%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP653+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 : n004.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 10:15:20 AM UTC 2026
% Result : Theorem 7.21s 2.11s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 17
% Syntax : Number of formulae : 165 ( 37 unt; 10 def)
% Number of atoms : 1067 ( 0 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 1471 ( 569 ~; 641 |; 215 &)
% ( 13 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 35 ( 34 usr; 11 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 92 ( 0 sgn 86 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5000,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v9_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v13_lattices(k11_group_4(X0))
& v14_lattices(k11_group_4(X0))
& v15_lattices(k11_group_4(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_group_4) ).
fof(f5122,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& l3_lattices(k11_group_4(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_group_4) ).
fof(f5615,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( m1_lattice4(X2,X0,X1)
<=> ( m4_vectsp_8(X2,X0,X1)
& m3_vectsp_8(X2,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_vectsp_8) ).
fof(f5627,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m4_vectsp_8(X2,X0,X1)
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m4_vectsp_8) ).
fof(f5677,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v2_funct_1(X2)
=> m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_latsubgr) ).
fof(f5678,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_latsubgr) ).
fof(f5679,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v2_funct_1(X2)
=> m1_lattice4(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t38_latsubgr) ).
fof(f5680,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v2_funct_1(X2)
=> m1_lattice4(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f5679]) ).
fof(f5695,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v9_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v13_lattices(k11_group_4(X0))
& v14_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f5000]) ).
fof(f5696,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v9_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& v13_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f5695]) ).
fof(f5697,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v9_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f5696]) ).
fof(f5698,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v8_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f5697]) ).
fof(f5699,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v7_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f5698]) ).
fof(f5700,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v6_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f5699]) ).
fof(f5701,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v5_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f5700]) ).
fof(f5702,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v4_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f5701]) ).
fof(f5703,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k11_group_4(X0))
& v3_lattices(k11_group_4(X0))
& v10_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f5702]) ).
fof(f5704,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k11_group_4(X0))
& v10_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f5703]) ).
fof(f5705,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& l3_lattices(k11_group_4(X0)) ) ),
inference(pure_predicate_removal,[],[f5122]) ).
fof(f5783,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
| ~ v2_funct_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f5677]) ).
fof(f5784,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
| ~ v2_funct_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f5783]) ).
fof(f5785,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f5678]) ).
fof(f5786,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f5785]) ).
fof(f5787,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ m1_lattice4(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
& v2_funct_1(X2)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f5680]) ).
fof(f5788,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ m1_lattice4(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
& v2_funct_1(X2)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f5787]) ).
fof(f5837,plain,
! [X0] :
( ( ~ v3_struct_0(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& l3_lattices(k11_group_4(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f5705]) ).
fof(f5838,plain,
! [X0] :
( ( ~ v3_struct_0(k11_group_4(X0))
& v10_lattices(k11_group_4(X0))
& l3_lattices(k11_group_4(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f5837]) ).
fof(f5841,plain,
! [X0] :
( ( ~ v3_struct_0(k11_group_4(X0))
& v10_lattices(k11_group_4(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f5704]) ).
fof(f5842,plain,
! [X0] :
( ( ~ v3_struct_0(k11_group_4(X0))
& v10_lattices(k11_group_4(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f5841]) ).
fof(f6226,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( m1_lattice4(X2,X0,X1)
<=> ( m4_vectsp_8(X2,X0,X1)
& m3_vectsp_8(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f5615]) ).
fof(f6227,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( m1_lattice4(X2,X0,X1)
<=> ( m4_vectsp_8(X2,X0,X1)
& m3_vectsp_8(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6226]) ).
fof(f6232,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ m4_vectsp_8(X2,X0,X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(ennf_transformation,[],[f5627]) ).
fof(f6233,plain,
! [X0,X1] :
( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ m4_vectsp_8(X2,X0,X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(flattening,[],[f6232]) ).
fof(f6261,plain,
( ~ m1_lattice4(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
& v2_funct_1(sK9)
& v1_funct_1(sK9)
& v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
& v1_group_6(sK9,sK7,sK8)
& m2_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
& ~ v3_struct_0(sK8)
& v3_group_1(sK8)
& v4_group_1(sK8)
& l1_group_1(sK8)
& ~ v3_struct_0(sK7)
& v3_group_1(sK7)
& v4_group_1(sK7)
& l1_group_1(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9)],[f5788]) ).
fof(f6405,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( m1_lattice4(X2,X0,X1)
| ~ m4_vectsp_8(X2,X0,X1)
| ~ m3_vectsp_8(X2,X0,X1) )
& ( ( m4_vectsp_8(X2,X0,X1)
& m3_vectsp_8(X2,X0,X1) )
| ~ m1_lattice4(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f6227]) ).
fof(f6406,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( m1_lattice4(X2,X0,X1)
| ~ m4_vectsp_8(X2,X0,X1)
| ~ m3_vectsp_8(X2,X0,X1) )
& ( ( m4_vectsp_8(X2,X0,X1)
& m3_vectsp_8(X2,X0,X1) )
| ~ m1_lattice4(X2,X0,X1) ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f6405]) ).
fof(f6479,plain,
! [X2,X0,X1] :
( m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
| ~ v2_funct_1(X2)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5784]) ).
fof(f6480,plain,
! [X2,X0,X1] :
( m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5786]) ).
fof(f6481,plain,
l1_group_1(sK7),
inference(cnf_transformation,[],[f6261]) ).
fof(f6482,plain,
v4_group_1(sK7),
inference(cnf_transformation,[],[f6261]) ).
fof(f6483,plain,
v3_group_1(sK7),
inference(cnf_transformation,[],[f6261]) ).
fof(f6484,plain,
~ v3_struct_0(sK7),
inference(cnf_transformation,[],[f6261]) ).
fof(f6485,plain,
l1_group_1(sK8),
inference(cnf_transformation,[],[f6261]) ).
fof(f6486,plain,
v4_group_1(sK8),
inference(cnf_transformation,[],[f6261]) ).
fof(f6487,plain,
v3_group_1(sK8),
inference(cnf_transformation,[],[f6261]) ).
fof(f6488,plain,
~ v3_struct_0(sK8),
inference(cnf_transformation,[],[f6261]) ).
fof(f6489,plain,
m2_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8)),
inference(cnf_transformation,[],[f6261]) ).
fof(f6490,plain,
v1_group_6(sK9,sK7,sK8),
inference(cnf_transformation,[],[f6261]) ).
fof(f6491,plain,
v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8)),
inference(cnf_transformation,[],[f6261]) ).
fof(f6492,plain,
v1_funct_1(sK9),
inference(cnf_transformation,[],[f6261]) ).
fof(f6493,plain,
v2_funct_1(sK9),
inference(cnf_transformation,[],[f6261]) ).
fof(f6494,plain,
~ m1_lattice4(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8)),
inference(cnf_transformation,[],[f6261]) ).
fof(f6585,plain,
! [X0] :
( l3_lattices(k11_group_4(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5838]) ).
fof(f6589,plain,
! [X0] :
( v10_lattices(k11_group_4(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5842]) ).
fof(f6590,plain,
! [X0] :
( ~ v3_struct_0(k11_group_4(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5842]) ).
fof(f7174,plain,
! [X2,X0,X1] :
( m1_lattice4(X2,X0,X1)
| ~ m4_vectsp_8(X2,X0,X1)
| ~ m3_vectsp_8(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f6406]) ).
fof(f7180,plain,
! [X2,X0,X1] :
( m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m4_vectsp_8(X2,X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(cnf_transformation,[],[f6233]) ).
fof(f7181,plain,
! [X2,X0,X1] :
( v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m4_vectsp_8(X2,X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(cnf_transformation,[],[f6233]) ).
fof(f7182,plain,
! [X2,X0,X1] :
( v1_funct_1(X2)
| ~ m4_vectsp_8(X2,X0,X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(cnf_transformation,[],[f6233]) ).
fof(f7351,definition,
( spl151_1
<=> v3_struct_0(sK7) ),
introduced(definition,[new_symbols(definition,[spl151_1])],[avatar_definition]) ).
fof(f7353,plain,
( ~ v3_struct_0(sK7)
| spl151_1 ),
inference(avatar_component_clause,[],[f7351]) ).
fof(f7354,plain,
~ spl151_1,
inference(avatar_split_clause,[],[f6484,f7351]) ).
fof(f7356,definition,
( spl151_2
<=> v3_struct_0(sK8) ),
introduced(definition,[new_symbols(definition,[spl151_2])],[avatar_definition]) ).
fof(f7358,plain,
( ~ v3_struct_0(sK8)
| spl151_2 ),
inference(avatar_component_clause,[],[f7356]) ).
fof(f7359,plain,
~ spl151_2,
inference(avatar_split_clause,[],[f6488,f7356]) ).
fof(f7361,definition,
( spl151_3
<=> m1_lattice4(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8)) ),
introduced(definition,[new_symbols(definition,[spl151_3])],[avatar_definition]) ).
fof(f7363,plain,
( ~ m1_lattice4(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| spl151_3 ),
inference(avatar_component_clause,[],[f7361]) ).
fof(f7364,plain,
~ spl151_3,
inference(avatar_split_clause,[],[f6494,f7361]) ).
fof(f7366,definition,
( spl151_4
<=> l1_group_1(sK7) ),
introduced(definition,[new_symbols(definition,[spl151_4])],[avatar_definition]) ).
fof(f7368,plain,
( l1_group_1(sK7)
| ~ spl151_4 ),
inference(avatar_component_clause,[],[f7366]) ).
fof(f7369,plain,
spl151_4,
inference(avatar_split_clause,[],[f6481,f7366]) ).
fof(f7371,definition,
( spl151_5
<=> l1_group_1(sK8) ),
introduced(definition,[new_symbols(definition,[spl151_5])],[avatar_definition]) ).
fof(f7373,plain,
( l1_group_1(sK8)
| ~ spl151_5 ),
inference(avatar_component_clause,[],[f7371]) ).
fof(f7374,plain,
spl151_5,
inference(avatar_split_clause,[],[f6485,f7371]) ).
fof(f7456,plain,
( l3_lattices(k11_group_4(sK7))
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ spl151_4 ),
inference(resolution,[],[f7368,f6585]) ).
fof(f7460,plain,
( v10_lattices(k11_group_4(sK7))
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ spl151_4 ),
inference(resolution,[],[f7368,f6589]) ).
fof(f7461,plain,
( ~ v3_struct_0(k11_group_4(sK7))
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ spl151_4 ),
inference(resolution,[],[f7368,f6590]) ).
fof(f7937,plain,
( ~ v3_struct_0(k11_group_4(sK7))
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| spl151_1
| ~ spl151_4 ),
inference(forward_subsumption_resolution,[],[f7461,f7353]) ).
fof(f7938,plain,
( v10_lattices(k11_group_4(sK7))
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| spl151_1
| ~ spl151_4 ),
inference(forward_subsumption_resolution,[],[f7460,f7353]) ).
fof(f7942,plain,
( l3_lattices(k11_group_4(sK7))
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| spl151_1
| ~ spl151_4 ),
inference(forward_subsumption_resolution,[],[f7456,f7353]) ).
fof(f8232,plain,
( ~ v3_struct_0(k11_group_4(sK7))
| ~ v4_group_1(sK7)
| spl151_1
| ~ spl151_4 ),
inference(forward_subsumption_resolution,[],[f7937,f6483]) ).
fof(f8233,plain,
( v10_lattices(k11_group_4(sK7))
| ~ v4_group_1(sK7)
| spl151_1
| ~ spl151_4 ),
inference(forward_subsumption_resolution,[],[f7938,f6483]) ).
fof(f8237,plain,
( l3_lattices(k11_group_4(sK7))
| ~ v4_group_1(sK7)
| spl151_1
| ~ spl151_4 ),
inference(forward_subsumption_resolution,[],[f7942,f6483]) ).
fof(f8515,plain,
( ~ v3_struct_0(k11_group_4(sK7))
| spl151_1
| ~ spl151_4 ),
inference(forward_subsumption_resolution,[],[f8232,f6482]) ).
fof(f8516,plain,
( v10_lattices(k11_group_4(sK7))
| spl151_1
| ~ spl151_4 ),
inference(forward_subsumption_resolution,[],[f8233,f6482]) ).
fof(f8520,plain,
( l3_lattices(k11_group_4(sK7))
| spl151_1
| ~ spl151_4 ),
inference(forward_subsumption_resolution,[],[f8237,f6482]) ).
fof(f8653,plain,
( ~ m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v1_funct_1(k3_latsubgr(sK7,sK8,sK9))
| ~ v1_funct_2(k3_latsubgr(sK7,sK8,sK9),u1_struct_0(k11_group_4(sK7)),u1_struct_0(k11_group_4(sK8)))
| ~ m2_relset_1(k3_latsubgr(sK7,sK8,sK9),u1_struct_0(k11_group_4(sK7)),u1_struct_0(k11_group_4(sK8)))
| v3_struct_0(k11_group_4(sK8))
| ~ v10_lattices(k11_group_4(sK8))
| ~ l3_lattices(k11_group_4(sK8))
| v3_struct_0(k11_group_4(sK7))
| ~ v10_lattices(k11_group_4(sK7))
| ~ l3_lattices(k11_group_4(sK7))
| spl151_3 ),
inference(resolution,[],[f7363,f7174]) ).
fof(f8664,plain,
( ~ m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v1_funct_2(k3_latsubgr(sK7,sK8,sK9),u1_struct_0(k11_group_4(sK7)),u1_struct_0(k11_group_4(sK8)))
| ~ m2_relset_1(k3_latsubgr(sK7,sK8,sK9),u1_struct_0(k11_group_4(sK7)),u1_struct_0(k11_group_4(sK8)))
| v3_struct_0(k11_group_4(sK8))
| ~ v10_lattices(k11_group_4(sK8))
| ~ l3_lattices(k11_group_4(sK8))
| v3_struct_0(k11_group_4(sK7))
| ~ v10_lattices(k11_group_4(sK7))
| ~ l3_lattices(k11_group_4(sK7))
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f8653,f7182]) ).
fof(f8673,plain,
( ~ m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ m2_relset_1(k3_latsubgr(sK7,sK8,sK9),u1_struct_0(k11_group_4(sK7)),u1_struct_0(k11_group_4(sK8)))
| v3_struct_0(k11_group_4(sK8))
| ~ v10_lattices(k11_group_4(sK8))
| ~ l3_lattices(k11_group_4(sK8))
| v3_struct_0(k11_group_4(sK7))
| ~ v10_lattices(k11_group_4(sK7))
| ~ l3_lattices(k11_group_4(sK7))
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f8664,f7181]) ).
fof(f8682,plain,
( ~ m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| v3_struct_0(k11_group_4(sK8))
| ~ v10_lattices(k11_group_4(sK8))
| ~ l3_lattices(k11_group_4(sK8))
| v3_struct_0(k11_group_4(sK7))
| ~ v10_lattices(k11_group_4(sK7))
| ~ l3_lattices(k11_group_4(sK7))
| spl151_3 ),
inference(forward_subsumption_resolution,[],[f8673,f7180]) ).
fof(f8691,plain,
( ~ m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| v3_struct_0(k11_group_4(sK8))
| ~ v10_lattices(k11_group_4(sK8))
| ~ l3_lattices(k11_group_4(sK8))
| ~ v10_lattices(k11_group_4(sK7))
| ~ l3_lattices(k11_group_4(sK7))
| spl151_1
| spl151_3
| ~ spl151_4 ),
inference(forward_subsumption_resolution,[],[f8682,f8515]) ).
fof(f8700,plain,
( ~ m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| v3_struct_0(k11_group_4(sK8))
| ~ v10_lattices(k11_group_4(sK8))
| ~ l3_lattices(k11_group_4(sK8))
| ~ l3_lattices(k11_group_4(sK7))
| spl151_1
| spl151_3
| ~ spl151_4 ),
inference(forward_subsumption_resolution,[],[f8691,f8516]) ).
fof(f8709,plain,
( ~ m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| v3_struct_0(k11_group_4(sK8))
| ~ v10_lattices(k11_group_4(sK8))
| ~ l3_lattices(k11_group_4(sK8))
| spl151_1
| spl151_3
| ~ spl151_4 ),
inference(forward_subsumption_resolution,[],[f8700,f8520]) ).
fof(f8830,plain,
( l3_lattices(k11_group_4(sK8))
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ spl151_5 ),
inference(resolution,[],[f7373,f6585]) ).
fof(f8834,plain,
( v10_lattices(k11_group_4(sK8))
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ spl151_5 ),
inference(resolution,[],[f7373,f6589]) ).
fof(f8835,plain,
( ~ v3_struct_0(k11_group_4(sK8))
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ spl151_5 ),
inference(resolution,[],[f7373,f6590]) ).
fof(f9311,plain,
( ~ v3_struct_0(k11_group_4(sK8))
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| spl151_2
| ~ spl151_5 ),
inference(forward_subsumption_resolution,[],[f8835,f7358]) ).
fof(f9312,plain,
( v10_lattices(k11_group_4(sK8))
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| spl151_2
| ~ spl151_5 ),
inference(forward_subsumption_resolution,[],[f8834,f7358]) ).
fof(f9316,plain,
( l3_lattices(k11_group_4(sK8))
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| spl151_2
| ~ spl151_5 ),
inference(forward_subsumption_resolution,[],[f8830,f7358]) ).
fof(f9606,plain,
( ~ v3_struct_0(k11_group_4(sK8))
| ~ v4_group_1(sK8)
| spl151_2
| ~ spl151_5 ),
inference(forward_subsumption_resolution,[],[f9311,f6487]) ).
fof(f9607,plain,
( v10_lattices(k11_group_4(sK8))
| ~ v4_group_1(sK8)
| spl151_2
| ~ spl151_5 ),
inference(forward_subsumption_resolution,[],[f9312,f6487]) ).
fof(f9611,plain,
( l3_lattices(k11_group_4(sK8))
| ~ v4_group_1(sK8)
| spl151_2
| ~ spl151_5 ),
inference(forward_subsumption_resolution,[],[f9316,f6487]) ).
fof(f9889,plain,
( ~ v3_struct_0(k11_group_4(sK8))
| spl151_2
| ~ spl151_5 ),
inference(forward_subsumption_resolution,[],[f9606,f6486]) ).
fof(f9890,plain,
( v10_lattices(k11_group_4(sK8))
| spl151_2
| ~ spl151_5 ),
inference(forward_subsumption_resolution,[],[f9607,f6486]) ).
fof(f9894,plain,
( l3_lattices(k11_group_4(sK8))
| spl151_2
| ~ spl151_5 ),
inference(forward_subsumption_resolution,[],[f9611,f6486]) ).
fof(f9981,plain,
( ~ m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v10_lattices(k11_group_4(sK8))
| ~ l3_lattices(k11_group_4(sK8))
| spl151_1
| spl151_2
| spl151_3
| ~ spl151_4
| ~ spl151_5 ),
inference(backward_subsumption_resolution,[],[f8709,f9889]) ).
fof(f10006,plain,
( ~ m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ l3_lattices(k11_group_4(sK8))
| spl151_1
| spl151_2
| spl151_3
| ~ spl151_4
| ~ spl151_5 ),
inference(forward_subsumption_resolution,[],[f9981,f9890]) ).
fof(f10024,plain,
( ~ m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| spl151_1
| spl151_2
| spl151_3
| ~ spl151_4
| ~ spl151_5 ),
inference(forward_subsumption_resolution,[],[f10006,f9894]) ).
fof(f10045,definition,
( spl151_6
<=> v3_group_1(sK7) ),
introduced(definition,[new_symbols(definition,[spl151_6])],[avatar_definition]) ).
fof(f10047,plain,
( v3_group_1(sK7)
| ~ spl151_6 ),
inference(avatar_component_clause,[],[f10045]) ).
fof(f10048,plain,
spl151_6,
inference(avatar_split_clause,[],[f6483,f10045]) ).
fof(f10050,definition,
( spl151_7
<=> v3_group_1(sK8) ),
introduced(definition,[new_symbols(definition,[spl151_7])],[avatar_definition]) ).
fof(f10052,plain,
( v3_group_1(sK8)
| ~ spl151_7 ),
inference(avatar_component_clause,[],[f10050]) ).
fof(f10053,plain,
spl151_7,
inference(avatar_split_clause,[],[f6487,f10050]) ).
fof(f10055,definition,
( spl151_8
<=> v4_group_1(sK7) ),
introduced(definition,[new_symbols(definition,[spl151_8])],[avatar_definition]) ).
fof(f10057,plain,
( v4_group_1(sK7)
| ~ spl151_8 ),
inference(avatar_component_clause,[],[f10055]) ).
fof(f10058,plain,
spl151_8,
inference(avatar_split_clause,[],[f6482,f10055]) ).
fof(f10449,definition,
( spl151_9
<=> v4_group_1(sK8) ),
introduced(definition,[new_symbols(definition,[spl151_9])],[avatar_definition]) ).
fof(f10451,plain,
( v4_group_1(sK8)
| ~ spl151_9 ),
inference(avatar_component_clause,[],[f10449]) ).
fof(f10452,plain,
spl151_9,
inference(avatar_split_clause,[],[f6486,f10449]) ).
fof(f12721,definition,
( spl151_10
<=> m2_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8)) ),
introduced(definition,[new_symbols(definition,[spl151_10])],[avatar_definition]) ).
fof(f12723,plain,
( m2_relset_1(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ spl151_10 ),
inference(avatar_component_clause,[],[f12721]) ).
fof(f12724,plain,
spl151_10,
inference(avatar_split_clause,[],[f6489,f12721]) ).
fof(f12739,plain,
( m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v2_funct_1(sK9)
| ~ v1_funct_1(sK9)
| ~ v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_group_6(sK9,sK7,sK8)
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| ~ spl151_10 ),
inference(resolution,[],[f12723,f6479]) ).
fof(f12740,plain,
( m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v1_funct_1(sK9)
| ~ v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_group_6(sK9,sK7,sK8)
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| ~ spl151_10 ),
inference(resolution,[],[f12723,f6480]) ).
fof(f12849,plain,
( m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_group_6(sK9,sK7,sK8)
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f12740,f6492]) ).
fof(f12850,plain,
( m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v1_funct_1(sK9)
| ~ v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_group_6(sK9,sK7,sK8)
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f12739,f6493]) ).
fof(f12907,plain,
( m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v1_group_6(sK9,sK7,sK8)
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f12849,f6491]) ).
fof(f12908,plain,
( m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v1_funct_2(sK9,u1_struct_0(sK7),u1_struct_0(sK8))
| ~ v1_group_6(sK9,sK7,sK8)
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f12850,f6492]) ).
fof(f12940,plain,
( m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f12907,f6490]) ).
fof(f12941,plain,
( m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v1_group_6(sK9,sK7,sK8)
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f12908,f6491]) ).
fof(f12973,plain,
( m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl151_2
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f12940,f7358]) ).
fof(f12974,plain,
( m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f12941,f6490]) ).
fof(f12993,plain,
( m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl151_2
| ~ spl151_7
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f12973,f10052]) ).
fof(f12994,plain,
( m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl151_2
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f12974,f7358]) ).
fof(f13013,plain,
( m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ l1_group_1(sK8)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl151_2
| ~ spl151_7
| ~ spl151_9
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f12993,f10451]) ).
fof(f13014,plain,
( m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl151_2
| ~ spl151_7
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f12994,f10052]) ).
fof(f13033,plain,
( m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl151_2
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f13013,f7373]) ).
fof(f13034,plain,
( m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ l1_group_1(sK8)
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl151_2
| ~ spl151_7
| ~ spl151_9
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f13014,f10451]) ).
fof(f13053,plain,
( m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl151_1
| spl151_2
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f13033,f7353]) ).
fof(f13054,plain,
( m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| v3_struct_0(sK7)
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl151_2
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f13034,f7373]) ).
fof(f13073,plain,
( m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl151_1
| spl151_2
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7
| ~ spl151_9
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f13053,f10047]) ).
fof(f13074,plain,
( m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v3_group_1(sK7)
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl151_1
| spl151_2
| ~ spl151_5
| ~ spl151_7
| ~ spl151_9
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f13054,f7353]) ).
fof(f13093,plain,
( m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ l1_group_1(sK7)
| spl151_1
| spl151_2
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7
| ~ spl151_8
| ~ spl151_9
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f13073,f10057]) ).
fof(f13094,plain,
( m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ v4_group_1(sK7)
| ~ l1_group_1(sK7)
| spl151_1
| spl151_2
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7
| ~ spl151_9
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f13074,f10047]) ).
fof(f13112,plain,
( m4_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| spl151_1
| spl151_2
| ~ spl151_4
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7
| ~ spl151_8
| ~ spl151_9
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f13093,f7368]) ).
fof(f13113,plain,
( m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| ~ l1_group_1(sK7)
| spl151_1
| spl151_2
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7
| ~ spl151_8
| ~ spl151_9
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f13094,f10057]) ).
fof(f13128,plain,
( ~ m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| spl151_1
| spl151_2
| spl151_3
| ~ spl151_4
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7
| ~ spl151_8
| ~ spl151_9
| ~ spl151_10 ),
inference(backward_subsumption_resolution,[],[f10024,f13112]) ).
fof(f13129,plain,
( m3_vectsp_8(k3_latsubgr(sK7,sK8,sK9),k11_group_4(sK7),k11_group_4(sK8))
| spl151_1
| spl151_2
| ~ spl151_4
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7
| ~ spl151_8
| ~ spl151_9
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f13113,f7368]) ).
fof(f13137,plain,
( $false
| spl151_1
| spl151_2
| spl151_3
| ~ spl151_4
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7
| ~ spl151_8
| ~ spl151_9
| ~ spl151_10 ),
inference(forward_subsumption_resolution,[],[f13129,f13128]) ).
fof(f13138,plain,
( spl151_1
| spl151_2
| spl151_3
| ~ spl151_4
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7
| ~ spl151_8
| ~ spl151_9
| ~ spl151_10 ),
inference(avatar_contradiction_clause,[],[f13137]) ).
cnf(s1,plain,
~ spl151_1,
inference(sat_conversion,[],[f7354]) ).
cnf(s2,plain,
~ spl151_2,
inference(sat_conversion,[],[f7359]) ).
cnf(s3,plain,
~ spl151_3,
inference(sat_conversion,[],[f7364]) ).
cnf(s4,plain,
spl151_4,
inference(sat_conversion,[],[f7369]) ).
cnf(s5,plain,
spl151_5,
inference(sat_conversion,[],[f7374]) ).
cnf(s6,plain,
spl151_6,
inference(sat_conversion,[],[f10048]) ).
cnf(s7,plain,
spl151_7,
inference(sat_conversion,[],[f10053]) ).
cnf(s8,plain,
spl151_8,
inference(sat_conversion,[],[f10058]) ).
cnf(s9,plain,
spl151_9,
inference(sat_conversion,[],[f10452]) ).
cnf(s10,plain,
spl151_10,
inference(sat_conversion,[],[f12724]) ).
cnf(s11,plain,
( spl151_1
| spl151_2
| spl151_3
| ~ spl151_4
| ~ spl151_5
| ~ spl151_6
| ~ spl151_7
| ~ spl151_8
| ~ spl151_9
| ~ spl151_10 ),
inference(sat_conversion,[],[f13138]) ).
cnf(s12,plain,
spl151_1,
inference(rat,[],[s11,s10,s9,s8,s7,s6,s5,s4,s3,s2]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s1,s12]) ).
fof(f13150,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP653+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n004.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 10:30:22 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 7.21/2.11 % (3310569)Detected formulas, will run a generic FOF schedule.
% 7.21/2.11 % (3310576)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=2339885836:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 7.21/2.11 % (3310578)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3950257061:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 7.21/2.11 % (3310577)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1235722613:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 7.21/2.11 % (3310579)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3638063807:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 7.21/2.11 % (3310580)dis-21_1_sil=8000:lcm=predicate:random_seed=208770212:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 7.21/2.11 % (3310574)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=2527701141:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 7.21/2.11 % (3310575)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=2085630869:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 7.21/2.11 % (3310577)Instruction limit reached!
% 7.21/2.11 % (3310577)------------------------------
% 7.21/2.11 % (3310577)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.11 % (3310577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.11 % (3310577)CaDiCaL version: 2.1.3
% 7.21/2.11 % (3310577)Termination reason: Instruction limit
% 7.21/2.11 % (3310577)Termination phase: Saturation
% 7.21/2.11 % (3310577)Time elapsed: 0.068 s
% 7.21/2.11 % (3310577)Peak memory usage: 95 MB
% 7.21/2.11 % (3310577)Instructions burned: 109 (million)
% 7.21/2.11 % (3310578)Instruction limit reached!
% 7.21/2.11 % (3310578)------------------------------
% 7.21/2.11 % (3310578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.11 % (3310578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.11 % (3310578)CaDiCaL version: 2.1.3
% 7.21/2.11 % (3310578)Termination reason: Instruction limit
% 7.21/2.11 % (3310578)Termination phase: Saturation
% 7.21/2.11 % (3310578)Time elapsed: 0.070 s
% 7.21/2.11 % (3310578)Peak memory usage: 96 MB
% 7.21/2.11 % (3310578)Instructions burned: 119 (million)
% 7.21/2.11 % (3310579)Instruction limit reached!
% 7.21/2.11 % (3310579)------------------------------
% 7.21/2.11 % (3310579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.11 % (3310579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.11 % (3310579)CaDiCaL version: 2.1.3
% 7.21/2.11 % (3310579)Termination reason: Instruction limit
% 7.21/2.11 % (3310579)Termination phase: Unused predicate definition removal
% 7.21/2.11 % (3310579)Time elapsed: 0.084 s
% 7.21/2.11 % (3310579)Peak memory usage: 93 MB
% 7.21/2.11 % (3310579)Instructions burned: 139 (million)
% 7.21/2.11 % (3310580)Instruction limit reached!
% 7.21/2.11 % (3310580)------------------------------
% 7.21/2.11 % (3310580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.11 % (3310580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.11 % (3310580)CaDiCaL version: 2.1.3
% 7.21/2.11 % (3310580)Termination reason: Instruction limit
% 7.21/2.11 % (3310580)Termination phase: Preprocessing 3
% 7.21/2.11 % (3310580)Time elapsed: 0.098 s
% 7.21/2.11 % (3310580)Peak memory usage: 96 MB
% 7.21/2.11 % (3310580)Instructions burned: 129 (million)
% 7.21/2.11 % (3310589)lrs+10_1_sil=32000:urr=on:br=off:random_seed=369388272:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 7.21/2.11 % (3310588)lrs+10_1_sil=8000:sp=occurrence:random_seed=3622309329:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 7.21/2.11 % (3310590)lrs+1011_1_sil=32000:sp=occurrence:random_seed=530402176:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.21/2.11 % (3310591)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=1942221904:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 7.21/2.11 % (3310589)Instruction limit reached!
% 7.21/2.11 % (3310589)------------------------------
% 7.21/2.11 % (3310589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.11 % (3310589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.11 % (3310589)CaDiCaL version: 2.1.3
% 7.21/2.11 % (3310589)Termination reason: Instruction limit
% 7.21/2.11 % (3310589)Termination phase: Saturation
% 7.21/2.11 % (3310589)Time elapsed: 0.088 s
% 7.21/2.11 % (3310589)Peak memory usage: 96 MB
% 7.21/2.11 % (3310589)Instructions burned: 157 (million)
% 7.21/2.11 % (3310588)Instruction limit reached!
% 7.21/2.11 % (3310588)------------------------------
% 7.21/2.11 % (3310588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.11 % (3310588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.11 % (3310588)CaDiCaL version: 2.1.3
% 7.21/2.11 % (3310588)Termination reason: Instruction limit
% 7.21/2.11 % (3310588)Termination phase: Saturation
% 7.21/2.11 % (3310588)Time elapsed: 0.180 s
% 7.21/2.11 % (3310588)Peak memory usage: 99 MB
% 7.21/2.11 % (3310588)Instructions burned: 285 (million)
% 7.21/2.11 % (3310591)Instruction limit reached!
% 7.21/2.11 % (3310591)------------------------------
% 7.21/2.11 % (3310591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.11 % (3310591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.11 % (3310591)CaDiCaL version: 2.1.3
% 7.21/2.11 % (3310591)Termination reason: Instruction limit
% 7.21/2.11 % (3310591)Termination phase: Preprocessing 3
% 7.21/2.11 % (3310591)Time elapsed: 0.154 s
% 7.21/2.11 % (3310591)Peak memory usage: 100 MB
% 7.21/2.11 % (3310591)Instructions burned: 249 (million)
% 7.21/2.11 % (3310590)Instruction limit reached!
% 7.21/2.11 % (3310590)------------------------------
% 7.21/2.11 % (3310590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.11 % (3310590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.11 % (3310590)CaDiCaL version: 2.1.3
% 7.21/2.11 % (3310590)Termination reason: Instruction limit
% 7.21/2.11 % (3310590)Termination phase: Saturation
% 7.21/2.11 % (3310590)Time elapsed: 0.191 s
% 7.21/2.11 % (3310590)Peak memory usage: 98 MB
% 7.21/2.11 % (3310590)Instructions burned: 327 (million)
% 7.21/2.11 % (3310596)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2156831299:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 7.21/2.11 % (3310597)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2448977576:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 7.21/2.11 % (3310598)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1324091906:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 7.21/2.11 % (3310599)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3364943050:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 7.21/2.11 % (3310598)Instruction limit reached!
% 7.21/2.11 % (3310598)------------------------------
% 7.21/2.11 % (3310598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.11 % (3310598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.11 % (3310598)CaDiCaL version: 2.1.3
% 7.21/2.11 % (3310598)Termination reason: Instruction limit
% 7.21/2.11 % (3310598)Termination phase: Property scanning
% 7.21/2.11 % (3310598)Time elapsed: 0.073 s
% 7.21/2.11 % (3310598)Peak memory usage: 95 MB
% 7.21/2.11 % (3310598)Instructions burned: 114 (million)
% 7.21/2.11 % (3310596)Instruction limit reached!
% 7.21/2.11 % (3310596)------------------------------
% 7.21/2.11 % (3310596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.11 % (3310596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.11 % (3310596)CaDiCaL version: 2.1.3
% 7.21/2.11 % (3310596)Termination reason: Instruction limit
% 7.21/2.11 % (3310596)Termination phase: Saturation
% 7.21/2.11 % (3310596)Time elapsed: 0.178 s
% 7.21/2.11 % (3310596)Peak memory usage: 100 MB
% 7.21/2.11 % (3310596)Instructions burned: 294 (million)
% 7.21/2.11 % (3310576)First to succeed.
% 7.21/2.11 % (3310576)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3310569"
% 7.21/2.11 % (3310599)Instruction limit reached!
% 7.21/2.11 % (3310599)------------------------------
% 7.21/2.11 % (3310599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.21/2.11 % (3310599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.21/2.11 % (3310599)CaDiCaL version: 2.1.3
% 7.21/2.11 % (3310599)Termination reason: Instruction limit
% 7.21/2.11 % (3310599)Termination phase: Preprocessing 3
% 7.21/2.11 % (3310599)Time elapsed: 0.089 s
% 7.21/2.11 % (3310599)Peak memory usage: 99 MB
% 7.21/2.11 % (3310599)Instructions burned: 129 (million)
% 7.21/2.11 % (3310604)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3948325279:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 7.21/2.11 % (3310605)lrs+10_1_sil=8000:sp=occurrence:random_seed=2304095653:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 7.21/2.11 % (3310606)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1930474933:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 7.21/2.11 % (3310576)Refutation found. Thanks to Tanya!
% 7.21/2.11 % SZS status Theorem for theBenchmark
% 7.21/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.31 % (3310576)------------------------------
% 0.18/2.31 % (3310576)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.31 % (3310576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.31 % (3310576)CaDiCaL version: 2.1.3
% 0.18/2.31 % (3310576)Termination reason: Refutation
% 0.18/2.31 % (3310576)Time elapsed: 0.709 s
% 0.18/2.31 % (3310576)Peak memory usage: 148 MB
% 0.18/2.31 % (3310576)Instructions burned: 1960 (million)
% 0.18/2.31 % (3310576)------------------------------
% 0.18/2.31 % (3310576)------------------------------
% 0.18/2.31 % (3310569)Success in time 1.243 s
% 0.18/2.31 % Vampire exiting
%------------------------------------------------------------------------------