%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG216+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 09:19:21 AM UTC 2026
% Result : Theorem 8.83s 2.61s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 34
% Syntax : Number of formulae : 307 ( 70 unt; 26 def)
% Number of atoms : 3326 ( 49 equ)
% Maximal formula atoms : 37 ( 10 avg)
% Number of connectives : 5594 (2575 ~;2799 |; 174 &)
% ( 26 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 12 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 45 ( 43 usr; 27 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 254 ( 0 sgn 245 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f481,axiom,
! [X0] : k1_subset_1(X0) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_subset_1) ).
fof(f563,axiom,
! [X0] :
( v1_xboole_0(k1_subset_1(X0))
& m1_subset_1(k1_subset_1(X0),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_subset_1) ).
fof(f3379,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1)))
=> k5_rmod_4(X0,X1,X2) = k1_rlvect_1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_rmod_4) ).
fof(f3425,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0)
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m2_rmod_4(X3,X0,X1,X2)
=> m1_rmod_4(X3,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_rmod_4) ).
fof(f3426,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0)
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ? [X3] : m2_rmod_4(X3,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_rmod_4) ).
fof(f3434,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0)
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0)
& m1_rmod_4(X2,X0,X1) )
=> m1_subset_1(k5_rmod_4(X0,X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_rmod_4) ).
fof(f3448,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
=> ( k1_rlvect_1(X0) = k2_group_1(X0)
| ( X2 != k1_rlvect_1(X1)
& X3 != k1_rlvect_1(X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_rmod_5) ).
fof(f3449,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k1_rlvect_1(X0) != k2_group_1(X0)
=> ( ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
& ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_rmod_5) ).
fof(f3450,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k1_rlvect_1(X0) != k2_group_1(X0)
=> ( ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
& ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3449]) ).
fof(f3468,plain,
! [X0] : m1_subset_1(k1_subset_1(X0),k1_zfmisc_1(X0)),
inference(pure_predicate_removal,[],[f563]) ).
fof(f3479,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ( X2 != k1_rlvect_1(X1)
& X3 != k1_rlvect_1(X1) )
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f3448]) ).
fof(f3480,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ( X2 != k1_rlvect_1(X1)
& X3 != k1_rlvect_1(X1) )
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f3479]) ).
fof(f3481,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
| v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1) )
& k1_rlvect_1(X0) != k2_group_1(X0)
& m1_subset_1(X2,u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f3450]) ).
fof(f3482,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
| v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1) )
& k1_rlvect_1(X0) != k2_group_1(X0)
& m1_subset_1(X2,u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) ),
inference(flattening,[],[f3481]) ).
fof(f3551,plain,
! [X0,X1,X2] :
( ? [X3] : m2_rmod_4(X3,X0,X1,X2)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(ennf_transformation,[],[f3426]) ).
fof(f3552,plain,
! [X0,X1,X2] :
( ? [X3] : m2_rmod_4(X3,X0,X1,X2)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(flattening,[],[f3551]) ).
fof(f3553,plain,
! [X0,X1,X2] :
( ! [X3] :
( m1_rmod_4(X3,X0,X1)
| ~ m2_rmod_4(X3,X0,X1,X2) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(ennf_transformation,[],[f3425]) ).
fof(f3554,plain,
! [X0,X1,X2] :
( ! [X3] :
( m1_rmod_4(X3,X0,X1)
| ~ m2_rmod_4(X3,X0,X1,X2) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(flattening,[],[f3553]) ).
fof(f3567,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_rmod_4(X0,X1,X2),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_rmod_4(X2,X0,X1) ),
inference(ennf_transformation,[],[f3434]) ).
fof(f3568,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_rmod_4(X0,X1,X2),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_rmod_4(X2,X0,X1) ),
inference(flattening,[],[f3567]) ).
fof(f3587,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_rmod_4(X0,X1,X2) = k1_rlvect_1(X1)
| ~ m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f3379]) ).
fof(f3588,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_rmod_4(X0,X1,X2) = k1_rlvect_1(X1)
| ~ m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f3587]) ).
fof(f3603,plain,
( ( v1_rmod_5(k8_rlvect_2(sK3,sK4,k1_rlvect_1(sK3)),sK2,sK3)
| v1_rmod_5(k8_rlvect_2(sK3,k1_rlvect_1(sK3),sK4),sK2,sK3) )
& k1_rlvect_1(sK2) != k2_group_1(sK2)
& m1_subset_1(sK4,u1_struct_0(sK3))
& ~ v3_struct_0(sK3)
& v3_rlvect_1(sK3)
& v4_rlvect_1(sK3)
& v5_rlvect_1(sK3)
& v6_rlvect_1(sK3)
& v5_vectsp_2(sK3,sK2)
& l1_vectsp_2(sK3,sK2)
& ~ v3_struct_0(sK2)
& v3_rlvect_1(sK2)
& v4_rlvect_1(sK2)
& v5_rlvect_1(sK2)
& v6_rlvect_1(sK2)
& v4_group_1(sK2)
& v6_vectsp_1(sK2)
& v7_vectsp_1(sK2)
& v8_vectsp_1(sK2)
& l3_vectsp_1(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f3482]) ).
fof(f3637,plain,
! [X0,X1,X2] :
( m2_rmod_4(sK27(X0,X1,X2),X0,X1,X2)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X3,sK27(X0,X1,X2))],[f3552]) ).
fof(f3661,plain,
! [X2,X3,X0,X1] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rlvect_1(X1) != X3
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f3480]) ).
fof(f3662,plain,
! [X2,X3,X0,X1] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rlvect_1(X1) != X2
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f3480]) ).
fof(f3663,plain,
l3_vectsp_1(sK2),
inference(cnf_transformation,[],[f3603]) ).
fof(f3664,plain,
v8_vectsp_1(sK2),
inference(cnf_transformation,[],[f3603]) ).
fof(f3665,plain,
v7_vectsp_1(sK2),
inference(cnf_transformation,[],[f3603]) ).
fof(f3666,plain,
v6_vectsp_1(sK2),
inference(cnf_transformation,[],[f3603]) ).
fof(f3667,plain,
v4_group_1(sK2),
inference(cnf_transformation,[],[f3603]) ).
fof(f3668,plain,
v6_rlvect_1(sK2),
inference(cnf_transformation,[],[f3603]) ).
fof(f3669,plain,
v5_rlvect_1(sK2),
inference(cnf_transformation,[],[f3603]) ).
fof(f3670,plain,
v4_rlvect_1(sK2),
inference(cnf_transformation,[],[f3603]) ).
fof(f3671,plain,
v3_rlvect_1(sK2),
inference(cnf_transformation,[],[f3603]) ).
fof(f3672,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f3603]) ).
fof(f3673,plain,
l1_vectsp_2(sK3,sK2),
inference(cnf_transformation,[],[f3603]) ).
fof(f3674,plain,
v5_vectsp_2(sK3,sK2),
inference(cnf_transformation,[],[f3603]) ).
fof(f3675,plain,
v6_rlvect_1(sK3),
inference(cnf_transformation,[],[f3603]) ).
fof(f3676,plain,
v5_rlvect_1(sK3),
inference(cnf_transformation,[],[f3603]) ).
fof(f3677,plain,
v4_rlvect_1(sK3),
inference(cnf_transformation,[],[f3603]) ).
fof(f3678,plain,
v3_rlvect_1(sK3),
inference(cnf_transformation,[],[f3603]) ).
fof(f3679,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f3603]) ).
fof(f3680,plain,
m1_subset_1(sK4,u1_struct_0(sK3)),
inference(cnf_transformation,[],[f3603]) ).
fof(f3681,plain,
k1_rlvect_1(sK2) != k2_group_1(sK2),
inference(cnf_transformation,[],[f3603]) ).
fof(f3682,plain,
( v1_rmod_5(k8_rlvect_2(sK3,sK4,k1_rlvect_1(sK3)),sK2,sK3)
| v1_rmod_5(k8_rlvect_2(sK3,k1_rlvect_1(sK3),sK4),sK2,sK3) ),
inference(cnf_transformation,[],[f3603]) ).
fof(f3818,plain,
! [X2,X0,X1] :
( m2_rmod_4(sK27(X0,X1,X2),X0,X1,X2)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f3637]) ).
fof(f3819,plain,
! [X2,X3,X0,X1] :
( m1_rmod_4(X3,X0,X1)
| ~ m2_rmod_4(X3,X0,X1,X2)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f3554]) ).
fof(f3831,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_rmod_4(X0,X1,X2),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_rmod_4(X2,X0,X1) ),
inference(cnf_transformation,[],[f3568]) ).
fof(f3854,plain,
! [X2,X0,X1] :
( k1_rlvect_1(X1) = k5_rmod_4(X0,X1,X2)
| ~ m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f3588]) ).
fof(f3856,plain,
! [X0] : m1_subset_1(k1_subset_1(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f3468]) ).
fof(f3859,plain,
! [X0] : k1_xboole_0 = k1_subset_1(X0),
inference(cnf_transformation,[],[f481]) ).
fof(f3864,plain,
! [X2,X0,X1] :
( k1_rlvect_1(X1) = k5_rmod_4(X0,X1,X2)
| ~ m2_rmod_4(X2,X0,X1,k1_xboole_0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(definition_unfolding,[],[f3854,f3859]) ).
fof(f3866,plain,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(definition_unfolding,[],[f3856,f3859]) ).
fof(f3869,plain,
! [X3,X0,X1] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(equality_resolution,[],[f3662]) ).
fof(f3870,plain,
! [X2,X0,X1] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
| ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(equality_resolution,[],[f3661]) ).
fof(f3897,definition,
( spl40_1
<=> v3_struct_0(sK2) ),
introduced(definition,[new_symbols(definition,[spl40_1])],[avatar_definition]) ).
fof(f3899,plain,
( ~ v3_struct_0(sK2)
| spl40_1 ),
inference(avatar_component_clause,[],[f3897]) ).
fof(f3900,plain,
~ spl40_1,
inference(avatar_split_clause,[],[f3672,f3897]) ).
fof(f3902,definition,
( spl40_2
<=> v3_struct_0(sK3) ),
introduced(definition,[new_symbols(definition,[spl40_2])],[avatar_definition]) ).
fof(f3904,plain,
( ~ v3_struct_0(sK3)
| spl40_2 ),
inference(avatar_component_clause,[],[f3902]) ).
fof(f3905,plain,
~ spl40_2,
inference(avatar_split_clause,[],[f3679,f3902]) ).
fof(f4068,plain,
( ! [X0,X1] :
( k1_rlvect_1(sK2) = k2_group_1(sK2)
| ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(resolution,[],[f3899,f3869]) ).
fof(f4070,plain,
( ! [X0,X1] :
( k1_rlvect_1(sK2) = k2_group_1(sK2)
| ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(resolution,[],[f3899,f3870]) ).
fof(f4085,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f4070,f3681]) ).
fof(f4087,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f4068,f3681]) ).
fof(f4251,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f4085,f3671]) ).
fof(f4253,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f4087,f3671]) ).
fof(f4417,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f4251,f3670]) ).
fof(f4419,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f4253,f3670]) ).
fof(f4583,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f4417,f3669]) ).
fof(f4585,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f4419,f3669]) ).
fof(f4746,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f4583,f3668]) ).
fof(f4747,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f4585,f3668]) ).
fof(f4843,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f4746,f3667]) ).
fof(f4844,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f4747,f3667]) ).
fof(f4940,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f4843,f3666]) ).
fof(f4941,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f4844,f3666]) ).
fof(f5034,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f4940,f3665]) ).
fof(f5035,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f4941,f3665]) ).
fof(f5128,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f5034,f3664]) ).
fof(f5129,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f5035,f3664]) ).
fof(f5219,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f5128,f3663]) ).
fof(f5220,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2) )
| spl40_1 ),
inference(forward_subsumption_resolution,[],[f5129,f3663]) ).
fof(f6130,definition,
( spl40_4
<=> l1_vectsp_2(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl40_4])],[avatar_definition]) ).
fof(f6132,plain,
( l1_vectsp_2(sK3,sK2)
| ~ spl40_4 ),
inference(avatar_component_clause,[],[f6130]) ).
fof(f6133,plain,
spl40_4,
inference(avatar_split_clause,[],[f3673,f6130]) ).
fof(f6183,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| ~ spl40_4 ),
inference(resolution,[],[f6132,f3819]) ).
fof(f6200,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| ~ spl40_4 ),
inference(resolution,[],[f6132,f3864]) ).
fof(f6211,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6200,f3904]) ).
fof(f6228,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6183,f3899]) ).
fof(f6280,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6211,f3678]) ).
fof(f6297,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6228,f3671]) ).
fof(f6349,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6280,f3677]) ).
fof(f6366,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6297,f3670]) ).
fof(f6418,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6349,f3676]) ).
fof(f6435,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6366,f3669]) ).
fof(f6487,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6418,f3675]) ).
fof(f6504,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6435,f3668]) ).
fof(f6556,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6487,f3674]) ).
fof(f6573,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6504,f3667]) ).
fof(f6625,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6556,f3899]) ).
fof(f6642,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6573,f3666]) ).
fof(f6694,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6625,f3671]) ).
fof(f6711,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6642,f3665]) ).
fof(f6763,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6694,f3670]) ).
fof(f6780,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6711,f3664]) ).
fof(f6832,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6763,f3669]) ).
fof(f6849,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6780,f3663]) ).
fof(f6901,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6832,f3668]) ).
fof(f6918,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6849,f3904]) ).
fof(f6970,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6901,f3667]) ).
fof(f6987,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6918,f3678]) ).
fof(f7039,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6970,f3666]) ).
fof(f7056,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f6987,f3677]) ).
fof(f7108,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f7039,f3665]) ).
fof(f7125,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f7056,f3676]) ).
fof(f7177,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| ~ l3_vectsp_1(sK2) )
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f7108,f3664]) ).
fof(f7194,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f7125,f3675]) ).
fof(f7246,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f7177,f3663]) ).
fof(f7263,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(forward_subsumption_resolution,[],[f7194,f3674]) ).
fof(f7335,definition,
( spl40_5
<=> m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl40_5])],[avatar_definition]) ).
fof(f7336,plain,
( m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(sK3))
| ~ spl40_5 ),
inference(avatar_component_clause,[],[f7335]) ).
fof(f7337,plain,
( ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(sK3))
| spl40_5 ),
inference(avatar_component_clause,[],[f7335]) ).
fof(f7394,definition,
( spl40_8
<=> v8_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl40_8])],[avatar_definition]) ).
fof(f7396,plain,
( v8_vectsp_1(sK2)
| ~ spl40_8 ),
inference(avatar_component_clause,[],[f7394]) ).
fof(f7397,plain,
spl40_8,
inference(avatar_split_clause,[],[f3664,f7394]) ).
fof(f7399,definition,
( spl40_9
<=> v5_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl40_9])],[avatar_definition]) ).
fof(f7401,plain,
( v5_rlvect_1(sK3)
| ~ spl40_9 ),
inference(avatar_component_clause,[],[f7399]) ).
fof(f7402,plain,
spl40_9,
inference(avatar_split_clause,[],[f3676,f7399]) ).
fof(f7404,definition,
( spl40_10
<=> v5_vectsp_2(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl40_10])],[avatar_definition]) ).
fof(f7406,plain,
( v5_vectsp_2(sK3,sK2)
| ~ spl40_10 ),
inference(avatar_component_clause,[],[f7404]) ).
fof(f7407,plain,
spl40_10,
inference(avatar_split_clause,[],[f3674,f7404]) ).
fof(f7554,definition,
( spl40_12
<=> v3_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl40_12])],[avatar_definition]) ).
fof(f7556,plain,
( v3_rlvect_1(sK3)
| ~ spl40_12 ),
inference(avatar_component_clause,[],[f7554]) ).
fof(f7557,plain,
spl40_12,
inference(avatar_split_clause,[],[f3678,f7554]) ).
fof(f7559,definition,
( spl40_13
<=> v5_rlvect_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl40_13])],[avatar_definition]) ).
fof(f7561,plain,
( v5_rlvect_1(sK2)
| ~ spl40_13 ),
inference(avatar_component_clause,[],[f7559]) ).
fof(f7562,plain,
spl40_13,
inference(avatar_split_clause,[],[f3669,f7559]) ).
fof(f7564,definition,
( spl40_14
<=> v6_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl40_14])],[avatar_definition]) ).
fof(f7566,plain,
( v6_rlvect_1(sK3)
| ~ spl40_14 ),
inference(avatar_component_clause,[],[f7564]) ).
fof(f7567,plain,
spl40_14,
inference(avatar_split_clause,[],[f3675,f7564]) ).
fof(f7569,definition,
( spl40_15
<=> l3_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl40_15])],[avatar_definition]) ).
fof(f7571,plain,
( l3_vectsp_1(sK2)
| ~ spl40_15 ),
inference(avatar_component_clause,[],[f7569]) ).
fof(f7572,plain,
spl40_15,
inference(avatar_split_clause,[],[f3663,f7569]) ).
fof(f7574,definition,
( spl40_16
<=> v3_rlvect_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl40_16])],[avatar_definition]) ).
fof(f7576,plain,
( v3_rlvect_1(sK2)
| ~ spl40_16 ),
inference(avatar_component_clause,[],[f7574]) ).
fof(f7577,plain,
spl40_16,
inference(avatar_split_clause,[],[f3671,f7574]) ).
fof(f7579,definition,
( spl40_17
<=> v7_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl40_17])],[avatar_definition]) ).
fof(f7581,plain,
( v7_vectsp_1(sK2)
| ~ spl40_17 ),
inference(avatar_component_clause,[],[f7579]) ).
fof(f7582,plain,
spl40_17,
inference(avatar_split_clause,[],[f3665,f7579]) ).
fof(f7584,definition,
( spl40_18
<=> v6_rlvect_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl40_18])],[avatar_definition]) ).
fof(f7586,plain,
( v6_rlvect_1(sK2)
| ~ spl40_18 ),
inference(avatar_component_clause,[],[f7584]) ).
fof(f7587,plain,
spl40_18,
inference(avatar_split_clause,[],[f3668,f7584]) ).
fof(f7589,definition,
( spl40_19
<=> v4_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl40_19])],[avatar_definition]) ).
fof(f7591,plain,
( v4_rlvect_1(sK3)
| ~ spl40_19 ),
inference(avatar_component_clause,[],[f7589]) ).
fof(f7592,plain,
spl40_19,
inference(avatar_split_clause,[],[f3677,f7589]) ).
fof(f7689,definition,
( spl40_20
<=> v4_group_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl40_20])],[avatar_definition]) ).
fof(f7691,plain,
( v4_group_1(sK2)
| ~ spl40_20 ),
inference(avatar_component_clause,[],[f7689]) ).
fof(f7692,plain,
spl40_20,
inference(avatar_split_clause,[],[f3667,f7689]) ).
fof(f8398,definition,
( spl40_21
<=> v4_rlvect_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl40_21])],[avatar_definition]) ).
fof(f8400,plain,
( v4_rlvect_1(sK2)
| ~ spl40_21 ),
inference(avatar_component_clause,[],[f8398]) ).
fof(f8401,plain,
spl40_21,
inference(avatar_split_clause,[],[f3670,f8398]) ).
fof(f9116,definition,
( spl40_22
<=> v6_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl40_22])],[avatar_definition]) ).
fof(f9118,plain,
( v6_vectsp_1(sK2)
| ~ spl40_22 ),
inference(avatar_component_clause,[],[f9116]) ).
fof(f9119,plain,
spl40_22,
inference(avatar_split_clause,[],[f3666,f9116]) ).
fof(f9482,definition,
( spl40_23
<=> m1_subset_1(sK4,u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl40_23])],[avatar_definition]) ).
fof(f9484,plain,
( m1_subset_1(sK4,u1_struct_0(sK3))
| ~ spl40_23 ),
inference(avatar_component_clause,[],[f9482]) ).
fof(f9485,plain,
spl40_23,
inference(avatar_split_clause,[],[f3680,f9482]) ).
fof(f9696,definition,
( spl40_29
<=> ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl40_29])],[avatar_definition]) ).
fof(f9697,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2) )
| ~ spl40_29 ),
inference(avatar_component_clause,[],[f9696]) ).
fof(f9698,plain,
( spl40_29
| spl40_1 ),
inference(avatar_split_clause,[],[f5219,f3897,f9696]) ).
fof(f9778,definition,
( spl40_30
<=> ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl40_30])],[avatar_definition]) ).
fof(f9779,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2) )
| ~ spl40_30 ),
inference(avatar_component_clause,[],[f9778]) ).
fof(f9780,plain,
( spl40_30
| spl40_1 ),
inference(avatar_split_clause,[],[f5220,f3897,f9778]) ).
fof(f9860,definition,
( spl40_31
<=> ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) ) ),
introduced(definition,[new_symbols(definition,[spl40_31])],[avatar_definition]) ).
fof(f9861,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| ~ spl40_31 ),
inference(avatar_component_clause,[],[f9860]) ).
fof(f9862,plain,
( spl40_31
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(avatar_split_clause,[],[f7246,f6130,f3902,f3897,f9860]) ).
fof(f9864,plain,
( ! [X0] :
( m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(sK3))
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| ~ spl40_31 ),
inference(superposition,[],[f3831,f9861]) ).
fof(f9871,plain,
( ! [X0] :
( v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_5
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9864,f7337]) ).
fof(f9875,plain,
( ! [X0] :
( ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_5
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9871,f3899]) ).
fof(f9879,plain,
( ! [X0] :
( ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_5
| ~ spl40_16
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9875,f7576]) ).
fof(f9883,plain,
( ! [X0] :
( ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_5
| ~ spl40_16
| ~ spl40_21
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9879,f8400]) ).
fof(f9887,plain,
( ! [X0] :
( ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_5
| ~ spl40_13
| ~ spl40_16
| ~ spl40_21
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9883,f7561]) ).
fof(f9891,plain,
( ! [X0] :
( ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_5
| ~ spl40_13
| ~ spl40_16
| ~ spl40_18
| ~ spl40_21
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9887,f7586]) ).
fof(f9895,plain,
( ! [X0] :
( ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_5
| ~ spl40_13
| ~ spl40_16
| ~ spl40_18
| ~ spl40_20
| ~ spl40_21
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9891,f7691]) ).
fof(f9899,plain,
( ! [X0] :
( ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_5
| ~ spl40_13
| ~ spl40_16
| ~ spl40_18
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9895,f9118]) ).
fof(f9903,plain,
( ! [X0] :
( ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_5
| ~ spl40_13
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9899,f7581]) ).
fof(f9907,plain,
( ! [X0] :
( ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_5
| ~ spl40_8
| ~ spl40_13
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9903,f7396]) ).
fof(f9911,plain,
( ! [X0] :
( v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_5
| ~ spl40_8
| ~ spl40_13
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9907,f7571]) ).
fof(f9915,plain,
( ! [X0] :
( ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_2
| spl40_5
| ~ spl40_8
| ~ spl40_13
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9911,f3904]) ).
fof(f9919,plain,
( ! [X0] :
( ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_2
| spl40_5
| ~ spl40_8
| ~ spl40_12
| ~ spl40_13
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9915,f7556]) ).
fof(f9923,plain,
( ! [X0] :
( ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_2
| spl40_5
| ~ spl40_8
| ~ spl40_12
| ~ spl40_13
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9919,f7591]) ).
fof(f9927,plain,
( ! [X0] :
( ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_2
| spl40_5
| ~ spl40_8
| ~ spl40_9
| ~ spl40_12
| ~ spl40_13
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9923,f7401]) ).
fof(f9931,plain,
( ! [X0] :
( ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_2
| spl40_5
| ~ spl40_8
| ~ spl40_9
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9927,f7566]) ).
fof(f9935,plain,
( ! [X0] :
( ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_2
| spl40_5
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9931,f7406]) ).
fof(f9937,plain,
( ! [X0] :
( ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) )
| spl40_1
| spl40_2
| ~ spl40_4
| spl40_5
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_31 ),
inference(forward_subsumption_resolution,[],[f9935,f6132]) ).
fof(f10587,definition,
( spl40_44
<=> ! [X0] :
( ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0) ) ),
introduced(definition,[new_symbols(definition,[spl40_44])],[avatar_definition]) ).
fof(f10588,plain,
( ! [X0] :
( ~ m2_rmod_4(X0,sK2,sK3,k1_xboole_0)
| ~ m1_rmod_4(X0,sK2,sK3) )
| ~ spl40_44 ),
inference(avatar_component_clause,[],[f10587]) ).
fof(f10589,plain,
( spl40_44
| spl40_1
| spl40_2
| ~ spl40_4
| spl40_5
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_31 ),
inference(avatar_split_clause,[],[f9937,f9860,f9116,f8398,f7689,f7589,f7584,f7579,f7574,f7569,f7564,f7559,f7554,f7404,f7399,f7394,f7335,f6130,f3902,f3897,f10587]) ).
fof(f10782,definition,
( spl40_49
<=> v1_rmod_5(k8_rlvect_2(sK3,k1_rlvect_1(sK3),sK4),sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl40_49])],[avatar_definition]) ).
fof(f10784,plain,
( v1_rmod_5(k8_rlvect_2(sK3,k1_rlvect_1(sK3),sK4),sK2,sK3)
| ~ spl40_49 ),
inference(avatar_component_clause,[],[f10782]) ).
fof(f10786,definition,
( spl40_50
<=> v1_rmod_5(k8_rlvect_2(sK3,sK4,k1_rlvect_1(sK3)),sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl40_50])],[avatar_definition]) ).
fof(f10788,plain,
( v1_rmod_5(k8_rlvect_2(sK3,sK4,k1_rlvect_1(sK3)),sK2,sK3)
| ~ spl40_50 ),
inference(avatar_component_clause,[],[f10786]) ).
fof(f10789,plain,
( spl40_49
| spl40_50 ),
inference(avatar_split_clause,[],[f3682,f10786,f10782]) ).
fof(f10791,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK3))
| ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ spl40_30
| ~ spl40_49 ),
inference(resolution,[],[f10784,f9779]) ).
fof(f10846,definition,
( spl40_51
<=> ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) ) ),
introduced(definition,[new_symbols(definition,[spl40_51])],[avatar_definition]) ).
fof(f10847,plain,
( ! [X0,X1] :
( ~ m2_rmod_4(X0,sK2,sK3,X1)
| m1_rmod_4(X0,sK2,sK3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| ~ spl40_51 ),
inference(avatar_component_clause,[],[f10846]) ).
fof(f10848,plain,
( spl40_51
| spl40_1
| spl40_2
| ~ spl40_4 ),
inference(avatar_split_clause,[],[f7263,f6130,f3902,f3897,f10846]) ).
fof(f10850,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| ~ spl40_51 ),
inference(resolution,[],[f10847,f3818]) ).
fof(f10856,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| ~ spl40_51 ),
inference(duplicate_literal_removal,[],[f10850]) ).
fof(f10858,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl40_1
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10856,f3899]) ).
fof(f10860,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl40_1
| ~ spl40_16
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10858,f7576]) ).
fof(f10862,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl40_1
| ~ spl40_16
| ~ spl40_21
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10860,f8400]) ).
fof(f10864,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl40_1
| ~ spl40_13
| ~ spl40_16
| ~ spl40_21
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10862,f7561]) ).
fof(f10866,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl40_1
| ~ spl40_13
| ~ spl40_16
| ~ spl40_18
| ~ spl40_21
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10864,f7586]) ).
fof(f10868,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl40_1
| ~ spl40_13
| ~ spl40_16
| ~ spl40_18
| ~ spl40_20
| ~ spl40_21
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10866,f7691]) ).
fof(f10870,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl40_1
| ~ spl40_13
| ~ spl40_16
| ~ spl40_18
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10868,f9118]) ).
fof(f10872,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl40_1
| ~ spl40_13
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10870,f7581]) ).
fof(f10874,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl40_1
| ~ spl40_8
| ~ spl40_13
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10872,f7396]) ).
fof(f10876,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl40_1
| ~ spl40_8
| ~ spl40_13
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10874,f7571]) ).
fof(f10878,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl40_1
| spl40_2
| ~ spl40_8
| ~ spl40_13
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10876,f3904]) ).
fof(f10880,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl40_1
| spl40_2
| ~ spl40_8
| ~ spl40_12
| ~ spl40_13
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10878,f7556]) ).
fof(f10882,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl40_1
| spl40_2
| ~ spl40_8
| ~ spl40_12
| ~ spl40_13
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10880,f7591]) ).
fof(f10884,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl40_1
| spl40_2
| ~ spl40_8
| ~ spl40_9
| ~ spl40_12
| ~ spl40_13
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10882,f7401]) ).
fof(f10886,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl40_1
| spl40_2
| ~ spl40_8
| ~ spl40_9
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10884,f7566]) ).
fof(f10888,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK2) )
| spl40_1
| spl40_2
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10886,f7406]) ).
fof(f10890,plain,
( ! [X0] :
( m1_rmod_4(sK27(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10888,f6132]) ).
fof(f10978,plain,
( ~ m1_rmod_4(sK27(sK2,sK3,k1_xboole_0),sK2,sK3)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ spl40_44 ),
inference(resolution,[],[f10588,f3818]) ).
fof(f10989,plain,
( v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10978,f10890]) ).
fof(f10992,plain,
( ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10989,f3899]) ).
fof(f10995,plain,
( ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10992,f7576]) ).
fof(f10998,plain,
( ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10995,f8400]) ).
fof(f11001,plain,
( ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f10998,f7561]) ).
fof(f11004,plain,
( ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f11001,f7586]) ).
fof(f11007,plain,
( ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f11004,f7691]) ).
fof(f11010,plain,
( ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f11007,f9118]) ).
fof(f11013,plain,
( ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f11010,f7581]) ).
fof(f11016,plain,
( ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f11013,f7396]) ).
fof(f11019,plain,
( v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f11016,f7571]) ).
fof(f11022,plain,
( ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f11019,f3904]) ).
fof(f11025,plain,
( ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f11022,f7556]) ).
fof(f11028,plain,
( ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f11025,f7591]) ).
fof(f11031,plain,
( ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f11028,f7401]) ).
fof(f11034,plain,
( ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f11031,f7566]) ).
fof(f11037,plain,
( ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f11034,f7406]) ).
fof(f11040,plain,
( ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f11037,f6132]) ).
fof(f11042,plain,
( $false
| spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(forward_subsumption_resolution,[],[f11040,f3866]) ).
fof(f11043,plain,
( spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(avatar_contradiction_clause,[],[f11042]) ).
fof(f11061,plain,
( ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ spl40_23
| ~ spl40_30
| ~ spl40_49 ),
inference(forward_subsumption_resolution,[],[f10791,f9484]) ).
fof(f11077,plain,
( v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ spl40_5
| ~ spl40_23
| ~ spl40_30
| ~ spl40_49 ),
inference(forward_subsumption_resolution,[],[f11061,f7336]) ).
fof(f11093,plain,
( ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| spl40_2
| ~ spl40_5
| ~ spl40_23
| ~ spl40_30
| ~ spl40_49 ),
inference(forward_subsumption_resolution,[],[f11077,f3904]) ).
fof(f11110,plain,
( ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| spl40_2
| ~ spl40_5
| ~ spl40_12
| ~ spl40_23
| ~ spl40_30
| ~ spl40_49 ),
inference(forward_subsumption_resolution,[],[f11093,f7556]) ).
fof(f11121,plain,
( ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| spl40_2
| ~ spl40_5
| ~ spl40_12
| ~ spl40_19
| ~ spl40_23
| ~ spl40_30
| ~ spl40_49 ),
inference(forward_subsumption_resolution,[],[f11110,f7591]) ).
fof(f11132,plain,
( ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| spl40_2
| ~ spl40_5
| ~ spl40_9
| ~ spl40_12
| ~ spl40_19
| ~ spl40_23
| ~ spl40_30
| ~ spl40_49 ),
inference(forward_subsumption_resolution,[],[f11121,f7401]) ).
fof(f11139,plain,
( ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| spl40_2
| ~ spl40_5
| ~ spl40_9
| ~ spl40_12
| ~ spl40_14
| ~ spl40_19
| ~ spl40_23
| ~ spl40_30
| ~ spl40_49 ),
inference(forward_subsumption_resolution,[],[f11132,f7566]) ).
fof(f11146,plain,
( ~ l1_vectsp_2(sK3,sK2)
| spl40_2
| ~ spl40_5
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_14
| ~ spl40_19
| ~ spl40_23
| ~ spl40_30
| ~ spl40_49 ),
inference(forward_subsumption_resolution,[],[f11139,f7406]) ).
fof(f11153,plain,
( $false
| spl40_2
| ~ spl40_4
| ~ spl40_5
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_14
| ~ spl40_19
| ~ spl40_23
| ~ spl40_30
| ~ spl40_49 ),
inference(forward_subsumption_resolution,[],[f11146,f6132]) ).
fof(f11154,plain,
( spl40_2
| ~ spl40_4
| ~ spl40_5
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_14
| ~ spl40_19
| ~ spl40_23
| ~ spl40_30
| ~ spl40_49 ),
inference(avatar_contradiction_clause,[],[f11153]) ).
fof(f11478,plain,
( ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(sK3))
| ~ m1_subset_1(sK4,u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ spl40_29
| ~ spl40_50 ),
inference(resolution,[],[f10788,f9697]) ).
fof(f11498,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ spl40_5
| ~ spl40_29
| ~ spl40_50 ),
inference(forward_subsumption_resolution,[],[f11478,f7336]) ).
fof(f11507,plain,
( v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ spl40_5
| ~ spl40_23
| ~ spl40_29
| ~ spl40_50 ),
inference(forward_subsumption_resolution,[],[f11498,f9484]) ).
fof(f11514,plain,
( ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| spl40_2
| ~ spl40_5
| ~ spl40_23
| ~ spl40_29
| ~ spl40_50 ),
inference(forward_subsumption_resolution,[],[f11507,f3904]) ).
fof(f11522,plain,
( ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| spl40_2
| ~ spl40_5
| ~ spl40_12
| ~ spl40_23
| ~ spl40_29
| ~ spl40_50 ),
inference(forward_subsumption_resolution,[],[f11514,f7556]) ).
fof(f11528,plain,
( ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| spl40_2
| ~ spl40_5
| ~ spl40_12
| ~ spl40_19
| ~ spl40_23
| ~ spl40_29
| ~ spl40_50 ),
inference(forward_subsumption_resolution,[],[f11522,f7591]) ).
fof(f11533,plain,
( ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| spl40_2
| ~ spl40_5
| ~ spl40_9
| ~ spl40_12
| ~ spl40_19
| ~ spl40_23
| ~ spl40_29
| ~ spl40_50 ),
inference(forward_subsumption_resolution,[],[f11528,f7401]) ).
fof(f11538,plain,
( ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| spl40_2
| ~ spl40_5
| ~ spl40_9
| ~ spl40_12
| ~ spl40_14
| ~ spl40_19
| ~ spl40_23
| ~ spl40_29
| ~ spl40_50 ),
inference(forward_subsumption_resolution,[],[f11533,f7566]) ).
fof(f11543,plain,
( ~ l1_vectsp_2(sK3,sK2)
| spl40_2
| ~ spl40_5
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_14
| ~ spl40_19
| ~ spl40_23
| ~ spl40_29
| ~ spl40_50 ),
inference(forward_subsumption_resolution,[],[f11538,f7406]) ).
fof(f11548,plain,
( $false
| spl40_2
| ~ spl40_4
| ~ spl40_5
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_14
| ~ spl40_19
| ~ spl40_23
| ~ spl40_29
| ~ spl40_50 ),
inference(forward_subsumption_resolution,[],[f11543,f6132]) ).
fof(f11549,plain,
( spl40_2
| ~ spl40_4
| ~ spl40_5
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_14
| ~ spl40_19
| ~ spl40_23
| ~ spl40_29
| ~ spl40_50 ),
inference(avatar_contradiction_clause,[],[f11548]) ).
cnf(s1,plain,
~ spl40_1,
inference(sat_conversion,[],[f3900]) ).
cnf(s2,plain,
~ spl40_2,
inference(sat_conversion,[],[f3905]) ).
cnf(s4,plain,
spl40_4,
inference(sat_conversion,[],[f6133]) ).
cnf(s7,plain,
spl40_8,
inference(sat_conversion,[],[f7397]) ).
cnf(s8,plain,
spl40_9,
inference(sat_conversion,[],[f7402]) ).
cnf(s9,plain,
spl40_10,
inference(sat_conversion,[],[f7407]) ).
cnf(s11,plain,
spl40_12,
inference(sat_conversion,[],[f7557]) ).
cnf(s12,plain,
spl40_13,
inference(sat_conversion,[],[f7562]) ).
cnf(s13,plain,
spl40_14,
inference(sat_conversion,[],[f7567]) ).
cnf(s14,plain,
spl40_15,
inference(sat_conversion,[],[f7572]) ).
cnf(s15,plain,
spl40_16,
inference(sat_conversion,[],[f7577]) ).
cnf(s16,plain,
spl40_17,
inference(sat_conversion,[],[f7582]) ).
cnf(s17,plain,
spl40_18,
inference(sat_conversion,[],[f7587]) ).
cnf(s18,plain,
spl40_19,
inference(sat_conversion,[],[f7592]) ).
cnf(s19,plain,
spl40_20,
inference(sat_conversion,[],[f7692]) ).
cnf(s20,plain,
spl40_21,
inference(sat_conversion,[],[f8401]) ).
cnf(s21,plain,
spl40_22,
inference(sat_conversion,[],[f9119]) ).
cnf(s22,plain,
spl40_23,
inference(sat_conversion,[],[f9485]) ).
cnf(s27,plain,
( spl40_1
| spl40_29 ),
inference(sat_conversion,[],[f9698]) ).
cnf(s28,plain,
( spl40_1
| spl40_30 ),
inference(sat_conversion,[],[f9780]) ).
cnf(s29,plain,
( spl40_1
| spl40_2
| ~ spl40_4
| spl40_31 ),
inference(sat_conversion,[],[f9862]) ).
cnf(s36,plain,
( spl40_1
| spl40_2
| ~ spl40_4
| spl40_5
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_31
| spl40_44 ),
inference(sat_conversion,[],[f10589]) ).
cnf(s40,plain,
( spl40_49
| spl40_50 ),
inference(sat_conversion,[],[f10789]) ).
cnf(s41,plain,
( spl40_1
| spl40_2
| ~ spl40_4
| spl40_51 ),
inference(sat_conversion,[],[f10848]) ).
cnf(s46,plain,
( spl40_1
| spl40_2
| ~ spl40_4
| ~ spl40_8
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_13
| ~ spl40_14
| ~ spl40_15
| ~ spl40_16
| ~ spl40_17
| ~ spl40_18
| ~ spl40_19
| ~ spl40_20
| ~ spl40_21
| ~ spl40_22
| ~ spl40_44
| ~ spl40_51 ),
inference(sat_conversion,[],[f11043]) ).
cnf(s48,plain,
( spl40_2
| ~ spl40_4
| ~ spl40_5
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_14
| ~ spl40_19
| ~ spl40_23
| ~ spl40_30
| ~ spl40_49 ),
inference(sat_conversion,[],[f11154]) ).
cnf(s52,plain,
( spl40_2
| ~ spl40_4
| ~ spl40_5
| ~ spl40_9
| ~ spl40_10
| ~ spl40_12
| ~ spl40_14
| ~ spl40_19
| ~ spl40_23
| ~ spl40_29
| ~ spl40_50 ),
inference(sat_conversion,[],[f11549]) ).
cnf(s57,plain,
spl40_51,
inference(rat,[],[s41,s2,s4,s1]) ).
cnf(s62,plain,
spl40_31,
inference(rat,[],[s29,s2,s4,s1]) ).
cnf(s63,plain,
spl40_30,
inference(rat,[],[s28,s1]) ).
cnf(s64,plain,
spl40_29,
inference(rat,[],[s27,s1]) ).
cnf(s66,plain,
~ spl40_44,
inference(rat,[],[s46,s1,s2,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s9,s8,s7,s4,s57]) ).
cnf(s67,plain,
spl40_5,
inference(rat,[],[s36,s66,s1,s21,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s9,s8,s7,s2,s4,s62]) ).
cnf(s73,plain,
~ spl40_50,
inference(rat,[],[s52,s64,s2,s22,s18,s13,s11,s9,s8,s4,s67]) ).
cnf(s74,plain,
~ spl40_49,
inference(rat,[],[s48,s63,s2,s22,s18,s13,s11,s9,s8,s4,s67]) ).
cnf(s77,plain,
$false,
inference(rat,[],[s40,s73,s74]) ).
fof(f11587,plain,
$false,
inference(avatar_sat_refutation,[],[s77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG216+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n019.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:45:04 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.26/2.33 % (159101)Detected formulas, will run a generic FOF schedule.
% 10.26/2.33 % (159366)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=576608574:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 10.26/2.33 % (159367)dis-21_1_sil=8000:lcm=predicate:random_seed=1000906084:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 10.26/2.33 % (159364)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=232405364:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 10.26/2.33 % (159362)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=585864654:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 10.26/2.33 % (159359)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=3495027920:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 10.26/2.33 % (159361)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=2048284250:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 10.26/2.33 % (159360)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=4125965579:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 10.26/2.33 % (159366)Instruction limit reached!
% 10.26/2.33 % (159366)------------------------------
% 10.26/2.33 % (159366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.26/2.33 % (159366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.26/2.33 % (159366)CaDiCaL version: 2.1.3
% 10.26/2.33 % (159366)Termination reason: Instruction limit
% 10.26/2.33 % (159366)Termination phase: Preprocessing 3
% 10.26/2.33 % (159366)Time elapsed: 0.050 s
% 10.26/2.33 % (159366)Peak memory usage: 94 MB
% 10.26/2.33 % (159366)Instructions burned: 141 (million)
% 10.26/2.33 % (159362)Refutation not found, incomplete strategy
% 10.26/2.33 % (159362)------------------------------
% 10.26/2.33 % (159362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.26/2.33 % (159362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.26/2.33 % (159362)CaDiCaL version: 2.1.3
% 10.26/2.33 % (159362)Termination reason: Refutation not found, incomplete strategy
% 10.26/2.33 % (159362)Time elapsed: 0.020 s
% 10.26/2.33 % (159362)Peak memory usage: 93 MB
% 10.26/2.33 % (159362)Instructions burned: 28 (million)
% 10.26/2.33 % (159364)Instruction limit reached!
% 10.26/2.33 % (159364)------------------------------
% 10.26/2.33 % (159364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.26/2.33 % (159364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.26/2.33 % (159364)CaDiCaL version: 2.1.3
% 10.26/2.33 % (159364)Termination reason: Instruction limit
% 10.26/2.33 % (159364)Termination phase: Saturation
% 10.26/2.33 % (159364)Time elapsed: 0.070 s
% 10.26/2.33 % (159364)Peak memory usage: 93 MB
% 10.26/2.33 % (159364)Instructions burned: 119 (million)
% 10.26/2.33 % (159367)Instruction limit reached!
% 10.26/2.33 % (159367)------------------------------
% 10.26/2.33 % (159367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.26/2.33 % (159367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.26/2.33 % (159367)CaDiCaL version: 2.1.3
% 10.26/2.33 % (159367)Termination reason: Instruction limit
% 10.26/2.33 % (159367)Termination phase: Property scanning
% 10.26/2.33 % (159367)Time elapsed: 0.085 s
% 10.26/2.33 % (159367)Peak memory usage: 94 MB
% 10.26/2.33 % (159367)Instructions burned: 131 (million)
% 10.26/2.33 % (159432)lrs+10_1_sil=8000:sp=occurrence:random_seed=167043878:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.26/2.33 % (159459)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3270523654:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 10.26/2.33 % (159432)Instruction limit reached!
% 10.26/2.33 % (159432)------------------------------
% 10.26/2.33 % (159432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.26/2.33 % (159432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.26/2.33 % (159432)CaDiCaL version: 2.1.3
% 10.26/2.33 % (159432)Termination reason: Instruction limit
% 10.26/2.33 % (159432)Termination phase: Saturation
% 10.26/2.33 % (159432)Time elapsed: 0.099 s
% 8.83/2.61 % (159432)Peak memory usage: 97 MB
% 8.83/2.61 % (159432)Instructions burned: 287 (million)
% 8.83/2.61 % (159465)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2929021533:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 8.83/2.61 % (159465)Refutation not found, incomplete strategy
% 8.83/2.61 % (159465)------------------------------
% 8.83/2.61 % (159465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.61 % (159465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.61 % (159465)CaDiCaL version: 2.1.3
% 8.83/2.61 % (159465)Termination reason: Refutation not found, incomplete strategy
% 8.83/2.61 % (159465)Time elapsed: 0.017 s
% 8.83/2.61 % (159465)Peak memory usage: 93 MB
% 8.83/2.61 % (159465)Instructions burned: 21 (million)
% 8.83/2.61 % (159459)Refutation not found, incomplete strategy
% 8.83/2.61 % (159459)------------------------------
% 8.83/2.61 % (159459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.61 % (159459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.61 % (159459)CaDiCaL version: 2.1.3
% 8.83/2.61 % (159459)Termination reason: Refutation not found, incomplete strategy
% 8.83/2.61 % (159459)Time elapsed: 0.031 s
% 8.83/2.61 % (159459)Peak memory usage: 93 MB
% 8.83/2.61 % (159459)Instructions burned: 58 (million)
% 8.83/2.61 % (159362)------------------------------
% 8.83/2.61 % (159362)------------------------------
% 8.83/2.61 % (159520)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=3837206862:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.83/2.61 % (159520)Instruction limit reached!
% 8.83/2.61 % (159520)------------------------------
% 8.83/2.61 % (159520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.61 % (159520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.61 % (159520)CaDiCaL version: 2.1.3
% 8.83/2.61 % (159520)Termination reason: Instruction limit
% 8.83/2.61 % (159520)Termination phase: Function definition elimination
% 8.83/2.61 % (159520)Time elapsed: 0.077 s
% 8.83/2.61 % (159520)Peak memory usage: 96 MB
% 8.83/2.61 % (159520)Instructions burned: 249 (million)
% 8.83/2.61 % (159552)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3473601590:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 8.83/2.61 % (159597)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3722321270:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 8.83/2.61 % (159465)------------------------------
% 8.83/2.61 % (159465)------------------------------
% 8.83/2.61 % (159459)------------------------------
% 8.83/2.61 % (159459)------------------------------
% 8.83/2.61 % (159552)Instruction limit reached!
% 8.83/2.61 % (159552)------------------------------
% 8.83/2.61 % (159552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.61 % (159552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.61 % (159552)CaDiCaL version: 2.1.3
% 8.83/2.61 % (159552)Termination reason: Instruction limit
% 8.83/2.61 % (159552)Termination phase: Saturation
% 8.83/2.61 % (159552)Time elapsed: 0.160 s
% 8.83/2.61 % (159552)Peak memory usage: 96 MB
% 8.83/2.61 % (159552)Instructions burned: 295 (million)
% 8.83/2.61 % (159647)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4233644504:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 8.83/2.61 % (159650)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1033116339:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.83/2.61 % (159647)Instruction limit reached!
% 8.83/2.61 % (159647)------------------------------
% 8.83/2.61 % (159647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.61 % (159647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.61 % (159647)CaDiCaL version: 2.1.3
% 8.83/2.61 % (159647)Termination reason: Instruction limit
% 8.83/2.61 % (159647)Termination phase: Property scanning
% 8.83/2.61 % (159647)Time elapsed: 0.063 s
% 8.83/2.61 % (159647)Peak memory usage: 92 MB
% 8.83/2.61 % (159647)Instructions burned: 113 (million)
% 8.83/2.61 % (159650)Instruction limit reached!
% 8.83/2.61 % (159650)------------------------------
% 8.83/2.61 % (159650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.61 % (159650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.61 % (159650)CaDiCaL version: 2.1.3
% 8.83/2.61 % (159650)Termination reason: Instruction limit
% 8.83/2.61 % (159650)Termination phase: Property scanning
% 8.83/2.61 % (159650)Time elapsed: 0.082 s
% 8.83/2.61 % (159650)Peak memory usage: 96 MB
% 8.83/2.61 % (159650)Instructions burned: 128 (million)
% 8.83/2.61 % (159692)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1472122823:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.83/2.61 % (159692)Instruction limit reached!
% 8.83/2.61 % (159692)------------------------------
% 8.83/2.61 % (159692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.61 % (159692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.61 % (159692)CaDiCaL version: 2.1.3
% 8.83/2.61 % (159692)Termination reason: Instruction limit
% 8.83/2.61 % (159692)Termination phase: Preprocessing 3
% 8.83/2.61 % (159692)Time elapsed: 0.059 s
% 8.83/2.61 % (159692)Peak memory usage: 91 MB
% 8.83/2.61 % (159692)Instructions burned: 115 (million)
% 8.83/2.61 % (159737)lrs+10_1_sil=8000:sp=occurrence:random_seed=1027163146:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 8.83/2.61 % (159746)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2335727955:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.83/2.61 % (159780)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2071726466:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.83/2.61 % (159746)Instruction limit reached!
% 8.83/2.61 % (159746)------------------------------
% 8.83/2.61 % (159746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.61 % (159746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.61 % (159746)CaDiCaL version: 2.1.3
% 8.83/2.61 % (159746)Termination reason: Instruction limit
% 8.83/2.61 % (159746)Termination phase: Saturation
% 8.83/2.61 % (159746)Time elapsed: 0.196 s
% 8.83/2.61 % (159746)Peak memory usage: 94 MB
% 8.83/2.61 % (159746)Instructions burned: 437 (million)
% 8.83/2.61 % (159893)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1071442576:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 8.83/2.61 % (159893)Instruction limit reached!
% 8.83/2.61 % (159893)------------------------------
% 8.83/2.61 % (159893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.61 % (159893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.61 % (159893)CaDiCaL version: 2.1.3
% 8.83/2.61 % (159893)Termination reason: Instruction limit
% 8.83/2.61 % (159893)Termination phase: Saturation
% 8.83/2.61 % (159893)Time elapsed: 0.084 s
% 8.83/2.61 % (159893)Peak memory usage: 95 MB
% 8.83/2.61 % (159893)Instructions burned: 135 (million)
% 8.83/2.61 % (159597)Instruction limit reached!
% 8.83/2.61 % (159597)------------------------------
% 8.83/2.61 % (159597)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.61 % (159597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.61 % (159597)CaDiCaL version: 2.1.3
% 8.83/2.61 % (159597)Termination reason: Instruction limit
% 8.83/2.61 % (159597)Termination phase: Saturation
% 8.83/2.61 % (159597)Time elapsed: 0.799 s
% 8.83/2.61 % (159597)Peak memory usage: 182 MB
% 8.83/2.61 % (159597)Instructions burned: 2351 (million)
% 8.83/2.61 % (159737)Instruction limit reached!
% 8.83/2.61 % (159737)------------------------------
% 8.83/2.61 % (159737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.61 % (159737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.61 % (159737)CaDiCaL version: 2.1.3
% 8.83/2.61 % (159737)Termination reason: Instruction limit
% 8.83/2.61 % (159737)Termination phase: Saturation
% 8.83/2.61 % (159737)Time elapsed: 0.553 s
% 8.83/2.61 % (159737)Peak memory usage: 108 MB
% 8.83/2.61 % (159737)Instructions burned: 908 (million)
% 8.83/2.61 % (160003)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2181053579:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 8.83/2.61 % (159989)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=286829925:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 8.83/2.61 % (159361)First to succeed.
% 8.83/2.61 % (159361)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-159101"
% 8.83/2.61 % (159360)Also succeeded, but the first one will report.
% 8.83/2.61 % (160042)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=3157699135:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 8.83/2.61 % (160042)Instruction limit reached!
% 8.83/2.61 % (160042)------------------------------
% 8.83/2.61 % (160042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.61 % (160042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.61 % (160042)CaDiCaL version: 2.1.3
% 8.83/2.61 % (160042)Termination reason: Instruction limit
% 8.83/2.61 % (160042)Termination phase: Property scanning
% 8.83/2.61 % (160042)Time elapsed: 0.072 s
% 8.83/2.61 % (160042)Peak memory usage: 92 MB
% 8.83/2.61 % (160042)Instructions burned: 127 (million)
% 8.83/2.61 % (159989)Also succeeded, but the first one will report.
% 8.83/2.61 % (159361)Refutation found. Thanks to Tanya!
% 8.83/2.61 % SZS status Theorem for theBenchmark
% 8.83/2.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/2.81 % (159361)------------------------------
% 0.19/2.81 % (159361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.81 % (159361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.81 % (159361)CaDiCaL version: 2.1.3
% 0.19/2.81 % (159361)Termination reason: Refutation
% 0.19/2.81 % (159361)Time elapsed: 1.392 s
% 0.19/2.81 % (159361)Peak memory usage: 144 MB
% 0.19/2.81 % (159361)Instructions burned: 2366 (million)
% 0.19/2.81 % (159361)------------------------------
% 0.19/2.81 % (159361)------------------------------
% 0.19/2.81 % (159101)Success in time 1.952 s
% 0.19/2.81 % Vampire exiting
%------------------------------------------------------------------------------