%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT301+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 : n017.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 11:46:41 AM UTC 2026
% Result : Theorem 15.45s 5.01s
% Output : Refutation 16.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 121 ( 23 unt; 9 def)
% Number of atoms : 496 ( 10 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 611 ( 236 ~; 265 |; 75 &)
% ( 18 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 10 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 72 ( 0 sgn 68 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21512,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0) )
=> r2_hidden(k6_lattices(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_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(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(f34683,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( v13_lattices(X0)
=> r2_hidden(k5_lattices(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_filter_2) ).
fof(f34684,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( v13_lattices(X0)
=> r2_hidden(k5_lattices(X0),X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f34683]) ).
fof(f34717,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(f34729,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(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(flattening,[],[f34729]) ).
fof(f34864,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(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(flattening,[],[f34864]) ).
fof(f34880,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k5_lattices(X0),X1)
& v13_lattices(X0)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f34684]) ).
fof(f34881,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k5_lattices(X0),X1)
& v13_lattices(X0)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f34880]) ).
fof(f34986,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22852]) ).
fof(f34993,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(f34994,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34993]) ).
fof(f35006,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,[],[f34717]) ).
fof(f35007,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,[],[f35006]) ).
fof(f35008,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(f35009,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35008]) ).
fof(f35225,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(f35226,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,[],[f35225]) ).
fof(f35239,plain,
! [X0] :
( ! [X1] :
( r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21512]) ).
fof(f35240,plain,
! [X0] :
( ! [X1] :
( r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35239]) ).
fof(f35328,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,[],[f34730]) ).
fof(f35348,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,[],[f34865]) ).
fof(f35354,plain,
( ~ r2_hidden(k5_lattices(sK17),sK18)
& v13_lattices(sK17)
& m2_filter_2(sK18,sK17)
& ~ v3_struct_0(sK17)
& v10_lattices(sK17)
& l3_lattices(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X0,sK17),skolemize(X1,sK18)],[f34881]) ).
fof(f35400,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,[],[f34994]) ).
fof(f35553,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,[],[f35328]) ).
fof(f35666,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,[],[f35348]) ).
fof(f35703,plain,
l3_lattices(sK17),
inference(cnf_transformation,[],[f35354]) ).
fof(f35704,plain,
v10_lattices(sK17),
inference(cnf_transformation,[],[f35354]) ).
fof(f35705,plain,
~ v3_struct_0(sK17),
inference(cnf_transformation,[],[f35354]) ).
fof(f35706,plain,
m2_filter_2(sK18,sK17),
inference(cnf_transformation,[],[f35354]) ).
fof(f35707,plain,
v13_lattices(sK17),
inference(cnf_transformation,[],[f35354]) ).
fof(f35708,plain,
~ r2_hidden(k5_lattices(sK17),sK18),
inference(cnf_transformation,[],[f35354]) ).
fof(f35847,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34986]) ).
fof(f35861,plain,
! [X0] :
( v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35400]) ).
fof(f35872,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35007]) ).
fof(f35881,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35009]) ).
fof(f36170,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,[],[f35226]) ).
fof(f36179,plain,
! [X0,X1] :
( r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35240]) ).
fof(f36494,plain,
! [X0,X1] :
( r2_hidden(k6_lattices(X0),X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(duplicate_literal_removal,[],[f36179]) ).
fof(f36508,definition,
( spl162_1
<=> r2_hidden(k5_lattices(sK17),sK18) ),
introduced(definition,[new_symbols(definition,[spl162_1])],[avatar_definition]) ).
fof(f36510,plain,
( ~ r2_hidden(k5_lattices(sK17),sK18)
| spl162_1 ),
inference(avatar_component_clause,[],[f36508]) ).
fof(f36511,plain,
~ spl162_1,
inference(avatar_split_clause,[],[f35708,f36508]) ).
fof(f36572,definition,
( spl162_2
<=> v3_struct_0(sK17) ),
introduced(definition,[new_symbols(definition,[spl162_2])],[avatar_definition]) ).
fof(f36574,plain,
( ~ v3_struct_0(sK17)
| spl162_2 ),
inference(avatar_component_clause,[],[f36572]) ).
fof(f36575,plain,
~ spl162_2,
inference(avatar_split_clause,[],[f35705,f36572]) ).
fof(f36577,definition,
( spl162_3
<=> v10_lattices(sK17) ),
introduced(definition,[new_symbols(definition,[spl162_3])],[avatar_definition]) ).
fof(f36579,plain,
( v10_lattices(sK17)
| ~ spl162_3 ),
inference(avatar_component_clause,[],[f36577]) ).
fof(f36580,plain,
spl162_3,
inference(avatar_split_clause,[],[f35704,f36577]) ).
fof(f36582,definition,
( spl162_4
<=> l3_lattices(sK17) ),
introduced(definition,[new_symbols(definition,[spl162_4])],[avatar_definition]) ).
fof(f36584,plain,
( l3_lattices(sK17)
| ~ spl162_4 ),
inference(avatar_component_clause,[],[f36582]) ).
fof(f36585,plain,
spl162_4,
inference(avatar_split_clause,[],[f35703,f36582]) ).
fof(f36807,plain,
( v14_lattices(k1_lattice2(sK17))
| ~ v13_lattices(sK17)
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl162_2 ),
inference(resolution,[],[f36574,f35861]) ).
fof(f36813,plain,
( v10_lattices(k1_lattice2(sK17))
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl162_2 ),
inference(resolution,[],[f36574,f35872]) ).
fof(f36822,plain,
( ~ v3_struct_0(k1_lattice2(sK17))
| ~ l3_lattices(sK17)
| spl162_2 ),
inference(resolution,[],[f36574,f35881]) ).
fof(f36901,plain,
( k5_lattices(sK17) = k6_lattices(k1_lattice2(sK17))
| ~ v10_lattices(sK17)
| ~ v13_lattices(sK17)
| ~ l3_lattices(sK17)
| spl162_2 ),
inference(resolution,[],[f36574,f36170]) ).
fof(f37235,plain,
( k5_lattices(sK17) = k6_lattices(k1_lattice2(sK17))
| ~ v13_lattices(sK17)
| ~ l3_lattices(sK17)
| spl162_2
| ~ spl162_3 ),
inference(forward_subsumption_resolution,[],[f36901,f36579]) ).
fof(f37313,plain,
( ~ v3_struct_0(k1_lattice2(sK17))
| spl162_2
| ~ spl162_4 ),
inference(forward_subsumption_resolution,[],[f36822,f36584]) ).
fof(f37320,plain,
( v10_lattices(k1_lattice2(sK17))
| ~ l3_lattices(sK17)
| spl162_2
| ~ spl162_3 ),
inference(forward_subsumption_resolution,[],[f36813,f36579]) ).
fof(f37325,plain,
( v14_lattices(k1_lattice2(sK17))
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl162_2 ),
inference(forward_subsumption_resolution,[],[f36807,f35707]) ).
fof(f37674,plain,
( k5_lattices(sK17) = k6_lattices(k1_lattice2(sK17))
| ~ l3_lattices(sK17)
| spl162_2
| ~ spl162_3 ),
inference(forward_subsumption_resolution,[],[f37235,f35707]) ).
fof(f37728,plain,
( v10_lattices(k1_lattice2(sK17))
| spl162_2
| ~ spl162_3
| ~ spl162_4 ),
inference(forward_subsumption_resolution,[],[f37320,f36584]) ).
fof(f37729,plain,
( v14_lattices(k1_lattice2(sK17))
| ~ l3_lattices(sK17)
| spl162_2
| ~ spl162_3 ),
inference(forward_subsumption_resolution,[],[f37325,f36579]) ).
fof(f37970,plain,
( k5_lattices(sK17) = k6_lattices(k1_lattice2(sK17))
| spl162_2
| ~ spl162_3
| ~ spl162_4 ),
inference(forward_subsumption_resolution,[],[f37674,f36584]) ).
fof(f37977,plain,
( v14_lattices(k1_lattice2(sK17))
| spl162_2
| ~ spl162_3
| ~ spl162_4 ),
inference(forward_subsumption_resolution,[],[f37729,f36584]) ).
fof(f38090,definition,
( spl162_6
<=> m2_filter_2(sK18,sK17) ),
introduced(definition,[new_symbols(definition,[spl162_6])],[avatar_definition]) ).
fof(f38092,plain,
( m2_filter_2(sK18,sK17)
| ~ spl162_6 ),
inference(avatar_component_clause,[],[f38090]) ).
fof(f38093,plain,
spl162_6,
inference(avatar_split_clause,[],[f35706,f38090]) ).
fof(f38106,plain,
( m1_filter_2(sK18,k1_lattice2(sK17))
| v3_struct_0(sK17)
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| ~ spl162_6 ),
inference(resolution,[],[f38092,f35666]) ).
fof(f38119,plain,
( m1_filter_2(sK18,k1_lattice2(sK17))
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl162_2
| ~ spl162_6 ),
inference(forward_subsumption_resolution,[],[f38106,f36574]) ).
fof(f38137,plain,
( m1_filter_2(sK18,k1_lattice2(sK17))
| ~ l3_lattices(sK17)
| spl162_2
| ~ spl162_3
| ~ spl162_6 ),
inference(forward_subsumption_resolution,[],[f38119,f36579]) ).
fof(f38155,plain,
( m1_filter_2(sK18,k1_lattice2(sK17))
| spl162_2
| ~ spl162_3
| ~ spl162_4
| ~ spl162_6 ),
inference(forward_subsumption_resolution,[],[f38137,f36584]) ).
fof(f38960,plain,
( l3_lattices(k1_lattice2(sK17))
| ~ spl162_4 ),
inference(resolution,[],[f36584,f35847]) ).
fof(f39355,definition,
( spl162_7
<=> m1_filter_2(sK18,k1_lattice2(sK17)) ),
introduced(definition,[new_symbols(definition,[spl162_7])],[avatar_definition]) ).
fof(f39357,plain,
( m1_filter_2(sK18,k1_lattice2(sK17))
| ~ spl162_7 ),
inference(avatar_component_clause,[],[f39355]) ).
fof(f39358,plain,
( spl162_7
| spl162_2
| ~ spl162_3
| ~ spl162_4
| ~ spl162_6 ),
inference(avatar_split_clause,[],[f38155,f38090,f36582,f36577,f36572,f39355]) ).
fof(f39661,definition,
( spl162_10
<=> k5_lattices(sK17) = k6_lattices(k1_lattice2(sK17)) ),
introduced(definition,[new_symbols(definition,[spl162_10])],[avatar_definition]) ).
fof(f39663,plain,
( k5_lattices(sK17) = k6_lattices(k1_lattice2(sK17))
| ~ spl162_10 ),
inference(avatar_component_clause,[],[f39661]) ).
fof(f39664,plain,
( spl162_10
| spl162_2
| ~ spl162_3
| ~ spl162_4 ),
inference(avatar_split_clause,[],[f37970,f36582,f36577,f36572,f39661]) ).
fof(f39689,plain,
( ! [X0] :
( r2_hidden(k5_lattices(sK17),X0)
| v3_struct_0(k1_lattice2(sK17))
| ~ v10_lattices(k1_lattice2(sK17))
| ~ v14_lattices(k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17))
| ~ m1_filter_0(X0,k1_lattice2(sK17)) )
| ~ spl162_10 ),
inference(superposition,[],[f36494,f39663]) ).
fof(f39690,plain,
( ! [X0] :
( r2_hidden(k5_lattices(sK17),X0)
| ~ v10_lattices(k1_lattice2(sK17))
| ~ v14_lattices(k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17))
| ~ m1_filter_0(X0,k1_lattice2(sK17)) )
| spl162_2
| ~ spl162_4
| ~ spl162_10 ),
inference(forward_subsumption_resolution,[],[f39689,f37313]) ).
fof(f39715,plain,
( ! [X0] :
( r2_hidden(k5_lattices(sK17),X0)
| ~ v14_lattices(k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17))
| ~ m1_filter_0(X0,k1_lattice2(sK17)) )
| spl162_2
| ~ spl162_3
| ~ spl162_4
| ~ spl162_10 ),
inference(forward_subsumption_resolution,[],[f39690,f37728]) ).
fof(f39740,plain,
( ! [X0] :
( r2_hidden(k5_lattices(sK17),X0)
| ~ l3_lattices(k1_lattice2(sK17))
| ~ m1_filter_0(X0,k1_lattice2(sK17)) )
| spl162_2
| ~ spl162_3
| ~ spl162_4
| ~ spl162_10 ),
inference(forward_subsumption_resolution,[],[f39715,f37977]) ).
fof(f39763,plain,
( ! [X0] :
( r2_hidden(k5_lattices(sK17),X0)
| ~ m1_filter_0(X0,k1_lattice2(sK17)) )
| spl162_2
| ~ spl162_3
| ~ spl162_4
| ~ spl162_10 ),
inference(forward_subsumption_resolution,[],[f39740,f38960]) ).
fof(f39818,definition,
( spl162_11
<=> ! [X0] :
( r2_hidden(k5_lattices(sK17),X0)
| ~ m1_filter_0(X0,k1_lattice2(sK17)) ) ),
introduced(definition,[new_symbols(definition,[spl162_11])],[avatar_definition]) ).
fof(f39819,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK17))
| r2_hidden(k5_lattices(sK17),X0) )
| ~ spl162_11 ),
inference(avatar_component_clause,[],[f39818]) ).
fof(f39820,plain,
( spl162_11
| spl162_2
| ~ spl162_3
| ~ spl162_4
| ~ spl162_10 ),
inference(avatar_split_clause,[],[f39763,f39661,f36582,f36577,f36572,f39818]) ).
fof(f39821,plain,
( ! [X0] :
( r2_hidden(k5_lattices(sK17),X0)
| ~ m1_filter_2(X0,k1_lattice2(sK17))
| v3_struct_0(k1_lattice2(sK17))
| ~ v10_lattices(k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17)) )
| ~ spl162_11 ),
inference(resolution,[],[f39819,f35553]) ).
fof(f39902,plain,
( ! [X0] :
( r2_hidden(k5_lattices(sK17),X0)
| ~ m1_filter_2(X0,k1_lattice2(sK17))
| ~ v10_lattices(k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17)) )
| spl162_2
| ~ spl162_4
| ~ spl162_11 ),
inference(forward_subsumption_resolution,[],[f39821,f37313]) ).
fof(f39943,plain,
( ! [X0] :
( r2_hidden(k5_lattices(sK17),X0)
| ~ m1_filter_2(X0,k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17)) )
| spl162_2
| ~ spl162_3
| ~ spl162_4
| ~ spl162_11 ),
inference(forward_subsumption_resolution,[],[f39902,f37728]) ).
fof(f39982,plain,
( ! [X0] :
( r2_hidden(k5_lattices(sK17),X0)
| ~ m1_filter_2(X0,k1_lattice2(sK17)) )
| spl162_2
| ~ spl162_3
| ~ spl162_4
| ~ spl162_11 ),
inference(forward_subsumption_resolution,[],[f39943,f38960]) ).
fof(f40054,definition,
( spl162_12
<=> ! [X0] :
( r2_hidden(k5_lattices(sK17),X0)
| ~ m1_filter_2(X0,k1_lattice2(sK17)) ) ),
introduced(definition,[new_symbols(definition,[spl162_12])],[avatar_definition]) ).
fof(f40055,plain,
( ! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK17))
| r2_hidden(k5_lattices(sK17),X0) )
| ~ spl162_12 ),
inference(avatar_component_clause,[],[f40054]) ).
fof(f40056,plain,
( spl162_12
| spl162_2
| ~ spl162_3
| ~ spl162_4
| ~ spl162_11 ),
inference(avatar_split_clause,[],[f39982,f39818,f36582,f36577,f36572,f40054]) ).
fof(f40403,plain,
( r2_hidden(k5_lattices(sK17),sK18)
| ~ spl162_7
| ~ spl162_12 ),
inference(resolution,[],[f40055,f39357]) ).
fof(f40408,plain,
( $false
| spl162_1
| ~ spl162_7
| ~ spl162_12 ),
inference(forward_subsumption_resolution,[],[f40403,f36510]) ).
fof(f40409,plain,
( spl162_1
| ~ spl162_7
| ~ spl162_12 ),
inference(avatar_contradiction_clause,[],[f40408]) ).
cnf(s1,plain,
~ spl162_1,
inference(sat_conversion,[],[f36511]) ).
cnf(s2,plain,
~ spl162_2,
inference(sat_conversion,[],[f36575]) ).
cnf(s3,plain,
spl162_3,
inference(sat_conversion,[],[f36580]) ).
cnf(s4,plain,
spl162_4,
inference(sat_conversion,[],[f36585]) ).
cnf(s6,plain,
spl162_6,
inference(sat_conversion,[],[f38093]) ).
cnf(s7,plain,
( spl162_2
| ~ spl162_3
| ~ spl162_4
| ~ spl162_6
| spl162_7 ),
inference(sat_conversion,[],[f39358]) ).
cnf(s10,plain,
( spl162_2
| ~ spl162_3
| ~ spl162_4
| spl162_10 ),
inference(sat_conversion,[],[f39664]) ).
cnf(s11,plain,
( spl162_2
| ~ spl162_3
| ~ spl162_4
| ~ spl162_10
| spl162_11 ),
inference(sat_conversion,[],[f39820]) ).
cnf(s12,plain,
( spl162_2
| ~ spl162_3
| ~ spl162_4
| ~ spl162_11
| spl162_12 ),
inference(sat_conversion,[],[f40056]) ).
cnf(s16,plain,
( spl162_1
| ~ spl162_7
| ~ spl162_12 ),
inference(sat_conversion,[],[f40409]) ).
cnf(s17,plain,
spl162_10,
inference(rat,[],[s10,s3,s4,s2]) ).
cnf(s19,plain,
spl162_7,
inference(rat,[],[s7,s3,s6,s4,s2]) ).
cnf(s20,plain,
spl162_11,
inference(rat,[],[s11,s2,s3,s4,s17]) ).
cnf(s23,plain,
spl162_12,
inference(rat,[],[s12,s2,s3,s4,s20]) ).
cnf(s25,plain,
spl162_1,
inference(rat,[],[s16,s19,s23]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s1,s25]) ).
fof(f40445,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT301+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 14:18:26 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
% 15.45/5.01 % (2614196)Detected formulas, will run a generic FOF schedule.
% 15.45/5.01 % (2614201)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=2487666220:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 15.45/5.01 % (2614202)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=2592710678:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 15.45/5.01 % (2614207)dis-21_1_sil=8000:lcm=predicate:random_seed=2311400464: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)
% 15.45/5.01 % (2614203)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=388083656:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 15.45/5.01 % (2614204)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2552134794:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 15.45/5.01 % (2614205)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1730947176:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 15.45/5.01 % (2614206)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=628210923:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 15.45/5.01 % (2614206)Instruction limit reached!
% 15.45/5.01 % (2614206)------------------------------
% 15.45/5.01 % (2614206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.45/5.01 % (2614206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/5.01 % (2614206)CaDiCaL version: 2.1.3
% 15.45/5.01 % (2614206)Termination reason: Instruction limit
% 15.45/5.01 % (2614206)Termination phase: Property scanning
% 15.45/5.01 % (2614206)Time elapsed: 0.063 s
% 15.45/5.01 % (2614206)Peak memory usage: 136 MB
% 15.45/5.01 % (2614206)Instructions burned: 140 (million)
% 15.45/5.01 % (2614204)Instruction limit reached!
% 15.45/5.01 % (2614204)------------------------------
% 15.45/5.01 % (2614204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.45/5.01 % (2614204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/5.01 % (2614204)CaDiCaL version: 2.1.3
% 15.45/5.01 % (2614204)Termination reason: Instruction limit
% 15.45/5.01 % (2614204)Termination phase: SInE selection
% 15.45/5.01 % (2614204)Time elapsed: 0.082 s
% 15.45/5.01 % (2614204)Peak memory usage: 136 MB
% 15.45/5.01 % (2614204)Instructions burned: 110 (million)
% 15.45/5.01 % (2614205)Instruction limit reached!
% 15.45/5.01 % (2614205)------------------------------
% 15.45/5.01 % (2614205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.45/5.01 % (2614205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/5.01 % (2614205)CaDiCaL version: 2.1.3
% 15.45/5.01 % (2614205)Termination reason: Instruction limit
% 15.45/5.01 % (2614205)Termination phase: SInE selection
% 15.45/5.01 % (2614205)Time elapsed: 0.083 s
% 15.45/5.01 % (2614205)Peak memory usage: 136 MB
% 15.45/5.01 % (2614205)Instructions burned: 119 (million)
% 15.45/5.01 % (2614207)Instruction limit reached!
% 15.45/5.01 % (2614207)------------------------------
% 15.45/5.01 % (2614207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.45/5.01 % (2614207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/5.01 % (2614207)CaDiCaL version: 2.1.3
% 15.45/5.01 % (2614207)Termination reason: Instruction limit
% 15.45/5.01 % (2614207)Termination phase: SInE selection
% 15.45/5.01 % (2614207)Time elapsed: 0.091 s
% 15.45/5.01 % (2614207)Peak memory usage: 136 MB
% 15.45/5.01 % (2614207)Instructions burned: 131 (million)
% 15.45/5.01 % (2614215)lrs+10_1_sil=8000:sp=occurrence:random_seed=1362309547:i=285:sd=3:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/285Mi)
% 15.45/5.01 % (2614216)lrs+10_1_sil=32000:urr=on:br=off:random_seed=473935088:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/157Mi)
% 15.45/5.01 % (2614218)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=3012214479:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 15.45/5.01 % (2614217)lrs+1011_1_sil=32000:sp=occurrence:random_seed=390861050:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 15.45/5.01 % (2614216)Instruction limit reached!
% 15.45/5.01 % (2614216)------------------------------
% 15.45/5.01 % (2614216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.45/5.01 % (2614216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/5.01 % (2614216)CaDiCaL version: 2.1.3
% 15.45/5.01 % (2614216)Termination reason: Instruction limit
% 15.45/5.01 % (2614216)Termination phase: Property scanning
% 15.45/5.01 % (2614216)Time elapsed: 0.069 s
% 15.45/5.01 % (2614216)Peak memory usage: 136 MB
% 15.45/5.01 % (2614216)Instructions burned: 157 (million)
% 15.45/5.01 % (2614218)Instruction limit reached!
% 15.45/5.01 % (2614218)------------------------------
% 15.45/5.01 % (2614218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.45/5.01 % (2614218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/5.01 % (2614218)CaDiCaL version: 2.1.3
% 15.45/5.01 % (2614218)Termination reason: Instruction limit
% 15.45/5.01 % (2614218)Termination phase: Property scanning
% 15.45/5.01 % (2614218)Time elapsed: 0.109 s
% 15.45/5.01 % (2614218)Peak memory usage: 136 MB
% 15.45/5.01 % (2614218)Instructions burned: 250 (million)
% 15.45/5.01 % (2614223)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=776846428:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 15.45/5.01 % (2614215)Instruction limit reached!
% 15.45/5.01 % (2614215)------------------------------
% 15.45/5.01 % (2614215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.45/5.01 % (2614215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/5.01 % (2614215)CaDiCaL version: 2.1.3
% 15.45/5.01 % (2614215)Termination reason: Instruction limit
% 15.45/5.01 % (2614215)Termination phase: Saturation
% 15.45/5.01 % (2614215)Time elapsed: 0.225 s
% 15.45/5.01 % (2614215)Peak memory usage: 142 MB
% 15.45/5.01 % (2614215)Instructions burned: 287 (million)
% 15.45/5.01 % (2614224)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4241228567:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 15.45/5.01 % (2614217)Instruction limit reached!
% 15.45/5.01 % (2614217)------------------------------
% 15.45/5.01 % (2614217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.45/5.01 % (2614217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/5.01 % (2614217)CaDiCaL version: 2.1.3
% 15.45/5.01 % (2614217)Termination reason: Instruction limit
% 15.45/5.01 % (2614217)Termination phase: Saturation
% 15.45/5.01 % (2614217)Time elapsed: 0.263 s
% 15.45/5.01 % (2614217)Peak memory usage: 142 MB
% 15.45/5.01 % (2614217)Instructions burned: 325 (million)
% 15.45/5.01 % (2614226)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1044652722:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 15.45/5.01 % (2614223)Instruction limit reached!
% 15.45/5.01 % (2614223)------------------------------
% 15.45/5.01 % (2614223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.45/5.01 % (2614223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/5.01 % (2614223)CaDiCaL version: 2.1.3
% 15.45/5.01 % (2614223)Termination reason: Instruction limit
% 15.45/5.01 % (2614223)Termination phase: SInE selection
% 15.45/5.01 % (2614223)Time elapsed: 0.183 s
% 15.45/5.01 % (2614223)Peak memory usage: 137 MB
% 15.45/5.01 % (2614223)Instructions burned: 294 (million)
% 15.45/5.01 % (2614228)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2045121161:i=127:av=off:fsr=off:sup=off_2971 on theBenchmark for (2971ds/127Mi)
% 15.45/5.01 % (2614226)Instruction limit reached!
% 15.45/5.01 % (2614226)------------------------------
% 15.45/5.01 % (2614226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.45/5.01 % (2614226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/5.01 % (2614226)CaDiCaL version: 2.1.3
% 15.45/5.01 % (2614226)Termination reason: Instruction limit
% 15.45/5.01 % (2614226)Termination phase: SInE selection
% 15.45/5.01 % (2614226)Time elapsed: 0.091 s
% 15.45/5.01 % (2614226)Peak memory usage: 136 MB
% 15.45/5.01 % (2614226)Instructions burned: 114 (million)
% 15.45/5.01 % (2614228)Instruction limit reached!
% 15.45/5.01 % (2614228)------------------------------
% 15.45/5.01 % (2614228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.45/5.01 % (2614228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/5.01 % (2614228)CaDiCaL version: 2.1.3
% 15.45/5.01 % (2614228)Termination reason: Instruction limit
% 15.45/5.01 % (2614228)Termination phase: Preprocessing 1
% 15.45/5.01 % (2614228)Time elapsed: 0.097 s
% 15.45/5.01 % (2614228)Peak memory usage: 137 MB
% 15.45/5.01 % (2614228)Instructions burned: 127 (million)
% 15.45/5.01 % (2614230)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1960391875:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2970 on theBenchmark for (2970ds/114Mi)
% 15.45/5.01 % (2614230)Instruction limit reached!
% 15.45/5.01 % (2614230)------------------------------
% 15.45/5.01 % (2614230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.45/5.01 % (2614230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/5.01 % (2614230)CaDiCaL version: 2.1.3
% 15.45/5.01 % (2614230)Termination reason: Instruction limit
% 15.45/5.01 % (2614230)Termination phase: Property scanning
% 15.45/5.01 % (2614230)Time elapsed: 0.053 s
% 15.45/5.01 % (2614230)Peak memory usage: 136 MB
% 15.45/5.01 % (2614230)Instructions burned: 114 (million)
% 15.45/5.01 % (2614232)lrs+10_1_sil=8000:sp=occurrence:random_seed=572864675:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2970 on theBenchmark for (2970ds/907Mi)
% 15.45/5.01 % (2614233)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1180668679:i=437:sd=1:aac=none:ss=included_2969 on theBenchmark for (2969ds/437Mi)
% 15.45/5.01 % (2614235)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=356676763:i=5202:ss=axioms:sgt=16_2968 on theBenchmark for (2968ds/5202Mi)
% 15.45/5.01 % (2614233)Refutation not found, incomplete strategy
% 15.45/5.01 % (2614233)------------------------------
% 15.45/5.01 % (2614233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.45/5.01 % (2614233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/5.01 % (2614233)CaDiCaL version: 2.1.3
% 15.45/5.01 % (2614233)Termination reason: Refutation not found, incomplete strategy
% 15.45/5.01 % (2614233)Time elapsed: 0.231 s
% 15.45/5.01 % (2614233)Peak memory usage: 142 MB
% 15.45/5.01 % (2614233)Instructions burned: 309 (million)
% 15.45/5.01 % (2614233)------------------------------
% 15.45/5.01 % (2614233)------------------------------
% 15.45/5.01 % (2614232)Instruction limit reached!
% 15.45/5.01 % (2614232)------------------------------
% 15.45/5.01 % (2614232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.45/5.01 % (2614232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/5.01 % (2614232)CaDiCaL version: 2.1.3
% 15.45/5.01 % (2614232)Termination reason: Instruction limit
% 15.45/5.01 % (2614232)Termination phase: Property scanning
% 15.45/5.01 % (2614232)Time elapsed: 0.581 s
% 15.45/5.01 % (2614232)Peak memory usage: 154 MB
% 15.45/5.01 % (2614232)Instructions burned: 907 (million)
% 15.45/5.01 % (2614239)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=885870518:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2962 on theBenchmark for (2962ds/134Mi)
% 15.45/5.01 % (2614203)First to succeed.
% 15.45/5.01 % (2614203)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2614196"
% 15.45/5.01 % (2614240)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1801446701:st=8:i=592:sd=3:ep=RST:ss=axioms_2962 on theBenchmark for (2962ds/592Mi)
% 15.45/5.01 % (2614239)Instruction limit reached!
% 15.45/5.01 % (2614239)------------------------------
% 15.45/5.01 % (2614239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.45/5.01 % (2614239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.45/5.01 % (2614239)CaDiCaL version: 2.1.3
% 15.45/5.01 % (2614239)Termination reason: Instruction limit
% 15.45/5.01 % (2614239)Termination phase: SInE selection
% 15.45/5.01 % (2614239)Time elapsed: 0.102 s
% 15.45/5.01 % (2614239)Peak memory usage: 136 MB
% 15.45/5.01 % (2614239)Instructions burned: 134 (million)
% 15.45/5.01 % (2614243)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3374452376:st=3:i=13193:sd=3:ss=axioms_2960 on theBenchmark for (2960ds/13193Mi)
% 15.45/5.01 % (2614203)Refutation found. Thanks to Tanya!
% 15.45/5.01 % SZS status Theorem for theBenchmark
% 15.45/5.01 % SZS output start Proof for theBenchmark
% See solution above
% 16.83/5.26 % (2614203)------------------------------
% 16.83/5.26 % (2614203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.83/5.26 % (2614203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.83/5.26 % (2614203)CaDiCaL version: 2.1.3
% 16.83/5.26 % (2614203)Termination reason: Refutation
% 16.83/5.26 % (2614203)Time elapsed: 1.526 s
% 16.83/5.26 % (2614203)Peak memory usage: 205 MB
% 16.83/5.26 % (2614203)Instructions burned: 2290 (million)
% 16.83/5.26 % (2614203)------------------------------
% 16.83/5.26 % (2614203)------------------------------
% 16.83/5.26 % (2614196)Success in time 4.165 s
% 16.83/5.26 % Vampire exiting
%------------------------------------------------------------------------------