%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT302+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 8.72s 3.02s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 107 ( 15 unt; 5 def)
% Number of atoms : 439 ( 22 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 524 ( 192 ~; 224 |; 79 &)
% ( 14 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 6 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(f8586,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/sandbox2/benchmark/theBenchmark.p',t13_filter_0) ).
fof(f9358,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f9363,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/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f9391,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/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f9438,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_lattice2) ).
fof(f9453,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/sandbox2/benchmark/theBenchmark.p',t78_lattice2) ).
fof(f9463,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f13531,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/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f13600,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/sandbox2/benchmark/theBenchmark.p',t21_filter_2) ).
fof(f13609,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/sandbox2/benchmark/theBenchmark.p',t26_filter_2) ).
fof(f13610,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)],[f13609]) ).
fof(f13634,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,[],[f9363]) ).
fof(f13695,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,[],[f13531]) ).
fof(f13696,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,[],[f13695]) ).
fof(f13820,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,[],[f13600]) ).
fof(f13821,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,[],[f13820]) ).
fof(f13838,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,[],[f13610]) ).
fof(f13839,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,[],[f13838]) ).
fof(f13946,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9438]) ).
fof(f13947,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13946]) ).
fof(f13954,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,[],[f9391]) ).
fof(f13955,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,[],[f13954]) ).
fof(f13967,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9463]) ).
fof(f13970,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,[],[f13634]) ).
fof(f13971,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,[],[f13970]) ).
fof(f13972,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9358]) ).
fof(f13973,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13972]) ).
fof(f14080,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,[],[f9453]) ).
fof(f14081,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,[],[f14080]) ).
fof(f14088,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,[],[f8586]) ).
fof(f14089,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,[],[f14088]) ).
fof(f14175,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,[],[f13696]) ).
fof(f14195,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,[],[f13821]) ).
fof(f14201,plain,
( ~ m2_filter_2(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),sK16)
& v13_lattices(sK16)
& ~ v3_struct_0(sK16)
& v10_lattices(sK16)
& l3_lattices(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X0,sK16)],[f13839]) ).
fof(f14234,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,[],[f13947]) ).
fof(f14309,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,[],[f14175]) ).
fof(f14412,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,[],[f14195]) ).
fof(f14449,plain,
l3_lattices(sK16),
inference(cnf_transformation,[],[f14201]) ).
fof(f14450,plain,
v10_lattices(sK16),
inference(cnf_transformation,[],[f14201]) ).
fof(f14451,plain,
~ v3_struct_0(sK16),
inference(cnf_transformation,[],[f14201]) ).
fof(f14452,plain,
v13_lattices(sK16),
inference(cnf_transformation,[],[f14201]) ).
fof(f14453,plain,
~ m2_filter_2(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),sK16),
inference(cnf_transformation,[],[f14201]) ).
fof(f14563,plain,
! [X0] :
( v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14234]) ).
fof(f14571,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13955]) ).
fof(f14591,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13967]) ).
fof(f14594,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13971]) ).
fof(f14603,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13973]) ).
fof(f14739,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,[],[f14081]) ).
fof(f14745,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,[],[f14089]) ).
fof(f15029,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,[],[f14745]) ).
fof(f15044,definition,
( spl108_1
<=> v3_struct_0(sK16) ),
introduced(definition,[new_symbols(definition,[spl108_1])],[avatar_definition]) ).
fof(f15046,plain,
( ~ v3_struct_0(sK16)
| spl108_1 ),
inference(avatar_component_clause,[],[f15044]) ).
fof(f15047,plain,
~ spl108_1,
inference(avatar_split_clause,[],[f14451,f15044]) ).
fof(f15049,definition,
( spl108_2
<=> l3_lattices(sK16) ),
introduced(definition,[new_symbols(definition,[spl108_2])],[avatar_definition]) ).
fof(f15051,plain,
( l3_lattices(sK16)
| ~ spl108_2 ),
inference(avatar_component_clause,[],[f15049]) ).
fof(f15052,plain,
spl108_2,
inference(avatar_split_clause,[],[f14449,f15049]) ).
fof(f15241,plain,
( v14_lattices(k1_lattice2(sK16))
| ~ v13_lattices(sK16)
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl108_1 ),
inference(resolution,[],[f15046,f14563]) ).
fof(f15245,plain,
( u1_struct_0(sK16) = u1_struct_0(k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl108_1 ),
inference(resolution,[],[f15046,f14571]) ).
fof(f15269,plain,
( v10_lattices(k1_lattice2(sK16))
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl108_1 ),
inference(resolution,[],[f15046,f14594]) ).
fof(f15278,plain,
( ~ v3_struct_0(k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl108_1 ),
inference(resolution,[],[f15046,f14603]) ).
fof(f15338,plain,
( k5_lattices(sK16) = k6_lattices(k1_lattice2(sK16))
| ~ v10_lattices(sK16)
| ~ v13_lattices(sK16)
| ~ l3_lattices(sK16)
| spl108_1 ),
inference(resolution,[],[f15046,f14739]) ).
fof(f15720,plain,
( k5_lattices(sK16) = k6_lattices(k1_lattice2(sK16))
| ~ v13_lattices(sK16)
| ~ l3_lattices(sK16)
| spl108_1 ),
inference(forward_subsumption_resolution,[],[f15338,f14450]) ).
fof(f15767,plain,
( ~ v3_struct_0(k1_lattice2(sK16))
| spl108_1
| ~ spl108_2 ),
inference(forward_subsumption_resolution,[],[f15278,f15051]) ).
fof(f15774,plain,
( v10_lattices(k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl108_1 ),
inference(forward_subsumption_resolution,[],[f15269,f14450]) ).
fof(f15798,plain,
( u1_struct_0(sK16) = u1_struct_0(k1_lattice2(sK16))
| spl108_1
| ~ spl108_2 ),
inference(forward_subsumption_resolution,[],[f15245,f15051]) ).
fof(f15801,plain,
( v14_lattices(k1_lattice2(sK16))
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl108_1 ),
inference(forward_subsumption_resolution,[],[f15241,f14452]) ).
fof(f16140,plain,
( k5_lattices(sK16) = k6_lattices(k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl108_1 ),
inference(forward_subsumption_resolution,[],[f15720,f14452]) ).
fof(f16163,plain,
( v10_lattices(k1_lattice2(sK16))
| spl108_1
| ~ spl108_2 ),
inference(forward_subsumption_resolution,[],[f15774,f15051]) ).
fof(f16186,plain,
( v14_lattices(k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl108_1 ),
inference(forward_subsumption_resolution,[],[f15801,f14450]) ).
fof(f16409,plain,
( k5_lattices(sK16) = k6_lattices(k1_lattice2(sK16))
| spl108_1
| ~ spl108_2 ),
inference(forward_subsumption_resolution,[],[f16140,f15051]) ).
fof(f16414,plain,
( v14_lattices(k1_lattice2(sK16))
| spl108_1
| ~ spl108_2 ),
inference(forward_subsumption_resolution,[],[f16186,f15051]) ).
fof(f16507,definition,
( spl108_3
<=> m2_filter_2(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),sK16) ),
introduced(definition,[new_symbols(definition,[spl108_3])],[avatar_definition]) ).
fof(f16509,plain,
( ~ m2_filter_2(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),sK16)
| spl108_3 ),
inference(avatar_component_clause,[],[f16507]) ).
fof(f16510,plain,
~ spl108_3,
inference(avatar_split_clause,[],[f14453,f16507]) ).
fof(f16522,plain,
( ~ m1_filter_2(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),k1_lattice2(sK16))
| v3_struct_0(sK16)
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl108_3 ),
inference(resolution,[],[f16509,f14412]) ).
fof(f16588,plain,
( ~ m1_filter_2(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),k1_lattice2(sK16))
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl108_1
| spl108_3 ),
inference(forward_subsumption_resolution,[],[f16522,f15046]) ).
fof(f16632,plain,
( ~ m1_filter_2(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),k1_lattice2(sK16))
| ~ l3_lattices(sK16)
| spl108_1
| spl108_3 ),
inference(forward_subsumption_resolution,[],[f16588,f14450]) ).
fof(f16676,plain,
( ~ m1_filter_2(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),k1_lattice2(sK16))
| spl108_1
| ~ spl108_2
| spl108_3 ),
inference(forward_subsumption_resolution,[],[f16632,f15051]) ).
fof(f17481,plain,
( l3_lattices(k1_lattice2(sK16))
| ~ spl108_2 ),
inference(resolution,[],[f15051,f14591]) ).
fof(f17859,definition,
( spl108_6
<=> m1_filter_2(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),k1_lattice2(sK16)) ),
introduced(definition,[new_symbols(definition,[spl108_6])],[avatar_definition]) ).
fof(f17861,plain,
( ~ m1_filter_2(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),k1_lattice2(sK16))
| spl108_6 ),
inference(avatar_component_clause,[],[f17859]) ).
fof(f17862,plain,
( ~ spl108_6
| spl108_1
| ~ spl108_2
| spl108_3 ),
inference(avatar_split_clause,[],[f16676,f16507,f15049,f15044,f17859]) ).
fof(f17918,plain,
( ~ m1_filter_0(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),k1_lattice2(sK16))
| v3_struct_0(k1_lattice2(sK16))
| ~ v10_lattices(k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16))
| spl108_6 ),
inference(resolution,[],[f17861,f14309]) ).
fof(f17938,plain,
( ~ m1_filter_0(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),k1_lattice2(sK16))
| ~ v10_lattices(k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16))
| spl108_1
| ~ spl108_2
| spl108_6 ),
inference(forward_subsumption_resolution,[],[f17918,f15767]) ).
fof(f17949,plain,
( ~ m1_filter_0(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16))
| spl108_1
| ~ spl108_2
| spl108_6 ),
inference(forward_subsumption_resolution,[],[f17938,f16163]) ).
fof(f17958,plain,
( ~ m1_filter_0(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),k1_lattice2(sK16))
| spl108_1
| ~ spl108_2
| spl108_6 ),
inference(forward_subsumption_resolution,[],[f17949,f17481]) ).
fof(f18086,definition,
( spl108_11
<=> k5_lattices(sK16) = k6_lattices(k1_lattice2(sK16)) ),
introduced(definition,[new_symbols(definition,[spl108_11])],[avatar_definition]) ).
fof(f18088,plain,
( k5_lattices(sK16) = k6_lattices(k1_lattice2(sK16))
| ~ spl108_11 ),
inference(avatar_component_clause,[],[f18086]) ).
fof(f18089,plain,
( spl108_11
| spl108_1
| ~ spl108_2 ),
inference(avatar_split_clause,[],[f16409,f15049,f15044,f18086]) ).
fof(f18108,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK16)),k5_lattices(sK16)),k1_lattice2(sK16))
| v3_struct_0(k1_lattice2(sK16))
| ~ v10_lattices(k1_lattice2(sK16))
| ~ v14_lattices(k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16))
| ~ spl108_11 ),
inference(superposition,[],[f15029,f18088]) ).
fof(f18111,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK16)),k5_lattices(sK16)),k1_lattice2(sK16))
| ~ v10_lattices(k1_lattice2(sK16))
| ~ v14_lattices(k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16))
| spl108_1
| ~ spl108_2
| ~ spl108_11 ),
inference(forward_subsumption_resolution,[],[f18108,f15767]) ).
fof(f18131,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK16)),k5_lattices(sK16)),k1_lattice2(sK16))
| ~ v14_lattices(k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16))
| spl108_1
| ~ spl108_2
| ~ spl108_11 ),
inference(forward_subsumption_resolution,[],[f18111,f16163]) ).
fof(f18151,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK16)),k5_lattices(sK16)),k1_lattice2(sK16))
| ~ l3_lattices(k1_lattice2(sK16))
| spl108_1
| ~ spl108_2
| ~ spl108_11 ),
inference(forward_subsumption_resolution,[],[f18131,f16414]) ).
fof(f18169,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK16)),k5_lattices(sK16)),k1_lattice2(sK16))
| spl108_1
| ~ spl108_2
| ~ spl108_11 ),
inference(forward_subsumption_resolution,[],[f18151,f17481]) ).
fof(f18185,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(sK16),k5_lattices(sK16)),k1_lattice2(sK16))
| spl108_1
| ~ spl108_2
| ~ spl108_11 ),
inference(forward_demodulation,[],[f18169,f15798]) ).
fof(f18199,plain,
( $false
| spl108_1
| ~ spl108_2
| spl108_6
| ~ spl108_11 ),
inference(forward_subsumption_resolution,[],[f18185,f17958]) ).
fof(f18200,plain,
( spl108_1
| ~ spl108_2
| spl108_6
| ~ spl108_11 ),
inference(avatar_contradiction_clause,[],[f18199]) ).
cnf(s1,plain,
~ spl108_1,
inference(sat_conversion,[],[f15047]) ).
cnf(s2,plain,
spl108_2,
inference(sat_conversion,[],[f15052]) ).
cnf(s3,plain,
~ spl108_3,
inference(sat_conversion,[],[f16510]) ).
cnf(s6,plain,
( spl108_1
| ~ spl108_2
| spl108_3
| ~ spl108_6 ),
inference(sat_conversion,[],[f17862]) ).
cnf(s9,plain,
( spl108_1
| ~ spl108_2
| spl108_11 ),
inference(sat_conversion,[],[f18089]) ).
cnf(s10,plain,
( spl108_1
| ~ spl108_2
| spl108_6
| ~ spl108_11 ),
inference(sat_conversion,[],[f18200]) ).
cnf(s11,plain,
spl108_11,
inference(rat,[],[s9,s2,s1]) ).
cnf(s13,plain,
~ spl108_6,
inference(rat,[],[s6,s2,s3,s1]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s10,s1,s2,s11,s13]) ).
fof(f18215,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT302+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:25:26 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.72/3.01 % (2408177)Detected formulas, will run a generic FOF schedule.
% 8.72/3.01 % (2408186)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1931321933:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 8.72/3.01 % (2408188)dis-21_1_sil=8000:lcm=predicate:random_seed=446076085:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 8.72/3.01 % (2408182)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=181825798:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 8.72/3.01 % (2408184)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=3888045686:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 8.72/3.01 % (2408183)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=1700373688:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 8.72/3.01 % (2408187)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3412509898:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 8.72/3.01 % (2408185)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4020456330:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 8.72/3.01 % (2408186)Instruction limit reached!
% 8.72/3.01 % (2408186)------------------------------
% 8.72/3.01 % (2408186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.01 % (2408186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.01 % (2408186)CaDiCaL version: 2.1.3
% 8.72/3.01 % (2408186)Termination reason: Instruction limit
% 8.72/3.01 % (2408186)Termination phase: Equality resolution with deletion
% 8.72/3.01 % (2408186)Time elapsed: 0.055 s
% 8.72/3.01 % (2408186)Peak memory usage: 105 MB
% 8.72/3.01 % (2408186)Instructions burned: 121 (million)
% 8.72/3.01 % (2408187)Instruction limit reached!
% 8.72/3.01 % (2408187)------------------------------
% 8.72/3.01 % (2408187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.01 % (2408187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.01 % (2408187)CaDiCaL version: 2.1.3
% 8.72/3.01 % (2408187)Termination reason: Instruction limit
% 8.72/3.01 % (2408187)Termination phase: Property scanning
% 8.72/3.01 % (2408187)Time elapsed: 0.060 s
% 8.72/3.01 % (2408187)Peak memory usage: 102 MB
% 8.72/3.01 % (2408187)Instructions burned: 141 (million)
% 8.72/3.01 % (2408185)Refutation not found, incomplete strategy
% 8.72/3.01 % (2408185)------------------------------
% 8.72/3.01 % (2408185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.01 % (2408185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.01 % (2408185)CaDiCaL version: 2.1.3
% 8.72/3.01 % (2408185)Termination reason: Refutation not found, incomplete strategy
% 8.72/3.01 % (2408185)Time elapsed: 0.070 s
% 8.72/3.01 % (2408185)Peak memory usage: 107 MB
% 8.72/3.01 % (2408185)Instructions burned: 84 (million)
% 8.72/3.01 % (2408188)Instruction limit reached!
% 8.72/3.01 % (2408188)------------------------------
% 8.72/3.01 % (2408188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.01 % (2408188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.01 % (2408188)CaDiCaL version: 2.1.3
% 8.72/3.01 % (2408188)Termination reason: Instruction limit
% 8.72/3.01 % (2408188)Termination phase: Preprocessing 1
% 8.72/3.01 % (2408188)Time elapsed: 0.096 s
% 8.72/3.01 % (2408188)Peak memory usage: 103 MB
% 8.72/3.01 % (2408188)Instructions burned: 129 (million)
% 8.72/3.01 % (2408196)lrs+10_1_sil=8000:sp=occurrence:random_seed=1659951549:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 8.72/3.01 % (2408197)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1447108507:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 8.72/3.01 % (2408196)Instruction limit reached!
% 8.72/3.01 % (2408196)------------------------------
% 8.72/3.01 % (2408196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.01 % (2408196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.01 % (2408196)CaDiCaL version: 2.1.3
% 8.72/3.01 % (2408196)Termination reason: Instruction limit
% 8.72/3.01 % (2408196)Termination phase: Saturation
% 8.72/3.01 % (2408196)Time elapsed: 0.114 s
% 8.72/3.01 % (2408196)Peak memory usage: 110 MB
% 8.72/3.01 % (2408196)Instructions burned: 288 (million)
% 8.72/3.01 % (2408198)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1818649671:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 8.72/3.01 % (2408197)Instruction limit reached!
% 8.72/3.01 % (2408197)------------------------------
% 8.72/3.01 % (2408197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.01 % (2408197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.01 % (2408197)CaDiCaL version: 2.1.3
% 8.72/3.01 % (2408197)Termination reason: Instruction limit
% 8.72/3.01 % (2408197)Termination phase: Property scanning
% 8.72/3.01 % (2408197)Time elapsed: 0.069 s
% 8.72/3.01 % (2408197)Peak memory usage: 102 MB
% 8.72/3.01 % (2408197)Instructions burned: 159 (million)
% 8.72/3.01 % (2408201)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=3931985148:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 8.72/3.01 % (2408185)------------------------------
% 8.72/3.01 % (2408185)------------------------------
% 8.72/3.01 % (2408198)Refutation not found, incomplete strategy
% 8.72/3.01 % (2408198)------------------------------
% 8.72/3.01 % (2408198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.01 % (2408198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.01 % (2408198)CaDiCaL version: 2.1.3
% 8.72/3.01 % (2408198)Termination reason: Refutation not found, incomplete strategy
% 8.72/3.01 % (2408198)Time elapsed: 0.079 s
% 8.72/3.01 % (2408198)Peak memory usage: 107 MB
% 8.72/3.01 % (2408198)Instructions burned: 87 (million)
% 8.72/3.01 % (2408201)Instruction limit reached!
% 8.72/3.01 % (2408201)------------------------------
% 8.72/3.01 % (2408201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.01 % (2408201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.01 % (2408201)CaDiCaL version: 2.1.3
% 8.72/3.01 % (2408201)Termination reason: Instruction limit
% 8.72/3.01 % (2408201)Termination phase: SInE selection
% 8.72/3.01 % (2408201)Time elapsed: 0.071 s
% 8.72/3.01 % (2408201)Peak memory usage: 103 MB
% 8.72/3.01 % (2408201)Instructions burned: 248 (million)
% 8.72/3.01 % (2408203)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2899797210:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 8.72/3.01 % (2408205)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4035624378:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 8.72/3.01 % (2408206)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=248568300:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 8.72/3.01 % (2408206)Instruction limit reached!
% 8.72/3.01 % (2408206)------------------------------
% 8.72/3.01 % (2408206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.01 % (2408206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.01 % (2408206)CaDiCaL version: 2.1.3
% 8.72/3.01 % (2408206)Termination reason: Instruction limit
% 8.72/3.01 % (2408206)Termination phase: Preprocessing 3
% 8.72/3.01 % (2408206)Time elapsed: 0.052 s
% 8.72/3.01 % (2408206)Peak memory usage: 105 MB
% 8.72/3.01 % (2408206)Instructions burned: 115 (million)
% 8.72/3.01 % (2408198)------------------------------
% 8.72/3.01 % (2408198)------------------------------
% 8.72/3.01 % (2408210)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1223310902:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 8.72/3.01 % (2408203)Instruction limit reached!
% 8.72/3.01 % (2408203)------------------------------
% 8.72/3.01 % (2408203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.01 % (2408203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.01 % (2408203)CaDiCaL version: 2.1.3
% 8.72/3.01 % (2408203)Termination reason: Instruction limit
% 8.72/3.01 % (2408203)Termination phase: Property scanning
% 8.72/3.01 % (2408203)Time elapsed: 0.194 s
% 8.72/3.01 % (2408203)Peak memory usage: 109 MB
% 8.72/3.01 % (2408203)Instructions burned: 295 (million)
% 8.72/3.01 % (2408210)Instruction limit reached!
% 8.72/3.01 % (2408210)------------------------------
% 8.72/3.01 % (2408210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.01 % (2408210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.01 % (2408210)CaDiCaL version: 2.1.3
% 8.72/3.01 % (2408210)Termination reason: Instruction limit
% 8.72/3.01 % (2408210)Termination phase: Preprocessing 2
% 8.72/3.01 % (2408210)Time elapsed: 0.061 s
% 8.72/3.01 % (2408210)Peak memory usage: 106 MB
% 8.72/3.01 % (2408210)Instructions burned: 127 (million)
% 8.72/3.01 % (2408211)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3725148222:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 8.72/3.01 % (2408213)lrs+10_1_sil=8000:sp=occurrence:random_seed=1922681864:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 8.72/3.01 % (2408214)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=226977930:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 8.72/3.01 % (2408211)Instruction limit reached!
% 8.72/3.01 % (2408211)------------------------------
% 8.72/3.01 % (2408211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.01 % (2408211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.01 % (2408211)CaDiCaL version: 2.1.3
% 8.72/3.01 % (2408211)Termination reason: Instruction limit
% 8.72/3.01 % (2408211)Termination phase: Property scanning
% 8.72/3.01 % (2408211)Time elapsed: 0.051 s
% 8.72/3.01 % (2408211)Peak memory usage: 102 MB
% 8.72/3.01 % (2408211)Instructions burned: 115 (million)
% 8.72/3.01 % (2408214)Refutation not found, incomplete strategy
% 8.72/3.01 % (2408214)------------------------------
% 8.72/3.01 % (2408214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.01 % (2408214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.01 % (2408214)CaDiCaL version: 2.1.3
% 8.72/3.01 % (2408214)Termination reason: Refutation not found, incomplete strategy
% 8.72/3.01 % (2408214)Time elapsed: 0.051 s
% 8.72/3.01 % (2408214)Peak memory usage: 108 MB
% 8.72/3.01 % (2408214)Instructions burned: 118 (million)
% 8.72/3.01 % (2408218)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=485605214:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 8.72/3.02 % (2408214)------------------------------
% 8.72/3.02 % (2408214)------------------------------
% 8.72/3.02 % (2408220)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=643330752:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 8.72/3.02 % (2408184)First to succeed.
% 8.72/3.02 % (2408184)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2408177"
% 8.72/3.02 % (2408220)Instruction limit reached!
% 8.72/3.02 % (2408220)------------------------------
% 8.72/3.02 % (2408220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.02 % (2408220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.02 % (2408220)CaDiCaL version: 2.1.3
% 8.72/3.02 % (2408220)Termination reason: Instruction limit
% 8.72/3.02 % (2408220)Termination phase: Property scanning
% 8.72/3.02 % (2408220)Time elapsed: 0.057 s
% 8.72/3.02 % (2408220)Peak memory usage: 106 MB
% 8.72/3.02 % (2408220)Instructions burned: 136 (million)
% 8.72/3.02 % (2408222)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3127343850:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 8.72/3.02 % (2408184)Refutation found. Thanks to Tanya!
% 8.72/3.02 % SZS status Theorem for theBenchmark
% 8.72/3.02 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/3.20 % (2408184)------------------------------
% 0.15/3.20 % (2408184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/3.20 % (2408184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/3.20 % (2408184)CaDiCaL version: 2.1.3
% 0.15/3.20 % (2408184)Termination reason: Refutation
% 0.15/3.20 % (2408184)Time elapsed: 1.064 s
% 0.15/3.20 % (2408184)Peak memory usage: 161 MB
% 0.15/3.20 % (2408184)Instructions burned: 1636 (million)
% 0.15/3.20 % (2408184)------------------------------
% 0.15/3.20 % (2408184)------------------------------
% 0.15/3.20 % (2408177)Success in time 2.16 s
% 0.15/3.20 % Vampire exiting
%------------------------------------------------------------------------------