%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n019.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 11:46:33 AM UTC 2026
% Result : Theorem 1.56s 1.58s
% Output : Refutation 4.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of formulae : 92 ( 18 unt; 2 def)
% Number of atoms : 415 ( 19 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 537 ( 214 ~; 230 |; 72 &)
% ( 6 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 3 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-4 aty)
% Number of variables : 102 ( 0 sgn 96 !; 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,
( v1_filter_0(sK2,sK0)
& ~ r2_hidden(sK2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1))
& r2_hidden(sK1,sK2)
& m1_filter_0(sK2,sK0)
& m1_subset_1(sK1,u1_struct_0(sK0))
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& v17_lattices(sK0)
& ~ v3_realset2(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f113]) ).
fof(f208,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ v1_filter_0(X2,X0)
| ~ r2_hidden(X1,X2) )
& ( ( v1_filter_0(X2,X0)
& r2_hidden(X1,X2) )
| ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1)) ) )
| ~ 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(nnf_transformation,[],[f196]) ).
fof(f222,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ v1_filter_0(X2,X0)
| ~ r2_hidden(X1,X2) )
& ( ( v1_filter_0(X2,X0)
& r2_hidden(X1,X2) )
| ~ r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1)) ) )
| ~ 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,[],[f221]) ).
fof(f223,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f224,plain,
~ v3_realset2(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f225,plain,
v17_lattices(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f226,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f227,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f228,plain,
m1_subset_1(sK1,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f197]) ).
fof(f229,plain,
m1_filter_0(sK2,sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f230,plain,
r2_hidden(sK1,sK2),
inference(cnf_transformation,[],[f197]) ).
fof(f231,plain,
~ r2_hidden(sK2,k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),sK1)),
inference(cnf_transformation,[],[f197]) ).
fof(f232,plain,
v1_filter_0(sK2,sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f298,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f208]) ).
fof(f301,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f336,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f360,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,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(cnf_transformation,[],[f170]) ).
fof(f365,plain,
! [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(cnf_transformation,[],[f178]) ).
fof(f366,plain,
! [X0] :
( v1_funct_2(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(cnf_transformation,[],[f178]) ).
fof(f367,plain,
! [X0] :
( v1_funct_1(k9_lopclset(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| v3_realset2(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f368,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f397,plain,
! [X2,X0,X1] :
( v3_realset2(X0)
| ~ 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)
| r2_hidden(X2,k1_funct_1(k8_lopclset(X0),X1))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f606,plain,
! [X0,X1] :
( v1_xboole_0(u1_struct_0(X0))
| ~ v1_funct_1(k9_lopclset(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_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(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(resolution,[],[f360,f366]) ).
fof(f607,plain,
! [X0,X1] :
( ~ m1_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(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)
| v1_xboole_0(u1_struct_0(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(forward_subsumption_resolution,[],[f606,f367]) ).
fof(f651,plain,
! [X0,X1] :
( ~ v1_filter_0(X0,sK0)
| ~ r2_hidden(X1,X0)
| ~ m1_filter_0(X0,sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ v17_lattices(sK0)
| r2_hidden(X0,k1_funct_1(k8_lopclset(sK0),X1))
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f397,f224]) ).
fof(f654,plain,
! [X0,X1] :
( ~ v1_filter_0(X0,sK0)
| ~ r2_hidden(X1,X0)
| ~ m1_filter_0(X0,sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ v17_lattices(sK0)
| r2_hidden(X0,k1_funct_1(k8_lopclset(sK0),X1))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f651,f227]) ).
fof(f656,plain,
! [X0,X1] :
( ~ v1_filter_0(X0,sK0)
| ~ r2_hidden(X1,X0)
| ~ m1_filter_0(X0,sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| ~ v17_lattices(sK0)
| r2_hidden(X0,k1_funct_1(k8_lopclset(sK0),X1))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f654,f226]) ).
fof(f658,plain,
! [X0,X1] :
( ~ v1_filter_0(X0,sK0)
| ~ r2_hidden(X1,X0)
| ~ m1_filter_0(X0,sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,k1_funct_1(k8_lopclset(sK0),X1))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f656,f225]) ).
fof(f660,plain,
! [X0,X1] :
( ~ v1_filter_0(X0,sK0)
| ~ r2_hidden(X1,X0)
| ~ m1_filter_0(X0,sK0)
| ~ m1_subset_1(X1,u1_struct_0(sK0))
| r2_hidden(X0,k1_funct_1(k8_lopclset(sK0),X1)) ),
inference(forward_subsumption_resolution,[],[f658,f223]) ).
fof(f675,plain,
! [X0] :
( ~ r2_hidden(X0,sK2)
| ~ m1_filter_0(sK2,sK0)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(sK2,k1_funct_1(k8_lopclset(sK0),X0)) ),
inference(resolution,[],[f660,f232]) ).
fof(f681,plain,
! [X0] :
( ~ r2_hidden(X0,sK2)
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| r2_hidden(sK2,k1_funct_1(k8_lopclset(sK0),X0)) ),
inference(forward_subsumption_resolution,[],[f675,f229]) ).
fof(f832,plain,
! [X0,X1] :
( k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1) = k1_funct_1(k9_lopclset(X0),X1)
| v1_xboole_0(u1_struct_0(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)
| ~ m2_relset_1(k9_lopclset(X0),u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0))) ),
inference(resolution,[],[f607,f298]) ).
fof(f833,plain,
! [X0,X1] :
( v3_realset2(X0)
| v1_xboole_0(u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(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)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f832,f365]) ).
fof(f899,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| r2_hidden(sK2,k1_funct_1(k8_lopclset(sK0),sK1)) ),
inference(resolution,[],[f681,f230]) ).
fof(f915,plain,
r2_hidden(sK2,k1_funct_1(k8_lopclset(sK0),sK1)),
inference(forward_subsumption_resolution,[],[f899,f228]) ).
fof(f1297,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ v17_lattices(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)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f833,f224]) ).
fof(f1300,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ v17_lattices(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)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f1297,f227]) ).
fof(f1302,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v17_lattices(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)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f1300,f226]) ).
fof(f1304,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| ~ 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)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f1302,f225]) ).
fof(f1306,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| ~ 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) ),
inference(forward_subsumption_resolution,[],[f1304,f223]) ).
fof(f1316,definition,
( spl22_49
<=> ! [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) ) ),
introduced(definition,[new_symbols(definition,[spl22_49])],[avatar_definition]) ).
fof(f1317,plain,
( ! [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)) )
| ~ spl22_49 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1319,definition,
( spl22_50
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl22_50])],[avatar_definition]) ).
fof(f1321,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl22_50 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f1322,plain,
( spl22_49
| spl22_50 ),
inference(avatar_split_clause,[],[f1306,f1319,f1316]) ).
fof(f1349,plain,
( r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ v17_lattices(sK0)
| v3_realset2(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f915,f361]) ).
fof(f1350,plain,
( r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1))
| ~ v10_lattices(sK0)
| ~ v17_lattices(sK0)
| v3_realset2(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f1349,f227]) ).
fof(f1352,plain,
( r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1))
| ~ v17_lattices(sK0)
| v3_realset2(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f1350,f226]) ).
fof(f1353,plain,
( r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1))
| v3_realset2(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f1352,f225]) ).
fof(f1354,plain,
( r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f1353,f224]) ).
fof(f1355,plain,
r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1)),
inference(forward_subsumption_resolution,[],[f1354,f223]) ).
fof(f1542,plain,
( ~ r2_hidden(sK2,k1_funct_1(k9_lopclset(sK0),sK1))
| ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ spl22_49 ),
inference(superposition,[],[f231,f1317]) ).
fof(f1561,plain,
( ~ m1_subset_1(sK1,u1_struct_0(sK0))
| ~ spl22_49 ),
inference(forward_subsumption_resolution,[],[f1542,f1355]) ).
fof(f1563,plain,
( $false
| ~ spl22_49 ),
inference(forward_subsumption_resolution,[],[f1561,f228]) ).
fof(f1564,plain,
~ spl22_49,
inference(avatar_contradiction_clause,[],[f1563]) ).
fof(f1565,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ spl22_50 ),
inference(resolution,[],[f1321,f336]) ).
fof(f1580,plain,
( ~ l1_struct_0(sK0)
| ~ spl22_50 ),
inference(forward_subsumption_resolution,[],[f1565,f227]) ).
fof(f1593,plain,
( ~ l2_lattices(sK0)
| ~ spl22_50 ),
inference(resolution,[],[f1580,f301]) ).
fof(f1596,plain,
( ~ l3_lattices(sK0)
| ~ spl22_50 ),
inference(resolution,[],[f1593,f368]) ).
fof(f1597,plain,
( $false
| ~ spl22_50 ),
inference(forward_subsumption_resolution,[],[f1596,f223]) ).
fof(f1598,plain,
~ spl22_50,
inference(avatar_contradiction_clause,[],[f1597]) ).
cnf(s51,plain,
( spl22_49
| spl22_50 ),
inference(sat_conversion,[],[f1322]) ).
cnf(s61,plain,
~ spl22_49,
inference(sat_conversion,[],[f1564]) ).
cnf(s63,plain,
~ spl22_50,
inference(sat_conversion,[],[f1598]) ).
cnf(s64,plain,
$false,
inference(rat,[],[s51,s63,s61]) ).
fof(f1599,plain,
$false,
inference(avatar_sat_refutation,[],[s64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT289+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.42 % Computer : n019.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 14:15:03 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.47 Running first-order theorem proving
% 0.18/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.56/1.58 % (3128364)Detected formulas, will run a generic FOF schedule.
% 1.56/1.58 % (3128371)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=3836739820:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.56/1.58 % (3128376)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1146990969:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.56/1.58 % (3128376)First to succeed.
% 1.56/1.58 % (3128376)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3128364"
% 1.56/1.58 % (3128372)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=3927395469:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.56/1.58 % (3128373)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=2542725118:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.56/1.58 % (3128377)dis-21_1_sil=8000:lcm=predicate:random_seed=2831140561:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.56/1.58 % (3128375)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4094843784:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.56/1.58 % (3128374)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3363461580:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.56/1.58 % (3128374)Refutation not found, incomplete strategy
% 1.56/1.58 % (3128374)------------------------------
% 1.56/1.58 % (3128374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.56/1.58 % (3128374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/1.58 % (3128374)CaDiCaL version: 2.1.3
% 1.56/1.58 % (3128374)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.58 % (3128374)Time elapsed: 0.004 s
% 1.56/1.58 % (3128374)Peak memory usage: 88 MB
% 1.56/1.58 % (3128374)Instructions burned: 2 (million)
% 1.56/1.58 % (3128375)Instruction limit reached!
% 1.56/1.58 % (3128375)------------------------------
% 1.56/1.58 % (3128375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.56/1.58 % (3128375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/1.58 % (3128375)CaDiCaL version: 2.1.3
% 1.56/1.58 % (3128375)Termination reason: Instruction limit
% 1.56/1.58 % (3128375)Termination phase: Saturation
% 1.56/1.58 % (3128375)Time elapsed: 0.111 s
% 1.56/1.58 % (3128375)Peak memory usage: 88 MB
% 1.56/1.58 % (3128375)Instructions burned: 120 (million)
% 1.56/1.58 % (3128377)Instruction limit reached!
% 1.56/1.58 % (3128377)------------------------------
% 1.56/1.58 % (3128377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.56/1.58 % (3128377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/1.58 % (3128377)CaDiCaL version: 2.1.3
% 1.56/1.58 % (3128377)Termination reason: Instruction limit
% 1.56/1.58 % (3128377)Termination phase: Saturation
% 1.56/1.58 % (3128377)Time elapsed: 0.114 s
% 1.56/1.58 % (3128377)Peak memory usage: 91 MB
% 1.56/1.58 % (3128377)Instructions burned: 129 (million)
% 1.56/1.58 % (3128376)Refutation found. Thanks to Tanya!
% 1.56/1.58 % SZS status Theorem for theBenchmark
% 1.56/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 4.51/1.84 % (3128376)------------------------------
% 4.51/1.84 % (3128376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.84 % (3128376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.84 % (3128376)CaDiCaL version: 2.1.3
% 4.51/1.84 % (3128376)Termination reason: Refutation
% 4.51/1.84 % (3128376)Time elapsed: 0.042 s
% 4.51/1.84 % (3128376)Peak memory usage: 90 MB
% 4.51/1.84 % (3128376)Instructions burned: 49 (million)
% 4.51/1.84 % (3128376)------------------------------
% 4.51/1.84 % (3128376)------------------------------
% 4.51/1.84 % (3128364)Success in time 0.516 s
% 4.51/1.84 % Vampire exiting
%------------------------------------------------------------------------------