%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT332+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 11:47:02 AM UTC 2026
% Result : Theorem 8.09s 2.16s
% Output : Refutation 9.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 40
% Syntax : Number of formulae : 283 ( 44 unt; 15 def)
% Number of atoms : 1009 ( 184 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 1210 ( 484 ~; 550 |; 117 &)
% ( 28 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 16 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 2 con; 0-3 aty)
% Number of variables : 218 ( 1 sgn 206 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( k23_filter_2(X0,k17_filter_2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
& k23_filter_2(X0,k1_filter_2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t72_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( k23_filter_2(X0,k17_filter_2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
& k23_filter_2(X0,k1_filter_2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f10,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> ! [X2] :
( m2_nat_lat(X2,X0)
=> ( X2 = k23_filter_2(X0,X1)
<=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X2 = g3_lattices(X1,X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_filter_2) ).
fof(f11,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( ( ( X1 = k1_xboole_0
=> X0 = k1_xboole_0 )
=> ( v1_funct_2(X2,X0,X1)
<=> X0 = k4_relset_1(X0,X1,X2) ) )
& ( X1 = k1_xboole_0
=> ( X0 = k1_xboole_0
| ( v1_funct_2(X2,X0,X1)
<=> X2 = k1_xboole_0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_funct_2) ).
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/sandbox/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f13,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1] : k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_realset1) ).
fof(f14,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k17_filter_2(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_2) ).
fof(f16,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m2_filter_2(k17_filter_2(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k17_filter_2) ).
fof(f18,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_2(k1_filter_2(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_filter_2) ).
fof(f23,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
=> m2_nat_lat(k23_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k23_filter_2) ).
fof(f28,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f31,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f32,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/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f36,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f39,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f40,axiom,
! [X0] :
( l1_lattices(X0)
=> ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f42,axiom,
! [X0] :
( l2_lattices(X0)
=> ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f56,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f58,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f83,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_2(X0) = k1_filter_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_filter_2) ).
fof(f84,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f86,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f87,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f90,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f100,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ( r1_tarski(k1_relat_1(X1),X0)
=> k7_relat_1(X1,X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t97_relat_1) ).
fof(f101,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f90]) ).
fof(f102,plain,
? [X0] :
( ( k23_filter_2(X0,k17_filter_2(X0)) != g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k23_filter_2(X0,k1_filter_2(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f103,plain,
? [X0] :
( ( k23_filter_2(X0,k17_filter_2(X0)) != g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k23_filter_2(X0,k1_filter_2(X0)) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f102]) ).
fof(f110,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f7]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k23_filter_2(X0,X1)
<=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X2 = g3_lattices(X1,X3,X4) ) ) )
| ~ m2_nat_lat(X2,X0) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k23_filter_2(X0,X1)
<=> ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X2 = g3_lattices(X1,X3,X4) ) ) )
| ~ m2_nat_lat(X2,X0) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ( ( ( v1_funct_2(X2,X0,X1)
<=> X0 = k4_relset_1(X0,X1,X2) )
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 ) )
& ( X0 = k1_xboole_0
| ( v1_funct_2(X2,X0,X1)
<=> X2 = k1_xboole_0 )
| k1_xboole_0 != X1 ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ( ( ( v1_funct_2(X2,X0,X1)
<=> X0 = k4_relset_1(X0,X1,X2) )
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 ) )
& ( X0 = k1_xboole_0
| ( v1_funct_2(X2,X0,X1)
<=> X2 = k1_xboole_0 )
| k1_xboole_0 != X1 ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(flattening,[],[f117]) ).
fof(f119,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(f120,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
! [X0] :
( ! [X1] : k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1))
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f122,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f123,plain,
! [X0] :
( k17_filter_2(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f122]) ).
fof(f126,plain,
! [X0] :
( m2_filter_2(k17_filter_2(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f127,plain,
! [X0] :
( m2_filter_2(k17_filter_2(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f126]) ).
fof(f130,plain,
! [X0] :
( m1_filter_2(k1_filter_2(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f131,plain,
! [X0] :
( m1_filter_2(k1_filter_2(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0,X1] :
( m2_nat_lat(k23_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f133,plain,
! [X0,X1] :
( m2_nat_lat(k23_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(flattening,[],[f132]) ).
fof(f137,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f139,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31]) ).
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,[],[f32]) ).
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,[],[f36]) ).
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(f150,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f151,plain,
! [X0] :
( ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f152,plain,
! [X0] :
( ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f164,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f165,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f164]) ).
fof(f193,plain,
! [X0] :
( k1_filter_2(X0) = k1_filter_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f194,plain,
! [X0] :
( k1_filter_2(X0) = k1_filter_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f193]) ).
fof(f195,plain,
! [X0,X1,X2] :
( k4_relset_1(X0,X1,X2) = k1_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f84]) ).
fof(f197,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,[],[f86]) ).
fof(f198,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,[],[f197]) ).
fof(f214,plain,
! [X0,X1] :
( k7_relat_1(X1,X0) = X1
| ~ r1_tarski(k1_relat_1(X1),X0)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f100]) ).
fof(f215,plain,
! [X0,X1] :
( k7_relat_1(X1,X0) = X1
| ~ r1_tarski(k1_relat_1(X1),X0)
| ~ v1_relat_1(X1) ),
inference(flattening,[],[f214]) ).
fof(f216,plain,
( ( k23_filter_2(sK0,k17_filter_2(sK0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) != k23_filter_2(sK0,k1_filter_2(sK0)) )
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f103]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k23_filter_2(X0,X1)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(u2_lattices(X0),X1) != X3
| k1_realset1(u1_lattices(X0),X1) != X4
| g3_lattices(X1,X3,X4) != X2 ) ) )
& ( ? [X3] :
( v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
& X3 = k1_realset1(u2_lattices(X0),X1)
& X4 = k1_realset1(u1_lattices(X0),X1)
& X2 = g3_lattices(X1,X3,X4) ) )
| k23_filter_2(X0,X1) != X2 ) )
| ~ m2_nat_lat(X2,X0) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f116]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k23_filter_2(X0,X1)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(u2_lattices(X0),X1) != X3
| k1_realset1(u1_lattices(X0),X1) != X4
| g3_lattices(X1,X3,X4) != X2 ) ) )
& ( ? [X5] :
( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X5,k2_zfmisc_1(X1,X1),X1)
& ? [X6] :
( v1_funct_1(X6)
& v1_funct_2(X6,k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(X6,k2_zfmisc_1(X1,X1),X1)
& k1_realset1(u2_lattices(X0),X1) = X5
& k1_realset1(u1_lattices(X0),X1) = X6
& g3_lattices(X1,X5,X6) = X2 ) )
| k23_filter_2(X0,X1) != X2 ) )
| ~ m2_nat_lat(X2,X0) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(rectify,[],[f217]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k23_filter_2(X0,X1)
| ! [X3] :
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m2_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| k1_realset1(u2_lattices(X0),X1) != X3
| k1_realset1(u1_lattices(X0),X1) != X4
| g3_lattices(X1,X3,X4) != X2 ) ) )
& ( ( v1_funct_1(sK1(X0,X1,X2))
& v1_funct_2(sK1(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(sK1(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(sK2(X0,X1,X2))
& v1_funct_2(sK2(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
& m2_relset_1(sK2(X0,X1,X2),k2_zfmisc_1(X1,X1),X1)
& k1_realset1(u2_lattices(X0),X1) = sK1(X0,X1,X2)
& k1_realset1(u1_lattices(X0),X1) = sK2(X0,X1,X2)
& g3_lattices(X1,sK1(X0,X1,X2),sK2(X0,X1,X2)) = X2 )
| k23_filter_2(X0,X1) != X2 ) )
| ~ m2_nat_lat(X2,X0) )
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X5,sK1(X0,X1,X2)),skolemize(X6,sK2(X0,X1,X2))],[f218]) ).
fof(f220,plain,
! [X0,X1,X2] :
( ( ( ( ( v1_funct_2(X2,X0,X1)
| k4_relset_1(X0,X1,X2) != X0 )
& ( X0 = k4_relset_1(X0,X1,X2)
| ~ v1_funct_2(X2,X0,X1) ) )
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 ) )
& ( X0 = k1_xboole_0
| ( ( v1_funct_2(X2,X0,X1)
| k1_xboole_0 != X2 )
& ( X2 = k1_xboole_0
| ~ v1_funct_2(X2,X0,X1) ) )
| k1_xboole_0 != X1 ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(nnf_transformation,[],[f118]) ).
fof(f247,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,[],[f198]) ).
fof(f248,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,[],[f87]) ).
fof(f251,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f216]) ).
fof(f252,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f216]) ).
fof(f253,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f216]) ).
fof(f254,plain,
( k23_filter_2(sK0,k17_filter_2(sK0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) != k23_filter_2(sK0,k1_filter_2(sK0)) ),
inference(cnf_transformation,[],[f216]) ).
fof(f265,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f110]) ).
fof(f271,plain,
! [X2,X0,X1] :
( g3_lattices(X1,sK1(X0,X1,X2),sK2(X0,X1,X2)) = X2
| k23_filter_2(X0,X1) != X2
| ~ m2_nat_lat(X2,X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f272,plain,
! [X2,X0,X1] :
( k1_realset1(u1_lattices(X0),X1) = sK2(X0,X1,X2)
| k23_filter_2(X0,X1) != X2
| ~ m2_nat_lat(X2,X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f273,plain,
! [X2,X0,X1] :
( k1_realset1(u2_lattices(X0),X1) = sK1(X0,X1,X2)
| k23_filter_2(X0,X1) != X2
| ~ m2_nat_lat(X2,X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f283,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| k1_xboole_0 = X1
| k4_relset_1(X0,X1,X2) = X0 ),
inference(cnf_transformation,[],[f220]) ).
fof(f287,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| u1_struct_0(X0) = k1_filter_0(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f288,plain,
! [X0,X1] :
( ~ v1_relat_1(X0)
| k1_realset1(X0,X1) = k7_relat_1(X0,k2_zfmisc_1(X1,X1)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f289,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k17_filter_2(X0) = u1_struct_0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f292,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m2_filter_2(k17_filter_2(X0),X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f294,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m1_filter_2(k1_filter_2(X0),X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f295,plain,
! [X0,X1] :
( m2_nat_lat(k23_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f299,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f301,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f302,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f304,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f307,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f313,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f314,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,[],[f151]) ).
fof(f315,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,[],[f151]) ).
fof(f317,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,[],[f152]) ).
fof(f318,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,[],[f152]) ).
fof(f333,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f335,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f58]) ).
fof(f420,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k1_filter_2(X0) = k1_filter_0(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f421,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
inference(cnf_transformation,[],[f195]) ).
fof(f423,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f425,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f426,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f430,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f101]) ).
fof(f441,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| ~ r1_tarski(k1_relat_1(X1),X0)
| k7_relat_1(X1,X0) = X1 ),
inference(cnf_transformation,[],[f215]) ).
fof(f451,plain,
! [X0,X1] :
( k1_realset1(u2_lattices(X0),X1) = sK1(X0,X1,k23_filter_2(X0,X1))
| ~ m2_nat_lat(k23_filter_2(X0,X1),X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f273]) ).
fof(f452,plain,
! [X0,X1] :
( k1_realset1(u1_lattices(X0),X1) = sK2(X0,X1,k23_filter_2(X0,X1))
| ~ m2_nat_lat(k23_filter_2(X0,X1),X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f272]) ).
fof(f453,plain,
! [X0,X1] :
( k23_filter_2(X0,X1) = g3_lattices(X1,sK1(X0,X1,k23_filter_2(X0,X1)),sK2(X0,X1,k23_filter_2(X0,X1)))
| ~ m2_nat_lat(k23_filter_2(X0,X1),X0)
| v1_xboole_0(X1)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f271]) ).
fof(f461,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| k23_filter_2(X0,X1) = g3_lattices(X1,sK1(X0,X1,k23_filter_2(X0,X1)),sK2(X0,X1,k23_filter_2(X0,X1)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f453,f295]) ).
fof(f462,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| k1_realset1(u1_lattices(X0),X1) = sK2(X0,X1,k23_filter_2(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f452,f295]) ).
fof(f463,plain,
! [X0,X1] :
( ~ m2_lattice4(X1,X0)
| v1_xboole_0(X1)
| k1_realset1(u2_lattices(X0),X1) = sK1(X0,X1,k23_filter_2(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f451,f295]) ).
fof(f471,definition,
( spl29_1
<=> g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) = k23_filter_2(sK0,k1_filter_2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f472,plain,
( g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) != k23_filter_2(sK0,k1_filter_2(sK0))
| spl29_1 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f474,definition,
( spl29_2
<=> k23_filter_2(sK0,k17_filter_2(sK0)) = g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f475,plain,
( k23_filter_2(sK0,k17_filter_2(sK0)) != g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0))
| spl29_2 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f476,plain,
( ~ spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f254,f474,f471]) ).
fof(f477,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| u1_struct_0(sK0) = k1_filter_0(sK0) ),
inference(resolution,[],[f287,f251]) ).
fof(f478,plain,
( ~ v10_lattices(sK0)
| u1_struct_0(sK0) = k1_filter_0(sK0) ),
inference(forward_subsumption_resolution,[],[f477,f253]) ).
fof(f479,plain,
u1_struct_0(sK0) = k1_filter_0(sK0),
inference(forward_subsumption_resolution,[],[f478,f252]) ).
fof(f480,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| k1_filter_2(sK0) = k1_filter_0(sK0) ),
inference(resolution,[],[f420,f251]) ).
fof(f481,plain,
( ~ v10_lattices(sK0)
| k1_filter_2(sK0) = k1_filter_0(sK0) ),
inference(forward_subsumption_resolution,[],[f480,f253]) ).
fof(f482,plain,
k1_filter_2(sK0) = k1_filter_0(sK0),
inference(forward_subsumption_resolution,[],[f481,f252]) ).
fof(f483,plain,
u1_struct_0(sK0) = k1_filter_2(sK0),
inference(forward_demodulation,[],[f482,f479]) ).
fof(f484,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| k17_filter_2(sK0) = u1_struct_0(sK0) ),
inference(resolution,[],[f289,f251]) ).
fof(f485,plain,
( ~ v10_lattices(sK0)
| k17_filter_2(sK0) = u1_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f484,f253]) ).
fof(f486,plain,
k17_filter_2(sK0) = u1_struct_0(sK0),
inference(forward_subsumption_resolution,[],[f485,f252]) ).
fof(f491,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| m2_filter_2(k17_filter_2(sK0),sK0) ),
inference(resolution,[],[f292,f251]) ).
fof(f492,plain,
( ~ v10_lattices(sK0)
| m2_filter_2(k17_filter_2(sK0),sK0) ),
inference(forward_subsumption_resolution,[],[f491,f253]) ).
fof(f493,plain,
m2_filter_2(k17_filter_2(sK0),sK0),
inference(forward_subsumption_resolution,[],[f492,f252]) ).
fof(f494,plain,
m2_filter_2(u1_struct_0(sK0),sK0),
inference(forward_demodulation,[],[f493,f486]) ).
fof(f495,plain,
( m2_lattice4(u1_struct_0(sK0),sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f494,f307]) ).
fof(f496,plain,
( m2_lattice4(u1_struct_0(sK0),sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f495,f253]) ).
fof(f497,plain,
( m2_lattice4(u1_struct_0(sK0),sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f496,f252]) ).
fof(f498,plain,
m2_lattice4(u1_struct_0(sK0),sK0),
inference(forward_subsumption_resolution,[],[f497,f251]) ).
fof(f500,plain,
( v1_xboole_0(u1_struct_0(sK0))
| sK2(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))) = k1_realset1(u1_lattices(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f498,f462]) ).
fof(f501,plain,
( v1_xboole_0(u1_struct_0(sK0))
| sK1(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))) = k1_realset1(u2_lattices(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f498,f463]) ).
fof(f502,plain,
( v1_xboole_0(u1_struct_0(sK0))
| k23_filter_2(sK0,u1_struct_0(sK0)) = g3_lattices(u1_struct_0(sK0),sK1(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))),sK2(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f498,f461]) ).
fof(f503,plain,
( v1_xboole_0(u1_struct_0(sK0))
| k23_filter_2(sK0,u1_struct_0(sK0)) = g3_lattices(u1_struct_0(sK0),sK1(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))),sK2(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f502,f253]) ).
fof(f504,plain,
( v1_xboole_0(u1_struct_0(sK0))
| sK1(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))) = k1_realset1(u2_lattices(sK0),u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f501,f253]) ).
fof(f505,plain,
( v1_xboole_0(u1_struct_0(sK0))
| sK2(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))) = k1_realset1(u1_lattices(sK0),u1_struct_0(sK0))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f500,f253]) ).
fof(f507,plain,
( v1_xboole_0(u1_struct_0(sK0))
| k23_filter_2(sK0,u1_struct_0(sK0)) = g3_lattices(u1_struct_0(sK0),sK1(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))),sK2(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f503,f252]) ).
fof(f508,plain,
( v1_xboole_0(u1_struct_0(sK0))
| sK1(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))) = k1_realset1(u2_lattices(sK0),u1_struct_0(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f504,f252]) ).
fof(f509,plain,
( v1_xboole_0(u1_struct_0(sK0))
| sK2(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))) = k1_realset1(u1_lattices(sK0),u1_struct_0(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f505,f252]) ).
fof(f511,plain,
( v1_xboole_0(u1_struct_0(sK0))
| k23_filter_2(sK0,u1_struct_0(sK0)) = g3_lattices(u1_struct_0(sK0),sK1(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))),sK2(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0)))) ),
inference(forward_subsumption_resolution,[],[f507,f251]) ).
fof(f512,plain,
( v1_xboole_0(u1_struct_0(sK0))
| sK1(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))) = k1_realset1(u2_lattices(sK0),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f508,f251]) ).
fof(f513,plain,
( v1_xboole_0(u1_struct_0(sK0))
| sK2(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))) = k1_realset1(u1_lattices(sK0),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f509,f251]) ).
fof(f516,definition,
( spl29_3
<=> k23_filter_2(sK0,u1_struct_0(sK0)) = g3_lattices(u1_struct_0(sK0),sK1(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))),sK2(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f517,plain,
( k23_filter_2(sK0,u1_struct_0(sK0)) = g3_lattices(u1_struct_0(sK0),sK1(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))),sK2(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))))
| ~ spl29_3 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f519,definition,
( spl29_4
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f520,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f521,plain,
( spl29_3
| spl29_4 ),
inference(avatar_split_clause,[],[f511,f519,f516]) ).
fof(f523,definition,
( spl29_5
<=> sK1(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))) = k1_realset1(u2_lattices(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f524,plain,
( sK1(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))) = k1_realset1(u2_lattices(sK0),u1_struct_0(sK0))
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f525,plain,
( spl29_5
| spl29_4 ),
inference(avatar_split_clause,[],[f512,f519,f523]) ).
fof(f527,definition,
( spl29_6
<=> sK2(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))) = k1_realset1(u1_lattices(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f528,plain,
( sK2(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))) = k1_realset1(u1_lattices(sK0),u1_struct_0(sK0))
| ~ spl29_6 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f529,plain,
( spl29_6
| spl29_4 ),
inference(avatar_split_clause,[],[f513,f519,f527]) ).
fof(f536,plain,
! [X0] :
( ~ l1_lattices(X0)
| m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(resolution,[],[f425,f314]) ).
fof(f537,plain,
! [X0] :
( ~ l2_lattices(X0)
| m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(resolution,[],[f425,f317]) ).
fof(f538,plain,
! [X0] :
( ~ l3_lattices(X0)
| m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(resolution,[],[f536,f302]) ).
fof(f539,plain,
! [X0] :
( ~ l3_lattices(X0)
| m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(resolution,[],[f537,f301]) ).
fof(f540,plain,
m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolution,[],[f538,f251]) ).
fof(f547,plain,
k4_relset_1(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0),u1_lattices(sK0)) = k1_relat_1(u1_lattices(sK0)),
inference(resolution,[],[f540,f421]) ).
fof(f549,definition,
( spl29_8
<=> v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f550,plain,
( ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| spl29_8 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f576,plain,
( ~ l1_lattices(sK0)
| spl29_8 ),
inference(resolution,[],[f550,f315]) ).
fof(f578,plain,
( ~ l3_lattices(sK0)
| spl29_8 ),
inference(resolution,[],[f576,f302]) ).
fof(f580,plain,
( $false
| spl29_8 ),
inference(forward_subsumption_resolution,[],[f578,f251]) ).
fof(f581,plain,
spl29_8,
inference(avatar_contradiction_clause,[],[f580]) ).
fof(f591,plain,
m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolution,[],[f539,f251]) ).
fof(f598,plain,
k4_relset_1(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0),u2_lattices(sK0)) = k1_relat_1(u2_lattices(sK0)),
inference(resolution,[],[f591,f421]) ).
fof(f642,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| m1_filter_2(k1_filter_2(sK0),sK0) ),
inference(resolution,[],[f294,f251]) ).
fof(f643,plain,
( ~ v10_lattices(sK0)
| m1_filter_2(k1_filter_2(sK0),sK0) ),
inference(forward_subsumption_resolution,[],[f642,f253]) ).
fof(f644,plain,
m1_filter_2(k1_filter_2(sK0),sK0),
inference(forward_subsumption_resolution,[],[f643,f252]) ).
fof(f645,plain,
m1_filter_2(u1_struct_0(sK0),sK0),
inference(forward_demodulation,[],[f644,f483]) ).
fof(f647,plain,
( m1_filter_0(u1_struct_0(sK0),sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f645,f423]) ).
fof(f648,plain,
( m1_filter_0(u1_struct_0(sK0),sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f647,f253]) ).
fof(f649,plain,
( m1_filter_0(u1_struct_0(sK0),sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f648,f252]) ).
fof(f650,plain,
m1_filter_0(u1_struct_0(sK0),sK0),
inference(forward_subsumption_resolution,[],[f649,f251]) ).
fof(f742,plain,
m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)),
inference(resolution,[],[f426,f540]) ).
fof(f745,plain,
( ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| k1_xboole_0 = u1_struct_0(sK0)
| k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)) = k4_relset_1(k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0),u1_lattices(sK0)) ),
inference(resolution,[],[f742,f283]) ).
fof(f746,plain,
( k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)) = k1_relat_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))
| k1_xboole_0 = u1_struct_0(sK0) ),
inference(forward_demodulation,[],[f745,f547]) ).
fof(f748,definition,
( spl29_40
<=> k1_xboole_0 = u1_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl29_40])],[avatar_definition]) ).
fof(f749,plain,
( k1_xboole_0 = u1_struct_0(sK0)
| ~ spl29_40 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f751,definition,
( spl29_41
<=> k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)) = k1_relat_1(u1_lattices(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_41])],[avatar_definition]) ).
fof(f752,plain,
( k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)) = k1_relat_1(u1_lattices(sK0))
| ~ spl29_41 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f753,plain,
( spl29_40
| ~ spl29_8
| spl29_41 ),
inference(avatar_split_clause,[],[f746,f751,f549,f748]) ).
fof(f793,definition,
( spl29_42
<=> l2_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl29_42])],[avatar_definition]) ).
fof(f794,plain,
( ~ l2_lattices(sK0)
| spl29_42 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f846,plain,
( m2_relset_1(u1_lattices(sK0),k1_relat_1(u1_lattices(sK0)),u1_struct_0(sK0))
| ~ spl29_41 ),
inference(superposition,[],[f742,f752]) ).
fof(f849,plain,
( m2_relset_1(u2_lattices(sK0),k1_relat_1(u1_lattices(sK0)),u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| ~ spl29_41 ),
inference(superposition,[],[f317,f752]) ).
fof(f850,plain,
( v1_funct_2(u2_lattices(sK0),k1_relat_1(u1_lattices(sK0)),u1_struct_0(sK0))
| ~ l2_lattices(sK0)
| ~ spl29_41 ),
inference(superposition,[],[f318,f752]) ).
fof(f868,definition,
( spl29_52
<=> v1_funct_2(u2_lattices(sK0),k1_relat_1(u1_lattices(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_52])],[avatar_definition]) ).
fof(f869,plain,
( v1_funct_2(u2_lattices(sK0),k1_relat_1(u1_lattices(sK0)),u1_struct_0(sK0))
| ~ spl29_52 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f870,plain,
( ~ spl29_42
| spl29_52
| ~ spl29_41 ),
inference(avatar_split_clause,[],[f850,f751,f868,f793]) ).
fof(f872,definition,
( spl29_53
<=> m2_relset_1(u2_lattices(sK0),k1_relat_1(u1_lattices(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_53])],[avatar_definition]) ).
fof(f873,plain,
( m2_relset_1(u2_lattices(sK0),k1_relat_1(u1_lattices(sK0)),u1_struct_0(sK0))
| ~ spl29_53 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f874,plain,
( ~ spl29_42
| spl29_53
| ~ spl29_41 ),
inference(avatar_split_clause,[],[f849,f751,f872,f793]) ).
fof(f880,definition,
( spl29_55
<=> m2_relset_1(u1_lattices(sK0),k1_relat_1(u1_lattices(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_55])],[avatar_definition]) ).
fof(f881,plain,
( m2_relset_1(u1_lattices(sK0),k1_relat_1(u1_lattices(sK0)),u1_struct_0(sK0))
| ~ spl29_55 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f883,plain,
( spl29_55
| ~ spl29_41 ),
inference(avatar_split_clause,[],[f846,f751,f880]) ).
fof(f936,plain,
( ~ l3_lattices(sK0)
| spl29_42 ),
inference(resolution,[],[f794,f301]) ).
fof(f938,plain,
( $false
| spl29_42 ),
inference(forward_subsumption_resolution,[],[f936,f251]) ).
fof(f939,plain,
spl29_42,
inference(avatar_contradiction_clause,[],[f938]) ).
fof(f960,plain,
( k1_relat_1(u2_lattices(sK0)) = k4_relset_1(k1_relat_1(u1_lattices(sK0)),u1_struct_0(sK0),u2_lattices(sK0))
| ~ spl29_41 ),
inference(superposition,[],[f598,f752]) ).
fof(f1060,plain,
( ~ v1_funct_2(u2_lattices(sK0),k1_relat_1(u1_lattices(sK0)),u1_struct_0(sK0))
| k1_xboole_0 = u1_struct_0(sK0)
| k1_relat_1(u1_lattices(sK0)) = k4_relset_1(k1_relat_1(u1_lattices(sK0)),u1_struct_0(sK0),u2_lattices(sK0))
| ~ spl29_53 ),
inference(resolution,[],[f873,f283]) ).
fof(f1061,plain,
( k1_xboole_0 = u1_struct_0(sK0)
| k1_relat_1(u1_lattices(sK0)) = k4_relset_1(k1_relat_1(u1_lattices(sK0)),u1_struct_0(sK0),u2_lattices(sK0))
| ~ spl29_52
| ~ spl29_53 ),
inference(forward_subsumption_resolution,[],[f1060,f869]) ).
fof(f1062,plain,
( k1_relat_1(u1_lattices(sK0)) = k1_relat_1(u2_lattices(sK0))
| k1_xboole_0 = u1_struct_0(sK0)
| ~ spl29_41
| ~ spl29_52
| ~ spl29_53 ),
inference(forward_demodulation,[],[f1061,f960]) ).
fof(f1064,definition,
( spl29_66
<=> k1_relat_1(u1_lattices(sK0)) = k1_relat_1(u2_lattices(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_66])],[avatar_definition]) ).
fof(f1065,plain,
( k1_relat_1(u1_lattices(sK0)) = k1_relat_1(u2_lattices(sK0))
| ~ spl29_66 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1066,plain,
( spl29_40
| spl29_66
| ~ spl29_41
| ~ spl29_52
| ~ spl29_53 ),
inference(avatar_split_clause,[],[f1062,f872,f868,f751,f1064,f748]) ).
fof(f1729,plain,
( $false
| ~ spl29_4 ),
inference(unit_resulting_resolution,[],[f304,f251,f252,f253,f650,f520]) ).
fof(f1731,plain,
~ spl29_4,
inference(avatar_contradiction_clause,[],[f1729]) ).
fof(f1800,plain,
( k23_filter_2(sK0,u1_struct_0(sK0)) = g3_lattices(u1_struct_0(sK0),sK1(sK0,u1_struct_0(sK0),k23_filter_2(sK0,u1_struct_0(sK0))),k1_realset1(u1_lattices(sK0),u1_struct_0(sK0)))
| ~ spl29_3
| ~ spl29_6 ),
inference(superposition,[],[f517,f528]) ).
fof(f1809,plain,
( k23_filter_2(sK0,u1_struct_0(sK0)) = g3_lattices(u1_struct_0(sK0),k1_realset1(u2_lattices(sK0),u1_struct_0(sK0)),k1_realset1(u1_lattices(sK0),u1_struct_0(sK0)))
| ~ spl29_3
| ~ spl29_5
| ~ spl29_6 ),
inference(forward_demodulation,[],[f1800,f524]) ).
fof(f1828,definition,
( spl29_159
<=> u1_lattices(sK0) = k1_realset1(u1_lattices(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl29_159])],[avatar_definition]) ).
fof(f1829,plain,
( u1_lattices(sK0) = k1_realset1(u1_lattices(sK0),u1_struct_0(sK0))
| ~ spl29_159 ),
inference(avatar_component_clause,[],[f1828]) ).
fof(f1917,plain,
( k23_filter_2(sK0,u1_struct_0(sK0)) = g3_lattices(u1_struct_0(sK0),k1_realset1(u2_lattices(sK0),u1_struct_0(sK0)),u1_lattices(sK0))
| ~ spl29_3
| ~ spl29_5
| ~ spl29_6
| ~ spl29_159 ),
inference(superposition,[],[f1809,f1829]) ).
fof(f2266,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(resolution,[],[f299,f333]) ).
fof(f2267,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f2266,f302]) ).
fof(f2490,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f313,f265]) ).
fof(f2500,plain,
( v1_relat_1(u1_lattices(sK0))
| ~ spl29_55 ),
inference(resolution,[],[f2490,f881]) ).
fof(f2501,plain,
( v1_relat_1(u2_lattices(sK0))
| ~ spl29_53 ),
inference(resolution,[],[f2490,f873]) ).
fof(f2506,plain,
( ! [X0] :
( ~ r1_tarski(k1_relat_1(u1_lattices(sK0)),X0)
| u1_lattices(sK0) = k7_relat_1(u1_lattices(sK0),X0) )
| ~ spl29_55 ),
inference(resolution,[],[f2500,f441]) ).
fof(f2507,plain,
( ! [X0] : k1_realset1(u1_lattices(sK0),X0) = k7_relat_1(u1_lattices(sK0),k2_zfmisc_1(X0,X0))
| ~ spl29_55 ),
inference(resolution,[],[f2500,f288]) ).
fof(f2508,plain,
( ! [X0] :
( ~ r1_tarski(k1_relat_1(u2_lattices(sK0)),X0)
| u1_lattices(sK0) = k7_relat_1(u1_lattices(sK0),X0) )
| ~ spl29_55
| ~ spl29_66 ),
inference(forward_demodulation,[],[f2506,f1065]) ).
fof(f2510,plain,
( k1_realset1(u1_lattices(sK0),u1_struct_0(sK0)) = k7_relat_1(u1_lattices(sK0),k1_relat_1(u1_lattices(sK0)))
| ~ spl29_41
| ~ spl29_55 ),
inference(superposition,[],[f2507,f752]) ).
fof(f2512,plain,
( k1_realset1(u1_lattices(sK0),u1_struct_0(sK0)) = k7_relat_1(u1_lattices(sK0),k1_relat_1(u2_lattices(sK0)))
| ~ spl29_41
| ~ spl29_55
| ~ spl29_66 ),
inference(forward_demodulation,[],[f2510,f1065]) ).
fof(f2515,plain,
( ! [X0] :
( ~ r1_tarski(k1_relat_1(u2_lattices(sK0)),X0)
| u2_lattices(sK0) = k7_relat_1(u2_lattices(sK0),X0) )
| ~ spl29_53 ),
inference(resolution,[],[f2501,f441]) ).
fof(f2516,plain,
( ! [X0] : k1_realset1(u2_lattices(sK0),X0) = k7_relat_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0))
| ~ spl29_53 ),
inference(resolution,[],[f2501,f288]) ).
fof(f2518,plain,
( k1_realset1(u2_lattices(sK0),u1_struct_0(sK0)) = k7_relat_1(u2_lattices(sK0),k1_relat_1(u1_lattices(sK0)))
| ~ spl29_41
| ~ spl29_53 ),
inference(superposition,[],[f2516,f752]) ).
fof(f2524,plain,
( k1_realset1(u2_lattices(sK0),u1_struct_0(sK0)) = k7_relat_1(u2_lattices(sK0),k1_relat_1(u2_lattices(sK0)))
| ~ spl29_41
| ~ spl29_53
| ~ spl29_66 ),
inference(forward_demodulation,[],[f2518,f1065]) ).
fof(f2525,plain,
( u2_lattices(sK0) = k7_relat_1(u2_lattices(sK0),k1_relat_1(u2_lattices(sK0)))
| ~ spl29_53 ),
inference(resolution,[],[f2515,f430]) ).
fof(f2529,plain,
( u2_lattices(sK0) = k1_realset1(u2_lattices(sK0),u1_struct_0(sK0))
| ~ spl29_41
| ~ spl29_53
| ~ spl29_66 ),
inference(superposition,[],[f2525,f2524]) ).
fof(f2534,plain,
( u1_lattices(sK0) = k7_relat_1(u1_lattices(sK0),k1_relat_1(u2_lattices(sK0)))
| ~ spl29_55
| ~ spl29_66 ),
inference(resolution,[],[f2508,f430]) ).
fof(f2540,plain,
( g3_lattices(u1_struct_0(sK0),u2_lattices(sK0),u1_lattices(sK0)) = k23_filter_2(sK0,u1_struct_0(sK0))
| ~ spl29_3
| ~ spl29_5
| ~ spl29_6
| ~ spl29_41
| ~ spl29_53
| ~ spl29_66
| ~ spl29_159 ),
inference(superposition,[],[f1917,f2529]) ).
fof(f2744,plain,
( u1_lattices(sK0) = k1_realset1(u1_lattices(sK0),u1_struct_0(sK0))
| ~ spl29_41
| ~ spl29_55
| ~ spl29_66 ),
inference(superposition,[],[f2534,f2512]) ).
fof(f2745,plain,
( spl29_159
| ~ spl29_41
| ~ spl29_55
| ~ spl29_66 ),
inference(avatar_split_clause,[],[f2744,f1064,f880,f751,f1828]) ).
fof(f2879,plain,
( k23_filter_2(sK0,k1_filter_2(sK0)) != k23_filter_2(sK0,u1_struct_0(sK0))
| spl29_1
| ~ spl29_3
| ~ spl29_5
| ~ spl29_6
| ~ spl29_41
| ~ spl29_53
| ~ spl29_66
| ~ spl29_159 ),
inference(superposition,[],[f472,f2540]) ).
fof(f2901,plain,
( k23_filter_2(sK0,u1_struct_0(sK0)) != k23_filter_2(sK0,u1_struct_0(sK0))
| spl29_1
| ~ spl29_3
| ~ spl29_5
| ~ spl29_6
| ~ spl29_41
| ~ spl29_53
| ~ spl29_66
| ~ spl29_159 ),
inference(forward_demodulation,[],[f2879,f483]) ).
fof(f2902,plain,
( $false
| spl29_1
| ~ spl29_3
| ~ spl29_5
| ~ spl29_6
| ~ spl29_41
| ~ spl29_53
| ~ spl29_66
| ~ spl29_159 ),
inference(trivial_inequality_removal,[],[f2901]) ).
fof(f2903,plain,
( spl29_1
| ~ spl29_3
| ~ spl29_5
| ~ spl29_6
| ~ spl29_41
| ~ spl29_53
| ~ spl29_66
| ~ spl29_159 ),
inference(avatar_contradiction_clause,[],[f2902]) ).
fof(f2906,plain,
( k23_filter_2(sK0,k17_filter_2(sK0)) != k23_filter_2(sK0,u1_struct_0(sK0))
| spl29_2
| ~ spl29_3
| ~ spl29_5
| ~ spl29_6
| ~ spl29_41
| ~ spl29_53
| ~ spl29_66
| ~ spl29_159 ),
inference(forward_demodulation,[],[f475,f2540]) ).
fof(f2908,plain,
( k23_filter_2(sK0,u1_struct_0(sK0)) != k23_filter_2(sK0,u1_struct_0(sK0))
| spl29_2
| ~ spl29_3
| ~ spl29_5
| ~ spl29_6
| ~ spl29_41
| ~ spl29_53
| ~ spl29_66
| ~ spl29_159 ),
inference(forward_demodulation,[],[f2906,f486]) ).
fof(f2909,plain,
( $false
| spl29_2
| ~ spl29_3
| ~ spl29_5
| ~ spl29_6
| ~ spl29_41
| ~ spl29_53
| ~ spl29_66
| ~ spl29_159 ),
inference(trivial_inequality_removal,[],[f2908]) ).
fof(f2910,plain,
( spl29_2
| ~ spl29_3
| ~ spl29_5
| ~ spl29_6
| ~ spl29_41
| ~ spl29_53
| ~ spl29_66
| ~ spl29_159 ),
inference(avatar_contradiction_clause,[],[f2909]) ).
fof(f3651,plain,
( ~ v1_xboole_0(k1_xboole_0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| ~ spl29_40 ),
inference(superposition,[],[f2267,f749]) ).
fof(f3652,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| ~ spl29_40 ),
inference(forward_subsumption_resolution,[],[f3651,f335]) ).
fof(f3706,plain,
( ~ l3_lattices(sK0)
| ~ spl29_40 ),
inference(forward_subsumption_resolution,[],[f3652,f253]) ).
fof(f3728,plain,
( $false
| ~ spl29_40 ),
inference(forward_subsumption_resolution,[],[f3706,f251]) ).
fof(f3729,plain,
~ spl29_40,
inference(avatar_contradiction_clause,[],[f3728]) ).
cnf(s1,plain,
( ~ spl29_1
| ~ spl29_2 ),
inference(sat_conversion,[],[f476]) ).
cnf(s2,plain,
( spl29_3
| spl29_4 ),
inference(sat_conversion,[],[f521]) ).
cnf(s3,plain,
( spl29_4
| spl29_5 ),
inference(sat_conversion,[],[f525]) ).
cnf(s4,plain,
( spl29_4
| spl29_6 ),
inference(sat_conversion,[],[f529]) ).
cnf(s12,plain,
spl29_8,
inference(sat_conversion,[],[f581]) ).
cnf(s38,plain,
( ~ spl29_8
| spl29_40
| spl29_41 ),
inference(sat_conversion,[],[f753]) ).
cnf(s48,plain,
( ~ spl29_41
| ~ spl29_42
| spl29_52 ),
inference(sat_conversion,[],[f870]) ).
cnf(s49,plain,
( ~ spl29_41
| ~ spl29_42
| spl29_53 ),
inference(sat_conversion,[],[f874]) ).
cnf(s52,plain,
( ~ spl29_41
| spl29_55 ),
inference(sat_conversion,[],[f883]) ).
cnf(s60,plain,
spl29_42,
inference(sat_conversion,[],[f939]) ).
cnf(s78,plain,
( spl29_40
| ~ spl29_41
| ~ spl29_52
| ~ spl29_53
| spl29_66 ),
inference(sat_conversion,[],[f1066]) ).
cnf(s154,plain,
~ spl29_4,
inference(sat_conversion,[],[f1731]) ).
cnf(s213,plain,
( ~ spl29_41
| ~ spl29_55
| ~ spl29_66
| spl29_159 ),
inference(sat_conversion,[],[f2745]) ).
cnf(s219,plain,
( spl29_1
| ~ spl29_3
| ~ spl29_5
| ~ spl29_6
| ~ spl29_41
| ~ spl29_53
| ~ spl29_66
| ~ spl29_159 ),
inference(sat_conversion,[],[f2903]) ).
cnf(s220,plain,
( spl29_2
| ~ spl29_3
| ~ spl29_5
| ~ spl29_6
| ~ spl29_41
| ~ spl29_53
| ~ spl29_66
| ~ spl29_159 ),
inference(sat_conversion,[],[f2910]) ).
cnf(s281,plain,
~ spl29_40,
inference(sat_conversion,[],[f3729]) ).
cnf(s287,plain,
( ~ spl29_41
| ~ spl29_52
| ~ spl29_53
| spl29_66 ),
inference(rat,[],[s78,s281]) ).
cnf(s294,plain,
( ~ spl29_41
| spl29_53 ),
inference(rat,[],[s49,s60]) ).
cnf(s295,plain,
( ~ spl29_41
| spl29_52 ),
inference(rat,[],[s48,s60]) ).
cnf(s296,plain,
( ~ spl29_8
| spl29_41 ),
inference(rat,[],[s38,s281]) ).
cnf(s302,plain,
spl29_41,
inference(rat,[],[s296,s12]) ).
cnf(s303,plain,
spl29_55,
inference(rat,[],[s52,s302]) ).
cnf(s305,plain,
spl29_53,
inference(rat,[],[s294,s302]) ).
cnf(s306,plain,
spl29_52,
inference(rat,[],[s295,s302]) ).
cnf(s309,plain,
spl29_66,
inference(rat,[],[s287,s305,s302,s306]) ).
cnf(s316,plain,
spl29_159,
inference(rat,[],[s213,s303,s302,s309]) ).
cnf(s337,plain,
spl29_6,
inference(rat,[],[s4,s154]) ).
cnf(s348,plain,
spl29_5,
inference(rat,[],[s3,s154]) ).
cnf(s362,plain,
spl29_3,
inference(rat,[],[s2,s154]) ).
cnf(s363,plain,
spl29_2,
inference(rat,[],[s220,s316,s309,s305,s302,s337,s348,s362]) ).
cnf(s364,plain,
spl29_1,
inference(rat,[],[s219,s316,s309,s305,s302,s337,s348,s362]) ).
cnf(s369,plain,
$false,
inference(rat,[],[s1,s363,s364]) ).
fof(f3742,plain,
$false,
inference(avatar_sat_refutation,[],[s369]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT332+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 14:48:16 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.09/2.15 % (3638301)Detected formulas, will run a generic FOF schedule.
% 8.09/2.15 % (3638309)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4261393296:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.09/2.15 % (3638309)Refutation not found, incomplete strategy
% 8.09/2.15 % (3638309)------------------------------
% 8.09/2.15 % (3638309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.15 % (3638309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.15 % (3638309)CaDiCaL version: 2.1.3
% 8.09/2.15 % (3638309)Termination reason: Refutation not found, incomplete strategy
% 8.09/2.15 % (3638309)Time elapsed: 0.001 s
% 8.09/2.15 % (3638309)Peak memory usage: 88 MB
% 8.09/2.15 % (3638309)Instructions burned: 1 (million)
% 8.09/2.15 % (3638307)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=1176713603:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.09/2.15 % (3638308)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=2634150403:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.09/2.15 % (3638306)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=3813859969:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.09/2.15 % (3638311)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3019688855:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.09/2.15 % (3638310)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3018598915:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.09/2.15 % (3638312)dis-21_1_sil=8000:lcm=predicate:random_seed=1785871499: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)
% 8.09/2.15 % (3638310)Instruction limit reached!
% 8.09/2.15 % (3638310)------------------------------
% 8.09/2.15 % (3638310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.15 % (3638310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.15 % (3638310)CaDiCaL version: 2.1.3
% 8.09/2.15 % (3638310)Termination reason: Instruction limit
% 8.09/2.15 % (3638310)Termination phase: Saturation
% 8.09/2.15 % (3638310)Time elapsed: 0.066 s
% 8.09/2.15 % (3638310)Peak memory usage: 88 MB
% 8.09/2.15 % (3638310)Instructions burned: 120 (million)
% 8.09/2.15 % (3638312)Instruction limit reached!
% 8.09/2.15 % (3638312)------------------------------
% 8.09/2.15 % (3638312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.15 % (3638312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.15 % (3638312)CaDiCaL version: 2.1.3
% 8.09/2.15 % (3638312)Termination reason: Instruction limit
% 8.09/2.15 % (3638312)Termination phase: Saturation
% 8.09/2.15 % (3638312)Time elapsed: 0.069 s
% 8.09/2.15 % (3638312)Peak memory usage: 92 MB
% 8.09/2.15 % (3638312)Instructions burned: 130 (million)
% 8.09/2.15 % (3638309)------------------------------
% 8.09/2.15 % (3638309)------------------------------
% 8.09/2.15 % (3638311)Instruction limit reached!
% 8.09/2.15 % (3638311)------------------------------
% 8.09/2.15 % (3638311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.15 % (3638311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.15 % (3638311)CaDiCaL version: 2.1.3
% 8.09/2.15 % (3638311)Termination reason: Instruction limit
% 8.09/2.15 % (3638311)Termination phase: Saturation
% 8.09/2.15 % (3638311)Time elapsed: 0.105 s
% 8.09/2.15 % (3638311)Peak memory usage: 90 MB
% 8.09/2.15 % (3638311)Instructions burned: 139 (million)
% 8.09/2.15 % (3638322)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3986747218:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.09/2.15 % (3638320)lrs+10_1_sil=8000:sp=occurrence:random_seed=4273243995:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.09/2.15 % (3638321)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1396087617:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.09/2.15 % (3638321)Refutation not found, incomplete strategy
% 8.09/2.15 % (3638321)------------------------------
% 8.09/2.15 % (3638321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.15 % (3638321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.15 % (3638321)CaDiCaL version: 2.1.3
% 8.09/2.15 % (3638321)Termination reason: Refutation not found, incomplete strategy
% 8.09/2.15 % (3638321)Time elapsed: 0.002 s
% 8.09/2.15 % (3638321)Peak memory usage: 89 MB
% 8.09/2.15 % (3638321)Instructions burned: 2 (million)
% 8.09/2.15 % (3638323)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=2027879834:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.09/2.15 % (3638322)Instruction limit reached!
% 8.09/2.15 % (3638322)------------------------------
% 8.09/2.15 % (3638322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.15 % (3638322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.15 % (3638322)CaDiCaL version: 2.1.3
% 8.09/2.15 % (3638322)Termination reason: Instruction limit
% 8.09/2.15 % (3638322)Termination phase: Saturation
% 8.09/2.15 % (3638322)Time elapsed: 0.113 s
% 8.09/2.15 % (3638322)Peak memory usage: 92 MB
% 8.09/2.15 % (3638322)Instructions burned: 326 (million)
% 8.09/2.15 % (3638320)Instruction limit reached!
% 8.09/2.15 % (3638320)------------------------------
% 8.09/2.15 % (3638320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.15 % (3638320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.15 % (3638320)CaDiCaL version: 2.1.3
% 8.09/2.15 % (3638320)Termination reason: Instruction limit
% 8.09/2.15 % (3638320)Termination phase: Saturation
% 8.09/2.15 % (3638320)Time elapsed: 0.185 s
% 8.09/2.15 % (3638320)Peak memory usage: 93 MB
% 8.09/2.15 % (3638320)Instructions burned: 286 (million)
% 8.09/2.15 % (3638328)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=599837584:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.09/2.15 % (3638323)Instruction limit reached!
% 8.09/2.15 % (3638323)------------------------------
% 8.09/2.15 % (3638323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.15 % (3638323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.15 % (3638323)CaDiCaL version: 2.1.3
% 8.09/2.15 % (3638323)Termination reason: Instruction limit
% 8.09/2.15 % (3638323)Termination phase: Saturation
% 8.09/2.15 % (3638323)Time elapsed: 0.147 s
% 8.09/2.15 % (3638323)Peak memory usage: 94 MB
% 8.09/2.15 % (3638323)Instructions burned: 248 (million)
% 8.09/2.15 % (3638328)Refutation not found, incomplete strategy
% 8.09/2.15 % (3638328)------------------------------
% 8.09/2.15 % (3638328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.15 % (3638328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.15 % (3638328)CaDiCaL version: 2.1.3
% 8.09/2.15 % (3638328)Termination reason: Refutation not found, incomplete strategy
% 8.09/2.15 % (3638328)Time elapsed: 0.003 s
% 8.09/2.15 % (3638328)Peak memory usage: 88 MB
% 8.09/2.15 % (3638328)Instructions burned: 8 (million)
% 8.09/2.15 % (3638321)------------------------------
% 8.09/2.15 % (3638321)------------------------------
% 8.09/2.15 % (3638329)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=578822984:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.09/2.15 % (3638331)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1289855921:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.09/2.16 % (3638328)------------------------------
% 8.09/2.16 % (3638328)------------------------------
% 8.09/2.16 % (3638332)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1656027172:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.09/2.16 % (3638331)Instruction limit reached!
% 8.09/2.16 % (3638331)------------------------------
% 8.09/2.16 % (3638331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.16 % (3638331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.16 % (3638331)CaDiCaL version: 2.1.3
% 8.09/2.16 % (3638331)Termination reason: Instruction limit
% 8.09/2.16 % (3638331)Termination phase: Saturation
% 8.09/2.16 % (3638331)Time elapsed: 0.077 s
% 8.09/2.16 % (3638331)Peak memory usage: 91 MB
% 8.09/2.16 % (3638331)Instructions burned: 113 (million)
% 8.09/2.16 % (3638332)Instruction limit reached!
% 8.09/2.16 % (3638332)------------------------------
% 8.09/2.16 % (3638332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.16 % (3638332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.16 % (3638332)CaDiCaL version: 2.1.3
% 8.09/2.16 % (3638332)Termination reason: Instruction limit
% 8.09/2.16 % (3638332)Termination phase: Saturation
% 8.09/2.16 % (3638332)Time elapsed: 0.063 s
% 8.09/2.16 % (3638332)Peak memory usage: 89 MB
% 8.09/2.16 % (3638332)Instructions burned: 128 (million)
% 8.09/2.16 % (3638335)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=159957442:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 8.09/2.16 % (3638335)Refutation not found, incomplete strategy
% 8.09/2.16 % (3638335)------------------------------
% 8.09/2.16 % (3638335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.16 % (3638335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.16 % (3638335)CaDiCaL version: 2.1.3
% 8.09/2.16 % (3638335)Termination reason: Refutation not found, incomplete strategy
% 8.09/2.16 % (3638335)Time elapsed: 0.002 s
% 8.09/2.16 % (3638335)Peak memory usage: 89 MB
% 8.09/2.16 % (3638335)Instructions burned: 2 (million)
% 8.09/2.16 % (3638337)lrs+10_1_sil=8000:sp=occurrence:random_seed=1473939686:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.09/2.16 % (3638338)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3411739325:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.09/2.16 % (3638338)Refutation not found, incomplete strategy
% 8.09/2.16 % (3638338)------------------------------
% 8.09/2.16 % (3638338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.16 % (3638338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.16 % (3638338)CaDiCaL version: 2.1.3
% 8.09/2.16 % (3638338)Termination reason: Refutation not found, incomplete strategy
% 8.09/2.16 % (3638338)Time elapsed: 0.006 s
% 8.09/2.16 % (3638338)Peak memory usage: 88 MB
% 8.09/2.16 % (3638338)Instructions burned: 9 (million)
% 8.09/2.16 % (3638307)First to succeed.
% 8.09/2.16 % (3638307)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3638301"
% 8.09/2.16 % (3638335)------------------------------
% 8.09/2.16 % (3638335)------------------------------
% 8.09/2.16 % (3638308)Also succeeded, but the first one will report.
% 8.09/2.16 % (3638306)Also succeeded, but the first one will report.
% 8.09/2.16 % (3638338)------------------------------
% 8.09/2.16 % (3638338)------------------------------
% 8.09/2.16 % (3638342)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1904823061:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.09/2.16 % (3638307)Refutation found. Thanks to Tanya!
% 8.09/2.16 % SZS status Theorem for theBenchmark
% 8.09/2.16 % SZS output start Proof for theBenchmark
% See solution above
% 9.72/2.25 % (3638307)------------------------------
% 9.72/2.25 % (3638307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.72/2.25 % (3638307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.72/2.25 % (3638307)CaDiCaL version: 2.1.3
% 9.72/2.25 % (3638307)Termination reason: Refutation
% 9.72/2.25 % (3638307)Time elapsed: 0.887 s
% 9.72/2.25 % (3638307)Peak memory usage: 134 MB
% 9.72/2.25 % (3638307)Instructions burned: 1326 (million)
% 9.72/2.25 % (3638307)------------------------------
% 9.72/2.25 % (3638307)------------------------------
% 9.72/2.25 % (3638301)Success in time 1.314 s
% 9.72/2.25 % Vampire exiting
%------------------------------------------------------------------------------