%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG217+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 15.27s 3.29s
% Output : Refutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 31
% Syntax : Number of formulae : 434 ( 51 unt; 12 def)
% Number of atoms : 4452 ( 177 equ)
% Maximal formula atoms : 27 ( 10 avg)
% Number of connectives : 7375 (3357 ~;3662 |; 298 &)
% ( 20 <=>; 36 =>; 0 <=; 2 <~>)
% Maximal formula depth : 32 ( 11 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 9 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-4 aty)
% Number of variables : 324 ( 0 sgn 311 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox/benchmark/theBenchmark.p',t11_rmod_5) ).
fof(f2,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)],[f1]) ).
fof(f8,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( r1_rlvect_1(X0,X1)
<=> r2_hidden(X1,u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_rlvect_1) ).
fof(f9,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( ( v3_vectsp_2(X3,X0)
& m1_rmod_2(X3,X0,X1) )
=> ( X3 = k1_rmod_5(X0,X1,X2)
<=> u1_struct_0(X3) = a_3_0_rmod_5(X0,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_rmod_5) ).
fof(f14,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/sandbox/benchmark/theBenchmark.p',dt_k1_rmod_2) ).
fof(f15,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/sandbox/benchmark/theBenchmark.p',dt_k1_rmod_5) ).
fof(f16,axiom,
! [X0] :
( v1_xboole_0(k1_subset_1(X0))
& m1_subset_1(k1_subset_1(X0),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_subset_1) ).
fof(f21,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f22,axiom,
! [X0] :
( l1_rlvect_1(X0)
=> l2_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_rlvect_1) ).
fof(f24,axiom,
! [X0] :
( l1_vectsp_1(X0)
=> l1_group_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_vectsp_1) ).
fof(f25,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( l1_vectsp_2(X1,X0)
=> l1_rlvect_1(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_vectsp_2) ).
fof(f26,axiom,
! [X0] :
( l2_struct_0(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_struct_0) ).
fof(f27,axiom,
! [X0] :
( l2_vectsp_1(X0)
=> ( l1_vectsp_1(X0)
& l2_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_vectsp_1) ).
fof(f28,axiom,
! [X0] :
( l3_vectsp_1(X0)
=> ( l1_rlvect_1(X0)
& l2_vectsp_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_vectsp_1) ).
fof(f31,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/sandbox/benchmark/theBenchmark.p',dt_m1_rmod_2) ).
fof(f63,axiom,
! [X0,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)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
=> ( r2_hidden(X0,a_3_0_rmod_5(X1,X2,X3))
<=> ? [X4] :
( m2_rmod_4(X4,X1,X2,X3)
& X0 = k5_rmod_4(X1,X2,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_3_0_rmod_5) ).
fof(f82,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/sandbox/benchmark/theBenchmark.p',t25_rmod_2) ).
fof(f85,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/sandbox/benchmark/theBenchmark.p',t38_rmod_2) ).
fof(f87,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/sandbox/benchmark/theBenchmark.p',t42_rmod_4) ).
fof(f88,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) )
=> ( r1_rlvect_1(k1_rmod_2(X1,X2),X0)
<=> X0 = k1_rlvect_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_rmod_2) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( k1_rmod_5(X0,X1,k1_subset_1(u1_struct_0(X1))) != k1_rmod_2(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)
& 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,[],[f2]) ).
fof(f101,plain,
? [X0] :
( ? [X1] :
( k1_rmod_5(X0,X1,k1_subset_1(u1_struct_0(X1))) != k1_rmod_2(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)
& 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,[],[f100]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( r1_rlvect_1(X0,X1)
<=> r2_hidden(X1,u1_struct_0(X0)) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k1_rmod_5(X0,X1,X2)
<=> u1_struct_0(X3) = a_3_0_rmod_5(X0,X1,X2) )
| ~ v3_vectsp_2(X3,X0)
| ~ m1_rmod_2(X3,X0,X1) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k1_rmod_5(X0,X1,X2)
<=> u1_struct_0(X3) = a_3_0_rmod_5(X0,X1,X2) )
| ~ v3_vectsp_2(X3,X0)
| ~ m1_rmod_2(X3,X0,X1) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f110]) ).
fof(f116,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,[],[f14]) ).
fof(f117,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,[],[f116]) ).
fof(f118,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,[],[f15]) ).
fof(f119,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,[],[f118]) ).
fof(f122,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f123,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l1_rlvect_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f124,plain,
! [X0] :
( l1_group_1(X0)
| ~ l1_vectsp_1(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( l1_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f126,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f127,plain,
! [X0] :
( ( l1_vectsp_1(X0)
& l2_struct_0(X0) )
| ~ l2_vectsp_1(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f128,plain,
! [X0] :
( ( l1_rlvect_1(X0)
& l2_vectsp_1(X0) )
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f130,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,[],[f31]) ).
fof(f131,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,[],[f130]) ).
fof(f160,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(X0,a_3_0_rmod_5(X1,X2,X3))
<=> ? [X4] :
( m2_rmod_4(X4,X1,X2,X3)
& X0 = k5_rmod_4(X1,X2,X4) ) )
| 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)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(ennf_transformation,[],[f63]) ).
fof(f161,plain,
! [X0,X1,X2,X3] :
( ( r2_hidden(X0,a_3_0_rmod_5(X1,X2,X3))
<=> ? [X4] :
( m2_rmod_4(X4,X1,X2,X3)
& X0 = k5_rmod_4(X1,X2,X4) ) )
| 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)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(flattening,[],[f160]) ).
fof(f179,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,[],[f82]) ).
fof(f180,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,[],[f179]) ).
fof(f184,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,[],[f85]) ).
fof(f185,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,[],[f184]) ).
fof(f187,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,[],[f87]) ).
fof(f188,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,[],[f187]) ).
fof(f189,plain,
! [X0,X1] :
( ! [X2] :
( ( r1_rlvect_1(k1_rmod_2(X1,X2),X0)
<=> X0 = k1_rlvect_1(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,[],[f88]) ).
fof(f190,plain,
! [X0,X1] :
( ! [X2] :
( ( r1_rlvect_1(k1_rmod_2(X1,X2),X0)
<=> X0 = k1_rlvect_1(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,[],[f189]) ).
fof(f197,plain,
( k1_rmod_5(sK0,sK1,k1_subset_1(u1_struct_0(sK1))) != k1_rmod_2(sK0,sK1)
& ~ v3_struct_0(sK1)
& v3_rlvect_1(sK1)
& v4_rlvect_1(sK1)
& v5_rlvect_1(sK1)
& v6_rlvect_1(sK1)
& v5_vectsp_2(sK1,sK0)
& l1_vectsp_2(sK1,sK0)
& ~ v3_struct_0(sK0)
& v3_rlvect_1(sK0)
& v4_rlvect_1(sK0)
& v5_rlvect_1(sK0)
& v6_rlvect_1(sK0)
& v4_group_1(sK0)
& v7_group_1(sK0)
& v6_vectsp_1(sK0)
& v7_vectsp_1(sK0)
& v8_vectsp_1(sK0)
& ~ v10_vectsp_1(sK0)
& v2_vectsp_2(sK0)
& l3_vectsp_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f101]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( ( r1_rlvect_1(X0,X1)
| ~ r2_hidden(X1,u1_struct_0(X0)) )
& ( r2_hidden(X1,u1_struct_0(X0))
| ~ r1_rlvect_1(X0,X1) ) )
| ~ l1_struct_0(X0) ),
inference(nnf_transformation,[],[f109]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k1_rmod_5(X0,X1,X2)
| u1_struct_0(X3) != a_3_0_rmod_5(X0,X1,X2) )
& ( u1_struct_0(X3) = a_3_0_rmod_5(X0,X1,X2)
| k1_rmod_5(X0,X1,X2) != X3 ) )
| ~ v3_vectsp_2(X3,X0)
| ~ m1_rmod_2(X3,X0,X1) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0) ),
inference(nnf_transformation,[],[f111]) ).
fof(f219,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(X0,a_3_0_rmod_5(X1,X2,X3))
| ! [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) )
| ~ r2_hidden(X0,a_3_0_rmod_5(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)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(nnf_transformation,[],[f161]) ).
fof(f220,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(X0,a_3_0_rmod_5(X1,X2,X3))
| ! [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 )
| ~ r2_hidden(X0,a_3_0_rmod_5(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)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(rectify,[],[f219]) ).
fof(f221,plain,
! [X0,X1,X2,X3] :
( ( ( r2_hidden(X0,a_3_0_rmod_5(X1,X2,X3))
| ! [X4] :
( ~ m2_rmod_4(X4,X1,X2,X3)
| k5_rmod_4(X1,X2,X4) != X0 ) )
& ( ( m2_rmod_4(sK19(X0,X1,X2,X3),X1,X2,X3)
& k5_rmod_4(X1,X2,sK19(X0,X1,X2,X3)) = X0 )
| ~ r2_hidden(X0,a_3_0_rmod_5(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)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X5,sK19(X0,X1,X2,X3))],[f220]) ).
fof(f238,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,[],[f185]) ).
fof(f239,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,[],[f238]) ).
fof(f240,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( X2 = X3
| ( ( ~ r1_rlvect_1(X3,sK33(X1,X2,X3))
| ~ r1_rlvect_1(X2,sK33(X1,X2,X3)) )
& ( r1_rlvect_1(X3,sK33(X1,X2,X3))
| r1_rlvect_1(X2,sK33(X1,X2,X3)) )
& m1_subset_1(sK33(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,[sK33]),skolemize(X4,sK33(X1,X2,X3))],[f239]) ).
fof(f241,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r1_rlvect_1(k1_rmod_2(X1,X2),X0)
| k1_rlvect_1(X2) != X0 )
& ( X0 = k1_rlvect_1(X2)
| ~ r1_rlvect_1(k1_rmod_2(X1,X2),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)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(nnf_transformation,[],[f190]) ).
fof(f242,plain,
l3_vectsp_1(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f243,plain,
v2_vectsp_2(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f244,plain,
~ v10_vectsp_1(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f245,plain,
v8_vectsp_1(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f246,plain,
v7_vectsp_1(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f247,plain,
v6_vectsp_1(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f248,plain,
v7_group_1(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f249,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f250,plain,
v6_rlvect_1(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f251,plain,
v5_rlvect_1(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f252,plain,
v4_rlvect_1(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f253,plain,
v3_rlvect_1(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f254,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f255,plain,
l1_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f256,plain,
v5_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f257,plain,
v6_rlvect_1(sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f258,plain,
v5_rlvect_1(sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f259,plain,
v4_rlvect_1(sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f260,plain,
v3_rlvect_1(sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f261,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f262,plain,
k1_rmod_5(sK0,sK1,k1_subset_1(u1_struct_0(sK1))) != k1_rmod_2(sK0,sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f271,plain,
! [X0,X1] :
( r2_hidden(X1,u1_struct_0(X0))
| ~ r1_rlvect_1(X0,X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( u1_struct_0(X3) = a_3_0_rmod_5(X0,X1,X2)
| k1_rmod_5(X0,X1,X2) != X3
| ~ v3_vectsp_2(X3,X0)
| ~ m1_rmod_2(X3,X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f279,plain,
! [X0,X1] :
( 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(cnf_transformation,[],[f117]) ).
fof(f280,plain,
! [X0,X1] :
( v3_vectsp_2(k1_rmod_2(X0,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)
| 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,[],[f117]) ).
fof(f281,plain,
! [X2,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f119]) ).
fof(f282,plain,
! [X2,X0,X1] :
( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f119]) ).
fof(f283,plain,
! [X0] : m1_subset_1(k1_subset_1(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f16]) ).
fof(f286,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f287,plain,
! [X0] :
( ~ l1_rlvect_1(X0)
| l2_struct_0(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f288,plain,
! [X0] :
( ~ l1_vectsp_1(X0)
| l1_group_1(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f289,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X1,X0)
| l1_rlvect_1(X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f290,plain,
! [X0] :
( ~ l2_struct_0(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f292,plain,
! [X0] :
( ~ l2_vectsp_1(X0)
| l1_vectsp_1(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f293,plain,
! [X0] :
( ~ l3_vectsp_1(X0)
| l2_vectsp_1(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f296,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X2,X0,X1)
| l1_vectsp_2(X2,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f341,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,a_3_0_rmod_5(X1,X2,X3))
| k5_rmod_4(X1,X2,sK19(X0,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)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(cnf_transformation,[],[f221]) ).
fof(f342,plain,
! [X2,X3,X0,X1] :
( m2_rmod_4(sK19(X0,X1,X2,X3),X1,X2,X3)
| ~ r2_hidden(X0,a_3_0_rmod_5(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)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(cnf_transformation,[],[f221]) ).
fof(f395,plain,
! [X2,X0,X1] :
( ~ m1_rmod_2(X2,X0,X1)
| r1_rlvect_1(X2,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,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,[],[f180]) ).
fof(f400,plain,
! [X2,X3,X0,X1] :
( ~ m1_rmod_2(X3,X0,X1)
| r1_rlvect_1(X3,sK33(X1,X2,X3))
| r1_rlvect_1(X2,sK33(X1,X2,X3))
| ~ v3_vectsp_2(X3,X0)
| X2 = X3
| ~ 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(cnf_transformation,[],[f240]) ).
fof(f401,plain,
! [X2,X3,X0,X1] :
( ~ r1_rlvect_1(X3,sK33(X1,X2,X3))
| X2 = X3
| ~ r1_rlvect_1(X2,sK33(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)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f403,plain,
! [X2,X0,X1] :
( ~ m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1)))
| k5_rmod_4(X0,X1,X2) = 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,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,[],[f188]) ).
fof(f404,plain,
! [X2,X0,X1] :
( ~ r1_rlvect_1(k1_rmod_2(X1,X2),X0)
| k1_rlvect_1(X2) = 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)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1) ),
inference(cnf_transformation,[],[f241]) ).
fof(f411,plain,
! [X2,X0,X1] :
( a_3_0_rmod_5(X0,X1,X2) = u1_struct_0(k1_rmod_5(X0,X1,X2))
| ~ v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
| ~ m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0) ),
inference(equality_resolution,[],[f273]) ).
fof(f415,definition,
sF34 = u1_struct_0(sK1),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f416,plain,
u1_struct_0(sK1) = sF34,
inference(reorient_equations,[],[f415]) ).
fof(f417,definition,
sF35 = k1_subset_1(sF34),
introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).
fof(f418,plain,
k1_subset_1(sF34) = sF35,
inference(reorient_equations,[],[f417]) ).
fof(f419,definition,
sF36 = k1_rmod_5(sK0,sK1,sF35),
introduced(definition,[new_symbols(definition,[sF36])],[function_definition]) ).
fof(f420,plain,
k1_rmod_5(sK0,sK1,sF35) = sF36,
inference(reorient_equations,[],[f419]) ).
fof(f421,definition,
sF37 = k1_rmod_2(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF37])],[function_definition]) ).
fof(f422,plain,
k1_rmod_2(sK0,sK1) = sF37,
inference(reorient_equations,[],[f421]) ).
fof(f423,plain,
sF36 != sF37,
inference(definition_folding,[],[f262,f422,f420,f418,f416]) ).
fof(f424,plain,
! [X2,X0,X1] :
( a_3_0_rmod_5(X0,X1,X2) = u1_struct_0(k1_rmod_5(X0,X1,X2))
| ~ m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0) ),
inference(forward_subsumption_resolution,[],[f411,f282]) ).
fof(f425,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| a_3_0_rmod_5(X0,X1,X2) = u1_struct_0(k1_rmod_5(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)
| ~ 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(forward_subsumption_resolution,[],[f424,f281]) ).
fof(f427,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF34))
| a_3_0_rmod_5(X1,sK1,X0) = u1_struct_0(k1_rmod_5(X1,sK1,X0))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X1)
| ~ l1_vectsp_2(sK1,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(superposition,[],[f425,f416]) ).
fof(f428,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF34))
| a_3_0_rmod_5(X1,sK1,X0) = u1_struct_0(k1_rmod_5(X1,sK1,X0))
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X1)
| ~ l1_vectsp_2(sK1,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(forward_subsumption_resolution,[],[f427,f261]) ).
fof(f429,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF34))
| a_3_0_rmod_5(X1,sK1,X0) = u1_struct_0(k1_rmod_5(X1,sK1,X0))
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X1)
| ~ l1_vectsp_2(sK1,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(forward_subsumption_resolution,[],[f428,f260]) ).
fof(f430,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF34))
| a_3_0_rmod_5(X1,sK1,X0) = u1_struct_0(k1_rmod_5(X1,sK1,X0))
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X1)
| ~ l1_vectsp_2(sK1,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(forward_subsumption_resolution,[],[f429,f259]) ).
fof(f431,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF34))
| a_3_0_rmod_5(X1,sK1,X0) = u1_struct_0(k1_rmod_5(X1,sK1,X0))
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X1)
| ~ l1_vectsp_2(sK1,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(forward_subsumption_resolution,[],[f430,f258]) ).
fof(f432,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF34))
| a_3_0_rmod_5(X1,sK1,X0) = u1_struct_0(k1_rmod_5(X1,sK1,X0))
| ~ v5_vectsp_2(sK1,X1)
| ~ l1_vectsp_2(sK1,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(forward_subsumption_resolution,[],[f431,f257]) ).
fof(f433,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(superposition,[],[f404,f422]) ).
fof(f434,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f433,f261]) ).
fof(f435,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f434,f260]) ).
fof(f436,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f435,f259]) ).
fof(f437,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f436,f258]) ).
fof(f438,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f437,f257]) ).
fof(f439,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f438,f256]) ).
fof(f440,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f439,f255]) ).
fof(f441,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f440,f254]) ).
fof(f442,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f441,f253]) ).
fof(f443,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f442,f252]) ).
fof(f444,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f443,f251]) ).
fof(f445,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f444,f250]) ).
fof(f446,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f445,f249]) ).
fof(f447,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f446,f247]) ).
fof(f448,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f447,f246]) ).
fof(f449,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f448,f245]) ).
fof(f450,plain,
! [X0] :
( ~ r1_rlvect_1(sF37,X0)
| k1_rlvect_1(sK1) = X0 ),
inference(forward_subsumption_resolution,[],[f449,f242]) ).
fof(f472,plain,
( v3_vectsp_2(sF36,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(superposition,[],[f282,f420]) ).
fof(f473,plain,
( v3_vectsp_2(sF36,sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f472,f254]) ).
fof(f474,plain,
( v3_vectsp_2(sF36,sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f473,f253]) ).
fof(f475,plain,
( v3_vectsp_2(sF36,sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f474,f252]) ).
fof(f476,plain,
( v3_vectsp_2(sF36,sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f475,f251]) ).
fof(f477,plain,
( v3_vectsp_2(sF36,sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f476,f250]) ).
fof(f478,plain,
( v3_vectsp_2(sF36,sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f477,f249]) ).
fof(f479,plain,
( v3_vectsp_2(sF36,sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f478,f248]) ).
fof(f480,plain,
( v3_vectsp_2(sF36,sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f479,f247]) ).
fof(f481,plain,
( v3_vectsp_2(sF36,sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f480,f246]) ).
fof(f482,plain,
( v3_vectsp_2(sF36,sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f481,f245]) ).
fof(f483,plain,
( v3_vectsp_2(sF36,sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f482,f244]) ).
fof(f484,plain,
( v3_vectsp_2(sF36,sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f483,f243]) ).
fof(f485,plain,
( v3_vectsp_2(sF36,sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f484,f242]) ).
fof(f486,plain,
( v3_vectsp_2(sF36,sK0)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f485,f261]) ).
fof(f487,plain,
( v3_vectsp_2(sF36,sK0)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f486,f260]) ).
fof(f488,plain,
( v3_vectsp_2(sF36,sK0)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f487,f259]) ).
fof(f489,plain,
( v3_vectsp_2(sF36,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f488,f258]) ).
fof(f490,plain,
( v3_vectsp_2(sF36,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f489,f257]) ).
fof(f491,plain,
( v3_vectsp_2(sF36,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f490,f256]) ).
fof(f492,plain,
( v3_vectsp_2(sF36,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f491,f255]) ).
fof(f493,plain,
( ~ m1_subset_1(sF35,k1_zfmisc_1(sF34))
| v3_vectsp_2(sF36,sK0) ),
inference(forward_demodulation,[],[f492,f416]) ).
fof(f495,definition,
( spl38_1
<=> v3_vectsp_2(sF36,sK0) ),
introduced(definition,[new_symbols(definition,[spl38_1])],[avatar_definition]) ).
fof(f497,plain,
( v3_vectsp_2(sF36,sK0)
| ~ spl38_1 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f499,definition,
( spl38_2
<=> m1_subset_1(sF35,k1_zfmisc_1(sF34)) ),
introduced(definition,[new_symbols(definition,[spl38_2])],[avatar_definition]) ).
fof(f500,plain,
( m1_subset_1(sF35,k1_zfmisc_1(sF34))
| ~ spl38_2 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f501,plain,
( ~ m1_subset_1(sF35,k1_zfmisc_1(sF34))
| spl38_2 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f502,plain,
( spl38_1
| ~ spl38_2 ),
inference(avatar_split_clause,[],[f493,f499,f495]) ).
fof(f503,plain,
( m1_rmod_2(sF36,sK0,sK1)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(superposition,[],[f281,f420]) ).
fof(f504,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f503,f254]) ).
fof(f505,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f504,f253]) ).
fof(f506,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f505,f252]) ).
fof(f507,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f506,f251]) ).
fof(f508,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f507,f250]) ).
fof(f509,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f508,f249]) ).
fof(f510,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f509,f248]) ).
fof(f511,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f510,f247]) ).
fof(f512,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f511,f246]) ).
fof(f513,plain,
( m1_rmod_2(sF36,sK0,sK1)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f512,f245]) ).
fof(f514,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f513,f244]) ).
fof(f515,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f514,f243]) ).
fof(f516,plain,
( m1_rmod_2(sF36,sK0,sK1)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f515,f242]) ).
fof(f517,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f516,f261]) ).
fof(f518,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f517,f260]) ).
fof(f519,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f518,f259]) ).
fof(f520,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f519,f258]) ).
fof(f521,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f520,f257]) ).
fof(f522,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f521,f256]) ).
fof(f523,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f522,f255]) ).
fof(f524,plain,
( ~ m1_subset_1(sF35,k1_zfmisc_1(sF34))
| m1_rmod_2(sF36,sK0,sK1) ),
inference(forward_demodulation,[],[f523,f416]) ).
fof(f525,plain,
( m1_rmod_2(sF37,sK0,sK1)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(superposition,[],[f279,f422]) ).
fof(f526,plain,
( m1_rmod_2(sF37,sK0,sK1)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f525,f254]) ).
fof(f527,plain,
( m1_rmod_2(sF37,sK0,sK1)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f526,f253]) ).
fof(f528,plain,
( m1_rmod_2(sF37,sK0,sK1)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f527,f252]) ).
fof(f529,plain,
( m1_rmod_2(sF37,sK0,sK1)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f528,f251]) ).
fof(f530,plain,
( m1_rmod_2(sF37,sK0,sK1)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f529,f250]) ).
fof(f531,plain,
( m1_rmod_2(sF37,sK0,sK1)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f530,f249]) ).
fof(f532,plain,
( m1_rmod_2(sF37,sK0,sK1)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f531,f247]) ).
fof(f533,plain,
( m1_rmod_2(sF37,sK0,sK1)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f532,f246]) ).
fof(f534,plain,
( m1_rmod_2(sF37,sK0,sK1)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f533,f245]) ).
fof(f535,plain,
( m1_rmod_2(sF37,sK0,sK1)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f534,f242]) ).
fof(f536,plain,
( m1_rmod_2(sF37,sK0,sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f535,f261]) ).
fof(f537,plain,
( m1_rmod_2(sF37,sK0,sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f536,f260]) ).
fof(f538,plain,
( m1_rmod_2(sF37,sK0,sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f537,f259]) ).
fof(f539,plain,
( m1_rmod_2(sF37,sK0,sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f538,f258]) ).
fof(f540,plain,
( m1_rmod_2(sF37,sK0,sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f539,f257]) ).
fof(f541,plain,
( m1_rmod_2(sF37,sK0,sK1)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f540,f256]) ).
fof(f542,plain,
m1_rmod_2(sF37,sK0,sK1),
inference(forward_subsumption_resolution,[],[f541,f255]) ).
fof(f543,plain,
( v3_vectsp_2(sF37,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(superposition,[],[f280,f422]) ).
fof(f544,plain,
( v3_vectsp_2(sF37,sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f543,f254]) ).
fof(f545,plain,
( v3_vectsp_2(sF37,sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f544,f253]) ).
fof(f546,plain,
( v3_vectsp_2(sF37,sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f545,f252]) ).
fof(f547,plain,
( v3_vectsp_2(sF37,sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f546,f251]) ).
fof(f548,plain,
( v3_vectsp_2(sF37,sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f547,f250]) ).
fof(f549,plain,
( v3_vectsp_2(sF37,sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f548,f249]) ).
fof(f550,plain,
( v3_vectsp_2(sF37,sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f549,f247]) ).
fof(f551,plain,
( v3_vectsp_2(sF37,sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f550,f246]) ).
fof(f552,plain,
( v3_vectsp_2(sF37,sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f551,f245]) ).
fof(f553,plain,
( v3_vectsp_2(sF37,sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f552,f242]) ).
fof(f554,plain,
( v3_vectsp_2(sF37,sK0)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f553,f261]) ).
fof(f555,plain,
( v3_vectsp_2(sF37,sK0)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f554,f260]) ).
fof(f556,plain,
( v3_vectsp_2(sF37,sK0)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f555,f259]) ).
fof(f557,plain,
( v3_vectsp_2(sF37,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f556,f258]) ).
fof(f558,plain,
( v3_vectsp_2(sF37,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f557,f257]) ).
fof(f559,plain,
( v3_vectsp_2(sF37,sK0)
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f558,f256]) ).
fof(f560,plain,
v3_vectsp_2(sF37,sK0),
inference(forward_subsumption_resolution,[],[f559,f255]) ).
fof(f561,plain,
l2_vectsp_1(sK0),
inference(resolution,[],[f293,f242]) ).
fof(f563,plain,
! [X0,X1] :
( ~ m2_rmod_4(X0,X1,sK1,k1_subset_1(sF34))
| k1_rlvect_1(sK1) = k5_rmod_4(X1,sK1,X0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X1)
| ~ l1_vectsp_2(sK1,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(superposition,[],[f403,f416]) ).
fof(f565,plain,
! [X0,X1] :
( ~ m2_rmod_4(X0,X1,sK1,k1_subset_1(sF34))
| k1_rlvect_1(sK1) = k5_rmod_4(X1,sK1,X0)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X1)
| ~ l1_vectsp_2(sK1,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(forward_subsumption_resolution,[],[f563,f261]) ).
fof(f567,plain,
! [X0,X1] :
( ~ m2_rmod_4(X0,X1,sK1,k1_subset_1(sF34))
| k1_rlvect_1(sK1) = k5_rmod_4(X1,sK1,X0)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X1)
| ~ l1_vectsp_2(sK1,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(forward_subsumption_resolution,[],[f565,f260]) ).
fof(f568,plain,
! [X0,X1] :
( ~ m2_rmod_4(X0,X1,sK1,k1_subset_1(sF34))
| k1_rlvect_1(sK1) = k5_rmod_4(X1,sK1,X0)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X1)
| ~ l1_vectsp_2(sK1,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(forward_subsumption_resolution,[],[f567,f259]) ).
fof(f569,plain,
! [X0,X1] :
( ~ m2_rmod_4(X0,X1,sK1,k1_subset_1(sF34))
| k1_rlvect_1(sK1) = k5_rmod_4(X1,sK1,X0)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X1)
| ~ l1_vectsp_2(sK1,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(forward_subsumption_resolution,[],[f568,f258]) ).
fof(f570,plain,
! [X0,X1] :
( ~ m2_rmod_4(X0,X1,sK1,k1_subset_1(sF34))
| k1_rlvect_1(sK1) = k5_rmod_4(X1,sK1,X0)
| ~ v5_vectsp_2(sK1,X1)
| ~ l1_vectsp_2(sK1,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(forward_subsumption_resolution,[],[f569,f257]) ).
fof(f571,plain,
! [X0,X1] :
( ~ m2_rmod_4(X0,X1,sK1,sF35)
| k1_rlvect_1(sK1) = k5_rmod_4(X1,sK1,X0)
| ~ v5_vectsp_2(sK1,X1)
| ~ l1_vectsp_2(sK1,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(forward_demodulation,[],[f570,f418]) ).
fof(f633,plain,
! [X0] :
( a_3_0_rmod_5(X0,sK1,k1_subset_1(sF34)) = u1_struct_0(k1_rmod_5(X0,sK1,k1_subset_1(sF34)))
| ~ v5_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,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(resolution,[],[f283,f432]) ).
fof(f634,plain,
m1_subset_1(sF35,k1_zfmisc_1(sF34)),
inference(superposition,[],[f283,f418]) ).
fof(f635,plain,
( $false
| spl38_2 ),
inference(forward_subsumption_resolution,[],[f634,f501]) ).
fof(f636,plain,
spl38_2,
inference(avatar_contradiction_clause,[],[f635]) ).
fof(f637,plain,
! [X0] :
( ~ l1_vectsp_2(sK1,X0)
| ~ v5_vectsp_2(sK1,X0)
| a_3_0_rmod_5(X0,sK1,sF35) = u1_struct_0(k1_rmod_5(X0,sK1,sF35))
| 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(forward_demodulation,[],[f633,f418]) ).
fof(f638,plain,
( m1_rmod_2(sF36,sK0,sK1)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f524,f500]) ).
fof(f640,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| ~ v3_vectsp_2(sF36,sK0)
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_2 ),
inference(resolution,[],[f638,f400]) ).
fof(f643,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f640,f497]) ).
fof(f645,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f643,f261]) ).
fof(f647,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f645,f260]) ).
fof(f649,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f647,f259]) ).
fof(f651,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f649,f258]) ).
fof(f653,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f651,f257]) ).
fof(f655,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f653,f256]) ).
fof(f657,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f655,f255]) ).
fof(f659,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f657,f254]) ).
fof(f661,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f659,f253]) ).
fof(f663,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f661,f252]) ).
fof(f665,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f663,f251]) ).
fof(f667,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f665,f250]) ).
fof(f669,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f667,f249]) ).
fof(f671,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f669,f247]) ).
fof(f673,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f671,f246]) ).
fof(f675,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1)
| ~ l3_vectsp_1(sK0) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f673,f245]) ).
fof(f676,plain,
( ! [X0] :
( r1_rlvect_1(sF36,sK33(sK1,X0,sF36))
| r1_rlvect_1(X0,sK33(sK1,X0,sF36))
| sF36 = X0
| ~ v3_vectsp_2(X0,sK0)
| ~ m1_rmod_2(X0,sK0,sK1) )
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f675,f242]) ).
fof(f680,plain,
( r1_rlvect_1(sF36,sK33(sK1,sF37,sF36))
| sF36 = sF37
| ~ v3_vectsp_2(sF37,sK0)
| ~ m1_rmod_2(sF37,sK0,sK1)
| k1_rlvect_1(sK1) = sK33(sK1,sF37,sF36)
| ~ spl38_1
| ~ spl38_2 ),
inference(resolution,[],[f676,f450]) ).
fof(f683,plain,
( r1_rlvect_1(sF36,sK33(sK1,sF37,sF36))
| ~ v3_vectsp_2(sF37,sK0)
| ~ m1_rmod_2(sF37,sK0,sK1)
| k1_rlvect_1(sK1) = sK33(sK1,sF37,sF36)
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f680,f423]) ).
fof(f684,plain,
( r1_rlvect_1(sF36,sK33(sK1,sF37,sF36))
| ~ m1_rmod_2(sF37,sK0,sK1)
| k1_rlvect_1(sK1) = sK33(sK1,sF37,sF36)
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f683,f560]) ).
fof(f685,plain,
( r1_rlvect_1(sF36,sK33(sK1,sF37,sF36))
| k1_rlvect_1(sK1) = sK33(sK1,sF37,sF36)
| ~ spl38_1
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f684,f542]) ).
fof(f687,definition,
( spl38_5
<=> k1_rlvect_1(sK1) = sK33(sK1,sF37,sF36) ),
introduced(definition,[new_symbols(definition,[spl38_5])],[avatar_definition]) ).
fof(f688,plain,
( k1_rlvect_1(sK1) != sK33(sK1,sF37,sF36)
| spl38_5 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f689,plain,
( k1_rlvect_1(sK1) = sK33(sK1,sF37,sF36)
| ~ spl38_5 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f691,definition,
( spl38_6
<=> r1_rlvect_1(sF36,sK33(sK1,sF37,sF36)) ),
introduced(definition,[new_symbols(definition,[spl38_6])],[avatar_definition]) ).
fof(f693,plain,
( r1_rlvect_1(sF36,sK33(sK1,sF37,sF36))
| ~ spl38_6 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f694,plain,
( spl38_5
| spl38_6
| ~ spl38_1
| ~ spl38_2 ),
inference(avatar_split_clause,[],[f685,f499,f495,f691,f687]) ).
fof(f697,plain,
( ! [X0] :
( ~ r1_rlvect_1(sF36,k1_rlvect_1(sK1))
| sF36 = sF37
| ~ r1_rlvect_1(sF37,k1_rlvect_1(sK1))
| ~ v3_vectsp_2(sF36,X0)
| ~ m1_rmod_2(sF36,X0,sK1)
| ~ v3_vectsp_2(sF37,X0)
| ~ m1_rmod_2(sF37,X0,sK1)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,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) )
| ~ spl38_5 ),
inference(superposition,[],[f401,f689]) ).
fof(f698,plain,
( ! [X0] :
( sF36 = sF37
| ~ r1_rlvect_1(sF37,k1_rlvect_1(sK1))
| ~ v3_vectsp_2(sF36,X0)
| ~ m1_rmod_2(sF36,X0,sK1)
| ~ v3_vectsp_2(sF37,X0)
| ~ m1_rmod_2(sF37,X0,sK1)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,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) )
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f697,f395]) ).
fof(f699,plain,
( ! [X0] :
( ~ r1_rlvect_1(sF37,k1_rlvect_1(sK1))
| ~ v3_vectsp_2(sF36,X0)
| ~ m1_rmod_2(sF36,X0,sK1)
| ~ v3_vectsp_2(sF37,X0)
| ~ m1_rmod_2(sF37,X0,sK1)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,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) )
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f698,f423]) ).
fof(f700,plain,
( ! [X0] :
( ~ v3_vectsp_2(sF36,X0)
| ~ m1_rmod_2(sF36,X0,sK1)
| ~ v3_vectsp_2(sF37,X0)
| ~ m1_rmod_2(sF37,X0,sK1)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,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) )
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f699,f395]) ).
fof(f701,plain,
( ! [X0] :
( ~ v3_vectsp_2(sF36,X0)
| ~ m1_rmod_2(sF36,X0,sK1)
| ~ v3_vectsp_2(sF37,X0)
| ~ m1_rmod_2(sF37,X0,sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,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) )
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f700,f261]) ).
fof(f702,plain,
( ! [X0] :
( ~ v3_vectsp_2(sF36,X0)
| ~ m1_rmod_2(sF36,X0,sK1)
| ~ v3_vectsp_2(sF37,X0)
| ~ m1_rmod_2(sF37,X0,sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,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) )
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f701,f260]) ).
fof(f703,plain,
( ! [X0] :
( ~ v3_vectsp_2(sF36,X0)
| ~ m1_rmod_2(sF36,X0,sK1)
| ~ v3_vectsp_2(sF37,X0)
| ~ m1_rmod_2(sF37,X0,sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,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) )
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f702,f259]) ).
fof(f704,plain,
( ! [X0] :
( ~ v3_vectsp_2(sF36,X0)
| ~ m1_rmod_2(sF36,X0,sK1)
| ~ v3_vectsp_2(sF37,X0)
| ~ m1_rmod_2(sF37,X0,sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,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) )
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f703,f258]) ).
fof(f705,plain,
( ! [X0] :
( ~ m1_rmod_2(sF37,X0,sK1)
| ~ m1_rmod_2(sF36,X0,sK1)
| ~ v3_vectsp_2(sF37,X0)
| ~ v3_vectsp_2(sF36,X0)
| ~ v5_vectsp_2(sK1,X0)
| ~ l1_vectsp_2(sK1,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) )
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f704,f257]) ).
fof(f706,plain,
( ~ v5_vectsp_2(sK1,sK0)
| a_3_0_rmod_5(sK0,sK1,sF35) = u1_struct_0(k1_rmod_5(sK0,sK1,sF35))
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(resolution,[],[f637,f255]) ).
fof(f707,plain,
( a_3_0_rmod_5(sK0,sK1,sF35) = u1_struct_0(k1_rmod_5(sK0,sK1,sF35))
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f706,f256]) ).
fof(f708,plain,
( a_3_0_rmod_5(sK0,sK1,sF35) = u1_struct_0(k1_rmod_5(sK0,sK1,sF35))
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f707,f254]) ).
fof(f709,plain,
( a_3_0_rmod_5(sK0,sK1,sF35) = u1_struct_0(k1_rmod_5(sK0,sK1,sF35))
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f708,f253]) ).
fof(f710,plain,
( a_3_0_rmod_5(sK0,sK1,sF35) = u1_struct_0(k1_rmod_5(sK0,sK1,sF35))
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f709,f252]) ).
fof(f711,plain,
( a_3_0_rmod_5(sK0,sK1,sF35) = u1_struct_0(k1_rmod_5(sK0,sK1,sF35))
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f710,f251]) ).
fof(f712,plain,
( a_3_0_rmod_5(sK0,sK1,sF35) = u1_struct_0(k1_rmod_5(sK0,sK1,sF35))
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f711,f250]) ).
fof(f713,plain,
( a_3_0_rmod_5(sK0,sK1,sF35) = u1_struct_0(k1_rmod_5(sK0,sK1,sF35))
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f712,f249]) ).
fof(f714,plain,
( a_3_0_rmod_5(sK0,sK1,sF35) = u1_struct_0(k1_rmod_5(sK0,sK1,sF35))
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f713,f248]) ).
fof(f715,plain,
( a_3_0_rmod_5(sK0,sK1,sF35) = u1_struct_0(k1_rmod_5(sK0,sK1,sF35))
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f714,f247]) ).
fof(f716,plain,
( a_3_0_rmod_5(sK0,sK1,sF35) = u1_struct_0(k1_rmod_5(sK0,sK1,sF35))
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f715,f246]) ).
fof(f717,plain,
( a_3_0_rmod_5(sK0,sK1,sF35) = u1_struct_0(k1_rmod_5(sK0,sK1,sF35))
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f716,f245]) ).
fof(f718,plain,
( a_3_0_rmod_5(sK0,sK1,sF35) = u1_struct_0(k1_rmod_5(sK0,sK1,sF35))
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f717,f244]) ).
fof(f719,plain,
( a_3_0_rmod_5(sK0,sK1,sF35) = u1_struct_0(k1_rmod_5(sK0,sK1,sF35))
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f718,f243]) ).
fof(f720,plain,
a_3_0_rmod_5(sK0,sK1,sF35) = u1_struct_0(k1_rmod_5(sK0,sK1,sF35)),
inference(forward_subsumption_resolution,[],[f719,f242]) ).
fof(f721,plain,
a_3_0_rmod_5(sK0,sK1,sF35) = u1_struct_0(sF36),
inference(forward_demodulation,[],[f720,f420]) ).
fof(f772,plain,
l1_vectsp_1(sK0),
inference(resolution,[],[f292,f561]) ).
fof(f779,plain,
l1_group_1(sK0),
inference(resolution,[],[f288,f772]) ).
fof(f780,plain,
l1_struct_0(sK0),
inference(resolution,[],[f779,f286]) ).
fof(f794,plain,
( l1_vectsp_2(sF36,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(resolution,[],[f296,f638]) ).
fof(f798,plain,
( l1_vectsp_2(sF36,sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f794,f254]) ).
fof(f800,plain,
( l1_vectsp_2(sF36,sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f798,f253]) ).
fof(f802,plain,
( l1_vectsp_2(sF36,sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f800,f252]) ).
fof(f804,plain,
( l1_vectsp_2(sF36,sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f802,f251]) ).
fof(f806,plain,
( l1_vectsp_2(sF36,sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f804,f250]) ).
fof(f808,plain,
( l1_vectsp_2(sF36,sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f806,f249]) ).
fof(f810,plain,
( l1_vectsp_2(sF36,sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f808,f247]) ).
fof(f812,plain,
( l1_vectsp_2(sF36,sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f810,f246]) ).
fof(f814,plain,
( l1_vectsp_2(sF36,sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f812,f245]) ).
fof(f816,plain,
( l1_vectsp_2(sF36,sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f814,f242]) ).
fof(f818,plain,
( l1_vectsp_2(sF36,sK0)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f816,f261]) ).
fof(f820,plain,
( l1_vectsp_2(sF36,sK0)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f818,f260]) ).
fof(f822,plain,
( l1_vectsp_2(sF36,sK0)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f820,f259]) ).
fof(f824,plain,
( l1_vectsp_2(sF36,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f822,f258]) ).
fof(f826,plain,
( l1_vectsp_2(sF36,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f824,f257]) ).
fof(f828,plain,
( l1_vectsp_2(sF36,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f826,f256]) ).
fof(f830,plain,
( l1_vectsp_2(sF36,sK0)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f828,f255]) ).
fof(f1102,plain,
( ~ m1_rmod_2(sF36,sK0,sK1)
| ~ v3_vectsp_2(sF37,sK0)
| ~ v3_vectsp_2(sF36,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_5 ),
inference(resolution,[],[f705,f542]) ).
fof(f1103,plain,
( ~ v3_vectsp_2(sF37,sK0)
| ~ v3_vectsp_2(sF36,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_2
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f1102,f638]) ).
fof(f1104,plain,
( ~ v3_vectsp_2(sF36,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_2
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f1103,f560]) ).
fof(f1105,plain,
( ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_1
| ~ spl38_2
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f1104,f497]) ).
fof(f1106,plain,
( ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_1
| ~ spl38_2
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f1105,f256]) ).
fof(f1107,plain,
( v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_1
| ~ spl38_2
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f1106,f255]) ).
fof(f1108,plain,
( ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_1
| ~ spl38_2
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f1107,f254]) ).
fof(f1109,plain,
( ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_1
| ~ spl38_2
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f1108,f253]) ).
fof(f1110,plain,
( ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_1
| ~ spl38_2
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f1109,f252]) ).
fof(f1111,plain,
( ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_1
| ~ spl38_2
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f1110,f251]) ).
fof(f1112,plain,
( ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_1
| ~ spl38_2
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f1111,f250]) ).
fof(f1113,plain,
( ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_1
| ~ spl38_2
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f1112,f249]) ).
fof(f1114,plain,
( ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_1
| ~ spl38_2
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f1113,f247]) ).
fof(f1115,plain,
( ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_1
| ~ spl38_2
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f1114,f246]) ).
fof(f1116,plain,
( ~ l3_vectsp_1(sK0)
| ~ spl38_1
| ~ spl38_2
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f1115,f245]) ).
fof(f1117,plain,
( $false
| ~ spl38_1
| ~ spl38_2
| ~ spl38_5 ),
inference(forward_subsumption_resolution,[],[f1116,f242]) ).
fof(f1118,plain,
( ~ spl38_1
| ~ spl38_2
| ~ spl38_5 ),
inference(avatar_contradiction_clause,[],[f1117]) ).
fof(f1165,plain,
( l1_rlvect_1(sF36)
| ~ l1_struct_0(sK0)
| ~ spl38_2 ),
inference(resolution,[],[f289,f830]) ).
fof(f1168,plain,
( l1_rlvect_1(sF36)
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f1165,f780]) ).
fof(f1425,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(superposition,[],[f341,f721]) ).
fof(f1426,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1425,f254]) ).
fof(f1427,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1426,f253]) ).
fof(f1428,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1427,f252]) ).
fof(f1429,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1428,f251]) ).
fof(f1430,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1429,f250]) ).
fof(f1431,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1430,f249]) ).
fof(f1432,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1431,f248]) ).
fof(f1433,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1432,f247]) ).
fof(f1434,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1433,f246]) ).
fof(f1435,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1434,f245]) ).
fof(f1436,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1435,f244]) ).
fof(f1437,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1436,f243]) ).
fof(f1438,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1437,f242]) ).
fof(f1439,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1438,f261]) ).
fof(f1440,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1439,f260]) ).
fof(f1441,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1440,f259]) ).
fof(f1442,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1441,f258]) ).
fof(f1443,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1442,f257]) ).
fof(f1444,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1443,f256]) ).
fof(f1445,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f1444,f255]) ).
fof(f1446,plain,
! [X0] :
( ~ m1_subset_1(sF35,k1_zfmisc_1(sF34))
| ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0 ),
inference(forward_demodulation,[],[f1445,f416]) ).
fof(f1447,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sF36))
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0 )
| ~ spl38_2 ),
inference(forward_subsumption_resolution,[],[f1446,f500]) ).
fof(f1448,plain,
( ! [X0] :
( k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ r1_rlvect_1(sF36,X0)
| ~ l1_struct_0(sF36) )
| ~ spl38_2 ),
inference(resolution,[],[f1447,f271]) ).
fof(f1452,definition,
( spl38_25
<=> l1_struct_0(sF36) ),
introduced(definition,[new_symbols(definition,[spl38_25])],[avatar_definition]) ).
fof(f1453,plain,
( l1_struct_0(sF36)
| ~ spl38_25 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f1454,plain,
( ~ l1_struct_0(sF36)
| spl38_25 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f1456,definition,
( spl38_26
<=> ! [X0] :
( k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0
| ~ r1_rlvect_1(sF36,X0) ) ),
introduced(definition,[new_symbols(definition,[spl38_26])],[avatar_definition]) ).
fof(f1457,plain,
( ! [X0] :
( ~ r1_rlvect_1(sF36,X0)
| k5_rmod_4(sK0,sK1,sK19(X0,sK0,sK1,sF35)) = X0 )
| ~ spl38_26 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f1458,plain,
( ~ spl38_25
| spl38_26
| ~ spl38_2 ),
inference(avatar_split_clause,[],[f1448,f499,f1456,f1452]) ).
fof(f2976,plain,
( l2_struct_0(sF36)
| ~ spl38_2 ),
inference(resolution,[],[f287,f1168]) ).
fof(f2994,plain,
( l1_struct_0(sF36)
| ~ spl38_2 ),
inference(resolution,[],[f2976,f290]) ).
fof(f2995,plain,
( $false
| ~ spl38_2
| spl38_25 ),
inference(forward_subsumption_resolution,[],[f2994,f1454]) ).
fof(f2996,plain,
( ~ spl38_2
| spl38_25 ),
inference(avatar_contradiction_clause,[],[f2995]) ).
fof(f3004,plain,
( sK33(sK1,sF37,sF36) = k5_rmod_4(sK0,sK1,sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35))
| ~ spl38_6
| ~ spl38_26 ),
inference(resolution,[],[f1457,f693]) ).
fof(f3142,definition,
( spl38_111
<=> m2_rmod_4(sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35),sK0,sK1,sF35) ),
introduced(definition,[new_symbols(definition,[spl38_111])],[avatar_definition]) ).
fof(f3143,plain,
( m2_rmod_4(sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35),sK0,sK1,sF35)
| ~ spl38_111 ),
inference(avatar_component_clause,[],[f3142]) ).
fof(f3144,plain,
( ~ m2_rmod_4(sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35),sK0,sK1,sF35)
| spl38_111 ),
inference(avatar_component_clause,[],[f3142]) ).
fof(f3146,definition,
( spl38_112
<=> r2_hidden(sK33(sK1,sF37,sF36),u1_struct_0(sF36)) ),
introduced(definition,[new_symbols(definition,[spl38_112])],[avatar_definition]) ).
fof(f3147,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),u1_struct_0(sF36))
| spl38_112 ),
inference(avatar_component_clause,[],[f3146]) ).
fof(f3234,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(resolution,[],[f3144,f342]) ).
fof(f3235,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3234,f254]) ).
fof(f3236,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3235,f253]) ).
fof(f3237,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3236,f252]) ).
fof(f3238,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3237,f251]) ).
fof(f3239,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3238,f250]) ).
fof(f3240,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3239,f249]) ).
fof(f3241,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3240,f248]) ).
fof(f3242,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3241,f247]) ).
fof(f3243,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3242,f246]) ).
fof(f3244,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3243,f245]) ).
fof(f3245,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3244,f244]) ).
fof(f3246,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3245,f243]) ).
fof(f3247,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3246,f242]) ).
fof(f3248,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3247,f261]) ).
fof(f3249,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3248,f260]) ).
fof(f3250,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3249,f259]) ).
fof(f3251,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3250,f258]) ).
fof(f3252,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3251,f257]) ).
fof(f3253,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3252,f256]) ).
fof(f3254,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),a_3_0_rmod_5(sK0,sK1,sF35))
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3253,f255]) ).
fof(f3255,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),u1_struct_0(sF36))
| ~ m1_subset_1(sF35,k1_zfmisc_1(u1_struct_0(sK1)))
| spl38_111 ),
inference(forward_demodulation,[],[f3254,f721]) ).
fof(f3256,plain,
( ~ m1_subset_1(sF35,k1_zfmisc_1(sF34))
| ~ r2_hidden(sK33(sK1,sF37,sF36),u1_struct_0(sF36))
| spl38_111 ),
inference(forward_demodulation,[],[f3255,f416]) ).
fof(f3257,plain,
( ~ r2_hidden(sK33(sK1,sF37,sF36),u1_struct_0(sF36))
| ~ spl38_2
| spl38_111 ),
inference(forward_subsumption_resolution,[],[f3256,f500]) ).
fof(f3258,plain,
( ~ spl38_112
| ~ spl38_2
| spl38_111 ),
inference(avatar_split_clause,[],[f3257,f3142,f499,f3146]) ).
fof(f3259,plain,
( ~ r1_rlvect_1(sF36,sK33(sK1,sF37,sF36))
| ~ l1_struct_0(sF36)
| spl38_112 ),
inference(resolution,[],[f3147,f271]) ).
fof(f3260,plain,
( ~ l1_struct_0(sF36)
| ~ spl38_6
| spl38_112 ),
inference(forward_subsumption_resolution,[],[f3259,f693]) ).
fof(f3261,plain,
( $false
| ~ spl38_6
| ~ spl38_25
| spl38_112 ),
inference(forward_subsumption_resolution,[],[f3260,f1453]) ).
fof(f3262,plain,
( ~ spl38_6
| ~ spl38_25
| spl38_112 ),
inference(avatar_contradiction_clause,[],[f3261]) ).
fof(f3353,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35))
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_111 ),
inference(resolution,[],[f3143,f571]) ).
fof(f3356,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35))
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_111 ),
inference(forward_subsumption_resolution,[],[f3353,f256]) ).
fof(f3361,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35))
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_111 ),
inference(forward_subsumption_resolution,[],[f3356,f255]) ).
fof(f3363,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35))
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_111 ),
inference(forward_subsumption_resolution,[],[f3361,f254]) ).
fof(f3365,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35))
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_111 ),
inference(forward_subsumption_resolution,[],[f3363,f253]) ).
fof(f3367,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35))
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_111 ),
inference(forward_subsumption_resolution,[],[f3365,f252]) ).
fof(f3369,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35))
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_111 ),
inference(forward_subsumption_resolution,[],[f3367,f251]) ).
fof(f3371,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35))
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_111 ),
inference(forward_subsumption_resolution,[],[f3369,f250]) ).
fof(f3373,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35))
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_111 ),
inference(forward_subsumption_resolution,[],[f3371,f249]) ).
fof(f3375,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35))
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_111 ),
inference(forward_subsumption_resolution,[],[f3373,f247]) ).
fof(f3377,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35))
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ spl38_111 ),
inference(forward_subsumption_resolution,[],[f3375,f246]) ).
fof(f3379,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35))
| ~ l3_vectsp_1(sK0)
| ~ spl38_111 ),
inference(forward_subsumption_resolution,[],[f3377,f245]) ).
fof(f3381,plain,
( k1_rlvect_1(sK1) = k5_rmod_4(sK0,sK1,sK19(sK33(sK1,sF37,sF36),sK0,sK1,sF35))
| ~ spl38_111 ),
inference(forward_subsumption_resolution,[],[f3379,f242]) ).
fof(f3383,plain,
( k1_rlvect_1(sK1) = sK33(sK1,sF37,sF36)
| ~ spl38_6
| ~ spl38_26
| ~ spl38_111 ),
inference(forward_demodulation,[],[f3381,f3004]) ).
fof(f3385,plain,
( $false
| spl38_5
| ~ spl38_6
| ~ spl38_26
| ~ spl38_111 ),
inference(forward_subsumption_resolution,[],[f3383,f688]) ).
fof(f3386,plain,
( spl38_5
| ~ spl38_6
| ~ spl38_26
| ~ spl38_111 ),
inference(avatar_contradiction_clause,[],[f3385]) ).
cnf(s1,plain,
( spl38_1
| ~ spl38_2 ),
inference(sat_conversion,[],[f502]) ).
cnf(s3,plain,
spl38_2,
inference(sat_conversion,[],[f636]) ).
cnf(s4,plain,
( ~ spl38_1
| ~ spl38_2
| spl38_5
| spl38_6 ),
inference(sat_conversion,[],[f694]) ).
cnf(s5,plain,
( ~ spl38_1
| ~ spl38_2
| ~ spl38_5 ),
inference(sat_conversion,[],[f1118]) ).
cnf(s18,plain,
( ~ spl38_2
| ~ spl38_25
| spl38_26 ),
inference(sat_conversion,[],[f1458]) ).
cnf(s65,plain,
( ~ spl38_2
| spl38_25 ),
inference(sat_conversion,[],[f2996]) ).
cnf(s76,plain,
( ~ spl38_2
| spl38_111
| ~ spl38_112 ),
inference(sat_conversion,[],[f3258]) ).
cnf(s77,plain,
( ~ spl38_6
| ~ spl38_25
| spl38_112 ),
inference(sat_conversion,[],[f3262]) ).
cnf(s80,plain,
( spl38_5
| ~ spl38_6
| ~ spl38_26
| ~ spl38_111 ),
inference(sat_conversion,[],[f3386]) ).
cnf(s90,plain,
spl38_25,
inference(rat,[],[s65,s3]) ).
cnf(s94,plain,
spl38_26,
inference(rat,[],[s18,s3,s90]) ).
cnf(s99,plain,
spl38_1,
inference(rat,[],[s1,s3]) ).
cnf(s101,plain,
~ spl38_5,
inference(rat,[],[s5,s3,s99]) ).
cnf(s102,plain,
spl38_6,
inference(rat,[],[s4,s99,s3,s101]) ).
cnf(s103,plain,
~ spl38_111,
inference(rat,[],[s80,s101,s94,s102]) ).
cnf(s104,plain,
spl38_112,
inference(rat,[],[s77,s90,s102]) ).
cnf(s105,plain,
$false,
inference(rat,[],[s76,s3,s104,s103]) ).
fof(f3394,plain,
$false,
inference(avatar_sat_refutation,[],[s105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG217+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n020.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Mon Sep 28 19:46:19 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.31 Running first-order theorem proving
% 0.26/0.32 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.27/3.29 % (467098)Detected formulas, will run a generic FOF schedule.
% 15.27/3.29 % (467108)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3515139488:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.27/3.29 % (467107)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2559293859:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.27/3.29 % (467105)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=484791045:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.27/3.29 % (467104)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=87810454:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.27/3.29 % (467106)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3074073476:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.27/3.29 % (467103)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=2039020691:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.27/3.29 % (467106)Refutation not found, incomplete strategy
% 15.27/3.29 % (467106)------------------------------
% 15.27/3.29 % (467106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/3.29 % (467106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/3.29 % (467106)CaDiCaL version: 2.1.3
% 15.27/3.29 % (467106)Termination reason: Refutation not found, incomplete strategy
% 15.27/3.29 % (467106)Time elapsed: 0.004 s
% 15.27/3.29 % (467106)Peak memory usage: 88 MB
% 15.27/3.29 % (467106)Instructions burned: 2 (million)
% 15.27/3.29 % (467109)dis-21_1_sil=8000:lcm=predicate:random_seed=3906891465:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 15.27/3.29 % (467108)Instruction limit reached!
% 15.27/3.29 % (467108)------------------------------
% 15.27/3.29 % (467108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/3.29 % (467108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/3.29 % (467108)CaDiCaL version: 2.1.3
% 15.27/3.29 % (467108)Termination reason: Instruction limit
% 15.27/3.29 % (467108)Termination phase: Saturation
% 15.27/3.29 % (467108)Time elapsed: 0.074 s
% 15.27/3.29 % (467108)Peak memory usage: 90 MB
% 15.27/3.29 % (467108)Instructions burned: 140 (million)
% 15.27/3.29 % (467107)Instruction limit reached!
% 15.27/3.29 % (467107)------------------------------
% 15.27/3.29 % (467107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/3.29 % (467107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/3.29 % (467107)CaDiCaL version: 2.1.3
% 15.27/3.29 % (467107)Termination reason: Instruction limit
% 15.27/3.29 % (467107)Termination phase: Saturation
% 15.27/3.29 % (467107)Time elapsed: 0.107 s
% 15.27/3.29 % (467107)Peak memory usage: 88 MB
% 15.27/3.29 % (467107)Instructions burned: 119 (million)
% 15.27/3.29 % (467109)Instruction limit reached!
% 15.27/3.29 % (467109)------------------------------
% 15.27/3.29 % (467109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/3.29 % (467109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/3.29 % (467109)CaDiCaL version: 2.1.3
% 15.27/3.29 % (467109)Termination reason: Instruction limit
% 15.27/3.29 % (467109)Termination phase: Saturation
% 15.27/3.29 % (467109)Time elapsed: 0.128 s
% 15.27/3.29 % (467109)Peak memory usage: 91 MB
% 15.27/3.29 % (467109)Instructions burned: 129 (million)
% 15.27/3.29 % (467117)lrs+10_1_sil=8000:sp=occurrence:random_seed=1153089551:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 15.27/3.29 % (467118)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2013278068:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 15.27/3.29 % (467118)Refutation not found, incomplete strategy
% 15.27/3.29 % (467118)------------------------------
% 15.27/3.29 % (467118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/3.29 % (467118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/3.29 % (467118)CaDiCaL version: 2.1.3
% 15.27/3.29 % (467118)Termination reason: Refutation not found, incomplete strategy
% 15.27/3.29 % (467118)Time elapsed: 0.008 s
% 15.27/3.29 % (467118)Peak memory usage: 89 MB
% 15.27/3.29 % (467118)Instructions burned: 15 (million)
% 15.27/3.29 % (467106)------------------------------
% 15.27/3.29 % (467106)------------------------------
% 15.27/3.29 % (467119)lrs+1011_1_sil=32000:sp=occurrence:random_seed=117270543:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 15.27/3.29 % (467117)Instruction limit reached!
% 15.27/3.29 % (467117)------------------------------
% 15.27/3.29 % (467117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/3.29 % (467117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/3.29 % (467117)CaDiCaL version: 2.1.3
% 15.27/3.29 % (467117)Termination reason: Instruction limit
% 15.27/3.29 % (467117)Termination phase: Saturation
% 15.27/3.29 % (467117)Time elapsed: 0.248 s
% 15.27/3.29 % (467117)Peak memory usage: 92 MB
% 15.27/3.29 % (467117)Instructions burned: 285 (million)
% 15.27/3.29 % (467118)------------------------------
% 15.27/3.29 % (467118)------------------------------
% 15.27/3.29 % (467122)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=1529301843:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 15.27/3.29 % (467119)Instruction limit reached!
% 15.27/3.29 % (467119)------------------------------
% 15.27/3.29 % (467119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/3.29 % (467119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/3.29 % (467119)CaDiCaL version: 2.1.3
% 15.27/3.29 % (467119)Termination reason: Instruction limit
% 15.27/3.29 % (467119)Termination phase: Saturation
% 15.27/3.29 % (467119)Time elapsed: 0.286 s
% 15.27/3.29 % (467119)Peak memory usage: 91 MB
% 15.27/3.29 % (467119)Instructions burned: 325 (million)
% 15.27/3.29 % (467125)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3670472973:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 15.27/3.29 % (467124)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2715441301:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 15.27/3.29 % (467124)Refutation not found, incomplete strategy
% 15.27/3.29 % (467124)------------------------------
% 15.27/3.29 % (467124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/3.29 % (467124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/3.29 % (467124)CaDiCaL version: 2.1.3
% 15.27/3.29 % (467124)Termination reason: Refutation not found, incomplete strategy
% 15.27/3.29 % (467124)Time elapsed: 0.010 s
% 15.27/3.29 % (467124)Peak memory usage: 89 MB
% 15.27/3.29 % (467124)Instructions burned: 9 (million)
% 15.27/3.29 % (467122)Instruction limit reached!
% 15.27/3.29 % (467122)------------------------------
% 15.27/3.29 % (467122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/3.29 % (467122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/3.29 % (467122)CaDiCaL version: 2.1.3
% 15.27/3.29 % (467122)Termination reason: Instruction limit
% 15.27/3.29 % (467122)Termination phase: Saturation
% 15.27/3.29 % (467122)Time elapsed: 0.208 s
% 15.27/3.29 % (467122)Peak memory usage: 90 MB
% 15.27/3.29 % (467122)Instructions burned: 248 (million)
% 15.27/3.29 % (467127)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3438571381:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 15.27/3.29 % (467127)Instruction limit reached!
% 15.27/3.29 % (467127)------------------------------
% 15.27/3.29 % (467127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/3.29 % (467127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/3.29 % (467127)CaDiCaL version: 2.1.3
% 15.27/3.29 % (467127)Termination reason: Instruction limit
% 15.27/3.29 % (467127)Termination phase: Saturation
% 15.27/3.29 % (467127)Time elapsed: 0.105 s
% 15.27/3.29 % (467127)Peak memory usage: 91 MB
% 15.27/3.29 % (467127)Instructions burned: 114 (million)
% 15.27/3.29 % (467130)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3294406632:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 15.27/3.29 % (467124)------------------------------
% 15.27/3.29 % (467124)------------------------------
% 15.27/3.29 % (467130)Instruction limit reached!
% 15.27/3.29 % (467130)------------------------------
% 15.27/3.29 % (467130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/3.29 % (467130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/3.29 % (467130)CaDiCaL version: 2.1.3
% 15.27/3.29 % (467130)Termination reason: Instruction limit
% 15.27/3.29 % (467130)Termination phase: Saturation
% 15.27/3.29 % (467130)Time elapsed: 0.107 s
% 15.27/3.29 % (467130)Peak memory usage: 88 MB
% 15.27/3.29 % (467130)Instructions burned: 127 (million)
% 15.27/3.29 % (467132)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3007026101:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 15.27/3.29 % (467134)lrs+10_1_sil=8000:sp=occurrence:random_seed=4151664063:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 15.27/3.29 % (467135)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3881652261:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 15.27/3.29 % (467135)Refutation not found, incomplete strategy
% 15.27/3.29 % (467135)------------------------------
% 15.27/3.29 % (467135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/3.29 % (467135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/3.29 % (467135)CaDiCaL version: 2.1.3
% 15.27/3.29 % (467135)Termination reason: Refutation not found, incomplete strategy
% 15.27/3.29 % (467135)Time elapsed: 0.014 s
% 15.27/3.29 % (467135)Peak memory usage: 89 MB
% 15.27/3.29 % (467135)Instructions burned: 13 (million)
% 15.27/3.29 % (467132)Instruction limit reached!
% 15.27/3.29 % (467132)------------------------------
% 15.27/3.29 % (467132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.27/3.29 % (467132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/3.29 % (467132)CaDiCaL version: 2.1.3
% 15.27/3.29 % (467132)Termination reason: Instruction limit
% 15.27/3.29 % (467132)Termination phase: Saturation
% 15.27/3.29 % (467132)Time elapsed: 0.119 s
% 15.27/3.29 % (467132)Peak memory usage: 89 MB
% 15.27/3.29 % (467132)Instructions burned: 115 (million)
% 15.27/3.29 % (467103)First to succeed.
% 15.27/3.29 % (467103)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-467098"
% 15.27/3.29 % (467125)Also succeeded, but the first one will report.
% 15.27/3.29 % (467142)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1528157822:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 15.27/3.29 % (467135)------------------------------
% 15.27/3.29 % (467135)------------------------------
% 15.27/3.29 % (467103)Refutation found. Thanks to Tanya!
% 15.27/3.29 % SZS status Theorem for theBenchmark
% 15.27/3.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.29/3.51 % (467103)------------------------------
% 0.29/3.51 % (467103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.29/3.51 % (467103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/3.51 % (467103)CaDiCaL version: 2.1.3
% 0.29/3.51 % (467103)Termination reason: Refutation
% 0.29/3.51 % (467103)Time elapsed: 1.658 s
% 0.29/3.51 % (467103)Peak memory usage: 133 MB
% 0.29/3.51 % (467103)Instructions burned: 1539 (million)
% 0.29/3.51 % (467103)------------------------------
% 0.29/3.51 % (467103)------------------------------
% 0.29/3.51 % (467098)Success in time 2.389 s
% 0.29/3.51 % Vampire exiting
%------------------------------------------------------------------------------