
<=> l2_lattices(sK1) ),
introduced(definition,[new_symbols(definition,[spl27_34])],[avatar_definition]) ).
fof(f833,plain,
( ~ l2_lattices(sK1)
| spl27_34 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f834,plain,
( l2_lattices(sK1)
| ~ spl27_34 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f850,plain,
( m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl27_3 ),
inference(resolution,[],[f607,f458]) ).
fof(f873,plain,
( l3_lattices(sK1)
| ~ spl27_34 ),
inference(resolution,[],[f834,f382]) ).
fof(f874,plain,
( $false
| ~ spl27_34 ),
inference(forward_subsumption_resolution,[],[f873,f348]) ).
fof(f875,plain,
~ spl27_34,
inference(avatar_contradiction_clause,[],[f874]) ).
fof(f887,plain,
( ! [X2,X0,X1] :
( v1_funct_1(u1_lattices(sK1))
| m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| m1_relset_1(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))
| u1_struct_0(sK1) = X0
| l2_lattices(sK1) )
| ~ spl27_8 ),
inference(resolution,[],[f645,f626]) ).
fof(f928,plain,
( l1_lattices(sK1)
| ~ spl27_3 ),
inference(resolution,[],[f850,f386]) ).
fof(f990,plain,
( l3_lattices(sK1)
| ~ spl27_3 ),
inference(resolution,[],[f928,f381]) ).
fof(f991,plain,
( $false
| ~ spl27_3 ),
inference(forward_subsumption_resolution,[],[f990,f348]) ).
fof(f992,plain,
~ spl27_3,
inference(avatar_contradiction_clause,[],[f991]) ).
fof(f1001,plain,
( ! [X2,X0,X1] :
( m1_relset_1(u2_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))
| g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK1),u2_lattices(sK1),u1_lattices(sK1))
| u1_struct_0(sK1) = X0
| l2_lattices(sK1) )
| spl27_7
| ~ spl27_8 ),
inference(forward_subsumption_resolution,[],[f887,f622]) ).
fof(f1024,plain,
( ! [X2,X0,X1] :
( m1_relset_1(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))
| u1_struct_0(sK1) = X0
| l2_lattices(sK1) )
| spl27_6
| spl27_7
| ~ spl27_8 ),
inference(forward_subsumption_resolution,[],[f1001,f618]) ).
fof(f1046,plain,
( ! [X2,X0,X1] :
( m1_relset_1(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))
| u1_struct_0(sK1) = X0 )
| spl27_6
| spl27_7
| ~ spl27_8
| spl27_34 ),
inference(forward_subsumption_resolution,[],[f1024,f833]) ).
fof(f1057,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| u1_struct_0(sK1) = X0 )
| spl27_6
| spl27_7
| ~ spl27_8
| spl27_34 ),
inference(forward_demodulation,[],[f1046,f163]) ).
fof(f1064,definition,
( spl27_60
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| u1_struct_0(sK1) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl27_60])],[avatar_definition]) ).
fof(f1065,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_60 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1066,plain,
( spl27_3
| spl27_60
| spl27_6
| spl27_7
| ~ spl27_8
| spl27_34 ),
inference(avatar_split_clause,[],[f1057,f832,f625,f621,f617,f1064,f605]) ).
fof(f1173,plain,
( u1_struct_0(sK1) = u1_struct_0(sK0)
| ~ spl27_60 ),
inference(equality_resolution,[],[f1065]) ).
fof(f1315,plain,
( ! [X0] :
( m1_subset_1(k7_lattices(sK1,X0),u1_struct_0(sK0))
| l3_lattices(sK1)
| v3_struct_0(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl27_60 ),
inference(superposition,[],[f378,f1173]) ).
fof(f1342,plain,
( ! [X0] :
( m1_subset_1(k7_lattices(sK1,X0),u1_struct_0(sK0))
| v3_struct_0(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl27_60 ),
inference(forward_subsumption_resolution,[],[f1315,f348]) ).
fof(f1383,plain,
( ! [X0] :
( m1_subset_1(k7_lattices(sK1,X0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl27_60 ),
inference(forward_subsumption_resolution,[],[f1342,f162]) ).
fof(f1430,definition,
( spl27_90
<=> v16_lattices(sK1) ),
introduced(definition,[new_symbols(definition,[spl27_90])],[avatar_definition]) ).
fof(f1431,plain,
( ~ v16_lattices(sK1)
| spl27_90 ),
inference(avatar_component_clause,[],[f1430]) ).
fof(f1432,plain,
( v16_lattices(sK1)
| ~ spl27_90 ),
inference(avatar_component_clause,[],[f1430]) ).
fof(f1474,plain,
( v17_lattices(sK1)
| v3_struct_0(sK1)
| l3_lattices(sK1)
| ~ spl27_90 ),
inference(resolution,[],[f1432,f366]) ).
fof(f1475,plain,
( v3_struct_0(sK1)
| l3_lattices(sK1)
| ~ spl27_90 ),
inference(forward_subsumption_resolution,[],[f1474,f347]) ).
fof(f1476,plain,
( l3_lattices(sK1)
| ~ spl27_90 ),
inference(forward_subsumption_resolution,[],[f1475,f162]) ).
fof(f1477,plain,
( $false
| ~ spl27_90 ),
inference(forward_subsumption_resolution,[],[f1476,f348]) ).
fof(f1478,plain,
~ spl27_90,
inference(avatar_contradiction_clause,[],[f1477]) ).
fof(f2959,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v15_lattices(sK1)
| v10_lattices(sK1)
| v3_struct_0(sK1)
| l3_lattices(sK0)
| v16_lattices(sK0)
| ~ v15_lattices(sK0)
| v10_lattices(sK0)
| v3_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))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| v16_lattices(sK1)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| l3_lattices(sK1)
| r2_lattices(sK0,k7_lattices(sK1,X0),X0)
| ~ v11_lattices(sK1) )
| ~ spl27_60 ),
inference(resolution,[],[f1383,f657]) ).
fof(f2963,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v15_lattices(sK1)
| v10_lattices(sK1)
| v3_struct_0(sK1)
| l3_lattices(sK0)
| v16_lattices(sK0)
| ~ v15_lattices(sK0)
| v10_lattices(sK0)
| v3_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))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| v16_lattices(sK1)
| l3_lattices(sK1)
| r2_lattices(sK0,k7_lattices(sK1,X0),X0)
| ~ v11_lattices(sK1) )
| ~ spl27_60 ),
inference(duplicate_literal_removal,[],[f2959]) ).
fof(f2967,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v10_lattices(sK1)
| v3_struct_0(sK1)
| l3_lattices(sK0)
| v16_lattices(sK0)
| ~ v15_lattices(sK0)
| v10_lattices(sK0)
| v3_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))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| v16_lattices(sK1)
| l3_lattices(sK1)
| r2_lattices(sK0,k7_lattices(sK1,X0),X0)
| ~ v11_lattices(sK1) )
| ~ spl27_60 ),
inference(forward_subsumption_resolution,[],[f2963,f507]) ).
fof(f2968,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK1)
| l3_lattices(sK0)
| v16_lattices(sK0)
| ~ v15_lattices(sK0)
| v10_lattices(sK0)
| v3_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))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| v16_lattices(sK1)
| l3_lattices(sK1)
| r2_lattices(sK0,k7_lattices(sK1,X0),X0)
| ~ v11_lattices(sK1) )
| ~ spl27_60 ),
inference(forward_subsumption_resolution,[],[f2967,f346]) ).
fof(f2969,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| l3_lattices(sK0)
| v16_lattices(sK0)
| ~ v15_lattices(sK0)
| v10_lattices(sK0)
| v3_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))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| v16_lattices(sK1)
| l3_lattices(sK1)
| r2_lattices(sK0,k7_lattices(sK1,X0),X0)
| ~ v11_lattices(sK1) )
| ~ spl27_60 ),
inference(forward_subsumption_resolution,[],[f2968,f162]) ).
fof(f2970,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v16_lattices(sK0)
| ~ v15_lattices(sK0)
| v10_lattices(sK0)
| v3_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))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| v16_lattices(sK1)
| l3_lattices(sK1)
| r2_lattices(sK0,k7_lattices(sK1,X0),X0)
| ~ v11_lattices(sK1) )
| ~ spl27_60 ),
inference(forward_subsumption_resolution,[],[f2969,f345]) ).
fof(f2971,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v16_lattices(sK0)
| v10_lattices(sK0)
| v3_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))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| v16_lattices(sK1)
| l3_lattices(sK1)
| r2_lattices(sK0,k7_lattices(sK1,X0),X0)
| ~ v11_lattices(sK1) )
| ~ spl27_60 ),
inference(forward_subsumption_resolution,[],[f2970,f508]) ).
fof(f2972,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v16_lattices(sK0)
| v3_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))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| v16_lattices(sK1)
| l3_lattices(sK1)
| r2_lattices(sK0,k7_lattices(sK1,X0),X0)
| ~ v11_lattices(sK1) )
| ~ spl27_60 ),
inference(forward_subsumption_resolution,[],[f2971,f343]) ).
fof(f2973,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v16_lattices(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))
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| v16_lattices(sK1)
| l3_lattices(sK1)
| r2_lattices(sK0,k7_lattices(sK1,X0),X0)
| ~ v11_lattices(sK1) )
| ~ spl27_60 ),
inference(forward_subsumption_resolution,[],[f2972,f167]) ).
fof(f2974,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v16_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| v16_lattices(sK1)
| l3_lattices(sK1)
| r2_lattices(sK0,k7_lattices(sK1,X0),X0)
| ~ v11_lattices(sK1) )
| ~ spl27_60 ),
inference(forward_subsumption_resolution,[],[f2973,f163]) ).
fof(f2975,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v16_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| l3_lattices(sK1)
| r2_lattices(sK0,k7_lattices(sK1,X0),X0)
| ~ v11_lattices(sK1) )
| ~ spl27_60
| spl27_90 ),
inference(forward_subsumption_resolution,[],[f2974,f1431]) ).
fof(f2976,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v16_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| r2_lattices(sK0,k7_lattices(sK1,X0),X0)
| ~ v11_lattices(sK1) )
| ~ spl27_60
| spl27_90 ),
inference(forward_subsumption_resolution,[],[f2975,f348]) ).
fof(f2977,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v16_lattices(sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK1))
| r2_lattices(sK0,k7_lattices(sK1,X0),X0) )
| ~ spl27_60
| spl27_90 ),
inference(forward_subsumption_resolution,[],[f2976,f500]) ).
fof(f2978,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v16_lattices(sK0)
| r2_lattices(sK0,k7_lattices(sK1,X0),X0) )
| ~ spl27_60
| spl27_90 ),
inference(forward_demodulation,[],[f2977,f1173]) ).
fof(f2979,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v16_lattices(sK0)
| r2_lattices(sK0,k7_lattices(sK1,X0),X0) )
| ~ spl27_60
| spl27_90 ),
inference(duplicate_literal_removal,[],[f2978]) ).
fof(f2981,definition,
( spl27_211
<=> v16_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl27_211])],[avatar_definition]) ).
fof(f2982,plain,
( ~ v16_lattices(sK0)
| spl27_211 ),
inference(avatar_component_clause,[],[f2981]) ).
fof(f2983,plain,
( v16_lattices(sK0)
| ~ spl27_211 ),
inference(avatar_component_clause,[],[f2981]) ).
fof(f2985,definition,
( spl27_212
<=> ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_lattices(sK0,k7_lattices(sK1,X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl27_212])],[avatar_definition]) ).
fof(f2986,plain,
( ! [X0] :
( r2_lattices(sK0,k7_lattices(sK1,X0),X0)
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl27_212 ),
inference(avatar_component_clause,[],[f2985]) ).
fof(f2987,plain,
( spl27_211
| spl27_212
| ~ spl27_60
| spl27_90 ),
inference(avatar_split_clause,[],[f2979,f1430,f1064,f2985,f2981]) ).
fof(f3002,plain,
( v17_lattices(sK0)
| v3_struct_0(sK0)
| l3_lattices(sK0)
| ~ spl27_211 ),
inference(resolution,[],[f2983,f366]) ).
fof(f3003,plain,
( v3_struct_0(sK0)
| l3_lattices(sK0)
| ~ spl27_211 ),
inference(forward_subsumption_resolution,[],[f3002,f344]) ).
fof(f3004,plain,
( l3_lattices(sK0)
| ~ spl27_211 ),
inference(forward_subsumption_resolution,[],[f3003,f167]) ).
fof(f3005,plain,
( $false
| ~ spl27_211 ),
inference(forward_subsumption_resolution,[],[f3004,f345]) ).
fof(f3006,plain,
~ spl27_211,
inference(avatar_contradiction_clause,[],[f3005]) ).
fof(f4355,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| l3_lattices(sK0)
| v16_lattices(sK0)
| ~ v11_lattices(sK0)
| v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(k7_lattices(sK1,X0),u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0) )
| ~ spl27_212 ),
inference(resolution,[],[f2986,f375]) ).
fof(f4356,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| l3_lattices(sK0)
| v16_lattices(sK0)
| ~ v11_lattices(sK0)
| v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(k7_lattices(sK1,X0),u1_struct_0(sK0))
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0) )
| ~ spl27_212 ),
inference(duplicate_literal_removal,[],[f4355]) ).
fof(f4358,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v16_lattices(sK0)
| ~ v11_lattices(sK0)
| v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(k7_lattices(sK1,X0),u1_struct_0(sK0))
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0) )
| ~ spl27_212 ),
inference(forward_subsumption_resolution,[],[f4356,f345]) ).
fof(f4360,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v11_lattices(sK0)
| v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(k7_lattices(sK1,X0),u1_struct_0(sK0))
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0) )
| spl27_211
| ~ spl27_212 ),
inference(forward_subsumption_resolution,[],[f4358,f2982]) ).
fof(f4362,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v10_lattices(sK0)
| v3_struct_0(sK0)
| ~ m1_subset_1(k7_lattices(sK1,X0),u1_struct_0(sK0))
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0) )
| spl27_211
| ~ spl27_212 ),
inference(forward_subsumption_resolution,[],[f4360,f501]) ).
fof(f4364,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ m1_subset_1(k7_lattices(sK1,X0),u1_struct_0(sK0))
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0) )
| spl27_211
| ~ spl27_212 ),
inference(forward_subsumption_resolution,[],[f4362,f343]) ).
fof(f4366,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ m1_subset_1(k7_lattices(sK1,X0),u1_struct_0(sK0))
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0) )
| spl27_211
| ~ spl27_212 ),
inference(forward_subsumption_resolution,[],[f4364,f167]) ).
fof(f4368,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k7_lattices(sK1,X0) = k7_lattices(sK0,X0) )
| ~ spl27_60
| spl27_211
| ~ spl27_212 ),
inference(forward_subsumption_resolution,[],[f4366,f1383]) ).
fof(f4404,plain,
( k7_lattices(sK1,sK3) = k7_lattices(sK0,sK3)
| ~ spl27_60
| spl27_211
| ~ spl27_212 ),
inference(resolution,[],[f4368,f338]) ).
fof(f4426,plain,
( $false
| ~ spl27_60
| spl27_211
| ~ spl27_212 ),
inference(forward_subsumption_resolution,[],[f4404,f339]) ).
fof(f4427,plain,
( ~ spl27_60
| spl27_211
| ~ spl27_212 ),
inference(avatar_contradiction_clause,[],[f4426]) ).
cnf(s10,plain,
spl27_8,
inference(sat_conversion,[],[f689]) ).
cnf(s15,plain,
~ spl27_7,
inference(sat_conversion,[],[f714]) ).
cnf(s16,plain,
~ spl27_6,
inference(sat_conversion,[],[f722]) ).
cnf(s25,plain,
~ spl27_34,
inference(sat_conversion,[],[f875]) ).
cnf(s34,plain,
~ spl27_3,
inference(sat_conversion,[],[f992]) ).
cnf(s45,plain,
( spl27_3
| spl27_6
| spl27_7
| ~ spl27_8
| spl27_34
| spl27_60 ),
inference(sat_conversion,[],[f1066]) ).
cnf(s87,plain,
~ spl27_90,
inference(sat_conversion,[],[f1478]) ).
cnf(s259,plain,
( ~ spl27_60
| spl27_90
| spl27_211
| spl27_212 ),
inference(sat_conversion,[],[f2987]) ).
cnf(s262,plain,
~ spl27_211,
inference(sat_conversion,[],[f3006]) ).
cnf(s457,plain,
( ~ spl27_60
| spl27_211
| ~ spl27_212 ),
inference(sat_conversion,[],[f4427]) ).
cnf(s459,plain,
( ~ spl27_60
| spl27_90
| spl27_212 ),
inference(rat,[],[s259,s262]) ).
cnf(s526,plain,
spl27_60,
inference(rat,[],[s45,s15,s25,s16,s34,s10]) ).
cnf(s534,plain,
~ spl27_212,
inference(rat,[],[s457,s262,s526]) ).
cnf(s536,plain,
$false,
inference(rat,[],[s459,s87,s534,s526]) ).
fof(f4438,plain,
$false,
inference(avatar_sat_refutation,[],[s536]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 14:18:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.56 % (4034112)Will run a generic schedule for satisfiability detection.
% 0.16/0.56 % (4034121)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3103151404:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.56 % (4034118)% WARNING: option uhcvi not known.
% 0.16/0.56 % (4034117)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2684805533_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.56 % (4034118)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1877102418:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.56 % (4034119)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=455922379:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.56 % (4034120)dis+10_1_sil=32000:sp=arity:random_seed=1580404697:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.56 % (4034123)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=669500112:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.56 % (4034122)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3872594043:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.56 % TRYING [1]
% 0.16/0.56 % TRYING [2]
% 0.16/0.56 % TRYING [3]
% 0.16/0.56 % TRYING [4]
% 0.16/0.56 % (4034121)Instruction limit reached!
% 0.16/0.56 % (4034121)------------------------------
% 0.16/0.56 % (4034121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (4034121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (4034121)CaDiCaL version: 2.1.3
% 0.16/0.56 % (4034121)Termination reason: Instruction limit
% 0.16/0.56 % (4034121)Termination phase: Saturation
% 0.16/0.56 % (4034121)Time elapsed: 0.039 s
% 0.16/0.56 % (4034121)Peak memory usage: 13 MB
% 0.16/0.56 % (4034121)Instructions burned: 118 (million)
% 0.16/0.56 % (4034131)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3443544911:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.56 % TRYING [5]
% 0.16/0.56 % TRYING [1]
% 0.16/0.56 % TRYING [2]
% 0.16/0.56 % TRYING [3]
% 0.16/0.56 % TRYING [4]
% 0.16/0.56 % (4034120)Instruction limit reached!
% 0.16/0.56 % (4034120)------------------------------
% 0.16/0.56 % (4034120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (4034120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (4034120)CaDiCaL version: 2.1.3
% 0.16/0.56 % (4034120)Termination reason: Instruction limit
% 0.16/0.56 % (4034120)Termination phase: Saturation
% 0.16/0.56 % (4034120)Time elapsed: 0.064 s
% 0.16/0.56 % (4034120)Peak memory usage: 13 MB
% 0.16/0.56 % (4034120)Instructions burned: 103 (million)
% 0.16/0.56 % (4034122)Instruction limit reached!
% 0.16/0.56 % (4034122)------------------------------
% 0.16/0.56 % (4034122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (4034122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (4034122)CaDiCaL version: 2.1.3
% 0.16/0.56 % (4034122)Termination reason: Instruction limit
% 0.16/0.56 % (4034122)Termination phase: Saturation
% 0.16/0.56 % (4034122)Time elapsed: 0.073 s
% 0.16/0.56 % (4034122)Peak memory usage: 13 MB
% 0.16/0.56 % (4034122)Instructions burned: 132 (million)
% 0.16/0.56 % (4034133)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3607887462:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.16/0.56 % (4034123)Instruction limit reached!
% 0.16/0.56 % (4034123)------------------------------
% 0.16/0.56 % (4034123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (4034123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (4034123)CaDiCaL version: 2.1.3
% 0.16/0.56 % (4034123)Termination reason: Instruction limit
% 0.16/0.56 % (4034123)Termination phase: Saturation
% 0.16/0.56 % (4034123)Time elapsed: 0.089 s
% 0.16/0.56 % (4034123)Peak memory usage: 14 MB
% 0.16/0.56 % (4034123)Instructions burned: 160 (million)
% 0.16/0.56 % (4034134)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=165043199:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.16/0.56 % (4034118) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4034112-4034118"...
% 0.16/0.56 % TRYING [6]
% 0.16/0.56 % TRYING [5]
% 0.16/0.56 % (4034118)...printing done.
% 0.16/0.56 % (4034118)Refutation found. Thanks to Tanya!
% 0.16/0.56 % SZS status Theorem for theBenchmark
% 0.16/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.56 % (4034118)------------------------------
% 0.16/0.56 % (4034118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (4034118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (4034118)CaDiCaL version: 2.1.3
% 0.16/0.56 % (4034118)Termination reason: Refutation
% 0.16/0.56 % (4034118)Time elapsed: 0.106 s
% 0.16/0.56 % (4034118)Peak memory usage: 15 MB
% 0.16/0.56 % (4034118)Instructions burned: 166 (million)
% 0.16/0.56 % (4034112)Success in time 0.148 s
% 0.16/0.56 % Vampire exiting
%------------------------------------------------------------------------------