%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT315+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 : 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 11:46:50 AM UTC 2026
% Result : Theorem 9.22s 3.04s
% Output : Refutation 15.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 53
% Syntax : Number of formulae : 435 ( 90 unt; 23 def)
% Number of atoms : 1374 ( 220 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1582 ( 643 ~; 740 |; 130 &)
% ( 27 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 47 ( 45 usr; 24 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 4 con; 0-3 aty)
% Number of variables : 347 ( 0 sgn 341 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),k19_filter_2(X0,X1),X2)))
& r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,k19_filter_2(X0,X2)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),k19_filter_2(X0,X1),X2)))
& r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,k19_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/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f10,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k4_subset_1(X0,X1,X2) = k4_subset_1(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k4_subset_1) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',d7_filter_2) ).
fof(f17,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m2_filter_2(k19_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k19_filter_2) ).
fof(f18,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_subset_1) ).
fof(f26,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_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(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(f37,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/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f39,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(f41,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(f55,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(f57,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f60,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_xboole_0) ).
fof(f63,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(k2_xboole_0(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_xboole_0) ).
fof(f67,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f68,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/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f85,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> k3_filter_2(X0,X1) = k3_filter_0(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_filter_2) ).
fof(f86,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
fof(f88,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f89,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(f96,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
=> ( k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) = k19_filter_2(X0,X1)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_filter_2) ).
fof(f98,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),k3_filter_0(X0,X1),X2))
& k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,k3_filter_0(X0,X2))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_filter_0) ).
fof(f101,axiom,
! [X0] :
( v1_xboole_0(X0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f106,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),k19_filter_2(X0,X1),X2)))
| ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,k19_filter_2(X0,X2)))) )
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v1_xboole_0(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,[],[f2]) ).
fof(f107,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),k19_filter_2(X0,X1),X2)))
| ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,k19_filter_2(X0,X2)))) )
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f106]) ).
fof(f108,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(f109,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f108]) ).
fof(f119,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k4_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f120,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k4_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f119]) ).
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(f130,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f17]) ).
fof(f131,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(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(f137,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f138,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f137]) ).
fof(f139,plain,
! [X0,X1] :
( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f26]) ).
fof(f140,plain,
! [X0,X1] :
( m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f139]) ).
fof(f143,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f145,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f150,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(f151,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,[],[f150]) ).
fof(f152,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,[],[f37]) ).
fof(f153,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,[],[f152]) ).
fof(f155,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,[],[f39]) ).
fof(f156,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,[],[f41]) ).
fof(f169,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f170,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f169]) ).
fof(f175,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_xboole_0(X0,X1))
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f180,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_xboole_0(X1,X0))
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f187,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f188,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,[],[f187]) ).
fof(f189,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,[],[f68]) ).
fof(f190,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,[],[f189]) ).
fof(f200,plain,
! [X0,X1] :
( k3_filter_2(X0,X1) = k3_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f85]) ).
fof(f201,plain,
! [X0,X1] :
( k3_filter_2(X0,X1) = k3_filter_0(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f200]) ).
fof(f202,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f86]) ).
fof(f203,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f202]) ).
fof(f206,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f89]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f206]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) = k19_filter_2(X0,X1)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2)) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(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,[],[f96]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1)) = k19_filter_2(X0,X1)
& k3_filter_2(X0,X1) = k19_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
& k3_filter_2(X0,k8_filter_2(X0,X2)) = k19_filter_2(k1_lattice2(X0),X2)
& k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2)) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f215]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),k3_filter_0(X0,X1),X2))
& k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,k3_filter_0(X0,X2))) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v1_xboole_0(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,[],[f98]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),k3_filter_0(X0,X1),X2))
& k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,k3_filter_0(X0,X2))) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f217]) ).
fof(f222,plain,
! [X0] :
( X0 = k1_xboole_0
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f225,plain,
( ( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2)))
| ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2)))) )
& ~ v1_xboole_0(sK2)
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v1_xboole_0(sK1)
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v3_struct_0(sK0)
& v10_lattices(sK0)
& l3_lattices(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f107]) ).
fof(f251,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f252,plain,
! [X0,X1,X2] :
( ( ( r1_filter_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_filter_2(X0,X1,X2) ) )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f207]) ).
fof(f254,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f225]) ).
fof(f255,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f225]) ).
fof(f256,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f225]) ).
fof(f257,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f225]) ).
fof(f258,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f225]) ).
fof(f259,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f225]) ).
fof(f260,plain,
~ v1_xboole_0(sK2),
inference(cnf_transformation,[],[f225]) ).
fof(f261,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2)))
| ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2)))) ),
inference(cnf_transformation,[],[f225]) ).
fof(f262,plain,
! [X0] :
( ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f278,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_subset_1(X0,X1,X2) = k4_subset_1(X0,X2,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f280,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f281,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k7_filter_2(X0,X1) = X1 ),
inference(cnf_transformation,[],[f123]) ).
fof(f282,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| k8_filter_2(X0,X1) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f286,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m2_filter_2(k19_filter_2(X0,X1),X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f131]) ).
fof(f287,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f288,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f291,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f138]) ).
fof(f292,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k7_filter_2(X0,X1),k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| ~ l3_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f140]) ).
fof(f294,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f296,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f297,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f302,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,[],[f151]) ).
fof(f303,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f304,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f306,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,[],[f155]) ).
fof(f307,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,[],[f155]) ).
fof(f308,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f309,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,[],[f156]) ).
fof(f310,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,[],[f156]) ).
fof(f311,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f326,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f328,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f57]) ).
fof(f335,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_xboole_0(X0,X1))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f343,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_xboole_0(X1,X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f355,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f363,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f366,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v1_funct_1(X2)
| 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)
| X0 = X3
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f405,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k3_filter_0(X0,X1) = k3_filter_2(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f201]) ).
fof(f406,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
inference(cnf_transformation,[],[f203]) ).
fof(f409,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f251]) ).
fof(f412,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| X1 != X2
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f252]) ).
fof(f419,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2)
| k3_filter_2(k1_lattice2(X0),X2) = k19_filter_2(X0,k8_filter_2(X0,X2))
| v1_xboole_0(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,[],[f216]) ).
fof(f422,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2)
| k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
| v1_xboole_0(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,[],[f216]) ).
fof(f425,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,k3_filter_0(X0,X2))) ),
inference(cnf_transformation,[],[f218]) ).
fof(f429,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f222]) ).
fof(f432,plain,
! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(equality_resolution,[],[f412]) ).
fof(f433,plain,
! [X2,X0] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| r1_filter_2(X0,X2,X2) ),
inference(duplicate_literal_removal,[],[f432]) ).
fof(f435,definition,
( spl27_1
<=> r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2)))) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f436,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2))))
| spl27_1 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f438,definition,
( spl27_2
<=> r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2))) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f439,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2)))
| spl27_2 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f440,plain,
( ~ spl27_1
| ~ spl27_2 ),
inference(avatar_split_clause,[],[f261,f438,f435]) ).
fof(f441,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| k7_filter_2(sK0,X0) = X0 ),
inference(resolution,[],[f281,f254]) ).
fof(f442,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| k7_filter_2(sK0,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f441,f256]) ).
fof(f443,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k7_filter_2(sK0,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f442,f255]) ).
fof(f447,plain,
sK2 = k7_filter_2(sK0,sK2),
inference(resolution,[],[f443,f259]) ).
fof(f448,plain,
sK1 = k7_filter_2(sK0,sK1),
inference(resolution,[],[f443,f257]) ).
fof(f462,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| m2_filter_2(k19_filter_2(sK0,X0),sK0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f286,f254]) ).
fof(f463,plain,
! [X0] :
( ~ v10_lattices(sK0)
| m2_filter_2(k19_filter_2(sK0,X0),sK0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f462,f256]) ).
fof(f464,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0)
| m2_filter_2(k19_filter_2(sK0,X0),sK0) ),
inference(forward_subsumption_resolution,[],[f463,f255]) ).
fof(f465,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k4_subset_1(u1_struct_0(sK0),X0,sK2) = k2_xboole_0(X0,sK2) ),
inference(resolution,[],[f406,f259]) ).
fof(f466,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k4_subset_1(u1_struct_0(sK0),X0,sK1) = k2_xboole_0(X0,sK1) ),
inference(resolution,[],[f406,f257]) ).
fof(f468,plain,
k4_subset_1(u1_struct_0(sK0),sK1,sK2) = k2_xboole_0(sK1,sK2),
inference(resolution,[],[f465,f257]) ).
fof(f470,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2))))
| spl27_1 ),
inference(superposition,[],[f436,f468]) ).
fof(f471,plain,
k4_subset_1(u1_struct_0(sK0),sK2,sK1) = k2_xboole_0(sK2,sK1),
inference(resolution,[],[f466,f259]) ).
fof(f474,plain,
k2_xboole_0(sK1,sK2) = k4_subset_1(u1_struct_0(sK0),sK2,sK1),
inference(forward_demodulation,[],[f471,f278]) ).
fof(f481,definition,
( spl27_4
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl27_4])],[avatar_definition]) ).
fof(f482,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl27_4 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f488,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k4_subset_1(u1_struct_0(sK0),X0,sK2) = k4_subset_1(u1_struct_0(sK0),sK2,X0) ),
inference(resolution,[],[f279,f259]) ).
fof(f489,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k4_subset_1(u1_struct_0(sK0),X0,sK1) = k4_subset_1(u1_struct_0(sK0),sK1,X0) ),
inference(resolution,[],[f279,f257]) ).
fof(f496,plain,
l3_lattices(k1_lattice2(sK0)),
inference(resolution,[],[f287,f254]) ).
fof(f497,plain,
( v1_xboole_0(sK2)
| m2_filter_2(k19_filter_2(sK0,sK2),sK0) ),
inference(resolution,[],[f464,f259]) ).
fof(f498,plain,
( v1_xboole_0(sK1)
| m2_filter_2(k19_filter_2(sK0,sK1),sK0) ),
inference(resolution,[],[f464,f257]) ).
fof(f499,plain,
m2_filter_2(k19_filter_2(sK0,sK1),sK0),
inference(forward_subsumption_resolution,[],[f498,f258]) ).
fof(f500,plain,
m2_filter_2(k19_filter_2(sK0,sK2),sK0),
inference(forward_subsumption_resolution,[],[f497,f260]) ).
fof(f545,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| k3_filter_2(k1_lattice2(sK0),X0) = k3_filter_0(k1_lattice2(sK0),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) ),
inference(resolution,[],[f496,f405]) ).
fof(f546,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v3_struct_0(k1_lattice2(sK0))
| ~ v10_lattices(k1_lattice2(sK0))
| k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X1,X0)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X1,k3_filter_0(k1_lattice2(sK0),X0))) ),
inference(resolution,[],[f496,f425]) ).
fof(f549,definition,
( spl27_6
<=> v10_lattices(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl27_6])],[avatar_definition]) ).
fof(f550,plain,
( ~ v10_lattices(k1_lattice2(sK0))
| spl27_6 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f552,definition,
( spl27_7
<=> v3_struct_0(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl27_7])],[avatar_definition]) ).
fof(f553,plain,
( v3_struct_0(k1_lattice2(sK0))
| ~ spl27_7 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f559,definition,
( spl27_9
<=> ! [X0,X1] :
( v1_xboole_0(X0)
| k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X1,X0)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X1,k3_filter_0(k1_lattice2(sK0),X0)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) ) ),
introduced(definition,[new_symbols(definition,[spl27_9])],[avatar_definition]) ).
fof(f560,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X1,X0)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X1,k3_filter_0(k1_lattice2(sK0),X0)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X0) )
| ~ spl27_9 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f561,plain,
( ~ spl27_6
| spl27_7
| spl27_9 ),
inference(avatar_split_clause,[],[f546,f559,f552,f549]) ).
fof(f563,definition,
( spl27_10
<=> ! [X0] :
( k3_filter_2(k1_lattice2(sK0),X0) = k3_filter_0(k1_lattice2(sK0),X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl27_10])],[avatar_definition]) ).
fof(f564,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| k3_filter_2(k1_lattice2(sK0),X0) = k3_filter_0(k1_lattice2(sK0),X0)
| v1_xboole_0(X0) )
| ~ spl27_10 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f565,plain,
( spl27_10
| ~ spl27_6
| spl27_7 ),
inference(avatar_split_clause,[],[f545,f552,f549,f563]) ).
fof(f578,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(k4_subset_1(u1_struct_0(sK0),X0,sK2),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f291,f259]) ).
fof(f579,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(k4_subset_1(u1_struct_0(sK0),X0,sK1),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f291,f257]) ).
fof(f586,plain,
m1_subset_1(k4_subset_1(u1_struct_0(sK0),sK2,sK1),k1_zfmisc_1(u1_struct_0(sK0))),
inference(resolution,[],[f579,f259]) ).
fof(f589,plain,
m1_subset_1(k2_xboole_0(sK1,sK2),k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_demodulation,[],[f586,f474]) ).
fof(f590,plain,
k2_xboole_0(sK1,sK2) = k7_filter_2(sK0,k2_xboole_0(sK1,sK2)),
inference(resolution,[],[f589,f443]) ).
fof(f595,plain,
( v1_xboole_0(k2_xboole_0(sK1,sK2))
| m2_filter_2(k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),sK0) ),
inference(resolution,[],[f589,f464]) ).
fof(f613,definition,
( spl27_15
<=> v1_xboole_0(k2_xboole_0(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl27_15])],[avatar_definition]) ).
fof(f614,plain,
( v1_xboole_0(k2_xboole_0(sK1,sK2))
| ~ spl27_15 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f631,definition,
( spl27_19
<=> m2_filter_2(k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),sK0) ),
introduced(definition,[new_symbols(definition,[spl27_19])],[avatar_definition]) ).
fof(f632,plain,
( m2_filter_2(k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),sK0)
| ~ spl27_19 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f633,plain,
( spl27_19
| spl27_15 ),
inference(avatar_split_clause,[],[f595,f613,f631]) ).
fof(f656,plain,
! [X0] :
( v3_struct_0(sK0)
| m1_subset_1(k7_filter_2(sK0,X0),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f292,f255]) ).
fof(f657,plain,
! [X0] :
( m1_subset_1(k7_filter_2(sK0,X0),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| ~ l3_lattices(sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f656,f256]) ).
fof(f658,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(k7_filter_2(sK0,X0),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) ),
inference(forward_subsumption_resolution,[],[f657,f254]) ).
fof(f659,plain,
m1_subset_1(k7_filter_2(sK0,sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))),
inference(resolution,[],[f658,f259]) ).
fof(f660,plain,
m1_subset_1(k7_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))),
inference(resolution,[],[f658,f257]) ).
fof(f661,plain,
m1_subset_1(k7_filter_2(sK0,k2_xboole_0(sK1,sK2)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))),
inference(resolution,[],[f658,f589]) ).
fof(f662,plain,
m1_subset_1(k2_xboole_0(sK1,sK2),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))),
inference(forward_demodulation,[],[f661,f590]) ).
fof(f663,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))),
inference(forward_demodulation,[],[f660,f448]) ).
fof(f664,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))),
inference(forward_demodulation,[],[f659,f447]) ).
fof(f665,plain,
! [X0] :
( v1_xboole_0(sK2)
| k3_filter_2(k1_lattice2(sK0),sK2) = k19_filter_2(sK0,k8_filter_2(sK0,sK2))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f664,f419]) ).
fof(f667,plain,
( sK2 = k8_filter_2(sK0,sK2)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f664,f282]) ).
fof(f669,plain,
! [X0] :
( v1_xboole_0(sK2)
| k19_filter_2(sK0,X0) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f664,f422]) ).
fof(f681,plain,
! [X0] :
( k19_filter_2(sK0,X0) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f669,f260]) ).
fof(f683,plain,
( sK2 = k8_filter_2(sK0,sK2)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f667,f256]) ).
fof(f685,plain,
! [X0] :
( k3_filter_2(k1_lattice2(sK0),sK2) = k19_filter_2(sK0,k8_filter_2(sK0,sK2))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f665,f260]) ).
fof(f686,plain,
! [X0] :
( k19_filter_2(sK0,X0) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f681,f256]) ).
fof(f688,plain,
( sK2 = k8_filter_2(sK0,sK2)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f683,f255]) ).
fof(f690,plain,
! [X0] :
( k3_filter_2(k1_lattice2(sK0),sK2) = k19_filter_2(sK0,k8_filter_2(sK0,sK2))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f685,f256]) ).
fof(f691,plain,
! [X0] :
( k19_filter_2(sK0,X0) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f686,f255]) ).
fof(f693,plain,
sK2 = k8_filter_2(sK0,sK2),
inference(forward_subsumption_resolution,[],[f688,f254]) ).
fof(f695,plain,
! [X0] :
( k3_filter_2(k1_lattice2(sK0),sK2) = k19_filter_2(sK0,k8_filter_2(sK0,sK2))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f690,f255]) ).
fof(f696,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0)
| k19_filter_2(sK0,X0) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f691,f254]) ).
fof(f699,plain,
! [X0] :
( k3_filter_2(k1_lattice2(sK0),sK2) = k19_filter_2(sK0,k8_filter_2(sK0,sK2))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f695,f254]) ).
fof(f701,plain,
! [X0] :
( k19_filter_2(sK0,sK2) = k3_filter_2(k1_lattice2(sK0),sK2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_demodulation,[],[f699,f693]) ).
fof(f704,definition,
( spl27_26
<=> ! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl27_26])],[avatar_definition]) ).
fof(f705,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(X0) )
| ~ spl27_26 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f707,definition,
( spl27_27
<=> k19_filter_2(sK0,sK2) = k3_filter_2(k1_lattice2(sK0),sK2) ),
introduced(definition,[new_symbols(definition,[spl27_27])],[avatar_definition]) ).
fof(f708,plain,
( k19_filter_2(sK0,sK2) = k3_filter_2(k1_lattice2(sK0),sK2)
| ~ spl27_27 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f709,plain,
( spl27_26
| spl27_27 ),
inference(avatar_split_clause,[],[f701,f707,f704]) ).
fof(f716,plain,
( v1_xboole_0(sK2)
| ~ spl27_26 ),
inference(resolution,[],[f705,f259]) ).
fof(f723,plain,
( $false
| ~ spl27_26 ),
inference(forward_subsumption_resolution,[],[f716,f260]) ).
fof(f724,plain,
~ spl27_26,
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f726,plain,
( v1_xboole_0(sK1)
| k19_filter_2(sK0,sK1) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,sK1)) ),
inference(resolution,[],[f696,f257]) ).
fof(f727,plain,
( v1_xboole_0(k2_xboole_0(sK1,sK2))
| k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,k2_xboole_0(sK1,sK2))) ),
inference(resolution,[],[f696,f589]) ).
fof(f728,plain,
k19_filter_2(sK0,sK1) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f726,f258]) ).
fof(f730,plain,
k19_filter_2(sK0,sK1) = k3_filter_2(k1_lattice2(sK0),sK1),
inference(forward_demodulation,[],[f728,f448]) ).
fof(f772,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| v3_struct_0(sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f304,f255]) ).
fof(f773,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f772,f256]) ).
fof(f774,plain,
! [X0] :
( ~ m2_lattice4(X0,sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f773,f254]) ).
fof(f776,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_filter_2(X0,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f774,f302]) ).
fof(f777,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_filter_2(X0,sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f776,f256]) ).
fof(f779,plain,
! [X0] :
( m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_filter_2(X0,sK0)
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f777,f255]) ).
fof(f781,plain,
! [X0] :
( ~ m2_filter_2(X0,sK0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[],[f779,f254]) ).
fof(f783,plain,
m1_subset_1(k19_filter_2(sK0,sK1),k1_zfmisc_1(u1_struct_0(sK0))),
inference(resolution,[],[f781,f499]) ).
fof(f784,plain,
m1_subset_1(k19_filter_2(sK0,sK2),k1_zfmisc_1(u1_struct_0(sK0))),
inference(resolution,[],[f781,f500]) ).
fof(f792,plain,
k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK2),sK1) = k2_xboole_0(k19_filter_2(sK0,sK2),sK1),
inference(resolution,[],[f784,f466]) ).
fof(f794,plain,
k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2)) = k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK2),sK1),
inference(resolution,[],[f784,f489]) ).
fof(f800,plain,
m1_subset_1(k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK2),sK1),k1_zfmisc_1(u1_struct_0(sK0))),
inference(resolution,[],[f784,f579]) ).
fof(f807,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k4_subset_1(u1_struct_0(sK0),X0,k19_filter_2(sK0,sK2)) = k2_xboole_0(X0,k19_filter_2(sK0,sK2)) ),
inference(resolution,[],[f784,f406]) ).
fof(f835,plain,
k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK2),sK1) = k2_xboole_0(sK1,k19_filter_2(sK0,sK2)),
inference(forward_demodulation,[],[f792,f278]) ).
fof(f863,plain,
k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2) = k2_xboole_0(k19_filter_2(sK0,sK1),sK2),
inference(resolution,[],[f783,f465]) ).
fof(f865,plain,
k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2) = k4_subset_1(u1_struct_0(sK0),sK2,k19_filter_2(sK0,sK1)),
inference(resolution,[],[f783,f488]) ).
fof(f871,plain,
m1_subset_1(k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2),k1_zfmisc_1(u1_struct_0(sK0))),
inference(resolution,[],[f783,f578]) ).
fof(f879,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k4_subset_1(u1_struct_0(sK0),X0,k19_filter_2(sK0,sK1)) = k2_xboole_0(X0,k19_filter_2(sK0,sK1)) ),
inference(resolution,[],[f783,f406]) ).
fof(f908,plain,
k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2) = k2_xboole_0(sK2,k19_filter_2(sK0,sK1)),
inference(forward_demodulation,[],[f863,f278]) ).
fof(f1083,plain,
( v3_struct_0(sK0)
| v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(resolution,[],[f355,f255]) ).
fof(f1084,plain,
( v10_lattices(k1_lattice2(sK0))
| ~ l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f1083,f256]) ).
fof(f1085,plain,
( ~ l3_lattices(sK0)
| spl27_6 ),
inference(forward_subsumption_resolution,[],[f1084,f550]) ).
fof(f1086,plain,
( $false
| spl27_6 ),
inference(forward_subsumption_resolution,[],[f1085,f254]) ).
fof(f1087,plain,
spl27_6,
inference(avatar_contradiction_clause,[],[f1086]) ).
fof(f1113,plain,
k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2)) = k2_xboole_0(sK1,k19_filter_2(sK0,sK2)),
inference(resolution,[],[f807,f257]) ).
fof(f1119,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2))))
| spl27_1 ),
inference(superposition,[],[f470,f1113]) ).
fof(f1128,plain,
k4_subset_1(u1_struct_0(sK0),sK2,k19_filter_2(sK0,sK1)) = k2_xboole_0(sK2,k19_filter_2(sK0,sK1)),
inference(resolution,[],[f879,f259]) ).
fof(f1147,plain,
( v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl27_7 ),
inference(resolution,[],[f553,f363]) ).
fof(f1152,plain,
( ~ v10_lattices(sK0)
| ~ l3_lattices(sK0)
| ~ spl27_7 ),
inference(forward_subsumption_resolution,[],[f1147,f256]) ).
fof(f1155,plain,
( ~ l3_lattices(sK0)
| ~ spl27_7 ),
inference(forward_subsumption_resolution,[],[f1152,f255]) ).
fof(f1156,plain,
( $false
| ~ spl27_7 ),
inference(forward_subsumption_resolution,[],[f1155,f254]) ).
fof(f1157,plain,
~ spl27_7,
inference(avatar_contradiction_clause,[],[f1156]) ).
fof(f1178,plain,
( k3_filter_2(k1_lattice2(sK0),sK2) = k3_filter_0(k1_lattice2(sK0),sK2)
| v1_xboole_0(sK2)
| ~ spl27_10 ),
inference(resolution,[],[f564,f664]) ).
fof(f1179,plain,
( k3_filter_2(k1_lattice2(sK0),sK1) = k3_filter_0(k1_lattice2(sK0),sK1)
| v1_xboole_0(sK1)
| ~ spl27_10 ),
inference(resolution,[],[f564,f663]) ).
fof(f1180,plain,
( k3_filter_2(k1_lattice2(sK0),sK1) = k3_filter_0(k1_lattice2(sK0),sK1)
| ~ spl27_10 ),
inference(forward_subsumption_resolution,[],[f1179,f258]) ).
fof(f1181,plain,
( k3_filter_2(k1_lattice2(sK0),sK2) = k3_filter_0(k1_lattice2(sK0),sK2)
| ~ spl27_10 ),
inference(forward_subsumption_resolution,[],[f1178,f260]) ).
fof(f1182,plain,
( k19_filter_2(sK0,sK1) = k3_filter_0(k1_lattice2(sK0),sK1)
| ~ spl27_10 ),
inference(forward_demodulation,[],[f1180,f730]) ).
fof(f1183,plain,
( k19_filter_2(sK0,sK2) = k3_filter_0(k1_lattice2(sK0),sK2)
| ~ spl27_10
| ~ spl27_27 ),
inference(forward_demodulation,[],[f1181,f708]) ).
fof(f1193,plain,
k1_lattice2(sK0) = g3_lattices(u1_struct_0(sK0),u1_lattices(sK0),u2_lattices(sK0)),
inference(resolution,[],[f280,f254]) ).
fof(f1208,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(resolution,[],[f262,f288]) ).
fof(f1209,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) ),
inference(forward_subsumption_resolution,[],[f1208,f287]) ).
fof(f1264,plain,
! [X0] :
( ~ m2_filter_2(X0,sK0)
| v3_struct_0(sK0)
| ~ v10_lattices(sK0)
| ~ v1_xboole_0(X0) ),
inference(resolution,[],[f303,f254]) ).
fof(f1269,plain,
! [X0] :
( ~ m2_filter_2(X0,sK0)
| ~ v10_lattices(sK0)
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f1264,f256]) ).
fof(f1274,plain,
! [X0] :
( ~ m2_filter_2(X0,sK0)
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f1269,f255]) ).
fof(f1317,plain,
~ v1_xboole_0(k19_filter_2(sK0,sK1)),
inference(resolution,[],[f1274,f499]) ).
fof(f1318,plain,
~ v1_xboole_0(k19_filter_2(sK0,sK2)),
inference(resolution,[],[f1274,f500]) ).
fof(f1421,plain,
! [X0] :
( m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(resolution,[],[f409,f306]) ).
fof(f1422,plain,
! [X0] :
( m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(resolution,[],[f309,f409]) ).
fof(f1510,definition,
( spl27_95
<=> l1_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl27_95])],[avatar_definition]) ).
fof(f1511,plain,
( ~ l1_lattices(sK0)
| spl27_95 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f1525,definition,
( spl27_99
<=> l2_lattices(sK0) ),
introduced(definition,[new_symbols(definition,[spl27_99])],[avatar_definition]) ).
fof(f1526,plain,
( ~ l2_lattices(sK0)
| spl27_99 ),
inference(avatar_component_clause,[],[f1525]) ).
fof(f1825,plain,
( ~ l3_lattices(sK0)
| spl27_95 ),
inference(resolution,[],[f1511,f297]) ).
fof(f1827,plain,
( $false
| spl27_95 ),
inference(forward_subsumption_resolution,[],[f1825,f254]) ).
fof(f1828,plain,
spl27_95,
inference(avatar_contradiction_clause,[],[f1827]) ).
fof(f1830,plain,
! [X0] :
( ~ l3_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(resolution,[],[f311,f296]) ).
fof(f1985,plain,
( k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,sK2))
| v1_xboole_0(k2_xboole_0(sK1,sK2))
| ~ spl27_10 ),
inference(resolution,[],[f662,f564]) ).
fof(f2034,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,sK2))
| v1_xboole_0(k2_xboole_0(sK1,sK2)) ),
inference(forward_demodulation,[],[f727,f590]) ).
fof(f2047,definition,
( spl27_122
<=> k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl27_122])],[avatar_definition]) ).
fof(f2048,plain,
( k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,sK2))
| ~ spl27_122 ),
inference(avatar_component_clause,[],[f2047]) ).
fof(f2049,plain,
( spl27_15
| spl27_122
| ~ spl27_10 ),
inference(avatar_split_clause,[],[f1985,f563,f2047,f613]) ).
fof(f2056,definition,
( spl27_123
<=> k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)) ),
introduced(definition,[new_symbols(definition,[spl27_123])],[avatar_definition]) ).
fof(f2057,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,sK2))
| ~ spl27_123 ),
inference(avatar_component_clause,[],[f2056]) ).
fof(f2058,plain,
( spl27_15
| spl27_123 ),
inference(avatar_split_clause,[],[f2034,f2056,f613]) ).
fof(f2077,plain,
( k1_xboole_0 = k2_xboole_0(sK1,sK2)
| ~ spl27_15 ),
inference(resolution,[],[f614,f429]) ).
fof(f2132,plain,
( m1_subset_1(k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl27_19 ),
inference(resolution,[],[f632,f781]) ).
fof(f2143,plain,
( ~ l3_lattices(sK0)
| spl27_99 ),
inference(resolution,[],[f1526,f296]) ).
fof(f2145,plain,
( $false
| spl27_99 ),
inference(forward_subsumption_resolution,[],[f2143,f254]) ).
fof(f2146,plain,
spl27_99,
inference(avatar_contradiction_clause,[],[f2145]) ).
fof(f2185,plain,
( k1_xboole_0 = u1_struct_0(sK0)
| ~ spl27_4 ),
inference(resolution,[],[f482,f429]) ).
fof(f2569,plain,
k1_lattice2(sK0) = g3_lattices(u1_struct_0(k1_lattice2(sK0)),u2_lattices(k1_lattice2(sK0)),u1_lattices(k1_lattice2(sK0))),
inference(resolution,[],[f1209,f254]) ).
fof(f2746,plain,
v1_funct_1(u2_lattices(sK0)),
inference(resolution,[],[f1830,f254]) ).
fof(f2755,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| X0 = X2
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(X0,X0),X0)
| g3_lattices(X2,X3,X4) != g3_lattices(X0,X1,u2_lattices(sK0)) ),
inference(resolution,[],[f2746,f366]) ).
fof(f2800,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| u1_struct_0(sK0) = X1
| ~ v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| g3_lattices(X1,X2,X3) != g3_lattices(u1_struct_0(sK0),X0,u2_lattices(sK0))
| ~ l2_lattices(sK0) ),
inference(resolution,[],[f2755,f1422]) ).
fof(f2803,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| u1_struct_0(sK0) = X1
| g3_lattices(X1,X2,X3) != g3_lattices(u1_struct_0(sK0),X0,u2_lattices(sK0))
| ~ l2_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f2800,f310]) ).
fof(f2821,plain,
! [X0] :
( ~ l1_lattices(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(resolution,[],[f294,f326]) ).
fof(f2822,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(resolution,[],[f2821,f297]) ).
fof(f2825,plain,
( ~ v1_xboole_0(k1_xboole_0)
| v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| ~ spl27_4 ),
inference(superposition,[],[f2822,f2185]) ).
fof(f2827,plain,
( v3_struct_0(sK0)
| ~ l3_lattices(sK0)
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f2825,f328]) ).
fof(f2829,plain,
( ~ l3_lattices(sK0)
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f2827,f256]) ).
fof(f2832,plain,
( $false
| ~ spl27_4 ),
inference(forward_subsumption_resolution,[],[f2829,f254]) ).
fof(f2833,plain,
~ spl27_4,
inference(avatar_contradiction_clause,[],[f2832]) ).
fof(f2861,definition,
( spl27_154
<=> ! [X0,X3,X2,X1] :
( ~ v1_funct_1(X0)
| u1_struct_0(sK0) = X1
| g3_lattices(X1,X2,X3) != g3_lattices(u1_struct_0(sK0),X0,u2_lattices(sK0))
| ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl27_154])],[avatar_definition]) ).
fof(f2862,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_relset_1(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| u1_struct_0(sK0) = X1
| g3_lattices(X1,X2,X3) != g3_lattices(u1_struct_0(sK0),X0,u2_lattices(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) )
| ~ spl27_154 ),
inference(avatar_component_clause,[],[f2861]) ).
fof(f2863,plain,
( ~ spl27_99
| spl27_154 ),
inference(avatar_split_clause,[],[f2803,f2861,f1525]) ).
fof(f2868,plain,
( ! [X2,X0,X1] :
( u1_struct_0(sK0) = X0
| g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u1_lattices(sK0),u2_lattices(sK0))
| ~ 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))
| ~ l1_lattices(sK0) )
| ~ spl27_154 ),
inference(resolution,[],[f2862,f1421]) ).
fof(f2871,plain,
( ! [X2,X0,X1] :
( u1_struct_0(sK0) = X0
| g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u1_lattices(sK0),u2_lattices(sK0))
| ~ v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ l1_lattices(sK0) )
| ~ spl27_154 ),
inference(forward_subsumption_resolution,[],[f2868,f308]) ).
fof(f2873,plain,
( ! [X2,X0,X1] :
( u1_struct_0(sK0) = X0
| g3_lattices(X0,X1,X2) != g3_lattices(u1_struct_0(sK0),u1_lattices(sK0),u2_lattices(sK0))
| ~ l1_lattices(sK0) )
| ~ spl27_154 ),
inference(forward_subsumption_resolution,[],[f2871,f307]) ).
fof(f2878,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0
| ~ l1_lattices(sK0) )
| ~ spl27_154 ),
inference(forward_demodulation,[],[f2873,f1193]) ).
fof(f2880,definition,
( spl27_157
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl27_157])],[avatar_definition]) ).
fof(f2881,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0 )
| ~ spl27_157 ),
inference(avatar_component_clause,[],[f2880]) ).
fof(f2882,plain,
( ~ spl27_95
| spl27_157
| ~ spl27_154 ),
inference(avatar_split_clause,[],[f2878,f2861,f2880,f1510]) ).
fof(f2884,plain,
( k1_lattice2(sK0) != k1_lattice2(sK0)
| u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0))
| ~ spl27_157 ),
inference(superposition,[],[f2881,f2569]) ).
fof(f2885,plain,
( u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0))
| ~ spl27_157 ),
inference(trivial_inequality_removal,[],[f2884]) ).
fof(f2886,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k3_filter_2(k1_lattice2(sK0),X0) = k3_filter_0(k1_lattice2(sK0),X0)
| v1_xboole_0(X0) )
| ~ spl27_10
| ~ spl27_157 ),
inference(superposition,[],[f564,f2885]) ).
fof(f2951,plain,
( ~ v1_xboole_0(u1_struct_0(sK0))
| spl27_4 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f3353,plain,
( ~ v1_xboole_0(k1_xboole_0)
| v1_xboole_0(sK1)
| ~ spl27_15 ),
inference(superposition,[],[f335,f2077]) ).
fof(f3355,plain,
( v1_xboole_0(sK1)
| ~ spl27_15 ),
inference(forward_subsumption_resolution,[],[f3353,f328]) ).
fof(f3358,plain,
( $false
| ~ spl27_15 ),
inference(forward_subsumption_resolution,[],[f3355,f258]) ).
fof(f3359,plain,
~ spl27_15,
inference(avatar_contradiction_clause,[],[f3358]) ).
fof(f3848,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,sK2))
| ~ spl27_122
| ~ spl27_123 ),
inference(superposition,[],[f2057,f2048]) ).
fof(f6305,plain,
( v1_xboole_0(u1_struct_0(sK0))
| r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)))
| ~ spl27_19 ),
inference(resolution,[],[f2132,f433]) ).
fof(f6313,plain,
( r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)))
| spl27_4
| ~ spl27_19 ),
inference(forward_subsumption_resolution,[],[f6305,f2951]) ).
fof(f7240,plain,
( ! [X0] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X0,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X0,k3_filter_0(k1_lattice2(sK0),sK1)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(sK1) )
| ~ spl27_9 ),
inference(resolution,[],[f560,f663]) ).
fof(f7241,plain,
( ! [X0] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X0,sK2)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X0,k3_filter_0(k1_lattice2(sK0),sK2)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0))))
| v1_xboole_0(sK2) )
| ~ spl27_9 ),
inference(resolution,[],[f560,f664]) ).
fof(f7245,plain,
( ! [X0] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X0,sK2)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X0,k3_filter_0(k1_lattice2(sK0),sK2)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) )
| ~ spl27_9 ),
inference(forward_subsumption_resolution,[],[f7241,f260]) ).
fof(f7246,plain,
( ! [X0] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X0,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X0,k3_filter_0(k1_lattice2(sK0),sK1)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) )
| ~ spl27_9 ),
inference(forward_subsumption_resolution,[],[f7240,f258]) ).
fof(f7251,plain,
( ! [X0] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X0,sK2)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X0,k19_filter_2(sK0,sK2)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) )
| ~ spl27_9
| ~ spl27_10
| ~ spl27_27 ),
inference(forward_demodulation,[],[f7245,f1183]) ).
fof(f7252,plain,
( ! [X0] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X0,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(k1_lattice2(sK0)),X0,k19_filter_2(sK0,sK1)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) )
| ~ spl27_9
| ~ spl27_10 ),
inference(forward_demodulation,[],[f7246,f1182]) ).
fof(f7257,plain,
( ! [X0] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),X0,sK2)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),X0,k19_filter_2(sK0,sK2)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) )
| ~ spl27_9
| ~ spl27_10
| ~ spl27_27
| ~ spl27_157 ),
inference(forward_demodulation,[],[f7251,f2885]) ).
fof(f7258,plain,
( ! [X0] :
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),X0,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),X0,k19_filter_2(sK0,sK1)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK0)))) )
| ~ spl27_9
| ~ spl27_10
| ~ spl27_157 ),
inference(forward_demodulation,[],[f7252,f2885]) ).
fof(f7263,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),X0,sK2)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),X0,k19_filter_2(sK0,sK2)))
| v1_xboole_0(X0) )
| ~ spl27_9
| ~ spl27_10
| ~ spl27_27
| ~ spl27_157 ),
inference(forward_demodulation,[],[f7257,f2885]) ).
fof(f7264,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),X0,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),X0,k19_filter_2(sK0,sK1)))
| v1_xboole_0(X0) )
| ~ spl27_9
| ~ spl27_10
| ~ spl27_157 ),
inference(forward_demodulation,[],[f7258,f2885]) ).
fof(f7295,plain,
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK2,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK2,k19_filter_2(sK0,sK1)))
| v1_xboole_0(sK2)
| ~ spl27_9
| ~ spl27_10
| ~ spl27_157 ),
inference(resolution,[],[f7264,f259]) ).
fof(f7298,plain,
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK2,sK1)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK2,k19_filter_2(sK0,sK1)))
| ~ spl27_9
| ~ spl27_10
| ~ spl27_157 ),
inference(forward_subsumption_resolution,[],[f7295,f260]) ).
fof(f7323,plain,
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK2,sK1)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| ~ spl27_9
| ~ spl27_10
| ~ spl27_157 ),
inference(forward_demodulation,[],[f7298,f1128]) ).
fof(f7348,plain,
( k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| ~ spl27_9
| ~ spl27_10
| ~ spl27_157 ),
inference(forward_demodulation,[],[f7323,f474]) ).
fof(f7388,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| ~ spl27_9
| ~ spl27_10
| ~ spl27_122
| ~ spl27_123
| ~ spl27_157 ),
inference(forward_demodulation,[],[f7348,f3848]) ).
fof(f7436,plain,
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2))) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK1,sK2))
| v1_xboole_0(sK1)
| ~ spl27_9
| ~ spl27_10
| ~ spl27_27
| ~ spl27_157 ),
inference(resolution,[],[f7263,f257]) ).
fof(f7441,plain,
( k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2))) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK1,sK2))
| ~ spl27_9
| ~ spl27_10
| ~ spl27_27
| ~ spl27_157 ),
inference(forward_subsumption_resolution,[],[f7436,f258]) ).
fof(f7466,plain,
( k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2)))
| ~ spl27_9
| ~ spl27_10
| ~ spl27_27
| ~ spl27_157 ),
inference(forward_demodulation,[],[f7441,f468]) ).
fof(f7491,plain,
( k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| ~ spl27_9
| ~ spl27_10
| ~ spl27_27
| ~ spl27_157 ),
inference(forward_demodulation,[],[f7466,f1113]) ).
fof(f7531,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| ~ spl27_9
| ~ spl27_10
| ~ spl27_27
| ~ spl27_122
| ~ spl27_123
| ~ spl27_157 ),
inference(forward_demodulation,[],[f7491,f3848]) ).
fof(f13128,plain,
k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2) = k7_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2)),
inference(resolution,[],[f871,f443]) ).
fof(f13148,plain,
( v1_xboole_0(k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2))
| k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2)) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2))) ),
inference(resolution,[],[f871,f696]) ).
fof(f13212,plain,
m1_subset_1(k2_xboole_0(sK2,k19_filter_2(sK0,sK1)),k1_zfmisc_1(u1_struct_0(sK0))),
inference(superposition,[],[f871,f908]) ).
fof(f13272,plain,
( v1_xboole_0(k4_subset_1(u1_struct_0(sK0),sK2,k19_filter_2(sK0,sK1)))
| k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2)) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2))) ),
inference(forward_demodulation,[],[f13148,f865]) ).
fof(f13292,plain,
k4_subset_1(u1_struct_0(sK0),sK2,k19_filter_2(sK0,sK1)) = k7_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK2,k19_filter_2(sK0,sK1))),
inference(forward_demodulation,[],[f13128,f865]) ).
fof(f13351,plain,
( v1_xboole_0(k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2)) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK1),sK2))) ),
inference(forward_demodulation,[],[f13272,f1128]) ).
fof(f13371,plain,
k2_xboole_0(sK2,k19_filter_2(sK0,sK1)) = k7_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1))),
inference(forward_demodulation,[],[f13292,f1128]) ).
fof(f13415,plain,
( k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK2,k19_filter_2(sK0,sK1))) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK2,k19_filter_2(sK0,sK1))))
| v1_xboole_0(k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) ),
inference(forward_demodulation,[],[f13351,f865]) ).
fof(f13464,plain,
( k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1))))
| v1_xboole_0(k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) ),
inference(forward_demodulation,[],[f13415,f1128]) ).
fof(f13483,definition,
( spl27_557
<=> v1_xboole_0(k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl27_557])],[avatar_definition]) ).
fof(f13484,plain,
( v1_xboole_0(k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| ~ spl27_557 ),
inference(avatar_component_clause,[],[f13483]) ).
fof(f13550,plain,
( k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) = k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| v1_xboole_0(k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) ),
inference(forward_demodulation,[],[f13464,f13371]) ).
fof(f13619,definition,
( spl27_585
<=> k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) = k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl27_585])],[avatar_definition]) ).
fof(f13620,plain,
( k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) = k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| ~ spl27_585 ),
inference(avatar_component_clause,[],[f13619]) ).
fof(f13631,plain,
( spl27_557
| spl27_585 ),
inference(avatar_split_clause,[],[f13550,f13619,f13483]) ).
fof(f13682,plain,
( v1_xboole_0(k19_filter_2(sK0,sK1))
| ~ spl27_557 ),
inference(resolution,[],[f13484,f343]) ).
fof(f13691,plain,
( $false
| ~ spl27_557 ),
inference(forward_subsumption_resolution,[],[f13682,f1317]) ).
fof(f13692,plain,
~ spl27_557,
inference(avatar_contradiction_clause,[],[f13691]) ).
fof(f13737,plain,
( k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) = k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| v1_xboole_0(k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| ~ spl27_10
| ~ spl27_157 ),
inference(resolution,[],[f13212,f2886]) ).
fof(f13800,plain,
( k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) = k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| v1_xboole_0(k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| ~ spl27_10
| ~ spl27_157
| ~ spl27_585 ),
inference(forward_demodulation,[],[f13737,f13620]) ).
fof(f13824,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| v1_xboole_0(k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| ~ spl27_9
| ~ spl27_10
| ~ spl27_122
| ~ spl27_123
| ~ spl27_157
| ~ spl27_585 ),
inference(forward_demodulation,[],[f13800,f7388]) ).
fof(f13839,definition,
( spl27_597
<=> k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl27_597])],[avatar_definition]) ).
fof(f13840,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1)))
| ~ spl27_597 ),
inference(avatar_component_clause,[],[f13839]) ).
fof(f13841,plain,
( spl27_557
| spl27_597
| ~ spl27_9
| ~ spl27_10
| ~ spl27_122
| ~ spl27_123
| ~ spl27_157
| ~ spl27_585 ),
inference(avatar_split_clause,[],[f13824,f13619,f2880,f2056,f2047,f563,f559,f13839,f13483]) ).
fof(f14142,plain,
k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK2),sK1) = k7_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK2),sK1)),
inference(resolution,[],[f800,f443]) ).
fof(f14162,plain,
( v1_xboole_0(k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK2),sK1))
| k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK2),sK1)) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK2),sK1))) ),
inference(resolution,[],[f800,f696]) ).
fof(f14226,plain,
m1_subset_1(k2_xboole_0(sK1,k19_filter_2(sK0,sK2)),k1_zfmisc_1(u1_struct_0(sK0))),
inference(superposition,[],[f800,f835]) ).
fof(f14286,plain,
( v1_xboole_0(k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2)))
| k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK2),sK1)) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK2),sK1))) ),
inference(forward_demodulation,[],[f14162,f794]) ).
fof(f14306,plain,
k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2)) = k7_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2))),
inference(forward_demodulation,[],[f14142,f794]) ).
fof(f14365,plain,
( v1_xboole_0(k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK2),sK1)) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),k19_filter_2(sK0,sK2),sK1))) ),
inference(forward_demodulation,[],[f14286,f1113]) ).
fof(f14385,plain,
k2_xboole_0(sK1,k19_filter_2(sK0,sK2)) = k7_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2))),
inference(forward_demodulation,[],[f14306,f1113]) ).
fof(f14429,plain,
( k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2))) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,k19_filter_2(sK0,sK2))))
| v1_xboole_0(k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) ),
inference(forward_demodulation,[],[f14365,f794]) ).
fof(f14477,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) = k3_filter_2(k1_lattice2(sK0),k7_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2))))
| v1_xboole_0(k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) ),
inference(forward_demodulation,[],[f14429,f1113]) ).
fof(f14496,definition,
( spl27_598
<=> v1_xboole_0(k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) ),
introduced(definition,[new_symbols(definition,[spl27_598])],[avatar_definition]) ).
fof(f14497,plain,
( v1_xboole_0(k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| ~ spl27_598 ),
inference(avatar_component_clause,[],[f14496]) ).
fof(f14562,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) = k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| v1_xboole_0(k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) ),
inference(forward_demodulation,[],[f14477,f14385]) ).
fof(f14627,definition,
( spl27_625
<=> k19_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) = k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) ),
introduced(definition,[new_symbols(definition,[spl27_625])],[avatar_definition]) ).
fof(f14628,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) = k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| ~ spl27_625 ),
inference(avatar_component_clause,[],[f14627]) ).
fof(f14639,plain,
( spl27_598
| spl27_625 ),
inference(avatar_split_clause,[],[f14562,f14627,f14496]) ).
fof(f14690,plain,
( v1_xboole_0(k19_filter_2(sK0,sK2))
| ~ spl27_598 ),
inference(resolution,[],[f14497,f343]) ).
fof(f14699,plain,
( $false
| ~ spl27_598 ),
inference(forward_subsumption_resolution,[],[f14690,f1318]) ).
fof(f14700,plain,
~ spl27_598,
inference(avatar_contradiction_clause,[],[f14699]) ).
fof(f14745,plain,
( k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) = k3_filter_2(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| v1_xboole_0(k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| ~ spl27_10
| ~ spl27_157 ),
inference(resolution,[],[f14226,f2886]) ).
fof(f14808,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) = k3_filter_0(k1_lattice2(sK0),k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| v1_xboole_0(k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| ~ spl27_10
| ~ spl27_157
| ~ spl27_625 ),
inference(forward_demodulation,[],[f14745,f14628]) ).
fof(f14832,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k19_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| v1_xboole_0(k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| ~ spl27_9
| ~ spl27_10
| ~ spl27_27
| ~ spl27_122
| ~ spl27_123
| ~ spl27_157
| ~ spl27_625 ),
inference(forward_demodulation,[],[f14808,f7531]) ).
fof(f14847,definition,
( spl27_637
<=> k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k19_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2))) ),
introduced(definition,[new_symbols(definition,[spl27_637])],[avatar_definition]) ).
fof(f14848,plain,
( k19_filter_2(sK0,k2_xboole_0(sK1,sK2)) = k19_filter_2(sK0,k2_xboole_0(sK1,k19_filter_2(sK0,sK2)))
| ~ spl27_637 ),
inference(avatar_component_clause,[],[f14847]) ).
fof(f14849,plain,
( spl27_598
| spl27_637
| ~ spl27_9
| ~ spl27_10
| ~ spl27_27
| ~ spl27_122
| ~ spl27_123
| ~ spl27_157
| ~ spl27_625 ),
inference(avatar_split_clause,[],[f14832,f14627,f2880,f2056,f2047,f707,f563,f559,f14847,f14496]) ).
fof(f14870,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)))
| spl27_1
| ~ spl27_637 ),
inference(superposition,[],[f1119,f14848]) ).
fof(f14871,plain,
( $false
| spl27_1
| spl27_4
| ~ spl27_19
| ~ spl27_637 ),
inference(forward_subsumption_resolution,[],[f14870,f6313]) ).
fof(f14872,plain,
( spl27_1
| spl27_4
| ~ spl27_19
| ~ spl27_637 ),
inference(avatar_contradiction_clause,[],[f14871]) ).
fof(f14873,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK2,k19_filter_2(sK0,sK1))))
| spl27_2 ),
inference(forward_demodulation,[],[f439,f865]) ).
fof(f14874,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(sK2,k19_filter_2(sK0,sK1))))
| spl27_2 ),
inference(forward_demodulation,[],[f14873,f1128]) ).
fof(f14875,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k4_subset_1(u1_struct_0(sK0),sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)))
| spl27_2
| ~ spl27_597 ),
inference(forward_demodulation,[],[f14874,f13840]) ).
fof(f14876,plain,
( ~ r1_filter_2(u1_struct_0(sK0),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)),k19_filter_2(sK0,k2_xboole_0(sK1,sK2)))
| spl27_2
| ~ spl27_597 ),
inference(forward_demodulation,[],[f14875,f468]) ).
fof(f14877,plain,
( $false
| spl27_2
| spl27_4
| ~ spl27_19
| ~ spl27_597 ),
inference(forward_subsumption_resolution,[],[f14876,f6313]) ).
fof(f14878,plain,
( spl27_2
| spl27_4
| ~ spl27_19
| ~ spl27_597 ),
inference(avatar_contradiction_clause,[],[f14877]) ).
cnf(s1,plain,
( ~ spl27_1
| ~ spl27_2 ),
inference(sat_conversion,[],[f440]) ).
cnf(s5,plain,
( ~ spl27_6
| spl27_7
| spl27_9 ),
inference(sat_conversion,[],[f561]) ).
cnf(s6,plain,
( ~ spl27_6
| spl27_7
| spl27_10 ),
inference(sat_conversion,[],[f565]) ).
cnf(s14,plain,
( spl27_15
| spl27_19 ),
inference(sat_conversion,[],[f633]) ).
cnf(s20,plain,
( spl27_26
| spl27_27 ),
inference(sat_conversion,[],[f709]) ).
cnf(s25,plain,
~ spl27_26,
inference(sat_conversion,[],[f724]) ).
cnf(s72,plain,
spl27_6,
inference(sat_conversion,[],[f1087]) ).
cnf(s76,plain,
~ spl27_7,
inference(sat_conversion,[],[f1157]) ).
cnf(s118,plain,
spl27_95,
inference(sat_conversion,[],[f1828]) ).
cnf(s122,plain,
( ~ spl27_10
| spl27_15
| spl27_122 ),
inference(sat_conversion,[],[f2049]) ).
cnf(s123,plain,
( spl27_15
| spl27_123 ),
inference(sat_conversion,[],[f2058]) ).
cnf(s128,plain,
spl27_99,
inference(sat_conversion,[],[f2146]) ).
cnf(s160,plain,
~ spl27_4,
inference(sat_conversion,[],[f2833]) ).
cnf(s165,plain,
( ~ spl27_99
| spl27_154 ),
inference(sat_conversion,[],[f2863]) ).
cnf(s168,plain,
( ~ spl27_95
| ~ spl27_154
| spl27_157 ),
inference(sat_conversion,[],[f2882]) ).
cnf(s196,plain,
~ spl27_15,
inference(sat_conversion,[],[f3359]) ).
cnf(s721,plain,
( spl27_557
| spl27_585 ),
inference(sat_conversion,[],[f13631]) ).
cnf(s734,plain,
~ spl27_557,
inference(sat_conversion,[],[f13692]) ).
cnf(s735,plain,
( ~ spl27_9
| ~ spl27_10
| ~ spl27_122
| ~ spl27_123
| ~ spl27_157
| spl27_557
| ~ spl27_585
| spl27_597 ),
inference(sat_conversion,[],[f13841]) ).
cnf(s768,plain,
( spl27_598
| spl27_625 ),
inference(sat_conversion,[],[f14639]) ).
cnf(s781,plain,
~ spl27_598,
inference(sat_conversion,[],[f14700]) ).
cnf(s782,plain,
( ~ spl27_9
| ~ spl27_10
| ~ spl27_27
| ~ spl27_122
| ~ spl27_123
| ~ spl27_157
| spl27_598
| ~ spl27_625
| spl27_637 ),
inference(sat_conversion,[],[f14849]) ).
cnf(s783,plain,
( spl27_1
| spl27_4
| ~ spl27_19
| ~ spl27_637 ),
inference(sat_conversion,[],[f14872]) ).
cnf(s784,plain,
( spl27_2
| spl27_4
| ~ spl27_19
| ~ spl27_597 ),
inference(sat_conversion,[],[f14878]) ).
cnf(s794,plain,
spl27_625,
inference(rat,[],[s768,s781]) ).
cnf(s834,plain,
spl27_585,
inference(rat,[],[s721,s734]) ).
cnf(s1098,plain,
spl27_154,
inference(rat,[],[s165,s128]) ).
cnf(s1102,plain,
spl27_123,
inference(rat,[],[s123,s196]) ).
cnf(s1103,plain,
( ~ spl27_10
| spl27_122 ),
inference(rat,[],[s122,s196]) ).
cnf(s1107,plain,
spl27_157,
inference(rat,[],[s168,s1098,s118]) ).
cnf(s1347,plain,
spl27_27,
inference(rat,[],[s20,s25]) ).
cnf(s1377,plain,
spl27_19,
inference(rat,[],[s14,s196]) ).
cnf(s1396,plain,
spl27_10,
inference(rat,[],[s6,s76,s72]) ).
cnf(s1406,plain,
spl27_122,
inference(rat,[],[s1103,s1396]) ).
cnf(s1414,plain,
spl27_9,
inference(rat,[],[s5,s76,s72]) ).
cnf(s1415,plain,
spl27_637,
inference(rat,[],[s782,s1406,s794,s781,s1107,s1102,s1396,s1347,s1414]) ).
cnf(s1420,plain,
spl27_597,
inference(rat,[],[s735,s1406,s834,s734,s1107,s1102,s1396,s1414]) ).
cnf(s1456,plain,
spl27_1,
inference(rat,[],[s783,s1377,s160,s1415]) ).
cnf(s1457,plain,
spl27_2,
inference(rat,[],[s784,s1377,s160,s1420]) ).
cnf(s1519,plain,
$false,
inference(rat,[],[s1,s1457,s1456]) ).
fof(f14879,plain,
$false,
inference(avatar_sat_refutation,[],[s1519]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT315+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/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 14:32:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 12.94/2.74 % (4045993)Detected formulas, will run a generic FOF schedule.
% 12.94/2.74 % (4046121)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4091058184:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.94/2.74 % (4046114)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=2889160228:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.94/2.74 % (4046120)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=148426156:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.94/2.74 % (4046116)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=1019810747:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.94/2.74 % (4046117)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=651280595:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.94/2.74 % (4046122)dis-21_1_sil=8000:lcm=predicate:random_seed=580695867: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)
% 12.94/2.74 % (4046121)Instruction limit reached!
% 12.94/2.74 % (4046121)------------------------------
% 12.94/2.74 % (4046121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.94/2.74 % (4046121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.74 % (4046121)CaDiCaL version: 2.1.3
% 12.94/2.74 % (4046121)Termination reason: Instruction limit
% 12.94/2.74 % (4046121)Termination phase: Saturation
% 12.94/2.74 % (4046121)Time elapsed: 0.053 s
% 12.94/2.74 % (4046121)Peak memory usage: 90 MB
% 12.94/2.74 % (4046121)Instructions burned: 147 (million)
% 12.94/2.74 % (4046118)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=577598965:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.94/2.74 % (4046118)Refutation not found, incomplete strategy
% 12.94/2.74 % (4046118)------------------------------
% 12.94/2.74 % (4046118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.94/2.74 % (4046118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.74 % (4046118)CaDiCaL version: 2.1.3
% 12.94/2.74 % (4046118)Termination reason: Refutation not found, incomplete strategy
% 12.94/2.74 % (4046118)Time elapsed: 0.005 s
% 12.94/2.74 % (4046118)Peak memory usage: 89 MB
% 12.94/2.74 % (4046118)Instructions burned: 5 (million)
% 12.94/2.74 % (4046120)Instruction limit reached!
% 12.94/2.74 % (4046120)------------------------------
% 12.94/2.74 % (4046120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.94/2.74 % (4046120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.74 % (4046120)CaDiCaL version: 2.1.3
% 12.94/2.74 % (4046120)Termination reason: Instruction limit
% 12.94/2.74 % (4046120)Termination phase: Saturation
% 12.94/2.74 % (4046120)Time elapsed: 0.067 s
% 12.94/2.74 % (4046120)Peak memory usage: 88 MB
% 12.94/2.74 % (4046120)Instructions burned: 121 (million)
% 12.94/2.74 % (4046122)Instruction limit reached!
% 12.94/2.74 % (4046122)------------------------------
% 12.94/2.74 % (4046122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.94/2.74 % (4046122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.74 % (4046122)CaDiCaL version: 2.1.3
% 12.94/2.74 % (4046122)Termination reason: Instruction limit
% 12.94/2.74 % (4046122)Termination phase: Saturation
% 12.94/2.74 % (4046122)Time elapsed: 0.077 s
% 12.94/2.74 % (4046122)Peak memory usage: 94 MB
% 12.94/2.74 % (4046122)Instructions burned: 130 (million)
% 12.94/2.74 % (4046168)lrs+10_1_sil=8000:sp=occurrence:random_seed=3261191133:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 12.94/2.74 % (4046168)Instruction limit reached!
% 12.94/2.74 % (4046168)------------------------------
% 12.94/2.74 % (4046168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.94/2.74 % (4046168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.74 % (4046168)CaDiCaL version: 2.1.3
% 12.94/2.74 % (4046168)Termination reason: Instruction limit
% 12.94/2.74 % (4046168)Termination phase: Saturation
% 12.94/2.74 % (4046168)Time elapsed: 0.092 s
% 12.94/2.74 % (4046168)Peak memory usage: 92 MB
% 12.94/2.74 % (4046168)Instructions burned: 286 (million)
% 12.94/2.74 % (4046185)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2395281252:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.22/3.04 % (4046189)lrs+1011_1_sil=32000:sp=occurrence:random_seed=494277426:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.22/3.04 % (4046118)------------------------------
% 9.22/3.04 % (4046118)------------------------------
% 9.22/3.04 % (4046185)Instruction limit reached!
% 9.22/3.04 % (4046185)------------------------------
% 9.22/3.04 % (4046185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.22/3.04 % (4046185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/3.04 % (4046185)CaDiCaL version: 2.1.3
% 9.22/3.04 % (4046185)Termination reason: Instruction limit
% 9.22/3.04 % (4046185)Termination phase: Saturation
% 9.22/3.04 % (4046185)Time elapsed: 0.082 s
% 9.22/3.04 % (4046185)Peak memory usage: 90 MB
% 9.22/3.04 % (4046185)Instructions burned: 158 (million)
% 9.22/3.04 % (4046232)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=3856253228:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 9.22/3.04 % (4046232)Instruction limit reached!
% 9.22/3.04 % (4046232)------------------------------
% 9.22/3.04 % (4046232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.22/3.04 % (4046232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/3.04 % (4046232)CaDiCaL version: 2.1.3
% 9.22/3.04 % (4046232)Termination reason: Instruction limit
% 9.22/3.04 % (4046232)Termination phase: Saturation
% 9.22/3.04 % (4046232)Time elapsed: 0.073 s
% 9.22/3.04 % (4046232)Peak memory usage: 91 MB
% 9.22/3.04 % (4046232)Instructions burned: 251 (million)
% 9.22/3.04 % (4046259)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1773695508:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.22/3.04 % (4046189)Instruction limit reached!
% 9.22/3.04 % (4046189)------------------------------
% 9.22/3.04 % (4046189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.22/3.04 % (4046189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/3.04 % (4046189)CaDiCaL version: 2.1.3
% 9.22/3.04 % (4046189)Termination reason: Instruction limit
% 9.22/3.04 % (4046189)Termination phase: Saturation
% 9.22/3.04 % (4046189)Time elapsed: 0.213 s
% 9.22/3.04 % (4046189)Peak memory usage: 92 MB
% 9.22/3.04 % (4046189)Instructions burned: 325 (million)
% 9.22/3.04 % (4046277)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3629472915:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.22/3.04 % (4046319)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1848177966:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.22/3.04 % (4046319)Instruction limit reached!
% 9.22/3.04 % (4046319)------------------------------
% 9.22/3.04 % (4046319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.22/3.04 % (4046319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/3.04 % (4046319)CaDiCaL version: 2.1.3
% 9.22/3.04 % (4046319)Termination reason: Instruction limit
% 9.22/3.04 % (4046319)Termination phase: Saturation
% 9.22/3.04 % (4046319)Time elapsed: 0.041 s
% 9.22/3.04 % (4046319)Peak memory usage: 90 MB
% 9.22/3.04 % (4046319)Instructions burned: 113 (million)
% 9.22/3.04 % (4046259)Instruction limit reached!
% 9.22/3.04 % (4046259)------------------------------
% 9.22/3.04 % (4046259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.22/3.04 % (4046259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/3.04 % (4046259)CaDiCaL version: 2.1.3
% 9.22/3.04 % (4046259)Termination reason: Instruction limit
% 9.22/3.04 % (4046259)Termination phase: Saturation
% 9.22/3.04 % (4046259)Time elapsed: 0.156 s
% 9.22/3.04 % (4046259)Peak memory usage: 90 MB
% 9.22/3.04 % (4046259)Instructions burned: 294 (million)
% 9.22/3.04 % (4046339)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=64959359:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.22/3.04 % (4046385)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=592157269:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 9.22/3.04 % (4046339)Instruction limit reached!
% 9.22/3.04 % (4046339)------------------------------
% 9.22/3.04 % (4046339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.22/3.04 % (4046339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/3.04 % (4046339)CaDiCaL version: 2.1.3
% 9.22/3.04 % (4046339)Termination reason: Instruction limit
% 9.22/3.04 % (4046339)Termination phase: Saturation
% 9.22/3.04 % (4046339)Time elapsed: 0.068 s
% 9.22/3.04 % (4046339)Peak memory usage: 89 MB
% 9.22/3.04 % (4046339)Instructions burned: 128 (million)
% 9.22/3.04 % (4046385)Instruction limit reached!
% 9.22/3.04 % (4046385)------------------------------
% 9.22/3.04 % (4046385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.22/3.04 % (4046385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/3.04 % (4046385)CaDiCaL version: 2.1.3
% 9.22/3.04 % (4046385)Termination reason: Instruction limit
% 9.22/3.04 % (4046385)Termination phase: Saturation
% 9.22/3.04 % (4046385)Time elapsed: 0.036 s
% 9.22/3.04 % (4046385)Peak memory usage: 89 MB
% 9.22/3.04 % (4046385)Instructions burned: 116 (million)
% 9.22/3.04 % (4046394)lrs+10_1_sil=8000:sp=occurrence:random_seed=1739834738:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 9.22/3.04 % (4046434)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2244752131:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.22/3.04 % (4046448)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1677546259:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 9.22/3.04 % (4046434)Instruction limit reached!
% 9.22/3.04 % (4046434)------------------------------
% 9.22/3.04 % (4046434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.22/3.04 % (4046434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/3.04 % (4046434)CaDiCaL version: 2.1.3
% 9.22/3.04 % (4046434)Termination reason: Instruction limit
% 9.22/3.04 % (4046434)Termination phase: Saturation
% 9.22/3.04 % (4046434)Time elapsed: 0.239 s
% 9.22/3.04 % (4046434)Peak memory usage: 92 MB
% 9.22/3.04 % (4046434)Instructions burned: 439 (million)
% 9.22/3.04 % (4046587)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2836848256:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 9.22/3.04 % (4046394)Instruction limit reached!
% 9.22/3.04 % (4046394)------------------------------
% 9.22/3.04 % (4046394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.22/3.04 % (4046394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/3.04 % (4046394)CaDiCaL version: 2.1.3
% 9.22/3.04 % (4046394)Termination reason: Instruction limit
% 9.22/3.04 % (4046394)Termination phase: Saturation
% 9.22/3.04 % (4046394)Time elapsed: 0.503 s
% 9.22/3.04 % (4046394)Peak memory usage: 98 MB
% 9.22/3.04 % (4046394)Instructions burned: 908 (million)
% 9.22/3.04 % (4046587)Instruction limit reached!
% 9.22/3.04 % (4046587)------------------------------
% 9.22/3.04 % (4046587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.22/3.04 % (4046587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/3.04 % (4046587)CaDiCaL version: 2.1.3
% 9.22/3.04 % (4046587)Termination reason: Instruction limit
% 9.22/3.04 % (4046587)Termination phase: Saturation
% 9.22/3.04 % (4046587)Time elapsed: 0.075 s
% 9.22/3.04 % (4046587)Peak memory usage: 91 MB
% 9.22/3.04 % (4046587)Instructions burned: 135 (million)
% 9.22/3.04 % (4046659)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=973803418:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 9.22/3.04 % (4046659)Refutation not found, incomplete strategy
% 9.22/3.04 % (4046659)------------------------------
% 9.22/3.04 % (4046659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.22/3.04 % (4046659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/3.04 % (4046659)CaDiCaL version: 2.1.3
% 9.22/3.04 % (4046659)Termination reason: Refutation not found, incomplete strategy
% 9.22/3.04 % (4046659)Time elapsed: 0.007 s
% 9.22/3.04 % (4046659)Peak memory usage: 88 MB
% 9.22/3.04 % (4046659)Instructions burned: 10 (million)
% 9.22/3.04 % (4046679)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=40910006:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 9.22/3.04 % (4046659)------------------------------
% 9.22/3.04 % (4046659)------------------------------
% 9.22/3.04 % (4046116)First to succeed.
% 9.22/3.04 % (4046116)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4045993"
% 9.22/3.04 % (4046815)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1748406828:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 9.22/3.04 % (4046815)Instruction limit reached!
% 9.22/3.04 % (4046815)------------------------------
% 9.22/3.04 % (4046815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.22/3.04 % (4046815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/3.04 % (4046815)CaDiCaL version: 2.1.3
% 9.22/3.04 % (4046815)Termination reason: Instruction limit
% 9.22/3.04 % (4046815)Termination phase: Saturation
% 9.22/3.04 % (4046815)Time elapsed: 0.080 s
% 9.22/3.04 % (4046815)Peak memory usage: 90 MB
% 9.22/3.04 % (4046815)Instructions burned: 127 (million)
% 9.22/3.04 % (4046114)Also succeeded, but the first one will report.
% 9.22/3.04 % (4046905)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=682217370:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 9.22/3.04 % (4046277)Instruction limit reached!
% 9.22/3.04 % (4046277)------------------------------
% 9.22/3.04 % (4046277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.22/3.04 % (4046277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.22/3.04 % (4046277)CaDiCaL version: 2.1.3
% 9.22/3.04 % (4046277)Termination reason: Instruction limit
% 9.22/3.04 % (4046277)Termination phase: Saturation
% 9.22/3.04 % (4046277)Time elapsed: 1.540 s
% 9.22/3.04 % (4046277)Peak memory usage: 143 MB
% 9.22/3.04 % (4046277)Instructions burned: 2350 (million)
% 9.22/3.04 % (4046116)Refutation found. Thanks to Tanya!
% 9.22/3.04 % SZS status Theorem for theBenchmark
% 9.22/3.04 % SZS output start Proof for theBenchmark
% See solution above
% 15.99/3.23 % (4046116)------------------------------
% 15.99/3.23 % (4046116)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.99/3.23 % (4046116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.99/3.23 % (4046116)CaDiCaL version: 2.1.3
% 15.99/3.23 % (4046116)Termination reason: Refutation
% 15.99/3.23 % (4046116)Time elapsed: 1.722 s
% 15.99/3.23 % (4046116)Peak memory usage: 146 MB
% 15.99/3.23 % (4046116)Instructions burned: 2698 (million)
% 15.99/3.23 % (4046116)------------------------------
% 15.99/3.23 % (4046116)------------------------------
% 15.99/3.23 % (4045993)Success in time 2.188 s
% 15.99/3.23 % Vampire exiting
%------------------------------------------------------------------------------