%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG220+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 : n015.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 09:29:50 AM UTC 2026
% Result : Theorem 0.19s 0.32s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 5
% Syntax : Number of formulae : 171 ( 42 unt; 0 def)
% Number of atoms : 2057 ( 42 equ)
% Maximal formula atoms : 29 ( 12 avg)
% Number of connectives : 3154 (1268 ~;1675 |; 189 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 14 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 287 ( 279 !; 8 ?)
% 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)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( k1_rmod_5(X0,X1,X2) = X1
& r1_tarski(X2,X3) )
=> k1_rmod_5(X0,X1,X3) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_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)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( k1_rmod_5(X0,X1,X2) = X1
& r1_tarski(X2,X3) )
=> k1_rmod_5(X0,X1,X3) = X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0)
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_rmod_5) ).
fof(f22,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0)
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_rmod_2(X2,X0,X1)
=> ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X0)
& l1_vectsp_2(X2,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_rmod_2) ).
fof(f61,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] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( r1_tarski(X2,X3)
=> m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_rmod_5) ).
fof(f64,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v3_vectsp_2(X1,X0)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v3_vectsp_2(X2,X0)
& v5_vectsp_2(X2,X0)
& l1_vectsp_2(X2,X0) )
=> ( ( m1_rmod_2(X2,X0,X1)
& m1_rmod_2(X1,X0,X2) )
=> X2 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_rmod_2) ).
fof(f75,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k1_rmod_5(X0,X1,X3) != X1
& k1_rmod_5(X0,X1,X2) = X1
& r1_tarski(X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(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(f76,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k1_rmod_5(X0,X1,X3) != X1
& k1_rmod_5(X0,X1,X2) = X1
& r1_tarski(X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(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,[],[f75]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(ennf_transformation,[],[f9]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(flattening,[],[f86]) ).
fof(f95,plain,
! [X0,X1] :
( ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X0)
& l1_vectsp_2(X2,X0) )
| ~ m1_rmod_2(X2,X0,X1) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X0)
& l1_vectsp_2(X2,X0) )
| ~ m1_rmod_2(X2,X0,X1) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) ),
inference(flattening,[],[f95]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(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)
| ~ 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,[],[f61]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(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)
| ~ 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,[],[f124]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X1
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X1
| ~ m1_rmod_2(X2,X0,X1)
| ~ m1_rmod_2(X1,X0,X2)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ l1_vectsp_2(X2,X0) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v3_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f129]) ).
fof(f137,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f76]) ).
fof(f138,plain,
r1_tarski(sK2,sK3),
inference(cnf_transformation,[],[f76]) ).
fof(f139,plain,
sK1 = k1_rmod_5(sK0,sK1,sK2),
inference(cnf_transformation,[],[f76]) ).
fof(f140,plain,
sK1 != k1_rmod_5(sK0,sK1,sK3),
inference(cnf_transformation,[],[f76]) ).
fof(f141,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f76]) ).
fof(f142,plain,
l1_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f143,plain,
v5_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f144,plain,
v3_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f145,plain,
v6_rlvect_1(sK1),
inference(cnf_transformation,[],[f76]) ).
fof(f146,plain,
v5_rlvect_1(sK1),
inference(cnf_transformation,[],[f76]) ).
fof(f147,plain,
v4_rlvect_1(sK1),
inference(cnf_transformation,[],[f76]) ).
fof(f148,plain,
v3_rlvect_1(sK1),
inference(cnf_transformation,[],[f76]) ).
fof(f149,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f76]) ).
fof(f150,plain,
l3_vectsp_1(sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f151,plain,
v2_vectsp_2(sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f152,plain,
~ v10_vectsp_1(sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f153,plain,
v8_vectsp_1(sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f154,plain,
v7_vectsp_1(sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f155,plain,
v6_vectsp_1(sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f156,plain,
v7_group_1(sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f157,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f158,plain,
v6_rlvect_1(sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f159,plain,
v5_rlvect_1(sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f160,plain,
v4_rlvect_1(sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f161,plain,
v3_rlvect_1(sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f162,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f76]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(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)
| ~ 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)
| m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(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)
| ~ 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)
| v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f180,plain,
! [X2,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(X2,X0,X1)
| l1_vectsp_2(X2,X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f181,plain,
! [X2,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(X2,X0,X1)
| v5_vectsp_2(X2,X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f182,plain,
! [X2,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(X2,X0,X1)
| v6_rlvect_1(X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f183,plain,
! [X2,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(X2,X0,X1)
| v5_rlvect_1(X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f184,plain,
! [X2,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(X2,X0,X1)
| v4_rlvect_1(X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f185,plain,
! [X2,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(X2,X0,X1)
| v3_rlvect_1(X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f186,plain,
! [X2,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(X2,X0,X1)
| ~ v3_struct_0(X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f260,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_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X2,X3)
| m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f263,plain,
! [X2,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)
| ~ v3_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| ~ v3_vectsp_2(X2,X0)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| v3_struct_0(X2)
| ~ m1_rmod_2(X1,X0,X2)
| ~ m1_rmod_2(X2,X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f130]) ).
fof(f271,plain,
v3_struct_0(sK0),
inference(consistent_polarity_flipping,[],[f162]) ).
fof(f272,plain,
~ v6_rlvect_1(sK0),
inference(consistent_polarity_flipping,[],[f158]) ).
fof(f273,plain,
~ v4_group_1(sK0),
inference(consistent_polarity_flipping,[],[f157]) ).
fof(f274,plain,
~ v7_group_1(sK0),
inference(consistent_polarity_flipping,[],[f156]) ).
fof(f275,plain,
~ v6_vectsp_1(sK0),
inference(consistent_polarity_flipping,[],[f155]) ).
fof(f276,plain,
~ v8_vectsp_1(sK0),
inference(consistent_polarity_flipping,[],[f153]) ).
fof(f277,plain,
~ v2_vectsp_2(sK0),
inference(consistent_polarity_flipping,[],[f151]) ).
fof(f278,plain,
v3_struct_0(sK1),
inference(consistent_polarity_flipping,[],[f149]) ).
fof(f279,plain,
~ v6_rlvect_1(sK1),
inference(consistent_polarity_flipping,[],[f145]) ).
fof(f280,plain,
~ v3_vectsp_2(sK1,sK0),
inference(consistent_polarity_flipping,[],[f144]) ).
fof(f281,plain,
~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(consistent_polarity_flipping,[],[f141]) ).
fof(f282,plain,
~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(consistent_polarity_flipping,[],[f137]) ).
fof(f289,plain,
! [X2,X0,X1] :
( ~ v7_vectsp_1(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)
| ~ l3_vectsp_1(X0)
| v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| v8_vectsp_1(X0)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| 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)
| ~ v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0) ),
inference(consistent_polarity_flipping,[],[f170]) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ v7_vectsp_1(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)
| ~ l3_vectsp_1(X0)
| v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| v8_vectsp_1(X0)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| 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)
| ~ m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) ),
inference(consistent_polarity_flipping,[],[f169]) ).
fof(f298,plain,
! [X2,X0,X1] :
( m1_rmod_2(X2,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)
| v3_struct_0(X2) ),
inference(consistent_polarity_flipping,[],[f186]) ).
fof(f299,plain,
! [X2,X0,X1] :
( m1_rmod_2(X2,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)
| v3_rlvect_1(X2) ),
inference(consistent_polarity_flipping,[],[f185]) ).
fof(f300,plain,
! [X2,X0,X1] :
( m1_rmod_2(X2,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)
| v4_rlvect_1(X2) ),
inference(consistent_polarity_flipping,[],[f184]) ).
fof(f301,plain,
! [X2,X0,X1] :
( m1_rmod_2(X2,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)
| v5_rlvect_1(X2) ),
inference(consistent_polarity_flipping,[],[f183]) ).
fof(f302,plain,
! [X2,X0,X1] :
( ~ v6_rlvect_1(X2)
| ~ 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(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0) ),
inference(consistent_polarity_flipping,[],[f182]) ).
fof(f303,plain,
! [X2,X0,X1] :
( ~ v7_vectsp_1(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)
| ~ l1_vectsp_2(X1,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(X2,X0,X1)
| v5_vectsp_2(X2,X0) ),
inference(consistent_polarity_flipping,[],[f181]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ v7_vectsp_1(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)
| ~ l1_vectsp_2(X1,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(X2,X0,X1)
| l1_vectsp_2(X2,X0) ),
inference(consistent_polarity_flipping,[],[f180]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( ~ v7_vectsp_1(X0)
| v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| v8_vectsp_1(X0)
| ~ l3_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_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r1_tarski(X2,X3)
| ~ m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3)) ),
inference(consistent_polarity_flipping,[],[f260]) ).
fof(f366,plain,
! [X2,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)
| v3_vectsp_2(X1,X0)
| v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| v3_vectsp_2(X2,X0)
| v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ v3_struct_0(X2)
| m1_rmod_2(X1,X0,X2)
| m1_rmod_2(X2,X0,X1)
| X1 = X2 ),
inference(consistent_polarity_flipping,[],[f263]) ).
fof(f638,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)
| ~ l3_vectsp_1(sK0)
| v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| 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)
| ~ v3_vectsp_2(k1_rmod_5(sK0,X0,X1),sK0) ),
inference(resolution,[],[f289,f154]) ).
fof(f639,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)
| v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| 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)
| ~ v3_vectsp_2(k1_rmod_5(sK0,X0,X1),sK0) ),
inference(forward_subsumption_resolution,[],[f638,f150]) ).
fof(f640,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)
| v10_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| 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)
| ~ v3_vectsp_2(k1_rmod_5(sK0,X0,X1),sK0) ),
inference(forward_subsumption_resolution,[],[f639,f277]) ).
fof(f641,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)
| v8_vectsp_1(sK0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| 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)
| ~ v3_vectsp_2(k1_rmod_5(sK0,X0,X1),sK0) ),
inference(forward_subsumption_resolution,[],[f640,f152]) ).
fof(f642,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| 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)
| ~ v3_vectsp_2(k1_rmod_5(sK0,X0,X1),sK0) ),
inference(forward_subsumption_resolution,[],[f641,f276]) ).
fof(f643,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| 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)
| ~ v3_vectsp_2(k1_rmod_5(sK0,X0,X1),sK0) ),
inference(forward_subsumption_resolution,[],[f642,f275]) ).
fof(f644,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(X1,k1_zfmisc_1(u1_struct_0(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)
| ~ v3_vectsp_2(k1_rmod_5(sK0,X0,X1),sK0) ),
inference(forward_subsumption_resolution,[],[f643,f274]) ).
fof(f645,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| ~ v3_vectsp_2(k1_rmod_5(sK0,X0,X1),sK0) ),
inference(forward_subsumption_resolution,[],[f644,f273]) ).
fof(f646,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| ~ v3_vectsp_2(k1_rmod_5(sK0,X0,X1),sK0) ),
inference(forward_subsumption_resolution,[],[f645,f272]) ).
fof(f647,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| ~ v3_vectsp_2(k1_rmod_5(sK0,X0,X1),sK0) ),
inference(forward_subsumption_resolution,[],[f646,f159]) ).
fof(f648,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| ~ v3_vectsp_2(k1_rmod_5(sK0,X0,X1),sK0) ),
inference(forward_subsumption_resolution,[],[f647,f160]) ).
fof(f649,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_struct_0(sK0)
| ~ v3_vectsp_2(k1_rmod_5(sK0,X0,X1),sK0) ),
inference(forward_subsumption_resolution,[],[f648,f161]) ).
fof(f650,plain,
! [X0,X1] :
( ~ v3_vectsp_2(k1_rmod_5(sK0,X0,X1),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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_vectsp_2(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f649,f271]) ).
fof(f651,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)
| ~ l3_vectsp_1(sK0)
| v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| 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)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,X0) ),
inference(resolution,[],[f290,f154]) ).
fof(f652,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)
| v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| 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)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,X0) ),
inference(forward_subsumption_resolution,[],[f651,f150]) ).
fof(f653,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)
| v10_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| 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)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,X0) ),
inference(forward_subsumption_resolution,[],[f652,f277]) ).
fof(f654,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)
| v8_vectsp_1(sK0)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| 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)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,X0) ),
inference(forward_subsumption_resolution,[],[f653,f152]) ).
fof(f655,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| 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)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,X0) ),
inference(forward_subsumption_resolution,[],[f654,f276]) ).
fof(f656,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| 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)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,X0) ),
inference(forward_subsumption_resolution,[],[f655,f275]) ).
fof(f657,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(X1,k1_zfmisc_1(u1_struct_0(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)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,X0) ),
inference(forward_subsumption_resolution,[],[f656,f274]) ).
fof(f658,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,X0) ),
inference(forward_subsumption_resolution,[],[f657,f273]) ).
fof(f659,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,X0) ),
inference(forward_subsumption_resolution,[],[f658,f272]) ).
fof(f660,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,X0) ),
inference(forward_subsumption_resolution,[],[f659,f159]) ).
fof(f661,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,X0) ),
inference(forward_subsumption_resolution,[],[f660,f160]) ).
fof(f662,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_struct_0(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,X0) ),
inference(forward_subsumption_resolution,[],[f661,f161]) ).
fof(f663,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,X0) ),
inference(forward_subsumption_resolution,[],[f662,f271]) ).
fof(f664,plain,
! [X2,X0,X1] :
( v2_vectsp_2(sK0)
| v10_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| ~ l3_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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,k1_rmod_5(sK0,X0,X2)) ),
inference(resolution,[],[f363,f154]) ).
fof(f665,plain,
! [X2,X0,X1] :
( v10_vectsp_1(sK0)
| v8_vectsp_1(sK0)
| ~ l3_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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,k1_rmod_5(sK0,X0,X2)) ),
inference(forward_subsumption_resolution,[],[f664,f277]) ).
fof(f666,plain,
! [X2,X0,X1] :
( v8_vectsp_1(sK0)
| ~ l3_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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,k1_rmod_5(sK0,X0,X2)) ),
inference(forward_subsumption_resolution,[],[f665,f152]) ).
fof(f667,plain,
! [X2,X0,X1] :
( ~ l3_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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,k1_rmod_5(sK0,X0,X2)) ),
inference(forward_subsumption_resolution,[],[f666,f276]) ).
fof(f668,plain,
! [X2,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,k1_rmod_5(sK0,X0,X2)) ),
inference(forward_subsumption_resolution,[],[f667,f150]) ).
fof(f669,plain,
! [X2,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,k1_rmod_5(sK0,X0,X2)) ),
inference(forward_subsumption_resolution,[],[f668,f275]) ).
fof(f670,plain,
! [X2,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,k1_rmod_5(sK0,X0,X2)) ),
inference(forward_subsumption_resolution,[],[f669,f274]) ).
fof(f671,plain,
! [X2,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,k1_rmod_5(sK0,X0,X2)) ),
inference(forward_subsumption_resolution,[],[f670,f273]) ).
fof(f672,plain,
! [X2,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,k1_rmod_5(sK0,X0,X2)) ),
inference(forward_subsumption_resolution,[],[f671,f272]) ).
fof(f673,plain,
! [X2,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,k1_rmod_5(sK0,X0,X2)) ),
inference(forward_subsumption_resolution,[],[f672,f159]) ).
fof(f674,plain,
! [X2,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,k1_rmod_5(sK0,X0,X2)) ),
inference(forward_subsumption_resolution,[],[f673,f160]) ).
fof(f675,plain,
! [X2,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,k1_rmod_5(sK0,X0,X2)) ),
inference(forward_subsumption_resolution,[],[f674,f161]) ).
fof(f676,plain,
! [X2,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(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ m1_rmod_2(k1_rmod_5(sK0,X0,X1),sK0,k1_rmod_5(sK0,X0,X2)) ),
inference(forward_subsumption_resolution,[],[f675,f271]) ).
fof(f677,plain,
! [X2,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)
| v3_vectsp_2(X1,X0)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| v3_vectsp_2(X2,X0)
| v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ v3_struct_0(X2)
| m1_rmod_2(X1,X0,X2)
| m1_rmod_2(X2,X0,X1)
| X1 = X2 ),
inference(forward_subsumption_resolution,[],[f366,f302]) ).
fof(f678,plain,
! [X2,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)
| v3_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| v3_vectsp_2(X2,X0)
| v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ v3_struct_0(X2)
| m1_rmod_2(X1,X0,X2)
| m1_rmod_2(X2,X0,X1)
| X1 = X2 ),
inference(forward_subsumption_resolution,[],[f677,f301]) ).
fof(f679,plain,
! [X2,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)
| v3_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| v3_vectsp_2(X2,X0)
| v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ v3_struct_0(X2)
| m1_rmod_2(X1,X0,X2)
| m1_rmod_2(X2,X0,X1)
| X1 = X2 ),
inference(forward_subsumption_resolution,[],[f678,f300]) ).
fof(f680,plain,
! [X2,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)
| v3_vectsp_2(X1,X0)
| ~ v3_struct_0(X1)
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| v3_vectsp_2(X2,X0)
| v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ v3_struct_0(X2)
| m1_rmod_2(X1,X0,X2)
| m1_rmod_2(X2,X0,X1)
| X1 = X2 ),
inference(forward_subsumption_resolution,[],[f679,f299]) ).
fof(f681,plain,
! [X2,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)
| v3_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| v3_vectsp_2(X2,X0)
| v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ v3_struct_0(X2)
| m1_rmod_2(X1,X0,X2)
| m1_rmod_2(X2,X0,X1)
| X1 = X2 ),
inference(forward_subsumption_resolution,[],[f680,f298]) ).
fof(f682,plain,
! [X2,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)
| ~ v5_vectsp_2(X1,X0)
| v3_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| v3_vectsp_2(X2,X0)
| v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ v3_struct_0(X2)
| m1_rmod_2(X1,X0,X2)
| m1_rmod_2(X2,X0,X1)
| X1 = X2 ),
inference(forward_subsumption_resolution,[],[f681,f304]) ).
fof(f683,plain,
! [X2,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)
| v3_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X2,X0)
| ~ v5_vectsp_2(X2,X0)
| v3_vectsp_2(X2,X0)
| v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ v3_struct_0(X2)
| m1_rmod_2(X1,X0,X2)
| m1_rmod_2(X2,X0,X1)
| X1 = X2 ),
inference(forward_subsumption_resolution,[],[f682,f303]) ).
fof(f684,plain,
! [X0,X1] :
( 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)
| v3_vectsp_2(X0,sK0)
| ~ l1_vectsp_2(X1,sK0)
| ~ v5_vectsp_2(X1,sK0)
| v3_vectsp_2(X1,sK0)
| v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| m1_rmod_2(X0,sK0,X1)
| m1_rmod_2(X1,sK0,X0)
| X0 = X1 ),
inference(resolution,[],[f683,f154]) ).
fof(f685,plain,
! [X0,X1] :
( ~ 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)
| v3_vectsp_2(X0,sK0)
| ~ l1_vectsp_2(X1,sK0)
| ~ v5_vectsp_2(X1,sK0)
| v3_vectsp_2(X1,sK0)
| v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| m1_rmod_2(X0,sK0,X1)
| m1_rmod_2(X1,sK0,X0)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f684,f276]) ).
fof(f686,plain,
! [X0,X1] :
( 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)
| v3_vectsp_2(X0,sK0)
| ~ l1_vectsp_2(X1,sK0)
| ~ v5_vectsp_2(X1,sK0)
| v3_vectsp_2(X1,sK0)
| v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| m1_rmod_2(X0,sK0,X1)
| m1_rmod_2(X1,sK0,X0)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f685,f150]) ).
fof(f687,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)
| v3_vectsp_2(X0,sK0)
| ~ l1_vectsp_2(X1,sK0)
| ~ v5_vectsp_2(X1,sK0)
| v3_vectsp_2(X1,sK0)
| v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| m1_rmod_2(X0,sK0,X1)
| m1_rmod_2(X1,sK0,X0)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f686,f275]) ).
fof(f688,plain,
! [X0,X1] :
( v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| v3_vectsp_2(X0,sK0)
| ~ l1_vectsp_2(X1,sK0)
| ~ v5_vectsp_2(X1,sK0)
| v3_vectsp_2(X1,sK0)
| v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| m1_rmod_2(X0,sK0,X1)
| m1_rmod_2(X1,sK0,X0)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f687,f273]) ).
fof(f689,plain,
! [X0,X1] :
( ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| v3_vectsp_2(X0,sK0)
| ~ l1_vectsp_2(X1,sK0)
| ~ v5_vectsp_2(X1,sK0)
| v3_vectsp_2(X1,sK0)
| v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| m1_rmod_2(X0,sK0,X1)
| m1_rmod_2(X1,sK0,X0)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f688,f272]) ).
fof(f690,plain,
! [X0,X1] :
( ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| v3_vectsp_2(X0,sK0)
| ~ l1_vectsp_2(X1,sK0)
| ~ v5_vectsp_2(X1,sK0)
| v3_vectsp_2(X1,sK0)
| v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| m1_rmod_2(X0,sK0,X1)
| m1_rmod_2(X1,sK0,X0)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f689,f159]) ).
fof(f691,plain,
! [X0,X1] :
( ~ v3_rlvect_1(sK0)
| ~ v3_struct_0(sK0)
| v3_vectsp_2(X0,sK0)
| ~ l1_vectsp_2(X1,sK0)
| ~ v5_vectsp_2(X1,sK0)
| v3_vectsp_2(X1,sK0)
| v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| m1_rmod_2(X0,sK0,X1)
| m1_rmod_2(X1,sK0,X0)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f690,f160]) ).
fof(f692,plain,
! [X0,X1] :
( ~ v3_struct_0(sK0)
| v3_vectsp_2(X0,sK0)
| ~ l1_vectsp_2(X1,sK0)
| ~ v5_vectsp_2(X1,sK0)
| v3_vectsp_2(X1,sK0)
| v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| m1_rmod_2(X0,sK0,X1)
| m1_rmod_2(X1,sK0,X0)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f691,f161]) ).
fof(f693,plain,
! [X0,X1] :
( ~ v5_vectsp_2(X1,sK0)
| ~ l1_vectsp_2(X1,sK0)
| v3_vectsp_2(X0,sK0)
| v3_vectsp_2(X1,sK0)
| v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v3_struct_0(X1)
| m1_rmod_2(X0,sK0,X1)
| m1_rmod_2(X1,sK0,X0)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f692,f271]) ).
fof(f748,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(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,X0),sK0,sK1) ),
inference(resolution,[],[f663,f143]) ).
fof(f753,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(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,X0),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f748,f142]) ).
fof(f756,plain,
! [X0] :
( ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,X0),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f753,f279]) ).
fof(f759,plain,
! [X0] :
( ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,X0),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f756,f146]) ).
fof(f762,plain,
! [X0] :
( ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,X0),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f759,f147]) ).
fof(f765,plain,
! [X0] :
( ~ v3_struct_0(sK1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,X0),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f762,f148]) ).
fof(f768,plain,
! [X0] :
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,X0),sK0,sK1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f765,f278]) ).
fof(f783,plain,
! [X0] :
( ~ l1_vectsp_2(sK1,sK0)
| v3_vectsp_2(X0,sK0)
| v3_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_rmod_2(X0,sK0,sK1)
| m1_rmod_2(sK1,sK0,X0)
| sK1 = X0 ),
inference(resolution,[],[f693,f143]) ).
fof(f788,plain,
! [X0] :
( v3_vectsp_2(X0,sK0)
| v3_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_rmod_2(X0,sK0,sK1)
| m1_rmod_2(sK1,sK0,X0)
| sK1 = X0 ),
inference(forward_subsumption_resolution,[],[f783,f142]) ).
fof(f791,plain,
! [X0] :
( v3_vectsp_2(X0,sK0)
| v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| m1_rmod_2(X0,sK0,sK1)
| m1_rmod_2(sK1,sK0,X0)
| sK1 = X0 ),
inference(forward_subsumption_resolution,[],[f788,f280]) ).
fof(f794,plain,
! [X0] :
( v3_vectsp_2(X0,sK0)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| m1_rmod_2(X0,sK0,sK1)
| m1_rmod_2(sK1,sK0,X0)
| sK1 = X0 ),
inference(forward_subsumption_resolution,[],[f791,f279]) ).
fof(f797,plain,
! [X0] :
( v3_vectsp_2(X0,sK0)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| m1_rmod_2(X0,sK0,sK1)
| m1_rmod_2(sK1,sK0,X0)
| sK1 = X0 ),
inference(forward_subsumption_resolution,[],[f794,f146]) ).
fof(f800,plain,
! [X0] :
( v3_vectsp_2(X0,sK0)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| m1_rmod_2(X0,sK0,sK1)
| m1_rmod_2(sK1,sK0,X0)
| sK1 = X0 ),
inference(forward_subsumption_resolution,[],[f797,f147]) ).
fof(f803,plain,
! [X0] :
( v3_vectsp_2(X0,sK0)
| ~ v3_struct_0(sK1)
| m1_rmod_2(X0,sK0,sK1)
| m1_rmod_2(sK1,sK0,X0)
| sK1 = X0 ),
inference(forward_subsumption_resolution,[],[f800,f148]) ).
fof(f806,plain,
! [X0] :
( m1_rmod_2(X0,sK0,sK1)
| m1_rmod_2(sK1,sK0,X0)
| v3_vectsp_2(X0,sK0)
| sK1 = X0 ),
inference(forward_subsumption_resolution,[],[f803,f278]) ).
fof(f821,plain,
! [X0,X1] :
( ~ 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(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(X0,X1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,X0),sK0,k1_rmod_5(sK0,sK1,X1)) ),
inference(resolution,[],[f676,f143]) ).
fof(f826,plain,
! [X0,X1] :
( v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(X0,X1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,X0),sK0,k1_rmod_5(sK0,sK1,X1)) ),
inference(forward_subsumption_resolution,[],[f821,f142]) ).
fof(f829,plain,
! [X0,X1] :
( ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(X0,X1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,X0),sK0,k1_rmod_5(sK0,sK1,X1)) ),
inference(forward_subsumption_resolution,[],[f826,f279]) ).
fof(f832,plain,
! [X0,X1] :
( ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(X0,X1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,X0),sK0,k1_rmod_5(sK0,sK1,X1)) ),
inference(forward_subsumption_resolution,[],[f829,f146]) ).
fof(f835,plain,
! [X0,X1] :
( ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(X0,X1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,X0),sK0,k1_rmod_5(sK0,sK1,X1)) ),
inference(forward_subsumption_resolution,[],[f832,f147]) ).
fof(f838,plain,
! [X0,X1] :
( ~ v3_struct_0(sK1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(X0,X1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,X0),sK0,k1_rmod_5(sK0,sK1,X1)) ),
inference(forward_subsumption_resolution,[],[f835,f148]) ).
fof(f841,plain,
! [X0,X1] :
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,X0),sK0,k1_rmod_5(sK0,sK1,X1))
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f838,f278]) ).
fof(f1357,plain,
! [X0] :
( m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| v3_vectsp_2(k1_rmod_5(sK0,sK1,X0),sK0)
| sK1 = k1_rmod_5(sK0,sK1,X0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(resolution,[],[f806,f768]) ).
fof(f1543,plain,
! [X0] :
( ~ m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0))
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ r1_tarski(sK2,X0)
| m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(superposition,[],[f841,f139]) ).
fof(f1545,plain,
! [X0] :
( ~ r1_tarski(sK2,X0)
| m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,X0)) ),
inference(forward_subsumption_resolution,[],[f1543,f281]) ).
fof(f2600,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,sK3)) ),
inference(resolution,[],[f1545,f138]) ).
fof(f2614,plain,
~ m1_rmod_2(sK1,sK0,k1_rmod_5(sK0,sK1,sK3)),
inference(forward_subsumption_resolution,[],[f2600,f282]) ).
fof(f3312,plain,
( v3_vectsp_2(k1_rmod_5(sK0,sK1,sK3),sK0)
| sK1 = k1_rmod_5(sK0,sK1,sK3)
| m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(resolution,[],[f2614,f1357]) ).
fof(f3319,plain,
( v3_vectsp_2(k1_rmod_5(sK0,sK1,sK3),sK0)
| m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f3312,f140]) ).
fof(f3320,plain,
v3_vectsp_2(k1_rmod_5(sK0,sK1,sK3),sK0),
inference(forward_subsumption_resolution,[],[f3319,f282]) ).
fof(f3321,plain,
( ~ 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)
| m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0) ),
inference(resolution,[],[f3320,f650]) ).
fof(f3322,plain,
( v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f3321,f143]) ).
fof(f3323,plain,
( ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f3322,f279]) ).
fof(f3324,plain,
( ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f3323,f146]) ).
fof(f3325,plain,
( ~ v3_rlvect_1(sK1)
| ~ v3_struct_0(sK1)
| m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f3324,f147]) ).
fof(f3326,plain,
( ~ v3_struct_0(sK1)
| m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f3325,f148]) ).
fof(f3327,plain,
( m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f3326,f278]) ).
fof(f3328,plain,
~ l1_vectsp_2(sK1,sK0),
inference(forward_subsumption_resolution,[],[f3327,f282]) ).
fof(f3329,plain,
$false,
inference(forward_subsumption_resolution,[],[f3328,f142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG220+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n015.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 19:50:17 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.19/0.32 % (2942054)Will run a generic schedule for satisfiability detection.
% 0.19/0.32 % (2942063)% WARNING: option uhcvi not known.
% 0.19/0.32 % (2942063)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3157397973:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.32 % (2942062)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3468409959_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.32 % (2942065)dis+10_1_sil=32000:sp=arity:random_seed=3594392384:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.32 % (2942064)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3817268697:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.32 % (2942066)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3473461907:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.32 % (2942067)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3648649982:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.32 % (2942068)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1001056120:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.32 % TRYING [1]
% 0.19/0.32 % TRYING [2]
% 0.19/0.32 % TRYING [3]
% 0.19/0.32 % (2942063) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2942054-2942063"...
% 0.19/0.32 % (2942063)...printing done.
% 0.19/0.32 % (2942063)Refutation found. Thanks to Tanya!
% 0.19/0.32 % SZS status Theorem for theBenchmark
% 0.19/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.32 % (2942063)------------------------------
% 0.19/0.32 % (2942063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.32 % (2942063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.32 % (2942063)CaDiCaL version: 2.1.3
% 0.19/0.32 % (2942063)Termination reason: Refutation
% 0.19/0.32 % (2942063)Time elapsed: 0.053 s
% 0.19/0.32 % (2942063)Peak memory usage: 13 MB
% 0.19/0.32 % (2942063)Instructions burned: 155 (million)
% 0.19/0.32 % (2942054)Success in time 0.085 s
% 0.19/0.32 % Vampire exiting
%------------------------------------------------------------------------------