%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT318+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 11:46:52 AM UTC 2026
% Result : Theorem 58.99s 18.75s
% Output : Refutation 126.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 56
% Number of leaves : 45
% Syntax : Number of formulae : 418 ( 66 unt; 13 def)
% Number of atoms : 1613 ( 156 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 2045 ( 850 ~; 959 |; 170 &)
% ( 16 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 39 ( 37 usr; 13 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 3 con; 0-3 aty)
% Number of variables : 356 ( 0 sgn 350 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,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,k20_filter_2(X0,X1,X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,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,k20_filter_2(X0,X1,X2))) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f19,axiom,
! [X0] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f22,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k7_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_filter_2) ).
fof(f26,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(f30,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f41,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))) )
=> m1_filter_0(k3_filter_0(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_filter_0) ).
fof(f45,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/sandbox2/benchmark/theBenchmark.p',dt_k4_subset_1) ).
fof(f47,axiom,
! [X0,X1,X2] :
( ( ~ 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)))
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k5_filter_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_filter_0) ).
fof(f48,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/sandbox2/benchmark/theBenchmark.p',dt_k7_filter_2) ).
fof(f50,axiom,
! [X0] :
( l1_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(f53,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f54,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(f58,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(f59,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_lattice4(X1,X0)
=> m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(f61,axiom,
! [X0] :
( l1_lattices(X0)
=> ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f63,axiom,
! [X0] :
( l2_lattices(X0)
=> ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f75,axiom,
! [X0,X1,X2] :
( ( ~ 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)))
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ~ v1_xboole_0(k5_filter_0(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_filter_0) ).
fof(f77,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f78,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f90,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(k2_xboole_0(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_xboole_0) ).
fof(f94,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f97,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X0 = X3
& X1 = X4
& X2 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f115,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0) )
=> k15_filter_2(X0,X1) = k7_filter_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(f117,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/sandbox2/benchmark/theBenchmark.p',redefinition_k3_filter_2) ).
fof(f120,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/sandbox2/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
fof(f121,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f122,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f124,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,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_filter_2) ).
fof(f131,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/sandbox2/benchmark/theBenchmark.p',t37_filter_2) ).
fof(f133,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))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
=> ! [X4] :
( ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
=> ( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) = k5_filter_0(X0,X1,X2)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_filter_2) ).
fof(f135,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ! [X2] :
( m1_filter_0(X2,X0)
=> k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k5_filter_0(X0,X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_filter_0) ).
fof(f154,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,k20_filter_2(X0,X1,X2)))
& m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f155,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,k20_filter_2(X0,X1,X2)))
& m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f154]) ).
fof(f156,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(f157,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f156]) ).
fof(f180,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f183,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,[],[f22]) ).
fof(f184,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,[],[f183]) ).
fof(f191,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f192,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f191]) ).
fof(f195,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f204,plain,
! [X0,X1] :
( m1_filter_0(k3_filter_0(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,[],[f41]) ).
fof(f205,plain,
! [X0,X1] :
( m1_filter_0(k3_filter_0(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,[],[f204]) ).
fof(f212,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,[],[f45]) ).
fof(f213,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,[],[f212]) ).
fof(f214,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_filter_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(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)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f47]) ).
fof(f215,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_filter_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(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)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f214]) ).
fof(f216,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,[],[f48]) ).
fof(f217,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,[],[f216]) ).
fof(f220,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f222,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f224,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f223]) ).
fof(f227,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,[],[f58]) ).
fof(f228,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,[],[f227]) ).
fof(f229,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,[],[f59]) ).
fof(f230,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,[],[f229]) ).
fof(f232,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,[],[f61]) ).
fof(f233,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,[],[f63]) ).
fof(f242,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(k5_filter_0(X0,X1,X2))
| 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)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f75]) ).
fof(f243,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(k5_filter_0(X0,X1,X2))
| 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)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f242]) ).
fof(f246,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f247,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f246]) ).
fof(f248,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f249,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f248]) ).
fof(f261,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_xboole_0(X1,X0))
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f268,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,[],[f94]) ).
fof(f269,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,[],[f268]) ).
fof(f274,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,[],[f97]) ).
fof(f275,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,[],[f274]) ).
fof(f283,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(ennf_transformation,[],[f115]) ).
fof(f284,plain,
! [X0,X1] :
( k15_filter_2(X0,X1) = k7_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(flattening,[],[f283]) ).
fof(f287,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,[],[f117]) ).
fof(f288,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,[],[f287]) ).
fof(f293,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,[],[f120]) ).
fof(f294,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,[],[f293]) ).
fof(f295,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f121]) ).
fof(f296,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f295]) ).
fof(f299,plain,
! [X0,X1,X2] :
( r1_filter_2(X0,X1,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f124]) ).
fof(f300,plain,
! [X0,X1,X2] :
( r1_filter_2(X0,X1,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f299]) ).
fof(f307,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,[],[f131]) ).
fof(f308,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,[],[f307]) ).
fof(f310,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) = k5_filter_0(X0,X1,X2)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4) )
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(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)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f133]) ).
fof(f311,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
& k20_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2)) = k5_filter_0(X0,X1,X2)
& k20_filter_2(k1_lattice2(X0),X3,X4) = k5_filter_0(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4))
& k20_filter_2(X0,k8_filter_2(X0,X3),k8_filter_2(X0,X4)) = k5_filter_0(k1_lattice2(X0),X3,X4) )
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(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)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f310]) ).
fof(f314,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k5_filter_0(X0,X1,X2))
| ~ m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f135]) ).
fof(f315,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k5_filter_0(X0,X1,X2))
| ~ m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f314]) ).
fof(f320,definition,
! [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)) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f321,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f269,f320]) ).
fof(f322,plain,
( ~ r1_filter_2(u1_struct_0(sK1),k19_filter_2(sK1,k4_subset_1(u1_struct_0(sK1),sK2,sK3)),k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)))
& m2_filter_2(sK3,sK1)
& m2_filter_2(sK2,sK1)
& ~ v3_struct_0(sK1)
& v10_lattices(sK1)
& l3_lattices(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f155]) ).
fof(f334,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)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f320]) ).
fof(f356,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f296]) ).
fof(f357,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,[],[f122]) ).
fof(f361,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f322]) ).
fof(f362,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f322]) ).
fof(f363,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f322]) ).
fof(f364,plain,
m2_filter_2(sK2,sK1),
inference(cnf_transformation,[],[f322]) ).
fof(f365,plain,
m2_filter_2(sK3,sK1),
inference(cnf_transformation,[],[f322]) ).
fof(f366,plain,
~ r1_filter_2(u1_struct_0(sK1),k19_filter_2(sK1,k4_subset_1(u1_struct_0(sK1),sK2,sK3)),k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3))),
inference(cnf_transformation,[],[f322]) ).
fof(f367,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f391,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f394,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f399,plain,
! [X0,X1] :
( m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f401,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f402,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f407,plain,
! [X0,X1] :
( m1_filter_0(k3_filter_0(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(cnf_transformation,[],[f205]) ).
fof(f411,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f213]) ).
fof(f412,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_filter_0(X0,X1,X2),k1_zfmisc_1(u1_struct_0(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)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f215]) ).
fof(f413,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(cnf_transformation,[],[f217]) ).
fof(f415,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f417,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f420,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f423,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,[],[f228]) ).
fof(f424,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f425,plain,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f427,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,[],[f232]) ).
fof(f428,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,[],[f232]) ).
fof(f429,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f430,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,[],[f233]) ).
fof(f431,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,[],[f233]) ).
fof(f432,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f444,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k5_filter_0(X0,X1,X2))
| 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)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f243]) ).
fof(f447,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f448,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f466,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_xboole_0(X1,X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f474,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f334]) ).
fof(f483,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f498,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 = X3
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f539,plain,
! [X0,X1] :
( k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f541,plain,
! [X0,X1] :
( k3_filter_0(X0,X1) = k3_filter_2(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(cnf_transformation,[],[f288]) ).
fof(f544,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f294]) ).
fof(f545,plain,
! [X0,X1] :
( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f547,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f357]) ).
fof(f551,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f300]) ).
fof(f562,plain,
! [X2,X0,X1] :
( k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
| 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(cnf_transformation,[],[f308]) ).
fof(f567,plain,
! [X2,X3,X0,X1,X4] :
( k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(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)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f569,plain,
! [X2,X0,X1] :
( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k5_filter_0(X0,X1,X2))
| ~ m1_filter_0(X2,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f315]) ).
fof(f579,plain,
( k7_filter_2(sK1,sK3) = k15_filter_2(sK1,sK3)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f365,f539]) ).
fof(f580,plain,
( m2_lattice4(sK3,sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f365,f423]) ).
fof(f581,plain,
( ~ v1_xboole_0(sK3)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f365,f424]) ).
fof(f582,plain,
( m1_filter_2(k15_filter_2(sK1,sK3),k1_lattice2(sK1))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f365,f399]) ).
fof(f583,plain,
( m1_filter_2(k15_filter_2(sK1,sK3),k1_lattice2(sK1))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f582,f363]) ).
fof(f584,plain,
( ~ v1_xboole_0(sK3)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f581,f363]) ).
fof(f585,plain,
( m2_lattice4(sK3,sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f580,f363]) ).
fof(f586,plain,
( k7_filter_2(sK1,sK3) = k15_filter_2(sK1,sK3)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f579,f363]) ).
fof(f587,plain,
( m1_filter_2(k15_filter_2(sK1,sK3),k1_lattice2(sK1))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f583,f362]) ).
fof(f588,plain,
( ~ v1_xboole_0(sK3)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f584,f362]) ).
fof(f589,plain,
( m2_lattice4(sK3,sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f585,f362]) ).
fof(f590,plain,
( k7_filter_2(sK1,sK3) = k15_filter_2(sK1,sK3)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f586,f362]) ).
fof(f591,plain,
m1_filter_2(k15_filter_2(sK1,sK3),k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[],[f587,f361]) ).
fof(f592,plain,
~ v1_xboole_0(sK3),
inference(forward_subsumption_resolution,[],[f588,f361]) ).
fof(f593,plain,
m2_lattice4(sK3,sK1),
inference(forward_subsumption_resolution,[],[f589,f361]) ).
fof(f594,plain,
k7_filter_2(sK1,sK3) = k15_filter_2(sK1,sK3),
inference(forward_subsumption_resolution,[],[f590,f361]) ).
fof(f595,plain,
( k7_filter_2(sK1,sK2) = k15_filter_2(sK1,sK2)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f364,f539]) ).
fof(f596,plain,
( m2_lattice4(sK2,sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f364,f423]) ).
fof(f597,plain,
( ~ v1_xboole_0(sK2)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f364,f424]) ).
fof(f600,plain,
( ~ v1_xboole_0(sK2)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f597,f363]) ).
fof(f601,plain,
( m2_lattice4(sK2,sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f596,f363]) ).
fof(f602,plain,
( k7_filter_2(sK1,sK2) = k15_filter_2(sK1,sK2)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f595,f363]) ).
fof(f604,plain,
( ~ v1_xboole_0(sK2)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f600,f362]) ).
fof(f605,plain,
( m2_lattice4(sK2,sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f601,f362]) ).
fof(f606,plain,
( k7_filter_2(sK1,sK2) = k15_filter_2(sK1,sK2)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f602,f362]) ).
fof(f608,plain,
~ v1_xboole_0(sK2),
inference(forward_subsumption_resolution,[],[f604,f361]) ).
fof(f609,plain,
m2_lattice4(sK2,sK1),
inference(forward_subsumption_resolution,[],[f605,f361]) ).
fof(f610,plain,
k7_filter_2(sK1,sK2) = k15_filter_2(sK1,sK2),
inference(forward_subsumption_resolution,[],[f606,f361]) ).
fof(f612,plain,
( ~ r1_filter_2(u1_struct_0(sK1),k19_filter_2(sK1,k2_xboole_0(sK2,sK3)),k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(superposition,[],[f366,f544]) ).
fof(f614,definition,
( spl35_1
<=> m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
introduced(definition,[new_symbols(definition,[spl35_1])],[avatar_definition]) ).
fof(f615,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| spl35_1 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f617,definition,
( spl35_2
<=> m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))) ),
introduced(definition,[new_symbols(definition,[spl35_2])],[avatar_definition]) ).
fof(f618,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| spl35_2 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f620,definition,
( spl35_3
<=> r1_filter_2(u1_struct_0(sK1),k19_filter_2(sK1,k2_xboole_0(sK2,sK3)),k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3))) ),
introduced(definition,[new_symbols(definition,[spl35_3])],[avatar_definition]) ).
fof(f621,plain,
( ~ r1_filter_2(u1_struct_0(sK1),k19_filter_2(sK1,k2_xboole_0(sK2,sK3)),k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)))
| spl35_3 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f622,plain,
( ~ spl35_1
| ~ spl35_2
| ~ spl35_3 ),
inference(avatar_split_clause,[],[f612,f620,f617,f614]) ).
fof(f630,definition,
( spl35_6
<=> v1_xboole_0(u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl35_6])],[avatar_definition]) ).
fof(f643,plain,
! [X0] :
( k7_filter_2(sK1,X0) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f362,f394]) ).
fof(f669,plain,
( sP0(sK1)
| v3_struct_0(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f362,f483]) ).
fof(f689,plain,
! [X0,X1] :
( k19_filter_2(sK1,X0) = k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,X0))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f362,f562]) ).
fof(f704,plain,
! [X0,X1] :
( k19_filter_2(sK1,X0) = k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,X0))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f689,f363]) ).
fof(f724,plain,
( sP0(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f669,f363]) ).
fof(f750,plain,
! [X0] :
( k7_filter_2(sK1,X0) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f643,f363]) ).
fof(f765,plain,
! [X0,X1] :
( k19_filter_2(sK1,X0) = k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,X0))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f704,f361]) ).
fof(f785,plain,
sP0(sK1),
inference(forward_subsumption_resolution,[],[f724,f361]) ).
fof(f811,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| k7_filter_2(sK1,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f750,f361]) ).
fof(f822,definition,
( spl35_8
<=> ! [X3] :
( v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1)))) ) ),
introduced(definition,[new_symbols(definition,[spl35_8])],[avatar_definition]) ).
fof(f823,plain,
( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(X3) )
| ~ spl35_8 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f844,definition,
( spl35_14
<=> ! [X0] :
( k19_filter_2(sK1,X0) = k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl35_14])],[avatar_definition]) ).
fof(f845,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| k19_filter_2(sK1,X0) = k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,X0))
| v1_xboole_0(X0) )
| ~ spl35_14 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f846,plain,
( spl35_8
| spl35_14 ),
inference(avatar_split_clause,[],[f765,f844,f822]) ).
fof(f874,plain,
k1_lattice2(sK1) = g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)),
inference(resolution,[],[f361,f391]) ).
fof(f880,plain,
l3_lattices(k1_lattice2(sK1)),
inference(resolution,[],[f361,f401]) ).
fof(f881,plain,
v3_lattices(k1_lattice2(sK1)),
inference(resolution,[],[f361,f402]) ).
fof(f888,plain,
l2_lattices(sK1),
inference(resolution,[],[f361,f417]) ).
fof(f889,plain,
l1_lattices(sK1),
inference(resolution,[],[f361,f418]) ).
fof(f904,plain,
( ~ v3_struct_0(k1_lattice2(sK1))
| v3_struct_0(sK1) ),
inference(resolution,[],[f361,f447]) ).
fof(f937,plain,
~ v3_struct_0(k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[],[f904,f363]) ).
fof(f994,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| ~ l1_struct_0(sK1) ),
inference(resolution,[],[f363,f448]) ).
fof(f1046,definition,
( spl35_20
<=> l1_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl35_20])],[avatar_definition]) ).
fof(f1047,plain,
( ~ l1_struct_0(sK1)
| spl35_20 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1060,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| spl35_6 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f1061,plain,
( ~ spl35_20
| ~ spl35_6 ),
inference(avatar_split_clause,[],[f994,f630,f1046]) ).
fof(f1086,plain,
( ~ m2_lattice4(sK3,sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl35_1 ),
inference(resolution,[],[f615,f425]) ).
fof(f1092,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl35_1 ),
inference(forward_subsumption_resolution,[],[f1086,f593]) ).
fof(f1094,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl35_1 ),
inference(forward_subsumption_resolution,[],[f1092,f363]) ).
fof(f1096,plain,
( ~ l3_lattices(sK1)
| spl35_1 ),
inference(forward_subsumption_resolution,[],[f1094,f362]) ).
fof(f1097,plain,
( $false
| spl35_1 ),
inference(forward_subsumption_resolution,[],[f1096,f361]) ).
fof(f1098,plain,
spl35_1,
inference(avatar_contradiction_clause,[],[f1097]) ).
fof(f1099,plain,
( ~ m2_lattice4(sK2,sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl35_2 ),
inference(resolution,[],[f618,f425]) ).
fof(f1105,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl35_2 ),
inference(forward_subsumption_resolution,[],[f1099,f609]) ).
fof(f1107,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl35_2 ),
inference(forward_subsumption_resolution,[],[f1105,f363]) ).
fof(f1109,plain,
( ~ l3_lattices(sK1)
| spl35_2 ),
inference(forward_subsumption_resolution,[],[f1107,f362]) ).
fof(f1110,plain,
( $false
| spl35_2 ),
inference(forward_subsumption_resolution,[],[f1109,f361]) ).
fof(f1111,plain,
spl35_2,
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1127,plain,
l1_struct_0(sK1),
inference(resolution,[],[f889,f415]) ).
fof(f1128,plain,
m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)),
inference(resolution,[],[f889,f427]) ).
fof(f1129,plain,
v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)),
inference(resolution,[],[f889,f428]) ).
fof(f1130,plain,
v1_funct_1(u1_lattices(sK1)),
inference(resolution,[],[f889,f429]) ).
fof(f1142,plain,
( $false
| spl35_20 ),
inference(forward_subsumption_resolution,[],[f1127,f1047]) ).
fof(f1143,plain,
spl35_20,
inference(avatar_contradiction_clause,[],[f1142]) ).
fof(f1149,plain,
m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)),
inference(resolution,[],[f888,f430]) ).
fof(f1150,plain,
v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)),
inference(resolution,[],[f888,f431]) ).
fof(f1151,plain,
v1_funct_1(u2_lattices(sK1)),
inference(resolution,[],[f888,f432]) ).
fof(f1163,plain,
( m1_filter_2(k7_filter_2(sK1,sK3),k1_lattice2(sK1))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m2_filter_2(sK3,sK1) ),
inference(superposition,[],[f399,f594]) ).
fof(f1164,plain,
( m1_filter_2(k7_filter_2(sK1,sK3),k1_lattice2(sK1))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m2_filter_2(sK3,sK1) ),
inference(forward_subsumption_resolution,[],[f1163,f363]) ).
fof(f1165,plain,
( m1_filter_2(k7_filter_2(sK1,sK3),k1_lattice2(sK1))
| ~ l3_lattices(sK1)
| ~ m2_filter_2(sK3,sK1) ),
inference(forward_subsumption_resolution,[],[f1164,f362]) ).
fof(f1166,plain,
( m1_filter_2(k7_filter_2(sK1,sK3),k1_lattice2(sK1))
| ~ m2_filter_2(sK3,sK1) ),
inference(forward_subsumption_resolution,[],[f1165,f361]) ).
fof(f1167,plain,
m1_filter_2(k7_filter_2(sK1,sK3),k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[],[f1166,f365]) ).
fof(f1168,plain,
( m1_filter_2(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m2_filter_2(sK2,sK1) ),
inference(superposition,[],[f399,f610]) ).
fof(f1169,plain,
( m1_filter_2(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m2_filter_2(sK2,sK1) ),
inference(forward_subsumption_resolution,[],[f1168,f363]) ).
fof(f1170,plain,
( m1_filter_2(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ l3_lattices(sK1)
| ~ m2_filter_2(sK2,sK1) ),
inference(forward_subsumption_resolution,[],[f1169,f362]) ).
fof(f1171,plain,
( m1_filter_2(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ m2_filter_2(sK2,sK1) ),
inference(forward_subsumption_resolution,[],[f1170,f361]) ).
fof(f1172,plain,
m1_filter_2(k7_filter_2(sK1,sK2),k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[],[f1171,f364]) ).
fof(f1173,plain,
v10_lattices(k1_lattice2(sK1)),
inference(resolution,[],[f785,f474]) ).
fof(f1202,plain,
( m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f609,f425]) ).
fof(f1203,plain,
( m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1202,f363]) ).
fof(f1204,plain,
( m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1203,f362]) ).
fof(f1205,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(forward_subsumption_resolution,[],[f1204,f361]) ).
fof(f1208,plain,
( sK2 = k7_filter_2(sK1,sK2)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f1205,f394]) ).
fof(f1268,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| k4_subset_1(u1_struct_0(sK1),sK2,X0) = k2_xboole_0(sK2,X0) ),
inference(resolution,[],[f1205,f544]) ).
fof(f1295,definition,
( spl35_25
<=> ! [X0] : ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
introduced(definition,[new_symbols(definition,[spl35_25])],[avatar_definition]) ).
fof(f1296,plain,
( ! [X0] : ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl35_25 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f1311,plain,
( sK2 = k7_filter_2(sK1,sK2)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1208,f363]) ).
fof(f1322,plain,
( sK2 = k7_filter_2(sK1,sK2)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1311,f362]) ).
fof(f1333,plain,
sK2 = k7_filter_2(sK1,sK2),
inference(forward_subsumption_resolution,[],[f1322,f361]) ).
fof(f1357,plain,
( m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(superposition,[],[f413,f1333]) ).
fof(f1363,plain,
! [X2,X0,X1] :
( k20_filter_2(sK1,sK2,X0) = k5_filter_0(k1_lattice2(sK1),sK2,k7_filter_2(sK1,X0))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(superposition,[],[f567,f1333]) ).
fof(f1365,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f593,f425]) ).
fof(f1366,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ spl35_25 ),
inference(forward_subsumption_resolution,[],[f1365,f1296]) ).
fof(f1367,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ spl35_25 ),
inference(forward_subsumption_resolution,[],[f1366,f363]) ).
fof(f1368,plain,
( ~ l3_lattices(sK1)
| ~ spl35_25 ),
inference(forward_subsumption_resolution,[],[f1367,f362]) ).
fof(f1369,plain,
( $false
| ~ spl35_25 ),
inference(forward_subsumption_resolution,[],[f1368,f361]) ).
fof(f1370,plain,
~ spl35_25,
inference(avatar_contradiction_clause,[],[f1369]) ).
fof(f1371,plain,
( m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1357,f363]) ).
fof(f1372,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1365,f363]) ).
fof(f1373,plain,
( m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1371,f362]) ).
fof(f1374,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1372,f362]) ).
fof(f1375,plain,
( m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1373,f361]) ).
fof(f1376,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(forward_subsumption_resolution,[],[f1374,f361]) ).
fof(f1377,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1)))),
inference(forward_subsumption_resolution,[],[f1375,f1205]) ).
fof(f1380,plain,
( sK3 = k7_filter_2(sK1,sK3)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f1376,f394]) ).
fof(f1480,plain,
( sK3 = k7_filter_2(sK1,sK3)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1380,f363]) ).
fof(f1491,plain,
( sK3 = k7_filter_2(sK1,sK3)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1480,f362]) ).
fof(f1502,plain,
sK3 = k7_filter_2(sK1,sK3),
inference(forward_subsumption_resolution,[],[f1491,f361]) ).
fof(f1526,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(superposition,[],[f413,f1502]) ).
fof(f1534,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1526,f363]) ).
fof(f1535,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ l3_lattices(sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1534,f362]) ).
fof(f1536,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1535,f361]) ).
fof(f1537,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1)))),
inference(forward_subsumption_resolution,[],[f1536,f1376]) ).
fof(f1538,plain,
( m1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(resolution,[],[f1172,f545]) ).
fof(f1546,plain,
( m1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(forward_subsumption_resolution,[],[f1538,f937]) ).
fof(f1549,plain,
( m1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(forward_subsumption_resolution,[],[f1546,f1173]) ).
fof(f1552,plain,
m1_filter_0(k7_filter_2(sK1,sK2),k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[],[f1549,f880]) ).
fof(f1555,plain,
m1_filter_0(sK2,k1_lattice2(sK1)),
inference(forward_demodulation,[],[f1552,f1333]) ).
fof(f1567,plain,
( m1_filter_0(k7_filter_2(sK1,sK3),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(resolution,[],[f1167,f545]) ).
fof(f1575,plain,
( m1_filter_0(k7_filter_2(sK1,sK3),k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(forward_subsumption_resolution,[],[f1567,f937]) ).
fof(f1578,plain,
( m1_filter_0(k7_filter_2(sK1,sK3),k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(forward_subsumption_resolution,[],[f1575,f1173]) ).
fof(f1581,plain,
m1_filter_0(k7_filter_2(sK1,sK3),k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[],[f1578,f880]) ).
fof(f1584,plain,
m1_filter_0(sK3,k1_lattice2(sK1)),
inference(forward_demodulation,[],[f1581,f1502]) ).
fof(f1586,plain,
! [X0] :
( k3_filter_0(k1_lattice2(sK1),k4_subset_1(u1_struct_0(k1_lattice2(sK1)),X0,sK3)) = k3_filter_0(k1_lattice2(sK1),k5_filter_0(k1_lattice2(sK1),X0,sK3))
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(resolution,[],[f1584,f569]) ).
fof(f1590,plain,
! [X0] :
( k3_filter_0(k1_lattice2(sK1),k4_subset_1(u1_struct_0(k1_lattice2(sK1)),X0,sK3)) = k3_filter_0(k1_lattice2(sK1),k5_filter_0(k1_lattice2(sK1),X0,sK3))
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(forward_subsumption_resolution,[],[f1586,f937]) ).
fof(f1592,plain,
! [X0] :
( k3_filter_0(k1_lattice2(sK1),k4_subset_1(u1_struct_0(k1_lattice2(sK1)),X0,sK3)) = k3_filter_0(k1_lattice2(sK1),k5_filter_0(k1_lattice2(sK1),X0,sK3))
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(forward_subsumption_resolution,[],[f1590,f1173]) ).
fof(f1594,plain,
! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| k3_filter_0(k1_lattice2(sK1),k4_subset_1(u1_struct_0(k1_lattice2(sK1)),X0,sK3)) = k3_filter_0(k1_lattice2(sK1),k5_filter_0(k1_lattice2(sK1),X0,sK3)) ),
inference(forward_subsumption_resolution,[],[f1592,f880]) ).
fof(f2099,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ m1_filter_0(X0,k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) )
| ~ spl35_8 ),
inference(resolution,[],[f823,f419]) ).
fof(f2119,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) )
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f2099,f420]) ).
fof(f2124,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) )
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f2119,f937]) ).
fof(f2128,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) )
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f2124,f1173]) ).
fof(f2130,plain,
( ! [X0] : ~ m1_filter_0(X0,k1_lattice2(sK1))
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f2128,f880]) ).
fof(f2133,plain,
( m1_filter_0(k15_filter_2(sK1,sK3),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(resolution,[],[f591,f545]) ).
fof(f2140,plain,
( v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f2133,f2130]) ).
fof(f2143,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f2140,f937]) ).
fof(f2146,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f2143,f1173]) ).
fof(f2149,plain,
( $false
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f2146,f880]) ).
fof(f2150,plain,
~ spl35_8,
inference(avatar_contradiction_clause,[],[f2149]) ).
fof(f2186,plain,
! [X2,X0,X1] :
( k20_filter_2(sK1,sK2,X0) = k5_filter_0(k1_lattice2(sK1),sK2,k7_filter_2(sK1,X0))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f1363,f608]) ).
fof(f2269,plain,
! [X2,X0,X1] :
( k20_filter_2(sK1,sK2,X0) = k5_filter_0(k1_lattice2(sK1),sK2,k7_filter_2(sK1,X0))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f2186,f1205]) ).
fof(f2352,plain,
! [X2,X0,X1] :
( k20_filter_2(sK1,sK2,X0) = k5_filter_0(k1_lattice2(sK1),sK2,k7_filter_2(sK1,X0))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f2269,f363]) ).
fof(f2420,plain,
! [X2,X0,X1] :
( k20_filter_2(sK1,sK2,X0) = k5_filter_0(k1_lattice2(sK1),sK2,k7_filter_2(sK1,X0))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f2352,f362]) ).
fof(f2445,plain,
! [X2,X0,X1] :
( k20_filter_2(sK1,sK2,X0) = k5_filter_0(k1_lattice2(sK1),sK2,k7_filter_2(sK1,X0))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f2420,f361]) ).
fof(f2462,definition,
( spl35_38
<=> ! [X0] :
( k20_filter_2(sK1,sK2,X0) = k5_filter_0(k1_lattice2(sK1),sK2,k7_filter_2(sK1,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl35_38])],[avatar_definition]) ).
fof(f2463,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| k20_filter_2(sK1,sK2,X0) = k5_filter_0(k1_lattice2(sK1),sK2,k7_filter_2(sK1,X0))
| v1_xboole_0(X0) )
| ~ spl35_38 ),
inference(avatar_component_clause,[],[f2462]) ).
fof(f2506,plain,
( spl35_8
| spl35_8
| spl35_38 ),
inference(avatar_split_clause,[],[f2445,f2462,f822,f822]) ).
fof(f2759,plain,
! [X0] : ~ v1_xboole_0(k2_xboole_0(X0,sK3)),
inference(resolution,[],[f592,f466]) ).
fof(f3090,definition,
( spl35_57
<=> m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl35_57])],[avatar_definition]) ).
fof(f3091,plain,
( ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl35_57 ),
inference(avatar_component_clause,[],[f3090]) ).
fof(f3154,plain,
( ~ m2_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl35_57 ),
inference(resolution,[],[f3091,f547]) ).
fof(f3155,plain,
( $false
| spl35_57 ),
inference(forward_subsumption_resolution,[],[f3154,f1128]) ).
fof(f3156,plain,
spl35_57,
inference(avatar_contradiction_clause,[],[f3155]) ).
fof(f3219,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(superposition,[],[f498,f874]) ).
fof(f3221,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f3219,f1130]) ).
fof(f3224,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f3221,f1129]) ).
fof(f3227,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f3224,f1151]) ).
fof(f3230,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f3227,f1150]) ).
fof(f3234,definition,
( spl35_72
<=> m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl35_72])],[avatar_definition]) ).
fof(f3235,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl35_72 ),
inference(avatar_component_clause,[],[f3234]) ).
fof(f3237,definition,
( spl35_73
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl35_73])],[avatar_definition]) ).
fof(f3238,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0 )
| ~ spl35_73 ),
inference(avatar_component_clause,[],[f3237]) ).
fof(f3239,plain,
( ~ spl35_72
| ~ spl35_57
| spl35_73 ),
inference(avatar_split_clause,[],[f3230,f3237,f3090,f3234]) ).
fof(f3248,plain,
( ~ m2_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl35_72 ),
inference(resolution,[],[f3235,f547]) ).
fof(f3249,plain,
( $false
| spl35_72 ),
inference(forward_subsumption_resolution,[],[f3248,f1149]) ).
fof(f3250,plain,
spl35_72,
inference(avatar_contradiction_clause,[],[f3249]) ).
fof(f3251,plain,
( ! [X0] :
( k1_lattice2(sK1) != X0
| u1_struct_0(X0) = u1_struct_0(sK1)
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl35_73 ),
inference(superposition,[],[f3238,f367]) ).
fof(f3836,plain,
( u1_struct_0(sK1) = u1_struct_0(k1_lattice2(sK1))
| ~ v3_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl35_73 ),
inference(equality_resolution,[],[f3251]) ).
fof(f3837,plain,
( u1_struct_0(sK1) = u1_struct_0(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f3836,f881]) ).
fof(f3838,plain,
( u1_struct_0(sK1) = u1_struct_0(k1_lattice2(sK1))
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f3837,f880]) ).
fof(f7696,plain,
( k20_filter_2(sK1,sK2,sK3) = k5_filter_0(k1_lattice2(sK1),sK2,k7_filter_2(sK1,sK3))
| v1_xboole_0(sK3)
| ~ spl35_38 ),
inference(resolution,[],[f2463,f1376]) ).
fof(f7703,plain,
( k20_filter_2(sK1,sK2,sK3) = k5_filter_0(k1_lattice2(sK1),sK2,k7_filter_2(sK1,sK3))
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f7696,f592]) ).
fof(f7715,plain,
( k20_filter_2(sK1,sK2,sK3) = k5_filter_0(k1_lattice2(sK1),sK2,sK3)
| ~ spl35_38 ),
inference(forward_demodulation,[],[f7703,f1502]) ).
fof(f7731,plain,
( ~ v1_xboole_0(k20_filter_2(sK1,sK2,sK3))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38 ),
inference(superposition,[],[f444,f7715]) ).
fof(f7732,plain,
( m1_subset_1(k20_filter_2(sK1,sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38 ),
inference(superposition,[],[f412,f7715]) ).
fof(f7733,plain,
( m1_subset_1(k20_filter_2(sK1,sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f7732,f937]) ).
fof(f7734,plain,
( ~ v1_xboole_0(k20_filter_2(sK1,sK2,sK3))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f7731,f937]) ).
fof(f7735,plain,
( m1_subset_1(k20_filter_2(sK1,sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ l3_lattices(k1_lattice2(sK1))
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f7733,f1173]) ).
fof(f7736,plain,
( ~ v1_xboole_0(k20_filter_2(sK1,sK2,sK3))
| ~ l3_lattices(k1_lattice2(sK1))
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f7734,f1173]) ).
fof(f7737,plain,
( m1_subset_1(k20_filter_2(sK1,sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f7735,f880]) ).
fof(f7738,plain,
( ~ v1_xboole_0(k20_filter_2(sK1,sK2,sK3))
| v1_xboole_0(sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f7736,f880]) ).
fof(f7739,plain,
( m1_subset_1(k20_filter_2(sK1,sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f7737,f608]) ).
fof(f7740,plain,
( ~ v1_xboole_0(k20_filter_2(sK1,sK2,sK3))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f7738,f608]) ).
fof(f7741,plain,
( m1_subset_1(k20_filter_2(sK1,sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f7739,f1377]) ).
fof(f7742,plain,
( ~ v1_xboole_0(k20_filter_2(sK1,sK2,sK3))
| v1_xboole_0(sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f7740,f1377]) ).
fof(f7743,plain,
( m1_subset_1(k20_filter_2(sK1,sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f7741,f592]) ).
fof(f7744,plain,
( ~ v1_xboole_0(k20_filter_2(sK1,sK2,sK3))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f7742,f592]) ).
fof(f7745,plain,
( m1_subset_1(k20_filter_2(sK1,sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f7743,f1537]) ).
fof(f7746,plain,
( ~ v1_xboole_0(k20_filter_2(sK1,sK2,sK3))
| ~ spl35_38 ),
inference(forward_subsumption_resolution,[],[f7744,f1537]) ).
fof(f7747,plain,
( m1_subset_1(k20_filter_2(sK1,sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_demodulation,[],[f7745,f3838]) ).
fof(f10439,plain,
( k20_filter_2(sK1,sK2,sK3) = k7_filter_2(sK1,k20_filter_2(sK1,sK2,sK3))
| ~ spl35_38
| ~ spl35_73 ),
inference(resolution,[],[f7747,f811]) ).
fof(f10443,plain,
( k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)) = k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)))
| v1_xboole_0(k20_filter_2(sK1,sK2,sK3))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(resolution,[],[f7747,f845]) ).
fof(f10596,plain,
( k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)) = k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f10443,f7746]) ).
fof(f10655,plain,
( k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)) = k3_filter_2(k1_lattice2(sK1),k20_filter_2(sK1,sK2,sK3))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_demodulation,[],[f10596,f10439]) ).
fof(f13269,plain,
k4_subset_1(u1_struct_0(sK1),sK2,sK3) = k2_xboole_0(sK2,sK3),
inference(resolution,[],[f1268,f1376]) ).
fof(f13293,plain,
( m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(superposition,[],[f411,f13269]) ).
fof(f13294,plain,
( m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f13293,f1205]) ).
fof(f13296,plain,
m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1))),
inference(forward_subsumption_resolution,[],[f13294,f1376]) ).
fof(f13316,plain,
k2_xboole_0(sK2,sK3) = k7_filter_2(sK1,k2_xboole_0(sK2,sK3)),
inference(resolution,[],[f13296,f811]) ).
fof(f13320,plain,
( k19_filter_2(sK1,k2_xboole_0(sK2,sK3)) = k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,k2_xboole_0(sK2,sK3)))
| v1_xboole_0(k2_xboole_0(sK2,sK3))
| ~ spl35_14 ),
inference(resolution,[],[f13296,f845]) ).
fof(f13479,plain,
( k19_filter_2(sK1,k2_xboole_0(sK2,sK3)) = k3_filter_2(k1_lattice2(sK1),k7_filter_2(sK1,k2_xboole_0(sK2,sK3)))
| ~ spl35_14 ),
inference(forward_subsumption_resolution,[],[f13320,f2759]) ).
fof(f13539,plain,
( k19_filter_2(sK1,k2_xboole_0(sK2,sK3)) = k3_filter_2(k1_lattice2(sK1),k2_xboole_0(sK2,sK3))
| ~ spl35_14 ),
inference(forward_demodulation,[],[f13479,f13316]) ).
fof(f16368,plain,
k3_filter_0(k1_lattice2(sK1),k4_subset_1(u1_struct_0(k1_lattice2(sK1)),sK2,sK3)) = k3_filter_0(k1_lattice2(sK1),k5_filter_0(k1_lattice2(sK1),sK2,sK3)),
inference(resolution,[],[f1594,f1555]) ).
fof(f16377,plain,
( k3_filter_0(k1_lattice2(sK1),k4_subset_1(u1_struct_0(k1_lattice2(sK1)),sK2,sK3)) = k3_filter_0(k1_lattice2(sK1),k20_filter_2(sK1,sK2,sK3))
| ~ spl35_38 ),
inference(forward_demodulation,[],[f16368,f7715]) ).
fof(f16389,plain,
( k3_filter_0(k1_lattice2(sK1),k20_filter_2(sK1,sK2,sK3)) = k3_filter_0(k1_lattice2(sK1),k4_subset_1(u1_struct_0(sK1),sK2,sK3))
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_demodulation,[],[f16377,f3838]) ).
fof(f16398,plain,
( k3_filter_0(k1_lattice2(sK1),k20_filter_2(sK1,sK2,sK3)) = k3_filter_0(k1_lattice2(sK1),k2_xboole_0(sK2,sK3))
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_demodulation,[],[f16389,f13269]) ).
fof(f16407,plain,
( k3_filter_2(k1_lattice2(sK1),k20_filter_2(sK1,sK2,sK3)) = k3_filter_0(k1_lattice2(sK1),k2_xboole_0(sK2,sK3))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| v1_xboole_0(k20_filter_2(sK1,sK2,sK3))
| ~ m1_subset_1(k20_filter_2(sK1,sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38
| ~ spl35_73 ),
inference(superposition,[],[f541,f16398]) ).
fof(f16410,plain,
( k3_filter_2(k1_lattice2(sK1),k20_filter_2(sK1,sK2,sK3)) = k3_filter_0(k1_lattice2(sK1),k2_xboole_0(sK2,sK3))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| v1_xboole_0(k20_filter_2(sK1,sK2,sK3))
| ~ m1_subset_1(k20_filter_2(sK1,sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16407,f937]) ).
fof(f16413,plain,
( k3_filter_2(k1_lattice2(sK1),k20_filter_2(sK1,sK2,sK3)) = k3_filter_0(k1_lattice2(sK1),k2_xboole_0(sK2,sK3))
| ~ l3_lattices(k1_lattice2(sK1))
| v1_xboole_0(k20_filter_2(sK1,sK2,sK3))
| ~ m1_subset_1(k20_filter_2(sK1,sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16410,f1173]) ).
fof(f16416,plain,
( k3_filter_2(k1_lattice2(sK1),k20_filter_2(sK1,sK2,sK3)) = k3_filter_0(k1_lattice2(sK1),k2_xboole_0(sK2,sK3))
| v1_xboole_0(k20_filter_2(sK1,sK2,sK3))
| ~ m1_subset_1(k20_filter_2(sK1,sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16413,f880]) ).
fof(f16419,plain,
( k3_filter_2(k1_lattice2(sK1),k20_filter_2(sK1,sK2,sK3)) = k3_filter_0(k1_lattice2(sK1),k2_xboole_0(sK2,sK3))
| ~ m1_subset_1(k20_filter_2(sK1,sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16416,f7746]) ).
fof(f16422,plain,
( k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)) = k3_filter_0(k1_lattice2(sK1),k2_xboole_0(sK2,sK3))
| ~ m1_subset_1(k20_filter_2(sK1,sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_demodulation,[],[f16419,f10655]) ).
fof(f16425,plain,
( ~ m1_subset_1(k20_filter_2(sK1,sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)) = k3_filter_0(k1_lattice2(sK1),k2_xboole_0(sK2,sK3))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_demodulation,[],[f16422,f3838]) ).
fof(f16427,plain,
( k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)) = k3_filter_0(k1_lattice2(sK1),k2_xboole_0(sK2,sK3))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16425,f7747]) ).
fof(f16430,plain,
( k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)) = k3_filter_2(k1_lattice2(sK1),k2_xboole_0(sK2,sK3))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| v1_xboole_0(k2_xboole_0(sK2,sK3))
| ~ m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(superposition,[],[f541,f16427]) ).
fof(f16431,plain,
( m1_filter_0(k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| v1_xboole_0(k2_xboole_0(sK2,sK3))
| ~ m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(superposition,[],[f407,f16427]) ).
fof(f16432,plain,
( m1_filter_0(k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)),k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| v1_xboole_0(k2_xboole_0(sK2,sK3))
| ~ m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16431,f937]) ).
fof(f16433,plain,
( k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)) = k3_filter_2(k1_lattice2(sK1),k2_xboole_0(sK2,sK3))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| v1_xboole_0(k2_xboole_0(sK2,sK3))
| ~ m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16430,f937]) ).
fof(f16435,plain,
( m1_filter_0(k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)),k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| v1_xboole_0(k2_xboole_0(sK2,sK3))
| ~ m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16432,f1173]) ).
fof(f16436,plain,
( k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)) = k3_filter_2(k1_lattice2(sK1),k2_xboole_0(sK2,sK3))
| ~ l3_lattices(k1_lattice2(sK1))
| v1_xboole_0(k2_xboole_0(sK2,sK3))
| ~ m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16433,f1173]) ).
fof(f16438,plain,
( m1_filter_0(k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)),k1_lattice2(sK1))
| v1_xboole_0(k2_xboole_0(sK2,sK3))
| ~ m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16435,f880]) ).
fof(f16439,plain,
( k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)) = k3_filter_2(k1_lattice2(sK1),k2_xboole_0(sK2,sK3))
| v1_xboole_0(k2_xboole_0(sK2,sK3))
| ~ m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16436,f880]) ).
fof(f16441,plain,
( m1_filter_0(k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)),k1_lattice2(sK1))
| ~ m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16438,f2759]) ).
fof(f16442,plain,
( k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)) = k3_filter_2(k1_lattice2(sK1),k2_xboole_0(sK2,sK3))
| ~ m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16439,f2759]) ).
fof(f16444,plain,
( ~ m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| m1_filter_0(k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)),k1_lattice2(sK1))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_demodulation,[],[f16441,f3838]) ).
fof(f16445,plain,
( k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)) = k19_filter_2(sK1,k2_xboole_0(sK2,sK3))
| ~ m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_demodulation,[],[f16442,f13539]) ).
fof(f16447,plain,
( m1_filter_0(k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)),k1_lattice2(sK1))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16444,f13296]) ).
fof(f16448,plain,
( ~ m1_subset_1(k2_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)) = k19_filter_2(sK1,k2_xboole_0(sK2,sK3))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_demodulation,[],[f16445,f3838]) ).
fof(f16450,plain,
( k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)) = k19_filter_2(sK1,k2_xboole_0(sK2,sK3))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16448,f13296]) ).
fof(f16459,plain,
( m1_subset_1(k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(resolution,[],[f16447,f419]) ).
fof(f16462,plain,
( m1_subset_1(k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16459,f937]) ).
fof(f16470,plain,
( m1_subset_1(k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16462,f1173]) ).
fof(f16475,plain,
( m1_subset_1(k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK1))))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f16470,f880]) ).
fof(f16479,plain,
( m1_subset_1(k19_filter_2(sK1,k20_filter_2(sK1,sK2,sK3)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_demodulation,[],[f16475,f3838]) ).
fof(f16482,plain,
( m1_subset_1(k19_filter_2(sK1,k2_xboole_0(sK2,sK3)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_demodulation,[],[f16479,f16450]) ).
fof(f16486,plain,
( ~ r1_filter_2(u1_struct_0(sK1),k19_filter_2(sK1,k2_xboole_0(sK2,sK3)),k19_filter_2(sK1,k2_xboole_0(sK2,sK3)))
| spl35_3
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(superposition,[],[f621,f16450]) ).
fof(f19992,plain,
( ! [X0] :
( r1_filter_2(u1_struct_0(sK1),k19_filter_2(sK1,k2_xboole_0(sK2,sK3)),k19_filter_2(sK1,k2_xboole_0(sK2,sK3)))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) )
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(resolution,[],[f16482,f551]) ).
fof(f20279,plain,
( ! [X0] :
( v1_xboole_0(u1_struct_0(sK1))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) )
| spl35_3
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f19992,f16486]) ).
fof(f20284,plain,
( ! [X0] : ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| spl35_3
| spl35_6
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(forward_subsumption_resolution,[],[f20279,f1060]) ).
fof(f20285,plain,
( spl35_25
| spl35_3
| spl35_6
| ~ spl35_14
| ~ spl35_38
| ~ spl35_73 ),
inference(avatar_split_clause,[],[f20284,f3237,f2462,f844,f630,f620,f1295]) ).
cnf(s1,plain,
( ~ spl35_1
| ~ spl35_2
| ~ spl35_3 ),
inference(sat_conversion,[],[f622]) ).
cnf(s11,plain,
( spl35_8
| spl35_14 ),
inference(sat_conversion,[],[f846]) ).
cnf(s18,plain,
( ~ spl35_6
| ~ spl35_20 ),
inference(sat_conversion,[],[f1061]) ).
cnf(s19,plain,
spl35_1,
inference(sat_conversion,[],[f1098]) ).
cnf(s20,plain,
spl35_2,
inference(sat_conversion,[],[f1111]) ).
cnf(s23,plain,
spl35_20,
inference(sat_conversion,[],[f1143]) ).
cnf(s25,plain,
~ spl35_25,
inference(sat_conversion,[],[f1370]) ).
cnf(s31,plain,
~ spl35_8,
inference(sat_conversion,[],[f2150]) ).
cnf(s78,plain,
( spl35_8
| spl35_8
| spl35_38 ),
inference(sat_conversion,[],[f2506]) ).
cnf(s79,plain,
( spl35_8
| spl35_38 ),
inference(rat,[],[s78]) ).
cnf(s116,plain,
spl35_57,
inference(sat_conversion,[],[f3156]) ).
cnf(s117,plain,
( ~ spl35_57
| ~ spl35_72
| spl35_73 ),
inference(sat_conversion,[],[f3239]) ).
cnf(s120,plain,
spl35_72,
inference(sat_conversion,[],[f3250]) ).
cnf(s503,plain,
( spl35_3
| spl35_6
| ~ spl35_14
| spl35_25
| ~ spl35_38
| ~ spl35_73 ),
inference(sat_conversion,[],[f20285]) ).
cnf(s624,plain,
( ~ spl35_57
| spl35_73 ),
inference(rat,[],[s117,s120]) ).
cnf(s627,plain,
spl35_73,
inference(rat,[],[s624,s116]) ).
cnf(s714,plain,
spl35_38,
inference(rat,[],[s79,s31]) ).
cnf(s815,plain,
~ spl35_6,
inference(rat,[],[s18,s23]) ).
cnf(s833,plain,
spl35_14,
inference(rat,[],[s11,s31]) ).
cnf(s840,plain,
spl35_3,
inference(rat,[],[s503,s627,s714,s25,s815,s833]) ).
cnf(s851,plain,
$false,
inference(rat,[],[s1,s840,s20,s19]) ).
fof(f20286,plain,
$false,
inference(avatar_sat_refutation,[],[s851]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT318+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n011.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 27 14:33:45 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.65/3.22 % (2490209)Detected formulas, will run a generic FOF schedule.
% 15.65/3.22 % (2490230)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3795215236:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.65/3.22 % (2490229)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2759157432:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.65/3.22 % (2490229)Refutation not found, incomplete strategy
% 15.65/3.22 % (2490229)------------------------------
% 15.65/3.22 % (2490229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/3.22 % (2490229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/3.22 % (2490229)CaDiCaL version: 2.1.3
% 15.65/3.22 % (2490229)Termination reason: Refutation not found, incomplete strategy
% 15.65/3.22 % (2490229)Time elapsed: 0.002 s
% 15.65/3.22 % (2490229)Peak memory usage: 88 MB
% 15.65/3.22 % (2490229)Instructions burned: 2 (million)
% 15.65/3.22 % (2490232)dis-21_1_sil=8000:lcm=predicate:random_seed=2077096361: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)
% 15.65/3.22 % (2490226)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=4246443661:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.65/3.22 % (2490231)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=921791839:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.65/3.22 % (2490227)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=4087351992:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.65/3.22 % (2490228)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=692176624:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.65/3.22 % (2490230)Instruction limit reached!
% 15.65/3.22 % (2490230)------------------------------
% 15.65/3.22 % (2490230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/3.22 % (2490230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/3.22 % (2490230)CaDiCaL version: 2.1.3
% 15.65/3.22 % (2490230)Termination reason: Instruction limit
% 15.65/3.22 % (2490230)Termination phase: Saturation
% 15.65/3.22 % (2490230)Time elapsed: 0.074 s
% 15.65/3.22 % (2490230)Peak memory usage: 89 MB
% 15.65/3.22 % (2490230)Instructions burned: 120 (million)
% 15.65/3.22 % (2490232)Instruction limit reached!
% 15.65/3.22 % (2490232)------------------------------
% 15.65/3.22 % (2490232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/3.22 % (2490232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/3.22 % (2490232)CaDiCaL version: 2.1.3
% 15.65/3.22 % (2490232)Termination reason: Instruction limit
% 15.65/3.22 % (2490232)Termination phase: Saturation
% 15.65/3.22 % (2490232)Time elapsed: 0.120 s
% 15.65/3.22 % (2490232)Peak memory usage: 93 MB
% 15.65/3.22 % (2490232)Instructions burned: 129 (million)
% 15.65/3.22 % (2490231)Instruction limit reached!
% 15.65/3.22 % (2490231)------------------------------
% 15.65/3.22 % (2490231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/3.22 % (2490231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.65/3.22 % (2490231)CaDiCaL version: 2.1.3
% 15.65/3.22 % (2490231)Termination reason: Instruction limit
% 15.65/3.22 % (2490231)Termination phase: Saturation
% 15.65/3.22 % (2490231)Time elapsed: 0.142 s
% 15.65/3.22 % (2490231)Peak memory usage: 90 MB
% 15.65/3.22 % (2490231)Instructions burned: 140 (million)
% 15.65/3.22 % (2490229)------------------------------
% 15.65/3.22 % (2490229)------------------------------
% 15.65/3.22 % (2490242)lrs+10_1_sil=8000:sp=occurrence:random_seed=1259721073:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 15.65/3.22 % (2490243)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2598028295:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 15.65/3.22 % (2490243)Refutation not found, incomplete strategy
% 15.65/3.22 % (2490243)------------------------------
% 15.65/3.22 % (2490243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.65/3.22 % (2490243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.81 % (2490243)CaDiCaL version: 2.1.3
% 26.35/4.81 % (2490243)Termination reason: Refutation not found, incomplete strategy
% 26.35/4.81 % (2490243)Time elapsed: 0.006 s
% 26.35/4.81 % (2490243)Peak memory usage: 89 MB
% 26.35/4.81 % (2490243)Instructions burned: 6 (million)
% 26.35/4.81 % (2490244)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3977477336:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 26.35/4.81 % (2490244)Refutation not found, incomplete strategy
% 26.35/4.81 % (2490244)------------------------------
% 26.35/4.81 % (2490244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.35/4.81 % (2490244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.81 % (2490244)CaDiCaL version: 2.1.3
% 26.35/4.81 % (2490244)Termination reason: Refutation not found, incomplete strategy
% 26.35/4.81 % (2490244)Time elapsed: 0.006 s
% 26.35/4.81 % (2490244)Peak memory usage: 88 MB
% 26.35/4.81 % (2490244)Instructions burned: 4 (million)
% 26.35/4.81 % (2490245)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=1213595394:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 26.35/4.81 % (2490242)Instruction limit reached!
% 26.35/4.81 % (2490242)------------------------------
% 26.35/4.81 % (2490242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.35/4.81 % (2490242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.81 % (2490242)CaDiCaL version: 2.1.3
% 26.35/4.81 % (2490242)Termination reason: Instruction limit
% 26.35/4.81 % (2490242)Termination phase: Saturation
% 26.35/4.81 % (2490242)Time elapsed: 0.284 s
% 26.35/4.81 % (2490242)Peak memory usage: 92 MB
% 26.35/4.81 % (2490242)Instructions burned: 285 (million)
% 26.35/4.81 % (2490243)------------------------------
% 26.35/4.81 % (2490243)------------------------------
% 26.35/4.81 % (2490245)Instruction limit reached!
% 26.35/4.81 % (2490245)------------------------------
% 26.35/4.81 % (2490245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.35/4.81 % (2490245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.81 % (2490245)CaDiCaL version: 2.1.3
% 26.35/4.81 % (2490245)Termination reason: Instruction limit
% 26.35/4.81 % (2490245)Termination phase: Saturation
% 26.35/4.81 % (2490245)Time elapsed: 0.202 s
% 26.35/4.81 % (2490245)Peak memory usage: 91 MB
% 26.35/4.81 % (2490245)Instructions burned: 249 (million)
% 26.35/4.81 % (2490254)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2833833588:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 26.35/4.81 % (2490254)Refutation not found, incomplete strategy
% 26.35/4.81 % (2490254)------------------------------
% 26.35/4.81 % (2490254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.35/4.81 % (2490254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.81 % (2490254)CaDiCaL version: 2.1.3
% 26.35/4.81 % (2490254)Termination reason: Refutation not found, incomplete strategy
% 26.35/4.81 % (2490254)Time elapsed: 0.007 s
% 26.35/4.81 % (2490254)Peak memory usage: 88 MB
% 26.35/4.81 % (2490254)Instructions burned: 6 (million)
% 26.35/4.81 % (2490256)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4028604092:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 26.35/4.81 % (2490255)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2061966244:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 26.35/4.81 % (2490244)------------------------------
% 26.35/4.81 % (2490244)------------------------------
% 26.35/4.81 % (2490256)Instruction limit reached!
% 26.35/4.81 % (2490256)------------------------------
% 26.35/4.81 % (2490256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.35/4.81 % (2490256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.35/4.81 % (2490256)CaDiCaL version: 2.1.3
% 26.35/4.81 % (2490256)Termination reason: Instruction limit
% 26.35/4.81 % (2490256)Termination phase: Saturation
% 26.35/4.81 % (2490256)Time elapsed: 0.058 s
% 26.35/4.81 % (2490256)Peak memory usage: 91 MB
% 26.35/4.81 % (2490256)Instructions burned: 114 (million)
% 26.35/4.81 % (2490263)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2373497888:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 26.35/4.81 % (2490263)Instruction limit reached!
% 26.35/4.81 % (2490263)------------------------------
% 26.35/4.81 % (2490263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.74/10.48 % (2490263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.74/10.48 % (2490263)CaDiCaL version: 2.1.3
% 66.74/10.48 % (2490263)Termination reason: Instruction limit
% 66.74/10.48 % (2490263)Termination phase: Saturation
% 66.74/10.48 % (2490263)Time elapsed: 0.056 s
% 66.74/10.48 % (2490263)Peak memory usage: 89 MB
% 66.74/10.48 % (2490263)Instructions burned: 115 (million)
% 66.74/10.48 % (2490262)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3600723348:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 66.74/10.48 % (2490254)------------------------------
% 66.74/10.48 % (2490254)------------------------------
% 66.74/10.48 % (2490262)Instruction limit reached!
% 66.74/10.48 % (2490262)------------------------------
% 66.74/10.48 % (2490262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.74/10.48 % (2490262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.74/10.48 % (2490262)CaDiCaL version: 2.1.3
% 66.74/10.48 % (2490262)Termination reason: Instruction limit
% 66.74/10.48 % (2490262)Termination phase: Saturation
% 66.74/10.48 % (2490262)Time elapsed: 0.112 s
% 66.74/10.48 % (2490262)Peak memory usage: 89 MB
% 66.74/10.48 % (2490262)Instructions burned: 127 (million)
% 66.74/10.48 % (2490265)lrs+10_1_sil=8000:sp=occurrence:random_seed=1611989373:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 66.74/10.48 % (2490267)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=403307460:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 66.74/10.48 % (2490267)Refutation not found, incomplete strategy
% 66.74/10.48 % (2490267)------------------------------
% 66.74/10.48 % (2490267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.74/10.48 % (2490267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.74/10.48 % (2490267)CaDiCaL version: 2.1.3
% 66.74/10.48 % (2490267)Termination reason: Refutation not found, incomplete strategy
% 66.74/10.48 % (2490267)Time elapsed: 0.017 s
% 66.74/10.48 % (2490267)Peak memory usage: 89 MB
% 66.74/10.48 % (2490267)Instructions burned: 15 (million)
% 66.74/10.48 % (2490268)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1300847127:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 66.74/10.48 % (2490265)Instruction limit reached!
% 66.74/10.48 % (2490265)------------------------------
% 66.74/10.48 % (2490265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.74/10.48 % (2490265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.74/10.48 % (2490265)CaDiCaL version: 2.1.3
% 66.74/10.48 % (2490265)Termination reason: Instruction limit
% 66.74/10.48 % (2490265)Termination phase: Saturation
% 66.74/10.48 % (2490265)Time elapsed: 0.419 s
% 66.74/10.48 % (2490265)Peak memory usage: 96 MB
% 66.74/10.48 % (2490265)Instructions burned: 908 (million)
% 66.74/10.48 % (2490267)------------------------------
% 66.74/10.48 % (2490267)------------------------------
% 66.74/10.48 % (2490274)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2224217565:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 66.74/10.48 % (2490274)Instruction limit reached!
% 66.74/10.48 % (2490274)------------------------------
% 66.74/10.48 % (2490274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.74/10.48 % (2490274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.74/10.48 % (2490274)CaDiCaL version: 2.1.3
% 66.74/10.48 % (2490274)Termination reason: Instruction limit
% 66.74/10.48 % (2490274)Termination phase: Saturation
% 66.74/10.48 % (2490274)Time elapsed: 0.126 s
% 66.74/10.48 % (2490274)Peak memory usage: 91 MB
% 66.74/10.48 % (2490274)Instructions burned: 136 (million)
% 66.74/10.48 % (2490277)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2598494253:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 66.74/10.48 % (2490277)Refutation not found, incomplete strategy
% 66.74/10.48 % (2490277)------------------------------
% 66.74/10.48 % (2490277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.74/10.48 % (2490277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.74/10.48 % (2490277)CaDiCaL version: 2.1.3
% 66.74/10.48 % (2490277)Termination reason: Refutation not found, incomplete strategy
% 66.74/10.48 % (2490277)Time elapsed: 0.013 s
% 66.74/10.48 % (2490277)Peak memory usage: 88 MB
% 66.74/10.48 % (2490277)Instructions burned: 13 (million)
% 94.32/14.33 % (2490280)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2372839332:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 94.32/14.33 % (2490277)------------------------------
% 94.32/14.33 % (2490277)------------------------------
% 94.32/14.33 % (2490255)Instruction limit reached!
% 94.32/14.33 % (2490255)------------------------------
% 94.32/14.33 % (2490255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.32/14.33 % (2490255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.32/14.33 % (2490255)CaDiCaL version: 2.1.3
% 94.32/14.33 % (2490255)Termination reason: Instruction limit
% 94.32/14.33 % (2490255)Termination phase: Saturation
% 94.32/14.33 % (2490255)Time elapsed: 1.720 s
% 94.32/14.33 % (2490255)Peak memory usage: 141 MB
% 94.32/14.33 % (2490255)Instructions burned: 2351 (million)
% 94.32/14.33 % (2490282)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=1615836620:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 94.32/14.33 % (2490283)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1042220433:i=134:gtgl=5:slsql=off:gtg=exists_sym_2973 on theBenchmark for (2973ds/134Mi)
% 94.32/14.33 % (2490283)Instruction limit reached!
% 94.32/14.33 % (2490283)------------------------------
% 94.32/14.33 % (2490283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.32/14.33 % (2490283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.32/14.33 % (2490283)CaDiCaL version: 2.1.3
% 94.32/14.33 % (2490283)Termination reason: Instruction limit
% 94.32/14.33 % (2490283)Termination phase: Saturation
% 94.32/14.33 % (2490283)Time elapsed: 0.071 s
% 94.32/14.33 % (2490283)Peak memory usage: 91 MB
% 94.32/14.33 % (2490283)Instructions burned: 134 (million)
% 94.32/14.33 % (2490282)Instruction limit reached!
% 94.32/14.33 % (2490282)------------------------------
% 94.32/14.33 % (2490282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.32/14.33 % (2490282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.32/14.33 % (2490282)CaDiCaL version: 2.1.3
% 94.32/14.33 % (2490282)Termination reason: Instruction limit
% 94.32/14.33 % (2490282)Termination phase: Saturation
% 94.32/14.33 % (2490282)Time elapsed: 0.130 s
% 94.32/14.33 % (2490282)Peak memory usage: 90 MB
% 94.32/14.33 % (2490282)Instructions burned: 125 (million)
% 94.32/14.33 % (2490286)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2609632098:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/141Mi)
% 94.32/14.33 % (2490286)Refutation not found, incomplete strategy
% 94.32/14.33 % (2490286)------------------------------
% 94.32/14.33 % (2490286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.32/14.33 % (2490286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.32/14.33 % (2490286)CaDiCaL version: 2.1.3
% 94.32/14.33 % (2490286)Termination reason: Refutation not found, incomplete strategy
% 94.32/14.33 % (2490286)Time elapsed: 0.003 s
% 94.32/14.33 % (2490286)Peak memory usage: 88 MB
% 94.32/14.33 % (2490286)Instructions burned: 4 (million)
% 94.32/14.33 % (2490287)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=359656126:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 94.32/14.33 % (2490286)------------------------------
% 94.32/14.33 % (2490286)------------------------------
% 94.32/14.33 % (2490290)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2672219824:i=6060:aac=none:ins=25_2967 on theBenchmark for (2967ds/6060Mi)
% 94.32/14.33 % (2490287)Instruction limit reached!
% 94.32/14.33 % (2490287)------------------------------
% 94.32/14.33 % (2490287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.32/14.33 % (2490287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.32/14.33 % (2490287)CaDiCaL version: 2.1.3
% 94.32/14.33 % (2490287)Termination reason: Instruction limit
% 94.32/14.33 % (2490287)Termination phase: Saturation
% 94.32/14.33 % (2490287)Time elapsed: 0.381 s
% 94.32/14.33 % (2490287)Peak memory usage: 93 MB
% 94.32/14.33 % (2490287)Instructions burned: 431 (million)
% 94.32/14.33 % (2490292)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=243514226:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2964 on theBenchmark for (2964ds/150Mi)
% 58.99/18.75 % (2490292)Instruction limit reached!
% 58.99/18.75 % (2490292)------------------------------
% 58.99/18.75 % (2490292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.99/18.75 % (2490292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.99/18.75 % (2490292)CaDiCaL version: 2.1.3
% 58.99/18.75 % (2490292)Termination reason: Instruction limit
% 58.99/18.75 % (2490292)Termination phase: Saturation
% 58.99/18.75 % (2490292)Time elapsed: 0.161 s
% 58.99/18.75 % (2490292)Peak memory usage: 91 MB
% 58.99/18.75 % (2490292)Instructions burned: 150 (million)
% 58.99/18.75 % (2490294)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3468019493:i=14155:bd=all_2960 on theBenchmark for (2960ds/14155Mi)
% 58.99/18.75 % (2490268)Instruction limit reached!
% 58.99/18.75 % (2490268)------------------------------
% 58.99/18.75 % (2490268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.99/18.75 % (2490268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.99/18.75 % (2490268)CaDiCaL version: 2.1.3
% 58.99/18.75 % (2490268)Termination reason: Instruction limit
% 58.99/18.75 % (2490268)Termination phase: Saturation
% 58.99/18.75 % (2490268)Time elapsed: 5.050 s
% 58.99/18.75 % (2490268)Peak memory usage: 156 MB
% 58.99/18.75 % (2490268)Instructions burned: 5202 (million)
% 58.99/18.75 % (2490300)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2288924484:i=667:av=off:fsr=off_2933 on theBenchmark for (2933ds/667Mi)
% 58.99/18.75 % (2490300)Instruction limit reached!
% 58.99/18.75 % (2490300)------------------------------
% 58.99/18.75 % (2490300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.99/18.75 % (2490300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.99/18.75 % (2490300)CaDiCaL version: 2.1.3
% 58.99/18.75 % (2490300)Termination reason: Instruction limit
% 58.99/18.75 % (2490300)Termination phase: Saturation
% 58.99/18.75 % (2490300)Time elapsed: 0.526 s
% 58.99/18.75 % (2490300)Peak memory usage: 95 MB
% 58.99/18.75 % (2490300)Instructions burned: 667 (million)
% 58.99/18.75 % (2490304)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=315790671:s2a=on:i=185:s2at=1.8:fdi=4_2926 on theBenchmark for (2926ds/185Mi)
% 58.99/18.75 % (2490304)Instruction limit reached!
% 58.99/18.75 % (2490304)------------------------------
% 58.99/18.75 % (2490304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.99/18.75 % (2490304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.99/18.75 % (2490304)CaDiCaL version: 2.1.3
% 58.99/18.75 % (2490304)Termination reason: Instruction limit
% 58.99/18.75 % (2490304)Termination phase: Saturation
% 58.99/18.75 % (2490304)Time elapsed: 0.172 s
% 58.99/18.75 % (2490304)Peak memory usage: 91 MB
% 58.99/18.75 % (2490304)Instructions burned: 186 (million)
% 58.99/18.75 % (2490308)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3472576008:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2922 on theBenchmark for (2922ds/193Mi)
% 58.99/18.75 % (2490308)Instruction limit reached!
% 58.99/18.75 % (2490308)------------------------------
% 58.99/18.75 % (2490308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.99/18.75 % (2490308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.99/18.75 % (2490308)CaDiCaL version: 2.1.3
% 58.99/18.75 % (2490308)Termination reason: Instruction limit
% 58.99/18.75 % (2490308)Termination phase: Saturation
% 58.99/18.75 % (2490308)Time elapsed: 0.180 s
% 58.99/18.75 % (2490308)Peak memory usage: 91 MB
% 58.99/18.75 % (2490308)Instructions burned: 193 (million)
% 58.99/18.75 % (2490310)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=747378179:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2917 on theBenchmark for (2917ds/4850Mi)
% 58.99/18.75 % (2490290)Instruction limit reached!
% 58.99/18.75 % (2490290)------------------------------
% 58.99/18.75 % (2490290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.99/18.75 % (2490290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.99/18.75 % (2490290)CaDiCaL version: 2.1.3
% 58.99/18.75 % (2490290)Termination reason: Instruction limit
% 58.99/18.75 % (2490290)Termination phase: Saturation
% 58.99/18.75 % (2490290)Time elapsed: 5.919 s
% 58.99/18.75 % (2490290)Peak memory usage: 161 MB
% 58.99/18.75 % (2490290)Instructions burned: 6060 (million)
% 58.99/18.75 % (2490280)Instruction limit reached!
% 58.99/18.75 % (2490280)------------------------------
% 58.99/18.75 % (2490280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.99/18.75 % (2490280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.99/18.75 % (2490280)CaDiCaL version: 2.1.3
% 58.99/18.75 % (2490280)Termination reason: Instruction limit
% 58.99/18.75 % (2490280)Termination phase: Saturation
% 58.99/18.75 % (2490280)Time elapsed: 7.225 s
% 58.99/18.75 % (2490280)Peak memory usage: 231 MB
% 58.99/18.75 % (2490280)Instructions burned: 13193 (million)
% 58.99/18.75 % (2490314)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3555704566:i=12111:sd=1:ss=included_2905 on theBenchmark for (2905ds/12111Mi)
% 58.99/18.75 % (2490315)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=564680269:i=319:kws=precedence:fsr=off_2904 on theBenchmark for (2904ds/319Mi)
% 58.99/18.75 % (2490315)Instruction limit reached!
% 58.99/18.75 % (2490315)------------------------------
% 58.99/18.75 % (2490315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.99/18.75 % (2490315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.99/18.75 % (2490315)CaDiCaL version: 2.1.3
% 58.99/18.75 % (2490315)Termination reason: Instruction limit
% 58.99/18.75 % (2490315)Termination phase: Saturation
% 58.99/18.75 % (2490315)Time elapsed: 0.180 s
% 58.99/18.75 % (2490315)Peak memory usage: 91 MB
% 58.99/18.75 % (2490315)Instructions burned: 320 (million)
% 58.99/18.75 % (2490320)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3909858346:i=2064:ep=RST_2901 on theBenchmark for (2901ds/2064Mi)
% 58.99/18.75 % (2490320)Instruction limit reached!
% 58.99/18.75 % (2490320)------------------------------
% 58.99/18.75 % (2490320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.99/18.75 % (2490320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.99/18.75 % (2490320)CaDiCaL version: 2.1.3
% 58.99/18.75 % (2490320)Termination reason: Instruction limit
% 58.99/18.75 % (2490320)Termination phase: Saturation
% 58.99/18.75 % (2490320)Time elapsed: 0.940 s
% 58.99/18.75 % (2490320)Peak memory usage: 112 MB
% 58.99/18.75 % (2490320)Instructions burned: 2066 (million)
% 58.99/18.75 % (2490322)dis-1011_128_sil=32000:random_seed=3341734508:i=3706:ep=RST:av=off_2890 on theBenchmark for (2890ds/3706Mi)
% 58.99/18.75 % (2490310)Instruction limit reached!
% 58.99/18.75 % (2490310)------------------------------
% 58.99/18.75 % (2490310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.99/18.75 % (2490310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.99/18.75 % (2490310)CaDiCaL version: 2.1.3
% 58.99/18.75 % (2490310)Termination reason: Instruction limit
% 58.99/18.75 % (2490310)Termination phase: Saturation
% 58.99/18.75 % (2490310)Time elapsed: 3.621 s
% 58.99/18.75 % (2490310)Peak memory usage: 117 MB
% 58.99/18.75 % (2490310)Instructions burned: 4851 (million)
% 58.99/18.75 % (2490326)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3039294239:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2879 on theBenchmark for (2879ds/757Mi)
% 58.99/18.75 % (2490322)Instruction limit reached!
% 58.99/18.75 % (2490322)------------------------------
% 58.99/18.75 % (2490322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.99/18.75 % (2490322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.99/18.75 % (2490322)CaDiCaL version: 2.1.3
% 58.99/18.75 % (2490322)Termination reason: Instruction limit
% 58.99/18.75 % (2490322)Termination phase: Saturation
% 58.99/18.75 % (2490322)Time elapsed: 1.946 s
% 58.99/18.75 % (2490322)Peak memory usage: 112 MB
% 58.99/18.75 % (2490322)Instructions burned: 3707 (million)
% 58.99/18.75 % (2490326)Instruction limit reached!
% 58.99/18.75 % (2490326)------------------------------
% 58.99/18.75 % (2490326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.99/18.75 % (2490326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.99/18.75 % (2490326)CaDiCaL version: 2.1.3
% 58.99/18.75 % (2490326)Termination reason: Instruction limit
% 58.99/18.75 % (2490326)Termination phase: Saturation
% 58.99/18.75 % (2490326)Time elapsed: 0.834 s
% 58.99/18.75 % (2490326)Peak memory usage: 94 MB
% 58.99/18.75 % (2490326)Instructions burned: 757 (million)
% 58.99/18.75 % (2490328)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1607167693:i=13913:ss=axioms:sgt=8_2868 on theBenchmark for (2868ds/13913Mi)
% 58.99/18.75 % (2490329)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2022415010:i=9925:aac=none_2868 on theBenchmark for (2868ds/9925Mi)
% 58.99/18.75 % (2490329)First to succeed.
% 58.99/18.75 % (2490329)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2490209"
% 58.99/18.75 % (2490294)Instruction limit reached!
% 58.99/18.75 % (2490294)------------------------------
% 58.99/18.75 % (2490294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.99/18.75 % (2490294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.99/18.75 % (2490294)CaDiCaL version: 2.1.3
% 58.99/18.75 % (2490294)Termination reason: Instruction limit
% 58.99/18.75 % (2490294)Termination phase: Saturation
% 58.99/18.75 % (2490294)Time elapsed: 13.016 s
% 58.99/18.75 % (2490294)Peak memory usage: 213 MB
% 58.99/18.75 % (2490294)Instructions burned: 14155 (million)
% 58.99/18.75 % (2490334)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1019251577:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2828 on theBenchmark for (2828ds/2479Mi)
% 58.99/18.75 % (2490334)Refutation not found, incomplete strategy
% 58.99/18.75 % (2490334)------------------------------
% 58.99/18.75 % (2490334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.99/18.75 % (2490334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.99/18.75 % (2490334)CaDiCaL version: 2.1.3
% 58.99/18.75 % (2490334)Termination reason: Refutation not found, incomplete strategy
% 58.99/18.75 % (2490334)Time elapsed: 0.010 s
% 58.99/18.75 % (2490334)Peak memory usage: 89 MB
% 58.99/18.75 % (2490334)Instructions burned: 8 (million)
% 58.99/18.75 % (2490329)Refutation found. Thanks to Tanya!
% 58.99/18.75 % SZS status Theorem for theBenchmark
% 58.99/18.75 % SZS output start Proof for theBenchmark
% See solution above
% 126.21/18.93 % (2490329)------------------------------
% 126.21/18.93 % (2490329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.21/18.93 % (2490329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.21/18.93 % (2490329)CaDiCaL version: 2.1.3
% 126.21/18.93 % (2490329)Termination reason: Refutation
% 126.21/18.93 % (2490329)Time elapsed: 3.831 s
% 126.21/18.93 % (2490329)Peak memory usage: 154 MB
% 126.21/18.93 % (2490329)Instructions burned: 3862 (million)
% 126.21/18.93 % (2490329)------------------------------
% 126.21/18.93 % (2490329)------------------------------
% 126.21/18.93 % (2490209)Success in time 17.676 s
% 126.21/18.93 % Vampire exiting
%------------------------------------------------------------------------------