%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP650+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:15:18 AM UTC 2026
% Result : Theorem 62.85s 15.32s
% Output : Refutation 103.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 81
% Syntax : Number of formulae : 659 ( 81 unt; 56 def)
% Number of atoms : 4368 ( 477 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 6649 (2940 ~;3424 |; 172 &)
% ( 78 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 80 ( 78 usr; 55 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 2 con; 0-4 aty)
% Number of variables : 763 ( 0 sgn 746 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k3_latsubgr(X0,X0,k6_partfun1(u1_struct_0(X0))) = k6_partfun1(u1_struct_0(k11_group_4(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_latsubgr) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> k3_latsubgr(X0,X0,k6_partfun1(u1_struct_0(X0))) = k6_partfun1(u1_struct_0(k11_group_4(X0))) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_1(X2)
& v1_partfun1(X2,X0,X1) )
=> ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_2) ).
fof(f14,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f16,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( X1 = k1_group_3(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ( v1_group_1(X2)
& m1_group_2(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_group_3) ).
fof(f17,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
& m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
=> ( X3 = k3_latsubgr(X0,X1,X2)
<=> ! [X4] :
( ( v1_group_1(X4)
& m1_group_2(X4,X0) )
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X5 = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
=> k1_funct_1(X3,X4) = k5_group_4(X1,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_latsubgr) ).
fof(f18,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(f19,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ( m1_group_2(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_group_2) ).
fof(f29,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1) )
=> m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_2) ).
fof(f33,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_4) ).
fof(f34,axiom,
! [X0] :
( v1_partfun1(k6_partfun1(X0),X0,X0)
& m2_relset_1(k6_partfun1(X0),X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_partfun1) ).
fof(f35,axiom,
! [X0] : v1_relat_1(k6_relat_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relat_1) ).
fof(f38,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f43,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f62,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f64,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f65,axiom,
! [X0] :
( v1_relat_1(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v4_relat_2(k6_relat_1(X0))
& v8_relat_2(k6_relat_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_partfun1) ).
fof(f80,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1) )
=> k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f82,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f84,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f85,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v1_group_1(X1)
& m1_group_2(X1,X0)
& v1_group_1(X2)
& m1_group_2(X2,X0) )
=> ( r1_group_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_group_2) ).
fof(f89,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
=> ! [X4] :
~ ( r2_hidden(X4,k2_funct_2(X0,X1,X3,X2))
& ! [X5] :
( m1_subset_1(X5,X0)
=> ~ ( r2_hidden(X5,X2)
& X4 = k1_funct_1(X3,X5) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t116_funct_2) ).
fof(f92,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( X1 = k6_relat_1(X0)
<=> ( k1_relat_1(X1) = X0
& ! [X2] :
( r2_hidden(X2,X0)
=> k1_funct_1(X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f93,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
=> ( X1 = u1_struct_0(X2)
=> r1_group_2(X0,k5_group_4(X0,X1),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_latsubgr) ).
fof(f95,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
=> ( X1 != k1_xboole_0
=> ! [X4] :
( ? [X5] :
( r2_hidden(X5,X0)
& r2_hidden(X5,X2)
& X4 = k1_funct_1(X3,X5) )
=> r2_hidden(X4,k9_relat_1(X3,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_funct_2) ).
fof(f101,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> u1_struct_0(k11_group_4(X0)) = k1_group_3(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_group_4) ).
fof(f103,plain,
! [X0] :
( v1_relat_1(k6_relat_1(X0))
& v1_funct_1(k6_relat_1(X0))
& v1_relat_2(k6_relat_1(X0))
& v3_relat_2(k6_relat_1(X0))
& v8_relat_2(k6_relat_1(X0)) ),
inference(pure_predicate_removal,[],[f65]) ).
fof(f116,plain,
? [X0] :
( k3_latsubgr(X0,X0,k6_partfun1(u1_struct_0(X0))) != k6_partfun1(u1_struct_0(k11_group_4(X0)))
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f117,plain,
? [X0] :
( k3_latsubgr(X0,X0,k6_partfun1(u1_struct_0(X0))) != k6_partfun1(u1_struct_0(k11_group_4(X0)))
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f116]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1) )
| ~ v1_funct_1(X2)
| ~ v1_partfun1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1) )
| ~ v1_funct_1(X2)
| ~ v1_partfun1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f123]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( X1 = k1_group_3(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ( v1_group_1(X2)
& m1_group_2(X2,X0) ) ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f141,plain,
! [X0] :
( ! [X1] :
( X1 = k1_group_3(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ( v1_group_1(X2)
& m1_group_2(X2,X0) ) ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f140]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k3_latsubgr(X0,X1,X2)
<=> ! [X4] :
( ! [X5] :
( k1_funct_1(X3,X4) = k5_group_4(X1,X5)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v1_group_1(X4)
| ~ m1_group_2(X4,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k3_latsubgr(X0,X1,X2)
<=> ! [X4] :
( ! [X5] :
( k1_funct_1(X3,X4) = k5_group_4(X1,X5)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v1_group_1(X4)
| ~ m1_group_2(X4,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ( m1_group_2(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ( m1_group_2(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f145]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f153]) ).
fof(f158,plain,
! [X0,X1] :
( ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f33]) ).
fof(f159,plain,
! [X0,X1] :
( ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f158]) ).
fof(f162,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f166]) ).
fof(f178,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f179,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f178]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f80]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f189]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ( r1_group_2(X0,X1,X2)
<=> X1 = X2 )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f195,plain,
! [X0,X1,X2] :
( ( r1_group_2(X0,X1,X2)
<=> X1 = X2 )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(flattening,[],[f194]) ).
fof(f200,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2))
| ? [X5] :
( r2_hidden(X5,X2)
& X4 = k1_funct_1(X3,X5)
& m1_subset_1(X5,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f89]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2))
| ? [X5] :
( r2_hidden(X5,X2)
& X4 = k1_funct_1(X3,X5)
& m1_subset_1(X5,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(flattening,[],[f200]) ).
fof(f205,plain,
! [X0,X1] :
( ( X1 = k6_relat_1(X0)
<=> ( k1_relat_1(X1) = X0
& ! [X2] :
( k1_funct_1(X1,X2) = X2
| ~ r2_hidden(X2,X0) ) ) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f92]) ).
fof(f206,plain,
! [X0,X1] :
( ( X1 = k6_relat_1(X0)
<=> ( k1_relat_1(X1) = X0
& ! [X2] :
( k1_funct_1(X1,X2) = X2
| ~ r2_hidden(X2,X0) ) ) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f205]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_group_2(X0,k5_group_4(X0,X1),X2)
| u1_struct_0(X2) != X1
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_group_2(X0,k5_group_4(X0,X1),X2)
| u1_struct_0(X2) != X1
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f207]) ).
fof(f209,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( r2_hidden(X4,k9_relat_1(X3,X2))
| ! [X5] :
( ~ r2_hidden(X5,X0)
| ~ r2_hidden(X5,X2)
| k1_funct_1(X3,X5) != X4 ) )
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f95]) ).
fof(f210,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( r2_hidden(X4,k9_relat_1(X3,X2))
| ! [X5] :
( ~ r2_hidden(X5,X0)
| ~ r2_hidden(X5,X2)
| k1_funct_1(X3,X5) != X4 ) )
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(flattening,[],[f209]) ).
fof(f217,plain,
! [X0] :
( u1_struct_0(k11_group_4(X0)) = k1_group_3(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f218,plain,
! [X0] :
( u1_struct_0(k11_group_4(X0)) = k1_group_3(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f217]) ).
fof(f219,plain,
( k3_latsubgr(sK0,sK0,k6_partfun1(u1_struct_0(sK0))) != k6_partfun1(u1_struct_0(k11_group_4(sK0)))
& ~ v3_struct_0(sK0)
& v3_group_1(sK0)
& v4_group_1(sK0)
& l1_group_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f117]) ).
fof(f220,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,[],[f14]) ).
fof(f221,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,[],[f220]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_group_3(X0)
| ? [X2] :
( ( ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ r2_hidden(X2,X1) )
& ( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
& ( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
| ~ r2_hidden(X2,X1) ) )
| k1_group_3(X0) != X1 ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f141]) ).
fof(f224,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_group_3(X0)
| ? [X2] :
( ( ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ r2_hidden(X2,X1) )
& ( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
& ( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
| ~ r2_hidden(X2,X1) ) )
| k1_group_3(X0) != X1 ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_group_3(X0)
| ? [X2] :
( ( ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ r2_hidden(X2,X1) )
& ( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) )
& ( ( v1_group_1(X3)
& m1_group_2(X3,X0) )
| ~ r2_hidden(X3,X1) ) )
| k1_group_3(X0) != X1 ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f224]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_group_3(X0)
| ( ( ~ v1_group_1(sK1(X0,X1))
| ~ m1_group_2(sK1(X0,X1),X0)
| ~ r2_hidden(sK1(X0,X1),X1) )
& ( ( v1_group_1(sK1(X0,X1))
& m1_group_2(sK1(X0,X1),X0) )
| r2_hidden(sK1(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) )
& ( ( v1_group_1(X3)
& m1_group_2(X3,X0) )
| ~ r2_hidden(X3,X1) ) )
| k1_group_3(X0) != X1 ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f225]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k3_latsubgr(X0,X1,X2)
| ? [X4] :
( ? [X5] :
( k1_funct_1(X3,X4) != k5_group_4(X1,X5)
& k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) )
& v1_group_1(X4)
& m1_group_2(X4,X0) ) )
& ( ! [X4] :
( ! [X5] :
( k1_funct_1(X3,X4) = k5_group_4(X1,X5)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v1_group_1(X4)
| ~ m1_group_2(X4,X0) )
| k3_latsubgr(X0,X1,X2) != X3 ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f143]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k3_latsubgr(X0,X1,X2)
| ? [X4] :
( ? [X5] :
( k1_funct_1(X3,X4) != k5_group_4(X1,X5)
& k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) )
& v1_group_1(X4)
& m1_group_2(X4,X0) ) )
& ( ! [X6] :
( ! [X7] :
( k1_funct_1(X3,X6) = k5_group_4(X1,X7)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X6)) != X7
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X0) )
| k3_latsubgr(X0,X1,X2) != X3 ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f227]) ).
fof(f229,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k3_latsubgr(X0,X1,X2)
| ( k1_funct_1(X3,sK2(X0,X1,X2,X3)) != k5_group_4(X1,sK3(X0,X1,X2,X3))
& sK3(X0,X1,X2,X3) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(sK2(X0,X1,X2,X3)))
& m1_subset_1(sK3(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
& v1_group_1(sK2(X0,X1,X2,X3))
& m1_group_2(sK2(X0,X1,X2,X3),X0) ) )
& ( ! [X6] :
( ! [X7] :
( k1_funct_1(X3,X6) = k5_group_4(X1,X7)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X6)) != X7
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X0) )
| k3_latsubgr(X0,X1,X2) != X3 ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X4,sK2(X0,X1,X2,X3)),skolemize(X5,sK3(X0,X1,X2,X3))],[f228]) ).
fof(f230,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,[],[f144]) ).
fof(f231,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,[],[f230]) ).
fof(f232,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK4(X0,X1),X1)
& r2_hidden(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f231]) ).
fof(f233,plain,
! [X0] :
( ! [X1] :
( ( ( m1_group_2(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| u1_group_1(X1) != k1_realset1(u1_group_1(X0),u1_struct_0(X1)) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f146]) ).
fof(f234,plain,
! [X0] :
( ! [X1] :
( ( ( m1_group_2(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| u1_group_1(X1) != k1_realset1(u1_group_1(X0),u1_struct_0(X1)) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f233]) ).
fof(f255,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f84]) ).
fof(f256,plain,
! [X0,X1,X2] :
( ( ( r1_group_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_group_2(X0,X1,X2) ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(nnf_transformation,[],[f195]) ).
fof(f257,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2))
| ( r2_hidden(sK25(X0,X2,X3,X4),X2)
& k1_funct_1(X3,sK25(X0,X2,X3,X4)) = X4
& m1_subset_1(sK25(X0,X2,X3,X4),X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X5,sK25(X0,X2,X3,X4))],[f201]) ).
fof(f258,plain,
! [X0,X1] :
( ( ( X1 = k6_relat_1(X0)
| k1_relat_1(X1) != X0
| ? [X2] :
( k1_funct_1(X1,X2) != X2
& r2_hidden(X2,X0) ) )
& ( ( k1_relat_1(X1) = X0
& ! [X2] :
( k1_funct_1(X1,X2) = X2
| ~ r2_hidden(X2,X0) ) )
| k6_relat_1(X0) != X1 ) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(nnf_transformation,[],[f206]) ).
fof(f259,plain,
! [X0,X1] :
( ( ( X1 = k6_relat_1(X0)
| k1_relat_1(X1) != X0
| ? [X2] :
( k1_funct_1(X1,X2) != X2
& r2_hidden(X2,X0) ) )
& ( ( k1_relat_1(X1) = X0
& ! [X2] :
( k1_funct_1(X1,X2) = X2
| ~ r2_hidden(X2,X0) ) )
| k6_relat_1(X0) != X1 ) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f258]) ).
fof(f260,plain,
! [X0,X1] :
( ( ( X1 = k6_relat_1(X0)
| k1_relat_1(X1) != X0
| ? [X2] :
( k1_funct_1(X1,X2) != X2
& r2_hidden(X2,X0) ) )
& ( ( k1_relat_1(X1) = X0
& ! [X3] :
( k1_funct_1(X1,X3) = X3
| ~ r2_hidden(X3,X0) ) )
| k6_relat_1(X0) != X1 ) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(rectify,[],[f259]) ).
fof(f261,plain,
! [X0,X1] :
( ( ( X1 = k6_relat_1(X0)
| k1_relat_1(X1) != X0
| ( sK26(X0,X1) != k1_funct_1(X1,sK26(X0,X1))
& r2_hidden(sK26(X0,X1),X0) ) )
& ( ( k1_relat_1(X1) = X0
& ! [X3] :
( k1_funct_1(X1,X3) = X3
| ~ r2_hidden(X3,X0) ) )
| k6_relat_1(X0) != X1 ) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X2,sK26(X0,X1))],[f260]) ).
fof(f263,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f219]) ).
fof(f264,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f219]) ).
fof(f265,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f219]) ).
fof(f266,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f219]) ).
fof(f267,plain,
k3_latsubgr(sK0,sK0,k6_partfun1(u1_struct_0(sK0))) != k6_partfun1(u1_struct_0(k11_group_4(sK0))),
inference(cnf_transformation,[],[f219]) ).
fof(f271,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_partfun1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f296,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f221]) ).
fof(f297,plain,
! [X0,X1] :
( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f306,plain,
! [X3,X0,X1] :
( r2_hidden(X3,X1)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0)
| k1_group_3(X0) != X1
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( k3_latsubgr(X0,X1,X2) = X3
| m1_group_2(sK2(X0,X1,X2,X3),X0)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( k3_latsubgr(X0,X1,X2) = X3
| v1_group_1(sK2(X0,X1,X2,X3))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( k3_latsubgr(X0,X1,X2) = X3
| sK3(X0,X1,X2,X3) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(sK2(X0,X1,X2,X3)))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f315,plain,
! [X2,X3,X0,X1] :
( k3_latsubgr(X0,X1,X2) = X3
| k1_funct_1(X3,sK2(X0,X1,X2,X3)) != k5_group_4(X1,sK3(X0,X1,X2,X3))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f316,plain,
! [X3,X0,X1] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f317,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| r2_hidden(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f318,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ r2_hidden(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f320,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f329,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f334,plain,
! [X0,X1] :
( m1_group_2(k5_group_4(X0,X1),X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f159]) ).
fof(f335,plain,
! [X0,X1] :
( v1_group_1(k5_group_4(X0,X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f159]) ).
fof(f336,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f34]) ).
fof(f337,plain,
! [X0] : v1_partfun1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f34]) ).
fof(f338,plain,
! [X0] : v1_relat_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f340,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f345,plain,
! [X0,X1] :
( l1_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f346,plain,
! [X0,X1] :
( v3_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f347,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f370,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f372,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f64]) ).
fof(f376,plain,
! [X0] : v1_funct_1(k6_relat_1(X0)),
inference(cnf_transformation,[],[f103]) ).
fof(f418,plain,
! [X2,X3,X0,X1] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f420,plain,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
inference(cnf_transformation,[],[f82]) ).
fof(f422,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f424,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ r1_group_2(X0,X1,X2)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f430,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2))
| k1_funct_1(X3,sK25(X0,X2,X3,X4)) = X4
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f257]) ).
fof(f431,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2))
| r2_hidden(sK25(X0,X2,X3,X4),X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f257]) ).
fof(f434,plain,
! [X3,X0,X1] :
( k1_funct_1(X1,X3) = X3
| ~ r2_hidden(X3,X0)
| k6_relat_1(X0) != X1
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f438,plain,
! [X2,X0,X1] :
( r1_group_2(X0,k5_group_4(X0,X1),X2)
| u1_struct_0(X2) != X1
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f441,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X4,k9_relat_1(X3,X2))
| ~ r2_hidden(X5,X0)
| ~ r2_hidden(X5,X2)
| k1_funct_1(X3,X5) != X4
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f210]) ).
fof(f447,plain,
! [X0] :
( u1_struct_0(k11_group_4(X0)) = k1_group_3(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f448,plain,
k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) != k6_relat_1(u1_struct_0(k11_group_4(sK0))),
inference(definition_unfolding,[],[f267,f420,f420]) ).
fof(f449,plain,
! [X0] : v1_partfun1(k6_relat_1(X0),X0,X0),
inference(definition_unfolding,[],[f337,f420]) ).
fof(f450,plain,
! [X0] : m2_relset_1(k6_relat_1(X0),X0,X0),
inference(definition_unfolding,[],[f336,f420]) ).
fof(f451,plain,
! [X1] : r1_tarski(X1,X1),
inference(equality_resolution,[],[f296]) ).
fof(f458,plain,
! [X3,X0] :
( r2_hidden(X3,k1_group_3(X0))
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f306]) ).
fof(f467,plain,
! [X3,X0] :
( k1_funct_1(k6_relat_1(X0),X3) = X3
| ~ r2_hidden(X3,X0)
| ~ v1_relat_1(k6_relat_1(X0))
| ~ v1_funct_1(k6_relat_1(X0)) ),
inference(equality_resolution,[],[f434]) ).
fof(f468,plain,
! [X2,X0] :
( r1_group_2(X0,k5_group_4(X0,u1_struct_0(X2)),X2)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(u1_struct_0(X2),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f438]) ).
fof(f469,plain,
! [X2,X3,X0,X1,X5] :
( r2_hidden(k1_funct_1(X3,X5),k9_relat_1(X3,X2))
| ~ r2_hidden(X5,X0)
| ~ r2_hidden(X5,X2)
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(equality_resolution,[],[f441]) ).
fof(f472,plain,
! [X2,X3,X5] :
( r2_hidden(k1_funct_1(X3,X5),k9_relat_1(X3,X2))
| ~ r2_hidden(X5,X2)
| sP28(X3,X5) ),
inference(cnf_transformation,[],[f472_D]) ).
fof(f472_D,definition,
! [X5,X3] :
( ! [X2] :
( r2_hidden(k1_funct_1(X3,X5),k9_relat_1(X3,X2))
| ~ r2_hidden(X5,X2) )
<=> ~ sP28(X3,X5) ),
introduced(definition,[new_symbols(definition,[sP28])],[general_splitting_component_introduction]) ).
fof(f473,plain,
! [X3,X0,X1,X5] :
( ~ r2_hidden(X5,X0)
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1)
| ~ sP28(X3,X5) ),
inference(general_splitting,[],[f469,f472_D]) ).
fof(f474,plain,
! [X3,X0,X1] :
( k1_xboole_0 = X1
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1)
| sP29(X3,X0) ),
inference(cnf_transformation,[],[f474_D]) ).
fof(f474_D,definition,
! [X0,X3] :
( ! [X1] :
( k1_xboole_0 = X1
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) )
<=> ~ sP29(X3,X0) ),
introduced(definition,[new_symbols(definition,[sP29])],[general_splitting_component_introduction]) ).
fof(f475,plain,
! [X3,X0,X5] :
( ~ r2_hidden(X5,X0)
| ~ v1_funct_1(X3)
| ~ sP28(X3,X5)
| ~ sP29(X3,X0) ),
inference(general_splitting,[],[f473,f474_D]) ).
fof(f480,definition,
( spl31_1
<=> v3_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f482,plain,
( ~ v3_struct_0(sK0)
| spl31_1 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f483,plain,
~ spl31_1,
inference(avatar_split_clause,[],[f266,f480]) ).
fof(f485,definition,
( spl31_2
<=> l1_group_1(sK0) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f487,plain,
( l1_group_1(sK0)
| ~ spl31_2 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f488,plain,
spl31_2,
inference(avatar_split_clause,[],[f263,f485]) ).
fof(f490,definition,
( spl31_3
<=> v3_group_1(sK0) ),
introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).
fof(f492,plain,
( v3_group_1(sK0)
| ~ spl31_3 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f493,plain,
spl31_3,
inference(avatar_split_clause,[],[f265,f490]) ).
fof(f498,plain,
( ! [X2,X0,X1] :
( k3_latsubgr(X0,sK0,X1) = X2
| m1_group_2(sK2(X0,sK0,X1,X2),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl31_3 ),
inference(resolution,[],[f492,f311]) ).
fof(f499,plain,
( ! [X2,X0,X1] :
( k3_latsubgr(sK0,X0,X1) = X2
| v1_group_1(sK2(sK0,X0,X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(X0)))
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(X0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_3 ),
inference(resolution,[],[f492,f312]) ).
fof(f504,plain,
( ! [X2,X0,X1] :
( k3_latsubgr(X0,sK0,X1) = X2
| sK3(X0,sK0,X1,X2) = k2_funct_2(u1_struct_0(X0),u1_struct_0(sK0),X1,u1_struct_0(sK2(X0,sK0,X1,X2)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl31_3 ),
inference(resolution,[],[f492,f314]) ).
fof(f533,plain,
( u1_struct_0(k11_group_4(sK0)) = k1_group_3(sK0)
| v3_struct_0(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl31_3 ),
inference(resolution,[],[f492,f447]) ).
fof(f550,plain,
( u1_struct_0(k11_group_4(sK0)) = k1_group_3(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl31_1
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f533,f482]) ).
fof(f579,plain,
( ! [X2,X0,X1] :
( k3_latsubgr(X0,sK0,X1) = X2
| sK3(X0,sK0,X1,X2) = k2_funct_2(u1_struct_0(X0),u1_struct_0(sK0),X1,u1_struct_0(sK2(X0,sK0,X1,X2)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| spl31_1
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f504,f482]) ).
fof(f584,plain,
( ! [X2,X0,X1] :
( k3_latsubgr(sK0,X0,X1) = X2
| v1_group_1(sK2(sK0,X0,X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(X0)))
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(X0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f499,f482]) ).
fof(f585,plain,
( ! [X2,X0,X1] :
( k3_latsubgr(X0,sK0,X1) = X2
| m1_group_2(sK2(X0,sK0,X1,X2),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| spl31_1
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f498,f482]) ).
fof(f598,plain,
( u1_struct_0(k11_group_4(sK0)) = k1_group_3(sK0)
| ~ l1_group_1(sK0)
| spl31_1
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f550,f264]) ).
fof(f627,plain,
( ! [X2,X0,X1] :
( k3_latsubgr(X0,sK0,X1) = X2
| sK3(X0,sK0,X1,X2) = k2_funct_2(u1_struct_0(X0),u1_struct_0(sK0),X1,u1_struct_0(sK2(X0,sK0,X1,X2)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| spl31_1
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f579,f264]) ).
fof(f632,plain,
( ! [X2,X0,X1] :
( k3_latsubgr(sK0,X0,X1) = X2
| v1_group_1(sK2(sK0,X0,X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(X0)))
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(X0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f584,f264]) ).
fof(f633,plain,
( ! [X2,X0,X1] :
( k3_latsubgr(X0,sK0,X1) = X2
| m1_group_2(sK2(X0,sK0,X1,X2),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| spl31_1
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f585,f264]) ).
fof(f646,plain,
( u1_struct_0(k11_group_4(sK0)) = k1_group_3(sK0)
| spl31_1
| ~ spl31_2
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f598,f487]) ).
fof(f667,plain,
( ! [X2,X0,X1] :
( k3_latsubgr(X0,sK0,X1) = X2
| sK3(X0,sK0,X1,X2) = k2_funct_2(u1_struct_0(X0),u1_struct_0(sK0),X1,u1_struct_0(sK2(X0,sK0,X1,X2)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f627,f487]) ).
fof(f672,plain,
( ! [X2,X0,X1] :
( k3_latsubgr(sK0,X0,X1) = X2
| v1_group_1(sK2(sK0,X0,X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(X0)))
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(X0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f632,f487]) ).
fof(f673,plain,
( ! [X2,X0,X1] :
( k3_latsubgr(X0,sK0,X1) = X2
| m1_group_2(sK2(X0,sK0,X1,X2),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3 ),
inference(forward_subsumption_resolution,[],[f633,f487]) ).
fof(f686,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| k3_latsubgr(X0,sK0,X1) = X2
| sK3(X0,sK0,X1,X2) = k2_funct_2(u1_struct_0(X0),u1_struct_0(sK0),X1,u1_struct_0(sK2(X0,sK0,X1,X2)))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3 ),
inference(forward_demodulation,[],[f667,f646]) ).
fof(f691,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,k1_group_3(sK0),u1_struct_0(k11_group_4(X0)))
| k3_latsubgr(sK0,X0,X1) = X2
| v1_group_1(sK2(sK0,X0,X1,X2))
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(X0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3 ),
inference(forward_demodulation,[],[f672,f646]) ).
fof(f692,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| k3_latsubgr(X0,sK0,X1) = X2
| m1_group_2(sK2(X0,sK0,X1,X2),X0)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3 ),
inference(forward_demodulation,[],[f673,f646]) ).
fof(f698,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| k3_latsubgr(X0,sK0,X1) = X2
| sK3(X0,sK0,X1,X2) = k2_funct_2(u1_struct_0(X0),u1_struct_0(sK0),X1,u1_struct_0(sK2(X0,sK0,X1,X2)))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3 ),
inference(forward_demodulation,[],[f686,f646]) ).
fof(f703,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,k1_group_3(sK0),u1_struct_0(k11_group_4(X0)))
| ~ v1_funct_2(X2,k1_group_3(sK0),u1_struct_0(k11_group_4(X0)))
| k3_latsubgr(sK0,X0,X1) = X2
| v1_group_1(sK2(sK0,X0,X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3 ),
inference(forward_demodulation,[],[f691,f646]) ).
fof(f704,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| k3_latsubgr(X0,sK0,X1) = X2
| m1_group_2(sK2(X0,sK0,X1,X2),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3 ),
inference(forward_demodulation,[],[f692,f646]) ).
fof(f737,plain,
( l1_struct_0(sK0)
| ~ spl31_2 ),
inference(resolution,[],[f487,f340]) ).
fof(f827,definition,
( spl31_4
<=> v4_group_1(sK0) ),
introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).
fof(f829,plain,
( v4_group_1(sK0)
| ~ spl31_4 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f830,plain,
spl31_4,
inference(avatar_split_clause,[],[f264,f827]) ).
fof(f1058,definition,
( spl31_5
<=> k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(u1_struct_0(k11_group_4(sK0))) ),
introduced(definition,[new_symbols(definition,[spl31_5])],[avatar_definition]) ).
fof(f1060,plain,
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) != k6_relat_1(u1_struct_0(k11_group_4(sK0)))
| spl31_5 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1061,plain,
~ spl31_5,
inference(avatar_split_clause,[],[f448,f1058]) ).
fof(f1062,plain,
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) != k6_relat_1(k1_group_3(sK0))
| spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_5 ),
inference(forward_demodulation,[],[f1060,f646]) ).
fof(f1064,definition,
( spl31_6
<=> k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_6])],[avatar_definition]) ).
fof(f1066,plain,
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) != k6_relat_1(k1_group_3(sK0))
| spl31_6 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1067,plain,
( ~ spl31_6
| spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_5 ),
inference(avatar_split_clause,[],[f1062,f1058,f490,f485,f480,f1064]) ).
fof(f1068,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_6 ),
inference(superposition,[],[f1066,f311]) ).
fof(f1071,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_6 ),
inference(superposition,[],[f1066,f314]) ).
fof(f1074,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_6 ),
inference(duplicate_literal_removal,[],[f1071]) ).
fof(f1077,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_6 ),
inference(duplicate_literal_removal,[],[f1068]) ).
fof(f1079,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f1074,f376]) ).
fof(f1082,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f1077,f376]) ).
fof(f1084,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f1079,f450]) ).
fof(f1087,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f1082,f450]) ).
fof(f1089,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f1084,f482]) ).
fof(f1092,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f1087,f482]) ).
fof(f1094,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f1089,f492]) ).
fof(f1097,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f1092,f492]) ).
fof(f1099,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_4
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f1094,f829]) ).
fof(f1102,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_4
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f1097,f829]) ).
fof(f1104,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f1099,f487]) ).
fof(f1107,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6 ),
inference(forward_subsumption_resolution,[],[f1102,f487]) ).
fof(f1109,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k6_relat_1(k1_group_3(sK0)) != X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6 ),
inference(forward_demodulation,[],[f1104,f646]) ).
fof(f1112,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k6_relat_1(k1_group_3(sK0)) != X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6 ),
inference(forward_demodulation,[],[f1107,f646]) ).
fof(f1114,plain,
( ! [X0] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k6_relat_1(k1_group_3(sK0)) != X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6 ),
inference(forward_demodulation,[],[f1109,f646]) ).
fof(f1117,plain,
( ! [X0] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k6_relat_1(k1_group_3(sK0)) != X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6 ),
inference(forward_demodulation,[],[f1112,f646]) ).
fof(f1119,definition,
( spl31_7
<=> u1_struct_0(k11_group_4(sK0)) = k1_group_3(sK0) ),
introduced(definition,[new_symbols(definition,[spl31_7])],[avatar_definition]) ).
fof(f1121,plain,
( u1_struct_0(k11_group_4(sK0)) = k1_group_3(sK0)
| ~ spl31_7 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f1122,plain,
( spl31_7
| spl31_1
| ~ spl31_2
| ~ spl31_3 ),
inference(avatar_split_clause,[],[f646,f490,f485,f480,f1119]) ).
fof(f1296,definition,
( spl31_8
<=> v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_8])],[avatar_definition]) ).
fof(f1297,plain,
( v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl31_8 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1298,plain,
( ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| spl31_8 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1304,plain,
( ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_partfun1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| spl31_8 ),
inference(resolution,[],[f1298,f271]) ).
fof(f1305,plain,
( ~ v1_partfun1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| spl31_8 ),
inference(forward_subsumption_resolution,[],[f1304,f376]) ).
fof(f1307,plain,
( ~ m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| spl31_8 ),
inference(forward_subsumption_resolution,[],[f1305,f449]) ).
fof(f1309,definition,
( spl31_10
<=> ! [X0] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| k6_relat_1(k1_group_3(sK0)) != X0
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl31_10])],[avatar_definition]) ).
fof(f1310,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| ~ v1_funct_1(X0)
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0)) )
| ~ spl31_10 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f1311,plain,
( ~ spl31_8
| spl31_10
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6 ),
inference(avatar_split_clause,[],[f1114,f1064,f827,f490,f485,f480,f1309,f1296]) ).
fof(f1313,definition,
( spl31_11
<=> ! [X0] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| k6_relat_1(k1_group_3(sK0)) != X0
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl31_11])],[avatar_definition]) ).
fof(f1314,plain,
( ! [X0] :
( k6_relat_1(k1_group_3(sK0)) != X0
| ~ v1_funct_1(X0)
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0)) )
| ~ spl31_11 ),
inference(avatar_component_clause,[],[f1313]) ).
fof(f1315,plain,
( ~ spl31_8
| spl31_11
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6 ),
inference(avatar_split_clause,[],[f1117,f1064,f827,f490,f485,f480,f1313,f1296]) ).
fof(f1317,definition,
( spl31_12
<=> m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_12])],[avatar_definition]) ).
fof(f1318,plain,
( m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ spl31_12 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f1319,plain,
( ~ m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| spl31_12 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f1320,plain,
( ~ spl31_12
| spl31_8 ),
inference(avatar_split_clause,[],[f1307,f1296,f1317]) ).
fof(f1321,plain,
( ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| spl31_12 ),
inference(resolution,[],[f1319,f422]) ).
fof(f1322,plain,
( $false
| spl31_12 ),
inference(forward_subsumption_resolution,[],[f1321,f450]) ).
fof(f1323,plain,
spl31_12,
inference(avatar_contradiction_clause,[],[f1322]) ).
fof(f1326,plain,
( ! [X0] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_8 ),
inference(resolution,[],[f1297,f311]) ).
fof(f1329,plain,
( ! [X0] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_8 ),
inference(resolution,[],[f1297,f314]) ).
fof(f1342,plain,
( ! [X0] :
( m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),X0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) )
| ~ spl31_8 ),
inference(resolution,[],[f1297,f329]) ).
fof(f1344,plain,
( ! [X0] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),X0) = k9_relat_1(k6_relat_1(u1_struct_0(sK0)),X0)
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) )
| ~ spl31_8 ),
inference(resolution,[],[f1297,f418]) ).
fof(f1349,plain,
( k1_xboole_0 = u1_struct_0(sK0)
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| sP29(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl31_8 ),
inference(resolution,[],[f1297,f474]) ).
fof(f1360,plain,
( ! [X0] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_8 ),
inference(duplicate_literal_removal,[],[f1329]) ).
fof(f1363,plain,
( ! [X0] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_8 ),
inference(duplicate_literal_removal,[],[f1326]) ).
fof(f1367,plain,
( k1_xboole_0 = u1_struct_0(sK0)
| sP29(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1349,f450]) ).
fof(f1372,plain,
( ! [X0] :
( k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),X0) = k9_relat_1(k6_relat_1(u1_struct_0(sK0)),X0)
| ~ m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) )
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1344,f376]) ).
fof(f1374,plain,
( ! [X0] :
( m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),X0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) )
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1342,f376]) ).
fof(f1385,plain,
( ! [X0] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1360,f376]) ).
fof(f1388,plain,
( ! [X0] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1363,f376]) ).
fof(f1396,plain,
( ! [X0] : k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),X0) = k9_relat_1(k6_relat_1(u1_struct_0(sK0)),X0)
| ~ spl31_8
| ~ spl31_12 ),
inference(forward_subsumption_resolution,[],[f1372,f1318]) ).
fof(f1398,plain,
( ! [X0] : m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),X0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl31_8
| ~ spl31_12 ),
inference(forward_subsumption_resolution,[],[f1374,f1318]) ).
fof(f1408,plain,
( ! [X0] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1385,f450]) ).
fof(f1411,plain,
( ! [X0] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1388,f450]) ).
fof(f1417,plain,
( ! [X0] : m1_subset_1(k9_relat_1(k6_relat_1(u1_struct_0(sK0)),X0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl31_8
| ~ spl31_12 ),
inference(forward_demodulation,[],[f1398,f1396]) ).
fof(f1424,plain,
( ! [X0] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1408,f482]) ).
fof(f1427,plain,
( ! [X0] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1411,f482]) ).
fof(f1436,plain,
( ! [X0] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1424,f492]) ).
fof(f1439,plain,
( ! [X0] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1427,f492]) ).
fof(f1448,plain,
( ! [X0] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_4
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1436,f829]) ).
fof(f1451,plain,
( ! [X0] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_4
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1439,f829]) ).
fof(f1457,plain,
( ! [X0] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0))) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1448,f487]) ).
fof(f1460,plain,
( ! [X0] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0))) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_8 ),
inference(forward_subsumption_resolution,[],[f1451,f487]) ).
fof(f1465,plain,
( ! [X0] :
( sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k9_relat_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0))) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_8
| ~ spl31_12 ),
inference(forward_demodulation,[],[f1457,f1396]) ).
fof(f1468,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0))) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_8 ),
inference(forward_demodulation,[],[f1460,f1121]) ).
fof(f1471,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k9_relat_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0))) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_8
| ~ spl31_12 ),
inference(forward_demodulation,[],[f1465,f1121]) ).
fof(f1474,plain,
( ! [X0] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_8 ),
inference(forward_demodulation,[],[f1468,f1121]) ).
fof(f1476,plain,
( ! [X0] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k9_relat_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_8
| ~ spl31_12 ),
inference(forward_demodulation,[],[f1471,f1121]) ).
fof(f1483,definition,
( spl31_13
<=> ! [X0] : k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),X0) = k9_relat_1(k6_relat_1(u1_struct_0(sK0)),X0) ),
introduced(definition,[new_symbols(definition,[spl31_13])],[avatar_definition]) ).
fof(f1484,plain,
( ! [X0] : k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),X0) = k9_relat_1(k6_relat_1(u1_struct_0(sK0)),X0)
| ~ spl31_13 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f1485,plain,
( spl31_13
| ~ spl31_8
| ~ spl31_12 ),
inference(avatar_split_clause,[],[f1396,f1317,f1296,f1483]) ).
fof(f1492,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(k6_relat_1(u1_struct_0(sK0)),X0))
| r2_hidden(sK25(u1_struct_0(sK0),X0,k6_relat_1(u1_struct_0(sK0)),X1),X0)
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) )
| ~ spl31_13 ),
inference(superposition,[],[f431,f1484]) ).
fof(f1498,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(k6_relat_1(u1_struct_0(sK0)),X0))
| r2_hidden(sK25(u1_struct_0(sK0),X0,k6_relat_1(u1_struct_0(sK0)),X1),X0)
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) )
| ~ spl31_13 ),
inference(forward_subsumption_resolution,[],[f1492,f376]) ).
fof(f1503,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(k6_relat_1(u1_struct_0(sK0)),X0))
| r2_hidden(sK25(u1_struct_0(sK0),X0,k6_relat_1(u1_struct_0(sK0)),X1),X0)
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0)) )
| ~ spl31_8
| ~ spl31_13 ),
inference(forward_subsumption_resolution,[],[f1498,f1297]) ).
fof(f1508,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(k6_relat_1(u1_struct_0(sK0)),X0))
| r2_hidden(sK25(u1_struct_0(sK0),X0,k6_relat_1(u1_struct_0(sK0)),X1),X0) )
| ~ spl31_8
| ~ spl31_13 ),
inference(forward_subsumption_resolution,[],[f1503,f450]) ).
fof(f1571,plain,
( ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ spl31_10 ),
inference(equality_resolution,[],[f1310]) ).
fof(f1572,plain,
( sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ spl31_10 ),
inference(forward_subsumption_resolution,[],[f1571,f376]) ).
fof(f1576,plain,
( sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))) = k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK0),k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ spl31_10 ),
inference(forward_subsumption_resolution,[],[f1572,f450]) ).
fof(f1580,plain,
( sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))) = k9_relat_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ spl31_10
| ~ spl31_13 ),
inference(forward_demodulation,[],[f1576,f1484]) ).
fof(f1613,definition,
( spl31_17
<=> ! [X0] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k9_relat_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl31_17])],[avatar_definition]) ).
fof(f1614,plain,
( ! [X0] :
( sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0) = k9_relat_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0) )
| ~ spl31_17 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f1615,plain,
( spl31_17
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_8
| ~ spl31_12 ),
inference(avatar_split_clause,[],[f1476,f1317,f1296,f1119,f827,f490,f485,f480,f1613]) ).
fof(f1616,plain,
( ! [X0,X1] :
( r2_hidden(k1_funct_1(k6_relat_1(u1_struct_0(sK0)),X1),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ r2_hidden(X1,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| sP28(k6_relat_1(u1_struct_0(sK0)),X1)
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0) )
| ~ spl31_17 ),
inference(superposition,[],[f472,f1614]) ).
fof(f1741,plain,
( ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),sK0)
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ spl31_11 ),
inference(equality_resolution,[],[f1314]) ).
fof(f1742,plain,
( m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),sK0)
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ spl31_11 ),
inference(forward_subsumption_resolution,[],[f1741,f376]) ).
fof(f1746,plain,
( m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),sK0)
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ spl31_11 ),
inference(forward_subsumption_resolution,[],[f1742,f450]) ).
fof(f1757,definition,
( spl31_19
<=> v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_19])],[avatar_definition]) ).
fof(f1758,plain,
( v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ spl31_19 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1759,plain,
( ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| spl31_19 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1761,definition,
( spl31_20
<=> m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),sK0) ),
introduced(definition,[new_symbols(definition,[spl31_20])],[avatar_definition]) ).
fof(f1763,plain,
( m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),sK0)
| ~ spl31_20 ),
inference(avatar_component_clause,[],[f1761]) ).
fof(f1764,plain,
( ~ spl31_19
| spl31_20
| ~ spl31_11 ),
inference(avatar_split_clause,[],[f1746,f1313,f1761,f1757]) ).
fof(f1766,plain,
( ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| ~ v1_partfun1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| spl31_19 ),
inference(resolution,[],[f1759,f271]) ).
fof(f1773,plain,
( ~ v1_partfun1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| spl31_19 ),
inference(forward_subsumption_resolution,[],[f1766,f376]) ).
fof(f1778,plain,
( ~ m1_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| spl31_19 ),
inference(forward_subsumption_resolution,[],[f1773,f449]) ).
fof(f1786,definition,
( spl31_21
<=> m1_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_21])],[avatar_definition]) ).
fof(f1788,plain,
( ~ m1_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| spl31_21 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f1789,plain,
( ~ spl31_21
| spl31_19 ),
inference(avatar_split_clause,[],[f1778,f1757,f1786]) ).
fof(f1790,plain,
( ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| spl31_21 ),
inference(resolution,[],[f1788,f422]) ).
fof(f1797,plain,
( $false
| spl31_21 ),
inference(forward_subsumption_resolution,[],[f1790,f450]) ).
fof(f1798,plain,
spl31_21,
inference(avatar_contradiction_clause,[],[f1797]) ).
fof(f1808,plain,
( sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))) = k9_relat_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| ~ spl31_10
| ~ spl31_13
| ~ spl31_19 ),
inference(backward_subsumption_resolution,[],[f1580,f1758]) ).
fof(f1810,plain,
( r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),u1_struct_0(sK0))
| v3_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl31_20 ),
inference(resolution,[],[f1763,f320]) ).
fof(f1811,plain,
( l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl31_20 ),
inference(resolution,[],[f1763,f345]) ).
fof(f1812,plain,
( v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl31_20 ),
inference(resolution,[],[f1763,f346]) ).
fof(f1813,plain,
( ~ v3_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl31_20 ),
inference(resolution,[],[f1763,f347]) ).
fof(f1839,plain,
( ~ v3_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| spl31_1
| ~ spl31_20 ),
inference(forward_subsumption_resolution,[],[f1813,f482]) ).
fof(f1840,plain,
( v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| spl31_1
| ~ spl31_20 ),
inference(forward_subsumption_resolution,[],[f1812,f482]) ).
fof(f1841,plain,
( l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| spl31_1
| ~ spl31_20 ),
inference(forward_subsumption_resolution,[],[f1811,f482]) ).
fof(f1842,plain,
( r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),u1_struct_0(sK0))
| v3_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0)
| spl31_1
| ~ spl31_20 ),
inference(forward_subsumption_resolution,[],[f1810,f482]) ).
fof(f1856,plain,
( ~ v3_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ l1_group_1(sK0)
| spl31_1
| ~ spl31_3
| ~ spl31_20 ),
inference(forward_subsumption_resolution,[],[f1839,f492]) ).
fof(f1857,plain,
( v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ l1_group_1(sK0)
| spl31_1
| ~ spl31_3
| ~ spl31_20 ),
inference(forward_subsumption_resolution,[],[f1840,f492]) ).
fof(f1858,plain,
( l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ l1_group_1(sK0)
| spl31_1
| ~ spl31_3
| ~ spl31_20 ),
inference(forward_subsumption_resolution,[],[f1841,f492]) ).
fof(f1859,plain,
( r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),u1_struct_0(sK0))
| v3_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ l1_group_1(sK0)
| spl31_1
| ~ spl31_3
| ~ spl31_20 ),
inference(forward_subsumption_resolution,[],[f1842,f492]) ).
fof(f1873,plain,
( ~ v3_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_20 ),
inference(forward_subsumption_resolution,[],[f1856,f487]) ).
fof(f1874,plain,
( v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_20 ),
inference(forward_subsumption_resolution,[],[f1857,f487]) ).
fof(f1875,plain,
( l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_20 ),
inference(forward_subsumption_resolution,[],[f1858,f487]) ).
fof(f1876,plain,
( r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),u1_struct_0(sK0))
| v3_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_20 ),
inference(forward_subsumption_resolution,[],[f1859,f487]) ).
fof(f1890,plain,
( r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),u1_struct_0(sK0))
| ~ v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_20 ),
inference(forward_subsumption_resolution,[],[f1876,f1873]) ).
fof(f1893,plain,
( r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),u1_struct_0(sK0))
| ~ l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_20 ),
inference(forward_subsumption_resolution,[],[f1890,f1874]) ).
fof(f1896,plain,
( r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),u1_struct_0(sK0))
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_20 ),
inference(forward_subsumption_resolution,[],[f1893,f1875]) ).
fof(f1977,definition,
( spl31_22
<=> sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))) = k9_relat_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))) ),
introduced(definition,[new_symbols(definition,[spl31_22])],[avatar_definition]) ).
fof(f1979,plain,
( sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))) = k9_relat_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| ~ spl31_22 ),
inference(avatar_component_clause,[],[f1977]) ).
fof(f1980,plain,
( spl31_22
| ~ spl31_10
| ~ spl31_13
| ~ spl31_19 ),
inference(avatar_split_clause,[],[f1808,f1757,f1483,f1309,f1977]) ).
fof(f2086,definition,
( spl31_26
<=> r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_26])],[avatar_definition]) ).
fof(f2088,plain,
( r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),u1_struct_0(sK0))
| ~ spl31_26 ),
inference(avatar_component_clause,[],[f2086]) ).
fof(f2089,plain,
( spl31_26
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_20 ),
inference(avatar_split_clause,[],[f1896,f1761,f490,f485,f480,f2086]) ).
fof(f2091,definition,
( spl31_27
<=> l1_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl31_27])],[avatar_definition]) ).
fof(f2093,plain,
( l1_struct_0(sK0)
| ~ spl31_27 ),
inference(avatar_component_clause,[],[f2091]) ).
fof(f2094,plain,
( spl31_27
| ~ spl31_2 ),
inference(avatar_split_clause,[],[f737,f485,f2091]) ).
fof(f2261,definition,
( spl31_34
<=> ! [X0] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl31_34])],[avatar_definition]) ).
fof(f2262,plain,
( ! [X0] :
( m1_group_2(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0),sK0)
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0) )
| ~ spl31_34 ),
inference(avatar_component_clause,[],[f2261]) ).
fof(f2263,plain,
( spl31_34
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_8 ),
inference(avatar_split_clause,[],[f1474,f1296,f1119,f827,f490,f485,f480,f2261]) ).
fof(f2265,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),u1_struct_0(sK0))
| v3_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_34 ),
inference(resolution,[],[f2262,f320]) ).
fof(f2266,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_34 ),
inference(resolution,[],[f2262,f345]) ).
fof(f2267,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_34 ),
inference(resolution,[],[f2262,f346]) ).
fof(f2268,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v3_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_34 ),
inference(resolution,[],[f2262,f347]) ).
fof(f2289,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v3_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f2268,f482]) ).
fof(f2290,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f2267,f482]) ).
fof(f2291,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f2266,f482]) ).
fof(f2292,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),u1_struct_0(sK0))
| v3_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ v3_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f2265,f482]) ).
fof(f2303,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v3_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f2289,f492]) ).
fof(f2304,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f2290,f492]) ).
fof(f2305,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f2291,f492]) ).
fof(f2306,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),u1_struct_0(sK0))
| v3_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f2292,f492]) ).
fof(f2317,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v3_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f2303,f487]) ).
fof(f2318,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f2304,f487]) ).
fof(f2319,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f2305,f487]) ).
fof(f2320,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),u1_struct_0(sK0))
| v3_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f2306,f487]) ).
fof(f2331,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),u1_struct_0(sK0))
| ~ v3_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f2320,f2317]) ).
fof(f2342,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),u1_struct_0(sK0))
| ~ l1_group_1(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f2331,f2318]) ).
fof(f2345,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),u1_struct_0(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_34 ),
inference(forward_subsumption_resolution,[],[f2342,f2319]) ).
fof(f2602,plain,
( ! [X0] :
( r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))) )
| ~ spl31_26 ),
inference(resolution,[],[f2088,f316]) ).
fof(f2702,definition,
( spl31_42
<=> ! [X0] : m1_subset_1(k9_relat_1(k6_relat_1(u1_struct_0(sK0)),X0),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl31_42])],[avatar_definition]) ).
fof(f2703,plain,
( ! [X0] : m1_subset_1(k9_relat_1(k6_relat_1(u1_struct_0(sK0)),X0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl31_42 ),
inference(avatar_component_clause,[],[f2702]) ).
fof(f2704,plain,
( spl31_42
| ~ spl31_8
| ~ spl31_12 ),
inference(avatar_split_clause,[],[f1417,f1317,f1296,f2702]) ).
fof(f2714,plain,
( m1_subset_1(sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl31_22
| ~ spl31_42 ),
inference(superposition,[],[f2703,f1979]) ).
fof(f3529,definition,
( spl31_64
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| k3_latsubgr(X0,sK0,X1) = X2
| m1_group_2(sK2(X0,sK0,X1,X2),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl31_64])],[avatar_definition]) ).
fof(f3530,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| k3_latsubgr(X0,sK0,X1) = X2
| m1_group_2(sK2(X0,sK0,X1,X2),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl31_64 ),
inference(avatar_component_clause,[],[f3529]) ).
fof(f3531,plain,
( spl31_64
| spl31_1
| ~ spl31_2
| ~ spl31_3 ),
inference(avatar_split_clause,[],[f704,f490,f485,f480,f3529]) ).
fof(f3536,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| m1_group_2(sK2(sK0,sK0,X1,X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_7
| ~ spl31_64 ),
inference(superposition,[],[f3530,f1121]) ).
fof(f3545,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| m1_group_2(sK2(sK0,sK0,X1,X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_7
| ~ spl31_64 ),
inference(forward_subsumption_resolution,[],[f3536,f482]) ).
fof(f3550,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| m1_group_2(sK2(sK0,sK0,X1,X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_7
| ~ spl31_64 ),
inference(forward_subsumption_resolution,[],[f3545,f492]) ).
fof(f3555,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| m1_group_2(sK2(sK0,sK0,X1,X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_64 ),
inference(forward_subsumption_resolution,[],[f3550,f829]) ).
fof(f3559,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| m1_group_2(sK2(sK0,sK0,X1,X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_64 ),
inference(forward_subsumption_resolution,[],[f3555,f487]) ).
fof(f3589,definition,
( spl31_66
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| k3_latsubgr(X0,sK0,X1) = X2
| sK3(X0,sK0,X1,X2) = k2_funct_2(u1_struct_0(X0),u1_struct_0(sK0),X1,u1_struct_0(sK2(X0,sK0,X1,X2)))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl31_66])],[avatar_definition]) ).
fof(f3590,plain,
( ! [X2,X0,X1] :
( sK3(X0,sK0,X1,X2) = k2_funct_2(u1_struct_0(X0),u1_struct_0(sK0),X1,u1_struct_0(sK2(X0,sK0,X1,X2)))
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| k3_latsubgr(X0,sK0,X1) = X2
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl31_66 ),
inference(avatar_component_clause,[],[f3589]) ).
fof(f3591,plain,
( spl31_66
| spl31_1
| ~ spl31_2
| ~ spl31_3 ),
inference(avatar_split_clause,[],[f698,f490,f485,f480,f3589]) ).
fof(f3599,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,sK3(X0,sK0,X1,X2))
| k1_funct_1(X1,sK25(u1_struct_0(X0),u1_struct_0(sK2(X0,sK0,X1,X2)),X1,X3)) = X3
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| k3_latsubgr(X0,sK0,X1) = X2
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl31_66 ),
inference(superposition,[],[f430,f3590]) ).
fof(f3607,plain,
( ! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,sK3(X0,sK0,X1,X2))
| k1_funct_1(X1,sK25(u1_struct_0(X0),u1_struct_0(sK2(X0,sK0,X1,X2)),X1,X3)) = X3
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| k3_latsubgr(X0,sK0,X1) = X2
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| ~ v1_funct_1(X2)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl31_66 ),
inference(duplicate_literal_removal,[],[f3599]) ).
fof(f3749,definition,
( spl31_71
<=> m1_subset_1(sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl31_71])],[avatar_definition]) ).
fof(f3751,plain,
( m1_subset_1(sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl31_71 ),
inference(avatar_component_clause,[],[f3749]) ).
fof(f3752,plain,
( spl31_71
| ~ spl31_22
| ~ spl31_42 ),
inference(avatar_split_clause,[],[f2714,f2702,f1977,f3749]) ).
fof(f4919,definition,
( spl31_99
<=> k1_xboole_0 = u1_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl31_99])],[avatar_definition]) ).
fof(f4920,plain,
( k1_xboole_0 != u1_struct_0(sK0)
| spl31_99 ),
inference(avatar_component_clause,[],[f4919]) ).
fof(f4921,plain,
( k1_xboole_0 = u1_struct_0(sK0)
| ~ spl31_99 ),
inference(avatar_component_clause,[],[f4919]) ).
fof(f5020,plain,
( ~ v1_xboole_0(k1_xboole_0)
| v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ spl31_99 ),
inference(superposition,[],[f370,f4921]) ).
fof(f5057,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ spl31_99 ),
inference(forward_subsumption_resolution,[],[f5020,f372]) ).
fof(f5121,plain,
( ~ l1_struct_0(sK0)
| spl31_1
| ~ spl31_99 ),
inference(forward_subsumption_resolution,[],[f5057,f482]) ).
fof(f5179,plain,
( $false
| spl31_1
| ~ spl31_27
| ~ spl31_99 ),
inference(forward_subsumption_resolution,[],[f5121,f2093]) ).
fof(f5180,plain,
( spl31_1
| ~ spl31_27
| ~ spl31_99 ),
inference(avatar_contradiction_clause,[],[f5179]) ).
fof(f5354,plain,
( sP29(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl31_8
| spl31_99 ),
inference(backward_subsumption_resolution,[],[f1367,f4920]) ).
fof(f5376,definition,
( spl31_103
<=> ! [X2,X0,X1] :
( ~ m2_relset_1(X2,k1_group_3(sK0),u1_struct_0(k11_group_4(X0)))
| ~ v1_funct_2(X2,k1_group_3(sK0),u1_struct_0(k11_group_4(X0)))
| k3_latsubgr(sK0,X0,X1) = X2
| v1_group_1(sK2(sK0,X0,X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl31_103])],[avatar_definition]) ).
fof(f5377,plain,
( ! [X2,X0,X1] :
( ~ m2_relset_1(X2,k1_group_3(sK0),u1_struct_0(k11_group_4(X0)))
| ~ v1_funct_2(X2,k1_group_3(sK0),u1_struct_0(k11_group_4(X0)))
| k3_latsubgr(sK0,X0,X1) = X2
| v1_group_1(sK2(sK0,X0,X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(X0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl31_103 ),
inference(avatar_component_clause,[],[f5376]) ).
fof(f5378,plain,
( spl31_103
| spl31_1
| ~ spl31_2
| ~ spl31_3 ),
inference(avatar_split_clause,[],[f703,f490,f485,f480,f5376]) ).
fof(f5386,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| v1_group_1(sK2(sK0,sK0,X1,X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_7
| ~ spl31_103 ),
inference(superposition,[],[f5377,f1121]) ).
fof(f5389,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| v1_group_1(sK2(sK0,sK0,X1,X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_7
| ~ spl31_103 ),
inference(forward_subsumption_resolution,[],[f5386,f482]) ).
fof(f5394,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| v1_group_1(sK2(sK0,sK0,X1,X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_7
| ~ spl31_103 ),
inference(forward_subsumption_resolution,[],[f5389,f492]) ).
fof(f5399,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| v1_group_1(sK2(sK0,sK0,X1,X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103 ),
inference(forward_subsumption_resolution,[],[f5394,f829]) ).
fof(f5403,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| v1_group_1(sK2(sK0,sK0,X1,X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103 ),
inference(forward_subsumption_resolution,[],[f5399,f487]) ).
fof(f6310,definition,
( spl31_142
<=> sP29(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl31_142])],[avatar_definition]) ).
fof(f6312,plain,
( sP29(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl31_142 ),
inference(avatar_component_clause,[],[f6310]) ).
fof(f6313,plain,
( spl31_142
| ~ spl31_8
| spl31_99 ),
inference(avatar_split_clause,[],[f5354,f4919,f1296,f6310]) ).
fof(f6314,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ sP28(k6_relat_1(u1_struct_0(sK0)),X0) )
| ~ spl31_142 ),
inference(resolution,[],[f6312,f475]) ).
fof(f6315,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ sP28(k6_relat_1(u1_struct_0(sK0)),X0) )
| ~ spl31_142 ),
inference(forward_subsumption_resolution,[],[f6314,f376]) ).
fof(f6364,definition,
( spl31_145
<=> ! [X0,X1] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| m1_group_2(sK2(sK0,sK0,X1,X0),sK0)
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl31_145])],[avatar_definition]) ).
fof(f6365,plain,
( ! [X0,X1] :
( m1_group_2(sK2(sK0,sK0,X1,X0),sK0)
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0)) )
| ~ spl31_145 ),
inference(avatar_component_clause,[],[f6364]) ).
fof(f6366,plain,
( spl31_145
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_64 ),
inference(avatar_split_clause,[],[f3559,f3529,f1119,f827,f490,f485,f480,f6364]) ).
fof(f6375,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X1,X0) = X2
| ~ r1_group_2(sK0,X2,sK2(sK0,sK0,X1,X0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,sK0)
| ~ v1_group_1(sK2(sK0,sK0,X1,X0)) )
| ~ spl31_145 ),
inference(resolution,[],[f6365,f424]) ).
fof(f6378,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| r2_hidden(sK2(sK0,sK0,X1,X0),k1_group_3(sK0))
| ~ v1_group_1(sK2(sK0,sK0,X1,X0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_145 ),
inference(resolution,[],[f6365,f458]) ).
fof(f6389,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| r2_hidden(sK2(sK0,sK0,X1,X0),k1_group_3(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103
| ~ spl31_145 ),
inference(forward_subsumption_resolution,[],[f6378,f5403]) ).
fof(f6392,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X1,X0) = X2
| ~ r1_group_2(sK0,X2,sK2(sK0,sK0,X1,X0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,sK0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103
| ~ spl31_145 ),
inference(forward_subsumption_resolution,[],[f6375,f5403]) ).
fof(f6403,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| r2_hidden(sK2(sK0,sK0,X1,X0),k1_group_3(sK0))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103
| ~ spl31_145 ),
inference(forward_subsumption_resolution,[],[f6389,f482]) ).
fof(f6406,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X1,X0) = X2
| ~ r1_group_2(sK0,X2,sK2(sK0,sK0,X1,X0))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,sK0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103
| ~ spl31_145 ),
inference(forward_subsumption_resolution,[],[f6392,f482]) ).
fof(f6417,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| r2_hidden(sK2(sK0,sK0,X1,X0),k1_group_3(sK0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103
| ~ spl31_145 ),
inference(forward_subsumption_resolution,[],[f6403,f492]) ).
fof(f6420,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X1,X0) = X2
| ~ r1_group_2(sK0,X2,sK2(sK0,sK0,X1,X0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,sK0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103
| ~ spl31_145 ),
inference(forward_subsumption_resolution,[],[f6406,f492]) ).
fof(f6431,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| r2_hidden(sK2(sK0,sK0,X1,X0),k1_group_3(sK0))
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103
| ~ spl31_145 ),
inference(forward_subsumption_resolution,[],[f6417,f829]) ).
fof(f6434,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X1,X0) = X2
| ~ r1_group_2(sK0,X2,sK2(sK0,sK0,X1,X0))
| ~ l1_group_1(sK0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,sK0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103
| ~ spl31_145 ),
inference(forward_subsumption_resolution,[],[f6420,f829]) ).
fof(f6442,plain,
( ! [X0,X1] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| r2_hidden(sK2(sK0,sK0,X1,X0),k1_group_3(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103
| ~ spl31_145 ),
inference(forward_subsumption_resolution,[],[f6431,f487]) ).
fof(f6445,plain,
( ! [X2,X0,X1] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X1,X0) = X2
| ~ r1_group_2(sK0,X2,sK2(sK0,sK0,X1,X0))
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,sK0) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103
| ~ spl31_145 ),
inference(forward_subsumption_resolution,[],[f6434,f487]) ).
fof(f6580,definition,
( spl31_153
<=> ! [X0,X3,X2,X1] :
( ~ r2_hidden(X3,sK3(X0,sK0,X1,X2))
| k1_funct_1(X1,sK25(u1_struct_0(X0),u1_struct_0(sK2(X0,sK0,X1,X2)),X1,X3)) = X3
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| k3_latsubgr(X0,sK0,X1) = X2
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| ~ v1_funct_1(X2)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl31_153])],[avatar_definition]) ).
fof(f6581,plain,
( ! [X2,X3,X0,X1] :
( k1_funct_1(X1,sK25(u1_struct_0(X0),u1_struct_0(sK2(X0,sK0,X1,X2)),X1,X3)) = X3
| ~ r2_hidden(X3,sK3(X0,sK0,X1,X2))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK0))
| ~ v1_funct_2(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| k3_latsubgr(X0,sK0,X1) = X2
| ~ m2_relset_1(X2,u1_struct_0(k11_group_4(X0)),k1_group_3(sK0))
| ~ v1_funct_1(X2)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl31_153 ),
inference(avatar_component_clause,[],[f6580]) ).
fof(f6582,plain,
( spl31_153
| ~ spl31_66 ),
inference(avatar_split_clause,[],[f3607,f3589,f6580]) ).
fof(f7066,definition,
( spl31_168
<=> ! [X0,X1] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| v1_group_1(sK2(sK0,sK0,X1,X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl31_168])],[avatar_definition]) ).
fof(f7067,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| v1_group_1(sK2(sK0,sK0,X1,X0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0)) )
| ~ spl31_168 ),
inference(avatar_component_clause,[],[f7066]) ).
fof(f7068,plain,
( spl31_168
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103 ),
inference(avatar_split_clause,[],[f5403,f5376,f1119,f827,f490,f485,f480,f7066]) ).
fof(f9152,definition,
( spl31_215
<=> ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl31_215])],[avatar_definition]) ).
fof(f9153,plain,
( ! [X0] :
( r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),u1_struct_0(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0)) )
| ~ spl31_215 ),
inference(avatar_component_clause,[],[f9152]) ).
fof(f9154,plain,
( spl31_215
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_34 ),
inference(avatar_split_clause,[],[f2345,f2261,f490,f485,f480,f9152]) ).
fof(f9157,plain,
( ! [X0,X1] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| r2_hidden(X1,u1_struct_0(sK0))
| ~ r2_hidden(X1,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))) )
| ~ spl31_215 ),
inference(resolution,[],[f9153,f316]) ).
fof(f9696,definition,
( spl31_227
<=> ! [X0] :
( r2_hidden(X0,u1_struct_0(sK0))
| ~ r2_hidden(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))) ) ),
introduced(definition,[new_symbols(definition,[spl31_227])],[avatar_definition]) ).
fof(f9697,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| r2_hidden(X0,u1_struct_0(sK0)) )
| ~ spl31_227 ),
inference(avatar_component_clause,[],[f9696]) ).
fof(f9698,plain,
( spl31_227
| ~ spl31_26 ),
inference(avatar_split_clause,[],[f2602,f2086,f9696]) ).
fof(f14597,definition,
( spl31_338
<=> ! [X0,X1] :
( r2_hidden(k1_funct_1(k6_relat_1(u1_struct_0(sK0)),X1),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ r2_hidden(X1,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| sP28(k6_relat_1(u1_struct_0(sK0)),X1)
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl31_338])],[avatar_definition]) ).
fof(f14598,plain,
( ! [X0,X1] :
( r2_hidden(k1_funct_1(k6_relat_1(u1_struct_0(sK0)),X1),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ r2_hidden(X1,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| sP28(k6_relat_1(u1_struct_0(sK0)),X1)
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0) )
| ~ spl31_338 ),
inference(avatar_component_clause,[],[f14597]) ).
fof(f14599,plain,
( spl31_338
| ~ spl31_17 ),
inference(avatar_split_clause,[],[f1616,f1613,f14597]) ).
fof(f14611,plain,
( ! [X0,X1] :
( r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X1))
| ~ r2_hidden(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X1)))
| sP28(k6_relat_1(u1_struct_0(sK0)),X0)
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X1
| ~ v1_funct_1(X1)
| ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ v1_relat_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0))) )
| ~ spl31_338 ),
inference(superposition,[],[f14598,f467]) ).
fof(f14622,plain,
( ! [X0,X1] :
( r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X1))
| ~ r2_hidden(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X1)))
| sP28(k6_relat_1(u1_struct_0(sK0)),X0)
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X1
| ~ v1_funct_1(X1)
| ~ v1_relat_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0))) )
| ~ spl31_215
| ~ spl31_338 ),
inference(forward_subsumption_resolution,[],[f14611,f9157]) ).
fof(f14625,plain,
( ! [X0,X1] :
( r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X1))
| ~ r2_hidden(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X1)))
| sP28(k6_relat_1(u1_struct_0(sK0)),X0)
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X1
| ~ v1_funct_1(X1)
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0))) )
| ~ spl31_215
| ~ spl31_338 ),
inference(forward_subsumption_resolution,[],[f14622,f338]) ).
fof(f14628,plain,
( ! [X0,X1] :
( r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X1))
| ~ r2_hidden(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X1)))
| sP28(k6_relat_1(u1_struct_0(sK0)),X0)
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X1
| ~ v1_funct_1(X1) )
| ~ spl31_215
| ~ spl31_338 ),
inference(forward_subsumption_resolution,[],[f14625,f376]) ).
fof(f14632,definition,
( spl31_339
<=> ! [X0,X1] :
( r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X1))
| ~ r2_hidden(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X1)))
| sP28(k6_relat_1(u1_struct_0(sK0)),X0)
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X1
| ~ v1_funct_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl31_339])],[avatar_definition]) ).
fof(f14633,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X1)))
| r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X1))
| sP28(k6_relat_1(u1_struct_0(sK0)),X0)
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X1
| ~ v1_funct_1(X1) )
| ~ spl31_339 ),
inference(avatar_component_clause,[],[f14632]) ).
fof(f14634,plain,
( spl31_339
| ~ spl31_215
| ~ spl31_338 ),
inference(avatar_split_clause,[],[f14628,f14597,f9152,f14632]) ).
fof(f14640,plain,
( ! [X0,X1] :
( r2_hidden(sK4(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),X1),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| sP28(k6_relat_1(u1_struct_0(sK0)),sK4(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),X1))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),X1) )
| ~ spl31_339 ),
inference(resolution,[],[f14633,f317]) ).
fof(f15978,definition,
( spl31_376
<=> ! [X0,X1] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| r2_hidden(sK2(sK0,sK0,X1,X0),k1_group_3(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl31_376])],[avatar_definition]) ).
fof(f15979,plain,
( ! [X0,X1] :
( r2_hidden(sK2(sK0,sK0,X1,X0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0)) )
| ~ spl31_376 ),
inference(avatar_component_clause,[],[f15978]) ).
fof(f15980,plain,
( spl31_376
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103
| ~ spl31_145 ),
inference(avatar_split_clause,[],[f6442,f6364,f5376,f1119,f827,f490,f485,f480,f15978]) ).
fof(f15992,plain,
( ! [X0,X1] :
( k3_latsubgr(sK0,sK0,X0) = X1
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| sK2(sK0,sK0,X0,X1) = k1_funct_1(k6_relat_1(k1_group_3(sK0)),sK2(sK0,sK0,X0,X1))
| ~ v1_relat_1(k6_relat_1(k1_group_3(sK0)))
| ~ v1_funct_1(k6_relat_1(k1_group_3(sK0))) )
| ~ spl31_376 ),
inference(resolution,[],[f15979,f467]) ).
fof(f16003,plain,
( ! [X0,X1] :
( k3_latsubgr(sK0,sK0,X0) = X1
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| sK2(sK0,sK0,X0,X1) = k1_funct_1(k6_relat_1(k1_group_3(sK0)),sK2(sK0,sK0,X0,X1))
| ~ v1_funct_1(k6_relat_1(k1_group_3(sK0))) )
| ~ spl31_376 ),
inference(forward_subsumption_resolution,[],[f15992,f338]) ).
fof(f16007,plain,
( ! [X0,X1] :
( k3_latsubgr(sK0,sK0,X0) = X1
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| sK2(sK0,sK0,X0,X1) = k1_funct_1(k6_relat_1(k1_group_3(sK0)),sK2(sK0,sK0,X0,X1)) )
| ~ spl31_376 ),
inference(forward_subsumption_resolution,[],[f16003,f376]) ).
fof(f16015,definition,
( spl31_377
<=> ! [X0,X1] :
( k3_latsubgr(sK0,sK0,X0) = X1
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| sK2(sK0,sK0,X0,X1) = k1_funct_1(k6_relat_1(k1_group_3(sK0)),sK2(sK0,sK0,X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl31_377])],[avatar_definition]) ).
fof(f16016,plain,
( ! [X0,X1] :
( sK2(sK0,sK0,X0,X1) = k1_funct_1(k6_relat_1(k1_group_3(sK0)),sK2(sK0,sK0,X0,X1))
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X0) = X1 )
| ~ spl31_377 ),
inference(avatar_component_clause,[],[f16015]) ).
fof(f16017,plain,
( spl31_377
| ~ spl31_376 ),
inference(avatar_split_clause,[],[f16007,f15978,f16015]) ).
fof(f16026,plain,
( ! [X0] :
( sK2(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))) != k5_group_4(sK0,sK3(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))))
| k6_relat_1(k1_group_3(sK0)) = k3_latsubgr(sK0,sK0,X0)
| ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| k6_relat_1(k1_group_3(sK0)) = k3_latsubgr(sK0,sK0,X0) )
| ~ spl31_377 ),
inference(superposition,[],[f315,f16016]) ).
fof(f16028,plain,
( ! [X0] :
( sK2(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))) != k5_group_4(sK0,sK3(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))))
| k6_relat_1(k1_group_3(sK0)) = k3_latsubgr(sK0,sK0,X0)
| ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0)) )
| ~ spl31_377 ),
inference(duplicate_literal_removal,[],[f16026]) ).
fof(f16034,plain,
( ! [X0] :
( sK2(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))) != k5_group_4(sK0,sK3(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))))
| k6_relat_1(k1_group_3(sK0)) = k3_latsubgr(sK0,sK0,X0)
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0)) )
| ~ spl31_377 ),
inference(forward_subsumption_resolution,[],[f16028,f376]) ).
fof(f16039,plain,
( ! [X0] :
( sK2(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))) != k5_group_4(sK0,sK3(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))))
| k6_relat_1(k1_group_3(sK0)) = k3_latsubgr(sK0,sK0,X0)
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0)) )
| spl31_1
| ~ spl31_377 ),
inference(forward_subsumption_resolution,[],[f16034,f482]) ).
fof(f16044,plain,
( ! [X0] :
( sK2(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))) != k5_group_4(sK0,sK3(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))))
| k6_relat_1(k1_group_3(sK0)) = k3_latsubgr(sK0,sK0,X0)
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0)) )
| spl31_1
| ~ spl31_3
| ~ spl31_377 ),
inference(forward_subsumption_resolution,[],[f16039,f492]) ).
fof(f16049,plain,
( ! [X0] :
( sK2(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))) != k5_group_4(sK0,sK3(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))))
| k6_relat_1(k1_group_3(sK0)) = k3_latsubgr(sK0,sK0,X0)
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ l1_group_1(sK0)
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0)) )
| spl31_1
| ~ spl31_3
| ~ spl31_4
| ~ spl31_377 ),
inference(forward_subsumption_resolution,[],[f16044,f829]) ).
fof(f16054,plain,
( ! [X0] :
( sK2(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))) != k5_group_4(sK0,sK3(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))))
| k6_relat_1(k1_group_3(sK0)) = k3_latsubgr(sK0,sK0,X0)
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_377 ),
inference(forward_subsumption_resolution,[],[f16049,f487]) ).
fof(f16056,plain,
( ! [X0] :
( sK2(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))) != k5_group_4(sK0,sK3(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))))
| k6_relat_1(k1_group_3(sK0)) = k3_latsubgr(sK0,sK0,X0)
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_377 ),
inference(forward_subsumption_resolution,[],[f16054,f450]) ).
fof(f16058,plain,
( ! [X0] :
( sK2(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))) != k5_group_4(sK0,sK3(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))))
| k6_relat_1(k1_group_3(sK0)) = k3_latsubgr(sK0,sK0,X0)
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_19
| ~ spl31_377 ),
inference(forward_subsumption_resolution,[],[f16056,f1758]) ).
fof(f16060,plain,
( ! [X0] :
( ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| sK2(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))) != k5_group_4(sK0,sK3(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))))
| k6_relat_1(k1_group_3(sK0)) = k3_latsubgr(sK0,sK0,X0)
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_19
| ~ spl31_377 ),
inference(forward_demodulation,[],[f16058,f1121]) ).
fof(f16062,plain,
( ! [X0] :
( sK2(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))) != k5_group_4(sK0,sK3(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))))
| k6_relat_1(k1_group_3(sK0)) = k3_latsubgr(sK0,sK0,X0)
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK0)))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_19
| ~ spl31_377 ),
inference(forward_subsumption_resolution,[],[f16060,f1758]) ).
fof(f16064,plain,
( ! [X0] :
( ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| sK2(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))) != k5_group_4(sK0,sK3(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))))
| k6_relat_1(k1_group_3(sK0)) = k3_latsubgr(sK0,sK0,X0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_19
| ~ spl31_377 ),
inference(forward_demodulation,[],[f16062,f1121]) ).
fof(f16066,plain,
( ! [X0] :
( sK2(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))) != k5_group_4(sK0,sK3(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))))
| k6_relat_1(k1_group_3(sK0)) = k3_latsubgr(sK0,sK0,X0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_19
| ~ spl31_377 ),
inference(forward_subsumption_resolution,[],[f16064,f450]) ).
fof(f16069,definition,
( spl31_378
<=> ! [X0] :
( sK2(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))) != k5_group_4(sK0,sK3(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))))
| k6_relat_1(k1_group_3(sK0)) = k3_latsubgr(sK0,sK0,X0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl31_378])],[avatar_definition]) ).
fof(f16070,plain,
( ! [X0] :
( sK2(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))) != k5_group_4(sK0,sK3(sK0,sK0,X0,k6_relat_1(k1_group_3(sK0))))
| k6_relat_1(k1_group_3(sK0)) = k3_latsubgr(sK0,sK0,X0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0)) )
| ~ spl31_378 ),
inference(avatar_component_clause,[],[f16069]) ).
fof(f16071,plain,
( spl31_378
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_19
| ~ spl31_377 ),
inference(avatar_split_clause,[],[f16066,f16015,f1757,f1119,f827,f490,f485,f480,f16069]) ).
fof(f18500,definition,
( spl31_422
<=> ! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(k6_relat_1(u1_struct_0(sK0)),X0))
| r2_hidden(sK25(u1_struct_0(sK0),X0,k6_relat_1(u1_struct_0(sK0)),X1),X0) ) ),
introduced(definition,[new_symbols(definition,[spl31_422])],[avatar_definition]) ).
fof(f18501,plain,
( ! [X0,X1] :
( r2_hidden(sK25(u1_struct_0(sK0),X0,k6_relat_1(u1_struct_0(sK0)),X1),X0)
| ~ r2_hidden(X1,k9_relat_1(k6_relat_1(u1_struct_0(sK0)),X0)) )
| ~ spl31_422 ),
inference(avatar_component_clause,[],[f18500]) ).
fof(f18502,plain,
( spl31_422
| ~ spl31_8
| ~ spl31_13 ),
inference(avatar_split_clause,[],[f1508,f1483,f1296,f18500]) ).
fof(f18513,plain,
( ! [X0] :
( ~ r2_hidden(X0,k9_relat_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))))
| r2_hidden(sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0),u1_struct_0(sK0)) )
| ~ spl31_227
| ~ spl31_422 ),
inference(resolution,[],[f18501,f9697]) ).
fof(f18526,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| r2_hidden(sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0),u1_struct_0(sK0)) )
| ~ spl31_22
| ~ spl31_227
| ~ spl31_422 ),
inference(forward_demodulation,[],[f18513,f1979]) ).
fof(f19076,definition,
( spl31_438
<=> ! [X0,X1] :
( r2_hidden(sK4(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),X1),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| sP28(k6_relat_1(u1_struct_0(sK0)),sK4(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),X1))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),X1) ) ),
introduced(definition,[new_symbols(definition,[spl31_438])],[avatar_definition]) ).
fof(f19077,plain,
( ! [X0,X1] :
( r2_hidden(sK4(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),X1),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| sP28(k6_relat_1(u1_struct_0(sK0)),sK4(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),X1))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),X1) )
| ~ spl31_438 ),
inference(avatar_component_clause,[],[f19076]) ).
fof(f19078,plain,
( spl31_438
| ~ spl31_339 ),
inference(avatar_split_clause,[],[f14640,f14632,f19076]) ).
fof(f19080,plain,
( ! [X0] :
( sP28(k6_relat_1(u1_struct_0(sK0)),sK4(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)) )
| ~ spl31_438 ),
inference(resolution,[],[f19077,f318]) ).
fof(f19092,plain,
( ! [X0] :
( sP28(k6_relat_1(u1_struct_0(sK0)),sK4(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)) )
| ~ spl31_438 ),
inference(duplicate_literal_removal,[],[f19080]) ).
fof(f20242,definition,
( spl31_475
<=> ! [X0] :
( sP28(k6_relat_1(u1_struct_0(sK0)),sK4(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl31_475])],[avatar_definition]) ).
fof(f20243,plain,
( ! [X0] :
( sP28(k6_relat_1(u1_struct_0(sK0)),sK4(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)) )
| ~ spl31_475 ),
inference(avatar_component_clause,[],[f20242]) ).
fof(f20244,plain,
( spl31_475
| ~ spl31_438 ),
inference(avatar_split_clause,[],[f19092,f19076,f20242]) ).
fof(f22393,definition,
( spl31_515
<=> ! [X2,X0,X1] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X1,X0) = X2
| ~ r1_group_2(sK0,X2,sK2(sK0,sK0,X1,X0))
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl31_515])],[avatar_definition]) ).
fof(f22394,plain,
( ! [X2,X0,X1] :
( ~ r1_group_2(sK0,X2,sK2(sK0,sK0,X1,X0))
| k3_latsubgr(sK0,sK0,X1) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X1,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X1,X0) = X2
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,sK0) )
| ~ spl31_515 ),
inference(avatar_component_clause,[],[f22393]) ).
fof(f22395,plain,
( spl31_515
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103
| ~ spl31_145 ),
inference(avatar_split_clause,[],[f6445,f6364,f5376,f1119,f827,f490,f485,f480,f22393]) ).
fof(f22406,plain,
( ! [X0,X1] :
( k3_latsubgr(sK0,sK0,X0) = X1
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X0,X1) = k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1)))
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_group_1(k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1))))
| ~ m1_group_2(k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1))),sK0)
| ~ v1_group_1(sK2(sK0,sK0,X0,X1))
| ~ m1_group_2(sK2(sK0,sK0,X0,X1),sK0)
| ~ m1_subset_1(u1_struct_0(sK2(sK0,sK0,X0,X1)),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_515 ),
inference(resolution,[],[f22394,f468]) ).
fof(f22416,plain,
( ! [X0,X1] :
( k3_latsubgr(sK0,sK0,X0) = X1
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X0,X1) = k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1)))
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_group_1(k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1))))
| ~ m1_group_2(k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1))),sK0)
| ~ m1_group_2(sK2(sK0,sK0,X0,X1),sK0)
| ~ m1_subset_1(u1_struct_0(sK2(sK0,sK0,X0,X1)),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_168
| ~ spl31_515 ),
inference(forward_subsumption_resolution,[],[f22406,f7067]) ).
fof(f22418,plain,
( ! [X0,X1] :
( k3_latsubgr(sK0,sK0,X0) = X1
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X0,X1) = k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1)))
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_group_1(k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1))))
| ~ m1_group_2(k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1))),sK0)
| ~ m1_subset_1(u1_struct_0(sK2(sK0,sK0,X0,X1)),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_145
| ~ spl31_168
| ~ spl31_515 ),
inference(forward_subsumption_resolution,[],[f22416,f6365]) ).
fof(f22420,plain,
( ! [X0,X1] :
( k3_latsubgr(sK0,sK0,X0) = X1
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X0,X1) = k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1)))
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_group_2(k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1))),sK0)
| ~ m1_subset_1(u1_struct_0(sK2(sK0,sK0,X0,X1)),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_145
| ~ spl31_168
| ~ spl31_515 ),
inference(forward_subsumption_resolution,[],[f22418,f335]) ).
fof(f22421,plain,
( ! [X0,X1] :
( k3_latsubgr(sK0,sK0,X0) = X1
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X0,X1) = k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1)))
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_subset_1(u1_struct_0(sK2(sK0,sK0,X0,X1)),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_145
| ~ spl31_168
| ~ spl31_515 ),
inference(forward_subsumption_resolution,[],[f22420,f334]) ).
fof(f22422,plain,
( ! [X0,X1] :
( k3_latsubgr(sK0,sK0,X0) = X1
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X0,X1) = k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1)))
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_subset_1(u1_struct_0(sK2(sK0,sK0,X0,X1)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_145
| ~ spl31_168
| ~ spl31_515 ),
inference(forward_subsumption_resolution,[],[f22421,f482]) ).
fof(f22423,plain,
( ! [X0,X1] :
( k3_latsubgr(sK0,sK0,X0) = X1
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X0,X1) = k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1)))
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_subset_1(u1_struct_0(sK2(sK0,sK0,X0,X1)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_145
| ~ spl31_168
| ~ spl31_515 ),
inference(forward_subsumption_resolution,[],[f22422,f492]) ).
fof(f22424,plain,
( ! [X0,X1] :
( k3_latsubgr(sK0,sK0,X0) = X1
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X0,X1) = k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1)))
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_subset_1(u1_struct_0(sK2(sK0,sK0,X0,X1)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_4
| ~ spl31_145
| ~ spl31_168
| ~ spl31_515 ),
inference(forward_subsumption_resolution,[],[f22423,f829]) ).
fof(f22425,plain,
( ! [X0,X1] :
( k3_latsubgr(sK0,sK0,X0) = X1
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X0,X1) = k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1)))
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_subset_1(u1_struct_0(sK2(sK0,sK0,X0,X1)),k1_zfmisc_1(u1_struct_0(sK0))) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_145
| ~ spl31_168
| ~ spl31_515 ),
inference(forward_subsumption_resolution,[],[f22424,f487]) ).
fof(f22427,definition,
( spl31_516
<=> ! [X0,X1] :
( k3_latsubgr(sK0,sK0,X0) = X1
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| sK2(sK0,sK0,X0,X1) = k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1)))
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_subset_1(u1_struct_0(sK2(sK0,sK0,X0,X1)),k1_zfmisc_1(u1_struct_0(sK0))) ) ),
introduced(definition,[new_symbols(definition,[spl31_516])],[avatar_definition]) ).
fof(f22428,plain,
( ! [X0,X1] :
( sK2(sK0,sK0,X0,X1) = k5_group_4(sK0,u1_struct_0(sK2(sK0,sK0,X0,X1)))
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(X0,u1_struct_0(sK0),u1_struct_0(sK0))
| k3_latsubgr(sK0,sK0,X0) = X1
| ~ v1_funct_2(X1,k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_subset_1(u1_struct_0(sK2(sK0,sK0,X0,X1)),k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ spl31_516 ),
inference(avatar_component_clause,[],[f22427]) ).
fof(f22429,plain,
( spl31_516
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_145
| ~ spl31_168
| ~ spl31_515 ),
inference(avatar_split_clause,[],[f22425,f22393,f7066,f6364,f827,f490,f485,f480,f22427]) ).
fof(f33852,definition,
( spl31_729
<=> ! [X0,X1] :
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| r2_hidden(X1,u1_struct_0(sK0))
| ~ r2_hidden(X1,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))) ) ),
introduced(definition,[new_symbols(definition,[spl31_729])],[avatar_definition]) ).
fof(f33853,plain,
( ! [X0,X1] :
( ~ r2_hidden(X1,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| r2_hidden(X1,u1_struct_0(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0 )
| ~ spl31_729 ),
inference(avatar_component_clause,[],[f33852]) ).
fof(f33854,plain,
( spl31_729
| ~ spl31_215 ),
inference(avatar_split_clause,[],[f9157,f9152,f33852]) ).
fof(f33862,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| r2_hidden(sK4(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),X1),u1_struct_0(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),X1) )
| ~ spl31_729 ),
inference(resolution,[],[f33853,f317]) ).
fof(f35236,definition,
( spl31_757
<=> ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK0))
| ~ sP28(k6_relat_1(u1_struct_0(sK0)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl31_757])],[avatar_definition]) ).
fof(f35237,plain,
( ! [X0] :
( ~ sP28(k6_relat_1(u1_struct_0(sK0)),X0)
| ~ r2_hidden(X0,u1_struct_0(sK0)) )
| ~ spl31_757 ),
inference(avatar_component_clause,[],[f35236]) ).
fof(f35238,plain,
( spl31_757
| ~ spl31_142 ),
inference(avatar_split_clause,[],[f6315,f6310,f35236]) ).
fof(f35239,plain,
( ! [X0] :
( ~ r2_hidden(sK4(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),u1_struct_0(sK0))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)) )
| ~ spl31_475
| ~ spl31_757 ),
inference(resolution,[],[f35237,f20243]) ).
fof(f35242,plain,
( ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)) )
| ~ spl31_475
| ~ spl31_729
| ~ spl31_757 ),
inference(forward_subsumption_resolution,[],[f35239,f33862]) ).
fof(f35244,definition,
( spl31_758
<=> ! [X0] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0)
| r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl31_758])],[avatar_definition]) ).
fof(f35245,plain,
( ! [X0] :
( r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0)),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),X0))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = X0
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_group_3(sK0)) )
| ~ spl31_758 ),
inference(avatar_component_clause,[],[f35244]) ).
fof(f35246,plain,
( spl31_758
| ~ spl31_475
| ~ spl31_729
| ~ spl31_757 ),
inference(avatar_split_clause,[],[f35242,f35236,f33852,f20242,f35244]) ).
fof(f71911,definition,
( spl31_1234
<=> ! [X0] :
( ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| r2_hidden(sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0),u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl31_1234])],[avatar_definition]) ).
fof(f71912,plain,
( ! [X0] :
( r2_hidden(sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0),u1_struct_0(sK0))
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) )
| ~ spl31_1234 ),
inference(avatar_component_clause,[],[f71911]) ).
fof(f71913,plain,
( spl31_1234
| ~ spl31_22
| ~ spl31_227
| ~ spl31_422 ),
inference(avatar_split_clause,[],[f18526,f18500,f9696,f1977,f71911]) ).
fof(f71921,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = k1_funct_1(k6_relat_1(u1_struct_0(sK0)),sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0))
| ~ v1_relat_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0))) )
| ~ spl31_1234 ),
inference(resolution,[],[f71912,f467]) ).
fof(f71941,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = k1_funct_1(k6_relat_1(u1_struct_0(sK0)),sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0))) )
| ~ spl31_1234 ),
inference(forward_subsumption_resolution,[],[f71921,f338]) ).
fof(f71945,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = k1_funct_1(k6_relat_1(u1_struct_0(sK0)),sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0)) )
| ~ spl31_1234 ),
inference(forward_subsumption_resolution,[],[f71941,f376]) ).
fof(f77145,definition,
( spl31_1330
<=> ! [X0] :
( ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = k1_funct_1(k6_relat_1(u1_struct_0(sK0)),sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl31_1330])],[avatar_definition]) ).
fof(f77146,plain,
( ! [X0] :
( sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = k1_funct_1(k6_relat_1(u1_struct_0(sK0)),sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0))
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) )
| ~ spl31_1330 ),
inference(avatar_component_clause,[],[f77145]) ).
fof(f77147,plain,
( spl31_1330
| ~ spl31_1234 ),
inference(avatar_split_clause,[],[f71945,f71911,f77145]) ).
fof(f77192,plain,
( ! [X0] :
( sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) )
| ~ spl31_153
| ~ spl31_1330 ),
inference(superposition,[],[f6581,f77146]) ).
fof(f77210,plain,
( ! [X0] :
( sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_153
| ~ spl31_1330 ),
inference(duplicate_literal_removal,[],[f77192]) ).
fof(f77240,plain,
( ! [X0] :
( sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_153
| ~ spl31_1330 ),
inference(forward_subsumption_resolution,[],[f77210,f376]) ).
fof(f77250,plain,
( ! [X0] :
( sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_153
| ~ spl31_1330 ),
inference(forward_subsumption_resolution,[],[f77240,f376]) ).
fof(f77259,plain,
( ! [X0] :
( sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_8
| ~ spl31_153
| ~ spl31_1330 ),
inference(forward_subsumption_resolution,[],[f77250,f1297]) ).
fof(f77268,plain,
( ! [X0] :
( sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| ~ spl31_8
| ~ spl31_153
| ~ spl31_1330 ),
inference(forward_subsumption_resolution,[],[f77259,f450]) ).
fof(f77277,plain,
( ! [X0] :
( sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_6
| ~ spl31_8
| ~ spl31_153
| ~ spl31_1330 ),
inference(forward_subsumption_resolution,[],[f77268,f1066]) ).
fof(f77283,plain,
( ! [X0] :
( sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| spl31_6
| ~ spl31_8
| ~ spl31_153
| ~ spl31_1330 ),
inference(forward_subsumption_resolution,[],[f77277,f482]) ).
fof(f77289,plain,
( ! [X0] :
( sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| spl31_6
| ~ spl31_8
| ~ spl31_153
| ~ spl31_1330 ),
inference(forward_subsumption_resolution,[],[f77283,f492]) ).
fof(f77295,plain,
( ! [X0] :
( sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| ~ l1_group_1(sK0) )
| spl31_1
| ~ spl31_3
| ~ spl31_4
| spl31_6
| ~ spl31_8
| ~ spl31_153
| ~ spl31_1330 ),
inference(forward_subsumption_resolution,[],[f77289,f829]) ).
fof(f77301,plain,
( ! [X0] :
( sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6
| ~ spl31_8
| ~ spl31_153
| ~ spl31_1330 ),
inference(forward_subsumption_resolution,[],[f77295,f487]) ).
fof(f77307,plain,
( ! [X0] :
( ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6
| ~ spl31_7
| ~ spl31_8
| ~ spl31_153
| ~ spl31_1330 ),
inference(forward_demodulation,[],[f77301,f1121]) ).
fof(f77313,plain,
( ! [X0] :
( sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),u1_struct_0(k11_group_4(sK0)),k1_group_3(sK0)) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6
| ~ spl31_7
| ~ spl31_8
| ~ spl31_19
| ~ spl31_153
| ~ spl31_1330 ),
inference(forward_subsumption_resolution,[],[f77307,f1758]) ).
fof(f77319,plain,
( ! [X0] :
( ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6
| ~ spl31_7
| ~ spl31_8
| ~ spl31_19
| ~ spl31_153
| ~ spl31_1330 ),
inference(forward_demodulation,[],[f77313,f1121]) ).
fof(f77321,plain,
( ! [X0] :
( sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) )
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6
| ~ spl31_7
| ~ spl31_8
| ~ spl31_19
| ~ spl31_153
| ~ spl31_1330 ),
inference(forward_subsumption_resolution,[],[f77319,f450]) ).
fof(f77324,definition,
( spl31_1331
<=> ! [X0] :
( sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) ) ),
introduced(definition,[new_symbols(definition,[spl31_1331])],[avatar_definition]) ).
fof(f77325,plain,
( ! [X0] :
( sK25(u1_struct_0(sK0),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),k6_relat_1(u1_struct_0(sK0)),X0) = X0
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) )
| ~ spl31_1331 ),
inference(avatar_component_clause,[],[f77324]) ).
fof(f77326,plain,
( spl31_1331
| spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6
| ~ spl31_7
| ~ spl31_8
| ~ spl31_19
| ~ spl31_153
| ~ spl31_1330 ),
inference(avatar_split_clause,[],[f77321,f77145,f6580,f1757,f1296,f1119,f1064,f827,f490,f485,f480,f77324]) ).
fof(f77369,plain,
( ! [X0] :
( r2_hidden(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| ~ r2_hidden(X0,k9_relat_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))))
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) )
| ~ spl31_422
| ~ spl31_1331 ),
inference(superposition,[],[f18501,f77325]) ).
fof(f77404,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| r2_hidden(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) )
| ~ spl31_22
| ~ spl31_422
| ~ spl31_1331 ),
inference(forward_demodulation,[],[f77369,f1979]) ).
fof(f77405,plain,
( ! [X0] :
( ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| r2_hidden(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))) )
| ~ spl31_22
| ~ spl31_422
| ~ spl31_1331 ),
inference(duplicate_literal_removal,[],[f77404]) ).
fof(f77464,definition,
( spl31_1332
<=> ! [X0] :
( ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| r2_hidden(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))) ) ),
introduced(definition,[new_symbols(definition,[spl31_1332])],[avatar_definition]) ).
fof(f77465,plain,
( ! [X0] :
( r2_hidden(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| ~ r2_hidden(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) )
| ~ spl31_1332 ),
inference(avatar_component_clause,[],[f77464]) ).
fof(f77466,plain,
( spl31_1332
| ~ spl31_22
| ~ spl31_422
| ~ spl31_1331 ),
inference(avatar_split_clause,[],[f77405,f77324,f18500,f1977,f77464]) ).
fof(f77500,plain,
( ! [X0] :
( ~ r2_hidden(sK4(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| r1_tarski(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))) )
| ~ spl31_1332 ),
inference(resolution,[],[f77465,f318]) ).
fof(f77537,definition,
( spl31_1333
<=> ! [X0] :
( ~ r2_hidden(sK4(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| r1_tarski(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))) ) ),
introduced(definition,[new_symbols(definition,[spl31_1333])],[avatar_definition]) ).
fof(f77538,plain,
( ! [X0] :
( ~ r2_hidden(sK4(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| r1_tarski(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))) )
| ~ spl31_1333 ),
inference(avatar_component_clause,[],[f77537]) ).
fof(f77539,plain,
( spl31_1333
| ~ spl31_1332 ),
inference(avatar_split_clause,[],[f77500,f77464,f77537]) ).
fof(f77543,plain,
( ! [X0,X1] :
( r1_tarski(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| ~ r2_hidden(sK4(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))),X1)
| ~ r1_tarski(X1,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) )
| ~ spl31_1333 ),
inference(resolution,[],[f77538,f316]) ).
fof(f77947,definition,
( spl31_1340
<=> ! [X0,X1] :
( r1_tarski(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| ~ r2_hidden(sK4(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))),X1)
| ~ r1_tarski(X1,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) ) ),
introduced(definition,[new_symbols(definition,[spl31_1340])],[avatar_definition]) ).
fof(f77948,plain,
( ! [X0,X1] :
( ~ r2_hidden(sK4(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))),X1)
| r1_tarski(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| ~ r1_tarski(X1,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) )
| ~ spl31_1340 ),
inference(avatar_component_clause,[],[f77947]) ).
fof(f77949,plain,
( spl31_1340
| ~ spl31_1333 ),
inference(avatar_split_clause,[],[f77543,f77537,f77947]) ).
fof(f77950,plain,
( ! [X0] :
( r1_tarski(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| ~ r1_tarski(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| r1_tarski(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))) )
| ~ spl31_1340 ),
inference(resolution,[],[f77948,f317]) ).
fof(f77980,plain,
( ! [X0] :
( r1_tarski(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| ~ r1_tarski(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) )
| ~ spl31_1340 ),
inference(duplicate_literal_removal,[],[f77950]) ).
fof(f77996,definition,
( spl31_1341
<=> ! [X0] :
( r1_tarski(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| ~ r1_tarski(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) ) ),
introduced(definition,[new_symbols(definition,[spl31_1341])],[avatar_definition]) ).
fof(f77997,plain,
( ! [X0] :
( r1_tarski(X0,u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))))
| ~ r1_tarski(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) )
| ~ spl31_1341 ),
inference(avatar_component_clause,[],[f77996]) ).
fof(f77998,plain,
( spl31_1341
| ~ spl31_1340 ),
inference(avatar_split_clause,[],[f77980,f77947,f77996]) ).
fof(f78003,plain,
( ! [X0] :
( ~ r1_tarski(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) = X0
| ~ r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),X0) )
| ~ spl31_1341 ),
inference(resolution,[],[f77997,f297]) ).
fof(f78040,definition,
( spl31_1342
<=> ! [X0] :
( ~ r1_tarski(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) = X0
| ~ r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),X0) ) ),
introduced(definition,[new_symbols(definition,[spl31_1342])],[avatar_definition]) ).
fof(f78041,plain,
( ! [X0] :
( ~ r1_tarski(u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))),X0)
| u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) = X0
| ~ r1_tarski(X0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) )
| ~ spl31_1342 ),
inference(avatar_component_clause,[],[f78040]) ).
fof(f78042,plain,
( spl31_1342
| ~ spl31_1341 ),
inference(avatar_split_clause,[],[f78003,f77996,f78040]) ).
fof(f78055,plain,
( sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))) = u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ r1_tarski(sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0))
| ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ spl31_758
| ~ spl31_1342 ),
inference(resolution,[],[f78041,f35245]) ).
fof(f78075,plain,
( sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))) = u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0))
| ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ spl31_758
| ~ spl31_1342 ),
inference(forward_subsumption_resolution,[],[f78055,f451]) ).
fof(f78080,plain,
( sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))) = u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0))
| ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ spl31_758
| ~ spl31_1342 ),
inference(forward_subsumption_resolution,[],[f78075,f450]) ).
fof(f78085,plain,
( sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))) = u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| spl31_6
| ~ spl31_758
| ~ spl31_1342 ),
inference(forward_subsumption_resolution,[],[f78080,f1066]) ).
fof(f78090,plain,
( sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))) = u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| spl31_6
| ~ spl31_758
| ~ spl31_1342 ),
inference(forward_subsumption_resolution,[],[f78085,f376]) ).
fof(f78091,plain,
( sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))) = u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| spl31_6
| ~ spl31_19
| ~ spl31_758
| ~ spl31_1342 ),
inference(forward_subsumption_resolution,[],[f78090,f1758]) ).
fof(f78093,definition,
( spl31_1343
<=> sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))) = u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl31_1343])],[avatar_definition]) ).
fof(f78095,plain,
( sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))) = u1_struct_0(sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ spl31_1343 ),
inference(avatar_component_clause,[],[f78093]) ).
fof(f78096,plain,
( spl31_1343
| spl31_6
| ~ spl31_19
| ~ spl31_758
| ~ spl31_1342 ),
inference(avatar_split_clause,[],[f78091,f78040,f35244,f1757,f1064,f78093]) ).
fof(f78236,plain,
( sK2(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))) = k5_group_4(sK0,sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))))
| ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_subset_1(sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl31_516
| ~ spl31_1343 ),
inference(superposition,[],[f22428,f78095]) ).
fof(f78553,plain,
( ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| ~ m2_relset_1(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_subset_1(sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl31_378
| ~ spl31_516
| ~ spl31_1343 ),
inference(forward_subsumption_resolution,[],[f78236,f16070]) ).
fof(f78631,plain,
( ~ m2_relset_1(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_subset_1(sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl31_378
| ~ spl31_516
| ~ spl31_1343 ),
inference(forward_subsumption_resolution,[],[f78553,f450]) ).
fof(f78678,plain,
( ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| ~ v1_funct_1(k6_relat_1(u1_struct_0(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_subset_1(sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl31_378
| ~ spl31_516
| ~ spl31_1343 ),
inference(forward_subsumption_resolution,[],[f78631,f450]) ).
fof(f78711,plain,
( ~ v1_funct_1(k6_relat_1(k1_group_3(sK0)))
| ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_subset_1(sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl31_378
| ~ spl31_516
| ~ spl31_1343 ),
inference(forward_subsumption_resolution,[],[f78678,f376]) ).
fof(f78741,plain,
( ~ v1_funct_2(k6_relat_1(u1_struct_0(sK0)),u1_struct_0(sK0),u1_struct_0(sK0))
| k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_subset_1(sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl31_378
| ~ spl31_516
| ~ spl31_1343 ),
inference(forward_subsumption_resolution,[],[f78711,f376]) ).
fof(f78765,plain,
( k3_latsubgr(sK0,sK0,k6_relat_1(u1_struct_0(sK0))) = k6_relat_1(k1_group_3(sK0))
| ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_subset_1(sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl31_8
| ~ spl31_378
| ~ spl31_516
| ~ spl31_1343 ),
inference(forward_subsumption_resolution,[],[f78741,f1297]) ).
fof(f78785,plain,
( ~ v1_funct_2(k6_relat_1(k1_group_3(sK0)),k1_group_3(sK0),k1_group_3(sK0))
| ~ m1_subset_1(sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| spl31_6
| ~ spl31_8
| ~ spl31_378
| ~ spl31_516
| ~ spl31_1343 ),
inference(forward_subsumption_resolution,[],[f78765,f1066]) ).
fof(f78805,plain,
( ~ m1_subset_1(sK3(sK0,sK0,k6_relat_1(u1_struct_0(sK0)),k6_relat_1(k1_group_3(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| spl31_6
| ~ spl31_8
| ~ spl31_19
| ~ spl31_378
| ~ spl31_516
| ~ spl31_1343 ),
inference(forward_subsumption_resolution,[],[f78785,f1758]) ).
fof(f78825,plain,
( $false
| spl31_6
| ~ spl31_8
| ~ spl31_19
| ~ spl31_71
| ~ spl31_378
| ~ spl31_516
| ~ spl31_1343 ),
inference(forward_subsumption_resolution,[],[f78805,f3751]) ).
fof(f78826,plain,
( spl31_6
| ~ spl31_8
| ~ spl31_19
| ~ spl31_71
| ~ spl31_378
| ~ spl31_516
| ~ spl31_1343 ),
inference(avatar_contradiction_clause,[],[f78825]) ).
cnf(s1,plain,
~ spl31_1,
inference(sat_conversion,[],[f483]) ).
cnf(s2,plain,
spl31_2,
inference(sat_conversion,[],[f488]) ).
cnf(s3,plain,
spl31_3,
inference(sat_conversion,[],[f493]) ).
cnf(s4,plain,
spl31_4,
inference(sat_conversion,[],[f830]) ).
cnf(s5,plain,
~ spl31_5,
inference(sat_conversion,[],[f1061]) ).
cnf(s6,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_5
| ~ spl31_6 ),
inference(sat_conversion,[],[f1067]) ).
cnf(s7,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_7 ),
inference(sat_conversion,[],[f1122]) ).
cnf(s9,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6
| ~ spl31_8
| spl31_10 ),
inference(sat_conversion,[],[f1311]) ).
cnf(s10,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6
| ~ spl31_8
| spl31_11 ),
inference(sat_conversion,[],[f1315]) ).
cnf(s11,plain,
( spl31_8
| ~ spl31_12 ),
inference(sat_conversion,[],[f1320]) ).
cnf(s12,plain,
spl31_12,
inference(sat_conversion,[],[f1323]) ).
cnf(s13,plain,
( ~ spl31_8
| ~ spl31_12
| spl31_13 ),
inference(sat_conversion,[],[f1485]) ).
cnf(s17,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_8
| ~ spl31_12
| spl31_17 ),
inference(sat_conversion,[],[f1615]) ).
cnf(s19,plain,
( ~ spl31_11
| ~ spl31_19
| spl31_20 ),
inference(sat_conversion,[],[f1764]) ).
cnf(s20,plain,
( spl31_19
| ~ spl31_21 ),
inference(sat_conversion,[],[f1789]) ).
cnf(s21,plain,
spl31_21,
inference(sat_conversion,[],[f1798]) ).
cnf(s22,plain,
( ~ spl31_10
| ~ spl31_13
| ~ spl31_19
| spl31_22 ),
inference(sat_conversion,[],[f1980]) ).
cnf(s26,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_20
| spl31_26 ),
inference(sat_conversion,[],[f2089]) ).
cnf(s27,plain,
( ~ spl31_2
| spl31_27 ),
inference(sat_conversion,[],[f2094]) ).
cnf(s33,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_8
| spl31_34 ),
inference(sat_conversion,[],[f2263]) ).
cnf(s42,plain,
( ~ spl31_8
| ~ spl31_12
| spl31_42 ),
inference(sat_conversion,[],[f2704]) ).
cnf(s64,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_64 ),
inference(sat_conversion,[],[f3531]) ).
cnf(s66,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_66 ),
inference(sat_conversion,[],[f3591]) ).
cnf(s71,plain,
( ~ spl31_22
| ~ spl31_42
| spl31_71 ),
inference(sat_conversion,[],[f3752]) ).
cnf(s101,plain,
( spl31_1
| ~ spl31_27
| ~ spl31_99 ),
inference(sat_conversion,[],[f5180]) ).
cnf(s104,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| spl31_103 ),
inference(sat_conversion,[],[f5378]) ).
cnf(s140,plain,
( ~ spl31_8
| spl31_99
| spl31_142 ),
inference(sat_conversion,[],[f6313]) ).
cnf(s143,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_64
| spl31_145 ),
inference(sat_conversion,[],[f6366]) ).
cnf(s150,plain,
( ~ spl31_66
| spl31_153 ),
inference(sat_conversion,[],[f6582]) ).
cnf(s165,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103
| spl31_168 ),
inference(sat_conversion,[],[f7068]) ).
cnf(s208,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_34
| spl31_215 ),
inference(sat_conversion,[],[f9154]) ).
cnf(s220,plain,
( ~ spl31_26
| spl31_227 ),
inference(sat_conversion,[],[f9698]) ).
cnf(s332,plain,
( ~ spl31_17
| spl31_338 ),
inference(sat_conversion,[],[f14599]) ).
cnf(s333,plain,
( ~ spl31_215
| ~ spl31_338
| spl31_339 ),
inference(sat_conversion,[],[f14634]) ).
cnf(s368,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103
| ~ spl31_145
| spl31_376 ),
inference(sat_conversion,[],[f15980]) ).
cnf(s369,plain,
( ~ spl31_376
| spl31_377 ),
inference(sat_conversion,[],[f16017]) ).
cnf(s370,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_19
| ~ spl31_377
| spl31_378 ),
inference(sat_conversion,[],[f16071]) ).
cnf(s414,plain,
( ~ spl31_8
| ~ spl31_13
| spl31_422 ),
inference(sat_conversion,[],[f18502]) ).
cnf(s430,plain,
( ~ spl31_339
| spl31_438 ),
inference(sat_conversion,[],[f19078]) ).
cnf(s467,plain,
( ~ spl31_438
| spl31_475 ),
inference(sat_conversion,[],[f20244]) ).
cnf(s507,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_7
| ~ spl31_103
| ~ spl31_145
| spl31_515 ),
inference(sat_conversion,[],[f22395]) ).
cnf(s508,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| ~ spl31_145
| ~ spl31_168
| ~ spl31_515
| spl31_516 ),
inference(sat_conversion,[],[f22429]) ).
cnf(s714,plain,
( ~ spl31_215
| spl31_729 ),
inference(sat_conversion,[],[f33854]) ).
cnf(s742,plain,
( ~ spl31_142
| spl31_757 ),
inference(sat_conversion,[],[f35238]) ).
cnf(s743,plain,
( ~ spl31_475
| ~ spl31_729
| ~ spl31_757
| spl31_758 ),
inference(sat_conversion,[],[f35246]) ).
cnf(s1212,plain,
( ~ spl31_22
| ~ spl31_227
| ~ spl31_422
| spl31_1234 ),
inference(sat_conversion,[],[f71913]) ).
cnf(s1298,plain,
( ~ spl31_1234
| spl31_1330 ),
inference(sat_conversion,[],[f77147]) ).
cnf(s1299,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6
| ~ spl31_7
| ~ spl31_8
| ~ spl31_19
| ~ spl31_153
| ~ spl31_1330
| spl31_1331 ),
inference(sat_conversion,[],[f77326]) ).
cnf(s1300,plain,
( ~ spl31_22
| ~ spl31_422
| ~ spl31_1331
| spl31_1332 ),
inference(sat_conversion,[],[f77466]) ).
cnf(s1301,plain,
( ~ spl31_1332
| spl31_1333 ),
inference(sat_conversion,[],[f77539]) ).
cnf(s1309,plain,
( ~ spl31_1333
| spl31_1340 ),
inference(sat_conversion,[],[f77949]) ).
cnf(s1310,plain,
( ~ spl31_1340
| spl31_1341 ),
inference(sat_conversion,[],[f77998]) ).
cnf(s1311,plain,
( ~ spl31_1341
| spl31_1342 ),
inference(sat_conversion,[],[f78042]) ).
cnf(s1312,plain,
( spl31_6
| ~ spl31_19
| ~ spl31_758
| ~ spl31_1342
| spl31_1343 ),
inference(sat_conversion,[],[f78096]) ).
cnf(s1315,plain,
( spl31_6
| ~ spl31_8
| ~ spl31_19
| ~ spl31_71
| ~ spl31_378
| ~ spl31_516
| ~ spl31_1343 ),
inference(sat_conversion,[],[f78826]) ).
cnf(s1322,plain,
spl31_19,
inference(rat,[],[s20,s21]) ).
cnf(s1335,plain,
( ~ spl31_11
| spl31_20 ),
inference(rat,[],[s19,s1322]) ).
cnf(s1338,plain,
spl31_8,
inference(rat,[],[s11,s12]) ).
cnf(s1344,plain,
spl31_42,
inference(rat,[],[s42,s12,s1338]) ).
cnf(s1346,plain,
spl31_13,
inference(rat,[],[s13,s12,s1338]) ).
cnf(s1349,plain,
spl31_422,
inference(rat,[],[s414,s1338,s1346]) ).
cnf(s1351,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6
| spl31_11 ),
inference(rat,[],[s10,s1338]) ).
cnf(s1352,plain,
( spl31_1
| ~ spl31_2
| ~ spl31_3
| ~ spl31_4
| spl31_6
| spl31_10 ),
inference(rat,[],[s9,s1338]) ).
cnf(s1359,plain,
spl31_27,
inference(rat,[],[s27,s2]) ).
cnf(s1418,plain,
spl31_103,
inference(rat,[],[s104,s2,s3,s1]) ).
cnf(s1420,plain,
~ spl31_99,
inference(rat,[],[s101,s1359,s1]) ).
cnf(s1432,plain,
spl31_66,
inference(rat,[],[s66,s2,s3,s1]) ).
cnf(s1434,plain,
spl31_64,
inference(rat,[],[s64,s2,s3,s1]) ).
cnf(s1445,plain,
spl31_7,
inference(rat,[],[s7,s2,s3,s1]) ).
cnf(s1446,plain,
~ spl31_6,
inference(rat,[],[s6,s2,s5,s3,s1]) ).
cnf(s1472,plain,
spl31_142,
inference(rat,[],[s140,s1338,s1420]) ).
cnf(s1517,plain,
spl31_153,
inference(rat,[],[s150,s1432]) ).
cnf(s1578,plain,
spl31_168,
inference(rat,[],[s165,s1418,s1,s2,s4,s3,s1445]) ).
cnf(s1579,plain,
spl31_145,
inference(rat,[],[s143,s1434,s1,s2,s4,s3,s1445]) ).
cnf(s1584,plain,
spl31_34,
inference(rat,[],[s33,s1,s1338,s2,s4,s3,s1445]) ).
cnf(s1587,plain,
spl31_17,
inference(rat,[],[s17,s1,s12,s1338,s2,s4,s3,s1445]) ).
cnf(s1591,plain,
spl31_11,
inference(rat,[],[s1351,s1,s2,s4,s3,s1446]) ).
cnf(s1592,plain,
spl31_10,
inference(rat,[],[s1352,s1,s2,s4,s3,s1446]) ).
cnf(s1615,plain,
spl31_757,
inference(rat,[],[s742,s1472]) ).
cnf(s1760,plain,
spl31_515,
inference(rat,[],[s507,s1445,s1418,s1,s2,s4,s3,s1579]) ).
cnf(s1762,plain,
spl31_376,
inference(rat,[],[s368,s1445,s1418,s1,s2,s4,s3,s1579]) ).
cnf(s1777,plain,
spl31_215,
inference(rat,[],[s208,s1,s2,s3,s1584]) ).
cnf(s1800,plain,
spl31_338,
inference(rat,[],[s332,s1587]) ).
cnf(s1804,plain,
spl31_20,
inference(rat,[],[s1335,s1591]) ).
cnf(s1805,plain,
spl31_22,
inference(rat,[],[s22,s1346,s1322,s1592]) ).
cnf(s1922,plain,
spl31_516,
inference(rat,[],[s508,s1579,s1578,s1,s2,s4,s3,s1760]) ).
cnf(s1923,plain,
spl31_377,
inference(rat,[],[s369,s1762]) ).
cnf(s1941,plain,
spl31_729,
inference(rat,[],[s714,s1777]) ).
cnf(s1961,plain,
spl31_339,
inference(rat,[],[s333,s1777,s1800]) ).
cnf(s1982,plain,
spl31_26,
inference(rat,[],[s26,s1,s2,s3,s1804]) ).
cnf(s1986,plain,
spl31_71,
inference(rat,[],[s71,s1344,s1805]) ).
cnf(s2071,plain,
spl31_378,
inference(rat,[],[s370,s1445,s1,s1322,s2,s4,s3,s1923]) ).
cnf(s2084,plain,
spl31_438,
inference(rat,[],[s430,s1961]) ).
cnf(s2105,plain,
spl31_227,
inference(rat,[],[s220,s1982]) ).
cnf(s2179,plain,
~ spl31_1343,
inference(rat,[],[s1315,s1986,s1922,s1446,s1338,s1322,s2071]) ).
cnf(s2192,plain,
spl31_475,
inference(rat,[],[s467,s2084]) ).
cnf(s2211,plain,
spl31_1234,
inference(rat,[],[s1212,s1805,s1349,s2105]) ).
cnf(s2244,plain,
spl31_758,
inference(rat,[],[s743,s1941,s1615,s2192]) ).
cnf(s2255,plain,
spl31_1330,
inference(rat,[],[s1298,s2211]) ).
cnf(s2271,plain,
~ spl31_1342,
inference(rat,[],[s1312,s2179,s1446,s1322,s2244]) ).
cnf(s2275,plain,
spl31_1331,
inference(rat,[],[s1299,s1446,s1445,s1517,s1322,s1338,s1,s2,s4,s3,s2255]) ).
cnf(s2287,plain,
~ spl31_1341,
inference(rat,[],[s1311,s2271]) ).
cnf(s2290,plain,
spl31_1332,
inference(rat,[],[s1300,s1805,s1349,s2275]) ).
cnf(s2297,plain,
~ spl31_1340,
inference(rat,[],[s1310,s2287]) ).
cnf(s2298,plain,
spl31_1333,
inference(rat,[],[s1301,s2290]) ).
cnf(s2300,plain,
$false,
inference(rat,[],[s1309,s2297,s2298]) ).
fof(f78874,plain,
$false,
inference(avatar_sat_refutation,[],[s2300]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP650+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 10:27:47 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 10.75/2.35 % (3791863)Detected formulas, will run a generic FOF schedule.
% 10.75/2.35 % (3791871)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2896481803:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.75/2.35 % (3791871)Refutation not found, incomplete strategy
% 10.75/2.35 % (3791871)------------------------------
% 10.75/2.35 % (3791871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.35 % (3791871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.35 % (3791871)CaDiCaL version: 2.1.3
% 10.75/2.35 % (3791871)Termination reason: Refutation not found, incomplete strategy
% 10.75/2.35 % (3791871)Time elapsed: 0.001 s
% 10.75/2.35 % (3791871)Peak memory usage: 88 MB
% 10.75/2.35 % (3791873)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1455998293:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.75/2.35 % (3791872)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=842169767:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.75/2.35 % (3791870)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=408207377:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.75/2.35 % (3791869)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=821344703:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.75/2.35 % (3791874)dis-21_1_sil=8000:lcm=predicate:random_seed=1189140329:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.75/2.35 % (3791868)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=1775200333:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.75/2.35 % (3791872)Instruction limit reached!
% 10.75/2.35 % (3791872)------------------------------
% 10.75/2.35 % (3791872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.35 % (3791872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.35 % (3791872)CaDiCaL version: 2.1.3
% 10.75/2.35 % (3791872)Termination reason: Instruction limit
% 10.75/2.35 % (3791872)Termination phase: Saturation
% 10.75/2.35 % (3791872)Time elapsed: 0.071 s
% 10.75/2.35 % (3791872)Peak memory usage: 89 MB
% 10.75/2.35 % (3791872)Instructions burned: 119 (million)
% 10.75/2.35 % (3791874)Instruction limit reached!
% 10.75/2.35 % (3791874)------------------------------
% 10.75/2.35 % (3791874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.35 % (3791874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.35 % (3791874)CaDiCaL version: 2.1.3
% 10.75/2.35 % (3791874)Termination reason: Instruction limit
% 10.75/2.35 % (3791874)Termination phase: Saturation
% 10.75/2.35 % (3791874)Time elapsed: 0.077 s
% 10.75/2.35 % (3791874)Peak memory usage: 91 MB
% 10.75/2.35 % (3791874)Instructions burned: 129 (million)
% 10.75/2.35 % (3791873)Instruction limit reached!
% 10.75/2.35 % (3791873)------------------------------
% 10.75/2.35 % (3791873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.75/2.35 % (3791873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.75/2.35 % (3791873)CaDiCaL version: 2.1.3
% 10.75/2.35 % (3791873)Termination reason: Instruction limit
% 10.75/2.35 % (3791873)Termination phase: Saturation
% 10.75/2.35 % (3791873)Time elapsed: 0.105 s
% 10.75/2.35 % (3791873)Peak memory usage: 90 MB
% 10.75/2.35 % (3791873)Instructions burned: 139 (million)
% 10.75/2.35 % (3791871)------------------------------
% 10.75/2.35 % (3791871)------------------------------
% 10.75/2.35 % (3791885)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=3265798340:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.75/2.35 % (3791882)lrs+10_1_sil=8000:sp=occurrence:random_seed=2403773479:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.75/2.35 % (3791883)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3687886134:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.75/2.35 % (3791883)Refutation not found, incomplete strategy
% 10.75/2.35 % (3791883)------------------------------
% 10.75/2.35 % (3791883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.31 % (3791883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.31 % (3791883)CaDiCaL version: 2.1.3
% 17.50/3.31 % (3791883)Termination reason: Refutation not found, incomplete strategy
% 17.50/3.31 % (3791883)Time elapsed: 0.002 s
% 17.50/3.31 % (3791883)Peak memory usage: 89 MB
% 17.50/3.31 % (3791883)Instructions burned: 2 (million)
% 17.50/3.31 % (3791884)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3456971316:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 17.50/3.31 % (3791885)Instruction limit reached!
% 17.50/3.31 % (3791885)------------------------------
% 17.50/3.31 % (3791885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.31 % (3791885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.31 % (3791885)CaDiCaL version: 2.1.3
% 17.50/3.31 % (3791885)Termination reason: Instruction limit
% 17.50/3.31 % (3791885)Termination phase: Saturation
% 17.50/3.31 % (3791885)Time elapsed: 0.076 s
% 17.50/3.31 % (3791885)Peak memory usage: 91 MB
% 17.50/3.31 % (3791885)Instructions burned: 249 (million)
% 17.50/3.31 % (3791890)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=536204349:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 17.50/3.31 % (3791890)Refutation not found, incomplete strategy
% 17.50/3.31 % (3791890)------------------------------
% 17.50/3.31 % (3791890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.31 % (3791890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.31 % (3791890)CaDiCaL version: 2.1.3
% 17.50/3.31 % (3791890)Termination reason: Refutation not found, incomplete strategy
% 17.50/3.31 % (3791890)Time elapsed: 0.003 s
% 17.50/3.31 % (3791890)Peak memory usage: 88 MB
% 17.50/3.31 % (3791890)Instructions burned: 7 (million)
% 17.50/3.31 % (3791882)Instruction limit reached!
% 17.50/3.31 % (3791882)------------------------------
% 17.50/3.31 % (3791882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.31 % (3791882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.31 % (3791882)CaDiCaL version: 2.1.3
% 17.50/3.31 % (3791882)Termination reason: Instruction limit
% 17.50/3.31 % (3791882)Termination phase: Saturation
% 17.50/3.31 % (3791882)Time elapsed: 0.171 s
% 17.50/3.31 % (3791882)Peak memory usage: 92 MB
% 17.50/3.31 % (3791882)Instructions burned: 286 (million)
% 17.50/3.31 % (3791884)Instruction limit reached!
% 17.50/3.31 % (3791884)------------------------------
% 17.50/3.31 % (3791884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.31 % (3791884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.31 % (3791884)CaDiCaL version: 2.1.3
% 17.50/3.31 % (3791884)Termination reason: Instruction limit
% 17.50/3.31 % (3791884)Termination phase: Saturation
% 17.50/3.31 % (3791884)Time elapsed: 0.205 s
% 17.50/3.31 % (3791884)Peak memory usage: 91 MB
% 17.50/3.31 % (3791884)Instructions burned: 325 (million)
% 17.50/3.31 % (3791883)------------------------------
% 17.50/3.31 % (3791883)------------------------------
% 17.50/3.31 % (3791892)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1791460890:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 17.50/3.31 % (3791890)------------------------------
% 17.50/3.31 % (3791890)------------------------------
% 17.50/3.31 % (3791893)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3076213122:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 17.50/3.31 % (3791894)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=889236394:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 17.50/3.31 % (3791896)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=134484557:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 17.50/3.31 % (3791893)Instruction limit reached!
% 17.50/3.31 % (3791893)------------------------------
% 17.50/3.31 % (3791893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.50/3.31 % (3791893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.50/3.31 % (3791893)CaDiCaL version: 2.1.3
% 17.50/3.31 % (3791893)Termination reason: Instruction limit
% 17.50/3.31 % (3791893)Termination phase: Saturation
% 17.50/3.31 % (3791893)Time elapsed: 0.067 s
% 17.50/3.31 % (3791893)Peak memory usage: 90 MB
% 17.50/3.31 % (3791893)Instructions burned: 114 (million)
% 17.50/3.31 % (3791896)Instruction limit reached!
% 33.29/5.52 % (3791896)------------------------------
% 33.29/5.52 % (3791896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.29/5.52 % (3791896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.29/5.52 % (3791896)CaDiCaL version: 2.1.3
% 33.29/5.52 % (3791896)Termination reason: Instruction limit
% 33.29/5.52 % (3791896)Termination phase: Saturation
% 33.29/5.52 % (3791896)Time elapsed: 0.037 s
% 33.29/5.52 % (3791896)Peak memory usage: 89 MB
% 33.29/5.52 % (3791896)Instructions burned: 117 (million)
% 33.29/5.52 % (3791894)Instruction limit reached!
% 33.29/5.52 % (3791894)------------------------------
% 33.29/5.52 % (3791894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.29/5.52 % (3791894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.29/5.52 % (3791894)CaDiCaL version: 2.1.3
% 33.29/5.52 % (3791894)Termination reason: Instruction limit
% 33.29/5.52 % (3791894)Termination phase: Saturation
% 33.29/5.52 % (3791894)Time elapsed: 0.068 s
% 33.29/5.52 % (3791894)Peak memory usage: 89 MB
% 33.29/5.52 % (3791894)Instructions burned: 127 (million)
% 33.29/5.52 % (3791901)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2119973438:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 33.29/5.52 % (3791901)Refutation not found, incomplete strategy
% 33.29/5.52 % (3791901)------------------------------
% 33.29/5.52 % (3791901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.29/5.52 % (3791901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.29/5.52 % (3791901)CaDiCaL version: 2.1.3
% 33.29/5.52 % (3791901)Termination reason: Refutation not found, incomplete strategy
% 33.29/5.52 % (3791901)Time elapsed: 0.003 s
% 33.29/5.52 % (3791901)Peak memory usage: 89 MB
% 33.29/5.52 % (3791901)Instructions burned: 10 (million)
% 33.29/5.52 % (3791900)lrs+10_1_sil=8000:sp=occurrence:random_seed=2490601969:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 33.29/5.52 % (3791902)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3086806709:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 33.29/5.52 % (3791901)------------------------------
% 33.29/5.52 % (3791901)------------------------------
% 33.29/5.52 % (3791906)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2686262221:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 33.29/5.52 % (3791906)Instruction limit reached!
% 33.29/5.52 % (3791906)------------------------------
% 33.29/5.52 % (3791906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.29/5.52 % (3791906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.29/5.52 % (3791906)CaDiCaL version: 2.1.3
% 33.29/5.52 % (3791906)Termination reason: Instruction limit
% 33.29/5.52 % (3791906)Termination phase: Saturation
% 33.29/5.52 % (3791906)Time elapsed: 0.044 s
% 33.29/5.52 % (3791906)Peak memory usage: 91 MB
% 33.29/5.52 % (3791906)Instructions burned: 137 (million)
% 33.29/5.52 % (3791908)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1611603365:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 33.29/5.52 % (3791908)Instruction limit reached!
% 33.29/5.52 % (3791908)------------------------------
% 33.29/5.52 % (3791908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.29/5.52 % (3791908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.29/5.52 % (3791908)CaDiCaL version: 2.1.3
% 33.29/5.52 % (3791908)Termination reason: Instruction limit
% 33.29/5.52 % (3791908)Termination phase: Saturation
% 33.29/5.52 % (3791908)Time elapsed: 0.174 s
% 33.29/5.52 % (3791908)Peak memory usage: 94 MB
% 33.29/5.52 % (3791908)Instructions burned: 596 (million)
% 33.29/5.52 % (3791900)Instruction limit reached!
% 33.29/5.52 % (3791900)------------------------------
% 33.29/5.52 % (3791900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.29/5.52 % (3791900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.29/5.52 % (3791900)CaDiCaL version: 2.1.3
% 33.29/5.52 % (3791900)Termination reason: Instruction limit
% 33.29/5.52 % (3791900)Termination phase: Saturation
% 33.29/5.52 % (3791900)Time elapsed: 0.548 s
% 33.29/5.52 % (3791900)Peak memory usage: 100 MB
% 33.29/5.52 % (3791900)Instructions burned: 907 (million)
% 33.29/5.52 % (3791910)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1614517234:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 68.74/10.50 % (3791911)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=1112225185:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 68.74/10.50 % (3791911)Instruction limit reached!
% 68.74/10.50 % (3791911)------------------------------
% 68.74/10.50 % (3791911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.74/10.50 % (3791911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.74/10.50 % (3791911)CaDiCaL version: 2.1.3
% 68.74/10.50 % (3791911)Termination reason: Instruction limit
% 68.74/10.50 % (3791911)Termination phase: Saturation
% 68.74/10.50 % (3791911)Time elapsed: 0.076 s
% 68.74/10.50 % (3791911)Peak memory usage: 91 MB
% 68.74/10.50 % (3791911)Instructions burned: 126 (million)
% 68.74/10.50 % (3791914)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4029433980:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 68.74/10.50 % (3791914)Instruction limit reached!
% 68.74/10.50 % (3791914)------------------------------
% 68.74/10.50 % (3791914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.74/10.50 % (3791914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.74/10.50 % (3791914)CaDiCaL version: 2.1.3
% 68.74/10.50 % (3791914)Termination reason: Instruction limit
% 68.74/10.50 % (3791914)Termination phase: Saturation
% 68.74/10.50 % (3791914)Time elapsed: 0.079 s
% 68.74/10.50 % (3791914)Peak memory usage: 90 MB
% 68.74/10.50 % (3791914)Instructions burned: 134 (million)
% 68.74/10.50 % (3791916)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=610781761:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 68.74/10.50 % (3791916)Refutation not found, incomplete strategy
% 68.74/10.50 % (3791916)------------------------------
% 68.74/10.50 % (3791916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.74/10.50 % (3791916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.74/10.50 % (3791916)CaDiCaL version: 2.1.3
% 68.74/10.50 % (3791916)Termination reason: Refutation not found, incomplete strategy
% 68.74/10.50 % (3791916)Time elapsed: 0.001 s
% 68.74/10.50 % (3791916)Peak memory usage: 88 MB
% 68.74/10.50 % (3791916)Instructions burned: 1 (million)
% 68.74/10.50 % (3791916)------------------------------
% 68.74/10.50 % (3791916)------------------------------
% 68.74/10.50 % (3791892)Instruction limit reached!
% 68.74/10.50 % (3791892)------------------------------
% 68.74/10.50 % (3791892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.74/10.50 % (3791892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.74/10.50 % (3791892)CaDiCaL version: 2.1.3
% 68.74/10.50 % (3791892)Termination reason: Instruction limit
% 68.74/10.50 % (3791892)Termination phase: Saturation
% 68.74/10.50 % (3791892)Time elapsed: 1.568 s
% 68.74/10.50 % (3791892)Peak memory usage: 141 MB
% 68.74/10.50 % (3791892)Instructions burned: 2350 (million)
% 68.74/10.50 % (3791918)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2879909494:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 68.74/10.50 % (3791918)Instruction limit reached!
% 68.74/10.50 % (3791918)------------------------------
% 68.74/10.50 % (3791918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.74/10.50 % (3791918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.74/10.50 % (3791918)CaDiCaL version: 2.1.3
% 68.74/10.50 % (3791918)Termination reason: Instruction limit
% 68.74/10.50 % (3791918)Termination phase: Saturation
% 68.74/10.50 % (3791918)Time elapsed: 0.109 s
% 68.74/10.50 % (3791918)Peak memory usage: 90 MB
% 68.74/10.50 % (3791918)Instructions burned: 435 (million)
% 68.74/10.50 % (3791919)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=933214895:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 68.74/10.50 % (3791922)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=3407342851:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2976 on theBenchmark for (2976ds/150Mi)
% 68.74/10.50 % (3791922)Instruction limit reached!
% 68.74/10.50 % (3791922)------------------------------
% 68.74/10.50 % (3791922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.99/13.91 % (3791922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.99/13.91 % (3791922)CaDiCaL version: 2.1.3
% 92.99/13.91 % (3791922)Termination reason: Instruction limit
% 92.99/13.91 % (3791922)Termination phase: Saturation
% 92.99/13.91 % (3791922)Time elapsed: 0.048 s
% 92.99/13.91 % (3791922)Peak memory usage: 90 MB
% 92.99/13.91 % (3791922)Instructions burned: 150 (million)
% 92.99/13.91 % (3791924)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4238787899:i=14155:bd=all_2975 on theBenchmark for (2975ds/14155Mi)
% 92.99/13.91 % (3791902)Instruction limit reached!
% 92.99/13.91 % (3791902)------------------------------
% 92.99/13.91 % (3791902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.99/13.91 % (3791902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.99/13.91 % (3791902)CaDiCaL version: 2.1.3
% 92.99/13.91 % (3791902)Termination reason: Instruction limit
% 92.99/13.91 % (3791902)Termination phase: Saturation
% 92.99/13.91 % (3791902)Time elapsed: 2.974 s
% 92.99/13.91 % (3791902)Peak memory usage: 163 MB
% 92.99/13.91 % (3791902)Instructions burned: 5203 (million)
% 92.99/13.91 % (3791926)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1197969954:i=667:av=off:fsr=off_2961 on theBenchmark for (2961ds/667Mi)
% 92.99/13.91 % (3791926)Instruction limit reached!
% 92.99/13.91 % (3791926)------------------------------
% 92.99/13.91 % (3791926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.99/13.91 % (3791926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.99/13.91 % (3791926)CaDiCaL version: 2.1.3
% 92.99/13.91 % (3791926)Termination reason: Instruction limit
% 92.99/13.91 % (3791926)Termination phase: Saturation
% 92.99/13.91 % (3791926)Time elapsed: 0.271 s
% 92.99/13.91 % (3791926)Peak memory usage: 90 MB
% 92.99/13.91 % (3791926)Instructions burned: 668 (million)
% 92.99/13.91 % (3791928)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=3795625950:s2a=on:i=185:s2at=1.8:fdi=4_2956 on theBenchmark for (2956ds/185Mi)
% 92.99/13.91 % (3791919)Instruction limit reached!
% 92.99/13.91 % (3791919)------------------------------
% 92.99/13.91 % (3791919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.99/13.91 % (3791919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.99/13.91 % (3791919)CaDiCaL version: 2.1.3
% 92.99/13.91 % (3791919)Termination reason: Instruction limit
% 92.99/13.91 % (3791919)Termination phase: Saturation
% 92.99/13.91 % (3791919)Time elapsed: 2.094 s
% 92.99/13.91 % (3791919)Peak memory usage: 154 MB
% 92.99/13.91 % (3791919)Instructions burned: 6064 (million)
% 92.99/13.91 % (3791930)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1311701872:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2955 on theBenchmark for (2955ds/193Mi)
% 92.99/13.91 % (3791928)Instruction limit reached!
% 92.99/13.91 % (3791928)------------------------------
% 92.99/13.91 % (3791928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.99/13.91 % (3791928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.99/13.91 % (3791928)CaDiCaL version: 2.1.3
% 92.99/13.91 % (3791928)Termination reason: Instruction limit
% 92.99/13.91 % (3791928)Termination phase: Saturation
% 92.99/13.91 % (3791928)Time elapsed: 0.117 s
% 92.99/13.91 % (3791928)Peak memory usage: 91 MB
% 92.99/13.91 % (3791928)Instructions burned: 185 (million)
% 92.99/13.91 % (3791930)Instruction limit reached!
% 92.99/13.91 % (3791930)------------------------------
% 92.99/13.91 % (3791930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 92.99/13.91 % (3791930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 92.99/13.91 % (3791930)CaDiCaL version: 2.1.3
% 92.99/13.91 % (3791930)Termination reason: Instruction limit
% 92.99/13.91 % (3791930)Termination phase: Saturation
% 92.99/13.91 % (3791930)Time elapsed: 0.058 s
% 92.99/13.91 % (3791930)Peak memory usage: 92 MB
% 92.99/13.91 % (3791930)Instructions burned: 195 (million)
% 92.99/13.91 % (3791932)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3084314869:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2954 on theBenchmark for (2954ds/4850Mi)
% 92.99/13.91 % (3791933)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1006978535:i=12111:sd=1:ss=included_2954 on theBenchmark for (2954ds/12111Mi)
% 62.85/15.32 % (3791932)Instruction limit reached!
% 62.85/15.32 % (3791932)------------------------------
% 62.85/15.32 % (3791932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.85/15.32 % (3791932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.85/15.32 % (3791932)CaDiCaL version: 2.1.3
% 62.85/15.32 % (3791932)Termination reason: Instruction limit
% 62.85/15.32 % (3791932)Termination phase: Saturation
% 62.85/15.32 % (3791932)Time elapsed: 2.572 s
% 62.85/15.32 % (3791932)Peak memory usage: 125 MB
% 62.85/15.32 % (3791932)Instructions burned: 4850 (million)
% 62.85/15.32 % (3791936)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1820184641:i=319:kws=precedence:fsr=off_2927 on theBenchmark for (2927ds/319Mi)
% 62.85/15.32 % (3791936)Instruction limit reached!
% 62.85/15.32 % (3791936)------------------------------
% 62.85/15.32 % (3791936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.85/15.32 % (3791936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.85/15.32 % (3791936)CaDiCaL version: 2.1.3
% 62.85/15.32 % (3791936)Termination reason: Instruction limit
% 62.85/15.32 % (3791936)Termination phase: Saturation
% 62.85/15.32 % (3791936)Time elapsed: 0.210 s
% 62.85/15.32 % (3791936)Peak memory usage: 93 MB
% 62.85/15.32 % (3791936)Instructions burned: 319 (million)
% 62.85/15.32 % (3791938)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=3948251107:i=2064:ep=RST_2923 on theBenchmark for (2923ds/2064Mi)
% 62.85/15.32 % (3791938)Instruction limit reached!
% 62.85/15.32 % (3791938)------------------------------
% 62.85/15.32 % (3791938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.85/15.32 % (3791938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.85/15.32 % (3791938)CaDiCaL version: 2.1.3
% 62.85/15.32 % (3791938)Termination reason: Instruction limit
% 62.85/15.32 % (3791938)Termination phase: Saturation
% 62.85/15.32 % (3791938)Time elapsed: 1.100 s
% 62.85/15.32 % (3791938)Peak memory usage: 100 MB
% 62.85/15.32 % (3791938)Instructions burned: 2065 (million)
% 62.85/15.32 % (3791940)dis-1011_128_sil=32000:random_seed=36893080:i=3706:ep=RST:av=off_2911 on theBenchmark for (2911ds/3706Mi)
% 62.85/15.32 % (3791933)Instruction limit reached!
% 62.85/15.32 % (3791933)------------------------------
% 62.85/15.32 % (3791933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.85/15.32 % (3791933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.85/15.32 % (3791933)CaDiCaL version: 2.1.3
% 62.85/15.32 % (3791933)Termination reason: Instruction limit
% 62.85/15.32 % (3791933)Termination phase: Saturation
% 62.85/15.32 % (3791933)Time elapsed: 4.642 s
% 62.85/15.32 % (3791933)Peak memory usage: 206 MB
% 62.85/15.32 % (3791933)Instructions burned: 12112 (million)
% 62.85/15.32 % (3791942)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1767143043:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2906 on theBenchmark for (2906ds/757Mi)
% 62.85/15.32 % (3791942)Refutation not found, incomplete strategy
% 62.85/15.32 % (3791942)------------------------------
% 62.85/15.32 % (3791942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.85/15.32 % (3791942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.85/15.32 % (3791942)CaDiCaL version: 2.1.3
% 62.85/15.32 % (3791942)Termination reason: Refutation not found, incomplete strategy
% 62.85/15.32 % (3791942)Time elapsed: 0.003 s
% 62.85/15.32 % (3791942)Peak memory usage: 89 MB
% 62.85/15.32 % (3791942)Instructions burned: 8 (million)
% 62.85/15.32 % (3791910)Instruction limit reached!
% 62.85/15.32 % (3791910)------------------------------
% 62.85/15.32 % (3791910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.85/15.32 % (3791910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.85/15.32 % (3791910)CaDiCaL version: 2.1.3
% 62.85/15.32 % (3791910)Termination reason: Instruction limit
% 62.85/15.32 % (3791910)Termination phase: Saturation
% 62.85/15.32 % (3791910)Time elapsed: 7.973 s
% 62.85/15.32 % (3791910)Peak memory usage: 220 MB
% 62.85/15.32 % (3791910)Instructions burned: 13194 (million)
% 62.85/15.32 % (3791942)------------------------------
% 62.85/15.32 % (3791942)------------------------------
% 62.85/15.32 % (3791944)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=31152015:i=13913:ss=axioms:sgt=8_2904 on theBenchmark for (2904ds/13913Mi)
% 62.85/15.32 % (3791945)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3818751758:i=9925:aac=none_2904 on theBenchmark for (2904ds/9925Mi)
% 62.85/15.32 % (3791924)Instruction limit reached!
% 62.85/15.32 % (3791924)------------------------------
% 62.85/15.32 % (3791924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.85/15.32 % (3791924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.85/15.32 % (3791924)CaDiCaL version: 2.1.3
% 62.85/15.32 % (3791924)Termination reason: Instruction limit
% 62.85/15.32 % (3791924)Termination phase: Saturation
% 62.85/15.32 % (3791924)Time elapsed: 7.707 s
% 62.85/15.32 % (3791924)Peak memory usage: 185 MB
% 62.85/15.32 % (3791924)Instructions burned: 14156 (million)
% 62.85/15.32 % (3791948)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1621034829:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2896 on theBenchmark for (2896ds/2479Mi)
% 62.85/15.32 % (3791948)Refutation not found, incomplete strategy
% 62.85/15.32 % (3791948)------------------------------
% 62.85/15.32 % (3791948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.85/15.32 % (3791948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.85/15.32 % (3791948)CaDiCaL version: 2.1.3
% 62.85/15.32 % (3791948)Termination reason: Refutation not found, incomplete strategy
% 62.85/15.32 % (3791948)Time elapsed: 0.005 s
% 62.85/15.32 % (3791948)Peak memory usage: 89 MB
% 62.85/15.32 % (3791948)Instructions burned: 7 (million)
% 62.85/15.32 % (3791948)------------------------------
% 62.85/15.32 % (3791948)------------------------------
% 62.85/15.32 % (3791950)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=3251989565:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2893 on theBenchmark for (2893ds/440Mi)
% 62.85/15.32 % (3791940)Instruction limit reached!
% 62.85/15.32 % (3791940)------------------------------
% 62.85/15.32 % (3791940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.85/15.32 % (3791940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.85/15.32 % (3791940)CaDiCaL version: 2.1.3
% 62.85/15.32 % (3791940)Termination reason: Instruction limit
% 62.85/15.32 % (3791940)Termination phase: Saturation
% 62.85/15.32 % (3791940)Time elapsed: 1.845 s
% 62.85/15.32 % (3791940)Peak memory usage: 100 MB
% 62.85/15.32 % (3791940)Instructions burned: 3706 (million)
% 62.85/15.32 % (3791952)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1562315766:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2891 on theBenchmark for (2891ds/11145Mi)
% 62.85/15.32 % (3791950)Instruction limit reached!
% 62.85/15.32 % (3791950)------------------------------
% 62.85/15.32 % (3791950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.85/15.32 % (3791950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.85/15.32 % (3791950)CaDiCaL version: 2.1.3
% 62.85/15.32 % (3791950)Termination reason: Instruction limit
% 62.85/15.32 % (3791950)Termination phase: Saturation
% 62.85/15.32 % (3791950)Time elapsed: 0.261 s
% 62.85/15.32 % (3791950)Peak memory usage: 92 MB
% 62.85/15.32 % (3791950)Instructions burned: 441 (million)
% 62.85/15.32 % (3791954)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=84721842:cts=off:i=3034:av=off:er=known:fsd=on_2889 on theBenchmark for (2889ds/3034Mi)
% 62.85/15.32 % (3791945)Instruction limit reached!
% 62.85/15.32 % (3791945)------------------------------
% 62.85/15.32 % (3791945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.85/15.32 % (3791945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.85/15.32 % (3791945)CaDiCaL version: 2.1.3
% 62.85/15.32 % (3791945)Termination reason: Instruction limit
% 62.85/15.32 % (3791945)Termination phase: Saturation
% 62.85/15.32 % (3791945)Time elapsed: 3.283 s
% 62.85/15.32 % (3791945)Peak memory usage: 190 MB
% 62.85/15.32 % (3791945)Instructions burned: 9926 (million)
% 62.85/15.32 % (3791956)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=2761048876:st=2:s2a=on:i=524:s2at=2:ss=axioms_2870 on theBenchmark for (2870ds/524Mi)
% 62.85/15.32 % (3791954)Instruction limit reached!
% 62.85/15.32 % (3791954)------------------------------
% 62.85/15.32 % (3791954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.85/15.32 % (3791954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.85/15.32 % (3791954)CaDiCaL version: 2.1.3
% 62.85/15.32 % (3791954)Termination reason: Instruction limit
% 62.85/15.32 % (3791954)Termination phase: Saturation
% 62.85/15.32 % (3791954)Time elapsed: 1.872 s
% 62.85/15.32 % (3791954)Peak memory usage: 138 MB
% 62.85/15.32 % (3791954)Instructions burned: 3034 (million)
% 62.85/15.32 % (3791956)Instruction limit reached!
% 62.85/15.32 % (3791956)------------------------------
% 62.85/15.32 % (3791956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.85/15.32 % (3791956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.85/15.32 % (3791956)CaDiCaL version: 2.1.3
% 62.85/15.32 % (3791956)Termination reason: Instruction limit
% 62.85/15.32 % (3791956)Termination phase: Saturation
% 62.85/15.32 % (3791956)Time elapsed: 0.145 s
% 62.85/15.32 % (3791956)Peak memory usage: 98 MB
% 62.85/15.32 % (3791956)Instructions burned: 526 (million)
% 62.85/15.32 % (3791958)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1114142795:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2869 on theBenchmark for (2869ds/1016Mi)
% 62.85/15.32 % (3791958)Refutation not found, incomplete strategy
% 62.85/15.32 % (3791958)------------------------------
% 62.85/15.32 % (3791958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.85/15.32 % (3791958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.85/15.32 % (3791958)CaDiCaL version: 2.1.3
% 62.85/15.32 % (3791958)Termination reason: Refutation not found, incomplete strategy
% 62.85/15.32 % (3791958)Time elapsed: 0.002 s
% 62.85/15.32 % (3791958)Peak memory usage: 89 MB
% 62.85/15.32 % (3791959)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=3551102842:i=14123:bd=preordered:ins=4_2867 on theBenchmark for (2867ds/14123Mi)
% 62.85/15.32 % (3791958)------------------------------
% 62.85/15.32 % (3791958)------------------------------
% 62.85/15.32 % (3791962)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=2993602066:i=5781:kws=precedence:bd=all:rawr=on_2865 on theBenchmark for (2865ds/5781Mi)
% 62.85/15.32 % (3791870)First to succeed.
% 62.85/15.32 % (3791870)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3791863"
% 62.85/15.32 % (3791870)Refutation found. Thanks to Tanya!
% 62.85/15.32 % SZS status Theorem for theBenchmark
% 62.85/15.32 % SZS output start Proof for theBenchmark
% See solution above
% 103.30/15.52 % (3791870)------------------------------
% 103.30/15.52 % (3791870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.30/15.52 % (3791870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.30/15.52 % (3791870)CaDiCaL version: 2.1.3
% 103.30/15.52 % (3791870)Termination reason: Refutation
% 103.30/15.52 % (3791870)Time elapsed: 14.042 s
% 103.30/15.52 % (3791870)Peak memory usage: 256 MB
% 103.30/15.52 % (3791870)Instructions burned: 23078 (million)
% 103.30/15.52 % (3791870)------------------------------
% 103.30/15.52 % (3791870)------------------------------
% 103.30/15.52 % (3791863)Success in time 14.493 s
% 103.30/15.52 % Vampire exiting
%------------------------------------------------------------------------------