%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT315+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 11:46:51 AM UTC 2026
% Result : Theorem 128.80s 34.13s
% Output : Refutation 223.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 154
% Syntax : Number of formulae : 989 ( 139 unt; 127 def)
% Number of atoms : 4895 ( 150 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 6825 (2919 ~;3640 |; 111 &)
% ( 126 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 128 ( 126 usr; 118 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 14 con; 0-3 aty)
% Number of variables : 637 ( 0 sgn 623 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f24,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f30,axiom,
! [X0,X1,X2] :
( X2 = k2_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f54,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X1,X2) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f76,axiom,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f77,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X2,X1) )
=> r1_tarski(k2_xboole_0(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(f441,axiom,
! [X0] :
( r1_tarski(X0,k2_zfmisc_1(X0,X0))
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t116_zfmisc_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/sandbox/benchmark/theBenchmark.p',dt_k4_subset_1) ).
fof(f568,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k4_subset_1(X0,X1,X2) = k4_subset_1(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k4_subset_1) ).
fof(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/sandbox/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
fof(f677,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_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/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f34609,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)
=> r1_filter_2(X0,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_r1_filter_2) ).
fof(f34642,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m2_filter_2(k19_filter_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k19_filter_2) ).
fof(f34686,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m2_filter_2(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_filter_2) ).
fof(f34698,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/sandbox/benchmark/theBenchmark.p',d11_filter_2) ).
fof(f34701,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
=> r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_filter_2) ).
fof(f34702,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(X0))) )
=> ( ( r1_tarski(X2,X3)
=> r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3)) )
& r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_filter_2) ).
fof(f34716,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),k19_filter_2(X0,X1),X2)))
& r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,k19_filter_2(X0,X2)))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_filter_2) ).
fof(f34717,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),k19_filter_2(X0,X1),X2)))
& r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,X2)),k19_filter_2(X0,k4_subset_1(u1_struct_0(X0),X1,k19_filter_2(X0,X2)))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f34716]) ).
fof(f34733,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,[],[f34717]) ).
fof(f34734,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,[],[f34733]) ).
fof(f34741,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f34743,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(f34753,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(f34754,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,[],[f34753]) ).
fof(f34757,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k4_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f568]) ).
fof(f34758,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k4_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f34757]) ).
fof(f34759,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(f34760,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,[],[f34759]) ).
fof(f34768,plain,
! [X0,X1,X2] :
( r1_filter_2(X0,X2,X1)
| ~ 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(ennf_transformation,[],[f34609]) ).
fof(f34769,plain,
! [X0,X1,X2] :
( r1_filter_2(X0,X2,X1)
| ~ 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(flattening,[],[f34768]) ).
fof(f34770,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
| ~ r1_tarski(X2,X3) )
& r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1)) )
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34702]) ).
fof(f34771,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
| ~ r1_tarski(X2,X3) )
& r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1)) )
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34770]) ).
fof(f34772,plain,
! [X0] :
( ! [X1] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1)
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34701]) ).
fof(f34773,plain,
! [X0] :
( ! [X1] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1)
| ~ m2_filter_2(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34772]) ).
fof(f34774,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,[],[f34698]) ).
fof(f34775,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,[],[f34774]) ).
fof(f34776,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,[],[f34642]) ).
fof(f34777,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,[],[f34776]) ).
fof(f34828,plain,
! [X0,X1,X2] :
( r1_tarski(k2_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f34829,plain,
! [X0,X1,X2] :
( r1_tarski(k2_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1) ),
inference(flattening,[],[f34828]) ).
fof(f34858,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f34859,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(flattening,[],[f34858]) ).
fof(f34860,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f34861,plain,
! [X0] :
( m2_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f34686]) ).
fof(f34862,plain,
! [X0] :
( m2_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34861]) ).
fof(f35116,plain,
! [X0] :
( X0 = k1_xboole_0
| ~ r1_tarski(X0,k2_zfmisc_1(X0,X0)) ),
inference(ennf_transformation,[],[f441]) ).
fof(f35171,plain,
( ( ~ r1_filter_2(u1_struct_0(sK4),k19_filter_2(sK4,k4_subset_1(u1_struct_0(sK4),sK5,sK6)),k19_filter_2(sK4,k4_subset_1(u1_struct_0(sK4),k19_filter_2(sK4,sK5),sK6)))
| ~ r1_filter_2(u1_struct_0(sK4),k19_filter_2(sK4,k4_subset_1(u1_struct_0(sK4),sK5,sK6)),k19_filter_2(sK4,k4_subset_1(u1_struct_0(sK4),sK5,k19_filter_2(sK4,sK6)))) )
& ~ v1_xboole_0(sK6)
& m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
& ~ v1_xboole_0(sK5)
& m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
& ~ v3_struct_0(sK4)
& v10_lattices(sK4)
& l3_lattices(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6)],[f34734]) ).
fof(f35199,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,[],[f34775]) ).
fof(f35200,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,[],[f35199]) ).
fof(f35201,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,[],[f35200]) ).
fof(f35202,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k19_filter_2(X0,X1)
| ~ r1_tarski(X1,X2)
| ( ~ r1_tarski(X2,sK20(X0,X1,X2))
& r1_tarski(X1,sK20(X0,X1,X2))
& m2_filter_2(sK20(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,[sK20]),skolemize(X3,sK20(X0,X1,X2))],[f35201]) ).
fof(f35216,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f35217,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f35216]) ).
fof(f35218,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) ) )
& ( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f35217]) ).
fof(f35219,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ( ( ( ~ r2_hidden(sK27(X0,X1,X2),X0)
& ~ r2_hidden(sK27(X0,X1,X2),X1) )
| ~ r2_hidden(sK27(X0,X1,X2),X2) )
& ( r2_hidden(sK27(X0,X1,X2),X0)
| r2_hidden(sK27(X0,X1,X2),X1)
| r2_hidden(sK27(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) ) )
& ( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X3,sK27(X0,X1,X2))],[f35218]) ).
fof(f35220,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f677]) ).
fof(f35226,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f35227,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f35226]) ).
fof(f35228,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f34860]) ).
fof(f35229,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f35228]) ).
fof(f35230,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK31(X0,X1),X1)
& r2_hidden(sK31(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X2,sK31(X0,X1))],[f35229]) ).
fof(f35344,plain,
l3_lattices(sK4),
inference(cnf_transformation,[],[f35171]) ).
fof(f35345,plain,
v10_lattices(sK4),
inference(cnf_transformation,[],[f35171]) ).
fof(f35346,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f35171]) ).
fof(f35347,plain,
m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4))),
inference(cnf_transformation,[],[f35171]) ).
fof(f35348,plain,
~ v1_xboole_0(sK5),
inference(cnf_transformation,[],[f35171]) ).
fof(f35349,plain,
m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))),
inference(cnf_transformation,[],[f35171]) ).
fof(f35350,plain,
~ v1_xboole_0(sK6),
inference(cnf_transformation,[],[f35171]) ).
fof(f35351,plain,
( ~ r1_filter_2(u1_struct_0(sK4),k19_filter_2(sK4,k4_subset_1(u1_struct_0(sK4),sK5,sK6)),k19_filter_2(sK4,k4_subset_1(u1_struct_0(sK4),k19_filter_2(sK4,sK5),sK6)))
| ~ r1_filter_2(u1_struct_0(sK4),k19_filter_2(sK4,k4_subset_1(u1_struct_0(sK4),sK5,sK6)),k19_filter_2(sK4,k4_subset_1(u1_struct_0(sK4),sK5,k19_filter_2(sK4,sK6)))) ),
inference(cnf_transformation,[],[f35171]) ).
fof(f35360,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f34741]) ).
fof(f35370,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f34743]) ).
fof(f35385,plain,
! [X2,X0,X1] :
( k2_xboole_0(X1,X2) = k4_subset_1(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f34754]) ).
fof(f35387,plain,
! [X2,X0,X1] :
( k4_subset_1(X0,X1,X2) = k4_subset_1(X0,X2,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f34758]) ).
fof(f35388,plain,
! [X2,X0,X1] :
( m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f34760]) ).
fof(f35402,plain,
! [X2,X0,X1] :
( ~ r1_filter_2(X0,X1,X2)
| r1_filter_2(X0,X2,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f34769]) ).
fof(f35403,plain,
! [X2,X3,X0,X1] :
( r1_tarski(k19_filter_2(X0,k19_filter_2(X0,X1)),k19_filter_2(X0,X1))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34771]) ).
fof(f35404,plain,
! [X2,X3,X0,X1] :
( r1_tarski(k19_filter_2(X0,X2),k19_filter_2(X0,X3))
| ~ r1_tarski(X2,X3)
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34771]) ).
fof(f35405,plain,
! [X0,X1] :
( r1_filter_2(u1_struct_0(X0),k19_filter_2(X0,X1),X1)
| ~ m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34773]) ).
fof(f35406,plain,
! [X2,X0,X1,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(cnf_transformation,[],[f35202]) ).
fof(f35407,plain,
! [X2,X0,X1] :
( 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,[],[f35202]) ).
fof(f35409,plain,
! [X2,X0,X1] :
( r1_tarski(X1,sK20(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,[],[f35202]) ).
fof(f35410,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X2,sK20(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,[],[f35202]) ).
fof(f35411,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v1_xboole_0(X1)
| m2_filter_2(k19_filter_2(X0,X1),X0) ),
inference(cnf_transformation,[],[f34777]) ).
fof(f35484,plain,
! [X2,X0,X1] :
( r1_tarski(k2_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1) ),
inference(cnf_transformation,[],[f34829]) ).
fof(f35485,plain,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f76]) ).
fof(f35491,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f35493,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X1)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f35219]) ).
fof(f35494,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f35219]) ).
fof(f35517,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f35220]) ).
fof(f35518,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f35220]) ).
fof(f35529,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,X2)
| ~ r1_tarski(X0,X1)
| r1_tarski(X0,X2) ),
inference(cnf_transformation,[],[f34859]) ).
fof(f35532,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f35227]) ).
fof(f35534,plain,
! [X3,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f35230]) ).
fof(f35535,plain,
! [X0,X1] :
( r2_hidden(sK31(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f35230]) ).
fof(f35536,plain,
! [X0,X1] :
( ~ r2_hidden(sK31(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f35230]) ).
fof(f35537,plain,
! [X0] :
( m2_filter_2(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34862]) ).
fof(f35941,plain,
! [X0] :
( ~ r1_tarski(X0,k2_zfmisc_1(X0,X0))
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f35116]) ).
fof(f35953,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f24]) ).
fof(f35997,plain,
! [X0,X1] :
( ~ m2_filter_2(k19_filter_2(X0,X1),X0)
| r1_tarski(X1,k19_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(equality_resolution,[],[f35407]) ).
fof(f35998,plain,
! [X0,X1,X4] :
( r1_tarski(k19_filter_2(X0,X1),X4)
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0)
| ~ m2_filter_2(k19_filter_2(X0,X1),X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(equality_resolution,[],[f35406]) ).
fof(f36005,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k2_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f35494]) ).
fof(f36006,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k2_xboole_0(X0,X1))
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f35493]) ).
fof(f36047,definition,
sF122 = u1_struct_0(sK4),
introduced(definition,[new_symbols(definition,[sF122])],[function_definition]) ).
fof(f36048,plain,
u1_struct_0(sK4) = sF122,
inference(reorient_equations,[],[f36047]) ).
fof(f36049,definition,
sF123 = k4_subset_1(sF122,sK5,sK6),
introduced(definition,[new_symbols(definition,[sF123])],[function_definition]) ).
fof(f36050,plain,
k4_subset_1(sF122,sK5,sK6) = sF123,
inference(reorient_equations,[],[f36049]) ).
fof(f36051,definition,
sF124 = k19_filter_2(sK4,sF123),
introduced(definition,[new_symbols(definition,[sF124])],[function_definition]) ).
fof(f36052,plain,
k19_filter_2(sK4,sF123) = sF124,
inference(reorient_equations,[],[f36051]) ).
fof(f36053,definition,
sF125 = k19_filter_2(sK4,sK5),
introduced(definition,[new_symbols(definition,[sF125])],[function_definition]) ).
fof(f36054,plain,
k19_filter_2(sK4,sK5) = sF125,
inference(reorient_equations,[],[f36053]) ).
fof(f36055,definition,
sF126 = k4_subset_1(sF122,sF125,sK6),
introduced(definition,[new_symbols(definition,[sF126])],[function_definition]) ).
fof(f36056,plain,
k4_subset_1(sF122,sF125,sK6) = sF126,
inference(reorient_equations,[],[f36055]) ).
fof(f36057,definition,
sF127 = k19_filter_2(sK4,sF126),
introduced(definition,[new_symbols(definition,[sF127])],[function_definition]) ).
fof(f36058,plain,
k19_filter_2(sK4,sF126) = sF127,
inference(reorient_equations,[],[f36057]) ).
fof(f36059,definition,
sF128 = k19_filter_2(sK4,sK6),
introduced(definition,[new_symbols(definition,[sF128])],[function_definition]) ).
fof(f36060,plain,
k19_filter_2(sK4,sK6) = sF128,
inference(reorient_equations,[],[f36059]) ).
fof(f36061,definition,
sF129 = k4_subset_1(sF122,sK5,sF128),
introduced(definition,[new_symbols(definition,[sF129])],[function_definition]) ).
fof(f36062,plain,
k4_subset_1(sF122,sK5,sF128) = sF129,
inference(reorient_equations,[],[f36061]) ).
fof(f36063,definition,
sF130 = k19_filter_2(sK4,sF129),
introduced(definition,[new_symbols(definition,[sF130])],[function_definition]) ).
fof(f36064,plain,
k19_filter_2(sK4,sF129) = sF130,
inference(reorient_equations,[],[f36063]) ).
fof(f36065,plain,
( ~ r1_filter_2(sF122,sF124,sF127)
| ~ r1_filter_2(sF122,sF124,sF130) ),
inference(definition_folding,[],[f35351,f36064,f36062,f36060,f36048,f36052,f36050,f36048,f36048,f36058,f36056,f36054,f36048,f36052,f36050,f36048,f36048]) ).
fof(f36066,definition,
sF131 = k1_zfmisc_1(sF122),
introduced(definition,[new_symbols(definition,[sF131])],[function_definition]) ).
fof(f36067,plain,
k1_zfmisc_1(sF122) = sF131,
inference(reorient_equations,[],[f36066]) ).
fof(f36068,plain,
m1_subset_1(sK6,sF131),
inference(definition_folding,[],[f35349,f36067,f36048]) ).
fof(f36069,plain,
m1_subset_1(sK5,sF131),
inference(definition_folding,[],[f35347,f36067,f36048]) ).
fof(f36080,definition,
( spl132_1
<=> v1_xboole_0(k1_xboole_0) ),
introduced(definition,[new_symbols(definition,[spl132_1])],[avatar_definition]) ).
fof(f36083,plain,
spl132_1,
inference(avatar_split_clause,[],[f35953,f36080]) ).
fof(f36265,definition,
( spl132_38
<=> l3_lattices(sK4) ),
introduced(definition,[new_symbols(definition,[spl132_38])],[avatar_definition]) ).
fof(f36267,plain,
( l3_lattices(sK4)
| ~ spl132_38 ),
inference(avatar_component_clause,[],[f36265]) ).
fof(f36268,plain,
spl132_38,
inference(avatar_split_clause,[],[f35344,f36265]) ).
fof(f36270,definition,
( spl132_39
<=> v10_lattices(sK4) ),
introduced(definition,[new_symbols(definition,[spl132_39])],[avatar_definition]) ).
fof(f36272,plain,
( v10_lattices(sK4)
| ~ spl132_39 ),
inference(avatar_component_clause,[],[f36270]) ).
fof(f36273,plain,
spl132_39,
inference(avatar_split_clause,[],[f35345,f36270]) ).
fof(f36275,definition,
( spl132_40
<=> v3_struct_0(sK4) ),
introduced(definition,[new_symbols(definition,[spl132_40])],[avatar_definition]) ).
fof(f36277,plain,
( ~ v3_struct_0(sK4)
| spl132_40 ),
inference(avatar_component_clause,[],[f36275]) ).
fof(f36278,plain,
~ spl132_40,
inference(avatar_split_clause,[],[f35346,f36275]) ).
fof(f36280,definition,
( spl132_41
<=> m1_subset_1(sK5,sF131) ),
introduced(definition,[new_symbols(definition,[spl132_41])],[avatar_definition]) ).
fof(f36282,plain,
( m1_subset_1(sK5,sF131)
| ~ spl132_41 ),
inference(avatar_component_clause,[],[f36280]) ).
fof(f36283,plain,
spl132_41,
inference(avatar_split_clause,[],[f36069,f36280]) ).
fof(f36285,definition,
( spl132_42
<=> v1_xboole_0(sK5) ),
introduced(definition,[new_symbols(definition,[spl132_42])],[avatar_definition]) ).
fof(f36287,plain,
( ~ v1_xboole_0(sK5)
| spl132_42 ),
inference(avatar_component_clause,[],[f36285]) ).
fof(f36288,plain,
~ spl132_42,
inference(avatar_split_clause,[],[f35348,f36285]) ).
fof(f36290,definition,
( spl132_43
<=> m1_subset_1(sK6,sF131) ),
introduced(definition,[new_symbols(definition,[spl132_43])],[avatar_definition]) ).
fof(f36292,plain,
( m1_subset_1(sK6,sF131)
| ~ spl132_43 ),
inference(avatar_component_clause,[],[f36290]) ).
fof(f36293,plain,
spl132_43,
inference(avatar_split_clause,[],[f36068,f36290]) ).
fof(f36295,definition,
( spl132_44
<=> v1_xboole_0(sK6) ),
introduced(definition,[new_symbols(definition,[spl132_44])],[avatar_definition]) ).
fof(f36297,plain,
( ~ v1_xboole_0(sK6)
| spl132_44 ),
inference(avatar_component_clause,[],[f36295]) ).
fof(f36298,plain,
~ spl132_44,
inference(avatar_split_clause,[],[f35350,f36295]) ).
fof(f36300,definition,
( spl132_45
<=> r1_filter_2(sF122,sF124,sF130) ),
introduced(definition,[new_symbols(definition,[spl132_45])],[avatar_definition]) ).
fof(f36302,plain,
( ~ r1_filter_2(sF122,sF124,sF130)
| spl132_45 ),
inference(avatar_component_clause,[],[f36300]) ).
fof(f36304,definition,
( spl132_46
<=> r1_filter_2(sF122,sF124,sF127) ),
introduced(definition,[new_symbols(definition,[spl132_46])],[avatar_definition]) ).
fof(f36306,plain,
( ~ r1_filter_2(sF122,sF124,sF127)
| spl132_46 ),
inference(avatar_component_clause,[],[f36304]) ).
fof(f36307,plain,
( ~ spl132_45
| ~ spl132_46 ),
inference(avatar_split_clause,[],[f36065,f36304,f36300]) ).
fof(f36314,definition,
( spl132_48
<=> u1_struct_0(sK4) = sF122 ),
introduced(definition,[new_symbols(definition,[spl132_48])],[avatar_definition]) ).
fof(f36316,plain,
( u1_struct_0(sK4) = sF122
| ~ spl132_48 ),
inference(avatar_component_clause,[],[f36314]) ).
fof(f36317,plain,
spl132_48,
inference(avatar_split_clause,[],[f36048,f36314]) ).
fof(f36319,definition,
( spl132_49
<=> k4_subset_1(sF122,sK5,sK6) = sF123 ),
introduced(definition,[new_symbols(definition,[spl132_49])],[avatar_definition]) ).
fof(f36321,plain,
( k4_subset_1(sF122,sK5,sK6) = sF123
| ~ spl132_49 ),
inference(avatar_component_clause,[],[f36319]) ).
fof(f36322,plain,
spl132_49,
inference(avatar_split_clause,[],[f36050,f36319]) ).
fof(f36324,definition,
( spl132_50
<=> k19_filter_2(sK4,sF123) = sF124 ),
introduced(definition,[new_symbols(definition,[spl132_50])],[avatar_definition]) ).
fof(f36326,plain,
( k19_filter_2(sK4,sF123) = sF124
| ~ spl132_50 ),
inference(avatar_component_clause,[],[f36324]) ).
fof(f36327,plain,
spl132_50,
inference(avatar_split_clause,[],[f36052,f36324]) ).
fof(f36329,definition,
( spl132_51
<=> k19_filter_2(sK4,sK5) = sF125 ),
introduced(definition,[new_symbols(definition,[spl132_51])],[avatar_definition]) ).
fof(f36331,plain,
( k19_filter_2(sK4,sK5) = sF125
| ~ spl132_51 ),
inference(avatar_component_clause,[],[f36329]) ).
fof(f36332,plain,
spl132_51,
inference(avatar_split_clause,[],[f36054,f36329]) ).
fof(f36334,definition,
( spl132_52
<=> k4_subset_1(sF122,sF125,sK6) = sF126 ),
introduced(definition,[new_symbols(definition,[spl132_52])],[avatar_definition]) ).
fof(f36336,plain,
( k4_subset_1(sF122,sF125,sK6) = sF126
| ~ spl132_52 ),
inference(avatar_component_clause,[],[f36334]) ).
fof(f36337,plain,
spl132_52,
inference(avatar_split_clause,[],[f36056,f36334]) ).
fof(f36339,definition,
( spl132_53
<=> k19_filter_2(sK4,sF126) = sF127 ),
introduced(definition,[new_symbols(definition,[spl132_53])],[avatar_definition]) ).
fof(f36341,plain,
( k19_filter_2(sK4,sF126) = sF127
| ~ spl132_53 ),
inference(avatar_component_clause,[],[f36339]) ).
fof(f36342,plain,
spl132_53,
inference(avatar_split_clause,[],[f36058,f36339]) ).
fof(f36344,definition,
( spl132_54
<=> k19_filter_2(sK4,sK6) = sF128 ),
introduced(definition,[new_symbols(definition,[spl132_54])],[avatar_definition]) ).
fof(f36346,plain,
( k19_filter_2(sK4,sK6) = sF128
| ~ spl132_54 ),
inference(avatar_component_clause,[],[f36344]) ).
fof(f36347,plain,
spl132_54,
inference(avatar_split_clause,[],[f36060,f36344]) ).
fof(f36349,definition,
( spl132_55
<=> k4_subset_1(sF122,sK5,sF128) = sF129 ),
introduced(definition,[new_symbols(definition,[spl132_55])],[avatar_definition]) ).
fof(f36351,plain,
( k4_subset_1(sF122,sK5,sF128) = sF129
| ~ spl132_55 ),
inference(avatar_component_clause,[],[f36349]) ).
fof(f36352,plain,
spl132_55,
inference(avatar_split_clause,[],[f36062,f36349]) ).
fof(f36354,definition,
( spl132_56
<=> k19_filter_2(sK4,sF129) = sF130 ),
introduced(definition,[new_symbols(definition,[spl132_56])],[avatar_definition]) ).
fof(f36356,plain,
( k19_filter_2(sK4,sF129) = sF130
| ~ spl132_56 ),
inference(avatar_component_clause,[],[f36354]) ).
fof(f36357,plain,
spl132_56,
inference(avatar_split_clause,[],[f36064,f36354]) ).
fof(f36359,definition,
( spl132_57
<=> k1_zfmisc_1(sF122) = sF131 ),
introduced(definition,[new_symbols(definition,[spl132_57])],[avatar_definition]) ).
fof(f36361,plain,
( k1_zfmisc_1(sF122) = sF131
| ~ spl132_57 ),
inference(avatar_component_clause,[],[f36359]) ).
fof(f36362,plain,
spl132_57,
inference(avatar_split_clause,[],[f36067,f36359]) ).
fof(f36415,plain,
( ! [X0] :
( r1_filter_2(sF122,k19_filter_2(sK4,X0),X0)
| ~ m2_filter_2(X0,sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| ~ spl132_48 ),
inference(superposition,[],[f35405,f36316]) ).
fof(f36416,plain,
( ! [X0] :
( r1_filter_2(sF122,k19_filter_2(sK4,X0),X0)
| ~ m2_filter_2(X0,sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4) )
| ~ spl132_38
| ~ spl132_48 ),
inference(forward_subsumption_resolution,[],[f36415,f36267]) ).
fof(f36418,definition,
( spl132_68
<=> ! [X0] :
( r1_filter_2(sF122,k19_filter_2(sK4,X0),X0)
| ~ m2_filter_2(X0,sK4) ) ),
introduced(definition,[new_symbols(definition,[spl132_68])],[avatar_definition]) ).
fof(f36419,plain,
( ! [X0] :
( r1_filter_2(sF122,k19_filter_2(sK4,X0),X0)
| ~ m2_filter_2(X0,sK4) )
| ~ spl132_68 ),
inference(avatar_component_clause,[],[f36418]) ).
fof(f36420,plain,
( ~ spl132_39
| spl132_40
| spl132_68
| ~ spl132_38
| ~ spl132_48 ),
inference(avatar_split_clause,[],[f36416,f36314,f36265,f36418,f36275,f36270]) ).
fof(f36421,plain,
( ~ m2_filter_2(sF125,sK4)
| r1_tarski(sK5,sF125)
| v1_xboole_0(sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ spl132_51 ),
inference(superposition,[],[f35997,f36331]) ).
fof(f36422,plain,
( ~ m2_filter_2(sF128,sK4)
| r1_tarski(sK6,sF128)
| v1_xboole_0(sK6)
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ spl132_54 ),
inference(superposition,[],[f35997,f36346]) ).
fof(f36429,plain,
( ~ m2_filter_2(sF128,sK4)
| r1_tarski(sK6,sF128)
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl132_44
| ~ spl132_54 ),
inference(forward_subsumption_resolution,[],[f36422,f36297]) ).
fof(f36430,plain,
( ~ m2_filter_2(sF125,sK4)
| r1_tarski(sK5,sF125)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl132_42
| ~ spl132_51 ),
inference(forward_subsumption_resolution,[],[f36421,f36287]) ).
fof(f36434,plain,
( ~ m2_filter_2(sF128,sK4)
| r1_tarski(sK6,sF128)
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ spl132_38
| spl132_44
| ~ spl132_54 ),
inference(forward_subsumption_resolution,[],[f36429,f36267]) ).
fof(f36435,plain,
( ~ m2_filter_2(sF125,sK4)
| r1_tarski(sK5,sF125)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ spl132_38
| spl132_42
| ~ spl132_51 ),
inference(forward_subsumption_resolution,[],[f36430,f36267]) ).
fof(f36439,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ m2_filter_2(sF128,sK4)
| r1_tarski(sK6,sF128)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ spl132_38
| spl132_44
| ~ spl132_48
| ~ spl132_54 ),
inference(forward_demodulation,[],[f36434,f36316]) ).
fof(f36440,plain,
( ~ m1_subset_1(sK5,k1_zfmisc_1(sF122))
| ~ m2_filter_2(sF125,sK4)
| r1_tarski(sK5,sF125)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ spl132_38
| spl132_42
| ~ spl132_48
| ~ spl132_51 ),
inference(forward_demodulation,[],[f36435,f36316]) ).
fof(f36442,definition,
( spl132_69
<=> v1_xboole_0(sF129) ),
introduced(definition,[new_symbols(definition,[spl132_69])],[avatar_definition]) ).
fof(f36450,definition,
( spl132_71
<=> m2_filter_2(sF130,sK4) ),
introduced(definition,[new_symbols(definition,[spl132_71])],[avatar_definition]) ).
fof(f36451,plain,
( m2_filter_2(sF130,sK4)
| ~ spl132_71 ),
inference(avatar_component_clause,[],[f36450]) ).
fof(f36454,definition,
( spl132_72
<=> m1_subset_1(sF129,sF131) ),
introduced(definition,[new_symbols(definition,[spl132_72])],[avatar_definition]) ).
fof(f36455,plain,
( m1_subset_1(sF129,sF131)
| ~ spl132_72 ),
inference(avatar_component_clause,[],[f36454]) ).
fof(f36459,definition,
( spl132_73
<=> v1_xboole_0(sF126) ),
introduced(definition,[new_symbols(definition,[spl132_73])],[avatar_definition]) ).
fof(f36467,definition,
( spl132_75
<=> m2_filter_2(sF127,sK4) ),
introduced(definition,[new_symbols(definition,[spl132_75])],[avatar_definition]) ).
fof(f36468,plain,
( m2_filter_2(sF127,sK4)
| ~ spl132_75 ),
inference(avatar_component_clause,[],[f36467]) ).
fof(f36471,definition,
( spl132_76
<=> m1_subset_1(sF126,sF131) ),
introduced(definition,[new_symbols(definition,[spl132_76])],[avatar_definition]) ).
fof(f36472,plain,
( m1_subset_1(sF126,sF131)
| ~ spl132_76 ),
inference(avatar_component_clause,[],[f36471]) ).
fof(f36476,definition,
( spl132_77
<=> v1_xboole_0(sF123) ),
introduced(definition,[new_symbols(definition,[spl132_77])],[avatar_definition]) ).
fof(f36477,plain,
( ~ v1_xboole_0(sF123)
| spl132_77 ),
inference(avatar_component_clause,[],[f36476]) ).
fof(f36484,definition,
( spl132_79
<=> m2_filter_2(sF124,sK4) ),
introduced(definition,[new_symbols(definition,[spl132_79])],[avatar_definition]) ).
fof(f36485,plain,
( m2_filter_2(sF124,sK4)
| ~ spl132_79 ),
inference(avatar_component_clause,[],[f36484]) ).
fof(f36488,definition,
( spl132_80
<=> m1_subset_1(sF123,sF131) ),
introduced(definition,[new_symbols(definition,[spl132_80])],[avatar_definition]) ).
fof(f36489,plain,
( m1_subset_1(sF123,sF131)
| ~ spl132_80 ),
inference(avatar_component_clause,[],[f36488]) ).
fof(f36492,plain,
( ~ m1_subset_1(sK6,sF131)
| ~ m2_filter_2(sF128,sK4)
| r1_tarski(sK6,sF128)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ spl132_38
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36439,f36361]) ).
fof(f36493,plain,
( ~ m1_subset_1(sK5,sF131)
| ~ m2_filter_2(sF125,sK4)
| r1_tarski(sK5,sF125)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ spl132_38
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36440,f36361]) ).
fof(f36494,plain,
( ~ m2_filter_2(sF128,sK4)
| r1_tarski(sK6,sF128)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ spl132_38
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f36492,f36292]) ).
fof(f36495,plain,
( ~ m2_filter_2(sF125,sK4)
| r1_tarski(sK5,sF125)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ spl132_38
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f36493,f36282]) ).
fof(f36497,definition,
( spl132_81
<=> r1_tarski(sK6,sF128) ),
introduced(definition,[new_symbols(definition,[spl132_81])],[avatar_definition]) ).
fof(f36499,plain,
( r1_tarski(sK6,sF128)
| ~ spl132_81 ),
inference(avatar_component_clause,[],[f36497]) ).
fof(f36501,definition,
( spl132_82
<=> m2_filter_2(sF128,sK4) ),
introduced(definition,[new_symbols(definition,[spl132_82])],[avatar_definition]) ).
fof(f36504,plain,
( ~ spl132_39
| spl132_40
| spl132_81
| ~ spl132_82
| ~ spl132_38
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f36494,f36359,f36344,f36314,f36295,f36290,f36265,f36501,f36497,f36275,f36270]) ).
fof(f36506,definition,
( spl132_83
<=> r1_tarski(sK5,sF125) ),
introduced(definition,[new_symbols(definition,[spl132_83])],[avatar_definition]) ).
fof(f36508,plain,
( r1_tarski(sK5,sF125)
| ~ spl132_83 ),
inference(avatar_component_clause,[],[f36506]) ).
fof(f36510,definition,
( spl132_84
<=> m2_filter_2(sF125,sK4) ),
introduced(definition,[new_symbols(definition,[spl132_84])],[avatar_definition]) ).
fof(f36513,plain,
( ~ spl132_39
| spl132_40
| spl132_83
| ~ spl132_84
| ~ spl132_38
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f36495,f36359,f36329,f36314,f36285,f36280,f36265,f36510,f36506,f36275,f36270]) ).
fof(f36514,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| v1_xboole_0(X0)
| m2_filter_2(k19_filter_2(sK4,X0),sK4) )
| ~ spl132_48 ),
inference(superposition,[],[f35411,f36316]) ).
fof(f36515,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| v1_xboole_0(X0)
| m2_filter_2(k19_filter_2(sK4,X0),sK4) )
| ~ spl132_38
| ~ spl132_48 ),
inference(forward_subsumption_resolution,[],[f36514,f36267]) ).
fof(f36516,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF131)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| v1_xboole_0(X0)
| m2_filter_2(k19_filter_2(sK4,X0),sK4) )
| ~ spl132_38
| ~ spl132_48
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36515,f36361]) ).
fof(f36518,definition,
( spl132_85
<=> ! [X0] :
( ~ m1_subset_1(X0,sF131)
| m2_filter_2(k19_filter_2(sK4,X0),sK4)
| v1_xboole_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl132_85])],[avatar_definition]) ).
fof(f36519,plain,
( ! [X0] :
( m2_filter_2(k19_filter_2(sK4,X0),sK4)
| ~ m1_subset_1(X0,sF131)
| v1_xboole_0(X0) )
| ~ spl132_85 ),
inference(avatar_component_clause,[],[f36518]) ).
fof(f36520,plain,
( ~ spl132_39
| spl132_40
| spl132_85
| ~ spl132_38
| ~ spl132_48
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f36516,f36359,f36314,f36265,f36518,f36275,f36270]) ).
fof(f36553,definition,
( spl132_91
<=> v1_xboole_0(sF122) ),
introduced(definition,[new_symbols(definition,[spl132_91])],[avatar_definition]) ).
fof(f36555,plain,
( v1_xboole_0(sF122)
| ~ spl132_91 ),
inference(avatar_component_clause,[],[f36553]) ).
fof(f36560,plain,
! [X0,X1,X4] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X4)
| ~ m2_filter_2(X4,X0)
| v1_xboole_0(X1)
| r1_tarski(k19_filter_2(X0,X1),X4)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f35998,f35411]) ).
fof(f36561,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| ~ r1_tarski(X0,X1)
| ~ m2_filter_2(X1,sK4)
| v1_xboole_0(X0)
| r1_tarski(k19_filter_2(sK4,X0),X1)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| ~ spl132_48 ),
inference(superposition,[],[f36560,f36316]) ).
fof(f36562,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| ~ r1_tarski(X0,X1)
| ~ m2_filter_2(X1,sK4)
| v1_xboole_0(X0)
| r1_tarski(k19_filter_2(sK4,X0),X1)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| spl132_40
| ~ spl132_48 ),
inference(forward_subsumption_resolution,[],[f36561,f36277]) ).
fof(f36563,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| ~ r1_tarski(X0,X1)
| ~ m2_filter_2(X1,sK4)
| v1_xboole_0(X0)
| r1_tarski(k19_filter_2(sK4,X0),X1)
| ~ l3_lattices(sK4) )
| ~ spl132_39
| spl132_40
| ~ spl132_48 ),
inference(forward_subsumption_resolution,[],[f36562,f36272]) ).
fof(f36564,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| ~ r1_tarski(X0,X1)
| ~ m2_filter_2(X1,sK4)
| v1_xboole_0(X0)
| r1_tarski(k19_filter_2(sK4,X0),X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48 ),
inference(forward_subsumption_resolution,[],[f36563,f36267]) ).
fof(f36565,plain,
( ! [X0,X1] :
( r1_tarski(k19_filter_2(sK4,X0),X1)
| ~ r1_tarski(X0,X1)
| ~ m2_filter_2(X1,sK4)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,sF131) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36564,f36361]) ).
fof(f36566,plain,
( ! [X0] :
( r1_tarski(sF125,X0)
| ~ r1_tarski(sK5,X0)
| ~ m2_filter_2(X0,sK4)
| v1_xboole_0(sK5)
| ~ m1_subset_1(sK5,sF131) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(superposition,[],[f36565,f36331]) ).
fof(f36567,plain,
( ! [X0] :
( r1_tarski(sF128,X0)
| ~ r1_tarski(sK6,X0)
| ~ m2_filter_2(X0,sK4)
| v1_xboole_0(sK6)
| ~ m1_subset_1(sK6,sF131) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(superposition,[],[f36565,f36346]) ).
fof(f36568,plain,
( ! [X0] :
( r1_tarski(sF124,X0)
| ~ r1_tarski(sF123,X0)
| ~ m2_filter_2(X0,sK4)
| v1_xboole_0(sF123)
| ~ m1_subset_1(sF123,sF131) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_50
| ~ spl132_57 ),
inference(superposition,[],[f36565,f36326]) ).
fof(f36569,plain,
( ! [X0] :
( r1_tarski(sF127,X0)
| ~ r1_tarski(sF126,X0)
| ~ m2_filter_2(X0,sK4)
| v1_xboole_0(sF126)
| ~ m1_subset_1(sF126,sF131) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_53
| ~ spl132_57 ),
inference(superposition,[],[f36565,f36341]) ).
fof(f36570,plain,
( ! [X0] :
( r1_tarski(sF130,X0)
| ~ r1_tarski(sF129,X0)
| ~ m2_filter_2(X0,sK4)
| v1_xboole_0(sF129)
| ~ m1_subset_1(sF129,sF131) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_56
| ~ spl132_57 ),
inference(superposition,[],[f36565,f36356]) ).
fof(f36572,definition,
( spl132_93
<=> ! [X0] :
( r1_tarski(sF130,X0)
| ~ m2_filter_2(X0,sK4)
| ~ r1_tarski(sF129,X0) ) ),
introduced(definition,[new_symbols(definition,[spl132_93])],[avatar_definition]) ).
fof(f36573,plain,
( ! [X0] :
( ~ m2_filter_2(X0,sK4)
| r1_tarski(sF130,X0)
| ~ r1_tarski(sF129,X0) )
| ~ spl132_93 ),
inference(avatar_component_clause,[],[f36572]) ).
fof(f36574,plain,
( ~ spl132_72
| spl132_69
| spl132_93
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_56
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f36570,f36359,f36354,f36314,f36275,f36270,f36265,f36572,f36442,f36454]) ).
fof(f36576,definition,
( spl132_94
<=> ! [X0] :
( r1_tarski(sF127,X0)
| ~ m2_filter_2(X0,sK4)
| ~ r1_tarski(sF126,X0) ) ),
introduced(definition,[new_symbols(definition,[spl132_94])],[avatar_definition]) ).
fof(f36577,plain,
( ! [X0] :
( ~ m2_filter_2(X0,sK4)
| r1_tarski(sF127,X0)
| ~ r1_tarski(sF126,X0) )
| ~ spl132_94 ),
inference(avatar_component_clause,[],[f36576]) ).
fof(f36578,plain,
( ~ spl132_76
| spl132_73
| spl132_94
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_53
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f36569,f36359,f36339,f36314,f36275,f36270,f36265,f36576,f36459,f36471]) ).
fof(f36580,definition,
( spl132_95
<=> ! [X0] :
( r1_tarski(sF124,X0)
| ~ m2_filter_2(X0,sK4)
| ~ r1_tarski(sF123,X0) ) ),
introduced(definition,[new_symbols(definition,[spl132_95])],[avatar_definition]) ).
fof(f36581,plain,
( ! [X0] :
( ~ m2_filter_2(X0,sK4)
| r1_tarski(sF124,X0)
| ~ r1_tarski(sF123,X0) )
| ~ spl132_95 ),
inference(avatar_component_clause,[],[f36580]) ).
fof(f36582,plain,
( ~ spl132_80
| spl132_77
| spl132_95
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_50
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f36568,f36359,f36324,f36314,f36275,f36270,f36265,f36580,f36476,f36488]) ).
fof(f36583,plain,
( ! [X0] :
( r1_tarski(sF128,X0)
| ~ r1_tarski(sK6,X0)
| ~ m2_filter_2(X0,sK4)
| ~ m1_subset_1(sK6,sF131) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f36567,f36297]) ).
fof(f36584,plain,
( ! [X0] :
( r1_tarski(sF125,X0)
| ~ r1_tarski(sK5,X0)
| ~ m2_filter_2(X0,sK4)
| ~ m1_subset_1(sK5,sF131) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f36566,f36287]) ).
fof(f36585,plain,
( ! [X0] :
( ~ m2_filter_2(X0,sK4)
| ~ r1_tarski(sK6,X0)
| r1_tarski(sF128,X0) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f36583,f36292]) ).
fof(f36586,plain,
( ! [X0] :
( ~ m2_filter_2(X0,sK4)
| ~ r1_tarski(sK5,X0)
| r1_tarski(sF125,X0) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f36584,f36282]) ).
fof(f36590,plain,
( sF123 = k2_xboole_0(sK5,sK6)
| ~ m1_subset_1(sK5,k1_zfmisc_1(sF122))
| ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ spl132_49 ),
inference(superposition,[],[f36321,f35385]) ).
fof(f36595,plain,
( ~ m1_subset_1(sK5,sF131)
| sF123 = k2_xboole_0(sK5,sK6)
| ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ spl132_49
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36590,f36361]) ).
fof(f36601,plain,
( sF123 = k2_xboole_0(sK5,sK6)
| ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ spl132_41
| ~ spl132_49
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f36595,f36282]) ).
fof(f36607,plain,
( ~ m1_subset_1(sK6,sF131)
| sF123 = k2_xboole_0(sK5,sK6)
| ~ spl132_41
| ~ spl132_49
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36601,f36361]) ).
fof(f36612,definition,
( spl132_96
<=> sF126 = k2_xboole_0(sF125,sK6) ),
introduced(definition,[new_symbols(definition,[spl132_96])],[avatar_definition]) ).
fof(f36614,plain,
( sF126 = k2_xboole_0(sF125,sK6)
| ~ spl132_96 ),
inference(avatar_component_clause,[],[f36612]) ).
fof(f36616,definition,
( spl132_97
<=> m1_subset_1(sF125,sF131) ),
introduced(definition,[new_symbols(definition,[spl132_97])],[avatar_definition]) ).
fof(f36617,plain,
( m1_subset_1(sF125,sF131)
| ~ spl132_97 ),
inference(avatar_component_clause,[],[f36616]) ).
fof(f36625,definition,
( spl132_99
<=> m1_subset_1(sF128,sF131) ),
introduced(definition,[new_symbols(definition,[spl132_99])],[avatar_definition]) ).
fof(f36626,plain,
( m1_subset_1(sF128,sF131)
| ~ spl132_99 ),
inference(avatar_component_clause,[],[f36625]) ).
fof(f36629,plain,
( sF123 = k2_xboole_0(sK5,sK6)
| ~ spl132_41
| ~ spl132_43
| ~ spl132_49
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f36607,f36292]) ).
fof(f36634,definition,
( spl132_100
<=> sF123 = k2_xboole_0(sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl132_100])],[avatar_definition]) ).
fof(f36636,plain,
( sF123 = k2_xboole_0(sK5,sK6)
| ~ spl132_100 ),
inference(avatar_component_clause,[],[f36634]) ).
fof(f36637,plain,
( spl132_100
| ~ spl132_41
| ~ spl132_43
| ~ spl132_49
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f36629,f36359,f36319,f36290,f36280,f36634]) ).
fof(f36656,plain,
( ! [X0,X1] :
( r1_tarski(sF125,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK5,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| ~ spl132_51 ),
inference(superposition,[],[f35404,f36331]) ).
fof(f36657,plain,
( ! [X0,X1] :
( r1_tarski(sF128,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK6,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(sK6)
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| ~ spl132_54 ),
inference(superposition,[],[f35404,f36346]) ).
fof(f36658,plain,
( ! [X0,X1] :
( r1_tarski(sF124,k19_filter_2(sK4,X0))
| ~ r1_tarski(sF123,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(sF123)
| ~ m1_subset_1(sF123,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| ~ spl132_50 ),
inference(superposition,[],[f35404,f36326]) ).
fof(f36665,plain,
( ! [X0,X1] :
( r1_tarski(k19_filter_2(sK4,X0),sF130)
| ~ r1_tarski(X0,sF129)
| v1_xboole_0(sF129)
| ~ m1_subset_1(sF129,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| ~ spl132_56 ),
inference(superposition,[],[f35404,f36356]) ).
fof(f36666,plain,
( ! [X0,X1] :
( r1_tarski(k19_filter_2(sK4,X0),sF130)
| ~ r1_tarski(X0,sF129)
| v1_xboole_0(sF129)
| ~ m1_subset_1(sF129,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| spl132_40
| ~ spl132_56 ),
inference(forward_subsumption_resolution,[],[f36665,f36277]) ).
fof(f36673,plain,
( ! [X0,X1] :
( r1_tarski(sF124,k19_filter_2(sK4,X0))
| ~ r1_tarski(sF123,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(sF123)
| ~ m1_subset_1(sF123,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| spl132_40
| ~ spl132_50 ),
inference(forward_subsumption_resolution,[],[f36658,f36277]) ).
fof(f36674,plain,
( ! [X0,X1] :
( r1_tarski(sF128,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK6,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| spl132_44
| ~ spl132_54 ),
inference(forward_subsumption_resolution,[],[f36657,f36297]) ).
fof(f36675,plain,
( ! [X0,X1] :
( r1_tarski(sF125,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK5,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| spl132_42
| ~ spl132_51 ),
inference(forward_subsumption_resolution,[],[f36656,f36287]) ).
fof(f36676,plain,
( ! [X0,X1] :
( r1_tarski(k19_filter_2(sK4,X0),sF130)
| ~ r1_tarski(X0,sF129)
| v1_xboole_0(sF129)
| ~ m1_subset_1(sF129,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ l3_lattices(sK4) )
| ~ spl132_39
| spl132_40
| ~ spl132_56 ),
inference(forward_subsumption_resolution,[],[f36666,f36272]) ).
fof(f36683,plain,
( ! [X0,X1] :
( r1_tarski(sF124,k19_filter_2(sK4,X0))
| ~ r1_tarski(sF123,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(sF123)
| ~ m1_subset_1(sF123,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ l3_lattices(sK4) )
| ~ spl132_39
| spl132_40
| ~ spl132_50 ),
inference(forward_subsumption_resolution,[],[f36673,f36272]) ).
fof(f36684,plain,
( ! [X0,X1] :
( r1_tarski(sF128,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK6,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| spl132_40
| spl132_44
| ~ spl132_54 ),
inference(forward_subsumption_resolution,[],[f36674,f36277]) ).
fof(f36685,plain,
( ! [X0,X1] :
( r1_tarski(sF125,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK5,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| spl132_40
| spl132_42
| ~ spl132_51 ),
inference(forward_subsumption_resolution,[],[f36675,f36277]) ).
fof(f36686,plain,
( ! [X0,X1] :
( r1_tarski(k19_filter_2(sK4,X0),sF130)
| ~ r1_tarski(X0,sF129)
| v1_xboole_0(sF129)
| ~ m1_subset_1(sF129,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_56 ),
inference(forward_subsumption_resolution,[],[f36676,f36267]) ).
fof(f36693,plain,
( ! [X0,X1] :
( r1_tarski(sF124,k19_filter_2(sK4,X0))
| ~ r1_tarski(sF123,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(sF123)
| ~ m1_subset_1(sF123,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_50 ),
inference(forward_subsumption_resolution,[],[f36683,f36267]) ).
fof(f36694,plain,
( ! [X0,X1] :
( r1_tarski(sF128,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK6,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ l3_lattices(sK4) )
| ~ spl132_39
| spl132_40
| spl132_44
| ~ spl132_54 ),
inference(forward_subsumption_resolution,[],[f36684,f36272]) ).
fof(f36695,plain,
( ! [X0,X1] :
( r1_tarski(sF125,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK5,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ l3_lattices(sK4) )
| ~ spl132_39
| spl132_40
| spl132_42
| ~ spl132_51 ),
inference(forward_subsumption_resolution,[],[f36685,f36272]) ).
fof(f36696,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sF129,k1_zfmisc_1(sF122))
| r1_tarski(k19_filter_2(sK4,X0),sF130)
| ~ r1_tarski(X0,sF129)
| v1_xboole_0(sF129)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_56 ),
inference(forward_demodulation,[],[f36686,f36316]) ).
fof(f36703,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| r1_tarski(sF124,k19_filter_2(sK4,X0))
| ~ r1_tarski(sF123,X0)
| v1_xboole_0(X0)
| v1_xboole_0(sF123)
| ~ m1_subset_1(sF123,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_50 ),
inference(forward_demodulation,[],[f36693,f36316]) ).
fof(f36704,plain,
( ! [X0,X1] :
( r1_tarski(sF128,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK6,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_44
| ~ spl132_54 ),
inference(forward_subsumption_resolution,[],[f36694,f36267]) ).
fof(f36705,plain,
( ! [X0,X1] :
( r1_tarski(sF125,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK5,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_42
| ~ spl132_51 ),
inference(forward_subsumption_resolution,[],[f36695,f36267]) ).
fof(f36706,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sF129,sF131)
| r1_tarski(k19_filter_2(sK4,X0),sF130)
| ~ r1_tarski(X0,sF129)
| v1_xboole_0(sF129)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_56
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36696,f36361]) ).
fof(f36713,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF131)
| r1_tarski(sF124,k19_filter_2(sK4,X0))
| ~ r1_tarski(sF123,X0)
| v1_xboole_0(X0)
| v1_xboole_0(sF123)
| ~ m1_subset_1(sF123,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_50
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36703,f36361]) ).
fof(f36714,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| r1_tarski(sF128,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK6,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_44
| ~ spl132_48
| ~ spl132_54 ),
inference(forward_demodulation,[],[f36704,f36316]) ).
fof(f36715,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| r1_tarski(sF125,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK5,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_42
| ~ spl132_48
| ~ spl132_51 ),
inference(forward_demodulation,[],[f36705,f36316]) ).
fof(f36716,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| ~ m1_subset_1(sF129,sF131)
| r1_tarski(k19_filter_2(sK4,X0),sF130)
| ~ r1_tarski(X0,sF129)
| v1_xboole_0(sF129)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_56
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36706,f36316]) ).
fof(f36723,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sF123,k1_zfmisc_1(sF122))
| ~ m1_subset_1(X0,sF131)
| r1_tarski(sF124,k19_filter_2(sK4,X0))
| ~ r1_tarski(sF123,X0)
| v1_xboole_0(X0)
| v1_xboole_0(sF123)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_50
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36713,f36316]) ).
fof(f36724,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF131)
| r1_tarski(sF128,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK6,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36714,f36361]) ).
fof(f36725,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF131)
| r1_tarski(sF125,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK5,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36715,f36361]) ).
fof(f36726,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF131)
| ~ m1_subset_1(sF129,sF131)
| r1_tarski(k19_filter_2(sK4,X0),sF130)
| ~ r1_tarski(X0,sF129)
| v1_xboole_0(sF129)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_56
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36716,f36361]) ).
fof(f36733,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sF123,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(sF124,k19_filter_2(sK4,X0))
| ~ r1_tarski(sF123,X0)
| v1_xboole_0(X0)
| v1_xboole_0(sF123)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_50
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36723,f36361]) ).
fof(f36734,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ m1_subset_1(X0,sF131)
| r1_tarski(sF128,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK6,X0)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36724,f36316]) ).
fof(f36735,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK5,k1_zfmisc_1(sF122))
| ~ m1_subset_1(X0,sF131)
| r1_tarski(sF125,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK5,X0)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36725,f36316]) ).
fof(f36736,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(sF122))
| ~ m1_subset_1(X0,sF131)
| ~ m1_subset_1(sF129,sF131)
| r1_tarski(k19_filter_2(sK4,X0),sF130)
| ~ r1_tarski(X0,sF129)
| v1_xboole_0(sF129)
| v1_xboole_0(X0)
| v1_xboole_0(X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_56
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36726,f36316]) ).
fof(f36743,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(sF122))
| ~ m1_subset_1(sF123,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(sF124,k19_filter_2(sK4,X0))
| ~ r1_tarski(sF123,X0)
| v1_xboole_0(X0)
| v1_xboole_0(sF123)
| v1_xboole_0(X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_50
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36733,f36316]) ).
fof(f36744,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK6,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(sF128,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK6,X0)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36734,f36361]) ).
fof(f36745,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK5,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(sF125,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK5,X0)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36735,f36361]) ).
fof(f36746,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF131)
| ~ m1_subset_1(X0,sF131)
| ~ m1_subset_1(sF129,sF131)
| r1_tarski(k19_filter_2(sK4,X0),sF130)
| ~ r1_tarski(X0,sF129)
| v1_xboole_0(sF129)
| v1_xboole_0(X0)
| v1_xboole_0(X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_56
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36736,f36361]) ).
fof(f36753,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF131)
| ~ m1_subset_1(sF123,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(sF124,k19_filter_2(sK4,X0))
| ~ r1_tarski(sF123,X0)
| v1_xboole_0(X0)
| v1_xboole_0(sF123)
| v1_xboole_0(X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_50
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36743,f36361]) ).
fof(f36754,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF131)
| r1_tarski(sF128,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK6,X0)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f36744,f36292]) ).
fof(f36755,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF131)
| r1_tarski(sF125,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK5,X0)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f36745,f36282]) ).
fof(f36757,definition,
( spl132_104
<=> ! [X0] :
( ~ m1_subset_1(X0,sF131)
| v1_xboole_0(X0)
| ~ r1_tarski(X0,sF129)
| r1_tarski(k19_filter_2(sK4,X0),sF130) ) ),
introduced(definition,[new_symbols(definition,[spl132_104])],[avatar_definition]) ).
fof(f36758,plain,
( ! [X0] :
( r1_tarski(k19_filter_2(sK4,X0),sF130)
| v1_xboole_0(X0)
| ~ r1_tarski(X0,sF129)
| ~ m1_subset_1(X0,sF131) )
| ~ spl132_104 ),
inference(avatar_component_clause,[],[f36757]) ).
fof(f36760,definition,
( spl132_105
<=> ! [X1] :
( ~ m1_subset_1(X1,sF131)
| v1_xboole_0(X1) ) ),
introduced(definition,[new_symbols(definition,[spl132_105])],[avatar_definition]) ).
fof(f36761,plain,
( ! [X1] :
( ~ m1_subset_1(X1,sF131)
| v1_xboole_0(X1) )
| ~ spl132_105 ),
inference(avatar_component_clause,[],[f36760]) ).
fof(f36762,plain,
( spl132_69
| ~ spl132_72
| spl132_104
| spl132_105
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_56
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f36746,f36359,f36354,f36314,f36275,f36270,f36265,f36760,f36757,f36454,f36442]) ).
fof(f36782,definition,
( spl132_110
<=> ! [X0] :
( ~ m1_subset_1(X0,sF131)
| v1_xboole_0(X0)
| ~ r1_tarski(sF123,X0)
| r1_tarski(sF124,k19_filter_2(sK4,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl132_110])],[avatar_definition]) ).
fof(f36783,plain,
( ! [X0] :
( r1_tarski(sF124,k19_filter_2(sK4,X0))
| v1_xboole_0(X0)
| ~ r1_tarski(sF123,X0)
| ~ m1_subset_1(X0,sF131) )
| ~ spl132_110 ),
inference(avatar_component_clause,[],[f36782]) ).
fof(f36784,plain,
( spl132_77
| spl132_110
| ~ spl132_80
| spl132_105
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_50
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f36753,f36359,f36324,f36314,f36275,f36270,f36265,f36760,f36488,f36782,f36476]) ).
fof(f36785,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(sF122))
| ~ m1_subset_1(X0,sF131)
| r1_tarski(sF128,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK6,X0)
| v1_xboole_0(X0)
| v1_xboole_0(X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36754,f36316]) ).
fof(f36786,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(sF122))
| ~ m1_subset_1(X0,sF131)
| r1_tarski(sF125,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK5,X0)
| v1_xboole_0(X0)
| v1_xboole_0(X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36755,f36316]) ).
fof(f36789,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(sF128,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK6,X0)
| v1_xboole_0(X0)
| v1_xboole_0(X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36785,f36361]) ).
fof(f36790,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(sF125,k19_filter_2(sK4,X0))
| ~ r1_tarski(sK5,X0)
| v1_xboole_0(X0)
| v1_xboole_0(X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_demodulation,[],[f36786,f36361]) ).
fof(f36800,definition,
( spl132_113
<=> ! [X0] :
( ~ m1_subset_1(X0,sF131)
| v1_xboole_0(X0)
| ~ r1_tarski(sK6,X0)
| r1_tarski(sF128,k19_filter_2(sK4,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl132_113])],[avatar_definition]) ).
fof(f36801,plain,
( ! [X0] :
( r1_tarski(sF128,k19_filter_2(sK4,X0))
| v1_xboole_0(X0)
| ~ r1_tarski(sK6,X0)
| ~ m1_subset_1(X0,sF131) )
| ~ spl132_113 ),
inference(avatar_component_clause,[],[f36800]) ).
fof(f36802,plain,
( spl132_113
| spl132_105
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f36789,f36359,f36344,f36314,f36295,f36290,f36275,f36270,f36265,f36760,f36800]) ).
fof(f36804,definition,
( spl132_114
<=> ! [X0] :
( ~ m1_subset_1(X0,sF131)
| v1_xboole_0(X0)
| ~ r1_tarski(sK5,X0)
| r1_tarski(sF125,k19_filter_2(sK4,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl132_114])],[avatar_definition]) ).
fof(f36805,plain,
( ! [X0] :
( r1_tarski(sF125,k19_filter_2(sK4,X0))
| v1_xboole_0(X0)
| ~ r1_tarski(sK5,X0)
| ~ m1_subset_1(X0,sF131) )
| ~ spl132_114 ),
inference(avatar_component_clause,[],[f36804]) ).
fof(f36806,plain,
( spl132_114
| spl132_105
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f36790,f36359,f36329,f36314,f36285,f36280,f36275,f36270,f36265,f36760,f36804]) ).
fof(f36808,plain,
( v1_xboole_0(sK6)
| ~ spl132_43
| ~ spl132_105 ),
inference(resolution,[],[f36761,f36292]) ).
fof(f36809,plain,
( $false
| ~ spl132_43
| spl132_44
| ~ spl132_105 ),
inference(forward_subsumption_resolution,[],[f36808,f36297]) ).
fof(f36810,plain,
( ~ spl132_43
| spl132_44
| ~ spl132_105 ),
inference(avatar_contradiction_clause,[],[f36809]) ).
fof(f36815,plain,
( r1_tarski(sF125,sF124)
| v1_xboole_0(sF123)
| ~ r1_tarski(sK5,sF123)
| ~ m1_subset_1(sF123,sF131)
| ~ spl132_50
| ~ spl132_114 ),
inference(superposition,[],[f36805,f36326]) ).
fof(f36819,definition,
( spl132_115
<=> r1_tarski(sK5,sF129) ),
introduced(definition,[new_symbols(definition,[spl132_115])],[avatar_definition]) ).
fof(f36820,plain,
( r1_tarski(sK5,sF129)
| ~ spl132_115 ),
inference(avatar_component_clause,[],[f36819]) ).
fof(f36828,definition,
( spl132_117
<=> r1_tarski(sK5,sF126) ),
introduced(definition,[new_symbols(definition,[spl132_117])],[avatar_definition]) ).
fof(f36830,plain,
( ~ r1_tarski(sK5,sF126)
| spl132_117 ),
inference(avatar_component_clause,[],[f36828]) ).
fof(f36837,definition,
( spl132_119
<=> r1_tarski(sK5,sF123) ),
introduced(definition,[new_symbols(definition,[spl132_119])],[avatar_definition]) ).
fof(f36838,plain,
( r1_tarski(sK5,sF123)
| ~ spl132_119 ),
inference(avatar_component_clause,[],[f36837]) ).
fof(f36841,definition,
( spl132_120
<=> r1_tarski(sF125,sF124) ),
introduced(definition,[new_symbols(definition,[spl132_120])],[avatar_definition]) ).
fof(f36843,plain,
( r1_tarski(sF125,sF124)
| ~ spl132_120 ),
inference(avatar_component_clause,[],[f36841]) ).
fof(f36844,plain,
( ~ spl132_80
| ~ spl132_119
| spl132_77
| spl132_120
| ~ spl132_50
| ~ spl132_114 ),
inference(avatar_split_clause,[],[f36815,f36804,f36324,f36841,f36476,f36837,f36488]) ).
fof(f36869,plain,
( r1_tarski(sF128,sF124)
| v1_xboole_0(sF123)
| ~ r1_tarski(sK6,sF123)
| ~ m1_subset_1(sF123,sF131)
| ~ spl132_50
| ~ spl132_113 ),
inference(superposition,[],[f36801,f36326]) ).
fof(f36873,definition,
( spl132_125
<=> r1_tarski(sK6,sF129) ),
introduced(definition,[new_symbols(definition,[spl132_125])],[avatar_definition]) ).
fof(f36874,plain,
( r1_tarski(sK6,sF129)
| ~ spl132_125 ),
inference(avatar_component_clause,[],[f36873]) ).
fof(f36877,definition,
( spl132_126
<=> r1_tarski(sF128,sF130) ),
introduced(definition,[new_symbols(definition,[spl132_126])],[avatar_definition]) ).
fof(f36879,plain,
( r1_tarski(sF128,sF130)
| ~ spl132_126 ),
inference(avatar_component_clause,[],[f36877]) ).
fof(f36882,definition,
( spl132_127
<=> r1_tarski(sK6,sF126) ),
introduced(definition,[new_symbols(definition,[spl132_127])],[avatar_definition]) ).
fof(f36883,plain,
( r1_tarski(sK6,sF126)
| ~ spl132_127 ),
inference(avatar_component_clause,[],[f36882]) ).
fof(f36891,definition,
( spl132_129
<=> r1_tarski(sK6,sF123) ),
introduced(definition,[new_symbols(definition,[spl132_129])],[avatar_definition]) ).
fof(f36892,plain,
( r1_tarski(sK6,sF123)
| ~ spl132_129 ),
inference(avatar_component_clause,[],[f36891]) ).
fof(f36895,definition,
( spl132_130
<=> r1_tarski(sF128,sF124) ),
introduced(definition,[new_symbols(definition,[spl132_130])],[avatar_definition]) ).
fof(f36897,plain,
( r1_tarski(sF128,sF124)
| ~ spl132_130 ),
inference(avatar_component_clause,[],[f36895]) ).
fof(f36898,plain,
( ~ spl132_80
| ~ spl132_129
| spl132_77
| spl132_130
| ~ spl132_50
| ~ spl132_113 ),
inference(avatar_split_clause,[],[f36869,f36800,f36324,f36895,f36476,f36891,f36488]) ).
fof(f36985,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF131)
| v1_xboole_0(X0)
| r1_tarski(X0,k19_filter_2(sK4,X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| ~ spl132_85 ),
inference(resolution,[],[f36519,f35997]) ).
fof(f36988,plain,
( m2_filter_2(sF125,sK4)
| ~ m1_subset_1(sK5,sF131)
| v1_xboole_0(sK5)
| ~ spl132_51
| ~ spl132_85 ),
inference(superposition,[],[f36519,f36331]) ).
fof(f36989,plain,
( m2_filter_2(sF128,sK4)
| ~ m1_subset_1(sK6,sF131)
| v1_xboole_0(sK6)
| ~ spl132_54
| ~ spl132_85 ),
inference(superposition,[],[f36519,f36346]) ).
fof(f36990,plain,
( m2_filter_2(sF124,sK4)
| ~ m1_subset_1(sF123,sF131)
| v1_xboole_0(sF123)
| ~ spl132_50
| ~ spl132_85 ),
inference(superposition,[],[f36519,f36326]) ).
fof(f36991,plain,
( m2_filter_2(sF127,sK4)
| ~ m1_subset_1(sF126,sF131)
| v1_xboole_0(sF126)
| ~ spl132_53
| ~ spl132_85 ),
inference(superposition,[],[f36519,f36341]) ).
fof(f36992,plain,
( m2_filter_2(sF130,sK4)
| ~ m1_subset_1(sF129,sF131)
| v1_xboole_0(sF129)
| ~ spl132_56
| ~ spl132_85 ),
inference(superposition,[],[f36519,f36356]) ).
fof(f36993,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF131)
| v1_xboole_0(X0)
| r1_tarski(X0,k19_filter_2(sK4,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| ~ spl132_85 ),
inference(duplicate_literal_removal,[],[f36985]) ).
fof(f36995,plain,
( spl132_73
| ~ spl132_76
| spl132_75
| ~ spl132_53
| ~ spl132_85 ),
inference(avatar_split_clause,[],[f36991,f36518,f36339,f36467,f36471,f36459]) ).
fof(f36996,plain,
( spl132_77
| ~ spl132_80
| spl132_79
| ~ spl132_50
| ~ spl132_85 ),
inference(avatar_split_clause,[],[f36990,f36518,f36324,f36484,f36488,f36476]) ).
fof(f36999,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF131)
| v1_xboole_0(X0)
| r1_tarski(X0,k19_filter_2(sK4,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| spl132_40
| ~ spl132_85 ),
inference(forward_subsumption_resolution,[],[f36993,f36277]) ).
fof(f37003,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF131)
| v1_xboole_0(X0)
| r1_tarski(X0,k19_filter_2(sK4,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ l3_lattices(sK4) )
| ~ spl132_39
| spl132_40
| ~ spl132_85 ),
inference(forward_subsumption_resolution,[],[f36999,f36272]) ).
fof(f37008,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF131)
| v1_xboole_0(X0)
| r1_tarski(X0,k19_filter_2(sK4,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_85 ),
inference(forward_subsumption_resolution,[],[f37003,f36267]) ).
fof(f37009,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| ~ m1_subset_1(X0,sF131)
| v1_xboole_0(X0)
| r1_tarski(X0,k19_filter_2(sK4,X0)) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_85 ),
inference(forward_demodulation,[],[f37008,f36316]) ).
fof(f37010,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF131)
| ~ m1_subset_1(X0,sF131)
| v1_xboole_0(X0)
| r1_tarski(X0,k19_filter_2(sK4,X0)) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57
| ~ spl132_85 ),
inference(forward_demodulation,[],[f37009,f36361]) ).
fof(f37011,plain,
( ! [X0] :
( r1_tarski(X0,k19_filter_2(sK4,X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,sF131) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57
| ~ spl132_85 ),
inference(duplicate_literal_removal,[],[f37010]) ).
fof(f37012,plain,
( m2_filter_2(sF125,sK4)
| v1_xboole_0(sK5)
| ~ spl132_41
| ~ spl132_51
| ~ spl132_85 ),
inference(forward_subsumption_resolution,[],[f36988,f36282]) ).
fof(f37013,plain,
( m2_filter_2(sF128,sK4)
| v1_xboole_0(sK6)
| ~ spl132_43
| ~ spl132_54
| ~ spl132_85 ),
inference(forward_subsumption_resolution,[],[f36989,f36292]) ).
fof(f37014,plain,
( m2_filter_2(sF125,sK4)
| ~ spl132_41
| spl132_42
| ~ spl132_51
| ~ spl132_85 ),
inference(forward_subsumption_resolution,[],[f37012,f36287]) ).
fof(f37015,plain,
( m2_filter_2(sF128,sK4)
| ~ spl132_43
| spl132_44
| ~ spl132_54
| ~ spl132_85 ),
inference(forward_subsumption_resolution,[],[f37013,f36297]) ).
fof(f37016,plain,
( spl132_84
| ~ spl132_41
| spl132_42
| ~ spl132_51
| ~ spl132_85 ),
inference(avatar_split_clause,[],[f37014,f36518,f36329,f36285,f36280,f36510]) ).
fof(f37017,plain,
( spl132_82
| ~ spl132_43
| spl132_44
| ~ spl132_54
| ~ spl132_85 ),
inference(avatar_split_clause,[],[f37015,f36518,f36344,f36295,f36290,f36501]) ).
fof(f37029,definition,
( spl132_148
<=> r1_tarski(sK5,sF128) ),
introduced(definition,[new_symbols(definition,[spl132_148])],[avatar_definition]) ).
fof(f37031,plain,
( ~ r1_tarski(sK5,sF128)
| spl132_148 ),
inference(avatar_component_clause,[],[f37029]) ).
fof(f37048,plain,
( ! [X0] :
( r1_filter_2(sF122,X0,k19_filter_2(sK4,X0))
| v1_xboole_0(sF122)
| ~ m1_subset_1(k19_filter_2(sK4,X0),k1_zfmisc_1(sF122))
| ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| ~ m2_filter_2(X0,sK4) )
| ~ spl132_68 ),
inference(resolution,[],[f35402,f36419]) ).
fof(f37049,plain,
( ! [X0] :
( ~ m1_subset_1(k19_filter_2(sK4,X0),sF131)
| r1_filter_2(sF122,X0,k19_filter_2(sK4,X0))
| v1_xboole_0(sF122)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| ~ m2_filter_2(X0,sK4) )
| ~ spl132_57
| ~ spl132_68 ),
inference(forward_demodulation,[],[f37048,f36361]) ).
fof(f37050,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF131)
| ~ m1_subset_1(k19_filter_2(sK4,X0),sF131)
| r1_filter_2(sF122,X0,k19_filter_2(sK4,X0))
| v1_xboole_0(sF122)
| ~ m2_filter_2(X0,sK4) )
| ~ spl132_57
| ~ spl132_68 ),
inference(forward_demodulation,[],[f37049,f36361]) ).
fof(f37052,definition,
( spl132_149
<=> ! [X0] :
( ~ m1_subset_1(X0,sF131)
| ~ m2_filter_2(X0,sK4)
| r1_filter_2(sF122,X0,k19_filter_2(sK4,X0))
| ~ m1_subset_1(k19_filter_2(sK4,X0),sF131) ) ),
introduced(definition,[new_symbols(definition,[spl132_149])],[avatar_definition]) ).
fof(f37053,plain,
( ! [X0] :
( r1_filter_2(sF122,X0,k19_filter_2(sK4,X0))
| ~ m2_filter_2(X0,sK4)
| ~ m1_subset_1(X0,sF131)
| ~ m1_subset_1(k19_filter_2(sK4,X0),sF131) )
| ~ spl132_149 ),
inference(avatar_component_clause,[],[f37052]) ).
fof(f37054,plain,
( spl132_91
| spl132_149
| ~ spl132_57
| ~ spl132_68 ),
inference(avatar_split_clause,[],[f37050,f36418,f36359,f37052,f36553]) ).
fof(f37055,plain,
( v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ r1_tarski(sK6,u1_struct_0(sK4))
| r1_tarski(sF128,u1_struct_0(sK4))
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(resolution,[],[f35537,f36585]) ).
fof(f37056,plain,
( v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ r1_tarski(sK5,u1_struct_0(sK4))
| r1_tarski(sF125,u1_struct_0(sK4))
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(resolution,[],[f35537,f36586]) ).
fof(f37057,plain,
( m2_filter_2(sF122,sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ spl132_48 ),
inference(superposition,[],[f35537,f36316]) ).
fof(f37058,plain,
( m2_filter_2(sF122,sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| spl132_40
| ~ spl132_48 ),
inference(forward_subsumption_resolution,[],[f37057,f36277]) ).
fof(f37059,plain,
( ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ r1_tarski(sK5,u1_struct_0(sK4))
| r1_tarski(sF125,u1_struct_0(sK4))
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f37056,f36277]) ).
fof(f37060,plain,
( ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ r1_tarski(sK6,u1_struct_0(sK4))
| r1_tarski(sF128,u1_struct_0(sK4))
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f37055,f36277]) ).
fof(f37061,plain,
( m2_filter_2(sF122,sK4)
| ~ l3_lattices(sK4)
| ~ spl132_39
| spl132_40
| ~ spl132_48 ),
inference(forward_subsumption_resolution,[],[f37058,f36272]) ).
fof(f37062,plain,
( ~ l3_lattices(sK4)
| ~ r1_tarski(sK5,u1_struct_0(sK4))
| r1_tarski(sF125,u1_struct_0(sK4))
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f37059,f36272]) ).
fof(f37063,plain,
( ~ l3_lattices(sK4)
| ~ r1_tarski(sK6,u1_struct_0(sK4))
| r1_tarski(sF128,u1_struct_0(sK4))
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f37060,f36272]) ).
fof(f37064,plain,
( m2_filter_2(sF122,sK4)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48 ),
inference(forward_subsumption_resolution,[],[f37061,f36267]) ).
fof(f37065,plain,
( ~ r1_tarski(sK5,u1_struct_0(sK4))
| r1_tarski(sF125,u1_struct_0(sK4))
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f37062,f36267]) ).
fof(f37066,plain,
( ~ r1_tarski(sK6,u1_struct_0(sK4))
| r1_tarski(sF128,u1_struct_0(sK4))
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f37063,f36267]) ).
fof(f37068,definition,
( spl132_150
<=> m2_filter_2(sF122,sK4) ),
introduced(definition,[new_symbols(definition,[spl132_150])],[avatar_definition]) ).
fof(f37070,plain,
( m2_filter_2(sF122,sK4)
| ~ spl132_150 ),
inference(avatar_component_clause,[],[f37068]) ).
fof(f37071,plain,
( spl132_150
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48 ),
inference(avatar_split_clause,[],[f37064,f36314,f36275,f36270,f36265,f37068]) ).
fof(f37072,plain,
( ~ r1_tarski(sK5,sF122)
| r1_tarski(sF125,u1_struct_0(sK4))
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37065,f36316]) ).
fof(f37073,plain,
( ~ r1_tarski(sK6,sF122)
| r1_tarski(sF128,u1_struct_0(sK4))
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37066,f36316]) ).
fof(f37074,plain,
( r1_tarski(sF125,sF122)
| ~ r1_tarski(sK5,sF122)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37072,f36316]) ).
fof(f37075,plain,
( r1_tarski(sF128,sF122)
| ~ r1_tarski(sK6,sF122)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37073,f36316]) ).
fof(f37077,definition,
( spl132_151
<=> r1_tarski(sK5,sF122) ),
introduced(definition,[new_symbols(definition,[spl132_151])],[avatar_definition]) ).
fof(f37078,plain,
( r1_tarski(sK5,sF122)
| ~ spl132_151 ),
inference(avatar_component_clause,[],[f37077]) ).
fof(f37081,definition,
( spl132_152
<=> r1_tarski(sF125,sF122) ),
introduced(definition,[new_symbols(definition,[spl132_152])],[avatar_definition]) ).
fof(f37083,plain,
( r1_tarski(sF125,sF122)
| ~ spl132_152 ),
inference(avatar_component_clause,[],[f37081]) ).
fof(f37084,plain,
( ~ spl132_151
| spl132_152
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f37074,f36359,f36329,f36314,f36285,f36280,f36275,f36270,f36265,f37081,f37077]) ).
fof(f37086,definition,
( spl132_153
<=> r1_tarski(sK6,sF122) ),
introduced(definition,[new_symbols(definition,[spl132_153])],[avatar_definition]) ).
fof(f37090,definition,
( spl132_154
<=> r1_tarski(sF128,sF122) ),
introduced(definition,[new_symbols(definition,[spl132_154])],[avatar_definition]) ).
fof(f37092,plain,
( r1_tarski(sF128,sF122)
| ~ spl132_154 ),
inference(avatar_component_clause,[],[f37090]) ).
fof(f37093,plain,
( ~ spl132_153
| spl132_154
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f37075,f36359,f36344,f36314,f36295,f36290,f36275,f36270,f36265,f37090,f37086]) ).
fof(f37114,plain,
( ! [X0] :
( ~ r1_tarski(k19_filter_2(sK4,X0),sF125)
| sF125 = k19_filter_2(sK4,X0)
| v1_xboole_0(X0)
| ~ r1_tarski(sK5,X0)
| ~ m1_subset_1(X0,sF131) )
| ~ spl132_114 ),
inference(resolution,[],[f35532,f36805]) ).
fof(f37116,plain,
( ! [X0] :
( ~ r1_tarski(k19_filter_2(sK4,X0),sF128)
| sF128 = k19_filter_2(sK4,X0)
| v1_xboole_0(X0)
| ~ r1_tarski(sK6,X0)
| ~ m1_subset_1(X0,sF131) )
| ~ spl132_113 ),
inference(resolution,[],[f35532,f36801]) ).
fof(f37146,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF131)
| r1_tarski(X0,sF122) )
| ~ spl132_57 ),
inference(superposition,[],[f35517,f36361]) ).
fof(f37147,plain,
( r1_tarski(sK5,sF122)
| ~ spl132_41
| ~ spl132_57 ),
inference(resolution,[],[f37146,f36282]) ).
fof(f37148,plain,
( r1_tarski(sK6,sF122)
| ~ spl132_43
| ~ spl132_57 ),
inference(resolution,[],[f37146,f36292]) ).
fof(f37153,plain,
( spl132_153
| ~ spl132_43
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f37148,f36359,f36290,f37086]) ).
fof(f37154,plain,
( spl132_151
| ~ spl132_41
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f37147,f36359,f36280,f37077]) ).
fof(f37202,plain,
( m1_subset_1(sF123,k1_zfmisc_1(sF122))
| ~ m1_subset_1(sK5,k1_zfmisc_1(sF122))
| ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ spl132_49 ),
inference(superposition,[],[f35388,f36321]) ).
fof(f37204,plain,
( m1_subset_1(sF126,k1_zfmisc_1(sF122))
| ~ m1_subset_1(sF125,k1_zfmisc_1(sF122))
| ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ spl132_52 ),
inference(superposition,[],[f35388,f36336]) ).
fof(f37206,plain,
( ! [X0,X1] :
( m1_subset_1(k4_subset_1(sF122,X0,X1),sF131)
| ~ m1_subset_1(X0,sF131)
| ~ m1_subset_1(X1,sF131) )
| ~ spl132_57 ),
inference(superposition,[],[f35388,f36361]) ).
fof(f37208,plain,
( m1_subset_1(sF126,sF131)
| ~ m1_subset_1(sF125,k1_zfmisc_1(sF122))
| ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ spl132_52
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37204,f36361]) ).
fof(f37210,plain,
( m1_subset_1(sF123,sF131)
| ~ m1_subset_1(sK5,k1_zfmisc_1(sF122))
| ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ spl132_49
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37202,f36361]) ).
fof(f37211,plain,
( ~ m1_subset_1(sF125,sF131)
| m1_subset_1(sF126,sF131)
| ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ spl132_52
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37208,f36361]) ).
fof(f37213,plain,
( ~ m1_subset_1(sK5,sF131)
| m1_subset_1(sF123,sF131)
| ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ spl132_49
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37210,f36361]) ).
fof(f37215,plain,
( m1_subset_1(sF123,sF131)
| ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ spl132_41
| ~ spl132_49
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f37213,f36282]) ).
fof(f37217,plain,
( ~ m1_subset_1(sK6,sF131)
| m1_subset_1(sF123,sF131)
| ~ spl132_41
| ~ spl132_49
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37215,f36361]) ).
fof(f37218,plain,
( m1_subset_1(sF123,sF131)
| ~ spl132_41
| ~ spl132_43
| ~ spl132_49
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f37217,f36292]) ).
fof(f37219,plain,
( spl132_80
| ~ spl132_41
| ~ spl132_43
| ~ spl132_49
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f37218,f36359,f36319,f36290,f36280,f36488]) ).
fof(f37220,plain,
( r1_tarski(sF123,sF122)
| ~ spl132_57
| ~ spl132_80 ),
inference(resolution,[],[f36489,f37146]) ).
fof(f37229,definition,
( spl132_169
<=> r1_tarski(sF123,sF122) ),
introduced(definition,[new_symbols(definition,[spl132_169])],[avatar_definition]) ).
fof(f37231,plain,
( r1_tarski(sF123,sF122)
| ~ spl132_169 ),
inference(avatar_component_clause,[],[f37229]) ).
fof(f37232,plain,
( spl132_169
| ~ spl132_57
| ~ spl132_80 ),
inference(avatar_split_clause,[],[f37220,f36488,f36359,f37229]) ).
fof(f37264,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK5)
| r2_hidden(X0,sF125) )
| ~ spl132_83 ),
inference(resolution,[],[f35534,f36508]) ).
fof(f37266,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK6)
| r2_hidden(X0,sF128) )
| ~ spl132_81 ),
inference(resolution,[],[f35534,f36499]) ).
fof(f37271,plain,
( ! [X0,X1] :
( r2_hidden(X0,k19_filter_2(sK4,X1))
| ~ r2_hidden(X0,sF128)
| v1_xboole_0(X1)
| ~ r1_tarski(sK6,X1)
| ~ m1_subset_1(X1,sF131) )
| ~ spl132_113 ),
inference(resolution,[],[f35534,f36801]) ).
fof(f37275,plain,
( ! [X0] :
( r2_hidden(sK31(sK6,X0),sF128)
| r1_tarski(sK6,X0) )
| ~ spl132_81 ),
inference(resolution,[],[f37266,f35535]) ).
fof(f37277,plain,
( ! [X0] :
( r2_hidden(sK31(sK5,X0),sF125)
| r1_tarski(sK5,X0) )
| ~ spl132_83 ),
inference(resolution,[],[f37264,f35535]) ).
fof(f37425,plain,
( ! [X0] :
( r2_hidden(X0,sF124)
| ~ r2_hidden(X0,sF128)
| v1_xboole_0(sF123)
| ~ r1_tarski(sK6,sF123)
| ~ m1_subset_1(sF123,sF131) )
| ~ spl132_50
| ~ spl132_113 ),
inference(superposition,[],[f37271,f36326]) ).
fof(f37616,definition,
( spl132_193
<=> v1_xboole_0(sF125) ),
introduced(definition,[new_symbols(definition,[spl132_193])],[avatar_definition]) ).
fof(f37633,definition,
( spl132_196
<=> v1_xboole_0(sF128) ),
introduced(definition,[new_symbols(definition,[spl132_196])],[avatar_definition]) ).
fof(f37667,plain,
! [X2,X3,X0,X1] :
( r1_tarski(X0,sK20(X2,X1,X3))
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X3)
| k19_filter_2(X2,X1) = X3
| ~ m2_filter_2(X3,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(resolution,[],[f35529,f35409]) ).
fof(f37670,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
| r1_tarski(X0,k19_filter_2(X1,X3))
| ~ r1_tarski(X2,X3)
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v1_xboole_0(X4)
| ~ r1_tarski(X0,k19_filter_2(X1,X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(resolution,[],[f35529,f35404]) ).
fof(f37677,plain,
( ! [X0,X1] :
( r1_tarski(X0,k19_filter_2(sK4,X1))
| ~ r1_tarski(X0,sF125)
| v1_xboole_0(X1)
| ~ r1_tarski(sK5,X1)
| ~ m1_subset_1(X1,sF131) )
| ~ spl132_114 ),
inference(resolution,[],[f35529,f36805]) ).
fof(f37680,plain,
( ! [X0,X1] :
( r1_tarski(X0,k19_filter_2(sK4,X1))
| ~ r1_tarski(X0,sF128)
| v1_xboole_0(X1)
| ~ r1_tarski(sK6,X1)
| ~ m1_subset_1(X1,sF131) )
| ~ spl132_113 ),
inference(resolution,[],[f35529,f36801]) ).
fof(f37807,plain,
( ! [X0] :
( ~ r1_tarski(X0,sF122)
| m1_subset_1(X0,sF131) )
| ~ spl132_57 ),
inference(superposition,[],[f35518,f36361]) ).
fof(f37856,plain,
( ! [X0,X1] :
( r1_tarski(k19_filter_2(sK4,sF125),sF125)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| ~ spl132_51 ),
inference(superposition,[],[f35403,f36331]) ).
fof(f37857,plain,
( ! [X0,X1] :
( r1_tarski(k19_filter_2(sK4,sF128),sF128)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(sK6)
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| ~ spl132_54 ),
inference(superposition,[],[f35403,f36346]) ).
fof(f37866,plain,
( ! [X0,X1] :
( r1_tarski(k19_filter_2(sK4,sF128),sF128)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| spl132_44
| ~ spl132_54 ),
inference(forward_subsumption_resolution,[],[f37857,f36297]) ).
fof(f37867,plain,
( ! [X0,X1] :
( r1_tarski(k19_filter_2(sK4,sF125),sF125)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| spl132_42
| ~ spl132_51 ),
inference(forward_subsumption_resolution,[],[f37856,f36287]) ).
fof(f37872,plain,
( ! [X0,X1] :
( r1_tarski(k19_filter_2(sK4,sF128),sF128)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| spl132_40
| spl132_44
| ~ spl132_54 ),
inference(forward_subsumption_resolution,[],[f37866,f36277]) ).
fof(f37873,plain,
( ! [X0,X1] :
( r1_tarski(k19_filter_2(sK4,sF125),sF125)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| spl132_40
| spl132_42
| ~ spl132_51 ),
inference(forward_subsumption_resolution,[],[f37867,f36277]) ).
fof(f37878,plain,
( ! [X0,X1] :
( r1_tarski(k19_filter_2(sK4,sF128),sF128)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ l3_lattices(sK4) )
| ~ spl132_39
| spl132_40
| spl132_44
| ~ spl132_54 ),
inference(forward_subsumption_resolution,[],[f37872,f36272]) ).
fof(f37879,plain,
( ! [X0,X1] :
( r1_tarski(k19_filter_2(sK4,sF125),sF125)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ l3_lattices(sK4) )
| ~ spl132_39
| spl132_40
| spl132_42
| ~ spl132_51 ),
inference(forward_subsumption_resolution,[],[f37873,f36272]) ).
fof(f37884,plain,
( ! [X0,X1] :
( r1_tarski(k19_filter_2(sK4,sF128),sF128)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_44
| ~ spl132_54 ),
inference(forward_subsumption_resolution,[],[f37878,f36267]) ).
fof(f37885,plain,
( ! [X0,X1] :
( r1_tarski(k19_filter_2(sK4,sF125),sF125)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK4)))
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_42
| ~ spl132_51 ),
inference(forward_subsumption_resolution,[],[f37879,f36267]) ).
fof(f37890,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| r1_tarski(k19_filter_2(sK4,sF128),sF128)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_44
| ~ spl132_48
| ~ spl132_54 ),
inference(forward_demodulation,[],[f37884,f36316]) ).
fof(f37891,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| r1_tarski(k19_filter_2(sK4,sF125),sF125)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_42
| ~ spl132_48
| ~ spl132_51 ),
inference(forward_demodulation,[],[f37885,f36316]) ).
fof(f37896,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF131)
| r1_tarski(k19_filter_2(sK4,sF128),sF128)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37890,f36361]) ).
fof(f37897,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF131)
| r1_tarski(k19_filter_2(sK4,sF125),sF125)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37891,f36361]) ).
fof(f37902,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(sF122))
| ~ m1_subset_1(X0,sF131)
| r1_tarski(k19_filter_2(sK4,sF128),sF128)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37896,f36316]) ).
fof(f37903,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(sF122))
| ~ m1_subset_1(X0,sF131)
| r1_tarski(k19_filter_2(sK4,sF125),sF125)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37897,f36316]) ).
fof(f37908,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(k19_filter_2(sK4,sF128),sF128)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37902,f36361]) ).
fof(f37909,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(k19_filter_2(sK4,sF125),sF125)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4))) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37903,f36361]) ).
fof(f37914,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ m1_subset_1(X1,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(k19_filter_2(sK4,sF128),sF128)
| v1_xboole_0(X0)
| v1_xboole_0(X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37908,f36316]) ).
fof(f37915,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK5,k1_zfmisc_1(sF122))
| ~ m1_subset_1(X1,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(k19_filter_2(sK4,sF125),sF125)
| v1_xboole_0(X0)
| v1_xboole_0(X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37909,f36316]) ).
fof(f37920,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK6,sF131)
| ~ m1_subset_1(X1,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(k19_filter_2(sK4,sF128),sF128)
| v1_xboole_0(X0)
| v1_xboole_0(X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37914,f36361]) ).
fof(f37921,plain,
( ! [X0,X1] :
( ~ m1_subset_1(sK5,sF131)
| ~ m1_subset_1(X1,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(k19_filter_2(sK4,sF125),sF125)
| v1_xboole_0(X0)
| v1_xboole_0(X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37915,f36361]) ).
fof(f37930,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(k19_filter_2(sK4,sF128),sF128)
| v1_xboole_0(X0)
| v1_xboole_0(X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f37920,f36292]) ).
fof(f37931,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X1,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(k19_filter_2(sK4,sF125),sF125)
| v1_xboole_0(X0)
| v1_xboole_0(X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f37921,f36282]) ).
fof(f37933,definition,
( spl132_213
<=> r1_tarski(k19_filter_2(sK4,sF128),sF128) ),
introduced(definition,[new_symbols(definition,[spl132_213])],[avatar_definition]) ).
fof(f37935,plain,
( r1_tarski(k19_filter_2(sK4,sF128),sF128)
| ~ spl132_213 ),
inference(avatar_component_clause,[],[f37933]) ).
fof(f37936,plain,
( spl132_213
| spl132_105
| spl132_105
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f37930,f36359,f36344,f36314,f36295,f36290,f36275,f36270,f36265,f36760,f36760,f37933]) ).
fof(f37938,definition,
( spl132_214
<=> r1_tarski(k19_filter_2(sK4,sF125),sF125) ),
introduced(definition,[new_symbols(definition,[spl132_214])],[avatar_definition]) ).
fof(f37940,plain,
( r1_tarski(k19_filter_2(sK4,sF125),sF125)
| ~ spl132_214 ),
inference(avatar_component_clause,[],[f37938]) ).
fof(f37941,plain,
( spl132_214
| spl132_105
| spl132_105
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f37931,f36359,f36329,f36314,f36285,f36280,f36275,f36270,f36265,f36760,f36760,f37938]) ).
fof(f37947,definition,
( spl132_215
<=> sF125 = k19_filter_2(sK4,sF125) ),
introduced(definition,[new_symbols(definition,[spl132_215])],[avatar_definition]) ).
fof(f37949,plain,
( sF125 = k19_filter_2(sK4,sF125)
| ~ spl132_215 ),
inference(avatar_component_clause,[],[f37947]) ).
fof(f37960,definition,
( spl132_217
<=> sF128 = k19_filter_2(sK4,sF128) ),
introduced(definition,[new_symbols(definition,[spl132_217])],[avatar_definition]) ).
fof(f37962,plain,
( sF128 = k19_filter_2(sK4,sF128)
| ~ spl132_217 ),
inference(avatar_component_clause,[],[f37960]) ).
fof(f38021,plain,
! [X2,X0,X1] :
( k2_xboole_0(X0,X1) = k4_subset_1(X2,X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(superposition,[],[f35387,f35385]) ).
fof(f38032,plain,
! [X2,X0,X1] :
( k2_xboole_0(X0,X1) = k4_subset_1(X2,X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2)) ),
inference(duplicate_literal_removal,[],[f38021]) ).
fof(f38043,plain,
( sF129 = k2_xboole_0(sF128,sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(sF122))
| ~ m1_subset_1(sF128,k1_zfmisc_1(sF122))
| ~ spl132_55 ),
inference(superposition,[],[f38032,f36351]) ).
fof(f38044,plain,
( sF126 = k2_xboole_0(sK6,sF125)
| ~ m1_subset_1(sF125,k1_zfmisc_1(sF122))
| ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ spl132_52 ),
inference(superposition,[],[f38032,f36336]) ).
fof(f38048,plain,
( sF123 = k2_xboole_0(sK6,sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(sF122))
| ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ spl132_49 ),
inference(superposition,[],[f36321,f38032]) ).
fof(f38064,plain,
( ~ m1_subset_1(sK5,sF131)
| sF123 = k2_xboole_0(sK6,sK5)
| ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ spl132_49
| ~ spl132_57 ),
inference(forward_demodulation,[],[f38048,f36361]) ).
fof(f38065,plain,
( ~ m1_subset_1(sF125,sF131)
| sF126 = k2_xboole_0(sK6,sF125)
| ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ spl132_52
| ~ spl132_57 ),
inference(forward_demodulation,[],[f38044,f36361]) ).
fof(f38066,plain,
( ~ m1_subset_1(sK5,sF131)
| sF129 = k2_xboole_0(sF128,sK5)
| ~ m1_subset_1(sF128,k1_zfmisc_1(sF122))
| ~ spl132_55
| ~ spl132_57 ),
inference(forward_demodulation,[],[f38043,f36361]) ).
fof(f38069,plain,
( sF123 = k2_xboole_0(sK6,sK5)
| ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ spl132_41
| ~ spl132_49
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f38064,f36282]) ).
fof(f38070,plain,
( sF129 = k2_xboole_0(sF128,sK5)
| ~ m1_subset_1(sF128,k1_zfmisc_1(sF122))
| ~ spl132_41
| ~ spl132_55
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f38066,f36282]) ).
fof(f38073,plain,
( ~ m1_subset_1(sK6,sF131)
| sF123 = k2_xboole_0(sK6,sK5)
| ~ spl132_41
| ~ spl132_49
| ~ spl132_57 ),
inference(forward_demodulation,[],[f38069,f36361]) ).
fof(f38074,plain,
( ~ m1_subset_1(sF128,sF131)
| sF129 = k2_xboole_0(sF128,sK5)
| ~ spl132_41
| ~ spl132_55
| ~ spl132_57 ),
inference(forward_demodulation,[],[f38070,f36361]) ).
fof(f38076,plain,
( sF123 = k2_xboole_0(sK6,sK5)
| ~ spl132_41
| ~ spl132_43
| ~ spl132_49
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f38073,f36292]) ).
fof(f38079,definition,
( spl132_227
<=> sF123 = k2_xboole_0(sK6,sK5) ),
introduced(definition,[new_symbols(definition,[spl132_227])],[avatar_definition]) ).
fof(f38081,plain,
( sF123 = k2_xboole_0(sK6,sK5)
| ~ spl132_227 ),
inference(avatar_component_clause,[],[f38079]) ).
fof(f38082,plain,
( spl132_227
| ~ spl132_41
| ~ spl132_43
| ~ spl132_49
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f38076,f36359,f36319,f36290,f36280,f38079]) ).
fof(f38125,plain,
( ! [X0] :
( r1_tarski(X0,sF124)
| ~ r1_tarski(X0,sF125)
| v1_xboole_0(sF123)
| ~ r1_tarski(sK5,sF123)
| ~ m1_subset_1(sF123,sF131) )
| ~ spl132_50
| ~ spl132_114 ),
inference(superposition,[],[f37677,f36326]) ).
fof(f38127,plain,
( ! [X0] :
( r1_tarski(X0,sF130)
| ~ r1_tarski(X0,sF125)
| v1_xboole_0(sF129)
| ~ r1_tarski(sK5,sF129)
| ~ m1_subset_1(sF129,sF131) )
| ~ spl132_56
| ~ spl132_114 ),
inference(superposition,[],[f37677,f36356]) ).
fof(f38144,plain,
( ! [X0] :
( r1_tarski(X0,sF124)
| ~ r1_tarski(X0,sF128)
| v1_xboole_0(sF123)
| ~ r1_tarski(sK6,sF123)
| ~ m1_subset_1(sF123,sF131) )
| ~ spl132_50
| ~ spl132_113 ),
inference(superposition,[],[f37680,f36326]) ).
fof(f38145,plain,
( ! [X0] :
( r1_tarski(X0,sF127)
| ~ r1_tarski(X0,sF128)
| v1_xboole_0(sF126)
| ~ r1_tarski(sK6,sF126)
| ~ m1_subset_1(sF126,sF131) )
| ~ spl132_53
| ~ spl132_113 ),
inference(superposition,[],[f37680,f36341]) ).
fof(f38377,plain,
( m1_subset_1(sF129,sF131)
| ~ m1_subset_1(sK5,sF131)
| ~ m1_subset_1(sF128,sF131)
| ~ spl132_55
| ~ spl132_57 ),
inference(superposition,[],[f37206,f36351]) ).
fof(f38629,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF131)
| ~ r2_hidden(X1,X0)
| ~ v1_xboole_0(sF122) )
| ~ spl132_57 ),
inference(superposition,[],[f35370,f36361]) ).
fof(f38630,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,sF131)
| ~ r2_hidden(X1,X0) )
| ~ spl132_57
| ~ spl132_91 ),
inference(forward_subsumption_resolution,[],[f38629,f36555]) ).
fof(f38632,plain,
( ! [X0] : ~ r2_hidden(X0,sK5)
| ~ spl132_41
| ~ spl132_57
| ~ spl132_91 ),
inference(resolution,[],[f38630,f36282]) ).
fof(f38663,plain,
( ! [X0] : r1_tarski(sK5,X0)
| ~ spl132_41
| ~ spl132_57
| ~ spl132_91 ),
inference(resolution,[],[f38632,f35535]) ).
fof(f38730,plain,
( $false
| ~ spl132_41
| ~ spl132_57
| ~ spl132_91
| spl132_148 ),
inference(resolution,[],[f38663,f37031]) ).
fof(f38731,plain,
( ~ spl132_41
| ~ spl132_57
| ~ spl132_91
| spl132_148 ),
inference(avatar_contradiction_clause,[],[f38730]) ).
fof(f40136,plain,
( ! [X0] :
( ~ r1_tarski(sK6,X0)
| ~ r1_tarski(sK5,X0)
| r1_tarski(sF123,X0) )
| ~ spl132_100 ),
inference(superposition,[],[f35484,f36636]) ).
fof(f40220,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0)
| k19_filter_2(X2,X1) = X0
| ~ m2_filter_2(X0,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ r1_tarski(X1,X0)
| k19_filter_2(X2,X1) = X0
| ~ m2_filter_2(X0,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(resolution,[],[f37667,f35410]) ).
fof(f40225,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r1_tarski(X1,X0)
| k19_filter_2(X2,X1) = X0
| ~ m2_filter_2(X0,X2)
| v1_xboole_0(X1)
| ~ r1_tarski(X0,X1)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(duplicate_literal_removal,[],[f40220]) ).
fof(f40684,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| r1_tarski(X1,k19_filter_2(sK4,X2))
| ~ r1_tarski(X3,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(sF122))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(sF122))
| v1_xboole_0(X0)
| ~ r1_tarski(X1,k19_filter_2(sK4,X3))
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| ~ spl132_48 ),
inference(superposition,[],[f37670,f36316]) ).
fof(f40685,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| r1_tarski(X1,k19_filter_2(sK4,X2))
| ~ r1_tarski(X3,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(sF122))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(sF122))
| v1_xboole_0(X0)
| ~ r1_tarski(X1,k19_filter_2(sK4,X3))
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| spl132_40
| ~ spl132_48 ),
inference(forward_subsumption_resolution,[],[f40684,f36277]) ).
fof(f40686,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| r1_tarski(X1,k19_filter_2(sK4,X2))
| ~ r1_tarski(X3,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(sF122))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(sF122))
| v1_xboole_0(X0)
| ~ r1_tarski(X1,k19_filter_2(sK4,X3))
| ~ l3_lattices(sK4) )
| ~ spl132_39
| spl132_40
| ~ spl132_48 ),
inference(forward_subsumption_resolution,[],[f40685,f36272]) ).
fof(f40687,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| r1_tarski(X1,k19_filter_2(sK4,X2))
| ~ r1_tarski(X3,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(sF122))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(sF122))
| v1_xboole_0(X0)
| ~ r1_tarski(X1,k19_filter_2(sK4,X3)) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48 ),
inference(forward_subsumption_resolution,[],[f40686,f36267]) ).
fof(f40688,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X0,sF131)
| r1_tarski(X1,k19_filter_2(sK4,X2))
| ~ r1_tarski(X3,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(sF122))
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(sF122))
| v1_xboole_0(X0)
| ~ r1_tarski(X1,k19_filter_2(sK4,X3)) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57 ),
inference(forward_demodulation,[],[f40687,f36361]) ).
fof(f40689,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(X1,k19_filter_2(sK4,X2))
| ~ r1_tarski(X3,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(sF122))
| v1_xboole_0(X0)
| ~ r1_tarski(X1,k19_filter_2(sK4,X3)) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57 ),
inference(forward_demodulation,[],[f40688,f36361]) ).
fof(f40690,plain,
( ! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,sF131)
| ~ m1_subset_1(X2,sF131)
| ~ m1_subset_1(X0,sF131)
| r1_tarski(X1,k19_filter_2(sK4,X2))
| ~ r1_tarski(X3,X2)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,k19_filter_2(sK4,X3)) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57 ),
inference(forward_demodulation,[],[f40689,f36361]) ).
fof(f40692,definition,
( spl132_332
<=> ! [X2,X1,X3] :
( ~ m1_subset_1(X3,sF131)
| ~ r1_tarski(X1,k19_filter_2(sK4,X3))
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| ~ r1_tarski(X3,X2)
| r1_tarski(X1,k19_filter_2(sK4,X2))
| ~ m1_subset_1(X2,sF131) ) ),
introduced(definition,[new_symbols(definition,[spl132_332])],[avatar_definition]) ).
fof(f40693,plain,
( ! [X2,X3,X1] :
( ~ r1_tarski(X1,k19_filter_2(sK4,X3))
| ~ m1_subset_1(X3,sF131)
| v1_xboole_0(X3)
| v1_xboole_0(X2)
| ~ r1_tarski(X3,X2)
| r1_tarski(X1,k19_filter_2(sK4,X2))
| ~ m1_subset_1(X2,sF131) )
| ~ spl132_332 ),
inference(avatar_component_clause,[],[f40692]) ).
fof(f40694,plain,
( spl132_105
| spl132_332
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f40690,f36359,f36314,f36275,f36270,f36265,f40692,f36760]) ).
fof(f40848,plain,
( sF125 = k19_filter_2(sK4,sF125)
| v1_xboole_0(sF125)
| ~ r1_tarski(sK5,sF125)
| ~ m1_subset_1(sF125,sF131)
| ~ spl132_114
| ~ spl132_214 ),
inference(resolution,[],[f37114,f37940]) ).
fof(f40867,plain,
( sF128 = k19_filter_2(sK4,sF128)
| v1_xboole_0(sF128)
| ~ r1_tarski(sK6,sF128)
| ~ m1_subset_1(sF128,sF131)
| ~ spl132_113
| ~ spl132_213 ),
inference(resolution,[],[f37116,f37935]) ).
fof(f41149,plain,
( ! [X0] :
( m1_subset_1(k19_filter_2(sK4,X0),sF131)
| ~ r1_tarski(X0,sF122)
| ~ m2_filter_2(sF122,sK4)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,sF131) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57 ),
inference(resolution,[],[f37807,f36565]) ).
fof(f41153,plain,
( m1_subset_1(sF125,sF131)
| ~ spl132_57
| ~ spl132_152 ),
inference(resolution,[],[f37807,f37083]) ).
fof(f41154,plain,
( m1_subset_1(sF128,sF131)
| ~ spl132_57
| ~ spl132_154 ),
inference(resolution,[],[f37807,f37092]) ).
fof(f41159,plain,
( ! [X0] :
( m1_subset_1(k19_filter_2(sK4,X0),sF131)
| ~ r1_tarski(X0,sF122)
| ~ m2_filter_2(sF122,sK4)
| v1_xboole_0(X0) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f41149,f37807]) ).
fof(f41162,plain,
( ! [X0] :
( m1_subset_1(k19_filter_2(sK4,X0),sF131)
| ~ r1_tarski(X0,sF122)
| v1_xboole_0(X0) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57
| ~ spl132_150 ),
inference(forward_subsumption_resolution,[],[f41159,f37070]) ).
fof(f41182,definition,
( spl132_351
<=> sF129 = k2_xboole_0(sF128,sK5) ),
introduced(definition,[new_symbols(definition,[spl132_351])],[avatar_definition]) ).
fof(f41184,plain,
( sF129 = k2_xboole_0(sF128,sK5)
| ~ spl132_351 ),
inference(avatar_component_clause,[],[f41182]) ).
fof(f41186,plain,
( spl132_351
| ~ spl132_99
| ~ spl132_41
| ~ spl132_55
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f38074,f36359,f36349,f36280,f36625,f41182]) ).
fof(f41237,plain,
( sF128 = k19_filter_2(sK4,sF128)
| v1_xboole_0(sF128)
| ~ m1_subset_1(sF128,sF131)
| ~ spl132_81
| ~ spl132_113
| ~ spl132_213 ),
inference(forward_subsumption_resolution,[],[f40867,f36499]) ).
fof(f41238,plain,
( spl132_99
| ~ spl132_57
| ~ spl132_154 ),
inference(avatar_split_clause,[],[f41154,f37090,f36359,f36625]) ).
fof(f41246,plain,
( sF126 = k2_xboole_0(sF125,sK6)
| ~ m1_subset_1(sF125,sF131)
| ~ m1_subset_1(sK6,k1_zfmisc_1(sF122))
| ~ spl132_52
| ~ spl132_57 ),
inference(forward_demodulation,[],[f38065,f35491]) ).
fof(f41296,plain,
( sF125 = k19_filter_2(sK4,sF125)
| v1_xboole_0(sF125)
| ~ m1_subset_1(sF125,sF131)
| ~ spl132_83
| ~ spl132_114
| ~ spl132_214 ),
inference(forward_subsumption_resolution,[],[f40848,f36508]) ).
fof(f41297,plain,
( spl132_97
| ~ spl132_57
| ~ spl132_152 ),
inference(avatar_split_clause,[],[f41153,f37081,f36359,f36616]) ).
fof(f41307,plain,
( ~ spl132_99
| spl132_196
| spl132_217
| ~ spl132_81
| ~ spl132_113
| ~ spl132_213 ),
inference(avatar_split_clause,[],[f41237,f37933,f36800,f36497,f37960,f37633,f36625]) ).
fof(f41310,plain,
( ~ m1_subset_1(sK6,sF131)
| sF126 = k2_xboole_0(sF125,sK6)
| ~ m1_subset_1(sF125,sF131)
| ~ spl132_52
| ~ spl132_57 ),
inference(forward_demodulation,[],[f41246,f36361]) ).
fof(f41316,plain,
( ~ spl132_97
| spl132_193
| spl132_215
| ~ spl132_83
| ~ spl132_114
| ~ spl132_214 ),
inference(avatar_split_clause,[],[f41296,f37938,f36804,f36506,f37947,f37616,f36616]) ).
fof(f41322,plain,
( sF126 = k2_xboole_0(sF125,sK6)
| ~ m1_subset_1(sF125,sF131)
| ~ spl132_43
| ~ spl132_52
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f41310,f36292]) ).
fof(f41327,plain,
( ~ spl132_97
| spl132_96
| ~ spl132_43
| ~ spl132_52
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f41322,f36359,f36334,f36290,f36612,f36616]) ).
fof(f41343,definition,
( spl132_376
<=> ! [X0] :
( r1_tarski(X0,sF127)
| ~ r1_tarski(X0,sF125) ) ),
introduced(definition,[new_symbols(definition,[spl132_376])],[avatar_definition]) ).
fof(f41344,plain,
( ! [X0] :
( ~ r1_tarski(X0,sF125)
| r1_tarski(X0,sF127) )
| ~ spl132_376 ),
inference(avatar_component_clause,[],[f41343]) ).
fof(f41347,definition,
( spl132_377
<=> ! [X0] :
( r1_tarski(X0,sF127)
| ~ r1_tarski(X0,sF128) ) ),
introduced(definition,[new_symbols(definition,[spl132_377])],[avatar_definition]) ).
fof(f41348,plain,
( ! [X0] :
( ~ r1_tarski(X0,sF128)
| r1_tarski(X0,sF127) )
| ~ spl132_377 ),
inference(avatar_component_clause,[],[f41347]) ).
fof(f41349,plain,
( ~ spl132_76
| ~ spl132_127
| spl132_73
| spl132_377
| ~ spl132_53
| ~ spl132_113 ),
inference(avatar_split_clause,[],[f38145,f36800,f36339,f41347,f36459,f36882,f36471]) ).
fof(f41401,definition,
( spl132_389
<=> r1_tarski(sK5,sF127) ),
introduced(definition,[new_symbols(definition,[spl132_389])],[avatar_definition]) ).
fof(f41402,plain,
( r1_tarski(sK5,sF127)
| ~ spl132_389 ),
inference(avatar_component_clause,[],[f41401]) ).
fof(f41406,definition,
( spl132_390
<=> r1_tarski(sK6,sF127) ),
introduced(definition,[new_symbols(definition,[spl132_390])],[avatar_definition]) ).
fof(f41407,plain,
( r1_tarski(sK6,sF127)
| ~ spl132_390 ),
inference(avatar_component_clause,[],[f41406]) ).
fof(f41434,plain,
( ~ m1_subset_1(sK6,sF131)
| ~ m1_subset_1(sF125,sF131)
| m1_subset_1(sF126,sF131)
| ~ spl132_52
| ~ spl132_57 ),
inference(forward_demodulation,[],[f37211,f36361]) ).
fof(f41442,definition,
( spl132_396
<=> ! [X0] :
( r1_tarski(X0,sF130)
| ~ r1_tarski(X0,sF125) ) ),
introduced(definition,[new_symbols(definition,[spl132_396])],[avatar_definition]) ).
fof(f41443,plain,
( ! [X0] :
( ~ r1_tarski(X0,sF125)
| r1_tarski(X0,sF130) )
| ~ spl132_396 ),
inference(avatar_component_clause,[],[f41442]) ).
fof(f41444,plain,
( ~ spl132_72
| ~ spl132_115
| spl132_69
| spl132_396
| ~ spl132_56
| ~ spl132_114 ),
inference(avatar_split_clause,[],[f38127,f36804,f36354,f41442,f36442,f36819,f36454]) ).
fof(f41446,definition,
( spl132_397
<=> ! [X0] :
( r1_tarski(X0,sF130)
| ~ r1_tarski(X0,sF128) ) ),
introduced(definition,[new_symbols(definition,[spl132_397])],[avatar_definition]) ).
fof(f41447,plain,
( ! [X0] :
( ~ r1_tarski(X0,sF128)
| r1_tarski(X0,sF130) )
| ~ spl132_397 ),
inference(avatar_component_clause,[],[f41446]) ).
fof(f41482,definition,
( spl132_405
<=> r1_tarski(sF129,sF128) ),
introduced(definition,[new_symbols(definition,[spl132_405])],[avatar_definition]) ).
fof(f41500,definition,
( spl132_409
<=> r1_tarski(sK5,sF130) ),
introduced(definition,[new_symbols(definition,[spl132_409])],[avatar_definition]) ).
fof(f41501,plain,
( r1_tarski(sK5,sF130)
| ~ spl132_409 ),
inference(avatar_component_clause,[],[f41500]) ).
fof(f41505,definition,
( spl132_410
<=> r1_tarski(sK6,sF130) ),
introduced(definition,[new_symbols(definition,[spl132_410])],[avatar_definition]) ).
fof(f41506,plain,
( r1_tarski(sK6,sF130)
| ~ spl132_410 ),
inference(avatar_component_clause,[],[f41505]) ).
fof(f41534,plain,
( m1_subset_1(sF129,sF131)
| ~ m1_subset_1(sF128,sF131)
| ~ spl132_41
| ~ spl132_55
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f38377,f36282]) ).
fof(f41536,plain,
( ~ m1_subset_1(sF125,sF131)
| m1_subset_1(sF126,sF131)
| ~ spl132_43
| ~ spl132_52
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f41434,f36292]) ).
fof(f41539,plain,
( ~ spl132_99
| spl132_72
| ~ spl132_41
| ~ spl132_55
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f41534,f36359,f36349,f36280,f36454,f36625]) ).
fof(f41540,plain,
( spl132_76
| ~ spl132_97
| ~ spl132_43
| ~ spl132_52
| ~ spl132_57 ),
inference(avatar_split_clause,[],[f41536,f36359,f36334,f36290,f36616,f36471]) ).
fof(f41557,plain,
( ! [X0] :
( ~ r1_tarski(sF125,X0)
| r1_tarski(sF126,X0)
| ~ r1_tarski(sK6,X0) )
| ~ spl132_96 ),
inference(superposition,[],[f35484,f36614]) ).
fof(f41624,definition,
( spl132_422
<=> r1_tarski(sF129,sF122) ),
introduced(definition,[new_symbols(definition,[spl132_422])],[avatar_definition]) ).
fof(f41626,plain,
( r1_tarski(sF129,sF122)
| ~ spl132_422 ),
inference(avatar_component_clause,[],[f41624]) ).
fof(f41632,plain,
( r1_tarski(sF126,sF122)
| ~ spl132_57
| ~ spl132_76 ),
inference(resolution,[],[f36472,f37146]) ).
fof(f41643,definition,
( spl132_424
<=> r1_tarski(sF126,sF122) ),
introduced(definition,[new_symbols(definition,[spl132_424])],[avatar_definition]) ).
fof(f41645,plain,
( r1_tarski(sF126,sF122)
| ~ spl132_424 ),
inference(avatar_component_clause,[],[f41643]) ).
fof(f41646,plain,
( spl132_424
| ~ spl132_57
| ~ spl132_76 ),
inference(avatar_split_clause,[],[f41632,f36471,f36359,f41643]) ).
fof(f41649,plain,
( ! [X0] :
( ~ r1_tarski(sF128,X0)
| r1_tarski(sF129,X0)
| ~ r1_tarski(sK5,X0) )
| ~ spl132_351 ),
inference(superposition,[],[f35484,f41184]) ).
fof(f41745,definition,
( spl132_430
<=> r1_tarski(sF125,sF126) ),
introduced(definition,[new_symbols(definition,[spl132_430])],[avatar_definition]) ).
fof(f41792,plain,
( r1_tarski(sF129,sF122)
| ~ r1_tarski(sK5,sF122)
| ~ spl132_154
| ~ spl132_351 ),
inference(resolution,[],[f41649,f37092]) ).
fof(f41795,plain,
( r1_tarski(sF129,k19_filter_2(sK4,sF128))
| ~ r1_tarski(sK5,k19_filter_2(sK4,sF128))
| v1_xboole_0(sF128)
| ~ m1_subset_1(sF128,sF131)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57
| ~ spl132_85
| ~ spl132_351 ),
inference(resolution,[],[f41649,f37011]) ).
fof(f41807,plain,
( r1_tarski(sF129,k19_filter_2(sK4,sF128))
| ~ r1_tarski(sK5,k19_filter_2(sK4,sF128))
| v1_xboole_0(sF128)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57
| ~ spl132_85
| ~ spl132_99
| ~ spl132_351 ),
inference(forward_subsumption_resolution,[],[f41795,f36626]) ).
fof(f41809,plain,
( r1_tarski(sF129,sF122)
| ~ spl132_151
| ~ spl132_154
| ~ spl132_351 ),
inference(forward_subsumption_resolution,[],[f41792,f37078]) ).
fof(f41811,definition,
( spl132_432
<=> r1_tarski(sK5,k19_filter_2(sK4,sF128)) ),
introduced(definition,[new_symbols(definition,[spl132_432])],[avatar_definition]) ).
fof(f41815,definition,
( spl132_433
<=> r1_tarski(sF129,k19_filter_2(sK4,sF128)) ),
introduced(definition,[new_symbols(definition,[spl132_433])],[avatar_definition]) ).
fof(f41818,plain,
( spl132_196
| ~ spl132_432
| spl132_433
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57
| ~ spl132_85
| ~ spl132_99
| ~ spl132_351 ),
inference(avatar_split_clause,[],[f41807,f41182,f36625,f36518,f36359,f36314,f36275,f36270,f36265,f41815,f41811,f37633]) ).
fof(f41820,plain,
( spl132_422
| ~ spl132_151
| ~ spl132_154
| ~ spl132_351 ),
inference(avatar_split_clause,[],[f41809,f41182,f37090,f37077,f41624]) ).
fof(f42226,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK6)
| r2_hidden(X0,sF123) )
| ~ spl132_100 ),
inference(superposition,[],[f36006,f36636]) ).
fof(f42227,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK5)
| r2_hidden(X0,sF123) )
| ~ spl132_227 ),
inference(superposition,[],[f36006,f38081]) ).
fof(f42228,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK6)
| r2_hidden(X0,sF126) )
| ~ spl132_96 ),
inference(superposition,[],[f36006,f36614]) ).
fof(f42229,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK5)
| r2_hidden(X0,sF129) )
| ~ spl132_351 ),
inference(superposition,[],[f36006,f41184]) ).
fof(f42241,plain,
( ! [X0] :
( r2_hidden(sK31(sK6,X0),sF123)
| r1_tarski(sK6,X0) )
| ~ spl132_100 ),
inference(resolution,[],[f42226,f35535]) ).
fof(f42258,plain,
( ! [X0] :
( r2_hidden(sK31(sK6,X0),sF126)
| r1_tarski(sK6,X0) )
| ~ spl132_96 ),
inference(resolution,[],[f42228,f35535]) ).
fof(f42275,plain,
( ! [X0] :
( r2_hidden(sK31(sK5,X0),sF123)
| r1_tarski(sK5,X0) )
| ~ spl132_227 ),
inference(resolution,[],[f42227,f35535]) ).
fof(f42292,plain,
( ! [X0] :
( r2_hidden(sK31(sK5,X0),sF129)
| r1_tarski(sK5,X0) )
| ~ spl132_351 ),
inference(resolution,[],[f42229,f35535]) ).
fof(f42300,plain,
( r1_tarski(sK6,sF126)
| r1_tarski(sK6,sF126)
| ~ spl132_96 ),
inference(resolution,[],[f42258,f35536]) ).
fof(f42303,plain,
( ! [X0] :
( r1_tarski(sK6,X0)
| ~ v1_xboole_0(sF126) )
| ~ spl132_96 ),
inference(resolution,[],[f42258,f35360]) ).
fof(f42305,plain,
( r1_tarski(sK6,sF126)
| ~ spl132_96 ),
inference(duplicate_literal_removal,[],[f42300]) ).
fof(f42307,plain,
( spl132_127
| ~ spl132_96 ),
inference(avatar_split_clause,[],[f42305,f36612,f36882]) ).
fof(f42309,plain,
( ~ r1_tarski(sK5,sF126)
| r1_tarski(sF123,sF126)
| ~ spl132_100
| ~ spl132_127 ),
inference(resolution,[],[f36883,f40136]) ).
fof(f42319,definition,
( spl132_449
<=> r1_tarski(sF123,sF126) ),
introduced(definition,[new_symbols(definition,[spl132_449])],[avatar_definition]) ).
fof(f42321,plain,
( r1_tarski(sF123,sF126)
| ~ spl132_449 ),
inference(avatar_component_clause,[],[f42319]) ).
fof(f42322,plain,
( spl132_449
| ~ spl132_117
| ~ spl132_100
| ~ spl132_127 ),
inference(avatar_split_clause,[],[f42309,f36882,f36634,f36828,f42319]) ).
fof(f42327,plain,
( r1_tarski(sK6,sF123)
| r1_tarski(sK6,sF123)
| ~ spl132_100 ),
inference(resolution,[],[f42241,f35536]) ).
fof(f42330,plain,
( ! [X0] :
( r1_tarski(sK6,X0)
| ~ v1_xboole_0(sF123) )
| ~ spl132_100 ),
inference(resolution,[],[f42241,f35360]) ).
fof(f42332,plain,
( r1_tarski(sK6,sF123)
| ~ spl132_100 ),
inference(duplicate_literal_removal,[],[f42327]) ).
fof(f42334,plain,
( spl132_129
| ~ spl132_100 ),
inference(avatar_split_clause,[],[f42332,f36634,f36891]) ).
fof(f42390,plain,
( r1_tarski(sK5,sF129)
| r1_tarski(sK5,sF129)
| ~ spl132_351 ),
inference(resolution,[],[f42292,f35536]) ).
fof(f42393,plain,
( ! [X0] :
( r1_tarski(sK5,X0)
| ~ v1_xboole_0(sF129) )
| ~ spl132_351 ),
inference(resolution,[],[f42292,f35360]) ).
fof(f42395,plain,
( r1_tarski(sK5,sF129)
| ~ spl132_351 ),
inference(duplicate_literal_removal,[],[f42390]) ).
fof(f42397,plain,
( spl132_115
| ~ spl132_351 ),
inference(avatar_split_clause,[],[f42395,f41182,f36819]) ).
fof(f42411,plain,
( r1_tarski(sK5,sF123)
| r1_tarski(sK5,sF123)
| ~ spl132_227 ),
inference(resolution,[],[f42275,f35536]) ).
fof(f42416,plain,
( r1_tarski(sK5,sF123)
| ~ spl132_227 ),
inference(duplicate_literal_removal,[],[f42411]) ).
fof(f42418,plain,
( spl132_119
| ~ spl132_227 ),
inference(avatar_split_clause,[],[f42416,f38079,f36837]) ).
fof(f42729,plain,
( ! [X0] :
( r1_tarski(sK5,X0)
| ~ v1_xboole_0(sF125) )
| ~ spl132_83 ),
inference(resolution,[],[f37277,f35360]) ).
fof(f42733,definition,
( spl132_468
<=> ! [X0] : r1_tarski(sK5,X0) ),
introduced(definition,[new_symbols(definition,[spl132_468])],[avatar_definition]) ).
fof(f42734,plain,
( ! [X0] : r1_tarski(sK5,X0)
| ~ spl132_468 ),
inference(avatar_component_clause,[],[f42733]) ).
fof(f42735,plain,
( ~ spl132_193
| spl132_468
| ~ spl132_83 ),
inference(avatar_split_clause,[],[f42729,f36506,f42733,f37616]) ).
fof(f42763,plain,
( $false
| spl132_117
| ~ spl132_468 ),
inference(resolution,[],[f42734,f36830]) ).
fof(f42765,plain,
( $false
| spl132_148
| ~ spl132_468 ),
inference(resolution,[],[f42734,f37031]) ).
fof(f42769,plain,
( spl132_148
| ~ spl132_468 ),
inference(avatar_contradiction_clause,[],[f42765]) ).
fof(f42770,plain,
( spl132_117
| ~ spl132_468 ),
inference(avatar_contradiction_clause,[],[f42763]) ).
fof(f42821,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,sF125)
| ~ m1_subset_1(sF125,sF131)
| v1_xboole_0(sF125)
| v1_xboole_0(X1)
| ~ r1_tarski(sF125,X1)
| r1_tarski(X0,k19_filter_2(sK4,X1))
| ~ m1_subset_1(X1,sF131) )
| ~ spl132_215
| ~ spl132_332 ),
inference(superposition,[],[f40693,f37949]) ).
fof(f42838,plain,
( ! [X0,X1] :
( ~ r1_tarski(X0,sF125)
| v1_xboole_0(sF125)
| v1_xboole_0(X1)
| ~ r1_tarski(sF125,X1)
| r1_tarski(X0,k19_filter_2(sK4,X1))
| ~ m1_subset_1(X1,sF131) )
| ~ spl132_97
| ~ spl132_215
| ~ spl132_332 ),
inference(forward_subsumption_resolution,[],[f42821,f36617]) ).
fof(f42852,definition,
( spl132_469
<=> ! [X0,X1] :
( ~ r1_tarski(X0,sF125)
| ~ m1_subset_1(X1,sF131)
| r1_tarski(X0,k19_filter_2(sK4,X1))
| v1_xboole_0(X1)
| ~ r1_tarski(sF125,X1) ) ),
introduced(definition,[new_symbols(definition,[spl132_469])],[avatar_definition]) ).
fof(f42853,plain,
( ! [X0,X1] :
( r1_tarski(X0,k19_filter_2(sK4,X1))
| ~ m1_subset_1(X1,sF131)
| ~ r1_tarski(X0,sF125)
| v1_xboole_0(X1)
| ~ r1_tarski(sF125,X1) )
| ~ spl132_469 ),
inference(avatar_component_clause,[],[f42852]) ).
fof(f42854,plain,
( spl132_193
| spl132_469
| ~ spl132_97
| ~ spl132_215
| ~ spl132_332 ),
inference(avatar_split_clause,[],[f42838,f40692,f37947,f36616,f42852,f37616]) ).
fof(f43056,plain,
( ! [X0] :
( r1_tarski(X0,sF127)
| ~ m1_subset_1(sF126,sF131)
| ~ r1_tarski(X0,sF125)
| v1_xboole_0(sF126)
| ~ r1_tarski(sF125,sF126) )
| ~ spl132_53
| ~ spl132_469 ),
inference(superposition,[],[f42853,f36341]) ).
fof(f43272,plain,
( ! [X0] :
( r1_tarski(sK6,X0)
| ~ v1_xboole_0(sF128) )
| ~ spl132_81 ),
inference(resolution,[],[f37275,f35360]) ).
fof(f43276,definition,
( spl132_481
<=> ! [X0] : r1_tarski(sK6,X0) ),
introduced(definition,[new_symbols(definition,[spl132_481])],[avatar_definition]) ).
fof(f43277,plain,
( ! [X0] : r1_tarski(sK6,X0)
| ~ spl132_481 ),
inference(avatar_component_clause,[],[f43276]) ).
fof(f43278,plain,
( ~ spl132_196
| spl132_481
| ~ spl132_81 ),
inference(avatar_split_clause,[],[f43272,f36497,f43276,f37633]) ).
fof(f43324,plain,
( ! [X0] :
( r2_hidden(X0,sF124)
| ~ r2_hidden(X0,sF128)
| v1_xboole_0(sF123)
| ~ m1_subset_1(sF123,sF131) )
| ~ spl132_50
| ~ spl132_113
| ~ spl132_129 ),
inference(forward_subsumption_resolution,[],[f37425,f36892]) ).
fof(f43332,plain,
( ! [X0] :
( r1_tarski(X0,sF124)
| ~ r1_tarski(X0,sF125)
| v1_xboole_0(sF123)
| ~ m1_subset_1(sF123,sF131) )
| ~ spl132_50
| ~ spl132_114
| ~ spl132_119 ),
inference(forward_subsumption_resolution,[],[f38125,f36838]) ).
fof(f43333,plain,
( ! [X0] :
( r1_tarski(X0,sF124)
| ~ r1_tarski(X0,sF128)
| v1_xboole_0(sF123)
| ~ m1_subset_1(sF123,sF131) )
| ~ spl132_50
| ~ spl132_113
| ~ spl132_129 ),
inference(forward_subsumption_resolution,[],[f38144,f36892]) ).
fof(f43400,plain,
( ! [X0] :
( r2_hidden(X0,sF124)
| ~ r2_hidden(X0,sF128)
| v1_xboole_0(sF123) )
| ~ spl132_50
| ~ spl132_80
| ~ spl132_113
| ~ spl132_129 ),
inference(forward_subsumption_resolution,[],[f43324,f36489]) ).
fof(f43406,plain,
( ! [X0] :
( r1_tarski(X0,sF124)
| ~ r1_tarski(X0,sF125)
| v1_xboole_0(sF123) )
| ~ spl132_50
| ~ spl132_80
| ~ spl132_114
| ~ spl132_119 ),
inference(forward_subsumption_resolution,[],[f43332,f36489]) ).
fof(f43407,plain,
( ! [X0] :
( r1_tarski(X0,sF124)
| ~ r1_tarski(X0,sF128)
| v1_xboole_0(sF123) )
| ~ spl132_50
| ~ spl132_80
| ~ spl132_113
| ~ spl132_129 ),
inference(forward_subsumption_resolution,[],[f43333,f36489]) ).
fof(f43443,definition,
( spl132_499
<=> r1_tarski(sK5,sF124) ),
introduced(definition,[new_symbols(definition,[spl132_499])],[avatar_definition]) ).
fof(f43484,definition,
( spl132_506
<=> ! [X0] :
( r1_tarski(X0,sF124)
| ~ r1_tarski(X0,sF125) ) ),
introduced(definition,[new_symbols(definition,[spl132_506])],[avatar_definition]) ).
fof(f43485,plain,
( ! [X0] :
( ~ r1_tarski(X0,sF125)
| r1_tarski(X0,sF124) )
| ~ spl132_506 ),
inference(avatar_component_clause,[],[f43484]) ).
fof(f43489,definition,
( spl132_507
<=> ! [X0] :
( r2_hidden(X0,sF124)
| ~ r2_hidden(X0,sF128) ) ),
introduced(definition,[new_symbols(definition,[spl132_507])],[avatar_definition]) ).
fof(f43490,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF128)
| r2_hidden(X0,sF124) )
| ~ spl132_507 ),
inference(avatar_component_clause,[],[f43489]) ).
fof(f43491,plain,
( spl132_77
| spl132_507
| ~ spl132_50
| ~ spl132_80
| ~ spl132_113
| ~ spl132_129 ),
inference(avatar_split_clause,[],[f43400,f36891,f36800,f36488,f36324,f43489,f36476]) ).
fof(f43493,plain,
( spl132_77
| spl132_506
| ~ spl132_50
| ~ spl132_80
| ~ spl132_114
| ~ spl132_119 ),
inference(avatar_split_clause,[],[f43406,f36837,f36804,f36488,f36324,f43484,f36476]) ).
fof(f43495,definition,
( spl132_508
<=> ! [X0] :
( r1_tarski(X0,sF124)
| ~ r1_tarski(X0,sF128) ) ),
introduced(definition,[new_symbols(definition,[spl132_508])],[avatar_definition]) ).
fof(f43496,plain,
( ! [X0] :
( ~ r1_tarski(X0,sF128)
| r1_tarski(X0,sF124) )
| ~ spl132_508 ),
inference(avatar_component_clause,[],[f43495]) ).
fof(f43497,plain,
( spl132_77
| spl132_508
| ~ spl132_50
| ~ spl132_80
| ~ spl132_113
| ~ spl132_129 ),
inference(avatar_split_clause,[],[f43407,f36891,f36800,f36488,f36324,f43495,f36476]) ).
fof(f43558,plain,
( ~ spl132_77
| spl132_481
| ~ spl132_100 ),
inference(avatar_split_clause,[],[f42330,f36634,f43276,f36476]) ).
fof(f43562,definition,
( spl132_515
<=> r1_tarski(sK6,sF124) ),
introduced(definition,[new_symbols(definition,[spl132_515])],[avatar_definition]) ).
fof(f43579,plain,
( r1_tarski(sF126,sF124)
| ~ r1_tarski(sK6,sF124)
| ~ spl132_96
| ~ spl132_120 ),
inference(resolution,[],[f36843,f41557]) ).
fof(f43587,definition,
( spl132_517
<=> r1_tarski(sF126,sF124) ),
introduced(definition,[new_symbols(definition,[spl132_517])],[avatar_definition]) ).
fof(f43589,plain,
( r1_tarski(sF126,sF124)
| ~ spl132_517 ),
inference(avatar_component_clause,[],[f43587]) ).
fof(f43590,plain,
( ~ spl132_515
| spl132_517
| ~ spl132_96
| ~ spl132_120 ),
inference(avatar_split_clause,[],[f43579,f36841,f36612,f43587,f43562]) ).
fof(f43593,plain,
( r1_tarski(sF129,sF124)
| ~ r1_tarski(sK5,sF124)
| ~ spl132_130
| ~ spl132_351 ),
inference(resolution,[],[f36897,f41649]) ).
fof(f43601,definition,
( spl132_518
<=> r1_tarski(sF129,sF124) ),
introduced(definition,[new_symbols(definition,[spl132_518])],[avatar_definition]) ).
fof(f43603,plain,
( r1_tarski(sF129,sF124)
| ~ spl132_518 ),
inference(avatar_component_clause,[],[f43601]) ).
fof(f43604,plain,
( ~ spl132_499
| spl132_518
| ~ spl132_130
| ~ spl132_351 ),
inference(avatar_split_clause,[],[f43593,f41182,f36895,f43601,f43443]) ).
fof(f43625,definition,
( spl132_519
<=> m1_subset_1(sF124,sF131) ),
introduced(definition,[new_symbols(definition,[spl132_519])],[avatar_definition]) ).
fof(f43633,definition,
( spl132_521
<=> v1_xboole_0(sF124) ),
introduced(definition,[new_symbols(definition,[spl132_521])],[avatar_definition]) ).
fof(f43635,plain,
( v1_xboole_0(sF124)
| ~ spl132_521 ),
inference(avatar_component_clause,[],[f43633]) ).
fof(f43673,plain,
( ! [X0] :
( r2_hidden(sK31(sK6,X0),sF124)
| r1_tarski(sK6,X0) )
| ~ spl132_81
| ~ spl132_507 ),
inference(resolution,[],[f43490,f37275]) ).
fof(f43796,plain,
( r1_tarski(sF124,sF127)
| v1_xboole_0(sF126)
| ~ r1_tarski(sF123,sF126)
| ~ m1_subset_1(sF126,sF131)
| ~ spl132_53
| ~ spl132_110 ),
inference(superposition,[],[f36783,f36341]) ).
fof(f43797,plain,
( r1_tarski(sF124,sF130)
| v1_xboole_0(sF129)
| ~ r1_tarski(sF123,sF129)
| ~ m1_subset_1(sF129,sF131)
| ~ spl132_56
| ~ spl132_110 ),
inference(superposition,[],[f36783,f36356]) ).
fof(f43982,plain,
( r1_tarski(sK6,sF124)
| ~ spl132_81
| ~ spl132_508 ),
inference(resolution,[],[f43496,f36499]) ).
fof(f44065,plain,
( r1_tarski(sK5,sF124)
| ~ spl132_83
| ~ spl132_506 ),
inference(resolution,[],[f43485,f36508]) ).
fof(f44346,plain,
( ~ r1_tarski(sK5,sF129)
| r1_tarski(sF123,sF129)
| ~ spl132_100
| ~ spl132_125 ),
inference(resolution,[],[f36874,f40136]) ).
fof(f44355,plain,
( r1_tarski(sF123,sF129)
| ~ spl132_100
| ~ spl132_115
| ~ spl132_125 ),
inference(forward_subsumption_resolution,[],[f44346,f36820]) ).
fof(f44357,definition,
( spl132_570
<=> r1_tarski(sF123,sF129) ),
introduced(definition,[new_symbols(definition,[spl132_570])],[avatar_definition]) ).
fof(f44359,plain,
( r1_tarski(sF123,sF129)
| ~ spl132_570 ),
inference(avatar_component_clause,[],[f44357]) ).
fof(f44360,plain,
( spl132_570
| ~ spl132_100
| ~ spl132_115
| ~ spl132_125 ),
inference(avatar_split_clause,[],[f44355,f36873,f36819,f36634,f44357]) ).
fof(f44986,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF125)
| r2_hidden(X0,sF126) )
| ~ spl132_96 ),
inference(superposition,[],[f36005,f36614]) ).
fof(f45002,plain,
( ! [X0] :
( r2_hidden(sK31(sF125,X0),sF126)
| r1_tarski(sF125,X0) )
| ~ spl132_96 ),
inference(resolution,[],[f44986,f35535]) ).
fof(f45367,definition,
( spl132_616
<=> k1_xboole_0 = sK6 ),
introduced(definition,[new_symbols(definition,[spl132_616])],[avatar_definition]) ).
fof(f45452,plain,
( k1_xboole_0 != sK6
| v1_xboole_0(sK6)
| ~ v1_xboole_0(k1_xboole_0) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f46364,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| ~ r1_tarski(X0,X1)
| k19_filter_2(sK4,X0) = X1
| ~ m2_filter_2(X1,sK4)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| ~ spl132_48 ),
inference(superposition,[],[f40225,f36316]) ).
fof(f46365,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| ~ r1_tarski(X0,X1)
| k19_filter_2(sK4,X0) = X1
| ~ m2_filter_2(X1,sK4)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4) )
| spl132_40
| ~ spl132_48 ),
inference(forward_subsumption_resolution,[],[f46364,f36277]) ).
fof(f46367,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| ~ r1_tarski(X0,X1)
| k19_filter_2(sK4,X0) = X1
| ~ m2_filter_2(X1,sK4)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0)
| ~ l3_lattices(sK4) )
| ~ spl132_39
| spl132_40
| ~ spl132_48 ),
inference(forward_subsumption_resolution,[],[f46365,f36272]) ).
fof(f46368,plain,
( ! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF122))
| ~ r1_tarski(X0,X1)
| k19_filter_2(sK4,X0) = X1
| ~ m2_filter_2(X1,sK4)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48 ),
inference(forward_subsumption_resolution,[],[f46367,f36267]) ).
fof(f46369,plain,
( ! [X0,X1] :
( k19_filter_2(sK4,X0) = X1
| ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X0,sF131)
| ~ m2_filter_2(X1,sK4)
| v1_xboole_0(X0)
| ~ r1_tarski(X1,X0) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57 ),
inference(forward_demodulation,[],[f46368,f36361]) ).
fof(f46398,plain,
( ! [X0,X1] :
( r1_filter_2(sF122,X1,X0)
| ~ m2_filter_2(X1,sK4)
| ~ m1_subset_1(X1,sF131)
| ~ m1_subset_1(X0,sF131)
| ~ r1_tarski(X1,X0)
| ~ m1_subset_1(X1,sF131)
| ~ m2_filter_2(X0,sK4)
| v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57
| ~ spl132_149 ),
inference(superposition,[],[f37053,f46369]) ).
fof(f46466,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(sK4),X0,X1)
| ~ m2_filter_2(X1,sK4)
| v3_struct_0(sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ r1_tarski(X1,X0)
| ~ m1_subset_1(X1,sF131)
| ~ m2_filter_2(X0,sK4)
| v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57 ),
inference(superposition,[],[f35405,f46369]) ).
fof(f46528,plain,
( ! [X0,X1] :
( r1_filter_2(sF122,X1,X0)
| ~ m2_filter_2(X1,sK4)
| ~ m1_subset_1(X1,sF131)
| ~ m1_subset_1(X0,sF131)
| ~ r1_tarski(X1,X0)
| ~ m2_filter_2(X0,sK4)
| v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57
| ~ spl132_149 ),
inference(duplicate_literal_removal,[],[f46398]) ).
fof(f46549,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(sK4),X0,X1)
| ~ m2_filter_2(X1,sK4)
| ~ v10_lattices(sK4)
| ~ l3_lattices(sK4)
| ~ r1_tarski(X1,X0)
| ~ m1_subset_1(X1,sF131)
| ~ m2_filter_2(X0,sK4)
| v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f46466,f36277]) ).
fof(f46592,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(sK4),X0,X1)
| ~ m2_filter_2(X1,sK4)
| ~ l3_lattices(sK4)
| ~ r1_tarski(X1,X0)
| ~ m1_subset_1(X1,sF131)
| ~ m2_filter_2(X0,sK4)
| v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f46549,f36272]) ).
fof(f46609,plain,
( ! [X0,X1] :
( r1_filter_2(u1_struct_0(sK4),X0,X1)
| ~ m2_filter_2(X1,sK4)
| ~ r1_tarski(X1,X0)
| ~ m1_subset_1(X1,sF131)
| ~ m2_filter_2(X0,sK4)
| v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57 ),
inference(forward_subsumption_resolution,[],[f46592,f36267]) ).
fof(f46622,plain,
( ! [X0,X1] :
( r1_filter_2(sF122,X0,X1)
| ~ m2_filter_2(X1,sK4)
| ~ r1_tarski(X1,X0)
| ~ m1_subset_1(X1,sF131)
| ~ m2_filter_2(X0,sK4)
| v1_xboole_0(X1)
| ~ r1_tarski(X0,X1) )
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57 ),
inference(forward_demodulation,[],[f46609,f36316]) ).
fof(f46688,plain,
( ~ m2_filter_2(sF130,sK4)
| ~ r1_tarski(sF130,sF124)
| ~ m1_subset_1(sF130,sF131)
| ~ m2_filter_2(sF124,sK4)
| v1_xboole_0(sF130)
| ~ r1_tarski(sF124,sF130)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_45
| ~ spl132_48
| ~ spl132_57 ),
inference(resolution,[],[f46622,f36302]) ).
fof(f46804,plain,
( ~ m2_filter_2(sF124,sK4)
| ~ m1_subset_1(sF124,sF131)
| ~ m1_subset_1(sF130,sF131)
| ~ r1_tarski(sF124,sF130)
| ~ m2_filter_2(sF130,sK4)
| v1_xboole_0(sF124)
| ~ r1_tarski(sF130,sF124)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_45
| ~ spl132_48
| ~ spl132_57
| ~ spl132_149 ),
inference(resolution,[],[f46528,f36302]) ).
fof(f49774,plain,
( r1_tarski(sF125,sF126)
| r1_tarski(sF125,sF126)
| ~ spl132_96 ),
inference(resolution,[],[f45002,f35536]) ).
fof(f49781,plain,
( r1_tarski(sF125,sF126)
| ~ spl132_96 ),
inference(duplicate_literal_removal,[],[f49774]) ).
fof(f49796,plain,
( spl132_430
| ~ spl132_96 ),
inference(avatar_split_clause,[],[f49781,f36612,f41745]) ).
fof(f49829,plain,
( ! [X0] :
( r1_tarski(X0,sF127)
| ~ r1_tarski(X0,sF125)
| v1_xboole_0(sF126)
| ~ r1_tarski(sF125,sF126) )
| ~ spl132_53
| ~ spl132_76
| ~ spl132_469 ),
inference(forward_subsumption_resolution,[],[f43056,f36472]) ).
fof(f49833,plain,
( r1_tarski(sF124,sF127)
| v1_xboole_0(sF126)
| ~ m1_subset_1(sF126,sF131)
| ~ spl132_53
| ~ spl132_110
| ~ spl132_449 ),
inference(forward_subsumption_resolution,[],[f43796,f42321]) ).
fof(f49947,plain,
( ~ spl132_430
| spl132_73
| spl132_376
| ~ spl132_53
| ~ spl132_76
| ~ spl132_469 ),
inference(avatar_split_clause,[],[f49829,f42852,f36471,f36339,f41343,f36459,f41745]) ).
fof(f49951,plain,
( r1_tarski(sF124,sF127)
| v1_xboole_0(sF126)
| ~ spl132_53
| ~ spl132_76
| ~ spl132_110
| ~ spl132_449 ),
inference(forward_subsumption_resolution,[],[f49833,f36472]) ).
fof(f49977,definition,
( spl132_732
<=> v1_xboole_0(sF127) ),
introduced(definition,[new_symbols(definition,[spl132_732])],[avatar_definition]) ).
fof(f49979,plain,
( v1_xboole_0(sF127)
| ~ spl132_732 ),
inference(avatar_component_clause,[],[f49977]) ).
fof(f49981,definition,
( spl132_733
<=> m1_subset_1(sF127,sF131) ),
introduced(definition,[new_symbols(definition,[spl132_733])],[avatar_definition]) ).
fof(f50080,definition,
( spl132_747
<=> r1_tarski(sF123,sF127) ),
introduced(definition,[new_symbols(definition,[spl132_747])],[avatar_definition]) ).
fof(f51873,definition,
( spl132_782
<=> sF128 = sF129 ),
introduced(definition,[new_symbols(definition,[spl132_782])],[avatar_definition]) ).
fof(f51974,plain,
( r1_tarski(sF128,sF129)
| ~ spl132_351 ),
inference(superposition,[],[f35485,f41184]) ).
fof(f51976,definition,
( spl132_783
<=> r1_tarski(sF128,sF129) ),
introduced(definition,[new_symbols(definition,[spl132_783])],[avatar_definition]) ).
fof(f51978,plain,
( r1_tarski(sF128,sF129)
| ~ spl132_783 ),
inference(avatar_component_clause,[],[f51976]) ).
fof(f51979,plain,
( spl132_783
| ~ spl132_351 ),
inference(avatar_split_clause,[],[f51974,f41182,f51976]) ).
fof(f51989,plain,
( ~ r1_tarski(sF129,sF128)
| sF128 = sF129
| ~ spl132_783 ),
inference(resolution,[],[f51978,f35532]) ).
fof(f51990,plain,
( spl132_782
| ~ spl132_405
| ~ spl132_783 ),
inference(avatar_split_clause,[],[f51989,f51976,f41482,f51873]) ).
fof(f72433,plain,
( m1_subset_1(sF124,sF131)
| ~ r1_tarski(sF123,sF122)
| v1_xboole_0(sF123)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_50
| ~ spl132_57
| ~ spl132_150 ),
inference(superposition,[],[f41162,f36326]) ).
fof(f72435,plain,
( m1_subset_1(sF127,sF131)
| ~ r1_tarski(sF126,sF122)
| v1_xboole_0(sF126)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_53
| ~ spl132_57
| ~ spl132_150 ),
inference(superposition,[],[f41162,f36341]) ).
fof(f72437,plain,
( m1_subset_1(sF130,sF131)
| ~ r1_tarski(sF129,sF122)
| v1_xboole_0(sF129)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_56
| ~ spl132_57
| ~ spl132_150 ),
inference(superposition,[],[f41162,f36356]) ).
fof(f72478,plain,
( m1_subset_1(sF127,sF131)
| v1_xboole_0(sF126)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_53
| ~ spl132_57
| ~ spl132_150
| ~ spl132_424 ),
inference(forward_subsumption_resolution,[],[f72435,f41645]) ).
fof(f72479,plain,
( m1_subset_1(sF124,sF131)
| v1_xboole_0(sF123)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_50
| ~ spl132_57
| ~ spl132_150
| ~ spl132_169 ),
inference(forward_subsumption_resolution,[],[f72433,f37231]) ).
fof(f72508,plain,
( m1_subset_1(sF124,sF131)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_50
| ~ spl132_57
| spl132_77
| ~ spl132_150
| ~ spl132_169 ),
inference(forward_subsumption_resolution,[],[f72479,f36477]) ).
fof(f74993,plain,
( k1_xboole_0 = sK6
| ~ spl132_481 ),
inference(resolution,[],[f35941,f43277]) ).
fof(f74994,plain,
( spl132_616
| ~ spl132_481 ),
inference(avatar_split_clause,[],[f74993,f43276,f45367]) ).
fof(f75986,plain,
( spl132_515
| ~ spl132_81
| ~ spl132_508 ),
inference(avatar_split_clause,[],[f43982,f43495,f36497,f43562]) ).
fof(f76017,definition,
( spl132_1207
<=> r1_tarski(sF127,sF124) ),
introduced(definition,[new_symbols(definition,[spl132_1207])],[avatar_definition]) ).
fof(f76019,plain,
( r1_tarski(sF127,sF124)
| ~ spl132_1207 ),
inference(avatar_component_clause,[],[f76017]) ).
fof(f76022,definition,
( spl132_1208
<=> r1_tarski(sF124,sF127) ),
introduced(definition,[new_symbols(definition,[spl132_1208])],[avatar_definition]) ).
fof(f76024,plain,
( r1_tarski(sF124,sF127)
| ~ spl132_1208 ),
inference(avatar_component_clause,[],[f76022]) ).
fof(f76025,plain,
( spl132_73
| spl132_1208
| ~ spl132_53
| ~ spl132_76
| ~ spl132_110
| ~ spl132_449 ),
inference(avatar_split_clause,[],[f49951,f42319,f36782,f36471,f36339,f76022,f36459]) ).
fof(f76103,plain,
( spl132_519
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_50
| ~ spl132_57
| spl132_77
| ~ spl132_150
| ~ spl132_169 ),
inference(avatar_split_clause,[],[f72508,f37229,f37068,f36476,f36359,f36324,f36314,f36275,f36270,f36265,f43625]) ).
fof(f76158,plain,
( ~ spl132_73
| spl132_481
| ~ spl132_96 ),
inference(avatar_split_clause,[],[f42303,f36612,f43276,f36459]) ).
fof(f76348,plain,
( spl132_73
| spl132_733
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_53
| ~ spl132_57
| ~ spl132_150
| ~ spl132_424 ),
inference(avatar_split_clause,[],[f72478,f41643,f37068,f36359,f36339,f36314,f36275,f36270,f36265,f49981,f36459]) ).
fof(f76527,plain,
( m2_filter_2(sF130,sK4)
| v1_xboole_0(sF129)
| ~ spl132_56
| ~ spl132_72
| ~ spl132_85 ),
inference(forward_subsumption_resolution,[],[f36992,f36455]) ).
fof(f76529,definition,
( spl132_1288
<=> r1_tarski(sF123,sF130) ),
introduced(definition,[new_symbols(definition,[spl132_1288])],[avatar_definition]) ).
fof(f76533,definition,
( spl132_1289
<=> v1_xboole_0(sF130) ),
introduced(definition,[new_symbols(definition,[spl132_1289])],[avatar_definition]) ).
fof(f76535,plain,
( v1_xboole_0(sF130)
| ~ spl132_1289 ),
inference(avatar_component_clause,[],[f76533]) ).
fof(f76537,definition,
( spl132_1290
<=> r1_tarski(sF130,sF124) ),
introduced(definition,[new_symbols(definition,[spl132_1290])],[avatar_definition]) ).
fof(f76538,plain,
( r1_tarski(sF130,sF124)
| ~ spl132_1290 ),
inference(avatar_component_clause,[],[f76537]) ).
fof(f76541,definition,
( spl132_1291
<=> m1_subset_1(sF130,sF131) ),
introduced(definition,[new_symbols(definition,[spl132_1291])],[avatar_definition]) ).
fof(f76545,plain,
( ~ m2_filter_2(sF130,sK4)
| ~ r1_tarski(sF130,sF124)
| ~ m1_subset_1(sF130,sF131)
| v1_xboole_0(sF130)
| ~ r1_tarski(sF124,sF130)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_45
| ~ spl132_48
| ~ spl132_57
| ~ spl132_79 ),
inference(forward_subsumption_resolution,[],[f46688,f36485]) ).
fof(f76546,plain,
( ~ m1_subset_1(sF124,sF131)
| ~ m1_subset_1(sF130,sF131)
| ~ r1_tarski(sF124,sF130)
| ~ m2_filter_2(sF130,sK4)
| v1_xboole_0(sF124)
| ~ r1_tarski(sF130,sF124)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_45
| ~ spl132_48
| ~ spl132_57
| ~ spl132_79
| ~ spl132_149 ),
inference(forward_subsumption_resolution,[],[f46804,f36485]) ).
fof(f76577,plain,
( ~ spl132_69
| spl132_468
| ~ spl132_351 ),
inference(avatar_split_clause,[],[f42393,f41182,f42733,f36442]) ).
fof(f76583,plain,
( r1_tarski(sF124,sF130)
| v1_xboole_0(sF129)
| ~ m1_subset_1(sF129,sF131)
| ~ spl132_56
| ~ spl132_110
| ~ spl132_570 ),
inference(forward_subsumption_resolution,[],[f43797,f44359]) ).
fof(f76678,plain,
( m1_subset_1(sF130,sF131)
| v1_xboole_0(sF129)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_56
| ~ spl132_57
| ~ spl132_150
| ~ spl132_422 ),
inference(forward_subsumption_resolution,[],[f72437,f41626]) ).
fof(f76782,plain,
( spl132_69
| spl132_71
| ~ spl132_56
| ~ spl132_72
| ~ spl132_85 ),
inference(avatar_split_clause,[],[f76527,f36518,f36454,f36354,f36450,f36442]) ).
fof(f76784,definition,
( spl132_1312
<=> r1_tarski(sF124,sF130) ),
introduced(definition,[new_symbols(definition,[spl132_1312])],[avatar_definition]) ).
fof(f76785,plain,
( r1_tarski(sF124,sF130)
| ~ spl132_1312 ),
inference(avatar_component_clause,[],[f76784]) ).
fof(f76787,plain,
( ~ spl132_1312
| spl132_1289
| ~ spl132_1291
| ~ spl132_1290
| ~ spl132_71
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_45
| ~ spl132_48
| ~ spl132_57
| ~ spl132_79 ),
inference(avatar_split_clause,[],[f76545,f36484,f36359,f36314,f36300,f36275,f36270,f36265,f36450,f76537,f76541,f76533,f76784]) ).
fof(f76788,plain,
( ~ spl132_1290
| spl132_521
| ~ spl132_71
| ~ spl132_1312
| ~ spl132_1291
| ~ spl132_519
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_45
| ~ spl132_48
| ~ spl132_57
| ~ spl132_79
| ~ spl132_149 ),
inference(avatar_split_clause,[],[f76546,f37052,f36484,f36359,f36314,f36300,f36275,f36270,f36265,f43625,f76541,f76784,f36450,f43633,f76537]) ).
fof(f76995,plain,
( spl132_69
| spl132_1291
| ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_56
| ~ spl132_57
| ~ spl132_150
| ~ spl132_422 ),
inference(avatar_split_clause,[],[f76678,f41624,f37068,f36359,f36354,f36314,f36275,f36270,f36265,f76541,f36442]) ).
fof(f77190,plain,
( sF128 != k19_filter_2(sK4,sF128)
| r1_tarski(sK5,k19_filter_2(sK4,sF128))
| ~ r1_tarski(sK5,sF128) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f77191,plain,
( sF128 != k19_filter_2(sK4,sF128)
| r1_tarski(sF129,sF128)
| ~ r1_tarski(sF129,k19_filter_2(sK4,sF128)) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f77196,plain,
( sF128 != sF129
| r1_tarski(sK6,sF129)
| ~ r1_tarski(sK6,sF128) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f77197,plain,
( sF128 != sF129
| v1_xboole_0(sF128)
| ~ v1_xboole_0(sF129) ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f77219,plain,
( spl132_499
| ~ spl132_83
| ~ spl132_506 ),
inference(avatar_split_clause,[],[f44065,f43484,f36506,f43443]) ).
fof(f77359,plain,
( r1_tarski(sF124,sF130)
| v1_xboole_0(sF129)
| ~ spl132_56
| ~ spl132_72
| ~ spl132_110
| ~ spl132_570 ),
inference(forward_subsumption_resolution,[],[f76583,f36455]) ).
fof(f77363,plain,
( spl132_69
| spl132_1312
| ~ spl132_56
| ~ spl132_72
| ~ spl132_110
| ~ spl132_570 ),
inference(avatar_split_clause,[],[f77359,f44357,f36782,f36454,f36354,f76784,f36442]) ).
fof(f77394,plain,
( ~ m2_filter_2(sF127,sK4)
| ~ r1_tarski(sF127,sF124)
| ~ m1_subset_1(sF127,sF131)
| ~ m2_filter_2(sF124,sK4)
| v1_xboole_0(sF127)
| ~ r1_tarski(sF124,sF127)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_46
| ~ spl132_48
| ~ spl132_57 ),
inference(resolution,[],[f36306,f46622]) ).
fof(f77395,plain,
( ~ m2_filter_2(sF127,sK4)
| ~ r1_tarski(sF127,sF124)
| ~ m1_subset_1(sF127,sF131)
| v1_xboole_0(sF127)
| ~ r1_tarski(sF124,sF127)
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_46
| ~ spl132_48
| ~ spl132_57
| ~ spl132_79 ),
inference(forward_subsumption_resolution,[],[f77394,f36485]) ).
fof(f77399,plain,
( ~ spl132_1208
| spl132_732
| ~ spl132_733
| ~ spl132_1207
| ~ spl132_75
| ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_46
| ~ spl132_48
| ~ spl132_57
| ~ spl132_79 ),
inference(avatar_split_clause,[],[f77395,f36484,f36359,f36314,f36304,f36275,f36270,f36265,f36467,f76017,f49981,f49977,f76022]) ).
fof(f77478,plain,
( ! [X0] :
( ~ r1_tarski(X0,sF128)
| r1_tarski(X0,sF130) )
| ~ spl132_126 ),
inference(resolution,[],[f36879,f35529]) ).
fof(f77483,plain,
( spl132_397
| ~ spl132_126 ),
inference(avatar_split_clause,[],[f77478,f36877,f41446]) ).
fof(f77829,plain,
( r1_tarski(sF124,sF130)
| ~ r1_tarski(sF123,sF130)
| ~ spl132_71
| ~ spl132_95 ),
inference(resolution,[],[f36451,f36581]) ).
fof(f77883,plain,
( ~ spl132_1288
| spl132_1312
| ~ spl132_71
| ~ spl132_95 ),
inference(avatar_split_clause,[],[f77829,f36580,f36450,f76784,f76529]) ).
fof(f77886,plain,
( r1_tarski(sF124,sF127)
| ~ r1_tarski(sF123,sF127)
| ~ spl132_75
| ~ spl132_95 ),
inference(resolution,[],[f36468,f36581]) ).
fof(f77936,plain,
( ~ spl132_747
| spl132_1208
| ~ spl132_75
| ~ spl132_95 ),
inference(avatar_split_clause,[],[f77886,f36580,f36467,f76022,f50080]) ).
fof(f78095,plain,
( r1_tarski(sF128,sF130)
| v1_xboole_0(sF128)
| ~ r1_tarski(sF128,sF129)
| ~ m1_subset_1(sF128,sF131)
| ~ spl132_104
| ~ spl132_217 ),
inference(superposition,[],[f36758,f37962]) ).
fof(f78252,plain,
( r1_tarski(sK5,sF127)
| ~ spl132_83
| ~ spl132_376 ),
inference(resolution,[],[f41344,f36508]) ).
fof(f78254,plain,
( spl132_389
| ~ spl132_83
| ~ spl132_376 ),
inference(avatar_split_clause,[],[f78252,f41343,f36506,f41401]) ).
fof(f78300,plain,
( r1_tarski(sK6,sF127)
| ~ spl132_81
| ~ spl132_377 ),
inference(resolution,[],[f41348,f36499]) ).
fof(f78302,plain,
( spl132_390
| ~ spl132_81
| ~ spl132_377 ),
inference(avatar_split_clause,[],[f78300,f41347,f36497,f41406]) ).
fof(f78323,plain,
( ~ r1_tarski(sK5,sF127)
| r1_tarski(sF123,sF127)
| ~ spl132_100
| ~ spl132_390 ),
inference(resolution,[],[f41407,f40136]) ).
fof(f78332,plain,
( r1_tarski(sF123,sF127)
| ~ spl132_100
| ~ spl132_389
| ~ spl132_390 ),
inference(forward_subsumption_resolution,[],[f78323,f41402]) ).
fof(f78333,plain,
( spl132_747
| ~ spl132_100
| ~ spl132_389
| ~ spl132_390 ),
inference(avatar_split_clause,[],[f78332,f41406,f41401,f36634,f50080]) ).
fof(f78347,plain,
( r1_tarski(sK5,sF130)
| ~ spl132_83
| ~ spl132_396 ),
inference(resolution,[],[f41443,f36508]) ).
fof(f78349,plain,
( spl132_409
| ~ spl132_83
| ~ spl132_396 ),
inference(avatar_split_clause,[],[f78347,f41442,f36506,f41500]) ).
fof(f78395,plain,
( r1_tarski(sK6,sF130)
| ~ spl132_81
| ~ spl132_397 ),
inference(resolution,[],[f41447,f36499]) ).
fof(f78397,plain,
( spl132_410
| ~ spl132_81
| ~ spl132_397 ),
inference(avatar_split_clause,[],[f78395,f41446,f36497,f41505]) ).
fof(f78432,plain,
( r1_tarski(sF128,sF130)
| v1_xboole_0(sF128)
| ~ m1_subset_1(sF128,sF131)
| ~ spl132_104
| ~ spl132_217
| ~ spl132_783 ),
inference(forward_subsumption_resolution,[],[f78095,f51978]) ).
fof(f78450,plain,
( r1_tarski(sF128,sF130)
| v1_xboole_0(sF128)
| ~ spl132_99
| ~ spl132_104
| ~ spl132_217
| ~ spl132_783 ),
inference(forward_subsumption_resolution,[],[f78432,f36626]) ).
fof(f78460,plain,
( spl132_196
| spl132_126
| ~ spl132_99
| ~ spl132_104
| ~ spl132_217
| ~ spl132_783 ),
inference(avatar_split_clause,[],[f78450,f51976,f37960,f36757,f36625,f36877,f37633]) ).
fof(f78507,plain,
( ~ r1_tarski(sK5,sF130)
| r1_tarski(sF123,sF130)
| ~ spl132_100
| ~ spl132_410 ),
inference(resolution,[],[f41506,f40136]) ).
fof(f78516,plain,
( r1_tarski(sF123,sF130)
| ~ spl132_100
| ~ spl132_409
| ~ spl132_410 ),
inference(forward_subsumption_resolution,[],[f78507,f41501]) ).
fof(f78517,plain,
( spl132_1288
| ~ spl132_100
| ~ spl132_409
| ~ spl132_410 ),
inference(avatar_split_clause,[],[f78516,f41505,f41500,f36634,f76529]) ).
fof(f79072,plain,
( r1_tarski(sF130,sF124)
| ~ r1_tarski(sF129,sF124)
| ~ spl132_79
| ~ spl132_93 ),
inference(resolution,[],[f36573,f36485]) ).
fof(f79084,plain,
( r1_tarski(sF130,sF124)
| ~ spl132_79
| ~ spl132_93
| ~ spl132_518 ),
inference(forward_subsumption_resolution,[],[f79072,f43603]) ).
fof(f79090,plain,
( spl132_1290
| ~ spl132_79
| ~ spl132_93
| ~ spl132_518 ),
inference(avatar_split_clause,[],[f79084,f43601,f36572,f36484,f76537]) ).
fof(f79108,definition,
( spl132_1513
<=> sF124 = sF130 ),
introduced(definition,[new_symbols(definition,[spl132_1513])],[avatar_definition]) ).
fof(f79110,plain,
( sF124 = sF130
| ~ spl132_1513 ),
inference(avatar_component_clause,[],[f79108]) ).
fof(f79211,plain,
( r1_tarski(sF127,sF124)
| ~ r1_tarski(sF126,sF124)
| ~ spl132_79
| ~ spl132_94 ),
inference(resolution,[],[f36577,f36485]) ).
fof(f79224,plain,
( r1_tarski(sF127,sF124)
| ~ spl132_79
| ~ spl132_94
| ~ spl132_517 ),
inference(forward_subsumption_resolution,[],[f79211,f43589]) ).
fof(f79231,plain,
( spl132_1207
| ~ spl132_79
| ~ spl132_94
| ~ spl132_517 ),
inference(avatar_split_clause,[],[f79224,f43587,f36576,f36484,f76017]) ).
fof(f79303,plain,
( ~ r1_tarski(sF130,sF124)
| sF124 = sF130
| ~ spl132_1312 ),
inference(resolution,[],[f76785,f35532]) ).
fof(f79304,plain,
( sF124 = sF130
| ~ spl132_1290
| ~ spl132_1312 ),
inference(forward_subsumption_resolution,[],[f79303,f76538]) ).
fof(f79305,plain,
( spl132_1513
| ~ spl132_1290
| ~ spl132_1312 ),
inference(avatar_split_clause,[],[f79304,f76784,f76537,f79108]) ).
fof(f79601,plain,
( v1_xboole_0(sF124)
| ~ spl132_1289
| ~ spl132_1513 ),
inference(superposition,[],[f76535,f79110]) ).
fof(f79608,plain,
( spl132_521
| ~ spl132_1289
| ~ spl132_1513 ),
inference(avatar_split_clause,[],[f79601,f79108,f76533,f43633]) ).
fof(f80105,definition,
( spl132_1573
<=> sF124 = sF127 ),
introduced(definition,[new_symbols(definition,[spl132_1573])],[avatar_definition]) ).
fof(f80107,plain,
( sF124 = sF127
| ~ spl132_1573 ),
inference(avatar_component_clause,[],[f80105]) ).
fof(f80166,plain,
( ~ r1_tarski(sF127,sF124)
| sF124 = sF127
| ~ spl132_1208 ),
inference(resolution,[],[f76024,f35532]) ).
fof(f80167,plain,
( sF124 = sF127
| ~ spl132_1207
| ~ spl132_1208 ),
inference(forward_subsumption_resolution,[],[f80166,f76019]) ).
fof(f80168,plain,
( spl132_1573
| ~ spl132_1207
| ~ spl132_1208 ),
inference(avatar_split_clause,[],[f80167,f76022,f76017,f80105]) ).
fof(f80220,plain,
( v1_xboole_0(sF124)
| ~ spl132_732
| ~ spl132_1573 ),
inference(superposition,[],[f49979,f80107]) ).
fof(f80230,plain,
( spl132_521
| ~ spl132_732
| ~ spl132_1573 ),
inference(avatar_split_clause,[],[f80220,f80105,f49977,f43633]) ).
fof(f84396,plain,
( ! [X0] :
( r1_tarski(sK6,X0)
| ~ v1_xboole_0(sF124) )
| ~ spl132_81
| ~ spl132_507 ),
inference(resolution,[],[f43673,f35360]) ).
fof(f84404,plain,
( ! [X0] : r1_tarski(sK6,X0)
| ~ spl132_81
| ~ spl132_507
| ~ spl132_521 ),
inference(forward_subsumption_resolution,[],[f84396,f43635]) ).
fof(f84407,plain,
( spl132_481
| ~ spl132_81
| ~ spl132_507
| ~ spl132_521 ),
inference(avatar_split_clause,[],[f84404,f43633,f43489,f36497,f43276]) ).
cnf(s1,plain,
spl132_1,
inference(sat_conversion,[],[f36083]) ).
cnf(s41,plain,
spl132_38,
inference(sat_conversion,[],[f36268]) ).
cnf(s42,plain,
spl132_39,
inference(sat_conversion,[],[f36273]) ).
cnf(s43,plain,
~ spl132_40,
inference(sat_conversion,[],[f36278]) ).
cnf(s44,plain,
spl132_41,
inference(sat_conversion,[],[f36283]) ).
cnf(s45,plain,
~ spl132_42,
inference(sat_conversion,[],[f36288]) ).
cnf(s46,plain,
spl132_43,
inference(sat_conversion,[],[f36293]) ).
cnf(s47,plain,
~ spl132_44,
inference(sat_conversion,[],[f36298]) ).
cnf(s48,plain,
( ~ spl132_45
| ~ spl132_46 ),
inference(sat_conversion,[],[f36307]) ).
cnf(s50,plain,
spl132_48,
inference(sat_conversion,[],[f36317]) ).
cnf(s51,plain,
spl132_49,
inference(sat_conversion,[],[f36322]) ).
cnf(s52,plain,
spl132_50,
inference(sat_conversion,[],[f36327]) ).
cnf(s53,plain,
spl132_51,
inference(sat_conversion,[],[f36332]) ).
cnf(s54,plain,
spl132_52,
inference(sat_conversion,[],[f36337]) ).
cnf(s55,plain,
spl132_53,
inference(sat_conversion,[],[f36342]) ).
cnf(s56,plain,
spl132_54,
inference(sat_conversion,[],[f36347]) ).
cnf(s57,plain,
spl132_55,
inference(sat_conversion,[],[f36352]) ).
cnf(s58,plain,
spl132_56,
inference(sat_conversion,[],[f36357]) ).
cnf(s59,plain,
spl132_57,
inference(sat_conversion,[],[f36362]) ).
cnf(s65,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| spl132_68 ),
inference(sat_conversion,[],[f36420]) ).
cnf(s69,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57
| spl132_81
| ~ spl132_82 ),
inference(sat_conversion,[],[f36504]) ).
cnf(s70,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57
| spl132_83
| ~ spl132_84 ),
inference(sat_conversion,[],[f36513]) ).
cnf(s71,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57
| spl132_85 ),
inference(sat_conversion,[],[f36520]) ).
cnf(s78,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_56
| ~ spl132_57
| spl132_69
| ~ spl132_72
| spl132_93 ),
inference(sat_conversion,[],[f36574]) ).
cnf(s79,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_53
| ~ spl132_57
| spl132_73
| ~ spl132_76
| spl132_94 ),
inference(sat_conversion,[],[f36578]) ).
cnf(s80,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_50
| ~ spl132_57
| spl132_77
| ~ spl132_80
| spl132_95 ),
inference(sat_conversion,[],[f36582]) ).
cnf(s85,plain,
( ~ spl132_41
| ~ spl132_43
| ~ spl132_49
| ~ spl132_57
| spl132_100 ),
inference(sat_conversion,[],[f36637]) ).
cnf(s89,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_56
| ~ spl132_57
| spl132_69
| ~ spl132_72
| spl132_104
| spl132_105 ),
inference(sat_conversion,[],[f36762]) ).
cnf(s94,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_50
| ~ spl132_57
| spl132_77
| ~ spl132_80
| spl132_105
| spl132_110 ),
inference(sat_conversion,[],[f36784]) ).
cnf(s97,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57
| spl132_105
| spl132_113 ),
inference(sat_conversion,[],[f36802]) ).
cnf(s98,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57
| spl132_105
| spl132_114 ),
inference(sat_conversion,[],[f36806]) ).
cnf(s99,plain,
( ~ spl132_43
| spl132_44
| ~ spl132_105 ),
inference(sat_conversion,[],[f36810]) ).
cnf(s103,plain,
( ~ spl132_50
| spl132_77
| ~ spl132_80
| ~ spl132_114
| ~ spl132_119
| spl132_120 ),
inference(sat_conversion,[],[f36844]) ).
cnf(s108,plain,
( ~ spl132_50
| spl132_77
| ~ spl132_80
| ~ spl132_113
| ~ spl132_129
| spl132_130 ),
inference(sat_conversion,[],[f36898]) ).
cnf(s117,plain,
( ~ spl132_53
| spl132_73
| spl132_75
| ~ spl132_76
| ~ spl132_85 ),
inference(sat_conversion,[],[f36995]) ).
cnf(s118,plain,
( ~ spl132_50
| spl132_77
| spl132_79
| ~ spl132_80
| ~ spl132_85 ),
inference(sat_conversion,[],[f36996]) ).
cnf(s122,plain,
( ~ spl132_41
| spl132_42
| ~ spl132_51
| spl132_84
| ~ spl132_85 ),
inference(sat_conversion,[],[f37016]) ).
cnf(s123,plain,
( ~ spl132_43
| spl132_44
| ~ spl132_54
| spl132_82
| ~ spl132_85 ),
inference(sat_conversion,[],[f37017]) ).
cnf(s131,plain,
( ~ spl132_57
| ~ spl132_68
| spl132_91
| spl132_149 ),
inference(sat_conversion,[],[f37054]) ).
cnf(s132,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| spl132_150 ),
inference(sat_conversion,[],[f37071]) ).
cnf(s133,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57
| ~ spl132_151
| spl132_152 ),
inference(sat_conversion,[],[f37084]) ).
cnf(s134,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57
| ~ spl132_153
| spl132_154 ),
inference(sat_conversion,[],[f37093]) ).
cnf(s142,plain,
( ~ spl132_43
| ~ spl132_57
| spl132_153 ),
inference(sat_conversion,[],[f37153]) ).
cnf(s143,plain,
( ~ spl132_41
| ~ spl132_57
| spl132_151 ),
inference(sat_conversion,[],[f37154]) ).
cnf(s148,plain,
( ~ spl132_41
| ~ spl132_43
| ~ spl132_49
| ~ spl132_57
| spl132_80 ),
inference(sat_conversion,[],[f37219]) ).
cnf(s150,plain,
( ~ spl132_57
| ~ spl132_80
| spl132_169 ),
inference(sat_conversion,[],[f37232]) ).
cnf(s199,plain,
( spl132_105
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57
| ~ spl132_38
| spl132_105
| spl132_213 ),
inference(sat_conversion,[],[f37936]) ).
cnf(s200,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_43
| spl132_44
| ~ spl132_48
| ~ spl132_54
| ~ spl132_57
| spl132_105
| spl132_213 ),
inference(rat,[],[s199]) ).
cnf(s201,plain,
( spl132_105
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57
| ~ spl132_38
| spl132_105
| spl132_214 ),
inference(sat_conversion,[],[f37941]) ).
cnf(s202,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_41
| spl132_42
| ~ spl132_48
| ~ spl132_51
| ~ spl132_57
| spl132_105
| spl132_214 ),
inference(rat,[],[s201]) ).
cnf(s211,plain,
( ~ spl132_41
| ~ spl132_43
| ~ spl132_49
| ~ spl132_57
| spl132_227 ),
inference(sat_conversion,[],[f38082]) ).
cnf(s258,plain,
( ~ spl132_41
| ~ spl132_57
| ~ spl132_91
| spl132_148 ),
inference(sat_conversion,[],[f38731]) ).
cnf(s369,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57
| spl132_105
| spl132_332 ),
inference(sat_conversion,[],[f40694]) ).
cnf(s411,plain,
( ~ spl132_41
| ~ spl132_55
| ~ spl132_57
| ~ spl132_99
| spl132_351 ),
inference(sat_conversion,[],[f41186]) ).
cnf(s424,plain,
( ~ spl132_57
| spl132_99
| ~ spl132_154 ),
inference(sat_conversion,[],[f41238]) ).
cnf(s437,plain,
( ~ spl132_57
| spl132_97
| ~ spl132_152 ),
inference(sat_conversion,[],[f41297]) ).
cnf(s443,plain,
( ~ spl132_81
| ~ spl132_99
| ~ spl132_113
| spl132_196
| ~ spl132_213
| spl132_217 ),
inference(sat_conversion,[],[f41307]) ).
cnf(s447,plain,
( ~ spl132_83
| ~ spl132_97
| ~ spl132_114
| spl132_193
| ~ spl132_214
| spl132_215 ),
inference(sat_conversion,[],[f41316]) ).
cnf(s454,plain,
( ~ spl132_43
| ~ spl132_52
| ~ spl132_57
| spl132_96
| ~ spl132_97 ),
inference(sat_conversion,[],[f41327]) ).
cnf(s460,plain,
( ~ spl132_53
| spl132_73
| ~ spl132_76
| ~ spl132_113
| ~ spl132_127
| spl132_377 ),
inference(sat_conversion,[],[f41349]) ).
cnf(s490,plain,
( ~ spl132_56
| spl132_69
| ~ spl132_72
| ~ spl132_114
| ~ spl132_115
| spl132_396 ),
inference(sat_conversion,[],[f41444]) ).
cnf(s523,plain,
( ~ spl132_41
| ~ spl132_55
| ~ spl132_57
| spl132_72
| ~ spl132_99 ),
inference(sat_conversion,[],[f41539]) ).
cnf(s524,plain,
( ~ spl132_43
| ~ spl132_52
| ~ spl132_57
| spl132_76
| ~ spl132_97 ),
inference(sat_conversion,[],[f41540]) ).
cnf(s542,plain,
( ~ spl132_57
| ~ spl132_76
| spl132_424 ),
inference(sat_conversion,[],[f41646]) ).
cnf(s562,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_57
| ~ spl132_85
| ~ spl132_99
| spl132_196
| ~ spl132_351
| ~ spl132_432
| spl132_433 ),
inference(sat_conversion,[],[f41818]) ).
cnf(s564,plain,
( ~ spl132_151
| ~ spl132_154
| ~ spl132_351
| spl132_422 ),
inference(sat_conversion,[],[f41820]) ).
cnf(s592,plain,
( ~ spl132_96
| spl132_127 ),
inference(sat_conversion,[],[f42307]) ).
cnf(s594,plain,
( ~ spl132_100
| ~ spl132_117
| ~ spl132_127
| spl132_449 ),
inference(sat_conversion,[],[f42322]) ).
cnf(s595,plain,
( ~ spl132_100
| spl132_129 ),
inference(sat_conversion,[],[f42334]) ).
cnf(s599,plain,
( spl132_115
| ~ spl132_351 ),
inference(sat_conversion,[],[f42397]) ).
cnf(s601,plain,
( spl132_119
| ~ spl132_227 ),
inference(sat_conversion,[],[f42418]) ).
cnf(s613,plain,
( ~ spl132_83
| ~ spl132_193
| spl132_468 ),
inference(sat_conversion,[],[f42735]) ).
cnf(s614,plain,
( spl132_148
| ~ spl132_468 ),
inference(sat_conversion,[],[f42769]) ).
cnf(s615,plain,
( spl132_117
| ~ spl132_468 ),
inference(sat_conversion,[],[f42770]) ).
cnf(s621,plain,
( ~ spl132_97
| spl132_193
| ~ spl132_215
| ~ spl132_332
| spl132_469 ),
inference(sat_conversion,[],[f42854]) ).
cnf(s644,plain,
( ~ spl132_81
| ~ spl132_196
| spl132_481 ),
inference(sat_conversion,[],[f43278]) ).
cnf(s680,plain,
( ~ spl132_50
| spl132_77
| ~ spl132_80
| ~ spl132_113
| ~ spl132_129
| spl132_507 ),
inference(sat_conversion,[],[f43491]) ).
cnf(s681,plain,
( ~ spl132_50
| spl132_77
| ~ spl132_80
| ~ spl132_114
| ~ spl132_119
| spl132_506 ),
inference(sat_conversion,[],[f43493]) ).
cnf(s682,plain,
( ~ spl132_50
| spl132_77
| ~ spl132_80
| ~ spl132_113
| ~ spl132_129
| spl132_508 ),
inference(sat_conversion,[],[f43497]) ).
cnf(s704,plain,
( ~ spl132_77
| ~ spl132_100
| spl132_481 ),
inference(sat_conversion,[],[f43558]) ).
cnf(s713,plain,
( ~ spl132_96
| ~ spl132_120
| ~ spl132_515
| spl132_517 ),
inference(sat_conversion,[],[f43590]) ).
cnf(s719,plain,
( ~ spl132_130
| ~ spl132_351
| ~ spl132_499
| spl132_518 ),
inference(sat_conversion,[],[f43604]) ).
cnf(s798,plain,
( ~ spl132_100
| ~ spl132_115
| ~ spl132_125
| spl132_570 ),
inference(sat_conversion,[],[f44360]) ).
cnf(s889,plain,
( ~ spl132_1
| spl132_44
| ~ spl132_616 ),
inference(sat_conversion,[],[f45452]) ).
cnf(s1077,plain,
( ~ spl132_96
| spl132_430 ),
inference(sat_conversion,[],[f49796]) ).
cnf(s1105,plain,
( ~ spl132_53
| spl132_73
| ~ spl132_76
| spl132_376
| ~ spl132_430
| ~ spl132_469 ),
inference(sat_conversion,[],[f49947]) ).
cnf(s1289,plain,
( ~ spl132_351
| spl132_783 ),
inference(sat_conversion,[],[f51979]) ).
cnf(s1290,plain,
( ~ spl132_405
| spl132_782
| ~ spl132_783 ),
inference(sat_conversion,[],[f51990]) ).
cnf(s2040,plain,
( ~ spl132_481
| spl132_616 ),
inference(sat_conversion,[],[f74994]) ).
cnf(s2230,plain,
( ~ spl132_81
| ~ spl132_508
| spl132_515 ),
inference(sat_conversion,[],[f75986]) ).
cnf(s2239,plain,
( ~ spl132_53
| spl132_73
| ~ spl132_76
| ~ spl132_110
| ~ spl132_449
| spl132_1208 ),
inference(sat_conversion,[],[f76025]) ).
cnf(s2260,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_50
| ~ spl132_57
| spl132_77
| ~ spl132_150
| ~ spl132_169
| spl132_519 ),
inference(sat_conversion,[],[f76103]) ).
cnf(s2279,plain,
( ~ spl132_73
| ~ spl132_96
| spl132_481 ),
inference(sat_conversion,[],[f76158]) ).
cnf(s2342,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_53
| ~ spl132_57
| spl132_73
| ~ spl132_150
| ~ spl132_424
| spl132_733 ),
inference(sat_conversion,[],[f76348]) ).
cnf(s2423,plain,
( ~ spl132_69
| ~ spl132_351
| spl132_468 ),
inference(sat_conversion,[],[f76577]) ).
cnf(s2475,plain,
( ~ spl132_56
| spl132_69
| spl132_71
| ~ spl132_72
| ~ spl132_85 ),
inference(sat_conversion,[],[f76782]) ).
cnf(s2476,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_45
| ~ spl132_48
| ~ spl132_57
| ~ spl132_71
| ~ spl132_79
| spl132_1289
| ~ spl132_1290
| ~ spl132_1291
| ~ spl132_1312 ),
inference(sat_conversion,[],[f76787]) ).
cnf(s2477,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_45
| ~ spl132_48
| ~ spl132_57
| ~ spl132_71
| ~ spl132_79
| ~ spl132_149
| ~ spl132_519
| spl132_521
| ~ spl132_1290
| ~ spl132_1291
| ~ spl132_1312 ),
inference(sat_conversion,[],[f76788]) ).
cnf(s2530,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| ~ spl132_48
| ~ spl132_56
| ~ spl132_57
| spl132_69
| ~ spl132_150
| ~ spl132_422
| spl132_1291 ),
inference(sat_conversion,[],[f76995]) ).
cnf(s2593,plain,
( ~ spl132_148
| ~ spl132_217
| spl132_432 ),
inference(sat_conversion,[],[f77190]) ).
cnf(s2594,plain,
( ~ spl132_217
| spl132_405
| ~ spl132_433 ),
inference(sat_conversion,[],[f77191]) ).
cnf(s2599,plain,
( ~ spl132_81
| spl132_125
| ~ spl132_782 ),
inference(sat_conversion,[],[f77196]) ).
cnf(s2600,plain,
( ~ spl132_69
| spl132_196
| ~ spl132_782 ),
inference(sat_conversion,[],[f77197]) ).
cnf(s2610,plain,
( ~ spl132_83
| spl132_499
| ~ spl132_506 ),
inference(sat_conversion,[],[f77219]) ).
cnf(s2667,plain,
( ~ spl132_56
| spl132_69
| ~ spl132_72
| ~ spl132_110
| ~ spl132_570
| spl132_1312 ),
inference(sat_conversion,[],[f77363]) ).
cnf(s2671,plain,
( ~ spl132_38
| ~ spl132_39
| spl132_40
| spl132_46
| ~ spl132_48
| ~ spl132_57
| ~ spl132_75
| ~ spl132_79
| spl132_732
| ~ spl132_733
| ~ spl132_1207
| ~ spl132_1208 ),
inference(sat_conversion,[],[f77399]) ).
cnf(s2688,plain,
( ~ spl132_126
| spl132_397 ),
inference(sat_conversion,[],[f77483]) ).
cnf(s2749,plain,
( ~ spl132_71
| ~ spl132_95
| ~ spl132_1288
| spl132_1312 ),
inference(sat_conversion,[],[f77883]) ).
cnf(s2763,plain,
( ~ spl132_75
| ~ spl132_95
| ~ spl132_747
| spl132_1208 ),
inference(sat_conversion,[],[f77936]) ).
cnf(s2800,plain,
( ~ spl132_83
| ~ spl132_376
| spl132_389 ),
inference(sat_conversion,[],[f78254]) ).
cnf(s2803,plain,
( ~ spl132_81
| ~ spl132_377
| spl132_390 ),
inference(sat_conversion,[],[f78302]) ).
cnf(s2806,plain,
( ~ spl132_100
| ~ spl132_389
| ~ spl132_390
| spl132_747 ),
inference(sat_conversion,[],[f78333]) ).
cnf(s2807,plain,
( ~ spl132_83
| ~ spl132_396
| spl132_409 ),
inference(sat_conversion,[],[f78349]) ).
cnf(s2810,plain,
( ~ spl132_81
| ~ spl132_397
| spl132_410 ),
inference(sat_conversion,[],[f78397]) ).
cnf(s2817,plain,
( ~ spl132_99
| ~ spl132_104
| spl132_126
| spl132_196
| ~ spl132_217
| ~ spl132_783 ),
inference(sat_conversion,[],[f78460]) ).
cnf(s2847,plain,
( ~ spl132_100
| ~ spl132_409
| ~ spl132_410
| spl132_1288 ),
inference(sat_conversion,[],[f78517]) ).
cnf(s2918,plain,
( ~ spl132_79
| ~ spl132_93
| ~ spl132_518
| spl132_1290 ),
inference(sat_conversion,[],[f79090]) ).
cnf(s2935,plain,
( ~ spl132_79
| ~ spl132_94
| ~ spl132_517
| spl132_1207 ),
inference(sat_conversion,[],[f79231]) ).
cnf(s2944,plain,
( ~ spl132_1290
| ~ spl132_1312
| spl132_1513 ),
inference(sat_conversion,[],[f79305]) ).
cnf(s2969,plain,
( spl132_521
| ~ spl132_1289
| ~ spl132_1513 ),
inference(sat_conversion,[],[f79608]) ).
cnf(s3026,plain,
( ~ spl132_1207
| ~ spl132_1208
| spl132_1573 ),
inference(sat_conversion,[],[f80168]) ).
cnf(s3031,plain,
( spl132_521
| ~ spl132_732
| ~ spl132_1573 ),
inference(sat_conversion,[],[f80230]) ).
cnf(s3324,plain,
( ~ spl132_81
| spl132_481
| ~ spl132_507
| ~ spl132_521 ),
inference(sat_conversion,[],[f84407]) ).
cnf(s3349,plain,
spl132_153,
inference(rat,[],[s142,s59,s46]) ).
cnf(s3350,plain,
~ spl132_105,
inference(rat,[],[s99,s47,s46]) ).
cnf(s3354,plain,
spl132_227,
inference(rat,[],[s211,s46,s59,s51,s44]) ).
cnf(s3355,plain,
spl132_80,
inference(rat,[],[s148,s46,s59,s51,s44]) ).
cnf(s3356,plain,
spl132_151,
inference(rat,[],[s143,s59,s44]) ).
cnf(s3358,plain,
spl132_100,
inference(rat,[],[s85,s46,s59,s51,s44]) ).
cnf(s3359,plain,
spl132_119,
inference(rat,[],[s601,s3354]) ).
cnf(s3360,plain,
spl132_169,
inference(rat,[],[s150,s59,s3355]) ).
cnf(s3363,plain,
spl132_129,
inference(rat,[],[s595,s3358]) ).
cnf(s3373,plain,
spl132_332,
inference(rat,[],[s369,s42,s3350,s59,s50,s43,s41]) ).
cnf(s3379,plain,
spl132_214,
inference(rat,[],[s202,s42,s3350,s59,s53,s50,s45,s44,s43,s41]) ).
cnf(s3380,plain,
spl132_213,
inference(rat,[],[s200,s42,s3350,s59,s56,s50,s47,s46,s43,s41]) ).
cnf(s3382,plain,
spl132_154,
inference(rat,[],[s134,s42,s3349,s59,s56,s50,s47,s46,s43,s41]) ).
cnf(s3383,plain,
spl132_152,
inference(rat,[],[s133,s42,s3356,s59,s53,s50,s45,s44,s43,s41]) ).
cnf(s3384,plain,
spl132_150,
inference(rat,[],[s132,s42,s50,s43,s41]) ).
cnf(s3385,plain,
spl132_114,
inference(rat,[],[s98,s42,s3350,s59,s53,s50,s45,s44,s43,s41]) ).
cnf(s3386,plain,
spl132_113,
inference(rat,[],[s97,s42,s3350,s59,s56,s50,s47,s46,s43,s41]) ).
cnf(s3389,plain,
spl132_85,
inference(rat,[],[s71,s42,s59,s50,s43,s41]) ).
cnf(s3390,plain,
spl132_68,
inference(rat,[],[s65,s42,s50,s43,s41]) ).
cnf(s3442,plain,
spl132_99,
inference(rat,[],[s424,s59,s3382]) ).
cnf(s3445,plain,
spl132_97,
inference(rat,[],[s437,s59,s3383]) ).
cnf(s3460,plain,
spl132_82,
inference(rat,[],[s123,s46,s47,s56,s3389]) ).
cnf(s3461,plain,
spl132_84,
inference(rat,[],[s122,s44,s45,s53,s3389]) ).
cnf(s3530,plain,
spl132_351,
inference(rat,[],[s411,s44,s57,s59,s3442]) ).
cnf(s3531,plain,
spl132_72,
inference(rat,[],[s523,s44,s57,s59,s3442]) ).
cnf(s3534,plain,
spl132_76,
inference(rat,[],[s524,s46,s54,s59,s3445]) ).
cnf(s3535,plain,
spl132_96,
inference(rat,[],[s454,s46,s54,s59,s3445]) ).
cnf(s3539,plain,
spl132_81,
inference(rat,[],[s69,s41,s42,s59,s56,s50,s47,s46,s43,s3460]) ).
cnf(s3540,plain,
spl132_83,
inference(rat,[],[s70,s41,s42,s59,s53,s50,s45,s44,s43,s3461]) ).
cnf(s3578,plain,
spl132_783,
inference(rat,[],[s1289,s3530]) ).
cnf(s3579,plain,
spl132_115,
inference(rat,[],[s599,s3530]) ).
cnf(s3580,plain,
spl132_422,
inference(rat,[],[s564,s3382,s3356,s3530]) ).
cnf(s3582,plain,
spl132_424,
inference(rat,[],[s542,s59,s3534]) ).
cnf(s3584,plain,
spl132_430,
inference(rat,[],[s1077,s3535]) ).
cnf(s3585,plain,
spl132_127,
inference(rat,[],[s592,s3535]) ).
cnf(s3605,plain,
~ spl132_616,
inference(rat,[],[s889,s47,s1]) ).
cnf(s3611,plain,
~ spl132_481,
inference(rat,[],[s2040,s3605]) ).
cnf(s3617,plain,
~ spl132_77,
inference(rat,[],[s704,s3358,s3611]) ).
cnf(s3618,plain,
~ spl132_73,
inference(rat,[],[s2279,s3535,s3611]) ).
cnf(s3619,plain,
~ spl132_196,
inference(rat,[],[s644,s3539,s3611]) ).
cnf(s3623,plain,
spl132_508,
inference(rat,[],[s682,s3386,s3363,s3355,s52,s3617]) ).
cnf(s3624,plain,
spl132_506,
inference(rat,[],[s681,s3385,s3359,s3355,s52,s3617]) ).
cnf(s3625,plain,
spl132_507,
inference(rat,[],[s680,s3386,s3363,s3355,s52,s3617]) ).
cnf(s3634,plain,
spl132_79,
inference(rat,[],[s118,s3389,s3355,s52,s3617]) ).
cnf(s3635,plain,
spl132_130,
inference(rat,[],[s108,s3386,s3363,s3355,s52,s3617]) ).
cnf(s3636,plain,
spl132_120,
inference(rat,[],[s103,s3385,s3359,s3355,s52,s3617]) ).
cnf(s3655,plain,
spl132_519,
inference(rat,[],[s2260,s3384,s3360,s41,s42,s59,s52,s50,s43,s3617]) ).
cnf(s3667,plain,
spl132_110,
inference(rat,[],[s94,s41,s3350,s3355,s42,s59,s52,s50,s43,s3617]) ).
cnf(s3669,plain,
spl132_95,
inference(rat,[],[s80,s41,s3355,s42,s59,s52,s50,s43,s3617]) ).
cnf(s3702,plain,
spl132_377,
inference(rat,[],[s460,s3585,s3534,s3386,s55,s3618]) ).
cnf(s3704,plain,
spl132_75,
inference(rat,[],[s117,s3389,s3534,s55,s3618]) ).
cnf(s3708,plain,
spl132_733,
inference(rat,[],[s2342,s3582,s3384,s41,s42,s59,s55,s50,s43,s3618]) ).
cnf(s3741,plain,
spl132_94,
inference(rat,[],[s79,s3534,s41,s42,s59,s55,s50,s43,s3618]) ).
cnf(s3774,plain,
spl132_217,
inference(rat,[],[s443,s3539,s3380,s3442,s3386,s3619]) ).
cnf(s3779,plain,
spl132_515,
inference(rat,[],[s2230,s3539,s3623]) ).
cnf(s3781,plain,
spl132_499,
inference(rat,[],[s2610,s3540,s3624]) ).
cnf(s3785,plain,
~ spl132_521,
inference(rat,[],[s3324,s3611,s3539,s3625]) ).
cnf(s3818,plain,
spl132_390,
inference(rat,[],[s2803,s3539,s3702]) ).
cnf(s3857,plain,
spl132_517,
inference(rat,[],[s713,s3636,s3535,s3779]) ).
cnf(s3859,plain,
spl132_518,
inference(rat,[],[s719,s3635,s3530,s3781]) ).
cnf(s3866,plain,
spl132_1207,
inference(rat,[],[s2935,s3741,s3634,s3857]) ).
cnf(s3870,plain,
( ~ spl132_782
| spl132_45 ),
inference(rat,[],[s2969,s2476,s2944,s2918,s2667,s78,s2530,s2475,s798,s2600,s2599,s3785,s43,s42,s50,s59,s41,s3634,s3859,s58,s3531,s3667,s3384,s3580,s3389,s3358,s3579,s3619,s3539]) ).
cnf(s3871,plain,
spl132_45,
inference(rat,[],[s2847,s2749,s2810,s2477,s2688,s2918,s2817,s2807,s78,s89,s2530,s490,s2475,s131,s2423,s258,s614,s2593,s562,s2594,s1290,s3870,s3358,s3669,s3539,s43,s42,s50,s59,s41,s3634,s3655,s3785,s3859,s3442,s3619,s3774,s3578,s3540,s58,s3531,s3350,s3384,s3580,s3385,s3579,s3389,s3390,s3530,s44]) ).
cnf(s3872,plain,
~ spl132_46,
inference(rat,[],[s48,s3871]) ).
cnf(s4012,plain,
spl132_1208,
inference(rat,[],[s621,s447,s1105,s613,s2800,s615,s2806,s594,s2763,s2239,s3445,s3373,s3385,s3379,s3540,s55,s3534,s3584,s3618,s3358,s3818,s3585,s3669,s3704,s3667]) ).
cnf(s4016,plain,
spl132_1573,
inference(rat,[],[s3026,s3866,s4012]) ).
cnf(s4018,plain,
spl132_732,
inference(rat,[],[s2671,s3872,s3866,s3708,s3704,s3634,s41,s59,s50,s42,s43,s4012]) ).
cnf(s4019,plain,
$false,
inference(rat,[],[s3031,s3785,s4016,s4018]) ).
fof(f84412,plain,
$false,
inference(avatar_sat_refutation,[],[s4019]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT315+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 14:32:38 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.61/4.82 % (871455)Detected formulas, will run a generic FOF schedule.
% 15.61/4.82 % (871464)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3137427022:i=119:av=off:ss=axioms_2977 on theBenchmark for (2977ds/119Mi)
% 15.61/4.82 % (871460)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=703951885:i=141193_2977 on theBenchmark for (2977ds/141193Mi)
% 15.61/4.82 % (871466)dis-21_1_sil=8000:lcm=predicate:random_seed=3937732120:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2977 on theBenchmark for (2977ds/129Mi)
% 15.61/4.82 % (871462)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=2443068216:i=141695:sd=1:nm=32:gsp=on:ss=included_2977 on theBenchmark for (2977ds/141695Mi)
% 15.61/4.82 % (871461)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=610030680:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2977 on theBenchmark for (2977ds/134677Mi)
% 15.61/4.82 % (871463)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=704089212:i=109:sd=1:ins=1:gsp=on:ss=axioms_2977 on theBenchmark for (2977ds/109Mi)
% 15.61/4.82 % (871464)Instruction limit reached!
% 15.61/4.82 % (871464)------------------------------
% 15.61/4.82 % (871464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.61/4.82 % (871464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.61/4.82 % (871464)CaDiCaL version: 2.1.3
% 15.61/4.82 % (871464)Termination reason: Instruction limit
% 15.61/4.82 % (871464)Termination phase: SInE selection
% 15.61/4.82 % (871464)Time elapsed: 0.053 s
% 15.61/4.82 % (871464)Peak memory usage: 136 MB
% 15.61/4.82 % (871464)Instructions burned: 122 (million)
% 15.61/4.82 % (871465)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=127192770:s2a=on:i=139:gtg=position_2977 on theBenchmark for (2977ds/139Mi)
% 15.61/4.82 % (871465)Instruction limit reached!
% 15.61/4.82 % (871465)------------------------------
% 15.61/4.82 % (871465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.61/4.82 % (871465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.61/4.82 % (871465)CaDiCaL version: 2.1.3
% 15.61/4.82 % (871465)Termination reason: Instruction limit
% 15.61/4.82 % (871465)Termination phase: Property scanning
% 15.61/4.82 % (871465)Time elapsed: 0.045 s
% 15.61/4.82 % (871465)Peak memory usage: 136 MB
% 15.61/4.82 % (871465)Instructions burned: 139 (million)
% 15.61/4.82 % (871463)Instruction limit reached!
% 15.61/4.82 % (871463)------------------------------
% 15.61/4.82 % (871463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.61/4.82 % (871463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.61/4.82 % (871463)CaDiCaL version: 2.1.3
% 15.61/4.82 % (871463)Termination reason: Instruction limit
% 15.61/4.82 % (871463)Termination phase: SInE selection
% 15.61/4.82 % (871463)Time elapsed: 0.078 s
% 15.61/4.82 % (871463)Peak memory usage: 136 MB
% 15.61/4.82 % (871463)Instructions burned: 110 (million)
% 15.61/4.82 % (871466)Instruction limit reached!
% 15.61/4.82 % (871466)------------------------------
% 15.61/4.82 % (871466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.61/4.82 % (871466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.61/4.82 % (871466)CaDiCaL version: 2.1.3
% 15.61/4.82 % (871466)Termination reason: Instruction limit
% 15.61/4.82 % (871466)Termination phase: SInE selection
% 15.61/4.82 % (871466)Time elapsed: 0.090 s
% 15.61/4.82 % (871466)Peak memory usage: 136 MB
% 15.61/4.82 % (871466)Instructions burned: 130 (million)
% 15.61/4.82 % (871475)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2140569100:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/157Mi)
% 15.61/4.82 % (871474)lrs+10_1_sil=8000:sp=occurrence:random_seed=4165191960:i=285:sd=3:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/285Mi)
% 15.61/4.82 % (871475)Instruction limit reached!
% 15.61/4.82 % (871475)------------------------------
% 15.61/4.82 % (871475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.61/4.82 % (871475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.61/4.82 % (871475)CaDiCaL version: 2.1.3
% 15.61/4.82 % (871475)Termination reason: Instruction limit
% 15.61/4.82 % (871475)Termination phase: Property scanning
% 23.52/5.97 % (871475)Time elapsed: 0.038 s
% 23.52/5.97 % (871475)Peak memory usage: 136 MB
% 23.52/5.97 % (871475)Instructions burned: 160 (million)
% 23.52/5.97 % (871477)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=1112430666:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 23.52/5.97 % (871476)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2567641926:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 23.52/5.97 % (871480)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=972401084:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2974 on theBenchmark for (2974ds/294Mi)
% 23.52/5.97 % (871477)Instruction limit reached!
% 23.52/5.97 % (871477)------------------------------
% 23.52/5.97 % (871477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.52/5.97 % (871477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.52/5.97 % (871477)CaDiCaL version: 2.1.3
% 23.52/5.97 % (871477)Termination reason: Instruction limit
% 23.52/5.97 % (871477)Termination phase: Property scanning
% 23.52/5.97 % (871477)Time elapsed: 0.106 s
% 23.52/5.97 % (871477)Peak memory usage: 136 MB
% 23.52/5.97 % (871477)Instructions burned: 248 (million)
% 23.52/5.97 % (871474)Instruction limit reached!
% 23.52/5.97 % (871474)------------------------------
% 23.52/5.97 % (871474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.52/5.97 % (871474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.52/5.97 % (871474)CaDiCaL version: 2.1.3
% 23.52/5.97 % (871474)Termination reason: Instruction limit
% 23.52/5.97 % (871474)Termination phase: Saturation
% 23.52/5.97 % (871474)Time elapsed: 0.228 s
% 23.52/5.97 % (871474)Peak memory usage: 141 MB
% 23.52/5.97 % (871474)Instructions burned: 286 (million)
% 23.52/5.97 % (871480)Instruction limit reached!
% 23.52/5.97 % (871480)------------------------------
% 23.52/5.97 % (871480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.52/5.97 % (871480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.52/5.97 % (871480)CaDiCaL version: 2.1.3
% 23.52/5.97 % (871480)Termination reason: Instruction limit
% 23.52/5.97 % (871480)Termination phase: SInE selection
% 23.52/5.97 % (871480)Time elapsed: 0.102 s
% 23.52/5.97 % (871480)Peak memory usage: 137 MB
% 23.52/5.97 % (871480)Instructions burned: 295 (million)
% 23.52/5.97 % (871486)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2204046517:i=127:av=off:fsr=off:sup=off_2972 on theBenchmark for (2972ds/127Mi)
% 23.52/5.97 % (871484)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1275331735:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 23.52/5.97 % (871476)Instruction limit reached!
% 23.52/5.97 % (871476)------------------------------
% 23.52/5.97 % (871476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.52/5.97 % (871476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.52/5.97 % (871476)CaDiCaL version: 2.1.3
% 23.52/5.97 % (871476)Termination reason: Instruction limit
% 23.52/5.97 % (871476)Termination phase: Saturation
% 23.52/5.97 % (871476)Time elapsed: 0.261 s
% 23.52/5.97 % (871476)Peak memory usage: 142 MB
% 23.52/5.97 % (871476)Instructions burned: 325 (million)
% 23.52/5.97 % (871485)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1861225161:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 23.52/5.97 % (871486)Instruction limit reached!
% 23.52/5.97 % (871486)------------------------------
% 23.52/5.97 % (871486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.52/5.97 % (871486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.52/5.97 % (871486)CaDiCaL version: 2.1.3
% 23.52/5.97 % (871486)Termination reason: Instruction limit
% 23.52/5.97 % (871486)Termination phase: Preprocessing 1
% 23.52/5.97 % (871486)Time elapsed: 0.058 s
% 23.52/5.97 % (871486)Peak memory usage: 137 MB
% 23.52/5.97 % (871486)Instructions burned: 129 (million)
% 23.52/5.97 % (871485)Instruction limit reached!
% 23.52/5.97 % (871485)------------------------------
% 23.52/5.97 % (871485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.52/5.97 % (871485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.52/5.97 % (871485)CaDiCaL version: 2.1.3
% 23.52/5.97 % (871485)Termination reason: Instruction limit
% 23.52/5.97 % (871485)Termination phase: SInE selection
% 23.52/5.97 % (871485)Time elapsed: 0.091 s
% 47.60/9.28 % (871485)Peak memory usage: 136 MB
% 47.60/9.28 % (871485)Instructions burned: 114 (million)
% 47.60/9.28 % (871491)lrs+10_1_sil=8000:sp=occurrence:random_seed=468904088:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2971 on theBenchmark for (2971ds/907Mi)
% 47.60/9.28 % (871489)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3754021850:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2971 on theBenchmark for (2971ds/114Mi)
% 47.60/9.28 % (871489)Instruction limit reached!
% 47.60/9.28 % (871489)------------------------------
% 47.60/9.28 % (871489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.60/9.28 % (871489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.60/9.28 % (871489)CaDiCaL version: 2.1.3
% 47.60/9.28 % (871489)Termination reason: Instruction limit
% 47.60/9.28 % (871489)Termination phase: Property scanning
% 47.60/9.28 % (871489)Time elapsed: 0.052 s
% 47.60/9.28 % (871489)Peak memory usage: 136 MB
% 47.60/9.28 % (871489)Instructions burned: 115 (million)
% 47.60/9.28 % (871492)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1153246452:i=437:sd=1:aac=none:ss=included_2970 on theBenchmark for (2970ds/437Mi)
% 47.60/9.28 % (871495)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3815875311:i=5202:ss=axioms:sgt=16_2969 on theBenchmark for (2969ds/5202Mi)
% 47.60/9.28 % (871491)Instruction limit reached!
% 47.60/9.28 % (871491)------------------------------
% 47.60/9.28 % (871491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.60/9.28 % (871491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.60/9.28 % (871491)CaDiCaL version: 2.1.3
% 47.60/9.28 % (871491)Termination reason: Instruction limit
% 47.60/9.28 % (871491)Termination phase: Property scanning
% 47.60/9.28 % (871491)Time elapsed: 0.354 s
% 47.60/9.28 % (871491)Peak memory usage: 158 MB
% 47.60/9.28 % (871491)Instructions burned: 909 (million)
% 47.60/9.28 % (871492)Instruction limit reached!
% 47.60/9.28 % (871492)------------------------------
% 47.60/9.28 % (871492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.60/9.28 % (871492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.60/9.28 % (871492)CaDiCaL version: 2.1.3
% 47.60/9.28 % (871492)Termination reason: Instruction limit
% 47.60/9.28 % (871492)Termination phase: Saturation
% 47.60/9.28 % (871492)Time elapsed: 0.311 s
% 47.60/9.28 % (871492)Peak memory usage: 144 MB
% 47.60/9.28 % (871492)Instructions burned: 437 (million)
% 47.60/9.28 % (871498)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3013431670:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2966 on theBenchmark for (2966ds/134Mi)
% 47.60/9.28 % (871498)Instruction limit reached!
% 47.60/9.28 % (871498)------------------------------
% 47.60/9.28 % (871498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.60/9.28 % (871498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.60/9.28 % (871498)CaDiCaL version: 2.1.3
% 47.60/9.28 % (871498)Termination reason: Instruction limit
% 47.60/9.28 % (871498)Termination phase: SInE selection
% 47.60/9.28 % (871498)Time elapsed: 0.058 s
% 47.60/9.28 % (871498)Peak memory usage: 136 MB
% 47.60/9.28 % (871498)Instructions burned: 136 (million)
% 47.60/9.28 % (871500)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3064340616:st=8:i=592:sd=3:ep=RST:ss=axioms_2965 on theBenchmark for (2965ds/592Mi)
% 47.60/9.28 % (871501)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1423449936:st=3:i=13193:sd=3:ss=axioms_2965 on theBenchmark for (2965ds/13193Mi)
% 47.60/9.28 % (871500)Instruction limit reached!
% 47.60/9.28 % (871500)------------------------------
% 47.60/9.28 % (871500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.60/9.28 % (871500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.60/9.28 % (871500)CaDiCaL version: 2.1.3
% 47.60/9.28 % (871500)Termination reason: Instruction limit
% 47.60/9.28 % (871500)Termination phase: Preprocessing 2
% 47.60/9.28 % (871500)Time elapsed: 0.447 s
% 47.60/9.28 % (871500)Peak memory usage: 146 MB
% 47.60/9.28 % (871500)Instructions burned: 592 (million)
% 47.60/9.28 % (871504)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=1966813429:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2959 on theBenchmark for (2959ds/125Mi)
% 47.60/9.28 % (871504)Instruction limit reached!
% 47.60/9.28 % (871504)------------------------------
% 113.85/18.60 % (871504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.85/18.60 % (871504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.85/18.60 % (871504)CaDiCaL version: 2.1.3
% 113.85/18.60 % (871504)Termination reason: Instruction limit
% 113.85/18.60 % (871504)Termination phase: Property scanning
% 113.85/18.60 % (871504)Time elapsed: 0.057 s
% 113.85/18.60 % (871504)Peak memory usage: 136 MB
% 113.85/18.60 % (871504)Instructions burned: 127 (million)
% 113.85/18.60 % (871506)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=617766715:i=134:gtgl=5:slsql=off:gtg=exists_sym_2957 on theBenchmark for (2957ds/134Mi)
% 113.85/18.60 % (871506)Instruction limit reached!
% 113.85/18.60 % (871506)------------------------------
% 113.85/18.60 % (871506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.85/18.60 % (871506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.85/18.60 % (871506)CaDiCaL version: 2.1.3
% 113.85/18.60 % (871506)Termination reason: Instruction limit
% 113.85/18.60 % (871506)Termination phase: Property scanning
% 113.85/18.60 % (871506)Time elapsed: 0.060 s
% 113.85/18.60 % (871506)Peak memory usage: 136 MB
% 113.85/18.60 % (871506)Instructions burned: 135 (million)
% 113.85/18.60 % (871484)Instruction limit reached!
% 113.85/18.60 % (871484)------------------------------
% 113.85/18.60 % (871484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.85/18.60 % (871484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.85/18.60 % (871484)CaDiCaL version: 2.1.3
% 113.85/18.60 % (871484)Termination reason: Instruction limit
% 113.85/18.60 % (871484)Termination phase: Property scanning
% 113.85/18.60 % (871484)Time elapsed: 1.605 s
% 113.85/18.60 % (871484)Peak memory usage: 233 MB
% 113.85/18.60 % (871484)Instructions burned: 2350 (million)
% 113.85/18.60 % (871508)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2277850402:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2955 on theBenchmark for (2955ds/141Mi)
% 113.85/18.60 % (871509)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=787855531:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2955 on theBenchmark for (2955ds/431Mi)
% 113.85/18.60 % (871508)Instruction limit reached!
% 113.85/18.60 % (871508)------------------------------
% 113.85/18.60 % (871508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.85/18.60 % (871508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.85/18.60 % (871508)CaDiCaL version: 2.1.3
% 113.85/18.60 % (871508)Termination reason: Instruction limit
% 113.85/18.60 % (871508)Termination phase: SInE selection
% 113.85/18.60 % (871508)Time elapsed: 0.109 s
% 113.85/18.60 % (871508)Peak memory usage: 136 MB
% 113.85/18.60 % (871508)Instructions burned: 142 (million)
% 113.85/18.60 % (871512)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=3292102183:i=6060:aac=none:ins=25_2953 on theBenchmark for (2953ds/6060Mi)
% 113.85/18.60 % (871509)Instruction limit reached!
% 113.85/18.60 % (871509)------------------------------
% 113.85/18.60 % (871509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.85/18.60 % (871509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.85/18.60 % (871509)CaDiCaL version: 2.1.3
% 113.85/18.60 % (871509)Termination reason: Instruction limit
% 113.85/18.60 % (871509)Termination phase: Saturation
% 113.85/18.60 % (871509)Time elapsed: 0.337 s
% 113.85/18.60 % (871509)Peak memory usage: 144 MB
% 113.85/18.60 % (871509)Instructions burned: 452 (million)
% 113.85/18.60 % (871514)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=3330917367:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2950 on theBenchmark for (2950ds/150Mi)
% 113.85/18.60 % (871514)Instruction limit reached!
% 113.85/18.60 % (871514)------------------------------
% 113.85/18.60 % (871514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.85/18.60 % (871514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.85/18.60 % (871514)CaDiCaL version: 2.1.3
% 113.85/18.60 % (871514)Termination reason: Instruction limit
% 113.85/18.60 % (871514)Termination phase: SInE selection
% 113.85/18.60 % (871514)Time elapsed: 0.120 s
% 113.85/18.60 % (871514)Peak memory usage: 136 MB
% 113.85/18.60 % (871514)Instructions burned: 150 (million)
% 113.85/18.60 % (871516)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=508222352:i=14155:bd=all_2947 on theBenchmark for (2947ds/14155Mi)
% 146.62/23.16 % (871495)Instruction limit reached!
% 146.62/23.16 % (871495)------------------------------
% 146.62/23.16 % (871495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.62/23.16 % (871495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.62/23.16 % (871495)CaDiCaL version: 2.1.3
% 146.62/23.16 % (871495)Termination reason: Instruction limit
% 146.62/23.16 % (871495)Termination phase: Saturation
% 146.62/23.16 % (871495)Time elapsed: 3.789 s
% 146.62/23.16 % (871495)Peak memory usage: 522 MB
% 146.62/23.16 % (871495)Instructions burned: 5203 (million)
% 146.62/23.16 % (871758)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=47087564:i=667:av=off:fsr=off_2929 on theBenchmark for (2929ds/667Mi)
% 146.62/23.16 % (871758)Instruction limit reached!
% 146.62/23.16 % (871758)------------------------------
% 146.62/23.16 % (871758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.62/23.16 % (871758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.62/23.16 % (871758)CaDiCaL version: 2.1.3
% 146.62/23.16 % (871758)Termination reason: Instruction limit
% 146.62/23.16 % (871758)Termination phase: NewCNF
% 146.62/23.16 % (871758)Time elapsed: 0.554 s
% 146.62/23.16 % (871758)Peak memory usage: 185 MB
% 146.62/23.16 % (871758)Instructions burned: 668 (million)
% 146.62/23.16 % (872144)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=3185341765:s2a=on:i=185:s2at=1.8:fdi=4_2922 on theBenchmark for (2922ds/185Mi)
% 146.62/23.16 % (872144)Instruction limit reached!
% 146.62/23.16 % (872144)------------------------------
% 146.62/23.16 % (872144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.62/23.16 % (872144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.62/23.16 % (872144)CaDiCaL version: 2.1.3
% 146.62/23.16 % (872144)Termination reason: Instruction limit
% 146.62/23.16 % (872144)Termination phase: SInE selection
% 146.62/23.16 % (872144)Time elapsed: 0.127 s
% 146.62/23.16 % (872144)Peak memory usage: 136 MB
% 146.62/23.16 % (872144)Instructions burned: 186 (million)
% 146.62/23.16 % (872289)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=313914832:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2920 on theBenchmark for (2920ds/193Mi)
% 146.62/23.16 % (871501)Instruction limit reached!
% 146.62/23.16 % (871501)------------------------------
% 146.62/23.16 % (871501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.62/23.16 % (871501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.62/23.16 % (871501)CaDiCaL version: 2.1.3
% 146.62/23.16 % (871501)Termination reason: Instruction limit
% 146.62/23.16 % (871501)Termination phase: Saturation
% 146.62/23.16 % (871501)Time elapsed: 4.564 s
% 146.62/23.16 % (871501)Peak memory usage: 359 MB
% 146.62/23.16 % (871501)Instructions burned: 13196 (million)
% 146.62/23.16 % (872398)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3708063986:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2918 on theBenchmark for (2918ds/4850Mi)
% 146.62/23.16 % (872289)Instruction limit reached!
% 146.62/23.16 % (872289)------------------------------
% 146.62/23.16 % (872289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.62/23.16 % (872289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.62/23.16 % (872289)CaDiCaL version: 2.1.3
% 146.62/23.16 % (872289)Termination reason: Instruction limit
% 146.62/23.16 % (872289)Termination phase: SInE selection
% 146.62/23.16 % (872289)Time elapsed: 0.153 s
% 146.62/23.16 % (872289)Peak memory usage: 136 MB
% 146.62/23.16 % (872289)Instructions burned: 193 (million)
% 146.62/23.16 % (872445)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2586172119:i=12111:sd=1:ss=included_2917 on theBenchmark for (2917ds/12111Mi)
% 146.62/23.16 % (871512)Instruction limit reached!
% 146.62/23.16 % (871512)------------------------------
% 146.62/23.16 % (871512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 146.62/23.16 % (871512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 146.62/23.16 % (871512)CaDiCaL version: 2.1.3
% 146.62/23.16 % (871512)Termination reason: Instruction limit
% 146.62/23.16 % (871512)Termination phase: Function definition elimination
% 146.62/23.16 % (871512)Time elapsed: 3.856 s
% 146.62/23.16 % (871512)Peak memory usage: 245 MB
% 181.20/28.11 % (871512)Instructions burned: 6062 (million)
% 181.20/28.11 % (872530)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4196828626:i=319:kws=precedence:fsr=off_2913 on theBenchmark for (2913ds/319Mi)
% 181.20/28.11 % (872530)Instruction limit reached!
% 181.20/28.11 % (872530)------------------------------
% 181.20/28.11 % (872530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 181.20/28.11 % (872530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.20/28.11 % (872530)CaDiCaL version: 2.1.3
% 181.20/28.11 % (872530)Termination reason: Instruction limit
% 181.20/28.11 % (872530)Termination phase: Unused predicate definition removal
% 181.20/28.11 % (872530)Time elapsed: 0.359 s
% 181.20/28.11 % (872530)Peak memory usage: 142 MB
% 181.20/28.11 % (872530)Instructions burned: 319 (million)
% 181.20/28.11 % (872563)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3195693952:i=2064:ep=RST_2907 on theBenchmark for (2907ds/2064Mi)
% 181.20/28.11 % (872398)Instruction limit reached!
% 181.20/28.11 % (872398)------------------------------
% 181.20/28.11 % (872398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 181.20/28.11 % (872398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.20/28.11 % (872398)CaDiCaL version: 2.1.3
% 181.20/28.11 % (872398)Termination reason: Instruction limit
% 181.20/28.11 % (872398)Termination phase: Property scanning
% 181.20/28.11 % (872398)Time elapsed: 2.081 s
% 181.20/28.11 % (872398)Peak memory usage: 220 MB
% 181.20/28.11 % (872398)Instructions burned: 4852 (million)
% 181.20/28.11 % (872565)dis-1011_128_sil=32000:random_seed=2048268640:i=3706:ep=RST:av=off_2896 on theBenchmark for (2896ds/3706Mi)
% 181.20/28.11 % (872563)Instruction limit reached!
% 181.20/28.11 % (872563)------------------------------
% 181.20/28.11 % (872563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 181.20/28.11 % (872563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.20/28.11 % (872563)CaDiCaL version: 2.1.3
% 181.20/28.11 % (872563)Termination reason: Instruction limit
% 181.20/28.11 % (872563)Termination phase: Property scanning
% 181.20/28.11 % (872563)Time elapsed: 2.286 s
% 181.20/28.11 % (872563)Peak memory usage: 233 MB
% 181.20/28.11 % (872563)Instructions burned: 2065 (million)
% 181.20/28.11 % (872567)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2904229684:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2882 on theBenchmark for (2882ds/757Mi)
% 181.20/28.11 % (872565)Instruction limit reached!
% 181.20/28.11 % (872565)------------------------------
% 181.20/28.11 % (872565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 181.20/28.11 % (872565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.20/28.11 % (872565)CaDiCaL version: 2.1.3
% 181.20/28.11 % (872565)Termination reason: Instruction limit
% 181.20/28.11 % (872565)Termination phase: Function definition elimination
% 181.20/28.11 % (872565)Time elapsed: 1.950 s
% 181.20/28.11 % (872565)Peak memory usage: 242 MB
% 181.20/28.11 % (872565)Instructions burned: 3707 (million)
% 181.20/28.11 % (872569)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3501562265:i=13913:ss=axioms:sgt=8_2874 on theBenchmark for (2874ds/13913Mi)
% 181.20/28.11 % (872567)Instruction limit reached!
% 181.20/28.11 % (872567)------------------------------
% 181.20/28.11 % (872567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 181.20/28.11 % (872567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.20/28.11 % (872567)CaDiCaL version: 2.1.3
% 181.20/28.11 % (872567)Termination reason: Instruction limit
% 181.20/28.11 % (872567)Termination phase: Saturation
% 181.20/28.11 % (872567)Time elapsed: 0.949 s
% 181.20/28.11 % (872567)Peak memory usage: 145 MB
% 181.20/28.11 % (872567)Instructions burned: 759 (million)
% 181.20/28.11 % (872571)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3090726738:i=9925:aac=none_2869 on theBenchmark for (2869ds/9925Mi)
% 181.20/28.11 % (871516)Instruction limit reached!
% 181.20/28.11 % (871516)------------------------------
% 181.20/28.11 % (871516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 181.20/28.11 % (871516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 181.20/28.11 % (871516)CaDiCaL version: 2.1.3
% 181.20/28.11 % (871516)Termination reason: Instruction limit
% 181.20/28.11 % (871516)Termination phase: Saturation
% 181.20/28.11 % (871516)Time elapsed: 12.630 s
% 181.20/28.11 % (871516)Peak memory usage: 1477 MB
% 210.34/32.19 % (871516)Instructions burned: 14157 (million)
% 210.34/32.19 % (872573)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1525321971:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2817 on theBenchmark for (2817ds/2479Mi)
% 210.34/32.19 % (872569)Instruction limit reached!
% 210.34/32.19 % (872569)------------------------------
% 210.34/32.19 % (872569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 210.34/32.19 % (872569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.34/32.19 % (872569)CaDiCaL version: 2.1.3
% 210.34/32.19 % (872569)Termination reason: Instruction limit
% 210.34/32.19 % (872569)Termination phase: Saturation
% 210.34/32.19 % (872569)Time elapsed: 8.294 s
% 210.34/32.19 % (872569)Peak memory usage: 261 MB
% 210.34/32.19 % (872569)Instructions burned: 13915 (million)
% 210.34/32.19 % (872573)Instruction limit reached!
% 210.34/32.19 % (872573)------------------------------
% 210.34/32.19 % (872573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 210.34/32.19 % (872573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.34/32.19 % (872573)CaDiCaL version: 2.1.3
% 210.34/32.19 % (872573)Termination reason: Instruction limit
% 210.34/32.19 % (872573)Termination phase: Saturation
% 210.34/32.19 % (872573)Time elapsed: 2.698 s
% 210.34/32.19 % (872573)Peak memory usage: 155 MB
% 210.34/32.19 % (872573)Instructions burned: 2480 (million)
% 210.34/32.19 % (872575)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3085802441:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2789 on theBenchmark for (2789ds/440Mi)
% 210.34/32.19 % (872576)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1236253024:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2788 on theBenchmark for (2788ds/11145Mi)
% 210.34/32.19 % (872575)Instruction limit reached!
% 210.34/32.19 % (872575)------------------------------
% 210.34/32.19 % (872575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 210.34/32.19 % (872575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.34/32.19 % (872575)CaDiCaL version: 2.1.3
% 210.34/32.19 % (872575)Termination reason: Instruction limit
% 210.34/32.19 % (872575)Termination phase: Property scanning
% 210.34/32.19 % (872575)Time elapsed: 0.101 s
% 210.34/32.19 % (872575)Peak memory usage: 136 MB
% 210.34/32.19 % (872575)Instructions burned: 441 (million)
% 210.34/32.19 % (872579)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=683368182:cts=off:i=3034:av=off:er=known:fsd=on_2786 on theBenchmark for (2786ds/3034Mi)
% 210.34/32.19 % (872445)Instruction limit reached!
% 210.34/32.19 % (872445)------------------------------
% 210.34/32.19 % (872445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 210.34/32.19 % (872445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.34/32.19 % (872445)CaDiCaL version: 2.1.3
% 210.34/32.19 % (872445)Termination reason: Instruction limit
% 210.34/32.19 % (872445)Termination phase: Saturation
% 210.34/32.19 % (872445)Time elapsed: 13.363 s
% 210.34/32.19 % (872445)Peak memory usage: 293 MB
% 210.34/32.19 % (872445)Instructions burned: 12111 (million)
% 210.34/32.19 % (872581)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=964406038:st=2:s2a=on:i=524:s2at=2:ss=axioms_2781 on theBenchmark for (2781ds/524Mi)
% 210.34/32.19 % (872579)Instruction limit reached!
% 210.34/32.19 % (872579)------------------------------
% 210.34/32.19 % (872579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 210.34/32.19 % (872579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.34/32.19 % (872579)CaDiCaL version: 2.1.3
% 210.34/32.19 % (872579)Termination reason: Instruction limit
% 210.34/32.19 % (872579)Termination phase: Property scanning
% 210.34/32.19 % (872579)Time elapsed: 1.022 s
% 210.34/32.19 % (872579)Peak memory usage: 233 MB
% 210.34/32.19 % (872579)Instructions burned: 3039 (million)
% 210.34/32.19 % (872581)Instruction limit reached!
% 210.34/32.19 % (872581)------------------------------
% 210.34/32.19 % (872581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 210.34/32.19 % (872581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.34/32.19 % (872581)CaDiCaL version: 2.1.3
% 210.34/32.19 % (872581)Termination reason: Instruction limit
% 210.34/32.19 % (872581)Termination phase: SInE selection
% 210.34/32.19 % (872581)Time elapsed: 0.446 s
% 210.34/32.19 % (872581)Peak memory usage: 137 MB
% 210.34/32.19 % (872581)Instructions burned: 525 (million)
% 210.34/32.19 % (872583)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=820589025:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2775 on theBenchmark for (2775ds/1016Mi)
% 128.80/34.13 % (872584)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2093002361:i=14123:bd=preordered:ins=4_2774 on theBenchmark for (2774ds/14123Mi)
% 128.80/34.13 % (872571)Instruction limit reached!
% 128.80/34.13 % (872571)------------------------------
% 128.80/34.13 % (872571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.80/34.13 % (872571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.80/34.13 % (872571)CaDiCaL version: 2.1.3
% 128.80/34.13 % (872571)Termination reason: Instruction limit
% 128.80/34.13 % (872571)Termination phase: Saturation
% 128.80/34.13 % (872571)Time elapsed: 9.404 s
% 128.80/34.13 % (872571)Peak memory usage: 662 MB
% 128.80/34.13 % (872571)Instructions burned: 9925 (million)
% 128.80/34.13 % (872587)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1696853370:i=5781:kws=precedence:bd=all:rawr=on_2772 on theBenchmark for (2772ds/5781Mi)
% 128.80/34.13 % (872583)Instruction limit reached!
% 128.80/34.13 % (872583)------------------------------
% 128.80/34.13 % (872583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.80/34.13 % (872583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.80/34.13 % (872583)CaDiCaL version: 2.1.3
% 128.80/34.13 % (872583)Termination reason: Instruction limit
% 128.80/34.13 % (872583)Termination phase: Saturation
% 128.80/34.13 % (872583)Time elapsed: 0.699 s
% 128.80/34.13 % (872583)Peak memory usage: 154 MB
% 128.80/34.13 % (872583)Instructions burned: 1017 (million)
% 128.80/34.13 % (872589)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=899580754:i=2448:gtgl=5:bd=preordered:gtg=all_2767 on theBenchmark for (2767ds/2448Mi)
% 128.80/34.13 % (872589)Instruction limit reached!
% 128.80/34.13 % (872589)------------------------------
% 128.80/34.13 % (872589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.80/34.13 % (872589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.80/34.13 % (872589)CaDiCaL version: 2.1.3
% 128.80/34.13 % (872589)Termination reason: Instruction limit
% 128.80/34.13 % (872589)Termination phase: Preprocessing 3
% 128.80/34.13 % (872589)Time elapsed: 1.408 s
% 128.80/34.13 % (872589)Peak memory usage: 184 MB
% 128.80/34.13 % (872589)Instructions burned: 2448 (million)
% 128.80/34.13 % (872591)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=1576132555:i=3223:kws=precedence:fgj=on:av=off_2751 on theBenchmark for (2751ds/3223Mi)
% 128.80/34.13 % (872587)Instruction limit reached!
% 128.80/34.13 % (872587)------------------------------
% 128.80/34.13 % (872587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.80/34.13 % (872587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.80/34.13 % (872587)CaDiCaL version: 2.1.3
% 128.80/34.13 % (872587)Termination reason: Instruction limit
% 128.80/34.13 % (872587)Termination phase: Property scanning
% 128.80/34.13 % (872587)Time elapsed: 3.055 s
% 128.80/34.13 % (872587)Peak memory usage: 245 MB
% 128.80/34.13 % (872587)Instructions burned: 5781 (million)
% 128.80/34.13 % (872593)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=2113746375:st=5.6:i=2033:sd=3:ss=axioms_2738 on theBenchmark for (2738ds/2033Mi)
% 128.80/34.13 % (872591)Instruction limit reached!
% 128.80/34.13 % (872591)------------------------------
% 128.80/34.13 % (872591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.80/34.13 % (872591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.80/34.13 % (872591)CaDiCaL version: 2.1.3
% 128.80/34.13 % (872591)Termination reason: Instruction limit
% 128.80/34.13 % (872591)Termination phase: Function definition elimination
% 128.80/34.13 % (872591)Time elapsed: 1.908 s
% 128.80/34.13 % (872591)Peak memory usage: 233 MB
% 128.80/34.13 % (872591)Instructions burned: 3224 (million)
% 128.80/34.13 % (872595)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=3637581898:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2730 on theBenchmark for (2730ds/2055Mi)
% 128.80/34.13 % (872593)Instruction limit reached!
% 128.80/34.13 % (872593)------------------------------
% 128.80/34.13 % (872593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.80/34.13 % (872593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.80/34.13 % (872593)CaDiCaL version: 2.1.3
% 128.80/34.13 % (872593)Termination reason: Instruction limit
% 128.80/34.13 % (872593)Termination phase: Property scanning
% 128.80/34.13 % (872593)Time elapsed: 1.249 s
% 128.80/34.13 % (872593)Peak memory usage: 171 MB
% 128.80/34.13 % (872593)Instructions burned: 2035 (million)
% 128.80/34.13 % (872597)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=2734274193:i=21611:sd=3:ss=axioms_2724 on theBenchmark for (2724ds/21611Mi)
% 128.80/34.13 % (872595)Instruction limit reached!
% 128.80/34.13 % (872595)------------------------------
% 128.80/34.13 % (872595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.80/34.13 % (872595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.80/34.13 % (872595)CaDiCaL version: 2.1.3
% 128.80/34.13 % (872595)Termination reason: Instruction limit
% 128.80/34.13 % (872595)Termination phase: Saturation
% 128.80/34.13 % (872595)Time elapsed: 1.311 s
% 128.80/34.13 % (872595)Peak memory usage: 201 MB
% 128.80/34.13 % (872595)Instructions burned: 2055 (million)
% 128.80/34.13 % (872599)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=18600753:i=4835:sd=13:ss=axioms:sgt=23_2715 on theBenchmark for (2715ds/4835Mi)
% 128.80/34.13 % (872584)Instruction limit reached!
% 128.80/34.13 % (872584)------------------------------
% 128.80/34.13 % (872584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.80/34.13 % (872584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.80/34.13 % (872584)CaDiCaL version: 2.1.3
% 128.80/34.13 % (872584)Termination reason: Instruction limit
% 128.80/34.13 % (872584)Termination phase: Saturation
% 128.80/34.13 % (872584)Time elapsed: 7.010 s
% 128.80/34.13 % (872584)Peak memory usage: 1261 MB
% 128.80/34.13 % (872584)Instructions burned: 14127 (million)
% 128.80/34.13 % (872601)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=3579549543:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2702 on theBenchmark for (2702ds/797Mi)
% 128.80/34.13 % (872576)Instruction limit reached!
% 128.80/34.13 % (872576)------------------------------
% 128.80/34.13 % (872576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.80/34.13 % (872576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.80/34.13 % (872576)CaDiCaL version: 2.1.3
% 128.80/34.13 % (872576)Termination reason: Instruction limit
% 128.80/34.13 % (872576)Termination phase: Saturation
% 128.80/34.13 % (872576)Time elapsed: 8.689 s
% 128.80/34.13 % (872576)Peak memory usage: 255 MB
% 128.80/34.13 % (872576)Instructions burned: 11146 (million)
% 128.80/34.13 % (872601)Instruction limit reached!
% 128.80/34.13 % (872601)------------------------------
% 128.80/34.13 % (872601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.80/34.13 % (872601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.80/34.13 % (872601)CaDiCaL version: 2.1.3
% 128.80/34.13 % (872601)Termination reason: Instruction limit
% 128.80/34.13 % (872601)Termination phase: SInE selection
% 128.80/34.13 % (872601)Time elapsed: 0.314 s
% 128.80/34.13 % (872601)Peak memory usage: 138 MB
% 128.80/34.13 % (872601)Instructions burned: 798 (million)
% 128.80/34.13 % (872603)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=3633546126:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2700 on theBenchmark for (2700ds/2326Mi)
% 128.80/34.13 % (872604)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=3863839508:i=6038:nm=6_2698 on theBenchmark for (2698ds/6038Mi)
% 128.80/34.13 % (872599)Instruction limit reached!
% 128.80/34.13 % (872599)------------------------------
% 128.80/34.13 % (872599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.80/34.13 % (872599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.80/34.13 % (872599)CaDiCaL version: 2.1.3
% 128.80/34.13 % (872599)Termination reason: Instruction limit
% 128.80/34.13 % (872599)Termination phase: Saturation
% 128.80/34.13 % (872599)Time elapsed: 2.725 s
% 128.80/34.13 % (872599)Peak memory usage: 242 MB
% 128.80/34.13 % (872599)Instructions burned: 4836 (million)
% 128.80/34.13 % (872607)lrs+10_1_sil=32000:sp=occurrence:random_seed=4249967334:st=2:i=33334:sd=3:ss=included:sgt=32_2686 on theBenchmark for (2686ds/33334Mi)
% 128.80/34.13 % (872603)Instruction limit reached!
% 128.80/34.13 % (872603)------------------------------
% 128.80/34.13 % (872603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.80/34.13 % (872603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.80/34.13 % (872603)CaDiCaL version: 2.1.3
% 128.80/34.13 % (872603)Termination reason: Instruction limit
% 128.80/34.13 % (872603)Termination phase: Property scanning
% 128.80/34.13 % (872603)Time elapsed: 1.439 s
% 128.80/34.13 % (872603)Peak memory usage: 230 MB
% 128.80/34.13 % (872603)Instructions burned: 2327 (million)
% 128.80/34.13 % (872609)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=3379718076:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2683 on theBenchmark for (2683ds/1008Mi)
% 128.80/34.13 % (872604)Instruction limit reached!
% 128.80/34.13 % (872604)------------------------------
% 128.80/34.13 % (872604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.80/34.13 % (872604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.80/34.13 % (872604)CaDiCaL version: 2.1.3
% 128.80/34.13 % (872604)Termination reason: Instruction limit
% 128.80/34.13 % (872604)Termination phase: Property scanning
% 128.80/34.13 % (872604)Time elapsed: 1.608 s
% 128.80/34.13 % (872604)Peak memory usage: 248 MB
% 128.80/34.13 % (872604)Instructions burned: 6039 (million)
% 128.80/34.13 % (872611)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=3356070355:i=8327:s2at=5:bd=preordered_2681 on theBenchmark for (2681ds/8327Mi)
% 128.80/34.13 % (872609)Instruction limit reached!
% 128.80/34.13 % (872609)------------------------------
% 128.80/34.13 % (872609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.80/34.13 % (872609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.80/34.13 % (872609)CaDiCaL version: 2.1.3
% 128.80/34.13 % (872609)Termination reason: Instruction limit
% 128.80/34.13 % (872609)Termination phase: Preprocessing 3
% 128.80/34.13 % (872609)Time elapsed: 0.669 s
% 128.80/34.13 % (872609)Peak memory usage: 150 MB
% 128.80/34.13 % (872609)Instructions burned: 1010 (million)
% 128.80/34.13 % (872613)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=2126655212:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2675 on theBenchmark for (2675ds/1083Mi)
% 128.80/34.13 % (872597)First to succeed.
% 128.80/34.13 % (872597)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-871455"
% 128.80/34.13 % (872613)Instruction limit reached!
% 128.80/34.13 % (872613)------------------------------
% 128.80/34.13 % (872613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 128.80/34.13 % (872613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 128.80/34.13 % (872613)CaDiCaL version: 2.1.3
% 128.80/34.13 % (872613)Termination reason: Instruction limit
% 128.80/34.13 % (872613)Termination phase: Naming
% 128.80/34.13 % (872613)Time elapsed: 0.781 s
% 128.80/34.13 % (872613)Peak memory usage: 180 MB
% 128.80/34.13 % (872613)Instructions burned: 1083 (million)
% 128.80/34.13 % (872597)Refutation found. Thanks to Tanya!
% 128.80/34.13 % SZS status Theorem for theBenchmark
% 128.80/34.13 % SZS output start Proof for theBenchmark
% See solution above
% 223.95/34.38 % (872597)------------------------------
% 223.95/34.38 % (872597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 223.95/34.38 % (872597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 223.95/34.38 % (872597)CaDiCaL version: 2.1.3
% 223.95/34.38 % (872597)Termination reason: Refutation
% 223.95/34.38 % (872597)Time elapsed: 5.412 s
% 223.95/34.38 % (872597)Peak memory usage: 233 MB
% 223.95/34.38 % (872597)Instructions burned: 8598 (million)
% 223.95/34.38 % (872597)------------------------------
% 223.95/34.38 % (872597)------------------------------
% 223.95/34.38 % (871455)Success in time 33.518 s
% 223.95/34.38 % Vampire exiting
%------------------------------------------------------------------------------