%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT320+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 : n003.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 11:46:53 AM UTC 2026
% Result : Theorem 50.13s 14.15s
% Output : Refutation 94.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 57
% Syntax : Number of formulae : 481 ( 75 unt; 21 def)
% Number of atoms : 1900 ( 194 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 2363 ( 944 ~;1043 |; 292 &)
% ( 26 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 54 ( 52 usr; 20 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 3 con; 0-3 aty)
% Number of variables : 420 ( 0 sgn 411 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_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)),k21_filter_2(X0,X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_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)),k21_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(f13,axiom,
! [X0] :
( l3_lattices(X0)
=> ( ( ~ v3_struct_0(X0)
& v17_lattices(X0) )
=> ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_lattices) ).
fof(f24,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(f27,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(f28,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
=> k8_filter_2(X0,X1) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_filter_2) ).
fof(f31,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(f35,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,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0)
& m2_filter_2(X2,X0) )
=> m2_filter_2(k21_filter_2(X0,X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k21_filter_2) ).
fof(f52,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(f60,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f61,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f62,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(f63,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
=> ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_filter_2) ).
fof(f66,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(f67,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(f69,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(f71,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(f85,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(f86,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(f98,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(f99,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_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))
& v11_lattices(k1_lattice2(X0))
& v12_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_filter_2) ).
fof(f103,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(f106,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(f125,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f128,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(f129,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v11_lattices(X0)
& l3_lattices(X0)
& m2_filter_2(X1,X0)
& m2_filter_2(X2,X0) )
=> k21_filter_2(X0,X1,X2) = k20_filter_2(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k21_filter_2) ).
fof(f131,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(f135,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(f136,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0)
& m1_filter_0(X1,X0)
& m1_filter_0(X2,X0) )
=> k7_filter_0(X0,X1,X2) = k5_filter_0(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k7_filter_0) ).
fof(f137,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(f138,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(f139,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(f147,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(f149,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(f151,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_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)) = k7_filter_0(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_filter_0) ).
fof(f168,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_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))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) ) ),
inference(pure_predicate_removal,[],[f99]) ).
fof(f173,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k21_filter_2(X0,X1,X2))
& m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f174,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k21_filter_2(X0,X1,X2))
& m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& v17_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f173]) ).
fof(f175,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(f176,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f175]) ).
fof(f191,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f192,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v11_lattices(X0)
& v13_lattices(X0)
& v14_lattices(X0)
& v15_lattices(X0)
& v16_lattices(X0) )
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f191]) ).
fof(f209,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f212,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,[],[f27]) ).
fof(f213,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,[],[f212]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0)))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f214]) ).
fof(f220,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,[],[f31]) ).
fof(f221,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,[],[f220]) ).
fof(f224,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f229,plain,
! [X0,X1,X2] :
( m2_filter_2(k21_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f230,plain,
! [X0,X1,X2] :
( m2_filter_2(k21_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(flattening,[],[f229]) ).
fof(f245,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,[],[f52]) ).
fof(f246,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,[],[f245]) ).
fof(f256,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f257,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f258,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,[],[f62]) ).
fof(f259,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,[],[f258]) ).
fof(f260,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m1_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f261,plain,
! [X0] :
( ! [X1] :
( ( ~ v1_xboole_0(X1)
& m2_lattice4(X1,X0) )
| ~ m1_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f260]) ).
fof(f262,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,[],[f66]) ).
fof(f263,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,[],[f262]) ).
fof(f264,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,[],[f67]) ).
fof(f265,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,[],[f264]) ).
fof(f267,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,[],[f69]) ).
fof(f268,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,[],[f71]) ).
fof(f281,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f282,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f281]) ).
fof(f283,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f284,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f283]) ).
fof(f296,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_xboole_0(X1,X0))
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f297,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))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f168]) ).
fof(f298,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))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f297]) ).
fof(f305,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,[],[f103]) ).
fof(f306,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,[],[f305]) ).
fof(f311,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,[],[f106]) ).
fof(f312,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,[],[f311]) ).
fof(f318,plain,
! [X0] :
( ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f125]) ).
fof(f319,plain,
! [X0] :
( ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X1) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f318]) ).
fof(f320,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,[],[f128]) ).
fof(f321,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,[],[f320]) ).
fof(f322,plain,
! [X0,X1,X2] :
( k21_filter_2(X0,X1,X2) = k20_filter_2(X0,X1,X2)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(ennf_transformation,[],[f129]) ).
fof(f323,plain,
! [X0,X1,X2] :
( k21_filter_2(X0,X1,X2) = k20_filter_2(X0,X1,X2)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(flattening,[],[f322]) ).
fof(f326,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,[],[f131]) ).
fof(f327,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,[],[f326]) ).
fof(f334,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,[],[f135]) ).
fof(f335,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,[],[f334]) ).
fof(f336,plain,
! [X0,X1,X2] :
( k7_filter_0(X0,X1,X2) = k5_filter_0(X0,X1,X2)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ m1_filter_0(X2,X0) ),
inference(ennf_transformation,[],[f136]) ).
fof(f337,plain,
! [X0,X1,X2] :
( k7_filter_0(X0,X1,X2) = k5_filter_0(X0,X1,X2)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ m1_filter_0(X2,X0) ),
inference(flattening,[],[f336]) ).
fof(f338,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,[],[f137]) ).
fof(f339,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,[],[f338]) ).
fof(f340,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f139]) ).
fof(f341,plain,
! [X0,X1,X2] :
( ( r1_filter_2(X0,X1,X2)
<=> X1 = X2 )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f340]) ).
fof(f350,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,[],[f147]) ).
fof(f351,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,[],[f350]) ).
fof(f353,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,[],[f149]) ).
fof(f354,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,[],[f353]) ).
fof(f357,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k7_filter_0(X0,X1,X2)
| ~ m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f151]) ).
fof(f358,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k7_filter_0(X0,X1,X2)
| ~ m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f357]) ).
fof(f363,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))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f364,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f298,f363]) ).
fof(f365,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)) )
| ~ sP1(X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f366,plain,
! [X0] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f306,f365]) ).
fof(f367,plain,
( ~ r1_filter_2(u1_struct_0(sK2),k19_filter_2(sK2,k4_subset_1(u1_struct_0(sK2),sK3,sK4)),k21_filter_2(sK2,sK3,sK4))
& m2_filter_2(sK4,sK2)
& m2_filter_2(sK3,sK2)
& ~ v3_struct_0(sK2)
& v10_lattices(sK2)
& v17_lattices(sK2)
& l3_lattices(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f174]) ).
fof(f379,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))
& v11_lattices(k1_lattice2(X0))
& v13_lattices(k1_lattice2(X0))
& v14_lattices(k1_lattice2(X0))
& v15_lattices(k1_lattice2(X0))
& v16_lattices(k1_lattice2(X0))
& v17_lattices(k1_lattice2(X0)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f363]) ).
fof(f380,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)) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f365]) ).
fof(f403,plain,
! [X0] :
( ( m1_subset_1(sK36(X0),k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(sK36(X0)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(X1,sK36(X0))],[f319]) ).
fof(f406,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,[],[f339]) ).
fof(f407,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,[],[f138]) ).
fof(f408,plain,
! [X0,X1,X2] :
( ( ( r1_filter_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_filter_2(X0,X1,X2) ) )
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f341]) ).
fof(f411,plain,
l3_lattices(sK2),
inference(cnf_transformation,[],[f367]) ).
fof(f412,plain,
v17_lattices(sK2),
inference(cnf_transformation,[],[f367]) ).
fof(f413,plain,
v10_lattices(sK2),
inference(cnf_transformation,[],[f367]) ).
fof(f414,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f367]) ).
fof(f415,plain,
m2_filter_2(sK3,sK2),
inference(cnf_transformation,[],[f367]) ).
fof(f416,plain,
m2_filter_2(sK4,sK2),
inference(cnf_transformation,[],[f367]) ).
fof(f417,plain,
~ r1_filter_2(u1_struct_0(sK2),k19_filter_2(sK2,k4_subset_1(u1_struct_0(sK2),sK3,sK4)),k21_filter_2(sK2,sK3,sK4)),
inference(cnf_transformation,[],[f367]) ).
fof(f418,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f443,plain,
! [X0] :
( v11_lattices(X0)
| v3_struct_0(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f463,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f466,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,[],[f213]) ).
fof(f467,plain,
! [X0,X1] :
( k8_filter_2(X0,X1) = X1
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f471,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,[],[f221]) ).
fof(f473,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f474,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f477,plain,
! [X2,X0,X1] :
( m2_filter_2(k21_filter_2(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f485,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,[],[f246]) ).
fof(f491,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f492,plain,
! [X0] :
( l2_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f493,plain,
! [X0] :
( l1_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f494,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,[],[f259]) ).
fof(f497,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ m1_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f498,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,[],[f263]) ).
fof(f499,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,[],[f263]) ).
fof(f500,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,[],[f265]) ).
fof(f502,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,[],[f267]) ).
fof(f503,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,[],[f267]) ).
fof(f504,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f505,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,[],[f268]) ).
fof(f506,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,[],[f268]) ).
fof(f507,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f522,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f523,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f541,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_xboole_0(X1,X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f542,plain,
! [X0] :
( v17_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f379]) ).
fof(f557,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f565,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f380]) ).
fof(f574,plain,
! [X0] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f366]) ).
fof(f589,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,[],[f312]) ).
fof(f671,plain,
! [X0] :
( ~ v1_xboole_0(sK36(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f403]) ).
fof(f672,plain,
! [X0] :
( m1_subset_1(sK36(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f403]) ).
fof(f686,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,[],[f321]) ).
fof(f687,plain,
! [X2,X0,X1] :
( k21_filter_2(X0,X1,X2) = k20_filter_2(X0,X1,X2)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v11_lattices(X0)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0)
| ~ m2_filter_2(X2,X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f689,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,[],[f327]) ).
fof(f693,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,[],[f335]) ).
fof(f694,plain,
! [X2,X0,X1] :
( k5_filter_0(X0,X1,X2) = k7_filter_0(X0,X1,X2)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| ~ m1_filter_0(X2,X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f695,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,[],[f406]) ).
fof(f697,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f407]) ).
fof(f700,plain,
! [X2,X0,X1] :
( r1_filter_2(X0,X1,X2)
| X1 != X2
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f408]) ).
fof(f709,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f351]) ).
fof(f714,plain,
! [X2,X3,X0,X1,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(cnf_transformation,[],[f354]) ).
fof(f719,plain,
! [X2,X0,X1] :
( k7_filter_0(X0,X1,X2) = k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2))
| ~ m1_filter_0(X2,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v17_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f727,plain,
! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(equality_resolution,[],[f700]) ).
fof(f728,plain,
! [X2,X0] :
( r1_filter_2(X0,X2,X2)
| v1_xboole_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(duplicate_literal_removal,[],[f727]) ).
fof(f729,plain,
( m1_filter_2(k15_filter_2(sK2,sK4),k1_lattice2(sK2))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f416,f471]) ).
fof(f731,plain,
! [X0] :
( m2_filter_2(k21_filter_2(sK2,X0,sK4),sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ v11_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m2_filter_2(X0,sK2) ),
inference(resolution,[],[f416,f477]) ).
fof(f732,plain,
( m2_lattice4(sK4,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f416,f498]) ).
fof(f733,plain,
( ~ v1_xboole_0(sK4)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f416,f499]) ).
fof(f734,plain,
( k15_filter_2(sK2,sK4) = k7_filter_2(sK2,sK4)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f416,f686]) ).
fof(f736,plain,
! [X0] :
( k21_filter_2(sK2,X0,sK4) = k20_filter_2(sK2,X0,sK4)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ v11_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m2_filter_2(X0,sK2) ),
inference(resolution,[],[f416,f687]) ).
fof(f737,plain,
! [X0] :
( k21_filter_2(sK2,X0,sK4) = k20_filter_2(sK2,X0,sK4)
| ~ v10_lattices(sK2)
| ~ v11_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m2_filter_2(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f736,f414]) ).
fof(f739,plain,
( k15_filter_2(sK2,sK4) = k7_filter_2(sK2,sK4)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f734,f414]) ).
fof(f740,plain,
( ~ v1_xboole_0(sK4)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f733,f414]) ).
fof(f741,plain,
( m2_lattice4(sK4,sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f732,f414]) ).
fof(f742,plain,
! [X0] :
( m2_filter_2(k21_filter_2(sK2,X0,sK4),sK2)
| ~ v10_lattices(sK2)
| ~ v11_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m2_filter_2(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f731,f414]) ).
fof(f744,plain,
( m1_filter_2(k15_filter_2(sK2,sK4),k1_lattice2(sK2))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f729,f414]) ).
fof(f745,plain,
! [X0] :
( k21_filter_2(sK2,X0,sK4) = k20_filter_2(sK2,X0,sK4)
| ~ v11_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m2_filter_2(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f737,f413]) ).
fof(f747,plain,
( k15_filter_2(sK2,sK4) = k7_filter_2(sK2,sK4)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f739,f413]) ).
fof(f748,plain,
( ~ v1_xboole_0(sK4)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f740,f413]) ).
fof(f749,plain,
( m2_lattice4(sK4,sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f741,f413]) ).
fof(f750,plain,
! [X0] :
( m2_filter_2(k21_filter_2(sK2,X0,sK4),sK2)
| ~ v11_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m2_filter_2(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f742,f413]) ).
fof(f752,plain,
( m1_filter_2(k15_filter_2(sK2,sK4),k1_lattice2(sK2))
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f744,f413]) ).
fof(f753,plain,
! [X0] :
( k21_filter_2(sK2,X0,sK4) = k20_filter_2(sK2,X0,sK4)
| ~ v11_lattices(sK2)
| ~ m2_filter_2(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f745,f411]) ).
fof(f755,plain,
k15_filter_2(sK2,sK4) = k7_filter_2(sK2,sK4),
inference(forward_subsumption_resolution,[],[f747,f411]) ).
fof(f756,plain,
~ v1_xboole_0(sK4),
inference(forward_subsumption_resolution,[],[f748,f411]) ).
fof(f757,plain,
m2_lattice4(sK4,sK2),
inference(forward_subsumption_resolution,[],[f749,f411]) ).
fof(f758,plain,
! [X0] :
( m2_filter_2(k21_filter_2(sK2,X0,sK4),sK2)
| ~ v11_lattices(sK2)
| ~ m2_filter_2(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f750,f411]) ).
fof(f760,plain,
m1_filter_2(k15_filter_2(sK2,sK4),k1_lattice2(sK2)),
inference(forward_subsumption_resolution,[],[f752,f411]) ).
fof(f762,definition,
( spl40_1
<=> v11_lattices(sK2) ),
introduced(definition,[new_symbols(definition,[spl40_1])],[avatar_definition]) ).
fof(f763,plain,
( ~ v11_lattices(sK2)
| spl40_1 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f765,definition,
( spl40_2
<=> ! [X0] :
( k21_filter_2(sK2,X0,sK4) = k20_filter_2(sK2,X0,sK4)
| ~ m2_filter_2(X0,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl40_2])],[avatar_definition]) ).
fof(f766,plain,
( ! [X0] :
( ~ m2_filter_2(X0,sK2)
| k21_filter_2(sK2,X0,sK4) = k20_filter_2(sK2,X0,sK4) )
| ~ spl40_2 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f767,plain,
( ~ spl40_1
| spl40_2 ),
inference(avatar_split_clause,[],[f753,f765,f762]) ).
fof(f773,definition,
( spl40_4
<=> ! [X0] :
( m2_filter_2(k21_filter_2(sK2,X0,sK4),sK2)
| ~ m2_filter_2(X0,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl40_4])],[avatar_definition]) ).
fof(f774,plain,
( ! [X0] :
( m2_filter_2(k21_filter_2(sK2,X0,sK4),sK2)
| ~ m2_filter_2(X0,sK2) )
| ~ spl40_4 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f775,plain,
( ~ spl40_1
| spl40_4 ),
inference(avatar_split_clause,[],[f758,f773,f762]) ).
fof(f780,plain,
m1_filter_2(k7_filter_2(sK2,sK4),k1_lattice2(sK2)),
inference(forward_demodulation,[],[f760,f755]) ).
fof(f781,plain,
( m1_filter_2(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f415,f471]) ).
fof(f784,plain,
( m2_lattice4(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f415,f498]) ).
fof(f786,plain,
( k15_filter_2(sK2,sK3) = k7_filter_2(sK2,sK3)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f415,f686]) ).
fof(f789,plain,
( k15_filter_2(sK2,sK3) = k7_filter_2(sK2,sK3)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f786,f414]) ).
fof(f791,plain,
( m2_lattice4(sK3,sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f784,f414]) ).
fof(f792,plain,
( m1_filter_2(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f781,f414]) ).
fof(f793,plain,
( k15_filter_2(sK2,sK3) = k7_filter_2(sK2,sK3)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f789,f413]) ).
fof(f795,plain,
( m2_lattice4(sK3,sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f791,f413]) ).
fof(f796,plain,
( m1_filter_2(k15_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f792,f413]) ).
fof(f797,plain,
k15_filter_2(sK2,sK3) = k7_filter_2(sK2,sK3),
inference(forward_subsumption_resolution,[],[f793,f411]) ).
fof(f799,plain,
m2_lattice4(sK3,sK2),
inference(forward_subsumption_resolution,[],[f795,f411]) ).
fof(f800,plain,
m1_filter_2(k15_filter_2(sK2,sK3),k1_lattice2(sK2)),
inference(forward_subsumption_resolution,[],[f796,f411]) ).
fof(f801,plain,
m1_filter_2(k7_filter_2(sK2,sK3),k1_lattice2(sK2)),
inference(forward_demodulation,[],[f800,f797]) ).
fof(f804,plain,
( ~ r1_filter_2(u1_struct_0(sK2),k19_filter_2(sK2,k4_subset_1(u1_struct_0(sK2),sK3,sK4)),k20_filter_2(sK2,sK3,sK4))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ v11_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m2_filter_2(sK3,sK2)
| ~ m2_filter_2(sK4,sK2) ),
inference(superposition,[],[f417,f687]) ).
fof(f806,definition,
( spl40_6
<=> m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl40_6])],[avatar_definition]) ).
fof(f807,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| spl40_6 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f809,definition,
( spl40_7
<=> m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl40_7])],[avatar_definition]) ).
fof(f810,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| spl40_7 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f822,definition,
( spl40_11
<=> v1_xboole_0(u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl40_11])],[avatar_definition]) ).
fof(f859,plain,
! [X0] :
( m2_lattice4(X0,sK2)
| ~ m2_filter_2(X0,sK2)
| v3_struct_0(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f413,f498]) ).
fof(f870,plain,
( sP0(sK2)
| v3_struct_0(sK2)
| ~ v17_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f413,f557]) ).
fof(f871,plain,
( sP1(sK2)
| v3_struct_0(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f413,f574]) ).
fof(f930,plain,
( sP1(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f871,f414]) ).
fof(f931,plain,
( sP0(sK2)
| ~ v17_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f870,f414]) ).
fof(f942,plain,
! [X0] :
( m2_lattice4(X0,sK2)
| ~ m2_filter_2(X0,sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f859,f414]) ).
fof(f994,plain,
sP1(sK2),
inference(forward_subsumption_resolution,[],[f930,f411]) ).
fof(f995,plain,
( sP0(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f931,f412]) ).
fof(f1006,plain,
! [X0] :
( ~ m2_filter_2(X0,sK2)
| m2_lattice4(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f942,f411]) ).
fof(f1045,definition,
( spl40_16
<=> ! [X3] :
( v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK2))) ) ),
introduced(definition,[new_symbols(definition,[spl40_16])],[avatar_definition]) ).
fof(f1046,plain,
( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(sK2)))
| v1_xboole_0(X3) )
| ~ spl40_16 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f1072,plain,
sP0(sK2),
inference(forward_subsumption_resolution,[],[f995,f411]) ).
fof(f1095,plain,
( v11_lattices(sK2)
| v3_struct_0(sK2)
| ~ v17_lattices(sK2) ),
inference(resolution,[],[f411,f443]) ).
fof(f1104,plain,
k1_lattice2(sK2) = g3_lattices(u1_struct_0(sK2),u1_lattices(sK2),u2_lattices(sK2)),
inference(resolution,[],[f411,f463]) ).
fof(f1110,plain,
l3_lattices(k1_lattice2(sK2)),
inference(resolution,[],[f411,f473]) ).
fof(f1111,plain,
v3_lattices(k1_lattice2(sK2)),
inference(resolution,[],[f411,f474]) ).
fof(f1121,plain,
l2_lattices(sK2),
inference(resolution,[],[f411,f492]) ).
fof(f1122,plain,
l1_lattices(sK2),
inference(resolution,[],[f411,f493]) ).
fof(f1137,plain,
( ~ v3_struct_0(k1_lattice2(sK2))
| v3_struct_0(sK2) ),
inference(resolution,[],[f411,f522]) ).
fof(f1174,plain,
~ v3_struct_0(k1_lattice2(sK2)),
inference(forward_subsumption_resolution,[],[f1137,f414]) ).
fof(f1176,plain,
( v3_struct_0(sK2)
| ~ v17_lattices(sK2)
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f1095,f763]) ).
fof(f1193,plain,
( ~ v17_lattices(sK2)
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f1176,f414]) ).
fof(f1215,plain,
( $false
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f1193,f412]) ).
fof(f1216,plain,
spl40_1,
inference(avatar_contradiction_clause,[],[f1215]) ).
fof(f1226,plain,
( ~ r1_filter_2(u1_struct_0(sK2),k19_filter_2(sK2,k4_subset_1(u1_struct_0(sK2),sK3,sK4)),k20_filter_2(sK2,sK3,sK4))
| ~ v10_lattices(sK2)
| ~ v11_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m2_filter_2(sK3,sK2)
| ~ m2_filter_2(sK4,sK2) ),
inference(forward_subsumption_resolution,[],[f804,f414]) ).
fof(f1235,plain,
( v11_lattices(sK2)
| ~ v17_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f1095,f414]) ).
fof(f1240,plain,
( ~ r1_filter_2(u1_struct_0(sK2),k19_filter_2(sK2,k4_subset_1(u1_struct_0(sK2),sK3,sK4)),k20_filter_2(sK2,sK3,sK4))
| ~ v11_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ m2_filter_2(sK3,sK2)
| ~ m2_filter_2(sK4,sK2) ),
inference(forward_subsumption_resolution,[],[f1226,f413]) ).
fof(f1249,plain,
v11_lattices(sK2),
inference(forward_subsumption_resolution,[],[f1235,f412]) ).
fof(f1254,plain,
( ~ r1_filter_2(u1_struct_0(sK2),k19_filter_2(sK2,k4_subset_1(u1_struct_0(sK2),sK3,sK4)),k20_filter_2(sK2,sK3,sK4))
| ~ v11_lattices(sK2)
| ~ m2_filter_2(sK3,sK2)
| ~ m2_filter_2(sK4,sK2) ),
inference(forward_subsumption_resolution,[],[f1240,f411]) ).
fof(f1279,plain,
( ~ r1_filter_2(u1_struct_0(sK2),k19_filter_2(sK2,k4_subset_1(u1_struct_0(sK2),sK3,sK4)),k20_filter_2(sK2,sK3,sK4))
| ~ m2_filter_2(sK3,sK2)
| ~ m2_filter_2(sK4,sK2) ),
inference(forward_subsumption_resolution,[],[f1254,f1249]) ).
fof(f1280,plain,
( ~ r1_filter_2(u1_struct_0(sK2),k19_filter_2(sK2,k4_subset_1(u1_struct_0(sK2),sK3,sK4)),k20_filter_2(sK2,sK3,sK4))
| ~ m2_filter_2(sK4,sK2) ),
inference(forward_subsumption_resolution,[],[f1279,f415]) ).
fof(f1281,plain,
~ r1_filter_2(u1_struct_0(sK2),k19_filter_2(sK2,k4_subset_1(u1_struct_0(sK2),sK3,sK4)),k20_filter_2(sK2,sK3,sK4)),
inference(forward_subsumption_resolution,[],[f1280,f416]) ).
fof(f1292,plain,
( ~ r1_filter_2(u1_struct_0(sK2),k19_filter_2(sK2,k2_xboole_0(sK3,sK4)),k20_filter_2(sK2,sK3,sK4))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[],[f1281,f693]) ).
fof(f1360,plain,
( ~ v1_xboole_0(u1_struct_0(sK2))
| ~ l1_struct_0(sK2) ),
inference(resolution,[],[f414,f523]) ).
fof(f1416,definition,
( spl40_34
<=> l1_struct_0(sK2) ),
introduced(definition,[new_symbols(definition,[spl40_34])],[avatar_definition]) ).
fof(f1417,plain,
( ~ l1_struct_0(sK2)
| spl40_34 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1430,plain,
( ~ v1_xboole_0(u1_struct_0(sK2))
| spl40_11 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f1431,plain,
( ~ spl40_34
| ~ spl40_11 ),
inference(avatar_split_clause,[],[f1360,f822,f1416]) ).
fof(f1456,plain,
( ~ m2_lattice4(sK4,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl40_6 ),
inference(resolution,[],[f807,f500]) ).
fof(f1462,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl40_6 ),
inference(forward_subsumption_resolution,[],[f1456,f757]) ).
fof(f1464,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl40_6 ),
inference(forward_subsumption_resolution,[],[f1462,f414]) ).
fof(f1466,plain,
( ~ l3_lattices(sK2)
| spl40_6 ),
inference(forward_subsumption_resolution,[],[f1464,f413]) ).
fof(f1467,plain,
( $false
| spl40_6 ),
inference(forward_subsumption_resolution,[],[f1466,f411]) ).
fof(f1468,plain,
spl40_6,
inference(avatar_contradiction_clause,[],[f1467]) ).
fof(f1469,plain,
( ~ m2_lattice4(sK3,sK2)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl40_7 ),
inference(resolution,[],[f810,f500]) ).
fof(f1475,plain,
( v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl40_7 ),
inference(forward_subsumption_resolution,[],[f1469,f799]) ).
fof(f1477,plain,
( ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| spl40_7 ),
inference(forward_subsumption_resolution,[],[f1475,f414]) ).
fof(f1479,plain,
( ~ l3_lattices(sK2)
| spl40_7 ),
inference(forward_subsumption_resolution,[],[f1477,f413]) ).
fof(f1480,plain,
( $false
| spl40_7 ),
inference(forward_subsumption_resolution,[],[f1479,f411]) ).
fof(f1481,plain,
spl40_7,
inference(avatar_contradiction_clause,[],[f1480]) ).
fof(f1483,definition,
( spl40_37
<=> r1_filter_2(u1_struct_0(sK2),k19_filter_2(sK2,k2_xboole_0(sK3,sK4)),k20_filter_2(sK2,sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl40_37])],[avatar_definition]) ).
fof(f1484,plain,
( ~ r1_filter_2(u1_struct_0(sK2),k19_filter_2(sK2,k2_xboole_0(sK3,sK4)),k20_filter_2(sK2,sK3,sK4))
| spl40_37 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f1485,plain,
( ~ spl40_6
| ~ spl40_7
| ~ spl40_37 ),
inference(avatar_split_clause,[],[f1292,f1483,f809,f806]) ).
fof(f1496,plain,
( k21_filter_2(sK2,sK3,sK4) = k20_filter_2(sK2,sK3,sK4)
| ~ spl40_2 ),
inference(resolution,[],[f766,f415]) ).
fof(f1559,plain,
( m1_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f801,f695]) ).
fof(f1561,plain,
( ~ v1_xboole_0(k7_filter_2(sK2,sK3))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f801,f497]) ).
fof(f1564,plain,
( ~ v1_xboole_0(k7_filter_2(sK2,sK3))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(forward_subsumption_resolution,[],[f1561,f1174]) ).
fof(f1566,plain,
( m1_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(forward_subsumption_resolution,[],[f1559,f1174]) ).
fof(f1568,plain,
( ~ v1_xboole_0(k7_filter_2(sK2,sK3))
| ~ v10_lattices(k1_lattice2(sK2)) ),
inference(forward_subsumption_resolution,[],[f1564,f1110]) ).
fof(f1570,plain,
( m1_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2)) ),
inference(forward_subsumption_resolution,[],[f1566,f1110]) ).
fof(f1573,definition,
( spl40_41
<=> v10_lattices(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl40_41])],[avatar_definition]) ).
fof(f1574,plain,
( ~ v10_lattices(k1_lattice2(sK2))
| spl40_41 ),
inference(avatar_component_clause,[],[f1573]) ).
fof(f1576,definition,
( spl40_42
<=> v1_xboole_0(k7_filter_2(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl40_42])],[avatar_definition]) ).
fof(f1577,plain,
( ~ v1_xboole_0(k7_filter_2(sK2,sK3))
| spl40_42 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f1578,plain,
( ~ spl40_41
| ~ spl40_42 ),
inference(avatar_split_clause,[],[f1568,f1576,f1573]) ).
fof(f1584,definition,
( spl40_44
<=> m1_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl40_44])],[avatar_definition]) ).
fof(f1585,plain,
( m1_filter_0(k7_filter_2(sK2,sK3),k1_lattice2(sK2))
| ~ spl40_44 ),
inference(avatar_component_clause,[],[f1584]) ).
fof(f1586,plain,
( ~ spl40_41
| spl40_44 ),
inference(avatar_split_clause,[],[f1570,f1584,f1573]) ).
fof(f1591,plain,
( m1_filter_0(k7_filter_2(sK2,sK4),k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f780,f695]) ).
fof(f1602,plain,
v10_lattices(k1_lattice2(sK2)),
inference(resolution,[],[f994,f565]) ).
fof(f1611,plain,
( $false
| spl40_41 ),
inference(forward_subsumption_resolution,[],[f1602,f1574]) ).
fof(f1612,plain,
spl40_41,
inference(avatar_contradiction_clause,[],[f1611]) ).
fof(f1615,plain,
( m1_filter_0(k7_filter_2(sK2,sK4),k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(forward_subsumption_resolution,[],[f1591,f1174]) ).
fof(f1618,plain,
( m1_filter_0(k7_filter_2(sK2,sK4),k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(forward_subsumption_resolution,[],[f1615,f1602]) ).
fof(f1621,plain,
m1_filter_0(k7_filter_2(sK2,sK4),k1_lattice2(sK2)),
inference(forward_subsumption_resolution,[],[f1618,f1110]) ).
fof(f1628,plain,
l1_struct_0(sK2),
inference(resolution,[],[f1121,f491]) ).
fof(f1629,plain,
m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)),
inference(resolution,[],[f1121,f505]) ).
fof(f1630,plain,
v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)),
inference(resolution,[],[f1121,f506]) ).
fof(f1631,plain,
v1_funct_1(u2_lattices(sK2)),
inference(resolution,[],[f1121,f507]) ).
fof(f1643,plain,
( $false
| spl40_34 ),
inference(forward_subsumption_resolution,[],[f1628,f1417]) ).
fof(f1644,plain,
spl40_34,
inference(avatar_contradiction_clause,[],[f1643]) ).
fof(f1650,plain,
m2_relset_1(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)),
inference(resolution,[],[f1122,f502]) ).
fof(f1651,plain,
v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)),
inference(resolution,[],[f1122,f503]) ).
fof(f1652,plain,
v1_funct_1(u1_lattices(sK2)),
inference(resolution,[],[f1122,f504]) ).
fof(f1664,plain,
v17_lattices(k1_lattice2(sK2)),
inference(resolution,[],[f1072,f542]) ).
fof(f1715,plain,
( m1_subset_1(k7_filter_2(sK2,sK4),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(resolution,[],[f1621,f494]) ).
fof(f1724,plain,
( m1_filter_0(sK4,k1_lattice2(sK2))
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(superposition,[],[f1621,f466]) ).
fof(f1725,plain,
( m1_filter_0(sK4,k1_lattice2(sK2))
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f1724,f414]) ).
fof(f1732,plain,
( m1_subset_1(k7_filter_2(sK2,sK4),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(forward_subsumption_resolution,[],[f1715,f1174]) ).
fof(f1737,plain,
( m1_filter_0(sK4,k1_lattice2(sK2))
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f1725,f413]) ).
fof(f1744,plain,
( m1_subset_1(k7_filter_2(sK2,sK4),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(k1_lattice2(sK2)) ),
inference(forward_subsumption_resolution,[],[f1732,f1602]) ).
fof(f1749,plain,
( m1_filter_0(sK4,k1_lattice2(sK2))
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(forward_subsumption_resolution,[],[f1737,f411]) ).
fof(f1756,plain,
m1_subset_1(k7_filter_2(sK2,sK4),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2)))),
inference(forward_subsumption_resolution,[],[f1744,f1110]) ).
fof(f1762,definition,
( spl40_47
<=> m1_filter_0(sK4,k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl40_47])],[avatar_definition]) ).
fof(f1763,plain,
( m1_filter_0(sK4,k1_lattice2(sK2))
| ~ spl40_47 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f1764,plain,
( ~ spl40_6
| spl40_47 ),
inference(avatar_split_clause,[],[f1749,f1762,f806]) ).
fof(f2079,plain,
( m1_subset_1(k7_filter_2(sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl40_44 ),
inference(resolution,[],[f1585,f494]) ).
fof(f2084,plain,
( ! [X0] :
( k7_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0) = k5_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0)
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ m1_filter_0(X0,k1_lattice2(sK2)) )
| ~ spl40_44 ),
inference(resolution,[],[f1585,f694]) ).
fof(f2087,plain,
( ! [X0] :
( k7_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0) = k3_filter_0(k1_lattice2(sK2),k4_subset_1(u1_struct_0(k1_lattice2(sK2)),k7_filter_2(sK2,sK3),X0))
| ~ m1_filter_0(X0,k1_lattice2(sK2))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) )
| ~ spl40_44 ),
inference(resolution,[],[f1585,f719]) ).
fof(f2090,plain,
( ! [X0] :
( k7_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0) = k3_filter_0(k1_lattice2(sK2),k4_subset_1(u1_struct_0(k1_lattice2(sK2)),k7_filter_2(sK2,sK3),X0))
| ~ m1_filter_0(X0,k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) )
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f2087,f1174]) ).
fof(f2092,plain,
( ! [X0] :
( k7_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0) = k5_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0)
| ~ v10_lattices(k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ m1_filter_0(X0,k1_lattice2(sK2)) )
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f2084,f1174]) ).
fof(f2096,plain,
( m1_subset_1(k7_filter_2(sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f2079,f1174]) ).
fof(f2102,plain,
( ! [X0] :
( k7_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0) = k3_filter_0(k1_lattice2(sK2),k4_subset_1(u1_struct_0(k1_lattice2(sK2)),k7_filter_2(sK2,sK3),X0))
| ~ m1_filter_0(X0,k1_lattice2(sK2))
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) )
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f2090,f1602]) ).
fof(f2104,plain,
( ! [X0] :
( k7_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0) = k5_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0)
| ~ v17_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ m1_filter_0(X0,k1_lattice2(sK2)) )
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f2092,f1602]) ).
fof(f2108,plain,
( m1_subset_1(k7_filter_2(sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f2096,f1602]) ).
fof(f2114,plain,
( ! [X0] :
( k7_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0) = k3_filter_0(k1_lattice2(sK2),k4_subset_1(u1_struct_0(k1_lattice2(sK2)),k7_filter_2(sK2,sK3),X0))
| ~ m1_filter_0(X0,k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2)) )
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f2102,f1664]) ).
fof(f2116,plain,
( ! [X0] :
( k7_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0) = k5_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0)
| ~ l3_lattices(k1_lattice2(sK2))
| ~ m1_filter_0(X0,k1_lattice2(sK2)) )
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f2104,f1664]) ).
fof(f2120,plain,
( m1_subset_1(k7_filter_2(sK2,sK3),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f2108,f1110]) ).
fof(f2129,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK2))
| k7_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0) = k3_filter_0(k1_lattice2(sK2),k4_subset_1(u1_struct_0(k1_lattice2(sK2)),k7_filter_2(sK2,sK3),X0)) )
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f2114,f1110]) ).
fof(f2131,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK2))
| k7_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0) = k5_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0) )
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f2116,f1110]) ).
fof(f2152,plain,
( v1_xboole_0(sK36(sK2))
| v3_struct_0(sK2)
| ~ l1_struct_0(sK2)
| ~ spl40_16 ),
inference(resolution,[],[f1046,f672]) ).
fof(f2153,plain,
( v3_struct_0(sK2)
| ~ l1_struct_0(sK2)
| ~ spl40_16 ),
inference(forward_subsumption_resolution,[],[f2152,f671]) ).
fof(f2160,plain,
( ~ l1_struct_0(sK2)
| ~ spl40_16 ),
inference(forward_subsumption_resolution,[],[f2153,f414]) ).
fof(f2166,plain,
( $false
| ~ spl40_16 ),
inference(forward_subsumption_resolution,[],[f2160,f1628]) ).
fof(f2167,plain,
~ spl40_16,
inference(avatar_contradiction_clause,[],[f2166]) ).
fof(f2187,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f799,f500]) ).
fof(f2188,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f2187,f414]) ).
fof(f2189,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f2188,f413]) ).
fof(f2190,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
inference(forward_subsumption_resolution,[],[f2189,f411]) ).
fof(f2193,plain,
( sK3 = k7_filter_2(sK2,sK3)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f2190,f466]) ).
fof(f2253,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| k4_subset_1(u1_struct_0(sK2),sK3,X0) = k2_xboole_0(sK3,X0) ),
inference(resolution,[],[f2190,f693]) ).
fof(f2324,plain,
( sK3 = k7_filter_2(sK2,sK3)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f2193,f414]) ).
fof(f2365,plain,
( sK3 = k7_filter_2(sK2,sK3)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f2324,f413]) ).
fof(f2406,plain,
sK3 = k7_filter_2(sK2,sK3),
inference(forward_subsumption_resolution,[],[f2365,f411]) ).
fof(f2472,plain,
( m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f757,f500]) ).
fof(f2479,plain,
( m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f2472,f414]) ).
fof(f2481,plain,
( m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f2479,f413]) ).
fof(f2483,plain,
m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2))),
inference(forward_subsumption_resolution,[],[f2481,f411]) ).
fof(f2487,plain,
( sK4 = k7_filter_2(sK2,sK4)
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f2483,f466]) ).
fof(f2615,plain,
( sK4 = k7_filter_2(sK2,sK4)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f2487,f414]) ).
fof(f2656,plain,
( sK4 = k7_filter_2(sK2,sK4)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f2615,f413]) ).
fof(f2697,plain,
sK4 = k7_filter_2(sK2,sK4),
inference(forward_subsumption_resolution,[],[f2656,f411]) ).
fof(f3019,definition,
( spl40_56
<=> m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl40_56])],[avatar_definition]) ).
fof(f3020,plain,
( ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| spl40_56 ),
inference(avatar_component_clause,[],[f3019]) ).
fof(f3083,plain,
( ~ m2_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| spl40_56 ),
inference(resolution,[],[f3020,f697]) ).
fof(f3084,plain,
( $false
| spl40_56 ),
inference(forward_subsumption_resolution,[],[f3083,f1629]) ).
fof(f3085,plain,
spl40_56,
inference(avatar_contradiction_clause,[],[f3084]) ).
fof(f3123,definition,
( spl40_71
<=> m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl40_71])],[avatar_definition]) ).
fof(f3124,plain,
( ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| spl40_71 ),
inference(avatar_component_clause,[],[f3123]) ).
fof(f3187,plain,
( ~ m2_relset_1(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| spl40_71 ),
inference(resolution,[],[f3124,f697]) ).
fof(f3188,plain,
( $false
| spl40_71 ),
inference(forward_subsumption_resolution,[],[f3187,f1650]) ).
fof(f3189,plain,
spl40_71,
inference(avatar_contradiction_clause,[],[f3188]) ).
fof(f3218,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_struct_0(sK2) = X0
| ~ v1_funct_1(u1_lattices(sK2))
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)) ),
inference(superposition,[],[f589,f1104]) ).
fof(f3220,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_struct_0(sK2) = X0
| ~ v1_funct_2(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f3218,f1652]) ).
fof(f3223,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_struct_0(sK2) = X0
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ v1_funct_1(u2_lattices(sK2))
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f3220,f1651]) ).
fof(f3226,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_struct_0(sK2) = X0
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ v1_funct_2(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f3223,f1631]) ).
fof(f3229,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_struct_0(sK2) = X0
| ~ m1_relset_1(u1_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2))
| ~ m1_relset_1(u2_lattices(sK2),k2_zfmisc_1(u1_struct_0(sK2),u1_struct_0(sK2)),u1_struct_0(sK2)) ),
inference(forward_subsumption_resolution,[],[f3226,f1630]) ).
fof(f3233,definition,
( spl40_86
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_struct_0(sK2) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl40_86])],[avatar_definition]) ).
fof(f3234,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK2)
| u1_struct_0(sK2) = X0 )
| ~ spl40_86 ),
inference(avatar_component_clause,[],[f3233]) ).
fof(f3235,plain,
( ~ spl40_56
| ~ spl40_71
| spl40_86 ),
inference(avatar_split_clause,[],[f3229,f3233,f3123,f3019]) ).
fof(f3244,plain,
( ! [X0] :
( k1_lattice2(sK2) != X0
| u1_struct_0(X0) = u1_struct_0(sK2)
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) )
| ~ spl40_86 ),
inference(superposition,[],[f3234,f418]) ).
fof(f3401,definition,
( spl40_91
<=> u1_struct_0(sK2) = u1_struct_0(k1_lattice2(sK2)) ),
introduced(definition,[new_symbols(definition,[spl40_91])],[avatar_definition]) ).
fof(f3402,plain,
( u1_struct_0(sK2) = u1_struct_0(k1_lattice2(sK2))
| ~ spl40_91 ),
inference(avatar_component_clause,[],[f3401]) ).
fof(f3449,plain,
( u1_struct_0(sK2) = u1_struct_0(k1_lattice2(sK2))
| ~ v3_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl40_86 ),
inference(equality_resolution,[],[f3244]) ).
fof(f3450,plain,
( u1_struct_0(sK2) = u1_struct_0(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| ~ spl40_86 ),
inference(forward_subsumption_resolution,[],[f3449,f1111]) ).
fof(f3451,plain,
( u1_struct_0(sK2) = u1_struct_0(k1_lattice2(sK2))
| ~ spl40_86 ),
inference(forward_subsumption_resolution,[],[f3450,f1110]) ).
fof(f3452,plain,
( spl40_91
| ~ spl40_86 ),
inference(avatar_split_clause,[],[f3451,f3233,f3401]) ).
fof(f3455,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| k8_filter_2(sK2,X0) = X0
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl40_91 ),
inference(superposition,[],[f467,f3402]) ).
fof(f3459,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| k3_filter_2(k1_lattice2(sK2),X0) = k19_filter_2(sK2,k8_filter_2(sK2,X0))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl40_91 ),
inference(superposition,[],[f709,f3402]) ).
fof(f3692,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| k3_filter_2(k1_lattice2(sK2),X0) = k19_filter_2(sK2,k8_filter_2(sK2,X0))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl40_91 ),
inference(forward_subsumption_resolution,[],[f3459,f414]) ).
fof(f3696,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| k8_filter_2(sK2,X0) = X0
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl40_91 ),
inference(forward_subsumption_resolution,[],[f3455,f414]) ).
fof(f3812,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| k3_filter_2(k1_lattice2(sK2),X0) = k19_filter_2(sK2,k8_filter_2(sK2,X0))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l3_lattices(sK2) )
| ~ spl40_91 ),
inference(forward_subsumption_resolution,[],[f3692,f413]) ).
fof(f3816,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| k8_filter_2(sK2,X0) = X0
| ~ l3_lattices(sK2) )
| ~ spl40_91 ),
inference(forward_subsumption_resolution,[],[f3696,f413]) ).
fof(f3921,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| k3_filter_2(k1_lattice2(sK2),X0) = k19_filter_2(sK2,k8_filter_2(sK2,X0))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK2))) )
| ~ spl40_91 ),
inference(forward_subsumption_resolution,[],[f3812,f411]) ).
fof(f3925,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| k8_filter_2(sK2,X0) = X0 )
| ~ spl40_91 ),
inference(forward_subsumption_resolution,[],[f3816,f411]) ).
fof(f4000,definition,
( spl40_109
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| v1_xboole_0(X0)
| k3_filter_2(k1_lattice2(sK2),X0) = k19_filter_2(sK2,k8_filter_2(sK2,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl40_109])],[avatar_definition]) ).
fof(f4001,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| v1_xboole_0(X0)
| k3_filter_2(k1_lattice2(sK2),X0) = k19_filter_2(sK2,k8_filter_2(sK2,X0)) )
| ~ spl40_109 ),
inference(avatar_component_clause,[],[f4000]) ).
fof(f4002,plain,
( spl40_16
| spl40_109
| ~ spl40_91 ),
inference(avatar_split_clause,[],[f3921,f3401,f4000,f1045]) ).
fof(f4819,plain,
( k7_filter_2(sK2,sK3) = k8_filter_2(sK2,k7_filter_2(sK2,sK3))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl40_44 ),
inference(resolution,[],[f2120,f467]) ).
fof(f4826,plain,
( ! [X2,X0,X1] :
( k5_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0) = k20_filter_2(sK2,k8_filter_2(sK2,k7_filter_2(sK2,sK3)),k8_filter_2(sK2,X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| v1_xboole_0(k7_filter_2(sK2,sK3))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK2)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl40_44 ),
inference(resolution,[],[f2120,f714]) ).
fof(f4982,plain,
( ! [X2,X0,X1] :
( k5_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0) = k20_filter_2(sK2,k8_filter_2(sK2,k7_filter_2(sK2,sK3)),k8_filter_2(sK2,X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK2)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| spl40_42
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f4826,f1577]) ).
fof(f4987,plain,
( k7_filter_2(sK2,sK3) = k8_filter_2(sK2,k7_filter_2(sK2,sK3))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2)
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f4819,f414]) ).
fof(f5055,plain,
( ! [X2,X0,X1] :
( k5_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0) = k20_filter_2(sK2,k8_filter_2(sK2,k7_filter_2(sK2,sK3)),k8_filter_2(sK2,X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK2)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| spl40_42
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f4982,f414]) ).
fof(f5060,plain,
( k7_filter_2(sK2,sK3) = k8_filter_2(sK2,k7_filter_2(sK2,sK3))
| ~ l3_lattices(sK2)
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f4987,f413]) ).
fof(f5122,plain,
( ! [X2,X0,X1] :
( k5_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0) = k20_filter_2(sK2,k8_filter_2(sK2,k7_filter_2(sK2,sK3)),k8_filter_2(sK2,X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK2)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l3_lattices(sK2) )
| spl40_42
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f5055,f413]) ).
fof(f5127,plain,
( k7_filter_2(sK2,sK3) = k8_filter_2(sK2,k7_filter_2(sK2,sK3))
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f5060,f411]) ).
fof(f5182,plain,
( ! [X2,X0,X1] :
( k5_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),X0) = k20_filter_2(sK2,k8_filter_2(sK2,k7_filter_2(sK2,sK3)),k8_filter_2(sK2,X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK2)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK2))) )
| spl40_42
| ~ spl40_44 ),
inference(forward_subsumption_resolution,[],[f5122,f411]) ).
fof(f5187,plain,
( sK3 = k8_filter_2(sK2,sK3)
| ~ spl40_44 ),
inference(forward_demodulation,[],[f5127,f2406]) ).
fof(f5240,plain,
( ! [X2,X0,X1] :
( k5_filter_0(k1_lattice2(sK2),sK3,X0) = k20_filter_2(sK2,k8_filter_2(sK2,sK3),k8_filter_2(sK2,X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK2)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK2))) )
| spl40_42
| ~ spl40_44 ),
inference(forward_demodulation,[],[f5182,f2406]) ).
fof(f5291,plain,
( ! [X2,X0,X1] :
( k5_filter_0(k1_lattice2(sK2),sK3,X0) = k20_filter_2(sK2,sK3,k8_filter_2(sK2,X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK2)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK2))) )
| spl40_42
| ~ spl40_44 ),
inference(forward_demodulation,[],[f5240,f5187]) ).
fof(f5328,plain,
( ! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| k5_filter_0(k1_lattice2(sK2),sK3,X0) = k20_filter_2(sK2,sK3,k8_filter_2(sK2,X0))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK2)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK2))) )
| spl40_42
| ~ spl40_44
| ~ spl40_91 ),
inference(forward_demodulation,[],[f5291,f3402]) ).
fof(f5354,definition,
( spl40_127
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| v1_xboole_0(X0)
| k5_filter_0(k1_lattice2(sK2),sK3,X0) = k20_filter_2(sK2,sK3,k8_filter_2(sK2,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl40_127])],[avatar_definition]) ).
fof(f5355,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| v1_xboole_0(X0)
| k5_filter_0(k1_lattice2(sK2),sK3,X0) = k20_filter_2(sK2,sK3,k8_filter_2(sK2,X0)) )
| ~ spl40_127 ),
inference(avatar_component_clause,[],[f5354]) ).
fof(f5356,plain,
( spl40_16
| spl40_16
| spl40_127
| spl40_42
| ~ spl40_44
| ~ spl40_91 ),
inference(avatar_split_clause,[],[f5328,f3401,f1584,f1576,f5354,f1045,f1045]) ).
fof(f5496,plain,
( k7_filter_2(sK2,sK4) = k8_filter_2(sK2,k7_filter_2(sK2,sK4))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(resolution,[],[f1756,f467]) ).
fof(f5664,plain,
( k7_filter_2(sK2,sK4) = k8_filter_2(sK2,k7_filter_2(sK2,sK4))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f5496,f414]) ).
fof(f5737,plain,
( k7_filter_2(sK2,sK4) = k8_filter_2(sK2,k7_filter_2(sK2,sK4))
| ~ l3_lattices(sK2) ),
inference(forward_subsumption_resolution,[],[f5664,f413]) ).
fof(f5804,plain,
k7_filter_2(sK2,sK4) = k8_filter_2(sK2,k7_filter_2(sK2,sK4)),
inference(forward_subsumption_resolution,[],[f5737,f411]) ).
fof(f5864,plain,
sK4 = k8_filter_2(sK2,sK4),
inference(forward_demodulation,[],[f5804,f2697]) ).
fof(f6100,plain,
! [X0] : ~ v1_xboole_0(k2_xboole_0(X0,sK4)),
inference(resolution,[],[f756,f541]) ).
fof(f7531,plain,
( ! [X0] :
( m2_lattice4(k21_filter_2(sK2,X0,sK4),sK2)
| ~ m2_filter_2(X0,sK2) )
| ~ spl40_4 ),
inference(resolution,[],[f774,f1006]) ).
fof(f9046,plain,
( k7_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),sK4) = k5_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),sK4)
| ~ spl40_44
| ~ spl40_47 ),
inference(resolution,[],[f2131,f1763]) ).
fof(f9057,plain,
( k7_filter_0(k1_lattice2(sK2),sK3,sK4) = k5_filter_0(k1_lattice2(sK2),sK3,sK4)
| ~ spl40_44
| ~ spl40_47 ),
inference(forward_demodulation,[],[f9046,f2406]) ).
fof(f17851,plain,
( ! [X0] :
( ~ m2_filter_2(X0,sK2)
| m1_subset_1(k21_filter_2(sK2,X0,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl40_4 ),
inference(resolution,[],[f7531,f500]) ).
fof(f17859,plain,
( ! [X0] :
( ~ m2_filter_2(X0,sK2)
| m1_subset_1(k21_filter_2(sK2,X0,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v10_lattices(sK2)
| ~ l3_lattices(sK2) )
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f17851,f414]) ).
fof(f17860,plain,
( ! [X0] :
( ~ m2_filter_2(X0,sK2)
| m1_subset_1(k21_filter_2(sK2,X0,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l3_lattices(sK2) )
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f17859,f413]) ).
fof(f17861,plain,
( ! [X0] :
( m1_subset_1(k21_filter_2(sK2,X0,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m2_filter_2(X0,sK2) )
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f17860,f411]) ).
fof(f17952,plain,
( m1_subset_1(k20_filter_2(sK2,sK3,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m2_filter_2(sK3,sK2)
| ~ spl40_2
| ~ spl40_4 ),
inference(superposition,[],[f17861,f1496]) ).
fof(f17963,plain,
( m1_subset_1(k20_filter_2(sK2,sK3,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f17952,f415]) ).
fof(f18315,plain,
( r1_filter_2(u1_struct_0(sK2),k20_filter_2(sK2,sK3,sK4),k20_filter_2(sK2,sK3,sK4))
| v1_xboole_0(u1_struct_0(sK2))
| ~ spl40_2
| ~ spl40_4 ),
inference(resolution,[],[f17963,f728]) ).
fof(f18326,plain,
( r1_filter_2(u1_struct_0(sK2),k20_filter_2(sK2,sK3,sK4),k20_filter_2(sK2,sK3,sK4))
| ~ spl40_2
| ~ spl40_4
| spl40_11 ),
inference(forward_subsumption_resolution,[],[f18315,f1430]) ).
fof(f19557,plain,
k4_subset_1(u1_struct_0(sK2),sK3,sK4) = k2_xboole_0(sK3,sK4),
inference(resolution,[],[f2253,f2483]) ).
fof(f19590,plain,
( m1_subset_1(k2_xboole_0(sK3,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(superposition,[],[f485,f19557]) ).
fof(f19612,plain,
( m1_subset_1(k2_xboole_0(sK3,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(forward_subsumption_resolution,[],[f19590,f2190]) ).
fof(f19613,plain,
m1_subset_1(k2_xboole_0(sK3,sK4),k1_zfmisc_1(u1_struct_0(sK2))),
inference(forward_subsumption_resolution,[],[f19612,f2483]) ).
fof(f19628,plain,
( k2_xboole_0(sK3,sK4) = k8_filter_2(sK2,k2_xboole_0(sK3,sK4))
| ~ spl40_91 ),
inference(resolution,[],[f19613,f3925]) ).
fof(f19630,plain,
( v1_xboole_0(k2_xboole_0(sK3,sK4))
| k3_filter_2(k1_lattice2(sK2),k2_xboole_0(sK3,sK4)) = k19_filter_2(sK2,k8_filter_2(sK2,k2_xboole_0(sK3,sK4)))
| ~ spl40_109 ),
inference(resolution,[],[f19613,f4001]) ).
fof(f19785,plain,
( k3_filter_2(k1_lattice2(sK2),k2_xboole_0(sK3,sK4)) = k19_filter_2(sK2,k8_filter_2(sK2,k2_xboole_0(sK3,sK4)))
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f19630,f6100]) ).
fof(f19849,plain,
( k19_filter_2(sK2,k2_xboole_0(sK3,sK4)) = k3_filter_2(k1_lattice2(sK2),k2_xboole_0(sK3,sK4))
| ~ spl40_91
| ~ spl40_109 ),
inference(forward_demodulation,[],[f19785,f19628]) ).
fof(f20596,plain,
( k7_filter_0(k1_lattice2(sK2),k7_filter_2(sK2,sK3),sK4) = k3_filter_0(k1_lattice2(sK2),k4_subset_1(u1_struct_0(k1_lattice2(sK2)),k7_filter_2(sK2,sK3),sK4))
| ~ spl40_44
| ~ spl40_47 ),
inference(resolution,[],[f2129,f1763]) ).
fof(f20605,plain,
( k7_filter_0(k1_lattice2(sK2),sK3,sK4) = k3_filter_0(k1_lattice2(sK2),k4_subset_1(u1_struct_0(k1_lattice2(sK2)),sK3,sK4))
| ~ spl40_44
| ~ spl40_47 ),
inference(forward_demodulation,[],[f20596,f2406]) ).
fof(f20622,plain,
( k7_filter_0(k1_lattice2(sK2),sK3,sK4) = k3_filter_0(k1_lattice2(sK2),k4_subset_1(u1_struct_0(sK2),sK3,sK4))
| ~ spl40_44
| ~ spl40_47
| ~ spl40_91 ),
inference(forward_demodulation,[],[f20605,f3402]) ).
fof(f20639,plain,
( k7_filter_0(k1_lattice2(sK2),sK3,sK4) = k3_filter_0(k1_lattice2(sK2),k2_xboole_0(sK3,sK4))
| ~ spl40_44
| ~ spl40_47
| ~ spl40_91 ),
inference(forward_demodulation,[],[f20622,f19557]) ).
fof(f20653,plain,
( k5_filter_0(k1_lattice2(sK2),sK3,sK4) = k3_filter_0(k1_lattice2(sK2),k2_xboole_0(sK3,sK4))
| ~ spl40_44
| ~ spl40_47
| ~ spl40_91 ),
inference(forward_demodulation,[],[f20639,f9057]) ).
fof(f20670,plain,
( k5_filter_0(k1_lattice2(sK2),sK3,sK4) = k3_filter_2(k1_lattice2(sK2),k2_xboole_0(sK3,sK4))
| v3_struct_0(k1_lattice2(sK2))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| v1_xboole_0(k2_xboole_0(sK3,sK4))
| ~ m1_subset_1(k2_xboole_0(sK3,sK4),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ spl40_44
| ~ spl40_47
| ~ spl40_91 ),
inference(superposition,[],[f689,f20653]) ).
fof(f20672,plain,
( k5_filter_0(k1_lattice2(sK2),sK3,sK4) = k3_filter_2(k1_lattice2(sK2),k2_xboole_0(sK3,sK4))
| ~ v10_lattices(k1_lattice2(sK2))
| ~ l3_lattices(k1_lattice2(sK2))
| v1_xboole_0(k2_xboole_0(sK3,sK4))
| ~ m1_subset_1(k2_xboole_0(sK3,sK4),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ spl40_44
| ~ spl40_47
| ~ spl40_91 ),
inference(forward_subsumption_resolution,[],[f20670,f1174]) ).
fof(f20674,plain,
( k5_filter_0(k1_lattice2(sK2),sK3,sK4) = k3_filter_2(k1_lattice2(sK2),k2_xboole_0(sK3,sK4))
| ~ l3_lattices(k1_lattice2(sK2))
| v1_xboole_0(k2_xboole_0(sK3,sK4))
| ~ m1_subset_1(k2_xboole_0(sK3,sK4),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ spl40_44
| ~ spl40_47
| ~ spl40_91 ),
inference(forward_subsumption_resolution,[],[f20672,f1602]) ).
fof(f20676,plain,
( k5_filter_0(k1_lattice2(sK2),sK3,sK4) = k3_filter_2(k1_lattice2(sK2),k2_xboole_0(sK3,sK4))
| v1_xboole_0(k2_xboole_0(sK3,sK4))
| ~ m1_subset_1(k2_xboole_0(sK3,sK4),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ spl40_44
| ~ spl40_47
| ~ spl40_91 ),
inference(forward_subsumption_resolution,[],[f20674,f1110]) ).
fof(f20678,plain,
( k5_filter_0(k1_lattice2(sK2),sK3,sK4) = k3_filter_2(k1_lattice2(sK2),k2_xboole_0(sK3,sK4))
| ~ m1_subset_1(k2_xboole_0(sK3,sK4),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ spl40_44
| ~ spl40_47
| ~ spl40_91 ),
inference(forward_subsumption_resolution,[],[f20676,f6100]) ).
fof(f20680,plain,
( k19_filter_2(sK2,k2_xboole_0(sK3,sK4)) = k5_filter_0(k1_lattice2(sK2),sK3,sK4)
| ~ m1_subset_1(k2_xboole_0(sK3,sK4),k1_zfmisc_1(u1_struct_0(k1_lattice2(sK2))))
| ~ spl40_44
| ~ spl40_47
| ~ spl40_91
| ~ spl40_109 ),
inference(forward_demodulation,[],[f20678,f19849]) ).
fof(f20682,plain,
( ~ m1_subset_1(k2_xboole_0(sK3,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| k19_filter_2(sK2,k2_xboole_0(sK3,sK4)) = k5_filter_0(k1_lattice2(sK2),sK3,sK4)
| ~ spl40_44
| ~ spl40_47
| ~ spl40_91
| ~ spl40_109 ),
inference(forward_demodulation,[],[f20680,f3402]) ).
fof(f20684,plain,
( k19_filter_2(sK2,k2_xboole_0(sK3,sK4)) = k5_filter_0(k1_lattice2(sK2),sK3,sK4)
| ~ spl40_44
| ~ spl40_47
| ~ spl40_91
| ~ spl40_109 ),
inference(forward_subsumption_resolution,[],[f20682,f19613]) ).
fof(f20688,plain,
( ~ r1_filter_2(u1_struct_0(sK2),k5_filter_0(k1_lattice2(sK2),sK3,sK4),k20_filter_2(sK2,sK3,sK4))
| spl40_37
| ~ spl40_44
| ~ spl40_47
| ~ spl40_91
| ~ spl40_109 ),
inference(superposition,[],[f1484,f20684]) ).
fof(f33026,plain,
( v1_xboole_0(sK4)
| k5_filter_0(k1_lattice2(sK2),sK3,sK4) = k20_filter_2(sK2,sK3,k8_filter_2(sK2,sK4))
| ~ spl40_127 ),
inference(resolution,[],[f5355,f2483]) ).
fof(f33033,plain,
( k5_filter_0(k1_lattice2(sK2),sK3,sK4) = k20_filter_2(sK2,sK3,k8_filter_2(sK2,sK4))
| ~ spl40_127 ),
inference(forward_subsumption_resolution,[],[f33026,f756]) ).
fof(f33064,plain,
( k20_filter_2(sK2,sK3,sK4) = k5_filter_0(k1_lattice2(sK2),sK3,sK4)
| ~ spl40_127 ),
inference(forward_demodulation,[],[f33033,f5864]) ).
fof(f33111,plain,
( ~ r1_filter_2(u1_struct_0(sK2),k20_filter_2(sK2,sK3,sK4),k20_filter_2(sK2,sK3,sK4))
| spl40_37
| ~ spl40_44
| ~ spl40_47
| ~ spl40_91
| ~ spl40_109
| ~ spl40_127 ),
inference(superposition,[],[f20688,f33064]) ).
fof(f33122,plain,
( $false
| ~ spl40_2
| ~ spl40_4
| spl40_11
| spl40_37
| ~ spl40_44
| ~ spl40_47
| ~ spl40_91
| ~ spl40_109
| ~ spl40_127 ),
inference(forward_subsumption_resolution,[],[f33111,f18326]) ).
fof(f33123,plain,
( ~ spl40_2
| ~ spl40_4
| spl40_11
| spl40_37
| ~ spl40_44
| ~ spl40_47
| ~ spl40_91
| ~ spl40_109
| ~ spl40_127 ),
inference(avatar_contradiction_clause,[],[f33122]) ).
cnf(s1,plain,
( ~ spl40_1
| spl40_2 ),
inference(sat_conversion,[],[f767]) ).
cnf(s3,plain,
( ~ spl40_1
| spl40_4 ),
inference(sat_conversion,[],[f775]) ).
cnf(s23,plain,
spl40_1,
inference(sat_conversion,[],[f1216]) ).
cnf(s38,plain,
( ~ spl40_11
| ~ spl40_34 ),
inference(sat_conversion,[],[f1431]) ).
cnf(s39,plain,
spl40_6,
inference(sat_conversion,[],[f1468]) ).
cnf(s40,plain,
spl40_7,
inference(sat_conversion,[],[f1481]) ).
cnf(s41,plain,
( ~ spl40_6
| ~ spl40_7
| ~ spl40_37 ),
inference(sat_conversion,[],[f1485]) ).
cnf(s46,plain,
( ~ spl40_41
| ~ spl40_42 ),
inference(sat_conversion,[],[f1578]) ).
cnf(s48,plain,
( ~ spl40_41
| spl40_44 ),
inference(sat_conversion,[],[f1586]) ).
cnf(s51,plain,
spl40_41,
inference(sat_conversion,[],[f1612]) ).
cnf(s52,plain,
spl40_34,
inference(sat_conversion,[],[f1644]) ).
cnf(s53,plain,
( ~ spl40_6
| spl40_47 ),
inference(sat_conversion,[],[f1764]) ).
cnf(s58,plain,
~ spl40_16,
inference(sat_conversion,[],[f2167]) ).
cnf(s81,plain,
spl40_56,
inference(sat_conversion,[],[f3085]) ).
cnf(s98,plain,
spl40_71,
inference(sat_conversion,[],[f3189]) ).
cnf(s100,plain,
( ~ spl40_56
| ~ spl40_71
| spl40_86 ),
inference(sat_conversion,[],[f3235]) ).
cnf(s111,plain,
( ~ spl40_86
| spl40_91 ),
inference(sat_conversion,[],[f3452]) ).
cnf(s152,plain,
( spl40_16
| ~ spl40_91
| spl40_109 ),
inference(sat_conversion,[],[f4002]) ).
cnf(s201,plain,
( spl40_16
| spl40_16
| spl40_42
| ~ spl40_44
| ~ spl40_91
| spl40_127 ),
inference(sat_conversion,[],[f5356]) ).
cnf(s202,plain,
( spl40_16
| spl40_42
| ~ spl40_44
| ~ spl40_91
| spl40_127 ),
inference(rat,[],[s201]) ).
cnf(s623,plain,
( ~ spl40_2
| ~ spl40_4
| spl40_11
| spl40_37
| ~ spl40_44
| ~ spl40_47
| ~ spl40_91
| ~ spl40_109
| ~ spl40_127 ),
inference(sat_conversion,[],[f33123]) ).
cnf(s745,plain,
spl40_86,
inference(rat,[],[s100,s98,s81]) ).
cnf(s748,plain,
spl40_91,
inference(rat,[],[s111,s745]) ).
cnf(s916,plain,
spl40_109,
inference(rat,[],[s152,s748,s58]) ).
cnf(s937,plain,
spl40_44,
inference(rat,[],[s48,s51]) ).
cnf(s939,plain,
~ spl40_42,
inference(rat,[],[s46,s51]) ).
cnf(s943,plain,
spl40_127,
inference(rat,[],[s202,s937,s748,s58,s939]) ).
cnf(s953,plain,
spl40_47,
inference(rat,[],[s53,s39]) ).
cnf(s955,plain,
~ spl40_37,
inference(rat,[],[s41,s40,s39]) ).
cnf(s963,plain,
~ spl40_11,
inference(rat,[],[s38,s52]) ).
cnf(s992,plain,
spl40_4,
inference(rat,[],[s3,s23]) ).
cnf(s993,plain,
~ spl40_2,
inference(rat,[],[s623,s943,s916,s748,s953,s937,s955,s963,s992]) ).
cnf(s1001,plain,
$false,
inference(rat,[],[s1,s993,s23]) ).
fof(f33133,plain,
$false,
inference(avatar_sat_refutation,[],[s1001]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT320+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 14:37:11 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 13.56/2.86 % (604184)Detected formulas, will run a generic FOF schedule.
% 13.56/2.86 % (604191)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=4123644234:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.56/2.86 % (604190)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=951447567:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.56/2.86 % (604195)dis-21_1_sil=8000:lcm=predicate:random_seed=2075728620: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)
% 13.56/2.86 % (604194)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3327730566:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.56/2.86 % (604189)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=3432501462:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.56/2.86 % (604192)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3673959334:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.56/2.86 % (604193)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1197301799:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.56/2.86 % (604192)Refutation not found, incomplete strategy
% 13.56/2.86 % (604192)------------------------------
% 13.56/2.86 % (604192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.56/2.86 % (604192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.56/2.86 % (604192)CaDiCaL version: 2.1.3
% 13.56/2.86 % (604192)Termination reason: Refutation not found, incomplete strategy
% 13.56/2.86 % (604192)Time elapsed: 0.002 s
% 13.56/2.86 % (604192)Peak memory usage: 88 MB
% 13.56/2.86 % (604192)Instructions burned: 1 (million)
% 13.56/2.86 % (604193)Instruction limit reached!
% 13.56/2.86 % (604193)------------------------------
% 13.56/2.86 % (604193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.56/2.86 % (604193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.56/2.86 % (604193)CaDiCaL version: 2.1.3
% 13.56/2.86 % (604193)Termination reason: Instruction limit
% 13.56/2.86 % (604193)Termination phase: Saturation
% 13.56/2.86 % (604193)Time elapsed: 0.069 s
% 13.56/2.86 % (604193)Peak memory usage: 89 MB
% 13.56/2.86 % (604193)Instructions burned: 120 (million)
% 13.56/2.86 % (604195)Instruction limit reached!
% 13.56/2.86 % (604195)------------------------------
% 13.56/2.86 % (604195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.56/2.86 % (604195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.56/2.86 % (604195)CaDiCaL version: 2.1.3
% 13.56/2.86 % (604195)Termination reason: Instruction limit
% 13.56/2.86 % (604195)Termination phase: Saturation
% 13.56/2.86 % (604195)Time elapsed: 0.075 s
% 13.56/2.86 % (604195)Peak memory usage: 94 MB
% 13.56/2.86 % (604195)Instructions burned: 130 (million)
% 13.56/2.86 % (604194)Instruction limit reached!
% 13.56/2.86 % (604194)------------------------------
% 13.56/2.86 % (604194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.56/2.86 % (604194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.56/2.86 % (604194)CaDiCaL version: 2.1.3
% 13.56/2.86 % (604194)Termination reason: Instruction limit
% 13.56/2.86 % (604194)Termination phase: Saturation
% 13.56/2.86 % (604194)Time elapsed: 0.088 s
% 13.56/2.86 % (604194)Peak memory usage: 90 MB
% 13.56/2.86 % (604194)Instructions burned: 141 (million)
% 13.56/2.86 % (604203)lrs+10_1_sil=8000:sp=occurrence:random_seed=491397916:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.56/2.86 % (604204)lrs+10_1_sil=32000:urr=on:br=off:random_seed=976690745:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.56/2.86 % (604192)------------------------------
% 13.56/2.86 % (604192)------------------------------
% 13.56/2.86 % (604205)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1868606739:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.56/2.86 % (604204)Instruction limit reached!
% 13.56/2.86 % (604204)------------------------------
% 13.56/2.86 % (604204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.56/2.86 % (604204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.61 % (604204)CaDiCaL version: 2.1.3
% 19.42/3.61 % (604204)Termination reason: Instruction limit
% 19.42/3.61 % (604204)Termination phase: Saturation
% 19.42/3.61 % (604204)Time elapsed: 0.076 s
% 19.42/3.61 % (604204)Peak memory usage: 91 MB
% 19.42/3.61 % (604204)Instructions burned: 157 (million)
% 19.42/3.61 % (604205)Instruction limit reached!
% 19.42/3.61 % (604205)------------------------------
% 19.42/3.61 % (604205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.42/3.61 % (604205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.61 % (604205)CaDiCaL version: 2.1.3
% 19.42/3.61 % (604205)Termination reason: Instruction limit
% 19.42/3.61 % (604205)Termination phase: Saturation
% 19.42/3.61 % (604205)Time elapsed: 0.105 s
% 19.42/3.61 % (604205)Peak memory usage: 89 MB
% 19.42/3.61 % (604205)Instructions burned: 325 (million)
% 19.42/3.61 % (604209)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=1593069836:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 19.42/3.61 % (604203)Instruction limit reached!
% 19.42/3.61 % (604203)------------------------------
% 19.42/3.61 % (604203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.42/3.61 % (604203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.61 % (604203)CaDiCaL version: 2.1.3
% 19.42/3.61 % (604203)Termination reason: Instruction limit
% 19.42/3.61 % (604203)Termination phase: Saturation
% 19.42/3.61 % (604203)Time elapsed: 0.165 s
% 19.42/3.61 % (604203)Peak memory usage: 91 MB
% 19.42/3.61 % (604203)Instructions burned: 285 (million)
% 19.42/3.61 % (604209)Instruction limit reached!
% 19.42/3.61 % (604209)------------------------------
% 19.42/3.61 % (604209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.42/3.61 % (604209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.61 % (604209)CaDiCaL version: 2.1.3
% 19.42/3.61 % (604209)Termination reason: Instruction limit
% 19.42/3.61 % (604209)Termination phase: Saturation
% 19.42/3.61 % (604209)Time elapsed: 0.064 s
% 19.42/3.61 % (604209)Peak memory usage: 92 MB
% 19.42/3.61 % (604209)Instructions burned: 250 (million)
% 19.42/3.61 % (604210)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1619959432:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.42/3.61 % (604211)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4056015074:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 19.42/3.61 % (604213)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=314830616:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 19.42/3.61 % (604214)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1929723857:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 19.42/3.61 % (604214)Instruction limit reached!
% 19.42/3.61 % (604214)------------------------------
% 19.42/3.61 % (604214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.42/3.61 % (604214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.61 % (604214)CaDiCaL version: 2.1.3
% 19.42/3.61 % (604214)Termination reason: Instruction limit
% 19.42/3.61 % (604214)Termination phase: Saturation
% 19.42/3.61 % (604214)Time elapsed: 0.034 s
% 19.42/3.61 % (604214)Peak memory usage: 89 MB
% 19.42/3.61 % (604214)Instructions burned: 128 (million)
% 19.42/3.61 % (604213)Instruction limit reached!
% 19.42/3.61 % (604213)------------------------------
% 19.42/3.61 % (604213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.42/3.61 % (604213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.61 % (604213)CaDiCaL version: 2.1.3
% 19.42/3.61 % (604213)Termination reason: Instruction limit
% 19.42/3.61 % (604213)Termination phase: Saturation
% 19.42/3.61 % (604213)Time elapsed: 0.068 s
% 19.42/3.61 % (604213)Peak memory usage: 91 MB
% 19.42/3.61 % (604213)Instructions burned: 114 (million)
% 19.42/3.61 % (604210)Instruction limit reached!
% 19.42/3.61 % (604210)------------------------------
% 19.42/3.61 % (604210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.42/3.61 % (604210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.61 % (604210)CaDiCaL version: 2.1.3
% 19.42/3.61 % (604210)Termination reason: Instruction limit
% 19.42/3.61 % (604210)Termination phase: Saturation
% 19.42/3.61 % (604210)Time elapsed: 0.168 s
% 44.90/7.19 % (604210)Peak memory usage: 90 MB
% 44.90/7.19 % (604210)Instructions burned: 295 (million)
% 44.90/7.19 % (604219)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1380416016:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 44.90/7.19 % (604219)Instruction limit reached!
% 44.90/7.19 % (604219)------------------------------
% 44.90/7.19 % (604219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.90/7.19 % (604219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.90/7.19 % (604219)CaDiCaL version: 2.1.3
% 44.90/7.19 % (604219)Termination reason: Instruction limit
% 44.90/7.19 % (604219)Termination phase: Saturation
% 44.90/7.19 % (604219)Time elapsed: 0.036 s
% 44.90/7.19 % (604219)Peak memory usage: 89 MB
% 44.90/7.19 % (604219)Instructions burned: 117 (million)
% 44.90/7.19 % (604220)lrs+10_1_sil=8000:sp=occurrence:random_seed=1132623911:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 44.90/7.19 % (604221)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3780590060:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 44.90/7.19 % (604221)Refutation not found, incomplete strategy
% 44.90/7.19 % (604221)------------------------------
% 44.90/7.19 % (604221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.90/7.19 % (604221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.90/7.19 % (604221)CaDiCaL version: 2.1.3
% 44.90/7.19 % (604221)Termination reason: Refutation not found, incomplete strategy
% 44.90/7.19 % (604221)Time elapsed: 0.011 s
% 44.90/7.19 % (604221)Peak memory usage: 89 MB
% 44.90/7.19 % (604221)Instructions burned: 18 (million)
% 44.90/7.19 % (604223)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1800107498:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 44.90/7.19 % (604221)------------------------------
% 44.90/7.19 % (604221)------------------------------
% 44.90/7.19 % (604227)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=41296729:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 44.90/7.19 % (604220)Instruction limit reached!
% 44.90/7.19 % (604220)------------------------------
% 44.90/7.19 % (604220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.90/7.19 % (604220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.90/7.19 % (604220)CaDiCaL version: 2.1.3
% 44.90/7.19 % (604220)Termination reason: Instruction limit
% 44.90/7.19 % (604220)Termination phase: Saturation
% 44.90/7.19 % (604220)Time elapsed: 0.502 s
% 44.90/7.19 % (604220)Peak memory usage: 98 MB
% 44.90/7.19 % (604220)Instructions burned: 907 (million)
% 44.90/7.19 % (604227)Instruction limit reached!
% 44.90/7.19 % (604227)------------------------------
% 44.90/7.19 % (604227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.90/7.19 % (604227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.90/7.19 % (604227)CaDiCaL version: 2.1.3
% 44.90/7.19 % (604227)Termination reason: Instruction limit
% 44.90/7.19 % (604227)Termination phase: Saturation
% 44.90/7.19 % (604227)Time elapsed: 0.076 s
% 44.90/7.19 % (604227)Peak memory usage: 91 MB
% 44.90/7.19 % (604227)Instructions burned: 136 (million)
% 44.90/7.19 % (604229)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3147728938:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 44.90/7.19 % (604229)Refutation not found, incomplete strategy
% 44.90/7.19 % (604229)------------------------------
% 44.90/7.19 % (604229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.90/7.19 % (604229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.90/7.19 % (604229)CaDiCaL version: 2.1.3
% 44.90/7.19 % (604229)Termination reason: Refutation not found, incomplete strategy
% 44.90/7.19 % (604229)Time elapsed: 0.010 s
% 44.90/7.19 % (604229)Peak memory usage: 88 MB
% 44.90/7.19 % (604229)Instructions burned: 17 (million)
% 44.90/7.19 % (604230)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3105625339:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 44.90/7.19 % (604229)------------------------------
% 44.90/7.19 % (604229)------------------------------
% 44.90/7.19 % (604233)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=3915023476:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 73.70/11.21 % (604233)Instruction limit reached!
% 73.70/11.21 % (604233)------------------------------
% 73.70/11.21 % (604233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.70/11.21 % (604233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.70/11.21 % (604233)CaDiCaL version: 2.1.3
% 73.70/11.21 % (604233)Termination reason: Instruction limit
% 73.70/11.21 % (604233)Termination phase: Saturation
% 73.70/11.21 % (604233)Time elapsed: 0.075 s
% 73.70/11.21 % (604233)Peak memory usage: 90 MB
% 73.70/11.21 % (604233)Instructions burned: 125 (million)
% 73.70/11.21 % (604211)Instruction limit reached!
% 73.70/11.21 % (604211)------------------------------
% 73.70/11.21 % (604211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.70/11.21 % (604211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.70/11.21 % (604211)CaDiCaL version: 2.1.3
% 73.70/11.21 % (604211)Termination reason: Instruction limit
% 73.70/11.21 % (604211)Termination phase: Saturation
% 73.70/11.21 % (604211)Time elapsed: 1.519 s
% 73.70/11.21 % (604211)Peak memory usage: 141 MB
% 73.70/11.21 % (604211)Instructions burned: 2351 (million)
% 73.70/11.21 % (604235)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1721642025:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 73.70/11.21 % (604235)Instruction limit reached!
% 73.70/11.21 % (604235)------------------------------
% 73.70/11.21 % (604235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.70/11.21 % (604235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.70/11.21 % (604235)CaDiCaL version: 2.1.3
% 73.70/11.21 % (604235)Termination reason: Instruction limit
% 73.70/11.21 % (604235)Termination phase: Saturation
% 73.70/11.21 % (604235)Time elapsed: 0.074 s
% 73.70/11.21 % (604235)Peak memory usage: 90 MB
% 73.70/11.21 % (604235)Instructions burned: 135 (million)
% 73.70/11.21 % (604236)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3570298063:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 73.70/11.21 % (604236)Instruction limit reached!
% 73.70/11.21 % (604236)------------------------------
% 73.70/11.21 % (604236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.70/11.21 % (604236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.70/11.21 % (604236)CaDiCaL version: 2.1.3
% 73.70/11.21 % (604236)Termination reason: Instruction limit
% 73.70/11.21 % (604236)Termination phase: Saturation
% 73.70/11.21 % (604236)Time elapsed: 0.068 s
% 73.70/11.21 % (604236)Peak memory usage: 91 MB
% 73.70/11.21 % (604236)Instructions burned: 142 (million)
% 73.70/11.21 % (604238)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1197721811:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 73.70/11.21 % (604240)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=682064064:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 73.70/11.21 % (604223)Instruction limit reached!
% 73.70/11.21 % (604223)------------------------------
% 73.70/11.21 % (604223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.70/11.21 % (604223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.70/11.21 % (604223)CaDiCaL version: 2.1.3
% 73.70/11.21 % (604223)Termination reason: Instruction limit
% 73.70/11.21 % (604223)Termination phase: Saturation
% 73.70/11.21 % (604223)Time elapsed: 1.594 s
% 73.70/11.21 % (604223)Peak memory usage: 158 MB
% 73.70/11.21 % (604223)Instructions burned: 5203 (million)
% 73.70/11.21 % (604238)Instruction limit reached!
% 73.70/11.21 % (604238)------------------------------
% 73.70/11.21 % (604238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 73.70/11.21 % (604238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 73.70/11.21 % (604238)CaDiCaL version: 2.1.3
% 73.70/11.21 % (604238)Termination reason: Instruction limit
% 73.70/11.21 % (604238)Termination phase: Saturation
% 73.70/11.21 % (604238)Time elapsed: 0.220 s
% 73.70/11.21 % (604238)Peak memory usage: 93 MB
% 73.70/11.21 % (604238)Instructions burned: 432 (million)
% 73.70/11.21 % (604243)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=3633810694:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 50.13/14.15 % (604243)Instruction limit reached!
% 50.13/14.15 % (604243)------------------------------
% 50.13/14.15 % (604243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.13/14.15 % (604243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.13/14.15 % (604243)CaDiCaL version: 2.1.3
% 50.13/14.15 % (604243)Termination reason: Instruction limit
% 50.13/14.15 % (604243)Termination phase: Saturation
% 50.13/14.15 % (604243)Time elapsed: 0.053 s
% 50.13/14.15 % (604243)Peak memory usage: 91 MB
% 50.13/14.15 % (604243)Instructions burned: 153 (million)
% 50.13/14.15 % (604244)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2185001025:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 50.13/14.15 % (604246)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1304588234:i=667:av=off:fsr=off_2971 on theBenchmark for (2971ds/667Mi)
% 50.13/14.15 % (604246)Instruction limit reached!
% 50.13/14.15 % (604246)------------------------------
% 50.13/14.15 % (604246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.13/14.15 % (604246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.13/14.15 % (604246)CaDiCaL version: 2.1.3
% 50.13/14.15 % (604246)Termination reason: Instruction limit
% 50.13/14.15 % (604246)Termination phase: Saturation
% 50.13/14.15 % (604246)Time elapsed: 0.181 s
% 50.13/14.15 % (604246)Peak memory usage: 108 MB
% 50.13/14.15 % (604246)Instructions burned: 670 (million)
% 50.13/14.15 % (604249)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=2545388770:s2a=on:i=185:s2at=1.8:fdi=4_2968 on theBenchmark for (2968ds/185Mi)
% 50.13/14.15 % (604249)Instruction limit reached!
% 50.13/14.15 % (604249)------------------------------
% 50.13/14.15 % (604249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.13/14.15 % (604249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.13/14.15 % (604249)CaDiCaL version: 2.1.3
% 50.13/14.15 % (604249)Termination reason: Instruction limit
% 50.13/14.15 % (604249)Termination phase: Saturation
% 50.13/14.15 % (604249)Time elapsed: 0.051 s
% 50.13/14.15 % (604249)Peak memory usage: 91 MB
% 50.13/14.15 % (604249)Instructions burned: 185 (million)
% 50.13/14.15 % (604251)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=199352913:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2967 on theBenchmark for (2967ds/193Mi)
% 50.13/14.15 % (604251)Instruction limit reached!
% 50.13/14.15 % (604251)------------------------------
% 50.13/14.15 % (604251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.13/14.15 % (604251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.13/14.15 % (604251)CaDiCaL version: 2.1.3
% 50.13/14.15 % (604251)Termination reason: Instruction limit
% 50.13/14.15 % (604251)Termination phase: Saturation
% 50.13/14.15 % (604251)Time elapsed: 0.056 s
% 50.13/14.15 % (604251)Peak memory usage: 90 MB
% 50.13/14.15 % (604251)Instructions burned: 196 (million)
% 50.13/14.15 % (604253)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=434155914:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2965 on theBenchmark for (2965ds/4850Mi)
% 50.13/14.15 % (604253)Instruction limit reached!
% 50.13/14.15 % (604253)------------------------------
% 50.13/14.15 % (604253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.13/14.15 % (604253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.13/14.15 % (604253)CaDiCaL version: 2.1.3
% 50.13/14.15 % (604253)Termination reason: Instruction limit
% 50.13/14.15 % (604253)Termination phase: Saturation
% 50.13/14.15 % (604253)Time elapsed: 1.296 s
% 50.13/14.15 % (604253)Peak memory usage: 118 MB
% 50.13/14.15 % (604253)Instructions burned: 4854 (million)
% 50.13/14.15 % (604255)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=4111887190:i=12111:sd=1:ss=included_2950 on theBenchmark for (2950ds/12111Mi)
% 50.13/14.15 % (604240)Instruction limit reached!
% 50.13/14.15 % (604240)------------------------------
% 50.13/14.15 % (604240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.13/14.15 % (604240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.13/14.15 % (604240)CaDiCaL version: 2.1.3
% 50.13/14.15 % (604240)Termination reason: Instruction limit
% 50.13/14.15 % (604240)Termination phase: Saturation
% 50.13/14.15 % (604240)Time elapsed: 3.724 s
% 50.13/14.15 % (604240)Peak memory usage: 159 MB
% 50.13/14.15 % (604240)Instructions burned: 6061 (million)
% 50.13/14.15 % (604257)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3245059375:i=319:kws=precedence:fsr=off_2936 on theBenchmark for (2936ds/319Mi)
% 50.13/14.15 % (604257)Instruction limit reached!
% 50.13/14.15 % (604257)------------------------------
% 50.13/14.15 % (604257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.13/14.15 % (604257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.13/14.15 % (604257)CaDiCaL version: 2.1.3
% 50.13/14.15 % (604257)Termination reason: Instruction limit
% 50.13/14.15 % (604257)Termination phase: Saturation
% 50.13/14.15 % (604257)Time elapsed: 0.206 s
% 50.13/14.15 % (604257)Peak memory usage: 92 MB
% 50.13/14.15 % (604257)Instructions burned: 319 (million)
% 50.13/14.15 % (604259)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=787987564:i=2064:ep=RST_2932 on theBenchmark for (2932ds/2064Mi)
% 50.13/14.15 % (604259)Instruction limit reached!
% 50.13/14.15 % (604259)------------------------------
% 50.13/14.15 % (604259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.13/14.15 % (604259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.13/14.15 % (604259)CaDiCaL version: 2.1.3
% 50.13/14.15 % (604259)Termination reason: Instruction limit
% 50.13/14.15 % (604259)Termination phase: Saturation
% 50.13/14.15 % (604259)Time elapsed: 1.098 s
% 50.13/14.15 % (604259)Peak memory usage: 118 MB
% 50.13/14.15 % (604259)Instructions burned: 2064 (million)
% 50.13/14.15 % (604261)dis-1011_128_sil=32000:random_seed=1691156965:i=3706:ep=RST:av=off_2920 on theBenchmark for (2920ds/3706Mi)
% 50.13/14.15 % (604255)Instruction limit reached!
% 50.13/14.15 % (604255)------------------------------
% 50.13/14.15 % (604255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.13/14.15 % (604255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.13/14.15 % (604255)CaDiCaL version: 2.1.3
% 50.13/14.15 % (604255)Termination reason: Instruction limit
% 50.13/14.15 % (604255)Termination phase: Saturation
% 50.13/14.15 % (604255)Time elapsed: 4.026 s
% 50.13/14.15 % (604255)Peak memory usage: 274 MB
% 50.13/14.15 % (604255)Instructions burned: 12111 (million)
% 50.13/14.15 % (604263)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1236260338:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2909 on theBenchmark for (2909ds/757Mi)
% 50.13/14.15 % (604263)Instruction limit reached!
% 50.13/14.15 % (604263)------------------------------
% 50.13/14.15 % (604263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.13/14.15 % (604263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.13/14.15 % (604263)CaDiCaL version: 2.1.3
% 50.13/14.15 % (604263)Termination reason: Instruction limit
% 50.13/14.15 % (604263)Termination phase: Saturation
% 50.13/14.15 % (604263)Time elapsed: 0.312 s
% 50.13/14.15 % (604263)Peak memory usage: 94 MB
% 50.13/14.15 % (604263)Instructions burned: 760 (million)
% 50.13/14.15 % (604230)Instruction limit reached!
% 50.13/14.15 % (604230)------------------------------
% 50.13/14.15 % (604230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.13/14.15 % (604230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.13/14.15 % (604230)CaDiCaL version: 2.1.3
% 50.13/14.15 % (604230)Termination reason: Instruction limit
% 50.13/14.15 % (604230)Termination phase: Saturation
% 50.13/14.15 % (604230)Time elapsed: 7.948 s
% 50.13/14.15 % (604230)Peak memory usage: 243 MB
% 50.13/14.15 % (604230)Instructions burned: 13194 (million)
% 50.13/14.15 % (604265)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1984986225:i=13913:ss=axioms:sgt=8_2904 on theBenchmark for (2904ds/13913Mi)
% 50.13/14.15 % (604266)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=1992775040:i=9925:aac=none_2904 on theBenchmark for (2904ds/9925Mi)
% 50.13/14.15 % (604261)Instruction limit reached!
% 50.13/14.15 % (604261)------------------------------
% 50.13/14.15 % (604261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.13/14.15 % (604261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.13/14.15 % (604261)CaDiCaL version: 2.1.3
% 50.13/14.15 % (604261)Termination reason: Instruction limit
% 50.13/14.15 % (604261)Termination phase: Saturation
% 50.13/14.15 % (604261)Time elapsed: 2.206 s
% 50.13/14.15 % (604261)Peak memory usage: 105 MB
% 50.13/14.15 % (604261)Instructions burned: 3707 (million)
% 50.13/14.15 % (604269)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=4050677078:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2896 on theBenchmark for (2896ds/2479Mi)
% 50.13/14.15 % (604269)Refutation not found, incomplete strategy
% 50.13/14.15 % (604269)------------------------------
% 50.13/14.15 % (604269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.13/14.15 % (604269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.13/14.15 % (604269)CaDiCaL version: 2.1.3
% 50.13/14.15 % (604269)Termination reason: Refutation not found, incomplete strategy
% 50.13/14.15 % (604269)Time elapsed: 0.006 s
% 50.13/14.15 % (604269)Peak memory usage: 89 MB
% 50.13/14.15 % (604269)Instructions burned: 7 (million)
% 50.13/14.15 % (604269)------------------------------
% 50.13/14.15 % (604269)------------------------------
% 50.13/14.15 % (604244)Instruction limit reached!
% 50.13/14.15 % (604244)------------------------------
% 50.13/14.15 % (604244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.13/14.15 % (604244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.13/14.15 % (604244)CaDiCaL version: 2.1.3
% 50.13/14.15 % (604244)Termination reason: Instruction limit
% 50.13/14.15 % (604244)Termination phase: Saturation
% 50.13/14.15 % (604244)Time elapsed: 8.044 s
% 50.13/14.15 % (604244)Peak memory usage: 255 MB
% 50.13/14.15 % (604244)Instructions burned: 14155 (million)
% 50.13/14.15 % (604271)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=4219133473:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2891 on theBenchmark for (2891ds/440Mi)
% 50.13/14.15 % (604272)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3088090404:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2890 on theBenchmark for (2890ds/11145Mi)
% 50.13/14.15 % (604271)Instruction limit reached!
% 50.13/14.15 % (604271)------------------------------
% 50.13/14.15 % (604271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.13/14.15 % (604271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.13/14.15 % (604271)CaDiCaL version: 2.1.3
% 50.13/14.15 % (604271)Termination reason: Instruction limit
% 50.13/14.15 % (604271)Termination phase: Saturation
% 50.13/14.15 % (604271)Time elapsed: 0.239 s
% 50.13/14.15 % (604271)Peak memory usage: 94 MB
% 50.13/14.15 % (604271)Instructions burned: 441 (million)
% 50.13/14.15 % (604275)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=1101611827:cts=off:i=3034:av=off:er=known:fsd=on_2887 on theBenchmark for (2887ds/3034Mi)
% 50.13/14.15 % (604266)First to succeed.
% 50.13/14.15 % (604266)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-604184"
% 50.13/14.15 % (604275)Instruction limit reached!
% 50.13/14.15 % (604275)------------------------------
% 50.13/14.15 % (604275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.13/14.15 % (604275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.13/14.15 % (604275)CaDiCaL version: 2.1.3
% 50.13/14.15 % (604275)Termination reason: Instruction limit
% 50.13/14.15 % (604275)Termination phase: Saturation
% 50.13/14.15 % (604275)Time elapsed: 1.561 s
% 50.13/14.15 % (604275)Peak memory usage: 134 MB
% 50.13/14.15 % (604275)Instructions burned: 3036 (million)
% 50.13/14.15 % (604278)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3819055908:st=2:s2a=on:i=524:s2at=2:ss=axioms_2869 on theBenchmark for (2869ds/524Mi)
% 50.13/14.15 % (604266)Refutation found. Thanks to Tanya!
% 50.13/14.15 % SZS status Theorem for theBenchmark
% 50.13/14.15 % SZS output start Proof for theBenchmark
% See solution above
% 94.60/14.35 % (604266)------------------------------
% 94.60/14.35 % (604266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 94.60/14.35 % (604266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.60/14.35 % (604266)CaDiCaL version: 2.1.3
% 94.60/14.35 % (604266)Termination reason: Refutation
% 94.60/14.35 % (604266)Time elapsed: 3.243 s
% 94.60/14.35 % (604266)Peak memory usage: 168 MB
% 94.60/14.35 % (604266)Instructions burned: 5623 (million)
% 94.60/14.35 % (604266)------------------------------
% 94.60/14.35 % (604266)------------------------------
% 94.60/14.35 % (604184)Success in time 13.303 s
% 94.60/14.35 % Vampire exiting
%------------------------------------------------------------------------------