%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG215+3 : 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 09:19:20 AM UTC 2026
% Result : Theorem 9.56s 2.55s
% Output : Refutation 11.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 9
% Syntax : Number of formulae : 156 ( 31 unt; 0 def)
% Number of atoms : 1654 ( 83 equ)
% Maximal formula atoms : 26 ( 10 avg)
% Number of connectives : 2712 (1214 ~;1303 |; 169 &)
% ( 6 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 12 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 166 ( 160 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f481,axiom,
! [X0] : k1_subset_1(X0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_subset_1) ).
fof(f563,axiom,
! [X0] :
( v1_xboole_0(k1_subset_1(X0))
& m1_subset_1(k1_subset_1(X0),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_subset_1) ).
fof(f3551,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_card_1) ).
fof(f9901,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_4(X2,X0,X1)
=> ( X2 = k3_rmod_4(X0,X1)
<=> k2_rmod_4(X0,X1,X2) = k1_xboole_0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_rmod_4) ).
fof(f9908,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> m2_rmod_4(k3_rmod_4(X0,X1),X0,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_rmod_4) ).
fof(f9909,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)))
=> X2 = k3_rmod_4(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_rmod_4) ).
fof(f9972,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0)
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( m2_rmod_4(X3,X0,X1,X2)
=> m1_rmod_4(X3,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_rmod_4) ).
fof(f9990,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_rmod_5(X2,X0,X1)
<=> ! [X3] :
( m2_rmod_4(X3,X0,X1,X2)
=> ( k5_rmod_4(X0,X1,X3) = k1_rlvect_1(X1)
=> k2_rmod_4(X0,X1,X3) = k1_xboole_0 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_rmod_5) ).
fof(f9994,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> v1_rmod_5(k1_subset_1(u1_struct_0(X1)),X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_rmod_5) ).
fof(f9995,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> v1_rmod_5(k1_subset_1(u1_struct_0(X1)),X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f9994]) ).
fof(f10040,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_rmod_5(X2,X0,X1)
<=> ! [X3] :
( k2_rmod_4(X0,X1,X3) = k1_xboole_0
| k1_rlvect_1(X1) != k5_rmod_4(X0,X1,X3)
| ~ m2_rmod_4(X3,X0,X1,X2) ) )
| ~ 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)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f9990]) ).
fof(f10041,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_rmod_5(X2,X0,X1)
<=> ! [X3] :
( k2_rmod_4(X0,X1,X3) = k1_xboole_0
| k1_rlvect_1(X1) != k5_rmod_4(X0,X1,X3)
| ~ m2_rmod_4(X3,X0,X1,X2) ) )
| ~ 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)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f10040]) ).
fof(f10046,plain,
? [X0] :
( ? [X1] :
( ~ v1_rmod_5(k1_subset_1(u1_struct_0(X1)),X0,X1)
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f9995]) ).
fof(f10047,plain,
? [X0] :
( ? [X1] :
( ~ v1_rmod_5(k1_subset_1(u1_struct_0(X1)),X0,X1)
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) ),
inference(flattening,[],[f10046]) ).
fof(f10153,plain,
! [X0,X1,X2] :
( ! [X3] :
( m1_rmod_4(X3,X0,X1)
| ~ m2_rmod_4(X3,X0,X1,X2) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(ennf_transformation,[],[f9972]) ).
fof(f10154,plain,
! [X0,X1,X2] :
( ! [X3] :
( m1_rmod_4(X3,X0,X1)
| ~ m2_rmod_4(X3,X0,X1,X2) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(flattening,[],[f10153]) ).
fof(f10708,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k3_rmod_4(X0,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,[],[f9909]) ).
fof(f10709,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k3_rmod_4(X0,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,[],[f10708]) ).
fof(f10710,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m2_rmod_4(k3_rmod_4(X0,X1),X0,X1,X2)
| ~ 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)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f9908]) ).
fof(f10711,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m2_rmod_4(k3_rmod_4(X0,X1),X0,X1,X2)
| ~ 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)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f10710]) ).
fof(f10714,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k3_rmod_4(X0,X1)
<=> k2_rmod_4(X0,X1,X2) = k1_xboole_0 )
| ~ m1_rmod_4(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,[],[f9901]) ).
fof(f10715,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k3_rmod_4(X0,X1)
<=> k2_rmod_4(X0,X1,X2) = k1_xboole_0 )
| ~ m1_rmod_4(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,[],[f10714]) ).
fof(f13359,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_rmod_5(X2,X0,X1)
| ? [X3] :
( k1_xboole_0 != k2_rmod_4(X0,X1,X3)
& k1_rlvect_1(X1) = k5_rmod_4(X0,X1,X3)
& m2_rmod_4(X3,X0,X1,X2) ) )
& ( ! [X3] :
( k2_rmod_4(X0,X1,X3) = k1_xboole_0
| k1_rlvect_1(X1) != k5_rmod_4(X0,X1,X3)
| ~ m2_rmod_4(X3,X0,X1,X2) )
| ~ v1_rmod_5(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)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(nnf_transformation,[],[f10041]) ).
fof(f13360,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_rmod_5(X2,X0,X1)
| ? [X3] :
( k1_xboole_0 != k2_rmod_4(X0,X1,X3)
& k1_rlvect_1(X1) = k5_rmod_4(X0,X1,X3)
& m2_rmod_4(X3,X0,X1,X2) ) )
& ( ! [X4] :
( k1_xboole_0 = k2_rmod_4(X0,X1,X4)
| k1_rlvect_1(X1) != k5_rmod_4(X0,X1,X4)
| ~ m2_rmod_4(X4,X0,X1,X2) )
| ~ v1_rmod_5(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)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(rectify,[],[f13359]) ).
fof(f13361,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_rmod_5(X2,X0,X1)
| ( k1_xboole_0 != k2_rmod_4(X0,X1,sK26(X0,X1,X2))
& k1_rlvect_1(X1) = k5_rmod_4(X0,X1,sK26(X0,X1,X2))
& m2_rmod_4(sK26(X0,X1,X2),X0,X1,X2) ) )
& ( ! [X4] :
( k1_xboole_0 = k2_rmod_4(X0,X1,X4)
| k1_rlvect_1(X1) != k5_rmod_4(X0,X1,X4)
| ~ m2_rmod_4(X4,X0,X1,X2) )
| ~ v1_rmod_5(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)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(X3,sK26(X0,X1,X2))],[f13360]) ).
fof(f13362,plain,
( ~ v1_rmod_5(k1_subset_1(u1_struct_0(sK28)),sK27,sK28)
& ~ v3_struct_0(sK28)
& v3_rlvect_1(sK28)
& v4_rlvect_1(sK28)
& v5_rlvect_1(sK28)
& v6_rlvect_1(sK28)
& v5_vectsp_2(sK28,sK27)
& l1_vectsp_2(sK28,sK27)
& ~ v3_struct_0(sK27)
& v3_rlvect_1(sK27)
& v4_rlvect_1(sK27)
& v5_rlvect_1(sK27)
& v6_rlvect_1(sK27)
& v4_group_1(sK27)
& v6_vectsp_1(sK27)
& v7_vectsp_1(sK27)
& v8_vectsp_1(sK27)
& l3_vectsp_1(sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27,sK28]),skolemize(X0,sK27),skolemize(X1,sK28)],[f10047]) ).
fof(f13560,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k3_rmod_4(X0,X1)
| k1_xboole_0 != k2_rmod_4(X0,X1,X2) )
& ( k2_rmod_4(X0,X1,X2) = k1_xboole_0
| k3_rmod_4(X0,X1) != X2 ) )
| ~ m1_rmod_4(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,[],[f10715]) ).
fof(f14439,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| m2_rmod_4(sK26(X0,X1,X2),X0,X1,X2)
| v1_rmod_5(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,[],[f13361]) ).
fof(f14441,plain,
! [X2,X0,X1] :
( v1_rmod_5(X2,X0,X1)
| k1_xboole_0 != k2_rmod_4(X0,X1,sK26(X0,X1,X2))
| ~ 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)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f13361]) ).
fof(f14444,plain,
l3_vectsp_1(sK27),
inference(cnf_transformation,[],[f13362]) ).
fof(f14445,plain,
v8_vectsp_1(sK27),
inference(cnf_transformation,[],[f13362]) ).
fof(f14446,plain,
v7_vectsp_1(sK27),
inference(cnf_transformation,[],[f13362]) ).
fof(f14447,plain,
v6_vectsp_1(sK27),
inference(cnf_transformation,[],[f13362]) ).
fof(f14448,plain,
v4_group_1(sK27),
inference(cnf_transformation,[],[f13362]) ).
fof(f14449,plain,
v6_rlvect_1(sK27),
inference(cnf_transformation,[],[f13362]) ).
fof(f14450,plain,
v5_rlvect_1(sK27),
inference(cnf_transformation,[],[f13362]) ).
fof(f14451,plain,
v4_rlvect_1(sK27),
inference(cnf_transformation,[],[f13362]) ).
fof(f14452,plain,
v3_rlvect_1(sK27),
inference(cnf_transformation,[],[f13362]) ).
fof(f14453,plain,
~ v3_struct_0(sK27),
inference(cnf_transformation,[],[f13362]) ).
fof(f14454,plain,
l1_vectsp_2(sK28,sK27),
inference(cnf_transformation,[],[f13362]) ).
fof(f14455,plain,
v5_vectsp_2(sK28,sK27),
inference(cnf_transformation,[],[f13362]) ).
fof(f14456,plain,
v6_rlvect_1(sK28),
inference(cnf_transformation,[],[f13362]) ).
fof(f14457,plain,
v5_rlvect_1(sK28),
inference(cnf_transformation,[],[f13362]) ).
fof(f14458,plain,
v4_rlvect_1(sK28),
inference(cnf_transformation,[],[f13362]) ).
fof(f14459,plain,
v3_rlvect_1(sK28),
inference(cnf_transformation,[],[f13362]) ).
fof(f14460,plain,
~ v3_struct_0(sK28),
inference(cnf_transformation,[],[f13362]) ).
fof(f14461,plain,
~ v1_rmod_5(k1_subset_1(u1_struct_0(sK28)),sK27,sK28),
inference(cnf_transformation,[],[f13362]) ).
fof(f14640,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m2_rmod_4(X3,X0,X1,X2)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| m1_rmod_4(X3,X0,X1) ),
inference(cnf_transformation,[],[f10154]) ).
fof(f14701,plain,
! [X0] : m1_subset_1(k1_subset_1(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f563]) ).
fof(f14705,plain,
! [X0] : k1_xboole_0 = k1_subset_1(X0),
inference(cnf_transformation,[],[f481]) ).
fof(f15357,plain,
! [X2,X0,X1] :
( k3_rmod_4(X0,X1) = X2
| ~ m2_rmod_4(X2,X0,X1,k1_subset_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f10709]) ).
fof(f15358,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| m2_rmod_4(k3_rmod_4(X0,X1),X0,X1,X2)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f10711]) ).
fof(f15360,plain,
! [X2,X0,X1] :
( k1_xboole_0 = k2_rmod_4(X0,X1,X2)
| k3_rmod_4(X0,X1) != X2
| ~ m1_rmod_4(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,[],[f13560]) ).
fof(f16158,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f3551]) ).
fof(f19224,plain,
! [X0] : k1_subset_1(X0) = np__0,
inference(definition_unfolding,[],[f14705,f16158]) ).
fof(f19227,plain,
! [X2,X0,X1] :
( np__0 != k2_rmod_4(X0,X1,sK26(X0,X1,X2))
| v1_rmod_5(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)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(definition_unfolding,[],[f14441,f16158]) ).
fof(f19229,plain,
~ v1_rmod_5(np__0,sK27,sK28),
inference(definition_unfolding,[],[f14461,f19224]) ).
fof(f19265,plain,
! [X0] : m1_subset_1(np__0,k1_zfmisc_1(X0)),
inference(definition_unfolding,[],[f14701,f19224]) ).
fof(f19301,plain,
! [X2,X0,X1] :
( ~ m2_rmod_4(X2,X0,X1,np__0)
| k3_rmod_4(X0,X1) = X2
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(definition_unfolding,[],[f15357,f19224]) ).
fof(f19303,plain,
! [X2,X0,X1] :
( np__0 = k2_rmod_4(X0,X1,X2)
| k3_rmod_4(X0,X1) != X2
| ~ m1_rmod_4(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(definition_unfolding,[],[f15360,f16158]) ).
fof(f20273,plain,
! [X0,X1] :
( ~ v8_vectsp_1(X0)
| ~ m1_rmod_4(k3_rmod_4(X0,X1),X0,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| np__0 = k2_rmod_4(X0,X1,k3_rmod_4(X0,X1))
| ~ l3_vectsp_1(X0) ),
inference(equality_resolution,[],[f19303]) ).
fof(f21330,plain,
! [X0,X1] :
( ~ v8_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| m2_rmod_4(k3_rmod_4(X0,X1),X0,X1,np__0)
| ~ l3_vectsp_1(X0) ),
inference(resolution,[],[f19265,f15358]) ).
fof(f21331,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(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)
| ~ m2_rmod_4(X0,X1,X2,np__0)
| ~ l3_vectsp_1(X1)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| m1_rmod_4(X0,X1,X2) ),
inference(resolution,[],[f19265,f14640]) ).
fof(f21334,plain,
! [X0,X1] :
( ~ v8_vectsp_1(X0)
| v1_rmod_5(np__0,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)
| m2_rmod_4(sK26(X0,X1,np__0),X0,X1,np__0)
| ~ l3_vectsp_1(X0) ),
inference(resolution,[],[f19265,f14439]) ).
fof(f21335,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m2_rmod_4(k3_rmod_4(sK27,X0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(resolution,[],[f21330,f14445]) ).
fof(f21336,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m2_rmod_4(k3_rmod_4(sK27,X0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21335,f14453]) ).
fof(f21337,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m2_rmod_4(k3_rmod_4(sK27,X0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21336,f14452]) ).
fof(f21338,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m2_rmod_4(k3_rmod_4(sK27,X0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21337,f14451]) ).
fof(f21339,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m2_rmod_4(k3_rmod_4(sK27,X0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21338,f14450]) ).
fof(f21340,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m2_rmod_4(k3_rmod_4(sK27,X0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21339,f14449]) ).
fof(f21341,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m2_rmod_4(k3_rmod_4(sK27,X0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21340,f14448]) ).
fof(f21342,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v7_vectsp_1(sK27)
| m2_rmod_4(k3_rmod_4(sK27,X0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21341,f14447]) ).
fof(f21343,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| m2_rmod_4(k3_rmod_4(sK27,X0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21342,f14446]) ).
fof(f21344,plain,
! [X0] :
( m2_rmod_4(k3_rmod_4(sK27,X0),sK27,X0,np__0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f21343,f14444]) ).
fof(f21347,plain,
! [X0,X1] :
( v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ m2_rmod_4(X0,sK27,X1,np__0)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK27)
| ~ l1_vectsp_2(X1,sK27)
| m1_rmod_4(X0,sK27,X1) ),
inference(resolution,[],[f21331,f14445]) ).
fof(f21348,plain,
! [X0,X1] :
( ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ m2_rmod_4(X0,sK27,X1,np__0)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK27)
| ~ l1_vectsp_2(X1,sK27)
| m1_rmod_4(X0,sK27,X1) ),
inference(forward_subsumption_resolution,[],[f21347,f14453]) ).
fof(f21349,plain,
! [X0,X1] :
( ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ m2_rmod_4(X0,sK27,X1,np__0)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK27)
| ~ l1_vectsp_2(X1,sK27)
| m1_rmod_4(X0,sK27,X1) ),
inference(forward_subsumption_resolution,[],[f21348,f14452]) ).
fof(f21350,plain,
! [X0,X1] :
( ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ m2_rmod_4(X0,sK27,X1,np__0)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK27)
| ~ l1_vectsp_2(X1,sK27)
| m1_rmod_4(X0,sK27,X1) ),
inference(forward_subsumption_resolution,[],[f21349,f14451]) ).
fof(f21351,plain,
! [X0,X1] :
( ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ m2_rmod_4(X0,sK27,X1,np__0)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK27)
| ~ l1_vectsp_2(X1,sK27)
| m1_rmod_4(X0,sK27,X1) ),
inference(forward_subsumption_resolution,[],[f21350,f14450]) ).
fof(f21352,plain,
! [X0,X1] :
( ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ m2_rmod_4(X0,sK27,X1,np__0)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK27)
| ~ l1_vectsp_2(X1,sK27)
| m1_rmod_4(X0,sK27,X1) ),
inference(forward_subsumption_resolution,[],[f21351,f14449]) ).
fof(f21353,plain,
! [X0,X1] :
( ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ m2_rmod_4(X0,sK27,X1,np__0)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK27)
| ~ l1_vectsp_2(X1,sK27)
| m1_rmod_4(X0,sK27,X1) ),
inference(forward_subsumption_resolution,[],[f21352,f14448]) ).
fof(f21354,plain,
! [X0,X1] :
( ~ v7_vectsp_1(sK27)
| ~ m2_rmod_4(X0,sK27,X1,np__0)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK27)
| ~ l1_vectsp_2(X1,sK27)
| m1_rmod_4(X0,sK27,X1) ),
inference(forward_subsumption_resolution,[],[f21353,f14447]) ).
fof(f21355,plain,
! [X0,X1] :
( ~ m2_rmod_4(X0,sK27,X1,np__0)
| ~ l3_vectsp_1(sK27)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,sK27)
| ~ l1_vectsp_2(X1,sK27)
| m1_rmod_4(X0,sK27,X1) ),
inference(forward_subsumption_resolution,[],[f21354,f14446]) ).
fof(f21356,plain,
! [X0,X1] :
( ~ v5_vectsp_2(X1,sK27)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ m2_rmod_4(X0,sK27,X1,np__0)
| ~ l1_vectsp_2(X1,sK27)
| m1_rmod_4(X0,sK27,X1) ),
inference(forward_subsumption_resolution,[],[f21355,f14444]) ).
fof(f21357,plain,
! [X0] :
( v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ m2_rmod_4(X0,sK27,sK28,np__0)
| ~ l1_vectsp_2(sK28,sK27)
| m1_rmod_4(X0,sK27,sK28) ),
inference(resolution,[],[f21356,f14455]) ).
fof(f21358,plain,
! [X0] :
( ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ m2_rmod_4(X0,sK27,sK28,np__0)
| ~ l1_vectsp_2(sK28,sK27)
| m1_rmod_4(X0,sK27,sK28) ),
inference(forward_subsumption_resolution,[],[f21357,f14460]) ).
fof(f21359,plain,
! [X0] :
( ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ m2_rmod_4(X0,sK27,sK28,np__0)
| ~ l1_vectsp_2(sK28,sK27)
| m1_rmod_4(X0,sK27,sK28) ),
inference(forward_subsumption_resolution,[],[f21358,f14459]) ).
fof(f21360,plain,
! [X0] :
( ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ m2_rmod_4(X0,sK27,sK28,np__0)
| ~ l1_vectsp_2(sK28,sK27)
| m1_rmod_4(X0,sK27,sK28) ),
inference(forward_subsumption_resolution,[],[f21359,f14458]) ).
fof(f21361,plain,
! [X0] :
( ~ v6_rlvect_1(sK28)
| ~ m2_rmod_4(X0,sK27,sK28,np__0)
| ~ l1_vectsp_2(sK28,sK27)
| m1_rmod_4(X0,sK27,sK28) ),
inference(forward_subsumption_resolution,[],[f21360,f14457]) ).
fof(f21362,plain,
! [X0] :
( ~ m2_rmod_4(X0,sK27,sK28,np__0)
| ~ l1_vectsp_2(sK28,sK27)
| m1_rmod_4(X0,sK27,sK28) ),
inference(forward_subsumption_resolution,[],[f21361,f14456]) ).
fof(f21363,plain,
! [X0] :
( ~ m2_rmod_4(X0,sK27,sK28,np__0)
| m1_rmod_4(X0,sK27,sK28) ),
inference(forward_subsumption_resolution,[],[f21362,f14454]) ).
fof(f21364,plain,
( m1_rmod_4(k3_rmod_4(sK27,sK28),sK27,sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK28) ),
inference(resolution,[],[f21363,f21344]) ).
fof(f21365,plain,
( m1_rmod_4(k3_rmod_4(sK27,sK28),sK27,sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK28) ),
inference(forward_subsumption_resolution,[],[f21364,f14459]) ).
fof(f21366,plain,
( m1_rmod_4(k3_rmod_4(sK27,sK28),sK27,sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK28) ),
inference(forward_subsumption_resolution,[],[f21365,f14458]) ).
fof(f21367,plain,
( m1_rmod_4(k3_rmod_4(sK27,sK28),sK27,sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK28) ),
inference(forward_subsumption_resolution,[],[f21366,f14457]) ).
fof(f21368,plain,
( m1_rmod_4(k3_rmod_4(sK27,sK28),sK27,sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK28) ),
inference(forward_subsumption_resolution,[],[f21367,f14456]) ).
fof(f21369,plain,
( m1_rmod_4(k3_rmod_4(sK27,sK28),sK27,sK28)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK28) ),
inference(forward_subsumption_resolution,[],[f21368,f14455]) ).
fof(f21370,plain,
( m1_rmod_4(k3_rmod_4(sK27,sK28),sK27,sK28)
| v3_struct_0(sK28) ),
inference(forward_subsumption_resolution,[],[f21369,f14454]) ).
fof(f21371,plain,
m1_rmod_4(k3_rmod_4(sK27,sK28),sK27,sK28),
inference(forward_subsumption_resolution,[],[f21370,f14460]) ).
fof(f21372,plain,
! [X0] :
( v1_rmod_5(np__0,sK27,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m2_rmod_4(sK26(sK27,X0,np__0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(resolution,[],[f21334,f14445]) ).
fof(f21373,plain,
! [X0] :
( v1_rmod_5(np__0,sK27,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m2_rmod_4(sK26(sK27,X0,np__0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21372,f14453]) ).
fof(f21374,plain,
! [X0] :
( v1_rmod_5(np__0,sK27,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m2_rmod_4(sK26(sK27,X0,np__0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21373,f14452]) ).
fof(f21375,plain,
! [X0] :
( v1_rmod_5(np__0,sK27,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m2_rmod_4(sK26(sK27,X0,np__0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21374,f14451]) ).
fof(f21376,plain,
! [X0] :
( v1_rmod_5(np__0,sK27,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m2_rmod_4(sK26(sK27,X0,np__0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21375,f14450]) ).
fof(f21377,plain,
! [X0] :
( v1_rmod_5(np__0,sK27,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m2_rmod_4(sK26(sK27,X0,np__0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21376,f14449]) ).
fof(f21378,plain,
! [X0] :
( v1_rmod_5(np__0,sK27,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| m2_rmod_4(sK26(sK27,X0,np__0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21377,f14448]) ).
fof(f21379,plain,
! [X0] :
( v1_rmod_5(np__0,sK27,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| ~ v7_vectsp_1(sK27)
| m2_rmod_4(sK26(sK27,X0,np__0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21378,f14447]) ).
fof(f21380,plain,
! [X0] :
( v1_rmod_5(np__0,sK27,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK27)
| ~ l1_vectsp_2(X0,sK27)
| m2_rmod_4(sK26(sK27,X0,np__0),sK27,X0,np__0)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21379,f14446]) ).
fof(f21381,plain,
! [X0] :
( ~ v5_vectsp_2(X0,sK27)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| v1_rmod_5(np__0,sK27,X0)
| ~ l1_vectsp_2(X0,sK27)
| m2_rmod_4(sK26(sK27,X0,np__0),sK27,X0,np__0) ),
inference(forward_subsumption_resolution,[],[f21380,f14444]) ).
fof(f21382,plain,
( v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| v1_rmod_5(np__0,sK27,sK28)
| ~ l1_vectsp_2(sK28,sK27)
| m2_rmod_4(sK26(sK27,sK28,np__0),sK27,sK28,np__0) ),
inference(resolution,[],[f21381,f14455]) ).
fof(f21383,plain,
( ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| v1_rmod_5(np__0,sK27,sK28)
| ~ l1_vectsp_2(sK28,sK27)
| m2_rmod_4(sK26(sK27,sK28,np__0),sK27,sK28,np__0) ),
inference(forward_subsumption_resolution,[],[f21382,f14460]) ).
fof(f21384,plain,
( ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| v1_rmod_5(np__0,sK27,sK28)
| ~ l1_vectsp_2(sK28,sK27)
| m2_rmod_4(sK26(sK27,sK28,np__0),sK27,sK28,np__0) ),
inference(forward_subsumption_resolution,[],[f21383,f14459]) ).
fof(f21385,plain,
( ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| v1_rmod_5(np__0,sK27,sK28)
| ~ l1_vectsp_2(sK28,sK27)
| m2_rmod_4(sK26(sK27,sK28,np__0),sK27,sK28,np__0) ),
inference(forward_subsumption_resolution,[],[f21384,f14458]) ).
fof(f21386,plain,
( ~ v6_rlvect_1(sK28)
| v1_rmod_5(np__0,sK27,sK28)
| ~ l1_vectsp_2(sK28,sK27)
| m2_rmod_4(sK26(sK27,sK28,np__0),sK27,sK28,np__0) ),
inference(forward_subsumption_resolution,[],[f21385,f14457]) ).
fof(f21387,plain,
( v1_rmod_5(np__0,sK27,sK28)
| ~ l1_vectsp_2(sK28,sK27)
| m2_rmod_4(sK26(sK27,sK28,np__0),sK27,sK28,np__0) ),
inference(forward_subsumption_resolution,[],[f21386,f14456]) ).
fof(f21388,plain,
( ~ l1_vectsp_2(sK28,sK27)
| m2_rmod_4(sK26(sK27,sK28,np__0),sK27,sK28,np__0) ),
inference(forward_subsumption_resolution,[],[f21387,f19229]) ).
fof(f21389,plain,
m2_rmod_4(sK26(sK27,sK28,np__0),sK27,sK28,np__0),
inference(forward_subsumption_resolution,[],[f21388,f14454]) ).
fof(f21391,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(resolution,[],[f21389,f19301]) ).
fof(f21392,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21391,f14460]) ).
fof(f21393,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21392,f14459]) ).
fof(f21394,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21393,f14458]) ).
fof(f21395,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21394,f14457]) ).
fof(f21396,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21395,f14456]) ).
fof(f21397,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21396,f14455]) ).
fof(f21398,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21397,f14454]) ).
fof(f21399,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21398,f14453]) ).
fof(f21400,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21399,f14452]) ).
fof(f21401,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21400,f14451]) ).
fof(f21402,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21401,f14450]) ).
fof(f21403,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21402,f14449]) ).
fof(f21404,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21403,f14448]) ).
fof(f21405,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21404,f14447]) ).
fof(f21406,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21405,f14446]) ).
fof(f21407,plain,
( sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21406,f14445]) ).
fof(f21408,plain,
sK26(sK27,sK28,np__0) = k3_rmod_4(sK27,sK28),
inference(forward_subsumption_resolution,[],[f21407,f14444]) ).
fof(f21410,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| v1_rmod_5(np__0,sK27,sK28)
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK28)))
| v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(superposition,[],[f19227,f21408]) ).
fof(f21411,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| ~ m1_subset_1(np__0,k1_zfmisc_1(u1_struct_0(sK28)))
| v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21410,f19229]) ).
fof(f21412,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| v3_struct_0(sK28)
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21411,f19265]) ).
fof(f21413,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| ~ v3_rlvect_1(sK28)
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21412,f14460]) ).
fof(f21414,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| ~ v4_rlvect_1(sK28)
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21413,f14459]) ).
fof(f21415,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| ~ v5_rlvect_1(sK28)
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21414,f14458]) ).
fof(f21416,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| ~ v6_rlvect_1(sK28)
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21415,f14457]) ).
fof(f21417,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| ~ v5_vectsp_2(sK28,sK27)
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21416,f14456]) ).
fof(f21418,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| ~ l1_vectsp_2(sK28,sK27)
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21417,f14455]) ).
fof(f21419,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| v3_struct_0(sK27)
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21418,f14454]) ).
fof(f21420,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| ~ v3_rlvect_1(sK27)
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21419,f14453]) ).
fof(f21421,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| ~ v4_rlvect_1(sK27)
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21420,f14452]) ).
fof(f21422,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| ~ v5_rlvect_1(sK27)
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21421,f14451]) ).
fof(f21423,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| ~ v6_rlvect_1(sK27)
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21422,f14450]) ).
fof(f21424,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| ~ v4_group_1(sK27)
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21423,f14449]) ).
fof(f21425,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| ~ v6_vectsp_1(sK27)
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21424,f14448]) ).
fof(f21426,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| ~ v7_vectsp_1(sK27)
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21425,f14447]) ).
fof(f21427,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| ~ v8_vectsp_1(sK27)
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21426,f14446]) ).
fof(f21428,plain,
( np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28))
| ~ l3_vectsp_1(sK27) ),
inference(forward_subsumption_resolution,[],[f21427,f14445]) ).
fof(f21429,plain,
np__0 != k2_rmod_4(sK27,sK28,k3_rmod_4(sK27,sK28)),
inference(forward_subsumption_resolution,[],[f21428,f14444]) ).
fof(f21749,plain,
$false,
inference(unit_resulting_resolution,[],[f20273,f14444,f14445,f14446,f14447,f14448,f14449,f14450,f14451,f14452,f14453,f14459,f14460,f14456,f14457,f14458,f14454,f14455,f21371,f21429]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG215+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n020.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 19:45:52 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 9.56/2.55 % (463842)Detected formulas, will run a generic FOF schedule.
% 9.56/2.55 % (464215)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=2739639965:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 9.56/2.55 % (464218)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=2035957548:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 9.56/2.55 % (464221)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2789985136:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 9.56/2.55 % (464214)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=643568879:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 9.56/2.55 % (464222)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4003855607:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 9.56/2.55 % (464224)dis-21_1_sil=8000:lcm=predicate:random_seed=868833917:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 9.56/2.55 % (464220)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=980401386:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 9.56/2.55 % (464220)Refutation not found, incomplete strategy
% 9.56/2.55 % (464220)------------------------------
% 9.56/2.55 % (464220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.55 % (464220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.55 % (464220)CaDiCaL version: 2.1.3
% 9.56/2.55 % (464220)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.55 % (464220)Time elapsed: 0.044 s
% 9.56/2.55 % (464220)Peak memory usage: 101 MB
% 9.56/2.55 % (464220)Instructions burned: 56 (million)
% 9.56/2.55 % (464222)Instruction limit reached!
% 9.56/2.55 % (464222)------------------------------
% 9.56/2.55 % (464222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.55 % (464222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.55 % (464222)CaDiCaL version: 2.1.3
% 9.56/2.55 % (464222)Termination reason: Instruction limit
% 9.56/2.55 % (464222)Termination phase: SInE selection
% 9.56/2.55 % (464222)Time elapsed: 0.063 s
% 9.56/2.55 % (464222)Peak memory usage: 97 MB
% 9.56/2.55 % (464222)Instructions burned: 139 (million)
% 9.56/2.55 % (464221)Instruction limit reached!
% 9.56/2.55 % (464221)------------------------------
% 9.56/2.55 % (464221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.55 % (464221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.55 % (464221)CaDiCaL version: 2.1.3
% 9.56/2.55 % (464221)Termination reason: Instruction limit
% 9.56/2.55 % (464221)Termination phase: Property scanning
% 9.56/2.55 % (464221)Time elapsed: 0.087 s
% 9.56/2.55 % (464221)Peak memory usage: 100 MB
% 9.56/2.55 % (464221)Instructions burned: 120 (million)
% 9.56/2.55 % (464224)Instruction limit reached!
% 9.56/2.55 % (464224)------------------------------
% 9.56/2.55 % (464224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.55 % (464224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.55 % (464224)CaDiCaL version: 2.1.3
% 9.56/2.55 % (464224)Termination reason: Instruction limit
% 9.56/2.55 % (464224)Termination phase: Unused predicate definition removal
% 9.56/2.55 % (464224)Time elapsed: 0.095 s
% 9.56/2.55 % (464224)Peak memory usage: 98 MB
% 9.56/2.55 % (464224)Instructions burned: 129 (million)
% 9.56/2.55 % (464310)lrs+10_1_sil=8000:sp=occurrence:random_seed=1814855855:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 9.56/2.55 % (464317)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2070580970:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 9.56/2.55 % (464325)lrs+1011_1_sil=32000:sp=occurrence:random_seed=315660193:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 9.56/2.55 % (464317)Instruction limit reached!
% 9.56/2.55 % (464317)------------------------------
% 9.56/2.55 % (464317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.55 % (464317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.55 % (464317)CaDiCaL version: 2.1.3
% 9.56/2.55 % (464317)Termination reason: Instruction limit
% 9.56/2.55 % (464317)Termination phase: SInE selection
% 9.56/2.55 % (464317)Time elapsed: 0.080 s
% 9.56/2.55 % (464317)Peak memory usage: 97 MB
% 9.56/2.55 % (464317)Instructions burned: 158 (million)
% 9.56/2.55 % (464220)------------------------------
% 9.56/2.55 % (464220)------------------------------
% 9.56/2.55 % (464325)Refutation not found, incomplete strategy
% 9.56/2.55 % (464325)------------------------------
% 9.56/2.55 % (464325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.55 % (464325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.55 % (464325)CaDiCaL version: 2.1.3
% 9.56/2.55 % (464325)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.55 % (464325)Time elapsed: 0.050 s
% 9.56/2.55 % (464325)Peak memory usage: 101 MB
% 9.56/2.55 % (464325)Instructions burned: 61 (million)
% 9.56/2.55 % (464310)Instruction limit reached!
% 9.56/2.55 % (464310)------------------------------
% 9.56/2.55 % (464310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.55 % (464310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.55 % (464310)CaDiCaL version: 2.1.3
% 9.56/2.55 % (464310)Termination reason: Instruction limit
% 9.56/2.55 % (464310)Termination phase: Saturation
% 9.56/2.55 % (464310)Time elapsed: 0.196 s
% 9.56/2.55 % (464310)Peak memory usage: 103 MB
% 9.56/2.55 % (464310)Instructions burned: 286 (million)
% 9.56/2.55 % (464404)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=847077229:s2a=on:i=248:s2at=1.23:gtg=position_2991 on theBenchmark for (2991ds/248Mi)
% 9.56/2.55 % (464408)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4266497778:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 9.56/2.55 % (464447)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3690719764:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 9.56/2.55 % (464325)------------------------------
% 9.56/2.55 % (464325)------------------------------
% 9.56/2.55 % (464404)Instruction limit reached!
% 9.56/2.55 % (464404)------------------------------
% 9.56/2.55 % (464404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.55 % (464404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.55 % (464404)CaDiCaL version: 2.1.3
% 9.56/2.55 % (464404)Termination reason: Instruction limit
% 9.56/2.55 % (464404)Termination phase: Preprocessing 1
% 9.56/2.55 % (464404)Time elapsed: 0.140 s
% 9.56/2.55 % (464404)Peak memory usage: 97 MB
% 9.56/2.55 % (464404)Instructions burned: 249 (million)
% 9.56/2.55 % (464408)Refutation not found, incomplete strategy
% 9.56/2.55 % (464408)------------------------------
% 9.56/2.55 % (464408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.55 % (464408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.55 % (464408)CaDiCaL version: 2.1.3
% 9.56/2.55 % (464408)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.55 % (464408)Time elapsed: 0.126 s
% 9.56/2.55 % (464408)Peak memory usage: 104 MB
% 9.56/2.55 % (464408)Instructions burned: 197 (million)
% 9.56/2.55 % (464456)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3997560834:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 9.56/2.55 % (464457)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1534216141:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 9.56/2.55 % (464456)Instruction limit reached!
% 9.56/2.55 % (464456)------------------------------
% 9.56/2.55 % (464456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.55 % (464456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.55 % (464456)CaDiCaL version: 2.1.3
% 9.56/2.55 % (464456)Termination reason: Instruction limit
% 9.56/2.55 % (464456)Termination phase: Property scanning
% 9.56/2.55 % (464456)Time elapsed: 0.085 s
% 9.56/2.55 % (464456)Peak memory usage: 101 MB
% 9.56/2.55 % (464456)Instructions burned: 113 (million)
% 9.56/2.55 % (464457)Instruction limit reached!
% 9.56/2.55 % (464457)------------------------------
% 9.56/2.55 % (464457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.55 % (464457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.55 % (464457)CaDiCaL version: 2.1.3
% 9.56/2.55 % (464457)Termination reason: Instruction limit
% 9.56/2.55 % (464457)Termination phase: Naming
% 9.56/2.55 % (464457)Time elapsed: 0.098 s
% 9.56/2.55 % (464457)Peak memory usage: 106 MB
% 9.56/2.55 % (464457)Instructions burned: 128 (million)
% 9.56/2.55 % (464408)------------------------------
% 9.56/2.55 % (464408)------------------------------
% 9.56/2.55 % (464460)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3896884447:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 9.56/2.55 % (464461)lrs+10_1_sil=8000:sp=occurrence:random_seed=384717954:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 9.56/2.55 % (464460)Instruction limit reached!
% 9.56/2.55 % (464460)------------------------------
% 9.56/2.55 % (464460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.55 % (464460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.55 % (464460)CaDiCaL version: 2.1.3
% 9.56/2.55 % (464460)Termination reason: Instruction limit
% 9.56/2.55 % (464460)Termination phase: Property scanning
% 9.56/2.55 % (464460)Time elapsed: 0.048 s
% 9.56/2.55 % (464460)Peak memory usage: 96 MB
% 9.56/2.55 % (464460)Instructions burned: 115 (million)
% 9.56/2.55 % (464462)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1799830084:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 9.56/2.55 % (464462)Refutation not found, incomplete strategy
% 9.56/2.55 % (464462)------------------------------
% 9.56/2.55 % (464462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.56/2.55 % (464462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.56/2.55 % (464462)CaDiCaL version: 2.1.3
% 9.56/2.55 % (464462)Termination reason: Refutation not found, incomplete strategy
% 9.56/2.55 % (464462)Time elapsed: 0.056 s
% 9.56/2.55 % (464462)Peak memory usage: 101 MB
% 9.56/2.55 % (464462)Instructions burned: 73 (million)
% 9.56/2.55 % (464498)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2700828748:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 9.56/2.55 % (464215)First to succeed.
% 9.56/2.55 % (464215)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-463842"
% 9.56/2.55 % (464462)------------------------------
% 9.56/2.55 % (464462)------------------------------
% 9.56/2.55 % (464215)Refutation found. Thanks to Tanya!
% 9.56/2.55 % SZS status Theorem for theBenchmark
% 9.56/2.55 % SZS output start Proof for theBenchmark
% See solution above
% 11.21/2.79 % (464215)------------------------------
% 11.21/2.79 % (464215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.21/2.79 % (464215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.21/2.79 % (464215)CaDiCaL version: 2.1.3
% 11.21/2.79 % (464215)Termination reason: Refutation
% 11.21/2.79 % (464215)Time elapsed: 1.147 s
% 11.21/2.79 % (464215)Peak memory usage: 199 MB
% 11.21/2.79 % (464215)Instructions burned: 3520 (million)
% 11.21/2.79 % (464215)------------------------------
% 11.21/2.79 % (464215)------------------------------
% 11.21/2.79 % (463842)Success in time 1.891 s
% 11.21/2.79 % Vampire exiting
%------------------------------------------------------------------------------