%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT286+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 : 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 11:48:12 AM UTC 2026
% Result : Theorem 2.26s 0.87s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 27
% Syntax : Number of formulae : 199 ( 32 unt; 11 def)
% Number of atoms : 650 ( 42 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 747 ( 296 ~; 354 |; 65 &)
% ( 15 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 12 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-3 aty)
% Number of variables : 155 ( 0 sgn 153 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_lopclset) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> m1_subset_1(k2_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(f50,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f53,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(f57,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(f58,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(f59,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(f73,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
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(f96,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(f97,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_lopclset) ).
fof(f118,plain,
? [X0] :
( ~ m1_subset_1(k2_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(f119,plain,
? [X0] :
( ~ m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f118]) ).
fof(f125,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(f126,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f125]) ).
fof(f152,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f50]) ).
fof(f156,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,[],[f53]) ).
fof(f157,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,[],[f156]) ).
fof(f158,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,[],[f57]) ).
fof(f159,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,[],[f158]) ).
fof(f160,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,[],[f58]) ).
fof(f161,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,[],[f160]) ).
fof(f162,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,[],[f59]) ).
fof(f163,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,[],[f162]) ).
fof(f182,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f183,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f182]) ).
fof(f192,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(f193,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,[],[f192]) ).
fof(f194,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(f195,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,[],[f194]) ).
fof(f197,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(f198,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,[],[f197]) ).
fof(f202,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(f203,plain,
! [X0] :
( ~ v1_xboole_0(k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f202]) ).
fof(f209,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,[],[f96]) ).
fof(f210,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,[],[f209]) ).
fof(f211,plain,
! [X0] :
( m2_subset_1(k2_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,[],[f97]) ).
fof(f212,plain,
! [X0] :
( m2_subset_1(k2_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,[],[f211]) ).
fof(f213,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f119]) ).
fof(f214,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f119]) ).
fof(f215,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f119]) ).
fof(f216,plain,
~ m1_subset_1(k2_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0))),
inference(cnf_transformation,[],[f119]) ).
fof(f230,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f126]) ).
fof(f236,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f302,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f307,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3 ),
inference(cnf_transformation,[],[f157]) ).
fof(f312,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v3_lattices(g3_lattices(X0,X1,X2)) ),
inference(cnf_transformation,[],[f159]) ).
fof(f313,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f161]) ).
fof(f314,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f161]) ).
fof(f315,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_funct_1(k4_lopclset(X0)) ),
inference(cnf_transformation,[],[f161]) ).
fof(f316,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f317,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f318,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| v1_funct_1(k5_lopclset(X0)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f347,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f362,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X1)
| v1_xboole_0(X0)
| m1_subset_1(X2,X1)
| ~ m2_subset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
fof(f363,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v3_struct_0(X0)
| m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(cnf_transformation,[],[f195]) ).
fof(f365,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| l3_lattices(k6_lopclset(X0)) ),
inference(cnf_transformation,[],[f198]) ).
fof(f373,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f91]) ).
fof(f374,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f203]) ).
fof(f378,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
inference(cnf_transformation,[],[f210]) ).
fof(f379,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
inference(cnf_transformation,[],[f212]) ).
fof(f381,plain,
m1_subset_1(k2_pre_topc(sK0),u1_struct_0(k6_lopclset(sK0))),
inference(consistent_polarity_flipping,[],[f216]) ).
fof(f382,plain,
v3_struct_0(sK0),
inference(consistent_polarity_flipping,[],[f215]) ).
fof(f383,plain,
~ l1_pre_topc(sK0),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f394,plain,
! [X0] :
( v3_lattices(X0)
| ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(consistent_polarity_flipping,[],[f230]) ).
fof(f396,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f236]) ).
fof(f449,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(consistent_polarity_flipping,[],[f302]) ).
fof(f452,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| v1_funct_1(X2)
| m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| v1_funct_1(X1)
| m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| X0 = X3 ),
inference(consistent_polarity_flipping,[],[f307]) ).
fof(f456,plain,
! [X2,X0,X1] :
( ~ v3_lattices(g3_lattices(X0,X1,X2))
| v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| v1_funct_1(X2)
| m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| v1_funct_1(X1)
| m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(consistent_polarity_flipping,[],[f312]) ).
fof(f458,plain,
! [X0] :
( ~ v1_funct_1(k4_lopclset(X0))
| ~ v2_pre_topc(X0)
| ~ v3_struct_0(X0)
| l1_pre_topc(X0) ),
inference(consistent_polarity_flipping,[],[f315]) ).
fof(f459,plain,
! [X0] :
( ~ v1_funct_2(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v2_pre_topc(X0)
| ~ v3_struct_0(X0)
| l1_pre_topc(X0) ),
inference(consistent_polarity_flipping,[],[f314]) ).
fof(f460,plain,
! [X0] :
( m2_relset_1(k4_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v2_pre_topc(X0)
| ~ v3_struct_0(X0)
| l1_pre_topc(X0) ),
inference(consistent_polarity_flipping,[],[f313]) ).
fof(f461,plain,
! [X0] :
( ~ v1_funct_1(k5_lopclset(X0))
| ~ v2_pre_topc(X0)
| ~ v3_struct_0(X0)
| l1_pre_topc(X0) ),
inference(consistent_polarity_flipping,[],[f318]) ).
fof(f462,plain,
! [X0] :
( ~ v1_funct_2(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v2_pre_topc(X0)
| ~ v3_struct_0(X0)
| l1_pre_topc(X0) ),
inference(consistent_polarity_flipping,[],[f317]) ).
fof(f463,plain,
! [X0] :
( m2_relset_1(k5_lopclset(X0),k2_zfmisc_1(k1_lopclset(X0),k1_lopclset(X0)),k1_lopclset(X0))
| ~ v2_pre_topc(X0)
| ~ v3_struct_0(X0)
| l1_pre_topc(X0) ),
inference(consistent_polarity_flipping,[],[f316]) ).
fof(f489,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| m1_subset_1(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(consistent_polarity_flipping,[],[f347]) ).
fof(f501,plain,
! [X2,X0,X1] :
( m2_subset_1(X2,X0,X1)
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ m1_subset_1(X2,X1)
| m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(consistent_polarity_flipping,[],[f362]) ).
fof(f503,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(consistent_polarity_flipping,[],[f363]) ).
fof(f507,plain,
! [X0] :
( ~ v2_pre_topc(X0)
| l1_pre_topc(X0)
| ~ v3_struct_0(X0)
| l3_lattices(k6_lopclset(X0)) ),
inference(consistent_polarity_flipping,[],[f365]) ).
fof(f510,plain,
! [X0] : v1_xboole_0(k1_zfmisc_1(X0)),
inference(consistent_polarity_flipping,[],[f373]) ).
fof(f513,plain,
! [X0] :
( v1_xboole_0(k1_lopclset(X0))
| ~ v2_pre_topc(X0)
| ~ v3_struct_0(X0)
| l1_pre_topc(X0) ),
inference(consistent_polarity_flipping,[],[f374]) ).
fof(f517,plain,
! [X0] :
( ~ v2_pre_topc(X0)
| l1_pre_topc(X0)
| ~ v3_struct_0(X0)
| k6_lopclset(X0) = g3_lattices(k1_lopclset(X0),k4_lopclset(X0),k5_lopclset(X0)) ),
inference(consistent_polarity_flipping,[],[f378]) ).
fof(f518,plain,
! [X0] :
( ~ m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| ~ v2_pre_topc(X0)
| ~ v3_struct_0(X0)
| l1_pre_topc(X0) ),
inference(consistent_polarity_flipping,[],[f379]) ).
fof(f575,plain,
( l1_pre_topc(sK0)
| ~ v3_struct_0(sK0)
| l3_lattices(k6_lopclset(sK0)) ),
inference(resolution,[],[f507,f214]) ).
fof(f576,plain,
( ~ v3_struct_0(sK0)
| l3_lattices(k6_lopclset(sK0)) ),
inference(forward_subsumption_resolution,[],[f575,f383]) ).
fof(f577,plain,
l3_lattices(k6_lopclset(sK0)),
inference(forward_subsumption_resolution,[],[f576,f382]) ).
fof(f630,definition,
( spl25_3
<=> v1_xboole_0(k1_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_3])],[avatar_definition]) ).
fof(f631,plain,
( v1_xboole_0(k1_lopclset(sK0))
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f632,plain,
( ~ v1_xboole_0(k1_lopclset(sK0))
| spl25_3 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f637,plain,
( ~ v2_pre_topc(sK0)
| ~ v3_struct_0(sK0)
| l1_pre_topc(sK0)
| spl25_3 ),
inference(resolution,[],[f632,f513]) ).
fof(f641,plain,
( ~ v3_struct_0(sK0)
| l1_pre_topc(sK0)
| spl25_3 ),
inference(forward_subsumption_resolution,[],[f637,f214]) ).
fof(f642,plain,
( l1_pre_topc(sK0)
| spl25_3 ),
inference(forward_subsumption_resolution,[],[f641,f382]) ).
fof(f643,plain,
( $false
| spl25_3 ),
inference(forward_subsumption_resolution,[],[f642,f383]) ).
fof(f644,plain,
spl25_3,
inference(avatar_contradiction_clause,[],[f643]) ).
fof(f647,plain,
! [X0] :
( ~ v1_xboole_0(k1_lopclset(X0))
| ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(k2_pre_topc(X0),k1_lopclset(X0))
| m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v2_pre_topc(X0)
| ~ v3_struct_0(X0)
| l1_pre_topc(X0) ),
inference(resolution,[],[f501,f518]) ).
fof(f649,plain,
! [X0] :
( ~ v1_xboole_0(k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(k2_pre_topc(X0),k1_lopclset(X0))
| m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v2_pre_topc(X0)
| ~ v3_struct_0(X0)
| l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f647,f513]) ).
fof(f650,plain,
! [X0] :
( ~ m1_subset_1(k2_pre_topc(X0),k1_lopclset(X0))
| m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ v2_pre_topc(X0)
| ~ v3_struct_0(X0)
| l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f649,f510]) ).
fof(f651,plain,
! [X0] :
( ~ m1_subset_1(k2_pre_topc(X0),k1_lopclset(X0))
| ~ v2_pre_topc(X0)
| ~ v3_struct_0(X0)
| l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f650,f503]) ).
fof(f723,plain,
( l1_pre_topc(sK0)
| ~ v3_struct_0(sK0)
| k6_lopclset(sK0) = g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)) ),
inference(resolution,[],[f517,f214]) ).
fof(f724,plain,
( ~ v3_struct_0(sK0)
| k6_lopclset(sK0) = g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)) ),
inference(forward_subsumption_resolution,[],[f723,f383]) ).
fof(f725,plain,
k6_lopclset(sK0) = g3_lattices(k1_lopclset(sK0),k4_lopclset(sK0),k5_lopclset(sK0)),
inference(forward_subsumption_resolution,[],[f724,f382]) ).
fof(f801,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k6_lopclset(sK0)
| v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| v1_funct_1(k5_lopclset(sK0))
| m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| v1_funct_1(k4_lopclset(sK0))
| m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| k1_lopclset(sK0) = X0 ),
inference(superposition,[],[f452,f725]) ).
fof(f807,plain,
( ~ v3_lattices(k6_lopclset(sK0))
| v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| v1_funct_1(k5_lopclset(sK0))
| m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| v1_funct_1(k4_lopclset(sK0))
| m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
inference(superposition,[],[f456,f725]) ).
fof(f809,definition,
( spl25_14
<=> m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_14])],[avatar_definition]) ).
fof(f811,plain,
( m1_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ spl25_14 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f813,definition,
( spl25_15
<=> v1_funct_1(k4_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_15])],[avatar_definition]) ).
fof(f815,plain,
( v1_funct_1(k4_lopclset(sK0))
| ~ spl25_15 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f817,definition,
( spl25_16
<=> v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_16])],[avatar_definition]) ).
fof(f819,plain,
( v1_funct_2(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ spl25_16 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f821,definition,
( spl25_17
<=> m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_17])],[avatar_definition]) ).
fof(f823,plain,
( m1_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ spl25_17 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f825,definition,
( spl25_18
<=> v1_funct_1(k5_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_18])],[avatar_definition]) ).
fof(f827,plain,
( v1_funct_1(k5_lopclset(sK0))
| ~ spl25_18 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f829,definition,
( spl25_19
<=> v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_19])],[avatar_definition]) ).
fof(f831,plain,
( v1_funct_2(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ spl25_19 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f833,definition,
( spl25_20
<=> v3_lattices(k6_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_20])],[avatar_definition]) ).
fof(f835,plain,
( ~ v3_lattices(k6_lopclset(sK0))
| spl25_20 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f836,plain,
( spl25_14
| spl25_15
| spl25_16
| spl25_17
| spl25_18
| spl25_19
| ~ spl25_20 ),
inference(avatar_split_clause,[],[f807,f833,f829,f825,f821,f817,f813,f809]) ).
fof(f846,definition,
( spl25_23
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k6_lopclset(sK0)
| k1_lopclset(sK0) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl25_23])],[avatar_definition]) ).
fof(f847,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k6_lopclset(sK0)
| k1_lopclset(sK0) = X0 )
| ~ spl25_23 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f848,plain,
( spl25_14
| spl25_15
| spl25_16
| spl25_17
| spl25_18
| spl25_19
| spl25_23 ),
inference(avatar_split_clause,[],[f801,f846,f829,f825,f821,f817,f813,f809]) ).
fof(f1025,plain,
( ~ m2_relset_1(k5_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ spl25_14 ),
inference(resolution,[],[f811,f396]) ).
fof(f1028,plain,
( ~ v2_pre_topc(sK0)
| ~ v3_struct_0(sK0)
| l1_pre_topc(sK0)
| ~ spl25_14 ),
inference(resolution,[],[f1025,f463]) ).
fof(f1030,plain,
( ~ v3_struct_0(sK0)
| l1_pre_topc(sK0)
| ~ spl25_14 ),
inference(forward_subsumption_resolution,[],[f1028,f214]) ).
fof(f1031,plain,
( l1_pre_topc(sK0)
| ~ spl25_14 ),
inference(forward_subsumption_resolution,[],[f1030,f382]) ).
fof(f1032,plain,
( $false
| ~ spl25_14 ),
inference(forward_subsumption_resolution,[],[f1031,f383]) ).
fof(f1033,plain,
~ spl25_14,
inference(avatar_contradiction_clause,[],[f1032]) ).
fof(f1034,plain,
( ~ v2_pre_topc(sK0)
| ~ v3_struct_0(sK0)
| l1_pre_topc(sK0)
| ~ spl25_15 ),
inference(resolution,[],[f815,f458]) ).
fof(f1035,plain,
( ~ v3_struct_0(sK0)
| l1_pre_topc(sK0)
| ~ spl25_15 ),
inference(forward_subsumption_resolution,[],[f1034,f214]) ).
fof(f1036,plain,
( l1_pre_topc(sK0)
| ~ spl25_15 ),
inference(forward_subsumption_resolution,[],[f1035,f382]) ).
fof(f1037,plain,
( $false
| ~ spl25_15 ),
inference(forward_subsumption_resolution,[],[f1036,f383]) ).
fof(f1038,plain,
~ spl25_15,
inference(avatar_contradiction_clause,[],[f1037]) ).
fof(f1954,plain,
( ~ v2_pre_topc(sK0)
| ~ v3_struct_0(sK0)
| l1_pre_topc(sK0)
| ~ spl25_18 ),
inference(resolution,[],[f827,f461]) ).
fof(f1955,plain,
( ~ v3_struct_0(sK0)
| l1_pre_topc(sK0)
| ~ spl25_18 ),
inference(forward_subsumption_resolution,[],[f1954,f214]) ).
fof(f1956,plain,
( l1_pre_topc(sK0)
| ~ spl25_18 ),
inference(forward_subsumption_resolution,[],[f1955,f382]) ).
fof(f1957,plain,
( $false
| ~ spl25_18 ),
inference(forward_subsumption_resolution,[],[f1956,f383]) ).
fof(f1958,plain,
~ spl25_18,
inference(avatar_contradiction_clause,[],[f1957]) ).
fof(f1959,plain,
( ~ v2_pre_topc(sK0)
| ~ v3_struct_0(sK0)
| l1_pre_topc(sK0)
| ~ spl25_16 ),
inference(resolution,[],[f819,f459]) ).
fof(f1960,plain,
( ~ v3_struct_0(sK0)
| l1_pre_topc(sK0)
| ~ spl25_16 ),
inference(forward_subsumption_resolution,[],[f1959,f214]) ).
fof(f1961,plain,
( l1_pre_topc(sK0)
| ~ spl25_16 ),
inference(forward_subsumption_resolution,[],[f1960,f382]) ).
fof(f1962,plain,
( $false
| ~ spl25_16 ),
inference(forward_subsumption_resolution,[],[f1961,f383]) ).
fof(f1963,plain,
~ spl25_16,
inference(avatar_contradiction_clause,[],[f1962]) ).
fof(f1964,plain,
( ~ v2_pre_topc(sK0)
| ~ v3_struct_0(sK0)
| l1_pre_topc(sK0)
| ~ spl25_19 ),
inference(resolution,[],[f831,f462]) ).
fof(f1965,plain,
( ~ v3_struct_0(sK0)
| l1_pre_topc(sK0)
| ~ spl25_19 ),
inference(forward_subsumption_resolution,[],[f1964,f214]) ).
fof(f1966,plain,
( l1_pre_topc(sK0)
| ~ spl25_19 ),
inference(forward_subsumption_resolution,[],[f1965,f382]) ).
fof(f1967,plain,
( $false
| ~ spl25_19 ),
inference(forward_subsumption_resolution,[],[f1966,f383]) ).
fof(f1968,plain,
~ spl25_19,
inference(avatar_contradiction_clause,[],[f1967]) ).
fof(f1987,definition,
( spl25_133
<=> r2_hidden(k2_pre_topc(sK0),k1_lopclset(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_133])],[avatar_definition]) ).
fof(f1988,plain,
( r2_hidden(k2_pre_topc(sK0),k1_lopclset(sK0))
| ~ spl25_133 ),
inference(avatar_component_clause,[],[f1987]) ).
fof(f1989,plain,
( ~ r2_hidden(k2_pre_topc(sK0),k1_lopclset(sK0))
| spl25_133 ),
inference(avatar_component_clause,[],[f1987]) ).
fof(f1996,plain,
( m1_subset_1(k2_pre_topc(sK0),k1_lopclset(sK0))
| ~ v1_xboole_0(k1_lopclset(sK0))
| spl25_133 ),
inference(resolution,[],[f1989,f489]) ).
fof(f1997,plain,
( m1_subset_1(k2_pre_topc(sK0),k1_lopclset(sK0))
| ~ spl25_3
| spl25_133 ),
inference(forward_subsumption_resolution,[],[f1996,f631]) ).
fof(f1998,plain,
( ~ v2_pre_topc(sK0)
| ~ v3_struct_0(sK0)
| l1_pre_topc(sK0)
| ~ spl25_3
| spl25_133 ),
inference(resolution,[],[f1997,f651]) ).
fof(f2000,plain,
( ~ v3_struct_0(sK0)
| l1_pre_topc(sK0)
| ~ spl25_3
| spl25_133 ),
inference(forward_subsumption_resolution,[],[f1998,f214]) ).
fof(f2001,plain,
( l1_pre_topc(sK0)
| ~ spl25_3
| spl25_133 ),
inference(forward_subsumption_resolution,[],[f2000,f382]) ).
fof(f2002,plain,
( $false
| ~ spl25_3
| spl25_133 ),
inference(forward_subsumption_resolution,[],[f2001,f383]) ).
fof(f2003,plain,
( ~ spl25_3
| spl25_133 ),
inference(avatar_contradiction_clause,[],[f2002]) ).
fof(f2010,plain,
( ~ m2_relset_1(k4_lopclset(sK0),k2_zfmisc_1(k1_lopclset(sK0),k1_lopclset(sK0)),k1_lopclset(sK0))
| ~ spl25_17 ),
inference(resolution,[],[f823,f396]) ).
fof(f2363,plain,
( ~ m1_subset_1(k2_pre_topc(sK0),k1_lopclset(sK0))
| ~ spl25_133 ),
inference(resolution,[],[f1988,f449]) ).
fof(f8967,plain,
( ~ v2_pre_topc(sK0)
| ~ v3_struct_0(sK0)
| l1_pre_topc(sK0)
| ~ spl25_17 ),
inference(resolution,[],[f2010,f460]) ).
fof(f8969,plain,
( ~ v3_struct_0(sK0)
| l1_pre_topc(sK0)
| ~ spl25_17 ),
inference(forward_subsumption_resolution,[],[f8967,f214]) ).
fof(f8970,plain,
( l1_pre_topc(sK0)
| ~ spl25_17 ),
inference(forward_subsumption_resolution,[],[f8969,f382]) ).
fof(f8971,plain,
( $false
| ~ spl25_17 ),
inference(forward_subsumption_resolution,[],[f8970,f383]) ).
fof(f8972,plain,
~ spl25_17,
inference(avatar_contradiction_clause,[],[f8971]) ).
fof(f9027,plain,
( ~ l3_lattices(k6_lopclset(sK0))
| k6_lopclset(sK0) = g3_lattices(u1_struct_0(k6_lopclset(sK0)),u2_lattices(k6_lopclset(sK0)),u1_lattices(k6_lopclset(sK0)))
| spl25_20 ),
inference(resolution,[],[f835,f394]) ).
fof(f9028,plain,
( k6_lopclset(sK0) = g3_lattices(u1_struct_0(k6_lopclset(sK0)),u2_lattices(k6_lopclset(sK0)),u1_lattices(k6_lopclset(sK0)))
| spl25_20 ),
inference(forward_subsumption_resolution,[],[f9027,f577]) ).
fof(f9298,plain,
( k6_lopclset(sK0) != k6_lopclset(sK0)
| u1_struct_0(k6_lopclset(sK0)) = k1_lopclset(sK0)
| spl25_20
| ~ spl25_23 ),
inference(superposition,[],[f847,f9028]) ).
fof(f9314,plain,
( u1_struct_0(k6_lopclset(sK0)) = k1_lopclset(sK0)
| spl25_20
| ~ spl25_23 ),
inference(trivial_inequality_removal,[],[f9298]) ).
fof(f9355,definition,
( spl25_536
<=> u1_struct_0(k6_lopclset(sK0)) = k1_lopclset(sK0) ),
introduced(definition,[new_symbols(definition,[spl25_536])],[avatar_definition]) ).
fof(f9357,plain,
( u1_struct_0(k6_lopclset(sK0)) = k1_lopclset(sK0)
| ~ spl25_536 ),
inference(avatar_component_clause,[],[f9355]) ).
fof(f9379,plain,
( spl25_536
| spl25_20
| ~ spl25_23 ),
inference(avatar_split_clause,[],[f9314,f846,f833,f9355]) ).
fof(f9594,plain,
( m1_subset_1(k2_pre_topc(sK0),k1_lopclset(sK0))
| ~ spl25_536 ),
inference(superposition,[],[f381,f9357]) ).
fof(f9633,plain,
( $false
| ~ spl25_133
| ~ spl25_536 ),
inference(forward_subsumption_resolution,[],[f9594,f2363]) ).
fof(f9634,plain,
( ~ spl25_133
| ~ spl25_536 ),
inference(avatar_contradiction_clause,[],[f9633]) ).
cnf(s3,plain,
spl25_3,
inference(sat_conversion,[],[f644]) ).
cnf(s10,plain,
( spl25_14
| spl25_15
| spl25_16
| spl25_17
| spl25_18
| spl25_19
| ~ spl25_20 ),
inference(sat_conversion,[],[f836]) ).
cnf(s13,plain,
( spl25_14
| spl25_15
| spl25_16
| spl25_17
| spl25_18
| spl25_19
| spl25_23 ),
inference(sat_conversion,[],[f848]) ).
cnf(s26,plain,
~ spl25_14,
inference(sat_conversion,[],[f1033]) ).
cnf(s27,plain,
~ spl25_15,
inference(sat_conversion,[],[f1038]) ).
cnf(s98,plain,
~ spl25_18,
inference(sat_conversion,[],[f1958]) ).
cnf(s99,plain,
~ spl25_16,
inference(sat_conversion,[],[f1963]) ).
cnf(s100,plain,
~ spl25_19,
inference(sat_conversion,[],[f1968]) ).
cnf(s103,plain,
( ~ spl25_3
| spl25_133 ),
inference(sat_conversion,[],[f2003]) ).
cnf(s579,plain,
~ spl25_17,
inference(sat_conversion,[],[f8972]) ).
cnf(s628,plain,
( spl25_20
| ~ spl25_23
| spl25_536 ),
inference(sat_conversion,[],[f9379]) ).
cnf(s647,plain,
( ~ spl25_133
| ~ spl25_536 ),
inference(sat_conversion,[],[f9634]) ).
cnf(s706,plain,
spl25_23,
inference(rat,[],[s13,s100,s98,s579,s99,s27,s26]) ).
cnf(s709,plain,
~ spl25_20,
inference(rat,[],[s10,s100,s98,s579,s99,s27,s26]) ).
cnf(s712,plain,
spl25_536,
inference(rat,[],[s628,s706,s709]) ).
cnf(s713,plain,
~ spl25_133,
inference(rat,[],[s647,s712]) ).
cnf(s714,plain,
~ spl25_3,
inference(rat,[],[s103,s713]) ).
cnf(s715,plain,
$false,
inference(rat,[],[s3,s714]) ).
fof(f9647,plain,
$false,
inference(avatar_sat_refutation,[],[s715]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT286+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 14:15:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.39 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
% 2.26/0.87 % (3130055)Will run a generic schedule for satisfiability detection.
% 2.26/0.87 % (3130065)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4141956480:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.26/0.87 % (3130061)% WARNING: option uhcvi not known.
% 2.26/0.87 % (3130060)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=435816145_2999 on theBenchmark for (2999ds/0Mi)
% 2.26/0.87 % (3130062)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4247311272:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.26/0.87 % (3130063)dis+10_1_sil=32000:sp=arity:random_seed=4213400475:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.26/0.87 % (3130064)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=658716061:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.26/0.87 % (3130066)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3288404870:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.26/0.87 % (3130061)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3539066043:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.26/0.87 % TRYING [1]
% 2.26/0.87 % TRYING [2]
% 2.26/0.87 % TRYING [3]
% 2.26/0.87 % TRYING [4]
% 2.26/0.87 % (3130065)Instruction limit reached!
% 2.26/0.87 % (3130065)------------------------------
% 2.26/0.87 % (3130065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.87 % (3130065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.87 % (3130065)CaDiCaL version: 2.1.3
% 2.26/0.87 % (3130065)Termination reason: Instruction limit
% 2.26/0.87 % (3130065)Termination phase: Saturation
% 2.26/0.87 % (3130065)Time elapsed: 0.045 s
% 2.26/0.87 % (3130065)Peak memory usage: 13 MB
% 2.26/0.87 % (3130065)Instructions burned: 131 (million)
% 2.26/0.87 % TRYING [5]
% 2.26/0.87 % (3130074)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2732464537:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.26/0.87 % TRYING [1]
% 2.26/0.87 % TRYING [2]
% 2.26/0.87 % TRYING [3]
% 2.26/0.87 % TRYING [4]
% 2.26/0.87 % (3130063)Instruction limit reached!
% 2.26/0.87 % (3130063)------------------------------
% 2.26/0.87 % (3130063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.87 % (3130063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.87 % (3130063)CaDiCaL version: 2.1.3
% 2.26/0.87 % (3130063)Termination reason: Instruction limit
% 2.26/0.87 % (3130063)Termination phase: Saturation
% 2.26/0.87 % (3130063)Time elapsed: 0.066 s
% 2.26/0.87 % (3130063)Peak memory usage: 12 MB
% 2.26/0.87 % (3130063)Instructions burned: 104 (million)
% 2.26/0.87 % (3130064)Instruction limit reached!
% 2.26/0.87 % (3130064)------------------------------
% 2.26/0.87 % (3130064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.87 % (3130064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.87 % (3130064)CaDiCaL version: 2.1.3
% 2.26/0.87 % (3130064)Termination reason: Instruction limit
% 2.26/0.87 % (3130064)Termination phase: Saturation
% 2.26/0.87 % (3130064)Time elapsed: 0.076 s
% 2.26/0.87 % (3130064)Peak memory usage: 13 MB
% 2.26/0.87 % (3130064)Instructions burned: 117 (million)
% 2.26/0.87 % (3130076)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1384630320:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.26/0.87 % (3130077)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=1006956125:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.26/0.87 % TRYING [6]
% 2.26/0.87 % (3130066)Instruction limit reached!
% 2.26/0.87 % (3130066)------------------------------
% 2.26/0.87 % (3130066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.87 % (3130066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.87 % (3130066)CaDiCaL version: 2.1.3
% 2.26/0.87 % (3130066)Termination reason: Instruction limit
% 2.26/0.87 % (3130066)Termination phase: Saturation
% 2.26/0.87 % (3130066)Time elapsed: 0.103 s
% 2.26/0.87 % (3130066)Peak memory usage: 14 MB
% 2.26/0.87 % (3130066)Instructions burned: 159 (million)
% 2.26/0.87 % TRYING [5]
% 2.26/0.87 % (3130080)ott-21_1_sil=16000:fs=off:random_seed=1846018100:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.26/0.87 % (3130076)Instruction limit reached!
% 2.26/0.87 % (3130076)------------------------------
% 2.26/0.87 % (3130076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.87 % (3130076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.87 % (3130076)CaDiCaL version: 2.1.3
% 2.26/0.87 % (3130076)Termination reason: Instruction limit
% 2.26/0.87 % (3130076)Termination phase: Saturation
% 2.26/0.87 % (3130076)Time elapsed: 0.085 s
% 2.26/0.87 % (3130076)Peak memory usage: 13 MB
% 2.26/0.87 % (3130076)Instructions burned: 132 (million)
% 2.26/0.87 % (3130074)Instruction limit reached!
% 2.26/0.87 % (3130074)------------------------------
% 2.26/0.87 % (3130074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.87 % (3130074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.87 % (3130074)CaDiCaL version: 2.1.3
% 2.26/0.87 % (3130074)Termination reason: Instruction limit
% 2.26/0.87 % (3130074)Termination phase: Finite model building constraint generation
% 2.26/0.87 % (3130074)Time elapsed: 0.134 s
% 2.26/0.87 % (3130074)Peak memory usage: 30 MB
% 2.26/0.87 % (3130074)Instructions burned: 718 (million)
% 2.26/0.87 % (3130082)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1054620535:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.26/0.87 % (3130083)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2886593907:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.26/0.87 % TRYING [1]
% 2.26/0.87 % TRYING [2]
% 2.26/0.87 % TRYING [3]
% 2.26/0.87 % TRYING [4]
% 2.26/0.87 % (3130080)Instruction limit reached!
% 2.26/0.87 % (3130080)------------------------------
% 2.26/0.87 % (3130080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.87 % (3130080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.87 % (3130080)CaDiCaL version: 2.1.3
% 2.26/0.87 % (3130080)Termination reason: Instruction limit
% 2.26/0.87 % (3130080)Termination phase: Saturation
% 2.26/0.87 % (3130080)Time elapsed: 0.098 s
% 2.26/0.87 % (3130080)Peak memory usage: 13 MB
% 2.26/0.87 % (3130080)Instructions burned: 181 (million)
% 2.26/0.87 % TRYING [7]
% 2.26/0.87 % (3130086)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1219090614:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.26/0.87 % TRYING [5]
% 2.26/0.87 % TRYING [6]
% 2.26/0.87 % (3130083)Instruction limit reached!
% 2.26/0.87 % (3130083)------------------------------
% 2.26/0.87 % (3130083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.87 % (3130083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.87 % (3130083)CaDiCaL version: 2.1.3
% 2.26/0.87 % (3130083)Termination reason: Instruction limit
% 2.26/0.87 % (3130083)Termination phase: Finite model building constraint generation
% 2.26/0.87 % (3130083)Time elapsed: 0.170 s
% 2.26/0.87 % (3130083)Peak memory usage: 22 MB
% 2.26/0.87 % (3130083)Instructions burned: 865 (million)
% 2.26/0.87 % (3130088)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=480173426:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.26/0.87 % (3130061) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3130055-3130061"...
% 2.26/0.87 % TRYING [14]
% 2.26/0.87 % (3130061)...printing done.
% 2.26/0.87 % (3130061)Refutation found. Thanks to Tanya!
% 2.26/0.87 % SZS status Theorem for theBenchmark
% 2.26/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.88 % (3130061)------------------------------
% 2.26/0.88 % (3130061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.26/0.88 % (3130061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/0.88 % (3130061)CaDiCaL version: 2.1.3
% 2.26/0.88 % (3130061)Termination reason: Refutation
% 2.26/0.88 % (3130061)Time elapsed: 0.418 s
% 2.26/0.88 % (3130061)Peak memory usage: 18 MB
% 2.26/0.88 % (3130061)Instructions burned: 740 (million)
% 2.26/0.88 % (3130055)Success in time 0.468 s
% 2.26/0.88 % Vampire exiting
%------------------------------------------------------------------------------