%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG216+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:19:21 AM UTC 2026
% Result : Theorem 12.51s 5.80s
% Output : Refutation 23.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 43
% Syntax : Number of formulae : 509 ( 78 unt; 31 def)
% Number of atoms : 5577 ( 77 equ)
% Maximal formula atoms : 25 ( 10 avg)
% Number of connectives : 9278 (4210 ~;4772 |; 238 &)
% ( 31 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 12 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 51 ( 49 usr; 32 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 469 ( 0 sgn 460 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f481,axiom,
! [X0] : k1_subset_1(X0) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_subset_1) ).
fof(f563,axiom,
! [X0] :
( v1_xboole_0(k1_subset_1(X0))
& m1_subset_1(k1_subset_1(X0),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_subset_1) ).
fof(f5328,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_card_1) ).
fof(f24214,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_rmod_2(X2,X0,X1)
=> k1_rlvect_1(X2) = k1_rlvect_1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_rmod_2) ).
fof(f24227,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> m1_rmod_2(X1,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_rmod_2) ).
fof(f24293,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(f24435,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1)))
=> k5_rmod_4(X0,X1,X2) = k1_rlvect_1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_rmod_4) ).
fof(f24481,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0)
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m2_rmod_4(X3,X0,X1,X2)
=> m1_rmod_4(X3,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_rmod_4) ).
fof(f24482,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0)
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ? [X3] : m2_rmod_4(X3,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m2_rmod_4) ).
fof(f24490,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0)
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0)
& m1_rmod_4(X2,X0,X1) )
=> m1_subset_1(k5_rmod_4(X0,X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_rmod_4) ).
fof(f24504,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
=> ( k1_rlvect_1(X0) = k2_group_1(X0)
| ( X2 != k1_rlvect_1(X1)
& X3 != k1_rlvect_1(X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_rmod_5) ).
fof(f24505,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k1_rlvect_1(X0) != k2_group_1(X0)
=> ( ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
& ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_rmod_5) ).
fof(f24506,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k1_rlvect_1(X0) != k2_group_1(X0)
=> ( ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
& ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f24505]) ).
fof(f24531,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ( X2 != k1_rlvect_1(X1)
& X3 != k1_rlvect_1(X1) )
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f24504]) ).
fof(f24532,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ( X2 != k1_rlvect_1(X1)
& X3 != k1_rlvect_1(X1) )
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f24531]) ).
fof(f24533,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
| v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1) )
& k1_rlvect_1(X0) != k2_group_1(X0)
& m1_subset_1(X2,u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f24506]) ).
fof(f24534,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
| v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X2),X0,X1) )
& k1_rlvect_1(X0) != k2_group_1(X0)
& m1_subset_1(X2,u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) ),
inference(flattening,[],[f24533]) ).
fof(f24574,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,[],[f24293]) ).
fof(f24575,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,[],[f24574]) ).
fof(f24582,plain,
! [X0] :
( ! [X1] :
( m1_rmod_2(X1,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) )
| 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,[],[f24227]) ).
fof(f24583,plain,
! [X0] :
( ! [X1] :
( m1_rmod_2(X1,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) )
| 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,[],[f24582]) ).
fof(f24600,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_rlvect_1(X2) = k1_rlvect_1(X1)
| ~ m1_rmod_2(X2,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) )
| 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,[],[f24214]) ).
fof(f24601,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_rlvect_1(X2) = k1_rlvect_1(X1)
| ~ m1_rmod_2(X2,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) )
| 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,[],[f24600]) ).
fof(f24626,plain,
! [X0,X1,X2] :
( ? [X3] : m2_rmod_4(X3,X0,X1,X2)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(ennf_transformation,[],[f24482]) ).
fof(f24627,plain,
! [X0,X1,X2] :
( ? [X3] : m2_rmod_4(X3,X0,X1,X2)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(flattening,[],[f24626]) ).
fof(f24628,plain,
! [X0,X1,X2] :
( ! [X3] :
( m1_rmod_4(X3,X0,X1)
| ~ m2_rmod_4(X3,X0,X1,X2) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(ennf_transformation,[],[f24481]) ).
fof(f24629,plain,
! [X0,X1,X2] :
( ! [X3] :
( m1_rmod_4(X3,X0,X1)
| ~ m2_rmod_4(X3,X0,X1,X2) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(flattening,[],[f24628]) ).
fof(f24642,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_rmod_4(X0,X1,X2),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_rmod_4(X2,X0,X1) ),
inference(ennf_transformation,[],[f24490]) ).
fof(f24643,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_rmod_4(X0,X1,X2),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_rmod_4(X2,X0,X1) ),
inference(flattening,[],[f24642]) ).
fof(f24650,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_rmod_4(X0,X1,X2) = k1_rlvect_1(X1)
| ~ m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f24435]) ).
fof(f24651,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_rmod_4(X0,X1,X2) = k1_rlvect_1(X1)
| ~ m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f24650]) ).
fof(f24710,plain,
( ( v1_rmod_5(k8_rlvect_2(sK3,sK4,k1_rlvect_1(sK3)),sK2,sK3)
| v1_rmod_5(k8_rlvect_2(sK3,k1_rlvect_1(sK3),sK4),sK2,sK3) )
& k1_rlvect_1(sK2) != k2_group_1(sK2)
& m1_subset_1(sK4,u1_struct_0(sK3))
& ~ v3_struct_0(sK3)
& v3_rlvect_1(sK3)
& v4_rlvect_1(sK3)
& v5_rlvect_1(sK3)
& v6_rlvect_1(sK3)
& v5_vectsp_2(sK3,sK2)
& l1_vectsp_2(sK3,sK2)
& ~ v3_struct_0(sK2)
& v3_rlvect_1(sK2)
& v4_rlvect_1(sK2)
& v5_rlvect_1(sK2)
& v6_rlvect_1(sK2)
& v4_group_1(sK2)
& v6_vectsp_1(sK2)
& v7_vectsp_1(sK2)
& v8_vectsp_1(sK2)
& l3_vectsp_1(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f24534]) ).
fof(f24744,plain,
! [X0,X1,X2] :
( m2_rmod_4(sK25(X0,X1,X2),X0,X1,X2)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X3,sK25(X0,X1,X2))],[f24627]) ).
fof(f24778,plain,
! [X2,X3,X0,X1] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rlvect_1(X1) != X3
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f24532]) ).
fof(f24779,plain,
! [X2,X3,X0,X1] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rlvect_1(X1) != X2
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f24532]) ).
fof(f24780,plain,
l3_vectsp_1(sK2),
inference(cnf_transformation,[],[f24710]) ).
fof(f24781,plain,
v8_vectsp_1(sK2),
inference(cnf_transformation,[],[f24710]) ).
fof(f24782,plain,
v7_vectsp_1(sK2),
inference(cnf_transformation,[],[f24710]) ).
fof(f24783,plain,
v6_vectsp_1(sK2),
inference(cnf_transformation,[],[f24710]) ).
fof(f24784,plain,
v4_group_1(sK2),
inference(cnf_transformation,[],[f24710]) ).
fof(f24785,plain,
v6_rlvect_1(sK2),
inference(cnf_transformation,[],[f24710]) ).
fof(f24786,plain,
v5_rlvect_1(sK2),
inference(cnf_transformation,[],[f24710]) ).
fof(f24787,plain,
v4_rlvect_1(sK2),
inference(cnf_transformation,[],[f24710]) ).
fof(f24788,plain,
v3_rlvect_1(sK2),
inference(cnf_transformation,[],[f24710]) ).
fof(f24789,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f24710]) ).
fof(f24790,plain,
l1_vectsp_2(sK3,sK2),
inference(cnf_transformation,[],[f24710]) ).
fof(f24791,plain,
v5_vectsp_2(sK3,sK2),
inference(cnf_transformation,[],[f24710]) ).
fof(f24792,plain,
v6_rlvect_1(sK3),
inference(cnf_transformation,[],[f24710]) ).
fof(f24793,plain,
v5_rlvect_1(sK3),
inference(cnf_transformation,[],[f24710]) ).
fof(f24794,plain,
v4_rlvect_1(sK3),
inference(cnf_transformation,[],[f24710]) ).
fof(f24795,plain,
v3_rlvect_1(sK3),
inference(cnf_transformation,[],[f24710]) ).
fof(f24796,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f24710]) ).
fof(f24797,plain,
m1_subset_1(sK4,u1_struct_0(sK3)),
inference(cnf_transformation,[],[f24710]) ).
fof(f24798,plain,
k1_rlvect_1(sK2) != k2_group_1(sK2),
inference(cnf_transformation,[],[f24710]) ).
fof(f24799,plain,
( v1_rmod_5(k8_rlvect_2(sK3,sK4,k1_rlvect_1(sK3)),sK2,sK3)
| v1_rmod_5(k8_rlvect_2(sK3,k1_rlvect_1(sK3),sK4),sK2,sK3) ),
inference(cnf_transformation,[],[f24710]) ).
fof(f24881,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,[],[f24575]) ).
fof(f24882,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,[],[f24575]) ).
fof(f24883,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,[],[f24575]) ).
fof(f24884,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,[],[f24575]) ).
fof(f24885,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,[],[f24575]) ).
fof(f24886,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,[],[f24575]) ).
fof(f24887,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,[],[f24575]) ).
fof(f24893,plain,
! [X0,X1] :
( m1_rmod_2(X1,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)
| 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,[],[f24583]) ).
fof(f24902,plain,
! [X2,X0,X1] :
( k1_rlvect_1(X1) = k1_rlvect_1(X2)
| ~ m1_rmod_2(X2,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)
| 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,[],[f24601]) ).
fof(f24906,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f5328]) ).
fof(f24935,plain,
! [X2,X0,X1] :
( m2_rmod_4(sK25(X0,X1,X2),X0,X1,X2)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f24744]) ).
fof(f24936,plain,
! [X2,X3,X0,X1] :
( m1_rmod_4(X3,X0,X1)
| ~ m2_rmod_4(X3,X0,X1,X2)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f24629]) ).
fof(f24949,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_rmod_4(X0,X1,X2),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_rmod_4(X2,X0,X1) ),
inference(cnf_transformation,[],[f24643]) ).
fof(f24953,plain,
! [X2,X0,X1] :
( k1_rlvect_1(X1) = k5_rmod_4(X0,X1,X2)
| ~ m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f24651]) ).
fof(f25027,plain,
! [X0] : m1_subset_1(k1_subset_1(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f563]) ).
fof(f25031,plain,
! [X0] : k1_xboole_0 = k1_subset_1(X0),
inference(cnf_transformation,[],[f481]) ).
fof(f25032,plain,
! [X0] : k1_subset_1(X0) = np__0,
inference(definition_unfolding,[],[f25031,f24906]) ).
fof(f25065,plain,
! [X2,X0,X1] :
( k1_rlvect_1(X1) = k5_rmod_4(X0,X1,X2)
| ~ m2_rmod_4(X2,X0,X1,np__0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(definition_unfolding,[],[f24953,f25032]) ).
fof(f25072,plain,
! [X0] : m1_subset_1(np__0,k1_zfmisc_1(X0)),
inference(definition_unfolding,[],[f25027,f25032]) ).
fof(f25075,plain,
! [X3,X0,X1] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,k1_rlvect_1(X1),X3),X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(equality_resolution,[],[f24779]) ).
fof(f25076,plain,
! [X2,X0,X1] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| ~ v1_rmod_5(k8_rlvect_2(X1,X2,k1_rlvect_1(X1)),X0,X1)
| ~ m1_subset_1(k1_rlvect_1(X1),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(equality_resolution,[],[f24778]) ).
fof(f25153,definition,
( spl63_1
<=> v3_struct_0(sK2) ),
introduced(definition,[new_symbols(definition,[spl63_1])],[avatar_definition]) ).
fof(f25155,plain,
( ~ v3_struct_0(sK2)
| spl63_1 ),
inference(avatar_component_clause,[],[f25153]) ).
fof(f25156,plain,
~ spl63_1,
inference(avatar_split_clause,[],[f24789,f25153]) ).
fof(f25158,definition,
( spl63_2
<=> v3_struct_0(sK3) ),
introduced(definition,[new_symbols(definition,[spl63_2])],[avatar_definition]) ).
fof(f25160,plain,
( ~ v3_struct_0(sK3)
| spl63_2 ),
inference(avatar_component_clause,[],[f25158]) ).
fof(f25161,plain,
~ spl63_2,
inference(avatar_split_clause,[],[f24796,f25158]) ).
fof(f25163,definition,
( spl63_3
<=> k1_rlvect_1(sK2) = k2_group_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl63_3])],[avatar_definition]) ).
fof(f25165,plain,
( k1_rlvect_1(sK2) != k2_group_1(sK2)
| spl63_3 ),
inference(avatar_component_clause,[],[f25163]) ).
fof(f25166,plain,
~ spl63_3,
inference(avatar_split_clause,[],[f24798,f25163]) ).
fof(f25169,plain,
( ! [X0,X1] :
( k1_rlvect_1(sK2) != k1_rlvect_1(sK2)
| ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| v3_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) )
| spl63_3 ),
inference(superposition,[],[f25165,f25076]) ).
fof(f25170,plain,
( ! [X0,X1] :
( k1_rlvect_1(sK2) != k1_rlvect_1(sK2)
| ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| v3_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) )
| spl63_3 ),
inference(superposition,[],[f25165,f25075]) ).
fof(f25173,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| v3_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) )
| spl63_3 ),
inference(trivial_inequality_removal,[],[f25170]) ).
fof(f25174,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| v3_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) )
| spl63_3 ),
inference(trivial_inequality_removal,[],[f25169]) ).
fof(f25178,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25173,f25155]) ).
fof(f25179,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25174,f25155]) ).
fof(f25183,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25178,f24788]) ).
fof(f25184,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25179,f24788]) ).
fof(f25188,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25183,f24787]) ).
fof(f25189,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25184,f24787]) ).
fof(f25193,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25188,f24786]) ).
fof(f25194,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25189,f24786]) ).
fof(f25198,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25193,f24785]) ).
fof(f25199,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25194,f24785]) ).
fof(f25203,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25198,f24784]) ).
fof(f25204,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25199,f24784]) ).
fof(f25208,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25203,f24783]) ).
fof(f25209,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25204,f24783]) ).
fof(f25213,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25208,f24782]) ).
fof(f25214,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25209,f24782]) ).
fof(f25218,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25213,f24781]) ).
fof(f25219,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25214,f24781]) ).
fof(f25223,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25218,f24780]) ).
fof(f25224,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2) )
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f25219,f24780]) ).
fof(f27567,definition,
( spl63_4
<=> l1_vectsp_2(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl63_4])],[avatar_definition]) ).
fof(f27569,plain,
( l1_vectsp_2(sK3,sK2)
| ~ spl63_4 ),
inference(avatar_component_clause,[],[f27567]) ).
fof(f27570,plain,
spl63_4,
inference(avatar_split_clause,[],[f24790,f27567]) ).
fof(f27600,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(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)
| ~ 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) )
| ~ spl63_4 ),
inference(resolution,[],[f27569,f24881]) ).
fof(f27601,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(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)
| ~ 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) )
| ~ spl63_4 ),
inference(resolution,[],[f27569,f24882]) ).
fof(f27602,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(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)
| ~ 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) )
| ~ spl63_4 ),
inference(resolution,[],[f27569,f24883]) ).
fof(f27603,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(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)
| ~ 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) )
| ~ spl63_4 ),
inference(resolution,[],[f27569,f24884]) ).
fof(f27604,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(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)
| ~ 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) )
| ~ spl63_4 ),
inference(resolution,[],[f27569,f24885]) ).
fof(f27605,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(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)
| ~ 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) )
| ~ spl63_4 ),
inference(resolution,[],[f27569,f24886]) ).
fof(f27606,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(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)
| ~ 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) )
| ~ spl63_4 ),
inference(resolution,[],[f27569,f24887]) ).
fof(f27614,plain,
( m1_rmod_2(sK3,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)
| 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)
| ~ spl63_4 ),
inference(resolution,[],[f27569,f24893]) ).
fof(f27619,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(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)
| 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) )
| ~ spl63_4 ),
inference(resolution,[],[f27569,f24902]) ).
fof(f27621,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| ~ spl63_4 ),
inference(resolution,[],[f27569,f24936]) ).
fof(f27640,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| ~ spl63_4 ),
inference(resolution,[],[f27569,f25065]) ).
fof(f27661,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27640,f25160]) ).
fof(f27680,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27621,f25155]) ).
fof(f27682,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27619,f25160]) ).
fof(f27687,plain,
( m1_rmod_2(sK3,sK2,sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27614,f25160]) ).
fof(f27694,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27606,f25155]) ).
fof(f27695,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27605,f25155]) ).
fof(f27696,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27604,f25155]) ).
fof(f27697,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27603,f25155]) ).
fof(f27698,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27602,f25155]) ).
fof(f27699,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27601,f25155]) ).
fof(f27700,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27600,f25155]) ).
fof(f27738,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27661,f24795]) ).
fof(f27757,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27680,f24788]) ).
fof(f27759,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27682,f24795]) ).
fof(f27764,plain,
( m1_rmod_2(sK3,sK2,sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27687,f24795]) ).
fof(f27771,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27694,f24788]) ).
fof(f27772,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27695,f24788]) ).
fof(f27773,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27696,f24788]) ).
fof(f27774,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27697,f24788]) ).
fof(f27775,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27698,f24788]) ).
fof(f27776,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27699,f24788]) ).
fof(f27777,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27700,f24788]) ).
fof(f27815,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27738,f24794]) ).
fof(f27834,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27757,f24787]) ).
fof(f27836,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27759,f24794]) ).
fof(f27841,plain,
( m1_rmod_2(sK3,sK2,sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27764,f24794]) ).
fof(f27848,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27771,f24787]) ).
fof(f27849,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27772,f24787]) ).
fof(f27850,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27773,f24787]) ).
fof(f27851,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27774,f24787]) ).
fof(f27852,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27775,f24787]) ).
fof(f27853,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27776,f24787]) ).
fof(f27854,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27777,f24787]) ).
fof(f27892,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27815,f24793]) ).
fof(f27911,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27834,f24786]) ).
fof(f27913,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27836,f24793]) ).
fof(f27918,plain,
( m1_rmod_2(sK3,sK2,sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27841,f24793]) ).
fof(f27925,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27848,f24786]) ).
fof(f27926,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27849,f24786]) ).
fof(f27927,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27850,f24786]) ).
fof(f27928,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27851,f24786]) ).
fof(f27929,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27852,f24786]) ).
fof(f27930,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27853,f24786]) ).
fof(f27931,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27854,f24786]) ).
fof(f27969,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27892,f24792]) ).
fof(f27988,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27911,f24785]) ).
fof(f27990,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27913,f24792]) ).
fof(f27995,plain,
( m1_rmod_2(sK3,sK2,sK3)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27918,f24792]) ).
fof(f28002,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27925,f24785]) ).
fof(f28003,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27926,f24785]) ).
fof(f28004,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27927,f24785]) ).
fof(f28005,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27928,f24785]) ).
fof(f28006,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27929,f24785]) ).
fof(f28007,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27930,f24785]) ).
fof(f28008,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27931,f24785]) ).
fof(f28046,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27969,f24791]) ).
fof(f28065,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27988,f24784]) ).
fof(f28067,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(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)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27990,f24791]) ).
fof(f28072,plain,
( m1_rmod_2(sK3,sK2,sK3)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f27995,f24791]) ).
fof(f28079,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28002,f24784]) ).
fof(f28080,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28003,f24784]) ).
fof(f28081,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28004,f24784]) ).
fof(f28082,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28005,f24784]) ).
fof(f28083,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28006,f24784]) ).
fof(f28084,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28007,f24784]) ).
fof(f28085,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28008,f24784]) ).
fof(f28123,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28046,f25155]) ).
fof(f28142,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28065,f24783]) ).
fof(f28144,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28067,f25155]) ).
fof(f28149,plain,
( m1_rmod_2(sK3,sK2,sK3)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28072,f25155]) ).
fof(f28156,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28079,f24783]) ).
fof(f28157,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28080,f24783]) ).
fof(f28158,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28081,f24783]) ).
fof(f28159,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28082,f24783]) ).
fof(f28160,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28083,f24783]) ).
fof(f28161,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28084,f24783]) ).
fof(f28162,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28085,f24783]) ).
fof(f28200,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28123,f24788]) ).
fof(f28219,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28142,f24782]) ).
fof(f28221,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28144,f24788]) ).
fof(f28226,plain,
( m1_rmod_2(sK3,sK2,sK3)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28149,f24788]) ).
fof(f28233,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28156,f24782]) ).
fof(f28234,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28157,f24782]) ).
fof(f28235,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28158,f24782]) ).
fof(f28236,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28159,f24782]) ).
fof(f28237,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28160,f24782]) ).
fof(f28238,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28161,f24782]) ).
fof(f28239,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28162,f24782]) ).
fof(f28277,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28200,f24787]) ).
fof(f28296,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28219,f24781]) ).
fof(f28298,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28221,f24787]) ).
fof(f28303,plain,
( m1_rmod_2(sK3,sK2,sK3)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28226,f24787]) ).
fof(f28310,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(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) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28233,f24781]) ).
fof(f28311,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(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) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28234,f24781]) ).
fof(f28312,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(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) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28235,f24781]) ).
fof(f28313,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(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) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28236,f24781]) ).
fof(f28314,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(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) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28237,f24781]) ).
fof(f28315,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(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) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28238,f24781]) ).
fof(f28316,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(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) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28239,f24781]) ).
fof(f28354,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28277,f24786]) ).
fof(f28373,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28296,f24780]) ).
fof(f28375,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28298,f24786]) ).
fof(f28380,plain,
( m1_rmod_2(sK3,sK2,sK3)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28303,f24786]) ).
fof(f28387,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(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) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28310,f24780]) ).
fof(f28388,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(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) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28311,f24780]) ).
fof(f28389,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(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) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28312,f24780]) ).
fof(f28390,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(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) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28313,f24780]) ).
fof(f28391,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(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) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28314,f24780]) ).
fof(f28392,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(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) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28315,f24780]) ).
fof(f28393,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(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) )
| spl63_1
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28316,f24780]) ).
fof(f28431,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28354,f24785]) ).
fof(f28450,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28373,f25160]) ).
fof(f28452,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28375,f24785]) ).
fof(f28457,plain,
( m1_rmod_2(sK3,sK2,sK3)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28380,f24785]) ).
fof(f28464,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28387,f25160]) ).
fof(f28465,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28388,f25160]) ).
fof(f28466,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28389,f25160]) ).
fof(f28467,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28390,f25160]) ).
fof(f28468,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28391,f25160]) ).
fof(f28469,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28392,f25160]) ).
fof(f28470,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28393,f25160]) ).
fof(f28504,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28431,f24784]) ).
fof(f28523,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28450,f24795]) ).
fof(f28525,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28452,f24784]) ).
fof(f28530,plain,
( m1_rmod_2(sK3,sK2,sK3)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28457,f24784]) ).
fof(f28537,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28464,f24795]) ).
fof(f28538,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28465,f24795]) ).
fof(f28539,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28466,f24795]) ).
fof(f28540,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28467,f24795]) ).
fof(f28541,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28468,f24795]) ).
fof(f28542,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28469,f24795]) ).
fof(f28543,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28470,f24795]) ).
fof(f28577,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28504,f24783]) ).
fof(f28596,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28523,f24794]) ).
fof(f28598,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28525,f24783]) ).
fof(f28603,plain,
( m1_rmod_2(sK3,sK2,sK3)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28530,f24783]) ).
fof(f28610,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28537,f24794]) ).
fof(f28611,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28538,f24794]) ).
fof(f28612,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28539,f24794]) ).
fof(f28613,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28540,f24794]) ).
fof(f28614,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28541,f24794]) ).
fof(f28615,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28542,f24794]) ).
fof(f28616,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28543,f24794]) ).
fof(f28650,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28577,f24782]) ).
fof(f28669,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28596,f24793]) ).
fof(f28671,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28598,f24782]) ).
fof(f28676,plain,
( m1_rmod_2(sK3,sK2,sK3)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28603,f24782]) ).
fof(f28683,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28610,f24793]) ).
fof(f28684,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28611,f24793]) ).
fof(f28685,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28612,f24793]) ).
fof(f28686,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28613,f24793]) ).
fof(f28687,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28614,f24793]) ).
fof(f28688,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28615,f24793]) ).
fof(f28689,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28616,f24793]) ).
fof(f28723,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28650,f24781]) ).
fof(f28742,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ v5_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28669,f24792]) ).
fof(f28744,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ l3_vectsp_1(sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28671,f24781]) ).
fof(f28749,plain,
( m1_rmod_2(sK3,sK2,sK3)
| ~ l3_vectsp_1(sK2)
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28676,f24781]) ).
fof(f28756,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28683,f24792]) ).
fof(f28757,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28684,f24792]) ).
fof(f28758,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28685,f24792]) ).
fof(f28759,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28686,f24792]) ).
fof(f28760,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28687,f24792]) ).
fof(f28761,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28688,f24792]) ).
fof(f28762,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3)
| ~ v5_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28689,f24792]) ).
fof(f28796,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28723,f24780]) ).
fof(f28815,plain,
( ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28742,f24791]) ).
fof(f28817,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28744,f24780]) ).
fof(f28822,plain,
( m1_rmod_2(sK3,sK2,sK3)
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28749,f24780]) ).
fof(f28829,plain,
( ! [X0] :
( ~ v3_struct_0(X0)
| ~ m1_rmod_2(X0,sK2,sK3) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28756,f24791]) ).
fof(f28830,plain,
( ! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28757,f24791]) ).
fof(f28831,plain,
( ! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28758,f24791]) ).
fof(f28832,plain,
( ! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28759,f24791]) ).
fof(f28833,plain,
( ! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK2,sK3) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28760,f24791]) ).
fof(f28834,plain,
( ! [X0] :
( v5_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28761,f24791]) ).
fof(f28835,plain,
( ! [X0] :
( l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3) )
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(forward_subsumption_resolution,[],[f28762,f24791]) ).
fof(f28888,definition,
( spl63_5
<=> m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl63_5])],[avatar_definition]) ).
fof(f28889,plain,
( m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(sK3))
| ~ spl63_5 ),
inference(avatar_component_clause,[],[f28888]) ).
fof(f28890,plain,
( ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(sK3))
| spl63_5 ),
inference(avatar_component_clause,[],[f28888]) ).
fof(f28928,definition,
( spl63_8
<=> v4_group_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl63_8])],[avatar_definition]) ).
fof(f28930,plain,
( v4_group_1(sK2)
| ~ spl63_8 ),
inference(avatar_component_clause,[],[f28928]) ).
fof(f28931,plain,
spl63_8,
inference(avatar_split_clause,[],[f24784,f28928]) ).
fof(f28933,definition,
( spl63_9
<=> v5_vectsp_2(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl63_9])],[avatar_definition]) ).
fof(f28935,plain,
( v5_vectsp_2(sK3,sK2)
| ~ spl63_9 ),
inference(avatar_component_clause,[],[f28933]) ).
fof(f28936,plain,
spl63_9,
inference(avatar_split_clause,[],[f24791,f28933]) ).
fof(f29037,definition,
( spl63_10
<=> l3_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl63_10])],[avatar_definition]) ).
fof(f29039,plain,
( l3_vectsp_1(sK2)
| ~ spl63_10 ),
inference(avatar_component_clause,[],[f29037]) ).
fof(f29040,plain,
spl63_10,
inference(avatar_split_clause,[],[f24780,f29037]) ).
fof(f29042,definition,
( spl63_11
<=> v8_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl63_11])],[avatar_definition]) ).
fof(f29044,plain,
( v8_vectsp_1(sK2)
| ~ spl63_11 ),
inference(avatar_component_clause,[],[f29042]) ).
fof(f29045,plain,
spl63_11,
inference(avatar_split_clause,[],[f24781,f29042]) ).
fof(f29147,definition,
( spl63_12
<=> v6_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl63_12])],[avatar_definition]) ).
fof(f29149,plain,
( v6_vectsp_1(sK2)
| ~ spl63_12 ),
inference(avatar_component_clause,[],[f29147]) ).
fof(f29150,plain,
spl63_12,
inference(avatar_split_clause,[],[f24783,f29147]) ).
fof(f29152,definition,
( spl63_13
<=> v5_rlvect_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl63_13])],[avatar_definition]) ).
fof(f29154,plain,
( v5_rlvect_1(sK2)
| ~ spl63_13 ),
inference(avatar_component_clause,[],[f29152]) ).
fof(f29155,plain,
spl63_13,
inference(avatar_split_clause,[],[f24786,f29152]) ).
fof(f29157,definition,
( spl63_14
<=> v7_vectsp_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl63_14])],[avatar_definition]) ).
fof(f29159,plain,
( v7_vectsp_1(sK2)
| ~ spl63_14 ),
inference(avatar_component_clause,[],[f29157]) ).
fof(f29160,plain,
spl63_14,
inference(avatar_split_clause,[],[f24782,f29157]) ).
fof(f29162,definition,
( spl63_15
<=> v5_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl63_15])],[avatar_definition]) ).
fof(f29164,plain,
( v5_rlvect_1(sK3)
| ~ spl63_15 ),
inference(avatar_component_clause,[],[f29162]) ).
fof(f29165,plain,
spl63_15,
inference(avatar_split_clause,[],[f24793,f29162]) ).
fof(f29369,definition,
( spl63_16
<=> v6_rlvect_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl63_16])],[avatar_definition]) ).
fof(f29371,plain,
( v6_rlvect_1(sK2)
| ~ spl63_16 ),
inference(avatar_component_clause,[],[f29369]) ).
fof(f29372,plain,
spl63_16,
inference(avatar_split_clause,[],[f24785,f29369]) ).
fof(f29374,definition,
( spl63_17
<=> v3_rlvect_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl63_17])],[avatar_definition]) ).
fof(f29376,plain,
( v3_rlvect_1(sK2)
| ~ spl63_17 ),
inference(avatar_component_clause,[],[f29374]) ).
fof(f29377,plain,
spl63_17,
inference(avatar_split_clause,[],[f24788,f29374]) ).
fof(f29579,definition,
( spl63_18
<=> v6_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl63_18])],[avatar_definition]) ).
fof(f29581,plain,
( v6_rlvect_1(sK3)
| ~ spl63_18 ),
inference(avatar_component_clause,[],[f29579]) ).
fof(f29582,plain,
spl63_18,
inference(avatar_split_clause,[],[f24792,f29579]) ).
fof(f29584,definition,
( spl63_19
<=> v3_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl63_19])],[avatar_definition]) ).
fof(f29586,plain,
( v3_rlvect_1(sK3)
| ~ spl63_19 ),
inference(avatar_component_clause,[],[f29584]) ).
fof(f29587,plain,
spl63_19,
inference(avatar_split_clause,[],[f24795,f29584]) ).
fof(f29777,definition,
( spl63_20
<=> v4_rlvect_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl63_20])],[avatar_definition]) ).
fof(f29779,plain,
( v4_rlvect_1(sK2)
| ~ spl63_20 ),
inference(avatar_component_clause,[],[f29777]) ).
fof(f29780,plain,
spl63_20,
inference(avatar_split_clause,[],[f24787,f29777]) ).
fof(f30346,definition,
( spl63_21
<=> v4_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl63_21])],[avatar_definition]) ).
fof(f30348,plain,
( v4_rlvect_1(sK3)
| ~ spl63_21 ),
inference(avatar_component_clause,[],[f30346]) ).
fof(f30349,plain,
spl63_21,
inference(avatar_split_clause,[],[f24794,f30346]) ).
fof(f31197,definition,
( spl63_28
<=> m1_subset_1(sK4,u1_struct_0(sK3)) ),
introduced(definition,[new_symbols(definition,[spl63_28])],[avatar_definition]) ).
fof(f31199,plain,
( m1_subset_1(sK4,u1_struct_0(sK3))
| ~ spl63_28 ),
inference(avatar_component_clause,[],[f31197]) ).
fof(f31200,plain,
spl63_28,
inference(avatar_split_clause,[],[f24797,f31197]) ).
fof(f31373,definition,
( spl63_38
<=> ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl63_38])],[avatar_definition]) ).
fof(f31374,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,k1_rlvect_1(X0),X1),sK2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2) )
| ~ spl63_38 ),
inference(avatar_component_clause,[],[f31373]) ).
fof(f31375,plain,
( spl63_38
| spl63_1
| spl63_3 ),
inference(avatar_split_clause,[],[f25223,f25163,f25153,f31373]) ).
fof(f31449,definition,
( spl63_39
<=> ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl63_39])],[avatar_definition]) ).
fof(f31450,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(X0)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(X0),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2) )
| ~ spl63_39 ),
inference(avatar_component_clause,[],[f31449]) ).
fof(f31451,plain,
( spl63_39
| spl63_1
| spl63_3 ),
inference(avatar_split_clause,[],[f25224,f25163,f25153,f31449]) ).
fof(f31542,definition,
( spl63_44
<=> ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl63_44])],[avatar_definition]) ).
fof(f31543,plain,
( ! [X0] :
( k1_rlvect_1(X0) = k1_rlvect_1(sK3)
| ~ m1_rmod_2(X0,sK2,sK3) )
| ~ spl63_44 ),
inference(avatar_component_clause,[],[f31542]) ).
fof(f31544,plain,
( spl63_44
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(avatar_split_clause,[],[f28817,f27567,f25158,f25153,f31542]) ).
fof(f31577,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(sK3)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3) )
| ~ spl63_39
| ~ spl63_44 ),
inference(superposition,[],[f31450,f31543]) ).
fof(f31608,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(sK3)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_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_rmod_2(X0,sK2,sK3) )
| spl63_1
| spl63_2
| ~ spl63_4
| ~ spl63_39
| ~ spl63_44 ),
inference(forward_subsumption_resolution,[],[f31577,f28829]) ).
fof(f31630,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(sK3)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3) )
| spl63_1
| spl63_2
| ~ spl63_4
| ~ spl63_39
| ~ spl63_44 ),
inference(forward_subsumption_resolution,[],[f31608,f28830]) ).
fof(f31652,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(sK3)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3) )
| spl63_1
| spl63_2
| ~ spl63_4
| ~ spl63_39
| ~ spl63_44 ),
inference(forward_subsumption_resolution,[],[f31630,f28831]) ).
fof(f31674,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(sK3)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3) )
| spl63_1
| spl63_2
| ~ spl63_4
| ~ spl63_39
| ~ spl63_44 ),
inference(forward_subsumption_resolution,[],[f31652,f28832]) ).
fof(f31696,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(sK3)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v5_vectsp_2(X0,sK2)
| ~ l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3) )
| spl63_1
| spl63_2
| ~ spl63_4
| ~ spl63_39
| ~ spl63_44 ),
inference(forward_subsumption_resolution,[],[f31674,f28833]) ).
fof(f31711,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(sK3)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_vectsp_2(X0,sK2)
| ~ m1_rmod_2(X0,sK2,sK3) )
| spl63_1
| spl63_2
| ~ spl63_4
| ~ spl63_39
| ~ spl63_44 ),
inference(forward_subsumption_resolution,[],[f31696,f28834]) ).
fof(f31713,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(sK3)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_rmod_2(X0,sK2,sK3) )
| spl63_1
| spl63_2
| ~ spl63_4
| ~ spl63_39
| ~ spl63_44 ),
inference(forward_subsumption_resolution,[],[f31711,f28835]) ).
fof(f31716,definition,
( spl63_45
<=> m1_rmod_2(sK3,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl63_45])],[avatar_definition]) ).
fof(f31718,plain,
( m1_rmod_2(sK3,sK2,sK3)
| ~ spl63_45 ),
inference(avatar_component_clause,[],[f31716]) ).
fof(f31719,plain,
( spl63_45
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(avatar_split_clause,[],[f28822,f27567,f25158,f25153,f31716]) ).
fof(f32340,definition,
( spl63_47
<=> v1_rmod_5(k8_rlvect_2(sK3,k1_rlvect_1(sK3),sK4),sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl63_47])],[avatar_definition]) ).
fof(f32342,plain,
( v1_rmod_5(k8_rlvect_2(sK3,k1_rlvect_1(sK3),sK4),sK2,sK3)
| ~ spl63_47 ),
inference(avatar_component_clause,[],[f32340]) ).
fof(f32344,definition,
( spl63_48
<=> v1_rmod_5(k8_rlvect_2(sK3,sK4,k1_rlvect_1(sK3)),sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl63_48])],[avatar_definition]) ).
fof(f32346,plain,
( v1_rmod_5(k8_rlvect_2(sK3,sK4,k1_rlvect_1(sK3)),sK2,sK3)
| ~ spl63_48 ),
inference(avatar_component_clause,[],[f32344]) ).
fof(f32347,plain,
( spl63_47
| spl63_48 ),
inference(avatar_split_clause,[],[f24799,f32344,f32340]) ).
fof(f32348,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK3))
| ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ spl63_38
| ~ spl63_47 ),
inference(resolution,[],[f32342,f31374]) ).
fof(f32400,definition,
( spl63_49
<=> ! [X0,X1] :
( m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) ) ),
introduced(definition,[new_symbols(definition,[spl63_49])],[avatar_definition]) ).
fof(f32401,plain,
( ! [X0,X1] :
( ~ m2_rmod_4(X0,sK2,sK3,X1)
| m1_rmod_4(X0,sK2,sK3)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK3))) )
| ~ spl63_49 ),
inference(avatar_component_clause,[],[f32400]) ).
fof(f32402,plain,
( spl63_49
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(avatar_split_clause,[],[f28815,f27567,f25158,f25153,f32400]) ).
fof(f32404,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| ~ spl63_49 ),
inference(resolution,[],[f32401,f24935]) ).
fof(f32410,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| ~ spl63_49 ),
inference(duplicate_literal_removal,[],[f32404]) ).
fof(f32412,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32410,f25155]) ).
fof(f32414,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_17
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32412,f29376]) ).
fof(f32416,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_17
| ~ spl63_20
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32414,f29779]) ).
fof(f32418,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_13
| ~ spl63_17
| ~ spl63_20
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32416,f29154]) ).
fof(f32420,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_13
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32418,f29371]) ).
fof(f32422,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_8
| ~ spl63_13
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32420,f28930]) ).
fof(f32424,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_8
| ~ spl63_12
| ~ spl63_13
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32422,f29149]) ).
fof(f32426,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_8
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32424,f29159]) ).
fof(f32428,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_8
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32426,f29044]) ).
fof(f32430,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl63_1
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32428,f29039]) ).
fof(f32432,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32430,f25160]) ).
fof(f32434,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_19
| ~ spl63_20
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32432,f29586]) ).
fof(f32436,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32434,f30348]) ).
fof(f32438,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32436,f29164]) ).
fof(f32440,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_18
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32438,f29581]) ).
fof(f32442,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK2) )
| spl63_1
| spl63_2
| ~ spl63_8
| ~ spl63_9
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_18
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32440,f28935]) ).
fof(f32444,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| spl63_1
| spl63_2
| ~ spl63_4
| ~ spl63_8
| ~ spl63_9
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_18
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_49 ),
inference(forward_subsumption_resolution,[],[f32442,f27569]) ).
fof(f32447,definition,
( spl63_50
<=> ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) ) ),
introduced(definition,[new_symbols(definition,[spl63_50])],[avatar_definition]) ).
fof(f32448,plain,
( ! [X0] :
( k1_rlvect_1(sK3) = k5_rmod_4(sK2,sK3,X0)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| ~ spl63_50 ),
inference(avatar_component_clause,[],[f32447]) ).
fof(f32449,plain,
( spl63_50
| spl63_1
| spl63_2
| ~ spl63_4 ),
inference(avatar_split_clause,[],[f28796,f27567,f25158,f25153,f32447]) ).
fof(f32450,plain,
( ! [X0] :
( m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(sK3))
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| ~ spl63_50 ),
inference(superposition,[],[f24949,f32448]) ).
fof(f32453,plain,
( ! [X0] :
( v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_5
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32450,f28890]) ).
fof(f32454,plain,
( ! [X0] :
( ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_5
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32453,f25155]) ).
fof(f32455,plain,
( ! [X0] :
( ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_5
| ~ spl63_17
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32454,f29376]) ).
fof(f32456,plain,
( ! [X0] :
( ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_5
| ~ spl63_17
| ~ spl63_20
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32455,f29779]) ).
fof(f32457,plain,
( ! [X0] :
( ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_5
| ~ spl63_13
| ~ spl63_17
| ~ spl63_20
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32456,f29154]) ).
fof(f32458,plain,
( ! [X0] :
( ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_5
| ~ spl63_13
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32457,f29371]) ).
fof(f32459,plain,
( ! [X0] :
( ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_5
| ~ spl63_8
| ~ spl63_13
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32458,f28930]) ).
fof(f32460,plain,
( ! [X0] :
( ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_5
| ~ spl63_8
| ~ spl63_12
| ~ spl63_13
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32459,f29149]) ).
fof(f32461,plain,
( ! [X0] :
( ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_5
| ~ spl63_8
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32460,f29159]) ).
fof(f32462,plain,
( ! [X0] :
( ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_5
| ~ spl63_8
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32461,f29044]) ).
fof(f32463,plain,
( ! [X0] :
( v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_5
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32462,f29039]) ).
fof(f32464,plain,
( ! [X0] :
( ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_2
| spl63_5
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32463,f25160]) ).
fof(f32465,plain,
( ! [X0] :
( ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_2
| spl63_5
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_19
| ~ spl63_20
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32464,f29586]) ).
fof(f32466,plain,
( ! [X0] :
( ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_2
| spl63_5
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32465,f30348]) ).
fof(f32467,plain,
( ! [X0] :
( ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_2
| spl63_5
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32466,f29164]) ).
fof(f32468,plain,
( ! [X0] :
( ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_2
| spl63_5
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_18
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32467,f29581]) ).
fof(f32469,plain,
( ! [X0] :
( ~ l1_vectsp_2(sK3,sK2)
| ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_2
| spl63_5
| ~ spl63_8
| ~ spl63_9
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_18
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32468,f28935]) ).
fof(f32470,plain,
( ! [X0] :
( ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) )
| spl63_1
| spl63_2
| ~ spl63_4
| spl63_5
| ~ spl63_8
| ~ spl63_9
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_18
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_50 ),
inference(forward_subsumption_resolution,[],[f32469,f27569]) ).
fof(f32609,definition,
( spl63_57
<=> ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(sK3)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_rmod_2(X0,sK2,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl63_57])],[avatar_definition]) ).
fof(f32610,plain,
( ! [X0,X1] :
( ~ v1_rmod_5(k8_rlvect_2(X0,X1,k1_rlvect_1(sK3)),sK2,X0)
| ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_rmod_2(X0,sK2,sK3) )
| ~ spl63_57 ),
inference(avatar_component_clause,[],[f32609]) ).
fof(f32611,plain,
( spl63_57
| spl63_1
| spl63_2
| ~ spl63_4
| ~ spl63_39
| ~ spl63_44 ),
inference(avatar_split_clause,[],[f31713,f31542,f31449,f27567,f25158,f25153,f32609]) ).
fof(f32733,definition,
( spl63_61
<=> ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) ) ),
introduced(definition,[new_symbols(definition,[spl63_61])],[avatar_definition]) ).
fof(f32734,plain,
( ! [X0] :
( m1_rmod_4(sK25(sK2,sK3,X0),sK2,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK3))) )
| ~ spl63_61 ),
inference(avatar_component_clause,[],[f32733]) ).
fof(f32735,plain,
( spl63_61
| spl63_1
| spl63_2
| ~ spl63_4
| ~ spl63_8
| ~ spl63_9
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_18
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_49 ),
inference(avatar_split_clause,[],[f32444,f32400,f30346,f29777,f29584,f29579,f29374,f29369,f29162,f29157,f29152,f29147,f29042,f29037,f28933,f28928,f27567,f25158,f25153,f32733]) ).
fof(f32777,definition,
( spl63_63
<=> ! [X0] :
( ~ m1_rmod_4(X0,sK2,sK3)
| ~ m2_rmod_4(X0,sK2,sK3,np__0) ) ),
introduced(definition,[new_symbols(definition,[spl63_63])],[avatar_definition]) ).
fof(f32778,plain,
( ! [X0] :
( ~ m2_rmod_4(X0,sK2,sK3,np__0)
| ~ m1_rmod_4(X0,sK2,sK3) )
| ~ spl63_63 ),
inference(avatar_component_clause,[],[f32777]) ).
fof(f32779,plain,
( spl63_63
| spl63_1
| spl63_2
| ~ spl63_4
| spl63_5
| ~ spl63_8
| ~ spl63_9
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_18
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_50 ),
inference(avatar_split_clause,[],[f32470,f32447,f30346,f29777,f29584,f29579,f29374,f29369,f29162,f29157,f29152,f29147,f29042,f29037,f28933,f28928,f28888,f27567,f25158,f25153,f32777]) ).
fof(f34931,plain,
( ~ m1_rmod_4(sK25(sK2,sK3,np__0),sK2,sK3)
| v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ spl63_63 ),
inference(resolution,[],[f32778,f24935]) ).
fof(f34950,plain,
( v3_struct_0(sK2)
| ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34931,f32734]) ).
fof(f34953,plain,
( ~ v3_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34950,f25155]) ).
fof(f34956,plain,
( ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| ~ spl63_17
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34953,f29376]) ).
fof(f34959,plain,
( ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| ~ spl63_17
| ~ spl63_20
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34956,f29779]) ).
fof(f34962,plain,
( ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| ~ spl63_13
| ~ spl63_17
| ~ spl63_20
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34959,f29154]) ).
fof(f34965,plain,
( ~ v4_group_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| ~ spl63_13
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34962,f29371]) ).
fof(f34968,plain,
( ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| ~ spl63_8
| ~ spl63_13
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34965,f28930]) ).
fof(f34971,plain,
( ~ v7_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| ~ spl63_8
| ~ spl63_12
| ~ spl63_13
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34968,f29149]) ).
fof(f34974,plain,
( ~ v8_vectsp_1(sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| ~ spl63_8
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34971,f29159]) ).
fof(f34977,plain,
( ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| ~ spl63_8
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34974,f29044]) ).
fof(f34980,plain,
( v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34977,f29039]) ).
fof(f34983,plain,
( ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| spl63_2
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_20
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34980,f25160]) ).
fof(f34986,plain,
( ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| spl63_2
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_19
| ~ spl63_20
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34983,f29586]) ).
fof(f34989,plain,
( ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| spl63_2
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_16
| ~ spl63_17
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34986,f30348]) ).
fof(f34992,plain,
( ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| spl63_2
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34989,f29164]) ).
fof(f34995,plain,
( ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| spl63_2
| ~ spl63_8
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_18
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34992,f29581]) ).
fof(f34998,plain,
( ~ l1_vectsp_2(sK3,sK2)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| spl63_2
| ~ spl63_8
| ~ spl63_9
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_18
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34995,f28935]) ).
fof(f35001,plain,
( ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK3)))
| spl63_1
| spl63_2
| ~ spl63_4
| ~ spl63_8
| ~ spl63_9
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_18
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f34998,f27569]) ).
fof(f35003,plain,
( $false
| spl63_1
| spl63_2
| ~ spl63_4
| ~ spl63_8
| ~ spl63_9
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_18
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_61
| ~ spl63_63 ),
inference(forward_subsumption_resolution,[],[f35001,f25072]) ).
fof(f35004,plain,
( spl63_1
| spl63_2
| ~ spl63_4
| ~ spl63_8
| ~ spl63_9
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_18
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_61
| ~ spl63_63 ),
inference(avatar_contradiction_clause,[],[f35003]) ).
fof(f35012,plain,
( ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ spl63_28
| ~ spl63_38
| ~ spl63_47 ),
inference(forward_subsumption_resolution,[],[f32348,f31199]) ).
fof(f35023,plain,
( v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ spl63_5
| ~ spl63_28
| ~ spl63_38
| ~ spl63_47 ),
inference(forward_subsumption_resolution,[],[f35012,f28889]) ).
fof(f35033,plain,
( ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| spl63_2
| ~ spl63_5
| ~ spl63_28
| ~ spl63_38
| ~ spl63_47 ),
inference(forward_subsumption_resolution,[],[f35023,f25160]) ).
fof(f35043,plain,
( ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| spl63_2
| ~ spl63_5
| ~ spl63_19
| ~ spl63_28
| ~ spl63_38
| ~ spl63_47 ),
inference(forward_subsumption_resolution,[],[f35033,f29586]) ).
fof(f35053,plain,
( ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| spl63_2
| ~ spl63_5
| ~ spl63_19
| ~ spl63_21
| ~ spl63_28
| ~ spl63_38
| ~ spl63_47 ),
inference(forward_subsumption_resolution,[],[f35043,f30348]) ).
fof(f35063,plain,
( ~ v6_rlvect_1(sK3)
| ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| spl63_2
| ~ spl63_5
| ~ spl63_15
| ~ spl63_19
| ~ spl63_21
| ~ spl63_28
| ~ spl63_38
| ~ spl63_47 ),
inference(forward_subsumption_resolution,[],[f35053,f29164]) ).
fof(f35067,plain,
( ~ v5_vectsp_2(sK3,sK2)
| ~ l1_vectsp_2(sK3,sK2)
| spl63_2
| ~ spl63_5
| ~ spl63_15
| ~ spl63_18
| ~ spl63_19
| ~ spl63_21
| ~ spl63_28
| ~ spl63_38
| ~ spl63_47 ),
inference(forward_subsumption_resolution,[],[f35063,f29581]) ).
fof(f35069,plain,
( ~ l1_vectsp_2(sK3,sK2)
| spl63_2
| ~ spl63_5
| ~ spl63_9
| ~ spl63_15
| ~ spl63_18
| ~ spl63_19
| ~ spl63_21
| ~ spl63_28
| ~ spl63_38
| ~ spl63_47 ),
inference(forward_subsumption_resolution,[],[f35067,f28935]) ).
fof(f35071,plain,
( $false
| spl63_2
| ~ spl63_4
| ~ spl63_5
| ~ spl63_9
| ~ spl63_15
| ~ spl63_18
| ~ spl63_19
| ~ spl63_21
| ~ spl63_28
| ~ spl63_38
| ~ spl63_47 ),
inference(forward_subsumption_resolution,[],[f35069,f27569]) ).
fof(f35072,plain,
( spl63_2
| ~ spl63_4
| ~ spl63_5
| ~ spl63_9
| ~ spl63_15
| ~ spl63_18
| ~ spl63_19
| ~ spl63_21
| ~ spl63_28
| ~ spl63_38
| ~ spl63_47 ),
inference(avatar_contradiction_clause,[],[f35071]) ).
fof(f35120,plain,
( ! [X0] :
( m1_subset_1(k1_rlvect_1(X0),u1_struct_0(sK3))
| ~ m1_rmod_2(X0,sK2,sK3) )
| ~ spl63_5
| ~ spl63_44 ),
inference(superposition,[],[f28889,f31543]) ).
fof(f35606,plain,
( ~ m1_subset_1(k1_rlvect_1(sK3),u1_struct_0(sK3))
| ~ m1_subset_1(sK4,u1_struct_0(sK3))
| ~ m1_rmod_2(sK3,sK2,sK3)
| ~ spl63_48
| ~ spl63_57 ),
inference(resolution,[],[f32346,f32610]) ).
fof(f35626,plain,
( ~ m1_subset_1(sK4,u1_struct_0(sK3))
| ~ m1_rmod_2(sK3,sK2,sK3)
| ~ spl63_5
| ~ spl63_44
| ~ spl63_48
| ~ spl63_57 ),
inference(forward_subsumption_resolution,[],[f35606,f35120]) ).
fof(f35636,plain,
( ~ m1_rmod_2(sK3,sK2,sK3)
| ~ spl63_5
| ~ spl63_28
| ~ spl63_44
| ~ spl63_48
| ~ spl63_57 ),
inference(forward_subsumption_resolution,[],[f35626,f31199]) ).
fof(f35644,plain,
( $false
| ~ spl63_5
| ~ spl63_28
| ~ spl63_44
| ~ spl63_45
| ~ spl63_48
| ~ spl63_57 ),
inference(forward_subsumption_resolution,[],[f35636,f31718]) ).
fof(f35645,plain,
( ~ spl63_5
| ~ spl63_28
| ~ spl63_44
| ~ spl63_45
| ~ spl63_48
| ~ spl63_57 ),
inference(avatar_contradiction_clause,[],[f35644]) ).
cnf(s1,plain,
~ spl63_1,
inference(sat_conversion,[],[f25156]) ).
cnf(s2,plain,
~ spl63_2,
inference(sat_conversion,[],[f25161]) ).
cnf(s3,plain,
~ spl63_3,
inference(sat_conversion,[],[f25166]) ).
cnf(s4,plain,
spl63_4,
inference(sat_conversion,[],[f27570]) ).
cnf(s7,plain,
spl63_8,
inference(sat_conversion,[],[f28931]) ).
cnf(s8,plain,
spl63_9,
inference(sat_conversion,[],[f28936]) ).
cnf(s9,plain,
spl63_10,
inference(sat_conversion,[],[f29040]) ).
cnf(s10,plain,
spl63_11,
inference(sat_conversion,[],[f29045]) ).
cnf(s11,plain,
spl63_12,
inference(sat_conversion,[],[f29150]) ).
cnf(s12,plain,
spl63_13,
inference(sat_conversion,[],[f29155]) ).
cnf(s13,plain,
spl63_14,
inference(sat_conversion,[],[f29160]) ).
cnf(s14,plain,
spl63_15,
inference(sat_conversion,[],[f29165]) ).
cnf(s15,plain,
spl63_16,
inference(sat_conversion,[],[f29372]) ).
cnf(s16,plain,
spl63_17,
inference(sat_conversion,[],[f29377]) ).
cnf(s17,plain,
spl63_18,
inference(sat_conversion,[],[f29582]) ).
cnf(s18,plain,
spl63_19,
inference(sat_conversion,[],[f29587]) ).
cnf(s19,plain,
spl63_20,
inference(sat_conversion,[],[f29780]) ).
cnf(s20,plain,
spl63_21,
inference(sat_conversion,[],[f30349]) ).
cnf(s26,plain,
spl63_28,
inference(sat_conversion,[],[f31200]) ).
cnf(s30,plain,
( spl63_1
| spl63_3
| spl63_38 ),
inference(sat_conversion,[],[f31375]) ).
cnf(s31,plain,
( spl63_1
| spl63_3
| spl63_39 ),
inference(sat_conversion,[],[f31451]) ).
cnf(s35,plain,
( spl63_1
| spl63_2
| ~ spl63_4
| spl63_44 ),
inference(sat_conversion,[],[f31544]) ).
cnf(s36,plain,
( spl63_1
| spl63_2
| ~ spl63_4
| spl63_45 ),
inference(sat_conversion,[],[f31719]) ).
cnf(s38,plain,
( spl63_47
| spl63_48 ),
inference(sat_conversion,[],[f32347]) ).
cnf(s39,plain,
( spl63_1
| spl63_2
| ~ spl63_4
| spl63_49 ),
inference(sat_conversion,[],[f32402]) ).
cnf(s40,plain,
( spl63_1
| spl63_2
| ~ spl63_4
| spl63_50 ),
inference(sat_conversion,[],[f32449]) ).
cnf(s47,plain,
( spl63_1
| spl63_2
| ~ spl63_4
| ~ spl63_39
| ~ spl63_44
| spl63_57 ),
inference(sat_conversion,[],[f32611]) ).
cnf(s50,plain,
( spl63_1
| spl63_2
| ~ spl63_4
| ~ spl63_8
| ~ spl63_9
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_18
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_49
| spl63_61 ),
inference(sat_conversion,[],[f32735]) ).
cnf(s52,plain,
( spl63_1
| spl63_2
| ~ spl63_4
| spl63_5
| ~ spl63_8
| ~ spl63_9
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_18
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_50
| spl63_63 ),
inference(sat_conversion,[],[f32779]) ).
cnf(s67,plain,
( spl63_1
| spl63_2
| ~ spl63_4
| ~ spl63_8
| ~ spl63_9
| ~ spl63_10
| ~ spl63_11
| ~ spl63_12
| ~ spl63_13
| ~ spl63_14
| ~ spl63_15
| ~ spl63_16
| ~ spl63_17
| ~ spl63_18
| ~ spl63_19
| ~ spl63_20
| ~ spl63_21
| ~ spl63_61
| ~ spl63_63 ),
inference(sat_conversion,[],[f35004]) ).
cnf(s68,plain,
( spl63_2
| ~ spl63_4
| ~ spl63_5
| ~ spl63_9
| ~ spl63_15
| ~ spl63_18
| ~ spl63_19
| ~ spl63_21
| ~ spl63_28
| ~ spl63_38
| ~ spl63_47 ),
inference(sat_conversion,[],[f35072]) ).
cnf(s77,plain,
( ~ spl63_5
| ~ spl63_28
| ~ spl63_44
| ~ spl63_45
| ~ spl63_48
| ~ spl63_57 ),
inference(sat_conversion,[],[f35645]) ).
cnf(s92,plain,
spl63_50,
inference(rat,[],[s40,s2,s4,s1]) ).
cnf(s93,plain,
spl63_49,
inference(rat,[],[s39,s2,s4,s1]) ).
cnf(s94,plain,
spl63_45,
inference(rat,[],[s36,s2,s4,s1]) ).
cnf(s95,plain,
spl63_44,
inference(rat,[],[s35,s2,s4,s1]) ).
cnf(s97,plain,
spl63_39,
inference(rat,[],[s31,s3,s1]) ).
cnf(s98,plain,
spl63_38,
inference(rat,[],[s30,s3,s1]) ).
cnf(s105,plain,
spl63_61,
inference(rat,[],[s50,s1,s2,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s7,s4,s93]) ).
cnf(s111,plain,
spl63_57,
inference(rat,[],[s47,s95,s1,s2,s4,s97]) ).
cnf(s113,plain,
~ spl63_63,
inference(rat,[],[s67,s1,s2,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s7,s4,s105]) ).
cnf(s114,plain,
spl63_5,
inference(rat,[],[s52,s92,s1,s20,s19,s18,s17,s16,s15,s14,s13,s12,s11,s10,s9,s8,s7,s2,s4,s113]) ).
cnf(s115,plain,
~ spl63_48,
inference(rat,[],[s77,s111,s95,s94,s26,s114]) ).
cnf(s121,plain,
~ spl63_47,
inference(rat,[],[s68,s98,s2,s26,s20,s18,s17,s14,s8,s4,s114]) ).
cnf(s124,plain,
$false,
inference(rat,[],[s38,s115,s121]) ).
fof(f35739,plain,
$false,
inference(avatar_sat_refutation,[],[s124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG216+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.27 % Computer : n010.cluster.edu
% 0.24/0.27 % Model : x86_64 x86_64
% 0.24/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.27 % Memory : 8046.5625MB
% 0.24/0.27 % OS : Linux 6.8.0-71-generic
% 0.24/0.27 % CPULimit : 300
% 0.24/0.27 % WCLimit : 300
% 0.24/0.27 % DateTime : Mon Sep 28 19:45:36 UTC 2026
% 0.24/0.28 % CPUTime :
% 0.24/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.32 Running first-order theorem proving
% 0.24/0.32 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
% 12.51/5.80 % (2247088)Detected formulas, will run a generic FOF schedule.
% 12.51/5.80 % (2247103)dis-21_1_sil=8000:lcm=predicate:random_seed=252569421:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2981 on theBenchmark for (2981ds/129Mi)
% 12.51/5.80 % (2247102)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1400368194:s2a=on:i=139:gtg=position_2981 on theBenchmark for (2981ds/139Mi)
% 12.51/5.80 % (2247097)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=1625362179:i=141193_2981 on theBenchmark for (2981ds/141193Mi)
% 12.51/5.80 % (2247098)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=4265001136:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2981 on theBenchmark for (2981ds/134677Mi)
% 12.51/5.80 % (2247101)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2159291781:i=119:av=off:ss=axioms_2981 on theBenchmark for (2981ds/119Mi)
% 12.51/5.80 % (2247100)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=403024464:i=109:sd=1:ins=1:gsp=on:ss=axioms_2981 on theBenchmark for (2981ds/109Mi)
% 12.51/5.80 % (2247099)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=375644344:i=141695:sd=1:nm=32:gsp=on:ss=included_2981 on theBenchmark for (2981ds/141695Mi)
% 12.51/5.80 % (2247103)Instruction limit reached!
% 12.51/5.80 % (2247103)------------------------------
% 12.51/5.80 % (2247103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/5.80 % (2247103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/5.80 % (2247103)CaDiCaL version: 2.1.3
% 12.51/5.80 % (2247103)Termination reason: Instruction limit
% 12.51/5.80 % (2247103)Termination phase: SInE selection
% 12.51/5.80 % (2247103)Time elapsed: 0.085 s
% 12.51/5.80 % (2247103)Peak memory usage: 118 MB
% 12.51/5.80 % (2247103)Instructions burned: 129 (million)
% 12.51/5.80 % (2247102)Instruction limit reached!
% 12.51/5.80 % (2247102)------------------------------
% 12.51/5.80 % (2247102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/5.80 % (2247102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/5.80 % (2247102)CaDiCaL version: 2.1.3
% 12.51/5.80 % (2247102)Termination reason: Instruction limit
% 12.51/5.80 % (2247102)Termination phase: Property scanning
% 12.51/5.80 % (2247102)Time elapsed: 0.117 s
% 12.51/5.80 % (2247102)Peak memory usage: 118 MB
% 12.51/5.80 % (2247102)Instructions burned: 139 (million)
% 12.51/5.80 % (2247100)Instruction limit reached!
% 12.51/5.80 % (2247100)------------------------------
% 12.51/5.80 % (2247100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/5.80 % (2247100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/5.80 % (2247100)CaDiCaL version: 2.1.3
% 12.51/5.80 % (2247100)Termination reason: Instruction limit
% 12.51/5.80 % (2247100)Termination phase: SInE selection
% 12.51/5.80 % (2247100)Time elapsed: 0.114 s
% 12.51/5.80 % (2247100)Peak memory usage: 118 MB
% 12.51/5.80 % (2247100)Instructions burned: 109 (million)
% 12.51/5.80 % (2247101)Instruction limit reached!
% 12.51/5.80 % (2247101)------------------------------
% 12.51/5.80 % (2247101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/5.80 % (2247101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/5.80 % (2247101)CaDiCaL version: 2.1.3
% 12.51/5.80 % (2247101)Termination reason: Instruction limit
% 12.51/5.80 % (2247101)Termination phase: SInE selection
% 12.51/5.80 % (2247101)Time elapsed: 0.125 s
% 12.51/5.80 % (2247101)Peak memory usage: 118 MB
% 12.51/5.80 % (2247101)Instructions burned: 120 (million)
% 12.51/5.80 % (2247111)lrs+10_1_sil=8000:sp=occurrence:random_seed=2619702959:i=285:sd=3:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/285Mi)
% 12.51/5.80 % (2247112)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2977434647:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/157Mi)
% 12.51/5.80 % (2247113)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1369608956:i=325:sd=1:ss=axioms:sgt=32_2977 on theBenchmark for (2977ds/325Mi)
% 12.51/5.80 % (2247114)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=3208130507:s2a=on:i=248:s2at=1.23:gtg=position_2977 on theBenchmark for (2977ds/248Mi)
% 12.51/5.80 % (2247112)Instruction limit reached!
% 12.51/5.80 % (2247112)------------------------------
% 12.51/5.80 % (2247112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/5.80 % (2247112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/5.80 % (2247112)CaDiCaL version: 2.1.3
% 12.51/5.80 % (2247112)Termination reason: Instruction limit
% 12.51/5.80 % (2247112)Termination phase: Property scanning
% 12.51/5.80 % (2247112)Time elapsed: 0.129 s
% 12.51/5.80 % (2247112)Peak memory usage: 118 MB
% 12.51/5.80 % (2247112)Instructions burned: 158 (million)
% 12.51/5.80 % (2247113)Refutation not found, incomplete strategy
% 12.51/5.80 % (2247113)------------------------------
% 12.51/5.80 % (2247113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/5.80 % (2247113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/5.80 % (2247113)CaDiCaL version: 2.1.3
% 12.51/5.80 % (2247113)Termination reason: Refutation not found, incomplete strategy
% 12.51/5.80 % (2247113)Time elapsed: 0.111 s
% 12.51/5.80 % (2247113)Peak memory usage: 124 MB
% 12.51/5.80 % (2247113)Instructions burned: 151 (million)
% 12.51/5.80 % (2247114)Instruction limit reached!
% 12.51/5.80 % (2247114)------------------------------
% 12.51/5.80 % (2247114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/5.80 % (2247114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/5.80 % (2247114)CaDiCaL version: 2.1.3
% 12.51/5.80 % (2247114)Termination reason: Instruction limit
% 12.51/5.80 % (2247114)Termination phase: Property scanning
% 12.51/5.80 % (2247114)Time elapsed: 0.140 s
% 12.51/5.80 % (2247114)Peak memory usage: 118 MB
% 12.51/5.80 % (2247114)Instructions burned: 248 (million)
% 12.51/5.80 % (2247111)Instruction limit reached!
% 12.51/5.80 % (2247111)------------------------------
% 12.51/5.80 % (2247111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/5.80 % (2247111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/5.80 % (2247111)CaDiCaL version: 2.1.3
% 12.51/5.80 % (2247111)Termination reason: Instruction limit
% 12.51/5.80 % (2247111)Termination phase: Saturation
% 12.51/5.80 % (2247111)Time elapsed: 0.311 s
% 12.51/5.80 % (2247111)Peak memory usage: 125 MB
% 12.51/5.80 % (2247111)Instructions burned: 286 (million)
% 12.51/5.80 % (2247119)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2054953383:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 12.51/5.80 % (2247113)------------------------------
% 12.51/5.80 % (2247113)------------------------------
% 12.51/5.80 % (2247120)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3590566518:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 12.51/5.80 % (2247121)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1647241657:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 12.51/5.80 % (2247119)Instruction limit reached!
% 12.51/5.80 % (2247119)------------------------------
% 12.51/5.80 % (2247119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/5.80 % (2247119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/5.80 % (2247119)CaDiCaL version: 2.1.3
% 12.51/5.80 % (2247119)Termination reason: Instruction limit
% 12.51/5.80 % (2247119)Termination phase: Preprocessing 3
% 12.51/5.80 % (2247119)Time elapsed: 0.231 s
% 12.51/5.80 % (2247119)Peak memory usage: 124 MB
% 12.51/5.80 % (2247119)Instructions burned: 294 (million)
% 12.51/5.80 % (2247123)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1497129791:i=127:av=off:fsr=off:sup=off_2971 on theBenchmark for (2971ds/127Mi)
% 12.51/5.80 % (2247121)Instruction limit reached!
% 12.51/5.80 % (2247121)------------------------------
% 12.51/5.80 % (2247121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/5.80 % (2247121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/5.80 % (2247121)CaDiCaL version: 2.1.3
% 12.51/5.80 % (2247121)Termination reason: Instruction limit
% 12.51/5.80 % (2247121)Termination phase: SInE selection
% 12.51/5.80 % (2247121)Time elapsed: 0.134 s
% 12.51/5.80 % (2247121)Peak memory usage: 118 MB
% 12.51/5.80 % (2247121)Instructions burned: 113 (million)
% 12.51/5.80 % (2247123)Instruction limit reached!
% 12.51/5.80 % (2247123)------------------------------
% 12.51/5.80 % (2247123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/5.80 % (2247123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/5.80 % (2247123)CaDiCaL version: 2.1.3
% 12.51/5.80 % (2247123)Termination reason: Instruction limit
% 12.51/5.80 % (2247123)Termination phase: Preprocessing 1
% 12.51/5.80 % (2247123)Time elapsed: 0.088 s
% 12.51/5.80 % (2247123)Peak memory usage: 119 MB
% 12.51/5.80 % (2247123)Instructions burned: 128 (million)
% 12.51/5.80 % (2247126)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1974991150:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2969 on theBenchmark for (2969ds/114Mi)
% 12.51/5.80 % (2247129)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4244508216:i=437:sd=1:aac=none:ss=included_2968 on theBenchmark for (2968ds/437Mi)
% 12.51/5.80 % (2247128)lrs+10_1_sil=8000:sp=occurrence:random_seed=194512995:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2968 on theBenchmark for (2968ds/907Mi)
% 12.51/5.80 % (2247126)Instruction limit reached!
% 12.51/5.80 % (2247126)------------------------------
% 12.51/5.80 % (2247126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/5.80 % (2247126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/5.80 % (2247126)CaDiCaL version: 2.1.3
% 12.51/5.80 % (2247126)Termination reason: Instruction limit
% 12.51/5.80 % (2247126)Termination phase: Property scanning
% 12.51/5.80 % (2247126)Time elapsed: 0.093 s
% 12.51/5.80 % (2247126)Peak memory usage: 119 MB
% 12.51/5.80 % (2247126)Instructions burned: 117 (million)
% 12.51/5.80 % (2247129)Instruction limit reached!
% 12.51/5.80 % (2247129)------------------------------
% 12.51/5.80 % (2247129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/5.80 % (2247129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/5.80 % (2247129)CaDiCaL version: 2.1.3
% 12.51/5.80 % (2247129)Termination reason: Instruction limit
% 12.51/5.80 % (2247129)Termination phase: Saturation
% 12.51/5.80 % (2247129)Time elapsed: 0.189 s
% 12.51/5.80 % (2247129)Peak memory usage: 124 MB
% 12.51/5.80 % (2247129)Instructions burned: 439 (million)
% 12.51/5.80 % (2247133)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3823492193:i=5202:ss=axioms:sgt=16_2965 on theBenchmark for (2965ds/5202Mi)
% 12.51/5.80 % (2247136)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=120161419:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2964 on theBenchmark for (2964ds/134Mi)
% 12.51/5.80 % (2247136)Instruction limit reached!
% 12.51/5.80 % (2247136)------------------------------
% 12.51/5.80 % (2247136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/5.80 % (2247136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/5.80 % (2247136)CaDiCaL version: 2.1.3
% 12.51/5.80 % (2247136)Termination reason: Instruction limit
% 12.51/5.80 % (2247136)Termination phase: SInE selection
% 12.51/5.80 % (2247136)Time elapsed: 0.161 s
% 12.51/5.80 % (2247136)Peak memory usage: 118 MB
% 12.51/5.80 % (2247136)Instructions burned: 134 (million)
% 12.51/5.80 % (2247128)Instruction limit reached!
% 12.51/5.80 % (2247128)------------------------------
% 12.51/5.80 % (2247128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.51/5.80 % (2247128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.51/5.80 % (2247128)CaDiCaL version: 2.1.3
% 12.51/5.80 % (2247128)Termination reason: Instruction limit
% 12.51/5.80 % (2247128)Termination phase: Function definition elimination
% 12.51/5.80 % (2247128)Time elapsed: 0.913 s
% 12.51/5.80 % (2247128)Peak memory usage: 142 MB
% 12.51/5.80 % (2247128)Instructions burned: 907 (million)
% 12.51/5.80 % (2247139)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1264416550:st=8:i=592:sd=3:ep=RST:ss=axioms_2959 on theBenchmark for (2959ds/592Mi)
% 12.51/5.80 % (2247099)First to succeed.
% 12.51/5.80 % (2247099)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2247088"
% 12.51/5.80 % (2247140)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3638510775:st=3:i=13193:sd=3:ss=axioms_2956 on theBenchmark for (2956ds/13193Mi)
% 12.51/5.80 % (2247099)Refutation found. Thanks to Tanya!
% 12.51/5.80 % SZS status Theorem for theBenchmark
% 12.51/5.80 % SZS output start Proof for theBenchmark
% See solution above
% 23.59/6.17 % (2247099)------------------------------
% 23.59/6.17 % (2247099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.59/6.17 % (2247099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.59/6.17 % (2247099)CaDiCaL version: 2.1.3
% 23.59/6.17 % (2247099)Termination reason: Refutation
% 23.59/6.17 % (2247099)Time elapsed: 2.301 s
% 23.59/6.17 % (2247099)Peak memory usage: 179 MB
% 23.59/6.17 % (2247099)Instructions burned: 3419 (million)
% 23.59/6.17 % (2247099)------------------------------
% 23.59/6.17 % (2247099)------------------------------
% 23.59/6.17 % (2247088)Success in time 4.835 s
% 23.59/6.17 % Vampire exiting
%------------------------------------------------------------------------------