%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT287+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 11:46:32 AM UTC 2026
% Result : Theorem 6.46s 1.98s
% Output : Refutation 8.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 23
% Syntax : Number of formulae : 168 ( 30 unt; 9 def)
% Number of atoms : 660 ( 52 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 861 ( 369 ~; 397 |; 70 &)
% ( 10 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 7 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 132 ( 0 sgn 130 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_lopclset) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f9,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f14,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(f55,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X0 = X3
& X1 = X4
& X2 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f59,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ( v3_lattices(g3_lattices(X0,X1,X2))
& l3_lattices(g3_lattices(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_g3_lattices) ).
fof(f60,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ( v1_funct_1(k4_lopclset(X0))
& v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_lopclset) ).
fof(f61,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ( v1_funct_1(k5_lopclset(X0))
& v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lopclset) ).
fof(f82,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_subset_1) ).
fof(f83,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lopclset) ).
fof(f86,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ( ~ v3_struct_0(k6_lopclset(X0))
& v10_lattices(k6_lopclset(X0))
& l3_lattices(k6_lopclset(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_lopclset) ).
fof(f91,axiom,
! [X0] :
( ~ v1_xboole_0(k1_zfmisc_1(X0))
& v1_finsub_1(k1_zfmisc_1(X0))
& v3_finsub_1(k1_zfmisc_1(X0))
& v4_finsub_1(k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_finsub_1) ).
fof(f92,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ~ v1_xboole_0(k1_lopclset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lopclset) ).
fof(f95,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_lopclset) ).
fof(f96,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_lopclset) ).
fof(f117,plain,
? [X0] :
( ~ m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f118,plain,
? [X0] :
( ~ m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f117]) ).
fof(f124,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f125,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f124]) ).
fof(f159,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f160,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f159]) ).
fof(f161,plain,
! [X0,X1,X2] :
( ( v3_lattices(g3_lattices(X0,X1,X2))
& l3_lattices(g3_lattices(X0,X1,X2)) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ( v3_lattices(g3_lattices(X0,X1,X2))
& l3_lattices(g3_lattices(X0,X1,X2)) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f161]) ).
fof(f163,plain,
! [X0] :
( ( v1_funct_1(k4_lopclset(X0))
& v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f164,plain,
! [X0] :
( ( v1_funct_1(k4_lopclset(X0))
& v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f163]) ).
fof(f165,plain,
! [X0] :
( ( v1_funct_1(k5_lopclset(X0))
& v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f166,plain,
! [X0] :
( ( v1_funct_1(k5_lopclset(X0))
& v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
& m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f165]) ).
fof(f190,plain,
! [X0,X1] :
( ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) )
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f82]) ).
fof(f191,plain,
! [X0,X1] :
( ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) )
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0] :
( m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f193,plain,
! [X0] :
( m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f192]) ).
fof(f195,plain,
! [X0] :
( ( ~ v3_struct_0(k6_lopclset(X0))
& v10_lattices(k6_lopclset(X0))
& l3_lattices(k6_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f196,plain,
! [X0] :
( ( ~ v3_struct_0(k6_lopclset(X0))
& v10_lattices(k6_lopclset(X0))
& l3_lattices(k6_lopclset(X0)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f195]) ).
fof(f200,plain,
! [X0] :
( ~ v1_xboole_0(k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f201,plain,
! [X0] :
( ~ v1_xboole_0(k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f200]) ).
fof(f205,plain,
! [X0] :
( k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f206,plain,
! [X0] :
( k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f205]) ).
fof(f207,plain,
! [X0] :
( m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f208,plain,
! [X0] :
( m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f207]) ).
fof(f209,plain,
( ~ m1_subset_1(k1_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0)))
& ~ v3_struct_0(sK0)
& v2_pre_topc(sK0)
& l1_pre_topc(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f118]) ).
fof(f216,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,[],[f14]) ).
fof(f238,plain,
! [X0,X1] :
( ! [X2] :
( ( m2_subset_1(X2,X0,X1)
| ~ m1_subset_1(X2,X1) )
& ( m1_subset_1(X2,X1)
| ~ m2_subset_1(X2,X0,X1) ) )
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f191]) ).
fof(f239,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f209]) ).
fof(f240,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f209]) ).
fof(f241,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f209]) ).
fof(f242,plain,
~ m1_subset_1(k1_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0))),
inference(cnf_transformation,[],[f209]) ).
fof(f257,plain,
! [X0] :
( ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f262,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f216]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f349,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| v3_lattices(g3_lattices(X0,X1,X2)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f350,plain,
! [X0] :
( m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f351,plain,
! [X0] :
( v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f352,plain,
! [X0] :
( v1_funct_1(k4_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f353,plain,
! [X0] :
( m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f354,plain,
! [X0] :
( v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f355,plain,
! [X0] :
( v1_funct_1(k5_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f399,plain,
! [X2,X0,X1] :
( ~ m2_subset_1(X2,X0,X1)
| m1_subset_1(X2,X1)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f238]) ).
fof(f401,plain,
! [X0] :
( m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f403,plain,
! [X0] :
( l3_lattices(k6_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f411,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f91]) ).
fof(f412,plain,
! [X0] :
( ~ v1_xboole_0(k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f415,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
inference(cnf_transformation,[],[f206]) ).
fof(f416,plain,
! [X0] :
( m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f418,definition,
sF25 = k1_pre_topc(sK0),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f419,plain,
k1_pre_topc(sK0) = sF25,
inference(reorient_equations,[],[f418]) ).
fof(f420,definition,
sF26 = k6_lopclset(sK0),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f421,plain,
k6_lopclset(sK0) = sF26,
inference(reorient_equations,[],[f420]) ).
fof(f422,definition,
sF27 = u1_struct_0(sF26),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f423,plain,
u1_struct_0(sF26) = sF27,
inference(reorient_equations,[],[f422]) ).
fof(f424,plain,
~ m1_subset_1(sF25,sF27),
inference(definition_folding,[],[f242,f423,f421,f419]) ).
fof(f475,plain,
! [X0] :
( m1_subset_1(k1_pre_topc(X0),k1_lopclset(X0))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(k1_lopclset(X0))
| ~ m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f399,f416]) ).
fof(f478,plain,
! [X0] :
( m1_subset_1(k1_pre_topc(X0),k1_lopclset(X0))
| v1_xboole_0(k1_lopclset(X0))
| ~ m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f475,f411]) ).
fof(f492,plain,
! [X0] :
( m1_subset_1(k1_pre_topc(X0),k1_lopclset(X0))
| ~ m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f478,f412]) ).
fof(f493,plain,
! [X0] :
( m1_subset_1(k1_pre_topc(X0),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f492,f401]) ).
fof(f500,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| k6_lopclset(sK0) = g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)) ),
inference(resolution,[],[f415,f239]) ).
fof(f501,plain,
( ~ v2_pre_topc(sK0)
| k6_lopclset(sK0) = g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)) ),
inference(forward_subsumption_resolution,[],[f500,f241]) ).
fof(f502,plain,
k6_lopclset(sK0) = g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)),
inference(forward_subsumption_resolution,[],[f501,f240]) ).
fof(f503,plain,
sF26 = g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)),
inference(forward_demodulation,[],[f502,f421]) ).
fof(f512,plain,
( l3_lattices(sF26)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(superposition,[],[f403,f421]) ).
fof(f513,plain,
( l3_lattices(sF26)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f512,f241]) ).
fof(f514,plain,
( l3_lattices(sF26)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f513,f240]) ).
fof(f515,plain,
l3_lattices(sF26),
inference(forward_subsumption_resolution,[],[f514,f239]) ).
fof(f525,plain,
! [X0] :
( m1_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f350,f262]) ).
fof(f527,plain,
! [X0] :
( m1_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f353,f262]) ).
fof(f544,definition,
( spl28_11
<=> m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl28_11])],[avatar_definition]) ).
fof(f545,plain,
( m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ spl28_11 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f546,plain,
( ~ m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| spl28_11 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f548,definition,
( spl28_12
<=> v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl28_12])],[avatar_definition]) ).
fof(f549,plain,
( v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ spl28_12 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f550,plain,
( ~ v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| spl28_12 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f552,definition,
( spl28_13
<=> v1_funct_1(k5_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl28_13])],[avatar_definition]) ).
fof(f553,plain,
( v1_funct_1(k5_lopclset(sK0))
| ~ spl28_13 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f554,plain,
( ~ v1_funct_1(k5_lopclset(sK0))
| spl28_13 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f556,definition,
( spl28_14
<=> m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl28_14])],[avatar_definition]) ).
fof(f557,plain,
( m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ spl28_14 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f558,plain,
( ~ m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| spl28_14 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f560,definition,
( spl28_15
<=> v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl28_15])],[avatar_definition]) ).
fof(f561,plain,
( v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ spl28_15 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f562,plain,
( ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| spl28_15 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f564,definition,
( spl28_16
<=> v1_funct_1(k4_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl28_16])],[avatar_definition]) ).
fof(f565,plain,
( v1_funct_1(k4_lopclset(sK0))
| ~ spl28_16 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f566,plain,
( ~ v1_funct_1(k4_lopclset(sK0))
| spl28_16 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f571,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK0)
| spl28_11 ),
inference(resolution,[],[f546,f527]) ).
fof(f572,plain,
( ~ l1_pre_topc(sK0)
| v3_struct_0(sK0)
| spl28_11 ),
inference(forward_subsumption_resolution,[],[f571,f240]) ).
fof(f573,plain,
( v3_struct_0(sK0)
| spl28_11 ),
inference(forward_subsumption_resolution,[],[f572,f239]) ).
fof(f574,plain,
( $false
| spl28_11 ),
inference(forward_subsumption_resolution,[],[f573,f241]) ).
fof(f575,plain,
spl28_11,
inference(avatar_contradiction_clause,[],[f574]) ).
fof(f576,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl28_12 ),
inference(resolution,[],[f550,f354]) ).
fof(f577,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl28_12 ),
inference(forward_subsumption_resolution,[],[f576,f241]) ).
fof(f578,plain,
( ~ l1_pre_topc(sK0)
| spl28_12 ),
inference(forward_subsumption_resolution,[],[f577,f240]) ).
fof(f579,plain,
( $false
| spl28_12 ),
inference(forward_subsumption_resolution,[],[f578,f239]) ).
fof(f580,plain,
spl28_12,
inference(avatar_contradiction_clause,[],[f579]) ).
fof(f587,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF26
| k1_lopclset(sK0) = X0
| ~ v1_funct_1(k4_lopclset(sK0))
| ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_1(k5_lopclset(sK0))
| ~ v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
inference(superposition,[],[f344,f503]) ).
fof(f592,plain,
( ! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_1(k5_lopclset(sK0))
| ~ v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| v3_lattices(g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0))) )
| ~ spl28_11 ),
inference(resolution,[],[f349,f545]) ).
fof(f597,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl28_13 ),
inference(resolution,[],[f355,f554]) ).
fof(f598,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl28_13 ),
inference(forward_subsumption_resolution,[],[f597,f241]) ).
fof(f599,plain,
( ~ l1_pre_topc(sK0)
| spl28_13 ),
inference(forward_subsumption_resolution,[],[f598,f240]) ).
fof(f600,plain,
( $false
| spl28_13 ),
inference(forward_subsumption_resolution,[],[f599,f239]) ).
fof(f601,plain,
spl28_13,
inference(avatar_contradiction_clause,[],[f600]) ).
fof(f603,plain,
( ! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| v3_lattices(g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0))) )
| ~ spl28_11
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f592,f553]) ).
fof(f605,plain,
( ! [X0] :
( ~ m1_relset_1(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_1(X0)
| v3_lattices(g3_lattices(k1_lopclset(sK0),X0,k5_lopclset(sK0))) )
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13 ),
inference(forward_subsumption_resolution,[],[f603,f549]) ).
fof(f615,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_struct_0(sK0)
| spl28_14 ),
inference(resolution,[],[f558,f525]) ).
fof(f616,plain,
( ~ l1_pre_topc(sK0)
| v3_struct_0(sK0)
| spl28_14 ),
inference(forward_subsumption_resolution,[],[f615,f240]) ).
fof(f617,plain,
( v3_struct_0(sK0)
| spl28_14 ),
inference(forward_subsumption_resolution,[],[f616,f239]) ).
fof(f618,plain,
( $false
| spl28_14 ),
inference(forward_subsumption_resolution,[],[f617,f241]) ).
fof(f619,plain,
spl28_14,
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f620,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl28_15 ),
inference(resolution,[],[f562,f351]) ).
fof(f621,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl28_15 ),
inference(forward_subsumption_resolution,[],[f620,f241]) ).
fof(f622,plain,
( ~ l1_pre_topc(sK0)
| spl28_15 ),
inference(forward_subsumption_resolution,[],[f621,f240]) ).
fof(f623,plain,
( $false
| spl28_15 ),
inference(forward_subsumption_resolution,[],[f622,f239]) ).
fof(f624,plain,
spl28_15,
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f649,plain,
( ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_1(k4_lopclset(sK0))
| v3_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)))
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14 ),
inference(resolution,[],[f605,f557]) ).
fof(f657,plain,
( v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl28_16 ),
inference(resolution,[],[f352,f566]) ).
fof(f658,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| spl28_16 ),
inference(forward_subsumption_resolution,[],[f657,f241]) ).
fof(f659,plain,
( ~ l1_pre_topc(sK0)
| spl28_16 ),
inference(forward_subsumption_resolution,[],[f658,f240]) ).
fof(f660,plain,
( $false
| spl28_16 ),
inference(forward_subsumption_resolution,[],[f659,f239]) ).
fof(f661,plain,
spl28_16,
inference(avatar_contradiction_clause,[],[f660]) ).
fof(f663,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF26
| k1_lopclset(sK0) = X0
| ~ v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_1(k5_lopclset(sK0))
| ~ v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) )
| ~ spl28_16 ),
inference(forward_subsumption_resolution,[],[f587,f565]) ).
fof(f667,plain,
( ~ v1_funct_1(k4_lopclset(sK0))
| v3_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)))
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f649,f561]) ).
fof(f669,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF26
| k1_lopclset(sK0) = X0
| ~ m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ v1_funct_1(k5_lopclset(sK0))
| ~ v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) )
| ~ spl28_15
| ~ spl28_16 ),
inference(forward_subsumption_resolution,[],[f663,f561]) ).
fof(f673,plain,
( v3_lattices(g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)))
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(forward_subsumption_resolution,[],[f667,f565]) ).
fof(f675,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF26
| k1_lopclset(sK0) = X0
| ~ v1_funct_1(k5_lopclset(sK0))
| ~ v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) )
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(forward_subsumption_resolution,[],[f669,f557]) ).
fof(f678,plain,
( v3_lattices(sF26)
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(forward_demodulation,[],[f673,f503]) ).
fof(f680,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF26
| k1_lopclset(sK0) = X0
| ~ v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) )
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(forward_subsumption_resolution,[],[f675,f553]) ).
fof(f683,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF26
| k1_lopclset(sK0) = X0
| ~ m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) )
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(forward_subsumption_resolution,[],[f680,f549]) ).
fof(f686,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != sF26
| k1_lopclset(sK0) = X0 )
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(forward_subsumption_resolution,[],[f683,f545]) ).
fof(f688,plain,
( sF26 = g3_lattices(u1_struct_0(sF26),u2_lattices(sF26),u1_lattices(sF26))
| ~ l3_lattices(sF26)
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(resolution,[],[f678,f257]) ).
fof(f689,plain,
( sF26 = g3_lattices(u1_struct_0(sF26),u2_lattices(sF26),u1_lattices(sF26))
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(forward_subsumption_resolution,[],[f688,f515]) ).
fof(f690,plain,
( sF26 = g3_lattices(sF27,u2_lattices(sF26),u1_lattices(sF26))
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(forward_demodulation,[],[f689,f423]) ).
fof(f699,plain,
( sF26 != sF26
| sF27 = k1_lopclset(sK0)
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(superposition,[],[f686,f690]) ).
fof(f700,plain,
( sF27 = k1_lopclset(sK0)
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(trivial_inequality_removal,[],[f699]) ).
fof(f759,plain,
( m1_subset_1(k1_pre_topc(sK0),sF27)
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(superposition,[],[f493,f700]) ).
fof(f764,plain,
( m1_subset_1(k1_pre_topc(sK0),sF27)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(forward_subsumption_resolution,[],[f759,f241]) ).
fof(f785,plain,
( m1_subset_1(k1_pre_topc(sK0),sF27)
| ~ l1_pre_topc(sK0)
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(forward_subsumption_resolution,[],[f764,f240]) ).
fof(f801,plain,
( m1_subset_1(k1_pre_topc(sK0),sF27)
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(forward_subsumption_resolution,[],[f785,f239]) ).
fof(f810,plain,
( m1_subset_1(sF25,sF27)
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(forward_demodulation,[],[f801,f419]) ).
fof(f818,plain,
( $false
| ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(forward_subsumption_resolution,[],[f810,f424]) ).
fof(f819,plain,
( ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(avatar_contradiction_clause,[],[f818]) ).
cnf(s8,plain,
spl28_11,
inference(sat_conversion,[],[f575]) ).
cnf(s9,plain,
spl28_12,
inference(sat_conversion,[],[f580]) ).
cnf(s10,plain,
spl28_13,
inference(sat_conversion,[],[f601]) ).
cnf(s12,plain,
spl28_14,
inference(sat_conversion,[],[f619]) ).
cnf(s13,plain,
spl28_15,
inference(sat_conversion,[],[f624]) ).
cnf(s16,plain,
spl28_16,
inference(sat_conversion,[],[f661]) ).
cnf(s27,plain,
( ~ spl28_11
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| ~ spl28_15
| ~ spl28_16 ),
inference(sat_conversion,[],[f819]) ).
cnf(s31,plain,
~ spl28_11,
inference(rat,[],[s27,s16,s13,s12,s10,s9]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s8,s31]) ).
fof(f820,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT287+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n019.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 14:15:34 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 6.46/1.98 % (3129226)Detected formulas, will run a generic FOF schedule.
% 6.46/1.98 % (3129325)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2585617440:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.46/1.98 % (3129325)Instruction limit reached!
% 6.46/1.98 % (3129325)------------------------------
% 6.46/1.98 % (3129325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.98 % (3129325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.98 % (3129325)CaDiCaL version: 2.1.3
% 6.46/1.98 % (3129325)Termination reason: Instruction limit
% 6.46/1.98 % (3129325)Termination phase: Saturation
% 6.46/1.98 % (3129325)Time elapsed: 0.030 s
% 6.46/1.98 % (3129325)Peak memory usage: 88 MB
% 6.46/1.98 % (3129325)Instructions burned: 121 (million)
% 6.46/1.98 % (3129320)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=232233856:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.46/1.98 % (3129328)dis-21_1_sil=8000:lcm=predicate:random_seed=2383092622: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)
% 6.46/1.98 % (3129326)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4287695889:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.46/1.98 % (3129322)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=2114838250:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.46/1.98 % (3129321)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=853188623:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.46/1.98 % (3129323)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=943039650:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.46/1.98 % (3129323)Refutation not found, incomplete strategy
% 6.46/1.98 % (3129323)------------------------------
% 6.46/1.98 % (3129323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.98 % (3129323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.98 % (3129323)CaDiCaL version: 2.1.3
% 6.46/1.98 % (3129323)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.98 % (3129323)Time elapsed: 0.001 s
% 6.46/1.98 % (3129323)Peak memory usage: 87 MB
% 6.46/1.98 % (3129328)Instruction limit reached!
% 6.46/1.98 % (3129328)------------------------------
% 6.46/1.98 % (3129328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.98 % (3129328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.98 % (3129328)CaDiCaL version: 2.1.3
% 6.46/1.98 % (3129328)Termination reason: Instruction limit
% 6.46/1.98 % (3129328)Termination phase: Saturation
% 6.46/1.98 % (3129328)Time elapsed: 0.070 s
% 6.46/1.98 % (3129328)Peak memory usage: 91 MB
% 6.46/1.98 % (3129328)Instructions burned: 130 (million)
% 6.46/1.98 % (3129326)Instruction limit reached!
% 6.46/1.98 % (3129326)------------------------------
% 6.46/1.98 % (3129326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.98 % (3129326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.98 % (3129326)CaDiCaL version: 2.1.3
% 6.46/1.98 % (3129326)Termination reason: Instruction limit
% 6.46/1.98 % (3129326)Termination phase: Saturation
% 6.46/1.98 % (3129326)Time elapsed: 0.100 s
% 6.46/1.98 % (3129326)Peak memory usage: 90 MB
% 6.46/1.98 % (3129326)Instructions burned: 140 (million)
% 6.46/1.98 % (3129345)lrs+10_1_sil=8000:sp=occurrence:random_seed=3899737602:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.46/1.98 % (3129358)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3345546548:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.46/1.98 % (3129358)Refutation not found, incomplete strategy
% 6.46/1.98 % (3129358)------------------------------
% 6.46/1.98 % (3129358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.98 % (3129358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.98 % (3129358)CaDiCaL version: 2.1.3
% 6.46/1.98 % (3129358)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.98 % (3129358)Time elapsed: 0.002 s
% 6.46/1.98 % (3129358)Peak memory usage: 88 MB
% 6.46/1.98 % (3129358)Instructions burned: 1 (million)
% 6.46/1.98 % (3129323)------------------------------
% 6.46/1.98 % (3129323)------------------------------
% 6.46/1.98 % (3129345)Instruction limit reached!
% 6.46/1.98 % (3129345)------------------------------
% 6.46/1.98 % (3129345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.98 % (3129345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.98 % (3129345)CaDiCaL version: 2.1.3
% 6.46/1.98 % (3129345)Termination reason: Instruction limit
% 6.46/1.98 % (3129345)Termination phase: Saturation
% 6.46/1.98 % (3129345)Time elapsed: 0.102 s
% 6.46/1.98 % (3129345)Peak memory usage: 92 MB
% 6.46/1.98 % (3129345)Instructions burned: 288 (million)
% 6.46/1.98 % (3129373)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3576424413:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.46/1.98 % (3129404)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=558785620:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.46/1.98 % (3129405)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2267557205:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.46/1.98 % (3129405)Refutation not found, incomplete strategy
% 6.46/1.98 % (3129405)------------------------------
% 6.46/1.98 % (3129405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.98 % (3129405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.98 % (3129405)CaDiCaL version: 2.1.3
% 6.46/1.98 % (3129405)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.98 % (3129405)Time elapsed: 0.004 s
% 6.46/1.98 % (3129405)Peak memory usage: 88 MB
% 6.46/1.98 % (3129405)Instructions burned: 5 (million)
% 6.46/1.98 % (3129404)Instruction limit reached!
% 6.46/1.98 % (3129404)------------------------------
% 6.46/1.98 % (3129404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.98 % (3129404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.98 % (3129404)CaDiCaL version: 2.1.3
% 6.46/1.98 % (3129404)Termination reason: Instruction limit
% 6.46/1.98 % (3129404)Termination phase: Saturation
% 6.46/1.98 % (3129404)Time elapsed: 0.075 s
% 6.46/1.98 % (3129404)Peak memory usage: 90 MB
% 6.46/1.98 % (3129404)Instructions burned: 251 (million)
% 6.46/1.98 % (3129358)------------------------------
% 6.46/1.98 % (3129358)------------------------------
% 6.46/1.98 % (3129373)Instruction limit reached!
% 6.46/1.98 % (3129373)------------------------------
% 6.46/1.98 % (3129373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.98 % (3129373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.98 % (3129373)CaDiCaL version: 2.1.3
% 6.46/1.98 % (3129373)Termination reason: Instruction limit
% 6.46/1.98 % (3129373)Termination phase: Saturation
% 6.46/1.98 % (3129373)Time elapsed: 0.234 s
% 6.46/1.98 % (3129373)Peak memory usage: 92 MB
% 6.46/1.98 % (3129373)Instructions burned: 325 (million)
% 6.46/1.98 % (3129408)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4188718475:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.46/1.98 % (3129409)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2223590817:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.46/1.98 % (3129410)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1444117158:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.46/1.98 % (3129405)------------------------------
% 6.46/1.98 % (3129405)------------------------------
% 6.46/1.98 % (3129320)First to succeed.
% 6.46/1.98 % (3129320)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3129226"
% 6.46/1.98 % (3129322)Also succeeded, but the first one will report.
% 6.46/1.98 % (3129409)Also succeeded, but the first one will report.
% 6.46/1.98 % (3129410)Instruction limit reached!
% 6.46/1.98 % (3129410)------------------------------
% 6.46/1.98 % (3129410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.98 % (3129410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.98 % (3129410)CaDiCaL version: 2.1.3
% 6.46/1.98 % (3129410)Termination reason: Instruction limit
% 6.46/1.98 % (3129410)Termination phase: Saturation
% 6.46/1.98 % (3129410)Time elapsed: 0.067 s
% 6.46/1.98 % (3129410)Peak memory usage: 89 MB
% 6.46/1.98 % (3129410)Instructions burned: 128 (million)
% 6.46/1.98 % (3129321)Also succeeded, but the first one will report.
% 6.46/1.98 % (3129414)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1292644433:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.46/1.98 % (3129414)Refutation not found, incomplete strategy
% 6.46/1.98 % (3129414)------------------------------
% 6.46/1.98 % (3129414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.46/1.98 % (3129414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.46/1.98 % (3129414)CaDiCaL version: 2.1.3
% 6.46/1.98 % (3129414)Termination reason: Refutation not found, incomplete strategy
% 6.46/1.98 % (3129414)Time elapsed: 0.002 s
% 6.46/1.98 % (3129414)Peak memory usage: 88 MB
% 6.46/1.98 % (3129414)Instructions burned: 1 (million)
% 6.46/1.98 % (3129415)lrs+10_1_sil=8000:sp=occurrence:random_seed=3245507101:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.46/1.98 % (3129320)Refutation found. Thanks to Tanya!
% 6.46/1.98 % SZS status Theorem for theBenchmark
% 6.46/1.98 % SZS output start Proof for theBenchmark
% See solution above
% 8.34/2.17 % (3129320)------------------------------
% 8.34/2.17 % (3129320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.34/2.17 % (3129320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.34/2.17 % (3129320)CaDiCaL version: 2.1.3
% 8.34/2.17 % (3129320)Termination reason: Refutation
% 8.34/2.17 % (3129320)Time elapsed: 0.668 s
% 8.34/2.17 % (3129320)Peak memory usage: 130 MB
% 8.34/2.17 % (3129320)Instructions burned: 1003 (million)
% 8.34/2.17 % (3129320)------------------------------
% 8.34/2.17 % (3129320)------------------------------
% 8.34/2.17 % (3129226)Success in time 1.088 s
% 8.34/2.17 % Vampire exiting
%------------------------------------------------------------------------------