%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT289+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 11:48:13 AM UTC 2026
% Result : Theorem 2.48s 0.95s
% Output : Refutation 2.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 12
% Syntax : Number of formulae : 111 ( 27 unt; 3 def)
% Number of atoms : 438 ( 26 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 527 ( 200 ~; 247 |; 58 &)
% ( 7 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 4 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 107 ( 0 sgn 101 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ~ ( v1_filter_0(X2,X0)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& r2_hidden(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t27_lopclset) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ~ ( v1_filter_0(X2,X0)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& r2_hidden(X1,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f35,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f38,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f52,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f67,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1)
& m1_subset_1(X3,X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f68,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> k9_lopclset(X0) = k8_lopclset(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_lopclset) ).
fof(f74,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> ( v1_funct_1(k9_lopclset(X0))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_lopclset) ).
fof(f75,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f88,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_filter_0(X2,X0)
=> ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
<=> ( v1_filter_0(X2,X0)
& r2_hidden(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_lopclset) ).
fof(f112,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( v1_filter_0(X2,X0)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& r2_hidden(X1,X2)
& m1_filter_0(X2,X0) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f113,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( v1_filter_0(X2,X0)
& ~ r2_hidden(X2,k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1))
& r2_hidden(X1,X2)
& m1_filter_0(X2,X0) )
& m1_subset_1(X1,u1_struct_0(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& ~ v3_realset2(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f112]) ).
fof(f131,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f152,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f153,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f152]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f168,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f167]) ).
fof(f169,plain,
! [X0] :
( k9_lopclset(X0) = k8_lopclset(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f170,plain,
! [X0] :
( k9_lopclset(X0) = k8_lopclset(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f169]) ).
fof(f177,plain,
! [X0] :
( ( v1_funct_1(k9_lopclset(X0))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f178,plain,
! [X0] :
( ( v1_funct_1(k9_lopclset(X0))
& v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
& m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f177]) ).
fof(f179,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
<=> ( v1_filter_0(X2,X0)
& r2_hidden(X1,X2) ) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
<=> ( v1_filter_0(X2,X0)
& r2_hidden(X1,X2) ) )
| ~ m1_filter_0(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f195]) ).
fof(f197,plain,
m1_filter_0(sK2,sK0),
inference(cnf_transformation,[],[f113]) ).
fof(f198,plain,
r2_hidden(sK1,sK2),
inference(cnf_transformation,[],[f113]) ).
fof(f199,plain,
~ r2_hidden(sK2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1)),
inference(cnf_transformation,[],[f113]) ).
fof(f200,plain,
v1_filter_0(sK2,sK0),
inference(cnf_transformation,[],[f113]) ).
fof(f201,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f113]) ).
fof(f202,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f113]) ).
fof(f203,plain,
~ v3_realset2(sK0),
inference(cnf_transformation,[],[f113]) ).
fof(f204,plain,
v17_lattices(sK0),
inference(cnf_transformation,[],[f113]) ).
fof(f205,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f113]) ).
fof(f206,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f113]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f274,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f299,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| v1_xboole_0(X0)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
inference(cnf_transformation,[],[f168]) ).
fof(f324,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k9_lopclset(X0) = k8_lopclset(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f328,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))) ),
inference(cnf_transformation,[],[f178]) ).
fof(f329,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))) ),
inference(cnf_transformation,[],[f178]) ).
fof(f330,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v1_funct_1(k9_lopclset(X0)) ),
inference(cnf_transformation,[],[f178]) ).
fof(f331,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f358,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| v3_realset2(X0)
| ~ v17_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_filter_0(X2,X0)
| ~ r2_hidden(X1,X2)
| ~ v1_filter_0(X2,X0)
| r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1)) ),
inference(cnf_transformation,[],[f196]) ).
fof(f360,plain,
v3_struct_0(sK0),
inference(consistent_polarity_flipping,[],[f206]) ).
fof(f361,plain,
~ v10_lattices(sK0),
inference(consistent_polarity_flipping,[],[f205]) ).
fof(f362,plain,
v3_realset2(sK0),
inference(consistent_polarity_flipping,[],[f203]) ).
fof(f363,plain,
~ m1_subset_1(sK1,u1_struct_0(sK0)),
inference(consistent_polarity_flipping,[],[f201]) ).
fof(f364,plain,
r2_hidden(sK2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1)),
inference(consistent_polarity_flipping,[],[f199]) ).
fof(f365,plain,
~ r2_hidden(sK1,sK2),
inference(consistent_polarity_flipping,[],[f198]) ).
fof(f366,plain,
~ m1_filter_0(sK2,sK0),
inference(consistent_polarity_flipping,[],[f197]) ).
fof(f409,plain,
! [X0] :
( ~ l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f274]) ).
fof(f429,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ v3_struct_0(X0)
| l1_struct_0(X0) ),
inference(consistent_polarity_flipping,[],[f299]) ).
fof(f447,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| m1_subset_1(X3,X0)
| v1_funct_1(X2)
| v1_xboole_0(X0)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
inference(consistent_polarity_flipping,[],[f323]) ).
fof(f448,plain,
! [X0] :
( ~ v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v10_lattices(X0)
| ~ v3_struct_0(X0)
| k9_lopclset(X0) = k8_lopclset(X0) ),
inference(consistent_polarity_flipping,[],[f324]) ).
fof(f452,plain,
! [X0] :
( ~ v1_funct_1(k9_lopclset(X0))
| ~ v3_realset2(X0)
| ~ v17_lattices(X0)
| v10_lattices(X0)
| ~ v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f330]) ).
fof(f453,plain,
! [X0] :
( v1_funct_2(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ v3_realset2(X0)
| ~ v17_lattices(X0)
| v10_lattices(X0)
| ~ v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f329]) ).
fof(f454,plain,
! [X0] :
( m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ v3_realset2(X0)
| ~ v17_lattices(X0)
| v10_lattices(X0)
| ~ v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f328]) ).
fof(f474,plain,
! [X2,X0,X1] :
( ~ v3_realset2(X0)
| ~ l3_lattices(X0)
| ~ v17_lattices(X0)
| v10_lattices(X0)
| ~ v3_struct_0(X0)
| m1_subset_1(X1,u1_struct_0(X0))
| m1_filter_0(X2,X0)
| r2_hidden(X1,X2)
| ~ v1_filter_0(X2,X0)
| ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1)) ),
inference(consistent_polarity_flipping,[],[f358]) ).
fof(f481,plain,
l2_lattices(sK0),
inference(resolution,[],[f331,f202]) ).
fof(f676,definition,
( spl22_10
<=> l1_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl22_10])],[avatar_definition]) ).
fof(f677,plain,
( ~ l1_struct_0(sK0)
| spl22_10 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f678,plain,
( l1_struct_0(sK0)
| ~ spl22_10 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f710,plain,
( ~ l2_lattices(sK0)
| ~ spl22_10 ),
inference(resolution,[],[f678,f409]) ).
fof(f712,plain,
( $false
| ~ spl22_10 ),
inference(forward_subsumption_resolution,[],[f710,f481]) ).
fof(f713,plain,
~ spl22_10,
inference(avatar_contradiction_clause,[],[f712]) ).
fof(f776,plain,
( ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| v10_lattices(sK0)
| ~ v3_struct_0(sK0)
| k9_lopclset(sK0) = k8_lopclset(sK0) ),
inference(resolution,[],[f448,f362]) ).
fof(f779,plain,
( ~ v17_lattices(sK0)
| v10_lattices(sK0)
| ~ v3_struct_0(sK0)
| k9_lopclset(sK0) = k8_lopclset(sK0) ),
inference(forward_subsumption_resolution,[],[f776,f202]) ).
fof(f781,plain,
( v10_lattices(sK0)
| ~ v3_struct_0(sK0)
| k9_lopclset(sK0) = k8_lopclset(sK0) ),
inference(forward_subsumption_resolution,[],[f779,f204]) ).
fof(f783,plain,
( ~ v3_struct_0(sK0)
| k9_lopclset(sK0) = k8_lopclset(sK0) ),
inference(forward_subsumption_resolution,[],[f781,f361]) ).
fof(f785,plain,
k9_lopclset(sK0) = k8_lopclset(sK0),
inference(forward_subsumption_resolution,[],[f783,f360]) ).
fof(f826,plain,
! [X0] :
( m1_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| ~ v17_lattices(X0)
| v10_lattices(X0)
| ~ v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v3_realset2(X0) ),
inference(resolution,[],[f454,f272]) ).
fof(f888,plain,
! [X0,X1] :
( ~ m1_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| m1_subset_1(X1,u1_struct_0(X0))
| v1_funct_1(k9_lopclset(X0))
| v1_xboole_0(u1_struct_0(X0))
| k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1) = k1_funct_1(k9_lopclset(X0),X1)
| ~ v3_realset2(X0)
| ~ v17_lattices(X0)
| v10_lattices(X0)
| ~ v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f447,f453]) ).
fof(f889,plain,
! [X0,X1] :
( ~ m1_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)))
| m1_subset_1(X1,u1_struct_0(X0))
| v1_xboole_0(u1_struct_0(X0))
| k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1) = k1_funct_1(k9_lopclset(X0),X1)
| ~ v3_realset2(X0)
| ~ v17_lattices(X0)
| v10_lattices(X0)
| ~ v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f888,f452]) ).
fof(f944,plain,
! [X0,X1] :
( ~ l3_lattices(sK0)
| ~ v17_lattices(sK0)
| v10_lattices(sK0)
| ~ v3_struct_0(sK0)
| m1_subset_1(X0,u1_struct_0(sK0))
| m1_filter_0(X1,sK0)
| r2_hidden(X0,X1)
| ~ v1_filter_0(X1,sK0)
| ~ r2_hidden(X1,k1_funct_1(k8_lopclset(sK0),X0)) ),
inference(resolution,[],[f474,f362]) ).
fof(f947,plain,
! [X0,X1] :
( ~ v17_lattices(sK0)
| v10_lattices(sK0)
| ~ v3_struct_0(sK0)
| m1_subset_1(X0,u1_struct_0(sK0))
| m1_filter_0(X1,sK0)
| r2_hidden(X0,X1)
| ~ v1_filter_0(X1,sK0)
| ~ r2_hidden(X1,k1_funct_1(k8_lopclset(sK0),X0)) ),
inference(forward_subsumption_resolution,[],[f944,f202]) ).
fof(f949,plain,
! [X0,X1] :
( v10_lattices(sK0)
| ~ v3_struct_0(sK0)
| m1_subset_1(X0,u1_struct_0(sK0))
| m1_filter_0(X1,sK0)
| r2_hidden(X0,X1)
| ~ v1_filter_0(X1,sK0)
| ~ r2_hidden(X1,k1_funct_1(k8_lopclset(sK0),X0)) ),
inference(forward_subsumption_resolution,[],[f947,f204]) ).
fof(f951,plain,
! [X0,X1] :
( ~ v3_struct_0(sK0)
| m1_subset_1(X0,u1_struct_0(sK0))
| m1_filter_0(X1,sK0)
| r2_hidden(X0,X1)
| ~ v1_filter_0(X1,sK0)
| ~ r2_hidden(X1,k1_funct_1(k8_lopclset(sK0),X0)) ),
inference(forward_subsumption_resolution,[],[f949,f361]) ).
fof(f953,plain,
! [X0,X1] :
( m1_subset_1(X0,u1_struct_0(sK0))
| m1_filter_0(X1,sK0)
| r2_hidden(X0,X1)
| ~ v1_filter_0(X1,sK0)
| ~ r2_hidden(X1,k1_funct_1(k8_lopclset(sK0),X0)) ),
inference(forward_subsumption_resolution,[],[f951,f360]) ).
fof(f954,plain,
! [X0,X1] :
( ~ v1_filter_0(X1,sK0)
| m1_subset_1(X0,u1_struct_0(sK0))
| m1_filter_0(X1,sK0)
| r2_hidden(X0,X1)
| ~ r2_hidden(X1,k1_funct_1(k9_lopclset(sK0),X0)) ),
inference(forward_demodulation,[],[f953,f785]) ).
fof(f999,plain,
! [X0] :
( m1_subset_1(X0,u1_struct_0(sK0))
| m1_filter_0(sK2,sK0)
| r2_hidden(X0,sK2)
| ~ r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),X0)) ),
inference(resolution,[],[f954,f200]) ).
fof(f1002,plain,
! [X0] :
( ~ r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),X0))
| r2_hidden(X0,sK2)
| m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f999,f366]) ).
fof(f1493,definition,
( spl22_54
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_54])],[avatar_definition]) ).
fof(f1495,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl22_54 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f1562,plain,
! [X0,X1] :
( ~ v3_realset2(X0)
| v1_xboole_0(u1_struct_0(X0))
| k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1) = k1_funct_1(k9_lopclset(X0),X1)
| m1_subset_1(X1,u1_struct_0(X0))
| ~ v17_lattices(X0)
| v10_lattices(X0)
| ~ v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f889,f826]) ).
fof(f1563,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| k1_funct_1(k9_lopclset(sK0),X0) = k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X0)
| m1_subset_1(X0,u1_struct_0(sK0))
| ~ v17_lattices(sK0)
| v10_lattices(sK0)
| ~ v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f1562,f362]) ).
fof(f1566,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| k1_funct_1(k9_lopclset(sK0),X0) = k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X0)
| m1_subset_1(X0,u1_struct_0(sK0))
| v10_lattices(sK0)
| ~ v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f1563,f204]) ).
fof(f1568,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| k1_funct_1(k9_lopclset(sK0),X0) = k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X0)
| m1_subset_1(X0,u1_struct_0(sK0))
| ~ v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f1566,f361]) ).
fof(f1570,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| k1_funct_1(k9_lopclset(sK0),X0) = k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X0)
| m1_subset_1(X0,u1_struct_0(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f1568,f360]) ).
fof(f1572,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| k1_funct_1(k9_lopclset(sK0),X0) = k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X0)
| m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1570,f202]) ).
fof(f1578,definition,
( spl22_59
<=> ! [X0] :
( k1_funct_1(k9_lopclset(sK0),X0) = k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X0)
| m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl22_59])],[avatar_definition]) ).
fof(f1579,plain,
( ! [X0] :
( m1_subset_1(X0,u1_struct_0(sK0))
| k1_funct_1(k9_lopclset(sK0),X0) = k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),X0) )
| ~ spl22_59 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f1580,plain,
( spl22_59
| spl22_54 ),
inference(avatar_split_clause,[],[f1572,f1493,f1578]) ).
fof(f1581,plain,
( ~ v3_struct_0(sK0)
| l1_struct_0(sK0)
| ~ spl22_54 ),
inference(resolution,[],[f1495,f429]) ).
fof(f1590,plain,
( l1_struct_0(sK0)
| ~ spl22_54 ),
inference(forward_subsumption_resolution,[],[f1581,f360]) ).
fof(f1591,plain,
( $false
| spl22_10
| ~ spl22_54 ),
inference(forward_subsumption_resolution,[],[f1590,f677]) ).
fof(f1592,plain,
( spl22_10
| ~ spl22_54 ),
inference(avatar_contradiction_clause,[],[f1591]) ).
fof(f1713,plain,
( k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1) = k1_funct_1(k9_lopclset(sK0),sK1)
| ~ spl22_59 ),
inference(resolution,[],[f1579,f363]) ).
fof(f9251,plain,
( r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1))
| ~ spl22_59 ),
inference(superposition,[],[f364,f1713]) ).
fof(f17538,plain,
( r2_hidden(sK1,sK2)
| m1_subset_1(sK1,u1_struct_0(sK0))
| ~ spl22_59 ),
inference(resolution,[],[f9251,f1002]) ).
fof(f17542,plain,
( m1_subset_1(sK1,u1_struct_0(sK0))
| ~ spl22_59 ),
inference(forward_subsumption_resolution,[],[f17538,f365]) ).
fof(f17543,plain,
( $false
| ~ spl22_59 ),
inference(forward_subsumption_resolution,[],[f17542,f363]) ).
fof(f17544,plain,
~ spl22_59,
inference(avatar_contradiction_clause,[],[f17543]) ).
cnf(s11,plain,
~ spl22_10,
inference(sat_conversion,[],[f713]) ).
cnf(s79,plain,
( spl22_54
| spl22_59 ),
inference(sat_conversion,[],[f1580]) ).
cnf(s81,plain,
( spl22_10
| ~ spl22_54 ),
inference(sat_conversion,[],[f1592]) ).
cnf(s1029,plain,
~ spl22_59,
inference(sat_conversion,[],[f17544]) ).
cnf(s1127,plain,
spl22_54,
inference(rat,[],[s79,s1029]) ).
cnf(s1128,plain,
spl22_10,
inference(rat,[],[s81,s1127]) ).
cnf(s1175,plain,
$false,
inference(rat,[],[s11,s1128]) ).
fof(f17545,plain,
$false,
inference(avatar_sat_refutation,[],[s1175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT289+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.42 % Computer : n011.cluster.edu
% 0.18/0.42 % Model : x86_64 x86_64
% 0.18/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.42 % Memory : 8046.5625MB
% 0.18/0.42 % OS : Linux 6.8.0-71-generic
% 0.18/0.42 % CPULimit : 300
% 0.18/0.42 % WCLimit : 300
% 0.18/0.42 % DateTime : Sun Sep 27 14:14:45 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.48 Running first-order model finding
% 0.24/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.48/0.95 % (2456794)Will run a generic schedule for satisfiability detection.
% 2.48/0.95 % (2456800)% WARNING: option uhcvi not known.
% 2.48/0.95 % (2456800)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1431018688:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.48/0.95 % (2456805)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2487508562:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.48/0.95 % (2456801)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1747153085:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.48/0.95 % (2456799)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2817690984_2999 on theBenchmark for (2999ds/0Mi)
% 2.48/0.95 % (2456802)dis+10_1_sil=32000:sp=arity:random_seed=655579416:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.48/0.95 % (2456804)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2623010762:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.48/0.95 % (2456803)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3532942739:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.48/0.95 % TRYING [1]
% 2.48/0.95 % TRYING [2]
% 2.48/0.95 % TRYING [3]
% 2.48/0.95 % TRYING [4]
% 2.48/0.95 % TRYING [5]
% 2.48/0.95 % (2456802)Instruction limit reached!
% 2.48/0.95 % (2456802)------------------------------
% 2.48/0.95 % (2456802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.95 % (2456802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.95 % (2456802)CaDiCaL version: 2.1.3
% 2.48/0.95 % (2456802)Termination reason: Instruction limit
% 2.48/0.95 % (2456802)Termination phase: Saturation
% 2.48/0.95 % (2456802)Time elapsed: 0.103 s
% 2.48/0.95 % (2456802)Peak memory usage: 12 MB
% 2.48/0.95 % (2456802)Instructions burned: 104 (million)
% 2.48/0.95 % (2456803)Instruction limit reached!
% 2.48/0.95 % (2456803)------------------------------
% 2.48/0.95 % (2456803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.95 % (2456803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.95 % (2456803)CaDiCaL version: 2.1.3
% 2.48/0.95 % (2456803)Termination reason: Instruction limit
% 2.48/0.95 % (2456803)Termination phase: Saturation
% 2.48/0.95 % (2456803)Time elapsed: 0.117 s
% 2.48/0.95 % (2456803)Peak memory usage: 13 MB
% 2.48/0.95 % (2456803)Instructions burned: 116 (million)
% 2.48/0.95 % (2456804)Instruction limit reached!
% 2.48/0.95 % (2456804)------------------------------
% 2.48/0.95 % (2456804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.95 % (2456804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.95 % (2456804)CaDiCaL version: 2.1.3
% 2.48/0.95 % (2456804)Termination reason: Instruction limit
% 2.48/0.95 % (2456804)Termination phase: Saturation
% 2.48/0.95 % (2456804)Time elapsed: 0.129 s
% 2.48/0.95 % (2456804)Peak memory usage: 13 MB
% 2.48/0.95 % (2456804)Instructions burned: 131 (million)
% 2.48/0.95 % (2456813)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=775872416:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.48/0.95 % TRYING [6]
% 2.48/0.95 % TRYING [1]
% 2.48/0.95 % TRYING [2]
% 2.48/0.95 % (2456814)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=918430458:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.48/0.95 % TRYING [3]
% 2.48/0.95 % (2456815)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1226974606:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.48/0.95 % (2456805)Instruction limit reached!
% 2.48/0.95 % (2456805)------------------------------
% 2.48/0.95 % (2456805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.95 % (2456805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.95 % (2456805)CaDiCaL version: 2.1.3
% 2.48/0.95 % (2456805)Termination reason: Instruction limit
% 2.48/0.95 % (2456805)Termination phase: Saturation
% 2.48/0.95 % (2456805)Time elapsed: 0.165 s
% 2.48/0.95 % (2456805)Peak memory usage: 14 MB
% 2.48/0.95 % (2456805)Instructions burned: 159 (million)
% 2.48/0.95 % TRYING [4]
% 2.48/0.95 % (2456819)ott-21_1_sil=16000:fs=off:random_seed=2547103458:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.48/0.95 % TRYING [5]
% 2.48/0.95 % (2456814)Instruction limit reached!
% 2.48/0.95 % (2456814)------------------------------
% 2.48/0.95 % (2456814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.95 % (2456814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.95 % (2456814)CaDiCaL version: 2.1.3
% 2.48/0.95 % (2456814)Termination reason: Instruction limit
% 2.48/0.95 % (2456814)Termination phase: Saturation
% 2.48/0.95 % (2456814)Time elapsed: 0.137 s
% 2.48/0.95 % (2456814)Peak memory usage: 13 MB
% 2.48/0.95 % (2456814)Instructions burned: 131 (million)
% 2.48/0.95 % TRYING [6]
% 2.48/0.95 % (2456821)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3552709815:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 2.48/0.95 % TRYING [7]
% 2.48/0.95 % (2456819)Instruction limit reached!
% 2.48/0.95 % (2456819)------------------------------
% 2.48/0.95 % (2456819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.95 % (2456819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.95 % (2456819)CaDiCaL version: 2.1.3
% 2.48/0.95 % (2456819)Termination reason: Instruction limit
% 2.48/0.95 % (2456819)Termination phase: Saturation
% 2.48/0.95 % (2456819)Time elapsed: 0.175 s
% 2.48/0.95 % (2456819)Peak memory usage: 13 MB
% 2.48/0.95 % (2456819)Instructions burned: 180 (million)
% 2.48/0.95 % (2456823)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1102867314:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 2.48/0.95 % (2456800) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2456794-2456800"...
% 2.48/0.95 % (2456800)...printing done.
% 2.48/0.95 % TRYING [1]
% 2.48/0.95 % (2456800)Refutation found. Thanks to Tanya!
% 2.48/0.95 % SZS status Theorem for theBenchmark
% 2.48/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 2.48/0.96 % (2456800)------------------------------
% 2.48/0.96 % (2456800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.48/0.96 % (2456800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.48/0.96 % (2456800)CaDiCaL version: 2.1.3
% 2.48/0.96 % (2456800)Termination reason: Refutation
% 2.48/0.96 % (2456800)Time elapsed: 0.434 s
% 2.48/0.96 % (2456800)Peak memory usage: 19 MB
% 2.48/0.96 % (2456800)Instructions burned: 885 (million)
% 2.48/0.96 % (2456794)Success in time 0.466 s
% 2.48/0.96 % Vampire exiting
%------------------------------------------------------------------------------