%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT304+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 11:48:18 AM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 27
% Syntax : Number of formulae : 188 ( 36 unt; 13 def)
% Number of atoms : 540 ( 42 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 573 ( 221 ~; 247 |; 69 &)
% ( 20 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 14 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-3 aty)
% Number of variables : 125 ( 0 sgn 123 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m2_filter_2(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m2_filter_2(u1_struct_0(X0),X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f10,axiom,
! [X0] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f12,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f19,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f27,axiom,
! [X0] :
( l1_lattices(X0)
=> ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f29,axiom,
! [X0] :
( l2_lattices(X0)
=> ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f41,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f51,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f52,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X0 = X3
& X1 = X4
& X2 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f66,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f67,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f69,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(u1_struct_0(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_filter_0) ).
fof(f71,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_filter_2) ).
fof(f91,plain,
? [X0] :
( ~ m2_filter_2(u1_struct_0(X0),X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f92,plain,
? [X0] :
( ~ m2_filter_2(u1_struct_0(X0),X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f94,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f93]) ).
fof(f104,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f107,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f110,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f120,plain,
! [X0] :
( ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f121,plain,
! [X0] :
( ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f130,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f131,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f130]) ).
fof(f146,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f147,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f146]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f149,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f148]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f158,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f157]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f160]) ).
fof(f171,plain,
l3_lattices(sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f172,plain,
v10_lattices(sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f173,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f174,plain,
~ m2_filter_2(u1_struct_0(sK0),sK0),
inference(cnf_transformation,[],[f92]) ).
fof(f175,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(cnf_transformation,[],[f94]) ).
fof(f186,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f104]) ).
fof(f189,plain,
! [X0] :
( ~ l3_lattices(X0)
| l3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f190,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f193,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f194,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f203,plain,
! [X0] :
( ~ l1_lattices(X0)
| m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f204,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f205,plain,
! [X0] :
( ~ l1_lattices(X0)
| v1_funct_1(u1_lattices(X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f206,plain,
! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f207,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f208,plain,
! [X0] :
( ~ l2_lattices(X0)
| v1_funct_1(u2_lattices(X0)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f221,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v3_struct_0(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f131]) ).
fof(f240,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| v10_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f251,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3 ),
inference(cnf_transformation,[],[f149]) ).
fof(f286,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_0(X1,X0)
| m1_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f289,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f291,plain,
! [X0] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| m1_filter_0(u1_struct_0(X0),X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f293,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ m1_filter_2(X1,k1_lattice2(X0))
| m2_filter_2(X1,X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f302,plain,
m2_filter_2(u1_struct_0(sK0),sK0),
inference(consistent_polarity_flipping,[],[f174]) ).
fof(f303,plain,
v3_struct_0(sK0),
inference(consistent_polarity_flipping,[],[f173]) ).
fof(f304,plain,
~ v10_lattices(sK0),
inference(consistent_polarity_flipping,[],[f172]) ).
fof(f305,plain,
~ l3_lattices(sK0),
inference(consistent_polarity_flipping,[],[f171]) ).
fof(f306,plain,
! [X0] :
( v3_lattices(X0)
| l3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0 ),
inference(consistent_polarity_flipping,[],[f175]) ).
fof(f315,plain,
! [X0] :
( l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(consistent_polarity_flipping,[],[f186]) ).
fof(f318,plain,
! [X0] :
( ~ v3_lattices(k1_lattice2(X0))
| l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f190]) ).
fof(f319,plain,
! [X0] :
( ~ l3_lattices(k1_lattice2(X0))
| l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f189]) ).
fof(f321,plain,
! [X0] :
( ~ l1_lattices(X0)
| l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f194]) ).
fof(f322,plain,
! [X0] :
( l2_lattices(X0)
| l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f193]) ).
fof(f330,plain,
! [X0] :
( ~ v1_funct_1(u1_lattices(X0))
| l1_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f205]) ).
fof(f331,plain,
! [X0] :
( ~ v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f204]) ).
fof(f332,plain,
! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| l1_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f203]) ).
fof(f333,plain,
! [X0] :
( ~ v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f208]) ).
fof(f334,plain,
! [X0] :
( ~ v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f207]) ).
fof(f342,plain,
! [X0] :
( v3_struct_0(k1_lattice2(X0))
| ~ v3_struct_0(X0)
| l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f221]) ).
fof(f367,plain,
! [X0] :
( ~ v10_lattices(k1_lattice2(X0))
| v10_lattices(X0)
| ~ v3_struct_0(X0)
| l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f240]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| v1_funct_1(X2)
| m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| v1_funct_1(X1)
| m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0)
| X0 = X3 ),
inference(consistent_polarity_flipping,[],[f251]) ).
fof(f391,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,X0)
| v10_lattices(X0)
| ~ v3_struct_0(X0)
| m1_filter_0(X1,X0)
| l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f286]) ).
fof(f392,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f289]) ).
fof(f395,plain,
! [X0] :
( ~ m1_filter_0(u1_struct_0(X0),X0)
| v10_lattices(X0)
| ~ v3_struct_0(X0)
| l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f291]) ).
fof(f397,plain,
! [X0,X1] :
( ~ m2_filter_2(X1,X0)
| v10_lattices(X0)
| ~ v3_struct_0(X0)
| m1_filter_2(X1,k1_lattice2(X0))
| l3_lattices(X0) ),
inference(consistent_polarity_flipping,[],[f293]) ).
fof(f451,plain,
k1_lattice2(sK0) = g3_lattices(u1_struct_0(sK0),u1_lattices(sK0),u2_lattices(sK0)),
inference(resolution,[],[f315,f305]) ).
fof(f461,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)))
| l3_lattices(X0) ),
inference(resolution,[],[f306,f318]) ).
fof(f468,plain,
! [X0] :
( l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) ),
inference(forward_subsumption_resolution,[],[f461,f319]) ).
fof(f470,plain,
( v10_lattices(sK0)
| ~ v3_struct_0(sK0)
| m1_filter_2(u1_struct_0(sK0),k1_lattice2(sK0))
| l3_lattices(sK0) ),
inference(resolution,[],[f397,f302]) ).
fof(f473,plain,
( ~ v3_struct_0(sK0)
| m1_filter_2(u1_struct_0(sK0),k1_lattice2(sK0))
| l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f470,f304]) ).
fof(f474,plain,
( m1_filter_2(u1_struct_0(sK0),k1_lattice2(sK0))
| l3_lattices(sK0) ),
inference(forward_subsumption_resolution,[],[f473,f303]) ).
fof(f475,plain,
m1_filter_2(u1_struct_0(sK0),k1_lattice2(sK0)),
inference(forward_subsumption_resolution,[],[f474,f305]) ).
fof(f477,plain,
( v10_lattices(k1_lattice2(sK0))
| ~ v3_struct_0(k1_lattice2(sK0))
| m1_filter_0(u1_struct_0(sK0),k1_lattice2(sK0))
| l3_lattices(k1_lattice2(sK0)) ),
inference(resolution,[],[f475,f391]) ).
fof(f479,definition,
( spl25_1
<=> l3_lattices(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).
fof(f480,plain,
( ~ l3_lattices(k1_lattice2(sK0))
| spl25_1 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f481,plain,
( l3_lattices(k1_lattice2(sK0))
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f483,definition,
( spl25_2
<=> m1_filter_0(u1_struct_0(sK0),k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f485,plain,
( m1_filter_0(u1_struct_0(sK0),k1_lattice2(sK0))
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f487,definition,
( spl25_3
<=> v3_struct_0(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_3])],[avatar_definition]) ).
fof(f488,plain,
( v3_struct_0(k1_lattice2(sK0))
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f489,plain,
( ~ v3_struct_0(k1_lattice2(sK0))
| spl25_3 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f491,definition,
( spl25_4
<=> v10_lattices(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_4])],[avatar_definition]) ).
fof(f493,plain,
( v10_lattices(k1_lattice2(sK0))
| ~ spl25_4 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f494,plain,
( spl25_1
| spl25_2
| ~ spl25_3
| spl25_4 ),
inference(avatar_split_clause,[],[f477,f491,f487,f483,f479]) ).
fof(f495,plain,
( ~ v3_struct_0(sK0)
| l3_lattices(sK0)
| spl25_3 ),
inference(resolution,[],[f489,f342]) ).
fof(f496,plain,
( l3_lattices(sK0)
| spl25_3 ),
inference(forward_subsumption_resolution,[],[f495,f303]) ).
fof(f497,plain,
( $false
| spl25_3 ),
inference(forward_subsumption_resolution,[],[f496,f305]) ).
fof(f498,plain,
spl25_3,
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f564,definition,
( spl25_19
<=> m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_19])],[avatar_definition]) ).
fof(f566,plain,
( m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl25_19 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f568,definition,
( spl25_20
<=> v1_funct_1(u1_lattices(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_20])],[avatar_definition]) ).
fof(f570,plain,
( v1_funct_1(u1_lattices(sK0))
| ~ spl25_20 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f572,definition,
( spl25_21
<=> v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_21])],[avatar_definition]) ).
fof(f574,plain,
( v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl25_21 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f576,definition,
( spl25_22
<=> m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_22])],[avatar_definition]) ).
fof(f578,plain,
( m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl25_22 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f580,definition,
( spl25_23
<=> v1_funct_1(u2_lattices(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_23])],[avatar_definition]) ).
fof(f582,plain,
( v1_funct_1(u2_lattices(sK0))
| ~ spl25_23 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f584,definition,
( spl25_24
<=> v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_24])],[avatar_definition]) ).
fof(f586,plain,
( v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl25_24 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f619,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| v1_funct_2(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v1_funct_1(u2_lattices(sK0))
| m1_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v1_funct_2(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| v1_funct_1(u1_lattices(sK0))
| m1_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| u1_struct_0(sK0) = X0 ),
inference(superposition,[],[f368,f451]) ).
fof(f695,definition,
( spl25_44
<=> ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl25_44])],[avatar_definition]) ).
fof(f696,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK0)
| u1_struct_0(sK0) = X0 )
| ~ spl25_44 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f697,plain,
( spl25_19
| spl25_20
| spl25_21
| spl25_22
| spl25_23
| spl25_24
| spl25_44 ),
inference(avatar_split_clause,[],[f619,f695,f584,f580,f576,f572,f568,f564]) ).
fof(f699,definition,
( spl25_45
<=> k1_lattice2(sK0) = g3_lattices(u1_struct_0(k1_lattice2(sK0)),u2_lattices(k1_lattice2(sK0)),u1_lattices(k1_lattice2(sK0))) ),
introduced(definition,[new_symbols(definition,[spl25_45])],[avatar_definition]) ).
fof(f701,plain,
( k1_lattice2(sK0) = g3_lattices(u1_struct_0(k1_lattice2(sK0)),u2_lattices(k1_lattice2(sK0)),u1_lattices(k1_lattice2(sK0)))
| ~ spl25_45 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f703,plain,
( l3_lattices(sK0)
| ~ spl25_1 ),
inference(resolution,[],[f481,f319]) ).
fof(f704,plain,
( $false
| ~ spl25_1 ),
inference(forward_subsumption_resolution,[],[f703,f305]) ).
fof(f705,plain,
~ spl25_1,
inference(avatar_contradiction_clause,[],[f704]) ).
fof(f809,plain,
( ~ m2_relset_1(u2_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl25_19 ),
inference(resolution,[],[f566,f392]) ).
fof(f810,plain,
( ~ l2_lattices(sK0)
| ~ spl25_19 ),
inference(resolution,[],[f809,f206]) ).
fof(f812,plain,
( l3_lattices(sK0)
| ~ spl25_19 ),
inference(resolution,[],[f810,f322]) ).
fof(f813,plain,
( $false
| ~ spl25_19 ),
inference(forward_subsumption_resolution,[],[f812,f305]) ).
fof(f814,plain,
~ spl25_19,
inference(avatar_contradiction_clause,[],[f813]) ).
fof(f895,plain,
( l1_lattices(sK0)
| ~ spl25_20 ),
inference(resolution,[],[f570,f330]) ).
fof(f905,plain,
( l3_lattices(sK0)
| ~ spl25_20 ),
inference(resolution,[],[f895,f321]) ).
fof(f906,plain,
( $false
| ~ spl25_20 ),
inference(forward_subsumption_resolution,[],[f905,f305]) ).
fof(f907,plain,
~ spl25_20,
inference(avatar_contradiction_clause,[],[f906]) ).
fof(f927,plain,
k1_lattice2(sK0) = g3_lattices(u1_struct_0(k1_lattice2(sK0)),u2_lattices(k1_lattice2(sK0)),u1_lattices(k1_lattice2(sK0))),
inference(resolution,[],[f468,f305]) ).
fof(f932,plain,
spl25_45,
inference(avatar_split_clause,[],[f927,f699]) ).
fof(f979,plain,
( ~ l2_lattices(sK0)
| ~ spl25_23 ),
inference(resolution,[],[f582,f333]) ).
fof(f981,plain,
( l3_lattices(sK0)
| ~ spl25_23 ),
inference(resolution,[],[f979,f322]) ).
fof(f982,plain,
( $false
| ~ spl25_23 ),
inference(forward_subsumption_resolution,[],[f981,f305]) ).
fof(f983,plain,
~ spl25_23,
inference(avatar_contradiction_clause,[],[f982]) ).
fof(f1019,plain,
( l1_lattices(sK0)
| ~ spl25_21 ),
inference(resolution,[],[f574,f331]) ).
fof(f1020,plain,
( l3_lattices(sK0)
| ~ spl25_21 ),
inference(resolution,[],[f1019,f321]) ).
fof(f1021,plain,
( $false
| ~ spl25_21 ),
inference(forward_subsumption_resolution,[],[f1020,f305]) ).
fof(f1022,plain,
~ spl25_21,
inference(avatar_contradiction_clause,[],[f1021]) ).
fof(f1023,plain,
( ~ l2_lattices(sK0)
| ~ spl25_24 ),
inference(resolution,[],[f586,f334]) ).
fof(f1024,plain,
( l3_lattices(sK0)
| ~ spl25_24 ),
inference(resolution,[],[f1023,f322]) ).
fof(f1025,plain,
( $false
| ~ spl25_24 ),
inference(forward_subsumption_resolution,[],[f1024,f305]) ).
fof(f1026,plain,
~ spl25_24,
inference(avatar_contradiction_clause,[],[f1025]) ).
fof(f1027,plain,
( ~ m2_relset_1(u1_lattices(sK0),k2_zfmisc_1(u1_struct_0(sK0),u1_struct_0(sK0)),u1_struct_0(sK0))
| ~ spl25_22 ),
inference(resolution,[],[f578,f392]) ).
fof(f1099,plain,
( l1_lattices(sK0)
| ~ spl25_22 ),
inference(resolution,[],[f1027,f332]) ).
fof(f1101,plain,
( l3_lattices(sK0)
| ~ spl25_22 ),
inference(resolution,[],[f1099,f321]) ).
fof(f1102,plain,
( $false
| ~ spl25_22 ),
inference(forward_subsumption_resolution,[],[f1101,f305]) ).
fof(f1103,plain,
~ spl25_22,
inference(avatar_contradiction_clause,[],[f1102]) ).
fof(f1189,definition,
( spl25_102
<=> u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl25_102])],[avatar_definition]) ).
fof(f1191,plain,
( u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0))
| ~ spl25_102 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f1465,plain,
( k1_lattice2(sK0) != k1_lattice2(sK0)
| u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0))
| ~ spl25_44
| ~ spl25_45 ),
inference(superposition,[],[f696,f701]) ).
fof(f1470,plain,
( u1_struct_0(sK0) = u1_struct_0(k1_lattice2(sK0))
| ~ spl25_44
| ~ spl25_45 ),
inference(trivial_inequality_removal,[],[f1465]) ).
fof(f1471,plain,
( spl25_102
| ~ spl25_44
| ~ spl25_45 ),
inference(avatar_split_clause,[],[f1470,f699,f695,f1189]) ).
fof(f1491,plain,
( ~ m1_filter_0(u1_struct_0(sK0),k1_lattice2(sK0))
| v10_lattices(k1_lattice2(sK0))
| ~ v3_struct_0(k1_lattice2(sK0))
| l3_lattices(k1_lattice2(sK0))
| ~ spl25_102 ),
inference(superposition,[],[f395,f1191]) ).
fof(f1493,plain,
( v10_lattices(k1_lattice2(sK0))
| ~ v3_struct_0(k1_lattice2(sK0))
| l3_lattices(k1_lattice2(sK0))
| ~ spl25_2
| ~ spl25_102 ),
inference(forward_subsumption_resolution,[],[f1491,f485]) ).
fof(f1525,plain,
( v10_lattices(k1_lattice2(sK0))
| l3_lattices(k1_lattice2(sK0))
| ~ spl25_2
| ~ spl25_3
| ~ spl25_102 ),
inference(forward_subsumption_resolution,[],[f1493,f488]) ).
fof(f1537,plain,
( v10_lattices(k1_lattice2(sK0))
| spl25_1
| ~ spl25_2
| ~ spl25_3
| ~ spl25_102 ),
inference(forward_subsumption_resolution,[],[f1525,f480]) ).
fof(f1546,plain,
( spl25_4
| spl25_1
| ~ spl25_2
| ~ spl25_3
| ~ spl25_102 ),
inference(avatar_split_clause,[],[f1537,f1189,f487,f483,f479,f491]) ).
fof(f1547,plain,
( v10_lattices(sK0)
| ~ v3_struct_0(sK0)
| l3_lattices(sK0)
| ~ spl25_4 ),
inference(resolution,[],[f493,f367]) ).
fof(f1550,plain,
( ~ v3_struct_0(sK0)
| l3_lattices(sK0)
| ~ spl25_4 ),
inference(forward_subsumption_resolution,[],[f1547,f304]) ).
fof(f1552,plain,
( l3_lattices(sK0)
| ~ spl25_4 ),
inference(forward_subsumption_resolution,[],[f1550,f303]) ).
fof(f1578,plain,
( $false
| ~ spl25_4 ),
inference(forward_subsumption_resolution,[],[f1552,f305]) ).
fof(f1579,plain,
~ spl25_4,
inference(avatar_contradiction_clause,[],[f1578]) ).
cnf(s1,plain,
( spl25_1
| spl25_2
| ~ spl25_3
| spl25_4 ),
inference(sat_conversion,[],[f494]) ).
cnf(s2,plain,
spl25_3,
inference(sat_conversion,[],[f498]) ).
cnf(s13,plain,
( spl25_19
| spl25_20
| spl25_21
| spl25_22
| spl25_23
| spl25_24
| spl25_44 ),
inference(sat_conversion,[],[f697]) ).
cnf(s15,plain,
~ spl25_1,
inference(sat_conversion,[],[f705]) ).
cnf(s32,plain,
~ spl25_19,
inference(sat_conversion,[],[f814]) ).
cnf(s46,plain,
~ spl25_20,
inference(sat_conversion,[],[f907]) ).
cnf(s47,plain,
spl25_45,
inference(sat_conversion,[],[f932]) ).
cnf(s51,plain,
~ spl25_23,
inference(sat_conversion,[],[f983]) ).
cnf(s56,plain,
~ spl25_21,
inference(sat_conversion,[],[f1022]) ).
cnf(s57,plain,
~ spl25_24,
inference(sat_conversion,[],[f1026]) ).
cnf(s73,plain,
~ spl25_22,
inference(sat_conversion,[],[f1103]) ).
cnf(s112,plain,
( ~ spl25_44
| ~ spl25_45
| spl25_102 ),
inference(sat_conversion,[],[f1471]) ).
cnf(s123,plain,
( spl25_1
| ~ spl25_2
| ~ spl25_3
| spl25_4
| ~ spl25_102 ),
inference(sat_conversion,[],[f1546]) ).
cnf(s125,plain,
~ spl25_4,
inference(sat_conversion,[],[f1579]) ).
cnf(s126,plain,
( spl25_1
| ~ spl25_2
| ~ spl25_3
| ~ spl25_102 ),
inference(rat,[],[s123,s125]) ).
cnf(s145,plain,
spl25_44,
inference(rat,[],[s13,s57,s51,s73,s56,s46,s32]) ).
cnf(s146,plain,
spl25_102,
inference(rat,[],[s112,s47,s145]) ).
cnf(s150,plain,
~ spl25_2,
inference(rat,[],[s126,s146,s15,s2]) ).
cnf(s151,plain,
$false,
inference(rat,[],[s1,s125,s2,s150,s15]) ).
fof(f1580,plain,
$false,
inference(avatar_sat_refutation,[],[s151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT304+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:24:17 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.47 % (4038573)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (4038579)% WARNING: option uhcvi not known.
% 0.16/0.47 % (4038579)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4032557303:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (4038580)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3098775297:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (4038578)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4040700716_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (4038581)dis+10_1_sil=32000:sp=arity:random_seed=539775450:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (4038583)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3256431225:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (4038582)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3447668476:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (4038584)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1011772159:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % TRYING [1]
% 0.16/0.47 % TRYING [2]
% 0.16/0.47 % (4038579) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4038573-4038579"...
% 0.16/0.47 % TRYING [3]
% 0.16/0.47 % (4038579)...printing done.
% 0.16/0.47 % (4038579)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Theorem for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (4038579)------------------------------
% 0.16/0.48 % (4038579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (4038579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (4038579)CaDiCaL version: 2.1.3
% 0.16/0.48 % (4038579)Termination reason: Refutation
% 0.16/0.48 % (4038579)Time elapsed: 0.018 s
% 0.16/0.48 % (4038579)Peak memory usage: 13 MB
% 0.16/0.48 % (4038579)Instructions burned: 47 (million)
% 0.16/0.48 % (4038573)Success in time 0.049 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------