%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT313+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 : n002.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 11:46:49 AM UTC 2026
% Result : Theorem 14.62s 4.86s
% Output : Refutation 15.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 26
% Syntax : Number of formulae : 179 ( 28 unt; 15 def)
% Number of atoms : 772 ( 38 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1028 ( 435 ~; 495 |; 58 &)
% ( 18 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 15 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 100 ( 0 sgn 96 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f679,axiom,
! [X0,X1,X2] :
~ ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_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(f34609,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X1,X2)
=> r1_filter_2(X0,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_filter_2) ).
fof(f34611,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(f34687,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k17_filter_2(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f34701,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_filter_2) ).
fof(f34705,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( ( v14_lattices(X0)
& r2_hidden(k6_lattices(X0),X1) )
=> ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),k17_filter_2(X0))
& k19_filter_2(X0,X1) = u1_struct_0(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_filter_2) ).
fof(f34706,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( v14_lattices(X0)
& r2_hidden(k6_lattices(X0),X1) )
=> ( r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0))
& X1 = u1_struct_0(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_filter_2) ).
fof(f34707,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( v14_lattices(X0)
& r2_hidden(k6_lattices(X0),X1) )
=> ( r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0))
& X1 = u1_struct_0(X0) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f34706]) ).
fof(f34753,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(f34754,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,[],[f34753]) ).
fof(f34757,plain,
! [X0,X1,X2] :
( r1_filter_2(X0,X2,X1)
| ~ r1_filter_2(X0,X1,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f34609]) ).
fof(f34758,plain,
! [X0,X1,X2] :
( r1_filter_2(X0,X2,X1)
| ~ r1_filter_2(X0,X1,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f34757]) ).
fof(f34761,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f34611]) ).
fof(f34762,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f34761]) ).
fof(f34910,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34687]) ).
fof(f34911,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34910]) ).
fof(f34938,plain,
! [X0] :
( ! [X1] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1)
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34701]) ).
fof(f34939,plain,
! [X0] :
( ! [X1] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1)
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34938]) ).
fof(f34946,plain,
! [X0] :
( ! [X1] :
( ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),k17_filter_2(X0))
& k19_filter_2(X0,X1) = u1_struct_0(X0) )
| ~ v14_lattices(X0)
| ~ r2_hidden(k6_lattices(X0),X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34705]) ).
fof(f34947,plain,
! [X0] :
( ! [X1] :
( ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),k17_filter_2(X0))
& k19_filter_2(X0,X1) = u1_struct_0(X0) )
| ~ v14_lattices(X0)
| ~ r2_hidden(k6_lattices(X0),X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34946]) ).
fof(f34948,plain,
? [X0] :
( ? [X1] :
( ( ~ r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0))
| u1_struct_0(X0) != X1 )
& v14_lattices(X0)
& r2_hidden(k6_lattices(X0),X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f34707]) ).
fof(f34949,plain,
? [X0] :
( ? [X1] :
( ( ~ r1_filter_2(u1_struct_0(X0),X1,k17_filter_2(X0))
| u1_struct_0(X0) != X1 )
& v14_lattices(X0)
& r2_hidden(k6_lattices(X0),X1)
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f34948]) ).
fof(f34959,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(f34960,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,[],[f34959]) ).
fof(f34973,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(f34974,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,[],[f34973]) ).
fof(f34975,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(f34976,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34975]) ).
fof(f34984,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(ennf_transformation,[],[f679]) ).
fof(f35447,plain,
! [X0,X1,X2] :
( ( ( r1_filter_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_filter_2(X0,X1,X2) ) )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f34762]) ).
fof(f35483,plain,
( ( ~ r1_filter_2(u1_struct_0(sK21),sK22,k17_filter_2(sK21))
| sK22 != u1_struct_0(sK21) )
& v14_lattices(sK21)
& r2_hidden(k6_lattices(sK21),sK22)
& m2_filter_2(sK22,sK21)
& ~ v3_struct_0(sK21)
& v10_lattices(sK21)
& l3_lattices(sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21,sK22]),skolemize(X0,sK21),skolemize(X1,sK22)],[f34949]) ).
fof(f35712,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,[],[f34754]) ).
fof(f35713,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,[],[f34754]) ).
fof(f35715,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X2,X1)
| ~ r1_filter_2(X0,X1,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f34758]) ).
fof(f35717,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ r1_filter_2(X0,X1,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f35447]) ).
fof(f35864,plain,
! [X0] :
( u1_struct_0(X0) = k17_filter_2(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34911]) ).
fof(f35900,plain,
! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34939]) ).
fof(f35905,plain,
! [X0,X1] :
( u1_struct_0(X0) = k19_filter_2(X0,X1)
| ~ v14_lattices(X0)
| ~ r2_hidden(k6_lattices(X0),X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34947]) ).
fof(f35907,plain,
l3_lattices(sK21),
inference(cnf_transformation,[],[f35483]) ).
fof(f35908,plain,
v10_lattices(sK21),
inference(cnf_transformation,[],[f35483]) ).
fof(f35909,plain,
~ v3_struct_0(sK21),
inference(cnf_transformation,[],[f35483]) ).
fof(f35910,plain,
m2_filter_2(sK22,sK21),
inference(cnf_transformation,[],[f35483]) ).
fof(f35911,plain,
r2_hidden(k6_lattices(sK21),sK22),
inference(cnf_transformation,[],[f35483]) ).
fof(f35912,plain,
v14_lattices(sK21),
inference(cnf_transformation,[],[f35483]) ).
fof(f35913,plain,
( ~ r1_filter_2(u1_struct_0(sK21),sK22,k17_filter_2(sK21))
| sK22 != u1_struct_0(sK21) ),
inference(cnf_transformation,[],[f35483]) ).
fof(f35927,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,[],[f34960]) ).
fof(f35941,plain,
! [X0,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(cnf_transformation,[],[f34974]) ).
fof(f35943,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34976]) ).
fof(f35988,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f34984]) ).
fof(f36766,plain,
! [X2,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2)
| sP174(X1) ),
inference(cnf_transformation,[],[f36766_D]) ).
fof(f36766_D,definition,
! [X1] :
( ! [X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) )
<=> ~ sP174(X1) ),
introduced(definition,[new_symbols(definition,[sP174])],[general_splitting_component_introduction]) ).
fof(f36767,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ sP174(X1) ),
inference(general_splitting,[],[f35988,f36766_D]) ).
fof(f36832,definition,
( spl191_1
<=> v3_struct_0(sK21) ),
introduced(definition,[new_symbols(definition,[spl191_1])],[avatar_definition]) ).
fof(f36834,plain,
( ~ v3_struct_0(sK21)
| spl191_1 ),
inference(avatar_component_clause,[],[f36832]) ).
fof(f36835,plain,
~ spl191_1,
inference(avatar_split_clause,[],[f35909,f36832]) ).
fof(f36837,definition,
( spl191_2
<=> sK22 = u1_struct_0(sK21) ),
introduced(definition,[new_symbols(definition,[spl191_2])],[avatar_definition]) ).
fof(f36838,plain,
( sK22 = u1_struct_0(sK21)
| ~ spl191_2 ),
inference(avatar_component_clause,[],[f36837]) ).
fof(f36839,plain,
( sK22 != u1_struct_0(sK21)
| spl191_2 ),
inference(avatar_component_clause,[],[f36837]) ).
fof(f36841,definition,
( spl191_3
<=> r1_filter_2(u1_struct_0(sK21),sK22,k17_filter_2(sK21)) ),
introduced(definition,[new_symbols(definition,[spl191_3])],[avatar_definition]) ).
fof(f36843,plain,
( ~ r1_filter_2(u1_struct_0(sK21),sK22,k17_filter_2(sK21))
| spl191_3 ),
inference(avatar_component_clause,[],[f36841]) ).
fof(f36844,plain,
( ~ spl191_2
| ~ spl191_3 ),
inference(avatar_split_clause,[],[f35913,f36841,f36837]) ).
fof(f36846,definition,
( spl191_4
<=> l3_lattices(sK21) ),
introduced(definition,[new_symbols(definition,[spl191_4])],[avatar_definition]) ).
fof(f36848,plain,
( l3_lattices(sK21)
| ~ spl191_4 ),
inference(avatar_component_clause,[],[f36846]) ).
fof(f36849,plain,
spl191_4,
inference(avatar_split_clause,[],[f35907,f36846]) ).
fof(f36851,definition,
( spl191_5
<=> v10_lattices(sK21) ),
introduced(definition,[new_symbols(definition,[spl191_5])],[avatar_definition]) ).
fof(f36853,plain,
( v10_lattices(sK21)
| ~ spl191_5 ),
inference(avatar_component_clause,[],[f36851]) ).
fof(f36854,plain,
spl191_5,
inference(avatar_split_clause,[],[f35908,f36851]) ).
fof(f36856,definition,
( spl191_6
<=> v14_lattices(sK21) ),
introduced(definition,[new_symbols(definition,[spl191_6])],[avatar_definition]) ).
fof(f36858,plain,
( v14_lattices(sK21)
| ~ spl191_6 ),
inference(avatar_component_clause,[],[f36856]) ).
fof(f36859,plain,
spl191_6,
inference(avatar_split_clause,[],[f35912,f36856]) ).
fof(f36861,definition,
( spl191_7
<=> r2_hidden(k6_lattices(sK21),sK22) ),
introduced(definition,[new_symbols(definition,[spl191_7])],[avatar_definition]) ).
fof(f36863,plain,
( r2_hidden(k6_lattices(sK21),sK22)
| ~ spl191_7 ),
inference(avatar_component_clause,[],[f36861]) ).
fof(f36864,plain,
spl191_7,
inference(avatar_split_clause,[],[f35911,f36861]) ).
fof(f36866,definition,
( spl191_8
<=> m2_filter_2(sK22,sK21) ),
introduced(definition,[new_symbols(definition,[spl191_8])],[avatar_definition]) ).
fof(f36868,plain,
( m2_filter_2(sK22,sK21)
| ~ spl191_8 ),
inference(avatar_component_clause,[],[f36866]) ).
fof(f36869,plain,
spl191_8,
inference(avatar_split_clause,[],[f35910,f36866]) ).
fof(f36870,plain,
( m2_lattice4(sK22,sK21)
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ spl191_8 ),
inference(resolution,[],[f36868,f35712]) ).
fof(f36871,plain,
( ~ v1_xboole_0(sK22)
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ spl191_8 ),
inference(resolution,[],[f36868,f35713]) ).
fof(f36904,plain,
( r1_filter_2(u1_struct_0(sK21),k19_filter_2(sK21,sK22),sK22)
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ spl191_8 ),
inference(resolution,[],[f36868,f35900]) ).
fof(f36907,plain,
( r1_filter_2(u1_struct_0(sK21),k19_filter_2(sK21,sK22),sK22)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl191_1
| ~ spl191_8 ),
inference(forward_subsumption_resolution,[],[f36904,f36834]) ).
fof(f36940,plain,
( ~ v1_xboole_0(sK22)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl191_1
| ~ spl191_8 ),
inference(forward_subsumption_resolution,[],[f36871,f36834]) ).
fof(f36941,plain,
( m2_lattice4(sK22,sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl191_1
| ~ spl191_8 ),
inference(forward_subsumption_resolution,[],[f36870,f36834]) ).
fof(f36943,plain,
( r1_filter_2(u1_struct_0(sK21),k19_filter_2(sK21,sK22),sK22)
| ~ l3_lattices(sK21)
| spl191_1
| ~ spl191_5
| ~ spl191_8 ),
inference(forward_subsumption_resolution,[],[f36907,f36853]) ).
fof(f36976,plain,
( ~ v1_xboole_0(sK22)
| ~ l3_lattices(sK21)
| spl191_1
| ~ spl191_5
| ~ spl191_8 ),
inference(forward_subsumption_resolution,[],[f36940,f36853]) ).
fof(f36977,plain,
( m2_lattice4(sK22,sK21)
| ~ l3_lattices(sK21)
| spl191_1
| ~ spl191_5
| ~ spl191_8 ),
inference(forward_subsumption_resolution,[],[f36941,f36853]) ).
fof(f36979,plain,
( r1_filter_2(u1_struct_0(sK21),k19_filter_2(sK21,sK22),sK22)
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_8 ),
inference(forward_subsumption_resolution,[],[f36943,f36848]) ).
fof(f37012,plain,
( ~ v1_xboole_0(sK22)
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_8 ),
inference(forward_subsumption_resolution,[],[f36976,f36848]) ).
fof(f37013,plain,
( m2_lattice4(sK22,sK21)
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_8 ),
inference(forward_subsumption_resolution,[],[f36977,f36848]) ).
fof(f37163,plain,
( u1_struct_0(sK21) = k17_filter_2(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl191_1 ),
inference(resolution,[],[f36834,f35864]) ).
fof(f37211,plain,
( m1_filter_0(u1_struct_0(sK21),sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl191_1 ),
inference(resolution,[],[f36834,f35943]) ).
fof(f37982,plain,
( m1_filter_0(u1_struct_0(sK21),sK21)
| ~ l3_lattices(sK21)
| spl191_1
| ~ spl191_5 ),
inference(forward_subsumption_resolution,[],[f37211,f36853]) ).
fof(f38030,plain,
( u1_struct_0(sK21) = k17_filter_2(sK21)
| ~ l3_lattices(sK21)
| spl191_1
| ~ spl191_5 ),
inference(forward_subsumption_resolution,[],[f37163,f36853]) ).
fof(f38464,plain,
( m1_filter_0(u1_struct_0(sK21),sK21)
| spl191_1
| ~ spl191_4
| ~ spl191_5 ),
inference(forward_subsumption_resolution,[],[f37982,f36848]) ).
fof(f38512,plain,
( u1_struct_0(sK21) = k17_filter_2(sK21)
| spl191_1
| ~ spl191_4
| ~ spl191_5 ),
inference(forward_subsumption_resolution,[],[f38030,f36848]) ).
fof(f38788,plain,
( u1_struct_0(sK21) = k19_filter_2(sK21,sK22)
| ~ v14_lattices(sK21)
| v1_xboole_0(sK22)
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK21)))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ spl191_7 ),
inference(resolution,[],[f36863,f35905]) ).
fof(f38833,plain,
( ~ sP174(sK22)
| ~ spl191_7 ),
inference(resolution,[],[f36863,f36767]) ).
fof(f38897,plain,
( u1_struct_0(sK21) = k19_filter_2(sK21,sK22)
| v1_xboole_0(sK22)
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK21)))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ spl191_6
| ~ spl191_7 ),
inference(forward_subsumption_resolution,[],[f38788,f36858]) ).
fof(f38930,plain,
( u1_struct_0(sK21) = k19_filter_2(sK21,sK22)
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK21)))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_6
| ~ spl191_7
| ~ spl191_8 ),
inference(forward_subsumption_resolution,[],[f38897,f37012]) ).
fof(f38958,plain,
( u1_struct_0(sK21) = k19_filter_2(sK21,sK22)
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK21)))
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_6
| ~ spl191_7
| ~ spl191_8 ),
inference(forward_subsumption_resolution,[],[f38930,f36834]) ).
fof(f38973,plain,
( u1_struct_0(sK21) = k19_filter_2(sK21,sK22)
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK21)))
| ~ l3_lattices(sK21)
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_6
| ~ spl191_7
| ~ spl191_8 ),
inference(forward_subsumption_resolution,[],[f38958,f36853]) ).
fof(f38977,plain,
( u1_struct_0(sK21) = k19_filter_2(sK21,sK22)
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK21)))
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_6
| ~ spl191_7
| ~ spl191_8 ),
inference(forward_subsumption_resolution,[],[f38973,f36848]) ).
fof(f40417,definition,
( spl191_9
<=> r1_filter_2(u1_struct_0(sK21),k19_filter_2(sK21,sK22),sK22) ),
introduced(definition,[new_symbols(definition,[spl191_9])],[avatar_definition]) ).
fof(f40419,plain,
( r1_filter_2(u1_struct_0(sK21),k19_filter_2(sK21,sK22),sK22)
| ~ spl191_9 ),
inference(avatar_component_clause,[],[f40417]) ).
fof(f40420,plain,
( spl191_9
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_8 ),
inference(avatar_split_clause,[],[f36979,f36866,f36851,f36846,f36832,f40417]) ).
fof(f40423,plain,
( sK22 = k19_filter_2(sK21,sK22)
| v1_xboole_0(u1_struct_0(sK21))
| ~ m1_subset_1(k19_filter_2(sK21,sK22),k1_zfmisc_1(u1_struct_0(sK21)))
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK21)))
| ~ spl191_9 ),
inference(resolution,[],[f40419,f35717]) ).
fof(f40424,plain,
( r1_filter_2(u1_struct_0(sK21),sK22,k19_filter_2(sK21,sK22))
| v1_xboole_0(u1_struct_0(sK21))
| ~ m1_subset_1(k19_filter_2(sK21,sK22),k1_zfmisc_1(u1_struct_0(sK21)))
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK21)))
| ~ spl191_9 ),
inference(resolution,[],[f40419,f35715]) ).
fof(f40545,definition,
( spl191_10
<=> m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK21))) ),
introduced(definition,[new_symbols(definition,[spl191_10])],[avatar_definition]) ).
fof(f40546,plain,
( m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK21)))
| ~ spl191_10 ),
inference(avatar_component_clause,[],[f40545]) ).
fof(f40547,plain,
( ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK21)))
| spl191_10 ),
inference(avatar_component_clause,[],[f40545]) ).
fof(f40666,plain,
( ~ m2_lattice4(sK22,sK21)
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl191_10 ),
inference(resolution,[],[f40547,f35927]) ).
fof(f40719,plain,
( v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_8
| spl191_10 ),
inference(forward_subsumption_resolution,[],[f40666,f37013]) ).
fof(f40741,plain,
( ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_8
| spl191_10 ),
inference(forward_subsumption_resolution,[],[f40719,f36834]) ).
fof(f40763,plain,
( ~ l3_lattices(sK21)
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_8
| spl191_10 ),
inference(forward_subsumption_resolution,[],[f40741,f36853]) ).
fof(f40768,plain,
( $false
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_8
| spl191_10 ),
inference(forward_subsumption_resolution,[],[f40763,f36848]) ).
fof(f40769,plain,
( spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_8
| spl191_10 ),
inference(avatar_contradiction_clause,[],[f40768]) ).
fof(f40772,plain,
( u1_struct_0(sK21) = k19_filter_2(sK21,sK22)
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_6
| ~ spl191_7
| ~ spl191_8
| ~ spl191_10 ),
inference(backward_subsumption_resolution,[],[f38977,f40546]) ).
fof(f40774,plain,
( sK22 = k19_filter_2(sK21,sK22)
| v1_xboole_0(u1_struct_0(sK21))
| ~ m1_subset_1(k19_filter_2(sK21,sK22),k1_zfmisc_1(u1_struct_0(sK21)))
| ~ spl191_9
| ~ spl191_10 ),
inference(backward_subsumption_resolution,[],[f40423,f40546]) ).
fof(f40775,plain,
( r1_filter_2(u1_struct_0(sK21),sK22,k19_filter_2(sK21,sK22))
| v1_xboole_0(u1_struct_0(sK21))
| ~ m1_subset_1(k19_filter_2(sK21,sK22),k1_zfmisc_1(u1_struct_0(sK21)))
| ~ spl191_9
| ~ spl191_10 ),
inference(backward_subsumption_resolution,[],[f40424,f40546]) ).
fof(f40786,plain,
( sK22 = u1_struct_0(sK21)
| v1_xboole_0(u1_struct_0(sK21))
| ~ m1_subset_1(k19_filter_2(sK21,sK22),k1_zfmisc_1(u1_struct_0(sK21)))
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_6
| ~ spl191_7
| ~ spl191_8
| ~ spl191_9
| ~ spl191_10 ),
inference(forward_demodulation,[],[f40774,f40772]) ).
fof(f40787,plain,
( r1_filter_2(u1_struct_0(sK21),sK22,u1_struct_0(sK21))
| v1_xboole_0(u1_struct_0(sK21))
| ~ m1_subset_1(k19_filter_2(sK21,sK22),k1_zfmisc_1(u1_struct_0(sK21)))
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_6
| ~ spl191_7
| ~ spl191_8
| ~ spl191_9
| ~ spl191_10 ),
inference(forward_demodulation,[],[f40775,f40772]) ).
fof(f40790,plain,
( v1_xboole_0(u1_struct_0(sK21))
| ~ m1_subset_1(k19_filter_2(sK21,sK22),k1_zfmisc_1(u1_struct_0(sK21)))
| spl191_1
| spl191_2
| ~ spl191_4
| ~ spl191_5
| ~ spl191_6
| ~ spl191_7
| ~ spl191_8
| ~ spl191_9
| ~ spl191_10 ),
inference(forward_subsumption_resolution,[],[f40786,f36839]) ).
fof(f40791,plain,
( ~ m1_subset_1(u1_struct_0(sK21),k1_zfmisc_1(u1_struct_0(sK21)))
| r1_filter_2(u1_struct_0(sK21),sK22,u1_struct_0(sK21))
| v1_xboole_0(u1_struct_0(sK21))
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_6
| ~ spl191_7
| ~ spl191_8
| ~ spl191_9
| ~ spl191_10 ),
inference(forward_demodulation,[],[f40787,f40772]) ).
fof(f40794,plain,
( ~ m1_subset_1(u1_struct_0(sK21),k1_zfmisc_1(u1_struct_0(sK21)))
| v1_xboole_0(u1_struct_0(sK21))
| spl191_1
| spl191_2
| ~ spl191_4
| ~ spl191_5
| ~ spl191_6
| ~ spl191_7
| ~ spl191_8
| ~ spl191_9
| ~ spl191_10 ),
inference(forward_demodulation,[],[f40790,f40772]) ).
fof(f41035,definition,
( spl191_18
<=> u1_struct_0(sK21) = k17_filter_2(sK21) ),
introduced(definition,[new_symbols(definition,[spl191_18])],[avatar_definition]) ).
fof(f41037,plain,
( u1_struct_0(sK21) = k17_filter_2(sK21)
| ~ spl191_18 ),
inference(avatar_component_clause,[],[f41035]) ).
fof(f41038,plain,
( spl191_18
| spl191_1
| ~ spl191_4
| ~ spl191_5 ),
inference(avatar_split_clause,[],[f38512,f36851,f36846,f36832,f41035]) ).
fof(f41244,plain,
( ~ v1_xboole_0(u1_struct_0(sK21))
| sP174(sK22)
| ~ spl191_10 ),
inference(resolution,[],[f40546,f36766]) ).
fof(f41469,plain,
( ~ v1_xboole_0(u1_struct_0(sK21))
| ~ spl191_7
| ~ spl191_10 ),
inference(forward_subsumption_resolution,[],[f41244,f38833]) ).
fof(f41616,plain,
( ~ m1_subset_1(u1_struct_0(sK21),k1_zfmisc_1(u1_struct_0(sK21)))
| r1_filter_2(u1_struct_0(sK21),sK22,u1_struct_0(sK21))
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_6
| ~ spl191_7
| ~ spl191_8
| ~ spl191_9
| ~ spl191_10 ),
inference(backward_subsumption_resolution,[],[f40791,f41469]) ).
fof(f41618,plain,
( ~ m1_subset_1(u1_struct_0(sK21),k1_zfmisc_1(u1_struct_0(sK21)))
| spl191_1
| spl191_2
| ~ spl191_4
| ~ spl191_5
| ~ spl191_6
| ~ spl191_7
| ~ spl191_8
| ~ spl191_9
| ~ spl191_10 ),
inference(backward_subsumption_resolution,[],[f40794,f41469]) ).
fof(f42998,definition,
( spl191_28
<=> r1_filter_2(u1_struct_0(sK21),sK22,u1_struct_0(sK21)) ),
introduced(definition,[new_symbols(definition,[spl191_28])],[avatar_definition]) ).
fof(f43000,plain,
( r1_filter_2(u1_struct_0(sK21),sK22,u1_struct_0(sK21))
| ~ spl191_28 ),
inference(avatar_component_clause,[],[f42998]) ).
fof(f43002,definition,
( spl191_29
<=> m1_subset_1(u1_struct_0(sK21),k1_zfmisc_1(u1_struct_0(sK21))) ),
introduced(definition,[new_symbols(definition,[spl191_29])],[avatar_definition]) ).
fof(f43004,plain,
( ~ m1_subset_1(u1_struct_0(sK21),k1_zfmisc_1(u1_struct_0(sK21)))
| spl191_29 ),
inference(avatar_component_clause,[],[f43002]) ).
fof(f43005,plain,
( spl191_28
| ~ spl191_29
| spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_6
| ~ spl191_7
| ~ spl191_8
| ~ spl191_9
| ~ spl191_10 ),
inference(avatar_split_clause,[],[f41616,f40545,f40417,f36866,f36861,f36856,f36851,f36846,f36832,f43002,f42998]) ).
fof(f43063,plain,
( ~ spl191_29
| spl191_1
| spl191_2
| ~ spl191_4
| ~ spl191_5
| ~ spl191_6
| ~ spl191_7
| ~ spl191_8
| ~ spl191_9
| ~ spl191_10 ),
inference(avatar_split_clause,[],[f41618,f40545,f40417,f36866,f36861,f36856,f36851,f36846,f36837,f36832,f43002]) ).
fof(f43784,definition,
( spl191_36
<=> m1_filter_0(u1_struct_0(sK21),sK21) ),
introduced(definition,[new_symbols(definition,[spl191_36])],[avatar_definition]) ).
fof(f43786,plain,
( m1_filter_0(u1_struct_0(sK21),sK21)
| ~ spl191_36 ),
inference(avatar_component_clause,[],[f43784]) ).
fof(f43787,plain,
( spl191_36
| spl191_1
| ~ spl191_4
| ~ spl191_5 ),
inference(avatar_split_clause,[],[f38464,f36851,f36846,f36832,f43784]) ).
fof(f43800,plain,
( m1_subset_1(u1_struct_0(sK21),k1_zfmisc_1(u1_struct_0(sK21)))
| v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| ~ spl191_36 ),
inference(resolution,[],[f43786,f35941]) ).
fof(f43893,plain,
( v3_struct_0(sK21)
| ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl191_29
| ~ spl191_36 ),
inference(forward_subsumption_resolution,[],[f43800,f43004]) ).
fof(f43929,plain,
( ~ v10_lattices(sK21)
| ~ l3_lattices(sK21)
| spl191_1
| spl191_29
| ~ spl191_36 ),
inference(forward_subsumption_resolution,[],[f43893,f36834]) ).
fof(f43963,plain,
( ~ l3_lattices(sK21)
| spl191_1
| ~ spl191_5
| spl191_29
| ~ spl191_36 ),
inference(forward_subsumption_resolution,[],[f43929,f36853]) ).
fof(f43983,plain,
( $false
| spl191_1
| ~ spl191_4
| ~ spl191_5
| spl191_29
| ~ spl191_36 ),
inference(forward_subsumption_resolution,[],[f43963,f36848]) ).
fof(f43984,plain,
( spl191_1
| ~ spl191_4
| ~ spl191_5
| spl191_29
| ~ spl191_36 ),
inference(avatar_contradiction_clause,[],[f43983]) ).
fof(f43986,plain,
( ~ r1_filter_2(u1_struct_0(sK21),sK22,u1_struct_0(sK21))
| spl191_3
| ~ spl191_18 ),
inference(forward_demodulation,[],[f36843,f41037]) ).
fof(f43987,plain,
( r1_filter_2(sK22,sK22,sK22)
| ~ spl191_2
| ~ spl191_28 ),
inference(forward_demodulation,[],[f43000,f36838]) ).
fof(f43999,plain,
( ~ r1_filter_2(sK22,sK22,sK22)
| ~ spl191_2
| spl191_3
| ~ spl191_18 ),
inference(forward_demodulation,[],[f43986,f36838]) ).
fof(f44010,plain,
( $false
| ~ spl191_2
| spl191_3
| ~ spl191_18
| ~ spl191_28 ),
inference(forward_subsumption_resolution,[],[f43999,f43987]) ).
fof(f44011,plain,
( ~ spl191_2
| spl191_3
| ~ spl191_18
| ~ spl191_28 ),
inference(avatar_contradiction_clause,[],[f44010]) ).
cnf(s1,plain,
~ spl191_1,
inference(sat_conversion,[],[f36835]) ).
cnf(s2,plain,
( ~ spl191_2
| ~ spl191_3 ),
inference(sat_conversion,[],[f36844]) ).
cnf(s3,plain,
spl191_4,
inference(sat_conversion,[],[f36849]) ).
cnf(s4,plain,
spl191_5,
inference(sat_conversion,[],[f36854]) ).
cnf(s5,plain,
spl191_6,
inference(sat_conversion,[],[f36859]) ).
cnf(s6,plain,
spl191_7,
inference(sat_conversion,[],[f36864]) ).
cnf(s7,plain,
spl191_8,
inference(sat_conversion,[],[f36869]) ).
cnf(s8,plain,
( spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_8
| spl191_9 ),
inference(sat_conversion,[],[f40420]) ).
cnf(s13,plain,
( spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_8
| spl191_10 ),
inference(sat_conversion,[],[f40769]) ).
cnf(s16,plain,
( spl191_1
| ~ spl191_4
| ~ spl191_5
| spl191_18 ),
inference(sat_conversion,[],[f41038]) ).
cnf(s29,plain,
( spl191_1
| ~ spl191_4
| ~ spl191_5
| ~ spl191_6
| ~ spl191_7
| ~ spl191_8
| ~ spl191_9
| ~ spl191_10
| spl191_28
| ~ spl191_29 ),
inference(sat_conversion,[],[f43005]) ).
cnf(s30,plain,
( spl191_1
| spl191_2
| ~ spl191_4
| ~ spl191_5
| ~ spl191_6
| ~ spl191_7
| ~ spl191_8
| ~ spl191_9
| ~ spl191_10
| ~ spl191_29 ),
inference(sat_conversion,[],[f43063]) ).
cnf(s38,plain,
( spl191_1
| ~ spl191_4
| ~ spl191_5
| spl191_36 ),
inference(sat_conversion,[],[f43787]) ).
cnf(s39,plain,
( spl191_1
| ~ spl191_4
| ~ spl191_5
| spl191_29
| ~ spl191_36 ),
inference(sat_conversion,[],[f43984]) ).
cnf(s40,plain,
( ~ spl191_2
| spl191_3
| ~ spl191_18
| ~ spl191_28 ),
inference(sat_conversion,[],[f44011]) ).
cnf(s42,plain,
spl191_36,
inference(rat,[],[s38,s3,s4,s1]) ).
cnf(s49,plain,
spl191_18,
inference(rat,[],[s16,s3,s4,s1]) ).
cnf(s50,plain,
spl191_10,
inference(rat,[],[s13,s3,s7,s4,s1]) ).
cnf(s51,plain,
spl191_9,
inference(rat,[],[s8,s3,s7,s4,s1]) ).
cnf(s52,plain,
spl191_29,
inference(rat,[],[s39,s1,s3,s4,s42]) ).
cnf(s59,plain,
spl191_28,
inference(rat,[],[s29,s52,s50,s1,s3,s7,s6,s5,s4,s51]) ).
cnf(s61,plain,
spl191_2,
inference(rat,[],[s30,s52,s50,s1,s7,s6,s5,s4,s3,s51]) ).
cnf(s63,plain,
spl191_3,
inference(rat,[],[s40,s59,s49,s61]) ).
cnf(s64,plain,
$false,
inference(rat,[],[s2,s63,s61]) ).
fof(f44045,plain,
$false,
inference(avatar_sat_refutation,[],[s64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT313+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 14:34:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.62/4.86 % (3580561)Detected formulas, will run a generic FOF schedule.
% 14.62/4.86 % (3580569)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3194872899:i=109:sd=1:ins=1:gsp=on:ss=axioms_2977 on theBenchmark for (2977ds/109Mi)
% 14.62/4.86 % (3580568)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=628593679:i=141695:sd=1:nm=32:gsp=on:ss=included_2977 on theBenchmark for (2977ds/141695Mi)
% 14.62/4.86 % (3580567)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=370474291:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2977 on theBenchmark for (2977ds/134677Mi)
% 14.62/4.86 % (3580566)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=1221894747:i=141193_2977 on theBenchmark for (2977ds/141193Mi)
% 14.62/4.86 % (3580571)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2404799343:s2a=on:i=139:gtg=position_2977 on theBenchmark for (2977ds/139Mi)
% 14.62/4.86 % (3580570)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2166486815:i=119:av=off:ss=axioms_2977 on theBenchmark for (2977ds/119Mi)
% 14.62/4.86 % (3580569)Instruction limit reached!
% 14.62/4.86 % (3580569)------------------------------
% 14.62/4.86 % (3580569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.62/4.86 % (3580569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.62/4.86 % (3580569)CaDiCaL version: 2.1.3
% 14.62/4.86 % (3580569)Termination reason: Instruction limit
% 14.62/4.86 % (3580569)Termination phase: SInE selection
% 14.62/4.86 % (3580569)Time elapsed: 0.053 s
% 14.62/4.86 % (3580569)Peak memory usage: 136 MB
% 14.62/4.86 % (3580569)Instructions burned: 111 (million)
% 14.62/4.86 % (3580572)dis-21_1_sil=8000:lcm=predicate:random_seed=1155729901:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2977 on theBenchmark for (2977ds/129Mi)
% 14.62/4.86 % (3580571)Instruction limit reached!
% 14.62/4.86 % (3580571)------------------------------
% 14.62/4.86 % (3580571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.62/4.86 % (3580571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.62/4.86 % (3580571)CaDiCaL version: 2.1.3
% 14.62/4.86 % (3580571)Termination reason: Instruction limit
% 14.62/4.86 % (3580571)Termination phase: Property scanning
% 14.62/4.86 % (3580571)Time elapsed: 0.062 s
% 14.62/4.86 % (3580571)Peak memory usage: 136 MB
% 14.62/4.86 % (3580571)Instructions burned: 141 (million)
% 14.62/4.86 % (3580570)Instruction limit reached!
% 14.62/4.86 % (3580570)------------------------------
% 14.62/4.86 % (3580570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.62/4.86 % (3580570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.62/4.86 % (3580570)CaDiCaL version: 2.1.3
% 14.62/4.86 % (3580570)Termination reason: Instruction limit
% 14.62/4.86 % (3580570)Termination phase: SInE selection
% 14.62/4.86 % (3580570)Time elapsed: 0.094 s
% 14.62/4.86 % (3580570)Peak memory usage: 136 MB
% 14.62/4.86 % (3580570)Instructions burned: 120 (million)
% 14.62/4.86 % (3580572)Instruction limit reached!
% 14.62/4.86 % (3580572)------------------------------
% 14.62/4.86 % (3580572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.62/4.86 % (3580572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.62/4.86 % (3580572)CaDiCaL version: 2.1.3
% 14.62/4.86 % (3580572)Termination reason: Instruction limit
% 14.62/4.86 % (3580572)Termination phase: SInE selection
% 14.62/4.86 % (3580572)Time elapsed: 0.098 s
% 14.62/4.86 % (3580572)Peak memory usage: 136 MB
% 14.62/4.86 % (3580572)Instructions burned: 130 (million)
% 14.62/4.86 % (3580580)lrs+10_1_sil=8000:sp=occurrence:random_seed=2540794865:i=285:sd=3:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/285Mi)
% 14.62/4.86 % (3580581)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2944060304:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/157Mi)
% 14.62/4.86 % (3580580)Instruction limit reached!
% 14.62/4.86 % (3580580)------------------------------
% 14.62/4.86 % (3580580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.62/4.86 % (3580580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.62/4.86 % (3580580)CaDiCaL version: 2.1.3
% 14.62/4.86 % (3580580)Termination reason: Instruction limit
% 14.62/4.86 % (3580580)Termination phase: Saturation
% 14.62/4.86 % (3580580)Time elapsed: 0.129 s
% 14.62/4.86 % (3580580)Peak memory usage: 141 MB
% 14.62/4.86 % (3580580)Instructions burned: 288 (million)
% 14.62/4.86 % (3580583)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=749176573:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 14.62/4.86 % (3580582)lrs+1011_1_sil=32000:sp=occurrence:random_seed=157086510:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 14.62/4.86 % (3580581)Instruction limit reached!
% 14.62/4.86 % (3580581)------------------------------
% 14.62/4.86 % (3580581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.62/4.86 % (3580581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.62/4.86 % (3580581)CaDiCaL version: 2.1.3
% 14.62/4.86 % (3580581)Termination reason: Instruction limit
% 14.62/4.86 % (3580581)Termination phase: Property scanning
% 14.62/4.86 % (3580581)Time elapsed: 0.070 s
% 14.62/4.86 % (3580581)Peak memory usage: 136 MB
% 14.62/4.86 % (3580581)Instructions burned: 158 (million)
% 14.62/4.86 % (3580583)Instruction limit reached!
% 14.62/4.86 % (3580583)------------------------------
% 14.62/4.86 % (3580583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.62/4.86 % (3580583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.62/4.86 % (3580583)CaDiCaL version: 2.1.3
% 14.62/4.86 % (3580583)Termination reason: Instruction limit
% 14.62/4.86 % (3580583)Termination phase: Property scanning
% 14.62/4.86 % (3580583)Time elapsed: 0.107 s
% 14.62/4.86 % (3580583)Peak memory usage: 136 MB
% 14.62/4.86 % (3580583)Instructions burned: 248 (million)
% 14.62/4.86 % (3580588)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1154298305:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 14.62/4.86 % (3580589)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3684078277:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 14.62/4.86 % (3580588)Instruction limit reached!
% 14.62/4.86 % (3580588)------------------------------
% 14.62/4.86 % (3580588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.62/4.86 % (3580588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.62/4.86 % (3580588)CaDiCaL version: 2.1.3
% 14.62/4.86 % (3580588)Termination reason: Instruction limit
% 14.62/4.86 % (3580588)Termination phase: SInE selection
% 14.62/4.86 % (3580588)Time elapsed: 0.104 s
% 14.62/4.86 % (3580588)Peak memory usage: 136 MB
% 14.62/4.86 % (3580588)Instructions burned: 295 (million)
% 14.62/4.86 % (3580582)Instruction limit reached!
% 14.62/4.86 % (3580582)------------------------------
% 14.62/4.86 % (3580582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.62/4.86 % (3580582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.62/4.86 % (3580582)CaDiCaL version: 2.1.3
% 14.62/4.86 % (3580582)Termination reason: Instruction limit
% 14.62/4.86 % (3580582)Termination phase: Saturation
% 14.62/4.86 % (3580582)Time elapsed: 0.263 s
% 14.62/4.86 % (3580582)Peak memory usage: 142 MB
% 14.62/4.86 % (3580582)Instructions burned: 326 (million)
% 14.62/4.86 % (3580590)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2573117793:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 14.62/4.86 % (3580593)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2958658126:i=127:av=off:fsr=off:sup=off_2971 on theBenchmark for (2971ds/127Mi)
% 14.62/4.86 % (3580590)Instruction limit reached!
% 14.62/4.86 % (3580590)------------------------------
% 14.62/4.86 % (3580590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.62/4.86 % (3580590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.62/4.86 % (3580590)CaDiCaL version: 2.1.3
% 14.62/4.86 % (3580590)Termination reason: Instruction limit
% 14.62/4.86 % (3580590)Termination phase: SInE selection
% 14.62/4.86 % (3580590)Time elapsed: 0.089 s
% 14.62/4.86 % (3580590)Peak memory usage: 136 MB
% 14.62/4.86 % (3580590)Instructions burned: 114 (million)
% 14.62/4.86 % (3580593)Instruction limit reached!
% 14.62/4.86 % (3580593)------------------------------
% 14.62/4.86 % (3580593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.62/4.86 % (3580593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.62/4.86 % (3580593)CaDiCaL version: 2.1.3
% 14.62/4.86 % (3580593)Termination reason: Instruction limit
% 14.62/4.86 % (3580593)Termination phase: Preprocessing 1
% 14.62/4.86 % (3580593)Time elapsed: 0.057 s
% 14.62/4.86 % (3580593)Peak memory usage: 137 MB
% 14.62/4.86 % (3580593)Instructions burned: 128 (million)
% 14.62/4.86 % (3580594)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=843625389:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2970 on theBenchmark for (2970ds/114Mi)
% 14.62/4.86 % (3580594)Instruction limit reached!
% 14.62/4.86 % (3580594)------------------------------
% 14.62/4.86 % (3580594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.62/4.86 % (3580594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.62/4.86 % (3580594)CaDiCaL version: 2.1.3
% 14.62/4.86 % (3580594)Termination reason: Instruction limit
% 14.62/4.86 % (3580594)Termination phase: Property scanning
% 14.62/4.86 % (3580594)Time elapsed: 0.053 s
% 14.62/4.86 % (3580594)Peak memory usage: 136 MB
% 14.62/4.86 % (3580594)Instructions burned: 116 (million)
% 14.62/4.86 % (3580597)lrs+10_1_sil=8000:sp=occurrence:random_seed=3852422993:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2969 on theBenchmark for (2969ds/907Mi)
% 14.62/4.86 % (3580598)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=755122897:i=437:sd=1:aac=none:ss=included_2969 on theBenchmark for (2969ds/437Mi)
% 14.62/4.86 % (3580600)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1255883067:i=5202:ss=axioms:sgt=16_2968 on theBenchmark for (2968ds/5202Mi)
% 14.62/4.86 % (3580598)Instruction limit reached!
% 14.62/4.86 % (3580598)------------------------------
% 14.62/4.86 % (3580598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.62/4.86 % (3580598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.62/4.86 % (3580598)CaDiCaL version: 2.1.3
% 14.62/4.86 % (3580598)Termination reason: Instruction limit
% 14.62/4.86 % (3580598)Termination phase: Saturation
% 14.62/4.86 % (3580598)Time elapsed: 0.174 s
% 14.62/4.86 % (3580598)Peak memory usage: 143 MB
% 14.62/4.86 % (3580598)Instructions burned: 439 (million)
% 14.62/4.86 % (3580604)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2857214644:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2966 on theBenchmark for (2966ds/134Mi)
% 14.62/4.86 % (3580604)Instruction limit reached!
% 14.62/4.86 % (3580604)------------------------------
% 14.62/4.86 % (3580604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.62/4.86 % (3580604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.62/4.86 % (3580604)CaDiCaL version: 2.1.3
% 14.62/4.86 % (3580604)Termination reason: Instruction limit
% 14.62/4.86 % (3580604)Termination phase: SInE selection
% 14.62/4.86 % (3580604)Time elapsed: 0.098 s
% 14.62/4.86 % (3580604)Peak memory usage: 136 MB
% 14.62/4.86 % (3580604)Instructions burned: 134 (million)
% 14.62/4.86 % (3580597)Instruction limit reached!
% 14.62/4.86 % (3580597)------------------------------
% 14.62/4.86 % (3580597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.62/4.86 % (3580597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.62/4.86 % (3580597)CaDiCaL version: 2.1.3
% 14.62/4.86 % (3580597)Termination reason: Instruction limit
% 14.62/4.86 % (3580597)Termination phase: Property scanning
% 14.62/4.86 % (3580597)Time elapsed: 0.587 s
% 14.62/4.86 % (3580597)Peak memory usage: 157 MB
% 14.62/4.86 % (3580597)Instructions burned: 907 (million)
% 14.62/4.86 % (3580606)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=721932643:st=8:i=592:sd=3:ep=RST:ss=axioms_2963 on theBenchmark for (2963ds/592Mi)
% 14.62/4.86 % (3580568)First to succeed.
% 14.62/4.86 % (3580568)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3580561"
% 14.62/4.86 % (3580607)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1103301294:st=3:i=13193:sd=3:ss=axioms_2962 on theBenchmark for (2962ds/13193Mi)
% 14.62/4.86 % (3580568)Refutation found. Thanks to Tanya!
% 14.62/4.86 % SZS status Theorem for theBenchmark
% 14.62/4.86 % SZS output start Proof for theBenchmark
% See solution above
% 15.68/5.11 % (3580568)------------------------------
% 15.68/5.11 % (3580568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.68/5.11 % (3580568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.68/5.11 % (3580568)CaDiCaL version: 2.1.3
% 15.68/5.11 % (3580568)Termination reason: Refutation
% 15.68/5.11 % (3580568)Time elapsed: 1.457 s
% 15.68/5.11 % (3580568)Peak memory usage: 206 MB
% 15.68/5.11 % (3580568)Instructions burned: 2847 (million)
% 15.68/5.11 % (3580568)------------------------------
% 15.68/5.11 % (3580568)------------------------------
% 15.68/5.11 % (3580561)Success in time 4.025 s
% 15.68/5.11 % Vampire exiting
%------------------------------------------------------------------------------