%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP653+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 3.31s 1.33s
% Output : Refutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 8
% Syntax : Number of formulae : 102 ( 20 unt; 2 def)
% Number of atoms : 732 ( 0 equ)
% Maximal formula atoms : 15 ( 7 avg)
% Number of connectives : 1069 ( 439 ~; 493 |; 111 &)
% ( 5 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 105 ( 0 sgn 99 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox/benchmark/theBenchmark.p',t38_latsubgr) ).
fof(f2,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)],[f1]) ).
fof(f10,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/sandbox/benchmark/theBenchmark.p',dt_k11_group_4) ).
fof(f25,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/sandbox/benchmark/theBenchmark.p',dt_m4_vectsp_8) ).
fof(f57,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/sandbox/benchmark/theBenchmark.p',t11_vectsp_8) ).
fof(f60,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/sandbox/benchmark/theBenchmark.p',t36_latsubgr) ).
fof(f61,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/sandbox/benchmark/theBenchmark.p',t37_latsubgr) ).
fof(f83,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,[],[f2]) ).
fof(f84,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,[],[f83]) ).
fof(f96,plain,
! [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)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f97,plain,
! [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)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f96]) ).
fof(f109,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,[],[f25]) ).
fof(f110,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,[],[f109]) ).
fof(f130,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,[],[f57]) ).
fof(f131,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,[],[f130]) ).
fof(f135,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,[],[f60]) ).
fof(f136,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,[],[f135]) ).
fof(f137,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,[],[f61]) ).
fof(f138,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,[],[f137]) ).
fof(f146,plain,
( ~ m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
& v2_funct_1(sK2)
& v1_funct_1(sK2)
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_group_6(sK2,sK0,sK1)
& m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& ~ v3_struct_0(sK1)
& v3_group_1(sK1)
& v4_group_1(sK1)
& l1_group_1(sK1)
& ~ v3_struct_0(sK0)
& v3_group_1(sK0)
& v4_group_1(sK0)
& l1_group_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f84]) ).
fof(f168,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,[],[f131]) ).
fof(f169,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,[],[f168]) ).
fof(f170,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f146]) ).
fof(f171,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f146]) ).
fof(f172,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f146]) ).
fof(f173,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f146]) ).
fof(f174,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f175,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f176,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f177,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f178,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f146]) ).
fof(f179,plain,
v1_group_6(sK2,sK0,sK1),
inference(cnf_transformation,[],[f146]) ).
fof(f180,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f146]) ).
fof(f181,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f146]) ).
fof(f182,plain,
v2_funct_1(sK2),
inference(cnf_transformation,[],[f146]) ).
fof(f183,plain,
~ m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)),
inference(cnf_transformation,[],[f146]) ).
fof(f197,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,[],[f97]) ).
fof(f198,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,[],[f97]) ).
fof(f200,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,[],[f97]) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X0)
| ~ m4_vectsp_8(X2,X0,X1)
| v3_struct_0(X0)
| m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l3_lattices(X0)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f217,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,[],[f110]) ).
fof(f218,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,[],[f110]) ).
fof(f269,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,[],[f169]) ).
fof(f272,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,[],[f136]) ).
fof(f273,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,[],[f138]) ).
fof(f375,plain,
! [X2,X0,X1] :
( m1_lattice4(X2,X0,X1)
| ~ m4_vectsp_8(X2,X0,X1)
| ~ m3_vectsp_8(X2,X0,X1)
| ~ 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(forward_subsumption_resolution,[],[f269,f218]) ).
fof(f376,plain,
! [X2,X0,X1] :
( m1_lattice4(X2,X0,X1)
| ~ m4_vectsp_8(X2,X0,X1)
| ~ m3_vectsp_8(X2,X0,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(forward_subsumption_resolution,[],[f375,f217]) ).
fof(f377,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X1)
| ~ m4_vectsp_8(X2,X0,X1)
| ~ m3_vectsp_8(X2,X0,X1)
| v3_struct_0(X1)
| m1_lattice4(X2,X0,X1)
| ~ l3_lattices(X1)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(forward_subsumption_resolution,[],[f376,f216]) ).
fof(f379,plain,
! [X2,X0,X1] :
( ~ m4_vectsp_8(X0,X1,k11_group_4(X2))
| ~ m3_vectsp_8(X0,X1,k11_group_4(X2))
| v3_struct_0(k11_group_4(X2))
| m1_lattice4(X0,X1,k11_group_4(X2))
| ~ l3_lattices(k11_group_4(X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(resolution,[],[f377,f198]) ).
fof(f382,plain,
! [X2,X0,X1] :
( ~ m4_vectsp_8(X0,X1,k11_group_4(X2))
| ~ m3_vectsp_8(X0,X1,k11_group_4(X2))
| m1_lattice4(X0,X1,k11_group_4(X2))
| ~ l3_lattices(k11_group_4(X2))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(forward_subsumption_resolution,[],[f379,f200]) ).
fof(f383,plain,
! [X2,X0,X1] :
( ~ v10_lattices(X1)
| ~ m3_vectsp_8(X0,X1,k11_group_4(X2))
| m1_lattice4(X0,X1,k11_group_4(X2))
| v3_struct_0(X1)
| ~ m4_vectsp_8(X0,X1,k11_group_4(X2))
| ~ l3_lattices(X1)
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(forward_subsumption_resolution,[],[f382,f197]) ).
fof(f449,plain,
! [X2,X0,X1] :
( ~ m3_vectsp_8(X0,k11_group_4(X1),k11_group_4(X2))
| m1_lattice4(X0,k11_group_4(X1),k11_group_4(X2))
| v3_struct_0(k11_group_4(X1))
| ~ m4_vectsp_8(X0,k11_group_4(X1),k11_group_4(X2))
| ~ l3_lattices(k11_group_4(X1))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(resolution,[],[f383,f198]) ).
fof(f450,plain,
! [X2,X0,X1] :
( ~ m3_vectsp_8(X0,k11_group_4(X1),k11_group_4(X2))
| m1_lattice4(X0,k11_group_4(X1),k11_group_4(X2))
| ~ m4_vectsp_8(X0,k11_group_4(X1),k11_group_4(X2))
| ~ l3_lattices(k11_group_4(X1))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f449,f200]) ).
fof(f451,plain,
! [X2,X0,X1] :
( m1_lattice4(X0,k11_group_4(X1),k11_group_4(X2))
| ~ m3_vectsp_8(X0,k11_group_4(X1),k11_group_4(X2))
| ~ m4_vectsp_8(X0,k11_group_4(X1),k11_group_4(X2))
| v3_struct_0(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f450,f197]) ).
fof(f620,plain,
( ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(resolution,[],[f451,f183]) ).
fof(f621,plain,
( ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f620,f177]) ).
fof(f622,plain,
( ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f621,f176]) ).
fof(f623,plain,
( ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f622,f175]) ).
fof(f624,plain,
( ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f623,f174]) ).
fof(f625,plain,
( ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f624,f173]) ).
fof(f626,plain,
( ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f625,f172]) ).
fof(f627,plain,
( ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f626,f171]) ).
fof(f628,plain,
( ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f627,f170]) ).
fof(f630,definition,
( spl23_10
<=> m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
introduced(definition,[new_symbols(definition,[spl23_10])],[avatar_definition]) ).
fof(f632,plain,
( ~ m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| spl23_10 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f634,definition,
( spl23_11
<=> m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
introduced(definition,[new_symbols(definition,[spl23_11])],[avatar_definition]) ).
fof(f636,plain,
( ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| spl23_11 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f637,plain,
( ~ spl23_10
| ~ spl23_11 ),
inference(avatar_split_clause,[],[f628,f634,f630]) ).
fof(f690,plain,
( ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK0,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_10 ),
inference(resolution,[],[f632,f273]) ).
fof(f692,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK0,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_10 ),
inference(forward_subsumption_resolution,[],[f690,f181]) ).
fof(f693,plain,
( ~ v1_group_6(sK2,sK0,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_10 ),
inference(forward_subsumption_resolution,[],[f692,f180]) ).
fof(f694,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_10 ),
inference(forward_subsumption_resolution,[],[f693,f179]) ).
fof(f695,plain,
( v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_10 ),
inference(forward_subsumption_resolution,[],[f694,f178]) ).
fof(f696,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_10 ),
inference(forward_subsumption_resolution,[],[f695,f177]) ).
fof(f697,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_10 ),
inference(forward_subsumption_resolution,[],[f696,f176]) ).
fof(f698,plain,
( ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_10 ),
inference(forward_subsumption_resolution,[],[f697,f175]) ).
fof(f699,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_10 ),
inference(forward_subsumption_resolution,[],[f698,f174]) ).
fof(f700,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_10 ),
inference(forward_subsumption_resolution,[],[f699,f173]) ).
fof(f701,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_10 ),
inference(forward_subsumption_resolution,[],[f700,f172]) ).
fof(f702,plain,
( ~ l1_group_1(sK0)
| spl23_10 ),
inference(forward_subsumption_resolution,[],[f701,f171]) ).
fof(f703,plain,
( $false
| spl23_10 ),
inference(forward_subsumption_resolution,[],[f702,f170]) ).
fof(f704,plain,
spl23_10,
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f707,plain,
( ~ v2_funct_1(sK2)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK0,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_11 ),
inference(resolution,[],[f636,f272]) ).
fof(f709,plain,
( ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK0,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_11 ),
inference(forward_subsumption_resolution,[],[f707,f182]) ).
fof(f710,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK0,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_11 ),
inference(forward_subsumption_resolution,[],[f709,f181]) ).
fof(f711,plain,
( ~ v1_group_6(sK2,sK0,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_11 ),
inference(forward_subsumption_resolution,[],[f710,f180]) ).
fof(f712,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_11 ),
inference(forward_subsumption_resolution,[],[f711,f179]) ).
fof(f713,plain,
( v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_11 ),
inference(forward_subsumption_resolution,[],[f712,f178]) ).
fof(f714,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_11 ),
inference(forward_subsumption_resolution,[],[f713,f177]) ).
fof(f715,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_11 ),
inference(forward_subsumption_resolution,[],[f714,f176]) ).
fof(f716,plain,
( ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_11 ),
inference(forward_subsumption_resolution,[],[f715,f175]) ).
fof(f717,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_11 ),
inference(forward_subsumption_resolution,[],[f716,f174]) ).
fof(f718,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_11 ),
inference(forward_subsumption_resolution,[],[f717,f173]) ).
fof(f719,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_11 ),
inference(forward_subsumption_resolution,[],[f718,f172]) ).
fof(f720,plain,
( ~ l1_group_1(sK0)
| spl23_11 ),
inference(forward_subsumption_resolution,[],[f719,f171]) ).
fof(f721,plain,
( $false
| spl23_11 ),
inference(forward_subsumption_resolution,[],[f720,f170]) ).
fof(f722,plain,
spl23_11,
inference(avatar_contradiction_clause,[],[f721]) ).
cnf(s8,plain,
( ~ spl23_10
| ~ spl23_11 ),
inference(sat_conversion,[],[f637]) ).
cnf(s17,plain,
spl23_10,
inference(sat_conversion,[],[f704]) ).
cnf(s18,plain,
spl23_11,
inference(sat_conversion,[],[f722]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s8,s18,s17]) ).
fof(f723,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP653+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n006.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 10:29:53 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.31/1.33 % (2778535)Detected formulas, will run a generic FOF schedule.
% 3.31/1.33 % (2778540)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=3650903753:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.31/1.33 % (2778541)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=2157956852:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.31/1.33 % (2778543)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1588231362:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.31/1.33 % (2778546)dis-21_1_sil=8000:lcm=predicate:random_seed=1845316579:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.31/1.33 % (2778542)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=1967717625:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.31/1.33 % (2778544)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2370671226:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.31/1.33 % (2778543)Refutation not found, incomplete strategy
% 3.31/1.33 % (2778543)------------------------------
% 3.31/1.33 % (2778543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.31/1.33 % (2778543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/1.33 % (2778543)CaDiCaL version: 2.1.3
% 3.31/1.33 % (2778543)Termination reason: Refutation not found, incomplete strategy
% 3.31/1.33 % (2778543)Time elapsed: 0.001 s
% 3.31/1.33 % (2778543)Peak memory usage: 86 MB
% 3.31/1.33 % (2778544)Refutation not found, incomplete strategy
% 3.31/1.33 % (2778544)------------------------------
% 3.31/1.33 % (2778544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.31/1.33 % (2778544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/1.33 % (2778544)CaDiCaL version: 2.1.3
% 3.31/1.33 % (2778544)Termination reason: Refutation not found, incomplete strategy
% 3.31/1.33 % (2778544)Time elapsed: 0.003 s
% 3.31/1.33 % (2778544)Peak memory usage: 87 MB
% 3.31/1.33 % (2778544)Instructions burned: 2 (million)
% 3.31/1.33 % (2778545)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1831137335:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.31/1.33 % (2778545)First to succeed.
% 3.31/1.33 % (2778545)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2778535"
% 3.31/1.33 % (2778546)Instruction limit reached!
% 3.31/1.33 % (2778546)------------------------------
% 3.31/1.33 % (2778546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.31/1.33 % (2778546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.31/1.33 % (2778546)CaDiCaL version: 2.1.3
% 3.31/1.33 % (2778546)Termination reason: Instruction limit
% 3.31/1.33 % (2778546)Termination phase: Saturation
% 3.31/1.33 % (2778546)Time elapsed: 0.070 s
% 3.31/1.33 % (2778546)Peak memory usage: 91 MB
% 3.31/1.33 % (2778546)Instructions burned: 129 (million)
% 3.31/1.33 % (2778554)lrs+10_1_sil=8000:sp=occurrence:random_seed=3802845781:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.31/1.33 % (2778543)------------------------------
% 3.31/1.33 % (2778543)------------------------------
% 3.31/1.33 % (2778544)------------------------------
% 3.31/1.33 % (2778544)------------------------------
% 3.31/1.33 % (2778554)Also succeeded, but the first one will report.
% 3.31/1.33 % (2778545)Refutation found. Thanks to Tanya!
% 3.31/1.33 % SZS status Theorem for theBenchmark
% 3.31/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.91/1.53 % (2778545)------------------------------
% 3.91/1.53 % (2778545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.53 % (2778545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.53 % (2778545)CaDiCaL version: 2.1.3
% 3.91/1.53 % (2778545)Termination reason: Refutation
% 3.91/1.53 % (2778545)Time elapsed: 0.023 s
% 3.91/1.53 % (2778545)Peak memory usage: 90 MB
% 3.91/1.53 % (2778545)Instructions burned: 32 (million)
% 3.91/1.53 % (2778545)------------------------------
% 3.91/1.53 % (2778545)------------------------------
% 3.91/1.53 % (2778535)Success in time 0.466 s
% 3.91/1.53 % Vampire exiting
%------------------------------------------------------------------------------