%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT300+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 11.63s 5.23s
% Output : Refutation 18.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 120 ( 20 unt; 9 def)
% Number of atoms : 473 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 599 ( 246 ~; 278 |; 43 &)
% ( 16 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 10 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 102 ( 0 sgn 93 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f480,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) )
& ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f555,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ? [X2] : m2_subset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_subset_1) ).
fof(f556,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_subset_1) ).
fof(f678,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f21515,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f21600,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f31985,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f34607,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f34682,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_hidden(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_filter_2) ).
fof(f34683,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_hidden(X2,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f34682]) ).
fof(f34730,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34607]) ).
fof(f34731,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34730]) ).
fof(f34877,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,X1) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f34683]) ).
fof(f34878,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ r2_hidden(X2,X1) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f34877]) ).
fof(f34883,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f480]) ).
fof(f34888,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31985]) ).
fof(f34889,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34888]) ).
fof(f34902,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21600]) ).
fof(f34903,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34902]) ).
fof(f34904,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21515]) ).
fof(f34905,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34904]) ).
fof(f34914,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f678]) ).
fof(f34915,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f34914]) ).
fof(f35066,plain,
! [X0,X1] :
( ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) )
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f556]) ).
fof(f35067,plain,
! [X0,X1] :
( ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) )
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f35066]) ).
fof(f35068,plain,
! [X0,X1] :
( ? [X2] : m2_subset_1(X2,X0,X1)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f555]) ).
fof(f35069,plain,
! [X0,X1] :
( ? [X2] : m2_subset_1(X2,X0,X1)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f35068]) ).
fof(f35350,plain,
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(sK16))
| ~ r2_hidden(X2,sK17) )
& m2_filter_2(sK17,sK16)
& ~ v3_struct_0(sK16)
& v10_lattices(sK16)
& l3_lattices(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X0,sK16),skolemize(X1,sK17)],[f34878]) ).
fof(f35352,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f34883]) ).
fof(f35427,plain,
! [X0,X1] :
( ! [X2] :
( ( m2_subset_1(X2,X0,X1)
| ~ m1_subset_1(X2,X1) )
& ( m1_subset_1(X2,X1)
| ~ m2_subset_1(X2,X0,X1) ) )
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f35067]) ).
fof(f35428,plain,
! [X0,X1] :
( m2_subset_1(sK69(X0,X1),X0,X1)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(X2,sK69(X0,X1))],[f35069]) ).
fof(f35551,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34731]) ).
fof(f35552,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34731]) ).
fof(f35697,plain,
l3_lattices(sK16),
inference(cnf_transformation,[],[f35350]) ).
fof(f35698,plain,
v10_lattices(sK16),
inference(cnf_transformation,[],[f35350]) ).
fof(f35699,plain,
~ v3_struct_0(sK16),
inference(cnf_transformation,[],[f35350]) ).
fof(f35700,plain,
m2_filter_2(sK17,sK16),
inference(cnf_transformation,[],[f35350]) ).
fof(f35701,plain,
! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(sK16))
| ~ r2_hidden(X2,sK17) ),
inference(cnf_transformation,[],[f35350]) ).
fof(f35707,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f35352]) ).
fof(f35715,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34889]) ).
fof(f35730,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34903]) ).
fof(f35731,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34905]) ).
fof(f35777,plain,
! [X2,X0,X1] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f34915]) ).
fof(f35981,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,X1)
| ~ m2_subset_1(X2,X0,X1)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f35427]) ).
fof(f35983,plain,
! [X0,X1] :
( m2_subset_1(sK69(X0,X1),X0,X1)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f35428]) ).
fof(f36501,definition,
( spl161_1
<=> v3_struct_0(sK16) ),
introduced(definition,[new_symbols(definition,[spl161_1])],[avatar_definition]) ).
fof(f36503,plain,
( ~ v3_struct_0(sK16)
| spl161_1 ),
inference(avatar_component_clause,[],[f36501]) ).
fof(f36504,plain,
~ spl161_1,
inference(avatar_split_clause,[],[f35699,f36501]) ).
fof(f36506,definition,
( spl161_2
<=> v10_lattices(sK16) ),
introduced(definition,[new_symbols(definition,[spl161_2])],[avatar_definition]) ).
fof(f36508,plain,
( v10_lattices(sK16)
| ~ spl161_2 ),
inference(avatar_component_clause,[],[f36506]) ).
fof(f36509,plain,
spl161_2,
inference(avatar_split_clause,[],[f35698,f36506]) ).
fof(f36511,definition,
( spl161_3
<=> l3_lattices(sK16) ),
introduced(definition,[new_symbols(definition,[spl161_3])],[avatar_definition]) ).
fof(f36513,plain,
( l3_lattices(sK16)
| ~ spl161_3 ),
inference(avatar_component_clause,[],[f36511]) ).
fof(f36514,plain,
spl161_3,
inference(avatar_split_clause,[],[f35697,f36511]) ).
fof(f36516,definition,
( spl161_4
<=> m2_filter_2(sK17,sK16) ),
introduced(definition,[new_symbols(definition,[spl161_4])],[avatar_definition]) ).
fof(f36518,plain,
( m2_filter_2(sK17,sK16)
| ~ spl161_4 ),
inference(avatar_component_clause,[],[f36516]) ).
fof(f36519,plain,
spl161_4,
inference(avatar_split_clause,[],[f35700,f36516]) ).
fof(f36520,plain,
( m2_lattice4(sK17,sK16)
| v3_struct_0(sK16)
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| ~ spl161_4 ),
inference(resolution,[],[f36518,f35551]) ).
fof(f36521,plain,
( ~ v1_xboole_0(sK17)
| v3_struct_0(sK16)
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| ~ spl161_4 ),
inference(resolution,[],[f36518,f35552]) ).
fof(f36550,plain,
( ~ v1_xboole_0(sK17)
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl161_1
| ~ spl161_4 ),
inference(forward_subsumption_resolution,[],[f36521,f36503]) ).
fof(f36551,plain,
( m2_lattice4(sK17,sK16)
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl161_1
| ~ spl161_4 ),
inference(forward_subsumption_resolution,[],[f36520,f36503]) ).
fof(f36564,plain,
( ~ v1_xboole_0(sK17)
| ~ l3_lattices(sK16)
| spl161_1
| ~ spl161_2
| ~ spl161_4 ),
inference(forward_subsumption_resolution,[],[f36550,f36508]) ).
fof(f36565,plain,
( m2_lattice4(sK17,sK16)
| ~ l3_lattices(sK16)
| spl161_1
| ~ spl161_2
| ~ spl161_4 ),
inference(forward_subsumption_resolution,[],[f36551,f36508]) ).
fof(f36578,plain,
( ~ v1_xboole_0(sK17)
| spl161_1
| ~ spl161_2
| ~ spl161_3
| ~ spl161_4 ),
inference(forward_subsumption_resolution,[],[f36564,f36513]) ).
fof(f36579,plain,
( m2_lattice4(sK17,sK16)
| spl161_1
| ~ spl161_2
| ~ spl161_3
| ~ spl161_4 ),
inference(forward_subsumption_resolution,[],[f36565,f36513]) ).
fof(f36729,plain,
( m1_filter_0(u1_struct_0(sK16),sK16)
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl161_1 ),
inference(resolution,[],[f36503,f35731]) ).
fof(f37418,plain,
( m1_filter_0(u1_struct_0(sK16),sK16)
| ~ l3_lattices(sK16)
| spl161_1
| ~ spl161_2 ),
inference(forward_subsumption_resolution,[],[f36729,f36508]) ).
fof(f37820,plain,
( m1_filter_0(u1_struct_0(sK16),sK16)
| spl161_1
| ~ spl161_2
| ~ spl161_3 ),
inference(forward_subsumption_resolution,[],[f37418,f36513]) ).
fof(f39168,definition,
( spl161_5
<=> ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(sK16))
| ~ r2_hidden(X2,sK17) ) ),
introduced(definition,[new_symbols(definition,[spl161_5])],[avatar_definition]) ).
fof(f39169,plain,
( ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(sK16))
| ~ r2_hidden(X2,sK17) )
| ~ spl161_5 ),
inference(avatar_component_clause,[],[f39168]) ).
fof(f39170,plain,
spl161_5,
inference(avatar_split_clause,[],[f35701,f39168]) ).
fof(f39605,definition,
( spl161_7
<=> m2_lattice4(sK17,sK16) ),
introduced(definition,[new_symbols(definition,[spl161_7])],[avatar_definition]) ).
fof(f39607,plain,
( m2_lattice4(sK17,sK16)
| ~ spl161_7 ),
inference(avatar_component_clause,[],[f39605]) ).
fof(f39608,plain,
( spl161_7
| spl161_1
| ~ spl161_2
| ~ spl161_3
| ~ spl161_4 ),
inference(avatar_split_clause,[],[f36579,f36516,f36511,f36506,f36501,f39605]) ).
fof(f39623,plain,
( m1_subset_1(sK17,k1_zfmisc_1(u1_struct_0(sK16)))
| v3_struct_0(sK16)
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| ~ spl161_7 ),
inference(resolution,[],[f39607,f35715]) ).
fof(f39628,plain,
( m1_subset_1(sK17,k1_zfmisc_1(u1_struct_0(sK16)))
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl161_1
| ~ spl161_7 ),
inference(forward_subsumption_resolution,[],[f39623,f36503]) ).
fof(f39640,plain,
( m1_subset_1(sK17,k1_zfmisc_1(u1_struct_0(sK16)))
| ~ l3_lattices(sK16)
| spl161_1
| ~ spl161_2
| ~ spl161_7 ),
inference(forward_subsumption_resolution,[],[f39628,f36508]) ).
fof(f39650,plain,
( m1_subset_1(sK17,k1_zfmisc_1(u1_struct_0(sK16)))
| spl161_1
| ~ spl161_2
| ~ spl161_3
| ~ spl161_7 ),
inference(forward_subsumption_resolution,[],[f39640,f36513]) ).
fof(f39813,definition,
( spl161_11
<=> v1_xboole_0(sK17) ),
introduced(definition,[new_symbols(definition,[spl161_11])],[avatar_definition]) ).
fof(f39815,plain,
( ~ v1_xboole_0(sK17)
| spl161_11 ),
inference(avatar_component_clause,[],[f39813]) ).
fof(f39816,plain,
( ~ spl161_11
| spl161_1
| ~ spl161_2
| ~ spl161_3
| ~ spl161_4 ),
inference(avatar_split_clause,[],[f36578,f36516,f36511,f36506,f36501,f39813]) ).
fof(f39880,plain,
( ! [X0] :
( r2_hidden(X0,sK17)
| ~ m1_subset_1(X0,sK17) )
| spl161_11 ),
inference(resolution,[],[f39815,f35707]) ).
fof(f40245,definition,
( spl161_15
<=> m1_filter_0(u1_struct_0(sK16),sK16) ),
introduced(definition,[new_symbols(definition,[spl161_15])],[avatar_definition]) ).
fof(f40247,plain,
( m1_filter_0(u1_struct_0(sK16),sK16)
| ~ spl161_15 ),
inference(avatar_component_clause,[],[f40245]) ).
fof(f40248,plain,
( spl161_15
| spl161_1
| ~ spl161_2
| ~ spl161_3 ),
inference(avatar_split_clause,[],[f37820,f36511,f36506,f36501,f40245]) ).
fof(f40260,plain,
( ~ v1_xboole_0(u1_struct_0(sK16))
| v3_struct_0(sK16)
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| ~ spl161_15 ),
inference(resolution,[],[f40247,f35730]) ).
fof(f40304,plain,
( ~ v1_xboole_0(u1_struct_0(sK16))
| ~ v10_lattices(sK16)
| ~ l3_lattices(sK16)
| spl161_1
| ~ spl161_15 ),
inference(forward_subsumption_resolution,[],[f40260,f36503]) ).
fof(f40333,plain,
( ~ v1_xboole_0(u1_struct_0(sK16))
| ~ l3_lattices(sK16)
| spl161_1
| ~ spl161_2
| ~ spl161_15 ),
inference(forward_subsumption_resolution,[],[f40304,f36508]) ).
fof(f40362,plain,
( ~ v1_xboole_0(u1_struct_0(sK16))
| spl161_1
| ~ spl161_2
| ~ spl161_3
| ~ spl161_15 ),
inference(forward_subsumption_resolution,[],[f40333,f36513]) ).
fof(f41307,definition,
( spl161_24
<=> m1_subset_1(sK17,k1_zfmisc_1(u1_struct_0(sK16))) ),
introduced(definition,[new_symbols(definition,[spl161_24])],[avatar_definition]) ).
fof(f41309,plain,
( m1_subset_1(sK17,k1_zfmisc_1(u1_struct_0(sK16)))
| ~ spl161_24 ),
inference(avatar_component_clause,[],[f41307]) ).
fof(f41310,plain,
( spl161_24
| spl161_1
| ~ spl161_2
| ~ spl161_3
| ~ spl161_7 ),
inference(avatar_split_clause,[],[f39650,f39605,f36511,f36506,f36501,f41307]) ).
fof(f41453,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK16))
| ~ r2_hidden(X0,sK17) )
| ~ spl161_24 ),
inference(resolution,[],[f41309,f35777]) ).
fof(f41462,plain,
( ! [X0] :
( m1_subset_1(X0,sK17)
| ~ m2_subset_1(X0,u1_struct_0(sK16),sK17)
| v1_xboole_0(u1_struct_0(sK16))
| v1_xboole_0(sK17) )
| ~ spl161_24 ),
inference(resolution,[],[f41309,f35981]) ).
fof(f41464,plain,
( m2_subset_1(sK69(u1_struct_0(sK16),sK17),u1_struct_0(sK16),sK17)
| v1_xboole_0(u1_struct_0(sK16))
| v1_xboole_0(sK17)
| ~ spl161_24 ),
inference(resolution,[],[f41309,f35983]) ).
fof(f41672,plain,
( m2_subset_1(sK69(u1_struct_0(sK16),sK17),u1_struct_0(sK16),sK17)
| v1_xboole_0(sK17)
| spl161_1
| ~ spl161_2
| ~ spl161_3
| ~ spl161_15
| ~ spl161_24 ),
inference(forward_subsumption_resolution,[],[f41464,f40362]) ).
fof(f41674,plain,
( ! [X0] :
( m1_subset_1(X0,sK17)
| ~ m2_subset_1(X0,u1_struct_0(sK16),sK17)
| v1_xboole_0(sK17) )
| spl161_1
| ~ spl161_2
| ~ spl161_3
| ~ spl161_15
| ~ spl161_24 ),
inference(forward_subsumption_resolution,[],[f41462,f40362]) ).
fof(f41675,plain,
( ! [X0] : ~ r2_hidden(X0,sK17)
| ~ spl161_5
| ~ spl161_24 ),
inference(forward_subsumption_resolution,[],[f41453,f39169]) ).
fof(f41753,plain,
( m2_subset_1(sK69(u1_struct_0(sK16),sK17),u1_struct_0(sK16),sK17)
| spl161_1
| ~ spl161_2
| ~ spl161_3
| spl161_11
| ~ spl161_15
| ~ spl161_24 ),
inference(forward_subsumption_resolution,[],[f41672,f39815]) ).
fof(f41755,plain,
( ! [X0] :
( m1_subset_1(X0,sK17)
| ~ m2_subset_1(X0,u1_struct_0(sK16),sK17) )
| spl161_1
| ~ spl161_2
| ~ spl161_3
| spl161_11
| ~ spl161_15
| ~ spl161_24 ),
inference(forward_subsumption_resolution,[],[f41674,f39815]) ).
fof(f41756,plain,
( ! [X0] : ~ m1_subset_1(X0,sK17)
| ~ spl161_5
| spl161_11
| ~ spl161_24 ),
inference(backward_subsumption_resolution,[],[f39880,f41675]) ).
fof(f41871,plain,
( ! [X0] : ~ m2_subset_1(X0,u1_struct_0(sK16),sK17)
| spl161_1
| ~ spl161_2
| ~ spl161_3
| ~ spl161_5
| spl161_11
| ~ spl161_15
| ~ spl161_24 ),
inference(backward_subsumption_resolution,[],[f41755,f41756]) ).
fof(f41973,plain,
( $false
| spl161_1
| ~ spl161_2
| ~ spl161_3
| ~ spl161_5
| spl161_11
| ~ spl161_15
| ~ spl161_24 ),
inference(backward_subsumption_resolution,[],[f41753,f41871]) ).
fof(f41974,plain,
( spl161_1
| ~ spl161_2
| ~ spl161_3
| ~ spl161_5
| spl161_11
| ~ spl161_15
| ~ spl161_24 ),
inference(avatar_contradiction_clause,[],[f41973]) ).
cnf(s1,plain,
~ spl161_1,
inference(sat_conversion,[],[f36504]) ).
cnf(s2,plain,
spl161_2,
inference(sat_conversion,[],[f36509]) ).
cnf(s3,plain,
spl161_3,
inference(sat_conversion,[],[f36514]) ).
cnf(s4,plain,
spl161_4,
inference(sat_conversion,[],[f36519]) ).
cnf(s5,plain,
spl161_5,
inference(sat_conversion,[],[f39170]) ).
cnf(s7,plain,
( spl161_1
| ~ spl161_2
| ~ spl161_3
| ~ spl161_4
| spl161_7 ),
inference(sat_conversion,[],[f39608]) ).
cnf(s11,plain,
( spl161_1
| ~ spl161_2
| ~ spl161_3
| ~ spl161_4
| ~ spl161_11 ),
inference(sat_conversion,[],[f39816]) ).
cnf(s15,plain,
( spl161_1
| ~ spl161_2
| ~ spl161_3
| spl161_15 ),
inference(sat_conversion,[],[f40248]) ).
cnf(s24,plain,
( spl161_1
| ~ spl161_2
| ~ spl161_3
| ~ spl161_7
| spl161_24 ),
inference(sat_conversion,[],[f41310]) ).
cnf(s30,plain,
( spl161_1
| ~ spl161_2
| ~ spl161_3
| ~ spl161_5
| spl161_11
| ~ spl161_15
| ~ spl161_24 ),
inference(sat_conversion,[],[f41974]) ).
cnf(s36,plain,
spl161_15,
inference(rat,[],[s15,s2,s3,s1]) ).
cnf(s40,plain,
~ spl161_11,
inference(rat,[],[s11,s2,s4,s3,s1]) ).
cnf(s42,plain,
spl161_7,
inference(rat,[],[s7,s2,s4,s3,s1]) ).
cnf(s44,plain,
~ spl161_24,
inference(rat,[],[s30,s36,s1,s2,s5,s3,s40]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s24,s1,s2,s3,s44,s42]) ).
fof(f42042,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT300+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 14:18:11 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 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
% 13.97/4.94 % (2611298)Detected formulas, will run a generic FOF schedule.
% 13.97/4.94 % (2611307)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=229516238:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 13.97/4.94 % (2611303)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=1529555373:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 13.97/4.94 % (2611305)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=2230138628:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 13.97/4.94 % (2611306)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3052418795:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 13.97/4.94 % (2611304)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=3595493412:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 13.97/4.94 % (2611309)dis-21_1_sil=8000:lcm=predicate:random_seed=418604281: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)
% 13.97/4.94 % (2611308)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=161844859:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 13.97/4.94 % (2611307)Instruction limit reached!
% 13.97/4.94 % (2611307)------------------------------
% 13.97/4.94 % (2611307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/4.94 % (2611307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/4.94 % (2611307)CaDiCaL version: 2.1.3
% 13.97/4.94 % (2611307)Termination reason: Instruction limit
% 13.97/4.94 % (2611307)Termination phase: SInE selection
% 13.97/4.94 % (2611307)Time elapsed: 0.056 s
% 13.97/4.94 % (2611307)Peak memory usage: 136 MB
% 13.97/4.94 % (2611307)Instructions burned: 121 (million)
% 13.97/4.94 % (2611308)Instruction limit reached!
% 13.97/4.94 % (2611308)------------------------------
% 13.97/4.94 % (2611308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/4.94 % (2611308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/4.94 % (2611308)CaDiCaL version: 2.1.3
% 13.97/4.94 % (2611308)Termination reason: Instruction limit
% 13.97/4.94 % (2611308)Termination phase: Property scanning
% 13.97/4.94 % (2611308)Time elapsed: 0.063 s
% 13.97/4.94 % (2611308)Peak memory usage: 136 MB
% 13.97/4.94 % (2611308)Instructions burned: 140 (million)
% 13.97/4.94 % (2611306)Instruction limit reached!
% 13.97/4.94 % (2611306)------------------------------
% 13.97/4.94 % (2611306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/4.94 % (2611306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/4.94 % (2611306)CaDiCaL version: 2.1.3
% 13.97/4.94 % (2611306)Termination reason: Instruction limit
% 13.97/4.94 % (2611306)Termination phase: SInE selection
% 13.97/4.94 % (2611306)Time elapsed: 0.085 s
% 13.97/4.94 % (2611306)Peak memory usage: 136 MB
% 13.97/4.94 % (2611306)Instructions burned: 109 (million)
% 13.97/4.94 % (2611309)Instruction limit reached!
% 13.97/4.94 % (2611309)------------------------------
% 13.97/4.94 % (2611309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/4.94 % (2611309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.97/4.94 % (2611309)CaDiCaL version: 2.1.3
% 13.97/4.94 % (2611309)Termination reason: Instruction limit
% 13.97/4.94 % (2611309)Termination phase: SInE selection
% 13.97/4.94 % (2611309)Time elapsed: 0.096 s
% 13.97/4.94 % (2611309)Peak memory usage: 136 MB
% 13.97/4.94 % (2611309)Instructions burned: 131 (million)
% 13.97/4.94 % (2611317)lrs+10_1_sil=8000:sp=occurrence:random_seed=918592115:i=285:sd=3:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/285Mi)
% 13.97/4.94 % (2611318)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3833830145:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/157Mi)
% 13.97/4.94 % (2611319)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2672887118:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 13.97/4.94 % (2611317)Instruction limit reached!
% 13.97/4.94 % (2611317)------------------------------
% 13.97/4.94 % (2611317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.97/4.94 % (2611317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/5.22 % (2611317)CaDiCaL version: 2.1.3
% 11.63/5.22 % (2611317)Termination reason: Instruction limit
% 11.63/5.22 % (2611317)Termination phase: Saturation
% 11.63/5.22 % (2611317)Time elapsed: 0.132 s
% 11.63/5.22 % (2611317)Peak memory usage: 142 MB
% 11.63/5.22 % (2611317)Instructions burned: 286 (million)
% 11.63/5.22 % (2611321)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=1794804935:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 11.63/5.22 % (2611318)Instruction limit reached!
% 11.63/5.22 % (2611318)------------------------------
% 11.63/5.22 % (2611318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/5.22 % (2611318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/5.22 % (2611318)CaDiCaL version: 2.1.3
% 11.63/5.22 % (2611318)Termination reason: Instruction limit
% 11.63/5.22 % (2611318)Termination phase: Property scanning
% 11.63/5.22 % (2611318)Time elapsed: 0.070 s
% 11.63/5.22 % (2611318)Peak memory usage: 136 MB
% 11.63/5.22 % (2611318)Instructions burned: 159 (million)
% 11.63/5.22 % (2611324)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2871763427:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2974 on theBenchmark for (2974ds/294Mi)
% 11.63/5.22 % (2611321)Instruction limit reached!
% 11.63/5.22 % (2611321)------------------------------
% 11.63/5.22 % (2611321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/5.22 % (2611321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/5.22 % (2611321)CaDiCaL version: 2.1.3
% 11.63/5.22 % (2611321)Termination reason: Instruction limit
% 11.63/5.22 % (2611321)Termination phase: Property scanning
% 11.63/5.22 % (2611321)Time elapsed: 0.110 s
% 11.63/5.22 % (2611321)Peak memory usage: 136 MB
% 11.63/5.22 % (2611321)Instructions burned: 249 (million)
% 11.63/5.22 % (2611326)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=624656061:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 11.63/5.22 % (2611319)Refutation not found, incomplete strategy
% 11.63/5.22 % (2611319)------------------------------
% 11.63/5.22 % (2611319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/5.22 % (2611319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/5.22 % (2611319)CaDiCaL version: 2.1.3
% 11.63/5.22 % (2611319)Termination reason: Refutation not found, incomplete strategy
% 11.63/5.22 % (2611319)Time elapsed: 0.238 s
% 11.63/5.22 % (2611319)Peak memory usage: 142 MB
% 11.63/5.22 % (2611319)Instructions burned: 294 (million)
% 11.63/5.22 % (2611324)Instruction limit reached!
% 11.63/5.22 % (2611324)------------------------------
% 11.63/5.22 % (2611324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/5.22 % (2611324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/5.22 % (2611324)CaDiCaL version: 2.1.3
% 11.63/5.22 % (2611324)Termination reason: Instruction limit
% 11.63/5.22 % (2611324)Termination phase: SInE selection
% 11.63/5.22 % (2611324)Time elapsed: 0.110 s
% 11.63/5.22 % (2611324)Peak memory usage: 137 MB
% 11.63/5.22 % (2611324)Instructions burned: 295 (million)
% 11.63/5.22 % (2611328)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2082859836:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 11.63/5.22 % (2611330)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3950088906:i=127:av=off:fsr=off:sup=off_2972 on theBenchmark for (2972ds/127Mi)
% 11.63/5.22 % (2611328)Instruction limit reached!
% 11.63/5.22 % (2611328)------------------------------
% 11.63/5.22 % (2611328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/5.22 % (2611328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/5.22 % (2611328)CaDiCaL version: 2.1.3
% 11.63/5.22 % (2611328)Termination reason: Instruction limit
% 11.63/5.22 % (2611328)Termination phase: SInE selection
% 11.63/5.22 % (2611328)Time elapsed: 0.092 s
% 11.63/5.22 % (2611328)Peak memory usage: 136 MB
% 11.63/5.22 % (2611328)Instructions burned: 115 (million)
% 11.63/5.22 % (2611330)Instruction limit reached!
% 11.63/5.22 % (2611330)------------------------------
% 11.63/5.22 % (2611330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/5.22 % (2611330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/5.22 % (2611330)CaDiCaL version: 2.1.3
% 11.63/5.22 % (2611330)Termination reason: Instruction limit
% 11.63/5.22 % (2611330)Termination phase: Preprocessing 1
% 11.63/5.22 % (2611330)Time elapsed: 0.057 s
% 11.63/5.22 % (2611330)Peak memory usage: 137 MB
% 11.63/5.22 % (2611330)Instructions burned: 127 (million)
% 11.63/5.22 % (2611334)lrs+10_1_sil=8000:sp=occurrence:random_seed=1580478857:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2970 on theBenchmark for (2970ds/907Mi)
% 11.63/5.22 % (2611319)------------------------------
% 11.63/5.22 % (2611319)------------------------------
% 11.63/5.22 % (2611333)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1460863279:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2970 on theBenchmark for (2970ds/114Mi)
% 11.63/5.22 % (2611333)Instruction limit reached!
% 11.63/5.22 % (2611333)------------------------------
% 11.63/5.22 % (2611333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/5.22 % (2611333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/5.22 % (2611333)CaDiCaL version: 2.1.3
% 11.63/5.22 % (2611333)Termination reason: Instruction limit
% 11.63/5.22 % (2611333)Termination phase: Property scanning
% 11.63/5.22 % (2611333)Time elapsed: 0.056 s
% 11.63/5.22 % (2611333)Peak memory usage: 136 MB
% 11.63/5.22 % (2611333)Instructions burned: 121 (million)
% 11.63/5.22 % (2611336)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3875323587:i=437:sd=1:aac=none:ss=included_2969 on theBenchmark for (2969ds/437Mi)
% 11.63/5.22 % (2611338)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4242459441:i=5202:ss=axioms:sgt=16_2968 on theBenchmark for (2968ds/5202Mi)
% 11.63/5.22 % (2611334)Instruction limit reached!
% 11.63/5.22 % (2611334)------------------------------
% 11.63/5.22 % (2611334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/5.22 % (2611334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/5.22 % (2611334)CaDiCaL version: 2.1.3
% 11.63/5.22 % (2611334)Termination reason: Instruction limit
% 11.63/5.22 % (2611334)Termination phase: Property scanning
% 11.63/5.22 % (2611334)Time elapsed: 0.336 s
% 11.63/5.22 % (2611334)Peak memory usage: 154 MB
% 11.63/5.22 % (2611334)Instructions burned: 912 (million)
% 11.63/5.22 % (2611341)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3073412717:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2966 on theBenchmark for (2966ds/134Mi)
% 11.63/5.23 % (2611336)Instruction limit reached!
% 11.63/5.23 % (2611336)------------------------------
% 11.63/5.23 % (2611336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/5.23 % (2611336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/5.23 % (2611336)CaDiCaL version: 2.1.3
% 11.63/5.23 % (2611336)Termination reason: Instruction limit
% 11.63/5.23 % (2611336)Termination phase: Saturation
% 11.63/5.23 % (2611336)Time elapsed: 0.295 s
% 11.63/5.23 % (2611336)Peak memory usage: 143 MB
% 11.63/5.23 % (2611336)Instructions burned: 437 (million)
% 11.63/5.23 % (2611341)Instruction limit reached!
% 11.63/5.23 % (2611341)------------------------------
% 11.63/5.23 % (2611341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/5.23 % (2611341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/5.23 % (2611341)CaDiCaL version: 2.1.3
% 11.63/5.23 % (2611341)Termination reason: Instruction limit
% 11.63/5.23 % (2611341)Termination phase: SInE selection
% 11.63/5.23 % (2611341)Time elapsed: 0.057 s
% 11.63/5.23 % (2611341)Peak memory usage: 136 MB
% 11.63/5.23 % (2611341)Instructions burned: 135 (million)
% 11.63/5.23 % (2611343)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4290819861:st=8:i=592:sd=3:ep=RST:ss=axioms_2964 on theBenchmark for (2964ds/592Mi)
% 11.63/5.23 % (2611344)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3935942722:st=3:i=13193:sd=3:ss=axioms_2964 on theBenchmark for (2964ds/13193Mi)
% 11.63/5.23 % (2611305)First to succeed.
% 11.63/5.23 % (2611305)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2611298"
% 11.63/5.23 % (2611343)Instruction limit reached!
% 11.63/5.23 % (2611343)------------------------------
% 11.63/5.23 % (2611343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/5.23 % (2611343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/5.23 % (2611343)CaDiCaL version: 2.1.3
% 11.63/5.23 % (2611343)Termination reason: Instruction limit
% 11.63/5.23 % (2611343)Termination phase: Preprocessing 3
% 11.63/5.23 % (2611343)Time elapsed: 0.437 s
% 11.63/5.23 % (2611343)Peak memory usage: 150 MB
% 11.63/5.23 % (2611343)Instructions burned: 594 (million)
% 11.63/5.23 % (2611347)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2772924867:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2959 on theBenchmark for (2959ds/125Mi)
% 11.63/5.23 % (2611347)Instruction limit reached!
% 11.63/5.23 % (2611347)------------------------------
% 11.63/5.23 % (2611347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/5.23 % (2611347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/5.23 % (2611347)CaDiCaL version: 2.1.3
% 11.63/5.23 % (2611347)Termination reason: Instruction limit
% 11.63/5.23 % (2611347)Termination phase: Property scanning
% 11.63/5.23 % (2611347)Time elapsed: 0.058 s
% 11.63/5.23 % (2611347)Peak memory usage: 136 MB
% 11.63/5.23 % (2611347)Instructions burned: 127 (million)
% 11.63/5.23 % (2611326)Instruction limit reached!
% 11.63/5.23 % (2611326)------------------------------
% 11.63/5.23 % (2611326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.63/5.23 % (2611326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/5.23 % (2611326)CaDiCaL version: 2.1.3
% 11.63/5.23 % (2611326)Termination reason: Instruction limit
% 11.63/5.23 % (2611326)Termination phase: Property scanning
% 11.63/5.23 % (2611326)Time elapsed: 1.567 s
% 11.63/5.23 % (2611326)Peak memory usage: 233 MB
% 11.63/5.23 % (2611326)Instructions burned: 2350 (million)
% 11.63/5.23 % (2611305)Refutation found. Thanks to Tanya!
% 11.63/5.23 % SZS status Theorem for theBenchmark
% 11.63/5.23 % SZS output start Proof for theBenchmark
% See solution above
% 18.21/5.34 % (2611305)------------------------------
% 18.21/5.34 % (2611305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.21/5.34 % (2611305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.21/5.34 % (2611305)CaDiCaL version: 2.1.3
% 18.21/5.34 % (2611305)Termination reason: Refutation
% 18.21/5.34 % (2611305)Time elapsed: 1.735 s
% 18.21/5.34 % (2611305)Peak memory usage: 208 MB
% 18.21/5.34 % (2611305)Instructions burned: 2682 (million)
% 18.21/5.34 % (2611305)------------------------------
% 18.21/5.34 % (2611305)------------------------------
% 18.21/5.34 % (2611298)Success in time 4.371 s
% 18.21/5.34 % Vampire exiting
%------------------------------------------------------------------------------