%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT306+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:59:12 PM UTC 2026
% Result : Theorem 6.57s 2.79s
% Output : CNFRefutation 6.57s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f364ERROR: Could not build tree for root c_39768ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v14_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v14_lattices(X0)
=> r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0))) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f12,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f13,axiom,
! [X0] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f15,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/sandbox/benchmark/theBenchmark.p',d4_filter_2) ).
fof(f16,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k17_filter_2(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f19,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> m2_filter_2(k17_filter_2(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k17_filter_2) ).
fof(f23,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f30,axiom,
! [X0] :
( ( l1_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(f31,axiom,
! [X0] :
( ( l2_lattices(X0)
& ~ v3_struct_0(X0) )
=> m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_lattices) ).
fof(f35,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l2_lattices(X0)
& l1_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f40,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/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f41,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/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f43,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/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f45,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/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f57,axiom,
! [X0] :
( ( l3_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f67,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/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f70,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/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f86,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,u1_struct_0(X0))
& l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> k2_filter_2(X0,X1) = k2_filter_0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_filter_2) ).
fof(f88,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f99,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1)
& k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_filter_2) ).
fof(f103,axiom,
! [X0] :
( ( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0) )
=> ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_lattice2) ).
fof(f105,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/sandbox/benchmark/theBenchmark.p',t79_lattice2) ).
fof(f111,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& v14_lattices(X0)
& ~ r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0))) ),
inference(ennf_transformation,[],[f2]) ).
fof(f112,plain,
? [X0] :
( l3_lattices(X0)
& v10_lattices(X0)
& ~ v3_struct_0(X0)
& v14_lattices(X0)
& ~ r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0))) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_filter_2(k17_filter_2(X0),X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f114,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_filter_2(k17_filter_2(X0),X0) ),
inference(flattening,[],[f113]) ).
fof(f115,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k17_filter_2(X0) = u1_struct_0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f116,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k17_filter_2(X0) = u1_struct_0(X0) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k6_lattices(X0) = k5_lattices(k1_lattice2(X0)) ),
inference(ennf_transformation,[],[f105]) ).
fof(f118,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k6_lattices(X0) = k5_lattices(k1_lattice2(X0)) ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f31]) ).
fof(f120,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1)
& k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f99]) ).
fof(f122,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ( k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1)
& k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) ) ) ),
inference(flattening,[],[f121]) ).
fof(f125,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f126,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
inference(flattening,[],[f125]) ).
fof(f135,plain,
! [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) ) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f136,plain,
! [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) ) ) ),
inference(flattening,[],[f135]) ).
fof(f138,plain,
! [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)) ) ),
inference(ennf_transformation,[],[f67]) ).
fof(f139,plain,
! [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)) ) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f57]) ).
fof(f141,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ( v3_lattices(k1_lattice2(X0))
& ~ v3_struct_0(k1_lattice2(X0)) ) ),
inference(flattening,[],[f140]) ).
fof(f142,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l3_lattices(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f145,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f30]) ).
fof(f146,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(flattening,[],[f145]) ).
fof(f147,plain,
! [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)) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f148,plain,
! [X0] :
( ~ l3_lattices(X0)
| ( l2_lattices(X0)
& l1_lattices(X0) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f152,plain,
! [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 ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f153,plain,
! [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 ) ),
inference(flattening,[],[f152]) ).
fof(f154,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(X0,X1) = k2_filter_0(X0,X1) ),
inference(ennf_transformation,[],[f86]) ).
fof(f155,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_2(X0,X1) = k2_filter_0(X0,X1) ),
inference(flattening,[],[f154]) ).
fof(f163,plain,
! [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))) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f164,plain,
! [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))) ) ),
inference(flattening,[],[f163]) ).
fof(f173,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_filter_0(X0) = u1_struct_0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f174,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k1_filter_0(X0) = u1_struct_0(X0) ),
inference(flattening,[],[f173]) ).
fof(f177,plain,
! [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)) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f179,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f180,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f181,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
inference(flattening,[],[f180]) ).
fof(f198,plain,
! [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 ) ) ),
inference(ennf_transformation,[],[f70]) ).
fof(f199,plain,
! [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 ) ) ),
inference(flattening,[],[f198]) ).
fof(f206,plain,
( l3_lattices(sK1)
& v10_lattices(sK1)
& ~ v3_struct_0(sK1)
& v14_lattices(sK1)
& ~ r1_filter_2(u1_struct_0(sK1),k17_filter_2(sK1),k18_filter_2(sK1,k6_lattices(sK1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f112]) ).
fof(f208,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ( ( ~ v14_lattices(X0)
| v13_lattices(k1_lattice2(X0)) )
& ( ~ v13_lattices(k1_lattice2(X0))
| v14_lattices(X0) ) ) ),
inference(nnf_transformation,[],[f126]) ).
fof(f224,plain,
! [X0,X1,X2] :
( ( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
& ( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f235,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f206]) ).
fof(f236,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f206]) ).
fof(f237,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f206]) ).
fof(f238,plain,
v14_lattices(sK1),
inference(cnf_transformation,[],[f206]) ).
fof(f239,plain,
~ r1_filter_2(u1_struct_0(sK1),k17_filter_2(sK1),k18_filter_2(sK1,k6_lattices(sK1))),
inference(cnf_transformation,[],[f206]) ).
fof(f240,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_filter_2(k17_filter_2(X0),X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f241,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k17_filter_2(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f242,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v14_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k6_lattices(X0) = k5_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f243,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f246,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f248,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ v14_lattices(X0)
| v13_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f208]) ).
fof(f255,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0)
| m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f256,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_filter_2(X1,X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f267,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f269,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f270,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f271,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f273,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f276,plain,
! [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)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f277,plain,
! [X0] :
( ~ 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,[],[f147]) ).
fof(f278,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f279,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f280,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f283,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_filter_2(X0,X1) = X1 ),
inference(cnf_transformation,[],[f153]) ).
fof(f284,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| k2_filter_0(X0,X1) = k2_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f296,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f164]) ).
fof(f324,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f327,plain,
! [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)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f328,plain,
! [X0] :
( ~ 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,[],[f177]) ).
fof(f329,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f177]) ).
fof(f331,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f332,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f181]) ).
fof(f335,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f351,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X2 = X5 ),
inference(cnf_transformation,[],[f199]) ).
fof(f352,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X1 = X4 ),
inference(cnf_transformation,[],[f199]) ).
fof(f353,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3 ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_49,negated_conjecture,
~ r1_filter_2(u1_struct_0(sK1),k17_filter_2(sK1),k18_filter_2(sK1,k6_lattices(sK1))),
inference(cnf_transformation,[],[f239]) ).
tcf(c_50,negated_conjecture,
v14_lattices(sK1),
inference(cnf_transformation,[],[f238]) ).
tcf(c_51,negated_conjecture,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f237]) ).
tcf(c_52,negated_conjecture,
v10_lattices(sK1),
inference(cnf_transformation,[],[f236]) ).
tcf(c_53,negated_conjecture,
l3_lattices(sK1),
inference(cnf_transformation,[],[f235]) ).
tcf(c_54,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_filter_2(k17_filter_2(X0),X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_55,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( u1_struct_0(X0) = k17_filter_2(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_56,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k5_lattices(k1_lattice2(X0)) = k6_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_57,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X0)) = k18_filter_2(X1,X0) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_63,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v13_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r1_filter_2(X1,X0,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f363]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ v1_xboole_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m2_lattice4(X0,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_81,plain,
! [X0: $i] :
( sP0(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_82,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_84,plain,
! [X0: $i] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_85,plain,
! [X0: $i] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_86,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k2_filter_0(X0,k5_lattices(X0)) = k1_filter_0(X0) )
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f364]) ).
tcf(c_87,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_90,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_91,plain,
! [X0: $i] :
( 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,[],[f277]) ).
tcf(c_92,plain,
! [X0: $i] :
( 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,[],[f276]) ).
tcf(c_93,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_94,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k5_filter_2(X1,X0) = X0 )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k2_filter_2(X1,X0) = k2_filter_0(X1,X0) )
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X0,u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X0,X1) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_136,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( u1_struct_0(X0) = k1_filter_0(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_139,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_140,plain,
! [X0: $i] :
( 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,[],[f328]) ).
tcf(c_141,plain,
! [X0: $i] :
( 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,[],[f327]) ).
tcf(c_143,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) = k1_lattice2(X0) )
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_144,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 )
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X3 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X5 )
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) ) ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_262,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_148]) ).
tcf(c_263,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_262]) ).
tcf(c_266,plain,
! [X0: $i] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_94]) ).
tcf(c_268,plain,
! [X0: $i] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_84]) ).
tcf(c_272,plain,
! [X0: $i] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_93]) ).
tcf(c_276,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_90]) ).
tcf(c_278,plain,
! [X0: $i] :
( 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(prop_impl_just,[status(thm)],[c_91]) ).
tcf(c_280,plain,
! [X0: $i] :
( 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(prop_impl_just,[status(thm)],[c_92]) ).
tcf(c_314,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(prop_impl_just,[status(thm)],[c_139]) ).
tcf(c_316,plain,
! [X0: $i] :
( 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(prop_impl_just,[status(thm)],[c_140]) ).
tcf(c_318,plain,
! [X0: $i] :
( 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(prop_impl_just,[status(thm)],[c_141]) ).
tcf(c_1943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_relset_1(X3,X1,X2)
| ~ l2_lattices(X0)
| ( u2_lattices(X0) != X3 )
| ( u1_struct_0(X0) != X2 )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_280,c_263]) ).
tcf(c_1944,plain,
! [X0: $i] :
( m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1943]) ).
tcf(c_1952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_relset_1(X3,X1,X2)
| ~ l1_lattices(X0)
| ( u1_lattices(X0) != X3 )
| ( u1_struct_0(X0) != X2 )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_318,c_263]) ).
tcf(c_1953,plain,
! [X0: $i] :
( m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(unflattening,[status(thm)],[c_1952]) ).
tcf(c_2035,plain,
! [X0: $i,X1: $i] :
( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_266,c_1944]) ).
tcf(c_2036,plain,
! [X0: $i] :
( m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2035]) ).
tcf(c_2053,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_266,c_278]) ).
tcf(c_2054,plain,
! [X0: $i] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2053]) ).
tcf(c_2062,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(u2_lattices(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_266,c_276]) ).
tcf(c_2063,plain,
! [X0: $i] :
( v1_funct_1(u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2062]) ).
tcf(c_2071,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_266,c_57]) ).
tcf(c_2072,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2071]) ).
tcf(c_2128,plain,
! [X0: $i,X1: $i] :
( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_272,c_1953]) ).
tcf(c_2129,plain,
! [X0: $i] :
( m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2128]) ).
tcf(c_2139,plain,
! [X0: $i,X1: $i] :
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_272,c_316]) ).
tcf(c_2140,plain,
! [X0: $i] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2139]) ).
tcf(c_2148,plain,
! [X0: $i,X1: $i] :
( v1_funct_1(u1_lattices(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_272,c_314]) ).
tcf(c_2149,plain,
! [X0: $i] :
( v1_funct_1(u1_lattices(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2148]) ).
tcf(c_2157,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
| ~ l3_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_272,c_87]) ).
tcf(c_2158,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
| ~ l3_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2157]) ).
tcf(c_2212,plain,
! [X0: $i,X1: $i] :
( ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1 )
| ~ l3_lattices(X1)
| ~ l3_lattices(X0)
| ( k1_lattice2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_268,c_144]) ).
tcf(c_2213,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) )
| ~ l3_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(unflattening,[status(thm)],[c_2212]) ).
tcf(c_2319,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v13_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_63]) ).
tcf(c_2320,plain,
( v3_struct_0(sK1)
| v13_lattices(k1_lattice2(sK1))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1) ),
inference(unflattening,[status(thm)],[c_2319]) ).
tcf(c_2321,plain,
v13_lattices(k1_lattice2(sK1)),
inference(global_subsumption_just,[status(thm)],[c_2320,c_53,c_52,c_51,c_2320]) ).
tcf(c_2326,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k5_lattices(k1_lattice2(X0)) = k6_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_56]) ).
tcf(c_2327,plain,
( v3_struct_0(sK1)
| ( k5_lattices(k1_lattice2(sK1)) = k6_lattices(sK1) )
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1) ),
inference(unflattening,[status(thm)],[c_2326]) ).
tcf(c_2328,plain,
k5_lattices(k1_lattice2(sK1)) = k6_lattices(sK1),
inference(global_subsumption_just,[status(thm)],[c_2327,c_53,c_52,c_51,c_2327]) ).
tcf(c_2357,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k2_filter_0(X0,k5_lattices(X0)) = k1_filter_0(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( k1_lattice2(sK1) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_86,c_2321]) ).
tcf(c_2358,plain,
( v3_struct_0(k1_lattice2(sK1))
| ( k2_filter_0(k1_lattice2(sK1),k5_lattices(k1_lattice2(sK1))) = k1_filter_0(k1_lattice2(sK1)) )
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1)) ),
inference(unflattening,[status(thm)],[c_2357]) ).
tcf(c_2500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v3_struct_0(X3)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X3)))
| ~ l3_lattices(X3)
| ~ l3_lattices(X2)
| ~ v10_lattices(X3)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X0,X2)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_70,c_110]) ).
tcf(c_2501,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X0,X1) ),
inference(unflattening,[status(thm)],[c_2500]) ).
tcf(c_2725,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( k17_filter_2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_2501]) ).
tcf(c_2726,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(k17_filter_2(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2725]) ).
tcf(c_2740,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X2)
| v3_struct_0(X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X2)
| ~ l3_lattices(X0)
| ~ v10_lattices(X2)
| ~ v10_lattices(X0)
| ( X0 != X2 )
| ( k17_filter_2(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_69]) ).
tcf(c_2741,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(k17_filter_2(X0)) ),
inference(unflattening,[status(thm)],[c_2740]) ).
tcf(c_4097,plain,
( v3_struct_0(k1_lattice2(sK1))
| ( k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)) )
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1)) ),
inference(light_normalisation,[status(thm)],[c_2358,c_2328]) ).
tcf(c_6082,plain,
( v3_struct_0(sK1)
| ( u1_struct_0(sK1) = k17_filter_2(sK1) )
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_52,c_55]) ).
tcf(c_6086,plain,
u1_struct_0(sK1) = k17_filter_2(sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_6082,c_51,c_53]) ).
tcf(c_6093,plain,
~ r1_filter_2(u1_struct_0(sK1),u1_struct_0(sK1),k18_filter_2(sK1,k6_lattices(sK1))),
inference(demodulation,[status(thm)],[c_49,c_6086]) ).
tcf(c_6171,plain,
g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_53,c_143]) ).
tcf(c_6186,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) )
| ~ l3_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_84,c_144]) ).
tcf(c_6246,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k5_filter_2(X0,k6_lattices(X0)) = k6_lattices(X0) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_2072,c_97]) ).
tcf(c_6266,plain,
( v3_struct_0(k1_lattice2(sK1))
| m1_subset_1(k6_lattices(sK1),u1_struct_0(k1_lattice2(sK1)))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_2328,c_2158]) ).
tcf(c_6392,plain,
( v3_struct_0(k1_lattice2(sK1))
| ( k2_filter_2(k1_lattice2(sK1),k6_lattices(sK1)) = k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) )
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_6266,c_98]) ).
tcf(c_6481,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,k6_lattices(X0))) = k18_filter_2(X0,k6_lattices(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(superposition,[status(thm)],[c_2072,c_59]) ).
tcf(c_6740,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK1) = X0 )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(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_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK1) ) ),
inference(superposition,[status(thm)],[c_6171,c_163]) ).
tcf(c_6897,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_lattices(sK1) = X1 )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(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_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK1) ) ),
inference(superposition,[status(thm)],[c_6171,c_164]) ).
tcf(c_7054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u2_lattices(sK1) = X2 )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(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_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK1) ) ),
inference(superposition,[status(thm)],[c_6171,c_165]) ).
tcf(c_7260,plain,
( v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ v1_xboole_0(u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_6086,c_2741]) ).
tcf(c_7263,plain,
~ v1_xboole_0(u1_struct_0(sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_7260,c_51,c_53,c_52]) ).
tcf(c_7999,plain,
( v3_struct_0(sK1)
| m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1) ),
inference(superposition,[status(thm)],[c_6086,c_2726]) ).
tcf(c_8003,plain,
m1_subset_1(u1_struct_0(sK1),k1_zfmisc_1(u1_struct_0(sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_7999,c_51,c_53,c_52]) ).
tcf(c_8016,plain,
( v1_xboole_0(u1_struct_0(sK1))
| r1_filter_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_8003,c_66]) ).
tcf(c_8017,plain,
r1_filter_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_8016,c_7263]) ).
tcf(c_8655,plain,
( v3_struct_0(sK1)
| ( k5_filter_2(sK1,k6_lattices(sK1)) = k6_lattices(sK1) )
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_52,c_6246]) ).
tcf(c_8659,plain,
k5_filter_2(sK1,k6_lattices(sK1)) = k6_lattices(sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_8655,c_51,c_53]) ).
tcf(c_11339,plain,
g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)) = k1_lattice2(sK1),
inference(superposition,[status(thm)],[c_53,c_143]) ).
tcf(c_11341,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0))) = k1_lattice2(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(superposition,[status(thm)],[c_85,c_143]) ).
tcf(c_11405,plain,
! [X0: $i] :
( ( g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) = k1_lattice2(X0) )
| ~ l3_lattices(X0) ),
inference(global_subsumption_just,[status(thm)],[c_6186,c_85,c_2213]) ).
tcf(c_11411,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_11405]) ).
tcf(c_11445,plain,
( ( u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(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_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_11411,c_7054]) ).
tcf(c_11446,plain,
( ( u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(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_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_11411,c_6897]) ).
tcf(c_11447,plain,
( ( u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(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_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_11411,c_6740]) ).
tcf(c_12426,plain,
( v3_struct_0(sK1)
| ( k2_filter_2(k1_lattice2(sK1),k5_filter_2(sK1,k6_lattices(sK1))) = k18_filter_2(sK1,k6_lattices(sK1)) )
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_52,c_6481]) ).
tcf(c_14251,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(sK1) = X0 )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(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_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ( g3_lattices(X0,X1,X2) != k1_lattice2(sK1) ) ),
inference(superposition,[status(thm)],[c_11339,c_163]) ).
tcf(c_20754,plain,
( ( u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) )
| ~ l3_lattices(sK1)
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_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)) ),
inference(superposition,[status(thm)],[c_2140,c_11445]) ).
tcf(c_20755,plain,
( ( u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_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)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20754,c_53]) ).
tcf(c_20780,plain,
( ( u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) )
| ~ l3_lattices(sK1)
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_2054,c_20755]) ).
tcf(c_20781,plain,
( ( u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20780,c_53]) ).
tcf(c_21228,plain,
( ( u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) )
| ~ l3_lattices(sK1)
| ~ 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)) ),
inference(superposition,[status(thm)],[c_2129,c_20781]) ).
tcf(c_21229,plain,
( ( u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) )
| ~ 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)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21228,c_53]) ).
tcf(c_21246,plain,
( ( u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) )
| ~ l3_lattices(sK1)
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1)) ),
inference(superposition,[status(thm)],[c_2036,c_21229]) ).
tcf(c_21247,plain,
( ( u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21246,c_53]) ).
tcf(c_21260,plain,
( ( u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) )
| ~ l3_lattices(sK1)
| ~ v1_funct_1(u2_lattices(sK1)) ),
inference(superposition,[status(thm)],[c_2149,c_21247]) ).
tcf(c_21261,plain,
( ( u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) )
| ~ v1_funct_1(u2_lattices(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21260,c_53]) ).
tcf(c_21270,plain,
( ( u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1) )
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_2063,c_21261]) ).
tcf(c_21271,plain,
u1_lattices(k1_lattice2(sK1)) = u2_lattices(sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_21270,c_53]) ).
tcf(c_21287,plain,
( v1_funct_1(u2_lattices(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_21271,c_2149]) ).
tcf(c_21306,plain,
( v1_funct_1(u2_lattices(sK1))
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_85,c_21287]) ).
tcf(c_21307,plain,
v1_funct_1(u2_lattices(sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_21306,c_53]) ).
tcf(c_24465,plain,
( ( u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) )
| ~ v1_funct_1(u1_lattices(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))
| ~ 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)) ),
inference(global_subsumption_just,[status(thm)],[c_11446,c_11446,c_21307]) ).
tcf(c_24466,plain,
( ( u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(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_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(renaming,[status(thm)],[c_24465]) ).
tcf(c_24479,plain,
( ( u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) )
| ~ l3_lattices(sK1)
| ~ v1_funct_1(u1_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_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)) ),
inference(superposition,[status(thm)],[c_2140,c_24466]) ).
tcf(c_24480,plain,
( ( u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_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)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24479,c_53]) ).
tcf(c_24570,plain,
( ( u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) )
| ~ l3_lattices(sK1)
| ~ v1_funct_1(u1_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_2054,c_24480]) ).
tcf(c_24571,plain,
( ( u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24570,c_53]) ).
tcf(c_25423,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_11341]) ).
tcf(c_25557,plain,
( ( u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) )
| ~ l3_lattices(sK1)
| ~ v1_funct_1(u1_lattices(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_2129,c_24571]) ).
tcf(c_25558,plain,
( ( u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25557,c_53]) ).
tcf(c_25571,plain,
( ( u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) )
| ~ l3_lattices(sK1)
| ~ v1_funct_1(u1_lattices(sK1)) ),
inference(superposition,[status(thm)],[c_2036,c_25558]) ).
tcf(c_25572,plain,
( ( u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) )
| ~ v1_funct_1(u1_lattices(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25571,c_53]) ).
tcf(c_25581,plain,
( ( u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1) )
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_2149,c_25572]) ).
tcf(c_25582,plain,
u2_lattices(k1_lattice2(sK1)) = u1_lattices(sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_25581,c_53]) ).
tcf(c_25598,plain,
( v1_funct_1(u1_lattices(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_25582,c_2063]) ).
tcf(c_25609,plain,
( v1_funct_1(u1_lattices(sK1))
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_85,c_25598]) ).
tcf(c_25610,plain,
v1_funct_1(u1_lattices(sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_25609,c_53]) ).
tcf(c_25838,plain,
( ( u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) )
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(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_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ( k1_lattice2(k1_lattice2(sK1)) != k1_lattice2(sK1) ) ),
inference(superposition,[status(thm)],[c_25423,c_14251]) ).
tcf(c_37440,plain,
( ( u1_struct_0(k1_lattice2(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))
| ~ m1_relset_1(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_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(global_subsumption_just,[status(thm)],[c_25838,c_11447,c_21307,c_25610]) ).
tcf(c_37452,plain,
( ( u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) )
| ~ l3_lattices(sK1)
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_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)) ),
inference(superposition,[status(thm)],[c_2140,c_37440]) ).
tcf(c_37453,plain,
( ( u1_struct_0(k1_lattice2(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))
| ~ m1_relset_1(u2_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)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37452,c_53]) ).
tcf(c_37470,plain,
( ( u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) )
| ~ l3_lattices(sK1)
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(superposition,[status(thm)],[c_2054,c_37453]) ).
tcf(c_37471,plain,
( ( u1_struct_0(k1_lattice2(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))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37470,c_53]) ).
tcf(c_37484,plain,
( ( u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) )
| ~ 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(superposition,[status(thm)],[c_2129,c_37471]) ).
tcf(c_37485,plain,
( ( u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) )
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37484,c_53]) ).
tcf(c_37494,plain,
( ( u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1) )
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_2036,c_37485]) ).
tcf(c_37495,plain,
u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_37494,c_53]) ).
tcf(c_39722,plain,
u1_struct_0(k1_lattice2(sK1)) = u1_struct_0(sK1),
inference(global_subsumption_just,[status(thm)],[c_11447,c_37495]) ).
fof(f204,definition,
! [X0] :
( ~ sP0(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)) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f205,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| sP0(X0) ),
inference(definition_folding,[],[f139,f204]) ).
fof(f211,plain,
! [X0] :
( ~ sP0(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)) ) ),
inference(nnf_transformation,[],[f204]) ).
fof(f258,plain,
! [X0] :
( ~ sP0(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_80,plain,
! [X0: $i] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_310,plain,
! [X0: $i] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(prop_impl_just,[status(thm)],[c_80]) ).
tcf(c_2388,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_81,c_310]) ).
tcf(c_2389,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(unflattening,[status(thm)],[c_2388]) ).
tcf(c_5898,plain,
( v3_struct_0(sK1)
| v3_struct_0(k1_lattice2(sK1))
| ( k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)) )
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_2389,c_4097]) ).
tcf(c_5899,plain,
( v3_struct_0(k1_lattice2(sK1))
| ( k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)) )
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5898,c_51,c_53,c_52]) ).
tcf(c_5931,plain,
( v3_struct_0(k1_lattice2(sK1))
| ( k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)) )
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_85,c_5899]) ).
tcf(c_5932,plain,
( v3_struct_0(k1_lattice2(sK1))
| ( k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5931,c_53]) ).
tcf(c_5939,plain,
( v3_struct_0(sK1)
| ( k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)) )
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_5932,c_82]) ).
tcf(c_5940,plain,
k2_filter_0(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_5939,c_51,c_53]) ).
tcf(c_6156,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_struct_0(k1_lattice2(X0))
| ( u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(superposition,[status(thm)],[c_2389,c_136]) ).
tcf(c_6398,plain,
( v3_struct_0(k1_lattice2(sK1))
| ( k2_filter_2(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)) )
| ~ l3_lattices(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1)) ),
inference(light_normalisation,[status(thm)],[c_6392,c_5940]) ).
tcf(c_6411,plain,
( v3_struct_0(sK1)
| v3_struct_0(k1_lattice2(sK1))
| ( k2_filter_2(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)) )
| ~ l3_lattices(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(superposition,[status(thm)],[c_2389,c_6398]) ).
tcf(c_6412,plain,
( v3_struct_0(k1_lattice2(sK1))
| ( k2_filter_2(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)) )
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6411,c_51,c_53,c_52]) ).
tcf(c_6425,plain,
( v3_struct_0(k1_lattice2(sK1))
| ( k2_filter_2(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)) )
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_85,c_6412]) ).
tcf(c_6426,plain,
( v3_struct_0(k1_lattice2(sK1))
| ( k2_filter_2(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6425,c_53]) ).
tcf(c_6435,plain,
( v3_struct_0(sK1)
| ( k2_filter_2(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)) )
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_6426,c_82]) ).
tcf(c_6436,plain,
k2_filter_2(k1_lattice2(sK1),k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_6435,c_51,c_53]) ).
tcf(c_12431,plain,
( v3_struct_0(sK1)
| ( k18_filter_2(sK1,k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)) )
| ~ l3_lattices(sK1) ),
inference(light_normalisation,[status(thm)],[c_12426,c_6436,c_8659]) ).
tcf(c_12432,plain,
k18_filter_2(sK1,k6_lattices(sK1)) = k1_filter_0(k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_12431,c_51,c_53]) ).
tcf(c_12439,plain,
~ r1_filter_2(u1_struct_0(sK1),u1_struct_0(sK1),k1_filter_0(k1_lattice2(sK1))),
inference(demodulation,[status(thm)],[c_6093,c_12432]) ).
tcf(c_13892,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ( u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0)) ) ),
inference(global_subsumption_just,[status(thm)],[c_6156,c_85,c_82,c_6156]) ).
tcf(c_13893,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( u1_struct_0(k1_lattice2(X0)) = k1_filter_0(k1_lattice2(X0)) )
| ~ l3_lattices(X0)
| ~ v10_lattices(X0) ),
inference(renaming,[status(thm)],[c_13892]) ).
tcf(c_13903,plain,
( v3_struct_0(sK1)
| ( u1_struct_0(k1_lattice2(sK1)) = k1_filter_0(k1_lattice2(sK1)) )
| ~ l3_lattices(sK1) ),
inference(superposition,[status(thm)],[c_52,c_13893]) ).
tcf(c_13907,plain,
u1_struct_0(k1_lattice2(sK1)) = k1_filter_0(k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_13903,c_51,c_53]) ).
tcf(c_13916,plain,
~ r1_filter_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(k1_lattice2(sK1))),
inference(demodulation,[status(thm)],[c_12439,c_13907]) ).
tcf(c_39762,plain,
~ r1_filter_2(u1_struct_0(sK1),u1_struct_0(sK1),u1_struct_0(sK1)),
inference(demodulation,[status(thm)],[c_13916,c_39722]) ).
tcf(c_39768,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_39762,c_8017]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT306+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 20:58:42 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 6.57/2.79 % SZS status Started for theBenchmark.p
% 6.57/2.79 % SZS status Theorem for theBenchmark.p
% 6.57/2.79
% 6.57/2.79 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.57/2.79
% 6.57/2.79 % ------ iProver source info
% 6.57/2.79
% 6.57/2.79 % git: date: 2026-07-19 20:42:38 +0200
% 6.57/2.79 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.57/2.79 % git: non_committed_changes: false
% 6.57/2.79
% 6.57/2.79 % ------ Parsing...
% 6.57/2.79 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.57/2.79
% 6.57/2.79 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 1 sf_s rm: 17 0s sf_e pe_s pe_e %
% 6.57/2.79
% 6.57/2.79 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.57/2.79
% 6.57/2.79 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.57/2.79 % ------ Proving...
% 6.57/2.79 % ------ Problem Properties
% 6.57/2.79
% 6.57/2.79 %
% 6.57/2.79 % clauses 107
% 6.57/2.79 % conjectures 4
% 6.57/2.79 % EPR 21
% 6.57/2.79 % Horn 74
% 6.57/2.79 % unary 36
% 6.57/2.79 % binary 24
% 6.57/2.79 % lits 298
% 6.57/2.79 % lits eq 20
% 6.57/2.79 % fd_pure 0
% 6.57/2.79 % fd_pseudo 0
% 6.57/2.79 % fd_cond 0
% 6.57/2.79 % fd_pseudo_cond 5
% 6.57/2.79 % AC symbols 0
% 6.57/2.79
% 6.57/2.79 % ------ Schedule dynamic 5 is on
% 6.57/2.79
% 6.57/2.79 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.57/2.79
% 6.57/2.79
% 6.57/2.79 % ------
% 6.57/2.79 % Current options:
% 6.57/2.79 % ------
% 6.57/2.79
% 6.57/2.79
% 6.57/2.79 %
% 6.57/2.79
% 6.57/2.79 % ------ Proving...
% 6.57/2.79 %
% 6.57/2.79
% 6.57/2.79 % SZS status Theorem for theBenchmark.p
% 6.57/2.79
% 6.57/2.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.57/2.79
% 6.57/2.79
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