%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT306+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:44 AM UTC 2026
% Result : Theorem 8.77s 2.11s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 44
% Syntax : Number of formulae : 330 ( 62 unt; 14 def)
% Number of atoms : 1101 ( 148 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1321 ( 550 ~; 584 |; 125 &)
% ( 21 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 15 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 1 con; 0-3 aty)
% Number of variables : 277 ( 0 sgn 275 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(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/sandbox2/benchmark/theBenchmark.p',t32_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(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/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f12,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f14,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_filter_0) ).
fof(f15,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(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(f16,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k17_filter_2(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f17,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_filter_2) ).
fof(f19,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m2_filter_2(k17_filter_2(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k17_filter_2) ).
fof(f23,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f29,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_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(f31,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l2_lattices(X0) )
=> m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_lattices) ).
fof(f34,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f35,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f40,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f41,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f43,axiom,
! [X0] :
( l1_lattices(X0)
=> ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f45,axiom,
! [X0] :
( l2_lattices(X0)
=> ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f57,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f58,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f63,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ( ~ v3_struct_0(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_lattices) ).
fof(f67,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X0 = X3
& X1 = X4
& X2 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f86,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k2_filter_2(X0,X1) = k2_filter_0(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f89,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(f96,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v13_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_filter_0) ).
fof(f99,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_filter_2) ).
fof(f103,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_lattice2) ).
fof(f105,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0) )
=> k6_lattices(X0) = k5_lattices(k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t79_lattice2) ).
fof(f109,plain,
? [X0] :
( ~ r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0)))
& v14_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f110,plain,
? [X0] :
( ~ r1_filter_2(u1_struct_0(X0),k17_filter_2(X0),k18_filter_2(X0,k6_lattices(X0)))
& v14_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f112,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f111]) ).
fof(f126,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f127,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( k5_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f131]) ).
fof(f133,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f134,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f133]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f135]) ).
fof(f139,plain,
! [X0] :
( m2_filter_2(k17_filter_2(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f140,plain,
! [X0] :
( m2_filter_2(k17_filter_2(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f139]) ).
fof(f147,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f152,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f153,plain,
! [X0,X1] :
( m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f152]) ).
fof(f156,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f157,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f156]) ).
fof(f159,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f160,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f165,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f165]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f167]) ).
fof(f170,plain,
! [X0] :
( ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f171,plain,
! [X0] :
( ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f180,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f183,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f182]) ).
fof(f188,plain,
! [X0,X1,X2] :
( ( ~ v3_struct_0(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) )
| v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f189,plain,
! [X0,X1,X2] :
( ( ~ v3_struct_0(g3_lattices(X0,X1,X2))
& v3_lattices(g3_lattices(X0,X1,X2)) )
| v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f188]) ).
fof(f196,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f197,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f196]) ).
fof(f202,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f203,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f202]) ).
fof(f211,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f86]) ).
fof(f212,plain,
! [X0,X1] :
( k2_filter_2(X0,X1) = k2_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f211]) ).
fof(f215,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f89]) ).
fof(f216,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f215]) ).
fof(f226,plain,
! [X0] :
( k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f227,plain,
! [X0] :
( k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f226]) ).
fof(f231,plain,
! [X0] :
( ! [X1] :
( ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f99]) ).
fof(f232,plain,
! [X0] :
( ! [X1] :
( ( k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1))
& k18_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) = k2_filter_2(X0,X1) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f231]) ).
fof(f236,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f103]) ).
fof(f237,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f236]) ).
fof(f239,plain,
! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f105]) ).
fof(f240,plain,
! [X0] :
( k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f239]) ).
fof(f243,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k17_filter_2(sK0),k18_filter_2(sK0,k6_lattices(sK0)))
& v14_lattices(sK0)
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f110]) ).
fof(f276,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(f277,plain,
! [X0,X1,X2] :
( ( ( r1_filter_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_filter_2(X0,X1,X2) ) )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f216]) ).
fof(f282,plain,
! [X0] :
( ( ( v14_lattices(X0)
| ~ v13_lattices(k1_lattice2(X0)) )
& ( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f237]) ).
fof(f283,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f243]) ).
fof(f284,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f243]) ).
fof(f285,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f243]) ).
fof(f286,plain,
v14_lattices(sK0),
inference(cnf_transformation,[],[f243]) ).
fof(f287,plain,
~ r1_filter_2(u1_struct_0(sK0),k17_filter_2(sK0),k18_filter_2(sK0,k6_lattices(sK0))),
inference(cnf_transformation,[],[f243]) ).
fof(f288,plain,
! [X0] :
( ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f309,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| u1_struct_0(X0) = k1_filter_0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f310,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f128]) ).
fof(f311,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| k2_filter_0(X0,X1) = a_2_0_filter_0(X0,X1)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f312,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| k5_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f313,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| u1_struct_0(X0) = k17_filter_2(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f314,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k18_filter_2(X0,X1) = a_2_0_filter_2(X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f317,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m2_filter_2(k17_filter_2(X0),X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f321,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f322,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f325,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m1_subset_1(k5_filter_2(X0,X1),u1_struct_0(k1_lattice2(X0)))
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f327,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f157]) ).
fof(f329,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f330,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f331,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f336,plain,
! [X0,X1] :
( m2_lattice4(X1,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f338,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f340,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,[],[f170]) ).
fof(f341,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,[],[f170]) ).
fof(f342,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f343,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,[],[f171]) ).
fof(f344,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,[],[f171]) ).
fof(f345,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f358,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f359,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f183]) ).
fof(f373,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| v1_xboole_0(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v3_struct_0(g3_lattices(X0,X1,X2))
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f385,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f404,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| X0 = X3 ),
inference(cnf_transformation,[],[f203]) ).
fof(f454,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k2_filter_0(X0,X1) = k2_filter_2(X0,X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f212]) ).
fof(f457,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f276]) ).
fof(f460,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| X1 != X2
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f277]) ).
fof(f468,plain,
! [X0] :
( k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f473,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k18_filter_2(X0,X1) = k2_filter_2(k1_lattice2(X0),k5_filter_2(X0,X1)) ),
inference(cnf_transformation,[],[f232]) ).
fof(f478,plain,
! [X0] :
( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f481,plain,
! [X0] :
( ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k6_lattices(X0) = k5_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f486,plain,
! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(equality_resolution,[],[f460]) ).
fof(f487,plain,
! [X0] :
( ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k1_filter_0(X0) = k2_filter_0(X0,k5_lattices(X0))
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f468]) ).
fof(f488,plain,
! [X2,X0] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| r1_filter_2(X0,X2,X2) ),
inference(duplicate_literal_removal,[],[f486]) ).
fof(f489,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| k6_lattices(sK0) = k5_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f481,f286]) ).
fof(f490,plain,
( ~ v10_lattices(sK0)
| k6_lattices(sK0) = k5_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f489,f285]) ).
fof(f491,plain,
( k6_lattices(sK0) = k5_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f490,f284]) ).
fof(f492,plain,
k6_lattices(sK0) = k5_lattices(k1_lattice2(sK0)),
inference(forward_subsumption_resolution,[],[f491,f283]) ).
fof(f493,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| u1_struct_0(sK0) = k17_filter_2(sK0) ),
inference(resolution,[],[f313,f283]) ).
fof(f494,plain,
( ~ v10_lattices(sK0)
| u1_struct_0(sK0) = k17_filter_2(sK0) ),
inference(forward_subsumption_resolution,[],[f493,f285]) ).
fof(f495,plain,
u1_struct_0(sK0) = k17_filter_2(sK0),
inference(forward_subsumption_resolution,[],[f494,f284]) ).
fof(f496,plain,
~ r1_filter_2(u1_struct_0(sK0),u1_struct_0(sK0),k18_filter_2(sK0,k6_lattices(sK0))),
inference(superposition,[],[f287,f495]) ).
fof(f497,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| u1_struct_0(sK0) = k1_filter_0(sK0) ),
inference(resolution,[],[f309,f283]) ).
fof(f498,plain,
( ~ v10_lattices(sK0)
| u1_struct_0(sK0) = k1_filter_0(sK0) ),
inference(forward_subsumption_resolution,[],[f497,f285]) ).
fof(f499,plain,
u1_struct_0(sK0) = k1_filter_0(sK0),
inference(forward_subsumption_resolution,[],[f498,f284]) ).
fof(f500,plain,
~ r1_filter_2(k1_filter_0(sK0),k1_filter_0(sK0),k18_filter_2(sK0,k6_lattices(sK0))),
inference(superposition,[],[f496,f499]) ).
fof(f504,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| k18_filter_2(sK0,X0) = a_2_0_filter_2(sK0,X0) ),
inference(resolution,[],[f314,f283]) ).
fof(f505,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| k18_filter_2(sK0,X0) = a_2_0_filter_2(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f504,f285]) ).
fof(f506,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k18_filter_2(sK0,X0) = a_2_0_filter_2(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f505,f284]) ).
fof(f507,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK0))
| k18_filter_2(sK0,X0) = a_2_0_filter_2(sK0,X0) ),
inference(forward_demodulation,[],[f506,f499]) ).
fof(f511,plain,
l3_lattices(k1_lattice2(sK0)),
inference(resolution,[],[f321,f283]) ).
fof(f516,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| k18_filter_2(sK0,X0) = k2_filter_2(k1_lattice2(sK0),k5_filter_2(sK0,X0)) ),
inference(resolution,[],[f473,f283]) ).
fof(f517,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| k18_filter_2(sK0,X0) = k2_filter_2(k1_lattice2(sK0),k5_filter_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f516,f285]) ).
fof(f518,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| k18_filter_2(sK0,X0) = k2_filter_2(k1_lattice2(sK0),k5_filter_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f517,f284]) ).
fof(f519,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK0))
| k18_filter_2(sK0,X0) = k2_filter_2(k1_lattice2(sK0),k5_filter_2(sK0,X0)) ),
inference(forward_demodulation,[],[f518,f499]) ).
fof(f520,plain,
( v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| u1_struct_0(k1_lattice2(sK0)) = k1_filter_0(k1_lattice2(sK0)) ),
inference(resolution,[],[f511,f309]) ).
fof(f525,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| k2_filter_0(k1_lattice2(sK0),X0) = k2_filter_2(k1_lattice2(sK0),X0)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0))) ),
inference(resolution,[],[f511,f454]) ).
fof(f528,definition,
( spl29_1
<=> v10_lattices(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f529,plain,
( ~ v10_lattices(k1_lattice2(sK0))
| spl29_1 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f531,definition,
( spl29_2
<=> v3_struct_0(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f538,definition,
( spl29_4
<=> ! [X0] :
( k2_filter_0(k1_lattice2(sK0),X0) = k2_filter_2(k1_lattice2(sK0),X0)
| ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f539,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| k2_filter_0(k1_lattice2(sK0),X0) = k2_filter_2(k1_lattice2(sK0),X0) )
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f540,plain,
( spl29_4
| ~ spl29_1
| spl29_2 ),
inference(avatar_split_clause,[],[f525,f531,f528,f538]) ).
fof(f554,definition,
( spl29_8
<=> u1_struct_0(k1_lattice2(sK0)) = k1_filter_0(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f555,plain,
( u1_struct_0(k1_lattice2(sK0)) = k1_filter_0(k1_lattice2(sK0))
| ~ spl29_8 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f556,plain,
( spl29_8
| ~ spl29_1
| spl29_2 ),
inference(avatar_split_clause,[],[f520,f531,f528,f554]) ).
fof(f562,plain,
( v3_struct_0(sK0)
| v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f385,f284]) ).
fof(f564,plain,
( v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f562,f285]) ).
fof(f565,plain,
( ~ l3_lattices(sK0)
| spl29_1 ),
inference(forward_subsumption_resolution,[],[f564,f529]) ).
fof(f566,plain,
( $false
| spl29_1 ),
inference(forward_subsumption_resolution,[],[f565,f283]) ).
fof(f567,plain,
spl29_1,
inference(avatar_contradiction_clause,[],[f566]) ).
fof(f568,plain,
v10_lattices(k1_lattice2(sK0)),
inference(forward_subsumption_resolution,[],[f564,f283]) ).
fof(f570,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| v3_struct_0(k1_lattice2(sK0))
| k2_filter_0(k1_lattice2(sK0),X0) = a_2_0_filter_0(k1_lattice2(sK0),X0)
| ~ l3_lattices(k1_lattice2(sK0)) ),
inference(resolution,[],[f568,f311]) ).
fof(f571,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(k1_lattice2(sK0)))
| v3_struct_0(k1_lattice2(sK0))
| k2_filter_0(k1_lattice2(sK0),X0) = a_2_0_filter_0(k1_lattice2(sK0),X0) ),
inference(forward_subsumption_resolution,[],[f570,f511]) ).
fof(f573,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(k1_lattice2(sK0)))
| v3_struct_0(k1_lattice2(sK0))
| k2_filter_0(k1_lattice2(sK0),X0) = a_2_0_filter_0(k1_lattice2(sK0),X0) )
| ~ spl29_8 ),
inference(forward_demodulation,[],[f571,f555]) ).
fof(f579,definition,
( spl29_10
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(k1_lattice2(sK0)))
| k2_filter_0(k1_lattice2(sK0),X0) = a_2_0_filter_0(k1_lattice2(sK0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f580,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(k1_lattice2(sK0)))
| k2_filter_0(k1_lattice2(sK0),X0) = a_2_0_filter_0(k1_lattice2(sK0),X0) )
| ~ spl29_10 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f581,plain,
( spl29_2
| spl29_10
| ~ spl29_8 ),
inference(avatar_split_clause,[],[f573,f554,f579,f531]) ).
fof(f588,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK0))
| k5_filter_2(sK0,X0) = X0
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f312,f499]) ).
fof(f589,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK0))
| k5_filter_2(sK0,X0) = X0
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f588,f285]) ).
fof(f590,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK0))
| k5_filter_2(sK0,X0) = X0
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f589,f284]) ).
fof(f591,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK0))
| k5_filter_2(sK0,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f590,f283]) ).
fof(f592,plain,
! [X0] :
( ~ l3_lattices(X0)
| m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0) ),
inference(resolution,[],[f327,f330]) ).
fof(f595,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(k1_lattice2(sK0)))
| k2_filter_0(k1_lattice2(sK0),X0) = k2_filter_2(k1_lattice2(sK0),X0) )
| ~ spl29_4
| ~ spl29_8 ),
inference(superposition,[],[f539,f555]) ).
fof(f603,plain,
k1_lattice2(sK0) = g3_lattices(u1_struct_0(sK0),u1_lattices(sK0),u2_lattices(sK0)),
inference(resolution,[],[f310,f283]) ).
fof(f606,plain,
k1_lattice2(sK0) = g3_lattices(k1_filter_0(sK0),u1_lattices(sK0),u2_lattices(sK0)),
inference(forward_demodulation,[],[f603,f499]) ).
fof(f607,plain,
( m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0) ),
inference(resolution,[],[f592,f283]) ).
fof(f610,plain,
m1_subset_1(k6_lattices(sK0),u1_struct_0(sK0)),
inference(forward_subsumption_resolution,[],[f607,f285]) ).
fof(f615,plain,
m1_subset_1(k6_lattices(sK0),k1_filter_0(sK0)),
inference(forward_demodulation,[],[f610,f499]) ).
fof(f616,plain,
k6_lattices(sK0) = k5_filter_2(sK0,k6_lattices(sK0)),
inference(resolution,[],[f615,f591]) ).
fof(f618,plain,
k18_filter_2(sK0,k6_lattices(sK0)) = k2_filter_2(k1_lattice2(sK0),k5_filter_2(sK0,k6_lattices(sK0))),
inference(resolution,[],[f615,f519]) ).
fof(f620,plain,
k18_filter_2(sK0,k6_lattices(sK0)) = a_2_0_filter_2(sK0,k6_lattices(sK0)),
inference(resolution,[],[f615,f507]) ).
fof(f621,plain,
k2_filter_2(k1_lattice2(sK0),k5_filter_2(sK0,k6_lattices(sK0))) = a_2_0_filter_2(sK0,k6_lattices(sK0)),
inference(forward_demodulation,[],[f618,f620]) ).
fof(f622,plain,
a_2_0_filter_2(sK0,k6_lattices(sK0)) = k2_filter_2(k1_lattice2(sK0),k6_lattices(sK0)),
inference(forward_demodulation,[],[f621,f616]) ).
fof(f623,plain,
~ r1_filter_2(k1_filter_0(sK0),k1_filter_0(sK0),a_2_0_filter_2(sK0,k6_lattices(sK0))),
inference(superposition,[],[f500,f620]) ).
fof(f635,plain,
! [X0,X1] :
( ~ m2_filter_2(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f336,f338]) ).
fof(f636,plain,
! [X0,X1] :
( ~ m2_filter_2(X0,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(duplicate_literal_removal,[],[f635]) ).
fof(f658,definition,
( spl29_14
<=> v1_xboole_0(k1_filter_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_14])],[avatar_definition]) ).
fof(f659,plain,
( v1_xboole_0(k1_filter_0(sK0))
| ~ spl29_14 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f704,plain,
! [X0] :
( v3_struct_0(k1_lattice2(X0))
| ~ v10_lattices(k1_lattice2(X0))
| k1_filter_0(k1_lattice2(X0)) = k2_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f487,f478]) ).
fof(f705,plain,
! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| k1_filter_0(k1_lattice2(X0)) = k2_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f704,f358]) ).
fof(f706,plain,
! [X0] :
( k1_filter_0(k1_lattice2(X0)) = k2_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f705,f385]) ).
fof(f707,plain,
! [X0] :
( ~ v14_lattices(X0)
| k1_filter_0(k1_lattice2(X0)) = k2_filter_0(k1_lattice2(X0),k5_lattices(k1_lattice2(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f706,f321]) ).
fof(f708,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)))
| ~ l3_lattices(k1_lattice2(X0)) ),
inference(resolution,[],[f322,f288]) ).
fof(f709,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) ),
inference(forward_subsumption_resolution,[],[f708,f321]) ).
fof(f710,plain,
k1_lattice2(sK0) = g3_lattices(u1_struct_0(k1_lattice2(sK0)),u2_lattices(k1_lattice2(sK0)),u1_lattices(k1_lattice2(sK0))),
inference(resolution,[],[f709,f283]) ).
fof(f712,plain,
( k1_lattice2(sK0) = g3_lattices(k1_filter_0(k1_lattice2(sK0)),u2_lattices(k1_lattice2(sK0)),u1_lattices(k1_lattice2(sK0)))
| ~ spl29_8 ),
inference(forward_demodulation,[],[f710,f555]) ).
fof(f713,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| m1_subset_1(k5_filter_2(sK0,X0),u1_struct_0(k1_lattice2(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(resolution,[],[f325,f283]) ).
fof(f716,plain,
! [X0] :
( ~ v10_lattices(sK0)
| m1_subset_1(k5_filter_2(sK0,X0),u1_struct_0(k1_lattice2(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f713,f285]) ).
fof(f718,plain,
! [X0] :
( m1_subset_1(k5_filter_2(sK0,X0),u1_struct_0(k1_lattice2(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f716,f284]) ).
fof(f723,plain,
( ! [X0] :
( m1_subset_1(k5_filter_2(sK0,X0),k1_filter_0(k1_lattice2(sK0)))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) )
| ~ spl29_8 ),
inference(forward_demodulation,[],[f718,f555]) ).
fof(f724,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_filter_0(sK0))
| m1_subset_1(k5_filter_2(sK0,X0),k1_filter_0(k1_lattice2(sK0))) )
| ~ spl29_8 ),
inference(forward_demodulation,[],[f723,f499]) ).
fof(f725,plain,
( m1_subset_1(k5_filter_2(sK0,k6_lattices(sK0)),k1_filter_0(k1_lattice2(sK0)))
| ~ spl29_8 ),
inference(resolution,[],[f724,f615]) ).
fof(f726,plain,
( m1_subset_1(k6_lattices(sK0),k1_filter_0(k1_lattice2(sK0)))
| ~ spl29_8 ),
inference(forward_demodulation,[],[f725,f616]) ).
fof(f729,plain,
( k2_filter_0(k1_lattice2(sK0),k6_lattices(sK0)) = a_2_0_filter_0(k1_lattice2(sK0),k6_lattices(sK0))
| ~ spl29_8
| ~ spl29_10 ),
inference(resolution,[],[f726,f580]) ).
fof(f760,plain,
( k1_filter_0(k1_lattice2(sK0)) = k2_filter_0(k1_lattice2(sK0),k5_lattices(k1_lattice2(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f707,f286]) ).
fof(f761,plain,
( k1_filter_0(k1_lattice2(sK0)) = k2_filter_0(k1_lattice2(sK0),k5_lattices(k1_lattice2(sK0)))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f760,f285]) ).
fof(f762,plain,
( k1_filter_0(k1_lattice2(sK0)) = k2_filter_0(k1_lattice2(sK0),k5_lattices(k1_lattice2(sK0)))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f761,f284]) ).
fof(f763,plain,
k1_filter_0(k1_lattice2(sK0)) = k2_filter_0(k1_lattice2(sK0),k5_lattices(k1_lattice2(sK0))),
inference(forward_subsumption_resolution,[],[f762,f283]) ).
fof(f764,plain,
k1_filter_0(k1_lattice2(sK0)) = k2_filter_0(k1_lattice2(sK0),k6_lattices(sK0)),
inference(forward_demodulation,[],[f763,f492]) ).
fof(f766,plain,
( k1_filter_0(k1_lattice2(sK0)) = a_2_0_filter_0(k1_lattice2(sK0),k6_lattices(sK0))
| ~ spl29_8
| ~ spl29_10 ),
inference(superposition,[],[f729,f764]) ).
fof(f818,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| m2_filter_2(k17_filter_2(sK0),sK0) ),
inference(resolution,[],[f317,f283]) ).
fof(f821,plain,
( ~ v10_lattices(sK0)
| m2_filter_2(k17_filter_2(sK0),sK0) ),
inference(forward_subsumption_resolution,[],[f818,f285]) ).
fof(f823,plain,
m2_filter_2(k17_filter_2(sK0),sK0),
inference(forward_subsumption_resolution,[],[f821,f284]) ).
fof(f825,plain,
m2_filter_2(u1_struct_0(sK0),sK0),
inference(forward_demodulation,[],[f823,f495]) ).
fof(f830,plain,
m2_filter_2(k1_filter_0(sK0),sK0),
inference(forward_demodulation,[],[f825,f499]) ).
fof(f831,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(k1_filter_0(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f830,f636]) ).
fof(f832,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| m1_subset_1(k1_filter_0(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f831,f285]) ).
fof(f833,plain,
( ~ l3_lattices(sK0)
| m1_subset_1(k1_filter_0(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f832,f284]) ).
fof(f834,plain,
m1_subset_1(k1_filter_0(sK0),k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_subsumption_resolution,[],[f833,f283]) ).
fof(f835,plain,
m1_subset_1(k1_filter_0(sK0),k1_zfmisc_1(k1_filter_0(sK0))),
inference(forward_demodulation,[],[f834,f499]) ).
fof(f837,plain,
( v1_xboole_0(k1_filter_0(sK0))
| r1_filter_2(k1_filter_0(sK0),k1_filter_0(sK0),k1_filter_0(sK0)) ),
inference(resolution,[],[f835,f488]) ).
fof(f841,plain,
! [X0] :
( ~ l3_lattices(X0)
| m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(resolution,[],[f343,f330]) ).
fof(f861,plain,
! [X0] :
( ~ l3_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(resolution,[],[f340,f331]) ).
fof(f910,plain,
! [X0] :
( ~ 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(resolution,[],[f344,f330]) ).
fof(f951,plain,
! [X0] :
( ~ 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(resolution,[],[f341,f331]) ).
fof(f952,plain,
m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolution,[],[f841,f283]) ).
fof(f955,plain,
m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0)),
inference(forward_demodulation,[],[f952,f499]) ).
fof(f956,plain,
m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0)),
inference(resolution,[],[f955,f457]) ).
fof(f957,plain,
! [X2,X3,X0,X1] :
( g3_lattices(X1,X2,X3) != g3_lattices(k1_filter_0(sK0),X0,u2_lattices(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| k1_filter_0(sK0) = X1 ),
inference(resolution,[],[f956,f404]) ).
fof(f963,definition,
( spl29_36
<=> v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_36])],[avatar_definition]) ).
fof(f964,plain,
( ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| spl29_36 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f966,definition,
( spl29_37
<=> v1_funct_1(u2_lattices(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_37])],[avatar_definition]) ).
fof(f967,plain,
( ~ v1_funct_1(u2_lattices(sK0))
| spl29_37 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f985,definition,
( spl29_42
<=> ! [X0,X3,X2,X1] :
( g3_lattices(X1,X2,X3) != g3_lattices(k1_filter_0(sK0),X0,u2_lattices(sK0))
| k1_filter_0(sK0) = X1
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| ~ v1_funct_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl29_42])],[avatar_definition]) ).
fof(f986,plain,
( ! [X2,X3,X0,X1] :
( ~ v1_funct_2(X0,k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| k1_filter_0(sK0) = X1
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| g3_lattices(X1,X2,X3) != g3_lattices(k1_filter_0(sK0),X0,u2_lattices(sK0))
| ~ v1_funct_1(X0) )
| ~ spl29_42 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f987,plain,
( ~ spl29_36
| ~ spl29_37
| spl29_42 ),
inference(avatar_split_clause,[],[f957,f985,f966,f963]) ).
fof(f989,plain,
! [X0] :
( ~ l2_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(resolution,[],[f329,f359]) ).
fof(f990,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f989,f330]) ).
fof(f991,plain,
( ~ v1_xboole_0(k1_filter_0(sK0))
| v3_struct_0(sK0)
| ~ l3_lattices(sK0) ),
inference(superposition,[],[f990,f499]) ).
fof(f994,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| ~ spl29_14 ),
inference(forward_subsumption_resolution,[],[f991,f659]) ).
fof(f996,plain,
( ~ l3_lattices(sK0)
| ~ spl29_14 ),
inference(forward_subsumption_resolution,[],[f994,f285]) ).
fof(f998,plain,
( $false
| ~ spl29_14 ),
inference(forward_subsumption_resolution,[],[f996,f283]) ).
fof(f999,plain,
~ spl29_14,
inference(avatar_contradiction_clause,[],[f998]) ).
fof(f1012,definition,
( spl29_45
<=> r1_filter_2(k1_filter_0(sK0),k1_filter_0(sK0),k1_filter_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_45])],[avatar_definition]) ).
fof(f1013,plain,
( r1_filter_2(k1_filter_0(sK0),k1_filter_0(sK0),k1_filter_0(sK0))
| ~ spl29_45 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1014,plain,
( spl29_45
| spl29_14 ),
inference(avatar_split_clause,[],[f837,f658,f1012]) ).
fof(f1031,plain,
( ~ v1_xboole_0(k1_filter_0(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f991,f285]) ).
fof(f1039,plain,
~ v1_xboole_0(k1_filter_0(sK0)),
inference(forward_subsumption_resolution,[],[f1031,f283]) ).
fof(f1055,plain,
m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolution,[],[f861,f283]) ).
fof(f1058,plain,
m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0)),
inference(forward_demodulation,[],[f1055,f499]) ).
fof(f1059,plain,
m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0)),
inference(resolution,[],[f1058,f457]) ).
fof(f1069,definition,
( spl29_53
<=> v1_funct_1(u1_lattices(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_53])],[avatar_definition]) ).
fof(f1070,plain,
( ~ v1_funct_1(u1_lattices(sK0))
| spl29_53 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f1179,plain,
( k2_filter_2(k1_lattice2(sK0),k6_lattices(sK0)) = k2_filter_0(k1_lattice2(sK0),k6_lattices(sK0))
| ~ spl29_4
| ~ spl29_8 ),
inference(resolution,[],[f595,f726]) ).
fof(f1180,plain,
( k2_filter_2(k1_lattice2(sK0),k6_lattices(sK0)) = a_2_0_filter_0(k1_lattice2(sK0),k6_lattices(sK0))
| ~ spl29_4
| ~ spl29_8
| ~ spl29_10 ),
inference(forward_demodulation,[],[f1179,f729]) ).
fof(f1181,plain,
( k1_filter_0(k1_lattice2(sK0)) = k2_filter_2(k1_lattice2(sK0),k6_lattices(sK0))
| ~ spl29_4
| ~ spl29_8
| ~ spl29_10 ),
inference(forward_demodulation,[],[f1180,f766]) ).
fof(f1183,plain,
( k1_filter_0(k1_lattice2(sK0)) = a_2_0_filter_2(sK0,k6_lattices(sK0))
| ~ spl29_4
| ~ spl29_8
| ~ spl29_10 ),
inference(superposition,[],[f622,f1181]) ).
fof(f1187,plain,
( ~ r1_filter_2(k1_filter_0(sK0),k1_filter_0(sK0),k1_filter_0(k1_lattice2(sK0)))
| ~ spl29_4
| ~ spl29_8
| ~ spl29_10 ),
inference(superposition,[],[f623,f1183]) ).
fof(f1407,plain,
v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolution,[],[f910,f283]) ).
fof(f1412,plain,
v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0)),
inference(forward_demodulation,[],[f1407,f499]) ).
fof(f1413,plain,
( $false
| spl29_36 ),
inference(forward_subsumption_resolution,[],[f1412,f964]) ).
fof(f1414,plain,
spl29_36,
inference(avatar_contradiction_clause,[],[f1413]) ).
fof(f1415,plain,
( ~ l2_lattices(sK0)
| spl29_37 ),
inference(resolution,[],[f967,f345]) ).
fof(f1417,plain,
( ~ l3_lattices(sK0)
| spl29_37 ),
inference(resolution,[],[f1415,f330]) ).
fof(f1419,plain,
( $false
| spl29_37 ),
inference(forward_subsumption_resolution,[],[f1417,f283]) ).
fof(f1420,plain,
spl29_37,
inference(avatar_contradiction_clause,[],[f1419]) ).
fof(f1421,plain,
! [X0] :
( v1_xboole_0(k1_filter_0(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v3_struct_0(g3_lattices(k1_filter_0(sK0),X0,u2_lattices(sK0)))
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0)) ),
inference(resolution,[],[f1412,f373]) ).
fof(f1423,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v3_struct_0(g3_lattices(k1_filter_0(sK0),X0,u2_lattices(sK0)))
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f1421,f1039]) ).
fof(f1424,plain,
! [X0] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v3_struct_0(g3_lattices(k1_filter_0(sK0),X0,u2_lattices(sK0))) ),
inference(forward_subsumption_resolution,[],[f1423,f956]) ).
fof(f1426,definition,
( spl29_79
<=> ! [X0] :
( ~ v1_funct_1(X0)
| ~ v3_struct_0(g3_lattices(k1_filter_0(sK0),X0,u2_lattices(sK0)))
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_79])],[avatar_definition]) ).
fof(f1427,plain,
( ! [X0] :
( ~ v3_struct_0(g3_lattices(k1_filter_0(sK0),X0,u2_lattices(sK0)))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0)) )
| ~ spl29_79 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f1428,plain,
( ~ spl29_37
| spl29_79 ),
inference(avatar_split_clause,[],[f1424,f1426,f966]) ).
fof(f1471,plain,
( ~ v3_struct_0(k1_lattice2(sK0))
| ~ v1_funct_1(u1_lattices(sK0))
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| ~ spl29_79 ),
inference(superposition,[],[f1427,f606]) ).
fof(f1652,plain,
v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolution,[],[f951,f283]) ).
fof(f1657,plain,
v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0)),
inference(forward_demodulation,[],[f1652,f499]) ).
fof(f1660,plain,
( ~ l1_lattices(sK0)
| spl29_53 ),
inference(resolution,[],[f1070,f342]) ).
fof(f1662,plain,
( ~ l3_lattices(sK0)
| spl29_53 ),
inference(resolution,[],[f1660,f331]) ).
fof(f1664,plain,
( $false
| spl29_53 ),
inference(forward_subsumption_resolution,[],[f1662,f283]) ).
fof(f1665,plain,
spl29_53,
inference(avatar_contradiction_clause,[],[f1664]) ).
fof(f1666,plain,
( ~ v3_struct_0(k1_lattice2(sK0))
| ~ v1_funct_1(u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| ~ spl29_79 ),
inference(forward_subsumption_resolution,[],[f1471,f1059]) ).
fof(f1667,plain,
( ~ v3_struct_0(k1_lattice2(sK0))
| ~ v1_funct_1(u1_lattices(sK0))
| ~ spl29_79 ),
inference(forward_subsumption_resolution,[],[f1666,f1657]) ).
fof(f1669,plain,
( ~ spl29_53
| ~ spl29_2
| ~ spl29_79 ),
inference(avatar_split_clause,[],[f1667,f1426,f531,f1069]) ).
fof(f1671,plain,
( ! [X2,X0,X1] :
( k1_filter_0(sK0) = X0
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(k1_filter_0(sK0),k1_filter_0(sK0)),k1_filter_0(sK0))
| g3_lattices(X0,X1,X2) != g3_lattices(k1_filter_0(sK0),u1_lattices(sK0),u2_lattices(sK0))
| ~ v1_funct_1(u1_lattices(sK0)) )
| ~ spl29_42 ),
inference(resolution,[],[f1657,f986]) ).
fof(f1677,plain,
( ! [X2,X0,X1] :
( k1_filter_0(sK0) = X0
| g3_lattices(X0,X1,X2) != g3_lattices(k1_filter_0(sK0),u1_lattices(sK0),u2_lattices(sK0))
| ~ v1_funct_1(u1_lattices(sK0)) )
| ~ spl29_42 ),
inference(forward_subsumption_resolution,[],[f1671,f1059]) ).
fof(f1681,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| k1_filter_0(sK0) = X0
| ~ v1_funct_1(u1_lattices(sK0)) )
| ~ spl29_42 ),
inference(forward_demodulation,[],[f1677,f606]) ).
fof(f1692,definition,
( spl29_98
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| k1_filter_0(sK0) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl29_98])],[avatar_definition]) ).
fof(f1693,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| k1_filter_0(sK0) = X0 )
| ~ spl29_98 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f1694,plain,
( ~ spl29_53
| spl29_98
| ~ spl29_42 ),
inference(avatar_split_clause,[],[f1681,f985,f1692,f1069]) ).
fof(f1699,plain,
( k1_lattice2(sK0) != k1_lattice2(sK0)
| k1_filter_0(sK0) = k1_filter_0(k1_lattice2(sK0))
| ~ spl29_8
| ~ spl29_98 ),
inference(superposition,[],[f1693,f712]) ).
fof(f1701,plain,
( k1_filter_0(sK0) = k1_filter_0(k1_lattice2(sK0))
| ~ spl29_8
| ~ spl29_98 ),
inference(trivial_inequality_removal,[],[f1699]) ).
fof(f1703,definition,
( spl29_100
<=> k1_filter_0(sK0) = k1_filter_0(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_100])],[avatar_definition]) ).
fof(f1704,plain,
( k1_filter_0(sK0) = k1_filter_0(k1_lattice2(sK0))
| ~ spl29_100 ),
inference(avatar_component_clause,[],[f1703]) ).
fof(f1709,plain,
( spl29_100
| ~ spl29_8
| ~ spl29_98 ),
inference(avatar_split_clause,[],[f1701,f1692,f554,f1703]) ).
fof(f1758,plain,
( ~ r1_filter_2(k1_filter_0(sK0),k1_filter_0(sK0),k1_filter_0(sK0))
| ~ spl29_4
| ~ spl29_8
| ~ spl29_10
| ~ spl29_100 ),
inference(superposition,[],[f1187,f1704]) ).
fof(f1766,plain,
( $false
| ~ spl29_4
| ~ spl29_8
| ~ spl29_10
| ~ spl29_45
| ~ spl29_100 ),
inference(forward_subsumption_resolution,[],[f1758,f1013]) ).
fof(f1767,plain,
( ~ spl29_4
| ~ spl29_8
| ~ spl29_10
| ~ spl29_45
| ~ spl29_100 ),
inference(avatar_contradiction_clause,[],[f1766]) ).
cnf(s2,plain,
( ~ spl29_1
| spl29_2
| spl29_4 ),
inference(sat_conversion,[],[f540]) ).
cnf(s6,plain,
( ~ spl29_1
| spl29_2
| spl29_8 ),
inference(sat_conversion,[],[f556]) ).
cnf(s8,plain,
spl29_1,
inference(sat_conversion,[],[f567]) ).
cnf(s10,plain,
( spl29_2
| ~ spl29_8
| spl29_10 ),
inference(sat_conversion,[],[f581]) ).
cnf(s39,plain,
( ~ spl29_36
| ~ spl29_37
| spl29_42 ),
inference(sat_conversion,[],[f987]) ).
cnf(s41,plain,
~ spl29_14,
inference(sat_conversion,[],[f999]) ).
cnf(s44,plain,
( spl29_14
| spl29_45 ),
inference(sat_conversion,[],[f1014]) ).
cnf(s78,plain,
spl29_36,
inference(sat_conversion,[],[f1414]) ).
cnf(s80,plain,
spl29_37,
inference(sat_conversion,[],[f1420]) ).
cnf(s81,plain,
( ~ spl29_37
| spl29_79 ),
inference(sat_conversion,[],[f1428]) ).
cnf(s97,plain,
spl29_53,
inference(sat_conversion,[],[f1665]) ).
cnf(s98,plain,
( ~ spl29_2
| ~ spl29_53
| ~ spl29_79 ),
inference(sat_conversion,[],[f1669]) ).
cnf(s101,plain,
( ~ spl29_42
| ~ spl29_53
| spl29_98 ),
inference(sat_conversion,[],[f1694]) ).
cnf(s104,plain,
( ~ spl29_8
| ~ spl29_98
| spl29_100 ),
inference(sat_conversion,[],[f1709]) ).
cnf(s109,plain,
( ~ spl29_4
| ~ spl29_8
| ~ spl29_10
| ~ spl29_45
| ~ spl29_100 ),
inference(sat_conversion,[],[f1767]) ).
cnf(s111,plain,
spl29_79,
inference(rat,[],[s81,s80]) ).
cnf(s112,plain,
~ spl29_2,
inference(rat,[],[s98,s97,s111]) ).
cnf(s130,plain,
spl29_45,
inference(rat,[],[s44,s41]) ).
cnf(s134,plain,
spl29_42,
inference(rat,[],[s39,s80,s78]) ).
cnf(s135,plain,
spl29_98,
inference(rat,[],[s101,s97,s134]) ).
cnf(s165,plain,
( ~ spl29_8
| spl29_10 ),
inference(rat,[],[s10,s112]) ).
cnf(s183,plain,
spl29_8,
inference(rat,[],[s6,s112,s8]) ).
cnf(s185,plain,
spl29_100,
inference(rat,[],[s104,s135,s183]) ).
cnf(s197,plain,
spl29_10,
inference(rat,[],[s165,s183]) ).
cnf(s204,plain,
~ spl29_4,
inference(rat,[],[s109,s185,s130,s183,s197]) ).
cnf(s215,plain,
$false,
inference(rat,[],[s2,s204,s112,s8]) ).
fof(f1774,plain,
$false,
inference(avatar_sat_refutation,[],[s215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT306+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 14:27:19 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.77/2.11 % (3429946)Detected formulas, will run a generic FOF schedule.
% 8.77/2.11 % (3429955)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1795316175:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.77/2.11 % (3429955)Refutation not found, incomplete strategy
% 8.77/2.11 % (3429955)------------------------------
% 8.77/2.11 % (3429955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3429955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3429955)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3429955)Termination reason: Refutation not found, incomplete strategy
% 8.77/2.11 % (3429955)Time elapsed: 0.007 s
% 8.77/2.11 % (3429955)Peak memory usage: 88 MB
% 8.77/2.11 % (3429955)Instructions burned: 20 (million)
% 8.77/2.11 % (3429956)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4064666554:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.77/2.11 % (3429953)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=644907134:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.77/2.11 % (3429954)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2073619629:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.77/2.11 % (3429952)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3630791825:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.77/2.11 % (3429951)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1650168692:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.77/2.11 % (3429957)dis-21_1_sil=8000:lcm=predicate:random_seed=3035544375:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 8.77/2.11 % (3429954)Refutation not found, incomplete strategy
% 8.77/2.11 % (3429954)------------------------------
% 8.77/2.11 % (3429954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3429954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3429954)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3429954)Termination reason: Refutation not found, incomplete strategy
% 8.77/2.11 % (3429954)Time elapsed: 0.002 s
% 8.77/2.11 % (3429954)Peak memory usage: 88 MB
% 8.77/2.11 % (3429957)Instruction limit reached!
% 8.77/2.11 % (3429957)------------------------------
% 8.77/2.11 % (3429957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3429957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3429957)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3429957)Termination reason: Instruction limit
% 8.77/2.11 % (3429957)Termination phase: Saturation
% 8.77/2.11 % (3429957)Time elapsed: 0.069 s
% 8.77/2.11 % (3429957)Peak memory usage: 91 MB
% 8.77/2.11 % (3429957)Instructions burned: 131 (million)
% 8.77/2.11 % (3429956)Instruction limit reached!
% 8.77/2.11 % (3429956)------------------------------
% 8.77/2.11 % (3429956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3429956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3429956)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3429956)Termination reason: Instruction limit
% 8.77/2.11 % (3429956)Termination phase: Saturation
% 8.77/2.11 % (3429956)Time elapsed: 0.098 s
% 8.77/2.11 % (3429956)Peak memory usage: 90 MB
% 8.77/2.11 % (3429956)Instructions burned: 140 (million)
% 8.77/2.11 % (3429955)------------------------------
% 8.77/2.11 % (3429955)------------------------------
% 8.77/2.11 % (3429967)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2812324635:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.77/2.11 % (3429965)lrs+10_1_sil=8000:sp=occurrence:random_seed=2921040739:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.77/2.11 % (3429967)Refutation not found, incomplete strategy
% 8.77/2.11 % (3429967)------------------------------
% 8.77/2.11 % (3429967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3429967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3429967)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3429967)Termination reason: Refutation not found, incomplete strategy
% 8.77/2.11 % (3429967)Time elapsed: 0.003 s
% 8.77/2.11 % (3429967)Peak memory usage: 88 MB
% 8.77/2.11 % (3429967)Instructions burned: 5 (million)
% 8.77/2.11 % (3429966)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3223471905:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.77/2.11 % (3429954)------------------------------
% 8.77/2.11 % (3429954)------------------------------
% 8.77/2.11 % (3429966)Refutation not found, incomplete strategy
% 8.77/2.11 % (3429966)------------------------------
% 8.77/2.11 % (3429966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3429966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3429966)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3429966)Termination reason: Refutation not found, incomplete strategy
% 8.77/2.11 % (3429966)Time elapsed: 0.003 s
% 8.77/2.11 % (3429966)Peak memory usage: 89 MB
% 8.77/2.11 % (3429966)Instructions burned: 2 (million)
% 8.77/2.11 % (3429967)------------------------------
% 8.77/2.11 % (3429967)------------------------------
% 8.77/2.11 % (3429965)Instruction limit reached!
% 8.77/2.11 % (3429965)------------------------------
% 8.77/2.11 % (3429965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3429965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3429965)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3429965)Termination reason: Instruction limit
% 8.77/2.11 % (3429965)Termination phase: Saturation
% 8.77/2.11 % (3429965)Time elapsed: 0.170 s
% 8.77/2.11 % (3429965)Peak memory usage: 92 MB
% 8.77/2.11 % (3429965)Instructions burned: 286 (million)
% 8.77/2.11 % (3429971)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=715958372:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.77/2.11 % (3429966)------------------------------
% 8.77/2.11 % (3429966)------------------------------
% 8.77/2.11 % (3429972)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1140241065:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 8.77/2.11 % (3429972)Refutation not found, incomplete strategy
% 8.77/2.11 % (3429972)------------------------------
% 8.77/2.11 % (3429972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3429972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3429972)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3429972)Termination reason: Refutation not found, incomplete strategy
% 8.77/2.11 % (3429972)Time elapsed: 0.002 s
% 8.77/2.11 % (3429972)Peak memory usage: 88 MB
% 8.77/2.11 % (3429972)Instructions burned: 4 (million)
% 8.77/2.11 % (3429973)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=279156559:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.77/2.11 % (3429971)Instruction limit reached!
% 8.77/2.11 % (3429971)------------------------------
% 8.77/2.11 % (3429971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3429971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3429971)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3429971)Termination reason: Instruction limit
% 8.77/2.11 % (3429971)Termination phase: Saturation
% 8.77/2.11 % (3429971)Time elapsed: 0.150 s
% 8.77/2.11 % (3429971)Peak memory usage: 92 MB
% 8.77/2.11 % (3429971)Instructions burned: 249 (million)
% 8.77/2.11 % (3429972)------------------------------
% 8.77/2.11 % (3429972)------------------------------
% 8.77/2.11 % (3429975)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3559693864:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.77/2.11 % (3429978)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3937602323:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.77/2.11 % (3429975)Instruction limit reached!
% 8.77/2.11 % (3429975)------------------------------
% 8.77/2.11 % (3429975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3429975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3429975)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3429975)Termination reason: Instruction limit
% 8.77/2.11 % (3429975)Termination phase: Saturation
% 8.77/2.11 % (3429975)Time elapsed: 0.104 s
% 8.77/2.11 % (3429975)Peak memory usage: 91 MB
% 8.77/2.11 % (3429975)Instructions burned: 113 (million)
% 8.77/2.11 % (3429980)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=74865460:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.77/2.11 % (3429980)Refutation not found, incomplete strategy
% 8.77/2.11 % (3429980)------------------------------
% 8.77/2.11 % (3429980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3429980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3429980)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3429980)Termination reason: Refutation not found, incomplete strategy
% 8.77/2.11 % (3429980)Time elapsed: 0.001 s
% 8.77/2.11 % (3429980)Peak memory usage: 89 MB
% 8.77/2.11 % (3429980)Instructions burned: 2 (million)
% 8.77/2.11 % (3429952)First to succeed.
% 8.77/2.11 % (3429978)Instruction limit reached!
% 8.77/2.11 % (3429978)------------------------------
% 8.77/2.11 % (3429978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3429978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3429978)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3429978)Termination reason: Instruction limit
% 8.77/2.11 % (3429978)Termination phase: Saturation
% 8.77/2.11 % (3429978)Time elapsed: 0.066 s
% 8.77/2.11 % (3429978)Peak memory usage: 89 MB
% 8.77/2.11 % (3429978)Instructions burned: 129 (million)
% 8.77/2.11 % (3429952)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3429946"
% 8.77/2.11 % (3429953)Also succeeded, but the first one will report.
% 8.77/2.11 % (3429951)Also succeeded, but the first one will report.
% 8.77/2.11 % (3429982)lrs+10_1_sil=8000:sp=occurrence:random_seed=1227798192:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 8.77/2.11 % (3429980)------------------------------
% 8.77/2.11 % (3429980)------------------------------
% 8.77/2.11 % (3429984)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1531323710:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.77/2.11 % (3429984)Refutation not found, incomplete strategy
% 8.77/2.11 % (3429984)------------------------------
% 8.77/2.11 % (3429984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.11 % (3429984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.11 % (3429984)CaDiCaL version: 2.1.3
% 8.77/2.11 % (3429984)Termination reason: Refutation not found, incomplete strategy
% 8.77/2.11 % (3429984)Time elapsed: 0.007 s
% 8.77/2.11 % (3429984)Peak memory usage: 89 MB
% 8.77/2.11 % (3429984)Instructions burned: 11 (million)
% 8.77/2.11 % (3429986)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1592945730:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 8.77/2.11 % (3429952)Refutation found. Thanks to Tanya!
% 8.77/2.11 % SZS status Theorem for theBenchmark
% 8.77/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/2.31 % (3429952)------------------------------
% 0.15/2.31 % (3429952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.31 % (3429952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.31 % (3429952)CaDiCaL version: 2.1.3
% 0.15/2.31 % (3429952)Termination reason: Refutation
% 0.15/2.31 % (3429952)Time elapsed: 0.821 s
% 0.15/2.31 % (3429952)Peak memory usage: 131 MB
% 0.15/2.31 % (3429952)Instructions burned: 1186 (million)
% 0.15/2.31 % (3429952)------------------------------
% 0.15/2.31 % (3429952)------------------------------
% 0.15/2.31 % (3429946)Success in time 1.27 s
% 0.15/2.31 % Vampire exiting
%------------------------------------------------------------------------------