%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT307+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 : n005.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 11:46:45 AM UTC 2026
% Result : Theorem 4.37s 1.61s
% Output : Refutation 5.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 61
% Syntax : Number of formulae : 409 ( 51 unt; 37 def)
% Number of atoms : 1674 ( 136 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 2200 ( 935 ~;1050 |; 127 &)
% ( 47 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 66 ( 64 usr; 38 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 281 ( 0 sgn 275 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ~ ( X1 != u1_struct_0(X0)
& ! [X2] :
( m2_filter_2(X2,X0)
=> ~ ( r1_tarski(X1,X2)
& r2_filter_2(X0,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v14_lattices(X0)
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ~ ( X1 != u1_struct_0(X0)
& ! [X2] :
( m2_filter_2(X2,X0)
=> ~ ( r1_tarski(X1,X2)
& r2_filter_2(X0,X2) ) ) ) ) ) ),
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] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f13,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f14,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
=> k8_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_filter_2) ).
fof(f16,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_filter_0(X1,k1_lattice2(X0)) )
=> m2_filter_2(k14_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k14_filter_2) ).
fof(f17,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(f18,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(f27,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f28,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f32,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(f33,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(f35,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(f37,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(f50,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(f61,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(f62,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(f77,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_filter_0(X1,k1_lattice2(X0)) )
=> k14_filter_2(X0,X1) = k8_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k14_filter_2) ).
fof(f78,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f79,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f80,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(f83,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v13_lattices(X0)
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ~ ( X1 != u1_struct_0(X0)
& ! [X2] :
( m1_filter_0(X2,X0)
=> ~ ( r1_tarski(X1,X2)
& v1_filter_0(X2,X0) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_filter_0) ).
fof(f85,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_filter_2) ).
fof(f89,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(f104,plain,
? [X0] :
( ? [X1] :
( X1 != u1_struct_0(X0)
& ! [X2] :
( ~ r1_tarski(X1,X2)
| ~ r2_filter_2(X0,X2)
| ~ m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& v14_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f105,plain,
? [X0] :
( ? [X1] :
( X1 != u1_struct_0(X0)
& ! [X2] :
( ~ r1_tarski(X1,X2)
| ~ r2_filter_2(X0,X2)
| ~ m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& v14_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f104]) ).
fof(f106,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(f107,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f106]) ).
fof(f121,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f122]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f124]) ).
fof(f128,plain,
! [X0,X1] :
( m2_filter_2(k14_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,k1_lattice2(X0)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f129,plain,
! [X0,X1] :
( m2_filter_2(k14_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,k1_lattice2(X0)) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f131,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f139,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f140]) ).
fof(f144,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,[],[f32]) ).
fof(f145,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,[],[f144]) ).
fof(f146,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,[],[f33]) ).
fof(f147,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,[],[f146]) ).
fof(f149,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,[],[f35]) ).
fof(f150,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,[],[f37]) ).
fof(f161,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f162,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f161]) ).
fof(f179,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,[],[f61]) ).
fof(f180,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,[],[f179]) ).
fof(f181,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,[],[f62]) ).
fof(f182,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,[],[f181]) ).
fof(f188,plain,
! [X0,X1] :
( k14_filter_2(X0,X1) = k8_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,k1_lattice2(X0)) ),
inference(ennf_transformation,[],[f77]) ).
fof(f189,plain,
! [X0,X1] :
( k14_filter_2(X0,X1) = k8_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,k1_lattice2(X0)) ),
inference(flattening,[],[f188]) ).
fof(f190,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f191,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f192]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( u1_struct_0(X0) = X1
| ? [X2] :
( r1_tarski(X1,X2)
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( u1_struct_0(X0) = X1
| ? [X2] :
( r1_tarski(X1,X2)
& v1_filter_0(X2,X0)
& m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f195]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( r2_filter_2(X0,X1)
<=> v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f199]) ).
fof(f204,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f205,plain,
! [X0] :
( ( v14_lattices(X0)
<=> v13_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f204]) ).
fof(f209,plain,
( sK1 != u1_struct_0(sK0)
& ! [X2] :
( ~ r1_tarski(sK1,X2)
| ~ r2_filter_2(sK0,X2)
| ~ m2_filter_2(X2,sK0) )
& m2_filter_2(sK1,sK0)
& v14_lattices(sK0)
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f105]) ).
fof(f235,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f193]) ).
fof(f236,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,[],[f80]) ).
fof(f237,plain,
! [X0] :
( ! [X1] :
( u1_struct_0(X0) = X1
| ( r1_tarski(X1,sK27(X0,X1))
& v1_filter_0(sK27(X0,X1),X0)
& m1_filter_0(sK27(X0,X1),X0) )
| ~ m1_filter_0(X1,X0) )
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X2,sK27(X0,X1))],[f196]) ).
fof(f238,plain,
! [X0] :
( ! [X1] :
( ( ( r2_filter_2(X0,X1)
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0)) )
& ( v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ r2_filter_2(X0,X1) ) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f240,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,[],[f205]) ).
fof(f241,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f209]) ).
fof(f242,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f209]) ).
fof(f243,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f209]) ).
fof(f244,plain,
v14_lattices(sK0),
inference(cnf_transformation,[],[f209]) ).
fof(f245,plain,
m2_filter_2(sK1,sK0),
inference(cnf_transformation,[],[f209]) ).
fof(f246,plain,
! [X2] :
( ~ r1_tarski(sK1,X2)
| ~ r2_filter_2(sK0,X2)
| ~ m2_filter_2(X2,sK0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f247,plain,
sK1 != u1_struct_0(sK0),
inference(cnf_transformation,[],[f209]) ).
fof(f248,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f268,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f269,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f270,plain,
! [X0,X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f273,plain,
! [X0,X1] :
( m2_filter_2(k14_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f274,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f275,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f276,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f281,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f282,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f283,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f287,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,[],[f145]) ).
fof(f289,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f291,plain,
! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f292,plain,
! [X0] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f293,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f294,plain,
! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f295,plain,
! [X0] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f296,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f310,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f330,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f341,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X3
| 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(cnf_transformation,[],[f182]) ).
fof(f389,plain,
! [X0,X1] :
( k8_filter_2(X0,X1) = k14_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f189]) ).
fof(f390,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f391,plain,
! [X0,X1] :
( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f393,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f397,plain,
! [X0,X1] :
( u1_struct_0(X0) = X1
| m1_filter_0(sK27(X0,X1),X0)
| ~ m1_filter_0(X1,X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f398,plain,
! [X0,X1] :
( u1_struct_0(X0) = X1
| v1_filter_0(sK27(X0,X1),X0)
| ~ m1_filter_0(X1,X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f399,plain,
! [X0,X1] :
( u1_struct_0(X0) = X1
| r1_tarski(X1,sK27(X0,X1))
| ~ m1_filter_0(X1,X0)
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f402,plain,
! [X0,X1] :
( r2_filter_2(X0,X1)
| ~ v1_filter_0(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f407,plain,
! [X0] :
( v13_lattices(k1_lattice2(X0))
| ~ v14_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f415,definition,
( spl29_1
<=> m2_filter_2(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f417,plain,
( m2_filter_2(sK1,sK0)
| ~ spl29_1 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f418,plain,
spl29_1,
inference(avatar_split_clause,[],[f245,f415]) ).
fof(f421,plain,
( k15_filter_2(sK0,sK1) = k7_filter_2(sK0,sK1)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl29_1 ),
inference(resolution,[],[f417,f390]) ).
fof(f422,plain,
( m2_lattice4(sK1,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl29_1 ),
inference(resolution,[],[f417,f287]) ).
fof(f427,plain,
( m2_lattice4(sK1,sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f422,f243]) ).
fof(f428,plain,
( k15_filter_2(sK0,sK1) = k7_filter_2(sK0,sK1)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f421,f243]) ).
fof(f433,plain,
( m2_lattice4(sK1,sK0)
| ~ l3_lattices(sK0)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f427,f242]) ).
fof(f434,plain,
( k15_filter_2(sK0,sK1) = k7_filter_2(sK0,sK1)
| ~ l3_lattices(sK0)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f428,f242]) ).
fof(f439,plain,
( m2_lattice4(sK1,sK0)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f433,f241]) ).
fof(f440,plain,
( k15_filter_2(sK0,sK1) = k7_filter_2(sK0,sK1)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f434,f241]) ).
fof(f446,definition,
( spl29_2
<=> v3_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f448,plain,
( ~ v3_struct_0(sK0)
| spl29_2 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f449,plain,
~ spl29_2,
inference(avatar_split_clause,[],[f243,f446]) ).
fof(f451,definition,
( spl29_3
<=> v10_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f453,plain,
( v10_lattices(sK0)
| ~ spl29_3 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f454,plain,
spl29_3,
inference(avatar_split_clause,[],[f242,f451]) ).
fof(f456,definition,
( spl29_4
<=> l3_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f458,plain,
( l3_lattices(sK0)
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f459,plain,
spl29_4,
inference(avatar_split_clause,[],[f241,f456]) ).
fof(f470,plain,
( ! [X0] :
( k7_filter_2(sK0,X0) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| spl29_2 ),
inference(resolution,[],[f448,f269]) ).
fof(f471,plain,
( ! [X0] :
( k8_filter_2(sK0,X0) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| spl29_2 ),
inference(resolution,[],[f448,f270]) ).
fof(f480,plain,
( ! [X0] :
( m2_lattice4(X0,sK0)
| ~ m2_filter_2(X0,sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| spl29_2 ),
inference(resolution,[],[f448,f287]) ).
fof(f489,plain,
( ~ v3_struct_0(k1_lattice2(sK0))
| ~ l3_lattices(sK0)
| spl29_2 ),
inference(resolution,[],[f448,f310]) ).
fof(f504,plain,
( v10_lattices(k1_lattice2(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl29_2 ),
inference(resolution,[],[f448,f330]) ).
fof(f517,plain,
( ! [X0] :
( k8_filter_2(sK0,X0) = k14_filter_2(sK0,X0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_filter_0(X0,k1_lattice2(sK0)) )
| spl29_2 ),
inference(resolution,[],[f448,f389]) ).
fof(f518,plain,
( ! [X0] :
( k7_filter_2(sK0,X0) = k15_filter_2(sK0,X0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m2_filter_2(X0,sK0) )
| spl29_2 ),
inference(resolution,[],[f448,f390]) ).
fof(f526,plain,
( v13_lattices(k1_lattice2(sK0))
| ~ v14_lattices(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl29_2 ),
inference(resolution,[],[f448,f407]) ).
fof(f528,plain,
( v13_lattices(k1_lattice2(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| spl29_2 ),
inference(forward_subsumption_resolution,[],[f526,f244]) ).
fof(f536,plain,
( ! [X0] :
( k7_filter_2(sK0,X0) = k15_filter_2(sK0,X0)
| ~ l3_lattices(sK0)
| ~ m2_filter_2(X0,sK0) )
| spl29_2
| ~ spl29_3 ),
inference(forward_subsumption_resolution,[],[f518,f453]) ).
fof(f537,plain,
( ! [X0] :
( k8_filter_2(sK0,X0) = k14_filter_2(sK0,X0)
| ~ l3_lattices(sK0)
| ~ m1_filter_0(X0,k1_lattice2(sK0)) )
| spl29_2
| ~ spl29_3 ),
inference(forward_subsumption_resolution,[],[f517,f453]) ).
fof(f547,plain,
( v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0)
| spl29_2
| ~ spl29_3 ),
inference(forward_subsumption_resolution,[],[f504,f453]) ).
fof(f549,plain,
( ~ v3_struct_0(k1_lattice2(sK0))
| spl29_2
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f489,f458]) ).
fof(f557,plain,
( ! [X0] :
( m2_lattice4(X0,sK0)
| ~ m2_filter_2(X0,sK0)
| ~ l3_lattices(sK0) )
| spl29_2
| ~ spl29_3 ),
inference(forward_subsumption_resolution,[],[f480,f453]) ).
fof(f566,plain,
( ! [X0] :
( k8_filter_2(sK0,X0) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ l3_lattices(sK0) )
| spl29_2
| ~ spl29_3 ),
inference(forward_subsumption_resolution,[],[f471,f453]) ).
fof(f567,plain,
( ! [X0] :
( k7_filter_2(sK0,X0) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0) )
| spl29_2
| ~ spl29_3 ),
inference(forward_subsumption_resolution,[],[f470,f453]) ).
fof(f576,plain,
( v13_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0)
| spl29_2
| ~ spl29_3 ),
inference(forward_subsumption_resolution,[],[f528,f453]) ).
fof(f584,plain,
( ! [X0] :
( k7_filter_2(sK0,X0) = k15_filter_2(sK0,X0)
| ~ m2_filter_2(X0,sK0) )
| spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f536,f458]) ).
fof(f585,plain,
( ! [X0] :
( k8_filter_2(sK0,X0) = k14_filter_2(sK0,X0)
| ~ m1_filter_0(X0,k1_lattice2(sK0)) )
| spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f537,f458]) ).
fof(f595,plain,
( v10_lattices(k1_lattice2(sK0))
| spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f547,f458]) ).
fof(f604,plain,
( ! [X0] :
( m2_lattice4(X0,sK0)
| ~ m2_filter_2(X0,sK0) )
| spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f557,f458]) ).
fof(f613,plain,
( ! [X0] :
( k8_filter_2(sK0,X0) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) )
| spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f566,f458]) ).
fof(f614,plain,
( ! [X0] :
( k7_filter_2(sK0,X0) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) )
| spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f567,f458]) ).
fof(f622,plain,
( v13_lattices(k1_lattice2(sK0))
| spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f576,f458]) ).
fof(f638,plain,
( k1_lattice2(sK0) = g3_lattices(u1_struct_0(sK0),u1_lattices(sK0),u2_lattices(sK0))
| ~ spl29_4 ),
inference(resolution,[],[f458,f268]) ).
fof(f643,plain,
( l3_lattices(k1_lattice2(sK0))
| ~ spl29_4 ),
inference(resolution,[],[f458,f275]) ).
fof(f644,plain,
( v3_lattices(k1_lattice2(sK0))
| ~ spl29_4 ),
inference(resolution,[],[f458,f276]) ).
fof(f647,plain,
( l2_lattices(sK0)
| ~ spl29_4 ),
inference(resolution,[],[f458,f281]) ).
fof(f648,plain,
( l1_lattices(sK0)
| ~ spl29_4 ),
inference(resolution,[],[f458,f282]) ).
fof(f738,definition,
( spl29_5
<=> sK1 = u1_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f740,plain,
( sK1 != u1_struct_0(sK0)
| spl29_5 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f741,plain,
~ spl29_5,
inference(avatar_split_clause,[],[f247,f738]) ).
fof(f755,definition,
( spl29_6
<=> ! [X2] :
( ~ r1_tarski(sK1,X2)
| ~ r2_filter_2(sK0,X2)
| ~ m2_filter_2(X2,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f756,plain,
( ! [X2] :
( ~ r2_filter_2(sK0,X2)
| ~ r1_tarski(sK1,X2)
| ~ m2_filter_2(X2,sK0) )
| ~ spl29_6 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f757,plain,
spl29_6,
inference(avatar_split_clause,[],[f246,f755]) ).
fof(f765,plain,
( ! [X0] :
( ~ r1_tarski(sK1,X0)
| ~ m2_filter_2(X0,sK0)
| ~ v1_filter_0(k15_filter_2(sK0,X0),k1_lattice2(sK0))
| ~ m2_filter_2(X0,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl29_6 ),
inference(resolution,[],[f756,f402]) ).
fof(f766,plain,
( ! [X0] :
( ~ r1_tarski(sK1,X0)
| ~ m2_filter_2(X0,sK0)
| ~ v1_filter_0(k15_filter_2(sK0,X0),k1_lattice2(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl29_6 ),
inference(duplicate_literal_removal,[],[f765]) ).
fof(f767,plain,
( ! [X0] :
( ~ r1_tarski(sK1,X0)
| ~ m2_filter_2(X0,sK0)
| ~ v1_filter_0(k15_filter_2(sK0,X0),k1_lattice2(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| spl29_2
| ~ spl29_6 ),
inference(forward_subsumption_resolution,[],[f766,f448]) ).
fof(f768,plain,
( ! [X0] :
( ~ r1_tarski(sK1,X0)
| ~ m2_filter_2(X0,sK0)
| ~ v1_filter_0(k15_filter_2(sK0,X0),k1_lattice2(sK0))
| ~ l3_lattices(sK0) )
| spl29_2
| ~ spl29_3
| ~ spl29_6 ),
inference(forward_subsumption_resolution,[],[f767,f453]) ).
fof(f769,plain,
( ! [X0] :
( ~ r1_tarski(sK1,X0)
| ~ m2_filter_2(X0,sK0)
| ~ v1_filter_0(k15_filter_2(sK0,X0),k1_lattice2(sK0)) )
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_6 ),
inference(forward_subsumption_resolution,[],[f768,f458]) ).
fof(f771,definition,
( spl29_8
<=> ! [X0] :
( k8_filter_2(sK0,X0) = k14_filter_2(sK0,X0)
| ~ m1_filter_0(X0,k1_lattice2(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f772,plain,
( ! [X0] :
( k8_filter_2(sK0,X0) = k14_filter_2(sK0,X0)
| ~ m1_filter_0(X0,k1_lattice2(sK0)) )
| ~ spl29_8 ),
inference(avatar_component_clause,[],[f771]) ).
fof(f773,plain,
( spl29_8
| spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f585,f456,f451,f446,f771]) ).
fof(f774,plain,
( ! [X0] :
( m2_filter_2(k8_filter_2(sK0,X0),sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_filter_0(X0,k1_lattice2(sK0))
| ~ m1_filter_0(X0,k1_lattice2(sK0)) )
| ~ spl29_8 ),
inference(superposition,[],[f273,f772]) ).
fof(f775,plain,
( ! [X0] :
( m2_filter_2(k8_filter_2(sK0,X0),sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_filter_0(X0,k1_lattice2(sK0)) )
| ~ spl29_8 ),
inference(duplicate_literal_removal,[],[f774]) ).
fof(f776,plain,
( ! [X0] :
( m2_filter_2(k8_filter_2(sK0,X0),sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m1_filter_0(X0,k1_lattice2(sK0)) )
| spl29_2
| ~ spl29_8 ),
inference(forward_subsumption_resolution,[],[f775,f448]) ).
fof(f777,plain,
( ! [X0] :
( m2_filter_2(k8_filter_2(sK0,X0),sK0)
| ~ l3_lattices(sK0)
| ~ m1_filter_0(X0,k1_lattice2(sK0)) )
| spl29_2
| ~ spl29_3
| ~ spl29_8 ),
inference(forward_subsumption_resolution,[],[f776,f453]) ).
fof(f778,plain,
( ! [X0] :
( m2_filter_2(k8_filter_2(sK0,X0),sK0)
| ~ m1_filter_0(X0,k1_lattice2(sK0)) )
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_8 ),
inference(forward_subsumption_resolution,[],[f777,f458]) ).
fof(f794,definition,
( spl29_11
<=> k15_filter_2(sK0,sK1) = k7_filter_2(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f796,plain,
( k15_filter_2(sK0,sK1) = k7_filter_2(sK0,sK1)
| ~ spl29_11 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f797,plain,
( spl29_11
| ~ spl29_1 ),
inference(avatar_split_clause,[],[f440,f415,f794]) ).
fof(f800,plain,
( m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m2_filter_2(sK1,sK0)
| ~ spl29_11 ),
inference(superposition,[],[f274,f796]) ).
fof(f801,plain,
( m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ m2_filter_2(sK1,sK0)
| spl29_2
| ~ spl29_11 ),
inference(forward_subsumption_resolution,[],[f800,f448]) ).
fof(f802,plain,
( m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(sK0)
| ~ m2_filter_2(sK1,sK0)
| spl29_2
| ~ spl29_3
| ~ spl29_11 ),
inference(forward_subsumption_resolution,[],[f801,f453]) ).
fof(f803,plain,
( m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ m2_filter_2(sK1,sK0)
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_11 ),
inference(forward_subsumption_resolution,[],[f802,f458]) ).
fof(f804,plain,
( m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ spl29_1
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_11 ),
inference(forward_subsumption_resolution,[],[f803,f417]) ).
fof(f813,definition,
( spl29_12
<=> ! [X0] :
( k7_filter_2(sK0,X0) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f814,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k7_filter_2(sK0,X0) = X0 )
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f815,plain,
( spl29_12
| spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f614,f456,f451,f446,f813]) ).
fof(f816,plain,
( ! [X0] :
( k7_filter_2(sK0,X0) = X0
| ~ m2_lattice4(X0,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| ~ spl29_12 ),
inference(resolution,[],[f814,f289]) ).
fof(f835,plain,
( ! [X0] :
( k7_filter_2(sK0,X0) = X0
| ~ m2_lattice4(X0,sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) )
| spl29_2
| ~ spl29_12 ),
inference(forward_subsumption_resolution,[],[f816,f448]) ).
fof(f841,plain,
( ! [X0] :
( k7_filter_2(sK0,X0) = X0
| ~ m2_lattice4(X0,sK0)
| ~ l3_lattices(sK0) )
| spl29_2
| ~ spl29_3
| ~ spl29_12 ),
inference(forward_subsumption_resolution,[],[f835,f453]) ).
fof(f847,plain,
( ! [X0] :
( k7_filter_2(sK0,X0) = X0
| ~ m2_lattice4(X0,sK0) )
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_12 ),
inference(forward_subsumption_resolution,[],[f841,f458]) ).
fof(f849,definition,
( spl29_13
<=> ! [X0] :
( k8_filter_2(sK0,X0) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) ) ),
introduced(definition,[new_symbols(definition,[spl29_13])],[avatar_definition]) ).
fof(f850,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| k8_filter_2(sK0,X0) = X0 )
| ~ spl29_13 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f851,plain,
( spl29_13
| spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f613,f456,f451,f446,f849]) ).
fof(f853,plain,
( ! [X0] :
( k8_filter_2(sK0,X0) = X0
| ~ m1_filter_0(X0,k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0)) )
| ~ spl29_13 ),
inference(resolution,[],[f850,f283]) ).
fof(f872,plain,
( ! [X0] :
( k8_filter_2(sK0,X0) = X0
| ~ m1_filter_0(X0,k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0)) )
| spl29_2
| ~ spl29_4
| ~ spl29_13 ),
inference(forward_subsumption_resolution,[],[f853,f549]) ).
fof(f879,plain,
( ! [X0] :
( k8_filter_2(sK0,X0) = X0
| ~ m1_filter_0(X0,k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0)) )
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_13 ),
inference(forward_subsumption_resolution,[],[f872,f595]) ).
fof(f886,plain,
( ! [X0] :
( k8_filter_2(sK0,X0) = X0
| ~ m1_filter_0(X0,k1_lattice2(sK0)) )
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_13 ),
inference(forward_subsumption_resolution,[],[f879,f643]) ).
fof(f892,definition,
( spl29_14
<=> k1_lattice2(sK0) = g3_lattices(u1_struct_0(sK0),u1_lattices(sK0),u2_lattices(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_14])],[avatar_definition]) ).
fof(f894,plain,
( k1_lattice2(sK0) = g3_lattices(u1_struct_0(sK0),u1_lattices(sK0),u2_lattices(sK0))
| ~ spl29_14 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f895,plain,
( spl29_14
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f638,f456,f892]) ).
fof(f919,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0
| ~ v1_funct_1(u1_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) )
| ~ spl29_14 ),
inference(superposition,[],[f341,f894]) ).
fof(f931,definition,
( spl29_16
<=> ! [X0] :
( k7_filter_2(sK0,X0) = k15_filter_2(sK0,X0)
| ~ m2_filter_2(X0,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f932,plain,
( ! [X0] :
( k7_filter_2(sK0,X0) = k15_filter_2(sK0,X0)
| ~ m2_filter_2(X0,sK0) )
| ~ spl29_16 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f933,plain,
( spl29_16
| spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f584,f456,f451,f446,f931]) ).
fof(f949,definition,
( spl29_17
<=> ! [X0] :
( ~ r1_tarski(sK1,X0)
| ~ m2_filter_2(X0,sK0)
| ~ v1_filter_0(k15_filter_2(sK0,X0),k1_lattice2(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition]) ).
fof(f950,plain,
( ! [X0] :
( ~ v1_filter_0(k15_filter_2(sK0,X0),k1_lattice2(sK0))
| ~ m2_filter_2(X0,sK0)
| ~ r1_tarski(sK1,X0) )
| ~ spl29_17 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f951,plain,
( spl29_17
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_6 ),
inference(avatar_split_clause,[],[f769,f755,f456,f451,f446,f949]) ).
fof(f954,plain,
( ! [X0] :
( ~ v1_filter_0(k7_filter_2(sK0,X0),k1_lattice2(sK0))
| ~ m2_filter_2(X0,sK0)
| ~ r1_tarski(sK1,X0)
| ~ m2_filter_2(X0,sK0) )
| ~ spl29_16
| ~ spl29_17 ),
inference(superposition,[],[f950,f932]) ).
fof(f957,plain,
( ! [X0] :
( ~ v1_filter_0(k7_filter_2(sK0,X0),k1_lattice2(sK0))
| ~ m2_filter_2(X0,sK0)
| ~ r1_tarski(sK1,X0) )
| ~ spl29_16
| ~ spl29_17 ),
inference(duplicate_literal_removal,[],[f954]) ).
fof(f961,definition,
( spl29_18
<=> l1_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl29_18])],[avatar_definition]) ).
fof(f963,plain,
( l1_lattices(sK0)
| ~ spl29_18 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f964,plain,
( spl29_18
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f648,f456,f961]) ).
fof(f966,plain,
( m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl29_18 ),
inference(resolution,[],[f963,f291]) ).
fof(f967,plain,
( v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl29_18 ),
inference(resolution,[],[f963,f292]) ).
fof(f968,plain,
( v1_funct_1(u1_lattices(sK0))
| ~ spl29_18 ),
inference(resolution,[],[f963,f293]) ).
fof(f981,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) )
| ~ spl29_14
| ~ spl29_18 ),
inference(backward_subsumption_resolution,[],[f919,f968]) ).
fof(f988,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_1(u2_lattices(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) )
| ~ spl29_14
| ~ spl29_18 ),
inference(forward_subsumption_resolution,[],[f981,f967]) ).
fof(f991,definition,
( spl29_19
<=> m2_lattice4(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl29_19])],[avatar_definition]) ).
fof(f993,plain,
( m2_lattice4(sK1,sK0)
| ~ spl29_19 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f994,plain,
( spl29_19
| ~ spl29_1 ),
inference(avatar_split_clause,[],[f439,f415,f991]) ).
fof(f1006,definition,
( spl29_21
<=> l2_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl29_21])],[avatar_definition]) ).
fof(f1008,plain,
( l2_lattices(sK0)
| ~ spl29_21 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1009,plain,
( spl29_21
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f647,f456,f1006]) ).
fof(f1011,plain,
( m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl29_21 ),
inference(resolution,[],[f1008,f294]) ).
fof(f1012,plain,
( v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl29_21 ),
inference(resolution,[],[f1008,f295]) ).
fof(f1013,plain,
( v1_funct_1(u2_lattices(sK0))
| ~ spl29_21 ),
inference(resolution,[],[f1008,f296]) ).
fof(f1024,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) )
| ~ spl29_14
| ~ spl29_18
| ~ spl29_21 ),
inference(backward_subsumption_resolution,[],[f988,f1013]) ).
fof(f1027,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0
| ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) )
| ~ spl29_14
| ~ spl29_18
| ~ spl29_21 ),
inference(forward_subsumption_resolution,[],[f1024,f1012]) ).
fof(f1069,definition,
( spl29_24
<=> m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_24])],[avatar_definition]) ).
fof(f1071,plain,
( ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| spl29_24 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f1073,definition,
( spl29_25
<=> m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_25])],[avatar_definition]) ).
fof(f1075,plain,
( ~ m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| spl29_25 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1077,definition,
( spl29_26
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl29_26])],[avatar_definition]) ).
fof(f1078,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0 )
| ~ spl29_26 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1079,plain,
( ~ spl29_24
| ~ spl29_25
| spl29_26
| ~ spl29_14
| ~ spl29_18
| ~ spl29_21 ),
inference(avatar_split_clause,[],[f1027,f1006,f961,f892,f1077,f1073,f1069]) ).
fof(f1080,plain,
( ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| spl29_24 ),
inference(resolution,[],[f1071,f393]) ).
fof(f1087,plain,
( $false
| ~ spl29_21
| spl29_24 ),
inference(forward_subsumption_resolution,[],[f1080,f1011]) ).
fof(f1088,plain,
( ~ spl29_21
| spl29_24 ),
inference(avatar_contradiction_clause,[],[f1087]) ).
fof(f1097,plain,
( ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| spl29_25 ),
inference(resolution,[],[f1075,f393]) ).
fof(f1104,plain,
( $false
| ~ spl29_18
| spl29_25 ),
inference(forward_subsumption_resolution,[],[f1097,f966]) ).
fof(f1105,plain,
( ~ spl29_18
| spl29_25 ),
inference(avatar_contradiction_clause,[],[f1104]) ).
fof(f1114,plain,
( ! [X0] :
( k1_lattice2(sK0) != X0
| u1_struct_0(X0) = u1_struct_0(sK0)
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl29_26 ),
inference(superposition,[],[f1078,f248]) ).
fof(f1314,definition,
( spl29_32
<=> ! [X0] :
( k8_filter_2(sK0,X0) = X0
| ~ m1_filter_0(X0,k1_lattice2(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_32])],[avatar_definition]) ).
fof(f1315,plain,
( ! [X0] :
( k8_filter_2(sK0,X0) = X0
| ~ m1_filter_0(X0,k1_lattice2(sK0)) )
| ~ spl29_32 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1316,plain,
( spl29_32
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_13 ),
inference(avatar_split_clause,[],[f886,f849,f456,f451,f446,f1314]) ).
fof(f1342,definition,
( spl29_35
<=> m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_35])],[avatar_definition]) ).
fof(f1344,plain,
( m1_filter_2(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ spl29_35 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f1345,plain,
( spl29_35
| ~ spl29_1
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_11 ),
inference(avatar_split_clause,[],[f804,f794,f456,f451,f446,f415,f1342]) ).
fof(f1352,definition,
( spl29_37
<=> v13_lattices(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_37])],[avatar_definition]) ).
fof(f1354,plain,
( v13_lattices(k1_lattice2(sK0))
| ~ spl29_37 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f1355,plain,
( spl29_37
| spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f622,f456,f451,f446,f1352]) ).
fof(f1373,definition,
( spl29_38
<=> v10_lattices(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_38])],[avatar_definition]) ).
fof(f1375,plain,
( v10_lattices(k1_lattice2(sK0))
| ~ spl29_38 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f1376,plain,
( spl29_38
| spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f595,f456,f451,f446,f1373]) ).
fof(f1508,definition,
( spl29_41
<=> l3_lattices(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_41])],[avatar_definition]) ).
fof(f1510,plain,
( l3_lattices(k1_lattice2(sK0))
| ~ spl29_41 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f1511,plain,
( spl29_41
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f643,f456,f1508]) ).
fof(f1578,plain,
( m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl29_35 ),
inference(resolution,[],[f1344,f391]) ).
fof(f1585,plain,
( m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| spl29_2
| ~ spl29_4
| ~ spl29_35 ),
inference(forward_subsumption_resolution,[],[f1578,f549]) ).
fof(f1589,plain,
( m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| spl29_2
| ~ spl29_4
| ~ spl29_35
| ~ spl29_38 ),
inference(forward_subsumption_resolution,[],[f1585,f1375]) ).
fof(f1593,plain,
( m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| spl29_2
| ~ spl29_4
| ~ spl29_35
| ~ spl29_38
| ~ spl29_41 ),
inference(forward_subsumption_resolution,[],[f1589,f1510]) ).
fof(f1596,definition,
( spl29_42
<=> ! [X0] :
( k7_filter_2(sK0,X0) = X0
| ~ m2_lattice4(X0,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl29_42])],[avatar_definition]) ).
fof(f1597,plain,
( ! [X0] :
( k7_filter_2(sK0,X0) = X0
| ~ m2_lattice4(X0,sK0) )
| ~ spl29_42 ),
inference(avatar_component_clause,[],[f1596]) ).
fof(f1598,plain,
( spl29_42
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_12 ),
inference(avatar_split_clause,[],[f847,f813,f456,f451,f446,f1596]) ).
fof(f1608,definition,
( spl29_43
<=> ! [X0] :
( k1_lattice2(sK0) != X0
| u1_struct_0(X0) = u1_struct_0(sK0)
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ) ),
introduced(definition,[new_symbols(definition,[spl29_43])],[avatar_definition]) ).
fof(f1609,plain,
( ! [X0] :
( k1_lattice2(sK0) != X0
| u1_struct_0(X0) = u1_struct_0(sK0)
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl29_43 ),
inference(avatar_component_clause,[],[f1608]) ).
fof(f1610,plain,
( spl29_43
| ~ spl29_26 ),
inference(avatar_split_clause,[],[f1114,f1077,f1608]) ).
fof(f1611,plain,
( u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0))
| ~ v3_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl29_43 ),
inference(equality_resolution,[],[f1609]) ).
fof(f1612,plain,
( u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl29_4
| ~ spl29_43 ),
inference(forward_subsumption_resolution,[],[f1611,f644]) ).
fof(f1613,plain,
( u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0))
| ~ spl29_4
| ~ spl29_41
| ~ spl29_43 ),
inference(forward_subsumption_resolution,[],[f1612,f1510]) ).
fof(f1615,definition,
( spl29_44
<=> u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_44])],[avatar_definition]) ).
fof(f1617,plain,
( u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0))
| ~ spl29_44 ),
inference(avatar_component_clause,[],[f1615]) ).
fof(f1618,plain,
( spl29_44
| ~ spl29_4
| ~ spl29_41
| ~ spl29_43 ),
inference(avatar_split_clause,[],[f1613,f1608,f1508,f456,f1615]) ).
fof(f1880,definition,
( spl29_52
<=> m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_52])],[avatar_definition]) ).
fof(f1882,plain,
( m1_filter_0(k7_filter_2(sK0,sK1),k1_lattice2(sK0))
| ~ spl29_52 ),
inference(avatar_component_clause,[],[f1880]) ).
fof(f1883,plain,
( spl29_52
| spl29_2
| ~ spl29_4
| ~ spl29_35
| ~ spl29_38
| ~ spl29_41 ),
inference(avatar_split_clause,[],[f1593,f1508,f1373,f1342,f456,f446,f1880]) ).
fof(f1892,plain,
( m1_filter_0(sK1,k1_lattice2(sK0))
| ~ m2_lattice4(sK1,sK0)
| ~ spl29_42
| ~ spl29_52 ),
inference(superposition,[],[f1882,f1597]) ).
fof(f1895,plain,
( m1_filter_0(sK1,k1_lattice2(sK0))
| ~ spl29_19
| ~ spl29_42
| ~ spl29_52 ),
inference(forward_subsumption_resolution,[],[f1892,f993]) ).
fof(f1923,definition,
( spl29_53
<=> m1_filter_0(sK1,k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_53])],[avatar_definition]) ).
fof(f1925,plain,
( m1_filter_0(sK1,k1_lattice2(sK0))
| ~ spl29_53 ),
inference(avatar_component_clause,[],[f1923]) ).
fof(f1926,plain,
( spl29_53
| ~ spl29_19
| ~ spl29_42
| ~ spl29_52 ),
inference(avatar_split_clause,[],[f1895,f1880,f1596,f991,f1923]) ).
fof(f1929,plain,
( sK1 = u1_struct_0(k1_lattice2(sK0))
| m1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| ~ v13_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl29_53 ),
inference(resolution,[],[f1925,f397]) ).
fof(f1930,plain,
( sK1 = u1_struct_0(k1_lattice2(sK0))
| v1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| ~ v13_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl29_53 ),
inference(resolution,[],[f1925,f398]) ).
fof(f1931,plain,
( sK1 = u1_struct_0(k1_lattice2(sK0))
| r1_tarski(sK1,sK27(k1_lattice2(sK0),sK1))
| ~ v13_lattices(k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl29_53 ),
inference(resolution,[],[f1925,f399]) ).
fof(f1936,plain,
( sK1 = u1_struct_0(k1_lattice2(sK0))
| r1_tarski(sK1,sK27(k1_lattice2(sK0),sK1))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl29_37
| ~ spl29_53 ),
inference(forward_subsumption_resolution,[],[f1931,f1354]) ).
fof(f1937,plain,
( sK1 = u1_struct_0(k1_lattice2(sK0))
| v1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl29_37
| ~ spl29_53 ),
inference(forward_subsumption_resolution,[],[f1930,f1354]) ).
fof(f1938,plain,
( sK1 = u1_struct_0(k1_lattice2(sK0))
| m1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| ~ spl29_37
| ~ spl29_53 ),
inference(forward_subsumption_resolution,[],[f1929,f1354]) ).
fof(f1942,plain,
( sK1 = u1_struct_0(k1_lattice2(sK0))
| r1_tarski(sK1,sK27(k1_lattice2(sK0),sK1))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| spl29_2
| ~ spl29_4
| ~ spl29_37
| ~ spl29_53 ),
inference(forward_subsumption_resolution,[],[f1936,f549]) ).
fof(f1943,plain,
( sK1 = u1_struct_0(k1_lattice2(sK0))
| v1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| spl29_2
| ~ spl29_4
| ~ spl29_37
| ~ spl29_53 ),
inference(forward_subsumption_resolution,[],[f1937,f549]) ).
fof(f1944,plain,
( sK1 = u1_struct_0(k1_lattice2(sK0))
| m1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| spl29_2
| ~ spl29_4
| ~ spl29_37
| ~ spl29_53 ),
inference(forward_subsumption_resolution,[],[f1938,f549]) ).
fof(f1948,plain,
( sK1 = u1_struct_0(k1_lattice2(sK0))
| r1_tarski(sK1,sK27(k1_lattice2(sK0),sK1))
| ~ l3_lattices(k1_lattice2(sK0))
| spl29_2
| ~ spl29_4
| ~ spl29_37
| ~ spl29_38
| ~ spl29_53 ),
inference(forward_subsumption_resolution,[],[f1942,f1375]) ).
fof(f1949,plain,
( sK1 = u1_struct_0(k1_lattice2(sK0))
| v1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| spl29_2
| ~ spl29_4
| ~ spl29_37
| ~ spl29_38
| ~ spl29_53 ),
inference(forward_subsumption_resolution,[],[f1943,f1375]) ).
fof(f1950,plain,
( sK1 = u1_struct_0(k1_lattice2(sK0))
| m1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| ~ l3_lattices(k1_lattice2(sK0))
| spl29_2
| ~ spl29_4
| ~ spl29_37
| ~ spl29_38
| ~ spl29_53 ),
inference(forward_subsumption_resolution,[],[f1944,f1375]) ).
fof(f1954,plain,
( sK1 = u1_struct_0(k1_lattice2(sK0))
| r1_tarski(sK1,sK27(k1_lattice2(sK0),sK1))
| spl29_2
| ~ spl29_4
| ~ spl29_37
| ~ spl29_38
| ~ spl29_41
| ~ spl29_53 ),
inference(forward_subsumption_resolution,[],[f1948,f1510]) ).
fof(f1955,plain,
( sK1 = u1_struct_0(k1_lattice2(sK0))
| v1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| spl29_2
| ~ spl29_4
| ~ spl29_37
| ~ spl29_38
| ~ spl29_41
| ~ spl29_53 ),
inference(forward_subsumption_resolution,[],[f1949,f1510]) ).
fof(f1956,plain,
( sK1 = u1_struct_0(k1_lattice2(sK0))
| m1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| spl29_2
| ~ spl29_4
| ~ spl29_37
| ~ spl29_38
| ~ spl29_41
| ~ spl29_53 ),
inference(forward_subsumption_resolution,[],[f1950,f1510]) ).
fof(f1957,plain,
( sK1 = u1_struct_0(sK0)
| r1_tarski(sK1,sK27(k1_lattice2(sK0),sK1))
| spl29_2
| ~ spl29_4
| ~ spl29_37
| ~ spl29_38
| ~ spl29_41
| ~ spl29_44
| ~ spl29_53 ),
inference(forward_demodulation,[],[f1954,f1617]) ).
fof(f1958,plain,
( sK1 = u1_struct_0(sK0)
| v1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| spl29_2
| ~ spl29_4
| ~ spl29_37
| ~ spl29_38
| ~ spl29_41
| ~ spl29_44
| ~ spl29_53 ),
inference(forward_demodulation,[],[f1955,f1617]) ).
fof(f1959,plain,
( sK1 = u1_struct_0(sK0)
| m1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| spl29_2
| ~ spl29_4
| ~ spl29_37
| ~ spl29_38
| ~ spl29_41
| ~ spl29_44
| ~ spl29_53 ),
inference(forward_demodulation,[],[f1956,f1617]) ).
fof(f1960,plain,
( r1_tarski(sK1,sK27(k1_lattice2(sK0),sK1))
| spl29_2
| ~ spl29_4
| spl29_5
| ~ spl29_37
| ~ spl29_38
| ~ spl29_41
| ~ spl29_44
| ~ spl29_53 ),
inference(forward_subsumption_resolution,[],[f1957,f740]) ).
fof(f1961,plain,
( v1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| spl29_2
| ~ spl29_4
| spl29_5
| ~ spl29_37
| ~ spl29_38
| ~ spl29_41
| ~ spl29_44
| ~ spl29_53 ),
inference(forward_subsumption_resolution,[],[f1958,f740]) ).
fof(f1962,plain,
( m1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| spl29_2
| ~ spl29_4
| spl29_5
| ~ spl29_37
| ~ spl29_38
| ~ spl29_41
| ~ spl29_44
| ~ spl29_53 ),
inference(forward_subsumption_resolution,[],[f1959,f740]) ).
fof(f1964,definition,
( spl29_54
<=> r1_tarski(sK1,sK27(k1_lattice2(sK0),sK1)) ),
introduced(definition,[new_symbols(definition,[spl29_54])],[avatar_definition]) ).
fof(f1966,plain,
( r1_tarski(sK1,sK27(k1_lattice2(sK0),sK1))
| ~ spl29_54 ),
inference(avatar_component_clause,[],[f1964]) ).
fof(f1967,plain,
( spl29_54
| spl29_2
| ~ spl29_4
| spl29_5
| ~ spl29_37
| ~ spl29_38
| ~ spl29_41
| ~ spl29_44
| ~ spl29_53 ),
inference(avatar_split_clause,[],[f1960,f1923,f1615,f1508,f1373,f1352,f738,f456,f446,f1964]) ).
fof(f1970,definition,
( spl29_55
<=> m1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_55])],[avatar_definition]) ).
fof(f1972,plain,
( m1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| ~ spl29_55 ),
inference(avatar_component_clause,[],[f1970]) ).
fof(f1973,plain,
( spl29_55
| spl29_2
| ~ spl29_4
| spl29_5
| ~ spl29_37
| ~ spl29_38
| ~ spl29_41
| ~ spl29_44
| ~ spl29_53 ),
inference(avatar_split_clause,[],[f1962,f1923,f1615,f1508,f1373,f1352,f738,f456,f446,f1970]) ).
fof(f2021,definition,
( spl29_57
<=> v1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_57])],[avatar_definition]) ).
fof(f2023,plain,
( v1_filter_0(sK27(k1_lattice2(sK0),sK1),k1_lattice2(sK0))
| ~ spl29_57 ),
inference(avatar_component_clause,[],[f2021]) ).
fof(f2024,plain,
( spl29_57
| spl29_2
| ~ spl29_4
| spl29_5
| ~ spl29_37
| ~ spl29_38
| ~ spl29_41
| ~ spl29_44
| ~ spl29_53 ),
inference(avatar_split_clause,[],[f1961,f1923,f1615,f1508,f1373,f1352,f738,f456,f446,f2021]) ).
fof(f2036,definition,
( spl29_60
<=> ! [X0] :
( ~ v1_filter_0(k7_filter_2(sK0,X0),k1_lattice2(sK0))
| ~ m2_filter_2(X0,sK0)
| ~ r1_tarski(sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl29_60])],[avatar_definition]) ).
fof(f2037,plain,
( ! [X0] :
( ~ v1_filter_0(k7_filter_2(sK0,X0),k1_lattice2(sK0))
| ~ m2_filter_2(X0,sK0)
| ~ r1_tarski(sK1,X0) )
| ~ spl29_60 ),
inference(avatar_component_clause,[],[f2036]) ).
fof(f2038,plain,
( spl29_60
| ~ spl29_16
| ~ spl29_17 ),
inference(avatar_split_clause,[],[f957,f949,f931,f2036]) ).
fof(f2039,plain,
( ! [X0] :
( ~ v1_filter_0(X0,k1_lattice2(sK0))
| ~ m2_filter_2(X0,sK0)
| ~ r1_tarski(sK1,X0)
| ~ m2_lattice4(X0,sK0) )
| ~ spl29_42
| ~ spl29_60 ),
inference(superposition,[],[f2037,f1597]) ).
fof(f2042,plain,
( ! [X0] :
( ~ v1_filter_0(X0,k1_lattice2(sK0))
| ~ m2_filter_2(X0,sK0)
| ~ r1_tarski(sK1,X0) )
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_42
| ~ spl29_60 ),
inference(forward_subsumption_resolution,[],[f2039,f604]) ).
fof(f2191,definition,
( spl29_72
<=> ! [X0] :
( m2_filter_2(k8_filter_2(sK0,X0),sK0)
| ~ m1_filter_0(X0,k1_lattice2(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_72])],[avatar_definition]) ).
fof(f2192,plain,
( ! [X0] :
( m2_filter_2(k8_filter_2(sK0,X0),sK0)
| ~ m1_filter_0(X0,k1_lattice2(sK0)) )
| ~ spl29_72 ),
inference(avatar_component_clause,[],[f2191]) ).
fof(f2193,plain,
( spl29_72
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_8 ),
inference(avatar_split_clause,[],[f778,f771,f456,f451,f446,f2191]) ).
fof(f2203,plain,
( ! [X0] :
( m2_filter_2(X0,sK0)
| ~ m1_filter_0(X0,k1_lattice2(sK0))
| ~ m1_filter_0(X0,k1_lattice2(sK0)) )
| ~ spl29_32
| ~ spl29_72 ),
inference(superposition,[],[f2192,f1315]) ).
fof(f2205,plain,
( ! [X0] :
( m2_filter_2(X0,sK0)
| ~ m1_filter_0(X0,k1_lattice2(sK0)) )
| ~ spl29_32
| ~ spl29_72 ),
inference(duplicate_literal_removal,[],[f2203]) ).
fof(f2303,definition,
( spl29_81
<=> ! [X0] :
( ~ v1_filter_0(X0,k1_lattice2(sK0))
| ~ m2_filter_2(X0,sK0)
| ~ r1_tarski(sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl29_81])],[avatar_definition]) ).
fof(f2304,plain,
( ! [X0] :
( ~ v1_filter_0(X0,k1_lattice2(sK0))
| ~ m2_filter_2(X0,sK0)
| ~ r1_tarski(sK1,X0) )
| ~ spl29_81 ),
inference(avatar_component_clause,[],[f2303]) ).
fof(f2305,plain,
( spl29_81
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_42
| ~ spl29_60 ),
inference(avatar_split_clause,[],[f2042,f2036,f1596,f456,f451,f446,f2303]) ).
fof(f2307,plain,
( ~ m2_filter_2(sK27(k1_lattice2(sK0),sK1),sK0)
| ~ r1_tarski(sK1,sK27(k1_lattice2(sK0),sK1))
| ~ spl29_57
| ~ spl29_81 ),
inference(resolution,[],[f2304,f2023]) ).
fof(f2312,plain,
( ~ m2_filter_2(sK27(k1_lattice2(sK0),sK1),sK0)
| ~ spl29_54
| ~ spl29_57
| ~ spl29_81 ),
inference(forward_subsumption_resolution,[],[f2307,f1966]) ).
fof(f2320,definition,
( spl29_82
<=> m2_filter_2(sK27(k1_lattice2(sK0),sK1),sK0) ),
introduced(definition,[new_symbols(definition,[spl29_82])],[avatar_definition]) ).
fof(f2322,plain,
( ~ m2_filter_2(sK27(k1_lattice2(sK0),sK1),sK0)
| spl29_82 ),
inference(avatar_component_clause,[],[f2320]) ).
fof(f2323,plain,
( ~ spl29_82
| ~ spl29_54
| ~ spl29_57
| ~ spl29_81 ),
inference(avatar_split_clause,[],[f2312,f2303,f2021,f1964,f2320]) ).
fof(f2418,definition,
( spl29_89
<=> ! [X0] :
( m2_filter_2(X0,sK0)
| ~ m1_filter_0(X0,k1_lattice2(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_89])],[avatar_definition]) ).
fof(f2419,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK0))
| m2_filter_2(X0,sK0) )
| ~ spl29_89 ),
inference(avatar_component_clause,[],[f2418]) ).
fof(f2420,plain,
( spl29_89
| ~ spl29_32
| ~ spl29_72 ),
inference(avatar_split_clause,[],[f2205,f2191,f1314,f2418]) ).
fof(f2428,plain,
( m2_filter_2(sK27(k1_lattice2(sK0),sK1),sK0)
| ~ spl29_55
| ~ spl29_89 ),
inference(resolution,[],[f2419,f1972]) ).
fof(f2431,plain,
( $false
| ~ spl29_55
| spl29_82
| ~ spl29_89 ),
inference(forward_subsumption_resolution,[],[f2428,f2322]) ).
fof(f2432,plain,
( ~ spl29_55
| spl29_82
| ~ spl29_89 ),
inference(avatar_contradiction_clause,[],[f2431]) ).
cnf(s1,plain,
spl29_1,
inference(sat_conversion,[],[f418]) ).
cnf(s2,plain,
~ spl29_2,
inference(sat_conversion,[],[f449]) ).
cnf(s3,plain,
spl29_3,
inference(sat_conversion,[],[f454]) ).
cnf(s4,plain,
spl29_4,
inference(sat_conversion,[],[f459]) ).
cnf(s5,plain,
~ spl29_5,
inference(sat_conversion,[],[f741]) ).
cnf(s6,plain,
spl29_6,
inference(sat_conversion,[],[f757]) ).
cnf(s8,plain,
( spl29_2
| ~ spl29_3
| ~ spl29_4
| spl29_8 ),
inference(sat_conversion,[],[f773]) ).
cnf(s10,plain,
( ~ spl29_1
| spl29_11 ),
inference(sat_conversion,[],[f797]) ).
cnf(s12,plain,
( spl29_2
| ~ spl29_3
| ~ spl29_4
| spl29_12 ),
inference(sat_conversion,[],[f815]) ).
cnf(s13,plain,
( spl29_2
| ~ spl29_3
| ~ spl29_4
| spl29_13 ),
inference(sat_conversion,[],[f851]) ).
cnf(s14,plain,
( ~ spl29_4
| spl29_14 ),
inference(sat_conversion,[],[f895]) ).
cnf(s16,plain,
( spl29_2
| ~ spl29_3
| ~ spl29_4
| spl29_16 ),
inference(sat_conversion,[],[f933]) ).
cnf(s17,plain,
( spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_6
| spl29_17 ),
inference(sat_conversion,[],[f951]) ).
cnf(s18,plain,
( ~ spl29_4
| spl29_18 ),
inference(sat_conversion,[],[f964]) ).
cnf(s19,plain,
( ~ spl29_1
| spl29_19 ),
inference(sat_conversion,[],[f994]) ).
cnf(s21,plain,
( ~ spl29_4
| spl29_21 ),
inference(sat_conversion,[],[f1009]) ).
cnf(s24,plain,
( ~ spl29_14
| ~ spl29_18
| ~ spl29_21
| ~ spl29_24
| ~ spl29_25
| spl29_26 ),
inference(sat_conversion,[],[f1079]) ).
cnf(s25,plain,
( ~ spl29_21
| spl29_24 ),
inference(sat_conversion,[],[f1088]) ).
cnf(s26,plain,
( ~ spl29_18
| spl29_25 ),
inference(sat_conversion,[],[f1105]) ).
cnf(s32,plain,
( spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_13
| spl29_32 ),
inference(sat_conversion,[],[f1316]) ).
cnf(s35,plain,
( ~ spl29_1
| spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_11
| spl29_35 ),
inference(sat_conversion,[],[f1345]) ).
cnf(s37,plain,
( spl29_2
| ~ spl29_3
| ~ spl29_4
| spl29_37 ),
inference(sat_conversion,[],[f1355]) ).
cnf(s38,plain,
( spl29_2
| ~ spl29_3
| ~ spl29_4
| spl29_38 ),
inference(sat_conversion,[],[f1376]) ).
cnf(s40,plain,
( ~ spl29_4
| spl29_41 ),
inference(sat_conversion,[],[f1511]) ).
cnf(s41,plain,
( spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_12
| spl29_42 ),
inference(sat_conversion,[],[f1598]) ).
cnf(s42,plain,
( ~ spl29_26
| spl29_43 ),
inference(sat_conversion,[],[f1610]) ).
cnf(s43,plain,
( ~ spl29_4
| ~ spl29_41
| ~ spl29_43
| spl29_44 ),
inference(sat_conversion,[],[f1618]) ).
cnf(s51,plain,
( spl29_2
| ~ spl29_4
| ~ spl29_35
| ~ spl29_38
| ~ spl29_41
| spl29_52 ),
inference(sat_conversion,[],[f1883]) ).
cnf(s52,plain,
( ~ spl29_19
| ~ spl29_42
| ~ spl29_52
| spl29_53 ),
inference(sat_conversion,[],[f1926]) ).
cnf(s53,plain,
( spl29_2
| ~ spl29_4
| spl29_5
| ~ spl29_37
| ~ spl29_38
| ~ spl29_41
| ~ spl29_44
| ~ spl29_53
| spl29_54 ),
inference(sat_conversion,[],[f1967]) ).
cnf(s54,plain,
( spl29_2
| ~ spl29_4
| spl29_5
| ~ spl29_37
| ~ spl29_38
| ~ spl29_41
| ~ spl29_44
| ~ spl29_53
| spl29_55 ),
inference(sat_conversion,[],[f1973]) ).
cnf(s56,plain,
( spl29_2
| ~ spl29_4
| spl29_5
| ~ spl29_37
| ~ spl29_38
| ~ spl29_41
| ~ spl29_44
| ~ spl29_53
| spl29_57 ),
inference(sat_conversion,[],[f2024]) ).
cnf(s59,plain,
( ~ spl29_16
| ~ spl29_17
| spl29_60 ),
inference(sat_conversion,[],[f2038]) ).
cnf(s71,plain,
( spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_8
| spl29_72 ),
inference(sat_conversion,[],[f2193]) ).
cnf(s80,plain,
( spl29_2
| ~ spl29_3
| ~ spl29_4
| ~ spl29_42
| ~ spl29_60
| spl29_81 ),
inference(sat_conversion,[],[f2305]) ).
cnf(s81,plain,
( ~ spl29_54
| ~ spl29_57
| ~ spl29_81
| ~ spl29_82 ),
inference(sat_conversion,[],[f2323]) ).
cnf(s88,plain,
( ~ spl29_32
| ~ spl29_72
| spl29_89 ),
inference(sat_conversion,[],[f2420]) ).
cnf(s89,plain,
( ~ spl29_55
| spl29_82
| ~ spl29_89 ),
inference(sat_conversion,[],[f2432]) ).
cnf(s91,plain,
spl29_41,
inference(rat,[],[s40,s4]) ).
cnf(s92,plain,
spl29_21,
inference(rat,[],[s21,s4]) ).
cnf(s93,plain,
spl29_18,
inference(rat,[],[s18,s4]) ).
cnf(s94,plain,
spl29_14,
inference(rat,[],[s14,s4]) ).
cnf(s96,plain,
spl29_24,
inference(rat,[],[s25,s92]) ).
cnf(s99,plain,
spl29_25,
inference(rat,[],[s26,s93]) ).
cnf(s100,plain,
spl29_26,
inference(rat,[],[s24,s93,s99,s96,s92,s94]) ).
cnf(s105,plain,
spl29_43,
inference(rat,[],[s42,s100]) ).
cnf(s111,plain,
spl29_44,
inference(rat,[],[s43,s91,s4,s105]) ).
cnf(s120,plain,
spl29_38,
inference(rat,[],[s38,s3,s4,s2]) ).
cnf(s121,plain,
spl29_37,
inference(rat,[],[s37,s3,s4,s2]) ).
cnf(s123,plain,
spl29_17,
inference(rat,[],[s17,s3,s6,s4,s2]) ).
cnf(s124,plain,
spl29_16,
inference(rat,[],[s16,s3,s4,s2]) ).
cnf(s126,plain,
spl29_13,
inference(rat,[],[s13,s3,s4,s2]) ).
cnf(s127,plain,
spl29_12,
inference(rat,[],[s12,s3,s4,s2]) ).
cnf(s128,plain,
spl29_8,
inference(rat,[],[s8,s3,s4,s2]) ).
cnf(s133,plain,
spl29_60,
inference(rat,[],[s59,s123,s124]) ).
cnf(s139,plain,
spl29_32,
inference(rat,[],[s32,s2,s3,s4,s126]) ).
cnf(s142,plain,
spl29_42,
inference(rat,[],[s41,s2,s3,s4,s127]) ).
cnf(s143,plain,
spl29_72,
inference(rat,[],[s71,s2,s3,s4,s128]) ).
cnf(s147,plain,
spl29_81,
inference(rat,[],[s80,s133,s2,s3,s4,s142]) ).
cnf(s148,plain,
spl29_89,
inference(rat,[],[s88,s139,s143]) ).
cnf(s151,plain,
spl29_19,
inference(rat,[],[s19,s1]) ).
cnf(s152,plain,
spl29_11,
inference(rat,[],[s10,s1]) ).
cnf(s153,plain,
spl29_35,
inference(rat,[],[s35,s1,s2,s4,s3,s152]) ).
cnf(s154,plain,
spl29_52,
inference(rat,[],[s51,s120,s91,s2,s4,s153]) ).
cnf(s155,plain,
spl29_53,
inference(rat,[],[s52,s151,s142,s154]) ).
cnf(s157,plain,
spl29_57,
inference(rat,[],[s56,s121,s120,s111,s91,s2,s4,s5,s155]) ).
cnf(s158,plain,
spl29_55,
inference(rat,[],[s54,s121,s120,s111,s91,s2,s4,s5,s155]) ).
cnf(s159,plain,
spl29_54,
inference(rat,[],[s53,s121,s120,s111,s91,s2,s4,s5,s155]) ).
cnf(s160,plain,
spl29_82,
inference(rat,[],[s89,s148,s158]) ).
cnf(s163,plain,
$false,
inference(rat,[],[s81,s157,s147,s160,s159]) ).
fof(f2443,plain,
$false,
inference(avatar_sat_refutation,[],[s163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT307+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:26:32 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 4.37/1.61 % (4042469)Detected formulas, will run a generic FOF schedule.
% 4.37/1.61 % (4042476)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=1564812980:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.37/1.61 % (4042479)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1058868766:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.37/1.61 % (4042477)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2585979148:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.37/1.61 % (4042478)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2727957849:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.37/1.61 % (4042474)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=4163918519:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.37/1.61 % (4042480)dis-21_1_sil=8000:lcm=predicate:random_seed=2167346094: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)
% 4.37/1.61 % (4042475)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=3585461680:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.37/1.61 % (4042477)Refutation not found, incomplete strategy
% 4.37/1.61 % (4042477)------------------------------
% 4.37/1.61 % (4042477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.61 % (4042477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.61 % (4042477)CaDiCaL version: 2.1.3
% 4.37/1.61 % (4042477)Termination reason: Refutation not found, incomplete strategy
% 4.37/1.61 % (4042477)Time elapsed: 0.002 s
% 4.37/1.61 % (4042477)Peak memory usage: 87 MB
% 4.37/1.61 % (4042477)Instructions burned: 1 (million)
% 4.37/1.61 % (4042478)Instruction limit reached!
% 4.37/1.61 % (4042478)------------------------------
% 4.37/1.61 % (4042478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.61 % (4042478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.61 % (4042478)CaDiCaL version: 2.1.3
% 4.37/1.61 % (4042478)Termination reason: Instruction limit
% 4.37/1.61 % (4042478)Termination phase: Saturation
% 4.37/1.61 % (4042478)Time elapsed: 0.062 s
% 4.37/1.61 % (4042478)Peak memory usage: 88 MB
% 4.37/1.61 % (4042478)Instructions burned: 120 (million)
% 4.37/1.61 % (4042480)Instruction limit reached!
% 4.37/1.61 % (4042480)------------------------------
% 4.37/1.61 % (4042480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.61 % (4042480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.61 % (4042480)CaDiCaL version: 2.1.3
% 4.37/1.61 % (4042480)Termination reason: Instruction limit
% 4.37/1.61 % (4042480)Termination phase: Saturation
% 4.37/1.61 % (4042480)Time elapsed: 0.070 s
% 4.37/1.61 % (4042480)Peak memory usage: 91 MB
% 4.37/1.61 % (4042480)Instructions burned: 130 (million)
% 4.37/1.61 % (4042479)Instruction limit reached!
% 4.37/1.61 % (4042479)------------------------------
% 4.37/1.61 % (4042479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.61 % (4042479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.61 % (4042479)CaDiCaL version: 2.1.3
% 4.37/1.61 % (4042479)Termination reason: Instruction limit
% 4.37/1.61 % (4042479)Termination phase: Saturation
% 4.37/1.61 % (4042479)Time elapsed: 0.097 s
% 4.37/1.61 % (4042479)Peak memory usage: 90 MB
% 4.37/1.61 % (4042479)Instructions burned: 139 (million)
% 4.37/1.61 % (4042488)lrs+10_1_sil=8000:sp=occurrence:random_seed=3933940506:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.37/1.61 % (4042489)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3083767914:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.37/1.61 % (4042489)Refutation not found, incomplete strategy
% 4.37/1.61 % (4042489)------------------------------
% 4.37/1.61 % (4042489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.61 % (4042489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.61 % (4042489)CaDiCaL version: 2.1.3
% 4.37/1.61 % (4042489)Termination reason: Refutation not found, incomplete strategy
% 4.37/1.61 % (4042489)Time elapsed: 0.004 s
% 4.37/1.61 % (4042489)Peak memory usage: 88 MB
% 4.37/1.61 % (4042489)Instructions burned: 3 (million)
% 4.37/1.61 % (4042477)------------------------------
% 4.37/1.61 % (4042477)------------------------------
% 4.37/1.61 % (4042490)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1296025694:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.37/1.61 % (4042490)Refutation not found, incomplete strategy
% 4.37/1.61 % (4042490)------------------------------
% 4.37/1.61 % (4042490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.61 % (4042490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.61 % (4042490)CaDiCaL version: 2.1.3
% 4.37/1.61 % (4042490)Termination reason: Refutation not found, incomplete strategy
% 4.37/1.61 % (4042490)Time elapsed: 0.007 s
% 4.37/1.61 % (4042490)Peak memory usage: 88 MB
% 4.37/1.61 % (4042490)Instructions burned: 9 (million)
% 4.37/1.61 % (4042476)First to succeed.
% 4.37/1.61 % (4042488)Instruction limit reached!
% 4.37/1.61 % (4042488)------------------------------
% 4.37/1.61 % (4042488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.61 % (4042488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.61 % (4042488)CaDiCaL version: 2.1.3
% 4.37/1.61 % (4042488)Termination reason: Instruction limit
% 4.37/1.61 % (4042488)Termination phase: Saturation
% 4.37/1.61 % (4042488)Time elapsed: 0.170 s
% 4.37/1.61 % (4042488)Peak memory usage: 91 MB
% 4.37/1.61 % (4042488)Instructions burned: 286 (million)
% 4.37/1.61 % (4042476)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4042469"
% 4.37/1.61 % (4042493)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=3437905984:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.37/1.61 % (4042489)------------------------------
% 4.37/1.61 % (4042489)------------------------------
% 4.37/1.61 % (4042490)------------------------------
% 4.37/1.61 % (4042490)------------------------------
% 4.37/1.61 % (4042476)Refutation found. Thanks to Tanya!
% 4.37/1.61 % SZS status Theorem for theBenchmark
% 4.37/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 5.88/1.81 % (4042476)------------------------------
% 5.88/1.81 % (4042476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.81 % (4042476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.81 % (4042476)CaDiCaL version: 2.1.3
% 5.88/1.81 % (4042476)Termination reason: Refutation
% 5.88/1.81 % (4042476)Time elapsed: 0.441 s
% 5.88/1.81 % (4042476)Peak memory usage: 132 MB
% 5.88/1.81 % (4042476)Instructions burned: 1184 (million)
% 5.88/1.81 % (4042476)------------------------------
% 5.88/1.81 % (4042476)------------------------------
% 5.88/1.81 % (4042469)Success in time 0.742 s
% 5.88/1.81 % Vampire exiting
%------------------------------------------------------------------------------