%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG220+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 09:19:24 AM UTC 2026
% Result : Theorem 13.38s 2.79s
% Output : Refutation 14.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 5
% Syntax : Number of formulae : 146 ( 29 unt; 0 def)
% Number of atoms : 1855 ( 50 equ)
% Maximal formula atoms : 29 ( 12 avg)
% Number of connectives : 3068 (1359 ~;1473 |; 214 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 15 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 : 260 ( 252 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3172,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(f3237,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(f3442,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(f3459,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(f3460,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(f3461,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)],[f3460]) ).
fof(f3479,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,[],[f3442]) ).
fof(f3480,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,[],[f3479]) ).
fof(f3507,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,[],[f3459]) ).
fof(f3508,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,[],[f3507]) ).
fof(f3509,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,[],[f3461]) ).
fof(f3510,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,[],[f3509]) ).
fof(f3538,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,[],[f3172]) ).
fof(f3539,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,[],[f3538]) ).
fof(f3551,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,[],[f3237]) ).
fof(f3552,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,[],[f3551]) ).
fof(f5181,plain,
( sK13 != k1_rmod_5(sK12,sK13,sK15)
& sK13 = k1_rmod_5(sK12,sK13,sK14)
& r1_tarski(sK14,sK15)
& m1_subset_1(sK15,k1_zfmisc_1(u1_struct_0(sK13)))
& m1_subset_1(sK14,k1_zfmisc_1(u1_struct_0(sK13)))
& ~ v3_struct_0(sK13)
& v3_rlvect_1(sK13)
& v4_rlvect_1(sK13)
& v5_rlvect_1(sK13)
& v6_rlvect_1(sK13)
& v3_vectsp_2(sK13,sK12)
& v5_vectsp_2(sK13,sK12)
& l1_vectsp_2(sK13,sK12)
& ~ v3_struct_0(sK12)
& v3_rlvect_1(sK12)
& v4_rlvect_1(sK12)
& v5_rlvect_1(sK12)
& v6_rlvect_1(sK12)
& v4_group_1(sK12)
& v7_group_1(sK12)
& v6_vectsp_1(sK12)
& v7_vectsp_1(sK12)
& v8_vectsp_1(sK12)
& ~ v10_vectsp_1(sK12)
& v2_vectsp_2(sK12)
& l3_vectsp_1(sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14),skolemize(X3,sK15)],[f3510]) ).
fof(f5701,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(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)
| m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
| 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,[],[f3480]) ).
fof(f5702,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(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)
| v3_vectsp_2(k1_rmod_5(X0,X1,X2),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,[],[f3480]) ).
fof(f5724,plain,
! [X2,X3,X0,X1] :
( ~ v2_vectsp_2(X0)
| ~ 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)
| m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f3508]) ).
fof(f5725,plain,
l3_vectsp_1(sK12),
inference(cnf_transformation,[],[f5181]) ).
fof(f5726,plain,
v2_vectsp_2(sK12),
inference(cnf_transformation,[],[f5181]) ).
fof(f5727,plain,
~ v10_vectsp_1(sK12),
inference(cnf_transformation,[],[f5181]) ).
fof(f5728,plain,
v8_vectsp_1(sK12),
inference(cnf_transformation,[],[f5181]) ).
fof(f5729,plain,
v7_vectsp_1(sK12),
inference(cnf_transformation,[],[f5181]) ).
fof(f5730,plain,
v6_vectsp_1(sK12),
inference(cnf_transformation,[],[f5181]) ).
fof(f5731,plain,
v7_group_1(sK12),
inference(cnf_transformation,[],[f5181]) ).
fof(f5732,plain,
v4_group_1(sK12),
inference(cnf_transformation,[],[f5181]) ).
fof(f5733,plain,
v6_rlvect_1(sK12),
inference(cnf_transformation,[],[f5181]) ).
fof(f5734,plain,
v5_rlvect_1(sK12),
inference(cnf_transformation,[],[f5181]) ).
fof(f5735,plain,
v4_rlvect_1(sK12),
inference(cnf_transformation,[],[f5181]) ).
fof(f5736,plain,
v3_rlvect_1(sK12),
inference(cnf_transformation,[],[f5181]) ).
fof(f5737,plain,
~ v3_struct_0(sK12),
inference(cnf_transformation,[],[f5181]) ).
fof(f5738,plain,
l1_vectsp_2(sK13,sK12),
inference(cnf_transformation,[],[f5181]) ).
fof(f5739,plain,
v5_vectsp_2(sK13,sK12),
inference(cnf_transformation,[],[f5181]) ).
fof(f5740,plain,
v3_vectsp_2(sK13,sK12),
inference(cnf_transformation,[],[f5181]) ).
fof(f5741,plain,
v6_rlvect_1(sK13),
inference(cnf_transformation,[],[f5181]) ).
fof(f5742,plain,
v5_rlvect_1(sK13),
inference(cnf_transformation,[],[f5181]) ).
fof(f5743,plain,
v4_rlvect_1(sK13),
inference(cnf_transformation,[],[f5181]) ).
fof(f5744,plain,
v3_rlvect_1(sK13),
inference(cnf_transformation,[],[f5181]) ).
fof(f5745,plain,
~ v3_struct_0(sK13),
inference(cnf_transformation,[],[f5181]) ).
fof(f5746,plain,
m1_subset_1(sK14,k1_zfmisc_1(u1_struct_0(sK13))),
inference(cnf_transformation,[],[f5181]) ).
fof(f5747,plain,
m1_subset_1(sK15,k1_zfmisc_1(u1_struct_0(sK13))),
inference(cnf_transformation,[],[f5181]) ).
fof(f5748,plain,
r1_tarski(sK14,sK15),
inference(cnf_transformation,[],[f5181]) ).
fof(f5749,plain,
sK13 = k1_rmod_5(sK12,sK13,sK14),
inference(cnf_transformation,[],[f5181]) ).
fof(f5750,plain,
sK13 != k1_rmod_5(sK12,sK13,sK15),
inference(cnf_transformation,[],[f5181]) ).
fof(f5804,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ 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(cnf_transformation,[],[f3539]) ).
fof(f5836,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f3552]) ).
fof(f5837,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(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)
| v5_vectsp_2(X2,X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) ),
inference(cnf_transformation,[],[f3552]) ).
fof(f5838,plain,
! [X2,X0,X1] :
( v6_rlvect_1(X2)
| ~ 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(cnf_transformation,[],[f3552]) ).
fof(f5839,plain,
! [X2,X0,X1] :
( v5_rlvect_1(X2)
| ~ 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(cnf_transformation,[],[f3552]) ).
fof(f5840,plain,
! [X2,X0,X1] :
( v4_rlvect_1(X2)
| ~ 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(cnf_transformation,[],[f3552]) ).
fof(f5841,plain,
! [X2,X0,X1] :
( v3_rlvect_1(X2)
| ~ 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(cnf_transformation,[],[f3552]) ).
fof(f5842,plain,
! [X2,X0,X1] :
( ~ v3_struct_0(X2)
| ~ 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(cnf_transformation,[],[f3552]) ).
fof(f8723,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ 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_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(forward_subsumption_resolution,[],[f5804,f5842]) ).
fof(f8737,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ 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)
| ~ 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(forward_subsumption_resolution,[],[f8723,f5841]) ).
fof(f8740,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ 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)
| ~ 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(forward_subsumption_resolution,[],[f8737,f5840]) ).
fof(f8743,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ 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)
| ~ 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(forward_subsumption_resolution,[],[f8740,f5839]) ).
fof(f8744,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ 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_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(forward_subsumption_resolution,[],[f8743,f5838]) ).
fof(f8745,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ 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_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(forward_subsumption_resolution,[],[f8744,f5837]) ).
fof(f8746,plain,
! [X2,X0,X1] :
( ~ v8_vectsp_1(X0)
| ~ 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_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)
| X1 = X2
| ~ l3_vectsp_1(X0) ),
inference(forward_subsumption_resolution,[],[f8745,f5836]) ).
fof(f8753,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(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,sK12)
| ~ l1_vectsp_2(X2,sK12)
| v3_struct_0(sK12)
| ~ v3_rlvect_1(sK12)
| ~ v4_rlvect_1(sK12)
| ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| ~ v8_vectsp_1(sK12)
| v10_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X2,X0),sK12,k1_rmod_5(sK12,X2,X1))
| ~ l3_vectsp_1(sK12) ),
inference(resolution,[],[f5726,f5724]) ).
fof(f8754,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(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,sK12)
| ~ l1_vectsp_2(X2,sK12)
| ~ v3_rlvect_1(sK12)
| ~ v4_rlvect_1(sK12)
| ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| ~ v8_vectsp_1(sK12)
| v10_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X2,X0),sK12,k1_rmod_5(sK12,X2,X1))
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8753,f5737]) ).
fof(f8755,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(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,sK12)
| ~ l1_vectsp_2(X2,sK12)
| ~ v4_rlvect_1(sK12)
| ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| ~ v8_vectsp_1(sK12)
| v10_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X2,X0),sK12,k1_rmod_5(sK12,X2,X1))
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8754,f5736]) ).
fof(f8756,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(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,sK12)
| ~ l1_vectsp_2(X2,sK12)
| ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| ~ v8_vectsp_1(sK12)
| v10_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X2,X0),sK12,k1_rmod_5(sK12,X2,X1))
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8755,f5735]) ).
fof(f8757,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(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,sK12)
| ~ l1_vectsp_2(X2,sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| ~ v8_vectsp_1(sK12)
| v10_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X2,X0),sK12,k1_rmod_5(sK12,X2,X1))
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8756,f5734]) ).
fof(f8758,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(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,sK12)
| ~ l1_vectsp_2(X2,sK12)
| ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| ~ v8_vectsp_1(sK12)
| v10_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X2,X0),sK12,k1_rmod_5(sK12,X2,X1))
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8757,f5733]) ).
fof(f8759,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(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,sK12)
| ~ l1_vectsp_2(X2,sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| ~ v8_vectsp_1(sK12)
| v10_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X2,X0),sK12,k1_rmod_5(sK12,X2,X1))
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8758,f5732]) ).
fof(f8760,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(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,sK12)
| ~ l1_vectsp_2(X2,sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| ~ v8_vectsp_1(sK12)
| v10_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X2,X0),sK12,k1_rmod_5(sK12,X2,X1))
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8759,f5731]) ).
fof(f8761,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(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,sK12)
| ~ l1_vectsp_2(X2,sK12)
| ~ v7_vectsp_1(sK12)
| ~ v8_vectsp_1(sK12)
| v10_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X2,X0),sK12,k1_rmod_5(sK12,X2,X1))
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8760,f5730]) ).
fof(f8762,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(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,sK12)
| ~ l1_vectsp_2(X2,sK12)
| ~ v8_vectsp_1(sK12)
| v10_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X2,X0),sK12,k1_rmod_5(sK12,X2,X1))
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8761,f5729]) ).
fof(f8763,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(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,sK12)
| ~ l1_vectsp_2(X2,sK12)
| v10_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X2,X0),sK12,k1_rmod_5(sK12,X2,X1))
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8762,f5728]) ).
fof(f8764,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(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,sK12)
| ~ l1_vectsp_2(X2,sK12)
| m1_rmod_2(k1_rmod_5(sK12,X2,X0),sK12,k1_rmod_5(sK12,X2,X1))
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8763,f5727]) ).
fof(f8765,plain,
! [X2,X0,X1] :
( ~ v5_vectsp_2(X2,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ r1_tarski(X0,X1)
| ~ l1_vectsp_2(X2,sK12)
| m1_rmod_2(k1_rmod_5(sK12,X2,X0),sK12,k1_rmod_5(sK12,X2,X1)) ),
inference(forward_subsumption_resolution,[],[f8764,f5725]) ).
fof(f8766,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK13)))
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ r1_tarski(X1,X0)
| ~ l1_vectsp_2(sK13,sK12)
| m1_rmod_2(k1_rmod_5(sK12,sK13,X1),sK12,k1_rmod_5(sK12,sK13,X0)) ),
inference(resolution,[],[f8765,f5739]) ).
fof(f8767,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK13)))
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ r1_tarski(X1,X0)
| ~ l1_vectsp_2(sK13,sK12)
| m1_rmod_2(k1_rmod_5(sK12,sK13,X1),sK12,k1_rmod_5(sK12,sK13,X0)) ),
inference(forward_subsumption_resolution,[],[f8766,f5745]) ).
fof(f8768,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK13)))
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ r1_tarski(X1,X0)
| ~ l1_vectsp_2(sK13,sK12)
| m1_rmod_2(k1_rmod_5(sK12,sK13,X1),sK12,k1_rmod_5(sK12,sK13,X0)) ),
inference(forward_subsumption_resolution,[],[f8767,f5744]) ).
fof(f8769,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK13)))
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ r1_tarski(X1,X0)
| ~ l1_vectsp_2(sK13,sK12)
| m1_rmod_2(k1_rmod_5(sK12,sK13,X1),sK12,k1_rmod_5(sK12,sK13,X0)) ),
inference(forward_subsumption_resolution,[],[f8768,f5743]) ).
fof(f8770,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK13)))
| ~ v6_rlvect_1(sK13)
| ~ r1_tarski(X1,X0)
| ~ l1_vectsp_2(sK13,sK12)
| m1_rmod_2(k1_rmod_5(sK12,sK13,X1),sK12,k1_rmod_5(sK12,sK13,X0)) ),
inference(forward_subsumption_resolution,[],[f8769,f5742]) ).
fof(f8771,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK13)))
| ~ r1_tarski(X1,X0)
| ~ l1_vectsp_2(sK13,sK12)
| m1_rmod_2(k1_rmod_5(sK12,sK13,X1),sK12,k1_rmod_5(sK12,sK13,X0)) ),
inference(forward_subsumption_resolution,[],[f8770,f5741]) ).
fof(f8772,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK13)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13)))
| m1_rmod_2(k1_rmod_5(sK12,sK13,X1),sK12,k1_rmod_5(sK12,sK13,X0)) ),
inference(forward_subsumption_resolution,[],[f8771,f5738]) ).
fof(f8773,plain,
( ~ m1_subset_1(sK14,k1_zfmisc_1(u1_struct_0(sK13)))
| ~ m1_subset_1(sK15,k1_zfmisc_1(u1_struct_0(sK13)))
| m1_rmod_2(k1_rmod_5(sK12,sK13,sK14),sK12,k1_rmod_5(sK12,sK13,sK15)) ),
inference(resolution,[],[f8772,f5748]) ).
fof(f8774,plain,
( ~ m1_subset_1(sK15,k1_zfmisc_1(u1_struct_0(sK13)))
| m1_rmod_2(k1_rmod_5(sK12,sK13,sK14),sK12,k1_rmod_5(sK12,sK13,sK15)) ),
inference(forward_subsumption_resolution,[],[f8773,f5746]) ).
fof(f8775,plain,
m1_rmod_2(k1_rmod_5(sK12,sK13,sK14),sK12,k1_rmod_5(sK12,sK13,sK15)),
inference(forward_subsumption_resolution,[],[f8774,f5747]) ).
fof(f8776,plain,
m1_rmod_2(sK13,sK12,k1_rmod_5(sK12,sK13,sK15)),
inference(forward_demodulation,[],[f8775,f5749]) ).
fof(f8777,plain,
! [X0,X1] :
( v3_struct_0(sK12)
| ~ v3_rlvect_1(sK12)
| ~ v4_rlvect_1(sK12)
| ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| v3_vectsp_2(k1_rmod_5(sK12,X0,X1),sK12)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(resolution,[],[f5728,f5702]) ).
fof(f8778,plain,
! [X0,X1] :
( v3_struct_0(sK12)
| ~ v3_rlvect_1(sK12)
| ~ v4_rlvect_1(sK12)
| ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X0,X1),sK12,X0)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(resolution,[],[f5728,f5701]) ).
fof(f8779,plain,
! [X0,X1] :
( ~ v3_rlvect_1(sK12)
| ~ v4_rlvect_1(sK12)
| ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X0,X1),sK12,X0)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8778,f5737]) ).
fof(f8780,plain,
! [X0,X1] :
( ~ v3_rlvect_1(sK12)
| ~ v4_rlvect_1(sK12)
| ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| v3_vectsp_2(k1_rmod_5(sK12,X0,X1),sK12)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8777,f5737]) ).
fof(f8781,plain,
! [X0,X1] :
( ~ v4_rlvect_1(sK12)
| ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X0,X1),sK12,X0)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8779,f5736]) ).
fof(f8782,plain,
! [X0,X1] :
( ~ v4_rlvect_1(sK12)
| ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| v3_vectsp_2(k1_rmod_5(sK12,X0,X1),sK12)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8780,f5736]) ).
fof(f8783,plain,
! [X0,X1] :
( ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X0,X1),sK12,X0)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8781,f5735]) ).
fof(f8784,plain,
! [X0,X1] :
( ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| v3_vectsp_2(k1_rmod_5(sK12,X0,X1),sK12)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8782,f5735]) ).
fof(f8785,plain,
! [X0,X1] :
( ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X0,X1),sK12,X0)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8783,f5734]) ).
fof(f8786,plain,
! [X0,X1] :
( ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| v3_vectsp_2(k1_rmod_5(sK12,X0,X1),sK12)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8784,f5734]) ).
fof(f8787,plain,
! [X0,X1] :
( ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X0,X1),sK12,X0)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8785,f5733]) ).
fof(f8788,plain,
! [X0,X1] :
( ~ v4_group_1(sK12)
| ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| v3_vectsp_2(k1_rmod_5(sK12,X0,X1),sK12)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8786,f5733]) ).
fof(f8789,plain,
! [X0,X1] :
( ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X0,X1),sK12,X0)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8787,f5732]) ).
fof(f8790,plain,
! [X0,X1] :
( ~ v7_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| v3_vectsp_2(k1_rmod_5(sK12,X0,X1),sK12)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8788,f5732]) ).
fof(f8791,plain,
! [X0,X1] :
( ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X0,X1),sK12,X0)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8789,f5731]) ).
fof(f8792,plain,
! [X0,X1] :
( ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| v3_vectsp_2(k1_rmod_5(sK12,X0,X1),sK12)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8790,f5731]) ).
fof(f8793,plain,
! [X0,X1] :
( ~ v7_vectsp_1(sK12)
| m1_rmod_2(k1_rmod_5(sK12,X0,X1),sK12,X0)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8791,f5730]) ).
fof(f8794,plain,
! [X0,X1] :
( ~ v7_vectsp_1(sK12)
| v3_vectsp_2(k1_rmod_5(sK12,X0,X1),sK12)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8792,f5730]) ).
fof(f8795,plain,
! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK12,X0,X1),sK12,X0)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8793,f5729]) ).
fof(f8796,plain,
! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK12,X0,X1),sK12)
| v10_vectsp_1(sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8794,f5729]) ).
fof(f8797,plain,
! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK12,X0,X1),sK12,X0)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8795,f5727]) ).
fof(f8798,plain,
! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK12,X0,X1),sK12)
| ~ v2_vectsp_2(sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8796,f5727]) ).
fof(f8799,plain,
! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK12,X0,X1),sK12,X0)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8797,f5726]) ).
fof(f8800,plain,
! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK12,X0,X1),sK12)
| ~ l3_vectsp_1(sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8798,f5726]) ).
fof(f8801,plain,
! [X0,X1] :
( ~ v5_vectsp_2(X0,sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| m1_rmod_2(k1_rmod_5(sK12,X0,X1),sK12,X0)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8799,f5725]) ).
fof(f8802,plain,
! [X0,X1] :
( v3_vectsp_2(k1_rmod_5(sK12,X0,X1),sK12)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f8800,f5725]) ).
fof(f8803,plain,
! [X0] :
( v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| m1_rmod_2(k1_rmod_5(sK12,sK13,X0),sK12,sK13)
| ~ l1_vectsp_2(sK13,sK12)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13))) ),
inference(resolution,[],[f8801,f5739]) ).
fof(f8804,plain,
! [X0] :
( ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| m1_rmod_2(k1_rmod_5(sK12,sK13,X0),sK12,sK13)
| ~ l1_vectsp_2(sK13,sK12)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13))) ),
inference(forward_subsumption_resolution,[],[f8803,f5745]) ).
fof(f8805,plain,
! [X0] :
( ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| m1_rmod_2(k1_rmod_5(sK12,sK13,X0),sK12,sK13)
| ~ l1_vectsp_2(sK13,sK12)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13))) ),
inference(forward_subsumption_resolution,[],[f8804,f5744]) ).
fof(f8806,plain,
! [X0] :
( ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| m1_rmod_2(k1_rmod_5(sK12,sK13,X0),sK12,sK13)
| ~ l1_vectsp_2(sK13,sK12)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13))) ),
inference(forward_subsumption_resolution,[],[f8805,f5743]) ).
fof(f8807,plain,
! [X0] :
( ~ v6_rlvect_1(sK13)
| m1_rmod_2(k1_rmod_5(sK12,sK13,X0),sK12,sK13)
| ~ l1_vectsp_2(sK13,sK12)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13))) ),
inference(forward_subsumption_resolution,[],[f8806,f5742]) ).
fof(f8808,plain,
! [X0] :
( m1_rmod_2(k1_rmod_5(sK12,sK13,X0),sK12,sK13)
| ~ l1_vectsp_2(sK13,sK12)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13))) ),
inference(forward_subsumption_resolution,[],[f8807,f5741]) ).
fof(f8809,plain,
! [X0] :
( m1_rmod_2(k1_rmod_5(sK12,sK13,X0),sK12,sK13)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13))) ),
inference(forward_subsumption_resolution,[],[f8808,f5738]) ).
fof(f8926,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK12,X1)
| ~ m1_rmod_2(X1,sK12,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK12)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ v3_vectsp_2(X1,sK12)
| v3_struct_0(sK12)
| ~ v3_rlvect_1(sK12)
| ~ v4_rlvect_1(sK12)
| ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| X0 = X1
| ~ l3_vectsp_1(sK12) ),
inference(resolution,[],[f8746,f5728]) ).
fof(f8927,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK12,X1)
| ~ m1_rmod_2(X1,sK12,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK12)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ v3_vectsp_2(X1,sK12)
| ~ v3_rlvect_1(sK12)
| ~ v4_rlvect_1(sK12)
| ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| X0 = X1
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8926,f5737]) ).
fof(f8928,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK12,X1)
| ~ m1_rmod_2(X1,sK12,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK12)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ v3_vectsp_2(X1,sK12)
| ~ v4_rlvect_1(sK12)
| ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| X0 = X1
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8927,f5736]) ).
fof(f8929,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK12,X1)
| ~ m1_rmod_2(X1,sK12,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK12)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ v3_vectsp_2(X1,sK12)
| ~ v5_rlvect_1(sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| X0 = X1
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8928,f5735]) ).
fof(f8930,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK12,X1)
| ~ m1_rmod_2(X1,sK12,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK12)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ v3_vectsp_2(X1,sK12)
| ~ v6_rlvect_1(sK12)
| ~ v4_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| X0 = X1
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8929,f5734]) ).
fof(f8931,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK12,X1)
| ~ m1_rmod_2(X1,sK12,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK12)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ v3_vectsp_2(X1,sK12)
| ~ v4_group_1(sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| X0 = X1
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8930,f5733]) ).
fof(f8932,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK12,X1)
| ~ m1_rmod_2(X1,sK12,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK12)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ v3_vectsp_2(X1,sK12)
| ~ v6_vectsp_1(sK12)
| ~ v7_vectsp_1(sK12)
| X0 = X1
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8931,f5732]) ).
fof(f8933,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK12,X1)
| ~ m1_rmod_2(X1,sK12,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK12)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ v3_vectsp_2(X1,sK12)
| ~ v7_vectsp_1(sK12)
| X0 = X1
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8932,f5730]) ).
fof(f8934,plain,
! [X0,X1] :
( ~ m1_rmod_2(X0,sK12,X1)
| ~ m1_rmod_2(X1,sK12,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK12)
| ~ v5_vectsp_2(X0,sK12)
| ~ l1_vectsp_2(X0,sK12)
| ~ v3_vectsp_2(X1,sK12)
| X0 = X1
| ~ l3_vectsp_1(sK12) ),
inference(forward_subsumption_resolution,[],[f8933,f5729]) ).
fof(f8935,plain,
! [X0,X1] :
( ~ v5_vectsp_2(X0,sK12)
| ~ m1_rmod_2(X1,sK12,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_vectsp_2(X0,sK12)
| ~ m1_rmod_2(X0,sK12,X1)
| ~ l1_vectsp_2(X0,sK12)
| ~ v3_vectsp_2(X1,sK12)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f8934,f5725]) ).
fof(f8936,plain,
! [X0] :
( ~ m1_rmod_2(X0,sK12,sK13)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v3_vectsp_2(sK13,sK12)
| ~ m1_rmod_2(sK13,sK12,X0)
| ~ l1_vectsp_2(sK13,sK12)
| ~ v3_vectsp_2(X0,sK12)
| sK13 = X0 ),
inference(resolution,[],[f8935,f5739]) ).
fof(f8937,plain,
! [X0] :
( ~ m1_rmod_2(X0,sK12,sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v3_vectsp_2(sK13,sK12)
| ~ m1_rmod_2(sK13,sK12,X0)
| ~ l1_vectsp_2(sK13,sK12)
| ~ v3_vectsp_2(X0,sK12)
| sK13 = X0 ),
inference(forward_subsumption_resolution,[],[f8936,f5745]) ).
fof(f8938,plain,
! [X0] :
( ~ m1_rmod_2(X0,sK12,sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v3_vectsp_2(sK13,sK12)
| ~ m1_rmod_2(sK13,sK12,X0)
| ~ l1_vectsp_2(sK13,sK12)
| ~ v3_vectsp_2(X0,sK12)
| sK13 = X0 ),
inference(forward_subsumption_resolution,[],[f8937,f5744]) ).
fof(f8939,plain,
! [X0] :
( ~ m1_rmod_2(X0,sK12,sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v3_vectsp_2(sK13,sK12)
| ~ m1_rmod_2(sK13,sK12,X0)
| ~ l1_vectsp_2(sK13,sK12)
| ~ v3_vectsp_2(X0,sK12)
| sK13 = X0 ),
inference(forward_subsumption_resolution,[],[f8938,f5743]) ).
fof(f8940,plain,
! [X0] :
( ~ m1_rmod_2(X0,sK12,sK13)
| ~ v6_rlvect_1(sK13)
| ~ v3_vectsp_2(sK13,sK12)
| ~ m1_rmod_2(sK13,sK12,X0)
| ~ l1_vectsp_2(sK13,sK12)
| ~ v3_vectsp_2(X0,sK12)
| sK13 = X0 ),
inference(forward_subsumption_resolution,[],[f8939,f5742]) ).
fof(f8941,plain,
! [X0] :
( ~ m1_rmod_2(X0,sK12,sK13)
| ~ v3_vectsp_2(sK13,sK12)
| ~ m1_rmod_2(sK13,sK12,X0)
| ~ l1_vectsp_2(sK13,sK12)
| ~ v3_vectsp_2(X0,sK12)
| sK13 = X0 ),
inference(forward_subsumption_resolution,[],[f8940,f5741]) ).
fof(f8942,plain,
! [X0] :
( ~ m1_rmod_2(X0,sK12,sK13)
| ~ m1_rmod_2(sK13,sK12,X0)
| ~ l1_vectsp_2(sK13,sK12)
| ~ v3_vectsp_2(X0,sK12)
| sK13 = X0 ),
inference(forward_subsumption_resolution,[],[f8941,f5740]) ).
fof(f8943,plain,
! [X0] :
( ~ v3_vectsp_2(X0,sK12)
| ~ m1_rmod_2(sK13,sK12,X0)
| ~ m1_rmod_2(X0,sK12,sK13)
| sK13 = X0 ),
inference(forward_subsumption_resolution,[],[f8942,f5738]) ).
fof(f8945,plain,
! [X0,X1] :
( ~ l1_vectsp_2(X0,sK12)
| ~ m1_rmod_2(k1_rmod_5(sK12,X0,X1),sK12,sK13)
| sK13 = k1_rmod_5(sK12,X0,X1)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X0,sK12)
| ~ m1_rmod_2(sK13,sK12,k1_rmod_5(sK12,X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(resolution,[],[f8943,f8802]) ).
fof(f9924,plain,
! [X0] :
( ~ m1_rmod_2(k1_rmod_5(sK12,sK13,X0),sK12,sK13)
| sK13 = k1_rmod_5(sK12,sK13,X0)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v5_vectsp_2(sK13,sK12)
| ~ m1_rmod_2(sK13,sK12,k1_rmod_5(sK12,sK13,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13))) ),
inference(resolution,[],[f8945,f5738]) ).
fof(f9925,plain,
! [X0] :
( sK13 = k1_rmod_5(sK12,sK13,X0)
| v3_struct_0(sK13)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v5_vectsp_2(sK13,sK12)
| ~ m1_rmod_2(sK13,sK12,k1_rmod_5(sK12,sK13,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13))) ),
inference(forward_subsumption_resolution,[],[f9924,f8809]) ).
fof(f9926,plain,
! [X0] :
( sK13 = k1_rmod_5(sK12,sK13,X0)
| ~ v3_rlvect_1(sK13)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v5_vectsp_2(sK13,sK12)
| ~ m1_rmod_2(sK13,sK12,k1_rmod_5(sK12,sK13,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13))) ),
inference(forward_subsumption_resolution,[],[f9925,f5745]) ).
fof(f9927,plain,
! [X0] :
( sK13 = k1_rmod_5(sK12,sK13,X0)
| ~ v4_rlvect_1(sK13)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v5_vectsp_2(sK13,sK12)
| ~ m1_rmod_2(sK13,sK12,k1_rmod_5(sK12,sK13,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13))) ),
inference(forward_subsumption_resolution,[],[f9926,f5744]) ).
fof(f9928,plain,
! [X0] :
( sK13 = k1_rmod_5(sK12,sK13,X0)
| ~ v5_rlvect_1(sK13)
| ~ v6_rlvect_1(sK13)
| ~ v5_vectsp_2(sK13,sK12)
| ~ m1_rmod_2(sK13,sK12,k1_rmod_5(sK12,sK13,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13))) ),
inference(forward_subsumption_resolution,[],[f9927,f5743]) ).
fof(f9929,plain,
! [X0] :
( sK13 = k1_rmod_5(sK12,sK13,X0)
| ~ v6_rlvect_1(sK13)
| ~ v5_vectsp_2(sK13,sK12)
| ~ m1_rmod_2(sK13,sK12,k1_rmod_5(sK12,sK13,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13))) ),
inference(forward_subsumption_resolution,[],[f9928,f5742]) ).
fof(f9930,plain,
! [X0] :
( sK13 = k1_rmod_5(sK12,sK13,X0)
| ~ v5_vectsp_2(sK13,sK12)
| ~ m1_rmod_2(sK13,sK12,k1_rmod_5(sK12,sK13,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13))) ),
inference(forward_subsumption_resolution,[],[f9929,f5741]) ).
fof(f9931,plain,
! [X0] :
( ~ m1_rmod_2(sK13,sK12,k1_rmod_5(sK12,sK13,X0))
| sK13 = k1_rmod_5(sK12,sK13,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK13))) ),
inference(forward_subsumption_resolution,[],[f9930,f5739]) ).
fof(f9932,plain,
$false,
inference(unit_resulting_resolution,[],[f9931,f5747,f5750,f8776]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG220+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n001.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 19:52:49 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.51/2.48 % (659730)Detected formulas, will run a generic FOF schedule.
% 11.51/2.48 % (659739)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=535211398:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 11.51/2.48 % (659739)Instruction limit reached!
% 11.51/2.48 % (659739)------------------------------
% 11.51/2.48 % (659739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.51/2.48 % (659739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.51/2.48 % (659739)CaDiCaL version: 2.1.3
% 11.51/2.48 % (659739)Termination reason: Instruction limit
% 11.51/2.48 % (659739)Termination phase: Saturation
% 11.51/2.48 % (659739)Time elapsed: 0.041 s
% 11.51/2.48 % (659739)Peak memory usage: 94 MB
% 11.51/2.48 % (659739)Instructions burned: 121 (million)
% 11.51/2.48 % (659736)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=1256291645:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 11.51/2.48 % (659735)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=4203265782:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 11.51/2.48 % (659738)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3770684488:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 11.51/2.48 % (659737)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=948211218:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 11.51/2.48 % (659741)dis-21_1_sil=8000:lcm=predicate:random_seed=1329016246:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 11.51/2.48 % (659740)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=204294345:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 11.51/2.48 % (659738)Instruction limit reached!
% 11.51/2.48 % (659738)------------------------------
% 11.51/2.48 % (659738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.51/2.48 % (659738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.51/2.48 % (659738)CaDiCaL version: 2.1.3
% 11.51/2.48 % (659738)Termination reason: Instruction limit
% 11.51/2.48 % (659738)Termination phase: Saturation
% 11.51/2.48 % (659738)Time elapsed: 0.069 s
% 11.51/2.48 % (659738)Peak memory usage: 93 MB
% 11.51/2.48 % (659738)Instructions burned: 110 (million)
% 11.51/2.48 % (659741)Instruction limit reached!
% 11.51/2.48 % (659741)------------------------------
% 11.51/2.48 % (659741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.51/2.48 % (659741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.51/2.48 % (659741)CaDiCaL version: 2.1.3
% 11.51/2.48 % (659741)Termination reason: Instruction limit
% 11.51/2.48 % (659741)Termination phase: Property scanning
% 11.51/2.48 % (659741)Time elapsed: 0.088 s
% 11.51/2.48 % (659741)Peak memory usage: 94 MB
% 11.51/2.48 % (659741)Instructions burned: 129 (million)
% 11.51/2.48 % (659740)Instruction limit reached!
% 11.51/2.48 % (659740)------------------------------
% 11.51/2.48 % (659740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.51/2.48 % (659740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.51/2.48 % (659740)CaDiCaL version: 2.1.3
% 11.51/2.48 % (659740)Termination reason: Instruction limit
% 11.51/2.48 % (659740)Termination phase: Preprocessing 3
% 11.51/2.48 % (659740)Time elapsed: 0.088 s
% 11.51/2.48 % (659740)Peak memory usage: 94 MB
% 11.51/2.48 % (659740)Instructions burned: 141 (million)
% 11.51/2.48 % (659743)lrs+10_1_sil=8000:sp=occurrence:random_seed=3881782745:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 11.51/2.48 % (659743)Instruction limit reached!
% 11.51/2.48 % (659743)------------------------------
% 11.51/2.48 % (659743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.51/2.48 % (659743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.51/2.48 % (659743)CaDiCaL version: 2.1.3
% 11.51/2.48 % (659743)Termination reason: Instruction limit
% 11.51/2.48 % (659743)Termination phase: Saturation
% 11.51/2.48 % (659743)Time elapsed: 0.095 s
% 11.51/2.48 % (659743)Peak memory usage: 96 MB
% 11.51/2.48 % (659743)Instructions burned: 287 (million)
% 11.51/2.48 % (659750)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2393193484:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 13.38/2.79 % (659751)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1945077857:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 13.38/2.79 % (659752)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=428048336:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 13.38/2.79 % (659750)Instruction limit reached!
% 13.38/2.79 % (659750)------------------------------
% 13.38/2.79 % (659750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.79 % (659750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.79 % (659750)CaDiCaL version: 2.1.3
% 13.38/2.79 % (659750)Termination reason: Instruction limit
% 13.38/2.79 % (659750)Termination phase: Saturation
% 13.38/2.79 % (659750)Time elapsed: 0.087 s
% 13.38/2.79 % (659750)Peak memory usage: 94 MB
% 13.38/2.79 % (659750)Instructions burned: 158 (million)
% 13.38/2.79 % (659755)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3256821511:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 13.38/2.79 % (659752)Instruction limit reached!
% 13.38/2.79 % (659752)------------------------------
% 13.38/2.79 % (659752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.79 % (659752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.79 % (659752)CaDiCaL version: 2.1.3
% 13.38/2.79 % (659752)Termination reason: Instruction limit
% 13.38/2.79 % (659752)Termination phase: Function definition elimination
% 13.38/2.79 % (659752)Time elapsed: 0.139 s
% 13.38/2.79 % (659752)Peak memory usage: 96 MB
% 13.38/2.79 % (659752)Instructions burned: 249 (million)
% 13.38/2.79 % (659755)Instruction limit reached!
% 13.38/2.79 % (659755)------------------------------
% 13.38/2.79 % (659755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.79 % (659755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.79 % (659755)CaDiCaL version: 2.1.3
% 13.38/2.79 % (659755)Termination reason: Instruction limit
% 13.38/2.79 % (659755)Termination phase: Saturation
% 13.38/2.79 % (659755)Time elapsed: 0.086 s
% 13.38/2.79 % (659755)Peak memory usage: 97 MB
% 13.38/2.79 % (659755)Instructions burned: 294 (million)
% 13.38/2.79 % (659751)Instruction limit reached!
% 13.38/2.79 % (659751)------------------------------
% 13.38/2.79 % (659751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.79 % (659751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.79 % (659751)CaDiCaL version: 2.1.3
% 13.38/2.79 % (659751)Termination reason: Instruction limit
% 13.38/2.79 % (659751)Termination phase: Saturation
% 13.38/2.79 % (659751)Time elapsed: 0.217 s
% 13.38/2.79 % (659751)Peak memory usage: 96 MB
% 13.38/2.79 % (659751)Instructions burned: 325 (million)
% 13.38/2.79 % (659758)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1663918089:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 13.38/2.79 % (659761)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=358746532:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 13.38/2.79 % (659760)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3746931888:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 13.38/2.79 % (659761)Instruction limit reached!
% 13.38/2.79 % (659761)------------------------------
% 13.38/2.79 % (659761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.79 % (659761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.79 % (659761)CaDiCaL version: 2.1.3
% 13.38/2.79 % (659761)Termination reason: Instruction limit
% 13.38/2.79 % (659761)Termination phase: Property scanning
% 13.38/2.79 % (659761)Time elapsed: 0.047 s
% 13.38/2.79 % (659761)Peak memory usage: 96 MB
% 13.38/2.79 % (659761)Instructions burned: 129 (million)
% 13.38/2.79 % (659760)Instruction limit reached!
% 13.38/2.79 % (659760)------------------------------
% 13.38/2.79 % (659760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.79 % (659760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.79 % (659760)CaDiCaL version: 2.1.3
% 13.38/2.79 % (659760)Termination reason: Instruction limit
% 13.38/2.79 % (659760)Termination phase: Saturation
% 13.38/2.79 % (659760)Time elapsed: 0.066 s
% 13.38/2.79 % (659760)Peak memory usage: 94 MB
% 13.38/2.79 % (659760)Instructions burned: 113 (million)
% 13.38/2.79 % (659763)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2505522275:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 13.38/2.79 % (659763)Instruction limit reached!
% 13.38/2.79 % (659763)------------------------------
% 13.38/2.79 % (659763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.79 % (659763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.79 % (659763)CaDiCaL version: 2.1.3
% 13.38/2.79 % (659763)Termination reason: Instruction limit
% 13.38/2.79 % (659763)Termination phase: Preprocessing 3
% 13.38/2.79 % (659763)Time elapsed: 0.059 s
% 13.38/2.79 % (659763)Peak memory usage: 91 MB
% 13.38/2.79 % (659763)Instructions burned: 115 (million)
% 13.38/2.79 % (659766)lrs+10_1_sil=8000:sp=occurrence:random_seed=3924566863:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 13.38/2.79 % (659767)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3028922463:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 13.38/2.79 % (659769)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1753342485:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 13.38/2.79 % (659767)Instruction limit reached!
% 13.38/2.79 % (659767)------------------------------
% 13.38/2.79 % (659767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.79 % (659767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.79 % (659767)CaDiCaL version: 2.1.3
% 13.38/2.79 % (659767)Termination reason: Instruction limit
% 13.38/2.79 % (659767)Termination phase: Saturation
% 13.38/2.79 % (659767)Time elapsed: 0.217 s
% 13.38/2.79 % (659767)Peak memory usage: 95 MB
% 13.38/2.79 % (659767)Instructions burned: 438 (million)
% 13.38/2.79 % (659766)Instruction limit reached!
% 13.38/2.79 % (659766)------------------------------
% 13.38/2.79 % (659766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.79 % (659766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.79 % (659766)CaDiCaL version: 2.1.3
% 13.38/2.79 % (659766)Termination reason: Instruction limit
% 13.38/2.79 % (659766)Termination phase: Saturation
% 13.38/2.79 % (659766)Time elapsed: 0.313 s
% 13.38/2.79 % (659766)Peak memory usage: 108 MB
% 13.38/2.79 % (659766)Instructions burned: 909 (million)
% 13.38/2.79 % (659773)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1048860217:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 13.38/2.79 % (659774)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=896541164:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 13.38/2.79 % (659773)Instruction limit reached!
% 13.38/2.79 % (659773)------------------------------
% 13.38/2.79 % (659773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.79 % (659773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.79 % (659773)CaDiCaL version: 2.1.3
% 13.38/2.79 % (659773)Termination reason: Instruction limit
% 13.38/2.79 % (659773)Termination phase: Saturation
% 13.38/2.79 % (659773)Time elapsed: 0.084 s
% 13.38/2.79 % (659773)Peak memory usage: 95 MB
% 13.38/2.79 % (659773)Instructions burned: 134 (million)
% 13.38/2.79 % (659774)Instruction limit reached!
% 13.38/2.79 % (659774)------------------------------
% 13.38/2.79 % (659774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.79 % (659774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.79 % (659774)CaDiCaL version: 2.1.3
% 13.38/2.79 % (659774)Termination reason: Instruction limit
% 13.38/2.79 % (659774)Termination phase: Saturation
% 13.38/2.79 % (659774)Time elapsed: 0.166 s
% 13.38/2.79 % (659774)Peak memory usage: 105 MB
% 13.38/2.79 % (659774)Instructions burned: 596 (million)
% 13.38/2.79 % (659777)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3640533775:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 13.38/2.79 % (659778)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2416030201:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 13.38/2.79 % (659778)Instruction limit reached!
% 13.38/2.79 % (659778)------------------------------
% 13.38/2.79 % (659778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.79 % (659778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.79 % (659778)CaDiCaL version: 2.1.3
% 13.38/2.79 % (659778)Termination reason: Instruction limit
% 13.38/2.79 % (659778)Termination phase: General splitting
% 13.38/2.79 % (659778)Time elapsed: 0.038 s
% 13.38/2.79 % (659778)Peak memory usage: 92 MB
% 13.38/2.79 % (659778)Instructions burned: 128 (million)
% 13.38/2.79 % (659736)First to succeed.
% 13.38/2.79 % (659736)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-659730"
% 13.38/2.79 % (659781)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1744647613:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 13.38/2.79 % (659781)Instruction limit reached!
% 13.38/2.79 % (659781)------------------------------
% 13.38/2.79 % (659781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/2.79 % (659781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.79 % (659781)CaDiCaL version: 2.1.3
% 13.38/2.79 % (659781)Termination reason: Instruction limit
% 13.38/2.79 % (659781)Termination phase: Preprocessing 2
% 13.38/2.79 % (659781)Time elapsed: 0.041 s
% 13.38/2.79 % (659781)Peak memory usage: 90 MB
% 13.38/2.79 % (659781)Instructions burned: 135 (million)
% 13.38/2.79 % (659736)Refutation found. Thanks to Tanya!
% 13.38/2.79 % SZS status Theorem for theBenchmark
% 13.38/2.79 % SZS output start Proof for theBenchmark
% See solution above
% 14.46/2.88 % (659736)------------------------------
% 14.46/2.88 % (659736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.46/2.88 % (659736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.46/2.88 % (659736)CaDiCaL version: 2.1.3
% 14.46/2.88 % (659736)Termination reason: Refutation
% 14.46/2.88 % (659736)Time elapsed: 1.506 s
% 14.46/2.88 % (659736)Peak memory usage: 168 MB
% 14.46/2.88 % (659736)Instructions burned: 2464 (million)
% 14.46/2.88 % (659736)------------------------------
% 14.46/2.88 % (659736)------------------------------
% 14.46/2.88 % (659730)Success in time 2.107 s
% 14.46/2.88 % Vampire exiting
%------------------------------------------------------------------------------