%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT322+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 11:46:55 AM UTC 2026
% Result : Theorem 3.04s 1.36s
% Output : Refutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 58
% Syntax : Number of formulae : 467 ( 41 unt; 34 def)
% Number of atoms : 1944 ( 146 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 2524 (1047 ~;1151 |; 242 &)
% ( 47 <=>; 35 =>; 0 <=; 2 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 69 ( 67 usr; 33 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-3 aty)
% Number of variables : 235 ( 0 sgn 227 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) )
<=> r2_filter_2(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) )
<=> r2_filter_2(X0,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f15,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f16,axiom,
! [X0] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f17,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f18,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k17_filter_2(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f20,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(f22,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(k1_filter_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_filter_0) ).
fof(f24,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f32,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f37,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f38,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f40,axiom,
! [X0] :
( l1_lattices(X0)
=> ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f42,axiom,
! [X0] :
( l2_lattices(X0)
=> ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f55,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f62,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v12_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_filter_2) ).
fof(f66,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f67,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/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f85,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f87,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f88,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f92,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_filter_2) ).
fof(f94,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( v1_filter_2(X1,X0)
<=> v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_filter_2) ).
fof(f96,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
<=> v1_filter_0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_filter_0) ).
fof(f111,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) ) ),
inference(pure_predicate_removal,[],[f62]) ).
fof(f116,plain,
? [X0] :
( ? [X1] :
( ( ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) )
<~> r2_filter_2(X0,X1) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f117,plain,
? [X0] :
( ? [X1] :
( ( ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) )
<~> r2_filter_2(X0,X1) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f119,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f118]) ).
fof(f139,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f140,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f145,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f144]) ).
fof(f148,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f149,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f148]) ).
fof(f152,plain,
! [X0] :
( m1_filter_0(k1_filter_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f153,plain,
! [X0] :
( m1_filter_0(k1_filter_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f152]) ).
fof(f156,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f161,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f166]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f168]) ).
fof(f171,plain,
! [X0] :
( ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f172,plain,
! [X0] :
( ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f183,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f184,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f183]) ).
fof(f193,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f111]) ).
fof(f194,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f193]) ).
fof(f201,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f202,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f201]) ).
fof(f203,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,[],[f67]) ).
fof(f204,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,[],[f203]) ).
fof(f210,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f211,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f210]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f214]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f219]) ).
fof(f222,plain,
! [X0] :
( ! [X1] :
( ( v1_filter_2(X1,X0)
<=> v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ( v1_filter_2(X1,X0)
<=> v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f222]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
<=> v1_filter_0(X1,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
<=> v1_filter_0(X1,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f226]) ).
fof(f232,definition,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f233,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f194,f232]) ).
fof(f234,definition,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP1(X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f235,plain,
! [X0] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f202,f234]) ).
fof(f236,plain,
? [X0] :
( ? [X1] :
( ( ~ r2_filter_2(X0,X1)
| k17_filter_2(X0) = X1
| ~ v1_filter_2(X1,X0) )
& ( r2_filter_2(X0,X1)
| ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) ) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f237,plain,
? [X0] :
( ? [X1] :
( ( ~ r2_filter_2(X0,X1)
| k17_filter_2(X0) = X1
| ~ v1_filter_2(X1,X0) )
& ( r2_filter_2(X0,X1)
| ( X1 != k17_filter_2(X0)
& v1_filter_2(X1,X0) ) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f236]) ).
fof(f238,plain,
( ( ~ r2_filter_2(sK2,sK3)
| sK3 = k17_filter_2(sK2)
| ~ v1_filter_2(sK3,sK2) )
& ( r2_filter_2(sK2,sK3)
| ( sK3 != k17_filter_2(sK2)
& v1_filter_2(sK3,sK2) ) )
& m2_filter_2(sK3,sK2)
& ~ v3_struct_0(sK2)
& v10_lattices(sK2)
& v17_lattices(sK2)
& l3_lattices(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f237]) ).
fof(f250,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f232]) ).
fof(f251,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f234]) ).
fof(f269,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f215]) ).
fof(f270,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,[],[f88]) ).
fof(f271,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
& ( v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f220]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( ( ( v1_filter_2(X1,X0)
| ~ v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
& ( v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ v1_filter_2(X1,X0) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f223]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ( ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
| ~ v1_filter_0(X1,X0) )
& ( v1_filter_0(X1,X0)
| k1_filter_0(X0) = X1
| ~ v2_filter_0(X1,X0) ) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f227]) ).
fof(f274,plain,
! [X0] :
( ! [X1] :
( ( ( ( X1 != k1_filter_0(X0)
& v2_filter_0(X1,X0) )
| ~ v1_filter_0(X1,X0) )
& ( v1_filter_0(X1,X0)
| k1_filter_0(X0) = X1
| ~ v2_filter_0(X1,X0) ) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f273]) ).
fof(f275,plain,
l3_lattices(sK2),
inference(cnf_transformation,[],[f238]) ).
fof(f276,plain,
v17_lattices(sK2),
inference(cnf_transformation,[],[f238]) ).
fof(f277,plain,
v10_lattices(sK2),
inference(cnf_transformation,[],[f238]) ).
fof(f278,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f238]) ).
fof(f279,plain,
m2_filter_2(sK3,sK2),
inference(cnf_transformation,[],[f238]) ).
fof(f280,plain,
( r2_filter_2(sK2,sK3)
| v1_filter_2(sK3,sK2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f281,plain,
( r2_filter_2(sK2,sK3)
| sK3 != k17_filter_2(sK2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f282,plain,
( ~ r2_filter_2(sK2,sK3)
| sK3 = k17_filter_2(sK2)
| ~ v1_filter_2(sK3,sK2) ),
inference(cnf_transformation,[],[f238]) ).
fof(f283,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f319,plain,
! [X0] :
( u1_struct_0(X0) = k1_filter_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f320,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f321,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f322,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f325,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f327,plain,
! [X0] :
( m1_filter_0(k1_filter_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f329,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f330,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f334,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f335,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f340,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f342,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f344,plain,
! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f345,plain,
! [X0] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f346,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f347,plain,
! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f348,plain,
! [X0] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f349,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f363,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f375,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f390,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f398,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f251]) ).
fof(f407,plain,
! [X0] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f410,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| X0 = X3
| ~ 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,[],[f204]) ).
fof(f501,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f503,plain,
! [X0,X1] :
( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f505,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f270]) ).
fof(f510,plain,
! [X0,X1] :
( v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ r2_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f511,plain,
! [X0,X1] :
( r2_filter_2(X0,X1)
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f513,plain,
! [X0,X1] :
( v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ v1_filter_2(X1,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f514,plain,
! [X0,X1] :
( v1_filter_2(X1,X0)
| ~ v2_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f516,plain,
! [X0,X1] :
( v1_filter_0(X1,X0)
| k1_filter_0(X0) = X1
| ~ v2_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f517,plain,
! [X0,X1] :
( v2_filter_0(X1,X0)
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f518,plain,
! [X0,X1] :
( k1_filter_0(X0) != X1
| ~ v1_filter_0(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f523,plain,
! [X0] :
( ~ v1_filter_0(k1_filter_0(X0),X0)
| ~ m1_filter_0(k1_filter_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f518]) ).
fof(f525,definition,
( spl32_1
<=> v1_filter_2(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl32_1])],[avatar_definition]) ).
fof(f526,plain,
( ~ v1_filter_2(sK3,sK2)
| spl32_1 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f527,plain,
( v1_filter_2(sK3,sK2)
| ~ spl32_1 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f529,definition,
( spl32_2
<=> r2_filter_2(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl32_2])],[avatar_definition]) ).
fof(f530,plain,
( ~ r2_filter_2(sK2,sK3)
| spl32_2 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f531,plain,
( r2_filter_2(sK2,sK3)
| ~ spl32_2 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f532,plain,
( spl32_1
| spl32_2 ),
inference(avatar_split_clause,[],[f280,f529,f525]) ).
fof(f534,definition,
( spl32_3
<=> sK3 = k17_filter_2(sK2) ),
introduced(definition,[new_symbols(definition,[spl32_3])],[avatar_definition]) ).
fof(f535,plain,
( sK3 = k17_filter_2(sK2)
| ~ spl32_3 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f536,plain,
( sK3 != k17_filter_2(sK2)
| spl32_3 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f537,plain,
( ~ spl32_3
| spl32_2 ),
inference(avatar_split_clause,[],[f281,f529,f534]) ).
fof(f538,plain,
( ~ spl32_1
| spl32_3
| ~ spl32_2 ),
inference(avatar_split_clause,[],[f282,f529,f534,f525]) ).
fof(f596,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(superposition,[],[f321,f501]) ).
fof(f597,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| k15_filter_2(X0,X1) = X1 ),
inference(duplicate_literal_removal,[],[f596]) ).
fof(f606,plain,
! [X0] :
( ~ v1_filter_0(k1_filter_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f523,f327]) ).
fof(f620,plain,
( ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m2_filter_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_1 ),
inference(resolution,[],[f514,f526]) ).
fof(f621,plain,
( ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_1 ),
inference(forward_subsumption_resolution,[],[f620,f279]) ).
fof(f622,plain,
( ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_1 ),
inference(forward_subsumption_resolution,[],[f621,f278]) ).
fof(f623,plain,
( ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| spl32_1 ),
inference(forward_subsumption_resolution,[],[f622,f277]) ).
fof(f624,plain,
( ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| spl32_1 ),
inference(forward_subsumption_resolution,[],[f623,f275]) ).
fof(f626,plain,
( ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl32_1 ),
inference(resolution,[],[f624,f517]) ).
fof(f628,definition,
( spl32_4
<=> l3_lattices(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl32_4])],[avatar_definition]) ).
fof(f629,plain,
( l3_lattices(k1_lattice2(sK2))
| ~ spl32_4 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f630,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| spl32_4 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f632,definition,
( spl32_5
<=> v17_lattices(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl32_5])],[avatar_definition]) ).
fof(f633,plain,
( v17_lattices(k1_lattice2(sK2))
| ~ spl32_5 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f634,plain,
( ~ v17_lattices(k1_lattice2(sK2))
| spl32_5 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f636,definition,
( spl32_6
<=> v10_lattices(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl32_6])],[avatar_definition]) ).
fof(f637,plain,
( v10_lattices(k1_lattice2(sK2))
| ~ spl32_6 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f638,plain,
( ~ v10_lattices(k1_lattice2(sK2))
| spl32_6 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f640,definition,
( spl32_7
<=> v3_struct_0(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl32_7])],[avatar_definition]) ).
fof(f641,plain,
( ~ v3_struct_0(k1_lattice2(sK2))
| spl32_7 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f642,plain,
( v3_struct_0(k1_lattice2(sK2))
| ~ spl32_7 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f644,definition,
( spl32_8
<=> m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl32_8])],[avatar_definition]) ).
fof(f645,plain,
( m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ spl32_8 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f646,plain,
( ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| spl32_8 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f648,definition,
( spl32_9
<=> v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl32_9])],[avatar_definition]) ).
fof(f649,plain,
( v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ spl32_9 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f650,plain,
( ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| spl32_9 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f651,plain,
( ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| spl32_7
| ~ spl32_8
| ~ spl32_9
| spl32_1 ),
inference(avatar_split_clause,[],[f626,f525,f648,f644,f640,f636,f632,f628]) ).
fof(f656,plain,
( ~ l3_lattices(sK2)
| spl32_4 ),
inference(resolution,[],[f630,f329]) ).
fof(f657,plain,
( $false
| spl32_4 ),
inference(forward_subsumption_resolution,[],[f656,f275]) ).
fof(f658,plain,
spl32_4,
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f663,plain,
( ~ sP0(sK2)
| spl32_5 ),
inference(resolution,[],[f634,f375]) ).
fof(f681,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ v17_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_5 ),
inference(resolution,[],[f663,f390]) ).
fof(f682,plain,
( ~ v10_lattices(sK2)
| ~ v17_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_5 ),
inference(forward_subsumption_resolution,[],[f681,f278]) ).
fof(f683,plain,
( ~ v17_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_5 ),
inference(forward_subsumption_resolution,[],[f682,f277]) ).
fof(f684,plain,
( ~ l3_lattices(sK2)
| spl32_5 ),
inference(forward_subsumption_resolution,[],[f683,f276]) ).
fof(f685,plain,
( $false
| spl32_5 ),
inference(forward_subsumption_resolution,[],[f684,f275]) ).
fof(f686,plain,
spl32_5,
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f689,plain,
( ~ sP1(sK2)
| spl32_6 ),
inference(resolution,[],[f638,f398]) ).
fof(f722,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_6 ),
inference(resolution,[],[f689,f407]) ).
fof(f723,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_6 ),
inference(forward_subsumption_resolution,[],[f722,f278]) ).
fof(f724,plain,
( ~ l3_lattices(sK2)
| spl32_6 ),
inference(forward_subsumption_resolution,[],[f723,f277]) ).
fof(f725,plain,
( $false
| spl32_6 ),
inference(forward_subsumption_resolution,[],[f724,f275]) ).
fof(f726,plain,
spl32_6,
inference(avatar_contradiction_clause,[],[f725]) ).
fof(f732,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| X0 = X3
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m2_relset_1(X1,k2_zfmisc_1(X0,X0),X0) ),
inference(resolution,[],[f410,f505]) ).
fof(f752,plain,
( v3_struct_0(sK2)
| ~ l3_lattices(sK2)
| ~ spl32_7 ),
inference(resolution,[],[f642,f363]) ).
fof(f753,plain,
( ~ l3_lattices(sK2)
| ~ spl32_7 ),
inference(forward_subsumption_resolution,[],[f752,f278]) ).
fof(f754,plain,
( $false
| ~ spl32_7 ),
inference(forward_subsumption_resolution,[],[f753,f275]) ).
fof(f755,plain,
~ spl32_7,
inference(avatar_contradiction_clause,[],[f754]) ).
fof(f773,plain,
( ~ m1_filter_2(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl32_8 ),
inference(resolution,[],[f646,f503]) ).
fof(f774,plain,
( ~ m1_filter_2(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl32_7
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f773,f641]) ).
fof(f775,plain,
( ~ m1_filter_2(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl32_6
| spl32_7
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f774,f637]) ).
fof(f776,plain,
( ~ m1_filter_2(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ spl32_4
| ~ spl32_6
| spl32_7
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f775,f629]) ).
fof(f777,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m2_filter_2(sK3,sK2)
| ~ spl32_4
| ~ spl32_6
| spl32_7
| spl32_8 ),
inference(resolution,[],[f776,f325]) ).
fof(f779,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m2_filter_2(sK3,sK2)
| ~ spl32_4
| ~ spl32_6
| spl32_7
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f777,f278]) ).
fof(f780,plain,
( ~ l3_lattices(sK2)
| ~ m2_filter_2(sK3,sK2)
| ~ spl32_4
| ~ spl32_6
| spl32_7
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f779,f277]) ).
fof(f781,plain,
( ~ m2_filter_2(sK3,sK2)
| ~ spl32_4
| ~ spl32_6
| spl32_7
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f780,f275]) ).
fof(f782,plain,
( $false
| ~ spl32_4
| ~ spl32_6
| spl32_7
| spl32_8 ),
inference(forward_subsumption_resolution,[],[f781,f279]) ).
fof(f783,plain,
( ~ spl32_4
| ~ spl32_6
| spl32_7
| spl32_8 ),
inference(avatar_contradiction_clause,[],[f782]) ).
fof(f790,plain,
( ~ r2_filter_2(sK2,sK3)
| ~ m2_filter_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_9 ),
inference(resolution,[],[f650,f510]) ).
fof(f791,plain,
( k15_filter_2(sK2,sK3) = k1_filter_0(k1_lattice2(sK2))
| ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl32_9 ),
inference(resolution,[],[f650,f516]) ).
fof(f792,plain,
( ~ m2_filter_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl32_2
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f790,f531]) ).
fof(f793,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl32_2
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f792,f279]) ).
fof(f794,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl32_2
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f793,f278]) ).
fof(f795,plain,
( ~ l3_lattices(sK2)
| ~ spl32_2
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f794,f277]) ).
fof(f796,plain,
( $false
| ~ spl32_2
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f795,f275]) ).
fof(f797,plain,
( ~ spl32_2
| spl32_9 ),
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f798,plain,
( ~ r2_filter_2(sK2,sK3)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f790,f279]) ).
fof(f799,plain,
( k15_filter_2(sK2,sK3) = k1_filter_0(k1_lattice2(sK2))
| ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl32_8
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f791,f645]) ).
fof(f800,plain,
( ~ r2_filter_2(sK2,sK3)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f798,f278]) ).
fof(f801,plain,
( k15_filter_2(sK2,sK3) = k1_filter_0(k1_lattice2(sK2))
| ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl32_7
| ~ spl32_8
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f799,f641]) ).
fof(f802,plain,
( ~ r2_filter_2(sK2,sK3)
| ~ l3_lattices(sK2)
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f800,f277]) ).
fof(f803,plain,
( k15_filter_2(sK2,sK3) = k1_filter_0(k1_lattice2(sK2))
| ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl32_6
| spl32_7
| ~ spl32_8
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f801,f637]) ).
fof(f804,plain,
( ~ r2_filter_2(sK2,sK3)
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f802,f275]) ).
fof(f805,plain,
( k15_filter_2(sK2,sK3) = k1_filter_0(k1_lattice2(sK2))
| ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl32_5
| ~ spl32_6
| spl32_7
| ~ spl32_8
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f803,f633]) ).
fof(f806,plain,
( ~ spl32_2
| spl32_9 ),
inference(avatar_split_clause,[],[f804,f648,f529]) ).
fof(f807,plain,
( k15_filter_2(sK2,sK3) = k1_filter_0(k1_lattice2(sK2))
| ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| spl32_7
| ~ spl32_8
| spl32_9 ),
inference(forward_subsumption_resolution,[],[f805,f629]) ).
fof(f809,definition,
( spl32_19
<=> v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl32_19])],[avatar_definition]) ).
fof(f811,plain,
( ~ v2_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| spl32_19 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f813,definition,
( spl32_20
<=> k15_filter_2(sK2,sK3) = k1_filter_0(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl32_20])],[avatar_definition]) ).
fof(f815,plain,
( k15_filter_2(sK2,sK3) = k1_filter_0(k1_lattice2(sK2))
| ~ spl32_20 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f816,plain,
( ~ spl32_19
| spl32_20
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| spl32_7
| ~ spl32_8
| spl32_9 ),
inference(avatar_split_clause,[],[f807,f648,f644,f640,f636,f632,f628,f813,f809]) ).
fof(f817,plain,
( ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ m2_filter_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_2 ),
inference(resolution,[],[f530,f511]) ).
fof(f818,plain,
( sK3 != u1_struct_0(sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_3 ),
inference(superposition,[],[f536,f322]) ).
fof(f819,plain,
( sK3 != u1_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_3 ),
inference(forward_subsumption_resolution,[],[f818,f278]) ).
fof(f820,plain,
( sK3 != u1_struct_0(sK2)
| ~ l3_lattices(sK2)
| spl32_3 ),
inference(forward_subsumption_resolution,[],[f819,f277]) ).
fof(f821,plain,
( sK3 != u1_struct_0(sK2)
| spl32_3 ),
inference(forward_subsumption_resolution,[],[f820,f275]) ).
fof(f822,plain,
( ~ v1_filter_2(sK3,sK2)
| ~ m2_filter_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_19 ),
inference(resolution,[],[f811,f513]) ).
fof(f824,plain,
( ~ m2_filter_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl32_1
| spl32_19 ),
inference(forward_subsumption_resolution,[],[f822,f527]) ).
fof(f825,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl32_1
| spl32_19 ),
inference(forward_subsumption_resolution,[],[f824,f279]) ).
fof(f826,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl32_1
| spl32_19 ),
inference(forward_subsumption_resolution,[],[f825,f278]) ).
fof(f827,plain,
( ~ l3_lattices(sK2)
| ~ spl32_1
| spl32_19 ),
inference(forward_subsumption_resolution,[],[f826,f277]) ).
fof(f828,plain,
( $false
| ~ spl32_1
| spl32_19 ),
inference(forward_subsumption_resolution,[],[f827,f275]) ).
fof(f829,plain,
( ~ spl32_1
| spl32_19 ),
inference(avatar_contradiction_clause,[],[f828]) ).
fof(f860,definition,
( spl32_21
<=> m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl32_21])],[avatar_definition]) ).
fof(f861,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ spl32_21 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f862,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| spl32_21 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f871,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| sK3 = k15_filter_2(sK2,sK3) ),
inference(resolution,[],[f597,f279]) ).
fof(f876,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| sK3 = k15_filter_2(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f871,f278]) ).
fof(f877,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l3_lattices(sK2)
| sK3 = k15_filter_2(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f876,f277]) ).
fof(f878,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| sK3 = k15_filter_2(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f877,f275]) ).
fof(f879,plain,
( sK3 = k1_filter_0(k1_lattice2(sK2))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ spl32_20 ),
inference(forward_demodulation,[],[f878,f815]) ).
fof(f881,definition,
( spl32_23
<=> sK3 = k1_filter_0(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl32_23])],[avatar_definition]) ).
fof(f882,plain,
( sK3 != k1_filter_0(k1_lattice2(sK2))
| spl32_23 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f883,plain,
( sK3 = k1_filter_0(k1_lattice2(sK2))
| ~ spl32_23 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f884,plain,
( ~ spl32_21
| spl32_23
| ~ spl32_20 ),
inference(avatar_split_clause,[],[f879,f813,f881,f860]) ).
fof(f902,plain,
( ~ m2_lattice4(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_21 ),
inference(resolution,[],[f862,f342]) ).
fof(f908,plain,
( ~ m2_lattice4(sK3,sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_21 ),
inference(forward_subsumption_resolution,[],[f902,f278]) ).
fof(f910,plain,
( ~ m2_lattice4(sK3,sK2)
| ~ l3_lattices(sK2)
| spl32_21 ),
inference(forward_subsumption_resolution,[],[f908,f277]) ).
fof(f912,plain,
( ~ m2_lattice4(sK3,sK2)
| spl32_21 ),
inference(forward_subsumption_resolution,[],[f910,f275]) ).
fof(f921,plain,
( ~ m2_filter_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_21 ),
inference(resolution,[],[f912,f340]) ).
fof(f924,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_21 ),
inference(forward_subsumption_resolution,[],[f921,f279]) ).
fof(f926,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_21 ),
inference(forward_subsumption_resolution,[],[f924,f278]) ).
fof(f928,plain,
( ~ l3_lattices(sK2)
| spl32_21 ),
inference(forward_subsumption_resolution,[],[f926,f277]) ).
fof(f929,plain,
( $false
| spl32_21 ),
inference(forward_subsumption_resolution,[],[f928,f275]) ).
fof(f930,plain,
spl32_21,
inference(avatar_contradiction_clause,[],[f929]) ).
fof(f935,plain,
( ~ v1_filter_0(sK3,k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl32_23 ),
inference(superposition,[],[f606,f883]) ).
fof(f936,plain,
( sK3 = u1_struct_0(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl32_23 ),
inference(superposition,[],[f319,f883]) ).
fof(f939,plain,
( sK3 = u1_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl32_7
| ~ spl32_23 ),
inference(forward_subsumption_resolution,[],[f936,f641]) ).
fof(f940,plain,
( ~ v1_filter_0(sK3,k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl32_7
| ~ spl32_23 ),
inference(forward_subsumption_resolution,[],[f935,f641]) ).
fof(f944,plain,
( sK3 = u1_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl32_6
| spl32_7
| ~ spl32_23 ),
inference(forward_subsumption_resolution,[],[f939,f637]) ).
fof(f945,plain,
( ~ v1_filter_0(sK3,k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl32_6
| spl32_7
| ~ spl32_23 ),
inference(forward_subsumption_resolution,[],[f940,f637]) ).
fof(f949,plain,
( sK3 = u1_struct_0(k1_lattice2(sK2))
| ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23 ),
inference(forward_subsumption_resolution,[],[f944,f629]) ).
fof(f950,plain,
( ~ v1_filter_0(sK3,k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl32_5
| ~ spl32_6
| spl32_7
| ~ spl32_23 ),
inference(forward_subsumption_resolution,[],[f945,f633]) ).
fof(f953,plain,
( ~ v1_filter_0(sK3,k1_lattice2(sK2))
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| spl32_7
| ~ spl32_23 ),
inference(forward_subsumption_resolution,[],[f950,f629]) ).
fof(f961,plain,
( k1_lattice2(sK2) = g3_lattices(sK3,u2_lattices(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2)))
| ~ v3_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23 ),
inference(superposition,[],[f283,f949]) ).
fof(f965,plain,
( m2_relset_1(u1_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ l1_lattices(k1_lattice2(sK2))
| ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23 ),
inference(superposition,[],[f344,f949]) ).
fof(f966,plain,
( v1_funct_2(u1_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ l1_lattices(k1_lattice2(sK2))
| ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23 ),
inference(superposition,[],[f345,f949]) ).
fof(f967,plain,
( m2_relset_1(u2_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ l2_lattices(k1_lattice2(sK2))
| ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23 ),
inference(superposition,[],[f347,f949]) ).
fof(f968,plain,
( v1_funct_2(u2_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ l2_lattices(k1_lattice2(sK2))
| ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23 ),
inference(superposition,[],[f348,f949]) ).
fof(f986,definition,
( spl32_25
<=> l2_lattices(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl32_25])],[avatar_definition]) ).
fof(f987,plain,
( l2_lattices(k1_lattice2(sK2))
| ~ spl32_25 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f988,plain,
( ~ l2_lattices(k1_lattice2(sK2))
| spl32_25 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f990,definition,
( spl32_26
<=> v1_funct_2(u2_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl32_26])],[avatar_definition]) ).
fof(f992,plain,
( v1_funct_2(u2_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ spl32_26 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f993,plain,
( ~ spl32_25
| spl32_26
| ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23 ),
inference(avatar_split_clause,[],[f968,f881,f640,f636,f628,f990,f986]) ).
fof(f995,definition,
( spl32_27
<=> m2_relset_1(u2_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl32_27])],[avatar_definition]) ).
fof(f997,plain,
( m2_relset_1(u2_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ spl32_27 ),
inference(avatar_component_clause,[],[f995]) ).
fof(f998,plain,
( ~ spl32_25
| spl32_27
| ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23 ),
inference(avatar_split_clause,[],[f967,f881,f640,f636,f628,f995,f986]) ).
fof(f1000,definition,
( spl32_28
<=> l1_lattices(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl32_28])],[avatar_definition]) ).
fof(f1001,plain,
( l1_lattices(k1_lattice2(sK2))
| ~ spl32_28 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1002,plain,
( ~ l1_lattices(k1_lattice2(sK2))
| spl32_28 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1004,definition,
( spl32_29
<=> v1_funct_2(u1_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl32_29])],[avatar_definition]) ).
fof(f1006,plain,
( v1_funct_2(u1_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ spl32_29 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1007,plain,
( ~ spl32_28
| spl32_29
| ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23 ),
inference(avatar_split_clause,[],[f966,f881,f640,f636,f628,f1004,f1000]) ).
fof(f1009,definition,
( spl32_30
<=> m2_relset_1(u1_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl32_30])],[avatar_definition]) ).
fof(f1011,plain,
( m2_relset_1(u1_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ spl32_30 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f1012,plain,
( ~ spl32_28
| spl32_30
| ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23 ),
inference(avatar_split_clause,[],[f965,f881,f640,f636,f628,f1009,f1000]) ).
fof(f1016,plain,
( k1_lattice2(sK2) = g3_lattices(sK3,u2_lattices(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2)))
| ~ v3_lattices(k1_lattice2(sK2))
| ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23 ),
inference(forward_subsumption_resolution,[],[f961,f629]) ).
fof(f1037,definition,
( spl32_33
<=> v3_lattices(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl32_33])],[avatar_definition]) ).
fof(f1038,plain,
( v3_lattices(k1_lattice2(sK2))
| ~ spl32_33 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1039,plain,
( ~ v3_lattices(k1_lattice2(sK2))
| spl32_33 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1041,definition,
( spl32_34
<=> k1_lattice2(sK2) = g3_lattices(sK3,u2_lattices(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2))) ),
introduced(definition,[new_symbols(definition,[spl32_34])],[avatar_definition]) ).
fof(f1043,plain,
( k1_lattice2(sK2) = g3_lattices(sK3,u2_lattices(k1_lattice2(sK2)),u1_lattices(k1_lattice2(sK2)))
| ~ spl32_34 ),
inference(avatar_component_clause,[],[f1041]) ).
fof(f1044,plain,
( ~ spl32_33
| spl32_34
| ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23 ),
inference(avatar_split_clause,[],[f1016,f881,f640,f636,f628,f1041,f1037]) ).
fof(f1054,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| spl32_25 ),
inference(resolution,[],[f988,f334]) ).
fof(f1055,plain,
( $false
| ~ spl32_4
| spl32_25 ),
inference(forward_subsumption_resolution,[],[f1054,f629]) ).
fof(f1056,plain,
( ~ spl32_4
| spl32_25 ),
inference(avatar_contradiction_clause,[],[f1055]) ).
fof(f1068,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| spl32_28 ),
inference(resolution,[],[f1002,f335]) ).
fof(f1069,plain,
( $false
| ~ spl32_4
| spl32_28 ),
inference(forward_subsumption_resolution,[],[f1068,f629]) ).
fof(f1070,plain,
( ~ spl32_4
| spl32_28 ),
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1139,plain,
( ~ l3_lattices(sK2)
| spl32_33 ),
inference(resolution,[],[f1039,f330]) ).
fof(f1140,plain,
( $false
| spl32_33 ),
inference(forward_subsumption_resolution,[],[f1139,f275]) ).
fof(f1141,plain,
spl32_33,
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1165,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X1,X0,X3) != g3_lattices(X2,X4,X5)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1)
| X1 = X2
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
inference(resolution,[],[f732,f505]) ).
fof(f1364,plain,
! [X2,X3,X0,X1] :
( k1_lattice2(X0) != g3_lattices(X1,X2,X3)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| u1_struct_0(X0) = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ l3_lattices(X0) ),
inference(superposition,[],[f1165,f320]) ).
fof(f1365,plain,
! [X2,X3,X0,X1] :
( g3_lattices(X1,X2,X3) != X0
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| u1_struct_0(X0) = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(superposition,[],[f1165,f283]) ).
fof(f1399,definition,
( spl32_49
<=> v1_funct_1(u2_lattices(k1_lattice2(sK2))) ),
introduced(definition,[new_symbols(definition,[spl32_49])],[avatar_definition]) ).
fof(f1400,plain,
( v1_funct_1(u2_lattices(k1_lattice2(sK2)))
| ~ spl32_49 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f1401,plain,
( ~ v1_funct_1(u2_lattices(k1_lattice2(sK2)))
| spl32_49 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f1403,definition,
( spl32_50
<=> v1_funct_1(u1_lattices(k1_lattice2(sK2))) ),
introduced(definition,[new_symbols(definition,[spl32_50])],[avatar_definition]) ).
fof(f1404,plain,
( v1_funct_1(u1_lattices(k1_lattice2(sK2)))
| ~ spl32_50 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f1405,plain,
( ~ v1_funct_1(u1_lattices(k1_lattice2(sK2)))
| spl32_50 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f1418,plain,
( ~ l2_lattices(k1_lattice2(sK2))
| spl32_49 ),
inference(resolution,[],[f1401,f349]) ).
fof(f1422,plain,
( $false
| ~ spl32_25
| spl32_49 ),
inference(forward_subsumption_resolution,[],[f1418,f987]) ).
fof(f1423,plain,
( ~ spl32_25
| spl32_49 ),
inference(avatar_contradiction_clause,[],[f1422]) ).
fof(f1496,plain,
( ~ l1_lattices(k1_lattice2(sK2))
| spl32_50 ),
inference(resolution,[],[f1405,f346]) ).
fof(f1498,plain,
( $false
| ~ spl32_28
| spl32_50 ),
inference(forward_subsumption_resolution,[],[f1496,f1001]) ).
fof(f1499,plain,
( ~ spl32_28
| spl32_50 ),
inference(avatar_contradiction_clause,[],[f1498]) ).
fof(f1730,plain,
( ! [X0] :
( k1_lattice2(X0) != k1_lattice2(sK2)
| ~ v1_funct_2(u2_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| u1_struct_0(X0) = sK3
| ~ v1_funct_1(u1_lattices(k1_lattice2(sK2)))
| ~ v1_funct_2(u1_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(u2_lattices(k1_lattice2(sK2)))
| ~ m2_relset_1(u2_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(u1_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ l3_lattices(X0) )
| ~ spl32_34 ),
inference(superposition,[],[f1364,f1043]) ).
fof(f1733,plain,
( ! [X0] :
( k1_lattice2(X0) != k1_lattice2(sK2)
| u1_struct_0(X0) = sK3
| ~ v1_funct_1(u1_lattices(k1_lattice2(sK2)))
| ~ v1_funct_2(u1_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(u2_lattices(k1_lattice2(sK2)))
| ~ m2_relset_1(u2_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(u1_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ l3_lattices(X0) )
| ~ spl32_26
| ~ spl32_34 ),
inference(forward_subsumption_resolution,[],[f1730,f992]) ).
fof(f1735,plain,
( ! [X0] :
( k1_lattice2(X0) != k1_lattice2(sK2)
| u1_struct_0(X0) = sK3
| ~ v1_funct_2(u1_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(u2_lattices(k1_lattice2(sK2)))
| ~ m2_relset_1(u2_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(u1_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ l3_lattices(X0) )
| ~ spl32_26
| ~ spl32_34
| ~ spl32_50 ),
inference(forward_subsumption_resolution,[],[f1733,f1404]) ).
fof(f1737,plain,
( ! [X0] :
( k1_lattice2(X0) != k1_lattice2(sK2)
| u1_struct_0(X0) = sK3
| ~ v1_funct_1(u2_lattices(k1_lattice2(sK2)))
| ~ m2_relset_1(u2_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(u1_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ l3_lattices(X0) )
| ~ spl32_26
| ~ spl32_29
| ~ spl32_34
| ~ spl32_50 ),
inference(forward_subsumption_resolution,[],[f1735,f1006]) ).
fof(f1739,plain,
( ! [X0] :
( k1_lattice2(X0) != k1_lattice2(sK2)
| u1_struct_0(X0) = sK3
| ~ m2_relset_1(u2_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(u1_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ l3_lattices(X0) )
| ~ spl32_26
| ~ spl32_29
| ~ spl32_34
| ~ spl32_49
| ~ spl32_50 ),
inference(forward_subsumption_resolution,[],[f1737,f1400]) ).
fof(f1741,plain,
( ! [X0] :
( k1_lattice2(X0) != k1_lattice2(sK2)
| u1_struct_0(X0) = sK3
| ~ m2_relset_1(u1_lattices(k1_lattice2(sK2)),k2_zfmisc_1(sK3,sK3),sK3)
| ~ l3_lattices(X0) )
| ~ spl32_26
| ~ spl32_27
| ~ spl32_29
| ~ spl32_34
| ~ spl32_49
| ~ spl32_50 ),
inference(forward_subsumption_resolution,[],[f1739,f997]) ).
fof(f1743,plain,
( ! [X0] :
( k1_lattice2(X0) != k1_lattice2(sK2)
| u1_struct_0(X0) = sK3
| ~ l3_lattices(X0) )
| ~ spl32_26
| ~ spl32_27
| ~ spl32_29
| ~ spl32_30
| ~ spl32_34
| ~ spl32_49
| ~ spl32_50 ),
inference(forward_subsumption_resolution,[],[f1741,f1011]) ).
fof(f2010,plain,
( sK3 = u1_struct_0(sK2)
| ~ l3_lattices(sK2)
| ~ spl32_26
| ~ spl32_27
| ~ spl32_29
| ~ spl32_30
| ~ spl32_34
| ~ spl32_49
| ~ spl32_50 ),
inference(equality_resolution,[],[f1743]) ).
fof(f2011,plain,
( ~ l3_lattices(sK2)
| spl32_3
| ~ spl32_26
| ~ spl32_27
| ~ spl32_29
| ~ spl32_30
| ~ spl32_34
| ~ spl32_49
| ~ spl32_50 ),
inference(forward_subsumption_resolution,[],[f2010,f821]) ).
fof(f2012,plain,
( $false
| spl32_3
| ~ spl32_26
| ~ spl32_27
| ~ spl32_29
| ~ spl32_30
| ~ spl32_34
| ~ spl32_49
| ~ spl32_50 ),
inference(forward_subsumption_resolution,[],[f2011,f275]) ).
fof(f2013,plain,
( spl32_3
| ~ spl32_26
| ~ spl32_27
| ~ spl32_29
| ~ spl32_30
| ~ spl32_34
| ~ spl32_49
| ~ spl32_50 ),
inference(avatar_contradiction_clause,[],[f2012]) ).
fof(f2037,definition,
( spl32_73
<=> ! [X0] :
( k1_lattice2(sK2) != X0
| ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| u1_struct_0(X0) = sK3 ) ),
introduced(definition,[new_symbols(definition,[spl32_73])],[avatar_definition]) ).
fof(f2038,plain,
( ! [X0] :
( k1_lattice2(sK2) != X0
| ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| u1_struct_0(X0) = sK3 )
| ~ spl32_73 ),
inference(avatar_component_clause,[],[f2037]) ).
fof(f2062,plain,
( sK3 = k15_filter_2(sK2,sK3)
| ~ spl32_21 ),
inference(forward_subsumption_resolution,[],[f878,f861]) ).
fof(f2063,plain,
( ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_2 ),
inference(forward_subsumption_resolution,[],[f817,f279]) ).
fof(f2070,plain,
( ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl32_2 ),
inference(forward_subsumption_resolution,[],[f2063,f278]) ).
fof(f2077,plain,
( ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(sK2)
| spl32_2 ),
inference(forward_subsumption_resolution,[],[f2070,f277]) ).
fof(f2080,plain,
( ~ v1_filter_0(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| spl32_2 ),
inference(forward_subsumption_resolution,[],[f2077,f275]) ).
fof(f2081,plain,
( ~ spl32_9
| spl32_2 ),
inference(avatar_split_clause,[],[f2080,f529,f648]) ).
fof(f2085,plain,
( sK3 = u1_struct_0(sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl32_3 ),
inference(superposition,[],[f322,f535]) ).
fof(f2096,plain,
( sK3 = u1_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl32_3 ),
inference(forward_subsumption_resolution,[],[f2085,f278]) ).
fof(f2102,plain,
( sK3 = u1_struct_0(sK2)
| ~ l3_lattices(sK2)
| ~ spl32_3 ),
inference(forward_subsumption_resolution,[],[f2096,f277]) ).
fof(f2108,plain,
( sK3 = u1_struct_0(sK2)
| ~ spl32_3 ),
inference(forward_subsumption_resolution,[],[f2102,f275]) ).
fof(f2122,plain,
( k1_lattice2(sK2) = g3_lattices(sK3,u1_lattices(sK2),u2_lattices(sK2))
| ~ l3_lattices(sK2)
| ~ spl32_3 ),
inference(superposition,[],[f320,f2108]) ).
fof(f2125,plain,
( m2_relset_1(u1_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ l1_lattices(sK2)
| ~ spl32_3 ),
inference(superposition,[],[f344,f2108]) ).
fof(f2126,plain,
( v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ l1_lattices(sK2)
| ~ spl32_3 ),
inference(superposition,[],[f345,f2108]) ).
fof(f2127,plain,
( m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ l2_lattices(sK2)
| ~ spl32_3 ),
inference(superposition,[],[f347,f2108]) ).
fof(f2128,plain,
( v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ l2_lattices(sK2)
| ~ spl32_3 ),
inference(superposition,[],[f348,f2108]) ).
fof(f2170,definition,
( spl32_78
<=> l2_lattices(sK2) ),
introduced(definition,[new_symbols(definition,[spl32_78])],[avatar_definition]) ).
fof(f2171,plain,
( l2_lattices(sK2)
| ~ spl32_78 ),
inference(avatar_component_clause,[],[f2170]) ).
fof(f2172,plain,
( ~ l2_lattices(sK2)
| spl32_78 ),
inference(avatar_component_clause,[],[f2170]) ).
fof(f2174,definition,
( spl32_79
<=> v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl32_79])],[avatar_definition]) ).
fof(f2176,plain,
( v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ spl32_79 ),
inference(avatar_component_clause,[],[f2174]) ).
fof(f2177,plain,
( ~ spl32_78
| spl32_79
| ~ spl32_3 ),
inference(avatar_split_clause,[],[f2128,f534,f2174,f2170]) ).
fof(f2179,definition,
( spl32_80
<=> m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl32_80])],[avatar_definition]) ).
fof(f2181,plain,
( m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ spl32_80 ),
inference(avatar_component_clause,[],[f2179]) ).
fof(f2182,plain,
( ~ spl32_78
| spl32_80
| ~ spl32_3 ),
inference(avatar_split_clause,[],[f2127,f534,f2179,f2170]) ).
fof(f2184,definition,
( spl32_81
<=> l1_lattices(sK2) ),
introduced(definition,[new_symbols(definition,[spl32_81])],[avatar_definition]) ).
fof(f2185,plain,
( l1_lattices(sK2)
| ~ spl32_81 ),
inference(avatar_component_clause,[],[f2184]) ).
fof(f2186,plain,
( ~ l1_lattices(sK2)
| spl32_81 ),
inference(avatar_component_clause,[],[f2184]) ).
fof(f2188,definition,
( spl32_82
<=> v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl32_82])],[avatar_definition]) ).
fof(f2190,plain,
( v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ spl32_82 ),
inference(avatar_component_clause,[],[f2188]) ).
fof(f2191,plain,
( ~ spl32_81
| spl32_82
| ~ spl32_3 ),
inference(avatar_split_clause,[],[f2126,f534,f2188,f2184]) ).
fof(f2193,definition,
( spl32_83
<=> m2_relset_1(u1_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3) ),
introduced(definition,[new_symbols(definition,[spl32_83])],[avatar_definition]) ).
fof(f2195,plain,
( m2_relset_1(u1_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ spl32_83 ),
inference(avatar_component_clause,[],[f2193]) ).
fof(f2196,plain,
( ~ spl32_81
| spl32_83
| ~ spl32_3 ),
inference(avatar_split_clause,[],[f2125,f534,f2193,f2184]) ).
fof(f2199,plain,
( k1_lattice2(sK2) = g3_lattices(sK3,u1_lattices(sK2),u2_lattices(sK2))
| ~ spl32_3 ),
inference(forward_subsumption_resolution,[],[f2122,f275]) ).
fof(f2206,definition,
( spl32_85
<=> v1_funct_1(u2_lattices(sK2)) ),
introduced(definition,[new_symbols(definition,[spl32_85])],[avatar_definition]) ).
fof(f2207,plain,
( v1_funct_1(u2_lattices(sK2))
| ~ spl32_85 ),
inference(avatar_component_clause,[],[f2206]) ).
fof(f2208,plain,
( ~ v1_funct_1(u2_lattices(sK2))
| spl32_85 ),
inference(avatar_component_clause,[],[f2206]) ).
fof(f2210,definition,
( spl32_86
<=> v1_funct_1(u1_lattices(sK2)) ),
introduced(definition,[new_symbols(definition,[spl32_86])],[avatar_definition]) ).
fof(f2211,plain,
( v1_funct_1(u1_lattices(sK2))
| ~ spl32_86 ),
inference(avatar_component_clause,[],[f2210]) ).
fof(f2212,plain,
( ~ v1_funct_1(u1_lattices(sK2))
| spl32_86 ),
inference(avatar_component_clause,[],[f2210]) ).
fof(f2291,plain,
( ~ l3_lattices(sK2)
| spl32_78 ),
inference(resolution,[],[f2172,f334]) ).
fof(f2292,plain,
( $false
| spl32_78 ),
inference(forward_subsumption_resolution,[],[f2291,f275]) ).
fof(f2293,plain,
spl32_78,
inference(avatar_contradiction_clause,[],[f2292]) ).
fof(f2294,plain,
( ~ l3_lattices(sK2)
| spl32_81 ),
inference(resolution,[],[f2186,f335]) ).
fof(f2295,plain,
( $false
| spl32_81 ),
inference(forward_subsumption_resolution,[],[f2294,f275]) ).
fof(f2296,plain,
spl32_81,
inference(avatar_contradiction_clause,[],[f2295]) ).
fof(f2319,plain,
( sK3 != u1_struct_0(k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl32_23 ),
inference(superposition,[],[f882,f319]) ).
fof(f2320,plain,
( sK3 != u1_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| spl32_7
| spl32_23 ),
inference(forward_subsumption_resolution,[],[f2319,f641]) ).
fof(f2321,plain,
( sK3 != u1_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl32_6
| spl32_7
| spl32_23 ),
inference(forward_subsumption_resolution,[],[f2320,f637]) ).
fof(f2322,plain,
( sK3 != u1_struct_0(k1_lattice2(sK2))
| ~ spl32_4
| ~ spl32_6
| spl32_7
| spl32_23 ),
inference(forward_subsumption_resolution,[],[f2321,f629]) ).
fof(f2359,plain,
( ~ l1_lattices(sK2)
| spl32_86 ),
inference(resolution,[],[f2212,f346]) ).
fof(f2361,plain,
( $false
| ~ spl32_81
| spl32_86 ),
inference(forward_subsumption_resolution,[],[f2359,f2185]) ).
fof(f2362,plain,
( ~ spl32_81
| spl32_86 ),
inference(avatar_contradiction_clause,[],[f2361]) ).
fof(f2363,plain,
( v1_filter_0(sK3,k1_lattice2(sK2))
| ~ spl32_9
| ~ spl32_21 ),
inference(forward_demodulation,[],[f649,f2062]) ).
fof(f2364,plain,
( ~ l2_lattices(sK2)
| spl32_85 ),
inference(resolution,[],[f2208,f349]) ).
fof(f2368,plain,
( $false
| ~ spl32_78
| spl32_85 ),
inference(forward_subsumption_resolution,[],[f2364,f2171]) ).
fof(f2369,plain,
( ~ spl32_78
| spl32_85 ),
inference(avatar_contradiction_clause,[],[f2368]) ).
fof(f2399,plain,
( ! [X0] :
( k1_lattice2(sK2) != X0
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| u1_struct_0(X0) = sK3
| ~ v1_funct_1(u2_lattices(sK2))
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m2_relset_1(u1_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl32_3 ),
inference(superposition,[],[f1365,f2199]) ).
fof(f2400,plain,
( ! [X0] :
( k1_lattice2(sK2) != X0
| u1_struct_0(X0) = sK3
| ~ v1_funct_1(u2_lattices(sK2))
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m2_relset_1(u1_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl32_3
| ~ spl32_82 ),
inference(forward_subsumption_resolution,[],[f2399,f2190]) ).
fof(f2408,plain,
( ! [X0] :
( k1_lattice2(sK2) != X0
| u1_struct_0(X0) = sK3
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m2_relset_1(u1_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl32_3
| ~ spl32_82
| ~ spl32_85 ),
inference(forward_subsumption_resolution,[],[f2400,f2207]) ).
fof(f2416,plain,
( ! [X0] :
( k1_lattice2(sK2) != X0
| u1_struct_0(X0) = sK3
| ~ v1_funct_1(u1_lattices(sK2))
| ~ m2_relset_1(u1_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl32_3
| ~ spl32_79
| ~ spl32_82
| ~ spl32_85 ),
inference(forward_subsumption_resolution,[],[f2408,f2176]) ).
fof(f2424,plain,
( ! [X0] :
( k1_lattice2(sK2) != X0
| u1_struct_0(X0) = sK3
| ~ m2_relset_1(u1_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl32_3
| ~ spl32_79
| ~ spl32_82
| ~ spl32_85
| ~ spl32_86 ),
inference(forward_subsumption_resolution,[],[f2416,f2211]) ).
fof(f2432,plain,
( ! [X0] :
( k1_lattice2(sK2) != X0
| u1_struct_0(X0) = sK3
| ~ m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(sK3,sK3),sK3)
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl32_3
| ~ spl32_79
| ~ spl32_82
| ~ spl32_83
| ~ spl32_85
| ~ spl32_86 ),
inference(forward_subsumption_resolution,[],[f2424,f2195]) ).
fof(f2440,plain,
( ! [X0] :
( k1_lattice2(sK2) != X0
| u1_struct_0(X0) = sK3
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl32_3
| ~ spl32_79
| ~ spl32_80
| ~ spl32_82
| ~ spl32_83
| ~ spl32_85
| ~ spl32_86 ),
inference(forward_subsumption_resolution,[],[f2432,f2181]) ).
fof(f2448,plain,
( spl32_73
| ~ spl32_3
| ~ spl32_79
| ~ spl32_80
| ~ spl32_82
| ~ spl32_83
| ~ spl32_85
| ~ spl32_86 ),
inference(avatar_split_clause,[],[f2440,f2210,f2206,f2193,f2188,f2179,f2174,f534,f2037]) ).
fof(f2630,plain,
( ~ l3_lattices(k1_lattice2(sK2))
| ~ v3_lattices(k1_lattice2(sK2))
| sK3 = u1_struct_0(k1_lattice2(sK2))
| ~ spl32_73 ),
inference(equality_resolution,[],[f2038]) ).
fof(f2631,plain,
( ~ v3_lattices(k1_lattice2(sK2))
| sK3 = u1_struct_0(k1_lattice2(sK2))
| ~ spl32_4
| ~ spl32_73 ),
inference(forward_subsumption_resolution,[],[f2630,f629]) ).
fof(f2632,plain,
( sK3 = u1_struct_0(k1_lattice2(sK2))
| ~ spl32_4
| ~ spl32_33
| ~ spl32_73 ),
inference(forward_subsumption_resolution,[],[f2631,f1038]) ).
fof(f2633,plain,
( $false
| ~ spl32_4
| ~ spl32_6
| spl32_7
| spl32_23
| ~ spl32_33
| ~ spl32_73 ),
inference(forward_subsumption_resolution,[],[f2632,f2322]) ).
fof(f2634,plain,
( ~ spl32_4
| ~ spl32_6
| spl32_7
| spl32_23
| ~ spl32_33
| ~ spl32_73 ),
inference(avatar_contradiction_clause,[],[f2633]) ).
fof(f2642,plain,
( $false
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| spl32_7
| ~ spl32_9
| ~ spl32_21
| ~ spl32_23 ),
inference(forward_subsumption_resolution,[],[f953,f2363]) ).
fof(f2643,plain,
( ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| spl32_7
| ~ spl32_9
| ~ spl32_21
| ~ spl32_23 ),
inference(avatar_contradiction_clause,[],[f2642]) ).
cnf(s1,plain,
( spl32_1
| spl32_2 ),
inference(sat_conversion,[],[f532]) ).
cnf(s2,plain,
( spl32_2
| ~ spl32_3 ),
inference(sat_conversion,[],[f537]) ).
cnf(s3,plain,
( ~ spl32_1
| ~ spl32_2
| spl32_3 ),
inference(sat_conversion,[],[f538]) ).
cnf(s4,plain,
( spl32_1
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| spl32_7
| ~ spl32_8
| ~ spl32_9 ),
inference(sat_conversion,[],[f651]) ).
cnf(s5,plain,
spl32_4,
inference(sat_conversion,[],[f658]) ).
cnf(s7,plain,
spl32_5,
inference(sat_conversion,[],[f686]) ).
cnf(s9,plain,
spl32_6,
inference(sat_conversion,[],[f726]) ).
cnf(s12,plain,
~ spl32_7,
inference(sat_conversion,[],[f755]) ).
cnf(s14,plain,
( ~ spl32_4
| ~ spl32_6
| spl32_7
| spl32_8 ),
inference(sat_conversion,[],[f783]) ).
cnf(s15,plain,
( ~ spl32_2
| spl32_9 ),
inference(sat_conversion,[],[f797]) ).
cnf(s16,plain,
( ~ spl32_2
| spl32_9 ),
inference(sat_conversion,[],[f806]) ).
cnf(s17,plain,
( ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| spl32_7
| ~ spl32_8
| spl32_9
| ~ spl32_19
| spl32_20 ),
inference(sat_conversion,[],[f816]) ).
cnf(s18,plain,
( ~ spl32_1
| spl32_19 ),
inference(sat_conversion,[],[f829]) ).
cnf(s21,plain,
( ~ spl32_20
| ~ spl32_21
| spl32_23 ),
inference(sat_conversion,[],[f884]) ).
cnf(s24,plain,
spl32_21,
inference(sat_conversion,[],[f930]) ).
cnf(s25,plain,
( ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23
| ~ spl32_25
| spl32_26 ),
inference(sat_conversion,[],[f993]) ).
cnf(s26,plain,
( ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23
| ~ spl32_25
| spl32_27 ),
inference(sat_conversion,[],[f998]) ).
cnf(s27,plain,
( ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23
| ~ spl32_28
| spl32_29 ),
inference(sat_conversion,[],[f1007]) ).
cnf(s28,plain,
( ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23
| ~ spl32_28
| spl32_30 ),
inference(sat_conversion,[],[f1012]) ).
cnf(s34,plain,
( ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23
| ~ spl32_33
| spl32_34 ),
inference(sat_conversion,[],[f1044]) ).
cnf(s35,plain,
( ~ spl32_4
| spl32_25 ),
inference(sat_conversion,[],[f1056]) ).
cnf(s36,plain,
( ~ spl32_4
| spl32_28 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s40,plain,
spl32_33,
inference(sat_conversion,[],[f1141]) ).
cnf(s52,plain,
( ~ spl32_25
| spl32_49 ),
inference(sat_conversion,[],[f1423]) ).
cnf(s60,plain,
( ~ spl32_28
| spl32_50 ),
inference(sat_conversion,[],[f1499]) ).
cnf(s72,plain,
( spl32_3
| ~ spl32_26
| ~ spl32_27
| ~ spl32_29
| ~ spl32_30
| ~ spl32_34
| ~ spl32_49
| ~ spl32_50 ),
inference(sat_conversion,[],[f2013]) ).
cnf(s83,plain,
( spl32_2
| ~ spl32_9 ),
inference(sat_conversion,[],[f2081]) ).
cnf(s84,plain,
( ~ spl32_3
| ~ spl32_78
| spl32_79 ),
inference(sat_conversion,[],[f2177]) ).
cnf(s85,plain,
( ~ spl32_3
| ~ spl32_78
| spl32_80 ),
inference(sat_conversion,[],[f2182]) ).
cnf(s86,plain,
( ~ spl32_3
| ~ spl32_81
| spl32_82 ),
inference(sat_conversion,[],[f2191]) ).
cnf(s87,plain,
( ~ spl32_3
| ~ spl32_81
| spl32_83 ),
inference(sat_conversion,[],[f2196]) ).
cnf(s99,plain,
spl32_78,
inference(sat_conversion,[],[f2293]) ).
cnf(s100,plain,
spl32_81,
inference(sat_conversion,[],[f2296]) ).
cnf(s105,plain,
( ~ spl32_81
| spl32_86 ),
inference(sat_conversion,[],[f2362]) ).
cnf(s106,plain,
( ~ spl32_78
| spl32_85 ),
inference(sat_conversion,[],[f2369]) ).
cnf(s108,plain,
( ~ spl32_3
| spl32_73
| ~ spl32_79
| ~ spl32_80
| ~ spl32_82
| ~ spl32_83
| ~ spl32_85
| ~ spl32_86 ),
inference(sat_conversion,[],[f2448]) ).
cnf(s121,plain,
( ~ spl32_4
| ~ spl32_6
| spl32_7
| spl32_23
| ~ spl32_33
| ~ spl32_73 ),
inference(sat_conversion,[],[f2634]) ).
cnf(s124,plain,
( ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| spl32_7
| ~ spl32_9
| ~ spl32_21
| ~ spl32_23 ),
inference(sat_conversion,[],[f2643]) ).
cnf(s128,plain,
spl32_86,
inference(rat,[],[s105,s100]) ).
cnf(s130,plain,
spl32_85,
inference(rat,[],[s106,s99]) ).
cnf(s141,plain,
( ~ spl32_3
| spl32_83 ),
inference(rat,[],[s87,s100]) ).
cnf(s142,plain,
( ~ spl32_3
| spl32_82 ),
inference(rat,[],[s86,s100]) ).
cnf(s143,plain,
( ~ spl32_3
| spl32_80 ),
inference(rat,[],[s85,s99]) ).
cnf(s144,plain,
( ~ spl32_3
| spl32_79 ),
inference(rat,[],[s84,s99]) ).
cnf(s148,plain,
( ~ spl32_4
| ~ spl32_6
| spl32_7
| ~ spl32_23
| spl32_34 ),
inference(rat,[],[s34,s40]) ).
cnf(s150,plain,
( ~ spl32_20
| spl32_23 ),
inference(rat,[],[s21,s24]) ).
cnf(s152,plain,
spl32_28,
inference(rat,[],[s36,s5]) ).
cnf(s153,plain,
spl32_25,
inference(rat,[],[s35,s5]) ).
cnf(s154,plain,
spl32_8,
inference(rat,[],[s14,s9,s12,s5]) ).
cnf(s156,plain,
spl32_50,
inference(rat,[],[s60,s152]) ).
cnf(s158,plain,
spl32_49,
inference(rat,[],[s52,s153]) ).
cnf(s159,plain,
( spl32_1
| ~ spl32_9 ),
inference(rat,[],[s4,s154,s12,s9,s7,s5]) ).
cnf(s160,plain,
spl32_1,
inference(rat,[],[s15,s1,s159]) ).
cnf(s161,plain,
spl32_19,
inference(rat,[],[s18,s160]) ).
cnf(s162,plain,
spl32_2,
inference(rat,[],[s72,s25,s26,s27,s28,s148,s150,s17,s2,s83,s158,s156,s12,s9,s153,s5,s152,s7,s154,s161]) ).
cnf(s163,plain,
spl32_9,
inference(rat,[],[s16,s162]) ).
cnf(s164,plain,
spl32_3,
inference(rat,[],[s3,s160,s162]) ).
cnf(s165,plain,
~ spl32_23,
inference(rat,[],[s124,s5,s24,s7,s12,s9,s163]) ).
cnf(s167,plain,
spl32_83,
inference(rat,[],[s141,s164]) ).
cnf(s168,plain,
spl32_82,
inference(rat,[],[s142,s164]) ).
cnf(s169,plain,
spl32_80,
inference(rat,[],[s143,s164]) ).
cnf(s170,plain,
spl32_79,
inference(rat,[],[s144,s164]) ).
cnf(s173,plain,
~ spl32_73,
inference(rat,[],[s121,s5,s40,s9,s12,s165]) ).
cnf(s176,plain,
$false,
inference(rat,[],[s108,s128,s130,s167,s168,s169,s164,s173,s170]) ).
fof(f2666,plain,
$false,
inference(avatar_sat_refutation,[],[s176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT322+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 14:35:51 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.04/1.36 % (295452)Detected formulas, will run a generic FOF schedule.
% 3.04/1.36 % (295460)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=435816857:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.04/1.36 % (295460)Refutation not found, incomplete strategy
% 3.04/1.36 % (295460)------------------------------
% 3.04/1.36 % (295460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.36 % (295460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.36 % (295460)CaDiCaL version: 2.1.3
% 3.04/1.36 % (295460)Termination reason: Refutation not found, incomplete strategy
% 3.04/1.36 % (295460)Time elapsed: 0.001 s
% 3.04/1.36 % (295460)Peak memory usage: 88 MB
% 3.04/1.36 % (295460)Instructions burned: 1 (million)
% 3.04/1.36 % (295459)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=2624050257:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.04/1.36 % (295457)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=3886347871:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.04/1.36 % (295461)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3619991351:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.04/1.36 % (295463)dis-21_1_sil=8000:lcm=predicate:random_seed=2977223744: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)
% 3.04/1.36 % (295458)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=3642352138:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.04/1.36 % (295462)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3845051201:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.04/1.36 % (295462)First to succeed.
% 3.04/1.36 % (295463)Instruction limit reached!
% 3.04/1.36 % (295463)------------------------------
% 3.04/1.36 % (295463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.36 % (295463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.36 % (295463)CaDiCaL version: 2.1.3
% 3.04/1.36 % (295463)Termination reason: Instruction limit
% 3.04/1.36 % (295463)Termination phase: Saturation
% 3.04/1.36 % (295463)Time elapsed: 0.065 s
% 3.04/1.36 % (295463)Peak memory usage: 92 MB
% 3.04/1.36 % (295463)Instructions burned: 130 (million)
% 3.04/1.36 % (295461)Instruction limit reached!
% 3.04/1.36 % (295461)------------------------------
% 3.04/1.36 % (295461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.36 % (295461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.36 % (295461)CaDiCaL version: 2.1.3
% 3.04/1.36 % (295461)Termination reason: Instruction limit
% 3.04/1.36 % (295461)Termination phase: Saturation
% 3.04/1.36 % (295461)Time elapsed: 0.069 s
% 3.04/1.36 % (295461)Peak memory usage: 88 MB
% 3.04/1.36 % (295461)Instructions burned: 119 (million)
% 3.04/1.36 % (295462)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-295452"
% 3.04/1.36 % (295460)------------------------------
% 3.04/1.36 % (295460)------------------------------
% 3.04/1.36 % (295471)lrs+10_1_sil=8000:sp=occurrence:random_seed=267095465:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.04/1.36 % (295473)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2035836925:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.04/1.36 % (295472)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3334702060:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.04/1.36 % (295473)Refutation not found, incomplete strategy
% 3.04/1.36 % (295473)------------------------------
% 3.04/1.36 % (295473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.36 % (295473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.36 % (295473)CaDiCaL version: 2.1.3
% 3.04/1.36 % (295473)Termination reason: Refutation not found, incomplete strategy
% 3.04/1.36 % (295473)Time elapsed: 0.002 s
% 3.04/1.36 % (295473)Peak memory usage: 88 MB
% 3.04/1.36 % (295473)Instructions burned: 4 (million)
% 3.04/1.36 % (295472)Refutation not found, incomplete strategy
% 3.04/1.36 % (295472)------------------------------
% 3.04/1.36 % (295472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.36 % (295472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.36 % (295472)CaDiCaL version: 2.1.3
% 3.04/1.36 % (295472)Termination reason: Refutation not found, incomplete strategy
% 3.04/1.36 % (295472)Time elapsed: 0.005 s
% 3.04/1.36 % (295472)Peak memory usage: 89 MB
% 3.04/1.36 % (295472)Instructions burned: 6 (million)
% 3.04/1.36 % (295462)Refutation found. Thanks to Tanya!
% 3.04/1.36 % SZS status Theorem for theBenchmark
% 3.04/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 4.15/1.55 % (295462)------------------------------
% 4.15/1.55 % (295462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.15/1.55 % (295462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.15/1.55 % (295462)CaDiCaL version: 2.1.3
% 4.15/1.55 % (295462)Termination reason: Refutation
% 4.15/1.55 % (295462)Time elapsed: 0.070 s
% 4.15/1.55 % (295462)Peak memory usage: 91 MB
% 4.15/1.55 % (295462)Instructions burned: 105 (million)
% 4.15/1.55 % (295462)------------------------------
% 4.15/1.55 % (295462)------------------------------
% 4.15/1.55 % (295452)Success in time 0.503 s
% 4.15/1.55 % Vampire exiting
%------------------------------------------------------------------------------