%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT304+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 : n013.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 11:46:43 AM UTC 2026
% Result : Theorem 6.69s 1.96s
% Output : Refutation 8.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of formulae : 137 ( 23 unt; 7 def)
% Number of atoms : 447 ( 44 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 513 ( 203 ~; 205 |; 75 &)
% ( 14 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 8 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-3 aty)
% Number of variables : 130 ( 0 sgn 128 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m2_filter_2(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m2_filter_2(u1_struct_0(X0),X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f10,axiom,
! [X0] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f12,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f19,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f27,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(f29,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(f41,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f51,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f52,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X0 = X3
& X1 = X4
& X2 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f66,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f67,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f69,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f71,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_filter_2) ).
fof(f80,plain,
? [X0] :
( ~ m2_filter_2(u1_struct_0(X0),X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f81,plain,
? [X0] :
( ~ m2_filter_2(u1_struct_0(X0),X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f83,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f82]) ).
fof(f93,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f96,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f99,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f109,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,[],[f27]) ).
fof(f110,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,[],[f29]) ).
fof(f119,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f120,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f119]) ).
fof(f135,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f136,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f135]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(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(flattening,[],[f137]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f147,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f146]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f149]) ).
fof(f159,plain,
( ~ m2_filter_2(u1_struct_0(sK0),sK0)
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f81]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f145]) ).
fof(f185,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0)) )
& ( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f150]) ).
fof(f188,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f159]) ).
fof(f189,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f159]) ).
fof(f190,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f159]) ).
fof(f191,plain,
~ m2_filter_2(u1_struct_0(sK0),sK0),
inference(cnf_transformation,[],[f159]) ).
fof(f192,plain,
! [X0] :
( ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f208,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f211,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f212,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f215,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f216,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f225,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,[],[f109]) ).
fof(f226,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,[],[f109]) ).
fof(f227,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f228,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,[],[f110]) ).
fof(f229,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,[],[f110]) ).
fof(f230,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f243,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f270,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f281,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| 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)
| X0 = X3 ),
inference(cnf_transformation,[],[f138]) ).
fof(f318,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| m1_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f319,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f185]) ).
fof(f322,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f325,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,k1_lattice2(X0))
| m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f334,plain,
k1_lattice2(sK0) = g3_lattices(u1_struct_0(sK0),u1_lattices(sK0),u2_lattices(sK0)),
inference(resolution,[],[f208,f188]) ).
fof(f336,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(resolution,[],[f212,f192]) ).
fof(f337,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) ),
inference(forward_subsumption_resolution,[],[f336,f211]) ).
fof(f338,plain,
k1_lattice2(sK0) = g3_lattices(u1_struct_0(k1_lattice2(sK0)),u2_lattices(k1_lattice2(sK0)),u1_lattices(k1_lattice2(sK0))),
inference(resolution,[],[f337,f188]) ).
fof(f340,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| m1_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f322,f318]) ).
fof(f341,plain,
! [X0] :
( m1_filter_2(u1_struct_0(X0),X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(duplicate_literal_removal,[],[f340]) ).
fof(f342,plain,
! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| m2_filter_2(u1_struct_0(k1_lattice2(X0)),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f341,f325]) ).
fof(f345,plain,
! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| v3_struct_0(k1_lattice2(X0))
| m2_filter_2(u1_struct_0(k1_lattice2(X0)),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f342,f270]) ).
fof(f346,plain,
! [X0] :
( v3_struct_0(k1_lattice2(X0))
| m2_filter_2(u1_struct_0(k1_lattice2(X0)),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f345,f211]) ).
fof(f347,plain,
! [X0] :
( m2_filter_2(u1_struct_0(k1_lattice2(X0)),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f346,f243]) ).
fof(f350,plain,
! [X0] :
( ~ l1_lattices(X0)
| m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(resolution,[],[f319,f225]) ).
fof(f351,plain,
! [X0] :
( ~ l2_lattices(X0)
| m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(resolution,[],[f319,f228]) ).
fof(f352,plain,
! [X0] :
( ~ l3_lattices(X0)
| m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(resolution,[],[f350,f216]) ).
fof(f353,plain,
! [X0] :
( ~ l3_lattices(X0)
| m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(resolution,[],[f351,f215]) ).
fof(f354,plain,
m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolution,[],[f352,f188]) ).
fof(f362,definition,
( spl25_1
<=> v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).
fof(f363,plain,
( ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| spl25_1 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f365,definition,
( spl25_2
<=> v1_funct_1(u1_lattices(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f366,plain,
( ~ v1_funct_1(u1_lattices(sK0))
| spl25_2 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f389,plain,
( ~ l1_lattices(sK0)
| spl25_1 ),
inference(resolution,[],[f363,f226]) ).
fof(f391,plain,
( ~ l3_lattices(sK0)
| spl25_1 ),
inference(resolution,[],[f389,f216]) ).
fof(f393,plain,
( $false
| spl25_1 ),
inference(forward_subsumption_resolution,[],[f391,f188]) ).
fof(f394,plain,
spl25_1,
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f395,plain,
( ~ l1_lattices(sK0)
| spl25_2 ),
inference(resolution,[],[f366,f227]) ).
fof(f397,plain,
( ~ l3_lattices(sK0)
| spl25_2 ),
inference(resolution,[],[f395,f216]) ).
fof(f399,plain,
( $false
| spl25_2 ),
inference(forward_subsumption_resolution,[],[f397,f188]) ).
fof(f400,plain,
spl25_2,
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f414,definition,
( spl25_10
<=> u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_10])],[avatar_definition]) ).
fof(f415,plain,
( u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0))
| ~ spl25_10 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f420,plain,
m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolution,[],[f353,f188]) ).
fof(f426,plain,
! [X2,X3,X0,X1] :
( g3_lattices(X1,X2,X3) != g3_lattices(u1_struct_0(sK0),X0,u2_lattices(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| u1_struct_0(sK0) = X1 ),
inference(resolution,[],[f420,f281]) ).
fof(f430,definition,
( spl25_12
<=> v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_12])],[avatar_definition]) ).
fof(f431,plain,
( ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| spl25_12 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f433,definition,
( spl25_13
<=> v1_funct_1(u2_lattices(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_13])],[avatar_definition]) ).
fof(f434,plain,
( ~ v1_funct_1(u2_lattices(sK0))
| spl25_13 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f444,definition,
( spl25_16
<=> ! [X0,X3,X2,X1] :
( g3_lattices(X1,X2,X3) != g3_lattices(u1_struct_0(sK0),X0,u2_lattices(sK0))
| u1_struct_0(sK0) = X1
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl25_16])],[avatar_definition]) ).
fof(f445,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| u1_struct_0(sK0) = X1
| g3_lattices(X1,X2,X3) != g3_lattices(u1_struct_0(sK0),X0,u2_lattices(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(X0) )
| ~ spl25_16 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f446,plain,
( ~ spl25_12
| ~ spl25_13
| spl25_16 ),
inference(avatar_split_clause,[],[f426,f444,f433,f430]) ).
fof(f465,plain,
( ~ l2_lattices(sK0)
| spl25_12 ),
inference(resolution,[],[f431,f229]) ).
fof(f467,plain,
( ~ l3_lattices(sK0)
| spl25_12 ),
inference(resolution,[],[f465,f215]) ).
fof(f469,plain,
( $false
| spl25_12 ),
inference(forward_subsumption_resolution,[],[f467,f188]) ).
fof(f470,plain,
spl25_12,
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f471,plain,
( ~ l2_lattices(sK0)
| spl25_13 ),
inference(resolution,[],[f434,f230]) ).
fof(f473,plain,
( ~ l3_lattices(sK0)
| spl25_13 ),
inference(resolution,[],[f471,f215]) ).
fof(f475,plain,
( $false
| spl25_13 ),
inference(forward_subsumption_resolution,[],[f473,f188]) ).
fof(f476,plain,
spl25_13,
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f477,plain,
( ! [X2,X0,X1] :
( u1_struct_0(sK0) = X0
| g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u1_lattices(sK0),u2_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0)) )
| ~ spl25_16 ),
inference(resolution,[],[f445,f354]) ).
fof(f483,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u1_lattices(sK0)) )
| ~ spl25_16 ),
inference(forward_demodulation,[],[f477,f334]) ).
fof(f485,definition,
( spl25_22
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl25_22])],[avatar_definition]) ).
fof(f486,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0 )
| ~ spl25_22 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f487,plain,
( ~ spl25_2
| ~ spl25_1
| spl25_22
| ~ spl25_16 ),
inference(avatar_split_clause,[],[f483,f444,f485,f362,f365]) ).
fof(f488,plain,
( k1_lattice2(sK0) != k1_lattice2(sK0)
| u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0))
| ~ spl25_22 ),
inference(superposition,[],[f486,f338]) ).
fof(f489,plain,
( u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0))
| ~ spl25_22 ),
inference(trivial_inequality_removal,[],[f488]) ).
fof(f490,plain,
( spl25_10
| ~ spl25_22 ),
inference(avatar_split_clause,[],[f489,f485,f414]) ).
fof(f492,plain,
( m2_filter_2(u1_struct_0(sK0),sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl25_10 ),
inference(superposition,[],[f347,f415]) ).
fof(f558,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl25_10 ),
inference(forward_subsumption_resolution,[],[f492,f191]) ).
fof(f559,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl25_10 ),
inference(forward_subsumption_resolution,[],[f558,f190]) ).
fof(f560,plain,
( ~ l3_lattices(sK0)
| ~ spl25_10 ),
inference(forward_subsumption_resolution,[],[f559,f189]) ).
fof(f561,plain,
( $false
| ~ spl25_10 ),
inference(forward_subsumption_resolution,[],[f560,f188]) ).
fof(f562,plain,
~ spl25_10,
inference(avatar_contradiction_clause,[],[f561]) ).
cnf(s7,plain,
spl25_1,
inference(sat_conversion,[],[f394]) ).
cnf(s9,plain,
spl25_2,
inference(sat_conversion,[],[f400]) ).
cnf(s15,plain,
( ~ spl25_12
| ~ spl25_13
| spl25_16 ),
inference(sat_conversion,[],[f446]) ).
cnf(s21,plain,
spl25_12,
inference(sat_conversion,[],[f470]) ).
cnf(s23,plain,
spl25_13,
inference(sat_conversion,[],[f476]) ).
cnf(s25,plain,
( ~ spl25_1
| ~ spl25_2
| ~ spl25_16
| spl25_22 ),
inference(sat_conversion,[],[f487]) ).
cnf(s26,plain,
( spl25_10
| ~ spl25_22 ),
inference(sat_conversion,[],[f490]) ).
cnf(s37,plain,
~ spl25_10,
inference(sat_conversion,[],[f562]) ).
cnf(s38,plain,
~ spl25_22,
inference(rat,[],[s26,s37]) ).
cnf(s39,plain,
( ~ spl25_1
| ~ spl25_2
| ~ spl25_16 ),
inference(rat,[],[s25,s38]) ).
cnf(s44,plain,
spl25_16,
inference(rat,[],[s15,s23,s21]) ).
cnf(s49,plain,
~ spl25_1,
inference(rat,[],[s39,s44,s9]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s7,s49]) ).
fof(f563,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT304+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 : n013.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 14:23:51 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
% 0.10/0.41 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
% 6.69/1.96 % (279614)Detected formulas, will run a generic FOF schedule.
% 6.69/1.96 % (279623)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=544657636:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.69/1.96 % (279623)Instruction limit reached!
% 6.69/1.96 % (279623)------------------------------
% 6.69/1.96 % (279623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (279623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (279623)CaDiCaL version: 2.1.3
% 6.69/1.96 % (279623)Termination reason: Instruction limit
% 6.69/1.96 % (279623)Termination phase: Saturation
% 6.69/1.96 % (279623)Time elapsed: 0.036 s
% 6.69/1.96 % (279623)Peak memory usage: 88 MB
% 6.69/1.96 % (279623)Instructions burned: 120 (million)
% 6.69/1.96 % (279619)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=129260845:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.69/1.96 % (279624)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3347857005:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.69/1.96 % (279620)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=1623437690:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.69/1.96 % (279625)dis-21_1_sil=8000:lcm=predicate:random_seed=874033152: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)
% 6.69/1.96 % (279622)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4171220623:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.69/1.96 % (279621)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=931264041:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.69/1.96 % (279622)Refutation not found, incomplete strategy
% 6.69/1.96 % (279622)------------------------------
% 6.69/1.96 % (279622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (279622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (279622)CaDiCaL version: 2.1.3
% 6.69/1.96 % (279622)Termination reason: Refutation not found, incomplete strategy
% 6.69/1.96 % (279622)Time elapsed: 0.001 s
% 6.69/1.96 % (279622)Peak memory usage: 87 MB
% 6.69/1.96 % (279625)Instruction limit reached!
% 6.69/1.96 % (279625)------------------------------
% 6.69/1.96 % (279625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (279625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (279625)CaDiCaL version: 2.1.3
% 6.69/1.96 % (279625)Termination reason: Instruction limit
% 6.69/1.96 % (279625)Termination phase: Saturation
% 6.69/1.96 % (279625)Time elapsed: 0.069 s
% 6.69/1.96 % (279625)Peak memory usage: 90 MB
% 6.69/1.96 % (279625)Instructions burned: 129 (million)
% 6.69/1.96 % (279624)Instruction limit reached!
% 6.69/1.96 % (279624)------------------------------
% 6.69/1.96 % (279624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (279624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (279624)CaDiCaL version: 2.1.3
% 6.69/1.96 % (279624)Termination reason: Instruction limit
% 6.69/1.96 % (279624)Termination phase: Saturation
% 6.69/1.96 % (279624)Time elapsed: 0.099 s
% 6.69/1.96 % (279624)Peak memory usage: 89 MB
% 6.69/1.96 % (279624)Instructions burned: 139 (million)
% 6.69/1.96 % (279627)lrs+10_1_sil=8000:sp=occurrence:random_seed=3741681003:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.69/1.96 % (279627)Instruction limit reached!
% 6.69/1.96 % (279627)------------------------------
% 6.69/1.96 % (279627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (279627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (279627)CaDiCaL version: 2.1.3
% 6.69/1.96 % (279627)Termination reason: Instruction limit
% 6.69/1.96 % (279627)Termination phase: Saturation
% 6.69/1.96 % (279627)Time elapsed: 0.077 s
% 6.69/1.96 % (279627)Peak memory usage: 90 MB
% 6.69/1.96 % (279627)Instructions burned: 287 (million)
% 6.69/1.96 % (279634)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1866082838:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.69/1.96 % (279634)Refutation not found, incomplete strategy
% 6.69/1.96 % (279634)------------------------------
% 6.69/1.96 % (279634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (279634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (279634)CaDiCaL version: 2.1.3
% 6.69/1.96 % (279634)Termination reason: Refutation not found, incomplete strategy
% 6.69/1.96 % (279634)Time elapsed: 0.002 s
% 6.69/1.96 % (279634)Peak memory usage: 88 MB
% 6.69/1.96 % (279634)Instructions burned: 1 (million)
% 6.69/1.96 % (279622)------------------------------
% 6.69/1.96 % (279622)------------------------------
% 6.69/1.96 % (279635)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1212687518:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.69/1.96 % (279635)Refutation not found, incomplete strategy
% 6.69/1.96 % (279635)------------------------------
% 6.69/1.96 % (279635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (279635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (279635)CaDiCaL version: 2.1.3
% 6.69/1.96 % (279635)Termination reason: Refutation not found, incomplete strategy
% 6.69/1.96 % (279635)Time elapsed: 0.004 s
% 6.69/1.96 % (279635)Peak memory usage: 88 MB
% 6.69/1.96 % (279635)Instructions burned: 4 (million)
% 6.69/1.96 % (279637)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1516782159:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.69/1.96 % (279640)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1717253509:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.69/1.96 % (279640)Refutation not found, incomplete strategy
% 6.69/1.96 % (279640)------------------------------
% 6.69/1.96 % (279640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (279640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (279640)CaDiCaL version: 2.1.3
% 6.69/1.96 % (279640)Termination reason: Refutation not found, incomplete strategy
% 6.69/1.96 % (279640)Time elapsed: 0.003 s
% 6.69/1.96 % (279640)Peak memory usage: 88 MB
% 6.69/1.96 % (279640)Instructions burned: 3 (million)
% 6.69/1.96 % (279637)Instruction limit reached!
% 6.69/1.96 % (279637)------------------------------
% 6.69/1.96 % (279637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (279637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (279637)CaDiCaL version: 2.1.3
% 6.69/1.96 % (279637)Termination reason: Instruction limit
% 6.69/1.96 % (279637)Termination phase: Saturation
% 6.69/1.96 % (279637)Time elapsed: 0.079 s
% 6.69/1.96 % (279637)Peak memory usage: 94 MB
% 6.69/1.96 % (279637)Instructions burned: 249 (million)
% 6.69/1.96 % (279634)------------------------------
% 6.69/1.96 % (279634)------------------------------
% 6.69/1.96 % (279635)------------------------------
% 6.69/1.96 % (279635)------------------------------
% 6.69/1.96 % (279643)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=726955442:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.69/1.96 % (279620)First to succeed.
% 6.69/1.96 % (279644)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1757495959:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.69/1.96 % (279620)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-279614"
% 6.69/1.96 % (279619)Also succeeded, but the first one will report.
% 6.69/1.96 % (279645)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2176225264:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.69/1.96 % (279621)Also succeeded, but the first one will report.
% 6.69/1.96 % (279640)------------------------------
% 6.69/1.96 % (279640)------------------------------
% 6.69/1.96 % (279644)Also succeeded, but the first one will report.
% 6.69/1.96 % (279645)Instruction limit reached!
% 6.69/1.96 % (279645)------------------------------
% 6.69/1.96 % (279645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (279645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (279645)CaDiCaL version: 2.1.3
% 6.69/1.96 % (279645)Termination reason: Instruction limit
% 6.69/1.96 % (279645)Termination phase: Saturation
% 6.69/1.96 % (279645)Time elapsed: 0.065 s
% 6.69/1.96 % (279645)Peak memory usage: 89 MB
% 6.69/1.96 % (279645)Instructions burned: 129 (million)
% 6.69/1.96 % (279649)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=304807558:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.69/1.96 % (279649)Refutation not found, incomplete strategy
% 6.69/1.96 % (279649)------------------------------
% 6.69/1.96 % (279649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.69/1.96 % (279649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.96 % (279649)CaDiCaL version: 2.1.3
% 6.69/1.96 % (279649)Termination reason: Refutation not found, incomplete strategy
% 6.69/1.96 % (279649)Time elapsed: 0.002 s
% 6.69/1.96 % (279649)Peak memory usage: 88 MB
% 6.69/1.96 % (279649)Instructions burned: 1 (million)
% 6.69/1.96 % (279650)lrs+10_1_sil=8000:sp=occurrence:random_seed=2154890441:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 6.69/1.96 % (279620)Refutation found. Thanks to Tanya!
% 6.69/1.96 % SZS status Theorem for theBenchmark
% 6.69/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.27/2.05 % (279620)------------------------------
% 8.27/2.05 % (279620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.27/2.05 % (279620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.27/2.05 % (279620)CaDiCaL version: 2.1.3
% 8.27/2.05 % (279620)Termination reason: Refutation
% 8.27/2.05 % (279620)Time elapsed: 0.648 s
% 8.27/2.05 % (279620)Peak memory usage: 129 MB
% 8.27/2.05 % (279620)Instructions burned: 964 (million)
% 8.27/2.05 % (279620)------------------------------
% 8.27/2.05 % (279620)------------------------------
% 8.27/2.05 % (279614)Success in time 1.107 s
% 8.27/2.05 % Vampire exiting
%------------------------------------------------------------------------------