%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT318+3 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:52 AM UTC 2026
% Result : Theorem 81.74s 19.46s
% Output : Refutation 127.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 82
% Syntax : Number of formulae : 640 ( 101 unt; 40 def)
% Number of atoms : 2607 ( 291 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 3268 (1301 ~;1638 |; 208 &)
% ( 55 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 61 ( 59 usr; 41 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 5 con; 0-3 aty)
% Number of variables : 640 ( 2 sgn 623 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f29,axiom,
! [X0] :
( X0 = k1_xboole_0
<=> ! [X1] : ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f33,axiom,
! [X0] :
( v1_xboole_0(X0)
<=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_xboole_0) ).
fof(f54,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f55,axiom,
! [X0,X1] : k2_xboole_0(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
fof(f71,axiom,
! [X0] : r1_tarski(k1_xboole_0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f73,axiom,
! [X0,X1,X2] : k2_xboole_0(k2_xboole_0(X0,X1),X2) = k2_xboole_0(X0,k2_xboole_0(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_xboole_1) ).
fof(f81,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k2_xboole_0(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f567,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(f570,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(f678,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f679,axiom,
! [X0,X1,X2] :
~ ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(f3551,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_card_1) ).
fof(f8588,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f8589,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_filter_0(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_filter_0) ).
fof(f8625,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))) )
=> k5_filter_0(X0,X1,X2) = k5_filter_0(X0,X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_filter_0) ).
fof(f8628,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ! [X2] :
( m1_filter_0(X2,X0)
=> k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k5_filter_0(X0,X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_filter_0) ).
fof(f8673,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(f9358,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(f9363,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(f9391,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f9463,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(f12317,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(f13532,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(f13533,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(f13537,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(f13543,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(f13562,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(f13563,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(f13568,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m2_filter_2(k19_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k19_filter_2) ).
fof(f13569,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k20_filter_2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k20_filter_2) ).
fof(f13581,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_filter_2(X0,X1,X2)
<=> ! [X3] :
( m1_subset_1(X3,X0)
=> ( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_filter_2) ).
fof(f13602,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(f13608,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_hidden(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_filter_2) ).
fof(f13624,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] :
( m2_filter_2(X2,X0)
=> ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( m2_filter_2(X3,X0)
=> ( r1_tarski(X1,X3)
=> r1_tarski(X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_filter_2) ).
fof(f13626,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(f13635,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))) )
=> k20_filter_2(X0,X1,X2) = a_3_0_filter_2(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_filter_2) ).
fof(f13636,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ~ v1_xboole_0(k20_filter_2(X0,X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_filter_2) ).
fof(f13638,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(f13642,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))) )
=> ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),k19_filter_2(X0,X1),X2)))
& r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,k19_filter_2(X0,X2)))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t49_filter_2) ).
fof(f13643,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,X0)
=> k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = a_3_1_filter_2(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_filter_2) ).
fof(f13645,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,X0)
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k20_filter_2(X0,X1,X2))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_filter_2) ).
fof(f13646,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> ! [X2] :
( m2_filter_2(X2,X0)
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k20_filter_2(X0,X1,X2))) ) ) ),
inference(negated_conjecture,[status(cth)],[f13645]) ).
fof(f13651,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f18]) ).
fof(f13655,plain,
! [X0] : k2_xboole_0(X0,X0) = X0,
inference(rectify,[],[f55]) ).
fof(f13695,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,[],[f13532]) ).
fof(f13696,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,[],[f13695]) ).
fof(f13697,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,[],[f13533]) ).
fof(f13698,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,[],[f13697]) ).
fof(f13705,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,[],[f13537]) ).
fof(f13706,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,[],[f13705]) ).
fof(f13717,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,[],[f13543]) ).
fof(f13718,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,[],[f13717]) ).
fof(f13755,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,[],[f13562]) ).
fof(f13756,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,[],[f13755]) ).
fof(f13757,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,[],[f13563]) ).
fof(f13758,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,[],[f13757]) ).
fof(f13767,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f13568]) ).
fof(f13768,plain,
! [X0,X1] :
( m2_filter_2(k19_filter_2(X0,X1),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f13767]) ).
fof(f13769,plain,
! [X0,X1,X2] :
( m1_subset_1(k20_filter_2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f13569]) ).
fof(f13770,plain,
! [X0,X1,X2] :
( m1_subset_1(k20_filter_2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f13769]) ).
fof(f13793,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_filter_2(X0,X1,X2)
<=> ! [X3] :
( ( r2_hidden(X3,X1)
<=> r2_hidden(X3,X2) )
| ~ m1_subset_1(X3,X0) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f13581]) ).
fof(f13832,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,[],[f13602]) ).
fof(f13833,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,[],[f13832]) ).
fof(f13844,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_hidden(X2,X1) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13608]) ).
fof(f13845,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
& r2_hidden(X2,X1) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13844]) ).
fof(f13876,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) ) )
| ~ m2_filter_2(X2,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,[],[f13624]) ).
fof(f13877,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k19_filter_2(X0,X1)
<=> ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) ) )
| ~ m2_filter_2(X2,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,[],[f13876]) ).
fof(f13880,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,[],[f13626]) ).
fof(f13881,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,[],[f13880]) ).
fof(f13898,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k20_filter_2(X0,X1,X2) = a_3_0_filter_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13635]) ).
fof(f13899,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k20_filter_2(X0,X1,X2) = a_3_0_filter_2(X0,X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13898]) ).
fof(f13900,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(k20_filter_2(X0,X1,X2))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f13636]) ).
fof(f13901,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(k20_filter_2(X0,X1,X2))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f13900]) ).
fof(f13904,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,[],[f13638]) ).
fof(f13905,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,[],[f13904]) ).
fof(f13912,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),k19_filter_2(X0,X1),X2)))
& r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,k19_filter_2(X0,X2)))) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13642]) ).
fof(f13913,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),k19_filter_2(X0,X1),X2)))
& r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,k19_filter_2(X0,X2)))) )
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13912]) ).
fof(f13914,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = a_3_1_filter_2(X0,X1,X2)
| ~ m2_filter_2(X2,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13643]) ).
fof(f13915,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = a_3_1_filter_2(X0,X1,X2)
| ~ m2_filter_2(X2,X0) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13914]) ).
fof(f13918,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k20_filter_2(X0,X1,X2)))
& m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f13646]) ).
fof(f13919,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k20_filter_2(X0,X1,X2)))
& m2_filter_2(X2,X0) )
& m2_filter_2(X1,X0) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f13918]) ).
fof(f13929,plain,
! [X0,X1,X2] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(ennf_transformation,[],[f679]) ).
fof(f13936,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f678]) ).
fof(f13937,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f13936]) ).
fof(f13958,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,[],[f12317]) ).
fof(f13959,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,[],[f13958]) ).
fof(f13972,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,[],[f8673]) ).
fof(f13973,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,[],[f13972]) ).
fof(f13974,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8588]) ).
fof(f13975,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13974]) ).
fof(f13992,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8589]) ).
fof(f13993,plain,
! [X0] :
( k1_filter_0(X0) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13992]) ).
fof(f14034,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k5_filter_0(X0,X1,X2))
| ~ m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8628]) ).
fof(f14035,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k5_filter_0(X0,X1,X2))
| ~ m1_filter_0(X2,X0) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14034]) ).
fof(f14038,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_filter_0(X0,X1,X2) = k5_filter_0(X0,X2,X1)
| 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,[],[f8625]) ).
fof(f14039,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_filter_0(X0,X1,X2) = k5_filter_0(X0,X2,X1)
| 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,[],[f14038]) ).
fof(f14058,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9391]) ).
fof(f14059,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14058]) ).
fof(f14071,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9463]) ).
fof(f14074,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,[],[f9363]) ).
fof(f14075,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,[],[f14074]) ).
fof(f14076,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9358]) ).
fof(f14077,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14076]) ).
fof(f14437,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,[],[f570]) ).
fof(f14438,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,[],[f14437]) ).
fof(f14443,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,[],[f567]) ).
fof(f14444,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,[],[f14443]) ).
fof(f15041,plain,
! [X0,X1] :
( k2_xboole_0(X0,X1) = X1
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f18251,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,[],[f13696]) ).
fof(f18253,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,[],[f13706]) ).
fof(f18254,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ? [X3] :
( ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X1) )
& m1_subset_1(X3,X0) ) )
& ( ! [X3] :
( ( ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) ) )
| ~ m1_subset_1(X3,X0) )
| ~ r1_filter_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f13793]) ).
fof(f18255,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ? [X3] :
( ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X1) )
& m1_subset_1(X3,X0) ) )
& ( ! [X3] :
( ( ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) ) )
| ~ m1_subset_1(X3,X0) )
| ~ r1_filter_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f18254]) ).
fof(f18256,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ? [X3] :
( ( ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X1) )
& m1_subset_1(X3,X0) ) )
& ( ! [X4] :
( ( ( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) )
& ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X1) ) )
| ~ m1_subset_1(X4,X0) )
| ~ r1_filter_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(rectify,[],[f18255]) ).
fof(f18257,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_filter_2(X0,X1,X2)
| ( ( ~ r2_hidden(sK22(X0,X1,X2),X2)
| ~ r2_hidden(sK22(X0,X1,X2),X1) )
& ( r2_hidden(sK22(X0,X1,X2),X2)
| r2_hidden(sK22(X0,X1,X2),X1) )
& m1_subset_1(sK22(X0,X1,X2),X0) ) )
& ( ! [X4] :
( ( ( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) )
& ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X1) ) )
| ~ m1_subset_1(X4,X0) )
| ~ r1_filter_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) )
| v1_xboole_0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X3,sK22(X0,X1,X2))],[f18256]) ).
fof(f18279,plain,
! [X0] :
( ! [X1] :
( ( m1_subset_1(sK35(X0,X1),u1_struct_0(X0))
& r2_hidden(sK35(X0,X1),X1) )
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X2,sK35(X0,X1))],[f13845]) ).
fof(f18288,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,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(nnf_transformation,[],[f13877]) ).
fof(f18289,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X3] :
( r1_tarski(X2,X3)
| ~ r1_tarski(X1,X3)
| ~ m2_filter_2(X3,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,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,[],[f18288]) ).
fof(f18290,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ? [X3] :
( ~ r1_tarski(X2,X3)
& r1_tarski(X1,X3)
& m2_filter_2(X3,X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,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(rectify,[],[f18289]) ).
fof(f18291,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ( ~ r1_tarski(X2,sK39(X0,X1,X2))
& r1_tarski(X1,sK39(X0,X1,X2))
& m2_filter_2(sK39(X0,X1,X2),X0) ) )
& ( ( r1_tarski(X1,X2)
& ! [X4] :
( r1_tarski(X2,X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0) ) )
| k19_filter_2(X0,X1) != X2 ) )
| ~ m2_filter_2(X2,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(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(X3,sK39(X0,X1,X2))],[f18290]) ).
fof(f18298,plain,
( ~ r1_filter_2(u1_struct_0(sK44),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),sK45,sK46)),k19_filter_2(sK44,k20_filter_2(sK44,sK45,sK46)))
& m2_filter_2(sK46,sK44)
& m2_filter_2(sK45,sK44)
& ~ v3_struct_0(sK44)
& v10_lattices(sK44)
& l3_lattices(sK44) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44,sK45,sK46]),skolemize(X0,sK44),skolemize(X1,sK45),skolemize(X2,sK46)],[f13919]) ).
fof(f18562,plain,
! [X0] :
( ( v1_xboole_0(X0)
| k1_xboole_0 != X0 )
& ( X0 = k1_xboole_0
| ~ v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f18563,plain,
! [X0] :
( ( X0 = k1_xboole_0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X1] : ~ r2_hidden(X1,X0)
| k1_xboole_0 != X0 ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f18564,plain,
! [X0] :
( ( X0 = k1_xboole_0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(rectify,[],[f18563]) ).
fof(f18565,plain,
! [X0] :
( ( X0 = k1_xboole_0
| r2_hidden(sK181(X0),X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK181]),skolemize(X1,sK181(X0))],[f18564]) ).
fof(f19742,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f18251]) ).
fof(f19744,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| m2_lattice4(X1,X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13698]) ).
fof(f19745,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,[],[f13698]) ).
fof(f19750,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,[],[f18253]) ).
fof(f19756,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k3_filter_0(X0,X1) = k3_filter_2(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f13718]) ).
fof(f19777,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_2(k15_filter_2(X0,X1),k1_lattice2(X0))
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f13756]) ).
fof(f19778,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| k7_filter_2(X0,X1) = k15_filter_2(X0,X1)
| ~ l3_lattices(X0)
| ~ m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f13758]) ).
fof(f19783,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| m2_filter_2(k19_filter_2(X0,X1),X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f13768]) ).
fof(f19784,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_subset_1(k20_filter_2(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f13770]) ).
fof(f19804,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| ~ m1_subset_1(X4,X0)
| ~ r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f18257]) ).
fof(f19857,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| k7_filter_2(X0,X1) = X1
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13833]) ).
fof(f19876,plain,
! [X0,X1] :
( r2_hidden(sK35(X0,X1),X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f18279]) ).
fof(f19910,plain,
! [X2,X0,X1] :
( r1_tarski(X1,sK39(X0,X1,X2))
| ~ r1_tarski(X1,X2)
| k19_filter_2(X0,X1) = X2
| ~ m2_filter_2(X2,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,[],[f18291]) ).
fof(f19911,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X0)
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,sK39(X0,X1,X2))
| ~ m2_filter_2(X2,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| k19_filter_2(X0,X1) = X2
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f18291]) ).
fof(f19917,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X2)
| k19_filter_2(X0,X1) = k3_filter_2(k1_lattice2(X0),k7_filter_2(X0,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13881]) ).
fof(f19937,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X0)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| k20_filter_2(X0,X1,X2) = a_3_0_filter_2(X0,X1,X2)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13899]) ).
fof(f19938,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ v1_xboole_0(k20_filter_2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f13901]) ).
fof(f19943,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X0))))
| v1_xboole_0(X4)
| k20_filter_2(X0,X1,X2) = k5_filter_0(k1_lattice2(X0),k7_filter_2(X0,X1),k7_filter_2(X0,X2))
| v1_xboole_0(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,[],[f13905]) ).
fof(f19952,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X0)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,k19_filter_2(X0,X2))))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13913]) ).
fof(f19954,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X0)
| ~ m2_filter_2(X2,X0)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = a_3_1_filter_2(X0,X1,X2)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13915]) ).
fof(f19957,plain,
l3_lattices(sK44),
inference(cnf_transformation,[],[f18298]) ).
fof(f19958,plain,
v10_lattices(sK44),
inference(cnf_transformation,[],[f18298]) ).
fof(f19959,plain,
~ v3_struct_0(sK44),
inference(cnf_transformation,[],[f18298]) ).
fof(f19960,plain,
m2_filter_2(sK45,sK44),
inference(cnf_transformation,[],[f18298]) ).
fof(f19961,plain,
m2_filter_2(sK46,sK44),
inference(cnf_transformation,[],[f18298]) ).
fof(f19962,plain,
~ r1_filter_2(u1_struct_0(sK44),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),sK45,sK46)),k19_filter_2(sK44,k20_filter_2(sK44,sK45,sK46))),
inference(cnf_transformation,[],[f18298]) ).
fof(f19974,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f13929]) ).
fof(f19990,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f13937]) ).
fof(f20020,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m2_lattice4(X1,X0)
| v3_struct_0(X0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13959]) ).
fof(f20035,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(X1)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13973]) ).
fof(f20036,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(u1_struct_0(X0),X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13975]) ).
fof(f20050,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k1_filter_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f13993]) ).
fof(f20089,plain,
! [X2,X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_filter_0(X2,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k3_filter_0(X0,k4_subset_1(u1_struct_0(X0),X1,X2)) = k3_filter_0(X0,k5_filter_0(X0,X1,X2)) ),
inference(cnf_transformation,[],[f14035]) ).
fof(f20092,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_xboole_0(X1)
| k5_filter_0(X0,X1,X2) = k5_filter_0(X0,X2,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14039]) ).
fof(f20113,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f14059]) ).
fof(f20135,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f14071]) ).
fof(f20138,plain,
! [X0] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14075]) ).
fof(f20148,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14077]) ).
fof(f20636,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f13651]) ).
fof(f20684,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k2_xboole_0(X1,X2) = k4_subset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f14438]) ).
fof(f20687,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f14444]) ).
fof(f20910,plain,
! [X0] : r1_tarski(k1_xboole_0,X0),
inference(cnf_transformation,[],[f71]) ).
fof(f20912,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f18562]) ).
fof(f20914,plain,
! [X2,X0] :
( ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ),
inference(cnf_transformation,[],[f18565]) ).
fof(f21537,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k2_xboole_0(X0,X1) = X1 ),
inference(cnf_transformation,[],[f15041]) ).
fof(f21545,plain,
! [X2,X0,X1] : k2_xboole_0(k2_xboole_0(X0,X1),X2) = k2_xboole_0(X0,k2_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f73]) ).
fof(f21547,plain,
! [X0] : k2_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f13655]) ).
fof(f21548,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f22503,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f3551]) ).
fof(f25981,plain,
! [X0] : r1_tarski(np__0,X0),
inference(definition_unfolding,[],[f20910,f22503]) ).
fof(f25984,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| np__0 = X0 ),
inference(definition_unfolding,[],[f20912,f22503]) ).
fof(f25986,plain,
! [X2,X0] :
( ~ r2_hidden(X2,X0)
| np__0 != X0 ),
inference(definition_unfolding,[],[f20914,f22503]) ).
fof(f27163,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,[],[f19750]) ).
fof(f27258,plain,
! [X2] : ~ r2_hidden(X2,np__0),
inference(equality_resolution,[],[f25986]) ).
fof(f27822,plain,
! [X2,X0] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| r1_filter_2(X0,X2,X2) ),
inference(duplicate_literal_removal,[],[f27163]) ).
fof(f28368,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| ~ m1_subset_1(X4,X0)
| ~ r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f19804,f19974]) ).
fof(f28536,plain,
! [X2,X0,X1,X4] :
( ~ r2_hidden(X4,X2)
| r2_hidden(X4,X1)
| ~ r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f28368,f19990]) ).
fof(f28690,plain,
! [X0,X1] :
( ~ m2_filter_2(X0,sK44)
| ~ m2_filter_2(X1,sK44)
| v3_struct_0(sK44)
| k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),X1,X0)) = a_3_1_filter_2(sK44,X1,X0)
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f19958,f19954]) ).
fof(f28693,plain,
! [X0,X1] :
( ~ m2_filter_2(X0,sK44)
| ~ m2_filter_2(X1,sK44)
| k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),X1,X0)) = a_3_1_filter_2(sK44,X1,X0)
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f28690,f19959]) ).
fof(f28695,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,sK44)
| ~ m2_filter_2(X0,sK44)
| k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),X1,X0)) = a_3_1_filter_2(sK44,X1,X0) ),
inference(forward_subsumption_resolution,[],[f28693,f19957]) ).
fof(f28696,plain,
( v3_struct_0(sK44)
| u1_struct_0(sK44) = k1_filter_0(sK44)
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f20050,f19958]) ).
fof(f28697,plain,
( u1_struct_0(sK44) = k1_filter_0(sK44)
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f28696,f19959]) ).
fof(f28698,plain,
u1_struct_0(sK44) = k1_filter_0(sK44),
inference(forward_subsumption_resolution,[],[f28697,f19957]) ).
fof(f28700,plain,
~ r1_filter_2(k1_filter_0(sK44),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),sK45,sK46)),k19_filter_2(sK44,k20_filter_2(sK44,sK45,sK46))),
inference(superposition,[],[f19962,f28698]) ).
fof(f28718,plain,
! [X0] :
( v3_struct_0(sK44)
| k7_filter_2(sK44,X0) = k15_filter_2(sK44,X0)
| ~ l3_lattices(sK44)
| ~ m2_filter_2(X0,sK44) ),
inference(resolution,[],[f19778,f19958]) ).
fof(f28719,plain,
! [X0] :
( k7_filter_2(sK44,X0) = k15_filter_2(sK44,X0)
| ~ l3_lattices(sK44)
| ~ m2_filter_2(X0,sK44) ),
inference(forward_subsumption_resolution,[],[f28718,f19959]) ).
fof(f28720,plain,
! [X0] :
( ~ m2_filter_2(X0,sK44)
| k7_filter_2(sK44,X0) = k15_filter_2(sK44,X0) ),
inference(forward_subsumption_resolution,[],[f28719,f19957]) ).
fof(f28721,plain,
( v3_struct_0(sK44)
| u1_struct_0(sK44) = u1_struct_0(k1_lattice2(sK44)) ),
inference(resolution,[],[f20113,f19957]) ).
fof(f28722,plain,
u1_struct_0(sK44) = u1_struct_0(k1_lattice2(sK44)),
inference(forward_subsumption_resolution,[],[f28721,f19959]) ).
fof(f28723,plain,
k1_filter_0(sK44) = u1_struct_0(k1_lattice2(sK44)),
inference(forward_demodulation,[],[f28722,f28698]) ).
fof(f28733,definition,
( spl874_43
<=> v3_struct_0(k1_lattice2(sK44)) ),
introduced(definition,[new_symbols(definition,[spl874_43])],[avatar_definition]) ).
fof(f28734,plain,
( v3_struct_0(k1_lattice2(sK44))
| ~ spl874_43 ),
inference(avatar_component_clause,[],[f28733]) ).
fof(f28751,plain,
k7_filter_2(sK44,sK46) = k15_filter_2(sK44,sK46),
inference(resolution,[],[f28720,f19961]) ).
fof(f28752,plain,
k7_filter_2(sK44,sK45) = k15_filter_2(sK44,sK45),
inference(resolution,[],[f28720,f19960]) ).
fof(f28758,plain,
( v3_struct_0(sK44)
| m1_filter_0(u1_struct_0(sK44),sK44)
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f20036,f19958]) ).
fof(f28759,plain,
( m1_filter_0(u1_struct_0(sK44),sK44)
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f28758,f19959]) ).
fof(f28760,plain,
m1_filter_0(u1_struct_0(sK44),sK44),
inference(forward_subsumption_resolution,[],[f28759,f19957]) ).
fof(f28761,plain,
m1_filter_0(k1_filter_0(sK44),sK44),
inference(forward_demodulation,[],[f28760,f28698]) ).
fof(f28762,plain,
! [X0] :
( ~ m2_filter_2(X0,sK44)
| k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),sK46,X0)) = a_3_1_filter_2(sK44,sK46,X0) ),
inference(resolution,[],[f28695,f19961]) ).
fof(f28763,plain,
! [X0] :
( ~ m2_filter_2(X0,sK44)
| k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),sK45,X0)) = a_3_1_filter_2(sK44,sK45,X0) ),
inference(resolution,[],[f28695,f19960]) ).
fof(f28766,plain,
! [X0] :
( ~ m2_filter_2(X0,sK44)
| a_3_1_filter_2(sK44,sK45,X0) = k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),sK45,X0)) ),
inference(forward_demodulation,[],[f28763,f28698]) ).
fof(f28767,plain,
! [X0] :
( ~ m2_filter_2(X0,sK44)
| a_3_1_filter_2(sK44,sK46,X0) = k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),sK46,X0)) ),
inference(forward_demodulation,[],[f28762,f28698]) ).
fof(f28772,plain,
a_3_1_filter_2(sK44,sK46,sK46) = k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),sK46,sK46)),
inference(resolution,[],[f28767,f19961]) ).
fof(f28797,plain,
k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),sK45,sK46)) = a_3_1_filter_2(sK44,sK45,sK46),
inference(resolution,[],[f28766,f19961]) ).
fof(f28813,plain,
~ r1_filter_2(k1_filter_0(sK44),a_3_1_filter_2(sK44,sK45,sK46),k19_filter_2(sK44,k20_filter_2(sK44,sK45,sK46))),
inference(superposition,[],[f28700,f28797]) ).
fof(f28831,plain,
l3_lattices(k1_lattice2(sK44)),
inference(resolution,[],[f20135,f19957]) ).
fof(f28854,plain,
( v3_struct_0(sK44)
| ~ l3_lattices(sK44)
| ~ spl874_43 ),
inference(resolution,[],[f20148,f28734]) ).
fof(f28856,plain,
( ~ l3_lattices(sK44)
| ~ spl874_43 ),
inference(forward_subsumption_resolution,[],[f28854,f19959]) ).
fof(f28857,plain,
( $false
| ~ spl874_43 ),
inference(forward_subsumption_resolution,[],[f28856,f19957]) ).
fof(f28858,plain,
~ spl874_43,
inference(avatar_contradiction_clause,[],[f28857]) ).
fof(f28865,plain,
! [X0] :
( ~ m2_filter_2(X0,sK44)
| v3_struct_0(sK44)
| m2_lattice4(X0,sK44)
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f19744,f19958]) ).
fof(f28866,plain,
! [X0] :
( ~ m2_filter_2(X0,sK44)
| m2_lattice4(X0,sK44)
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f28865,f19959]) ).
fof(f28867,plain,
! [X0] :
( ~ m2_filter_2(X0,sK44)
| m2_lattice4(X0,sK44) ),
inference(forward_subsumption_resolution,[],[f28866,f19957]) ).
fof(f28868,plain,
m2_lattice4(sK46,sK44),
inference(resolution,[],[f28867,f19961]) ).
fof(f28869,plain,
m2_lattice4(sK45,sK44),
inference(resolution,[],[f28867,f19960]) ).
fof(f28872,plain,
( v3_struct_0(sK44)
| v10_lattices(k1_lattice2(sK44))
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f20138,f19958]) ).
fof(f28874,plain,
( v10_lattices(k1_lattice2(sK44))
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f28872,f19959]) ).
fof(f28879,plain,
v10_lattices(k1_lattice2(sK44)),
inference(forward_subsumption_resolution,[],[f28874,f19957]) ).
fof(f28969,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k19_filter_2(sK44,X1) = k3_filter_2(k1_lattice2(sK44),k7_filter_2(sK44,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44)))
| v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44) ),
inference(superposition,[],[f19917,f28723]) ).
fof(f28970,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k19_filter_2(sK44,X1) = k3_filter_2(k1_lattice2(sK44),k7_filter_2(sK44,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44)))
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f28969,f19959]) ).
fof(f28971,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k19_filter_2(sK44,X1) = k3_filter_2(k1_lattice2(sK44),k7_filter_2(sK44,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44)))
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f28970,f19958]) ).
fof(f28972,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k19_filter_2(sK44,X1) = k3_filter_2(k1_lattice2(sK44),k7_filter_2(sK44,X1))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(forward_subsumption_resolution,[],[f28971,f19957]) ).
fof(f28973,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k19_filter_2(sK44,X1) = k3_filter_2(k1_lattice2(sK44),k7_filter_2(sK44,X1))
| v1_xboole_0(X1) ),
inference(forward_demodulation,[],[f28972,f28698]) ).
fof(f28975,definition,
( spl874_68
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl874_68])],[avatar_definition]) ).
fof(f28976,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0) )
| ~ spl874_68 ),
inference(avatar_component_clause,[],[f28975]) ).
fof(f28978,definition,
( spl874_69
<=> ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X1)
| k19_filter_2(sK44,X1) = k3_filter_2(k1_lattice2(sK44),k7_filter_2(sK44,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl874_69])],[avatar_definition]) ).
fof(f28979,plain,
( ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X1)
| k19_filter_2(sK44,X1) = k3_filter_2(k1_lattice2(sK44),k7_filter_2(sK44,X1)) )
| ~ spl874_69 ),
inference(avatar_component_clause,[],[f28978]) ).
fof(f28980,plain,
( spl874_68
| spl874_69 ),
inference(avatar_split_clause,[],[f28973,f28978,f28975]) ).
fof(f28981,plain,
! [X0] :
( v3_struct_0(sK44)
| m1_filter_2(k15_filter_2(sK44,X0),k1_lattice2(sK44))
| ~ l3_lattices(sK44)
| ~ m2_filter_2(X0,sK44) ),
inference(resolution,[],[f19777,f19958]) ).
fof(f28984,plain,
! [X0] :
( m1_filter_2(k15_filter_2(sK44,X0),k1_lattice2(sK44))
| ~ l3_lattices(sK44)
| ~ m2_filter_2(X0,sK44) ),
inference(forward_subsumption_resolution,[],[f28981,f19959]) ).
fof(f28989,plain,
! [X0] :
( m1_filter_2(k15_filter_2(sK44,X0),k1_lattice2(sK44))
| ~ m2_filter_2(X0,sK44) ),
inference(forward_subsumption_resolution,[],[f28984,f19957]) ).
fof(f28991,plain,
( m1_filter_2(k7_filter_2(sK44,sK45),k1_lattice2(sK44))
| ~ m2_filter_2(sK45,sK44) ),
inference(superposition,[],[f28989,f28752]) ).
fof(f28992,plain,
( m1_filter_2(k7_filter_2(sK44,sK46),k1_lattice2(sK44))
| ~ m2_filter_2(sK46,sK44) ),
inference(superposition,[],[f28989,f28751]) ).
fof(f28993,plain,
m1_filter_2(k7_filter_2(sK44,sK46),k1_lattice2(sK44)),
inference(forward_subsumption_resolution,[],[f28992,f19961]) ).
fof(f28994,plain,
m1_filter_2(k7_filter_2(sK44,sK45),k1_lattice2(sK44)),
inference(forward_subsumption_resolution,[],[f28991,f19960]) ).
fof(f29001,plain,
( m1_filter_0(k7_filter_2(sK44,sK46),k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44))
| ~ v10_lattices(k1_lattice2(sK44))
| ~ l3_lattices(k1_lattice2(sK44)) ),
inference(resolution,[],[f28993,f19742]) ).
fof(f29002,plain,
( m1_filter_0(k7_filter_2(sK44,sK46),k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44))
| ~ l3_lattices(k1_lattice2(sK44)) ),
inference(forward_subsumption_resolution,[],[f29001,f28879]) ).
fof(f29003,plain,
( m1_filter_0(k7_filter_2(sK44,sK46),k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44)) ),
inference(forward_subsumption_resolution,[],[f29002,f28831]) ).
fof(f29005,definition,
( spl874_72
<=> m1_filter_0(k7_filter_2(sK44,sK46),k1_lattice2(sK44)) ),
introduced(definition,[new_symbols(definition,[spl874_72])],[avatar_definition]) ).
fof(f29006,plain,
( m1_filter_0(k7_filter_2(sK44,sK46),k1_lattice2(sK44))
| ~ spl874_72 ),
inference(avatar_component_clause,[],[f29005]) ).
fof(f29007,plain,
( spl874_43
| spl874_72 ),
inference(avatar_split_clause,[],[f29003,f29005,f28733]) ).
fof(f29008,plain,
( m1_filter_0(k7_filter_2(sK44,sK45),k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44))
| ~ v10_lattices(k1_lattice2(sK44))
| ~ l3_lattices(k1_lattice2(sK44)) ),
inference(resolution,[],[f28994,f19742]) ).
fof(f29009,plain,
( m1_filter_0(k7_filter_2(sK44,sK45),k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44))
| ~ l3_lattices(k1_lattice2(sK44)) ),
inference(forward_subsumption_resolution,[],[f29008,f28879]) ).
fof(f29010,plain,
( m1_filter_0(k7_filter_2(sK44,sK45),k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44)) ),
inference(forward_subsumption_resolution,[],[f29009,f28831]) ).
fof(f29012,definition,
( spl874_73
<=> m1_filter_0(k7_filter_2(sK44,sK45),k1_lattice2(sK44)) ),
introduced(definition,[new_symbols(definition,[spl874_73])],[avatar_definition]) ).
fof(f29013,plain,
( m1_filter_0(k7_filter_2(sK44,sK45),k1_lattice2(sK44))
| ~ spl874_73 ),
inference(avatar_component_clause,[],[f29012]) ).
fof(f29014,plain,
( spl874_43
| spl874_73 ),
inference(avatar_split_clause,[],[f29010,f29012,f28733]) ).
fof(f29015,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k20_filter_2(sK44,X1,X2) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,X1),k7_filter_2(sK44,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44)))
| v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44) ),
inference(superposition,[],[f19943,f28723]) ).
fof(f29018,plain,
! [X0,X1] :
( v3_struct_0(sK44)
| m1_subset_1(k20_filter_2(sK44,X0,X1),k1_zfmisc_1(u1_struct_0(sK44)))
| ~ l3_lattices(sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(resolution,[],[f19784,f19958]) ).
fof(f29021,plain,
! [X0,X1] :
( m1_subset_1(k20_filter_2(sK44,X0,X1),k1_zfmisc_1(u1_struct_0(sK44)))
| ~ l3_lattices(sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(forward_subsumption_resolution,[],[f29018,f19959]) ).
fof(f29023,plain,
! [X0,X1] :
( m1_subset_1(k20_filter_2(sK44,X0,X1),k1_zfmisc_1(u1_struct_0(sK44)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(forward_subsumption_resolution,[],[f29021,f19957]) ).
fof(f29025,plain,
! [X0,X1] :
( m1_subset_1(k20_filter_2(sK44,X0,X1),k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(forward_demodulation,[],[f29023,f28698]) ).
fof(f29026,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| m1_subset_1(k20_filter_2(sK44,X0,X1),k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(forward_demodulation,[],[f29025,f28698]) ).
fof(f29034,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v3_struct_0(sK44)
| k7_filter_2(sK44,X0) = X0
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f19857,f19958]) ).
fof(f29037,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| k7_filter_2(sK44,X0) = X0
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f29034,f19959]) ).
fof(f29039,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| k7_filter_2(sK44,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f29037,f19957]) ).
fof(f29044,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| k7_filter_2(sK44,X0) = X0 ),
inference(forward_demodulation,[],[f29039,f28698]) ).
fof(f29045,plain,
! [X0] :
( v3_struct_0(sK44)
| m2_filter_2(k19_filter_2(sK44,X0),sK44)
| ~ l3_lattices(sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(resolution,[],[f19783,f19958]) ).
fof(f29048,plain,
! [X0] :
( m2_filter_2(k19_filter_2(sK44,X0),sK44)
| ~ l3_lattices(sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(forward_subsumption_resolution,[],[f29045,f19959]) ).
fof(f29050,plain,
! [X0] :
( m2_filter_2(k19_filter_2(sK44,X0),sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(forward_subsumption_resolution,[],[f29048,f19957]) ).
fof(f29051,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| m2_filter_2(k19_filter_2(sK44,X0),sK44)
| v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f29050,f28698]) ).
fof(f29098,plain,
! [X0] :
( ~ m2_lattice4(X0,sK44)
| v3_struct_0(sK44)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f20020,f19958]) ).
fof(f29101,plain,
! [X0] :
( ~ m2_lattice4(X0,sK44)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f29098,f19959]) ).
fof(f29103,plain,
! [X0] :
( ~ m2_lattice4(X0,sK44)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(forward_subsumption_resolution,[],[f29101,f19957]) ).
fof(f29108,plain,
! [X0] :
( ~ m2_lattice4(X0,sK44)
| m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) ),
inference(forward_demodulation,[],[f29103,f28698]) ).
fof(f29109,plain,
m1_subset_1(sK45,k1_zfmisc_1(k1_filter_0(sK44))),
inference(resolution,[],[f29108,f28869]) ).
fof(f29110,plain,
m1_subset_1(sK46,k1_zfmisc_1(k1_filter_0(sK44))),
inference(resolution,[],[f29108,f28868]) ).
fof(f29111,plain,
sK45 = k7_filter_2(sK44,sK45),
inference(resolution,[],[f29109,f29044]) ).
fof(f29112,plain,
( v1_xboole_0(sK45)
| ~ spl874_68 ),
inference(resolution,[],[f29109,f28976]) ).
fof(f29120,definition,
( spl874_81
<=> v1_xboole_0(k1_filter_0(sK44)) ),
introduced(definition,[new_symbols(definition,[spl874_81])],[avatar_definition]) ).
fof(f29121,plain,
( v1_xboole_0(k1_filter_0(sK44))
| ~ spl874_81 ),
inference(avatar_component_clause,[],[f29120]) ).
fof(f29134,definition,
( spl874_85
<=> v1_xboole_0(sK45) ),
introduced(definition,[new_symbols(definition,[spl874_85])],[avatar_definition]) ).
fof(f29135,plain,
( v1_xboole_0(sK45)
| ~ spl874_85 ),
inference(avatar_component_clause,[],[f29134]) ).
fof(f29137,definition,
( spl874_86
<=> m2_filter_2(k19_filter_2(sK44,sK45),sK44) ),
introduced(definition,[new_symbols(definition,[spl874_86])],[avatar_definition]) ).
fof(f29140,plain,
( spl874_85
| ~ spl874_68 ),
inference(avatar_split_clause,[],[f29112,f28975,f29134]) ).
fof(f29141,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k20_filter_2(sK44,X1,X2) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,X1),k7_filter_2(sK44,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44)))
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f29015,f19959]) ).
fof(f29143,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| m1_subset_1(k20_filter_2(sK44,X0,X1),k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| v1_xboole_0(X1) ),
inference(forward_demodulation,[],[f29026,f28698]) ).
fof(f29152,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k20_filter_2(sK44,X1,X2) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,X1),k7_filter_2(sK44,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44)))
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f29141,f19958]) ).
fof(f29157,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k20_filter_2(sK44,X1,X2) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,X1),k7_filter_2(sK44,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(forward_subsumption_resolution,[],[f29152,f19957]) ).
fof(f29158,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k20_filter_2(sK44,X1,X2) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,X1),k7_filter_2(sK44,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44))) ),
inference(forward_demodulation,[],[f29157,f28698]) ).
fof(f29159,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k20_filter_2(sK44,X1,X2) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,X1),k7_filter_2(sK44,X2))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X2)
| v1_xboole_0(X1) ),
inference(forward_demodulation,[],[f29158,f28698]) ).
fof(f29161,definition,
( spl874_90
<=> ! [X2,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| k20_filter_2(sK44,X1,X2) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,X1),k7_filter_2(sK44,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_filter_0(sK44))) ) ),
introduced(definition,[new_symbols(definition,[spl874_90])],[avatar_definition]) ).
fof(f29162,plain,
( ! [X2,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| k20_filter_2(sK44,X1,X2) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,X1),k7_filter_2(sK44,X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44))) )
| ~ spl874_90 ),
inference(avatar_component_clause,[],[f29161]) ).
fof(f29163,plain,
( spl874_68
| spl874_68
| spl874_90 ),
inference(avatar_split_clause,[],[f29159,f29161,f28975,f28975]) ).
fof(f29165,plain,
( $false
| ~ spl874_85 ),
inference(unit_resulting_resolution,[],[f19745,f19957,f19958,f19959,f19960,f29135]) ).
fof(f29167,plain,
~ spl874_85,
inference(avatar_contradiction_clause,[],[f29165]) ).
fof(f29173,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK45)
| k20_filter_2(sK44,X0,sK45) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,X0),k7_filter_2(sK44,sK45))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) )
| ~ spl874_90 ),
inference(resolution,[],[f29162,f29109]) ).
fof(f29174,plain,
( ! [X0] :
( k20_filter_2(sK44,X0,sK45) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,X0),sK45)
| v1_xboole_0(X0)
| v1_xboole_0(sK45)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) )
| ~ spl874_90 ),
inference(forward_demodulation,[],[f29173,f29111]) ).
fof(f29176,definition,
( spl874_92
<=> ! [X0] :
( k20_filter_2(sK44,X0,sK45) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,X0),sK45)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl874_92])],[avatar_definition]) ).
fof(f29177,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| k20_filter_2(sK44,X0,sK45) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,X0),sK45)
| v1_xboole_0(X0) )
| ~ spl874_92 ),
inference(avatar_component_clause,[],[f29176]) ).
fof(f29178,plain,
( spl874_85
| spl874_92
| ~ spl874_90 ),
inference(avatar_split_clause,[],[f29174,f29161,f29176,f29134]) ).
fof(f29180,plain,
( m1_filter_0(sK45,k1_lattice2(sK44))
| ~ spl874_73 ),
inference(superposition,[],[f29013,f29111]) ).
fof(f29183,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| m1_subset_1(k20_filter_2(sK44,sK45,X0),k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(sK45)
| v1_xboole_0(X0) ),
inference(resolution,[],[f29143,f29109]) ).
fof(f29185,definition,
( spl874_93
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| m1_subset_1(k20_filter_2(sK44,sK45,X0),k1_zfmisc_1(k1_filter_0(sK44))) ) ),
introduced(definition,[new_symbols(definition,[spl874_93])],[avatar_definition]) ).
fof(f29186,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| m1_subset_1(k20_filter_2(sK44,sK45,X0),k1_zfmisc_1(k1_filter_0(sK44))) )
| ~ spl874_93 ),
inference(avatar_component_clause,[],[f29185]) ).
fof(f29187,plain,
( spl874_85
| spl874_93 ),
inference(avatar_split_clause,[],[f29183,f29185,f29134]) ).
fof(f29194,plain,
( k20_filter_2(sK44,sK46,sK45) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,sK46),sK45)
| v1_xboole_0(sK46)
| ~ spl874_92 ),
inference(resolution,[],[f29110,f29177]) ).
fof(f29195,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| m1_subset_1(k20_filter_2(sK44,sK46,X0),k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(sK46)
| v1_xboole_0(X0) ),
inference(resolution,[],[f29110,f29143]) ).
fof(f29196,plain,
( ! [X0] :
( v1_xboole_0(X0)
| v1_xboole_0(sK46)
| k20_filter_2(sK44,X0,sK46) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,X0),k7_filter_2(sK44,sK46))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) )
| ~ spl874_90 ),
inference(resolution,[],[f29110,f29162]) ).
fof(f29198,plain,
sK46 = k7_filter_2(sK44,sK46),
inference(resolution,[],[f29110,f29044]) ).
fof(f29200,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| k2_xboole_0(X0,sK46) = k4_subset_1(k1_filter_0(sK44),X0,sK46) ),
inference(resolution,[],[f29110,f20684]) ).
fof(f29201,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| m1_subset_1(k4_subset_1(k1_filter_0(sK44),X0,sK46),k1_zfmisc_1(k1_filter_0(sK44))) ),
inference(resolution,[],[f29110,f20687]) ).
fof(f29202,plain,
( v1_xboole_0(k1_filter_0(sK44))
| r1_filter_2(k1_filter_0(sK44),sK46,sK46) ),
inference(resolution,[],[f29110,f27822]) ).
fof(f29209,definition,
( spl874_96
<=> v1_xboole_0(sK46) ),
introduced(definition,[new_symbols(definition,[spl874_96])],[avatar_definition]) ).
fof(f29210,plain,
( v1_xboole_0(sK46)
| ~ spl874_96 ),
inference(avatar_component_clause,[],[f29209]) ).
fof(f29212,definition,
( spl874_97
<=> m2_filter_2(k19_filter_2(sK44,sK46),sK44) ),
introduced(definition,[new_symbols(definition,[spl874_97])],[avatar_definition]) ).
fof(f29216,plain,
( ! [X0] :
( k20_filter_2(sK44,X0,sK46) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,X0),sK46)
| v1_xboole_0(X0)
| v1_xboole_0(sK46)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) )
| ~ spl874_90 ),
inference(forward_demodulation,[],[f29196,f29198]) ).
fof(f29218,definition,
( spl874_98
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| m1_subset_1(k20_filter_2(sK44,sK46,X0),k1_zfmisc_1(k1_filter_0(sK44))) ) ),
introduced(definition,[new_symbols(definition,[spl874_98])],[avatar_definition]) ).
fof(f29219,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| m1_subset_1(k20_filter_2(sK44,sK46,X0),k1_zfmisc_1(k1_filter_0(sK44))) )
| ~ spl874_98 ),
inference(avatar_component_clause,[],[f29218]) ).
fof(f29220,plain,
( spl874_96
| spl874_98 ),
inference(avatar_split_clause,[],[f29195,f29218,f29209]) ).
fof(f29221,plain,
( k20_filter_2(sK44,sK46,sK45) = k5_filter_0(k1_lattice2(sK44),sK46,sK45)
| v1_xboole_0(sK46)
| ~ spl874_92 ),
inference(forward_demodulation,[],[f29194,f29198]) ).
fof(f29227,definition,
( spl874_100
<=> ! [X0] :
( k20_filter_2(sK44,X0,sK46) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,X0),sK46)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl874_100])],[avatar_definition]) ).
fof(f29228,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| k20_filter_2(sK44,X0,sK46) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,X0),sK46)
| v1_xboole_0(X0) )
| ~ spl874_100 ),
inference(avatar_component_clause,[],[f29227]) ).
fof(f29229,plain,
( spl874_96
| spl874_100
| ~ spl874_90 ),
inference(avatar_split_clause,[],[f29216,f29161,f29227,f29209]) ).
fof(f29231,definition,
( spl874_101
<=> k20_filter_2(sK44,sK46,sK45) = k5_filter_0(k1_lattice2(sK44),sK46,sK45) ),
introduced(definition,[new_symbols(definition,[spl874_101])],[avatar_definition]) ).
fof(f29232,plain,
( k20_filter_2(sK44,sK46,sK45) = k5_filter_0(k1_lattice2(sK44),sK46,sK45)
| ~ spl874_101 ),
inference(avatar_component_clause,[],[f29231]) ).
fof(f29233,plain,
( spl874_96
| spl874_101
| ~ spl874_92 ),
inference(avatar_split_clause,[],[f29221,f29176,f29231,f29209]) ).
fof(f29234,plain,
( $false
| ~ spl874_96 ),
inference(unit_resulting_resolution,[],[f19745,f19957,f19958,f19959,f19961,f29210]) ).
fof(f29236,plain,
~ spl874_96,
inference(avatar_contradiction_clause,[],[f29234]) ).
fof(f29238,plain,
( m1_filter_0(sK46,k1_lattice2(sK44))
| ~ spl874_72 ),
inference(superposition,[],[f29006,f29198]) ).
fof(f29241,plain,
( k20_filter_2(sK44,sK45,sK46) = k5_filter_0(k1_lattice2(sK44),k7_filter_2(sK44,sK45),sK46)
| v1_xboole_0(sK45)
| ~ spl874_100 ),
inference(resolution,[],[f29228,f29109]) ).
fof(f29244,plain,
( k20_filter_2(sK44,sK45,sK46) = k5_filter_0(k1_lattice2(sK44),sK45,sK46)
| v1_xboole_0(sK45)
| ~ spl874_100 ),
inference(forward_demodulation,[],[f29241,f29111]) ).
fof(f29250,definition,
( spl874_103
<=> k20_filter_2(sK44,sK45,sK46) = k5_filter_0(k1_lattice2(sK44),sK45,sK46) ),
introduced(definition,[new_symbols(definition,[spl874_103])],[avatar_definition]) ).
fof(f29251,plain,
( k20_filter_2(sK44,sK45,sK46) = k5_filter_0(k1_lattice2(sK44),sK45,sK46)
| ~ spl874_103 ),
inference(avatar_component_clause,[],[f29250]) ).
fof(f29252,plain,
( spl874_85
| spl874_103
| ~ spl874_100 ),
inference(avatar_split_clause,[],[f29244,f29227,f29250,f29134]) ).
fof(f29255,plain,
( m2_filter_2(k19_filter_2(sK44,sK45),sK44)
| v1_xboole_0(sK45) ),
inference(resolution,[],[f29051,f29109]) ).
fof(f29256,plain,
( m2_filter_2(k19_filter_2(sK44,sK46),sK44)
| v1_xboole_0(sK46) ),
inference(resolution,[],[f29051,f29110]) ).
fof(f29265,plain,
( m2_filter_2(k19_filter_2(sK44,sK46),sK44)
| ~ spl874_97 ),
inference(avatar_component_clause,[],[f29212]) ).
fof(f29266,plain,
( spl874_96
| spl874_97 ),
inference(avatar_split_clause,[],[f29256,f29212,f29209]) ).
fof(f29271,plain,
( m2_filter_2(k19_filter_2(sK44,sK45),sK44)
| ~ spl874_86 ),
inference(avatar_component_clause,[],[f29137]) ).
fof(f29272,plain,
( spl874_85
| spl874_86 ),
inference(avatar_split_clause,[],[f29255,f29137,f29134]) ).
fof(f29273,plain,
( m2_lattice4(k19_filter_2(sK44,sK46),sK44)
| ~ spl874_97 ),
inference(resolution,[],[f29265,f28867]) ).
fof(f29275,plain,
( a_3_1_filter_2(sK44,sK45,k19_filter_2(sK44,sK46)) = k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),sK45,k19_filter_2(sK44,sK46)))
| ~ spl874_97 ),
inference(resolution,[],[f29265,f28766]) ).
fof(f29280,plain,
( m1_subset_1(k19_filter_2(sK44,sK46),k1_zfmisc_1(k1_filter_0(sK44)))
| ~ spl874_97 ),
inference(resolution,[],[f29273,f29108]) ).
fof(f29290,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| k2_xboole_0(X0,k19_filter_2(sK44,sK46)) = k4_subset_1(k1_filter_0(sK44),X0,k19_filter_2(sK44,sK46)) )
| ~ spl874_97 ),
inference(resolution,[],[f29280,f20684]) ).
fof(f29332,plain,
( m2_lattice4(k19_filter_2(sK44,sK45),sK44)
| ~ spl874_86 ),
inference(resolution,[],[f29271,f28867]) ).
fof(f29339,plain,
( m1_subset_1(k19_filter_2(sK44,sK45),k1_zfmisc_1(k1_filter_0(sK44)))
| ~ spl874_86 ),
inference(resolution,[],[f29332,f29108]) ).
fof(f29355,definition,
( spl874_115
<=> v1_xboole_0(k19_filter_2(sK44,sK45)) ),
introduced(definition,[new_symbols(definition,[spl874_115])],[avatar_definition]) ).
fof(f29356,plain,
( v1_xboole_0(k19_filter_2(sK44,sK45))
| ~ spl874_115 ),
inference(avatar_component_clause,[],[f29355]) ).
fof(f29398,plain,
( v1_xboole_0(sK46)
| m1_subset_1(k20_filter_2(sK44,sK45,sK46),k1_zfmisc_1(k1_filter_0(sK44)))
| ~ spl874_93 ),
inference(resolution,[],[f29186,f29110]) ).
fof(f29406,definition,
( spl874_125
<=> m1_subset_1(k20_filter_2(sK44,sK45,sK46),k1_zfmisc_1(k1_filter_0(sK44))) ),
introduced(definition,[new_symbols(definition,[spl874_125])],[avatar_definition]) ).
fof(f29407,plain,
( m1_subset_1(k20_filter_2(sK44,sK45,sK46),k1_zfmisc_1(k1_filter_0(sK44)))
| ~ spl874_125 ),
inference(avatar_component_clause,[],[f29406]) ).
fof(f29408,plain,
( spl874_125
| spl874_96
| ~ spl874_93 ),
inference(avatar_split_clause,[],[f29398,f29185,f29209,f29406]) ).
fof(f29414,plain,
( v1_xboole_0(k20_filter_2(sK44,sK45,sK46))
| k19_filter_2(sK44,k20_filter_2(sK44,sK45,sK46)) = k3_filter_2(k1_lattice2(sK44),k7_filter_2(sK44,k20_filter_2(sK44,sK45,sK46)))
| ~ spl874_69
| ~ spl874_125 ),
inference(resolution,[],[f29407,f28979]) ).
fof(f29416,plain,
( k20_filter_2(sK44,sK45,sK46) = k7_filter_2(sK44,k20_filter_2(sK44,sK45,sK46))
| ~ spl874_125 ),
inference(resolution,[],[f29407,f29044]) ).
fof(f29429,definition,
( spl874_127
<=> v1_xboole_0(k20_filter_2(sK44,sK45,sK46)) ),
introduced(definition,[new_symbols(definition,[spl874_127])],[avatar_definition]) ).
fof(f29430,plain,
( v1_xboole_0(k20_filter_2(sK44,sK45,sK46))
| ~ spl874_127 ),
inference(avatar_component_clause,[],[f29429]) ).
fof(f29460,plain,
( k19_filter_2(sK44,k20_filter_2(sK44,sK45,sK46)) = k3_filter_2(k1_lattice2(sK44),k20_filter_2(sK44,sK45,sK46))
| v1_xboole_0(k20_filter_2(sK44,sK45,sK46))
| ~ spl874_69
| ~ spl874_125 ),
inference(forward_demodulation,[],[f29414,f29416]) ).
fof(f29466,definition,
( spl874_136
<=> k19_filter_2(sK44,k20_filter_2(sK44,sK45,sK46)) = k3_filter_2(k1_lattice2(sK44),k20_filter_2(sK44,sK45,sK46)) ),
introduced(definition,[new_symbols(definition,[spl874_136])],[avatar_definition]) ).
fof(f29467,plain,
( k19_filter_2(sK44,k20_filter_2(sK44,sK45,sK46)) = k3_filter_2(k1_lattice2(sK44),k20_filter_2(sK44,sK45,sK46))
| ~ spl874_136 ),
inference(avatar_component_clause,[],[f29466]) ).
fof(f29468,plain,
( spl874_127
| spl874_136
| ~ spl874_69
| ~ spl874_125 ),
inference(avatar_split_clause,[],[f29460,f29406,f28978,f29466,f29429]) ).
fof(f29527,plain,
( $false
| ~ spl874_86
| ~ spl874_115 ),
inference(unit_resulting_resolution,[],[f19745,f19957,f19958,f19959,f29271,f29356]) ).
fof(f29529,plain,
( ~ spl874_86
| ~ spl874_115 ),
inference(avatar_contradiction_clause,[],[f29527]) ).
fof(f29538,plain,
( v1_xboole_0(k19_filter_2(sK44,sK45))
| m1_subset_1(k20_filter_2(sK44,sK46,k19_filter_2(sK44,sK45)),k1_zfmisc_1(k1_filter_0(sK44)))
| ~ spl874_86
| ~ spl874_98 ),
inference(resolution,[],[f29219,f29339]) ).
fof(f29552,definition,
( spl874_150
<=> m1_subset_1(k20_filter_2(sK44,sK46,k19_filter_2(sK44,sK45)),k1_zfmisc_1(k1_filter_0(sK44))) ),
introduced(definition,[new_symbols(definition,[spl874_150])],[avatar_definition]) ).
fof(f29553,plain,
( m1_subset_1(k20_filter_2(sK44,sK46,k19_filter_2(sK44,sK45)),k1_zfmisc_1(k1_filter_0(sK44)))
| ~ spl874_150 ),
inference(avatar_component_clause,[],[f29552]) ).
fof(f29554,plain,
( spl874_150
| spl874_115
| ~ spl874_86
| ~ spl874_98 ),
inference(avatar_split_clause,[],[f29538,f29218,f29137,f29355,f29552]) ).
fof(f29793,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44)))
| v3_struct_0(sK44)
| r1_filter_2(u1_struct_0(sK44),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),X1,X0)),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),X1,k19_filter_2(sK44,X0))))
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f19952,f19958]) ).
fof(f29796,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44)))
| r1_filter_2(u1_struct_0(sK44),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),X1,X0)),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),X1,k19_filter_2(sK44,X0))))
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f29793,f19959]) ).
fof(f29798,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44)))
| r1_filter_2(u1_struct_0(sK44),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),X1,X0)),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),X1,k19_filter_2(sK44,X0)))) ),
inference(forward_subsumption_resolution,[],[f29796,f19957]) ).
fof(f29800,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44)))
| r1_filter_2(u1_struct_0(sK44),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),X1,X0)),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),X1,k19_filter_2(sK44,X0)))) ),
inference(forward_demodulation,[],[f29798,f28698]) ).
fof(f29802,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| r1_filter_2(u1_struct_0(sK44),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),X1,X0)),k19_filter_2(sK44,k4_subset_1(u1_struct_0(sK44),X1,k19_filter_2(sK44,X0)))) ),
inference(forward_demodulation,[],[f29800,f28698]) ).
fof(f29807,plain,
! [X0,X1] :
( r1_filter_2(k1_filter_0(sK44),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X1,X0)),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X1,k19_filter_2(sK44,X0))))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| v1_xboole_0(X1) ),
inference(forward_demodulation,[],[f29802,f28698]) ).
fof(f29812,plain,
! [X0] :
( r1_filter_2(k1_filter_0(sK44),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X0,k4_subset_1(k1_filter_0(sK44),sK46,sK46))),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X0,a_3_1_filter_2(sK44,sK46,sK46))))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m1_subset_1(k4_subset_1(k1_filter_0(sK44),sK46,sK46),k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(k4_subset_1(k1_filter_0(sK44),sK46,sK46))
| v1_xboole_0(X0) ),
inference(superposition,[],[f29807,f28772]) ).
fof(f29862,plain,
k4_subset_1(k1_filter_0(sK44),sK45,sK46) = k2_xboole_0(sK45,sK46),
inference(resolution,[],[f29200,f29109]) ).
fof(f29863,plain,
k4_subset_1(k1_filter_0(sK44),sK46,sK46) = k2_xboole_0(sK46,sK46),
inference(resolution,[],[f29200,f29110]) ).
fof(f29864,plain,
sK46 = k4_subset_1(k1_filter_0(sK44),sK46,sK46),
inference(forward_demodulation,[],[f29863,f21547]) ).
fof(f29873,plain,
k19_filter_2(sK44,sK46) = a_3_1_filter_2(sK44,sK46,sK46),
inference(superposition,[],[f28772,f29864]) ).
fof(f29895,plain,
! [X0] :
( r1_filter_2(k1_filter_0(sK44),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X0,k4_subset_1(k1_filter_0(sK44),sK46,sK46))),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X0,k19_filter_2(sK44,sK46))))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m1_subset_1(k4_subset_1(k1_filter_0(sK44),sK46,sK46),k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(k4_subset_1(k1_filter_0(sK44),sK46,sK46))
| v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f29812,f29873]) ).
fof(f29898,plain,
! [X0] :
( r1_filter_2(k1_filter_0(sK44),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X0,sK46)),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X0,k19_filter_2(sK44,sK46))))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m1_subset_1(k4_subset_1(k1_filter_0(sK44),sK46,sK46),k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(k4_subset_1(k1_filter_0(sK44),sK46,sK46))
| v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f29895,f29864]) ).
fof(f29899,plain,
! [X0] :
( ~ m1_subset_1(sK46,k1_zfmisc_1(k1_filter_0(sK44)))
| r1_filter_2(k1_filter_0(sK44),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X0,sK46)),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X0,k19_filter_2(sK44,sK46))))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(k4_subset_1(k1_filter_0(sK44),sK46,sK46))
| v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f29898,f29864]) ).
fof(f29900,plain,
! [X0] :
( r1_filter_2(k1_filter_0(sK44),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X0,sK46)),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X0,k19_filter_2(sK44,sK46))))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(k4_subset_1(k1_filter_0(sK44),sK46,sK46))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f29899,f29110]) ).
fof(f29901,plain,
! [X0] :
( v1_xboole_0(sK46)
| r1_filter_2(k1_filter_0(sK44),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X0,sK46)),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X0,k19_filter_2(sK44,sK46))))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f29900,f29864]) ).
fof(f29903,definition,
( spl874_200
<=> ! [X0] :
( r1_filter_2(k1_filter_0(sK44),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X0,sK46)),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X0,k19_filter_2(sK44,sK46))))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) ) ),
introduced(definition,[new_symbols(definition,[spl874_200])],[avatar_definition]) ).
fof(f29904,plain,
( ! [X0] :
( r1_filter_2(k1_filter_0(sK44),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X0,sK46)),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),X0,k19_filter_2(sK44,sK46))))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) )
| ~ spl874_200 ),
inference(avatar_component_clause,[],[f29903]) ).
fof(f29905,plain,
( spl874_200
| spl874_96 ),
inference(avatar_split_clause,[],[f29901,f29209,f29903]) ).
fof(f29908,plain,
a_3_1_filter_2(sK44,sK45,sK46) = k19_filter_2(sK44,k2_xboole_0(sK45,sK46)),
inference(superposition,[],[f28797,f29862]) ).
fof(f30007,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,sK39(sK44,X0,X1))
| ~ m2_filter_2(X1,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v3_struct_0(sK44)
| k19_filter_2(sK44,X0) = X1
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f19911,f19958]) ).
fof(f30010,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,sK39(sK44,X0,X1))
| ~ m2_filter_2(X1,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| k19_filter_2(sK44,X0) = X1
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f30007,f19959]) ).
fof(f30012,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,sK39(sK44,X0,X1))
| ~ m2_filter_2(X1,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| k19_filter_2(sK44,X0) = X1 ),
inference(forward_subsumption_resolution,[],[f30010,f19957]) ).
fof(f30017,plain,
! [X0,X1] :
( ~ r1_tarski(X1,sK39(sK44,X0,X1))
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m2_filter_2(X1,sK44)
| v1_xboole_0(X0)
| k19_filter_2(sK44,X0) = X1 ),
inference(forward_demodulation,[],[f30012,f28698]) ).
fof(f30043,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44)))
| v3_struct_0(sK44)
| k20_filter_2(sK44,X1,X0) = a_3_0_filter_2(sK44,X1,X0)
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f19937,f19958]) ).
fof(f30046,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44)))
| k20_filter_2(sK44,X1,X0) = a_3_0_filter_2(sK44,X1,X0)
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f30043,f19959]) ).
fof(f30048,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44)))
| k20_filter_2(sK44,X1,X0) = a_3_0_filter_2(sK44,X1,X0) ),
inference(forward_subsumption_resolution,[],[f30046,f19957]) ).
fof(f30050,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK44)))
| k20_filter_2(sK44,X1,X0) = a_3_0_filter_2(sK44,X1,X0) ),
inference(forward_demodulation,[],[f30048,f28698]) ).
fof(f30055,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| k20_filter_2(sK44,X1,X0) = a_3_0_filter_2(sK44,X1,X0) ),
inference(forward_demodulation,[],[f30050,f28698]) ).
fof(f30062,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(sK45)
| v1_xboole_0(X0)
| k20_filter_2(sK44,X0,sK45) = a_3_0_filter_2(sK44,X0,sK45) ),
inference(resolution,[],[f30055,f29109]) ).
fof(f30063,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(sK46)
| v1_xboole_0(X0)
| k20_filter_2(sK44,X0,sK46) = a_3_0_filter_2(sK44,X0,sK46) ),
inference(resolution,[],[f30055,f29110]) ).
fof(f30065,definition,
( spl874_210
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| k20_filter_2(sK44,X0,sK46) = a_3_0_filter_2(sK44,X0,sK46)
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl874_210])],[avatar_definition]) ).
fof(f30066,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| k20_filter_2(sK44,X0,sK46) = a_3_0_filter_2(sK44,X0,sK46)
| v1_xboole_0(X0) )
| ~ spl874_210 ),
inference(avatar_component_clause,[],[f30065]) ).
fof(f30067,plain,
( spl874_96
| spl874_210 ),
inference(avatar_split_clause,[],[f30063,f30065,f29209]) ).
fof(f30069,definition,
( spl874_211
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| k20_filter_2(sK44,X0,sK45) = a_3_0_filter_2(sK44,X0,sK45)
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl874_211])],[avatar_definition]) ).
fof(f30070,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| k20_filter_2(sK44,X0,sK45) = a_3_0_filter_2(sK44,X0,sK45)
| v1_xboole_0(X0) )
| ~ spl874_211 ),
inference(avatar_component_clause,[],[f30069]) ).
fof(f30071,plain,
( spl874_85
| spl874_211 ),
inference(avatar_split_clause,[],[f30062,f30069,f29134]) ).
fof(f30081,plain,
( k20_filter_2(sK44,k19_filter_2(sK44,sK45),sK46) = a_3_0_filter_2(sK44,k19_filter_2(sK44,sK45),sK46)
| v1_xboole_0(k19_filter_2(sK44,sK45))
| ~ spl874_86
| ~ spl874_210 ),
inference(resolution,[],[f30066,f29339]) ).
fof(f30086,plain,
( k20_filter_2(sK44,sK45,sK46) = a_3_0_filter_2(sK44,sK45,sK46)
| v1_xboole_0(sK45)
| ~ spl874_210 ),
inference(resolution,[],[f30066,f29109]) ).
fof(f30093,definition,
( spl874_215
<=> k20_filter_2(sK44,sK45,sK46) = a_3_0_filter_2(sK44,sK45,sK46) ),
introduced(definition,[new_symbols(definition,[spl874_215])],[avatar_definition]) ).
fof(f30094,plain,
( k20_filter_2(sK44,sK45,sK46) = a_3_0_filter_2(sK44,sK45,sK46)
| ~ spl874_215 ),
inference(avatar_component_clause,[],[f30093]) ).
fof(f30095,plain,
( spl874_85
| spl874_215
| ~ spl874_210 ),
inference(avatar_split_clause,[],[f30086,f30065,f30093,f29134]) ).
fof(f30097,definition,
( spl874_216
<=> k20_filter_2(sK44,k19_filter_2(sK44,sK45),sK46) = a_3_0_filter_2(sK44,k19_filter_2(sK44,sK45),sK46) ),
introduced(definition,[new_symbols(definition,[spl874_216])],[avatar_definition]) ).
fof(f30098,plain,
( k20_filter_2(sK44,k19_filter_2(sK44,sK45),sK46) = a_3_0_filter_2(sK44,k19_filter_2(sK44,sK45),sK46)
| ~ spl874_216 ),
inference(avatar_component_clause,[],[f30097]) ).
fof(f30099,plain,
( spl874_115
| spl874_216
| ~ spl874_86
| ~ spl874_210 ),
inference(avatar_split_clause,[],[f30081,f30065,f29137,f30097,f29355]) ).
fof(f30132,plain,
( ~ r1_filter_2(k1_filter_0(sK44),a_3_1_filter_2(sK44,sK45,sK46),k19_filter_2(sK44,a_3_0_filter_2(sK44,sK45,sK46)))
| ~ spl874_215 ),
inference(superposition,[],[f28813,f30094]) ).
fof(f30135,plain,
( v1_xboole_0(a_3_0_filter_2(sK44,sK45,sK46))
| ~ spl874_127
| ~ spl874_215 ),
inference(superposition,[],[f29430,f30094]) ).
fof(f30174,plain,
( k20_filter_2(sK44,sK46,sK45) = a_3_0_filter_2(sK44,sK46,sK45)
| v1_xboole_0(sK46)
| ~ spl874_211 ),
inference(resolution,[],[f30070,f29110]) ).
fof(f30176,definition,
( spl874_221
<=> k20_filter_2(sK44,sK46,sK45) = a_3_0_filter_2(sK44,sK46,sK45) ),
introduced(definition,[new_symbols(definition,[spl874_221])],[avatar_definition]) ).
fof(f30177,plain,
( k20_filter_2(sK44,sK46,sK45) = a_3_0_filter_2(sK44,sK46,sK45)
| ~ spl874_221 ),
inference(avatar_component_clause,[],[f30176]) ).
fof(f30178,plain,
( spl874_96
| spl874_221
| ~ spl874_211 ),
inference(avatar_split_clause,[],[f30174,f30069,f30176,f29209]) ).
fof(f30248,plain,
! [X0] :
( ~ m1_filter_0(X0,sK44)
| v3_struct_0(sK44)
| ~ v1_xboole_0(X0)
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f20035,f19958]) ).
fof(f30249,plain,
! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44))
| ~ v1_xboole_0(X0)
| ~ l3_lattices(k1_lattice2(sK44)) ),
inference(resolution,[],[f20035,f28879]) ).
fof(f30250,plain,
! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44))
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f30249,f28831]) ).
fof(f30251,plain,
! [X0] :
( ~ m1_filter_0(X0,sK44)
| ~ v1_xboole_0(X0)
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f30248,f19959]) ).
fof(f30253,definition,
( spl874_228
<=> ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK44))
| ~ v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl874_228])],[avatar_definition]) ).
fof(f30254,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK44))
| ~ v1_xboole_0(X0) )
| ~ spl874_228 ),
inference(avatar_component_clause,[],[f30253]) ).
fof(f30255,plain,
( spl874_43
| spl874_228 ),
inference(avatar_split_clause,[],[f30250,f30253,f28733]) ).
fof(f30256,plain,
! [X0] :
( ~ m1_filter_0(X0,sK44)
| ~ v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[],[f30251,f19957]) ).
fof(f30257,plain,
~ v1_xboole_0(k1_filter_0(sK44)),
inference(resolution,[],[f30256,f28761]) ).
fof(f30260,plain,
( $false
| ~ spl874_81 ),
inference(forward_subsumption_resolution,[],[f30257,f29121]) ).
fof(f30261,plain,
~ spl874_81,
inference(avatar_contradiction_clause,[],[f30260]) ).
fof(f30270,definition,
( spl874_230
<=> r1_filter_2(k1_filter_0(sK44),sK46,sK46) ),
introduced(definition,[new_symbols(definition,[spl874_230])],[avatar_definition]) ).
fof(f30271,plain,
( r1_filter_2(k1_filter_0(sK44),sK46,sK46)
| ~ spl874_230 ),
inference(avatar_component_clause,[],[f30270]) ).
fof(f30272,plain,
( spl874_230
| spl874_81 ),
inference(avatar_split_clause,[],[f29202,f29120,f30270]) ).
fof(f30307,plain,
! [X0] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(sK44,X0) = X0
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44)
| ~ r1_tarski(X0,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0)
| k19_filter_2(sK44,X0) = X0 ),
inference(resolution,[],[f19910,f30017]) ).
fof(f30308,plain,
! [X0] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(sK44,X0) = X0
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) ),
inference(duplicate_literal_removal,[],[f30307]) ).
fof(f30309,plain,
! [X0] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(sK44,X0) = X0
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) ),
inference(forward_subsumption_resolution,[],[f30308,f19959]) ).
fof(f30310,plain,
! [X0] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(sK44,X0) = X0
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| ~ l3_lattices(sK44)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) ),
inference(forward_subsumption_resolution,[],[f30309,f19958]) ).
fof(f30311,plain,
! [X0] :
( ~ r1_tarski(X0,X0)
| k19_filter_2(sK44,X0) = X0
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) ),
inference(forward_subsumption_resolution,[],[f30310,f19957]) ).
fof(f30312,plain,
! [X0] :
( k19_filter_2(sK44,X0) = X0
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK44)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) ),
inference(forward_subsumption_resolution,[],[f30311,f20636]) ).
fof(f30313,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| k19_filter_2(sK44,X0) = X0
| ~ m2_filter_2(X0,sK44)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) ),
inference(forward_demodulation,[],[f30312,f28698]) ).
fof(f30314,plain,
! [X0] :
( ~ m2_filter_2(X0,sK44)
| k19_filter_2(sK44,X0) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0) ),
inference(duplicate_literal_removal,[],[f30313]) ).
fof(f30318,plain,
( sK45 = k19_filter_2(sK44,sK45)
| ~ m1_subset_1(sK45,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(sK45) ),
inference(resolution,[],[f30314,f19960]) ).
fof(f30319,plain,
( sK46 = k19_filter_2(sK44,sK46)
| ~ m1_subset_1(sK46,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(sK46) ),
inference(resolution,[],[f30314,f19961]) ).
fof(f30322,plain,
( sK46 = k19_filter_2(sK44,sK46)
| v1_xboole_0(sK46) ),
inference(forward_subsumption_resolution,[],[f30319,f29110]) ).
fof(f30323,plain,
( sK45 = k19_filter_2(sK44,sK45)
| v1_xboole_0(sK45) ),
inference(forward_subsumption_resolution,[],[f30318,f29109]) ).
fof(f30329,definition,
( spl874_235
<=> sK46 = k19_filter_2(sK44,sK46) ),
introduced(definition,[new_symbols(definition,[spl874_235])],[avatar_definition]) ).
fof(f30330,plain,
( sK46 = k19_filter_2(sK44,sK46)
| ~ spl874_235 ),
inference(avatar_component_clause,[],[f30329]) ).
fof(f30331,plain,
( spl874_96
| spl874_235 ),
inference(avatar_split_clause,[],[f30322,f30329,f29209]) ).
fof(f30333,definition,
( spl874_236
<=> sK45 = k19_filter_2(sK44,sK45) ),
introduced(definition,[new_symbols(definition,[spl874_236])],[avatar_definition]) ).
fof(f30334,plain,
( sK45 = k19_filter_2(sK44,sK45)
| ~ spl874_236 ),
inference(avatar_component_clause,[],[f30333]) ).
fof(f30335,plain,
( spl874_85
| spl874_236 ),
inference(avatar_split_clause,[],[f30323,f30333,f29134]) ).
fof(f30442,plain,
( r1_filter_2(k1_filter_0(sK44),k19_filter_2(sK44,k2_xboole_0(sK45,sK46)),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),sK45,k19_filter_2(sK44,sK46))))
| v1_xboole_0(sK45)
| ~ m1_subset_1(sK45,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ spl874_200 ),
inference(superposition,[],[f29904,f29862]) ).
fof(f30448,plain,
( r1_filter_2(k1_filter_0(sK44),k19_filter_2(sK44,k2_xboole_0(sK45,sK46)),k19_filter_2(sK44,k4_subset_1(k1_filter_0(sK44),sK45,k19_filter_2(sK44,sK46))))
| v1_xboole_0(sK45)
| ~ spl874_200 ),
inference(forward_subsumption_resolution,[],[f30442,f29109]) ).
fof(f30452,plain,
( r1_filter_2(k1_filter_0(sK44),k19_filter_2(sK44,k2_xboole_0(sK45,sK46)),a_3_1_filter_2(sK44,sK45,k19_filter_2(sK44,sK46)))
| v1_xboole_0(sK45)
| ~ spl874_97
| ~ spl874_200 ),
inference(forward_demodulation,[],[f30448,f29275]) ).
fof(f30454,plain,
( r1_filter_2(k1_filter_0(sK44),k19_filter_2(sK44,k2_xboole_0(sK45,sK46)),a_3_1_filter_2(sK44,sK45,sK46))
| v1_xboole_0(sK45)
| ~ spl874_97
| ~ spl874_200
| ~ spl874_235 ),
inference(forward_demodulation,[],[f30452,f30330]) ).
fof(f30455,plain,
( r1_filter_2(k1_filter_0(sK44),a_3_1_filter_2(sK44,sK45,sK46),a_3_1_filter_2(sK44,sK45,sK46))
| v1_xboole_0(sK45)
| ~ spl874_97
| ~ spl874_200
| ~ spl874_235 ),
inference(forward_demodulation,[],[f30454,f29908]) ).
fof(f30457,definition,
( spl874_245
<=> r1_filter_2(k1_filter_0(sK44),a_3_1_filter_2(sK44,sK45,sK46),a_3_1_filter_2(sK44,sK45,sK46)) ),
introduced(definition,[new_symbols(definition,[spl874_245])],[avatar_definition]) ).
fof(f30458,plain,
( r1_filter_2(k1_filter_0(sK44),a_3_1_filter_2(sK44,sK45,sK46),a_3_1_filter_2(sK44,sK45,sK46))
| ~ spl874_245 ),
inference(avatar_component_clause,[],[f30457]) ).
fof(f30459,plain,
( spl874_85
| spl874_245
| ~ spl874_97
| ~ spl874_200
| ~ spl874_235 ),
inference(avatar_split_clause,[],[f30455,f30329,f29903,f29212,f30457,f29134]) ).
fof(f30930,plain,
! [X0,X1] :
( ~ m1_filter_0(X0,k1_lattice2(sK44))
| ~ m1_filter_0(X1,k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44))
| ~ v10_lattices(k1_lattice2(sK44))
| k3_filter_0(k1_lattice2(sK44),k4_subset_1(u1_struct_0(k1_lattice2(sK44)),X1,X0)) = k3_filter_0(k1_lattice2(sK44),k5_filter_0(k1_lattice2(sK44),X1,X0)) ),
inference(resolution,[],[f20089,f28831]) ).
fof(f30931,plain,
! [X0,X1] :
( ~ m1_filter_0(X0,k1_lattice2(sK44))
| ~ m1_filter_0(X1,k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44))
| k3_filter_0(k1_lattice2(sK44),k4_subset_1(u1_struct_0(k1_lattice2(sK44)),X1,X0)) = k3_filter_0(k1_lattice2(sK44),k5_filter_0(k1_lattice2(sK44),X1,X0)) ),
inference(forward_subsumption_resolution,[],[f30930,f28879]) ).
fof(f30933,plain,
! [X0,X1] :
( k3_filter_0(k1_lattice2(sK44),k5_filter_0(k1_lattice2(sK44),X1,X0)) = k3_filter_0(k1_lattice2(sK44),k4_subset_1(k1_filter_0(sK44),X1,X0))
| ~ m1_filter_0(X0,k1_lattice2(sK44))
| ~ m1_filter_0(X1,k1_lattice2(sK44))
| v3_struct_0(k1_lattice2(sK44)) ),
inference(forward_demodulation,[],[f30931,f28723]) ).
fof(f30936,definition,
( spl874_254
<=> ! [X0,X1] :
( k3_filter_0(k1_lattice2(sK44),k5_filter_0(k1_lattice2(sK44),X1,X0)) = k3_filter_0(k1_lattice2(sK44),k4_subset_1(k1_filter_0(sK44),X1,X0))
| ~ m1_filter_0(X1,k1_lattice2(sK44))
| ~ m1_filter_0(X0,k1_lattice2(sK44)) ) ),
introduced(definition,[new_symbols(definition,[spl874_254])],[avatar_definition]) ).
fof(f30937,plain,
( ! [X0,X1] :
( ~ m1_filter_0(X0,k1_lattice2(sK44))
| ~ m1_filter_0(X1,k1_lattice2(sK44))
| k3_filter_0(k1_lattice2(sK44),k5_filter_0(k1_lattice2(sK44),X1,X0)) = k3_filter_0(k1_lattice2(sK44),k4_subset_1(k1_filter_0(sK44),X1,X0)) )
| ~ spl874_254 ),
inference(avatar_component_clause,[],[f30936]) ).
fof(f30938,plain,
( spl874_43
| spl874_254 ),
inference(avatar_split_clause,[],[f30933,f30936,f28733]) ).
fof(f31600,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK44))
| ~ v10_lattices(k1_lattice2(sK44))
| k3_filter_0(k1_lattice2(sK44),X0) = k3_filter_2(k1_lattice2(sK44),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK44)))) ),
inference(resolution,[],[f19756,f28831]) ).
fof(f31601,plain,
! [X0] :
( v3_struct_0(k1_lattice2(sK44))
| k3_filter_0(k1_lattice2(sK44),X0) = k3_filter_2(k1_lattice2(sK44),X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k1_lattice2(sK44)))) ),
inference(forward_subsumption_resolution,[],[f31600,f28879]) ).
fof(f31603,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v3_struct_0(k1_lattice2(sK44))
| k3_filter_0(k1_lattice2(sK44),X0) = k3_filter_2(k1_lattice2(sK44),X0)
| v1_xboole_0(X0) ),
inference(forward_demodulation,[],[f31601,f28723]) ).
fof(f31606,definition,
( spl874_262
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k3_filter_0(k1_lattice2(sK44),X0) = k3_filter_2(k1_lattice2(sK44),X0) ) ),
introduced(definition,[new_symbols(definition,[spl874_262])],[avatar_definition]) ).
fof(f31607,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k3_filter_0(k1_lattice2(sK44),X0) = k3_filter_2(k1_lattice2(sK44),X0) )
| ~ spl874_262 ),
inference(avatar_component_clause,[],[f31606]) ).
fof(f31608,plain,
( spl874_43
| spl874_262 ),
inference(avatar_split_clause,[],[f31603,f31606,f28733]) ).
fof(f31670,plain,
( v1_xboole_0(k20_filter_2(sK44,sK46,k19_filter_2(sK44,sK45)))
| k3_filter_0(k1_lattice2(sK44),k20_filter_2(sK44,sK46,k19_filter_2(sK44,sK45))) = k3_filter_2(k1_lattice2(sK44),k20_filter_2(sK44,sK46,k19_filter_2(sK44,sK45)))
| ~ spl874_150
| ~ spl874_262 ),
inference(resolution,[],[f31607,f29553]) ).
fof(f31675,plain,
( v1_xboole_0(k20_filter_2(sK44,sK46,sK45))
| k3_filter_0(k1_lattice2(sK44),k20_filter_2(sK44,sK46,k19_filter_2(sK44,sK45))) = k3_filter_2(k1_lattice2(sK44),k20_filter_2(sK44,sK46,k19_filter_2(sK44,sK45)))
| ~ spl874_150
| ~ spl874_236
| ~ spl874_262 ),
inference(forward_demodulation,[],[f31670,f30334]) ).
fof(f33328,plain,
( ~ v1_xboole_0(sK45)
| ~ spl874_73
| ~ spl874_228 ),
inference(resolution,[],[f30254,f29180]) ).
fof(f33329,plain,
( ~ v1_xboole_0(sK46)
| ~ spl874_72
| ~ spl874_228 ),
inference(resolution,[],[f30254,f29238]) ).
fof(f40283,plain,
m1_subset_1(k4_subset_1(k1_filter_0(sK44),sK45,sK46),k1_zfmisc_1(k1_filter_0(sK44))),
inference(resolution,[],[f29201,f29109]) ).
fof(f40289,plain,
m1_subset_1(k2_xboole_0(sK45,sK46),k1_zfmisc_1(k1_filter_0(sK44))),
inference(forward_demodulation,[],[f40283,f29862]) ).
fof(f40322,plain,
( v1_xboole_0(k2_xboole_0(sK45,sK46))
| k19_filter_2(sK44,k2_xboole_0(sK45,sK46)) = k3_filter_2(k1_lattice2(sK44),k7_filter_2(sK44,k2_xboole_0(sK45,sK46)))
| ~ spl874_69 ),
inference(resolution,[],[f40289,f28979]) ).
fof(f40325,plain,
k2_xboole_0(sK45,sK46) = k7_filter_2(sK44,k2_xboole_0(sK45,sK46)),
inference(resolution,[],[f40289,f29044]) ).
fof(f40333,plain,
k2_xboole_0(k2_xboole_0(sK45,sK46),sK46) = k4_subset_1(k1_filter_0(sK44),k2_xboole_0(sK45,sK46),sK46),
inference(resolution,[],[f40289,f29200]) ).
fof(f40353,plain,
( v1_xboole_0(k2_xboole_0(sK45,sK46))
| k3_filter_0(k1_lattice2(sK44),k2_xboole_0(sK45,sK46)) = k3_filter_2(k1_lattice2(sK44),k2_xboole_0(sK45,sK46))
| ~ spl874_262 ),
inference(resolution,[],[f40289,f31607]) ).
fof(f40385,plain,
k4_subset_1(k1_filter_0(sK44),k2_xboole_0(sK45,sK46),sK46) = k2_xboole_0(sK46,k2_xboole_0(sK45,sK46)),
inference(forward_demodulation,[],[f40333,f21548]) ).
fof(f40475,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK44))
| k3_filter_0(k1_lattice2(sK44),k5_filter_0(k1_lattice2(sK44),X0,sK46)) = k3_filter_0(k1_lattice2(sK44),k4_subset_1(k1_filter_0(sK44),X0,sK46)) )
| ~ spl874_72
| ~ spl874_254 ),
inference(resolution,[],[f30937,f29238]) ).
fof(f40508,plain,
( k3_filter_0(k1_lattice2(sK44),k5_filter_0(k1_lattice2(sK44),sK45,sK46)) = k3_filter_0(k1_lattice2(sK44),k4_subset_1(k1_filter_0(sK44),sK45,sK46))
| ~ spl874_72
| ~ spl874_73
| ~ spl874_254 ),
inference(resolution,[],[f40475,f29180]) ).
fof(f40511,plain,
( k3_filter_0(k1_lattice2(sK44),k2_xboole_0(sK45,sK46)) = k3_filter_0(k1_lattice2(sK44),k5_filter_0(k1_lattice2(sK44),sK45,sK46))
| ~ spl874_72
| ~ spl874_73
| ~ spl874_254 ),
inference(forward_demodulation,[],[f40508,f29862]) ).
fof(f40517,plain,
( k3_filter_0(k1_lattice2(sK44),k20_filter_2(sK44,sK45,sK46)) = k3_filter_0(k1_lattice2(sK44),k2_xboole_0(sK45,sK46))
| ~ spl874_72
| ~ spl874_73
| ~ spl874_103
| ~ spl874_254 ),
inference(forward_demodulation,[],[f40511,f29251]) ).
fof(f40523,plain,
( k3_filter_0(k1_lattice2(sK44),k2_xboole_0(sK45,sK46)) = k3_filter_0(k1_lattice2(sK44),a_3_0_filter_2(sK44,sK45,sK46))
| ~ spl874_72
| ~ spl874_73
| ~ spl874_103
| ~ spl874_215
| ~ spl874_254 ),
inference(forward_demodulation,[],[f40517,f30094]) ).
fof(f42135,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k5_filter_0(k1_lattice2(sK44),X1,X0) = k5_filter_0(k1_lattice2(sK44),X0,X1)
| v3_struct_0(k1_lattice2(sK44))
| ~ v10_lattices(k1_lattice2(sK44))
| ~ l3_lattices(k1_lattice2(sK44)) ),
inference(superposition,[],[f20092,f28723]) ).
fof(f42139,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k5_filter_0(k1_lattice2(sK44),X1,X0) = k5_filter_0(k1_lattice2(sK44),X0,X1)
| v3_struct_0(k1_lattice2(sK44))
| ~ l3_lattices(k1_lattice2(sK44)) ),
inference(forward_subsumption_resolution,[],[f42135,f28879]) ).
fof(f42142,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k5_filter_0(k1_lattice2(sK44),X1,X0) = k5_filter_0(k1_lattice2(sK44),X0,X1)
| v3_struct_0(k1_lattice2(sK44)) ),
inference(forward_subsumption_resolution,[],[f42139,f28831]) ).
fof(f42146,definition,
( spl874_874
<=> ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| k5_filter_0(k1_lattice2(sK44),X1,X0) = k5_filter_0(k1_lattice2(sK44),X0,X1)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44))) ) ),
introduced(definition,[new_symbols(definition,[spl874_874])],[avatar_definition]) ).
fof(f42147,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| k5_filter_0(k1_lattice2(sK44),X1,X0) = k5_filter_0(k1_lattice2(sK44),X0,X1)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) )
| ~ spl874_874 ),
inference(avatar_component_clause,[],[f42146]) ).
fof(f42148,plain,
( spl874_43
| spl874_874 ),
inference(avatar_split_clause,[],[f42142,f42146,f28733]) ).
fof(f42167,plain,
( ! [X0] :
( k5_filter_0(k1_lattice2(sK44),sK46,X0) = k5_filter_0(k1_lattice2(sK44),X0,sK46)
| v1_xboole_0(X0)
| v1_xboole_0(sK46)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) )
| ~ spl874_874 ),
inference(resolution,[],[f42147,f29110]) ).
fof(f42171,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| k5_filter_0(k1_lattice2(sK44),sK46,X0) = k5_filter_0(k1_lattice2(sK44),X0,sK46) )
| ~ spl874_72
| ~ spl874_228
| ~ spl874_874 ),
inference(forward_subsumption_resolution,[],[f42167,f33329]) ).
fof(f42206,plain,
( v1_xboole_0(sK45)
| k5_filter_0(k1_lattice2(sK44),sK46,sK45) = k5_filter_0(k1_lattice2(sK44),sK45,sK46)
| ~ spl874_72
| ~ spl874_228
| ~ spl874_874 ),
inference(resolution,[],[f42171,f29109]) ).
fof(f42211,plain,
( k5_filter_0(k1_lattice2(sK44),sK46,sK45) = k5_filter_0(k1_lattice2(sK44),sK45,sK46)
| ~ spl874_72
| ~ spl874_73
| ~ spl874_228
| ~ spl874_874 ),
inference(forward_subsumption_resolution,[],[f42206,f33328]) ).
fof(f42222,plain,
( k20_filter_2(sK44,sK45,sK46) = k5_filter_0(k1_lattice2(sK44),sK46,sK45)
| ~ spl874_72
| ~ spl874_73
| ~ spl874_103
| ~ spl874_228
| ~ spl874_874 ),
inference(forward_demodulation,[],[f42211,f29251]) ).
fof(f42229,plain,
( k5_filter_0(k1_lattice2(sK44),sK46,sK45) = a_3_0_filter_2(sK44,sK45,sK46)
| ~ spl874_72
| ~ spl874_73
| ~ spl874_103
| ~ spl874_215
| ~ spl874_228
| ~ spl874_874 ),
inference(forward_demodulation,[],[f42222,f30094]) ).
fof(f42323,plain,
( k20_filter_2(sK44,sK46,sK45) = a_3_0_filter_2(sK44,sK45,sK46)
| ~ spl874_72
| ~ spl874_73
| ~ spl874_101
| ~ spl874_103
| ~ spl874_215
| ~ spl874_228
| ~ spl874_874 ),
inference(superposition,[],[f29232,f42229]) ).
fof(f42335,plain,
( a_3_0_filter_2(sK44,sK45,sK46) = a_3_0_filter_2(sK44,sK46,sK45)
| ~ spl874_72
| ~ spl874_73
| ~ spl874_101
| ~ spl874_103
| ~ spl874_215
| ~ spl874_221
| ~ spl874_228
| ~ spl874_874 ),
inference(superposition,[],[f30177,f42323]) ).
fof(f46714,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| ~ v1_xboole_0(k20_filter_2(sK44,X1,X0)) ),
inference(superposition,[],[f19938,f28698]) ).
fof(f46722,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| ~ v1_xboole_0(k20_filter_2(sK44,X1,X0)) ),
inference(forward_subsumption_resolution,[],[f46714,f19959]) ).
fof(f46725,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ l3_lattices(sK44)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| ~ v1_xboole_0(k20_filter_2(sK44,X1,X0)) ),
inference(forward_subsumption_resolution,[],[f46722,f19958]) ).
fof(f46728,plain,
! [X0,X1] :
( ~ v1_xboole_0(k20_filter_2(sK44,X1,X0))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44))) ),
inference(forward_subsumption_resolution,[],[f46725,f19957]) ).
fof(f46742,plain,
( ~ v1_xboole_0(a_3_0_filter_2(sK44,k19_filter_2(sK44,sK45),sK46))
| v1_xboole_0(k19_filter_2(sK44,sK45))
| ~ m1_subset_1(k19_filter_2(sK44,sK45),k1_zfmisc_1(k1_filter_0(sK44)))
| v1_xboole_0(sK46)
| ~ m1_subset_1(sK46,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ spl874_216 ),
inference(superposition,[],[f46728,f30098]) ).
fof(f46771,plain,
( ~ v1_xboole_0(a_3_0_filter_2(sK44,k19_filter_2(sK44,sK45),sK46))
| v1_xboole_0(k19_filter_2(sK44,sK45))
| v1_xboole_0(sK46)
| ~ m1_subset_1(sK46,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ spl874_86
| ~ spl874_216 ),
inference(forward_subsumption_resolution,[],[f46742,f29339]) ).
fof(f46788,plain,
( ~ v1_xboole_0(a_3_0_filter_2(sK44,k19_filter_2(sK44,sK45),sK46))
| v1_xboole_0(k19_filter_2(sK44,sK45))
| ~ m1_subset_1(sK46,k1_zfmisc_1(k1_filter_0(sK44)))
| ~ spl874_72
| ~ spl874_86
| ~ spl874_216
| ~ spl874_228 ),
inference(forward_subsumption_resolution,[],[f46771,f33329]) ).
fof(f46809,plain,
( ~ v1_xboole_0(a_3_0_filter_2(sK44,k19_filter_2(sK44,sK45),sK46))
| v1_xboole_0(k19_filter_2(sK44,sK45))
| ~ spl874_72
| ~ spl874_86
| ~ spl874_216
| ~ spl874_228 ),
inference(forward_subsumption_resolution,[],[f46788,f29110]) ).
fof(f46822,plain,
( ~ v1_xboole_0(a_3_0_filter_2(sK44,sK45,sK46))
| v1_xboole_0(k19_filter_2(sK44,sK45))
| ~ spl874_72
| ~ spl874_86
| ~ spl874_216
| ~ spl874_228
| ~ spl874_236 ),
inference(forward_demodulation,[],[f46809,f30334]) ).
fof(f46842,plain,
( v1_xboole_0(k19_filter_2(sK44,sK45))
| ~ spl874_72
| ~ spl874_86
| ~ spl874_127
| ~ spl874_215
| ~ spl874_216
| ~ spl874_228
| ~ spl874_236 ),
inference(forward_subsumption_resolution,[],[f46822,f30135]) ).
fof(f46847,plain,
( v1_xboole_0(sK45)
| ~ spl874_72
| ~ spl874_86
| ~ spl874_127
| ~ spl874_215
| ~ spl874_216
| ~ spl874_228
| ~ spl874_236 ),
inference(forward_demodulation,[],[f46842,f30334]) ).
fof(f46854,plain,
( $false
| ~ spl874_72
| ~ spl874_73
| ~ spl874_86
| ~ spl874_127
| ~ spl874_215
| ~ spl874_216
| ~ spl874_228
| ~ spl874_236 ),
inference(forward_subsumption_resolution,[],[f46847,f33328]) ).
fof(f46855,plain,
( ~ spl874_72
| ~ spl874_73
| ~ spl874_86
| ~ spl874_127
| ~ spl874_215
| ~ spl874_216
| ~ spl874_228
| ~ spl874_236 ),
inference(avatar_contradiction_clause,[],[f46854]) ).
fof(f46864,plain,
( k19_filter_2(sK44,a_3_0_filter_2(sK44,sK45,sK46)) = k3_filter_2(k1_lattice2(sK44),a_3_0_filter_2(sK44,sK45,sK46))
| ~ spl874_136
| ~ spl874_215 ),
inference(forward_demodulation,[],[f29467,f30094]) ).
fof(f47029,plain,
( v1_xboole_0(a_3_0_filter_2(sK44,sK46,sK45))
| k3_filter_0(k1_lattice2(sK44),k20_filter_2(sK44,sK46,k19_filter_2(sK44,sK45))) = k3_filter_2(k1_lattice2(sK44),k20_filter_2(sK44,sK46,k19_filter_2(sK44,sK45)))
| ~ spl874_150
| ~ spl874_221
| ~ spl874_236
| ~ spl874_262 ),
inference(forward_demodulation,[],[f31675,f30177]) ).
fof(f47776,plain,
( v1_xboole_0(sK45)
| ~ v1_xboole_0(a_3_0_filter_2(sK44,sK45,sK46))
| ~ spl874_72
| ~ spl874_86
| ~ spl874_216
| ~ spl874_228
| ~ spl874_236 ),
inference(forward_demodulation,[],[f46822,f30334]) ).
fof(f47914,plain,
( v1_xboole_0(a_3_0_filter_2(sK44,sK45,sK46))
| k3_filter_0(k1_lattice2(sK44),k20_filter_2(sK44,sK46,k19_filter_2(sK44,sK45))) = k3_filter_2(k1_lattice2(sK44),k20_filter_2(sK44,sK46,k19_filter_2(sK44,sK45)))
| ~ spl874_72
| ~ spl874_73
| ~ spl874_101
| ~ spl874_103
| ~ spl874_150
| ~ spl874_215
| ~ spl874_221
| ~ spl874_228
| ~ spl874_236
| ~ spl874_262
| ~ spl874_874 ),
inference(forward_demodulation,[],[f47029,f42335]) ).
fof(f48527,plain,
( ~ v1_xboole_0(a_3_0_filter_2(sK44,sK45,sK46))
| ~ spl874_72
| ~ spl874_73
| ~ spl874_86
| ~ spl874_216
| ~ spl874_228
| ~ spl874_236 ),
inference(forward_subsumption_resolution,[],[f47776,f33328]) ).
fof(f48648,plain,
( k3_filter_2(k1_lattice2(sK44),k20_filter_2(sK44,sK46,sK45)) = k3_filter_0(k1_lattice2(sK44),k20_filter_2(sK44,sK46,sK45))
| v1_xboole_0(a_3_0_filter_2(sK44,sK45,sK46))
| ~ spl874_72
| ~ spl874_73
| ~ spl874_101
| ~ spl874_103
| ~ spl874_150
| ~ spl874_215
| ~ spl874_221
| ~ spl874_228
| ~ spl874_236
| ~ spl874_262
| ~ spl874_874 ),
inference(forward_demodulation,[],[f47914,f30334]) ).
fof(f49041,definition,
( spl874_1318
<=> k19_filter_2(sK44,a_3_0_filter_2(sK44,sK45,sK46)) = k3_filter_0(k1_lattice2(sK44),k2_xboole_0(sK45,sK46)) ),
introduced(definition,[new_symbols(definition,[spl874_1318])],[avatar_definition]) ).
fof(f49042,plain,
( k19_filter_2(sK44,a_3_0_filter_2(sK44,sK45,sK46)) = k3_filter_0(k1_lattice2(sK44),k2_xboole_0(sK45,sK46))
| ~ spl874_1318 ),
inference(avatar_component_clause,[],[f49041]) ).
fof(f49119,plain,
( k3_filter_2(k1_lattice2(sK44),k20_filter_2(sK44,sK46,sK45)) = k3_filter_0(k1_lattice2(sK44),k20_filter_2(sK44,sK46,sK45))
| ~ spl874_72
| ~ spl874_73
| ~ spl874_86
| ~ spl874_101
| ~ spl874_103
| ~ spl874_150
| ~ spl874_215
| ~ spl874_216
| ~ spl874_221
| ~ spl874_228
| ~ spl874_236
| ~ spl874_262
| ~ spl874_874 ),
inference(forward_subsumption_resolution,[],[f48648,f48527]) ).
fof(f49419,plain,
( k3_filter_0(k1_lattice2(sK44),a_3_0_filter_2(sK44,sK46,sK45)) = k3_filter_2(k1_lattice2(sK44),a_3_0_filter_2(sK44,sK46,sK45))
| ~ spl874_72
| ~ spl874_73
| ~ spl874_86
| ~ spl874_101
| ~ spl874_103
| ~ spl874_150
| ~ spl874_215
| ~ spl874_216
| ~ spl874_221
| ~ spl874_228
| ~ spl874_236
| ~ spl874_262
| ~ spl874_874 ),
inference(forward_demodulation,[],[f49119,f30177]) ).
fof(f49687,plain,
( k3_filter_0(k1_lattice2(sK44),a_3_0_filter_2(sK44,sK45,sK46)) = k3_filter_2(k1_lattice2(sK44),a_3_0_filter_2(sK44,sK45,sK46))
| ~ spl874_72
| ~ spl874_73
| ~ spl874_86
| ~ spl874_101
| ~ spl874_103
| ~ spl874_150
| ~ spl874_215
| ~ spl874_216
| ~ spl874_221
| ~ spl874_228
| ~ spl874_236
| ~ spl874_262
| ~ spl874_874 ),
inference(forward_demodulation,[],[f49419,f42335]) ).
fof(f49806,plain,
( k19_filter_2(sK44,a_3_0_filter_2(sK44,sK45,sK46)) = k3_filter_0(k1_lattice2(sK44),a_3_0_filter_2(sK44,sK45,sK46))
| ~ spl874_72
| ~ spl874_73
| ~ spl874_86
| ~ spl874_101
| ~ spl874_103
| ~ spl874_136
| ~ spl874_150
| ~ spl874_215
| ~ spl874_216
| ~ spl874_221
| ~ spl874_228
| ~ spl874_236
| ~ spl874_262
| ~ spl874_874 ),
inference(forward_demodulation,[],[f49687,f46864]) ).
fof(f49859,plain,
( k19_filter_2(sK44,a_3_0_filter_2(sK44,sK45,sK46)) = k3_filter_0(k1_lattice2(sK44),k2_xboole_0(sK45,sK46))
| ~ spl874_72
| ~ spl874_73
| ~ spl874_86
| ~ spl874_101
| ~ spl874_103
| ~ spl874_136
| ~ spl874_150
| ~ spl874_215
| ~ spl874_216
| ~ spl874_221
| ~ spl874_228
| ~ spl874_236
| ~ spl874_254
| ~ spl874_262
| ~ spl874_874 ),
inference(forward_demodulation,[],[f49806,f40523]) ).
fof(f49873,plain,
( spl874_1318
| ~ spl874_72
| ~ spl874_73
| ~ spl874_86
| ~ spl874_101
| ~ spl874_103
| ~ spl874_136
| ~ spl874_150
| ~ spl874_215
| ~ spl874_216
| ~ spl874_221
| ~ spl874_228
| ~ spl874_236
| ~ spl874_254
| ~ spl874_262
| ~ spl874_874 ),
inference(avatar_split_clause,[],[f49859,f42146,f31606,f30936,f30333,f30253,f30176,f30097,f30093,f29552,f29466,f29250,f29231,f29137,f29012,f29005,f49041]) ).
fof(f51448,plain,
( k4_subset_1(k1_filter_0(sK44),k2_xboole_0(sK45,sK46),k19_filter_2(sK44,sK46)) = k2_xboole_0(k2_xboole_0(sK45,sK46),k19_filter_2(sK44,sK46))
| ~ spl874_97 ),
inference(resolution,[],[f29290,f40289]) ).
fof(f51503,plain,
( k4_subset_1(k1_filter_0(sK44),k2_xboole_0(sK45,sK46),k19_filter_2(sK44,sK46)) = k2_xboole_0(sK45,k2_xboole_0(sK46,k19_filter_2(sK44,sK46)))
| ~ spl874_97 ),
inference(forward_demodulation,[],[f51448,f21545]) ).
fof(f51530,plain,
( k4_subset_1(k1_filter_0(sK44),k2_xboole_0(sK45,sK46),sK46) = k2_xboole_0(sK45,k2_xboole_0(sK46,sK46))
| ~ spl874_97
| ~ spl874_235 ),
inference(forward_demodulation,[],[f51503,f30330]) ).
fof(f51540,plain,
( k2_xboole_0(sK45,sK46) = k4_subset_1(k1_filter_0(sK44),k2_xboole_0(sK45,sK46),sK46)
| ~ spl874_97
| ~ spl874_235 ),
inference(forward_demodulation,[],[f51530,f21547]) ).
fof(f55497,plain,
( ~ r1_filter_2(k1_filter_0(sK44),a_3_1_filter_2(sK44,sK45,sK46),k3_filter_0(k1_lattice2(sK44),k2_xboole_0(sK45,sK46)))
| ~ spl874_215
| ~ spl874_1318 ),
inference(superposition,[],[f30132,f49042]) ).
fof(f57568,plain,
( k2_xboole_0(sK45,sK46) = k2_xboole_0(sK46,k2_xboole_0(sK45,sK46))
| ~ spl874_97
| ~ spl874_235 ),
inference(superposition,[],[f51540,f40385]) ).
fof(f71910,plain,
! [X2,X3,X0,X1] :
( ~ l3_lattices(X0)
| ~ r1_filter_2(X3,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| r2_hidden(sK35(X0,X1),X2) ),
inference(resolution,[],[f28536,f19876]) ).
fof(f71936,plain,
! [X2,X0,X1] :
( ~ r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m2_filter_2(X2,sK44)
| v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| r2_hidden(sK35(sK44,X2),X1) ),
inference(resolution,[],[f71910,f19957]) ).
fof(f71937,plain,
! [X2,X0,X1] :
( ~ r1_filter_2(X0,X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m2_filter_2(X2,sK44)
| ~ v10_lattices(sK44)
| r2_hidden(sK35(sK44,X2),X1) ),
inference(forward_subsumption_resolution,[],[f71936,f19959]) ).
fof(f71943,plain,
! [X2,X0,X1] :
( ~ m2_filter_2(X2,sK44)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X1,X2)
| r2_hidden(sK35(sK44,X2),X1) ),
inference(forward_subsumption_resolution,[],[f71937,f19958]) ).
fof(f71963,plain,
! [X0,X1] :
( ~ m1_subset_1(sK46,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ r1_filter_2(X0,X1,sK46)
| r2_hidden(sK35(sK44,sK46),X1) ),
inference(resolution,[],[f71943,f19961]) ).
fof(f71996,plain,
! [X0] :
( ~ r1_filter_2(k1_filter_0(sK44),X0,sK46)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_filter_0(sK44)))
| r2_hidden(sK35(sK44,sK46),X0) ),
inference(resolution,[],[f71963,f29110]) ).
fof(f72020,plain,
( ~ m1_subset_1(sK46,k1_zfmisc_1(k1_filter_0(sK44)))
| r2_hidden(sK35(sK44,sK46),sK46)
| ~ spl874_230 ),
inference(resolution,[],[f71996,f30271]) ).
fof(f72022,plain,
( r2_hidden(sK35(sK44,sK46),sK46)
| ~ spl874_230 ),
inference(forward_subsumption_resolution,[],[f72020,f29110]) ).
fof(f80486,plain,
! [X0] : k2_xboole_0(np__0,X0) = X0,
inference(resolution,[],[f25981,f21537]) ).
fof(f80873,definition,
( spl874_3183
<=> v1_xboole_0(k2_xboole_0(sK45,sK46)) ),
introduced(definition,[new_symbols(definition,[spl874_3183])],[avatar_definition]) ).
fof(f80874,plain,
( v1_xboole_0(k2_xboole_0(sK45,sK46))
| ~ spl874_3183 ),
inference(avatar_component_clause,[],[f80873]) ).
fof(f80909,definition,
( spl874_3191
<=> k3_filter_0(k1_lattice2(sK44),k2_xboole_0(sK45,sK46)) = k3_filter_2(k1_lattice2(sK44),k2_xboole_0(sK45,sK46)) ),
introduced(definition,[new_symbols(definition,[spl874_3191])],[avatar_definition]) ).
fof(f80910,plain,
( k3_filter_0(k1_lattice2(sK44),k2_xboole_0(sK45,sK46)) = k3_filter_2(k1_lattice2(sK44),k2_xboole_0(sK45,sK46))
| ~ spl874_3191 ),
inference(avatar_component_clause,[],[f80909]) ).
fof(f80911,plain,
( spl874_3191
| spl874_3183
| ~ spl874_262 ),
inference(avatar_split_clause,[],[f40353,f31606,f80873,f80909]) ).
fof(f80960,plain,
( k19_filter_2(sK44,k2_xboole_0(sK45,sK46)) = k3_filter_2(k1_lattice2(sK44),k2_xboole_0(sK45,sK46))
| v1_xboole_0(k2_xboole_0(sK45,sK46))
| ~ spl874_69 ),
inference(forward_demodulation,[],[f40322,f40325]) ).
fof(f81144,plain,
( a_3_1_filter_2(sK44,sK45,sK46) = k3_filter_2(k1_lattice2(sK44),k2_xboole_0(sK45,sK46))
| v1_xboole_0(k2_xboole_0(sK45,sK46))
| ~ spl874_69 ),
inference(forward_demodulation,[],[f80960,f29908]) ).
fof(f81227,definition,
( spl874_3249
<=> a_3_1_filter_2(sK44,sK45,sK46) = k3_filter_2(k1_lattice2(sK44),k2_xboole_0(sK45,sK46)) ),
introduced(definition,[new_symbols(definition,[spl874_3249])],[avatar_definition]) ).
fof(f81228,plain,
( a_3_1_filter_2(sK44,sK45,sK46) = k3_filter_2(k1_lattice2(sK44),k2_xboole_0(sK45,sK46))
| ~ spl874_3249 ),
inference(avatar_component_clause,[],[f81227]) ).
fof(f81229,plain,
( spl874_3183
| spl874_3249
| ~ spl874_69 ),
inference(avatar_split_clause,[],[f81144,f28978,f81227,f80873]) ).
fof(f225577,plain,
( np__0 = k2_xboole_0(sK45,sK46)
| ~ spl874_3183 ),
inference(resolution,[],[f25984,f80874]) ).
fof(f225608,plain,
( np__0 = k2_xboole_0(sK46,np__0)
| ~ spl874_97
| ~ spl874_235
| ~ spl874_3183 ),
inference(superposition,[],[f57568,f225577]) ).
fof(f225618,plain,
( np__0 = k2_xboole_0(np__0,sK46)
| ~ spl874_97
| ~ spl874_235
| ~ spl874_3183 ),
inference(forward_demodulation,[],[f225608,f21548]) ).
fof(f225623,plain,
( np__0 = sK46
| ~ spl874_97
| ~ spl874_235
| ~ spl874_3183 ),
inference(forward_demodulation,[],[f225618,f80486]) ).
fof(f226314,plain,
( r2_hidden(sK35(sK44,np__0),np__0)
| ~ spl874_97
| ~ spl874_230
| ~ spl874_235
| ~ spl874_3183 ),
inference(superposition,[],[f72022,f225623]) ).
fof(f227787,plain,
( $false
| ~ spl874_97
| ~ spl874_230
| ~ spl874_235
| ~ spl874_3183 ),
inference(forward_subsumption_resolution,[],[f226314,f27258]) ).
fof(f227788,plain,
( ~ spl874_97
| ~ spl874_230
| ~ spl874_235
| ~ spl874_3183 ),
inference(avatar_contradiction_clause,[],[f227787]) ).
fof(f229191,plain,
( a_3_1_filter_2(sK44,sK45,sK46) = k3_filter_0(k1_lattice2(sK44),k2_xboole_0(sK45,sK46))
| ~ spl874_3191
| ~ spl874_3249 ),
inference(superposition,[],[f81228,f80910]) ).
fof(f229560,plain,
( ~ r1_filter_2(k1_filter_0(sK44),a_3_1_filter_2(sK44,sK45,sK46),a_3_1_filter_2(sK44,sK45,sK46))
| ~ spl874_215
| ~ spl874_1318
| ~ spl874_3191
| ~ spl874_3249 ),
inference(superposition,[],[f55497,f229191]) ).
fof(f229562,plain,
( $false
| ~ spl874_215
| ~ spl874_245
| ~ spl874_1318
| ~ spl874_3191
| ~ spl874_3249 ),
inference(forward_subsumption_resolution,[],[f229560,f30458]) ).
fof(f229563,plain,
( ~ spl874_215
| ~ spl874_245
| ~ spl874_1318
| ~ spl874_3191
| ~ spl874_3249 ),
inference(avatar_contradiction_clause,[],[f229562]) ).
cnf(s46,plain,
~ spl874_43,
inference(sat_conversion,[],[f28858]) ).
cnf(s62,plain,
( spl874_68
| spl874_69 ),
inference(sat_conversion,[],[f28980]) ).
cnf(s65,plain,
( spl874_43
| spl874_72 ),
inference(sat_conversion,[],[f29007]) ).
cnf(s66,plain,
( spl874_43
| spl874_73 ),
inference(sat_conversion,[],[f29014]) ).
cnf(s75,plain,
( ~ spl874_68
| spl874_85 ),
inference(sat_conversion,[],[f29140]) ).
cnf(s79,plain,
( spl874_68
| spl874_68
| spl874_90 ),
inference(sat_conversion,[],[f29163]) ).
cnf(s80,plain,
( spl874_68
| spl874_90 ),
inference(rat,[],[s79]) ).
cnf(s82,plain,
~ spl874_85,
inference(sat_conversion,[],[f29167]) ).
cnf(s84,plain,
( spl874_85
| ~ spl874_90
| spl874_92 ),
inference(sat_conversion,[],[f29178]) ).
cnf(s85,plain,
( spl874_85
| spl874_93 ),
inference(sat_conversion,[],[f29187]) ).
cnf(s88,plain,
( spl874_96
| spl874_98 ),
inference(sat_conversion,[],[f29220]) ).
cnf(s90,plain,
( ~ spl874_90
| spl874_96
| spl874_100 ),
inference(sat_conversion,[],[f29229]) ).
cnf(s91,plain,
( ~ spl874_92
| spl874_96
| spl874_101 ),
inference(sat_conversion,[],[f29233]) ).
cnf(s92,plain,
~ spl874_96,
inference(sat_conversion,[],[f29236]) ).
cnf(s94,plain,
( spl874_85
| ~ spl874_100
| spl874_103 ),
inference(sat_conversion,[],[f29252]) ).
cnf(s98,plain,
( spl874_96
| spl874_97 ),
inference(sat_conversion,[],[f29266]) ).
cnf(s100,plain,
( spl874_85
| spl874_86 ),
inference(sat_conversion,[],[f29272]) ).
cnf(s119,plain,
( ~ spl874_93
| spl874_96
| spl874_125 ),
inference(sat_conversion,[],[f29408]) ).
cnf(s129,plain,
( ~ spl874_69
| ~ spl874_125
| spl874_127
| spl874_136 ),
inference(sat_conversion,[],[f29468]) ).
cnf(s139,plain,
( ~ spl874_86
| ~ spl874_115 ),
inference(sat_conversion,[],[f29529]) ).
cnf(s143,plain,
( ~ spl874_86
| ~ spl874_98
| spl874_115
| spl874_150 ),
inference(sat_conversion,[],[f29554]) ).
cnf(s189,plain,
( spl874_96
| spl874_200 ),
inference(sat_conversion,[],[f29905]) ).
cnf(s201,plain,
( spl874_96
| spl874_210 ),
inference(sat_conversion,[],[f30067]) ).
cnf(s202,plain,
( spl874_85
| spl874_211 ),
inference(sat_conversion,[],[f30071]) ).
cnf(s206,plain,
( spl874_85
| ~ spl874_210
| spl874_215 ),
inference(sat_conversion,[],[f30095]) ).
cnf(s207,plain,
( ~ spl874_86
| spl874_115
| ~ spl874_210
| spl874_216 ),
inference(sat_conversion,[],[f30099]) ).
cnf(s213,plain,
( spl874_96
| ~ spl874_211
| spl874_221 ),
inference(sat_conversion,[],[f30178]) ).
cnf(s221,plain,
( spl874_43
| spl874_228 ),
inference(sat_conversion,[],[f30255]) ).
cnf(s222,plain,
~ spl874_81,
inference(sat_conversion,[],[f30261]) ).
cnf(s224,plain,
( spl874_81
| spl874_230 ),
inference(sat_conversion,[],[f30272]) ).
cnf(s229,plain,
( spl874_96
| spl874_235 ),
inference(sat_conversion,[],[f30331]) ).
cnf(s230,plain,
( spl874_85
| spl874_236 ),
inference(sat_conversion,[],[f30335]) ).
cnf(s239,plain,
( spl874_85
| ~ spl874_97
| ~ spl874_200
| ~ spl874_235
| spl874_245 ),
inference(sat_conversion,[],[f30459]) ).
cnf(s247,plain,
( spl874_43
| spl874_254 ),
inference(sat_conversion,[],[f30938]) ).
cnf(s256,plain,
( spl874_43
| spl874_262 ),
inference(sat_conversion,[],[f31608]) ).
cnf(s877,plain,
( spl874_43
| spl874_874 ),
inference(sat_conversion,[],[f42148]) ).
cnf(s1207,plain,
( ~ spl874_72
| ~ spl874_73
| ~ spl874_86
| ~ spl874_127
| ~ spl874_215
| ~ spl874_216
| ~ spl874_228
| ~ spl874_236 ),
inference(sat_conversion,[],[f46855]) ).
cnf(s1726,plain,
( ~ spl874_72
| ~ spl874_73
| ~ spl874_86
| ~ spl874_101
| ~ spl874_103
| ~ spl874_136
| ~ spl874_150
| ~ spl874_215
| ~ spl874_216
| ~ spl874_221
| ~ spl874_228
| ~ spl874_236
| ~ spl874_254
| ~ spl874_262
| ~ spl874_874
| spl874_1318 ),
inference(sat_conversion,[],[f49873]) ).
cnf(s3656,plain,
( ~ spl874_262
| spl874_3183
| spl874_3191 ),
inference(sat_conversion,[],[f80911]) ).
cnf(s3731,plain,
( ~ spl874_69
| spl874_3183
| spl874_3249 ),
inference(sat_conversion,[],[f81229]) ).
cnf(s10006,plain,
( ~ spl874_97
| ~ spl874_230
| ~ spl874_235
| ~ spl874_3183 ),
inference(sat_conversion,[],[f227788]) ).
cnf(s10140,plain,
( ~ spl874_215
| ~ spl874_245
| ~ spl874_1318
| ~ spl874_3191
| ~ spl874_3249 ),
inference(sat_conversion,[],[f229563]) ).
cnf(s10655,plain,
spl874_230,
inference(rat,[],[s224,s222]) ).
cnf(s10664,plain,
spl874_235,
inference(rat,[],[s229,s92]) ).
cnf(s10665,plain,
spl874_210,
inference(rat,[],[s201,s92]) ).
cnf(s10666,plain,
spl874_200,
inference(rat,[],[s189,s92]) ).
cnf(s10669,plain,
spl874_97,
inference(rat,[],[s98,s92]) ).
cnf(s10674,plain,
~ spl874_3183,
inference(rat,[],[s10006,s10664,s10655,s10669]) ).
cnf(s10709,plain,
( ~ spl874_92
| spl874_101 ),
inference(rat,[],[s91,s92]) ).
cnf(s10710,plain,
( ~ spl874_90
| spl874_100 ),
inference(rat,[],[s90,s92]) ).
cnf(s10712,plain,
spl874_98,
inference(rat,[],[s88,s92]) ).
cnf(s10718,plain,
spl874_245,
inference(rat,[],[s239,s10669,s10664,s10666,s82]) ).
cnf(s10719,plain,
spl874_236,
inference(rat,[],[s230,s82]) ).
cnf(s10720,plain,
spl874_215,
inference(rat,[],[s206,s10665,s82]) ).
cnf(s10721,plain,
spl874_211,
inference(rat,[],[s202,s82]) ).
cnf(s10730,plain,
spl874_86,
inference(rat,[],[s100,s82]) ).
cnf(s10731,plain,
spl874_93,
inference(rat,[],[s85,s82]) ).
cnf(s10738,plain,
spl874_221,
inference(rat,[],[s213,s92,s10721]) ).
cnf(s10749,plain,
~ spl874_115,
inference(rat,[],[s139,s10730]) ).
cnf(s10753,plain,
spl874_125,
inference(rat,[],[s119,s92,s10731]) ).
cnf(s10760,plain,
spl874_216,
inference(rat,[],[s207,s10730,s10665,s10749]) ).
cnf(s10764,plain,
spl874_150,
inference(rat,[],[s143,s10730,s10712,s10749]) ).
cnf(s10768,plain,
~ spl874_68,
inference(rat,[],[s75,s82]) ).
cnf(s10786,plain,
spl874_90,
inference(rat,[],[s80,s10768]) ).
cnf(s10805,plain,
spl874_100,
inference(rat,[],[s10710,s10786]) ).
cnf(s10806,plain,
spl874_92,
inference(rat,[],[s84,s82,s10786]) ).
cnf(s10812,plain,
spl874_103,
inference(rat,[],[s94,s82,s10805]) ).
cnf(s10816,plain,
spl874_101,
inference(rat,[],[s10709,s10806]) ).
cnf(s10822,plain,
spl874_69,
inference(rat,[],[s62,s10768]) ).
cnf(s10823,plain,
spl874_3249,
inference(rat,[],[s3731,s10674,s10822]) ).
cnf(s10828,plain,
spl874_874,
inference(rat,[],[s877,s46]) ).
cnf(s10883,plain,
spl874_262,
inference(rat,[],[s256,s46]) ).
cnf(s10887,plain,
spl874_254,
inference(rat,[],[s247,s46]) ).
cnf(s10889,plain,
spl874_228,
inference(rat,[],[s221,s46]) ).
cnf(s10902,plain,
spl874_73,
inference(rat,[],[s66,s46]) ).
cnf(s10903,plain,
spl874_72,
inference(rat,[],[s65,s46]) ).
cnf(s10950,plain,
spl874_3191,
inference(rat,[],[s3656,s10674,s10883]) ).
cnf(s11124,plain,
~ spl874_127,
inference(rat,[],[s1207,s10719,s10889,s10760,s10720,s10902,s10730,s10903]) ).
cnf(s11166,plain,
~ spl874_1318,
inference(rat,[],[s10140,s10823,s10720,s10718,s10950]) ).
cnf(s11575,plain,
spl874_136,
inference(rat,[],[s129,s10822,s10753,s11124]) ).
cnf(s11616,plain,
$false,
inference(rat,[],[s1726,s10903,s10828,s10883,s10887,s10719,s10889,s10738,s10760,s10720,s10764,s10902,s10812,s10816,s10730,s11166,s11575]) ).
fof(f229564,plain,
$false,
inference(avatar_sat_refutation,[],[s11616]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT318+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n010.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 14:34:19 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 13.11/3.37 % (1022961)Detected formulas, will run a generic FOF schedule.
% 13.11/3.37 % (1022969)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3657850216:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 13.11/3.37 % (1022969)Refutation not found, incomplete strategy
% 13.11/3.37 % (1022969)------------------------------
% 13.11/3.37 % (1022969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.11/3.37 % (1022969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.11/3.37 % (1022969)CaDiCaL version: 2.1.3
% 13.11/3.37 % (1022969)Termination reason: Refutation not found, incomplete strategy
% 13.11/3.37 % (1022969)Time elapsed: 0.042 s
% 13.11/3.37 % (1022969)Peak memory usage: 107 MB
% 13.11/3.37 % (1022969)Instructions burned: 85 (million)
% 13.11/3.37 % (1022971)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2382251874:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 13.11/3.37 % (1022968)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=2143524188:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 13.11/3.37 % (1022970)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=764426592:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 13.11/3.37 % (1022966)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=3613241712:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 13.11/3.37 % (1022967)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=579097100:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 13.11/3.37 % (1022972)dis-21_1_sil=8000:lcm=predicate:random_seed=1631941797:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 13.11/3.37 % (1022971)Instruction limit reached!
% 13.11/3.37 % (1022971)------------------------------
% 13.11/3.37 % (1022971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.11/3.37 % (1022971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.11/3.37 % (1022971)CaDiCaL version: 2.1.3
% 13.11/3.37 % (1022971)Termination reason: Instruction limit
% 13.11/3.37 % (1022971)Termination phase: Property scanning
% 13.11/3.37 % (1022971)Time elapsed: 0.059 s
% 13.11/3.37 % (1022971)Peak memory usage: 102 MB
% 13.11/3.37 % (1022971)Instructions burned: 140 (million)
% 13.11/3.37 % (1022970)Instruction limit reached!
% 13.11/3.37 % (1022970)------------------------------
% 13.11/3.37 % (1022970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.11/3.37 % (1022970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.11/3.37 % (1022970)CaDiCaL version: 2.1.3
% 13.11/3.37 % (1022970)Termination reason: Instruction limit
% 13.11/3.37 % (1022970)Termination phase: Function definition elimination
% 13.11/3.37 % (1022970)Time elapsed: 0.093 s
% 13.11/3.37 % (1022970)Peak memory usage: 105 MB
% 13.11/3.37 % (1022970)Instructions burned: 121 (million)
% 13.11/3.37 % (1022972)Instruction limit reached!
% 13.11/3.37 % (1022972)------------------------------
% 13.11/3.37 % (1022972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.11/3.37 % (1022972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.11/3.37 % (1022972)CaDiCaL version: 2.1.3
% 13.11/3.37 % (1022972)Termination reason: Instruction limit
% 13.11/3.37 % (1022972)Termination phase: Preprocessing 1
% 13.11/3.37 % (1022972)Time elapsed: 0.095 s
% 13.11/3.37 % (1022972)Peak memory usage: 103 MB
% 13.11/3.37 % (1022972)Instructions burned: 129 (million)
% 13.11/3.37 % (1022969)------------------------------
% 13.11/3.37 % (1022969)------------------------------
% 13.11/3.37 % (1022980)lrs+10_1_sil=8000:sp=occurrence:random_seed=2146804921:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 13.11/3.37 % (1022982)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3636696404:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 13.11/3.37 % (1022981)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2674185098:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 13.11/3.37 % (1022983)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=3549056016:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 18.68/4.06 % (1022981)Instruction limit reached!
% 18.68/4.06 % (1022981)------------------------------
% 18.68/4.06 % (1022981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.68/4.06 % (1022981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.68/4.06 % (1022981)CaDiCaL version: 2.1.3
% 18.68/4.06 % (1022981)Termination reason: Instruction limit
% 18.68/4.06 % (1022981)Termination phase: Property scanning
% 18.68/4.06 % (1022981)Time elapsed: 0.065 s
% 18.68/4.06 % (1022981)Peak memory usage: 102 MB
% 18.68/4.06 % (1022981)Instructions burned: 157 (million)
% 18.68/4.06 % (1022982)Refutation not found, incomplete strategy
% 18.68/4.06 % (1022982)------------------------------
% 18.68/4.06 % (1022982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.68/4.06 % (1022982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.68/4.06 % (1022982)CaDiCaL version: 2.1.3
% 18.68/4.06 % (1022982)Termination reason: Refutation not found, incomplete strategy
% 18.68/4.06 % (1022982)Time elapsed: 0.075 s
% 18.68/4.06 % (1022982)Peak memory usage: 107 MB
% 18.68/4.06 % (1022982)Instructions burned: 97 (million)
% 18.68/4.06 % (1022983)Instruction limit reached!
% 18.68/4.06 % (1022983)------------------------------
% 18.68/4.06 % (1022983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.68/4.06 % (1022983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.68/4.06 % (1022983)CaDiCaL version: 2.1.3
% 18.68/4.06 % (1022983)Termination reason: Instruction limit
% 18.68/4.06 % (1022983)Termination phase: SInE selection
% 18.68/4.06 % (1022983)Time elapsed: 0.069 s
% 18.68/4.06 % (1022983)Peak memory usage: 103 MB
% 18.68/4.06 % (1022983)Instructions burned: 250 (million)
% 18.68/4.06 % (1022980)Instruction limit reached!
% 18.68/4.06 % (1022980)------------------------------
% 18.68/4.06 % (1022980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.68/4.06 % (1022980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.68/4.06 % (1022980)CaDiCaL version: 2.1.3
% 18.68/4.06 % (1022980)Termination reason: Instruction limit
% 18.68/4.06 % (1022980)Termination phase: Saturation
% 18.68/4.06 % (1022980)Time elapsed: 0.234 s
% 18.68/4.06 % (1022980)Peak memory usage: 110 MB
% 18.68/4.06 % (1022980)Instructions burned: 286 (million)
% 18.68/4.06 % (1022989)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1671551141:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 18.68/4.06 % (1022988)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4222379951:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 18.68/4.06 % (1022982)------------------------------
% 18.68/4.06 % (1022982)------------------------------
% 18.68/4.06 % (1022992)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2372534116:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 18.68/4.06 % (1022988)Instruction limit reached!
% 18.68/4.06 % (1022988)------------------------------
% 18.68/4.06 % (1022988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.68/4.06 % (1022988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.68/4.06 % (1022988)CaDiCaL version: 2.1.3
% 18.68/4.06 % (1022988)Termination reason: Instruction limit
% 18.68/4.06 % (1022988)Termination phase: Saturation
% 18.68/4.06 % (1022988)Time elapsed: 0.187 s
% 18.68/4.06 % (1022988)Peak memory usage: 111 MB
% 18.68/4.06 % (1022988)Instructions burned: 294 (million)
% 18.68/4.06 % (1022992)Instruction limit reached!
% 18.68/4.06 % (1022992)------------------------------
% 18.68/4.06 % (1022992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.68/4.06 % (1022992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.68/4.06 % (1022992)CaDiCaL version: 2.1.3
% 18.68/4.06 % (1022992)Termination reason: Instruction limit
% 18.68/4.06 % (1022992)Termination phase: Preprocessing 3
% 18.68/4.06 % (1022992)Time elapsed: 0.100 s
% 18.68/4.06 % (1022992)Peak memory usage: 105 MB
% 18.68/4.06 % (1022992)Instructions burned: 114 (million)
% 18.68/4.06 % (1022993)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2633748741:i=127:av=off:fsr=off:sup=off_2985 on theBenchmark for (2985ds/127Mi)
% 18.68/4.06 % (1022995)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3261779835:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 51.66/8.77 % (1022993)Instruction limit reached!
% 51.66/8.77 % (1022993)------------------------------
% 51.66/8.77 % (1022993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.66/8.77 % (1022993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.66/8.77 % (1022993)CaDiCaL version: 2.1.3
% 51.66/8.77 % (1022993)Termination reason: Instruction limit
% 51.66/8.77 % (1022993)Termination phase: Preprocessing 2
% 51.66/8.77 % (1022993)Time elapsed: 0.105 s
% 51.66/8.77 % (1022993)Peak memory usage: 106 MB
% 51.66/8.77 % (1022993)Instructions burned: 128 (million)
% 51.66/8.77 % (1022995)Instruction limit reached!
% 51.66/8.77 % (1022995)------------------------------
% 51.66/8.77 % (1022995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.66/8.77 % (1022995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.66/8.77 % (1022995)CaDiCaL version: 2.1.3
% 51.66/8.77 % (1022995)Termination reason: Instruction limit
% 51.66/8.77 % (1022995)Termination phase: Property scanning
% 51.66/8.77 % (1022995)Time elapsed: 0.050 s
% 51.66/8.77 % (1022995)Peak memory usage: 102 MB
% 51.66/8.77 % (1022995)Instructions burned: 115 (million)
% 51.66/8.77 % (1022996)lrs+10_1_sil=8000:sp=occurrence:random_seed=3245626070:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 51.66/8.77 % (1022999)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1325985692:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 51.66/8.77 % (1023000)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2690561667:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 51.66/8.77 % (1022989)Instruction limit reached!
% 51.66/8.77 % (1022989)------------------------------
% 51.66/8.77 % (1022989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.66/8.77 % (1022989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.66/8.77 % (1022989)CaDiCaL version: 2.1.3
% 51.66/8.77 % (1022989)Termination reason: Instruction limit
% 51.66/8.77 % (1022989)Termination phase: Saturation
% 51.66/8.77 % (1022989)Time elapsed: 0.817 s
% 51.66/8.77 % (1022989)Peak memory usage: 240 MB
% 51.66/8.77 % (1022989)Instructions burned: 2358 (million)
% 51.66/8.77 % (1022999)Instruction limit reached!
% 51.66/8.77 % (1022999)------------------------------
% 51.66/8.77 % (1022999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.66/8.77 % (1022999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.66/8.77 % (1022999)CaDiCaL version: 2.1.3
% 51.66/8.77 % (1022999)Termination reason: Instruction limit
% 51.66/8.77 % (1022999)Termination phase: Saturation
% 51.66/8.77 % (1022999)Time elapsed: 0.266 s
% 51.66/8.77 % (1022999)Peak memory usage: 109 MB
% 51.66/8.77 % (1022999)Instructions burned: 438 (million)
% 51.66/8.77 % (1023005)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2558274504:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 51.66/8.77 % (1023004)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=552278883:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 51.66/8.77 % (1022996)Instruction limit reached!
% 51.66/8.77 % (1022996)------------------------------
% 51.66/8.77 % (1022996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.66/8.77 % (1022996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.66/8.77 % (1022996)CaDiCaL version: 2.1.3
% 51.66/8.77 % (1022996)Termination reason: Instruction limit
% 51.66/8.77 % (1022996)Termination phase: Saturation
% 51.66/8.77 % (1022996)Time elapsed: 0.592 s
% 51.66/8.77 % (1022996)Peak memory usage: 121 MB
% 51.66/8.77 % (1022996)Instructions burned: 907 (million)
% 51.66/8.77 % (1023004)Instruction limit reached!
% 51.66/8.77 % (1023004)------------------------------
% 51.66/8.77 % (1023004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.66/8.77 % (1023004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.66/8.77 % (1023004)CaDiCaL version: 2.1.3
% 51.66/8.77 % (1023004)Termination reason: Instruction limit
% 51.66/8.77 % (1023004)Termination phase: Property scanning
% 51.66/8.77 % (1023004)Time elapsed: 0.100 s
% 51.66/8.77 % (1023004)Peak memory usage: 106 MB
% 51.66/8.77 % (1023004)Instructions burned: 137 (million)
% 51.66/8.77 % (1023005)Instruction limit reached!
% 51.66/8.77 % (1023005)------------------------------
% 51.66/8.77 % (1023005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.12/11.66 % (1023005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.12/11.66 % (1023005)CaDiCaL version: 2.1.3
% 72.12/11.66 % (1023005)Termination reason: Instruction limit
% 72.12/11.66 % (1023005)Termination phase: Property scanning
% 72.12/11.66 % (1023005)Time elapsed: 0.232 s
% 72.12/11.66 % (1023005)Peak memory usage: 123 MB
% 72.12/11.66 % (1023005)Instructions burned: 595 (million)
% 72.12/11.66 % (1023008)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2900328303:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 72.12/11.66 % (1023009)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=1987550498:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/125Mi)
% 72.12/11.66 % (1023009)Instruction limit reached!
% 72.12/11.66 % (1023009)------------------------------
% 72.12/11.66 % (1023009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.12/11.66 % (1023009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.12/11.66 % (1023009)CaDiCaL version: 2.1.3
% 72.12/11.66 % (1023009)Termination reason: Instruction limit
% 72.12/11.66 % (1023009)Termination phase: Property scanning
% 72.12/11.66 % (1023009)Time elapsed: 0.055 s
% 72.12/11.66 % (1023009)Peak memory usage: 102 MB
% 72.12/11.66 % (1023009)Instructions burned: 126 (million)
% 72.12/11.66 % (1023010)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2171371047:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 72.12/11.66 % (1023010)Instruction limit reached!
% 72.12/11.66 % (1023010)------------------------------
% 72.12/11.66 % (1023010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.12/11.66 % (1023010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.12/11.66 % (1023010)CaDiCaL version: 2.1.3
% 72.12/11.66 % (1023010)Termination reason: Instruction limit
% 72.12/11.66 % (1023010)Termination phase: Property scanning
% 72.12/11.66 % (1023010)Time elapsed: 0.032 s
% 72.12/11.66 % (1023010)Peak memory usage: 102 MB
% 72.12/11.66 % (1023010)Instructions burned: 136 (million)
% 72.12/11.66 % (1023015)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=834399498:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2973 on theBenchmark for (2973ds/431Mi)
% 72.12/11.66 % (1023013)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1351448603:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/141Mi)
% 72.12/11.66 % (1023015)Refutation not found, incomplete strategy
% 72.12/11.66 % (1023015)------------------------------
% 72.12/11.66 % (1023015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.12/11.66 % (1023015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.12/11.66 % (1023015)CaDiCaL version: 2.1.3
% 72.12/11.66 % (1023015)Termination reason: Refutation not found, incomplete strategy
% 72.12/11.66 % (1023015)Time elapsed: 0.042 s
% 72.12/11.66 % (1023015)Peak memory usage: 107 MB
% 72.12/11.66 % (1023015)Instructions burned: 88 (million)
% 72.12/11.66 % (1023013)Instruction limit reached!
% 72.12/11.66 % (1023013)------------------------------
% 72.12/11.66 % (1023013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.12/11.66 % (1023013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.12/11.66 % (1023013)CaDiCaL version: 2.1.3
% 72.12/11.66 % (1023013)Termination reason: Instruction limit
% 72.12/11.66 % (1023013)Termination phase: Saturation
% 72.12/11.66 % (1023013)Time elapsed: 0.103 s
% 72.12/11.66 % (1023013)Peak memory usage: 107 MB
% 72.12/11.66 % (1023013)Instructions burned: 142 (million)
% 72.12/11.66 % (1023015)------------------------------
% 72.12/11.66 % (1023015)------------------------------
% 72.12/11.66 % (1023018)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=656322871:i=6060:aac=none:ins=25_2971 on theBenchmark for (2971ds/6060Mi)
% 72.12/11.66 % (1023019)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=2219080347:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 72.12/11.66 % (1023019)Instruction limit reached!
% 72.12/11.66 % (1023019)------------------------------
% 72.12/11.66 % (1023019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 114.40/17.61 % (1023019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.40/17.61 % (1023019)CaDiCaL version: 2.1.3
% 114.40/17.61 % (1023019)Termination reason: Instruction limit
% 114.40/17.61 % (1023019)Termination phase: Preprocessing 1
% 114.40/17.61 % (1023019)Time elapsed: 0.065 s
% 114.40/17.61 % (1023019)Peak memory usage: 103 MB
% 114.40/17.61 % (1023019)Instructions burned: 152 (million)
% 114.40/17.61 % (1023022)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1913871292:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 114.40/17.61 % (1023000)Instruction limit reached!
% 114.40/17.61 % (1023000)------------------------------
% 114.40/17.61 % (1023000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 114.40/17.61 % (1023000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.40/17.61 % (1023000)CaDiCaL version: 2.1.3
% 114.40/17.61 % (1023000)Termination reason: Instruction limit
% 114.40/17.61 % (1023000)Termination phase: Saturation
% 114.40/17.61 % (1023000)Time elapsed: 3.835 s
% 114.40/17.61 % (1023000)Peak memory usage: 426 MB
% 114.40/17.61 % (1023000)Instructions burned: 5203 (million)
% 114.40/17.61 % (1023024)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=907641517:i=667:av=off:fsr=off_2942 on theBenchmark for (2942ds/667Mi)
% 114.40/17.61 % (1023024)Instruction limit reached!
% 114.40/17.61 % (1023024)------------------------------
% 114.40/17.61 % (1023024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 114.40/17.61 % (1023024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.40/17.61 % (1023024)CaDiCaL version: 2.1.3
% 114.40/17.61 % (1023024)Termination reason: Instruction limit
% 114.40/17.61 % (1023024)Termination phase: NewCNF
% 114.40/17.61 % (1023024)Time elapsed: 0.496 s
% 114.40/17.61 % (1023024)Peak memory usage: 135 MB
% 114.40/17.61 % (1023024)Instructions burned: 669 (million)
% 114.40/17.61 % (1023026)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=1608754572:s2a=on:i=185:s2at=1.8:fdi=4_2935 on theBenchmark for (2935ds/185Mi)
% 114.40/17.61 % (1023026)Instruction limit reached!
% 114.40/17.61 % (1023026)------------------------------
% 114.40/17.61 % (1023026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 114.40/17.61 % (1023026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.40/17.61 % (1023026)CaDiCaL version: 2.1.3
% 114.40/17.61 % (1023026)Termination reason: Instruction limit
% 114.40/17.61 % (1023026)Termination phase: Preprocessing 1
% 114.40/17.61 % (1023026)Time elapsed: 0.147 s
% 114.40/17.61 % (1023026)Peak memory usage: 104 MB
% 114.40/17.61 % (1023026)Instructions burned: 187 (million)
% 114.40/17.61 % (1023028)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1387610451:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2932 on theBenchmark for (2932ds/193Mi)
% 114.40/17.61 % (1023028)Instruction limit reached!
% 114.40/17.61 % (1023028)------------------------------
% 114.40/17.61 % (1023028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 114.40/17.61 % (1023028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.40/17.61 % (1023028)CaDiCaL version: 2.1.3
% 114.40/17.61 % (1023028)Termination reason: Instruction limit
% 114.40/17.61 % (1023028)Termination phase: Inequality splitting
% 114.40/17.61 % (1023028)Time elapsed: 0.150 s
% 114.40/17.61 % (1023028)Peak memory usage: 105 MB
% 114.40/17.61 % (1023028)Instructions burned: 194 (million)
% 114.40/17.61 % (1023030)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3092353244:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2928 on theBenchmark for (2928ds/4850Mi)
% 114.40/17.61 % (1023018)Instruction limit reached!
% 114.40/17.61 % (1023018)------------------------------
% 114.40/17.61 % (1023018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 114.40/17.61 % (1023018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.40/17.61 % (1023018)CaDiCaL version: 2.1.3
% 114.40/17.61 % (1023018)Termination reason: Instruction limit
% 114.40/17.61 % (1023018)Termination phase: Saturation
% 114.40/17.61 % (1023018)Time elapsed: 4.602 s
% 114.40/17.61 % (1023018)Peak memory usage: 511 MB
% 114.40/17.61 % (1023018)Instructions burned: 6060 (million)
% 114.40/17.61 % (1023032)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1155756519:i=12111:sd=1:ss=included_2922 on theBenchmark for (2922ds/12111Mi)
% 81.74/19.46 % (1023022)Instruction limit reached!
% 81.74/19.46 % (1023022)------------------------------
% 81.74/19.46 % (1023022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.74/19.46 % (1023022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.74/19.46 % (1023022)CaDiCaL version: 2.1.3
% 81.74/19.46 % (1023022)Termination reason: Instruction limit
% 81.74/19.46 % (1023022)Termination phase: Saturation
% 81.74/19.46 % (1023022)Time elapsed: 5.0000 s
% 81.74/19.46 % (1023022)Peak memory usage: 410 MB
% 81.74/19.46 % (1023022)Instructions burned: 14156 (million)
% 81.74/19.46 % (1023034)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1887126362:i=319:kws=precedence:fsr=off_2916 on theBenchmark for (2916ds/319Mi)
% 81.74/19.46 % (1023034)Instruction limit reached!
% 81.74/19.46 % (1023034)------------------------------
% 81.74/19.46 % (1023034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.74/19.46 % (1023034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.74/19.46 % (1023034)CaDiCaL version: 2.1.3
% 81.74/19.46 % (1023034)Termination reason: Instruction limit
% 81.74/19.46 % (1023034)Termination phase: Preprocessing 3
% 81.74/19.46 % (1023034)Time elapsed: 0.135 s
% 81.74/19.46 % (1023034)Peak memory usage: 122 MB
% 81.74/19.46 % (1023034)Instructions burned: 322 (million)
% 81.74/19.46 % (1023036)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3231270249:i=2064:ep=RST_2913 on theBenchmark for (2913ds/2064Mi)
% 81.74/19.46 % (1023036)Instruction limit reached!
% 81.74/19.46 % (1023036)------------------------------
% 81.74/19.46 % (1023036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.74/19.46 % (1023036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.74/19.46 % (1023036)CaDiCaL version: 2.1.3
% 81.74/19.46 % (1023036)Termination reason: Instruction limit
% 81.74/19.46 % (1023036)Termination phase: Saturation
% 81.74/19.46 % (1023036)Time elapsed: 0.556 s
% 81.74/19.46 % (1023036)Peak memory usage: 147 MB
% 81.74/19.46 % (1023036)Instructions burned: 2065 (million)
% 81.74/19.46 % (1023038)dis-1011_128_sil=32000:random_seed=4171383188:i=3706:ep=RST:av=off_2907 on theBenchmark for (2907ds/3706Mi)
% 81.74/19.46 % (1023030)Instruction limit reached!
% 81.74/19.46 % (1023030)------------------------------
% 81.74/19.46 % (1023030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.74/19.46 % (1023030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.74/19.46 % (1023030)CaDiCaL version: 2.1.3
% 81.74/19.46 % (1023030)Termination reason: Instruction limit
% 81.74/19.46 % (1023030)Termination phase: Saturation
% 81.74/19.46 % (1023030)Time elapsed: 2.654 s
% 81.74/19.46 % (1023030)Peak memory usage: 176 MB
% 81.74/19.46 % (1023030)Instructions burned: 4852 (million)
% 81.74/19.46 % (1023040)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3224006705:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2900 on theBenchmark for (2900ds/757Mi)
% 81.74/19.46 % (1023038)Instruction limit reached!
% 81.74/19.46 % (1023038)------------------------------
% 81.74/19.46 % (1023038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.74/19.46 % (1023038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.74/19.46 % (1023038)CaDiCaL version: 2.1.3
% 81.74/19.46 % (1023038)Termination reason: Instruction limit
% 81.74/19.46 % (1023038)Termination phase: Saturation
% 81.74/19.46 % (1023038)Time elapsed: 1.103 s
% 81.74/19.46 % (1023038)Peak memory usage: 165 MB
% 81.74/19.46 % (1023038)Instructions burned: 3709 (million)
% 81.74/19.46 % (1023042)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3658595680:i=13913:ss=axioms:sgt=8_2894 on theBenchmark for (2894ds/13913Mi)
% 81.74/19.46 % (1023040)Instruction limit reached!
% 81.74/19.46 % (1023040)------------------------------
% 81.74/19.46 % (1023040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.74/19.46 % (1023040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.74/19.46 % (1023040)CaDiCaL version: 2.1.3
% 81.74/19.46 % (1023040)Termination reason: Instruction limit
% 81.74/19.46 % (1023040)Termination phase: Saturation
% 81.74/19.46 % (1023040)Time elapsed: 0.549 s
% 81.74/19.46 % (1023040)Peak memory usage: 113 MB
% 81.74/19.46 % (1023040)Instructions burned: 758 (million)
% 81.74/19.46 % (1023008)Instruction limit reached!
% 81.74/19.46 % (1023008)------------------------------
% 81.74/19.46 % (1023008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.74/19.46 % (1023008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.74/19.46 % (1023008)CaDiCaL version: 2.1.3
% 81.74/19.46 % (1023008)Termination reason: Instruction limit
% 81.74/19.46 % (1023008)Termination phase: Saturation
% 81.74/19.46 % (1023008)Time elapsed: 8.257 s
% 81.74/19.46 % (1023008)Peak memory usage: 264 MB
% 81.74/19.46 % (1023008)Instructions burned: 13194 (million)
% 81.74/19.46 % (1023044)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2289187449:i=9925:aac=none_2893 on theBenchmark for (2893ds/9925Mi)
% 81.74/19.46 % (1023045)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=400418170:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2891 on theBenchmark for (2891ds/2479Mi)
% 81.74/19.46 % (1023045)Instruction limit reached!
% 81.74/19.46 % (1023045)------------------------------
% 81.74/19.46 % (1023045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.74/19.46 % (1023045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.74/19.46 % (1023045)CaDiCaL version: 2.1.3
% 81.74/19.46 % (1023045)Termination reason: Instruction limit
% 81.74/19.46 % (1023045)Termination phase: Saturation
% 81.74/19.46 % (1023045)Time elapsed: 1.675 s
% 81.74/19.46 % (1023045)Peak memory usage: 124 MB
% 81.74/19.46 % (1023045)Instructions burned: 2480 (million)
% 81.74/19.46 % (1023048)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2613699009:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2873 on theBenchmark for (2873ds/440Mi)
% 81.74/19.46 % (1023048)Instruction limit reached!
% 81.74/19.46 % (1023048)------------------------------
% 81.74/19.46 % (1023048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.74/19.46 % (1023048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.74/19.46 % (1023048)CaDiCaL version: 2.1.3
% 81.74/19.46 % (1023048)Termination reason: Instruction limit
% 81.74/19.46 % (1023048)Termination phase: Preprocessing 1
% 81.74/19.46 % (1023048)Time elapsed: 0.198 s
% 81.74/19.46 % (1023048)Peak memory usage: 103 MB
% 81.74/19.46 % (1023048)Instructions burned: 440 (million)
% 81.74/19.46 % (1023050)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=641856689:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2869 on theBenchmark for (2869ds/11145Mi)
% 81.74/19.46 % (1023042)Instruction limit reached!
% 81.74/19.46 % (1023042)------------------------------
% 81.74/19.46 % (1023042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.74/19.46 % (1023042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.74/19.46 % (1023042)CaDiCaL version: 2.1.3
% 81.74/19.46 % (1023042)Termination reason: Instruction limit
% 81.74/19.46 % (1023042)Termination phase: Saturation
% 81.74/19.46 % (1023042)Time elapsed: 4.731 s
% 81.74/19.46 % (1023042)Peak memory usage: 240 MB
% 81.74/19.46 % (1023042)Instructions burned: 13915 (million)
% 81.74/19.46 % (1023052)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=2734674243:cts=off:i=3034:av=off:er=known:fsd=on_2845 on theBenchmark for (2845ds/3034Mi)
% 81.74/19.46 % (1023032)Instruction limit reached!
% 81.74/19.46 % (1023032)------------------------------
% 81.74/19.46 % (1023032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.74/19.46 % (1023032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.74/19.46 % (1023032)CaDiCaL version: 2.1.3
% 81.74/19.46 % (1023032)Termination reason: Instruction limit
% 81.74/19.46 % (1023032)Termination phase: Saturation
% 81.74/19.46 % (1023032)Time elapsed: 8.265 s
% 81.74/19.46 % (1023032)Peak memory usage: 263 MB
% 81.74/19.46 % (1023032)Instructions burned: 12112 (million)
% 81.74/19.46 % (1023054)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1429620457:st=2:s2a=on:i=524:s2at=2:ss=axioms_2838 on theBenchmark for (2838ds/524Mi)
% 81.74/19.46 % (1023054)Instruction limit reached!
% 81.74/19.46 % (1023054)------------------------------
% 81.74/19.46 % (1023054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.74/19.46 % (1023054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.74/19.46 % (1023054)CaDiCaL version: 2.1.3
% 81.74/19.46 % (1023054)Termination reason: Instruction limit
% 81.74/19.46 % (1023054)Termination phase: Preprocessing 3
% 81.74/19.46 % (1023054)Time elapsed: 0.389 s
% 81.74/19.46 % (1023054)Peak memory usage: 118 MB
% 81.74/19.46 % (1023054)Instructions burned: 524 (million)
% 81.74/19.46 % (1023052)Instruction limit reached!
% 81.74/19.46 % (1023052)------------------------------
% 81.74/19.46 % (1023052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.74/19.46 % (1023052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.74/19.46 % (1023052)CaDiCaL version: 2.1.3
% 81.74/19.46 % (1023052)Termination reason: Instruction limit
% 81.74/19.46 % (1023052)Termination phase: Saturation
% 81.74/19.46 % (1023052)Time elapsed: 1.216 s
% 81.74/19.46 % (1023052)Peak memory usage: 403 MB
% 81.74/19.46 % (1023052)Instructions burned: 3039 (million)
% 81.74/19.46 % (1023057)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=4171810291:i=14123:bd=preordered:ins=4_2832 on theBenchmark for (2832ds/14123Mi)
% 81.74/19.46 % (1023056)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=4107016889:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2832 on theBenchmark for (2832ds/1016Mi)
% 81.74/19.46 % (1023056)Refutation not found, incomplete strategy
% 81.74/19.46 % (1023056)------------------------------
% 81.74/19.46 % (1023056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.74/19.46 % (1023056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.74/19.46 % (1023056)CaDiCaL version: 2.1.3
% 81.74/19.46 % (1023056)Termination reason: Refutation not found, incomplete strategy
% 81.74/19.46 % (1023056)Time elapsed: 0.084 s
% 81.74/19.46 % (1023056)Peak memory usage: 108 MB
% 81.74/19.46 % (1023056)Instructions burned: 105 (million)
% 81.74/19.46 % (1023044)Instruction limit reached!
% 81.74/19.46 % (1023044)------------------------------
% 81.74/19.46 % (1023044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.74/19.46 % (1023044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.74/19.46 % (1023044)CaDiCaL version: 2.1.3
% 81.74/19.46 % (1023044)Termination reason: Instruction limit
% 81.74/19.46 % (1023044)Termination phase: Saturation
% 81.74/19.46 % (1023044)Time elapsed: 6.359 s
% 81.74/19.46 % (1023044)Peak memory usage: 488 MB
% 81.74/19.46 % (1023044)Instructions burned: 9926 (million)
% 81.74/19.46 % (1023056)------------------------------
% 81.74/19.46 % (1023056)------------------------------
% 81.74/19.46 % (1023060)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2898573044:i=5781:kws=precedence:bd=all:rawr=on_2827 on theBenchmark for (2827ds/5781Mi)
% 81.74/19.46 % (1023061)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=3449554955:i=2448:gtgl=5:bd=preordered:gtg=all_2827 on theBenchmark for (2827ds/2448Mi)
% 81.74/19.46 % (1022967)First to succeed.
% 81.74/19.46 % (1022967)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1022961"
% 81.74/19.46 % (1022967)Refutation found. Thanks to Tanya!
% 81.74/19.46 % SZS status Theorem for theBenchmark
% 81.74/19.46 % SZS output start Proof for theBenchmark
% See solution above
% 127.99/19.55 % (1022967)------------------------------
% 127.99/19.55 % (1022967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 127.99/19.55 % (1022967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 127.99/19.55 % (1022967)CaDiCaL version: 2.1.3
% 127.99/19.55 % (1022967)Termination reason: Refutation
% 127.99/19.55 % (1022967)Time elapsed: 17.366 s
% 127.99/19.55 % (1022967)Peak memory usage: 393 MB
% 127.99/19.55 % (1022967)Instructions burned: 26748 (million)
% 127.99/19.55 % (1022967)------------------------------
% 127.99/19.55 % (1022967)------------------------------
% 127.99/19.55 % (1022961)Success in time 18.575 s
% 127.99/19.55 % Vampire exiting
%------------------------------------------------------------------------------