%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG220+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 09:19:24 AM UTC 2026
% Result : Theorem 10.40s 3.61s
% Output : Refutation 18.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 38
% Syntax : Number of formulae : 426 ( 84 unt; 33 def)
% Number of atoms : 5727 ( 51 equ)
% Maximal formula atoms : 32 ( 13 avg)
% Number of connectives : 9746 (4445 ~;5032 |; 214 &)
% ( 33 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 15 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 54 ( 52 usr; 34 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 357 ( 0 sgn 349 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9719,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)
& v3_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v3_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& l1_vectsp_2(X2,X0) )
=> ( ( m1_rmod_2(X2,X0,X1)
& m1_rmod_2(X1,X0,X2) )
=> X2 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_rmod_2) ).
fof(f9784,axiom,
! [X0,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) )
=> ! [X2] :
( m1_rmod_2(X2,X0,X1)
=> ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X0)
& l1_vectsp_2(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_rmod_2) ).
fof(f9989,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)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(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))) )
=> ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_rmod_5) ).
fof(f10006,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)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(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,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( r1_tarski(X2,X3)
=> m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_rmod_5) ).
fof(f10007,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)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(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)
& v3_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( k1_rmod_5(X0,X1,X2) = X1
& r1_tarski(X2,X3) )
=> k1_rmod_5(X0,X1,X3) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_rmod_5) ).
fof(f10008,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)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(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)
& v3_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( k1_rmod_5(X0,X1,X2) = X1
& r1_tarski(X2,X3) )
=> k1_rmod_5(X0,X1,X3) = X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f10007]) ).
fof(f10034,plain,
! [X0,X1,X2] :
( ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(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,[],[f9989]) ).
fof(f10035,plain,
! [X0,X1,X2] :
( ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(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,[],[f10034]) ).
fof(f10062,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f10006]) ).
fof(f10063,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f10062]) ).
fof(f10064,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k1_rmod_5(X0,X1,X3) != X1
& k1_rmod_5(X0,X1,X2) = X1
& r1_tarski(X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_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)
& v3_vectsp_2(X1,X0)
& 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)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f10008]) ).
fof(f10065,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k1_rmod_5(X0,X1,X3) != X1
& k1_rmod_5(X0,X1,X2) = X1
& r1_tarski(X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_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)
& v3_vectsp_2(X1,X0)
& 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)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) ),
inference(flattening,[],[f10064]) ).
fof(f10088,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X1
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ 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,[],[f9719]) ).
fof(f10089,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X1
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ 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,[],[f10088]) ).
fof(f10100,plain,
! [X0,X1] :
( ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X0)
& l1_vectsp_2(X2,X0) )
| ~ m1_rmod_2(X2,X0,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) ),
inference(ennf_transformation,[],[f9784]) ).
fof(f10101,plain,
! [X0,X1] :
( ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X0)
& l1_vectsp_2(X2,X0) )
| ~ m1_rmod_2(X2,X0,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) ),
inference(flattening,[],[f10100]) ).
fof(f10237,plain,
( sK3 != k1_rmod_5(sK2,sK3,sK5)
& sK3 = k1_rmod_5(sK2,sK3,sK4)
& r1_tarski(sK4,sK5)
& m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK3)))
& m1_subset_1(sK4,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)
& v3_vectsp_2(sK3,sK2)
& 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)
& v7_group_1(sK2)
& v6_vectsp_1(sK2)
& v7_vectsp_1(sK2)
& v8_vectsp_1(sK2)
& ~ v10_vectsp_1(sK2)
& v2_vectsp_2(sK2)
& l3_vectsp_1(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f10065]) ).
fof(f10292,plain,
! [X2,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(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,[],[f10035]) ).
fof(f10293,plain,
! [X2,X0,X1] :
( v3_vectsp_2(k1_rmod_5(X0,X1,X2),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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(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,[],[f10035]) ).
fof(f10315,plain,
! [X2,X3,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f10063]) ).
fof(f10316,plain,
l3_vectsp_1(sK2),
inference(cnf_transformation,[],[f10237]) ).
fof(f10317,plain,
v2_vectsp_2(sK2),
inference(cnf_transformation,[],[f10237]) ).
fof(f10318,plain,
~ v10_vectsp_1(sK2),
inference(cnf_transformation,[],[f10237]) ).
fof(f10319,plain,
v8_vectsp_1(sK2),
inference(cnf_transformation,[],[f10237]) ).
fof(f10320,plain,
v7_vectsp_1(sK2),
inference(cnf_transformation,[],[f10237]) ).
fof(f10321,plain,
v6_vectsp_1(sK2),
inference(cnf_transformation,[],[f10237]) ).
fof(f10322,plain,
v7_group_1(sK2),
inference(cnf_transformation,[],[f10237]) ).
fof(f10323,plain,
v4_group_1(sK2),
inference(cnf_transformation,[],[f10237]) ).
fof(f10324,plain,
v6_rlvect_1(sK2),
inference(cnf_transformation,[],[f10237]) ).
fof(f10325,plain,
v5_rlvect_1(sK2),
inference(cnf_transformation,[],[f10237]) ).
fof(f10326,plain,
v4_rlvect_1(sK2),
inference(cnf_transformation,[],[f10237]) ).
fof(f10327,plain,
v3_rlvect_1(sK2),
inference(cnf_transformation,[],[f10237]) ).
fof(f10328,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f10237]) ).
fof(f10329,plain,
l1_vectsp_2(sK3,sK2),
inference(cnf_transformation,[],[f10237]) ).
fof(f10330,plain,
v5_vectsp_2(sK3,sK2),
inference(cnf_transformation,[],[f10237]) ).
fof(f10331,plain,
v3_vectsp_2(sK3,sK2),
inference(cnf_transformation,[],[f10237]) ).
fof(f10332,plain,
v6_rlvect_1(sK3),
inference(cnf_transformation,[],[f10237]) ).
fof(f10333,plain,
v5_rlvect_1(sK3),
inference(cnf_transformation,[],[f10237]) ).
fof(f10334,plain,
v4_rlvect_1(sK3),
inference(cnf_transformation,[],[f10237]) ).
fof(f10335,plain,
v3_rlvect_1(sK3),
inference(cnf_transformation,[],[f10237]) ).
fof(f10336,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f10237]) ).
fof(f10337,plain,
m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK3))),
inference(cnf_transformation,[],[f10237]) ).
fof(f10338,plain,
m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK3))),
inference(cnf_transformation,[],[f10237]) ).
fof(f10339,plain,
r1_tarski(sK4,sK5),
inference(cnf_transformation,[],[f10237]) ).
fof(f10340,plain,
sK3 = k1_rmod_5(sK2,sK3,sK4),
inference(cnf_transformation,[],[f10237]) ).
fof(f10341,plain,
sK3 != k1_rmod_5(sK2,sK3,sK5),
inference(cnf_transformation,[],[f10237]) ).
fof(f10376,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ 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,[],[f10089]) ).
fof(f10406,plain,
! [X2,X0,X1] :
( l1_vectsp_2(X2,X0)
| ~ m1_rmod_2(X2,X0,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) ),
inference(cnf_transformation,[],[f10101]) ).
fof(f10407,plain,
! [X2,X0,X1] :
( v5_vectsp_2(X2,X0)
| ~ m1_rmod_2(X2,X0,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) ),
inference(cnf_transformation,[],[f10101]) ).
fof(f10408,plain,
! [X2,X0,X1] :
( v6_rlvect_1(X2)
| ~ m1_rmod_2(X2,X0,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) ),
inference(cnf_transformation,[],[f10101]) ).
fof(f10409,plain,
! [X2,X0,X1] :
( v5_rlvect_1(X2)
| ~ m1_rmod_2(X2,X0,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) ),
inference(cnf_transformation,[],[f10101]) ).
fof(f10410,plain,
! [X2,X0,X1] :
( v4_rlvect_1(X2)
| ~ m1_rmod_2(X2,X0,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) ),
inference(cnf_transformation,[],[f10101]) ).
fof(f10411,plain,
! [X2,X0,X1] :
( v3_rlvect_1(X2)
| ~ m1_rmod_2(X2,X0,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) ),
inference(cnf_transformation,[],[f10101]) ).
fof(f10412,plain,
! [X2,X0,X1] :
( ~ v3_struct_0(X2)
| ~ m1_rmod_2(X2,X0,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) ),
inference(cnf_transformation,[],[f10101]) ).
fof(f10605,definition,
( spl52_1
<=> v3_struct_0(sK2) ),
introduced(definition,[new_symbols(definition,[spl52_1])],[avatar_definition]) ).
fof(f10607,plain,
( ~ v3_struct_0(sK2)
| spl52_1 ),
inference(avatar_component_clause,[],[f10605]) ).
fof(f10608,plain,
~ spl52_1,
inference(avatar_split_clause,[],[f10328,f10605]) ).
fof(f10610,definition,
( spl52_2
<=> v3_struct_0(sK3) ),
introduced(definition,[new_symbols(definition,[spl52_2])],[avatar_definition]) ).
fof(f10612,plain,
( ~ v3_struct_0(sK3)
| spl52_2 ),
inference(avatar_component_clause,[],[f10610]) ).
fof(f10613,plain,
~ spl52_2,
inference(avatar_split_clause,[],[f10336,f10610]) ).
fof(f10615,definition,
( spl52_3
<=> v10_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl52_3])],[avatar_definition]) ).
fof(f10617,plain,
( ~ v10_vectsp_1(sK2)
| spl52_3 ),
inference(avatar_component_clause,[],[f10615]) ).
fof(f10618,plain,
~ spl52_3,
inference(avatar_split_clause,[],[f10318,f10615]) ).
fof(f10620,definition,
( spl52_4
<=> sK3 = k1_rmod_5(sK2,sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl52_4])],[avatar_definition]) ).
fof(f10622,plain,
( sK3 = k1_rmod_5(sK2,sK3,sK4)
| ~ spl52_4 ),
inference(avatar_component_clause,[],[f10620]) ).
fof(f10623,plain,
spl52_4,
inference(avatar_split_clause,[],[f10340,f10620]) ).
fof(f10625,definition,
( spl52_5
<=> sK3 = k1_rmod_5(sK2,sK3,sK5) ),
introduced(definition,[new_symbols(definition,[spl52_5])],[avatar_definition]) ).
fof(f10627,plain,
( sK3 != k1_rmod_5(sK2,sK3,sK5)
| spl52_5 ),
inference(avatar_component_clause,[],[f10625]) ).
fof(f10628,plain,
~ spl52_5,
inference(avatar_split_clause,[],[f10341,f10625]) ).
fof(f10652,definition,
( spl52_6
<=> v3_vectsp_2(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl52_6])],[avatar_definition]) ).
fof(f10654,plain,
( v3_vectsp_2(sK3,sK2)
| ~ spl52_6 ),
inference(avatar_component_clause,[],[f10652]) ).
fof(f10655,plain,
spl52_6,
inference(avatar_split_clause,[],[f10331,f10652]) ).
fof(f10957,definition,
( spl52_7
<=> l1_vectsp_2(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl52_7])],[avatar_definition]) ).
fof(f10959,plain,
( l1_vectsp_2(sK3,sK2)
| ~ spl52_7 ),
inference(avatar_component_clause,[],[f10957]) ).
fof(f10960,plain,
spl52_7,
inference(avatar_split_clause,[],[f10329,f10957]) ).
fof(f10961,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),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)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(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(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| ~ spl52_7 ),
inference(resolution,[],[f10959,f10292]) ).
fof(f11176,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(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(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f10961,f10607]) ).
fof(f11281,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(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(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f11176,f10327]) ).
fof(f11386,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(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(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f11281,f10326]) ).
fof(f11491,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(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(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f11386,f10325]) ).
fof(f11596,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(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(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f11491,f10324]) ).
fof(f11701,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(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(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f11596,f10323]) ).
fof(f11806,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(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(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f11701,f10322]) ).
fof(f11911,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(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(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f11806,f10321]) ).
fof(f12016,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(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(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f11911,f10320]) ).
fof(f12121,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(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(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12016,f10319]) ).
fof(f12226,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ v2_vectsp_2(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(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| spl52_3
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12121,f10617]) ).
fof(f12331,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,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)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| spl52_3
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12226,f10317]) ).
fof(f12436,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,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)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| spl52_3
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12331,f10316]) ).
fof(f12541,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,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(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12436,f10612]) ).
fof(f12646,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12541,f10335]) ).
fof(f12751,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12646,f10334]) ).
fof(f12766,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12751,f10333]) ).
fof(f12781,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12766,f10332]) ).
fof(f12795,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12781,f10330]) ).
fof(f12819,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ m1_subset_1(sK4,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)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| ~ spl52_4 ),
inference(superposition,[],[f10315,f10622]) ).
fof(f12829,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ 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)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| ~ spl52_4 ),
inference(forward_subsumption_resolution,[],[f12819,f10337]) ).
fof(f12840,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ 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)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_2
| ~ spl52_4 ),
inference(forward_subsumption_resolution,[],[f12829,f10612]) ).
fof(f12851,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ 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)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_2
| ~ spl52_4 ),
inference(forward_subsumption_resolution,[],[f12840,f10335]) ).
fof(f12862,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ 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)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_2
| ~ spl52_4 ),
inference(forward_subsumption_resolution,[],[f12851,f10334]) ).
fof(f12873,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ 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)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_2
| ~ spl52_4 ),
inference(forward_subsumption_resolution,[],[f12862,f10333]) ).
fof(f12884,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(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)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_2
| ~ spl52_4 ),
inference(forward_subsumption_resolution,[],[f12873,f10332]) ).
fof(f12895,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ 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)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_2
| ~ spl52_4 ),
inference(forward_subsumption_resolution,[],[f12884,f10330]) ).
fof(f12906,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ 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)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_2
| ~ spl52_4
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12895,f10959]) ).
fof(f12917,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ 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)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| ~ spl52_4
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12906,f10607]) ).
fof(f12928,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ 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)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| ~ spl52_4
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12917,f10327]) ).
fof(f12939,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| ~ spl52_4
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12928,f10326]) ).
fof(f12950,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| ~ spl52_4
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12939,f10325]) ).
fof(f12961,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| ~ spl52_4
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12950,f10324]) ).
fof(f12972,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| ~ spl52_4
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12961,f10323]) ).
fof(f12983,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| ~ spl52_4
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12972,f10322]) ).
fof(f12994,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| ~ spl52_4
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12983,f10321]) ).
fof(f13005,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| ~ spl52_4
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f12994,f10320]) ).
fof(f13016,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| ~ spl52_4
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f13005,f10319]) ).
fof(f13027,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_4
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f13016,f10617]) ).
fof(f13038,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_4
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f13027,f10317]) ).
fof(f13049,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_4
| ~ spl52_7 ),
inference(forward_subsumption_resolution,[],[f13038,f10316]) ).
fof(f13062,plain,
( ! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK2,X0,X1),sK2,X0)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(resolution,[],[f10607,f10292]) ).
fof(f13064,plain,
( ! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK2,X0,X1),sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(resolution,[],[f10607,f10293]) ).
fof(f13541,plain,
( ! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK2,X0,X1),sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f13064,f10327]) ).
fof(f13543,plain,
( ! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK2,X0,X1),sK2,X0)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f13062,f10327]) ).
fof(f13777,plain,
( ! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK2,X0,X1),sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f13541,f10326]) ).
fof(f13779,plain,
( ! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK2,X0,X1),sK2,X0)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f13543,f10326]) ).
fof(f14013,plain,
( ! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK2,X0,X1),sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f13777,f10325]) ).
fof(f14015,plain,
( ! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK2,X0,X1),sK2,X0)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f13779,f10325]) ).
fof(f14249,plain,
( ! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK2,X0,X1),sK2)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f14013,f10324]) ).
fof(f14251,plain,
( ! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK2,X0,X1),sK2,X0)
| ~ v4_group_1(sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f14015,f10324]) ).
fof(f14380,plain,
( ! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK2,X0,X1),sK2)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f14249,f10323]) ).
fof(f14381,plain,
( ! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK2,X0,X1),sK2,X0)
| ~ v7_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f14251,f10323]) ).
fof(f14510,plain,
( ! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK2,X0,X1),sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f14380,f10322]) ).
fof(f14511,plain,
( ! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK2,X0,X1),sK2,X0)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f14381,f10322]) ).
fof(f14635,plain,
( ! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK2,X0,X1),sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f14510,f10321]) ).
fof(f14636,plain,
( ! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK2,X0,X1),sK2,X0)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f14511,f10321]) ).
fof(f14760,plain,
( ! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK2,X0,X1),sK2)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f14635,f10320]) ).
fof(f14761,plain,
( ! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK2,X0,X1),sK2,X0)
| ~ v8_vectsp_1(sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f14636,f10320]) ).
fof(f14885,plain,
( ! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK2,X0,X1),sK2)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f14760,f10319]) ).
fof(f14886,plain,
( ! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK2,X0,X1),sK2,X0)
| v10_vectsp_1(sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1 ),
inference(forward_subsumption_resolution,[],[f14761,f10319]) ).
fof(f14901,plain,
( ! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK2,X0,X1),sK2)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1
| spl52_3 ),
inference(forward_subsumption_resolution,[],[f14885,f10617]) ).
fof(f14902,plain,
( ! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK2,X0,X1),sK2,X0)
| ~ v2_vectsp_2(sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1
| spl52_3 ),
inference(forward_subsumption_resolution,[],[f14886,f10617]) ).
fof(f14917,plain,
( ! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK2,X0,X1),sK2)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1
| spl52_3 ),
inference(forward_subsumption_resolution,[],[f14901,f10317]) ).
fof(f14918,plain,
( ! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK2,X0,X1),sK2,X0)
| ~ l3_vectsp_1(sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1
| spl52_3 ),
inference(forward_subsumption_resolution,[],[f14902,f10317]) ).
fof(f14932,plain,
( ! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK2,X0,X1),sK2)
| 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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1
| spl52_3 ),
inference(forward_subsumption_resolution,[],[f14917,f10316]) ).
fof(f14933,plain,
( ! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK2,X0,X1),sK2,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)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| spl52_1
| spl52_3 ),
inference(forward_subsumption_resolution,[],[f14918,f10316]) ).
fof(f16170,definition,
( spl52_8
<=> v5_vectsp_2(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl52_8])],[avatar_definition]) ).
fof(f16172,plain,
( v5_vectsp_2(sK3,sK2)
| ~ spl52_8 ),
inference(avatar_component_clause,[],[f16170]) ).
fof(f16173,plain,
spl52_8,
inference(avatar_split_clause,[],[f10330,f16170]) ).
fof(f16604,definition,
( spl52_11
<=> r1_tarski(sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl52_11])],[avatar_definition]) ).
fof(f16606,plain,
( r1_tarski(sK4,sK5)
| ~ spl52_11 ),
inference(avatar_component_clause,[],[f16604]) ).
fof(f16607,plain,
spl52_11,
inference(avatar_split_clause,[],[f10339,f16604]) ).
fof(f16628,definition,
( spl52_12
<=> l3_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl52_12])],[avatar_definition]) ).
fof(f16630,plain,
( l3_vectsp_1(sK2)
| ~ spl52_12 ),
inference(avatar_component_clause,[],[f16628]) ).
fof(f16631,plain,
spl52_12,
inference(avatar_split_clause,[],[f10316,f16628]) ).
fof(f16633,definition,
( spl52_13
<=> v3_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl52_13])],[avatar_definition]) ).
fof(f16635,plain,
( v3_rlvect_1(sK3)
| ~ spl52_13 ),
inference(avatar_component_clause,[],[f16633]) ).
fof(f16636,plain,
spl52_13,
inference(avatar_split_clause,[],[f10335,f16633]) ).
fof(f16638,definition,
( spl52_14
<=> m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK3))) ),
introduced(definition,[new_symbols(definition,[spl52_14])],[avatar_definition]) ).
fof(f16640,plain,
( m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ spl52_14 ),
inference(avatar_component_clause,[],[f16638]) ).
fof(f16641,plain,
spl52_14,
inference(avatar_split_clause,[],[f10338,f16638]) ).
fof(f16829,definition,
( spl52_15
<=> v4_group_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl52_15])],[avatar_definition]) ).
fof(f16831,plain,
( v4_group_1(sK2)
| ~ spl52_15 ),
inference(avatar_component_clause,[],[f16829]) ).
fof(f16832,plain,
spl52_15,
inference(avatar_split_clause,[],[f10323,f16829]) ).
fof(f16834,definition,
( spl52_16
<=> v5_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl52_16])],[avatar_definition]) ).
fof(f16836,plain,
( v5_rlvect_1(sK3)
| ~ spl52_16 ),
inference(avatar_component_clause,[],[f16834]) ).
fof(f16837,plain,
spl52_16,
inference(avatar_split_clause,[],[f10333,f16834]) ).
fof(f16839,definition,
( spl52_17
<=> v6_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl52_17])],[avatar_definition]) ).
fof(f16841,plain,
( v6_rlvect_1(sK3)
| ~ spl52_17 ),
inference(avatar_component_clause,[],[f16839]) ).
fof(f16842,plain,
spl52_17,
inference(avatar_split_clause,[],[f10332,f16839]) ).
fof(f16844,definition,
( spl52_18
<=> v3_rlvect_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl52_18])],[avatar_definition]) ).
fof(f16846,plain,
( v3_rlvect_1(sK2)
| ~ spl52_18 ),
inference(avatar_component_clause,[],[f16844]) ).
fof(f16847,plain,
spl52_18,
inference(avatar_split_clause,[],[f10327,f16844]) ).
fof(f16849,definition,
( spl52_19
<=> v5_rlvect_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl52_19])],[avatar_definition]) ).
fof(f16851,plain,
( v5_rlvect_1(sK2)
| ~ spl52_19 ),
inference(avatar_component_clause,[],[f16849]) ).
fof(f16852,plain,
spl52_19,
inference(avatar_split_clause,[],[f10325,f16849]) ).
fof(f16854,definition,
( spl52_20
<=> v6_rlvect_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl52_20])],[avatar_definition]) ).
fof(f16856,plain,
( v6_rlvect_1(sK2)
| ~ spl52_20 ),
inference(avatar_component_clause,[],[f16854]) ).
fof(f16857,plain,
spl52_20,
inference(avatar_split_clause,[],[f10324,f16854]) ).
fof(f17927,definition,
( spl52_23
<=> v4_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl52_23])],[avatar_definition]) ).
fof(f17929,plain,
( v4_rlvect_1(sK3)
| ~ spl52_23 ),
inference(avatar_component_clause,[],[f17927]) ).
fof(f17930,plain,
spl52_23,
inference(avatar_split_clause,[],[f10334,f17927]) ).
fof(f17932,definition,
( spl52_24
<=> v6_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl52_24])],[avatar_definition]) ).
fof(f17934,plain,
( v6_vectsp_1(sK2)
| ~ spl52_24 ),
inference(avatar_component_clause,[],[f17932]) ).
fof(f17935,plain,
spl52_24,
inference(avatar_split_clause,[],[f10321,f17932]) ).
fof(f18839,definition,
( spl52_27
<=> v7_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl52_27])],[avatar_definition]) ).
fof(f18841,plain,
( v7_vectsp_1(sK2)
| ~ spl52_27 ),
inference(avatar_component_clause,[],[f18839]) ).
fof(f18842,plain,
spl52_27,
inference(avatar_split_clause,[],[f10320,f18839]) ).
fof(f19600,definition,
( spl52_28
<=> v8_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl52_28])],[avatar_definition]) ).
fof(f19602,plain,
( v8_vectsp_1(sK2)
| ~ spl52_28 ),
inference(avatar_component_clause,[],[f19600]) ).
fof(f19603,plain,
spl52_28,
inference(avatar_split_clause,[],[f10319,f19600]) ).
fof(f19728,definition,
( spl52_29
<=> v4_rlvect_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl52_29])],[avatar_definition]) ).
fof(f19730,plain,
( v4_rlvect_1(sK2)
| ~ spl52_29 ),
inference(avatar_component_clause,[],[f19728]) ).
fof(f19731,plain,
spl52_29,
inference(avatar_split_clause,[],[f10326,f19728]) ).
fof(f20310,definition,
( spl52_30
<=> ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) ) ),
introduced(definition,[new_symbols(definition,[spl52_30])],[avatar_definition]) ).
fof(f20311,plain,
( ! [X0] :
( m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| ~ spl52_30 ),
inference(avatar_component_clause,[],[f20310]) ).
fof(f20312,plain,
( spl52_30
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_7 ),
inference(avatar_split_clause,[],[f12795,f10957,f10615,f10610,f10605,f20310]) ).
fof(f20343,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),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)
| 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) )
| ~ spl52_30 ),
inference(resolution,[],[f20311,f10406]) ).
fof(f20344,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),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)
| 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) )
| ~ spl52_30 ),
inference(resolution,[],[f20311,f10407]) ).
fof(f20345,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| ~ spl52_30 ),
inference(resolution,[],[f20311,f10408]) ).
fof(f20346,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| ~ spl52_30 ),
inference(resolution,[],[f20311,f10409]) ).
fof(f20347,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| ~ spl52_30 ),
inference(resolution,[],[f20311,f10410]) ).
fof(f20348,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| ~ spl52_30 ),
inference(resolution,[],[f20311,f10411]) ).
fof(f20349,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,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) )
| ~ spl52_30 ),
inference(resolution,[],[f20311,f10412]) ).
fof(f20429,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20349,f10607]) ).
fof(f20430,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20348,f10607]) ).
fof(f20431,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20347,f10607]) ).
fof(f20432,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20346,f10607]) ).
fof(f20433,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20345,f10607]) ).
fof(f20434,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,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)
| 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) )
| spl52_1
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20344,f10607]) ).
fof(f20435,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,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)
| 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) )
| spl52_1
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20343,f10607]) ).
fof(f20501,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20429,f16846]) ).
fof(f20502,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20430,f16846]) ).
fof(f20503,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20431,f16846]) ).
fof(f20504,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20432,f16846]) ).
fof(f20505,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20433,f16846]) ).
fof(f20506,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,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)
| 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) )
| spl52_1
| ~ spl52_18
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20434,f16846]) ).
fof(f20507,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,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)
| 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) )
| spl52_1
| ~ spl52_18
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20435,f16846]) ).
fof(f20572,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20501,f19730]) ).
fof(f20573,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20502,f19730]) ).
fof(f20574,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20503,f19730]) ).
fof(f20575,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20504,f19730]) ).
fof(f20576,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20505,f19730]) ).
fof(f20577,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,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)
| 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) )
| spl52_1
| ~ spl52_18
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20506,f19730]) ).
fof(f20578,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,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)
| 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) )
| spl52_1
| ~ spl52_18
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20507,f19730]) ).
fof(f20643,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_19
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20572,f16851]) ).
fof(f20644,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_19
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20573,f16851]) ).
fof(f20645,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_19
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20574,f16851]) ).
fof(f20646,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_19
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20575,f16851]) ).
fof(f20647,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_19
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20576,f16851]) ).
fof(f20648,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,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)
| 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) )
| spl52_1
| ~ spl52_18
| ~ spl52_19
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20577,f16851]) ).
fof(f20649,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,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)
| 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) )
| spl52_1
| ~ spl52_18
| ~ spl52_19
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20578,f16851]) ).
fof(f20714,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20643,f16856]) ).
fof(f20715,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20644,f16856]) ).
fof(f20716,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20645,f16856]) ).
fof(f20717,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20646,f16856]) ).
fof(f20718,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20647,f16856]) ).
fof(f20719,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),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) )
| spl52_1
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20648,f16856]) ).
fof(f20720,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),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) )
| spl52_1
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20649,f16856]) ).
fof(f20785,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20714,f16831]) ).
fof(f20786,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20715,f16831]) ).
fof(f20787,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20716,f16831]) ).
fof(f20788,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20717,f16831]) ).
fof(f20789,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20718,f16831]) ).
fof(f20790,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20719,f16831]) ).
fof(f20791,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20720,f16831]) ).
fof(f20856,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20785,f17934]) ).
fof(f20857,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20786,f17934]) ).
fof(f20858,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20787,f17934]) ).
fof(f20859,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20788,f17934]) ).
fof(f20860,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20789,f17934]) ).
fof(f20861,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20790,f17934]) ).
fof(f20862,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20791,f17934]) ).
fof(f20927,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20856,f18841]) ).
fof(f20928,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20857,f18841]) ).
fof(f20929,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20858,f18841]) ).
fof(f20930,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20859,f18841]) ).
fof(f20931,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20860,f18841]) ).
fof(f20932,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20861,f18841]) ).
fof(f20933,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20862,f18841]) ).
fof(f20998,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20927,f19602]) ).
fof(f20999,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20928,f19602]) ).
fof(f21000,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20929,f19602]) ).
fof(f21001,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20930,f19602]) ).
fof(f21002,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20931,f19602]) ).
fof(f21003,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20932,f19602]) ).
fof(f21004,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),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) )
| spl52_1
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20933,f19602]) ).
fof(f21069,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_12
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20998,f16630]) ).
fof(f21070,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_12
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f20999,f16630]) ).
fof(f21071,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_12
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21000,f16630]) ).
fof(f21072,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_12
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21001,f16630]) ).
fof(f21073,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| ~ spl52_12
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21002,f16630]) ).
fof(f21074,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),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) )
| spl52_1
| ~ spl52_12
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21003,f16630]) ).
fof(f21075,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),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) )
| spl52_1
| ~ spl52_12
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21004,f16630]) ).
fof(f21139,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21069,f10612]) ).
fof(f21140,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21070,f10612]) ).
fof(f21141,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21071,f10612]) ).
fof(f21142,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21072,f10612]) ).
fof(f21143,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,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) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21073,f10612]) ).
fof(f21144,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ 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) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21074,f10612]) ).
fof(f21145,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ 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) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21075,f10612]) ).
fof(f21205,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,X0))
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21139,f16635]) ).
fof(f21206,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21140,f16635]) ).
fof(f21207,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21141,f16635]) ).
fof(f21208,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21142,f16635]) ).
fof(f21209,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21143,f16635]) ).
fof(f21210,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21144,f16635]) ).
fof(f21211,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21145,f16635]) ).
fof(f21271,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,X0))
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21205,f17929]) ).
fof(f21272,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21206,f17929]) ).
fof(f21273,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21207,f17929]) ).
fof(f21274,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21208,f17929]) ).
fof(f21275,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21209,f17929]) ).
fof(f21276,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21210,f17929]) ).
fof(f21277,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21211,f17929]) ).
fof(f21337,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,X0))
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21271,f16836]) ).
fof(f21338,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21272,f16836]) ).
fof(f21339,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21273,f16836]) ).
fof(f21340,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21274,f16836]) ).
fof(f21341,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21275,f16836]) ).
fof(f21342,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21276,f16836]) ).
fof(f21343,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21277,f16836]) ).
fof(f21403,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,X0))
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21337,f16841]) ).
fof(f21404,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21338,f16841]) ).
fof(f21405,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21339,f16841]) ).
fof(f21406,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21340,f16841]) ).
fof(f21407,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21341,f16841]) ).
fof(f21408,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21342,f16841]) ).
fof(f21409,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21343,f16841]) ).
fof(f21469,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,X0))
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21403,f16172]) ).
fof(f21470,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21404,f16172]) ).
fof(f21471,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21405,f16172]) ).
fof(f21472,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21406,f16172]) ).
fof(f21473,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21407,f16172]) ).
fof(f21474,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21408,f16172]) ).
fof(f21475,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl52_1
| spl52_2
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21409,f16172]) ).
fof(f21535,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,X0)) )
| spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21469,f10959]) ).
fof(f21536,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,X0)) )
| spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21470,f10959]) ).
fof(f21537,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,X0)) )
| spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21471,f10959]) ).
fof(f21538,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,X0)) )
| spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21472,f10959]) ).
fof(f21539,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,X0)) )
| spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21473,f10959]) ).
fof(f21540,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2) )
| spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21474,f10959]) ).
fof(f21541,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2) )
| spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(forward_subsumption_resolution,[],[f21475,f10959]) ).
fof(f21626,definition,
( spl52_31
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2) ) ),
introduced(definition,[new_symbols(definition,[spl52_31])],[avatar_definition]) ).
fof(f21627,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2) )
| ~ spl52_31 ),
inference(avatar_component_clause,[],[f21626]) ).
fof(f21628,plain,
( spl52_31
| spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f21541,f20310,f19728,f19600,f18839,f17932,f17927,f16854,f16849,f16844,f16839,f16834,f16829,f16633,f16628,f16170,f10957,f10610,f10605,f21626]) ).
fof(f21630,definition,
( spl52_32
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2) ) ),
introduced(definition,[new_symbols(definition,[spl52_32])],[avatar_definition]) ).
fof(f21631,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2) )
| ~ spl52_32 ),
inference(avatar_component_clause,[],[f21630]) ).
fof(f21632,plain,
( spl52_32
| spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f21540,f20310,f19728,f19600,f18839,f17932,f17927,f16854,f16849,f16844,f16839,f16834,f16829,f16633,f16628,f16170,f10957,f10610,f10605,f21630]) ).
fof(f21634,definition,
( spl52_33
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl52_33])],[avatar_definition]) ).
fof(f21635,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_rlvect_1(k1_rmod_5(sK2,sK3,X0)) )
| ~ spl52_33 ),
inference(avatar_component_clause,[],[f21634]) ).
fof(f21636,plain,
( spl52_33
| spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f21536,f20310,f19728,f19600,f18839,f17932,f17927,f16854,f16849,f16844,f16839,f16834,f16829,f16633,f16628,f16170,f10957,f10610,f10605,f21634]) ).
fof(f21638,definition,
( spl52_34
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl52_34])],[avatar_definition]) ).
fof(f21639,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v5_rlvect_1(k1_rmod_5(sK2,sK3,X0)) )
| ~ spl52_34 ),
inference(avatar_component_clause,[],[f21638]) ).
fof(f21640,plain,
( spl52_34
| spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f21538,f20310,f19728,f19600,f18839,f17932,f17927,f16854,f16849,f16844,f16839,f16834,f16829,f16633,f16628,f16170,f10957,f10610,f10605,f21638]) ).
fof(f21642,definition,
( spl52_35
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl52_35])],[avatar_definition]) ).
fof(f21643,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v6_rlvect_1(k1_rmod_5(sK2,sK3,X0)) )
| ~ spl52_35 ),
inference(avatar_component_clause,[],[f21642]) ).
fof(f21644,plain,
( spl52_35
| spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f21539,f20310,f19728,f19600,f18839,f17932,f17927,f16854,f16849,f16844,f16839,f16834,f16829,f16633,f16628,f16170,f10957,f10610,f10605,f21642]) ).
fof(f22146,definition,
( spl52_41
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl52_41])],[avatar_definition]) ).
fof(f22147,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v4_rlvect_1(k1_rmod_5(sK2,sK3,X0)) )
| ~ spl52_41 ),
inference(avatar_component_clause,[],[f22146]) ).
fof(f22148,plain,
( spl52_41
| spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f21537,f20310,f19728,f19600,f18839,f17932,f17927,f16854,f16849,f16844,f16839,f16834,f16829,f16633,f16628,f16170,f10957,f10610,f10605,f22146]) ).
fof(f22394,definition,
( spl52_45
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl52_45])],[avatar_definition]) ).
fof(f22395,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_struct_0(k1_rmod_5(sK2,sK3,X0)) )
| ~ spl52_45 ),
inference(avatar_component_clause,[],[f22394]) ).
fof(f22396,plain,
( spl52_45
| spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f21535,f20310,f19728,f19600,f18839,f17932,f17927,f16854,f16849,f16844,f16839,f16834,f16829,f16633,f16628,f16170,f10957,f10610,f10605,f22394]) ).
fof(f22448,definition,
( spl52_50
<=> ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) ) ),
introduced(definition,[new_symbols(definition,[spl52_50])],[avatar_definition]) ).
fof(f22449,plain,
( ! [X0] :
( m1_rmod_2(sK3,sK2,k1_rmod_5(sK2,sK3,X0))
| ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| ~ spl52_50 ),
inference(avatar_component_clause,[],[f22448]) ).
fof(f22450,plain,
( spl52_50
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_4
| ~ spl52_7 ),
inference(avatar_split_clause,[],[f13049,f10957,f10620,f10615,f10610,f10605,f22448]) ).
fof(f22464,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ m1_rmod_2(k1_rmod_5(sK2,sK3,X0),sK2,sK3)
| v3_struct_0(k1_rmod_5(sK2,sK3,X0))
| ~ v3_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v4_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v6_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v3_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v3_vectsp_2(sK3,sK2)
| ~ 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) )
| ~ spl52_50 ),
inference(resolution,[],[f22449,f10376]) ).
fof(f22566,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| v3_struct_0(k1_rmod_5(sK2,sK3,X0))
| ~ v3_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v4_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v6_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v3_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v3_vectsp_2(sK3,sK2)
| ~ 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) )
| spl52_1
| spl52_3
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f22464,f14933]) ).
fof(f22614,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| v3_struct_0(k1_rmod_5(sK2,sK3,X0))
| ~ v3_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v4_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v6_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v3_vectsp_2(sK3,sK2)
| ~ 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) )
| spl52_1
| spl52_3
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f22566,f14932]) ).
fof(f22662,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ v3_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v4_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v6_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v3_vectsp_2(sK3,sK2)
| ~ 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) )
| spl52_1
| spl52_3
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f22614,f22395]) ).
fof(f22710,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ v4_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v6_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v3_vectsp_2(sK3,sK2)
| ~ 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) )
| spl52_1
| spl52_3
| ~ spl52_33
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f22662,f21635]) ).
fof(f22758,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ v5_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v6_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v3_vectsp_2(sK3,sK2)
| ~ 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) )
| spl52_1
| spl52_3
| ~ spl52_33
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f22710,f22147]) ).
fof(f22806,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ v6_rlvect_1(k1_rmod_5(sK2,sK3,X0))
| ~ v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v3_vectsp_2(sK3,sK2)
| ~ 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) )
| spl52_1
| spl52_3
| ~ spl52_33
| ~ spl52_34
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f22758,f21639]) ).
fof(f22854,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ v5_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| ~ l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v3_vectsp_2(sK3,sK2)
| ~ 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) )
| spl52_1
| spl52_3
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f22806,f21643]) ).
fof(f22902,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ l1_vectsp_2(k1_rmod_5(sK2,sK3,X0),sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v3_vectsp_2(sK3,sK2)
| ~ 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) )
| spl52_1
| spl52_3
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f22854,f21631]) ).
fof(f22950,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v3_vectsp_2(sK3,sK2)
| ~ 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) )
| spl52_1
| spl52_3
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f22902,f21627]) ).
fof(f22998,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v3_vectsp_2(sK3,sK2)
| ~ 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) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f22950,f10612]) ).
fof(f23045,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v3_vectsp_2(sK3,sK2)
| ~ 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) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_13
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f22998,f16635]) ).
fof(f23092,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v3_vectsp_2(sK3,sK2)
| ~ 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) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_13
| ~ spl52_23
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f23045,f17929]) ).
fof(f23139,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ v6_rlvect_1(sK3)
| ~ v3_vectsp_2(sK3,sK2)
| ~ 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) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_13
| ~ spl52_16
| ~ spl52_23
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f23092,f16836]) ).
fof(f23186,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ v3_vectsp_2(sK3,sK2)
| ~ 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) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_13
| ~ spl52_16
| ~ spl52_17
| ~ spl52_23
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f23139,f16841]) ).
fof(f23233,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ 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) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_6
| ~ spl52_13
| ~ spl52_16
| ~ spl52_17
| ~ spl52_23
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f23186,f10654]) ).
fof(f23280,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ 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) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_6
| ~ spl52_8
| ~ spl52_13
| ~ spl52_16
| ~ spl52_17
| ~ spl52_23
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f23233,f16172]) ).
fof(f23327,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,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) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_6
| ~ spl52_7
| ~ spl52_8
| ~ spl52_13
| ~ spl52_16
| ~ spl52_17
| ~ spl52_23
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f23280,f10959]) ).
fof(f23352,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,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) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_6
| ~ spl52_7
| ~ spl52_8
| ~ spl52_13
| ~ spl52_16
| ~ spl52_17
| ~ spl52_23
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f23327,f10607]) ).
fof(f23369,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,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) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_6
| ~ spl52_7
| ~ spl52_8
| ~ spl52_13
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_23
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f23352,f16846]) ).
fof(f23378,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,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) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_6
| ~ spl52_7
| ~ spl52_8
| ~ spl52_13
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_23
| ~ spl52_29
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f23369,f19730]) ).
fof(f23384,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,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) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_6
| ~ spl52_7
| ~ spl52_8
| ~ spl52_13
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_23
| ~ spl52_29
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f23378,f16851]) ).
fof(f23389,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_6
| ~ spl52_7
| ~ spl52_8
| ~ spl52_13
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_29
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f23384,f16856]) ).
fof(f23393,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_6
| ~ spl52_7
| ~ spl52_8
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_29
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f23389,f16831]) ).
fof(f23397,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_6
| ~ spl52_7
| ~ spl52_8
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_29
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f23393,f17934]) ).
fof(f23400,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_6
| ~ spl52_7
| ~ spl52_8
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_29
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f23397,f18841]) ).
fof(f23403,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ l3_vectsp_1(sK2) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_6
| ~ spl52_7
| ~ spl52_8
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f23400,f19602]) ).
fof(f23406,plain,
( ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0) )
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_6
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(forward_subsumption_resolution,[],[f23403,f16630]) ).
fof(f23413,definition,
( spl52_51
<=> ! [X0] :
( ~ r1_tarski(sK4,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| sK3 = k1_rmod_5(sK2,sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl52_51])],[avatar_definition]) ).
fof(f23414,plain,
( ! [X0] :
( sK3 = k1_rmod_5(sK2,sK3,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ r1_tarski(sK4,X0) )
| ~ spl52_51 ),
inference(avatar_component_clause,[],[f23413]) ).
fof(f23415,plain,
( spl52_51
| spl52_1
| spl52_2
| spl52_3
| ~ spl52_6
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50 ),
inference(avatar_split_clause,[],[f23406,f22448,f22394,f22146,f21642,f21638,f21634,f21630,f21626,f19728,f19600,f18839,f17932,f17927,f16854,f16849,f16844,f16839,f16834,f16829,f16633,f16628,f16170,f10957,f10652,f10615,f10610,f10605,f23413]) ).
fof(f23424,plain,
( sK3 != sK3
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ r1_tarski(sK4,sK5)
| spl52_5
| ~ spl52_51 ),
inference(superposition,[],[f10627,f23414]) ).
fof(f23454,plain,
( ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ r1_tarski(sK4,sK5)
| spl52_5
| ~ spl52_51 ),
inference(trivial_inequality_removal,[],[f23424]) ).
fof(f23473,plain,
( ~ r1_tarski(sK4,sK5)
| spl52_5
| ~ spl52_14
| ~ spl52_51 ),
inference(forward_subsumption_resolution,[],[f23454,f16640]) ).
fof(f23487,plain,
( $false
| spl52_5
| ~ spl52_11
| ~ spl52_14
| ~ spl52_51 ),
inference(forward_subsumption_resolution,[],[f23473,f16606]) ).
fof(f23488,plain,
( spl52_5
| ~ spl52_11
| ~ spl52_14
| ~ spl52_51 ),
inference(avatar_contradiction_clause,[],[f23487]) ).
cnf(s1,plain,
~ spl52_1,
inference(sat_conversion,[],[f10608]) ).
cnf(s2,plain,
~ spl52_2,
inference(sat_conversion,[],[f10613]) ).
cnf(s3,plain,
~ spl52_3,
inference(sat_conversion,[],[f10618]) ).
cnf(s4,plain,
spl52_4,
inference(sat_conversion,[],[f10623]) ).
cnf(s5,plain,
~ spl52_5,
inference(sat_conversion,[],[f10628]) ).
cnf(s6,plain,
spl52_6,
inference(sat_conversion,[],[f10655]) ).
cnf(s7,plain,
spl52_7,
inference(sat_conversion,[],[f10960]) ).
cnf(s8,plain,
spl52_8,
inference(sat_conversion,[],[f16173]) ).
cnf(s11,plain,
spl52_11,
inference(sat_conversion,[],[f16607]) ).
cnf(s12,plain,
spl52_12,
inference(sat_conversion,[],[f16631]) ).
cnf(s13,plain,
spl52_13,
inference(sat_conversion,[],[f16636]) ).
cnf(s14,plain,
spl52_14,
inference(sat_conversion,[],[f16641]) ).
cnf(s15,plain,
spl52_15,
inference(sat_conversion,[],[f16832]) ).
cnf(s16,plain,
spl52_16,
inference(sat_conversion,[],[f16837]) ).
cnf(s17,plain,
spl52_17,
inference(sat_conversion,[],[f16842]) ).
cnf(s18,plain,
spl52_18,
inference(sat_conversion,[],[f16847]) ).
cnf(s19,plain,
spl52_19,
inference(sat_conversion,[],[f16852]) ).
cnf(s20,plain,
spl52_20,
inference(sat_conversion,[],[f16857]) ).
cnf(s23,plain,
spl52_23,
inference(sat_conversion,[],[f17930]) ).
cnf(s24,plain,
spl52_24,
inference(sat_conversion,[],[f17935]) ).
cnf(s27,plain,
spl52_27,
inference(sat_conversion,[],[f18842]) ).
cnf(s28,plain,
spl52_28,
inference(sat_conversion,[],[f19603]) ).
cnf(s29,plain,
spl52_29,
inference(sat_conversion,[],[f19731]) ).
cnf(s30,plain,
( spl52_1
| spl52_2
| spl52_3
| ~ spl52_7
| spl52_30 ),
inference(sat_conversion,[],[f20312]) ).
cnf(s31,plain,
( spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30
| spl52_31 ),
inference(sat_conversion,[],[f21628]) ).
cnf(s32,plain,
( spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30
| spl52_32 ),
inference(sat_conversion,[],[f21632]) ).
cnf(s33,plain,
( spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30
| spl52_33 ),
inference(sat_conversion,[],[f21636]) ).
cnf(s34,plain,
( spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30
| spl52_34 ),
inference(sat_conversion,[],[f21640]) ).
cnf(s35,plain,
( spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30
| spl52_35 ),
inference(sat_conversion,[],[f21644]) ).
cnf(s40,plain,
( spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30
| spl52_41 ),
inference(sat_conversion,[],[f22148]) ).
cnf(s44,plain,
( spl52_1
| spl52_2
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_30
| spl52_45 ),
inference(sat_conversion,[],[f22396]) ).
cnf(s49,plain,
( spl52_1
| spl52_2
| spl52_3
| ~ spl52_4
| ~ spl52_7
| spl52_50 ),
inference(sat_conversion,[],[f22450]) ).
cnf(s50,plain,
( spl52_1
| spl52_2
| spl52_3
| ~ spl52_6
| ~ spl52_7
| ~ spl52_8
| ~ spl52_12
| ~ spl52_13
| ~ spl52_15
| ~ spl52_16
| ~ spl52_17
| ~ spl52_18
| ~ spl52_19
| ~ spl52_20
| ~ spl52_23
| ~ spl52_24
| ~ spl52_27
| ~ spl52_28
| ~ spl52_29
| ~ spl52_31
| ~ spl52_32
| ~ spl52_33
| ~ spl52_34
| ~ spl52_35
| ~ spl52_41
| ~ spl52_45
| ~ spl52_50
| spl52_51 ),
inference(sat_conversion,[],[f23415]) ).
cnf(s51,plain,
( spl52_5
| ~ spl52_11
| ~ spl52_14
| ~ spl52_51 ),
inference(sat_conversion,[],[f23488]) ).
cnf(s53,plain,
~ spl52_51,
inference(rat,[],[s51,s11,s14,s5]) ).
cnf(s54,plain,
spl52_50,
inference(rat,[],[s49,s2,s7,s4,s3,s1]) ).
cnf(s55,plain,
spl52_30,
inference(rat,[],[s30,s2,s7,s3,s1]) ).
cnf(s62,plain,
spl52_45,
inference(rat,[],[s44,s1,s2,s29,s28,s27,s24,s23,s20,s19,s18,s17,s16,s15,s13,s12,s8,s7,s55]) ).
cnf(s64,plain,
spl52_41,
inference(rat,[],[s40,s1,s2,s29,s28,s27,s24,s23,s20,s19,s18,s17,s16,s15,s13,s12,s8,s7,s55]) ).
cnf(s65,plain,
spl52_35,
inference(rat,[],[s35,s1,s2,s29,s28,s27,s24,s23,s20,s19,s18,s17,s16,s15,s13,s12,s8,s7,s55]) ).
cnf(s66,plain,
spl52_34,
inference(rat,[],[s34,s1,s2,s29,s28,s27,s24,s23,s20,s19,s18,s17,s16,s15,s13,s12,s8,s7,s55]) ).
cnf(s67,plain,
spl52_33,
inference(rat,[],[s33,s1,s2,s29,s28,s27,s24,s23,s20,s19,s18,s17,s16,s15,s13,s12,s8,s7,s55]) ).
cnf(s68,plain,
spl52_32,
inference(rat,[],[s32,s1,s2,s29,s28,s27,s24,s23,s20,s19,s18,s17,s16,s15,s13,s12,s8,s7,s55]) ).
cnf(s69,plain,
spl52_31,
inference(rat,[],[s31,s1,s2,s29,s28,s27,s24,s23,s20,s19,s18,s17,s16,s15,s13,s12,s8,s7,s55]) ).
cnf(s71,plain,
$false,
inference(rat,[],[s50,s53,s54,s62,s64,s65,s66,s67,s1,s2,s29,s28,s27,s24,s23,s20,s19,s18,s17,s16,s15,s13,s12,s8,s7,s6,s3,s68,s69]) ).
fof(f23688,plain,
$false,
inference(avatar_sat_refutation,[],[s71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG220+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n013.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 19:46:23 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 14.38/3.05 % (1491534)Detected formulas, will run a generic FOF schedule.
% 14.38/3.05 % (1491543)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1313074720:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 14.38/3.05 % (1491542)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4018063604:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 14.38/3.05 % (1491544)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=277021209:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 14.38/3.05 % (1491539)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=2998058815:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 14.38/3.05 % (1491541)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=4212026144:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 14.38/3.05 % (1491540)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=3578576106:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 14.38/3.05 % (1491545)dis-21_1_sil=8000:lcm=predicate:random_seed=4109794681:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 14.38/3.05 % (1491543)Instruction limit reached!
% 14.38/3.05 % (1491543)------------------------------
% 14.38/3.05 % (1491543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.05 % (1491543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.05 % (1491543)CaDiCaL version: 2.1.3
% 14.38/3.05 % (1491543)Termination reason: Instruction limit
% 14.38/3.05 % (1491543)Termination phase: Property scanning
% 14.38/3.05 % (1491543)Time elapsed: 0.055 s
% 14.38/3.05 % (1491543)Peak memory usage: 101 MB
% 14.38/3.05 % (1491543)Instructions burned: 121 (million)
% 14.38/3.05 % (1491544)Instruction limit reached!
% 14.38/3.05 % (1491544)------------------------------
% 14.38/3.05 % (1491544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.05 % (1491544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.05 % (1491544)CaDiCaL version: 2.1.3
% 14.38/3.05 % (1491544)Termination reason: Instruction limit
% 14.38/3.05 % (1491544)Termination phase: SInE selection
% 14.38/3.05 % (1491544)Time elapsed: 0.066 s
% 14.38/3.05 % (1491544)Peak memory usage: 97 MB
% 14.38/3.05 % (1491544)Instructions burned: 139 (million)
% 14.38/3.05 % (1491542)Instruction limit reached!
% 14.38/3.05 % (1491542)------------------------------
% 14.38/3.05 % (1491542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.05 % (1491542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.05 % (1491542)CaDiCaL version: 2.1.3
% 14.38/3.05 % (1491542)Termination reason: Instruction limit
% 14.38/3.05 % (1491542)Termination phase: Saturation
% 14.38/3.05 % (1491542)Time elapsed: 0.079 s
% 14.38/3.05 % (1491542)Peak memory usage: 101 MB
% 14.38/3.05 % (1491542)Instructions burned: 110 (million)
% 14.38/3.05 % (1491545)Instruction limit reached!
% 14.38/3.05 % (1491545)------------------------------
% 14.38/3.05 % (1491545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.05 % (1491545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.05 % (1491545)CaDiCaL version: 2.1.3
% 14.38/3.05 % (1491545)Termination reason: Instruction limit
% 14.38/3.05 % (1491545)Termination phase: Unused predicate definition removal
% 14.38/3.05 % (1491545)Time elapsed: 0.099 s
% 14.38/3.05 % (1491545)Peak memory usage: 98 MB
% 14.38/3.05 % (1491545)Instructions burned: 129 (million)
% 14.38/3.05 % (1491553)lrs+10_1_sil=8000:sp=occurrence:random_seed=646353210:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 14.38/3.05 % (1491554)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3086682115:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 14.38/3.05 % (1491555)lrs+1011_1_sil=32000:sp=occurrence:random_seed=17760152:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 14.38/3.05 % (1491553)Instruction limit reached!
% 14.38/3.05 % (1491553)------------------------------
% 14.38/3.05 % (1491553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.05 % (1491553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/3.61 % (1491553)CaDiCaL version: 2.1.3
% 10.40/3.61 % (1491553)Termination reason: Instruction limit
% 10.40/3.61 % (1491553)Termination phase: Saturation
% 10.40/3.61 % (1491553)Time elapsed: 0.105 s
% 10.40/3.61 % (1491553)Peak memory usage: 105 MB
% 10.40/3.61 % (1491553)Instructions burned: 287 (million)
% 10.40/3.61 % (1491556)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=1959722741:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 10.40/3.61 % (1491554)Instruction limit reached!
% 10.40/3.61 % (1491554)------------------------------
% 10.40/3.61 % (1491554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/3.61 % (1491554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/3.61 % (1491554)CaDiCaL version: 2.1.3
% 10.40/3.61 % (1491554)Termination reason: Instruction limit
% 10.40/3.61 % (1491554)Termination phase: SInE selection
% 10.40/3.61 % (1491554)Time elapsed: 0.082 s
% 10.40/3.61 % (1491554)Peak memory usage: 97 MB
% 10.40/3.61 % (1491554)Instructions burned: 158 (million)
% 10.40/3.61 % (1491560)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3340226486:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 10.40/3.61 % (1491556)Instruction limit reached!
% 10.40/3.61 % (1491556)------------------------------
% 10.40/3.61 % (1491556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/3.61 % (1491556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/3.61 % (1491556)CaDiCaL version: 2.1.3
% 10.40/3.61 % (1491556)Termination reason: Instruction limit
% 10.40/3.61 % (1491556)Termination phase: Preprocessing 1
% 10.40/3.61 % (1491556)Time elapsed: 0.141 s
% 10.40/3.61 % (1491556)Peak memory usage: 98 MB
% 10.40/3.61 % (1491556)Instructions burned: 248 (million)
% 10.40/3.61 % (1491560)Instruction limit reached!
% 10.40/3.61 % (1491560)------------------------------
% 10.40/3.61 % (1491560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/3.61 % (1491560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/3.61 % (1491560)CaDiCaL version: 2.1.3
% 10.40/3.61 % (1491560)Termination reason: Instruction limit
% 10.40/3.61 % (1491560)Termination phase: Saturation
% 10.40/3.61 % (1491560)Time elapsed: 0.098 s
% 10.40/3.61 % (1491560)Peak memory usage: 105 MB
% 10.40/3.61 % (1491560)Instructions burned: 294 (million)
% 10.40/3.61 % (1491555)Instruction limit reached!
% 10.40/3.61 % (1491555)------------------------------
% 10.40/3.61 % (1491555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/3.61 % (1491555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/3.61 % (1491555)CaDiCaL version: 2.1.3
% 10.40/3.61 % (1491555)Termination reason: Instruction limit
% 10.40/3.61 % (1491555)Termination phase: Saturation
% 10.40/3.61 % (1491555)Time elapsed: 0.223 s
% 10.40/3.61 % (1491555)Peak memory usage: 103 MB
% 10.40/3.61 % (1491555)Instructions burned: 326 (million)
% 10.40/3.61 % (1491562)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1329155363:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 10.40/3.61 % (1491564)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2949223159:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 10.40/3.61 % (1491566)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2877136545:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 10.40/3.61 % (1491566)Instruction limit reached!
% 10.40/3.61 % (1491566)------------------------------
% 10.40/3.61 % (1491566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/3.61 % (1491566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/3.61 % (1491566)CaDiCaL version: 2.1.3
% 10.40/3.61 % (1491566)Termination reason: Instruction limit
% 10.40/3.61 % (1491566)Termination phase: Property scanning
% 10.40/3.61 % (1491566)Time elapsed: 0.026 s
% 10.40/3.61 % (1491566)Peak memory usage: 97 MB
% 10.40/3.61 % (1491566)Instructions burned: 117 (million)
% 10.40/3.61 % (1491565)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1000205306:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 10.40/3.61 % (1491564)Instruction limit reached!
% 10.40/3.61 % (1491564)------------------------------
% 10.40/3.61 % (1491564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/3.61 % (1491564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/3.61 % (1491564)CaDiCaL version: 2.1.3
% 10.40/3.61 % (1491564)Termination reason: Instruction limit
% 10.40/3.61 % (1491564)Termination phase: Preprocessing 3
% 10.40/3.61 % (1491564)Time elapsed: 0.093 s
% 10.40/3.61 % (1491564)Peak memory usage: 100 MB
% 10.40/3.61 % (1491564)Instructions burned: 114 (million)
% 10.40/3.61 % (1491565)Instruction limit reached!
% 10.40/3.61 % (1491565)------------------------------
% 10.40/3.61 % (1491565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/3.61 % (1491565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/3.61 % (1491565)CaDiCaL version: 2.1.3
% 10.40/3.61 % (1491565)Termination reason: Instruction limit
% 10.40/3.61 % (1491565)Termination phase: Naming
% 10.40/3.61 % (1491565)Time elapsed: 0.105 s
% 10.40/3.61 % (1491565)Peak memory usage: 106 MB
% 10.40/3.61 % (1491565)Instructions burned: 127 (million)
% 10.40/3.61 % (1491570)lrs+10_1_sil=8000:sp=occurrence:random_seed=2496767496:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 10.40/3.61 % (1491572)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=670217828:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 10.40/3.61 % (1491574)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1893996411:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 10.40/3.61 % (1491570)Instruction limit reached!
% 10.40/3.61 % (1491570)------------------------------
% 10.40/3.61 % (1491570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/3.61 % (1491570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/3.61 % (1491570)CaDiCaL version: 2.1.3
% 10.40/3.61 % (1491570)Termination reason: Instruction limit
% 10.40/3.61 % (1491570)Termination phase: Saturation
% 10.40/3.61 % (1491570)Time elapsed: 0.286 s
% 10.40/3.61 % (1491570)Peak memory usage: 116 MB
% 10.40/3.61 % (1491570)Instructions burned: 910 (million)
% 10.40/3.61 % (1491572)Instruction limit reached!
% 10.40/3.61 % (1491572)------------------------------
% 10.40/3.61 % (1491572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/3.61 % (1491572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/3.61 % (1491572)CaDiCaL version: 2.1.3
% 10.40/3.61 % (1491572)Termination reason: Instruction limit
% 10.40/3.61 % (1491572)Termination phase: Saturation
% 10.40/3.61 % (1491572)Time elapsed: 0.230 s
% 10.40/3.61 % (1491572)Peak memory usage: 103 MB
% 10.40/3.61 % (1491572)Instructions burned: 439 (million)
% 10.40/3.61 % (1491577)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3951114736:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 10.40/3.61 % (1491577)Instruction limit reached!
% 10.40/3.61 % (1491577)------------------------------
% 10.40/3.61 % (1491577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/3.61 % (1491577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/3.61 % (1491577)CaDiCaL version: 2.1.3
% 10.40/3.61 % (1491577)Termination reason: Instruction limit
% 10.40/3.61 % (1491577)Termination phase: Saturation
% 10.40/3.61 % (1491577)Time elapsed: 0.054 s
% 10.40/3.61 % (1491577)Peak memory usage: 103 MB
% 10.40/3.61 % (1491577)Instructions burned: 135 (million)
% 10.40/3.61 % (1491578)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2223360272:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 10.40/3.61 % (1491580)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=64153993:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 10.40/3.61 % (1491578)Instruction limit reached!
% 10.40/3.61 % (1491578)------------------------------
% 10.40/3.61 % (1491578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/3.61 % (1491578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/3.61 % (1491578)CaDiCaL version: 2.1.3
% 10.40/3.61 % (1491578)Termination reason: Instruction limit
% 10.40/3.61 % (1491578)Termination phase: Property scanning
% 10.40/3.61 % (1491578)Time elapsed: 0.362 s
% 10.40/3.61 % (1491578)Peak memory usage: 114 MB
% 10.40/3.61 % (1491578)Instructions burned: 594 (million)
% 10.40/3.61 % (1491583)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=2176306542:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/125Mi)
% 10.40/3.61 % (1491583)Instruction limit reached!
% 10.40/3.61 % (1491583)------------------------------
% 10.40/3.61 % (1491583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/3.61 % (1491583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/3.61 % (1491583)CaDiCaL version: 2.1.3
% 10.40/3.61 % (1491583)Termination reason: Instruction limit
% 10.40/3.61 % (1491583)Termination phase: SInE selection
% 10.40/3.61 % (1491583)Time elapsed: 0.058 s
% 10.40/3.61 % (1491583)Peak memory usage: 97 MB
% 10.40/3.61 % (1491583)Instructions burned: 125 (million)
% 10.40/3.61 % (1491585)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1956223687:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 10.40/3.61 % (1491541)First to succeed.
% 10.40/3.61 % (1491541)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1491534"
% 10.40/3.61 % (1491585)Instruction limit reached!
% 10.40/3.61 % (1491585)------------------------------
% 10.40/3.61 % (1491585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/3.61 % (1491585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/3.61 % (1491585)CaDiCaL version: 2.1.3
% 10.40/3.61 % (1491585)Termination reason: Instruction limit
% 10.40/3.61 % (1491585)Termination phase: Initialization
% 10.40/3.61 % (1491585)Time elapsed: 0.061 s
% 10.40/3.61 % (1491585)Peak memory usage: 97 MB
% 10.40/3.61 % (1491585)Instructions burned: 135 (million)
% 10.40/3.61 % (1491562)Instruction limit reached!
% 10.40/3.61 % (1491562)------------------------------
% 10.40/3.61 % (1491562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.40/3.61 % (1491562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.40/3.61 % (1491562)CaDiCaL version: 2.1.3
% 10.40/3.61 % (1491562)Termination reason: Instruction limit
% 10.40/3.61 % (1491562)Termination phase: Saturation
% 10.40/3.61 % (1491562)Time elapsed: 1.690 s
% 10.40/3.61 % (1491562)Peak memory usage: 331 MB
% 10.40/3.61 % (1491562)Instructions burned: 2351 (million)
% 10.40/3.61 % (1491587)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3354898247:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/141Mi)
% 10.40/3.61 % (1491541)Refutation found. Thanks to Tanya!
% 10.40/3.61 % SZS status Theorem for theBenchmark
% 10.40/3.61 % SZS output start Proof for theBenchmark
% See solution above
% 18.52/3.85 % (1491541)------------------------------
% 18.52/3.85 % (1491541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.52/3.85 % (1491541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.52/3.85 % (1491541)CaDiCaL version: 2.1.3
% 18.52/3.85 % (1491541)Termination reason: Refutation
% 18.52/3.85 % (1491541)Time elapsed: 2.0000 s
% 18.52/3.85 % (1491541)Peak memory usage: 160 MB
% 18.52/3.85 % (1491541)Instructions burned: 3505 (million)
% 18.52/3.85 % (1491541)------------------------------
% 18.52/3.85 % (1491541)------------------------------
% 18.52/3.85 % (1491534)Success in time 2.933 s
% 18.52/3.85 % Vampire exiting
%------------------------------------------------------------------------------