%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG222+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:19:25 AM UTC 2026
% Result : Theorem 3.03s 1.09s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 100
% Number of leaves : 8
% Syntax : Number of formulae : 151 ( 32 unt; 0 def)
% Number of atoms : 1725 ( 6 equ)
% Maximal formula atoms : 27 ( 11 avg)
% Number of connectives : 2940 (1366 ~;1372 |; 179 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 13 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 107 ( 99 !; 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)
& 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)))
=> m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,X3))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_rmod_5) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,X3))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f8,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0)
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_rmod_5) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_subset_1) ).
fof(f66,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f69,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/sandbox/benchmark/theBenchmark.p',t15_rmod_5) ).
fof(f70,axiom,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f72,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_rmod_2(X2,X0,X1)
=> ! [X3] :
( m1_rmod_2(X3,X0,X1)
=> ! [X4] :
( m1_rmod_2(X4,X0,X1)
=> ( ( m1_rmod_2(X2,X0,X3)
& m1_rmod_2(X2,X0,X4) )
=> m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_rmod_3) ).
fof(f85,plain,
! [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))) )
=> m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) ),
inference(pure_predicate_removal,[],[f11]) ).
fof(f89,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,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,[],[f2]) ).
fof(f90,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,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,[],[f89]) ).
fof(f95,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f66]) ).
fof(f96,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f95]) ).
fof(f99,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f100,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f99]) ).
fof(f103,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,[],[f69]) ).
fof(f104,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,[],[f103]) ).
fof(f105,plain,
! [X0,X1,X2] :
( 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,[],[f85]) ).
fof(f106,plain,
! [X0,X1,X2] :
( 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,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X2,X0,X4)
| ~ m1_rmod_2(X4,X0,X1) )
| ~ m1_rmod_2(X3,X0,X1) )
| ~ m1_rmod_2(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X2,X0,X4)
| ~ m1_rmod_2(X4,X0,X1) )
| ~ m1_rmod_2(X3,X0,X1) )
| ~ m1_rmod_2(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f107]) ).
fof(f126,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k5_subset_1(u1_struct_0(sK1),sK2,sK3)),sK0,k2_rmod_3(sK0,sK1,k1_rmod_5(sK0,sK1,sK2),k1_rmod_5(sK0,sK1,sK3)))
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
& ~ v3_struct_0(sK1)
& v3_rlvect_1(sK1)
& v4_rlvect_1(sK1)
& v5_rlvect_1(sK1)
& v6_rlvect_1(sK1)
& v5_vectsp_2(sK1,sK0)
& l1_vectsp_2(sK1,sK0)
& ~ v3_struct_0(sK0)
& v3_rlvect_1(sK0)
& v4_rlvect_1(sK0)
& v5_rlvect_1(sK0)
& v6_rlvect_1(sK0)
& v4_group_1(sK0)
& v7_group_1(sK0)
& v6_vectsp_1(sK0)
& v7_vectsp_1(sK0)
& v8_vectsp_1(sK0)
& ~ v10_vectsp_1(sK0)
& v2_vectsp_2(sK0)
& l3_vectsp_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f90]) ).
fof(f144,plain,
l3_vectsp_1(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f145,plain,
v2_vectsp_2(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f146,plain,
~ v10_vectsp_1(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f147,plain,
v8_vectsp_1(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f148,plain,
v7_vectsp_1(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f149,plain,
v6_vectsp_1(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f150,plain,
v7_group_1(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f151,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f152,plain,
v6_rlvect_1(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f153,plain,
v5_rlvect_1(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f154,plain,
v4_rlvect_1(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f155,plain,
v3_rlvect_1(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f156,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f157,plain,
l1_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f158,plain,
v5_vectsp_2(sK1,sK0),
inference(cnf_transformation,[],[f126]) ).
fof(f159,plain,
v6_rlvect_1(sK1),
inference(cnf_transformation,[],[f126]) ).
fof(f160,plain,
v5_rlvect_1(sK1),
inference(cnf_transformation,[],[f126]) ).
fof(f161,plain,
v4_rlvect_1(sK1),
inference(cnf_transformation,[],[f126]) ).
fof(f162,plain,
v3_rlvect_1(sK1),
inference(cnf_transformation,[],[f126]) ).
fof(f163,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f126]) ).
fof(f164,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f126]) ).
fof(f165,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f126]) ).
fof(f166,plain,
~ m1_rmod_2(k1_rmod_5(sK0,sK1,k5_subset_1(u1_struct_0(sK1),sK2,sK3)),sK0,k2_rmod_3(sK0,sK1,k1_rmod_5(sK0,sK1,sK2),k1_rmod_5(sK0,sK1,sK3))),
inference(cnf_transformation,[],[f126]) ).
fof(f170,plain,
! [X2,X0,X1] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f172,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f174,plain,
! [X2,X3,X0,X1] :
( 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(cnf_transformation,[],[f104]) ).
fof(f175,plain,
! [X2,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f106]) ).
fof(f176,plain,
! [X2,X3,X0,X1,X4] :
( m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X2,X0,X4)
| ~ m1_rmod_2(X4,X0,X1)
| ~ m1_rmod_2(X3,X0,X1)
| ~ m1_rmod_2(X2,X0,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f217,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f220,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f70]) ).
fof(f230,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X1),
inference(superposition,[],[f220,f217]) ).
fof(f246,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k2_rmod_3(sK0,sK1,k1_rmod_5(sK0,sK1,sK2),k1_rmod_5(sK0,sK1,sK3)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(superposition,[],[f166,f170]) ).
fof(f248,plain,
! [X2,X0,X1] :
( m1_subset_1(k3_xboole_0(X0,X1),k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(superposition,[],[f172,f170]) ).
fof(f249,plain,
! [X2,X0,X1] :
( m1_subset_1(k3_xboole_0(X0,X1),k1_zfmisc_1(X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(duplicate_literal_removal,[],[f248]) ).
fof(f252,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k2_rmod_3(sK0,sK1,k1_rmod_5(sK0,sK1,sK2),k1_rmod_5(sK0,sK1,sK3)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f246,f164]) ).
fof(f253,plain,
~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k2_rmod_3(sK0,sK1,k1_rmod_5(sK0,sK1,sK2),k1_rmod_5(sK0,sK1,sK3))),
inference(forward_subsumption_resolution,[],[f252,f165]) ).
fof(f364,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(resolution,[],[f176,f253]) ).
fof(f386,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f364,f163]) ).
fof(f388,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f386,f162]) ).
fof(f390,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f388,f161]) ).
fof(f392,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f390,f160]) ).
fof(f394,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f392,f159]) ).
fof(f396,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f394,f158]) ).
fof(f398,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f396,f157]) ).
fof(f400,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f398,f156]) ).
fof(f402,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f400,f155]) ).
fof(f404,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f402,f154]) ).
fof(f406,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f404,f153]) ).
fof(f408,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v4_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f406,f152]) ).
fof(f410,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f408,f151]) ).
fof(f412,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f410,f149]) ).
fof(f414,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ v8_vectsp_1(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f412,f148]) ).
fof(f416,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f414,f147]) ).
fof(f418,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK3))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f416,f144]) ).
fof(f427,plain,
( ~ r1_tarski(k3_xboole_0(sK2,sK3),sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(resolution,[],[f174,f418]) ).
fof(f444,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f427,f230]) ).
fof(f446,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f444,f165]) ).
fof(f448,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f446,f163]) ).
fof(f450,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f448,f162]) ).
fof(f452,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f450,f161]) ).
fof(f454,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f452,f160]) ).
fof(f456,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f454,f159]) ).
fof(f458,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f456,f158]) ).
fof(f460,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f458,f157]) ).
fof(f462,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f460,f156]) ).
fof(f464,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f462,f155]) ).
fof(f466,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f464,f154]) ).
fof(f468,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f466,f153]) ).
fof(f470,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f468,f152]) ).
fof(f472,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f470,f151]) ).
fof(f474,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f472,f150]) ).
fof(f476,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f474,f149]) ).
fof(f478,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f476,f148]) ).
fof(f480,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f478,f147]) ).
fof(f482,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f480,f146]) ).
fof(f484,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_vectsp_1(sK0)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f482,f145]) ).
fof(f485,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,k1_rmod_5(sK0,sK1,sK2))
| ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f484,f144]) ).
fof(f486,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ r1_tarski(k3_xboole_0(sK2,sK3),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(resolution,[],[f485,f174]) ).
fof(f487,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK2),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ r1_tarski(k3_xboole_0(sK2,sK3),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(duplicate_literal_removal,[],[f486]) ).
fof(f488,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,k3_xboole_0(sK2,sK3)),sK0,sK1)
| ~ r1_tarski(k3_xboole_0(sK2,sK3),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f487,f175]) ).
fof(f489,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ r1_tarski(k3_xboole_0(sK2,sK3),sK2)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f488,f175]) ).
fof(f490,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f489,f220]) ).
fof(f491,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f490,f164]) ).
fof(f492,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f491,f163]) ).
fof(f493,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f492,f162]) ).
fof(f494,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f493,f161]) ).
fof(f495,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f494,f160]) ).
fof(f496,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f495,f159]) ).
fof(f497,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ l1_vectsp_2(sK1,sK0)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f496,f158]) ).
fof(f498,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f497,f157]) ).
fof(f499,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f498,f156]) ).
fof(f500,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f499,f155]) ).
fof(f501,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f500,f154]) ).
fof(f502,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f501,f153]) ).
fof(f503,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f502,f152]) ).
fof(f504,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f503,f151]) ).
fof(f505,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f504,f150]) ).
fof(f506,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f505,f149]) ).
fof(f507,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f506,f148]) ).
fof(f508,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f507,f147]) ).
fof(f509,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f508,f146]) ).
fof(f510,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ l3_vectsp_1(sK0) ),
inference(forward_subsumption_resolution,[],[f509,f145]) ).
fof(f511,plain,
( ~ m1_rmod_2(k1_rmod_5(sK0,sK1,sK3),sK0,sK1)
| ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f510,f144]) ).
fof(f512,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK0)
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(resolution,[],[f511,f175]) ).
fof(f513,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v3_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f512,f156]) ).
fof(f514,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f513,f155]) ).
fof(f515,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_rlvect_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f514,f154]) ).
fof(f516,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_rlvect_1(sK0)
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f515,f153]) ).
fof(f517,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_group_1(sK0)
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f516,f152]) ).
fof(f518,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_group_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f517,f151]) ).
fof(f519,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f518,f150]) ).
fof(f520,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v7_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f519,f149]) ).
fof(f521,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v8_vectsp_1(sK0)
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f520,f148]) ).
fof(f522,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v10_vectsp_1(sK0)
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f521,f147]) ).
fof(f523,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v2_vectsp_2(sK0)
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f522,f146]) ).
fof(f524,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l3_vectsp_1(sK0)
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f523,f145]) ).
fof(f525,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| v3_struct_0(sK1)
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f524,f144]) ).
fof(f526,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v3_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f525,f163]) ).
fof(f527,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v4_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f526,f162]) ).
fof(f528,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_rlvect_1(sK1)
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f527,f161]) ).
fof(f529,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v6_rlvect_1(sK1)
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f528,f160]) ).
fof(f530,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v5_vectsp_2(sK1,sK0)
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f529,f159]) ).
fof(f531,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_vectsp_2(sK1,sK0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f530,f158]) ).
fof(f532,plain,
( ~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(forward_subsumption_resolution,[],[f531,f157]) ).
fof(f533,plain,
~ m1_subset_1(k3_xboole_0(sK2,sK3),k1_zfmisc_1(u1_struct_0(sK1))),
inference(forward_subsumption_resolution,[],[f532,f165]) ).
fof(f535,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(resolution,[],[f533,f249]) ).
fof(f536,plain,
~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(forward_subsumption_resolution,[],[f535,f164]) ).
fof(f537,plain,
$false,
inference(forward_subsumption_resolution,[],[f536,f165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG222+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:49:09 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.03/1.08 % (471887)Detected formulas, will run a generic FOF schedule.
% 3.03/1.08 % (471898)dis-21_1_sil=8000:lcm=predicate:random_seed=1429939652:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.03/1.08 % (471897)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2701545624:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.03/1.08 % (471892)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2767237554:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.03/1.08 % (471895)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2008987994:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.03/1.08 % (471893)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1842864817:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.03/1.08 % (471896)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1153044618:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.03/1.09 % (471894)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3529846759:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.03/1.09 % (471898)Instruction limit reached!
% 3.03/1.09 % (471898)------------------------------
% 3.03/1.09 % (471898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.09 % (471898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.09 % (471898)CaDiCaL version: 2.1.3
% 3.03/1.09 % (471898)Termination reason: Instruction limit
% 3.03/1.09 % (471898)Termination phase: Saturation
% 3.03/1.09 % (471898)Time elapsed: 0.041 s
% 3.03/1.09 % (471898)Peak memory usage: 90 MB
% 3.03/1.09 % (471898)Instructions burned: 131 (million)
% 3.03/1.09 % (471896)First to succeed.
% 3.03/1.09 % (471895)Refutation not found, incomplete strategy
% 3.03/1.09 % (471895)------------------------------
% 3.03/1.09 % (471895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.09 % (471895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.09 % (471895)CaDiCaL version: 2.1.3
% 3.03/1.09 % (471895)Termination reason: Refutation not found, incomplete strategy
% 3.03/1.09 % (471895)Time elapsed: 0.015 s
% 3.03/1.09 % (471895)Peak memory usage: 88 MB
% 3.03/1.09 % (471895)Instructions burned: 29 (million)
% 3.03/1.09 % (471896)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-471887"
% 3.03/1.09 % (471897)Also succeeded, but the first one will report.
% 3.03/1.09 % (471906)lrs+10_1_sil=8000:sp=occurrence:random_seed=3778569207:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.03/1.09 % (471906)Also succeeded, but the first one will report.
% 3.03/1.09 % (471895)------------------------------
% 3.03/1.09 % (471895)------------------------------
% 3.03/1.09 % (471896)Refutation found. Thanks to Tanya!
% 3.03/1.09 % SZS status Theorem for theBenchmark
% 3.03/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.18 % (471896)------------------------------
% 3.51/1.18 % (471896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.18 % (471896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.18 % (471896)CaDiCaL version: 2.1.3
% 3.51/1.18 % (471896)Termination reason: Refutation
% 3.51/1.18 % (471896)Time elapsed: 0.018 s
% 3.51/1.18 % (471896)Peak memory usage: 88 MB
% 3.51/1.18 % (471896)Instructions burned: 33 (million)
% 3.51/1.18 % (471896)------------------------------
% 3.51/1.18 % (471896)------------------------------
% 3.51/1.18 % (471887)Success in time 0.423 s
% 3.51/1.18 % Vampire exiting
%------------------------------------------------------------------------------