%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP653+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 10:18:25 AM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 9
% Syntax : Number of formulae : 150 ( 28 unt; 0 def)
% Number of atoms : 959 ( 0 equ)
% Maximal formula atoms : 16 ( 6 avg)
% Number of connectives : 1308 ( 499 ~; 564 |; 209 &)
% ( 4 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 103 ( 97 !; 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_k11_group_4) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(k3_latsubgr(X0,X1,X2))
& v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
& m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_latsubgr) ).
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/sandbox2/benchmark/theBenchmark.p',dt_m4_vectsp_8) ).
fof(f40,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(f55,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t37_latsubgr) ).
fof(f70,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,[],[f40]) ).
fof(f71,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,[],[f70]) ).
fof(f72,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,[],[f71]) ).
fof(f73,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,[],[f72]) ).
fof(f74,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,[],[f73]) ).
fof(f75,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,[],[f74]) ).
fof(f76,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,[],[f75]) ).
fof(f77,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,[],[f76]) ).
fof(f78,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,[],[f77]) ).
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(f98,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_latsubgr(X0,X1,X2))
& v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
& m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_latsubgr(X0,X1,X2))
& v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
& m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(flattening,[],[f98]) ).
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(f119,plain,
! [X0] :
( ( ~ v3_struct_0(k11_group_4(X0))
& v3_lattices(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,[],[f78]) ).
fof(f120,plain,
! [X0] :
( ( ~ v3_struct_0(k11_group_4(X0))
& v3_lattices(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,[],[f119]) ).
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,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f84]) ).
fof(f147,plain,
v1_group_6(sK2,sK0,sK1),
inference(cnf_transformation,[],[f84]) ).
fof(f148,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f84]) ).
fof(f149,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f84]) ).
fof(f150,plain,
v2_funct_1(sK2),
inference(cnf_transformation,[],[f84]) ).
fof(f151,plain,
~ m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)),
inference(cnf_transformation,[],[f84]) ).
fof(f152,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f84]) ).
fof(f153,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f84]) ).
fof(f154,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f84]) ).
fof(f155,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f84]) ).
fof(f156,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f84]) ).
fof(f157,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f84]) ).
fof(f158,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f84]) ).
fof(f159,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f84]) ).
fof(f168,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| l3_lattices(k11_group_4(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) ),
inference(cnf_transformation,[],[f99]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(k3_latsubgr(X0,X1,X2)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ m4_vectsp_8(X2,X0,X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f207,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v10_lattices(k11_group_4(X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f209,plain,
! [X0] :
( ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k11_group_4(X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f236,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ m4_vectsp_8(X2,X0,X1)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ m3_vectsp_8(X2,X0,X1)
| ~ l3_lattices(X0)
| m1_lattice4(X2,X0,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ v2_funct_1(X2)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ l1_group_1(X0)
| m3_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f244,plain,
! [X2,X0,X1] :
( ~ v1_group_6(X2,X0,X1)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_group_1(X0)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| m4_vectsp_8(k3_latsubgr(X0,X1,X2),k11_group_4(X0),k11_group_4(X1)) ),
inference(cnf_transformation,[],[f138]) ).
fof(f337,plain,
m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(resolution,[],[f236,f146]) ).
fof(f366,plain,
( ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| l3_lattices(k11_group_4(sK1)) ),
inference(resolution,[],[f168,f153]) ).
fof(f367,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| l3_lattices(k11_group_4(sK0)) ),
inference(resolution,[],[f168,f157]) ).
fof(f368,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| l3_lattices(k11_group_4(sK0)) ),
inference(forward_subsumption_resolution,[],[f367,f156]) ).
fof(f369,plain,
( ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| l3_lattices(k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f366,f152]) ).
fof(f370,plain,
( v3_struct_0(sK0)
| l3_lattices(k11_group_4(sK0)) ),
inference(forward_subsumption_resolution,[],[f368,f158]) ).
fof(f371,plain,
( v3_struct_0(sK1)
| l3_lattices(k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f369,f154]) ).
fof(f372,plain,
l3_lattices(k11_group_4(sK0)),
inference(forward_subsumption_resolution,[],[f370,f159]) ).
fof(f373,plain,
l3_lattices(k11_group_4(sK1)),
inference(forward_subsumption_resolution,[],[f371,f155]) ).
fof(f374,plain,
( ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| v10_lattices(k11_group_4(sK1)) ),
inference(resolution,[],[f207,f153]) ).
fof(f375,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v10_lattices(k11_group_4(sK0)) ),
inference(resolution,[],[f207,f157]) ).
fof(f376,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v10_lattices(k11_group_4(sK0)) ),
inference(forward_subsumption_resolution,[],[f375,f156]) ).
fof(f377,plain,
( ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| v10_lattices(k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f374,f152]) ).
fof(f378,plain,
( v3_struct_0(sK0)
| v10_lattices(k11_group_4(sK0)) ),
inference(forward_subsumption_resolution,[],[f376,f158]) ).
fof(f379,plain,
( v3_struct_0(sK1)
| v10_lattices(k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f377,f154]) ).
fof(f380,plain,
v10_lattices(k11_group_4(sK0)),
inference(forward_subsumption_resolution,[],[f378,f159]) ).
fof(f381,plain,
v10_lattices(k11_group_4(sK1)),
inference(forward_subsumption_resolution,[],[f379,f155]) ).
fof(f382,plain,
( ~ l1_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_struct_0(k11_group_4(sK1)) ),
inference(resolution,[],[f209,f153]) ).
fof(f383,plain,
( ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ v3_struct_0(k11_group_4(sK0)) ),
inference(resolution,[],[f209,f157]) ).
fof(f384,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ v3_struct_0(k11_group_4(sK0)) ),
inference(forward_subsumption_resolution,[],[f383,f156]) ).
fof(f385,plain,
( ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_struct_0(k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f382,f152]) ).
fof(f386,plain,
( v3_struct_0(sK0)
| ~ v3_struct_0(k11_group_4(sK0)) ),
inference(forward_subsumption_resolution,[],[f384,f158]) ).
fof(f387,plain,
( v3_struct_0(sK1)
| ~ v3_struct_0(k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f385,f154]) ).
fof(f388,plain,
~ v3_struct_0(k11_group_4(sK0)),
inference(forward_subsumption_resolution,[],[f386,f159]) ).
fof(f389,plain,
~ v3_struct_0(k11_group_4(sK1)),
inference(forward_subsumption_resolution,[],[f387,f155]) ).
fof(f495,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2)) ),
inference(resolution,[],[f174,f337]) ).
fof(f502,plain,
( ~ v1_funct_1(sK2)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f495,f148]) ).
fof(f504,plain,
( ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f502,f149]) ).
fof(f505,plain,
( ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f504,f152]) ).
fof(f506,plain,
( ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f505,f153]) ).
fof(f507,plain,
( v3_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f506,f154]) ).
fof(f508,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f507,f155]) ).
fof(f509,plain,
( ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f508,f156]) ).
fof(f510,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f509,f157]) ).
fof(f511,plain,
( v3_struct_0(sK0)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2)) ),
inference(forward_subsumption_resolution,[],[f510,f158]) ).
fof(f512,plain,
v1_funct_1(k3_latsubgr(sK0,sK1,sK2)),
inference(forward_subsumption_resolution,[],[f511,f159]) ).
fof(f563,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(resolution,[],[f173,f337]) ).
fof(f570,plain,
( ~ v1_funct_1(sK2)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f563,f148]) ).
fof(f572,plain,
( ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f570,f149]) ).
fof(f573,plain,
( ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f572,f152]) ).
fof(f574,plain,
( ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f573,f153]) ).
fof(f575,plain,
( v3_struct_0(sK1)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f574,f154]) ).
fof(f576,plain,
( ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f575,f155]) ).
fof(f577,plain,
( ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f576,f156]) ).
fof(f578,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f577,f157]) ).
fof(f579,plain,
( v3_struct_0(sK0)
| v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f578,f158]) ).
fof(f580,plain,
v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))),
inference(forward_subsumption_resolution,[],[f579,f159]) ).
fof(f581,plain,
( ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(resolution,[],[f244,f147]) ).
fof(f582,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f581,f157]) ).
fof(f583,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f582,f158]) ).
fof(f584,plain,
( ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f583,f159]) ).
fof(f585,plain,
( ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f584,f152]) ).
fof(f586,plain,
( ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f585,f153]) ).
fof(f587,plain,
( v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f586,f154]) ).
fof(f588,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f587,f155]) ).
fof(f589,plain,
( ~ l1_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f588,f146]) ).
fof(f590,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f589,f156]) ).
fof(f591,plain,
( ~ v1_funct_1(sK2)
| m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f590,f148]) ).
fof(f592,plain,
m4_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)),
inference(forward_subsumption_resolution,[],[f591,f149]) ).
fof(f593,plain,
( ~ v10_lattices(k11_group_4(sK0))
| v3_struct_0(k11_group_4(sK0))
| ~ l3_lattices(k11_group_4(sK1))
| ~ v10_lattices(k11_group_4(sK1))
| v3_struct_0(k11_group_4(sK1))
| ~ m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| ~ v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ l3_lattices(k11_group_4(sK0))
| m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(resolution,[],[f592,f240]) ).
fof(f595,plain,
( ~ v10_lattices(k11_group_4(sK1))
| v3_struct_0(k11_group_4(sK1))
| ~ l3_lattices(k11_group_4(sK0))
| ~ v10_lattices(k11_group_4(sK0))
| v3_struct_0(k11_group_4(sK0))
| ~ l3_lattices(k11_group_4(sK1))
| m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(resolution,[],[f592,f187]) ).
fof(f597,plain,
( v3_struct_0(k11_group_4(sK1))
| ~ l3_lattices(k11_group_4(sK0))
| ~ v10_lattices(k11_group_4(sK0))
| v3_struct_0(k11_group_4(sK0))
| ~ l3_lattices(k11_group_4(sK1))
| m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f595,f381]) ).
fof(f598,plain,
( v3_struct_0(k11_group_4(sK0))
| ~ l3_lattices(k11_group_4(sK1))
| ~ v10_lattices(k11_group_4(sK1))
| v3_struct_0(k11_group_4(sK1))
| ~ m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| ~ v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ l3_lattices(k11_group_4(sK0))
| m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f593,f380]) ).
fof(f599,plain,
( ~ l3_lattices(k11_group_4(sK0))
| ~ v10_lattices(k11_group_4(sK0))
| v3_struct_0(k11_group_4(sK0))
| ~ l3_lattices(k11_group_4(sK1))
| m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f597,f389]) ).
fof(f600,plain,
( ~ l3_lattices(k11_group_4(sK1))
| ~ v10_lattices(k11_group_4(sK1))
| v3_struct_0(k11_group_4(sK1))
| ~ m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| ~ v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ l3_lattices(k11_group_4(sK0))
| m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f598,f388]) ).
fof(f601,plain,
( ~ v10_lattices(k11_group_4(sK0))
| v3_struct_0(k11_group_4(sK0))
| ~ l3_lattices(k11_group_4(sK1))
| m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f599,f372]) ).
fof(f602,plain,
( ~ v10_lattices(k11_group_4(sK1))
| v3_struct_0(k11_group_4(sK1))
| ~ m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| ~ v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ l3_lattices(k11_group_4(sK0))
| m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f600,f373]) ).
fof(f603,plain,
( v3_struct_0(k11_group_4(sK0))
| ~ l3_lattices(k11_group_4(sK1))
| m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f601,f380]) ).
fof(f604,plain,
( v3_struct_0(k11_group_4(sK1))
| ~ m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| ~ v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ l3_lattices(k11_group_4(sK0))
| m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f602,f381]) ).
fof(f605,plain,
( ~ l3_lattices(k11_group_4(sK1))
| m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f603,f388]) ).
fof(f606,plain,
( ~ m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| ~ v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ l3_lattices(k11_group_4(sK0))
| m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f604,f389]) ).
fof(f607,plain,
m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))),
inference(forward_subsumption_resolution,[],[f605,f373]) ).
fof(f608,plain,
( ~ m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| ~ v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ l3_lattices(k11_group_4(sK0))
| m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f606,f580]) ).
fof(f609,plain,
( ~ v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ l3_lattices(k11_group_4(sK0))
| m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f608,f607]) ).
fof(f610,plain,
( ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| ~ l3_lattices(k11_group_4(sK0))
| m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f609,f512]) ).
fof(f611,plain,
( ~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1))
| m1_lattice4(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f610,f372]) ).
fof(f612,plain,
~ m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)),
inference(forward_subsumption_resolution,[],[f611,f151]) ).
fof(f613,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(sK2,X0,X1)
| ~ v1_funct_2(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(sK2)
| ~ l1_group_1(X0)
| m3_vectsp_8(k3_latsubgr(X0,X1,sK2),k11_group_4(X0),k11_group_4(X1)) ),
inference(resolution,[],[f243,f150]) ).
fof(f616,plain,
! [X0,X1] :
( ~ v1_group_6(sK2,X0,X1)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| v3_struct_0(X1)
| ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v4_group_1(X0)
| ~ v1_funct_2(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_group_1(X0)
| m3_vectsp_8(k3_latsubgr(X0,X1,sK2),k11_group_4(X0),k11_group_4(X1)) ),
inference(forward_subsumption_resolution,[],[f613,f149]) ).
fof(f617,plain,
( ~ v3_group_1(sK0)
| v3_struct_0(sK0)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v4_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(resolution,[],[f616,f147]) ).
fof(f618,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v4_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f617,f158]) ).
fof(f619,plain,
( ~ l1_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v4_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f618,f159]) ).
fof(f620,plain,
( ~ v4_group_1(sK1)
| ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v4_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f619,f152]) ).
fof(f621,plain,
( ~ v3_group_1(sK1)
| v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v4_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f620,f153]) ).
fof(f622,plain,
( v3_struct_0(sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v4_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f621,f154]) ).
fof(f623,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v4_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f622,f155]) ).
fof(f624,plain,
( ~ v4_group_1(sK0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f623,f146]) ).
fof(f625,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f624,f157]) ).
fof(f626,plain,
( ~ l1_group_1(sK0)
| m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)) ),
inference(forward_subsumption_resolution,[],[f625,f148]) ).
fof(f627,plain,
m3_vectsp_8(k3_latsubgr(sK0,sK1,sK2),k11_group_4(sK0),k11_group_4(sK1)),
inference(forward_subsumption_resolution,[],[f626,f156]) ).
fof(f628,plain,
$false,
inference(forward_subsumption_resolution,[],[f627,f612]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP653+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 10:29:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.45 % (17958)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (17963)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1745583653_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (17964)% WARNING: option uhcvi not known.
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % (17966)dis+10_1_sil=32000:sp=arity:random_seed=738605476:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (17965)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3607441786:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (17969)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3403049138:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (17964)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2122833825:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % (17967)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3431170502:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (17968)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4167358176:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % TRYING [4]
% 0.10/0.45 % (17967) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-17958-17967"...
% 0.10/0.45 % (17967)...printing done.
% 0.10/0.45 % (17967)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (17967)------------------------------
% 0.10/0.45 % (17967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (17967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (17967)CaDiCaL version: 2.1.3
% 0.10/0.45 % (17967)Termination reason: Refutation
% 0.10/0.45 % (17967)Time elapsed: 0.017 s
% 0.10/0.45 % (17967)Peak memory usage: 12 MB
% 0.10/0.45 % (17967)Instructions burned: 28 (million)
% 0.10/0.45 % (17958)Success in time 0.053 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------