%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG217+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:19:22 AM UTC 2026
% Result : Theorem 24.51s 4.24s
% Output : Refutation 24.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 75
% Number of leaves : 32
% Syntax : Number of formulae : 780 ( 74 unt; 13 def)
% Number of atoms : 9337 ( 289 equ)
% Maximal formula atoms : 39 ( 11 avg)
% Number of connectives : 15686 (7129 ~;8093 |; 397 &)
% ( 20 <=>; 45 =>; 0 <=; 2 <~>)
% Maximal formula depth : 43 ( 14 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 14 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-4 aty)
% Number of variables : 1017 ( 0 sgn 996 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f481,axiom,
! [X0] : k1_subset_1(X0) = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_subset_1) ).
fof(f486,axiom,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset_1) ).
fof(f1962,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_card_1) ).
fof(f3156,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(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,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_rmod_2(X3,X1,X2)
=> ( r1_rlvect_1(X3,X0)
=> r1_rlvect_1(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_rmod_2) ).
fof(f3164,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)
=> r1_rlvect_1(X2,k1_rlvect_1(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_rmod_2) ).
fof(f3171,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(f3172,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v3_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v3_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& l1_vectsp_2(X2,X0) )
=> ( ( m1_rmod_2(X2,X0,X1)
& m1_rmod_2(X1,X0,X2) )
=> X2 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_rmod_2) ).
fof(f3177,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] :
( ( v3_vectsp_2(X2,X0)
& m1_rmod_2(X2,X0,X1) )
=> ! [X3] :
( ( v3_vectsp_2(X3,X0)
& m1_rmod_2(X3,X0,X1) )
=> ( ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( r1_rlvect_1(X2,X4)
<=> r1_rlvect_1(X3,X4) ) )
=> X2 = X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_rmod_2) ).
fof(f3188,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_rmod_2(X0,X2) = k1_rmod_2(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_rmod_2) ).
fof(f3189,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)
=> ! [X3] :
( m1_rmod_2(X3,X0,X1)
=> k1_rmod_2(X0,X2) = k1_rmod_2(X0,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_rmod_2) ).
fof(f3191,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)
=> m1_rmod_2(k1_rmod_2(X0,X1),X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_rmod_2) ).
fof(f3237,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(f3238,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_rmod_2) ).
fof(f3241,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) )
=> ( v3_vectsp_2(k1_rmod_2(X0,X1),X0)
& m1_rmod_2(k1_rmod_2(X0,X1),X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_rmod_2) ).
fof(f3379,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1)))
=> k5_rmod_4(X0,X1,X2) = k1_rlvect_1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_rmod_4) ).
fof(f3442,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(X1)
& l3_vectsp_1(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,X1)
& l1_vectsp_2(X2,X1) )
=> ( r2_hidden(X0,a_2_0_rmod_5(X1,X2))
<=> ? [X3] :
( m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
& X0 = k5_rmod_4(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_rmod_5) ).
fof(f3444,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0)
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_rmod_5) ).
fof(f3455,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v7_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(X1)
& l3_vectsp_1(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,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ( r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
<=> ? [X4] :
( m2_rmod_4(X4,X1,X2,X3)
& X0 = k5_rmod_4(X1,X2,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_rmod_5) ).
fof(f3457,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> k1_rmod_5(X0,X1,k1_subset_1(u1_struct_0(X1))) = k1_rmod_2(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_rmod_5) ).
fof(f3458,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> k1_rmod_5(X0,X1,k1_subset_1(u1_struct_0(X1))) = k1_rmod_2(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f3457]) ).
fof(f3472,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_rmod_5(X1,X2))
<=> ? [X3] :
( m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
& X0 = k5_rmod_4(X1,X2,X3) ) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(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,X1)
| ~ l1_vectsp_2(X2,X1) ),
inference(ennf_transformation,[],[f3442]) ).
fof(f3473,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_rmod_5(X1,X2))
<=> ? [X3] :
( m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
& X0 = k5_rmod_4(X1,X2,X3) ) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(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,X1)
| ~ l1_vectsp_2(X2,X1) ),
inference(flattening,[],[f3472]) ).
fof(f3476,plain,
! [X0,X1,X2] :
( ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(ennf_transformation,[],[f3444]) ).
fof(f3477,plain,
! [X0,X1,X2] :
( ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(flattening,[],[f3476]) ).
fof(f3492,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
<=> ? [X4] :
( m2_rmod_4(X4,X1,X2,X3)
& X0 = k5_rmod_4(X1,X2,X4) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(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,X1)
| ~ l1_vectsp_2(X2,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1) ),
inference(ennf_transformation,[],[f3455]) ).
fof(f3493,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
<=> ? [X4] :
( m2_rmod_4(X4,X1,X2,X3)
& X0 = k5_rmod_4(X1,X2,X4) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(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,X1)
| ~ l1_vectsp_2(X2,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1) ),
inference(flattening,[],[f3492]) ).
fof(f3496,plain,
? [X0] :
( ? [X1] :
( k1_rmod_2(X0,X1) != k1_rmod_5(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)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f3458]) ).
fof(f3497,plain,
? [X0] :
( ? [X1] :
( k1_rmod_2(X0,X1) != k1_rmod_5(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)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) ),
inference(flattening,[],[f3496]) ).
fof(f3506,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k5_rmod_4(X0,X1,X2) = k1_rlvect_1(X1)
| ~ m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f3379]) ).
fof(f3507,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,[],[f3506]) ).
fof(f3542,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( X2 = X3
| ? [X4] :
( ( r1_rlvect_1(X2,X4)
<~> r1_rlvect_1(X3,X4) )
& m1_subset_1(X4,u1_struct_0(X1)) )
| ~ v3_vectsp_2(X3,X0)
| ~ m1_rmod_2(X3,X0,X1) )
| ~ v3_vectsp_2(X2,X0)
| ~ 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,[],[f3177]) ).
fof(f3543,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( X2 = X3
| ? [X4] :
( ( r1_rlvect_1(X2,X4)
<~> r1_rlvect_1(X3,X4) )
& m1_subset_1(X4,u1_struct_0(X1)) )
| ~ v3_vectsp_2(X3,X0)
| ~ m1_rmod_2(X3,X0,X1) )
| ~ v3_vectsp_2(X2,X0)
| ~ 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,[],[f3542]) ).
fof(f3546,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X1
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f3172]) ).
fof(f3547,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X1
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f3546]) ).
fof(f3557,plain,
! [X0,X1] :
( ? [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(ennf_transformation,[],[f3238]) ).
fof(f3558,plain,
! [X0,X1] :
( ? [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(flattening,[],[f3557]) ).
fof(f3559,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,[],[f3237]) ).
fof(f3560,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,[],[f3559]) ).
fof(f3565,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,[],[f3171]) ).
fof(f3566,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,[],[f3565]) ).
fof(f3618,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_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,[],[f3164]) ).
fof(f3619,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_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,[],[f3618]) ).
fof(f3620,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X2,X0)
| ~ r1_rlvect_1(X3,X0)
| ~ m1_rmod_2(X3,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,X1)
| ~ l1_vectsp_2(X2,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(ennf_transformation,[],[f3156]) ).
fof(f3621,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X2,X0)
| ~ r1_rlvect_1(X3,X0)
| ~ m1_rmod_2(X3,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,X1)
| ~ l1_vectsp_2(X2,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(flattening,[],[f3620]) ).
fof(f3643,plain,
! [X0,X1] :
( ( v3_vectsp_2(k1_rmod_2(X0,X1),X0)
& m1_rmod_2(k1_rmod_2(X0,X1),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,[],[f3241]) ).
fof(f3644,plain,
! [X0,X1] :
( ( v3_vectsp_2(k1_rmod_2(X0,X1),X0)
& m1_rmod_2(k1_rmod_2(X0,X1),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,[],[f3643]) ).
fof(f3647,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_rmod_2(k1_rmod_2(X0,X1),X0,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(ennf_transformation,[],[f3191]) ).
fof(f3648,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_rmod_2(k1_rmod_2(X0,X1),X0,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(flattening,[],[f3647]) ).
fof(f3651,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_rmod_2(X0,X2) = k1_rmod_2(X0,X3)
| ~ m1_rmod_2(X3,X0,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,[],[f3189]) ).
fof(f3652,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_rmod_2(X0,X2) = k1_rmod_2(X0,X3)
| ~ m1_rmod_2(X3,X0,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,[],[f3651]) ).
fof(f3653,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_rmod_2(X0,X2) = k1_rmod_2(X0,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,[],[f3188]) ).
fof(f3654,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_rmod_2(X0,X2) = k1_rmod_2(X0,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,[],[f3653]) ).
fof(f4672,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_rmod_5(X1,X2))
| ! [X3] :
( ~ m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
| k5_rmod_4(X1,X2,X3) != X0 ) )
& ( ? [X3] :
( m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
& X0 = k5_rmod_4(X1,X2,X3) )
| ~ r2_hidden(X0,a_2_0_rmod_5(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(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,X1)
| ~ l1_vectsp_2(X2,X1) ),
inference(nnf_transformation,[],[f3473]) ).
fof(f4673,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_rmod_5(X1,X2))
| ! [X3] :
( ~ m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
| k5_rmod_4(X1,X2,X3) != X0 ) )
& ( ? [X4] :
( m2_rmod_4(X4,X1,X2,k1_subset_1(u1_struct_0(X2)))
& k5_rmod_4(X1,X2,X4) = X0 )
| ~ r2_hidden(X0,a_2_0_rmod_5(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(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,X1)
| ~ l1_vectsp_2(X2,X1) ),
inference(rectify,[],[f4672]) ).
fof(f4674,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_rmod_5(X1,X2))
| ! [X3] :
( ~ m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
| k5_rmod_4(X1,X2,X3) != X0 ) )
& ( ( m2_rmod_4(sK9(X0,X1,X2),X1,X2,k1_subset_1(u1_struct_0(X2)))
& k5_rmod_4(X1,X2,sK9(X0,X1,X2)) = X0 )
| ~ r2_hidden(X0,a_2_0_rmod_5(X1,X2)) ) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(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,X1)
| ~ l1_vectsp_2(X2,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X4,sK9(X0,X1,X2))],[f4673]) ).
fof(f4682,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
| ! [X4] :
( ~ m2_rmod_4(X4,X1,X2,X3)
| k5_rmod_4(X1,X2,X4) != X0 ) )
& ( ? [X4] :
( m2_rmod_4(X4,X1,X2,X3)
& X0 = k5_rmod_4(X1,X2,X4) )
| ~ r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(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,X1)
| ~ l1_vectsp_2(X2,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1) ),
inference(nnf_transformation,[],[f3493]) ).
fof(f4683,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
| ! [X4] :
( ~ m2_rmod_4(X4,X1,X2,X3)
| k5_rmod_4(X1,X2,X4) != X0 ) )
& ( ? [X5] :
( m2_rmod_4(X5,X1,X2,X3)
& k5_rmod_4(X1,X2,X5) = X0 )
| ~ r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(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,X1)
| ~ l1_vectsp_2(X2,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1) ),
inference(rectify,[],[f4682]) ).
fof(f4684,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
| ! [X4] :
( ~ m2_rmod_4(X4,X1,X2,X3)
| k5_rmod_4(X1,X2,X4) != X0 ) )
& ( ( m2_rmod_4(sK12(X0,X1,X2,X3),X1,X2,X3)
& k5_rmod_4(X1,X2,sK12(X0,X1,X2,X3)) = X0 )
| ~ r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(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,X1)
| ~ l1_vectsp_2(X2,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X5,sK12(X0,X1,X2,X3))],[f4683]) ).
fof(f4685,plain,
( k1_rmod_2(sK13,sK14) != k1_rmod_5(sK13,sK14,k1_subset_1(u1_struct_0(sK14)))
& ~ v3_struct_0(sK14)
& v3_rlvect_1(sK14)
& v4_rlvect_1(sK14)
& v5_rlvect_1(sK14)
& v6_rlvect_1(sK14)
& v5_vectsp_2(sK14,sK13)
& l1_vectsp_2(sK14,sK13)
& ~ v3_struct_0(sK13)
& v3_rlvect_1(sK13)
& v4_rlvect_1(sK13)
& v5_rlvect_1(sK13)
& v6_rlvect_1(sK13)
& v4_group_1(sK13)
& v7_group_1(sK13)
& v6_vectsp_1(sK13)
& v7_vectsp_1(sK13)
& v8_vectsp_1(sK13)
& ~ v10_vectsp_1(sK13)
& v2_vectsp_2(sK13)
& l3_vectsp_1(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f3497]) ).
fof(f4710,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( X2 = X3
| ? [X4] :
( ( ~ r1_rlvect_1(X3,X4)
| ~ r1_rlvect_1(X2,X4) )
& ( r1_rlvect_1(X3,X4)
| r1_rlvect_1(X2,X4) )
& m1_subset_1(X4,u1_struct_0(X1)) )
| ~ v3_vectsp_2(X3,X0)
| ~ m1_rmod_2(X3,X0,X1) )
| ~ v3_vectsp_2(X2,X0)
| ~ 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(nnf_transformation,[],[f3543]) ).
fof(f4711,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( X2 = X3
| ? [X4] :
( ( ~ r1_rlvect_1(X3,X4)
| ~ r1_rlvect_1(X2,X4) )
& ( r1_rlvect_1(X3,X4)
| r1_rlvect_1(X2,X4) )
& m1_subset_1(X4,u1_struct_0(X1)) )
| ~ v3_vectsp_2(X3,X0)
| ~ m1_rmod_2(X3,X0,X1) )
| ~ v3_vectsp_2(X2,X0)
| ~ 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,[],[f4710]) ).
fof(f4712,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( X2 = X3
| ( ( ~ r1_rlvect_1(X3,sK31(X1,X2,X3))
| ~ r1_rlvect_1(X2,sK31(X1,X2,X3)) )
& ( r1_rlvect_1(X3,sK31(X1,X2,X3))
| r1_rlvect_1(X2,sK31(X1,X2,X3)) )
& m1_subset_1(sK31(X1,X2,X3),u1_struct_0(X1)) )
| ~ v3_vectsp_2(X3,X0)
| ~ m1_rmod_2(X3,X0,X1) )
| ~ v3_vectsp_2(X2,X0)
| ~ 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(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X4,sK31(X1,X2,X3))],[f4711]) ).
fof(f4718,plain,
! [X0,X1] :
( m1_rmod_2(sK37(X0,X1),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(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(X2,sK37(X0,X1))],[f3558]) ).
fof(f5086,plain,
! [X2,X0,X1] :
( ~ v2_vectsp_2(X1)
| ~ r2_hidden(X0,a_2_0_rmod_5(X1,X2))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| k5_rmod_4(X1,X2,sK9(X0,X1,X2)) = X0
| ~ l3_vectsp_1(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,X1)
| ~ l1_vectsp_2(X2,X1) ),
inference(cnf_transformation,[],[f4674]) ).
fof(f5087,plain,
! [X2,X0,X1] :
( m2_rmod_4(sK9(X0,X1,X2),X1,X2,k1_subset_1(u1_struct_0(X2)))
| ~ r2_hidden(X0,a_2_0_rmod_5(X1,X2))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(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,X1)
| ~ l1_vectsp_2(X2,X1) ),
inference(cnf_transformation,[],[f4674]) ).
fof(f5088,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_2_0_rmod_5(X1,X2))
| ~ m2_rmod_4(X3,X1,X2,k1_subset_1(u1_struct_0(X2)))
| k5_rmod_4(X1,X2,X3) != X0
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(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,X1)
| ~ l1_vectsp_2(X2,X1) ),
inference(cnf_transformation,[],[f4674]) ).
fof(f5092,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) ),
inference(cnf_transformation,[],[f3477]) ).
fof(f5093,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f3477]) ).
fof(f5107,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
| k5_rmod_4(X1,X2,sK12(X0,X1,X2,X3)) = X0
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1) ),
inference(cnf_transformation,[],[f4684]) ).
fof(f5108,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r1_rlvect_1(k1_rmod_5(X1,X2,X3),X0)
| m2_rmod_4(sK12(X0,X1,X2,X3),X1,X2,X3)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1) ),
inference(cnf_transformation,[],[f4684]) ).
fof(f5111,plain,
l3_vectsp_1(sK13),
inference(cnf_transformation,[],[f4685]) ).
fof(f5112,plain,
v2_vectsp_2(sK13),
inference(cnf_transformation,[],[f4685]) ).
fof(f5113,plain,
~ v10_vectsp_1(sK13),
inference(cnf_transformation,[],[f4685]) ).
fof(f5114,plain,
v8_vectsp_1(sK13),
inference(cnf_transformation,[],[f4685]) ).
fof(f5115,plain,
v7_vectsp_1(sK13),
inference(cnf_transformation,[],[f4685]) ).
fof(f5116,plain,
v6_vectsp_1(sK13),
inference(cnf_transformation,[],[f4685]) ).
fof(f5117,plain,
v7_group_1(sK13),
inference(cnf_transformation,[],[f4685]) ).
fof(f5118,plain,
v4_group_1(sK13),
inference(cnf_transformation,[],[f4685]) ).
fof(f5119,plain,
v6_rlvect_1(sK13),
inference(cnf_transformation,[],[f4685]) ).
fof(f5120,plain,
v5_rlvect_1(sK13),
inference(cnf_transformation,[],[f4685]) ).
fof(f5121,plain,
v4_rlvect_1(sK13),
inference(cnf_transformation,[],[f4685]) ).
fof(f5122,plain,
v3_rlvect_1(sK13),
inference(cnf_transformation,[],[f4685]) ).
fof(f5123,plain,
~ v3_struct_0(sK13),
inference(cnf_transformation,[],[f4685]) ).
fof(f5124,plain,
l1_vectsp_2(sK14,sK13),
inference(cnf_transformation,[],[f4685]) ).
fof(f5125,plain,
v5_vectsp_2(sK14,sK13),
inference(cnf_transformation,[],[f4685]) ).
fof(f5126,plain,
v6_rlvect_1(sK14),
inference(cnf_transformation,[],[f4685]) ).
fof(f5127,plain,
v5_rlvect_1(sK14),
inference(cnf_transformation,[],[f4685]) ).
fof(f5128,plain,
v4_rlvect_1(sK14),
inference(cnf_transformation,[],[f4685]) ).
fof(f5129,plain,
v3_rlvect_1(sK14),
inference(cnf_transformation,[],[f4685]) ).
fof(f5130,plain,
~ v3_struct_0(sK14),
inference(cnf_transformation,[],[f4685]) ).
fof(f5131,plain,
k1_rmod_2(sK13,sK14) != k1_rmod_5(sK13,sK14,k1_subset_1(u1_struct_0(sK14))),
inference(cnf_transformation,[],[f4685]) ).
fof(f5142,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,[],[f3507]) ).
fof(f5148,plain,
! [X0] : k1_xboole_0 = k1_subset_1(X0),
inference(cnf_transformation,[],[f481]) ).
fof(f5210,plain,
! [X0] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f486]) ).
fof(f5220,plain,
! [X2,X3,X0,X1] :
( ~ v8_vectsp_1(X0)
| r1_rlvect_1(X3,sK31(X1,X2,X3))
| r1_rlvect_1(X2,sK31(X1,X2,X3))
| ~ v3_vectsp_2(X3,X0)
| ~ m1_rmod_2(X3,X0,X1)
| ~ v3_vectsp_2(X2,X0)
| ~ 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)
| X2 = X3
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f4712]) ).
fof(f5221,plain,
! [X2,X3,X0,X1] :
( ~ v8_vectsp_1(X0)
| ~ r1_rlvect_1(X3,sK31(X1,X2,X3))
| ~ r1_rlvect_1(X2,sK31(X1,X2,X3))
| ~ v3_vectsp_2(X3,X0)
| ~ m1_rmod_2(X3,X0,X1)
| ~ v3_vectsp_2(X2,X0)
| ~ 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)
| X2 = X3
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f4712]) ).
fof(f5223,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f3547]) ).
fof(f5254,plain,
! [X0,X1] :
( ~ v8_vectsp_1(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)
| m1_rmod_2(sK37(X0,X1),X0,X1)
| ~ 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,[],[f4718]) ).
fof(f5255,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(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)
| l1_vectsp_2(X2,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,[],[f3560]) ).
fof(f5256,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(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)
| v5_vectsp_2(X2,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,[],[f3560]) ).
fof(f5257,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(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)
| v6_rlvect_1(X2)
| ~ 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,[],[f3560]) ).
fof(f5258,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(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)
| v5_rlvect_1(X2)
| ~ 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,[],[f3560]) ).
fof(f5259,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(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)
| v4_rlvect_1(X2)
| ~ 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,[],[f3560]) ).
fof(f5260,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(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)
| v3_rlvect_1(X2)
| ~ 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,[],[f3560]) ).
fof(f5261,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(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)
| ~ v3_struct_0(X2)
| ~ 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,[],[f3560]) ).
fof(f5264,plain,
! [X0,X1] :
( ~ v8_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)
| 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)
| m1_rmod_2(X1,X0,X1)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f3566]) ).
fof(f5312,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(X0)
| ~ 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)
| r1_rlvect_1(X2,k1_rlvect_1(X1))
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f3619]) ).
fof(f5313,plain,
! [X2,X3,X0,X1] :
( ~ v8_vectsp_1(X1)
| ~ r1_rlvect_1(X3,X0)
| ~ m1_rmod_2(X3,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,X1)
| ~ l1_vectsp_2(X2,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| r1_rlvect_1(X2,X0)
| ~ l3_vectsp_1(X1) ),
inference(cnf_transformation,[],[f3621]) ).
fof(f5330,plain,
! [X0,X1] :
( ~ v8_vectsp_1(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)
| m1_rmod_2(k1_rmod_2(X0,X1),X0,X1)
| ~ 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,[],[f3644]) ).
fof(f5331,plain,
! [X0,X1] :
( ~ v8_vectsp_1(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)
| v3_vectsp_2(k1_rmod_2(X0,X1),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,[],[f3644]) ).
fof(f5333,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X2,X0,X1)
| m1_rmod_2(k1_rmod_2(X0,X1),X0,X2)
| 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,[],[f3648]) ).
fof(f5335,plain,
! [X2,X3,X0,X1] :
( ~ v8_vectsp_1(X0)
| ~ m1_rmod_2(X3,X0,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)
| k1_rmod_2(X0,X2) = k1_rmod_2(X0,X3)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f3652]) ).
fof(f5336,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X2,X0,X1)
| k1_rmod_2(X0,X1) = k1_rmod_2(X0,X2)
| 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,[],[f3654]) ).
fof(f5942,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f1962]) ).
fof(f6838,plain,
! [X0] : k1_subset_1(X0) = np__0,
inference(definition_unfolding,[],[f5148,f5942]) ).
fof(f6840,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_2_0_rmod_5(X1,X2))
| ~ m2_rmod_4(X3,X1,X2,np__0)
| k5_rmod_4(X1,X2,X3) != X0
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(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,X1)
| ~ l1_vectsp_2(X2,X1) ),
inference(definition_unfolding,[],[f5088,f6838]) ).
fof(f6841,plain,
! [X2,X0,X1] :
( ~ v2_vectsp_2(X1)
| ~ r2_hidden(X0,a_2_0_rmod_5(X1,X2))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| m2_rmod_4(sK9(X0,X1,X2),X1,X2,np__0)
| ~ l3_vectsp_1(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,X1)
| ~ l1_vectsp_2(X2,X1) ),
inference(definition_unfolding,[],[f5087,f6838]) ).
fof(f6845,plain,
k1_rmod_2(sK13,sK14) != k1_rmod_5(sK13,sK14,np__0),
inference(definition_unfolding,[],[f5131,f6838]) ).
fof(f6846,plain,
! [X2,X0,X1] :
( ~ m2_rmod_4(X2,X0,X1,np__0)
| k1_rlvect_1(X1) = k5_rmod_4(X0,X1,X2)
| 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,[],[f5142,f6838]) ).
fof(f6854,plain,
! [X0] : m1_subset_1(np__0,k1_zfmisc_1(X0)),
inference(definition_unfolding,[],[f5210,f5942]) ).
fof(f7261,plain,
! [X2,X3,X1] :
( r2_hidden(k5_rmod_4(X1,X2,X3),a_2_0_rmod_5(X1,X2))
| ~ m2_rmod_4(X3,X1,X2,np__0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| v10_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(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,X1)
| ~ l1_vectsp_2(X2,X1) ),
inference(equality_resolution,[],[f6840]) ).
fof(f7480,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(forward_subsumption_resolution,[],[f5223,f5261]) ).
fof(f7494,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(forward_subsumption_resolution,[],[f7480,f5260]) ).
fof(f7497,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(forward_subsumption_resolution,[],[f7494,f5259]) ).
fof(f7499,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(forward_subsumption_resolution,[],[f7497,f5258]) ).
fof(f7500,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0)
| ~ v3_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(forward_subsumption_resolution,[],[f7499,f5257]) ).
fof(f7501,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0)
| ~ v3_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(forward_subsumption_resolution,[],[f7500,f5256]) ).
fof(f7502,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(X0)
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0)
| ~ v3_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)
| X1 = X2
| ~ l3_vectsp_1(X0) ),
inference(forward_subsumption_resolution,[],[f7501,f5255]) ).
fof(f7503,plain,
! [X0] :
( v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(k1_rmod_2(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(resolution,[],[f5330,f5114]) ).
fof(f7504,plain,
! [X0] :
( ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(k1_rmod_2(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7503,f5123]) ).
fof(f7505,plain,
! [X0] :
( ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(k1_rmod_2(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7504,f5122]) ).
fof(f7506,plain,
! [X0] :
( ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(k1_rmod_2(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7505,f5121]) ).
fof(f7507,plain,
! [X0] :
( ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(k1_rmod_2(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7506,f5120]) ).
fof(f7508,plain,
! [X0] :
( ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(k1_rmod_2(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7507,f5119]) ).
fof(f7509,plain,
! [X0] :
( ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(k1_rmod_2(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7508,f5118]) ).
fof(f7510,plain,
! [X0] :
( ~ v7_vectsp_1(sK13)
| m1_rmod_2(k1_rmod_2(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7509,f5116]) ).
fof(f7511,plain,
! [X0] :
( m1_rmod_2(k1_rmod_2(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7510,f5115]) ).
fof(f7512,plain,
! [X0] :
( ~ v5_vectsp_2(X0,sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| m1_rmod_2(k1_rmod_2(sK13,X0),sK13,X0)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7511,f5111]) ).
fof(f7513,plain,
( v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(resolution,[],[f7512,f5125]) ).
fof(f7514,plain,
( ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7513,f5130]) ).
fof(f7515,plain,
( ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7514,f5129]) ).
fof(f7516,plain,
( ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7515,f5128]) ).
fof(f7517,plain,
( ~ v6_rlvect_1(sK14)
| m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7516,f5127]) ).
fof(f7518,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7517,f5126]) ).
fof(f7519,plain,
m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,sK14),
inference(forward_subsumption_resolution,[],[f7518,f5124]) ).
fof(f7521,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(resolution,[],[f7519,f5336]) ).
fof(f7522,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7521,f5130]) ).
fof(f7524,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7522,f5129]) ).
fof(f7526,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7524,f5128]) ).
fof(f7528,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7526,f5127]) ).
fof(f7530,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7528,f5126]) ).
fof(f7532,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7530,f5125]) ).
fof(f7534,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7532,f5124]) ).
fof(f7536,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7534,f5123]) ).
fof(f7538,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7536,f5122]) ).
fof(f7540,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7538,f5121]) ).
fof(f7542,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7540,f5120]) ).
fof(f7544,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7542,f5119]) ).
fof(f7546,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7544,f5118]) ).
fof(f7548,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7546,f5116]) ).
fof(f7550,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7548,f5115]) ).
fof(f7552,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14))
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7550,f5114]) ).
fof(f7554,plain,
k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),
inference(forward_subsumption_resolution,[],[f7552,f5111]) ).
fof(f7558,plain,
! [X0] :
( v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v3_vectsp_2(k1_rmod_2(sK13,X0),sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(resolution,[],[f5331,f5114]) ).
fof(f7559,plain,
! [X0] :
( ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v3_vectsp_2(k1_rmod_2(sK13,X0),sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7558,f5123]) ).
fof(f7560,plain,
! [X0] :
( ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v3_vectsp_2(k1_rmod_2(sK13,X0),sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7559,f5122]) ).
fof(f7561,plain,
! [X0] :
( ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v3_vectsp_2(k1_rmod_2(sK13,X0),sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7560,f5121]) ).
fof(f7562,plain,
! [X0] :
( ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v3_vectsp_2(k1_rmod_2(sK13,X0),sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7561,f5120]) ).
fof(f7563,plain,
! [X0] :
( ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v3_vectsp_2(k1_rmod_2(sK13,X0),sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7562,f5119]) ).
fof(f7564,plain,
! [X0] :
( ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v3_vectsp_2(k1_rmod_2(sK13,X0),sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7563,f5118]) ).
fof(f7565,plain,
! [X0] :
( ~ v7_vectsp_1(sK13)
| v3_vectsp_2(k1_rmod_2(sK13,X0),sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7564,f5116]) ).
fof(f7566,plain,
! [X0] :
( v3_vectsp_2(k1_rmod_2(sK13,X0),sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7565,f5115]) ).
fof(f7567,plain,
! [X0] :
( v3_vectsp_2(k1_rmod_2(sK13,X0),sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7566,f5111]) ).
fof(f7588,definition,
( spl270_11
<=> v3_struct_0(k1_rmod_2(sK13,sK14)) ),
introduced(definition,[new_symbols(definition,[spl270_11])],[avatar_definition]) ).
fof(f7589,plain,
( v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ spl270_11 ),
inference(avatar_component_clause,[],[f7588]) ).
fof(f7591,definition,
( spl270_12
<=> v3_vectsp_2(k1_rmod_2(sK13,sK14),sK13) ),
introduced(definition,[new_symbols(definition,[spl270_12])],[avatar_definition]) ).
fof(f7592,plain,
( v3_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ spl270_12 ),
inference(avatar_component_clause,[],[f7591]) ).
fof(f7594,plain,
! [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,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(X0,sK13,X0)
| ~ l3_vectsp_1(sK13) ),
inference(resolution,[],[f5264,f5114]) ).
fof(f7595,plain,
! [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,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(X0,sK13,X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7594,f5123]) ).
fof(f7596,plain,
! [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,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(X0,sK13,X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7595,f5122]) ).
fof(f7597,plain,
! [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,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(X0,sK13,X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7596,f5121]) ).
fof(f7598,plain,
! [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,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(X0,sK13,X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7597,f5120]) ).
fof(f7599,plain,
! [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,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(X0,sK13,X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7598,f5119]) ).
fof(f7600,plain,
! [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,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(X0,sK13,X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7599,f5118]) ).
fof(f7601,plain,
! [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,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(X0,sK13,X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7600,f5116]) ).
fof(f7602,plain,
! [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,sK13)
| ~ l1_vectsp_2(X0,sK13)
| m1_rmod_2(X0,sK13,X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7601,f5115]) ).
fof(f7603,plain,
! [X0] :
( ~ v5_vectsp_2(X0,sK13)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X0,sK13)
| m1_rmod_2(X0,sK13,X0) ),
inference(forward_subsumption_resolution,[],[f7602,f5111]) ).
fof(f7604,plain,
( ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| v3_struct_0(sK14)
| ~ l1_vectsp_2(sK14,sK13)
| m1_rmod_2(sK14,sK13,sK14) ),
inference(resolution,[],[f7603,f5125]) ).
fof(f7605,plain,
( ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| v3_struct_0(sK14)
| ~ l1_vectsp_2(sK14,sK13)
| m1_rmod_2(sK14,sK13,sK14) ),
inference(forward_subsumption_resolution,[],[f7604,f5129]) ).
fof(f7606,plain,
( ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| v3_struct_0(sK14)
| ~ l1_vectsp_2(sK14,sK13)
| m1_rmod_2(sK14,sK13,sK14) ),
inference(forward_subsumption_resolution,[],[f7605,f5128]) ).
fof(f7607,plain,
( ~ v6_rlvect_1(sK14)
| v3_struct_0(sK14)
| ~ l1_vectsp_2(sK14,sK13)
| m1_rmod_2(sK14,sK13,sK14) ),
inference(forward_subsumption_resolution,[],[f7606,f5127]) ).
fof(f7608,plain,
( v3_struct_0(sK14)
| ~ l1_vectsp_2(sK14,sK13)
| m1_rmod_2(sK14,sK13,sK14) ),
inference(forward_subsumption_resolution,[],[f7607,f5126]) ).
fof(f7609,plain,
( ~ l1_vectsp_2(sK14,sK13)
| m1_rmod_2(sK14,sK13,sK14) ),
inference(forward_subsumption_resolution,[],[f7608,f5130]) ).
fof(f7610,plain,
m1_rmod_2(sK14,sK13,sK14),
inference(forward_subsumption_resolution,[],[f7609,f5124]) ).
fof(f7613,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X2)
| ~ l3_vectsp_1(sK13) ),
inference(resolution,[],[f5335,f5114]) ).
fof(f7614,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X2)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7613,f5123]) ).
fof(f7615,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X2)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7614,f5122]) ).
fof(f7616,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X2)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7615,f5121]) ).
fof(f7617,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X2)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7616,f5120]) ).
fof(f7618,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X2)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7617,f5119]) ).
fof(f7619,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X2)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7618,f5118]) ).
fof(f7620,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v7_vectsp_1(sK13)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X2)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7619,f5116]) ).
fof(f7621,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X2)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f7620,f5115]) ).
fof(f7622,plain,
! [X2,X0,X1] :
( ~ v5_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X2,sK13,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X2) ),
inference(forward_subsumption_resolution,[],[f7621,f5111]) ).
fof(f7623,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,sK14)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X1,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X1) ),
inference(resolution,[],[f7622,f5125]) ).
fof(f7624,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X1,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X1) ),
inference(forward_subsumption_resolution,[],[f7623,f5130]) ).
fof(f7625,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X1,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X1) ),
inference(forward_subsumption_resolution,[],[f7624,f5129]) ).
fof(f7626,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X1,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X1) ),
inference(forward_subsumption_resolution,[],[f7625,f5128]) ).
fof(f7627,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X1,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X1) ),
inference(forward_subsumption_resolution,[],[f7626,f5127]) ).
fof(f7628,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,sK14)
| ~ m1_rmod_2(X1,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X1) ),
inference(forward_subsumption_resolution,[],[f7627,f5126]) ).
fof(f7629,plain,
! [X0,X1] :
( ~ m1_rmod_2(X1,sK13,sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| k1_rmod_2(sK13,X0) = k1_rmod_2(sK13,X1) ),
inference(forward_subsumption_resolution,[],[f7628,f5124]) ).
fof(f7631,plain,
! [X0] :
( ~ m1_rmod_2(X0,sK13,sK14)
| k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,X0) ),
inference(resolution,[],[f7629,f7610]) ).
fof(f7701,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v5_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(resolution,[],[f5256,f5114]) ).
fof(f7702,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v5_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7701,f5123]) ).
fof(f7703,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v5_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7702,f5122]) ).
fof(f7704,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v5_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7703,f5121]) ).
fof(f7705,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v5_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7704,f5120]) ).
fof(f7706,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v5_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7705,f5119]) ).
fof(f7707,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v5_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7706,f5118]) ).
fof(f7708,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v7_vectsp_1(sK13)
| v5_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7707,f5116]) ).
fof(f7709,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| v5_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7708,f5115]) ).
fof(f7710,plain,
! [X0,X1] :
( ~ v5_vectsp_2(X1,sK13)
| v5_vectsp_2(X0,sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7709,f5111]) ).
fof(f7711,plain,
! [X0] :
( v5_vectsp_2(X0,sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(resolution,[],[f7710,f5125]) ).
fof(f7712,plain,
! [X0] :
( v5_vectsp_2(X0,sK13)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7711,f5130]) ).
fof(f7713,plain,
! [X0] :
( v5_vectsp_2(X0,sK13)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7712,f5129]) ).
fof(f7714,plain,
! [X0] :
( v5_vectsp_2(X0,sK13)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7713,f5128]) ).
fof(f7715,plain,
! [X0] :
( v5_vectsp_2(X0,sK13)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7714,f5127]) ).
fof(f7716,plain,
! [X0] :
( v5_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7715,f5126]) ).
fof(f7717,plain,
! [X0] :
( ~ m1_rmod_2(X0,sK13,sK14)
| v5_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7716,f5124]) ).
fof(f7718,plain,
v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13),
inference(resolution,[],[f7717,f7519]) ).
fof(f7762,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| l1_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(resolution,[],[f5255,f5114]) ).
fof(f7764,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| l1_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7762,f5123]) ).
fof(f7765,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| l1_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7764,f5122]) ).
fof(f7766,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| l1_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7765,f5121]) ).
fof(f7767,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| l1_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7766,f5120]) ).
fof(f7768,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| l1_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7767,f5119]) ).
fof(f7769,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| l1_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7768,f5118]) ).
fof(f7770,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v7_vectsp_1(sK13)
| l1_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7769,f5116]) ).
fof(f7771,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| l1_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7770,f5115]) ).
fof(f7772,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X1,sK13)
| l1_vectsp_2(X0,sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X0,sK13,X1) ),
inference(forward_subsumption_resolution,[],[f7771,f5111]) ).
fof(f7813,plain,
! [X0] :
( l1_vectsp_2(X0,sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ m1_rmod_2(X0,sK13,sK14) ),
inference(resolution,[],[f7772,f5124]) ).
fof(f7814,plain,
! [X0] :
( l1_vectsp_2(X0,sK13)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ m1_rmod_2(X0,sK13,sK14) ),
inference(forward_subsumption_resolution,[],[f7813,f5130]) ).
fof(f7815,plain,
! [X0] :
( l1_vectsp_2(X0,sK13)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ m1_rmod_2(X0,sK13,sK14) ),
inference(forward_subsumption_resolution,[],[f7814,f5129]) ).
fof(f7816,plain,
! [X0] :
( l1_vectsp_2(X0,sK13)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ m1_rmod_2(X0,sK13,sK14) ),
inference(forward_subsumption_resolution,[],[f7815,f5128]) ).
fof(f7817,plain,
! [X0] :
( l1_vectsp_2(X0,sK13)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ m1_rmod_2(X0,sK13,sK14) ),
inference(forward_subsumption_resolution,[],[f7816,f5127]) ).
fof(f7818,plain,
! [X0] :
( l1_vectsp_2(X0,sK13)
| ~ v5_vectsp_2(sK14,sK13)
| ~ m1_rmod_2(X0,sK13,sK14) ),
inference(forward_subsumption_resolution,[],[f7817,f5126]) ).
fof(f7819,plain,
! [X0] :
( ~ m1_rmod_2(X0,sK13,sK14)
| l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7818,f5125]) ).
fof(f7820,plain,
l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13),
inference(resolution,[],[f7819,f7519]) ).
fof(f7824,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v5_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(resolution,[],[f5258,f5114]) ).
fof(f7825,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v5_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7824,f5123]) ).
fof(f7826,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v5_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7825,f5122]) ).
fof(f7827,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v5_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7826,f5121]) ).
fof(f7828,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v5_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7827,f5120]) ).
fof(f7829,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v5_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7828,f5119]) ).
fof(f7830,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v5_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7829,f5118]) ).
fof(f7831,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v7_vectsp_1(sK13)
| v5_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7830,f5116]) ).
fof(f7832,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| v5_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7831,f5115]) ).
fof(f7833,plain,
! [X0,X1] :
( ~ v5_vectsp_2(X1,sK13)
| v5_rlvect_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7832,f5111]) ).
fof(f7834,plain,
! [X0] :
( v5_rlvect_1(X0)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(resolution,[],[f7833,f5125]) ).
fof(f7836,plain,
! [X0] :
( v5_rlvect_1(X0)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7834,f5130]) ).
fof(f7837,plain,
! [X0] :
( v5_rlvect_1(X0)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7836,f5129]) ).
fof(f7838,plain,
! [X0] :
( v5_rlvect_1(X0)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7837,f5128]) ).
fof(f7839,plain,
! [X0] :
( v5_rlvect_1(X0)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7838,f5127]) ).
fof(f7840,plain,
! [X0] :
( v5_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7839,f5126]) ).
fof(f7841,plain,
! [X0] :
( ~ m1_rmod_2(X0,sK13,sK14)
| v5_rlvect_1(X0) ),
inference(forward_subsumption_resolution,[],[f7840,f5124]) ).
fof(f7842,plain,
v5_rlvect_1(k1_rmod_2(sK13,sK14)),
inference(resolution,[],[f7841,f7519]) ).
fof(f7845,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v6_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(resolution,[],[f5257,f5114]) ).
fof(f7847,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v6_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7845,f5123]) ).
fof(f7848,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v6_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7847,f5122]) ).
fof(f7849,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v6_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7848,f5121]) ).
fof(f7850,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v6_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7849,f5120]) ).
fof(f7851,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v6_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7850,f5119]) ).
fof(f7852,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v6_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7851,f5118]) ).
fof(f7853,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v7_vectsp_1(sK13)
| v6_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7852,f5116]) ).
fof(f7854,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| v6_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7853,f5115]) ).
fof(f7855,plain,
! [X0,X1] :
( ~ v5_vectsp_2(X1,sK13)
| v6_rlvect_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7854,f5111]) ).
fof(f7876,plain,
! [X0] :
( v6_rlvect_1(X0)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(resolution,[],[f7855,f5125]) ).
fof(f7878,plain,
! [X0] :
( v6_rlvect_1(X0)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7876,f5130]) ).
fof(f7879,plain,
! [X0] :
( v6_rlvect_1(X0)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7878,f5129]) ).
fof(f7880,plain,
! [X0] :
( v6_rlvect_1(X0)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7879,f5128]) ).
fof(f7881,plain,
! [X0] :
( v6_rlvect_1(X0)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7880,f5127]) ).
fof(f7882,plain,
! [X0] :
( v6_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7881,f5126]) ).
fof(f7883,plain,
! [X0] :
( ~ m1_rmod_2(X0,sK13,sK14)
| v6_rlvect_1(X0) ),
inference(forward_subsumption_resolution,[],[f7882,f5124]) ).
fof(f7884,plain,
v6_rlvect_1(k1_rmod_2(sK13,sK14)),
inference(resolution,[],[f7883,f7519]) ).
fof(f7920,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v4_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(resolution,[],[f5259,f5114]) ).
fof(f7922,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v4_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7920,f5123]) ).
fof(f7923,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v4_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7922,f5122]) ).
fof(f7924,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v4_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7923,f5121]) ).
fof(f7925,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v4_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7924,f5120]) ).
fof(f7926,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v4_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7925,f5119]) ).
fof(f7927,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v4_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7926,f5118]) ).
fof(f7928,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v7_vectsp_1(sK13)
| v4_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7927,f5116]) ).
fof(f7929,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| v4_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7928,f5115]) ).
fof(f7930,plain,
! [X0,X1] :
( ~ v5_vectsp_2(X1,sK13)
| v4_rlvect_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7929,f5111]) ).
fof(f7931,plain,
! [X0] :
( v4_rlvect_1(X0)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(resolution,[],[f7930,f5125]) ).
fof(f7933,plain,
! [X0] :
( v4_rlvect_1(X0)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7931,f5130]) ).
fof(f7934,plain,
! [X0] :
( v4_rlvect_1(X0)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7933,f5129]) ).
fof(f7935,plain,
! [X0] :
( v4_rlvect_1(X0)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7934,f5128]) ).
fof(f7936,plain,
! [X0] :
( v4_rlvect_1(X0)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7935,f5127]) ).
fof(f7937,plain,
! [X0] :
( v4_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7936,f5126]) ).
fof(f7938,plain,
! [X0] :
( ~ m1_rmod_2(X0,sK13,sK14)
| v4_rlvect_1(X0) ),
inference(forward_subsumption_resolution,[],[f7937,f5124]) ).
fof(f7939,plain,
v4_rlvect_1(k1_rmod_2(sK13,sK14)),
inference(resolution,[],[f7938,f7519]) ).
fof(f7942,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v3_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(resolution,[],[f5260,f5114]) ).
fof(f7944,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v3_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7942,f5123]) ).
fof(f7945,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v3_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7944,f5122]) ).
fof(f7946,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v3_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7945,f5121]) ).
fof(f7947,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v3_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7946,f5120]) ).
fof(f7948,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v3_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7947,f5119]) ).
fof(f7949,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| v3_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7948,f5118]) ).
fof(f7950,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ v7_vectsp_1(sK13)
| v3_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7949,f5116]) ).
fof(f7951,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| v3_rlvect_1(X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7950,f5115]) ).
fof(f7952,plain,
! [X0,X1] :
( ~ v5_vectsp_2(X1,sK13)
| v3_rlvect_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7951,f5111]) ).
fof(f7953,plain,
! [X0] :
( v3_rlvect_1(X0)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(resolution,[],[f7952,f5125]) ).
fof(f7955,plain,
! [X0] :
( v3_rlvect_1(X0)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7953,f5130]) ).
fof(f7956,plain,
! [X0] :
( v3_rlvect_1(X0)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7955,f5129]) ).
fof(f7957,plain,
! [X0] :
( v3_rlvect_1(X0)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7956,f5128]) ).
fof(f7958,plain,
! [X0] :
( v3_rlvect_1(X0)
| ~ v6_rlvect_1(sK14)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7957,f5127]) ).
fof(f7959,plain,
! [X0] :
( v3_rlvect_1(X0)
| ~ m1_rmod_2(X0,sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f7958,f5126]) ).
fof(f7960,plain,
! [X0] :
( ~ m1_rmod_2(X0,sK13,sK14)
| v3_rlvect_1(X0) ),
inference(forward_subsumption_resolution,[],[f7959,f5124]) ).
fof(f7961,plain,
v3_rlvect_1(k1_rmod_2(sK13,sK14)),
inference(resolution,[],[f7960,f7519]) ).
fof(f7963,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| k5_rmod_4(sK13,X1,sK9(X0,sK13,X1)) = X0
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(resolution,[],[f5086,f5112]) ).
fof(f7964,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| k5_rmod_4(sK13,X1,sK9(X0,sK13,X1)) = X0
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7963,f5123]) ).
fof(f7965,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| k5_rmod_4(sK13,X1,sK9(X0,sK13,X1)) = X0
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7964,f5122]) ).
fof(f7966,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| k5_rmod_4(sK13,X1,sK9(X0,sK13,X1)) = X0
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7965,f5121]) ).
fof(f7967,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| k5_rmod_4(sK13,X1,sK9(X0,sK13,X1)) = X0
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7966,f5120]) ).
fof(f7968,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| k5_rmod_4(sK13,X1,sK9(X0,sK13,X1)) = X0
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7967,f5119]) ).
fof(f7969,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| k5_rmod_4(sK13,X1,sK9(X0,sK13,X1)) = X0
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7968,f5118]) ).
fof(f7970,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| k5_rmod_4(sK13,X1,sK9(X0,sK13,X1)) = X0
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7969,f5117]) ).
fof(f7971,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| k5_rmod_4(sK13,X1,sK9(X0,sK13,X1)) = X0
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7970,f5116]) ).
fof(f7972,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| k5_rmod_4(sK13,X1,sK9(X0,sK13,X1)) = X0
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7971,f5115]) ).
fof(f7973,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| v10_vectsp_1(sK13)
| k5_rmod_4(sK13,X1,sK9(X0,sK13,X1)) = X0
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7972,f5114]) ).
fof(f7974,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| k5_rmod_4(sK13,X1,sK9(X0,sK13,X1)) = X0
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7973,f5113]) ).
fof(f7975,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| k5_rmod_4(sK13,X1,sK9(X0,sK13,X1)) = 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,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f7974,f5111]) ).
fof(f7991,plain,
! [X0] :
( v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(sK37(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(resolution,[],[f5254,f5114]) ).
fof(f7992,plain,
! [X0] :
( ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(sK37(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7991,f5123]) ).
fof(f7993,plain,
! [X0] :
( ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(sK37(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7992,f5122]) ).
fof(f7994,plain,
! [X0] :
( ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(sK37(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7993,f5121]) ).
fof(f7995,plain,
! [X0] :
( ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(sK37(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7994,f5120]) ).
fof(f7996,plain,
! [X0] :
( ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(sK37(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7995,f5119]) ).
fof(f7997,plain,
! [X0] :
( ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| m1_rmod_2(sK37(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7996,f5118]) ).
fof(f7998,plain,
! [X0] :
( ~ v7_vectsp_1(sK13)
| m1_rmod_2(sK37(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7997,f5116]) ).
fof(f7999,plain,
! [X0] :
( m1_rmod_2(sK37(sK13,X0),sK13,X0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7998,f5115]) ).
fof(f8000,plain,
! [X0] :
( ~ v5_vectsp_2(X0,sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| m1_rmod_2(sK37(sK13,X0),sK13,X0)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f7999,f5111]) ).
fof(f8001,plain,
( v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| m1_rmod_2(sK37(sK13,sK14),sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(resolution,[],[f8000,f5125]) ).
fof(f8003,plain,
( ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| m1_rmod_2(sK37(sK13,sK14),sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f8001,f5130]) ).
fof(f8004,plain,
( ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| m1_rmod_2(sK37(sK13,sK14),sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f8003,f5129]) ).
fof(f8005,plain,
( ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| m1_rmod_2(sK37(sK13,sK14),sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f8004,f5128]) ).
fof(f8006,plain,
( ~ v6_rlvect_1(sK14)
| m1_rmod_2(sK37(sK13,sK14),sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f8005,f5127]) ).
fof(f8007,plain,
( m1_rmod_2(sK37(sK13,sK14),sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13) ),
inference(forward_subsumption_resolution,[],[f8006,f5126]) ).
fof(f8008,plain,
m1_rmod_2(sK37(sK13,sK14),sK13,sK14),
inference(forward_subsumption_resolution,[],[f8007,f5124]) ).
fof(f8010,plain,
k1_rmod_2(sK13,sK14) = k1_rmod_2(sK13,sK37(sK13,sK14)),
inference(resolution,[],[f8008,f7631]) ).
fof(f8012,plain,
v5_vectsp_2(sK37(sK13,sK14),sK13),
inference(resolution,[],[f8008,f7717]) ).
fof(f8015,plain,
l1_vectsp_2(sK37(sK13,sK14),sK13),
inference(resolution,[],[f8008,f7819]) ).
fof(f8016,plain,
v5_rlvect_1(sK37(sK13,sK14)),
inference(resolution,[],[f8008,f7841]) ).
fof(f8017,plain,
v6_rlvect_1(sK37(sK13,sK14)),
inference(resolution,[],[f8008,f7883]) ).
fof(f8020,plain,
v4_rlvect_1(sK37(sK13,sK14)),
inference(resolution,[],[f8008,f7938]) ).
fof(f8021,plain,
v3_rlvect_1(sK37(sK13,sK14)),
inference(resolution,[],[f8008,f7960]) ).
fof(f8062,plain,
( v3_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| v3_struct_0(sK37(sK13,sK14))
| ~ v3_rlvect_1(sK37(sK13,sK14))
| ~ v4_rlvect_1(sK37(sK13,sK14))
| ~ v5_rlvect_1(sK37(sK13,sK14))
| ~ v6_rlvect_1(sK37(sK13,sK14))
| ~ v5_vectsp_2(sK37(sK13,sK14),sK13)
| ~ l1_vectsp_2(sK37(sK13,sK14),sK13) ),
inference(superposition,[],[f7567,f8010]) ).
fof(f8065,plain,
( v3_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| v3_struct_0(sK37(sK13,sK14))
| ~ v4_rlvect_1(sK37(sK13,sK14))
| ~ v5_rlvect_1(sK37(sK13,sK14))
| ~ v6_rlvect_1(sK37(sK13,sK14))
| ~ v5_vectsp_2(sK37(sK13,sK14),sK13)
| ~ l1_vectsp_2(sK37(sK13,sK14),sK13) ),
inference(forward_subsumption_resolution,[],[f8062,f8021]) ).
fof(f8067,plain,
( v3_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| v3_struct_0(sK37(sK13,sK14))
| ~ v5_rlvect_1(sK37(sK13,sK14))
| ~ v6_rlvect_1(sK37(sK13,sK14))
| ~ v5_vectsp_2(sK37(sK13,sK14),sK13)
| ~ l1_vectsp_2(sK37(sK13,sK14),sK13) ),
inference(forward_subsumption_resolution,[],[f8065,f8020]) ).
fof(f8069,plain,
( v3_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| v3_struct_0(sK37(sK13,sK14))
| ~ v6_rlvect_1(sK37(sK13,sK14))
| ~ v5_vectsp_2(sK37(sK13,sK14),sK13)
| ~ l1_vectsp_2(sK37(sK13,sK14),sK13) ),
inference(forward_subsumption_resolution,[],[f8067,f8016]) ).
fof(f8071,plain,
( v3_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| v3_struct_0(sK37(sK13,sK14))
| ~ v5_vectsp_2(sK37(sK13,sK14),sK13)
| ~ l1_vectsp_2(sK37(sK13,sK14),sK13) ),
inference(forward_subsumption_resolution,[],[f8069,f8017]) ).
fof(f8073,plain,
( v3_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| v3_struct_0(sK37(sK13,sK14))
| ~ l1_vectsp_2(sK37(sK13,sK14),sK13) ),
inference(forward_subsumption_resolution,[],[f8071,f8012]) ).
fof(f8075,plain,
( v3_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| v3_struct_0(sK37(sK13,sK14)) ),
inference(forward_subsumption_resolution,[],[f8073,f8015]) ).
fof(f8078,definition,
( spl270_22
<=> v3_struct_0(sK37(sK13,sK14)) ),
introduced(definition,[new_symbols(definition,[spl270_22])],[avatar_definition]) ).
fof(f8079,plain,
( v3_struct_0(sK37(sK13,sK14))
| ~ spl270_22 ),
inference(avatar_component_clause,[],[f8078]) ).
fof(f8080,plain,
( spl270_22
| spl270_12 ),
inference(avatar_split_clause,[],[f8075,f7591,f8078]) ).
fof(f8180,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| m2_rmod_4(sK9(X0,sK13,X1),sK13,X1,np__0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(resolution,[],[f6841,f5112]) ).
fof(f8181,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| m2_rmod_4(sK9(X0,sK13,X1),sK13,X1,np__0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f8180,f5123]) ).
fof(f8182,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| m2_rmod_4(sK9(X0,sK13,X1),sK13,X1,np__0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f8181,f5122]) ).
fof(f8183,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| m2_rmod_4(sK9(X0,sK13,X1),sK13,X1,np__0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f8182,f5121]) ).
fof(f8184,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| m2_rmod_4(sK9(X0,sK13,X1),sK13,X1,np__0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f8183,f5120]) ).
fof(f8185,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| m2_rmod_4(sK9(X0,sK13,X1),sK13,X1,np__0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f8184,f5119]) ).
fof(f8186,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| m2_rmod_4(sK9(X0,sK13,X1),sK13,X1,np__0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f8185,f5118]) ).
fof(f8187,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| m2_rmod_4(sK9(X0,sK13,X1),sK13,X1,np__0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f8186,f5117]) ).
fof(f8188,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| m2_rmod_4(sK9(X0,sK13,X1),sK13,X1,np__0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f8187,f5116]) ).
fof(f8189,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| m2_rmod_4(sK9(X0,sK13,X1),sK13,X1,np__0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f8188,f5115]) ).
fof(f8190,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| v10_vectsp_1(sK13)
| m2_rmod_4(sK9(X0,sK13,X1),sK13,X1,np__0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f8189,f5114]) ).
fof(f8191,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,X1))
| m2_rmod_4(sK9(X0,sK13,X1),sK13,X1,np__0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f8190,f5113]) ).
fof(f8192,plain,
! [X0,X1] :
( m2_rmod_4(sK9(X0,sK13,X1),sK13,X1,np__0)
| ~ r2_hidden(X0,a_2_0_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13) ),
inference(forward_subsumption_resolution,[],[f8191,f5111]) ).
fof(f8193,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rlvect_1(X1) = k5_rmod_4(sK13,X1,sK9(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(resolution,[],[f8192,f6846]) ).
fof(f8194,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rlvect_1(X1) = k5_rmod_4(sK13,X1,sK9(X0,sK13,X1))
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(duplicate_literal_removal,[],[f8193]) ).
fof(f8195,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rlvect_1(X1) = k5_rmod_4(sK13,X1,sK9(X0,sK13,X1))
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8194,f5123]) ).
fof(f8196,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rlvect_1(X1) = k5_rmod_4(sK13,X1,sK9(X0,sK13,X1))
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8195,f5122]) ).
fof(f8197,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rlvect_1(X1) = k5_rmod_4(sK13,X1,sK9(X0,sK13,X1))
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8196,f5121]) ).
fof(f8198,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rlvect_1(X1) = k5_rmod_4(sK13,X1,sK9(X0,sK13,X1))
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8197,f5120]) ).
fof(f8199,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rlvect_1(X1) = k5_rmod_4(sK13,X1,sK9(X0,sK13,X1))
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8198,f5119]) ).
fof(f8200,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rlvect_1(X1) = k5_rmod_4(sK13,X1,sK9(X0,sK13,X1))
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8199,f5118]) ).
fof(f8201,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rlvect_1(X1) = k5_rmod_4(sK13,X1,sK9(X0,sK13,X1))
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8200,f5116]) ).
fof(f8202,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rlvect_1(X1) = k5_rmod_4(sK13,X1,sK9(X0,sK13,X1))
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8201,f5115]) ).
fof(f8203,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rlvect_1(X1) = k5_rmod_4(sK13,X1,sK9(X0,sK13,X1))
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8202,f5114]) ).
fof(f8204,plain,
! [X0,X1] :
( ~ r2_hidden(X0,a_2_0_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rlvect_1(X1) = k5_rmod_4(sK13,X1,sK9(X0,sK13,X1)) ),
inference(forward_subsumption_resolution,[],[f8203,f5111]) ).
fof(f8205,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| r1_rlvect_1(X0,k1_rlvect_1(X1))
| ~ l3_vectsp_1(sK13) ),
inference(resolution,[],[f5312,f5114]) ).
fof(f8206,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| r1_rlvect_1(X0,k1_rlvect_1(X1))
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8205,f5123]) ).
fof(f8207,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| r1_rlvect_1(X0,k1_rlvect_1(X1))
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8206,f5122]) ).
fof(f8208,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| r1_rlvect_1(X0,k1_rlvect_1(X1))
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8207,f5121]) ).
fof(f8209,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| r1_rlvect_1(X0,k1_rlvect_1(X1))
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8208,f5120]) ).
fof(f8210,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| r1_rlvect_1(X0,k1_rlvect_1(X1))
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8209,f5119]) ).
fof(f8211,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| r1_rlvect_1(X0,k1_rlvect_1(X1))
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8210,f5118]) ).
fof(f8212,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v7_vectsp_1(sK13)
| r1_rlvect_1(X0,k1_rlvect_1(X1))
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8211,f5116]) ).
fof(f8213,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| r1_rlvect_1(X0,k1_rlvect_1(X1))
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8212,f5115]) ).
fof(f8214,plain,
! [X0,X1] :
( r1_rlvect_1(X0,k1_rlvect_1(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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X0,sK13,X1) ),
inference(forward_subsumption_resolution,[],[f8213,f5111]) ).
fof(f8241,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X2,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| r1_rlvect_1(X2,X1)
| ~ l3_vectsp_1(sK13) ),
inference(resolution,[],[f5313,f5114]) ).
fof(f8242,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X2,sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| r1_rlvect_1(X2,X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8241,f5123]) ).
fof(f8243,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X2,sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| r1_rlvect_1(X2,X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8242,f5122]) ).
fof(f8244,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X2,sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| r1_rlvect_1(X2,X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8243,f5121]) ).
fof(f8245,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X2,sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| r1_rlvect_1(X2,X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8244,f5120]) ).
fof(f8246,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X2,sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| r1_rlvect_1(X2,X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8245,f5119]) ).
fof(f8247,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X2,sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| r1_rlvect_1(X2,X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8246,f5118]) ).
fof(f8248,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X2,sK13)
| ~ v7_vectsp_1(sK13)
| r1_rlvect_1(X2,X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8247,f5116]) ).
fof(f8249,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| ~ m1_rmod_2(X0,sK13,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,sK13)
| ~ l1_vectsp_2(X2,sK13)
| r1_rlvect_1(X2,X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8248,f5115]) ).
fof(f8250,plain,
! [X2,X0,X1] :
( ~ v5_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X0,sK13,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ r1_rlvect_1(X0,X1)
| ~ l1_vectsp_2(X2,sK13)
| r1_rlvect_1(X2,X1) ),
inference(forward_subsumption_resolution,[],[f8249,f5111]) ).
fof(f8285,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X1,sK13,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK13)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v3_vectsp_2(X1,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X1
| ~ l3_vectsp_1(sK13) ),
inference(resolution,[],[f7502,f5114]) ).
fof(f8286,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X1,sK13,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK13)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v3_vectsp_2(X1,sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X1
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8285,f5123]) ).
fof(f8287,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X1,sK13,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK13)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v3_vectsp_2(X1,sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X1
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8286,f5122]) ).
fof(f8288,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X1,sK13,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK13)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v3_vectsp_2(X1,sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X1
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8287,f5121]) ).
fof(f8289,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X1,sK13,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK13)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v3_vectsp_2(X1,sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X1
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8288,f5120]) ).
fof(f8290,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X1,sK13,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK13)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v3_vectsp_2(X1,sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X1
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8289,f5119]) ).
fof(f8291,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X1,sK13,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK13)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v3_vectsp_2(X1,sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X1
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8290,f5118]) ).
fof(f8292,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X1,sK13,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK13)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v3_vectsp_2(X1,sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X1
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8291,f5116]) ).
fof(f8293,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,X1)
| ~ m1_rmod_2(X1,sK13,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK13)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v3_vectsp_2(X1,sK13)
| X0 = X1
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8292,f5115]) ).
fof(f8294,plain,
! [X0,X1] :
( ~ v3_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X1,sK13,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK13)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f8293,f5111]) ).
fof(f8295,plain,
! [X0,X1] :
( ~ v2_vectsp_2(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| v3_struct_0(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_2(k1_rmod_5(X0,X1,np__0),X0,X1) ),
inference(resolution,[],[f6854,f5092]) ).
fof(f8296,plain,
! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(X0,X1,np__0),X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0) ),
inference(resolution,[],[f6854,f5093]) ).
fof(f8298,plain,
! [X2,X0,X1] :
( ~ v2_vectsp_2(X0)
| k5_rmod_4(X0,X1,sK12(X2,X0,X1,np__0)) = X2
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ r1_rlvect_1(k1_rmod_5(X0,X1,np__0),X2)
| ~ l3_vectsp_1(X0) ),
inference(resolution,[],[f6854,f5107]) ).
fof(f8299,plain,
! [X2,X0,X1] :
( ~ v2_vectsp_2(X0)
| m2_rmod_4(sK12(X2,X0,X1,np__0),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)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ r1_rlvect_1(k1_rmod_5(X0,X1,np__0),X2)
| ~ l3_vectsp_1(X0) ),
inference(resolution,[],[f6854,f5108]) ).
fof(f8306,plain,
! [X0] :
( ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| v3_struct_0(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X0) ),
inference(resolution,[],[f8295,f5112]) ).
fof(f8307,plain,
! [X0] :
( ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| v3_struct_0(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X0) ),
inference(forward_subsumption_resolution,[],[f8306,f5122]) ).
fof(f8308,plain,
! [X0] :
( ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| v3_struct_0(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X0) ),
inference(forward_subsumption_resolution,[],[f8307,f5121]) ).
fof(f8309,plain,
! [X0] :
( ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| v3_struct_0(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X0) ),
inference(forward_subsumption_resolution,[],[f8308,f5120]) ).
fof(f8310,plain,
! [X0] :
( ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| v3_struct_0(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X0) ),
inference(forward_subsumption_resolution,[],[f8309,f5119]) ).
fof(f8311,plain,
! [X0] :
( ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| v3_struct_0(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X0) ),
inference(forward_subsumption_resolution,[],[f8310,f5118]) ).
fof(f8312,plain,
! [X0] :
( ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| v3_struct_0(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X0) ),
inference(forward_subsumption_resolution,[],[f8311,f5117]) ).
fof(f8313,plain,
! [X0] :
( ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| v3_struct_0(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X0) ),
inference(forward_subsumption_resolution,[],[f8312,f5116]) ).
fof(f8314,plain,
! [X0] :
( ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| v3_struct_0(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X0) ),
inference(forward_subsumption_resolution,[],[f8313,f5115]) ).
fof(f8315,plain,
! [X0] :
( v10_vectsp_1(sK13)
| v3_struct_0(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X0) ),
inference(forward_subsumption_resolution,[],[f8314,f5114]) ).
fof(f8316,plain,
! [X0] :
( v3_struct_0(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X0) ),
inference(forward_subsumption_resolution,[],[f8315,f5113]) ).
fof(f8317,plain,
! [X0] :
( ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X0) ),
inference(forward_subsumption_resolution,[],[f8316,f5123]) ).
fof(f8318,plain,
! [X0] :
( ~ v5_vectsp_2(X0,sK13)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X0,sK13)
| m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X0) ),
inference(forward_subsumption_resolution,[],[f8317,f5111]) ).
fof(f8319,plain,
( ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| v3_struct_0(sK14)
| ~ l1_vectsp_2(sK14,sK13)
| m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,sK14) ),
inference(resolution,[],[f8318,f5125]) ).
fof(f8320,plain,
( ~ v3_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| m1_rmod_2(k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0),sK13,k1_rmod_2(sK13,sK14)) ),
inference(resolution,[],[f8318,f7718]) ).
fof(f8322,plain,
( ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| v3_struct_0(sK14)
| ~ l1_vectsp_2(sK14,sK13)
| m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,sK14) ),
inference(forward_subsumption_resolution,[],[f8319,f5129]) ).
fof(f8323,plain,
( ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| v3_struct_0(sK14)
| ~ l1_vectsp_2(sK14,sK13)
| m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,sK14) ),
inference(forward_subsumption_resolution,[],[f8322,f5128]) ).
fof(f8324,plain,
( ~ v6_rlvect_1(sK14)
| v3_struct_0(sK14)
| ~ l1_vectsp_2(sK14,sK13)
| m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,sK14) ),
inference(forward_subsumption_resolution,[],[f8323,f5127]) ).
fof(f8325,plain,
( v3_struct_0(sK14)
| ~ l1_vectsp_2(sK14,sK13)
| m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,sK14) ),
inference(forward_subsumption_resolution,[],[f8324,f5126]) ).
fof(f8326,plain,
( ~ l1_vectsp_2(sK14,sK13)
| m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,sK14) ),
inference(forward_subsumption_resolution,[],[f8325,f5130]) ).
fof(f8327,plain,
m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,sK14),
inference(forward_subsumption_resolution,[],[f8326,f5124]) ).
fof(f8331,plain,
v5_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13),
inference(resolution,[],[f8327,f7717]) ).
fof(f8334,plain,
l1_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13),
inference(resolution,[],[f8327,f7819]) ).
fof(f8335,plain,
v5_rlvect_1(k1_rmod_5(sK13,sK14,np__0)),
inference(resolution,[],[f8327,f7841]) ).
fof(f8336,plain,
v6_rlvect_1(k1_rmod_5(sK13,sK14,np__0)),
inference(resolution,[],[f8327,f7883]) ).
fof(f8339,plain,
v4_rlvect_1(k1_rmod_5(sK13,sK14,np__0)),
inference(resolution,[],[f8327,f7938]) ).
fof(f8340,plain,
v3_rlvect_1(k1_rmod_5(sK13,sK14,np__0)),
inference(resolution,[],[f8327,f7960]) ).
fof(f8342,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(resolution,[],[f8327,f5333]) ).
fof(f8345,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8342,f5130]) ).
fof(f8347,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8345,f5129]) ).
fof(f8348,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8347,f5128]) ).
fof(f8349,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8348,f5127]) ).
fof(f8350,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8349,f5126]) ).
fof(f8351,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8350,f5125]) ).
fof(f8352,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8351,f5124]) ).
fof(f8353,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8352,f5123]) ).
fof(f8354,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8353,f5122]) ).
fof(f8355,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8354,f5121]) ).
fof(f8356,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8355,f5120]) ).
fof(f8357,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8356,f5119]) ).
fof(f8358,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8357,f5118]) ).
fof(f8359,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8358,f5116]) ).
fof(f8360,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8359,f5115]) ).
fof(f8361,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0))
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8360,f5114]) ).
fof(f8362,plain,
m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,sK14,np__0)),
inference(forward_subsumption_resolution,[],[f8361,f5111]) ).
fof(f8377,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,k1_rmod_5(sK13,sK14,np__0))
| v3_struct_0(k1_rmod_5(sK13,sK14,np__0))
| ~ v3_rlvect_1(k1_rmod_5(sK13,sK14,np__0))
| ~ v4_rlvect_1(k1_rmod_5(sK13,sK14,np__0))
| ~ v5_rlvect_1(k1_rmod_5(sK13,sK14,np__0))
| ~ v6_rlvect_1(k1_rmod_5(sK13,sK14,np__0))
| ~ r1_rlvect_1(X0,X1)
| ~ l1_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),X1) ),
inference(resolution,[],[f8331,f8250]) ).
fof(f8380,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,k1_rmod_5(sK13,sK14,np__0))
| v3_struct_0(k1_rmod_5(sK13,sK14,np__0))
| ~ v4_rlvect_1(k1_rmod_5(sK13,sK14,np__0))
| ~ v5_rlvect_1(k1_rmod_5(sK13,sK14,np__0))
| ~ v6_rlvect_1(k1_rmod_5(sK13,sK14,np__0))
| ~ r1_rlvect_1(X0,X1)
| ~ l1_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),X1) ),
inference(forward_subsumption_resolution,[],[f8377,f8340]) ).
fof(f8396,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,k1_rmod_5(sK13,sK14,np__0))
| v3_struct_0(k1_rmod_5(sK13,sK14,np__0))
| ~ v5_rlvect_1(k1_rmod_5(sK13,sK14,np__0))
| ~ v6_rlvect_1(k1_rmod_5(sK13,sK14,np__0))
| ~ r1_rlvect_1(X0,X1)
| ~ l1_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),X1) ),
inference(forward_subsumption_resolution,[],[f8380,f8339]) ).
fof(f8412,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,k1_rmod_5(sK13,sK14,np__0))
| v3_struct_0(k1_rmod_5(sK13,sK14,np__0))
| ~ v6_rlvect_1(k1_rmod_5(sK13,sK14,np__0))
| ~ r1_rlvect_1(X0,X1)
| ~ l1_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),X1) ),
inference(forward_subsumption_resolution,[],[f8396,f8335]) ).
fof(f8428,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,k1_rmod_5(sK13,sK14,np__0))
| v3_struct_0(k1_rmod_5(sK13,sK14,np__0))
| ~ r1_rlvect_1(X0,X1)
| ~ l1_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),X1) ),
inference(forward_subsumption_resolution,[],[f8412,f8336]) ).
fof(f8444,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,k1_rmod_5(sK13,sK14,np__0))
| v3_struct_0(k1_rmod_5(sK13,sK14,np__0))
| ~ r1_rlvect_1(X0,X1)
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),X1) ),
inference(forward_subsumption_resolution,[],[f8428,f8334]) ).
fof(f8463,definition,
( spl270_25
<=> v3_struct_0(k1_rmod_5(sK13,sK14,np__0)) ),
introduced(definition,[new_symbols(definition,[spl270_25])],[avatar_definition]) ).
fof(f8464,plain,
( v3_struct_0(k1_rmod_5(sK13,sK14,np__0))
| ~ spl270_25 ),
inference(avatar_component_clause,[],[f8463]) ).
fof(f8467,definition,
( spl270_26
<=> ! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,k1_rmod_5(sK13,sK14,np__0))
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),X1)
| ~ r1_rlvect_1(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl270_26])],[avatar_definition]) ).
fof(f8468,plain,
( ! [X0,X1] :
( ~ m1_rmod_2(X0,sK13,k1_rmod_5(sK13,sK14,np__0))
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),X1)
| ~ r1_rlvect_1(X0,X1) )
| ~ spl270_26 ),
inference(avatar_component_clause,[],[f8467]) ).
fof(f8469,plain,
( spl270_25
| spl270_26 ),
inference(avatar_split_clause,[],[f8444,f8467,f8463]) ).
fof(f8644,plain,
! [X0,X1] :
( k5_rmod_4(sK13,X0,sK12(X1,sK13,X0,np__0)) = X1
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),X1)
| ~ l3_vectsp_1(sK13) ),
inference(resolution,[],[f8298,f5112]) ).
fof(f8645,plain,
! [X0,X1] :
( k5_rmod_4(sK13,X0,sK12(X1,sK13,X0,np__0)) = X1
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8644,f5123]) ).
fof(f8646,plain,
! [X0,X1] :
( k5_rmod_4(sK13,X0,sK12(X1,sK13,X0,np__0)) = X1
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8645,f5122]) ).
fof(f8647,plain,
! [X0,X1] :
( k5_rmod_4(sK13,X0,sK12(X1,sK13,X0,np__0)) = X1
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8646,f5121]) ).
fof(f8648,plain,
! [X0,X1] :
( k5_rmod_4(sK13,X0,sK12(X1,sK13,X0,np__0)) = X1
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8647,f5120]) ).
fof(f8649,plain,
! [X0,X1] :
( k5_rmod_4(sK13,X0,sK12(X1,sK13,X0,np__0)) = X1
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8648,f5119]) ).
fof(f8650,plain,
! [X0,X1] :
( k5_rmod_4(sK13,X0,sK12(X1,sK13,X0,np__0)) = X1
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8649,f5118]) ).
fof(f8651,plain,
! [X0,X1] :
( k5_rmod_4(sK13,X0,sK12(X1,sK13,X0,np__0)) = X1
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8650,f5117]) ).
fof(f8652,plain,
! [X0,X1] :
( k5_rmod_4(sK13,X0,sK12(X1,sK13,X0,np__0)) = X1
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8651,f5116]) ).
fof(f8653,plain,
! [X0,X1] :
( k5_rmod_4(sK13,X0,sK12(X1,sK13,X0,np__0)) = X1
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8652,f5115]) ).
fof(f8654,plain,
! [X0,X1] :
( k5_rmod_4(sK13,X0,sK12(X1,sK13,X0,np__0)) = X1
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8653,f5114]) ).
fof(f8655,plain,
! [X0,X1] :
( k5_rmod_4(sK13,X0,sK12(X1,sK13,X0,np__0)) = X1
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),X1)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8654,f5113]) ).
fof(f8656,plain,
! [X0,X1] :
( ~ r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),X1)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| k5_rmod_4(sK13,X0,sK12(X1,sK13,X0,np__0)) = X1 ),
inference(forward_subsumption_resolution,[],[f8655,f5111]) ).
fof(f8675,plain,
! [X0,X1] :
( m2_rmod_4(sK12(X0,sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),X0)
| ~ l3_vectsp_1(sK13) ),
inference(resolution,[],[f8299,f5112]) ).
fof(f8676,plain,
! [X0,X1] :
( m2_rmod_4(sK12(X0,sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8675,f5123]) ).
fof(f8677,plain,
! [X0,X1] :
( m2_rmod_4(sK12(X0,sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8676,f5122]) ).
fof(f8678,plain,
! [X0,X1] :
( m2_rmod_4(sK12(X0,sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8677,f5121]) ).
fof(f8679,plain,
! [X0,X1] :
( m2_rmod_4(sK12(X0,sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8678,f5120]) ).
fof(f8680,plain,
! [X0,X1] :
( m2_rmod_4(sK12(X0,sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8679,f5119]) ).
fof(f8681,plain,
! [X0,X1] :
( m2_rmod_4(sK12(X0,sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8680,f5118]) ).
fof(f8682,plain,
! [X0,X1] :
( m2_rmod_4(sK12(X0,sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8681,f5117]) ).
fof(f8683,plain,
! [X0,X1] :
( m2_rmod_4(sK12(X0,sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8682,f5116]) ).
fof(f8684,plain,
! [X0,X1] :
( m2_rmod_4(sK12(X0,sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8683,f5115]) ).
fof(f8685,plain,
! [X0,X1] :
( m2_rmod_4(sK12(X0,sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| v10_vectsp_1(sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8684,f5114]) ).
fof(f8686,plain,
! [X0,X1] :
( m2_rmod_4(sK12(X0,sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),X0)
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f8685,f5113]) ).
fof(f8687,plain,
! [X0,X1] :
( m2_rmod_4(sK12(X0,sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),X0) ),
inference(forward_subsumption_resolution,[],[f8686,f5111]) ).
fof(f8774,plain,
( $false
| ~ spl270_11 ),
inference(unit_resulting_resolution,[],[f5261,f5121,f5122,f5126,f5127,f5128,f5129,f5130,f5111,f5123,f5115,f5116,f5118,f5119,f5120,f5124,f5125,f7589,f7519,f5114]) ).
fof(f8775,plain,
( $false
| ~ spl270_25 ),
inference(unit_resulting_resolution,[],[f5261,f5121,f5122,f5126,f5127,f5128,f5129,f5130,f5111,f5123,f5115,f5116,f5118,f5119,f5120,f5124,f5125,f8464,f8327,f5114]) ).
fof(f8776,plain,
( $false
| ~ spl270_22 ),
inference(unit_resulting_resolution,[],[f5261,f5121,f5122,f5126,f5127,f5128,f5129,f5130,f5111,f5123,f5115,f5116,f5118,f5119,f5120,f5124,f5125,f8079,f8008,f5114]) ).
fof(f8778,plain,
~ spl270_11,
inference(avatar_contradiction_clause,[],[f8774]) ).
fof(f8779,plain,
~ spl270_25,
inference(avatar_contradiction_clause,[],[f8775]) ).
fof(f8780,plain,
~ spl270_22,
inference(avatar_contradiction_clause,[],[f8776]) ).
fof(f8828,plain,
( ~ v4_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| m1_rmod_2(k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0),sK13,k1_rmod_2(sK13,sK14)) ),
inference(forward_subsumption_resolution,[],[f8320,f7961]) ).
fof(f8869,plain,
( ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| m1_rmod_2(k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0),sK13,k1_rmod_2(sK13,sK14)) ),
inference(forward_subsumption_resolution,[],[f8828,f7939]) ).
fof(f8910,plain,
( ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| m1_rmod_2(k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0),sK13,k1_rmod_2(sK13,sK14)) ),
inference(forward_subsumption_resolution,[],[f8869,f7842]) ).
fof(f8951,plain,
( v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| m1_rmod_2(k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0),sK13,k1_rmod_2(sK13,sK14)) ),
inference(forward_subsumption_resolution,[],[f8910,f7884]) ).
fof(f8992,plain,
( v3_struct_0(k1_rmod_2(sK13,sK14))
| m1_rmod_2(k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0),sK13,k1_rmod_2(sK13,sK14)) ),
inference(forward_subsumption_resolution,[],[f8951,f7820]) ).
fof(f9099,definition,
( spl270_62
<=> m1_rmod_2(k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0),sK13,k1_rmod_2(sK13,sK14)) ),
introduced(definition,[new_symbols(definition,[spl270_62])],[avatar_definition]) ).
fof(f9100,plain,
( m1_rmod_2(k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0),sK13,k1_rmod_2(sK13,sK14))
| ~ spl270_62 ),
inference(avatar_component_clause,[],[f9099]) ).
fof(f9101,plain,
( spl270_62
| spl270_11 ),
inference(avatar_split_clause,[],[f8992,f7588,f9099]) ).
fof(f9331,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v3_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13)
| ~ spl270_62 ),
inference(resolution,[],[f9100,f5333]) ).
fof(f9334,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13)
| ~ spl270_62 ),
inference(forward_subsumption_resolution,[],[f9331,f7961]) ).
fof(f9336,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13)
| ~ spl270_62 ),
inference(forward_subsumption_resolution,[],[f9334,f7939]) ).
fof(f9338,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13)
| ~ spl270_62 ),
inference(forward_subsumption_resolution,[],[f9336,f7842]) ).
fof(f9340,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13)
| ~ spl270_62 ),
inference(forward_subsumption_resolution,[],[f9338,f7884]) ).
fof(f9342,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13)
| ~ spl270_62 ),
inference(forward_subsumption_resolution,[],[f9340,f7718]) ).
fof(f9344,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13)
| ~ spl270_62 ),
inference(forward_subsumption_resolution,[],[f9342,f7820]) ).
fof(f9346,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13)
| ~ spl270_62 ),
inference(forward_subsumption_resolution,[],[f9344,f5123]) ).
fof(f9348,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13)
| ~ spl270_62 ),
inference(forward_subsumption_resolution,[],[f9346,f5122]) ).
fof(f9350,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13)
| ~ spl270_62 ),
inference(forward_subsumption_resolution,[],[f9348,f5121]) ).
fof(f9352,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13)
| ~ spl270_62 ),
inference(forward_subsumption_resolution,[],[f9350,f5120]) ).
fof(f9354,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13)
| ~ spl270_62 ),
inference(forward_subsumption_resolution,[],[f9352,f5119]) ).
fof(f9356,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13)
| ~ spl270_62 ),
inference(forward_subsumption_resolution,[],[f9354,f5118]) ).
fof(f9358,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13)
| ~ spl270_62 ),
inference(forward_subsumption_resolution,[],[f9356,f5116]) ).
fof(f9360,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v8_vectsp_1(sK13)
| ~ l3_vectsp_1(sK13)
| ~ spl270_62 ),
inference(forward_subsumption_resolution,[],[f9358,f5115]) ).
fof(f9362,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ l3_vectsp_1(sK13)
| ~ spl270_62 ),
inference(forward_subsumption_resolution,[],[f9360,f5114]) ).
fof(f9364,plain,
( m1_rmod_2(k1_rmod_2(sK13,k1_rmod_2(sK13,sK14)),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ spl270_62 ),
inference(forward_subsumption_resolution,[],[f9362,f5111]) ).
fof(f9366,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ spl270_62 ),
inference(forward_demodulation,[],[f9364,f7554]) ).
fof(f9372,definition,
( spl270_80
<=> m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0)) ),
introduced(definition,[new_symbols(definition,[spl270_80])],[avatar_definition]) ).
fof(f9373,plain,
( m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| ~ spl270_80 ),
inference(avatar_component_clause,[],[f9372]) ).
fof(f9374,plain,
( spl270_11
| spl270_80
| ~ spl270_62 ),
inference(avatar_split_clause,[],[f9366,f9099,f9372,f7588]) ).
fof(f10270,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,sK13)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X1,sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_5(sK13,X0,np__0) = X1
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(resolution,[],[f8294,f8296]) ).
fof(f10271,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,sK13)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X1,sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_5(sK13,X0,np__0) = X1
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f10270,f5122]) ).
fof(f10273,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,sK13)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X1,sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_5(sK13,X0,np__0) = X1
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f10271,f5121]) ).
fof(f10275,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,sK13)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X1,sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_5(sK13,X0,np__0) = X1
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f10273,f5120]) ).
fof(f10277,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,sK13)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X1,sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_5(sK13,X0,np__0) = X1
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f10275,f5119]) ).
fof(f10279,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,sK13)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X1,sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_5(sK13,X0,np__0) = X1
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f10277,f5118]) ).
fof(f10281,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,sK13)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X1,sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_5(sK13,X0,np__0) = X1
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f10279,f5117]) ).
fof(f10283,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,sK13)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X1,sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_5(sK13,X0,np__0) = X1
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f10281,f5116]) ).
fof(f10284,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,sK13)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X1,sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_5(sK13,X0,np__0) = X1
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f10283,f5115]) ).
fof(f10285,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,sK13)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X1,sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_5(sK13,X0,np__0) = X1
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f10284,f5114]) ).
fof(f10286,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,sK13)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X1,sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_5(sK13,X0,np__0) = X1
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f10285,f5113]) ).
fof(f10287,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,sK13)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X1,sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_5(sK13,X0,np__0) = X1
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f10286,f5112]) ).
fof(f10288,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,sK13)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X1,sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_5(sK13,X0,np__0) = X1
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f10287,f5111]) ).
fof(f10289,plain,
! [X0,X1] :
( ~ v3_vectsp_2(X1,sK13)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,X1)
| ~ v5_vectsp_2(X1,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ m1_rmod_2(X1,sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_5(sK13,X0,np__0) = X1
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f10288,f5123]) ).
fof(f10291,plain,
( ! [X0] :
( v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v3_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,X0,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) )
| ~ spl270_12 ),
inference(resolution,[],[f10289,f7592]) ).
fof(f10294,plain,
( ! [X0] :
( v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,X0,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) )
| ~ spl270_12 ),
inference(forward_subsumption_resolution,[],[f10291,f7961]) ).
fof(f10296,plain,
( ! [X0] :
( v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,X0,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) )
| ~ spl270_12 ),
inference(forward_subsumption_resolution,[],[f10294,f7939]) ).
fof(f10298,plain,
( ! [X0] :
( v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,X0,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) )
| ~ spl270_12 ),
inference(forward_subsumption_resolution,[],[f10296,f7842]) ).
fof(f10300,plain,
( ! [X0] :
( v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,X0,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) )
| ~ spl270_12 ),
inference(forward_subsumption_resolution,[],[f10298,f7884]) ).
fof(f10302,plain,
( ! [X0] :
( v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,k1_rmod_2(sK13,sK14))
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,X0,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) )
| ~ spl270_12 ),
inference(forward_subsumption_resolution,[],[f10300,f7718]) ).
fof(f10304,plain,
( ! [X0] :
( v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,k1_rmod_2(sK13,sK14))
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,X0,np__0))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,X0,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) )
| ~ spl270_12 ),
inference(forward_subsumption_resolution,[],[f10302,f7820]) ).
fof(f10307,definition,
( spl270_135
<=> ! [X0] :
( ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,k1_rmod_2(sK13,sK14))
| ~ l1_vectsp_2(X0,sK13)
| ~ v5_vectsp_2(X0,sK13)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,X0,np__0)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,X0,np__0)) ) ),
introduced(definition,[new_symbols(definition,[spl270_135])],[avatar_definition]) ).
fof(f10308,plain,
( ! [X0] :
( ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,k1_rmod_2(sK13,sK14))
| ~ l1_vectsp_2(X0,sK13)
| ~ v5_vectsp_2(X0,sK13)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,X0,np__0)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,X0,np__0)) )
| ~ spl270_135 ),
inference(avatar_component_clause,[],[f10307]) ).
fof(f10309,plain,
( spl270_135
| spl270_11
| ~ spl270_12 ),
inference(avatar_split_clause,[],[f10304,f7591,f7588,f10307]) ).
fof(f10316,plain,
( ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v3_rlvect_1(k1_rmod_2(sK13,sK14))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| ~ spl270_62
| ~ spl270_135 ),
inference(resolution,[],[f10308,f9100]) ).
fof(f10317,plain,
( ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v3_rlvect_1(k1_rmod_2(sK13,sK14))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| ~ spl270_62
| ~ spl270_135 ),
inference(forward_subsumption_resolution,[],[f10316,f7820]) ).
fof(f10318,plain,
( ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v3_rlvect_1(k1_rmod_2(sK13,sK14))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| ~ spl270_62
| ~ spl270_135 ),
inference(forward_subsumption_resolution,[],[f10317,f7718]) ).
fof(f10319,plain,
( ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v3_rlvect_1(k1_rmod_2(sK13,sK14))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| ~ spl270_62
| ~ spl270_135 ),
inference(forward_subsumption_resolution,[],[f10318,f7884]) ).
fof(f10320,plain,
( ~ v4_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v3_rlvect_1(k1_rmod_2(sK13,sK14))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| ~ spl270_62
| ~ spl270_135 ),
inference(forward_subsumption_resolution,[],[f10319,f7842]) ).
fof(f10321,plain,
( ~ v3_rlvect_1(k1_rmod_2(sK13,sK14))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| ~ spl270_62
| ~ spl270_135 ),
inference(forward_subsumption_resolution,[],[f10320,f7939]) ).
fof(f10322,plain,
( v3_struct_0(k1_rmod_2(sK13,sK14))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0))
| ~ spl270_62
| ~ spl270_135 ),
inference(forward_subsumption_resolution,[],[f10321,f7961]) ).
fof(f10323,plain,
( v3_struct_0(k1_rmod_2(sK13,sK14))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0)
| ~ spl270_62
| ~ spl270_80
| ~ spl270_135 ),
inference(forward_subsumption_resolution,[],[f10322,f9373]) ).
fof(f10325,definition,
( spl270_136
<=> k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0) ),
introduced(definition,[new_symbols(definition,[spl270_136])],[avatar_definition]) ).
fof(f10326,plain,
( k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,k1_rmod_2(sK13,sK14),np__0)
| ~ spl270_136 ),
inference(avatar_component_clause,[],[f10325]) ).
fof(f10327,plain,
( spl270_136
| spl270_11
| ~ spl270_62
| ~ spl270_80
| ~ spl270_135 ),
inference(avatar_split_clause,[],[f10323,f10307,f9372,f9099,f7588,f10325]) ).
fof(f10454,plain,
( ! [X0] :
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),X0)
| ~ r1_rlvect_1(k1_rmod_2(sK13,sK14),X0) )
| ~ spl270_26 ),
inference(resolution,[],[f8468,f8362]) ).
fof(f11358,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,sK31(X1,X2,X0))
| ~ r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(resolution,[],[f5221,f5114]) ).
fof(f11359,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,sK31(X1,X2,X0))
| ~ r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f11358,f5123]) ).
fof(f11360,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,sK31(X1,X2,X0))
| ~ r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f11359,f5122]) ).
fof(f11361,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,sK31(X1,X2,X0))
| ~ r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f11360,f5121]) ).
fof(f11362,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,sK31(X1,X2,X0))
| ~ r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f11361,f5120]) ).
fof(f11363,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,sK31(X1,X2,X0))
| ~ r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f11362,f5119]) ).
fof(f11364,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,sK31(X1,X2,X0))
| ~ r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f11363,f5118]) ).
fof(f11365,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,sK31(X1,X2,X0))
| ~ r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f11364,f5116]) ).
fof(f11366,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X0,sK31(X1,X2,X0))
| ~ r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f11365,f5115]) ).
fof(f11367,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ r1_rlvect_1(X0,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| X0 = X2 ),
inference(forward_subsumption_resolution,[],[f11366,f5111]) ).
fof(f11370,definition,
( spl270_185
<=> v3_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13) ),
introduced(definition,[new_symbols(definition,[spl270_185])],[avatar_definition]) ).
fof(f11371,plain,
( ~ v3_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| spl270_185 ),
inference(avatar_component_clause,[],[f11370]) ).
fof(f11378,plain,
( ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(resolution,[],[f11371,f8296]) ).
fof(f11381,plain,
( ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11378,f5122]) ).
fof(f11382,plain,
( ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11381,f5121]) ).
fof(f11383,plain,
( ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11382,f5120]) ).
fof(f11384,plain,
( ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11383,f5119]) ).
fof(f11385,plain,
( ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11384,f5118]) ).
fof(f11386,plain,
( ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11385,f5117]) ).
fof(f11387,plain,
( ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11386,f5116]) ).
fof(f11388,plain,
( ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11387,f5115]) ).
fof(f11389,plain,
( v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11388,f5114]) ).
fof(f11390,plain,
( ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11389,f5113]) ).
fof(f11391,plain,
( ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11390,f5112]) ).
fof(f11392,plain,
( v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11391,f5111]) ).
fof(f11393,plain,
( ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11392,f5130]) ).
fof(f11394,plain,
( ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11393,f5129]) ).
fof(f11395,plain,
( ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11394,f5128]) ).
fof(f11396,plain,
( ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11395,f5127]) ).
fof(f11397,plain,
( ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11396,f5126]) ).
fof(f11398,plain,
( ~ l1_vectsp_2(sK14,sK13)
| v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11397,f5125]) ).
fof(f11399,plain,
( v3_struct_0(sK13)
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11398,f5124]) ).
fof(f11400,plain,
( $false
| spl270_185 ),
inference(forward_subsumption_resolution,[],[f11399,f5123]) ).
fof(f11401,plain,
spl270_185,
inference(avatar_contradiction_clause,[],[f11400]) ).
fof(f17025,plain,
! [X2,X0,X1] :
( r1_rlvect_1(X0,sK31(X1,X2,X0))
| r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(resolution,[],[f5220,f5114]) ).
fof(f17026,plain,
! [X2,X0,X1] :
( r1_rlvect_1(X0,sK31(X1,X2,X0))
| r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f17025,f5123]) ).
fof(f17027,plain,
! [X2,X0,X1] :
( r1_rlvect_1(X0,sK31(X1,X2,X0))
| r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f17026,f5122]) ).
fof(f17028,plain,
! [X2,X0,X1] :
( r1_rlvect_1(X0,sK31(X1,X2,X0))
| r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f17027,f5121]) ).
fof(f17029,plain,
! [X2,X0,X1] :
( r1_rlvect_1(X0,sK31(X1,X2,X0))
| r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f17028,f5120]) ).
fof(f17030,plain,
! [X2,X0,X1] :
( r1_rlvect_1(X0,sK31(X1,X2,X0))
| r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v4_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f17029,f5119]) ).
fof(f17031,plain,
! [X2,X0,X1] :
( r1_rlvect_1(X0,sK31(X1,X2,X0))
| r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f17030,f5118]) ).
fof(f17032,plain,
! [X2,X0,X1] :
( r1_rlvect_1(X0,sK31(X1,X2,X0))
| r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v7_vectsp_1(sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f17031,f5116]) ).
fof(f17033,plain,
! [X2,X0,X1] :
( r1_rlvect_1(X0,sK31(X1,X2,X0))
| r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| X0 = X2
| ~ l3_vectsp_1(sK13) ),
inference(forward_subsumption_resolution,[],[f17032,f5115]) ).
fof(f17034,plain,
! [X2,X0,X1] :
( ~ v3_vectsp_2(X2,sK13)
| r1_rlvect_1(X2,sK31(X1,X2,X0))
| ~ v3_vectsp_2(X0,sK13)
| ~ m1_rmod_2(X0,sK13,X1)
| r1_rlvect_1(X0,sK31(X1,X2,X0))
| ~ m1_rmod_2(X2,sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| X0 = X2 ),
inference(forward_subsumption_resolution,[],[f17033,f5111]) ).
fof(f17038,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,X1)
| r1_rlvect_1(X2,sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = X2
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(resolution,[],[f17034,f8296]) ).
fof(f17040,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,X1)
| r1_rlvect_1(X2,sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = X2
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17038,f5122]) ).
fof(f17041,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,X1)
| r1_rlvect_1(X2,sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = X2
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17040,f5121]) ).
fof(f17042,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,X1)
| r1_rlvect_1(X2,sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = X2
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17041,f5120]) ).
fof(f17043,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,X1)
| r1_rlvect_1(X2,sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = X2
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17042,f5119]) ).
fof(f17044,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,X1)
| r1_rlvect_1(X2,sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = X2
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17043,f5118]) ).
fof(f17045,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,X1)
| r1_rlvect_1(X2,sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = X2
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17044,f5117]) ).
fof(f17046,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,X1)
| r1_rlvect_1(X2,sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = X2
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17045,f5116]) ).
fof(f17047,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,X1)
| r1_rlvect_1(X2,sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = X2
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17046,f5115]) ).
fof(f17048,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,X1)
| r1_rlvect_1(X2,sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = X2
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17047,f5114]) ).
fof(f17049,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,X1)
| r1_rlvect_1(X2,sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = X2
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17048,f5113]) ).
fof(f17050,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,X1)
| r1_rlvect_1(X2,sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = X2
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17049,f5112]) ).
fof(f17051,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ v3_vectsp_2(X2,sK13)
| ~ m1_rmod_2(X2,sK13,X1)
| r1_rlvect_1(X2,sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = X2
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17050,f5111]) ).
fof(f17052,plain,
! [X2,X0,X1] :
( ~ v3_vectsp_2(X2,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ m1_rmod_2(X2,sK13,X1)
| r1_rlvect_1(X2,sK31(X1,k1_rmod_5(sK13,X0,np__0),X2))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = X2
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f17051,f5123]) ).
fof(f17056,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X2,np__0),sK13,X1)
| r1_rlvect_1(k1_rmod_5(sK13,X2,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = k1_rmod_5(sK13,X2,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,sK13)
| ~ l1_vectsp_2(X2,sK13)
| v3_struct_0(sK13) ),
inference(resolution,[],[f17052,f8296]) ).
fof(f17058,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X2,np__0),sK13,X1)
| r1_rlvect_1(k1_rmod_5(sK13,X2,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = k1_rmod_5(sK13,X2,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,sK13)
| ~ l1_vectsp_2(X2,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17056,f5122]) ).
fof(f17059,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X2,np__0),sK13,X1)
| r1_rlvect_1(k1_rmod_5(sK13,X2,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = k1_rmod_5(sK13,X2,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,sK13)
| ~ l1_vectsp_2(X2,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17058,f5121]) ).
fof(f17060,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X2,np__0),sK13,X1)
| r1_rlvect_1(k1_rmod_5(sK13,X2,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = k1_rmod_5(sK13,X2,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,sK13)
| ~ l1_vectsp_2(X2,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17059,f5120]) ).
fof(f17061,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X2,np__0),sK13,X1)
| r1_rlvect_1(k1_rmod_5(sK13,X2,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = k1_rmod_5(sK13,X2,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,sK13)
| ~ l1_vectsp_2(X2,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17060,f5119]) ).
fof(f17062,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X2,np__0),sK13,X1)
| r1_rlvect_1(k1_rmod_5(sK13,X2,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = k1_rmod_5(sK13,X2,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,sK13)
| ~ l1_vectsp_2(X2,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17061,f5118]) ).
fof(f17063,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X2,np__0),sK13,X1)
| r1_rlvect_1(k1_rmod_5(sK13,X2,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = k1_rmod_5(sK13,X2,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,sK13)
| ~ l1_vectsp_2(X2,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17062,f5117]) ).
fof(f17064,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X2,np__0),sK13,X1)
| r1_rlvect_1(k1_rmod_5(sK13,X2,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = k1_rmod_5(sK13,X2,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,sK13)
| ~ l1_vectsp_2(X2,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17063,f5116]) ).
fof(f17065,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X2,np__0),sK13,X1)
| r1_rlvect_1(k1_rmod_5(sK13,X2,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = k1_rmod_5(sK13,X2,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,sK13)
| ~ l1_vectsp_2(X2,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17064,f5115]) ).
fof(f17066,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X2,np__0),sK13,X1)
| r1_rlvect_1(k1_rmod_5(sK13,X2,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = k1_rmod_5(sK13,X2,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,sK13)
| ~ l1_vectsp_2(X2,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17065,f5114]) ).
fof(f17067,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X2,np__0),sK13,X1)
| r1_rlvect_1(k1_rmod_5(sK13,X2,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = k1_rmod_5(sK13,X2,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,sK13)
| ~ l1_vectsp_2(X2,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17066,f5113]) ).
fof(f17068,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X2,np__0),sK13,X1)
| r1_rlvect_1(k1_rmod_5(sK13,X2,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = k1_rmod_5(sK13,X2,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,sK13)
| ~ l1_vectsp_2(X2,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17067,f5112]) ).
fof(f17069,plain,
! [X2,X0,X1] :
( r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X2,np__0),sK13,X1)
| r1_rlvect_1(k1_rmod_5(sK13,X2,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = k1_rmod_5(sK13,X2,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,sK13)
| ~ l1_vectsp_2(X2,sK13)
| v3_struct_0(sK13) ),
inference(forward_subsumption_resolution,[],[f17068,f5111]) ).
fof(f17070,plain,
! [X2,X0,X1] :
( ~ l1_vectsp_2(X2,sK13)
| ~ m1_rmod_2(k1_rmod_5(sK13,X2,np__0),sK13,X1)
| r1_rlvect_1(k1_rmod_5(sK13,X2,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| k1_rmod_5(sK13,X0,np__0) = k1_rmod_5(sK13,X2,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(X1,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,X2,np__0))) ),
inference(forward_subsumption_resolution,[],[f17069,f5123]) ).
fof(f20917,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,X0)
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(X0,k1_rmod_5(sK13,X1,np__0),k1_rmod_5(sK13,sK14,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X0,sK13)
| k1_rmod_5(sK13,sK14,np__0) = k1_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),sK31(X0,k1_rmod_5(sK13,X1,np__0),k1_rmod_5(sK13,sK14,np__0))) ),
inference(resolution,[],[f17070,f5124]) ).
fof(f20922,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,X0)
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(X0,k1_rmod_5(sK13,X1,np__0),k1_rmod_5(sK13,sK14,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X0,sK13)
| k1_rmod_5(sK13,sK14,np__0) = k1_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),sK31(X0,k1_rmod_5(sK13,X1,np__0),k1_rmod_5(sK13,sK14,np__0))) ),
inference(forward_subsumption_resolution,[],[f20917,f5130]) ).
fof(f20928,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,X0)
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(X0,k1_rmod_5(sK13,X1,np__0),k1_rmod_5(sK13,sK14,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X0,sK13)
| k1_rmod_5(sK13,sK14,np__0) = k1_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),sK31(X0,k1_rmod_5(sK13,X1,np__0),k1_rmod_5(sK13,sK14,np__0))) ),
inference(forward_subsumption_resolution,[],[f20922,f5129]) ).
fof(f20934,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,X0)
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(X0,k1_rmod_5(sK13,X1,np__0),k1_rmod_5(sK13,sK14,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X0,sK13)
| k1_rmod_5(sK13,sK14,np__0) = k1_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),sK31(X0,k1_rmod_5(sK13,X1,np__0),k1_rmod_5(sK13,sK14,np__0))) ),
inference(forward_subsumption_resolution,[],[f20928,f5128]) ).
fof(f20940,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,X0)
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(X0,k1_rmod_5(sK13,X1,np__0),k1_rmod_5(sK13,sK14,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X0,sK13)
| k1_rmod_5(sK13,sK14,np__0) = k1_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),sK31(X0,k1_rmod_5(sK13,X1,np__0),k1_rmod_5(sK13,sK14,np__0))) ),
inference(forward_subsumption_resolution,[],[f20934,f5127]) ).
fof(f20946,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,X0)
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(X0,k1_rmod_5(sK13,X1,np__0),k1_rmod_5(sK13,sK14,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X0,sK13)
| k1_rmod_5(sK13,sK14,np__0) = k1_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| ~ v5_vectsp_2(sK14,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),sK31(X0,k1_rmod_5(sK13,X1,np__0),k1_rmod_5(sK13,sK14,np__0))) ),
inference(forward_subsumption_resolution,[],[f20940,f5126]) ).
fof(f20958,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,X0)
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(X0,k1_rmod_5(sK13,X1,np__0),k1_rmod_5(sK13,sK14,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X1,np__0),sK13,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,sK13)
| ~ l1_vectsp_2(X0,sK13)
| k1_rmod_5(sK13,sK14,np__0) = k1_rmod_5(sK13,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,sK13)
| ~ l1_vectsp_2(X1,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X1,np__0),sK31(X0,k1_rmod_5(sK13,X1,np__0),k1_rmod_5(sK13,sK14,np__0))) ),
inference(forward_subsumption_resolution,[],[f20946,f5125]) ).
fof(f20978,plain,
! [X0] :
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,sK14,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,sK14)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_5(sK13,sK14,np__0) = k1_rmod_5(sK13,X0,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(sK14,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,sK14,np__0))) ),
inference(resolution,[],[f20958,f8327]) ).
fof(f20979,plain,
! [X0] :
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,sK14,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_5(sK13,sK14,np__0) = k1_rmod_5(sK13,X0,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(sK14,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,sK14,np__0))) ),
inference(forward_subsumption_resolution,[],[f20978,f5130]) ).
fof(f20981,plain,
! [X0] :
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,sK14,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_5(sK13,sK14,np__0) = k1_rmod_5(sK13,X0,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(sK14,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,sK14,np__0))) ),
inference(forward_subsumption_resolution,[],[f20979,f5129]) ).
fof(f20983,plain,
! [X0] :
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,sK14,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_5(sK13,sK14,np__0) = k1_rmod_5(sK13,X0,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(sK14,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,sK14,np__0))) ),
inference(forward_subsumption_resolution,[],[f20981,f5128]) ).
fof(f20985,plain,
! [X0] :
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,sK14,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_5(sK13,sK14,np__0) = k1_rmod_5(sK13,X0,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(sK14,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,sK14,np__0))) ),
inference(forward_subsumption_resolution,[],[f20983,f5127]) ).
fof(f20987,plain,
! [X0] :
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,sK14,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_5(sK13,sK14,np__0) = k1_rmod_5(sK13,X0,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(sK14,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,sK14,np__0))) ),
inference(forward_subsumption_resolution,[],[f20985,f5126]) ).
fof(f20989,plain,
! [X0] :
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,sK14,np__0)))
| ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,sK14)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_5(sK13,sK14,np__0) = k1_rmod_5(sK13,X0,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(sK14,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,sK14,np__0))) ),
inference(forward_subsumption_resolution,[],[f20987,f5125]) ).
fof(f20991,plain,
! [X0] :
( ~ m1_rmod_2(k1_rmod_5(sK13,X0,np__0),sK13,sK14)
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,sK14,np__0)))
| k1_rmod_5(sK13,sK14,np__0) = k1_rmod_5(sK13,X0,np__0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK13)
| ~ l1_vectsp_2(X0,sK13)
| r1_rlvect_1(k1_rmod_5(sK13,X0,np__0),sK31(sK14,k1_rmod_5(sK13,X0,np__0),k1_rmod_5(sK13,sK14,np__0))) ),
inference(forward_subsumption_resolution,[],[f20989,f5124]) ).
fof(f20998,plain,
( ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,sK14)
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,sK14,np__0)
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v3_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| r1_rlvect_1(k1_rmod_2(sK13,sK14),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| ~ spl270_136 ),
inference(superposition,[],[f20991,f10326]) ).
fof(f21000,plain,
( ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,sK14)
| r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,sK14,np__0)
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v3_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ spl270_26
| ~ spl270_136 ),
inference(forward_subsumption_resolution,[],[f20998,f10454]) ).
fof(f21001,plain,
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,sK14,np__0)
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v3_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ spl270_26
| ~ spl270_136 ),
inference(forward_subsumption_resolution,[],[f21000,f7519]) ).
fof(f21002,plain,
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v3_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ spl270_26
| ~ spl270_136 ),
inference(forward_subsumption_resolution,[],[f21001,f6845]) ).
fof(f21003,plain,
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v4_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ spl270_26
| ~ spl270_136 ),
inference(forward_subsumption_resolution,[],[f21002,f7961]) ).
fof(f21004,plain,
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v5_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ spl270_26
| ~ spl270_136 ),
inference(forward_subsumption_resolution,[],[f21003,f7939]) ).
fof(f21005,plain,
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v6_rlvect_1(k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ spl270_26
| ~ spl270_136 ),
inference(forward_subsumption_resolution,[],[f21004,f7842]) ).
fof(f21006,plain,
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ v5_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ spl270_26
| ~ spl270_136 ),
inference(forward_subsumption_resolution,[],[f21005,f7884]) ).
fof(f21007,plain,
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ l1_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ spl270_26
| ~ spl270_136 ),
inference(forward_subsumption_resolution,[],[f21006,f7718]) ).
fof(f21008,plain,
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| v3_struct_0(k1_rmod_2(sK13,sK14))
| ~ spl270_26
| ~ spl270_136 ),
inference(forward_subsumption_resolution,[],[f21007,f7820]) ).
fof(f21010,definition,
( spl270_625
<=> r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0))) ),
introduced(definition,[new_symbols(definition,[spl270_625])],[avatar_definition]) ).
fof(f21011,plain,
( r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| ~ spl270_625 ),
inference(avatar_component_clause,[],[f21010]) ).
fof(f21012,plain,
( spl270_11
| spl270_625
| ~ spl270_26
| ~ spl270_136 ),
inference(avatar_split_clause,[],[f21008,f10325,f8467,f21010,f7588]) ).
fof(f21014,plain,
( v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)) = k5_rmod_4(sK13,sK14,sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0))
| ~ spl270_625 ),
inference(resolution,[],[f21011,f8656]) ).
fof(f21015,plain,
( ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)) = k5_rmod_4(sK13,sK14,sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0))
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21014,f5130]) ).
fof(f21016,plain,
( ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)) = k5_rmod_4(sK13,sK14,sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0))
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21015,f5129]) ).
fof(f21017,plain,
( ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)) = k5_rmod_4(sK13,sK14,sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0))
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21016,f5128]) ).
fof(f21018,plain,
( ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)) = k5_rmod_4(sK13,sK14,sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0))
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21017,f5127]) ).
fof(f21019,plain,
( ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)) = k5_rmod_4(sK13,sK14,sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0))
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21018,f5126]) ).
fof(f21020,plain,
( ~ l1_vectsp_2(sK14,sK13)
| sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)) = k5_rmod_4(sK13,sK14,sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0))
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21019,f5125]) ).
fof(f21021,plain,
( sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)) = k5_rmod_4(sK13,sK14,sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0))
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21020,f5124]) ).
fof(f21026,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(superposition,[],[f7261,f21021]) ).
fof(f21029,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21026,f5123]) ).
fof(f21034,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21029,f5122]) ).
fof(f21039,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21034,f5121]) ).
fof(f21044,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ v6_rlvect_1(sK13)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21039,f5120]) ).
fof(f21049,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ v4_group_1(sK13)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21044,f5119]) ).
fof(f21054,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ v7_group_1(sK13)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21049,f5118]) ).
fof(f21059,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ v6_vectsp_1(sK13)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21054,f5117]) ).
fof(f21064,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ v7_vectsp_1(sK13)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21059,f5116]) ).
fof(f21069,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ v8_vectsp_1(sK13)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21064,f5115]) ).
fof(f21074,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| v10_vectsp_1(sK13)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21069,f5114]) ).
fof(f21079,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ v2_vectsp_2(sK13)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21074,f5113]) ).
fof(f21084,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ l3_vectsp_1(sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21079,f5112]) ).
fof(f21089,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21084,f5111]) ).
fof(f21094,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21089,f5130]) ).
fof(f21099,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21094,f5129]) ).
fof(f21104,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21099,f5128]) ).
fof(f21109,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21104,f5127]) ).
fof(f21114,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21109,f5126]) ).
fof(f21134,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21114,f5125]) ).
fof(f21137,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| ~ spl270_625 ),
inference(forward_subsumption_resolution,[],[f21134,f5124]) ).
fof(f21140,definition,
( spl270_631
<=> m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0) ),
introduced(definition,[new_symbols(definition,[spl270_631])],[avatar_definition]) ).
fof(f21141,plain,
( ~ m2_rmod_4(sK12(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14,np__0),sK13,sK14,np__0)
| spl270_631 ),
inference(avatar_component_clause,[],[f21140]) ).
fof(f21143,definition,
( spl270_632
<=> r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14)) ),
introduced(definition,[new_symbols(definition,[spl270_632])],[avatar_definition]) ).
fof(f21144,plain,
( r2_hidden(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),a_2_0_rmod_5(sK13,sK14))
| ~ spl270_632 ),
inference(avatar_component_clause,[],[f21143]) ).
fof(f21145,plain,
( ~ spl270_631
| spl270_632
| ~ spl270_625 ),
inference(avatar_split_clause,[],[f21137,f21010,f21143,f21140]) ).
fof(f21149,plain,
( v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| spl270_631 ),
inference(resolution,[],[f21141,f8687]) ).
fof(f21153,plain,
( ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| spl270_631 ),
inference(forward_subsumption_resolution,[],[f21149,f5130]) ).
fof(f21154,plain,
( ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| spl270_631 ),
inference(forward_subsumption_resolution,[],[f21153,f5129]) ).
fof(f21155,plain,
( ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| spl270_631 ),
inference(forward_subsumption_resolution,[],[f21154,f5128]) ).
fof(f21156,plain,
( ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| spl270_631 ),
inference(forward_subsumption_resolution,[],[f21155,f5127]) ).
fof(f21157,plain,
( ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| spl270_631 ),
inference(forward_subsumption_resolution,[],[f21156,f5126]) ).
fof(f21158,plain,
( ~ l1_vectsp_2(sK14,sK13)
| ~ r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| spl270_631 ),
inference(forward_subsumption_resolution,[],[f21157,f5125]) ).
fof(f21159,plain,
( ~ r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)))
| spl270_631 ),
inference(forward_subsumption_resolution,[],[f21158,f5124]) ).
fof(f21160,plain,
( $false
| ~ spl270_625
| spl270_631 ),
inference(forward_subsumption_resolution,[],[f21159,f21011]) ).
fof(f21161,plain,
( ~ spl270_625
| spl270_631 ),
inference(avatar_contradiction_clause,[],[f21160]) ).
fof(f21162,plain,
( v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rlvect_1(sK14) = k5_rmod_4(sK13,sK14,sK9(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14))
| ~ spl270_632 ),
inference(resolution,[],[f21144,f8204]) ).
fof(f21163,plain,
( sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)) = k5_rmod_4(sK13,sK14,sK9(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14))
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_632 ),
inference(resolution,[],[f21144,f7975]) ).
fof(f21165,plain,
( sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)) = k5_rmod_4(sK13,sK14,sK9(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14))
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21163,f5130]) ).
fof(f21166,plain,
( ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rlvect_1(sK14) = k5_rmod_4(sK13,sK14,sK9(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14))
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21162,f5130]) ).
fof(f21167,plain,
( sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)) = k5_rmod_4(sK13,sK14,sK9(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14))
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21165,f5129]) ).
fof(f21168,plain,
( ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rlvect_1(sK14) = k5_rmod_4(sK13,sK14,sK9(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14))
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21166,f5129]) ).
fof(f21169,plain,
( sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)) = k5_rmod_4(sK13,sK14,sK9(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14))
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21167,f5128]) ).
fof(f21170,plain,
( ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rlvect_1(sK14) = k5_rmod_4(sK13,sK14,sK9(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14))
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21168,f5128]) ).
fof(f21171,plain,
( sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)) = k5_rmod_4(sK13,sK14,sK9(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14))
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21169,f5127]) ).
fof(f21172,plain,
( ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rlvect_1(sK14) = k5_rmod_4(sK13,sK14,sK9(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14))
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21170,f5127]) ).
fof(f21173,plain,
( sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)) = k5_rmod_4(sK13,sK14,sK9(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14))
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21171,f5126]) ).
fof(f21174,plain,
( ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rlvect_1(sK14) = k5_rmod_4(sK13,sK14,sK9(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14))
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21172,f5126]) ).
fof(f21175,plain,
( sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)) = k5_rmod_4(sK13,sK14,sK9(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14))
| ~ l1_vectsp_2(sK14,sK13)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21173,f5125]) ).
fof(f21176,plain,
( ~ l1_vectsp_2(sK14,sK13)
| k1_rlvect_1(sK14) = k5_rmod_4(sK13,sK14,sK9(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14))
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21174,f5125]) ).
fof(f21177,plain,
( sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)) = k5_rmod_4(sK13,sK14,sK9(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14))
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21175,f5124]) ).
fof(f21178,plain,
( k1_rlvect_1(sK14) = k5_rmod_4(sK13,sK14,sK9(sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0)),sK13,sK14))
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21176,f5124]) ).
fof(f21376,plain,
( k1_rlvect_1(sK14) = sK31(sK14,k1_rmod_2(sK13,sK14),k1_rmod_5(sK13,sK14,np__0))
| ~ spl270_632 ),
inference(superposition,[],[f21177,f21178]) ).
fof(f21492,plain,
( ~ r1_rlvect_1(k1_rmod_2(sK13,sK14),k1_rlvect_1(sK14))
| ~ r1_rlvect_1(k1_rmod_5(sK13,sK14,np__0),k1_rlvect_1(sK14))
| ~ v3_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| ~ m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,sK14)
| ~ v3_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,sK14)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,sK14,np__0)
| ~ spl270_632 ),
inference(superposition,[],[f11367,f21376]) ).
fof(f21493,plain,
( ~ r1_rlvect_1(k1_rmod_2(sK13,sK14),k1_rlvect_1(sK14))
| ~ v3_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| ~ m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,sK14)
| ~ v3_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,sK14)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,sK14,np__0)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21492,f8214]) ).
fof(f21496,plain,
( ~ v3_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| ~ m1_rmod_2(k1_rmod_5(sK13,sK14,np__0),sK13,sK14)
| ~ v3_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,sK14)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,sK14,np__0)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21493,f8214]) ).
fof(f21497,plain,
( ~ v3_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| ~ v3_vectsp_2(k1_rmod_2(sK13,sK14),sK13)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,sK14)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,sK14,np__0)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21496,f8318]) ).
fof(f21498,plain,
( ~ v3_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| ~ m1_rmod_2(k1_rmod_2(sK13,sK14),sK13,sK14)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,sK14,np__0)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21497,f7567]) ).
fof(f21499,plain,
( ~ v3_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| v3_struct_0(sK14)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,sK14,np__0)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21498,f7512]) ).
fof(f21500,plain,
( ~ v3_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| ~ v3_rlvect_1(sK14)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,sK14,np__0)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21499,f5130]) ).
fof(f21501,plain,
( ~ v3_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| ~ v4_rlvect_1(sK14)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,sK14,np__0)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21500,f5129]) ).
fof(f21502,plain,
( ~ v3_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| ~ v5_rlvect_1(sK14)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,sK14,np__0)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21501,f5128]) ).
fof(f21503,plain,
( ~ v3_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| ~ v6_rlvect_1(sK14)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,sK14,np__0)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21502,f5127]) ).
fof(f21504,plain,
( ~ v3_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| ~ v5_vectsp_2(sK14,sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,sK14,np__0)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21503,f5126]) ).
fof(f21505,plain,
( ~ v3_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| ~ l1_vectsp_2(sK14,sK13)
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,sK14,np__0)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21504,f5125]) ).
fof(f21506,plain,
( ~ v3_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| k1_rmod_2(sK13,sK14) = k1_rmod_5(sK13,sK14,np__0)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21505,f5124]) ).
fof(f21507,plain,
( ~ v3_vectsp_2(k1_rmod_5(sK13,sK14,np__0),sK13)
| ~ spl270_632 ),
inference(forward_subsumption_resolution,[],[f21506,f6845]) ).
fof(f21508,plain,
( ~ spl270_185
| ~ spl270_632 ),
inference(avatar_split_clause,[],[f21507,f21143,f11370]) ).
cnf(s19,plain,
( spl270_12
| spl270_22 ),
inference(sat_conversion,[],[f8080]) ).
cnf(s22,plain,
( spl270_25
| spl270_26 ),
inference(sat_conversion,[],[f8469]) ).
cnf(s36,plain,
~ spl270_11,
inference(sat_conversion,[],[f8778]) ).
cnf(s37,plain,
~ spl270_25,
inference(sat_conversion,[],[f8779]) ).
cnf(s38,plain,
~ spl270_22,
inference(sat_conversion,[],[f8780]) ).
cnf(s61,plain,
( spl270_11
| spl270_62 ),
inference(sat_conversion,[],[f9101]) ).
cnf(s79,plain,
( spl270_11
| ~ spl270_62
| spl270_80 ),
inference(sat_conversion,[],[f9374]) ).
cnf(s130,plain,
( spl270_11
| ~ spl270_12
| spl270_135 ),
inference(sat_conversion,[],[f10309]) ).
cnf(s131,plain,
( spl270_11
| ~ spl270_62
| ~ spl270_80
| ~ spl270_135
| spl270_136 ),
inference(sat_conversion,[],[f10327]) ).
cnf(s177,plain,
spl270_185,
inference(sat_conversion,[],[f11401]) ).
cnf(s647,plain,
( spl270_11
| ~ spl270_26
| ~ spl270_136
| spl270_625 ),
inference(sat_conversion,[],[f21012]) ).
cnf(s650,plain,
( ~ spl270_625
| ~ spl270_631
| spl270_632 ),
inference(sat_conversion,[],[f21145]) ).
cnf(s654,plain,
( ~ spl270_625
| spl270_631 ),
inference(sat_conversion,[],[f21161]) ).
cnf(s666,plain,
( ~ spl270_185
| ~ spl270_632 ),
inference(sat_conversion,[],[f21508]) ).
cnf(s712,plain,
~ spl270_632,
inference(rat,[],[s666,s177]) ).
cnf(s854,plain,
spl270_62,
inference(rat,[],[s61,s36]) ).
cnf(s861,plain,
spl270_80,
inference(rat,[],[s79,s36,s854]) ).
cnf(s907,plain,
spl270_26,
inference(rat,[],[s22,s37]) ).
cnf(s931,plain,
spl270_12,
inference(rat,[],[s19,s38]) ).
cnf(s933,plain,
spl270_135,
inference(rat,[],[s130,s36,s931]) ).
cnf(s934,plain,
spl270_136,
inference(rat,[],[s131,s861,s854,s36,s933]) ).
cnf(s939,plain,
spl270_625,
inference(rat,[],[s647,s907,s36,s934]) ).
cnf(s947,plain,
spl270_631,
inference(rat,[],[s654,s939]) ).
cnf(s948,plain,
$false,
inference(rat,[],[s650,s712,s947,s939]) ).
fof(f21509,plain,
$false,
inference(avatar_sat_refutation,[],[s948]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG217+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:45:18 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 12.43/2.57 % (1085500)Detected formulas, will run a generic FOF schedule.
% 12.43/2.57 % (1085511)dis-21_1_sil=8000:lcm=predicate:random_seed=1070832432:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 12.43/2.57 % (1085509)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=887985831:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.43/2.57 % (1085508)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=648660399:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.43/2.57 % (1085510)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3208233862:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.43/2.57 % (1085507)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=3430729217:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.43/2.57 % (1085505)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=1974910692:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.43/2.57 % (1085506)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=3426978897:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.43/2.57 % (1085511)Instruction limit reached!
% 12.43/2.57 % (1085511)------------------------------
% 12.43/2.57 % (1085511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.57 % (1085511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.57 % (1085511)CaDiCaL version: 2.1.3
% 12.43/2.57 % (1085511)Termination reason: Instruction limit
% 12.43/2.57 % (1085511)Termination phase: Property scanning
% 12.43/2.57 % (1085511)Time elapsed: 0.051 s
% 12.43/2.57 % (1085511)Peak memory usage: 94 MB
% 12.43/2.57 % (1085511)Instructions burned: 130 (million)
% 12.43/2.57 % (1085508)Instruction limit reached!
% 12.43/2.57 % (1085508)------------------------------
% 12.43/2.57 % (1085508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.57 % (1085508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.57 % (1085508)CaDiCaL version: 2.1.3
% 12.43/2.57 % (1085508)Termination reason: Instruction limit
% 12.43/2.57 % (1085508)Termination phase: Saturation
% 12.43/2.57 % (1085508)Time elapsed: 0.053 s
% 12.43/2.57 % (1085508)Peak memory usage: 92 MB
% 12.43/2.57 % (1085508)Instructions burned: 116 (million)
% 12.43/2.57 % (1085509)Instruction limit reached!
% 12.43/2.57 % (1085509)------------------------------
% 12.43/2.57 % (1085509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.57 % (1085509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.57 % (1085509)CaDiCaL version: 2.1.3
% 12.43/2.57 % (1085509)Termination reason: Instruction limit
% 12.43/2.57 % (1085509)Termination phase: Saturation
% 12.43/2.57 % (1085509)Time elapsed: 0.070 s
% 12.43/2.57 % (1085509)Peak memory usage: 94 MB
% 12.43/2.57 % (1085509)Instructions burned: 120 (million)
% 12.43/2.57 % (1085519)lrs+10_1_sil=8000:sp=occurrence:random_seed=2749367374:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.43/2.57 % (1085510)Instruction limit reached!
% 12.43/2.57 % (1085510)------------------------------
% 12.43/2.57 % (1085510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.57 % (1085510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.57 % (1085510)CaDiCaL version: 2.1.3
% 12.43/2.57 % (1085510)Termination reason: Instruction limit
% 12.43/2.57 % (1085510)Termination phase: Preprocessing 3
% 12.43/2.57 % (1085510)Time elapsed: 0.108 s
% 12.43/2.57 % (1085510)Peak memory usage: 94 MB
% 12.43/2.57 % (1085510)Instructions burned: 139 (million)
% 12.43/2.57 % (1085520)lrs+10_1_sil=32000:urr=on:br=off:random_seed=771528061:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 12.43/2.57 % (1085521)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1424502763:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.43/2.57 % (1085519)Instruction limit reached!
% 12.43/2.57 % (1085519)------------------------------
% 12.43/2.57 % (1085519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.57 % (1085519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.50 % (1085519)CaDiCaL version: 2.1.3
% 19.11/3.50 % (1085519)Termination reason: Instruction limit
% 19.11/3.50 % (1085519)Termination phase: Saturation
% 19.11/3.50 % (1085519)Time elapsed: 0.100 s
% 19.11/3.50 % (1085519)Peak memory usage: 97 MB
% 19.11/3.50 % (1085519)Instructions burned: 287 (million)
% 19.11/3.50 % (1085520)Refutation not found, incomplete strategy
% 19.11/3.50 % (1085520)------------------------------
% 19.11/3.50 % (1085520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.50 % (1085520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.50 % (1085520)CaDiCaL version: 2.1.3
% 19.11/3.50 % (1085520)Termination reason: Refutation not found, incomplete strategy
% 19.11/3.50 % (1085520)Time elapsed: 0.044 s
% 19.11/3.50 % (1085520)Peak memory usage: 93 MB
% 19.11/3.50 % (1085520)Instructions burned: 78 (million)
% 19.11/3.50 % (1085523)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=826350079:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 19.11/3.50 % (1085526)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=184491887:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.11/3.50 % (1085521)Instruction limit reached!
% 19.11/3.50 % (1085521)------------------------------
% 19.11/3.50 % (1085521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.50 % (1085521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.50 % (1085521)CaDiCaL version: 2.1.3
% 19.11/3.50 % (1085521)Termination reason: Instruction limit
% 19.11/3.50 % (1085521)Termination phase: Saturation
% 19.11/3.50 % (1085521)Time elapsed: 0.155 s
% 19.11/3.50 % (1085521)Peak memory usage: 94 MB
% 19.11/3.50 % (1085521)Instructions burned: 326 (million)
% 19.11/3.50 % (1085526)Instruction limit reached!
% 19.11/3.50 % (1085526)------------------------------
% 19.11/3.50 % (1085526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.50 % (1085526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.50 % (1085526)CaDiCaL version: 2.1.3
% 19.11/3.50 % (1085526)Termination reason: Instruction limit
% 19.11/3.50 % (1085526)Termination phase: Saturation
% 19.11/3.50 % (1085526)Time elapsed: 0.079 s
% 19.11/3.50 % (1085526)Peak memory usage: 96 MB
% 19.11/3.50 % (1085526)Instructions burned: 294 (million)
% 19.11/3.50 % (1085523)Instruction limit reached!
% 19.11/3.50 % (1085523)------------------------------
% 19.11/3.50 % (1085523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.50 % (1085523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.50 % (1085523)CaDiCaL version: 2.1.3
% 19.11/3.50 % (1085523)Termination reason: Instruction limit
% 19.11/3.50 % (1085523)Termination phase: Function definition elimination
% 19.11/3.50 % (1085523)Time elapsed: 0.139 s
% 19.11/3.50 % (1085523)Peak memory usage: 96 MB
% 19.11/3.50 % (1085523)Instructions burned: 248 (million)
% 19.11/3.50 % (1085530)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3299340932:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 19.11/3.50 % (1085529)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3514606675:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 19.11/3.50 % (1085520)------------------------------
% 19.11/3.50 % (1085520)------------------------------
% 19.11/3.50 % (1085530)Instruction limit reached!
% 19.11/3.50 % (1085530)------------------------------
% 19.11/3.50 % (1085530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.11/3.50 % (1085530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.11/3.50 % (1085530)CaDiCaL version: 2.1.3
% 19.11/3.50 % (1085530)Termination reason: Instruction limit
% 19.11/3.50 % (1085530)Termination phase: Saturation
% 19.11/3.50 % (1085530)Time elapsed: 0.038 s
% 19.11/3.50 % (1085530)Peak memory usage: 94 MB
% 19.11/3.50 % (1085530)Instructions burned: 117 (million)
% 19.11/3.50 % (1085531)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3928582691:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 19.11/3.50 % (1085535)lrs+10_1_sil=8000:sp=occurrence:random_seed=3907654563:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 19.11/3.50 % (1085531)Instruction limit reached!
% 19.11/3.50 % (1085531)------------------------------
% 19.11/3.50 % (1085531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.24 % (1085531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.24 % (1085531)CaDiCaL version: 2.1.3
% 24.51/4.24 % (1085531)Termination reason: Instruction limit
% 24.51/4.24 % (1085531)Termination phase: Property scanning
% 24.51/4.24 % (1085531)Time elapsed: 0.084 s
% 24.51/4.24 % (1085531)Peak memory usage: 96 MB
% 24.51/4.24 % (1085531)Instructions burned: 129 (million)
% 24.51/4.24 % (1085534)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=775942054:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 24.51/4.24 % (1085534)Instruction limit reached!
% 24.51/4.24 % (1085534)------------------------------
% 24.51/4.24 % (1085534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.24 % (1085534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.24 % (1085534)CaDiCaL version: 2.1.3
% 24.51/4.24 % (1085534)Termination reason: Instruction limit
% 24.51/4.24 % (1085534)Termination phase: Preprocessing 3
% 24.51/4.24 % (1085534)Time elapsed: 0.060 s
% 24.51/4.24 % (1085534)Peak memory usage: 91 MB
% 24.51/4.24 % (1085534)Instructions burned: 115 (million)
% 24.51/4.24 % (1085538)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2370919321:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 24.51/4.24 % (1085538)Refutation not found, incomplete strategy
% 24.51/4.24 % (1085538)------------------------------
% 24.51/4.24 % (1085538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.24 % (1085538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.24 % (1085538)CaDiCaL version: 2.1.3
% 24.51/4.24 % (1085538)Termination reason: Refutation not found, incomplete strategy
% 24.51/4.24 % (1085538)Time elapsed: 0.028 s
% 24.51/4.24 % (1085538)Peak memory usage: 93 MB
% 24.51/4.24 % (1085538)Instructions burned: 41 (million)
% 24.51/4.24 % (1085540)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3789301925:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 24.51/4.24 % (1085535)Instruction limit reached!
% 24.51/4.24 % (1085535)------------------------------
% 24.51/4.24 % (1085535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.24 % (1085535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.24 % (1085535)CaDiCaL version: 2.1.3
% 24.51/4.24 % (1085535)Termination reason: Instruction limit
% 24.51/4.24 % (1085535)Termination phase: Saturation
% 24.51/4.24 % (1085535)Time elapsed: 0.308 s
% 24.51/4.24 % (1085535)Peak memory usage: 108 MB
% 24.51/4.24 % (1085535)Instructions burned: 910 (million)
% 24.51/4.24 % (1085543)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1055762457:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 24.51/4.24 % (1085538)------------------------------
% 24.51/4.24 % (1085538)------------------------------
% 24.51/4.24 % (1085543)Instruction limit reached!
% 24.51/4.24 % (1085543)------------------------------
% 24.51/4.24 % (1085543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.24 % (1085543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.24 % (1085543)CaDiCaL version: 2.1.3
% 24.51/4.24 % (1085543)Termination reason: Instruction limit
% 24.51/4.24 % (1085543)Termination phase: Saturation
% 24.51/4.24 % (1085543)Time elapsed: 0.046 s
% 24.51/4.24 % (1085543)Peak memory usage: 95 MB
% 24.51/4.24 % (1085543)Instructions burned: 136 (million)
% 24.51/4.24 % (1085546)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=298979649:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 24.51/4.24 % (1085545)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1399784248:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 24.51/4.24 % (1085545)Instruction limit reached!
% 24.51/4.24 % (1085545)------------------------------
% 24.51/4.24 % (1085545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.24 % (1085545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.24 % (1085545)CaDiCaL version: 2.1.3
% 24.51/4.24 % (1085545)Termination reason: Instruction limit
% 24.51/4.24 % (1085545)Termination phase: Saturation
% 24.51/4.24 % (1085545)Time elapsed: 0.304 s
% 24.51/4.24 % (1085545)Peak memory usage: 105 MB
% 24.51/4.24 % (1085545)Instructions burned: 592 (million)
% 24.51/4.24 % (1085549)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2936880202:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 24.51/4.24 % (1085549)Instruction limit reached!
% 24.51/4.24 % (1085549)------------------------------
% 24.51/4.24 % (1085549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.24 % (1085549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.24 % (1085549)CaDiCaL version: 2.1.3
% 24.51/4.24 % (1085549)Termination reason: Instruction limit
% 24.51/4.24 % (1085549)Termination phase: Function definition elimination
% 24.51/4.24 % (1085549)Time elapsed: 0.076 s
% 24.51/4.24 % (1085549)Peak memory usage: 92 MB
% 24.51/4.24 % (1085549)Instructions burned: 126 (million)
% 24.51/4.24 % (1085551)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2719985250:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 24.51/4.24 % (1085551)Instruction limit reached!
% 24.51/4.24 % (1085551)------------------------------
% 24.51/4.24 % (1085551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.24 % (1085551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.24 % (1085551)CaDiCaL version: 2.1.3
% 24.51/4.24 % (1085551)Termination reason: Instruction limit
% 24.51/4.24 % (1085551)Termination phase: Preprocessing 2
% 24.51/4.24 % (1085551)Time elapsed: 0.069 s
% 24.51/4.24 % (1085551)Peak memory usage: 90 MB
% 24.51/4.24 % (1085551)Instructions burned: 135 (million)
% 24.51/4.24 % (1085529)Instruction limit reached!
% 24.51/4.24 % (1085529)------------------------------
% 24.51/4.24 % (1085529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.24 % (1085529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.24 % (1085529)CaDiCaL version: 2.1.3
% 24.51/4.24 % (1085529)Termination reason: Instruction limit
% 24.51/4.24 % (1085529)Termination phase: Saturation
% 24.51/4.24 % (1085529)Time elapsed: 1.430 s
% 24.51/4.24 % (1085529)Peak memory usage: 201 MB
% 24.51/4.24 % (1085529)Instructions burned: 2351 (million)
% 24.51/4.24 % (1085553)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1480380076:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/141Mi)
% 24.51/4.24 % (1085553)Refutation not found, incomplete strategy
% 24.51/4.24 % (1085553)------------------------------
% 24.51/4.24 % (1085553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.24 % (1085553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.24 % (1085553)CaDiCaL version: 2.1.3
% 24.51/4.24 % (1085553)Termination reason: Refutation not found, incomplete strategy
% 24.51/4.24 % (1085553)Time elapsed: 0.018 s
% 24.51/4.24 % (1085553)Peak memory usage: 92 MB
% 24.51/4.24 % (1085553)Instructions burned: 23 (million)
% 24.51/4.24 % (1085554)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2505826073:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 24.51/4.24 % (1085554)Refutation not found, incomplete strategy
% 24.51/4.24 % (1085554)------------------------------
% 24.51/4.24 % (1085554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.24 % (1085554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.24 % (1085554)CaDiCaL version: 2.1.3
% 24.51/4.24 % (1085554)Termination reason: Refutation not found, incomplete strategy
% 24.51/4.24 % (1085554)Time elapsed: 0.033 s
% 24.51/4.24 % (1085554)Peak memory usage: 93 MB
% 24.51/4.24 % (1085554)Instructions burned: 49 (million)
% 24.51/4.24 % (1085553)------------------------------
% 24.51/4.24 % (1085553)------------------------------
% 24.51/4.24 % (1085554)------------------------------
% 24.51/4.24 % (1085554)------------------------------
% 24.51/4.24 % (1085557)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=4043586227:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 24.51/4.24 % (1085558)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3639856538:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 24.51/4.24 % (1085558)Instruction limit reached!
% 24.51/4.24 % (1085558)------------------------------
% 24.51/4.24 % (1085558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.24 % (1085558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.24 % (1085558)CaDiCaL version: 2.1.3
% 24.51/4.24 % (1085558)Termination reason: Instruction limit
% 24.51/4.24 % (1085558)Termination phase: Property scanning
% 24.51/4.24 % (1085558)Time elapsed: 0.093 s
% 24.51/4.24 % (1085558)Peak memory usage: 96 MB
% 24.51/4.24 % (1085558)Instructions burned: 151 (million)
% 24.51/4.24 % (1085540)Instruction limit reached!
% 24.51/4.24 % (1085540)------------------------------
% 24.51/4.24 % (1085540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.24 % (1085540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.24 % (1085540)CaDiCaL version: 2.1.3
% 24.51/4.24 % (1085540)Termination reason: Instruction limit
% 24.51/4.24 % (1085540)Termination phase: Saturation
% 24.51/4.24 % (1085540)Time elapsed: 1.823 s
% 24.51/4.24 % (1085540)Peak memory usage: 208 MB
% 24.51/4.24 % (1085540)Instructions burned: 5203 (million)
% 24.51/4.24 % (1085561)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1545959903:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 24.51/4.24 % (1085562)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=836265215:i=667:av=off:fsr=off_2970 on theBenchmark for (2970ds/667Mi)
% 24.51/4.24 % (1085562)Instruction limit reached!
% 24.51/4.24 % (1085562)------------------------------
% 24.51/4.24 % (1085562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.24 % (1085562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.24 % (1085562)CaDiCaL version: 2.1.3
% 24.51/4.24 % (1085562)Termination reason: Instruction limit
% 24.51/4.24 % (1085562)Termination phase: Saturation
% 24.51/4.24 % (1085562)Time elapsed: 0.164 s
% 24.51/4.24 % (1085562)Peak memory usage: 103 MB
% 24.51/4.24 % (1085562)Instructions burned: 668 (million)
% 24.51/4.24 % (1085506)First to succeed.
% 24.51/4.24 % (1085506)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1085500"
% 24.51/4.24 % (1085565)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=707523029:s2a=on:i=185:s2at=1.8:fdi=4_2967 on theBenchmark for (2967ds/185Mi)
% 24.51/4.24 % (1085565)Instruction limit reached!
% 24.51/4.24 % (1085565)------------------------------
% 24.51/4.24 % (1085565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.24 % (1085565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.24 % (1085565)CaDiCaL version: 2.1.3
% 24.51/4.24 % (1085565)Termination reason: Instruction limit
% 24.51/4.24 % (1085565)Termination phase: Property scanning
% 24.51/4.24 % (1085565)Time elapsed: 0.067 s
% 24.51/4.24 % (1085565)Peak memory usage: 97 MB
% 24.51/4.24 % (1085565)Instructions burned: 187 (million)
% 24.51/4.24 % (1085567)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2490995464:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2966 on theBenchmark for (2966ds/193Mi)
% 24.51/4.24 % (1085567)Instruction limit reached!
% 24.51/4.24 % (1085567)------------------------------
% 24.51/4.24 % (1085567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.51/4.24 % (1085567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.51/4.24 % (1085567)CaDiCaL version: 2.1.3
% 24.51/4.24 % (1085567)Termination reason: Instruction limit
% 24.51/4.24 % (1085567)Termination phase: Saturation
% 24.51/4.24 % (1085567)Time elapsed: 0.061 s
% 24.51/4.24 % (1085567)Peak memory usage: 97 MB
% 24.51/4.24 % (1085567)Instructions burned: 195 (million)
% 24.51/4.24 % (1085506)Refutation found. Thanks to Tanya!
% 24.51/4.24 % SZS status Theorem for theBenchmark
% 24.51/4.24 % SZS output start Proof for theBenchmark
% See solution above
% 24.98/4.44 % (1085506)------------------------------
% 24.98/4.44 % (1085506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.98/4.44 % (1085506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.98/4.44 % (1085506)CaDiCaL version: 2.1.3
% 24.98/4.44 % (1085506)Termination reason: Refutation
% 24.98/4.44 % (1085506)Time elapsed: 3.004 s
% 24.98/4.44 % (1085506)Peak memory usage: 161 MB
% 24.98/4.44 % (1085506)Instructions burned: 4833 (million)
% 24.98/4.44 % (1085506)------------------------------
% 24.98/4.44 % (1085506)------------------------------
% 24.98/4.44 % (1085500)Success in time 3.576 s
% 24.98/4.44 % Vampire exiting
%------------------------------------------------------------------------------