%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG219+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 09:29:49 AM UTC 2026
% Result : Theorem 0.18s 0.32s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 10
% Syntax : Number of formulae : 151 ( 42 unt; 2 def)
% Number of atoms : 1203 ( 104 equ)
% Maximal formula atoms : 26 ( 7 avg)
% Number of connectives : 1678 ( 626 ~; 885 |; 144 &)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-5 aty)
% Number of variables : 121 ( 0 sgn 115 !; 6 ?)
% 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)
& v3_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X2 = u1_struct_0(X1)
=> ( k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rmod_5(X0,X1,X2) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_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)
& v3_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X2 = u1_struct_0(X1)
=> ( k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rmod_5(X0,X1,X2) = X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0,X1] :
( ( l1_struct_0(X0)
& l1_vectsp_2(X1,X0) )
=> ( v3_vectsp_2(X1,X0)
=> X1 = g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v3_vectsp_2) ).
fof(f8,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) )
=> k2_rmod_2(X0,X1) = g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_rmod_2) ).
fof(f15,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(k2_rmod_2(X0,X1),X0)
& m1_rmod_2(k2_rmod_2(X0,X1),X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_rmod_2) ).
fof(f22,axiom,
! [X0] :
( l2_struct_0(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_struct_0) ).
fof(f23,axiom,
! [X0] :
( l2_vectsp_1(X0)
=> ( l1_vectsp_1(X0)
& l2_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_vectsp_1) ).
fof(f24,axiom,
! [X0] :
( l3_vectsp_1(X0)
=> ( l1_rlvect_1(X0)
& l2_vectsp_1(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_vectsp_1) ).
fof(f65,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) )
=> ( X2 = u1_struct_0(X3)
=> ( k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rmod_5(X0,X1,X2) = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_rmod_5) ).
fof(f79,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_rlvect_1(X0) != k2_group_1(X0)
& k1_rmod_5(X0,X1,X2) != X1
& X2 = u1_struct_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v3_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f80,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_rlvect_1(X0) != k2_group_1(X0)
& k1_rmod_5(X0,X1,X2) != X1
& X2 = u1_struct_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v3_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1] :
( X1 = g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1))
| ~ v3_vectsp_2(X1,X0)
| ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f82,plain,
! [X0,X1] :
( X1 = g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1))
| ~ v3_vectsp_2(X1,X0)
| ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0) ),
inference(flattening,[],[f81]) ).
fof(f88,plain,
! [X0] :
( ! [X1] :
( k2_rmod_2(X0,X1) = g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_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)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( k2_rmod_2(X0,X1) = g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_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)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f88]) ).
fof(f97,plain,
! [X0,X1] :
( ( v3_vectsp_2(k2_rmod_2(X0,X1),X0)
& m1_rmod_2(k2_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,[],[f15]) ).
fof(f98,plain,
! [X0,X1] :
( ( v3_vectsp_2(k2_rmod_2(X0,X1),X0)
& m1_rmod_2(k2_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,[],[f97]) ).
fof(f103,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f104,plain,
! [X0] :
( ( l1_vectsp_1(X0)
& l2_struct_0(X0) )
| ~ l2_vectsp_1(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f105,plain,
! [X0] :
( ( l1_rlvect_1(X0)
& l2_vectsp_1(X0) )
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rmod_5(X0,X1,X2) = X3
| u1_struct_0(X3) != 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,[],[f65]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k1_rlvect_1(X0) = k2_group_1(X0)
| k1_rmod_5(X0,X1,X2) = X3
| u1_struct_0(X3) != 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,[],[f135]) ).
fof(f147,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f80]) ).
fof(f148,plain,
sK2 = u1_struct_0(sK1),
inference(cnf_transformation,[],[f80]) ).
fof(f149,plain,
sK1 != k1_rmod_5(sK0,sK1,sK2),
inference(cnf_transformation,[],[f80]) ).
fof(f150,plain,
k1_rlvect_1(sK0) != k2_group_1(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f151,plain,
l1_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f152,plain,
v5_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f153,plain,
v3_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f154,plain,
v6_rlvect_1(sK1),
inference(cnf_transformation,[],[f80]) ).
fof(f155,plain,
v5_rlvect_1(sK1),
inference(cnf_transformation,[],[f80]) ).
fof(f156,plain,
v4_rlvect_1(sK1),
inference(cnf_transformation,[],[f80]) ).
fof(f157,plain,
v3_rlvect_1(sK1),
inference(cnf_transformation,[],[f80]) ).
fof(f158,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f80]) ).
fof(f159,plain,
l3_vectsp_1(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f160,plain,
v2_vectsp_2(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f161,plain,
~ v10_vectsp_1(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f162,plain,
v8_vectsp_1(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f163,plain,
v7_vectsp_1(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f164,plain,
v6_vectsp_1(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f165,plain,
v7_group_1(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f166,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f167,plain,
v6_rlvect_1(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f168,plain,
v5_rlvect_1(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f169,plain,
v4_rlvect_1(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f170,plain,
v3_rlvect_1(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f171,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f172,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X1,X0)
| ~ l1_struct_0(X0)
| ~ v3_vectsp_2(X1,X0)
| g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f82]) ).
fof(f176,plain,
! [X0,X1] :
( ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = k2_rmod_2(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f183,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_rmod_2(k2_rmod_2(X0,X1),X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f189,plain,
! [X0] :
( ~ l2_struct_0(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f190,plain,
! [X0] :
( ~ l2_vectsp_1(X0)
| l2_struct_0(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f192,plain,
! [X0] :
( l2_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_rmod_2(X3,X0,X1)
| ~ v3_vectsp_2(X3,X0)
| u1_struct_0(X3) != X2
| k1_rmod_5(X0,X1,X2) = X3
| k1_rlvect_1(X0) = k2_group_1(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f283,plain,
! [X3,X0,X1] :
( ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(u1_struct_0(X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_rmod_2(X3,X0,X1)
| ~ v3_vectsp_2(X3,X0)
| k1_rmod_5(X0,X1,u1_struct_0(X3)) = X3
| k1_rlvect_1(X0) = k2_group_1(X0) ),
inference(equality_resolution,[],[f274]) ).
fof(f284,plain,
~ v5_rlvect_1(sK0),
inference(consistent_polarity_flipping,[],[f168]) ).
fof(f285,plain,
~ v4_group_1(sK0),
inference(consistent_polarity_flipping,[],[f166]) ).
fof(f286,plain,
~ v7_group_1(sK0),
inference(consistent_polarity_flipping,[],[f165]) ).
fof(f287,plain,
~ v8_vectsp_1(sK0),
inference(consistent_polarity_flipping,[],[f162]) ).
fof(f288,plain,
~ v5_rlvect_1(sK1),
inference(consistent_polarity_flipping,[],[f155]) ).
fof(f289,plain,
~ v3_vectsp_2(sK1,sK0),
inference(consistent_polarity_flipping,[],[f153]) ).
fof(f290,plain,
~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(consistent_polarity_flipping,[],[f147]) ).
fof(f291,plain,
! [X0,X1] :
( v3_vectsp_2(X1,X0)
| ~ l1_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = X1 ),
inference(consistent_polarity_flipping,[],[f172]) ).
fof(f294,plain,
! [X0,X1] :
( ~ v7_vectsp_1(X0)
| v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| g1_vectsp_2(X0,u1_struct_0(X1),u1_rlvect_1(X1),u2_struct_0(X1),u1_vectsp_2(X0,X1)) = k2_rmod_2(X0,X1) ),
inference(consistent_polarity_flipping,[],[f176]) ).
fof(f302,plain,
! [X0,X1] :
( m1_rmod_2(k2_rmod_2(X0,X1),X0,X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0) ),
inference(consistent_polarity_flipping,[],[f183]) ).
fof(f357,plain,
! [X3,X0,X1] :
( ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| v10_vectsp_1(X0)
| v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| v7_group_1(X0)
| v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| m1_subset_1(u1_struct_0(X3),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_rmod_2(X3,X0,X1)
| v3_vectsp_2(X3,X0)
| k1_rmod_5(X0,X1,u1_struct_0(X3)) = X3
| k1_rlvect_1(X0) = k2_group_1(X0) ),
inference(consistent_polarity_flipping,[],[f283]) ).
fof(f363,plain,
~ m1_subset_1(sK2,k1_zfmisc_1(sK2)),
inference(forward_demodulation,[],[f290,f148]) ).
fof(f373,plain,
! [X0] :
( l2_struct_0(X0)
| ~ l3_vectsp_1(X0) ),
inference(resolution,[],[f192,f190]) ).
fof(f393,definition,
( spl27_2
<=> l1_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f395,plain,
( ~ l1_struct_0(sK0)
| spl27_2 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f501,plain,
( ~ l1_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| sK1 = g1_vectsp_2(sK0,u1_struct_0(sK1),u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) ),
inference(resolution,[],[f291,f289]) ).
fof(f510,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l3_vectsp_1(X0) ),
inference(resolution,[],[f373,f189]) ).
fof(f522,plain,
( ~ l3_vectsp_1(sK0)
| spl27_2 ),
inference(resolution,[],[f510,f395]) ).
fof(f524,plain,
( $false
| spl27_2 ),
inference(forward_subsumption_resolution,[],[f522,f159]) ).
fof(f525,plain,
spl27_2,
inference(avatar_contradiction_clause,[],[f524]) ).
fof(f526,plain,
( ~ l1_struct_0(sK0)
| sK1 = g1_vectsp_2(sK0,u1_struct_0(sK1),u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) ),
inference(forward_subsumption_resolution,[],[f501,f151]) ).
fof(f532,plain,
( sK1 = g1_vectsp_2(sK0,sK2,u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1))
| ~ l1_struct_0(sK0) ),
inference(forward_demodulation,[],[f526,f148]) ).
fof(f534,definition,
( spl27_21
<=> sK1 = g1_vectsp_2(sK0,sK2,u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl27_21])],[avatar_definition]) ).
fof(f536,plain,
( sK1 = g1_vectsp_2(sK0,sK2,u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1))
| ~ spl27_21 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f537,plain,
( ~ spl27_2
| spl27_21 ),
inference(avatar_split_clause,[],[f532,f534,f393]) ).
fof(f642,plain,
! [X0] :
( v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| k2_rmod_2(sK0,X0) = g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) ),
inference(resolution,[],[f294,f163]) ).
fof(f643,plain,
! [X0] :
( ~ l3_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| k2_rmod_2(sK0,X0) = g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f642,f287]) ).
fof(f644,plain,
! [X0] :
( ~ v6_vectsp_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| k2_rmod_2(sK0,X0) = g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f643,f159]) ).
fof(f645,plain,
! [X0] :
( v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| k2_rmod_2(sK0,X0) = g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f644,f164]) ).
fof(f646,plain,
! [X0] :
( ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| k2_rmod_2(sK0,X0) = g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f645,f285]) ).
fof(f647,plain,
! [X0] :
( v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| k2_rmod_2(sK0,X0) = g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f646,f167]) ).
fof(f648,plain,
! [X0] :
( ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| k2_rmod_2(sK0,X0) = g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f647,f284]) ).
fof(f649,plain,
! [X0] :
( ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| k2_rmod_2(sK0,X0) = g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f648,f169]) ).
fof(f650,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| k2_rmod_2(sK0,X0) = g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f649,f170]) ).
fof(f651,plain,
! [X0] :
( ~ v5_vectsp_2(X0,sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| k2_rmod_2(sK0,X0) = g1_vectsp_2(sK0,u1_struct_0(X0),u1_rlvect_1(X0),u2_struct_0(X0),u1_vectsp_2(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f650,f171]) ).
fof(f670,plain,
! [X0,X1] :
( ~ l3_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v7_group_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_rmod_2(X1,sK0,X0)
| v3_vectsp_2(X1,sK0)
| k1_rmod_5(sK0,X0,u1_struct_0(X1)) = X1
| k1_rlvect_1(sK0) = k2_group_1(sK0) ),
inference(resolution,[],[f357,f160]) ).
fof(f671,plain,
! [X0,X1] :
( v10_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v7_group_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_rmod_2(X1,sK0,X0)
| v3_vectsp_2(X1,sK0)
| k1_rmod_5(sK0,X0,u1_struct_0(X1)) = X1
| k1_rlvect_1(sK0) = k2_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f670,f159]) ).
fof(f672,plain,
! [X0,X1] :
( v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v7_group_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_rmod_2(X1,sK0,X0)
| v3_vectsp_2(X1,sK0)
| k1_rmod_5(sK0,X0,u1_struct_0(X1)) = X1
| k1_rlvect_1(sK0) = k2_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f671,f161]) ).
fof(f673,plain,
! [X0,X1] :
( ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v7_group_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_rmod_2(X1,sK0,X0)
| v3_vectsp_2(X1,sK0)
| k1_rmod_5(sK0,X0,u1_struct_0(X1)) = X1
| k1_rlvect_1(sK0) = k2_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f672,f287]) ).
fof(f674,plain,
! [X0,X1] :
( ~ v6_vectsp_1(sK0)
| v7_group_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_rmod_2(X1,sK0,X0)
| v3_vectsp_2(X1,sK0)
| k1_rmod_5(sK0,X0,u1_struct_0(X1)) = X1
| k1_rlvect_1(sK0) = k2_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f673,f163]) ).
fof(f675,plain,
! [X0,X1] :
( v7_group_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_rmod_2(X1,sK0,X0)
| v3_vectsp_2(X1,sK0)
| k1_rmod_5(sK0,X0,u1_struct_0(X1)) = X1
| k1_rlvect_1(sK0) = k2_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f674,f164]) ).
fof(f676,plain,
! [X0,X1] :
( v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_rmod_2(X1,sK0,X0)
| v3_vectsp_2(X1,sK0)
| k1_rmod_5(sK0,X0,u1_struct_0(X1)) = X1
| k1_rlvect_1(sK0) = k2_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f675,f286]) ).
fof(f677,plain,
! [X0,X1] :
( ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_rmod_2(X1,sK0,X0)
| v3_vectsp_2(X1,sK0)
| k1_rmod_5(sK0,X0,u1_struct_0(X1)) = X1
| k1_rlvect_1(sK0) = k2_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f676,f285]) ).
fof(f678,plain,
! [X0,X1] :
( v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_rmod_2(X1,sK0,X0)
| v3_vectsp_2(X1,sK0)
| k1_rmod_5(sK0,X0,u1_struct_0(X1)) = X1
| k1_rlvect_1(sK0) = k2_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f677,f167]) ).
fof(f679,plain,
! [X0,X1] :
( ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_rmod_2(X1,sK0,X0)
| v3_vectsp_2(X1,sK0)
| k1_rmod_5(sK0,X0,u1_struct_0(X1)) = X1
| k1_rlvect_1(sK0) = k2_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f678,f284]) ).
fof(f680,plain,
! [X0,X1] :
( ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_rmod_2(X1,sK0,X0)
| v3_vectsp_2(X1,sK0)
| k1_rmod_5(sK0,X0,u1_struct_0(X1)) = X1
| k1_rlvect_1(sK0) = k2_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f679,f169]) ).
fof(f681,plain,
! [X0,X1] :
( v3_struct_0(sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_rmod_2(X1,sK0,X0)
| v3_vectsp_2(X1,sK0)
| k1_rmod_5(sK0,X0,u1_struct_0(X1)) = X1
| k1_rlvect_1(sK0) = k2_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f680,f170]) ).
fof(f682,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X0,sK0)
| ~ v5_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_rmod_2(X1,sK0,X0)
| v3_vectsp_2(X1,sK0)
| k1_rmod_5(sK0,X0,u1_struct_0(X1)) = X1
| k1_rlvect_1(sK0) = k2_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f681,f171]) ).
fof(f683,plain,
! [X0,X1] :
( ~ v5_vectsp_2(X0,sK0)
| ~ l1_vectsp_2(X0,sK0)
| ~ v6_rlvect_1(X0)
| v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_rmod_2(X1,sK0,X0)
| v3_vectsp_2(X1,sK0)
| k1_rmod_5(sK0,X0,u1_struct_0(X1)) = X1 ),
inference(forward_subsumption_resolution,[],[f682,f150]) ).
fof(f1005,plain,
( ~ l1_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| g1_vectsp_2(sK0,u1_struct_0(sK1),u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) = k2_rmod_2(sK0,sK1) ),
inference(resolution,[],[f651,f152]) ).
fof(f1010,plain,
( ~ v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| g1_vectsp_2(sK0,u1_struct_0(sK1),u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) = k2_rmod_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1005,f151]) ).
fof(f1013,plain,
( v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| g1_vectsp_2(sK0,u1_struct_0(sK1),u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) = k2_rmod_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1010,f154]) ).
fof(f1016,plain,
( ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| g1_vectsp_2(sK0,u1_struct_0(sK1),u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) = k2_rmod_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1013,f288]) ).
fof(f1019,plain,
( ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| g1_vectsp_2(sK0,u1_struct_0(sK1),u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) = k2_rmod_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1016,f156]) ).
fof(f1022,plain,
( v3_struct_0(sK1)
| g1_vectsp_2(sK0,u1_struct_0(sK1),u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) = k2_rmod_2(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f1019,f157]) ).
fof(f1025,plain,
g1_vectsp_2(sK0,u1_struct_0(sK1),u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) = k2_rmod_2(sK0,sK1),
inference(forward_subsumption_resolution,[],[f1022,f158]) ).
fof(f1028,plain,
g1_vectsp_2(sK0,sK2,u1_rlvect_1(sK1),u2_struct_0(sK1),u1_vectsp_2(sK0,sK1)) = k2_rmod_2(sK0,sK1),
inference(forward_demodulation,[],[f1025,f148]) ).
fof(f1031,plain,
( sK1 = k2_rmod_2(sK0,sK1)
| ~ spl27_21 ),
inference(forward_demodulation,[],[f1028,f536]) ).
fof(f1042,plain,
! [X0] :
( ~ l1_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(X0,sK0,sK1)
| v3_vectsp_2(X0,sK0)
| k1_rmod_5(sK0,sK1,u1_struct_0(X0)) = X0 ),
inference(resolution,[],[f683,f152]) ).
fof(f1047,plain,
! [X0] :
( ~ v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(X0,sK0,sK1)
| v3_vectsp_2(X0,sK0)
| k1_rmod_5(sK0,sK1,u1_struct_0(X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f1042,f151]) ).
fof(f1050,plain,
! [X0] :
( v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(X0,sK0,sK1)
| v3_vectsp_2(X0,sK0)
| k1_rmod_5(sK0,sK1,u1_struct_0(X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f1047,f154]) ).
fof(f1053,plain,
! [X0] :
( ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(X0,sK0,sK1)
| v3_vectsp_2(X0,sK0)
| k1_rmod_5(sK0,sK1,u1_struct_0(X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f1050,f288]) ).
fof(f1056,plain,
! [X0] :
( ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(X0,sK0,sK1)
| v3_vectsp_2(X0,sK0)
| k1_rmod_5(sK0,sK1,u1_struct_0(X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f1053,f156]) ).
fof(f1059,plain,
! [X0] :
( v3_struct_0(sK1)
| m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(X0,sK0,sK1)
| v3_vectsp_2(X0,sK0)
| k1_rmod_5(sK0,sK1,u1_struct_0(X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f1056,f157]) ).
fof(f1062,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(X0,sK0,sK1)
| v3_vectsp_2(X0,sK0)
| k1_rmod_5(sK0,sK1,u1_struct_0(X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f1059,f158]) ).
fof(f1065,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),k1_zfmisc_1(sK2))
| ~ m1_rmod_2(X0,sK0,sK1)
| v3_vectsp_2(X0,sK0)
| k1_rmod_5(sK0,sK1,u1_struct_0(X0)) = X0 ),
inference(forward_demodulation,[],[f1062,f148]) ).
fof(f1084,plain,
( m1_rmod_2(sK1,sK0,sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(superposition,[],[f302,f1031]) ).
fof(f1085,plain,
( m1_rmod_2(sK1,sK0,sK1)
| ~ v6_rlvect_1(sK1)
| v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1084,f152]) ).
fof(f1086,plain,
( m1_rmod_2(sK1,sK0,sK1)
| v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1085,f154]) ).
fof(f1087,plain,
( m1_rmod_2(sK1,sK0,sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1086,f288]) ).
fof(f1088,plain,
( m1_rmod_2(sK1,sK0,sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1087,f156]) ).
fof(f1089,plain,
( m1_rmod_2(sK1,sK0,sK1)
| v3_struct_0(sK1)
| ~ l3_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1088,f157]) ).
fof(f1090,plain,
( m1_rmod_2(sK1,sK0,sK1)
| ~ l3_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1089,f158]) ).
fof(f1091,plain,
( m1_rmod_2(sK1,sK0,sK1)
| v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1090,f159]) ).
fof(f1092,plain,
( m1_rmod_2(sK1,sK0,sK1)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1091,f287]) ).
fof(f1093,plain,
( m1_rmod_2(sK1,sK0,sK1)
| ~ v6_vectsp_1(sK0)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1092,f163]) ).
fof(f1094,plain,
( m1_rmod_2(sK1,sK0,sK1)
| v4_group_1(sK0)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1093,f164]) ).
fof(f1095,plain,
( m1_rmod_2(sK1,sK0,sK1)
| ~ v6_rlvect_1(sK0)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1094,f285]) ).
fof(f1096,plain,
( m1_rmod_2(sK1,sK0,sK1)
| v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1095,f167]) ).
fof(f1097,plain,
( m1_rmod_2(sK1,sK0,sK1)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1096,f284]) ).
fof(f1098,plain,
( m1_rmod_2(sK1,sK0,sK1)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1097,f169]) ).
fof(f1099,plain,
( m1_rmod_2(sK1,sK0,sK1)
| v3_struct_0(sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1098,f170]) ).
fof(f1100,plain,
( m1_rmod_2(sK1,sK0,sK1)
| ~ l1_vectsp_2(sK1,sK0)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1099,f171]) ).
fof(f1101,plain,
( m1_rmod_2(sK1,sK0,sK1)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f1100,f151]) ).
fof(f2318,plain,
( m1_subset_1(sK2,k1_zfmisc_1(sK2))
| ~ m1_rmod_2(sK1,sK0,sK1)
| v3_vectsp_2(sK1,sK0)
| sK1 = k1_rmod_5(sK0,sK1,sK2) ),
inference(superposition,[],[f1065,f148]) ).
fof(f2319,plain,
( ~ m1_rmod_2(sK1,sK0,sK1)
| v3_vectsp_2(sK1,sK0)
| sK1 = k1_rmod_5(sK0,sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f2318,f363]) ).
fof(f2320,plain,
( v3_vectsp_2(sK1,sK0)
| sK1 = k1_rmod_5(sK0,sK1,sK2)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f2319,f1101]) ).
fof(f2321,plain,
( sK1 = k1_rmod_5(sK0,sK1,sK2)
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f2320,f289]) ).
fof(f2322,plain,
( $false
| ~ spl27_21 ),
inference(forward_subsumption_resolution,[],[f2321,f149]) ).
fof(f2323,plain,
~ spl27_21,
inference(avatar_contradiction_clause,[],[f2322]) ).
cnf(s10,plain,
spl27_2,
inference(sat_conversion,[],[f525]) ).
cnf(s12,plain,
( ~ spl27_2
| spl27_21 ),
inference(sat_conversion,[],[f537]) ).
cnf(s86,plain,
~ spl27_21,
inference(sat_conversion,[],[f2323]) ).
cnf(s89,plain,
~ spl27_2,
inference(rat,[],[s12,s86]) ).
cnf(s90,plain,
$false,
inference(rat,[],[s10,s89]) ).
fof(f2324,plain,
$false,
inference(avatar_sat_refutation,[],[s90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG219+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n002.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:49:07 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.32 % (680387)Will run a generic schedule for satisfiability detection.
% 0.18/0.32 % (680392)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=369503867_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.32 % (680393)% WARNING: option uhcvi not known.
% 0.18/0.32 % (680393)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2972056294:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.32 % (680396)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3918083401:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.32 % (680394)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2743611500:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.32 % (680395)dis+10_1_sil=32000:sp=arity:random_seed=498384007:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.32 % TRYING [1]
% 0.18/0.32 % (680397)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1855355401:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.32 % (680398)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2435858414:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.32 % TRYING [2]
% 0.18/0.32 % TRYING [3]
% 0.18/0.32 % TRYING [4]
% 0.18/0.32 % (680393) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-680387-680393"...
% 0.18/0.32 % (680393)...printing done.
% 0.18/0.32 % (680393)Refutation found. Thanks to Tanya!
% 0.18/0.32 % SZS status Theorem for theBenchmark
% 0.18/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.32 % (680393)------------------------------
% 0.18/0.32 % (680393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.32 % (680393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.32 % (680393)CaDiCaL version: 2.1.3
% 0.18/0.32 % (680393)Termination reason: Refutation
% 0.18/0.32 % (680393)Time elapsed: 0.052 s
% 0.18/0.32 % (680393)Peak memory usage: 14 MB
% 0.18/0.32 % (680393)Instructions burned: 89 (million)
% 0.18/0.32 % (680387)Success in time 0.091 s
% 0.18/0.32 % Vampire exiting
%------------------------------------------------------------------------------