%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT302+4 : 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 : n006.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 11:46:42 AM UTC 2026
% Result : Theorem 14.70s 4.97s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 111 ( 17 unt; 6 def)
% Number of atoms : 460 ( 22 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 557 ( 208 ~; 240 |; 79 &)
% ( 15 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 52 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21513,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_filter_0) ).
fof(f22747,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(f22752,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(f22780,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f22827,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_lattice2) ).
fof(f22842,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v13_lattices(X0)
& l3_lattices(X0) )
=> k5_lattices(X0) = k6_lattices(k1_lattice2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t78_lattice2) ).
fof(f22852,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(f34606,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(f34675,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(f34684,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v13_lattices(X0)
=> m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_filter_2) ).
fof(f34685,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v13_lattices(X0)
=> m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0) ) ),
inference(negated_conjecture,[status(cth)],[f34684]) ).
fof(f34718,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_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)) ) ),
inference(pure_predicate_removal,[],[f22752]) ).
fof(f34730,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,[],[f34606]) ).
fof(f34731,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,[],[f34730]) ).
fof(f34865,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,[],[f34675]) ).
fof(f34866,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,[],[f34865]) ).
fof(f34883,plain,
? [X0] :
( ~ m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f34685]) ).
fof(f34884,plain,
? [X0] :
( ~ m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f34883]) ).
fof(f34989,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22852]) ).
fof(f34996,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22827]) ).
fof(f34997,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34996]) ).
fof(f35006,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22780]) ).
fof(f35007,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35006]) ).
fof(f35009,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_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,[],[f34718]) ).
fof(f35010,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_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,[],[f35009]) ).
fof(f35011,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22747]) ).
fof(f35012,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35011]) ).
fof(f35228,plain,
! [X0] :
( k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22842]) ).
fof(f35229,plain,
! [X0] :
( k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35228]) ).
fof(f35240,plain,
! [X0] :
( m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21513]) ).
fof(f35241,plain,
! [X0] :
( m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35240]) ).
fof(f35335,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,[],[f34731]) ).
fof(f35355,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,[],[f34866]) ).
fof(f35361,plain,
( ~ m2_filter_2(k6_domain_1(u1_struct_0(sK17),k5_lattices(sK17)),sK17)
& v13_lattices(sK17)
& ~ v3_struct_0(sK17)
& v10_lattices(sK17)
& l3_lattices(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f34884]) ).
fof(f35407,plain,
! [X0] :
( ( ( v13_lattices(X0)
| ~ v14_lattices(k1_lattice2(X0)) )
& ( v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f34997]) ).
fof(f35561,plain,
! [X0,X1] :
( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35335]) ).
fof(f35674,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(cnf_transformation,[],[f35355]) ).
fof(f35711,plain,
l3_lattices(sK17),
inference(cnf_transformation,[],[f35361]) ).
fof(f35712,plain,
v10_lattices(sK17),
inference(cnf_transformation,[],[f35361]) ).
fof(f35713,plain,
~ v3_struct_0(sK17),
inference(cnf_transformation,[],[f35361]) ).
fof(f35714,plain,
v13_lattices(sK17),
inference(cnf_transformation,[],[f35361]) ).
fof(f35715,plain,
~ m2_filter_2(k6_domain_1(u1_struct_0(sK17),k5_lattices(sK17)),sK17),
inference(cnf_transformation,[],[f35361]) ).
fof(f35854,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34989]) ).
fof(f35868,plain,
! [X0] :
( v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35407]) ).
fof(f35877,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35007]) ).
fof(f35879,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35010]) ).
fof(f35888,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35012]) ).
fof(f36177,plain,
! [X0] :
( k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35229]) ).
fof(f36185,plain,
! [X0] :
( m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35241]) ).
fof(f36502,plain,
! [X0] :
( m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f36185]) ).
fof(f36517,definition,
( spl161_1
<=> v3_struct_0(sK17) ),
introduced(definition,[new_symbols(definition,[spl161_1])],[avatar_definition]) ).
fof(f36519,plain,
( ~ v3_struct_0(sK17)
| spl161_1 ),
inference(avatar_component_clause,[],[f36517]) ).
fof(f36520,plain,
~ spl161_1,
inference(avatar_split_clause,[],[f35713,f36517]) ).
fof(f36522,definition,
( spl161_2
<=> m2_filter_2(k6_domain_1(u1_struct_0(sK17),k5_lattices(sK17)),sK17) ),
introduced(definition,[new_symbols(definition,[spl161_2])],[avatar_definition]) ).
fof(f36524,plain,
( ~ m2_filter_2(k6_domain_1(u1_struct_0(sK17),k5_lattices(sK17)),sK17)
| spl161_2 ),
inference(avatar_component_clause,[],[f36522]) ).
fof(f36525,plain,
~ spl161_2,
inference(avatar_split_clause,[],[f35715,f36522]) ).
fof(f36537,plain,
( ~ m1_filter_2(k6_domain_1(u1_struct_0(sK17),k5_lattices(sK17)),k1_lattice2(sK17))
| v3_struct_0(sK17)
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl161_2 ),
inference(resolution,[],[f36524,f35674]) ).
fof(f36607,plain,
( ~ m1_filter_2(k6_domain_1(u1_struct_0(sK17),k5_lattices(sK17)),k1_lattice2(sK17))
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl161_1
| spl161_2 ),
inference(forward_subsumption_resolution,[],[f36537,f36519]) ).
fof(f36653,plain,
( ~ m1_filter_2(k6_domain_1(u1_struct_0(sK17),k5_lattices(sK17)),k1_lattice2(sK17))
| ~ l3_lattices(sK17)
| spl161_1
| spl161_2 ),
inference(forward_subsumption_resolution,[],[f36607,f35712]) ).
fof(f36699,plain,
( ~ m1_filter_2(k6_domain_1(u1_struct_0(sK17),k5_lattices(sK17)),k1_lattice2(sK17))
| spl161_1
| spl161_2 ),
inference(forward_subsumption_resolution,[],[f36653,f35711]) ).
fof(f36726,definition,
( spl161_3
<=> v10_lattices(sK17) ),
introduced(definition,[new_symbols(definition,[spl161_3])],[avatar_definition]) ).
fof(f36728,plain,
( v10_lattices(sK17)
| ~ spl161_3 ),
inference(avatar_component_clause,[],[f36726]) ).
fof(f36729,plain,
spl161_3,
inference(avatar_split_clause,[],[f35712,f36726]) ).
fof(f36731,definition,
( spl161_4
<=> l3_lattices(sK17) ),
introduced(definition,[new_symbols(definition,[spl161_4])],[avatar_definition]) ).
fof(f36733,plain,
( l3_lattices(sK17)
| ~ spl161_4 ),
inference(avatar_component_clause,[],[f36731]) ).
fof(f36734,plain,
spl161_4,
inference(avatar_split_clause,[],[f35711,f36731]) ).
fof(f36957,plain,
( v14_lattices(k1_lattice2(sK17))
| ~ v13_lattices(sK17)
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl161_1 ),
inference(resolution,[],[f36519,f35868]) ).
fof(f36962,plain,
( u1_struct_0(sK17) = u1_struct_0(k1_lattice2(sK17))
| ~ l3_lattices(sK17)
| spl161_1 ),
inference(resolution,[],[f36519,f35877]) ).
fof(f36963,plain,
( v10_lattices(k1_lattice2(sK17))
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl161_1 ),
inference(resolution,[],[f36519,f35879]) ).
fof(f36972,plain,
( ~ v3_struct_0(k1_lattice2(sK17))
| ~ l3_lattices(sK17)
| spl161_1 ),
inference(resolution,[],[f36519,f35888]) ).
fof(f37051,plain,
( k5_lattices(sK17) = k6_lattices(k1_lattice2(sK17))
| ~ v10_lattices(sK17)
| ~ v13_lattices(sK17)
| ~ l3_lattices(sK17)
| spl161_1 ),
inference(resolution,[],[f36519,f36177]) ).
fof(f37385,plain,
( k5_lattices(sK17) = k6_lattices(k1_lattice2(sK17))
| ~ v13_lattices(sK17)
| ~ l3_lattices(sK17)
| spl161_1
| ~ spl161_3 ),
inference(forward_subsumption_resolution,[],[f37051,f36728]) ).
fof(f37463,plain,
( ~ v3_struct_0(k1_lattice2(sK17))
| spl161_1
| ~ spl161_4 ),
inference(forward_subsumption_resolution,[],[f36972,f36733]) ).
fof(f37470,plain,
( v10_lattices(k1_lattice2(sK17))
| ~ l3_lattices(sK17)
| spl161_1
| ~ spl161_3 ),
inference(forward_subsumption_resolution,[],[f36963,f36728]) ).
fof(f37471,plain,
( u1_struct_0(sK17) = u1_struct_0(k1_lattice2(sK17))
| spl161_1
| ~ spl161_4 ),
inference(forward_subsumption_resolution,[],[f36962,f36733]) ).
fof(f37475,plain,
( v14_lattices(k1_lattice2(sK17))
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl161_1 ),
inference(forward_subsumption_resolution,[],[f36957,f35714]) ).
fof(f37825,plain,
( k5_lattices(sK17) = k6_lattices(k1_lattice2(sK17))
| ~ l3_lattices(sK17)
| spl161_1
| ~ spl161_3 ),
inference(forward_subsumption_resolution,[],[f37385,f35714]) ).
fof(f37879,plain,
( v10_lattices(k1_lattice2(sK17))
| spl161_1
| ~ spl161_3
| ~ spl161_4 ),
inference(forward_subsumption_resolution,[],[f37470,f36733]) ).
fof(f37880,plain,
( v14_lattices(k1_lattice2(sK17))
| ~ l3_lattices(sK17)
| spl161_1
| ~ spl161_3 ),
inference(forward_subsumption_resolution,[],[f37475,f36728]) ).
fof(f38122,plain,
( k5_lattices(sK17) = k6_lattices(k1_lattice2(sK17))
| spl161_1
| ~ spl161_3
| ~ spl161_4 ),
inference(forward_subsumption_resolution,[],[f37825,f36733]) ).
fof(f38129,plain,
( v14_lattices(k1_lattice2(sK17))
| spl161_1
| ~ spl161_3
| ~ spl161_4 ),
inference(forward_subsumption_resolution,[],[f37880,f36733]) ).
fof(f38989,plain,
( l3_lattices(k1_lattice2(sK17))
| ~ spl161_4 ),
inference(resolution,[],[f36733,f35854]) ).
fof(f39425,definition,
( spl161_6
<=> m1_filter_2(k6_domain_1(u1_struct_0(sK17),k5_lattices(sK17)),k1_lattice2(sK17)) ),
introduced(definition,[new_symbols(definition,[spl161_6])],[avatar_definition]) ).
fof(f39427,plain,
( ~ m1_filter_2(k6_domain_1(u1_struct_0(sK17),k5_lattices(sK17)),k1_lattice2(sK17))
| spl161_6 ),
inference(avatar_component_clause,[],[f39425]) ).
fof(f39428,plain,
( ~ spl161_6
| spl161_1
| spl161_2 ),
inference(avatar_split_clause,[],[f36699,f36522,f36517,f39425]) ).
fof(f39431,plain,
( ~ m1_filter_0(k6_domain_1(u1_struct_0(sK17),k5_lattices(sK17)),k1_lattice2(sK17))
| v3_struct_0(k1_lattice2(sK17))
| ~ v10_lattices(k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17))
| spl161_6 ),
inference(resolution,[],[f39427,f35561]) ).
fof(f39455,plain,
( ~ m1_filter_0(k6_domain_1(u1_struct_0(sK17),k5_lattices(sK17)),k1_lattice2(sK17))
| ~ v10_lattices(k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17))
| spl161_1
| ~ spl161_4
| spl161_6 ),
inference(forward_subsumption_resolution,[],[f39431,f37463]) ).
fof(f39468,plain,
( ~ m1_filter_0(k6_domain_1(u1_struct_0(sK17),k5_lattices(sK17)),k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17))
| spl161_1
| ~ spl161_3
| ~ spl161_4
| spl161_6 ),
inference(forward_subsumption_resolution,[],[f39455,f37879]) ).
fof(f39479,plain,
( ~ m1_filter_0(k6_domain_1(u1_struct_0(sK17),k5_lattices(sK17)),k1_lattice2(sK17))
| spl161_1
| ~ spl161_3
| ~ spl161_4
| spl161_6 ),
inference(forward_subsumption_resolution,[],[f39468,f38989]) ).
fof(f39582,definition,
( spl161_9
<=> k5_lattices(sK17) = k6_lattices(k1_lattice2(sK17)) ),
introduced(definition,[new_symbols(definition,[spl161_9])],[avatar_definition]) ).
fof(f39584,plain,
( k5_lattices(sK17) = k6_lattices(k1_lattice2(sK17))
| ~ spl161_9 ),
inference(avatar_component_clause,[],[f39582]) ).
fof(f39585,plain,
( spl161_9
| spl161_1
| ~ spl161_3
| ~ spl161_4 ),
inference(avatar_split_clause,[],[f38122,f36731,f36726,f36517,f39582]) ).
fof(f39609,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK17)),k5_lattices(sK17)),k1_lattice2(sK17))
| v3_struct_0(k1_lattice2(sK17))
| ~ v10_lattices(k1_lattice2(sK17))
| ~ v14_lattices(k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17))
| ~ spl161_9 ),
inference(superposition,[],[f36502,f39584]) ).
fof(f39612,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK17)),k5_lattices(sK17)),k1_lattice2(sK17))
| ~ v10_lattices(k1_lattice2(sK17))
| ~ v14_lattices(k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17))
| spl161_1
| ~ spl161_4
| ~ spl161_9 ),
inference(forward_subsumption_resolution,[],[f39609,f37463]) ).
fof(f39637,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK17)),k5_lattices(sK17)),k1_lattice2(sK17))
| ~ v14_lattices(k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17))
| spl161_1
| ~ spl161_3
| ~ spl161_4
| ~ spl161_9 ),
inference(forward_subsumption_resolution,[],[f39612,f37879]) ).
fof(f39662,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK17)),k5_lattices(sK17)),k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17))
| spl161_1
| ~ spl161_3
| ~ spl161_4
| ~ spl161_9 ),
inference(forward_subsumption_resolution,[],[f39637,f38129]) ).
fof(f39685,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK17)),k5_lattices(sK17)),k1_lattice2(sK17))
| spl161_1
| ~ spl161_3
| ~ spl161_4
| ~ spl161_9 ),
inference(forward_subsumption_resolution,[],[f39662,f38989]) ).
fof(f39706,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(sK17),k5_lattices(sK17)),k1_lattice2(sK17))
| spl161_1
| ~ spl161_3
| ~ spl161_4
| ~ spl161_9 ),
inference(forward_demodulation,[],[f39685,f37471]) ).
fof(f39723,plain,
( $false
| spl161_1
| ~ spl161_3
| ~ spl161_4
| spl161_6
| ~ spl161_9 ),
inference(forward_subsumption_resolution,[],[f39706,f39479]) ).
fof(f39724,plain,
( spl161_1
| ~ spl161_3
| ~ spl161_4
| spl161_6
| ~ spl161_9 ),
inference(avatar_contradiction_clause,[],[f39723]) ).
cnf(s1,plain,
~ spl161_1,
inference(sat_conversion,[],[f36520]) ).
cnf(s2,plain,
~ spl161_2,
inference(sat_conversion,[],[f36525]) ).
cnf(s3,plain,
spl161_3,
inference(sat_conversion,[],[f36729]) ).
cnf(s4,plain,
spl161_4,
inference(sat_conversion,[],[f36734]) ).
cnf(s6,plain,
( spl161_1
| spl161_2
| ~ spl161_6 ),
inference(sat_conversion,[],[f39428]) ).
cnf(s9,plain,
( spl161_1
| ~ spl161_3
| ~ spl161_4
| spl161_9 ),
inference(sat_conversion,[],[f39585]) ).
cnf(s10,plain,
( spl161_1
| ~ spl161_3
| ~ spl161_4
| spl161_6
| ~ spl161_9 ),
inference(sat_conversion,[],[f39724]) ).
cnf(s11,plain,
spl161_9,
inference(rat,[],[s9,s3,s4,s1]) ).
cnf(s14,plain,
~ spl161_6,
inference(rat,[],[s6,s2,s1]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s10,s1,s3,s4,s11,s14]) ).
fof(f39740,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT302+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n006.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 14:23:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 14.70/4.97 % (3027028)Detected formulas, will run a generic FOF schedule.
% 14.70/4.97 % (3027033)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=2256695194:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 14.70/4.97 % (3027037)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2383715940:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 14.70/4.97 % (3027035)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=2340922204:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 14.70/4.97 % (3027036)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2785671036:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 14.70/4.97 % (3027034)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=2522164840:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 14.70/4.97 % (3027039)dis-21_1_sil=8000:lcm=predicate:random_seed=337695667:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2978 on theBenchmark for (2978ds/129Mi)
% 14.70/4.97 % (3027038)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1559640567:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 14.70/4.97 % (3027038)Instruction limit reached!
% 14.70/4.97 % (3027038)------------------------------
% 14.70/4.97 % (3027038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/4.97 % (3027038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/4.97 % (3027038)CaDiCaL version: 2.1.3
% 14.70/4.97 % (3027038)Termination reason: Instruction limit
% 14.70/4.97 % (3027038)Termination phase: Property scanning
% 14.70/4.97 % (3027038)Time elapsed: 0.062 s
% 14.70/4.97 % (3027038)Peak memory usage: 136 MB
% 14.70/4.97 % (3027038)Instructions burned: 139 (million)
% 14.70/4.97 % (3027036)Instruction limit reached!
% 14.70/4.97 % (3027036)------------------------------
% 14.70/4.97 % (3027036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/4.97 % (3027036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/4.97 % (3027036)CaDiCaL version: 2.1.3
% 14.70/4.97 % (3027036)Termination reason: Instruction limit
% 14.70/4.97 % (3027036)Termination phase: SInE selection
% 14.70/4.97 % (3027036)Time elapsed: 0.083 s
% 14.70/4.97 % (3027036)Peak memory usage: 136 MB
% 14.70/4.97 % (3027036)Instructions burned: 109 (million)
% 14.70/4.97 % (3027037)Instruction limit reached!
% 14.70/4.97 % (3027037)------------------------------
% 14.70/4.97 % (3027037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/4.97 % (3027037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/4.97 % (3027037)CaDiCaL version: 2.1.3
% 14.70/4.97 % (3027037)Termination reason: Instruction limit
% 14.70/4.97 % (3027037)Termination phase: SInE selection
% 14.70/4.97 % (3027037)Time elapsed: 0.089 s
% 14.70/4.97 % (3027037)Peak memory usage: 136 MB
% 14.70/4.97 % (3027037)Instructions burned: 120 (million)
% 14.70/4.97 % (3027039)Instruction limit reached!
% 14.70/4.97 % (3027039)------------------------------
% 14.70/4.97 % (3027039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/4.97 % (3027039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/4.97 % (3027039)CaDiCaL version: 2.1.3
% 14.70/4.97 % (3027039)Termination reason: Instruction limit
% 14.70/4.97 % (3027039)Termination phase: SInE selection
% 14.70/4.97 % (3027039)Time elapsed: 0.091 s
% 14.70/4.97 % (3027039)Peak memory usage: 136 MB
% 14.70/4.97 % (3027039)Instructions burned: 129 (million)
% 14.70/4.97 % (3027047)lrs+10_1_sil=8000:sp=occurrence:random_seed=2886260317:i=285:sd=3:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/285Mi)
% 14.70/4.97 % (3027048)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3633921181:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/157Mi)
% 14.70/4.97 % (3027049)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3942129882:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 14.70/4.97 % (3027050)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=2607564058:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 14.70/4.97 % (3027048)Instruction limit reached!
% 14.70/4.97 % (3027048)------------------------------
% 14.70/4.97 % (3027048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/4.97 % (3027048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/4.97 % (3027048)CaDiCaL version: 2.1.3
% 14.70/4.97 % (3027048)Termination reason: Instruction limit
% 14.70/4.97 % (3027048)Termination phase: Property scanning
% 14.70/4.97 % (3027048)Time elapsed: 0.069 s
% 14.70/4.97 % (3027048)Peak memory usage: 136 MB
% 14.70/4.97 % (3027048)Instructions burned: 158 (million)
% 14.70/4.97 % (3027050)Instruction limit reached!
% 14.70/4.97 % (3027050)------------------------------
% 14.70/4.97 % (3027050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/4.97 % (3027050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/4.97 % (3027050)CaDiCaL version: 2.1.3
% 14.70/4.97 % (3027050)Termination reason: Instruction limit
% 14.70/4.97 % (3027050)Termination phase: Property scanning
% 14.70/4.97 % (3027050)Time elapsed: 0.107 s
% 14.70/4.97 % (3027050)Peak memory usage: 136 MB
% 14.70/4.97 % (3027050)Instructions burned: 249 (million)
% 14.70/4.97 % (3027047)Instruction limit reached!
% 14.70/4.97 % (3027047)------------------------------
% 14.70/4.97 % (3027047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/4.97 % (3027047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/4.97 % (3027047)CaDiCaL version: 2.1.3
% 14.70/4.97 % (3027047)Termination reason: Instruction limit
% 14.70/4.97 % (3027047)Termination phase: Saturation
% 14.70/4.97 % (3027047)Time elapsed: 0.222 s
% 14.70/4.97 % (3027047)Peak memory usage: 142 MB
% 14.70/4.97 % (3027047)Instructions burned: 285 (million)
% 14.70/4.97 % (3027049)Refutation not found, incomplete strategy
% 14.70/4.97 % (3027049)------------------------------
% 14.70/4.97 % (3027049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/4.97 % (3027049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/4.97 % (3027049)CaDiCaL version: 2.1.3
% 14.70/4.97 % (3027049)Termination reason: Refutation not found, incomplete strategy
% 14.70/4.97 % (3027049)Time elapsed: 0.206 s
% 14.70/4.97 % (3027049)Peak memory usage: 142 MB
% 14.70/4.97 % (3027049)Instructions burned: 251 (million)
% 14.70/4.97 % (3027055)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2003444461:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 14.70/4.97 % (3027056)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1822323638:i=2350_2972 on theBenchmark for (2972ds/2350Mi)
% 14.70/4.97 % (3027058)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1732148309:cts=off:i=113:fsr=off:ss=included:sgt=4_2971 on theBenchmark for (2971ds/113Mi)
% 14.70/4.97 % (3027055)Instruction limit reached!
% 14.70/4.97 % (3027055)------------------------------
% 14.70/4.97 % (3027055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/4.97 % (3027055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/4.97 % (3027055)CaDiCaL version: 2.1.3
% 14.70/4.97 % (3027055)Termination reason: Instruction limit
% 14.70/4.97 % (3027055)Termination phase: SInE selection
% 14.70/4.97 % (3027055)Time elapsed: 0.183 s
% 14.70/4.97 % (3027055)Peak memory usage: 137 MB
% 14.70/4.97 % (3027055)Instructions burned: 295 (million)
% 14.70/4.97 % (3027058)Instruction limit reached!
% 14.70/4.97 % (3027058)------------------------------
% 14.70/4.97 % (3027058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/4.97 % (3027058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/4.97 % (3027058)CaDiCaL version: 2.1.3
% 14.70/4.97 % (3027058)Termination reason: Instruction limit
% 14.70/4.97 % (3027058)Termination phase: SInE selection
% 14.70/4.97 % (3027058)Time elapsed: 0.089 s
% 14.70/4.97 % (3027058)Peak memory usage: 136 MB
% 14.70/4.97 % (3027058)Instructions burned: 114 (million)
% 14.70/4.97 % (3027049)------------------------------
% 14.70/4.97 % (3027049)------------------------------
% 14.70/4.97 % (3027061)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=224899741:i=127:av=off:fsr=off:sup=off_2969 on theBenchmark for (2969ds/127Mi)
% 14.70/4.97 % (3027062)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3323067780:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2969 on theBenchmark for (2969ds/114Mi)
% 14.70/4.97 % (3027063)lrs+10_1_sil=8000:sp=occurrence:random_seed=3853266359:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2968 on theBenchmark for (2968ds/907Mi)
% 14.70/4.97 % (3027061)Instruction limit reached!
% 14.70/4.97 % (3027061)------------------------------
% 14.70/4.97 % (3027061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/4.97 % (3027061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/4.97 % (3027061)CaDiCaL version: 2.1.3
% 14.70/4.97 % (3027061)Termination reason: Instruction limit
% 14.70/4.97 % (3027061)Termination phase: Preprocessing 1
% 14.70/4.97 % (3027061)Time elapsed: 0.097 s
% 14.70/4.97 % (3027061)Peak memory usage: 137 MB
% 14.70/4.97 % (3027061)Instructions burned: 127 (million)
% 14.70/4.97 % (3027062)Instruction limit reached!
% 14.70/4.97 % (3027062)------------------------------
% 14.70/4.97 % (3027062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/4.97 % (3027062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/4.97 % (3027062)CaDiCaL version: 2.1.3
% 14.70/4.97 % (3027062)Termination reason: Instruction limit
% 14.70/4.97 % (3027062)Termination phase: Property scanning
% 14.70/4.97 % (3027062)Time elapsed: 0.051 s
% 14.70/4.97 % (3027062)Peak memory usage: 136 MB
% 14.70/4.97 % (3027062)Instructions burned: 114 (million)
% 14.70/4.97 % (3027067)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2650055199:i=437:sd=1:aac=none:ss=included_2967 on theBenchmark for (2967ds/437Mi)
% 14.70/4.97 % (3027068)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2378638872:i=5202:ss=axioms:sgt=16_2967 on theBenchmark for (2967ds/5202Mi)
% 14.70/4.97 % (3027067)Refutation not found, incomplete strategy
% 14.70/4.97 % (3027067)------------------------------
% 14.70/4.97 % (3027067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/4.97 % (3027067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/4.97 % (3027067)CaDiCaL version: 2.1.3
% 14.70/4.97 % (3027067)Termination reason: Refutation not found, incomplete strategy
% 14.70/4.97 % (3027067)Time elapsed: 0.233 s
% 14.70/4.97 % (3027067)Peak memory usage: 142 MB
% 14.70/4.97 % (3027067)Instructions burned: 309 (million)
% 14.70/4.97 % (3027035)First to succeed.
% 14.70/4.97 % (3027035)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3027028"
% 14.70/4.97 % (3027063)Instruction limit reached!
% 14.70/4.97 % (3027063)------------------------------
% 14.70/4.97 % (3027063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.70/4.97 % (3027063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.70/4.97 % (3027063)CaDiCaL version: 2.1.3
% 14.70/4.97 % (3027063)Termination reason: Instruction limit
% 14.70/4.97 % (3027063)Termination phase: Property scanning
% 14.70/4.97 % (3027063)Time elapsed: 0.578 s
% 14.70/4.97 % (3027063)Peak memory usage: 154 MB
% 14.70/4.97 % (3027063)Instructions burned: 908 (million)
% 14.70/4.97 % (3027067)------------------------------
% 14.70/4.97 % (3027067)------------------------------
% 14.70/4.97 % (3027071)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=655216201:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2961 on theBenchmark for (2961ds/134Mi)
% 14.70/4.97 % (3027035)Refutation found. Thanks to Tanya!
% 14.70/4.97 % SZS status Theorem for theBenchmark
% 14.70/4.97 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/5.21 % (3027035)------------------------------
% 0.18/5.21 % (3027035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/5.21 % (3027035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/5.21 % (3027035)CaDiCaL version: 2.1.3
% 0.18/5.21 % (3027035)Termination reason: Refutation
% 0.18/5.21 % (3027035)Time elapsed: 1.452 s
% 0.18/5.21 % (3027035)Peak memory usage: 210 MB
% 0.18/5.21 % (3027035)Instructions burned: 2148 (million)
% 0.18/5.21 % (3027035)------------------------------
% 0.18/5.21 % (3027035)------------------------------
% 0.18/5.21 % (3027028)Success in time 4.109 s
% 0.18/5.21 % Vampire exiting
%------------------------------------------------------------------------------