TSTP Solution File: LAT309+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT309+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:17:37 EDT 2023
% Result : Theorem 126.30s 17.84s
% Output : CNFRefutation 126.30s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f466)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ~ ( ! [X2] :
( m2_filter_2(X2,X0)
=> ~ ( r2_filter_2(X0,X2)
& r2_hidden(X1,X2) ) )
& k6_lattices(X0) != X1
& v14_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ~ ( ! [X2] :
( m2_filter_2(X2,X0)
=> ~ ( r2_filter_2(X0,X2)
& r2_hidden(X1,X2) ) )
& k6_lattices(X0) != X1
& v14_lattices(X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f12,axiom,
! [X0] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f13,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k5_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_filter_2) ).
fof(f14,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f15,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
=> k8_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_filter_2) ).
fof(f17,axiom,
! [X0,X1] :
( ( m1_filter_0(X1,k1_lattice2(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m2_filter_2(k14_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k14_filter_2) ).
fof(f19,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f23,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_filter_2) ).
fof(f27,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k8_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_filter_2) ).
fof(f31,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f32,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f36,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f37,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f39,axiom,
! [X0] :
( l1_lattices(X0)
=> ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f41,axiom,
! [X0] :
( l2_lattices(X0)
=> ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f54,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f65,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f66,axiom,
! [X0,X1,X2] :
( ( 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) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X2 = X5
& X1 = X4
& X0 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f81,axiom,
! [X0,X1] :
( ( m1_filter_0(X1,k1_lattice2(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k8_filter_2(X0,X1) = k14_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k14_filter_2) ).
fof(f82,axiom,
! [X0,X1] :
( ( m2_filter_2(X1,X0)
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k7_filter_2(X0,X1) = k15_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f84,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(f89,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(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/sandbox2/benchmark/theBenchmark.p',t33_filter_2) ).
fof(f93,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_lattice2) ).
fof(f95,axiom,
! [X0] :
( ( l3_lattices(X0)
& v14_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k6_lattices(X0) = k5_lattices(k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t79_lattice2) ).
fof(f110,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ r2_filter_2(X0,X2)
| ~ r2_hidden(X1,X2)
| ~ m2_filter_2(X2,X0) )
& k6_lattices(X0) != X1
& v14_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f111,plain,
? [X0] :
( ? [X1] :
( ! [X2] :
( ~ r2_filter_2(X0,X2)
| ~ r2_hidden(X1,X2)
| ~ m2_filter_2(X2,X0) )
& k6_lattices(X0) != X1
& v14_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f113,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f112]) ).
fof(f127,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f132]) ).
fof(f136,plain,
! [X0,X1] :
( m2_filter_2(k14_filter_2(X0,X1),X0)
| ~ m1_filter_0(X1,k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f137,plain,
! [X0,X1] :
( m2_filter_2(k14_filter_2(X0,X1),X0)
| ~ m1_filter_0(X1,k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f136]) ).
fof(f140,plain,
! [X0] :
( ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f141,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f142,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f141]) ).
fof(f149,plain,
! [X0,X1] :
( m1_subset_1(k8_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f150,plain,
! [X0,X1] :
( m1_subset_1(k8_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f149]) ).
fof(f153,plain,
! [X0] :
( ( l2_lattices(X0)
& l1_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
| ~ m1_filter_0(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f154]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( ( m2_lattice4(X1,X0)
& ~ v1_xboole_0(X1) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f158]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f160]) ).
fof(f163,plain,
! [X0] :
( ( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_lattices(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f164,plain,
! [X0] :
( ( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u2_lattices(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f175,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f176,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f175]) ).
fof(f193,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f193]) ).
fof(f195,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,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) ),
inference(ennf_transformation,[],[f66]) ).
fof(f196,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X2 = X5
& X1 = X4
& X0 = X3 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,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) ),
inference(flattening,[],[f195]) ).
fof(f202,plain,
! [X0,X1] :
( k8_filter_2(X0,X1) = k14_filter_2(X0,X1)
| ~ m1_filter_0(X1,k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f203,plain,
! [X0,X1] :
( k8_filter_2(X0,X1) = k14_filter_2(X0,X1)
| ~ m1_filter_0(X1,k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f202]) ).
fof(f204,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f205,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f204]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f213]) ).
fof(f219,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f220,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f219]) ).
fof(f222,plain,
! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f223,plain,
! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f222]) ).
fof(f226,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f227,plain,
! [X0] :
( sP0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f194,f226]) ).
fof(f228,plain,
( ? [X0] :
( ? [X1] :
( ! [X2] :
( ~ r2_filter_2(X0,X2)
| ~ r2_hidden(X1,X2)
| ~ m2_filter_2(X2,X0) )
& k6_lattices(X0) != X1
& v14_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ! [X2] :
( ~ r2_filter_2(sK1,X2)
| ~ r2_hidden(X1,X2)
| ~ m2_filter_2(X2,sK1) )
& k6_lattices(sK1) != X1
& v14_lattices(sK1)
& m1_subset_1(X1,u1_struct_0(sK1)) )
& l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
( ? [X1] :
( ! [X2] :
( ~ r2_filter_2(sK1,X2)
| ~ r2_hidden(X1,X2)
| ~ m2_filter_2(X2,sK1) )
& k6_lattices(sK1) != X1
& v14_lattices(sK1)
& m1_subset_1(X1,u1_struct_0(sK1)) )
=> ( ! [X2] :
( ~ r2_filter_2(sK1,X2)
| ~ r2_hidden(sK2,X2)
| ~ m2_filter_2(X2,sK1) )
& k6_lattices(sK1) != sK2
& v14_lattices(sK1)
& m1_subset_1(sK2,u1_struct_0(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f230,plain,
( ! [X2] :
( ~ r2_filter_2(sK1,X2)
| ~ r2_hidden(sK2,X2)
| ~ m2_filter_2(X2,sK1) )
& k6_lattices(sK1) != sK2
& v14_lattices(sK1)
& m1_subset_1(sK2,u1_struct_0(sK1))
& l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f111,f229,f228]) ).
fof(f253,plain,
! [X0] :
( ( v10_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f226]) ).
fof(f283,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,[],[f84]) ).
fof(f286,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) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f214]) ).
fof(f287,plain,
! [X0] :
( ( ( v14_lattices(X0)
| ~ v13_lattices(k1_lattice2(X0)) )
& ( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0) ) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(nnf_transformation,[],[f220]) ).
fof(f288,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f230]) ).
fof(f289,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f230]) ).
fof(f290,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f230]) ).
fof(f291,plain,
m1_subset_1(sK2,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f230]) ).
fof(f292,plain,
v14_lattices(sK1),
inference(cnf_transformation,[],[f230]) ).
fof(f293,plain,
k6_lattices(sK1) != sK2,
inference(cnf_transformation,[],[f230]) ).
fof(f294,plain,
! [X2] :
( ~ r2_filter_2(sK1,X2)
| ~ r2_hidden(sK2,X2)
| ~ m2_filter_2(X2,sK1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f295,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f315,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f316,plain,
! [X0,X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f317,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f318,plain,
! [X0,X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f321,plain,
! [X0,X1] :
( m2_filter_2(k14_filter_2(X0,X1),X0)
| ~ m1_filter_0(X1,k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f323,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f324,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f325,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f329,plain,
! [X0,X1] :
( m1_subset_1(k8_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f332,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f333,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f335,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f339,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f340,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f342,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f343,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,[],[f163]) ).
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,[],[f163]) ).
fof(f345,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f346,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,[],[f164]) ).
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,[],[f164]) ).
fof(f360,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f389,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f253]) ).
fof(f390,plain,
! [X0] :
( sP0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f391,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X3
| g3_lattices(X0,X1,X2) != g3_lattices(X3,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) ),
inference(cnf_transformation,[],[f196]) ).
fof(f392,plain,
! [X2,X3,X0,X1,X4,X5] :
( X1 = X4
| g3_lattices(X0,X1,X2) != g3_lattices(X3,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) ),
inference(cnf_transformation,[],[f196]) ).
fof(f393,plain,
! [X2,X3,X0,X1,X4,X5] :
( X2 = X5
| g3_lattices(X0,X1,X2) != g3_lattices(X3,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) ),
inference(cnf_transformation,[],[f196]) ).
fof(f441,plain,
! [X0,X1] :
( k8_filter_2(X0,X1) = k14_filter_2(X0,X1)
| ~ m1_filter_0(X1,k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f442,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f445,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f283]) ).
fof(f454,plain,
! [X0,X1] :
( r2_filter_2(X0,X1)
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f458,plain,
! [X0] :
( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f461,plain,
! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f223]) ).
cnf(c_49,negated_conjecture,
( ~ r2_filter_2(sK1,X0)
| ~ r2_hidden(sK2,X0)
| ~ m2_filter_2(X0,sK1) ),
inference(cnf_transformation,[],[f294]) ).
cnf(c_50,negated_conjecture,
k6_lattices(sK1) != sK2,
inference(cnf_transformation,[],[f293]) ).
cnf(c_51,negated_conjecture,
v14_lattices(sK1),
inference(cnf_transformation,[],[f292]) ).
cnf(c_52,negated_conjecture,
m1_subset_1(sK2,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f291]) ).
cnf(c_53,negated_conjecture,
l3_lattices(sK1),
inference(cnf_transformation,[],[f290]) ).
cnf(c_54,negated_conjecture,
v10_lattices(sK1),
inference(cnf_transformation,[],[f289]) ).
cnf(c_55,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f288]) ).
cnf(c_56,plain,
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f295]) ).
cnf(c_70,plain,
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) = k1_lattice2(X0) ),
inference(cnf_transformation,[],[f315]) ).
cnf(c_71,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k5_filter_2(X1,X0) = X0
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f316]) ).
cnf(c_72,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k7_filter_2(X1,X0) = X0
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f317]) ).
cnf(c_73,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k8_filter_2(X1,X0) = X0
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f318]) ).
cnf(c_76,plain,
( ~ m1_filter_0(X0,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_filter_2(k14_filter_2(X1,X0),X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f321]) ).
cnf(c_78,plain,
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f324]) ).
cnf(c_79,plain,
( ~ l3_lattices(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f323]) ).
cnf(c_80,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(k5_filter_2(X1,X0),u1_struct_0(k1_lattice2(X1)))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f325]) ).
cnf(c_84,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(k8_filter_2(X1,X0),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f329]) ).
cnf(c_87,plain,
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f333]) ).
cnf(c_88,plain,
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f332]) ).
cnf(c_89,plain,
( ~ m1_filter_0(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f335]) ).
cnf(c_93,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_lattice4(X0,X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f339]) ).
cnf(c_95,plain,
( ~ m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f340]) ).
cnf(c_97,plain,
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f344]) ).
cnf(c_98,plain,
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f343]) ).
cnf(c_99,plain,
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f342]) ).
cnf(c_100,plain,
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f347]) ).
cnf(c_101,plain,
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f346]) ).
cnf(c_102,plain,
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f345]) ).
cnf(c_116,plain,
( ~ v3_struct_0(k1_lattice2(X0))
| ~ l3_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_136,plain,
( ~ sP0(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f389]) ).
cnf(c_145,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f390]) ).
cnf(c_146,plain,
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| X2 = X5 ),
inference(cnf_transformation,[],[f393]) ).
cnf(c_147,plain,
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| X1 = X4 ),
inference(cnf_transformation,[],[f392]) ).
cnf(c_148,plain,
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| X0 = X3 ),
inference(cnf_transformation,[],[f391]) ).
cnf(c_196,plain,
( ~ m1_filter_0(X0,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k8_filter_2(X1,X0) = k14_filter_2(X1,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f441]) ).
cnf(c_197,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k7_filter_2(X1,X0) = k15_filter_2(X1,X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f442]) ).
cnf(c_201,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f445]) ).
cnf(c_204,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| k5_lattices(X1) = X0
| v1_filter_0(sK28(X1,X0),X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f464]) ).
cnf(c_205,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| k5_lattices(X1) = X0
| r2_hidden(X0,sK28(X1,X0))
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f465]) ).
cnf(c_206,plain,
( ~ m1_subset_1(X0,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| k5_lattices(X1) = X0
| m1_filter_0(sK28(X1,X0),X1)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f466]) ).
cnf(c_208,plain,
( ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| r2_filter_2(X0,X1)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f454]) ).
cnf(c_214,plain,
( ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v13_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f458]) ).
cnf(c_216,plain,
( ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| k5_lattices(k1_lattice2(X0)) = k6_lattices(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f461]) ).
cnf(c_316,plain,
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_201]) ).
cnf(c_322,plain,
( ~ l3_lattices(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(prop_impl_just,[status(thm)],[c_79]) ).
cnf(c_324,plain,
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_88]) ).
cnf(c_326,plain,
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_87]) ).
cnf(c_354,plain,
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_97]) ).
cnf(c_356,plain,
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_98]) ).
cnf(c_358,plain,
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(prop_impl_just,[status(thm)],[c_99]) ).
cnf(c_364,plain,
( ~ l2_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_100]) ).
cnf(c_366,plain,
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_101]) ).
cnf(c_368,plain,
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(prop_impl_just,[status(thm)],[c_102]) ).
cnf(c_384,plain,
( ~ sP0(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(prop_impl_just,[status(thm)],[c_136]) ).
cnf(c_1415,plain,
( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2
| u1_struct_0(X0) != X3
| u1_lattices(X0) != X1
| ~ l1_lattices(X0)
| m1_relset_1(X1,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_316,c_354]) ).
cnf(c_1416,plain,
( ~ l1_lattices(X0)
| m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1415]) ).
cnf(c_1433,plain,
( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2
| u1_struct_0(X0) != X3
| u2_lattices(X0) != X1
| ~ l2_lattices(X0)
| m1_relset_1(X1,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_316,c_364]) ).
cnf(c_1434,plain,
( ~ l2_lattices(X0)
| m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1433]) ).
cnf(c_1477,plain,
( X0 != X1
| X2 != sK1
| ~ v1_filter_0(k15_filter_2(X2,X1),k1_lattice2(X2))
| ~ m2_filter_2(X1,X2)
| ~ r2_hidden(sK2,X0)
| ~ m2_filter_2(X0,sK1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| v3_struct_0(X2) ),
inference(resolution_lifted,[status(thm)],[c_49,c_208]) ).
cnf(c_1478,plain,
( ~ v1_filter_0(k15_filter_2(sK1,X0),k1_lattice2(sK1))
| ~ r2_hidden(sK2,X0)
| ~ m2_filter_2(X0,sK1)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_1477]) ).
cnf(c_1480,plain,
( ~ m2_filter_2(X0,sK1)
| ~ r2_hidden(sK2,X0)
| ~ v1_filter_0(k15_filter_2(sK1,X0),k1_lattice2(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_1478,c_54,c_53,c_55,c_1478]) ).
cnf(c_1481,plain,
( ~ v1_filter_0(k15_filter_2(sK1,X0),k1_lattice2(sK1))
| ~ r2_hidden(sK2,X0)
| ~ m2_filter_2(X0,sK1) ),
inference(renaming,[status(thm)],[c_1480]) ).
cnf(c_1495,plain,
( sK28(X0,X1) != k15_filter_2(sK1,X2)
| k1_lattice2(sK1) != X0
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ r2_hidden(sK2,X2)
| ~ m2_filter_2(X2,sK1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| k5_lattices(X0) = X1
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_204,c_1481]) ).
cnf(c_1496,plain,
( sK28(k1_lattice2(sK1),X0) != k15_filter_2(sK1,X1)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| ~ r2_hidden(sK2,X1)
| ~ m2_filter_2(X1,sK1)
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ v13_lattices(k1_lattice2(sK1))
| k5_lattices(k1_lattice2(sK1)) = X0
| v3_struct_0(k1_lattice2(sK1)) ),
inference(unflattening,[status(thm)],[c_1495]) ).
cnf(c_1551,plain,
( X0 != X1
| ~ l3_lattices(X0)
| m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_324,c_1416]) ).
cnf(c_1552,plain,
( ~ l3_lattices(X0)
| m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1551]) ).
cnf(c_1560,plain,
( X0 != X1
| ~ l3_lattices(X0)
| v1_funct_1(u1_lattices(X1)) ),
inference(resolution_lifted,[status(thm)],[c_324,c_358]) ).
cnf(c_1561,plain,
( ~ l3_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(unflattening,[status(thm)],[c_1560]) ).
cnf(c_1569,plain,
( X0 != X1
| ~ l3_lattices(X0)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_324,c_356]) ).
cnf(c_1570,plain,
( ~ l3_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1569]) ).
cnf(c_1661,plain,
( X0 != X1
| ~ l3_lattices(X0)
| m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_326,c_1434]) ).
cnf(c_1662,plain,
( ~ l3_lattices(X0)
| m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1661]) ).
cnf(c_1670,plain,
( X0 != X1
| ~ l3_lattices(X0)
| v1_funct_1(u2_lattices(X1)) ),
inference(resolution_lifted,[status(thm)],[c_326,c_368]) ).
cnf(c_1671,plain,
( ~ l3_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(unflattening,[status(thm)],[c_1670]) ).
cnf(c_1679,plain,
( X0 != X1
| ~ l3_lattices(X0)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(resolution_lifted,[status(thm)],[c_326,c_366]) ).
cnf(c_1680,plain,
( ~ l3_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1679]) ).
cnf(c_1792,plain,
( k1_lattice2(X0) != X1
| ~ l3_lattices(X0)
| ~ l3_lattices(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1 ),
inference(resolution_lifted,[status(thm)],[c_56,c_322]) ).
cnf(c_1793,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
inference(unflattening,[status(thm)],[c_1792]) ).
cnf(c_1795,plain,
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1793,c_78,c_1793]) ).
cnf(c_1849,plain,
( X0 != X1
| X2 != X3
| ~ m2_filter_2(X0,X2)
| ~ l3_lattices(X2)
| ~ l3_lattices(X3)
| ~ v10_lattices(X2)
| ~ v10_lattices(X3)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X2)
| v3_struct_0(X3) ),
inference(resolution_lifted,[status(thm)],[c_93,c_95]) ).
cnf(c_1850,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(unflattening,[status(thm)],[c_1849]) ).
cnf(c_1953,plain,
( X0 != sK1
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| k5_lattices(k1_lattice2(X0)) = k6_lattices(X0)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_216]) ).
cnf(c_1954,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k5_lattices(k1_lattice2(sK1)) = k6_lattices(sK1)
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_1953]) ).
cnf(c_1955,plain,
k5_lattices(k1_lattice2(sK1)) = k6_lattices(sK1),
inference(global_subsumption_just,[status(thm)],[c_1954,c_54,c_53,c_55,c_1954]) ).
cnf(c_1960,plain,
( X0 != sK1
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v13_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_51,c_214]) ).
cnf(c_1961,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v13_lattices(k1_lattice2(sK1))
| v3_struct_0(sK1) ),
inference(unflattening,[status(thm)],[c_1960]) ).
cnf(c_1962,plain,
v13_lattices(k1_lattice2(sK1)),
inference(global_subsumption_just,[status(thm)],[c_1961,c_54,c_53,c_55,c_1961]) ).
cnf(c_1988,plain,
( sK28(k1_lattice2(sK1),X0) != k15_filter_2(sK1,X1)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| ~ r2_hidden(sK2,X1)
| ~ m2_filter_2(X1,sK1)
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| k5_lattices(k1_lattice2(sK1)) = X0
| v3_struct_0(k1_lattice2(sK1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1496,c_1962]) ).
cnf(c_2167,plain,
( X0 != X1
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v10_lattices(k1_lattice2(X1))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_145,c_384]) ).
cnf(c_2168,plain,
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0) ),
inference(unflattening,[status(thm)],[c_2167]) ).
cnf(c_2324,plain,
( k1_lattice2(sK1) != X0
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| k5_lattices(X0) = X1
| m1_filter_0(sK28(X0,X1),X0)
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_206,c_1962]) ).
cnf(c_2325,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| k5_lattices(k1_lattice2(sK1)) = X0
| m1_filter_0(sK28(k1_lattice2(sK1),X0),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(unflattening,[status(thm)],[c_2324]) ).
cnf(c_2345,plain,
( k1_lattice2(sK1) != X0
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| k5_lattices(X0) = X1
| r2_hidden(X1,sK28(X0,X1))
| v3_struct_0(X0) ),
inference(resolution_lifted,[status(thm)],[c_205,c_1962]) ).
cnf(c_2346,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| k5_lattices(k1_lattice2(sK1)) = X0
| r2_hidden(X0,sK28(k1_lattice2(sK1),X0))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(unflattening,[status(thm)],[c_2345]) ).
cnf(c_3486,plain,
( ~ l3_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_1570]) ).
cnf(c_3488,plain,
( ~ l3_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(prop_impl_just,[status(thm)],[c_1561]) ).
cnf(c_3490,plain,
( ~ l3_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_1680]) ).
cnf(c_3492,plain,
( ~ l3_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(prop_impl_just,[status(thm)],[c_1671]) ).
cnf(c_3494,plain,
( ~ l3_lattices(X0)
| m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_1552]) ).
cnf(c_3498,plain,
( ~ l3_lattices(X0)
| m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(prop_impl_just,[status(thm)],[c_1662]) ).
cnf(c_4332,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| k6_lattices(sK1) = X0
| r2_hidden(X0,sK28(k1_lattice2(sK1),X0))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(light_normalisation,[status(thm)],[c_2346,c_1955]) ).
cnf(c_4333,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| k6_lattices(sK1) = X0
| m1_filter_0(sK28(k1_lattice2(sK1),X0),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(light_normalisation,[status(thm)],[c_2325,c_1955]) ).
cnf(c_4334,plain,
( sK28(k1_lattice2(sK1),X0) != k15_filter_2(sK1,X1)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| ~ r2_hidden(sK2,X1)
| ~ m2_filter_2(X1,sK1)
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| k6_lattices(sK1) = X0
| v3_struct_0(k1_lattice2(sK1)) ),
inference(light_normalisation,[status(thm)],[c_1988,c_1955]) ).
cnf(c_5291,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| ~ m2_filter_2(X1,sK1)
| ~ r2_hidden(sK2,X1)
| sK28(k1_lattice2(sK1),X0) != k15_filter_2(sK1,X1)
| k6_lattices(sK1) = X0
| ~ sP0_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_4334]) ).
cnf(c_5293,plain,
( m1_filter_0(sK28(k1_lattice2(sK1),X0),k1_lattice2(sK1))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k6_lattices(sK1) = X0
| ~ sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_4333]) ).
cnf(c_5294,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| sP1_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4333]) ).
cnf(c_5295,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| r2_hidden(X0,sK28(k1_lattice2(sK1),X0))
| k6_lattices(sK1) = X0
| ~ sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_4332]) ).
cnf(c_5296,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| sP2_iProver_split ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4332]) ).
cnf(c_5297,plain,
X0 = X0,
theory(equality) ).
cnf(c_5299,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_5300,plain,
( X0 != X1
| X2 != X3
| ~ r2_hidden(X1,X3)
| r2_hidden(X0,X2) ),
theory(equality) ).
cnf(c_7464,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| v10_lattices(k1_lattice2(sK1))
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_2168]) ).
cnf(c_7551,plain,
( k6_lattices(sK1) != X0
| sK2 != X0
| k6_lattices(sK1) = sK2 ),
inference(instantiation,[status(thm)],[c_5299]) ).
cnf(c_7558,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k5_filter_2(sK1,sK2) = sK2
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_7622,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| m1_subset_1(k5_filter_2(sK1,sK2),u1_struct_0(k1_lattice2(sK1)))
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_7741,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_5294,c_54,c_53,c_55,c_5294,c_7464]) ).
cnf(c_7831,plain,
( ~ l3_lattices(sK1)
| l3_lattices(k1_lattice2(sK1)) ),
inference(instantiation,[status(thm)],[c_78]) ).
cnf(c_7977,plain,
( v3_struct_0(k1_lattice2(sK1))
| sP1_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_5294,c_53,c_7741,c_7831]) ).
cnf(c_7990,plain,
( v3_struct_0(k1_lattice2(sK1))
| sP2_iProver_split ),
inference(global_subsumption_just,[status(thm)],[c_5296,c_54,c_53,c_55,c_5296,c_7464,c_7831]) ).
cnf(c_8071,plain,
( ~ l3_lattices(sK1)
| v3_struct_0(sK1)
| sP2_iProver_split ),
inference(superposition,[status(thm)],[c_7990,c_116]) ).
cnf(c_8072,plain,
( ~ l3_lattices(sK1)
| v3_struct_0(sK1)
| sP1_iProver_split ),
inference(superposition,[status(thm)],[c_7977,c_116]) ).
cnf(c_9332,plain,
( k6_lattices(sK1) = X0
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| m1_filter_0(sK28(k1_lattice2(sK1),X0),k1_lattice2(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_5293,c_53,c_55,c_5293,c_8072]) ).
cnf(c_9333,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k6_lattices(sK1) = X0
| m1_filter_0(sK28(k1_lattice2(sK1),X0),k1_lattice2(sK1)) ),
inference(renaming,[status(thm)],[c_9332]) ).
cnf(c_9336,plain,
( ~ v3_struct_0(k1_lattice2(sK1))
| ~ l3_lattices(sK1)
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_9540,plain,
sK2 = sK2,
inference(instantiation,[status(thm)],[c_5297]) ).
cnf(c_9557,plain,
( k5_filter_2(sK1,sK2) != X0
| X1 != X0
| X1 = k5_filter_2(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_5299]) ).
cnf(c_9661,plain,
g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_53,c_70]) ).
cnf(c_9734,plain,
( ~ m1_subset_1(k5_filter_2(sK1,sK2),u1_struct_0(k1_lattice2(sK1)))
| ~ sP2_iProver_split
| k6_lattices(sK1) = k5_filter_2(sK1,sK2)
| r2_hidden(k5_filter_2(sK1,sK2),sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))) ),
inference(instantiation,[status(thm)],[c_5295]) ).
cnf(c_9928,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k5_filter_2(sK1,sK2) = sK2
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_52,c_71]) ).
cnf(c_9990,plain,
k5_filter_2(sK1,sK2) = sK2,
inference(global_subsumption_just,[status(thm)],[c_9928,c_54,c_53,c_55,c_52,c_7558]) ).
cnf(c_10026,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1)))
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_9990,c_80]) ).
cnf(c_10272,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),X0)) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),X0))
| k6_lattices(sK1) = X0
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_9333,c_196]) ).
cnf(c_10376,plain,
( k6_lattices(sK1) = X0
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),X0)) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),X0))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1))) ),
inference(global_subsumption_just,[status(thm)],[c_10272,c_54,c_53,c_55,c_10272]) ).
cnf(c_10377,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),X0)) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),X0))
| k6_lattices(sK1) = X0 ),
inference(renaming,[status(thm)],[c_10376]) ).
cnf(c_10379,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0)))
| k5_filter_2(sK1,X0) = k6_lattices(sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_80,c_10377]) ).
cnf(c_10451,plain,
( k5_filter_2(sK1,X0) = k6_lattices(sK1)
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0)))
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_10379,c_54,c_53,c_55,c_10379]) ).
cnf(c_10452,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0)))
| k5_filter_2(sK1,X0) = k6_lattices(sK1) ),
inference(renaming,[status(thm)],[c_10451]) ).
cnf(c_10559,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u2_lattices(sK1) = X2 ),
inference(superposition,[status(thm)],[c_9661,c_146]) ).
cnf(c_10805,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_lattices(sK1) = X1 ),
inference(superposition,[status(thm)],[c_9661,c_147]) ).
cnf(c_10906,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_struct_0(sK1) = X0 ),
inference(superposition,[status(thm)],[c_9661,c_148]) ).
cnf(c_12214,plain,
g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_53,c_70]) ).
cnf(c_12381,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
inference(superposition,[status(thm)],[c_79,c_56]) ).
cnf(c_12959,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u2_lattices(sK1) = X2 ),
inference(superposition,[status(thm)],[c_12214,c_146]) ).
cnf(c_12970,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_lattices(sK1) = X1 ),
inference(superposition,[status(thm)],[c_12214,c_147]) ).
cnf(c_12991,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_struct_0(sK1) = X0 ),
inference(superposition,[status(thm)],[c_12214,c_148]) ).
cnf(c_12996,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| u1_struct_0(sK1) = X0 ),
inference(superposition,[status(thm)],[c_12214,c_148]) ).
cnf(c_13867,plain,
( k6_lattices(sK1) != k5_filter_2(sK1,sK2)
| sK2 != k5_filter_2(sK1,sK2)
| k6_lattices(sK1) = sK2 ),
inference(instantiation,[status(thm)],[c_7551]) ).
cnf(c_14177,plain,
( ~ m1_subset_1(k5_filter_2(sK1,sK2),u1_struct_0(k1_lattice2(sK1)))
| ~ sP1_iProver_split
| k6_lattices(sK1) = k5_filter_2(sK1,sK2)
| m1_filter_0(sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)),k1_lattice2(sK1)) ),
inference(instantiation,[status(thm)],[c_5293]) ).
cnf(c_14778,plain,
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_12381,c_78,c_1793]) ).
cnf(c_14780,plain,
g3_lattices(u1_struct_0(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1))) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_53,c_14778]) ).
cnf(c_14807,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_14780,c_12991]) ).
cnf(c_14808,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) ),
inference(superposition,[status(thm)],[c_14780,c_12970]) ).
cnf(c_14809,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) ),
inference(superposition,[status(thm)],[c_14780,c_12959]) ).
cnf(c_14810,plain,
( ~ m1_relset_1(u2_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ m1_relset_1(u1_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_2(u2_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_2(u1_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_1(u2_lattices(k1_lattice2(sK1)))
| ~ v1_funct_1(u1_lattices(k1_lattice2(sK1)))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_14780,c_12996]) ).
cnf(c_15087,plain,
( k5_filter_2(sK1,sK2) != sK2
| X0 != sK2
| X0 = k5_filter_2(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_9557]) ).
cnf(c_15249,plain,
( ~ l3_lattices(sK1)
| v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(instantiation,[status(thm)],[c_3486]) ).
cnf(c_15252,plain,
( ~ l3_lattices(sK1)
| v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(instantiation,[status(thm)],[c_3490]) ).
cnf(c_15305,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_14807,c_53,c_14807,c_15249,c_15252]) ).
cnf(c_15307,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ l3_lattices(sK1)
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_3494,c_15305]) ).
cnf(c_15397,plain,
( ~ m1_relset_1(u2_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_2(u2_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_2(u1_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_1(u2_lattices(k1_lattice2(sK1)))
| ~ v1_funct_1(u1_lattices(k1_lattice2(sK1)))
| ~ l3_lattices(k1_lattice2(sK1))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_3494,c_14810]) ).
cnf(c_17598,plain,
( ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_15307,c_53,c_15307]) ).
cnf(c_17599,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(renaming,[status(thm)],[c_17598]) ).
cnf(c_17600,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| ~ l3_lattices(sK1)
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_3498,c_17599]) ).
cnf(c_19510,plain,
g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_53,c_70]) ).
cnf(c_19511,plain,
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0))) = k1_lattice2(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_78,c_70]) ).
cnf(c_19689,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
inference(superposition,[status(thm)],[c_79,c_56]) ).
cnf(c_19938,plain,
( k5_filter_2(sK1,sK2) != sK2
| sK2 != sK2
| sK2 = k5_filter_2(sK1,sK2) ),
inference(instantiation,[status(thm)],[c_15087]) ).
cnf(c_20250,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u2_lattices(sK1) = X2 ),
inference(superposition,[status(thm)],[c_19510,c_146]) ).
cnf(c_20271,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_lattices(sK1) = X1 ),
inference(superposition,[status(thm)],[c_19510,c_147]) ).
cnf(c_20277,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| u1_lattices(sK1) = X1 ),
inference(superposition,[status(thm)],[c_19510,c_147]) ).
cnf(c_20292,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_struct_0(sK1) = X0 ),
inference(superposition,[status(thm)],[c_19510,c_148]) ).
cnf(c_20298,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| u1_struct_0(sK1) = X0 ),
inference(superposition,[status(thm)],[c_19510,c_148]) ).
cnf(c_20418,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u2_lattices(sK1) = X2 ),
inference(global_subsumption_just,[status(thm)],[c_20250,c_53,c_10559,c_15249,c_15252]) ).
cnf(c_20457,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_lattices(sK1) = X1 ),
inference(global_subsumption_just,[status(thm)],[c_20271,c_53,c_10805,c_15249,c_15252]) ).
cnf(c_20498,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_struct_0(sK1) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_20292,c_53,c_10906,c_15249,c_15252]) ).
cnf(c_22025,plain,
g3_lattices(u1_struct_0(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1))) = k1_lattice2(k1_lattice2(sK1)),
inference(superposition,[status(thm)],[c_53,c_19511]) ).
cnf(c_22038,plain,
( k1_lattice2(k1_lattice2(sK1)) != k1_lattice2(sK1)
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_22025,c_20498]) ).
cnf(c_22041,plain,
( k1_lattice2(k1_lattice2(sK1)) != k1_lattice2(sK1)
| ~ m1_relset_1(u2_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ m1_relset_1(u1_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_2(u2_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_2(u1_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_1(u2_lattices(k1_lattice2(sK1)))
| ~ v1_funct_1(u1_lattices(k1_lattice2(sK1)))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_22025,c_20298]) ).
cnf(c_22114,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_22038,c_53,c_17600]) ).
cnf(c_22116,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ l3_lattices(sK1)
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_3488,c_22114]) ).
cnf(c_22310,plain,
( ~ m1_relset_1(u2_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_2(u2_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_2(u1_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_1(u2_lattices(k1_lattice2(sK1)))
| ~ v1_funct_1(u1_lattices(k1_lattice2(sK1)))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_22041,c_53,c_7831,c_15397]) ).
cnf(c_22312,plain,
( ~ v1_funct_2(u2_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_2(u1_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_1(u2_lattices(k1_lattice2(sK1)))
| ~ v1_funct_1(u1_lattices(k1_lattice2(sK1)))
| ~ l3_lattices(k1_lattice2(sK1))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_3498,c_22310]) ).
cnf(c_22537,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_22116,c_53,c_22116]) ).
cnf(c_22539,plain,
( ~ l3_lattices(sK1)
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_3492,c_22537]) ).
cnf(c_22780,plain,
u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1),
inference(global_subsumption_just,[status(thm)],[c_22312,c_53,c_22539]) ).
cnf(c_22786,plain,
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_22780,c_89]) ).
cnf(c_22800,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| m1_relset_1(u2_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_22780,c_3498]) ).
cnf(c_22801,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| m1_relset_1(u1_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_22780,c_3494]) ).
cnf(c_22802,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| v1_funct_2(u2_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_22780,c_3490]) ).
cnf(c_22803,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| v1_funct_2(u1_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_22780,c_3486]) ).
cnf(c_22807,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k8_filter_2(sK1,X0) = X0
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_22780,c_73]) ).
cnf(c_24804,plain,
( ~ l3_lattices(sK1)
| m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(instantiation,[status(thm)],[c_3494]) ).
cnf(c_24805,plain,
( ~ l3_lattices(sK1)
| m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(instantiation,[status(thm)],[c_3498]) ).
cnf(c_24900,plain,
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_19689,c_78,c_1793]) ).
cnf(c_24902,plain,
g3_lattices(u1_struct_0(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1))) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_53,c_24900]) ).
cnf(c_25129,plain,
g3_lattices(u1_struct_0(sK1),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1))) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_22780,c_24902]) ).
cnf(c_25138,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) ),
inference(superposition,[status(thm)],[c_24902,c_20457]) ).
cnf(c_25139,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) ),
inference(superposition,[status(thm)],[c_24902,c_20418]) ).
cnf(c_25141,plain,
( ~ m1_relset_1(u2_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ m1_relset_1(u1_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_2(u2_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_2(u1_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(k1_lattice2(sK1)),u1_struct_0(k1_lattice2(sK1))),u1_struct_0(k1_lattice2(sK1)))
| ~ v1_funct_1(u2_lattices(k1_lattice2(sK1)))
| ~ v1_funct_1(u1_lattices(k1_lattice2(sK1)))
| u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) ),
inference(superposition,[status(thm)],[c_24902,c_20277]) ).
cnf(c_25200,plain,
( ~ m1_relset_1(u2_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u1_lattices(k1_lattice2(sK1)),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(k1_lattice2(sK1)))
| ~ v1_funct_1(u1_lattices(k1_lattice2(sK1)))
| u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) ),
inference(superposition,[status(thm)],[c_25129,c_20277]) ).
cnf(c_25241,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_25138,c_53,c_14808,c_15249,c_15252,c_24804,c_24805]) ).
cnf(c_25243,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ l3_lattices(sK1)
| u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) ),
inference(superposition,[status(thm)],[c_3488,c_25241]) ).
cnf(c_25254,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_1(u1_lattices(sK1))
| u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_25139,c_53,c_14809,c_15249,c_15252,c_24804,c_24805]) ).
cnf(c_25256,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| ~ l3_lattices(sK1)
| u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) ),
inference(superposition,[status(thm)],[c_3488,c_25254]) ).
cnf(c_25467,plain,
( ~ v1_funct_1(u2_lattices(k1_lattice2(sK1)))
| ~ v1_funct_1(u1_lattices(k1_lattice2(sK1)))
| u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_25141,c_53,c_7831,c_22803,c_22802,c_22801,c_22800,c_25200]) ).
cnf(c_25469,plain,
( ~ v1_funct_1(u2_lattices(k1_lattice2(sK1)))
| ~ l3_lattices(k1_lattice2(sK1))
| u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) ),
inference(superposition,[status(thm)],[c_3488,c_25467]) ).
cnf(c_26020,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_25243,c_53,c_25243]) ).
cnf(c_26022,plain,
( ~ l3_lattices(sK1)
| u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) ),
inference(superposition,[status(thm)],[c_3492,c_26020]) ).
cnf(c_26033,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) ),
inference(global_subsumption_just,[status(thm)],[c_25256,c_53,c_25256]) ).
cnf(c_26035,plain,
( ~ l3_lattices(sK1)
| u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) ),
inference(superposition,[status(thm)],[c_3492,c_26033]) ).
cnf(c_26047,plain,
u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1),
inference(global_subsumption_just,[status(thm)],[c_25469,c_53,c_26022]) ).
cnf(c_26052,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| v1_funct_1(u1_lattices(sK1)) ),
inference(superposition,[status(thm)],[c_26047,c_3492]) ).
cnf(c_26085,plain,
u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1),
inference(global_subsumption_just,[status(thm)],[c_26035,c_53,c_26035]) ).
cnf(c_26090,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| v1_funct_1(u2_lattices(sK1)) ),
inference(superposition,[status(thm)],[c_26085,c_3488]) ).
cnf(c_33556,plain,
( ~ m1_filter_0(sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)),k1_lattice2(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_196]) ).
cnf(c_33559,plain,
( ~ m1_filter_0(sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)),k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| m1_subset_1(sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_34863,plain,
( k6_lattices(sK1) = X0
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| m1_filter_0(sK28(k1_lattice2(sK1),X0),k1_lattice2(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_5293,c_54,c_53,c_55,c_4333,c_7464,c_7831,c_9336]) ).
cnf(c_34864,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k6_lattices(sK1) = X0
| m1_filter_0(sK28(k1_lattice2(sK1),X0),k1_lattice2(sK1)) ),
inference(renaming,[status(thm)],[c_34863]) ).
cnf(c_34936,plain,
( k6_lattices(sK1) = X0
| sK28(k1_lattice2(sK1),X0) != k15_filter_2(sK1,X1)
| ~ r2_hidden(sK2,X1)
| ~ m2_filter_2(X1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1))) ),
inference(global_subsumption_just,[status(thm)],[c_5291,c_54,c_53,c_55,c_4334,c_7464,c_7831,c_9336]) ).
cnf(c_34937,plain,
( sK28(k1_lattice2(sK1),X0) != k15_filter_2(sK1,X1)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| ~ r2_hidden(sK2,X1)
| ~ m2_filter_2(X1,sK1)
| k6_lattices(sK1) = X0 ),
inference(renaming,[status(thm)],[c_34936]) ).
cnf(c_35365,plain,
g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_53,c_70]) ).
cnf(c_35571,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
inference(superposition,[status(thm)],[c_79,c_56]) ).
cnf(c_36233,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k5_filter_2(sK1,sK2) = sK2
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_52,c_71]) ).
cnf(c_36354,plain,
k5_filter_2(sK1,sK2) = sK2,
inference(global_subsumption_just,[status(thm)],[c_36233,c_54,c_53,c_55,c_52,c_7558]) ).
cnf(c_36356,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1)))
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_36354,c_80]) ).
cnf(c_36372,plain,
m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1))),
inference(global_subsumption_just,[status(thm)],[c_36356,c_54,c_53,c_55,c_52,c_10026]) ).
cnf(c_36478,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),X0)) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),X0))
| k6_lattices(sK1) = X0
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_34864,c_196]) ).
cnf(c_36607,plain,
( k6_lattices(sK1) = X0
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),X0)) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),X0))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1))) ),
inference(global_subsumption_just,[status(thm)],[c_36478,c_54,c_53,c_55,c_10272]) ).
cnf(c_36608,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),X0)) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),X0))
| k6_lattices(sK1) = X0 ),
inference(renaming,[status(thm)],[c_36607]) ).
cnf(c_36609,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0)))
| k5_filter_2(sK1,X0) = k6_lattices(sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_80,c_36608]) ).
cnf(c_36687,plain,
( k5_filter_2(sK1,X0) = k6_lattices(sK1)
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0)))
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_36609,c_54,c_53,c_55,c_10379]) ).
cnf(c_36688,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0)))
| k5_filter_2(sK1,X0) = k6_lattices(sK1) ),
inference(renaming,[status(thm)],[c_36687]) ).
cnf(c_36689,plain,
( k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))
| k5_filter_2(sK1,sK2) = k6_lattices(sK1) ),
inference(superposition,[status(thm)],[c_52,c_36688]) ).
cnf(c_36691,plain,
k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))),
inference(global_subsumption_just,[status(thm)],[c_36689,c_54,c_53,c_55,c_52,c_50,c_7558,c_7622,c_8072,c_9540,c_13867,c_14177,c_19938,c_33556]) ).
cnf(c_36694,plain,
( ~ m1_filter_0(sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)),k1_lattice2(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| m2_filter_2(k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))),sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_36691,c_76]) ).
cnf(c_36729,plain,
m2_filter_2(k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))),sK1),
inference(global_subsumption_just,[status(thm)],[c_36694,c_54,c_53,c_55,c_52,c_50,c_7558,c_7622,c_8072,c_9540,c_13867,c_14177,c_19938,c_36694]) ).
cnf(c_36732,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k7_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))) = k15_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))))
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_36729,c_197]) ).
cnf(c_36929,plain,
k7_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))) = k15_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))),
inference(global_subsumption_just,[status(thm)],[c_36732,c_54,c_53,c_55,c_36732]) ).
cnf(c_36932,plain,
( k7_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))) != sK28(k1_lattice2(sK1),X0)
| ~ r2_hidden(sK2,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))))
| ~ m2_filter_2(k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))),sK1)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k6_lattices(sK1) = X0 ),
inference(superposition,[status(thm)],[c_36929,c_34937]) ).
cnf(c_37013,plain,
( ~ r2_hidden(sK2,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))))
| k7_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))) != sK28(k1_lattice2(sK1),X0)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k6_lattices(sK1) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_36932,c_54,c_53,c_55,c_52,c_50,c_7558,c_7622,c_8072,c_9540,c_13867,c_14177,c_19938,c_36694,c_36932]) ).
cnf(c_37014,plain,
( k7_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))) != sK28(k1_lattice2(sK1),X0)
| ~ r2_hidden(sK2,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k6_lattices(sK1) = X0 ),
inference(renaming,[status(thm)],[c_37013]) ).
cnf(c_37016,plain,
( k7_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),sK2))) != sK28(k1_lattice2(sK1),X0)
| ~ r2_hidden(sK2,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k6_lattices(sK1) = X0 ),
inference(superposition,[status(thm)],[c_36354,c_37014]) ).
cnf(c_37091,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| u1_struct_0(sK1) = X0 ),
inference(superposition,[status(thm)],[c_35365,c_148]) ).
cnf(c_37171,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_37091,c_53,c_7831,c_10906,c_15249,c_15252,c_24804,c_24805,c_26052,c_26090]) ).
cnf(c_42131,plain,
( ~ m1_subset_1(sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| m1_subset_1(k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))),k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_84]) ).
cnf(c_42132,plain,
( ~ m1_subset_1(sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))) = sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_73]) ).
cnf(c_46906,plain,
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_35571,c_78,c_1793]) ).
cnf(c_46908,plain,
g3_lattices(u1_struct_0(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1))) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_53,c_46906]) ).
cnf(c_46929,plain,
u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1),
inference(superposition,[status(thm)],[c_46908,c_37171]) ).
cnf(c_46978,plain,
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_46929,c_89]) ).
cnf(c_47021,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k8_filter_2(sK1,X0) = X0
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_46929,c_73]) ).
cnf(c_49847,plain,
( k8_filter_2(sK1,X0) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(global_subsumption_just,[status(thm)],[c_47021,c_54,c_53,c_55,c_22807]) ).
cnf(c_49848,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| k8_filter_2(sK1,X0) = X0 ),
inference(renaming,[status(thm)],[c_49847]) ).
cnf(c_49917,plain,
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_filter_0(X0,k1_lattice2(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_46978,c_54,c_53,c_55,c_7464,c_7831,c_9336,c_22786]) ).
cnf(c_49918,plain,
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(renaming,[status(thm)],[c_49917]) ).
cnf(c_49921,plain,
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k7_filter_2(sK1,X0) = X0
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_49918,c_72]) ).
cnf(c_49926,plain,
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| k8_filter_2(sK1,X0) = X0 ),
inference(superposition,[status(thm)],[c_49918,c_49848]) ).
cnf(c_53271,plain,
( X0 != k5_filter_2(sK1,sK2)
| X1 != sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))
| ~ r2_hidden(k5_filter_2(sK1,sK2),sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))
| r2_hidden(X0,X1) ),
inference(instantiation,[status(thm)],[c_5300]) ).
cnf(c_60040,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),X0)) = sK28(k1_lattice2(sK1),X0)
| k6_lattices(sK1) = X0 ),
inference(superposition,[status(thm)],[c_34864,c_49926]) ).
cnf(c_60551,plain,
( k8_filter_2(sK1,sK28(k1_lattice2(sK1),sK2)) = sK28(k1_lattice2(sK1),sK2)
| k6_lattices(sK1) = sK2 ),
inference(superposition,[status(thm)],[c_36372,c_60040]) ).
cnf(c_67532,plain,
( ~ m1_subset_1(k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k7_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))) = k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))
| v3_struct_0(sK1) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_67534,plain,
( k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))) != sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))
| X0 != k5_filter_2(sK1,sK2)
| ~ r2_hidden(k5_filter_2(sK1,sK2),sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))
| r2_hidden(X0,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))) ),
inference(instantiation,[status(thm)],[c_53271]) ).
cnf(c_74311,plain,
( k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))) != sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))
| sK2 != k5_filter_2(sK1,sK2)
| ~ r2_hidden(k5_filter_2(sK1,sK2),sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))
| r2_hidden(sK2,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))) ),
inference(instantiation,[status(thm)],[c_67534]) ).
cnf(c_133963,plain,
( k6_lattices(sK1) = X0
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| m1_filter_0(sK28(k1_lattice2(sK1),X0),k1_lattice2(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_5293,c_54,c_53,c_55,c_4333,c_7464,c_7831,c_9336]) ).
cnf(c_133964,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k6_lattices(sK1) = X0
| m1_filter_0(sK28(k1_lattice2(sK1),X0),k1_lattice2(sK1)) ),
inference(renaming,[status(thm)],[c_133963]) ).
cnf(c_134472,plain,
g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_53,c_70]) ).
cnf(c_134473,plain,
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0))) = k1_lattice2(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_78,c_70]) ).
cnf(c_135141,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k5_filter_2(sK1,sK2) = sK2
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_52,c_71]) ).
cnf(c_135162,plain,
k5_filter_2(sK1,sK2) = sK2,
inference(global_subsumption_just,[status(thm)],[c_135141,c_54,c_53,c_55,c_52,c_7558]) ).
cnf(c_135223,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1)))
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_135162,c_80]) ).
cnf(c_135272,plain,
m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1))),
inference(global_subsumption_just,[status(thm)],[c_135223,c_54,c_53,c_55,c_52,c_10026]) ).
cnf(c_135298,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),X0)) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),X0))
| k6_lattices(sK1) = X0
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_133964,c_196]) ).
cnf(c_135327,plain,
( k6_lattices(sK1) = X0
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),X0)) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),X0))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1))) ),
inference(global_subsumption_just,[status(thm)],[c_135298,c_10377]) ).
cnf(c_135328,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),X0)) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),X0))
| k6_lattices(sK1) = X0 ),
inference(renaming,[status(thm)],[c_135327]) ).
cnf(c_135329,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0)))
| k5_filter_2(sK1,X0) = k6_lattices(sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_80,c_135328]) ).
cnf(c_135340,plain,
( k5_filter_2(sK1,X0) = k6_lattices(sK1)
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0)))
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_135329,c_10452]) ).
cnf(c_135341,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0)))
| k5_filter_2(sK1,X0) = k6_lattices(sK1) ),
inference(renaming,[status(thm)],[c_135340]) ).
cnf(c_135342,plain,
( k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))
| k5_filter_2(sK1,sK2) = k6_lattices(sK1) ),
inference(superposition,[status(thm)],[c_52,c_135341]) ).
cnf(c_135344,plain,
k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))),
inference(global_subsumption_just,[status(thm)],[c_135342,c_54,c_53,c_55,c_52,c_50,c_7558,c_7622,c_8072,c_9540,c_13867,c_14177,c_19938,c_33556]) ).
cnf(c_135347,plain,
( ~ m1_filter_0(sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)),k1_lattice2(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| m2_filter_2(k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))),sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_135344,c_76]) ).
cnf(c_135348,plain,
m2_filter_2(k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))),sK1),
inference(global_subsumption_just,[status(thm)],[c_135347,c_54,c_53,c_55,c_52,c_50,c_7558,c_7622,c_8072,c_9540,c_13867,c_14177,c_19938,c_36694]) ).
cnf(c_135447,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| u1_struct_0(sK1) = X0 ),
inference(superposition,[status(thm)],[c_134472,c_148]) ).
cnf(c_135490,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_135447,c_53,c_7831,c_10906,c_15249,c_15252,c_24804,c_24805,c_26052,c_26090]) ).
cnf(c_156693,plain,
( ~ m2_filter_2(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k7_filter_2(X1,X0) = X0
| v3_struct_0(X1) ),
inference(superposition,[status(thm)],[c_1850,c_72]) ).
cnf(c_167768,plain,
g3_lattices(u1_struct_0(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1))) = k1_lattice2(k1_lattice2(sK1)),
inference(superposition,[status(thm)],[c_53,c_134473]) ).
cnf(c_167782,plain,
( k1_lattice2(k1_lattice2(sK1)) != k1_lattice2(sK1)
| u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_167768,c_135490]) ).
cnf(c_168009,plain,
u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1),
inference(global_subsumption_just,[status(thm)],[c_167782,c_53,c_22539]) ).
cnf(c_168016,plain,
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_168009,c_89]) ).
cnf(c_168040,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k8_filter_2(sK1,X0) = X0
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_168009,c_73]) ).
cnf(c_182950,plain,
( k8_filter_2(sK1,X0) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(global_subsumption_just,[status(thm)],[c_168040,c_49848]) ).
cnf(c_182951,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| k8_filter_2(sK1,X0) = X0 ),
inference(renaming,[status(thm)],[c_182950]) ).
cnf(c_183398,plain,
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_filter_0(X0,k1_lattice2(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_168016,c_54,c_53,c_55,c_7464,c_7831,c_9336,c_22786]) ).
cnf(c_183399,plain,
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(renaming,[status(thm)],[c_183398]) ).
cnf(c_183405,plain,
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| k8_filter_2(sK1,X0) = X0 ),
inference(superposition,[status(thm)],[c_183399,c_182951]) ).
cnf(c_197573,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k7_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))) = k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_135348,c_156693]) ).
cnf(c_198830,plain,
k7_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))) = k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))),
inference(global_subsumption_just,[status(thm)],[c_197573,c_54,c_53,c_55,c_52,c_50,c_7464,c_7558,c_7622,c_7831,c_8072,c_9336,c_9540,c_13867,c_14177,c_19938,c_33559,c_42131,c_67532]) ).
cnf(c_198832,plain,
k7_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),sK2))) = k8_filter_2(sK1,sK28(k1_lattice2(sK1),sK2)),
inference(superposition,[status(thm)],[c_135162,c_198830]) ).
cnf(c_201027,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),X0)) = sK28(k1_lattice2(sK1),X0)
| k6_lattices(sK1) = X0 ),
inference(superposition,[status(thm)],[c_133964,c_183405]) ).
cnf(c_201053,plain,
( k8_filter_2(sK1,sK28(k1_lattice2(sK1),sK2)) = sK28(k1_lattice2(sK1),sK2)
| k6_lattices(sK1) = sK2 ),
inference(superposition,[status(thm)],[c_135272,c_201027]) ).
cnf(c_201135,plain,
k8_filter_2(sK1,sK28(k1_lattice2(sK1),sK2)) = sK28(k1_lattice2(sK1),sK2),
inference(global_subsumption_just,[status(thm)],[c_201053,c_50,c_60551]) ).
cnf(c_201148,plain,
k7_filter_2(sK1,sK28(k1_lattice2(sK1),sK2)) = sK28(k1_lattice2(sK1),sK2),
inference(superposition,[status(thm)],[c_201135,c_198832]) ).
cnf(c_227092,plain,
( k6_lattices(sK1) = X0
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| m1_filter_0(sK28(k1_lattice2(sK1),X0),k1_lattice2(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_5293,c_54,c_53,c_55,c_4333,c_7464,c_7831,c_9336]) ).
cnf(c_227093,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k6_lattices(sK1) = X0
| m1_filter_0(sK28(k1_lattice2(sK1),X0),k1_lattice2(sK1)) ),
inference(renaming,[status(thm)],[c_227092]) ).
cnf(c_227107,plain,
( k6_lattices(sK1) = X0
| sK28(k1_lattice2(sK1),X0) != k15_filter_2(sK1,X1)
| ~ r2_hidden(sK2,X1)
| ~ m2_filter_2(X1,sK1)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1))) ),
inference(global_subsumption_just,[status(thm)],[c_5291,c_54,c_53,c_55,c_4334,c_7464,c_7831,c_9336]) ).
cnf(c_227108,plain,
( sK28(k1_lattice2(sK1),X0) != k15_filter_2(sK1,X1)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| ~ r2_hidden(sK2,X1)
| ~ m2_filter_2(X1,sK1)
| k6_lattices(sK1) = X0 ),
inference(renaming,[status(thm)],[c_227107]) ).
cnf(c_227650,plain,
g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_53,c_70]) ).
cnf(c_227764,plain,
( ~ l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
inference(superposition,[status(thm)],[c_79,c_56]) ).
cnf(c_227835,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k5_filter_2(sK1,sK2) = sK2
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_52,c_71]) ).
cnf(c_227886,plain,
k5_filter_2(sK1,sK2) = sK2,
inference(global_subsumption_just,[status(thm)],[c_227835,c_54,c_53,c_55,c_52,c_7558]) ).
cnf(c_227968,plain,
( ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1)))
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_227886,c_80]) ).
cnf(c_228023,plain,
m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1))),
inference(global_subsumption_just,[status(thm)],[c_227968,c_54,c_53,c_55,c_52,c_10026]) ).
cnf(c_228088,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),X0)) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),X0))
| k6_lattices(sK1) = X0
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_227093,c_196]) ).
cnf(c_228194,plain,
( k6_lattices(sK1) = X0
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),X0)) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),X0))
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1))) ),
inference(global_subsumption_just,[status(thm)],[c_228088,c_54,c_53,c_55,c_10272]) ).
cnf(c_228195,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),X0)) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),X0))
| k6_lattices(sK1) = X0 ),
inference(renaming,[status(thm)],[c_228194]) ).
cnf(c_228196,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0)))
| k5_filter_2(sK1,X0) = k6_lattices(sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_80,c_228195]) ).
cnf(c_228239,plain,
( k5_filter_2(sK1,X0) = k6_lattices(sK1)
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0)))
| ~ m1_subset_1(X0,u1_struct_0(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_228196,c_54,c_53,c_55,c_10379]) ).
cnf(c_228240,plain,
( ~ m1_subset_1(X0,u1_struct_0(sK1))
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,X0)))
| k5_filter_2(sK1,X0) = k6_lattices(sK1) ),
inference(renaming,[status(thm)],[c_228239]) ).
cnf(c_228241,plain,
( k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))
| k5_filter_2(sK1,sK2) = k6_lattices(sK1) ),
inference(superposition,[status(thm)],[c_52,c_228240]) ).
cnf(c_228249,plain,
k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))) = k14_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))),
inference(global_subsumption_just,[status(thm)],[c_228241,c_54,c_53,c_55,c_52,c_50,c_7558,c_7622,c_8072,c_9540,c_13867,c_14177,c_19938,c_33556]) ).
cnf(c_228252,plain,
( ~ m1_filter_0(sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)),k1_lattice2(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| m2_filter_2(k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))),sK1)
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_228249,c_76]) ).
cnf(c_228253,plain,
m2_filter_2(k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))),sK1),
inference(global_subsumption_just,[status(thm)],[c_228252,c_54,c_53,c_55,c_52,c_50,c_7558,c_7622,c_8072,c_9540,c_13867,c_14177,c_19938,c_36694]) ).
cnf(c_228256,plain,
( ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k7_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))) = k15_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2))))
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_228253,c_197]) ).
cnf(c_228328,plain,
k7_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))) = k15_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),k5_filter_2(sK1,sK2)))),
inference(global_subsumption_just,[status(thm)],[c_228256,c_54,c_53,c_55,c_36732]) ).
cnf(c_228330,plain,
k7_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),sK2))) = k15_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),sK2))),
inference(superposition,[status(thm)],[c_227886,c_228328]) ).
cnf(c_228332,plain,
( k7_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),sK2))) != sK28(k1_lattice2(sK1),X0)
| ~ r2_hidden(sK2,k8_filter_2(sK1,sK28(k1_lattice2(sK1),sK2)))
| ~ m2_filter_2(k8_filter_2(sK1,sK28(k1_lattice2(sK1),sK2)),sK1)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k6_lattices(sK1) = X0 ),
inference(superposition,[status(thm)],[c_228330,c_227108]) ).
cnf(c_228339,plain,
( k7_filter_2(sK1,k8_filter_2(sK1,sK28(k1_lattice2(sK1),sK2))) != sK28(k1_lattice2(sK1),X0)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k6_lattices(sK1) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_228332,c_54,c_53,c_55,c_52,c_50,c_7464,c_7558,c_7622,c_7831,c_8072,c_8071,c_9336,c_9540,c_9734,c_13867,c_14177,c_19938,c_33559,c_37016,c_42132,c_74311]) ).
cnf(c_228358,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X2)
| u1_struct_0(sK1) = X0 ),
inference(superposition,[status(thm)],[c_227650,c_148]) ).
cnf(c_228448,plain,
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0 ),
inference(global_subsumption_just,[status(thm)],[c_228358,c_53,c_7831,c_10906,c_15249,c_15252,c_24804,c_24805,c_26052,c_26090]) ).
cnf(c_229371,plain,
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_227764,c_1795]) ).
cnf(c_229373,plain,
g3_lattices(u1_struct_0(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1))) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_53,c_229371]) ).
cnf(c_229380,plain,
u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1),
inference(superposition,[status(thm)],[c_229373,c_228448]) ).
cnf(c_229442,plain,
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_229380,c_89]) ).
cnf(c_229456,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k8_filter_2(sK1,X0) = X0
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_229380,c_73]) ).
cnf(c_231795,plain,
( k8_filter_2(sK1,X0) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(global_subsumption_just,[status(thm)],[c_229456,c_54,c_53,c_55,c_22807]) ).
cnf(c_231796,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| k8_filter_2(sK1,X0) = X0 ),
inference(renaming,[status(thm)],[c_231795]) ).
cnf(c_232316,plain,
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_filter_0(X0,k1_lattice2(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_229442,c_49918]) ).
cnf(c_232317,plain,
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(renaming,[status(thm)],[c_232316]) ).
cnf(c_232319,plain,
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| k7_filter_2(sK1,X0) = X0
| v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_232317,c_72]) ).
cnf(c_232323,plain,
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| k8_filter_2(sK1,X0) = X0 ),
inference(superposition,[status(thm)],[c_232317,c_231796]) ).
cnf(c_235100,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k8_filter_2(sK1,sK28(k1_lattice2(sK1),X0)) = sK28(k1_lattice2(sK1),X0)
| k6_lattices(sK1) = X0 ),
inference(superposition,[status(thm)],[c_227093,c_232323]) ).
cnf(c_235105,plain,
( k8_filter_2(sK1,sK28(k1_lattice2(sK1),sK2)) = sK28(k1_lattice2(sK1),sK2)
| k6_lattices(sK1) = sK2 ),
inference(superposition,[status(thm)],[c_228023,c_235100]) ).
cnf(c_235108,plain,
k8_filter_2(sK1,sK28(k1_lattice2(sK1),sK2)) = sK28(k1_lattice2(sK1),sK2),
inference(global_subsumption_just,[status(thm)],[c_235105,c_50,c_60551]) ).
cnf(c_235111,plain,
( k7_filter_2(sK1,sK28(k1_lattice2(sK1),sK2)) != sK28(k1_lattice2(sK1),X0)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k6_lattices(sK1) = X0 ),
inference(superposition,[status(thm)],[c_235108,c_228339]) ).
cnf(c_243750,plain,
( k7_filter_2(sK1,X0) = X0
| ~ m1_filter_0(X0,k1_lattice2(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_232319,c_54,c_53,c_55,c_49921]) ).
cnf(c_243751,plain,
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| k7_filter_2(sK1,X0) = X0 ),
inference(renaming,[status(thm)],[c_243750]) ).
cnf(c_243754,plain,
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k7_filter_2(sK1,sK28(k1_lattice2(sK1),X0)) = sK28(k1_lattice2(sK1),X0)
| k6_lattices(sK1) = X0 ),
inference(superposition,[status(thm)],[c_227093,c_243751]) ).
cnf(c_243763,plain,
( k7_filter_2(sK1,sK28(k1_lattice2(sK1),sK2)) = sK28(k1_lattice2(sK1),sK2)
| k6_lattices(sK1) = sK2 ),
inference(superposition,[status(thm)],[c_228023,c_243754]) ).
cnf(c_243772,plain,
k7_filter_2(sK1,sK28(k1_lattice2(sK1),sK2)) = sK28(k1_lattice2(sK1),sK2),
inference(global_subsumption_just,[status(thm)],[c_243763,c_201148]) ).
cnf(c_268810,plain,
( sK28(k1_lattice2(sK1),X0) != sK28(k1_lattice2(sK1),sK2)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK1)))
| k6_lattices(sK1) = X0 ),
inference(superposition,[status(thm)],[c_243772,c_235111]) ).
cnf(c_268811,plain,
( ~ m1_subset_1(sK2,u1_struct_0(k1_lattice2(sK1)))
| k6_lattices(sK1) = sK2 ),
inference(equality_resolution,[status(thm)],[c_268810]) ).
cnf(c_268812,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_268811,c_10026,c_50,c_52,c_55,c_53,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT309+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 07:56:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 126.30/17.84 % SZS status Started for theBenchmark.p
% 126.30/17.84 % SZS status Theorem for theBenchmark.p
% 126.30/17.84
% 126.30/17.84 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 126.30/17.84
% 126.30/17.84 ------ iProver source info
% 126.30/17.84
% 126.30/17.84 git: date: 2023-05-31 18:12:56 +0000
% 126.30/17.84 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 126.30/17.84 git: non_committed_changes: false
% 126.30/17.84 git: last_make_outside_of_git: false
% 126.30/17.84
% 126.30/17.84 ------ Parsing...
% 126.30/17.84 ------ Clausification by vclausify_rel & Parsing by iProver...
% 126.30/17.84
% 126.30/17.84 ------ Preprocessing... sup_sim: 0 sf_s rm: 10 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 5 sf_s rm: 19 0s sf_e pe_s pe_e
% 126.30/17.84
% 126.30/17.84 ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 126.30/17.84
% 126.30/17.84 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 126.30/17.84 ------ Proving...
% 126.30/17.84 ------ Problem Properties
% 126.30/17.84
% 126.30/17.84
% 126.30/17.84 clauses 136
% 126.30/17.84 conjectures 5
% 126.30/17.84 EPR 34
% 126.30/17.84 Horn 91
% 126.30/17.84 unary 48
% 126.30/17.84 binary 30
% 126.30/17.84 lits 371
% 126.30/17.84 lits eq 32
% 126.30/17.84 fd_pure 0
% 126.30/17.84 fd_pseudo 0
% 126.30/17.84 fd_cond 8
% 126.30/17.84 fd_pseudo_cond 4
% 126.30/17.84 AC symbols 0
% 126.30/17.84
% 126.30/17.84 ------ Input Options Time Limit: Unbounded
% 126.30/17.84
% 126.30/17.84
% 126.30/17.84 ------
% 126.30/17.84 Current options:
% 126.30/17.84 ------
% 126.30/17.84
% 126.30/17.84
% 126.30/17.84
% 126.30/17.84
% 126.30/17.84 ------ Proving...
% 126.30/17.84
% 126.30/17.84
% 126.30/17.84 % SZS status Theorem for theBenchmark.p
% 126.30/17.84
% 126.30/17.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 126.30/17.85
% 126.30/17.86
%------------------------------------------------------------------------------