%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT331+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 11:47:01 AM UTC 2026
% Result : Theorem 16.76s 3.99s
% Output : Refutation 18.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 126 ( 43 unt; 0 def)
% Number of atoms : 421 ( 125 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 460 ( 165 ~; 174 |; 96 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 94 ( 86 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6746,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f8572,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_filter_0(X1,X0) )
=> ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_filter_0) ).
fof(f8642,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_0(X1,X0)
=> ( u1_struct_0(k8_filter_0(X0,X1)) = X1
& u2_lattices(k8_filter_0(X0,X1)) = k1_realset1(u2_lattices(X0),X1)
& u1_lattices(k8_filter_0(X0,X1)) = k1_realset1(u1_lattices(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_filter_0) ).
fof(f8684,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0)
& m1_filter_0(X1,X0) )
=> ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1))
& l3_lattices(k8_filter_0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_filter_0) ).
fof(f9391,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f13531,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/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f13581,axiom,
! [X0] :
( l3_lattices(X0)
=> ! [X1] :
( l3_lattices(X1)
=> ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
=> k1_lattice2(X0) = k1_lattice2(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_filter_2) ).
fof(f13582,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_filter_2) ).
fof(f13663,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X0)
=> ! [X3] :
( m1_filter_2(X3,X1)
=> ( ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& X2 = X3 )
=> k8_filter_0(X0,X2) = k8_filter_0(X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_filter_2) ).
fof(f13664,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X0)
=> ! [X3] :
( m1_filter_2(X3,X1)
=> ( ( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& X2 = X3 )
=> k8_filter_0(X0,X2) = k8_filter_0(X1,X3) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13663]) ).
fof(f13711,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,[],[f13531]) ).
fof(f13712,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,[],[f13711]) ).
fof(f13810,plain,
! [X0] :
( ! [X1] :
( k1_lattice2(X0) = k1_lattice2(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13581]) ).
fof(f13811,plain,
! [X0] :
( ! [X1] :
( k1_lattice2(X0) = k1_lattice2(X1)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1) )
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13810]) ).
fof(f13812,plain,
! [X0] :
( k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13582]) ).
fof(f13813,plain,
! [X0] :
( k1_lattice2(k1_lattice2(X0)) = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f13812]) ).
fof(f13972,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k8_filter_0(X0,X2) != k8_filter_0(X1,X3)
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& X2 = X3
& m1_filter_2(X3,X1) )
& m1_filter_2(X2,X0) )
& ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f13664]) ).
fof(f13973,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k8_filter_0(X0,X2) != k8_filter_0(X1,X3)
& g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& X2 = X3
& m1_filter_2(X3,X1) )
& m1_filter_2(X2,X0) )
& ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f13972]) ).
fof(f14102,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f9391]) ).
fof(f14103,plain,
! [X0] :
( ( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
& u2_lattices(X0) = u1_lattices(k1_lattice2(X0))
& u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14102]) ).
fof(f14124,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f6746]) ).
fof(f14125,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14124]) ).
fof(f14533,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1))
& l3_lattices(k8_filter_0(X0,X1)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(ennf_transformation,[],[f8684]) ).
fof(f14534,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1))
& l3_lattices(k8_filter_0(X0,X1)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(flattening,[],[f14533]) ).
fof(f14545,plain,
! [X0] :
( ! [X1] :
( ( u1_struct_0(k8_filter_0(X0,X1)) = X1
& u2_lattices(k8_filter_0(X0,X1)) = k1_realset1(u2_lattices(X0),X1)
& u1_lattices(k8_filter_0(X0,X1)) = k1_realset1(u1_lattices(X0),X1) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f8642]) ).
fof(f14546,plain,
! [X0] :
( ! [X1] :
( ( u1_struct_0(k8_filter_0(X0,X1)) = X1
& u2_lattices(k8_filter_0(X0,X1)) = k1_realset1(u2_lattices(X0),X1)
& u1_lattices(k8_filter_0(X0,X1)) = k1_realset1(u1_lattices(X0),X1) )
| ~ m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f14545]) ).
fof(f14549,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(ennf_transformation,[],[f8572]) ).
fof(f14550,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k8_filter_0(X0,X1))
& v3_lattices(k8_filter_0(X0,X1))
& v4_lattices(k8_filter_0(X0,X1))
& v5_lattices(k8_filter_0(X0,X1))
& v6_lattices(k8_filter_0(X0,X1))
& v7_lattices(k8_filter_0(X0,X1))
& v8_lattices(k8_filter_0(X0,X1))
& v9_lattices(k8_filter_0(X0,X1))
& v10_lattices(k8_filter_0(X0,X1)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(flattening,[],[f14549]) ).
fof(f18313,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f13712]) ).
fof(f18374,plain,
( k8_filter_0(sK44,sK46) != k8_filter_0(sK45,sK47)
& g3_lattices(u1_struct_0(sK44),u2_lattices(sK44),u1_lattices(sK44)) = g3_lattices(u1_struct_0(sK45),u2_lattices(sK45),u1_lattices(sK45))
& sK46 = sK47
& m1_filter_2(sK47,sK45)
& m1_filter_2(sK46,sK44)
& ~ v3_struct_0(sK45)
& v10_lattices(sK45)
& l3_lattices(sK45)
& ~ v3_struct_0(sK44)
& v10_lattices(sK44)
& l3_lattices(sK44) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44,sK45,sK46,sK47]),skolemize(X0,sK44),skolemize(X1,sK45),skolemize(X2,sK46),skolemize(X3,sK47)],[f13973]) ).
fof(f19825,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| ~ m1_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f18313]) ).
fof(f19891,plain,
! [X0,X1] :
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| k1_lattice2(X0) = k1_lattice2(X1) ),
inference(cnf_transformation,[],[f13811]) ).
fof(f19892,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = k1_lattice2(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f13813]) ).
fof(f20116,plain,
l3_lattices(sK44),
inference(cnf_transformation,[],[f18374]) ).
fof(f20117,plain,
v10_lattices(sK44),
inference(cnf_transformation,[],[f18374]) ).
fof(f20118,plain,
~ v3_struct_0(sK44),
inference(cnf_transformation,[],[f18374]) ).
fof(f20119,plain,
l3_lattices(sK45),
inference(cnf_transformation,[],[f18374]) ).
fof(f20120,plain,
v10_lattices(sK45),
inference(cnf_transformation,[],[f18374]) ).
fof(f20121,plain,
~ v3_struct_0(sK45),
inference(cnf_transformation,[],[f18374]) ).
fof(f20122,plain,
m1_filter_2(sK46,sK44),
inference(cnf_transformation,[],[f18374]) ).
fof(f20123,plain,
m1_filter_2(sK47,sK45),
inference(cnf_transformation,[],[f18374]) ).
fof(f20124,plain,
sK46 = sK47,
inference(cnf_transformation,[],[f18374]) ).
fof(f20125,plain,
g3_lattices(u1_struct_0(sK44),u2_lattices(sK44),u1_lattices(sK44)) = g3_lattices(u1_struct_0(sK45),u2_lattices(sK45),u1_lattices(sK45)),
inference(cnf_transformation,[],[f18374]) ).
fof(f20126,plain,
k8_filter_0(sK44,sK46) != k8_filter_0(sK45,sK47),
inference(cnf_transformation,[],[f18374]) ).
fof(f20254,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u1_lattices(X0) = u2_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f14103]) ).
fof(f20255,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| u2_lattices(X0) = u1_lattices(k1_lattice2(X0)) ),
inference(cnf_transformation,[],[f14103]) ).
fof(f20305,plain,
! [X0] :
( ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14125]) ).
fof(f20975,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| l3_lattices(k8_filter_0(X0,X1)) ),
inference(cnf_transformation,[],[f14534]) ).
fof(f20985,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| k1_realset1(u1_lattices(X0),X1) = u1_lattices(k8_filter_0(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14546]) ).
fof(f20986,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| k1_realset1(u2_lattices(X0),X1) = u2_lattices(k8_filter_0(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14546]) ).
fof(f20987,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| u1_struct_0(k8_filter_0(X0,X1)) = X1
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f14546]) ).
fof(f21005,plain,
! [X0,X1] :
( v3_lattices(k8_filter_0(X0,X1))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0) ),
inference(cnf_transformation,[],[f14550]) ).
fof(f26200,plain,
k8_filter_0(sK45,sK47) != k8_filter_0(sK44,sK47),
inference(definition_unfolding,[],[f20126,f20124]) ).
fof(f26201,plain,
m1_filter_2(sK47,sK44),
inference(definition_unfolding,[],[f20122,f20124]) ).
fof(f29009,plain,
( v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| g3_lattices(u1_struct_0(sK44),u2_lattices(sK44),u1_lattices(sK44)) = k1_lattice2(k1_lattice2(sK44)) ),
inference(resolution,[],[f19892,f20116]) ).
fof(f29012,plain,
( ~ v10_lattices(sK44)
| g3_lattices(u1_struct_0(sK44),u2_lattices(sK44),u1_lattices(sK44)) = k1_lattice2(k1_lattice2(sK44)) ),
inference(forward_subsumption_resolution,[],[f29009,f20118]) ).
fof(f29014,plain,
g3_lattices(u1_struct_0(sK44),u2_lattices(sK44),u1_lattices(sK44)) = k1_lattice2(k1_lattice2(sK44)),
inference(forward_subsumption_resolution,[],[f29012,f20117]) ).
fof(f29015,plain,
! [X0] :
( ~ m1_filter_2(X0,sK44)
| v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| m1_filter_0(X0,sK44) ),
inference(resolution,[],[f19825,f20116]) ).
fof(f29016,plain,
! [X0] :
( ~ m1_filter_2(X0,sK45)
| v3_struct_0(sK45)
| ~ v10_lattices(sK45)
| m1_filter_0(X0,sK45) ),
inference(resolution,[],[f19825,f20119]) ).
fof(f29017,plain,
! [X0] :
( ~ m1_filter_2(X0,sK45)
| ~ v10_lattices(sK45)
| m1_filter_0(X0,sK45) ),
inference(forward_subsumption_resolution,[],[f29016,f20121]) ).
fof(f29018,plain,
! [X0] :
( ~ m1_filter_2(X0,sK44)
| ~ v10_lattices(sK44)
| m1_filter_0(X0,sK44) ),
inference(forward_subsumption_resolution,[],[f29015,f20118]) ).
fof(f29019,plain,
! [X0] :
( ~ m1_filter_2(X0,sK45)
| m1_filter_0(X0,sK45) ),
inference(forward_subsumption_resolution,[],[f29017,f20120]) ).
fof(f29020,plain,
! [X0] :
( ~ m1_filter_2(X0,sK44)
| m1_filter_0(X0,sK44) ),
inference(forward_subsumption_resolution,[],[f29018,f20117]) ).
fof(f29029,plain,
m1_filter_0(sK47,sK44),
inference(resolution,[],[f29020,f26201]) ).
fof(f29031,plain,
( k1_realset1(u2_lattices(sK44),sK47) = u2_lattices(k8_filter_0(sK44,sK47))
| v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f29029,f20986]) ).
fof(f29032,plain,
( k1_realset1(u1_lattices(sK44),sK47) = u1_lattices(k8_filter_0(sK44,sK47))
| v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f29029,f20985]) ).
fof(f29033,plain,
( sK47 = u1_struct_0(k8_filter_0(sK44,sK47))
| v3_struct_0(sK44)
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44) ),
inference(resolution,[],[f29029,f20987]) ).
fof(f29034,plain,
( sK47 = u1_struct_0(k8_filter_0(sK44,sK47))
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f29033,f20118]) ).
fof(f29035,plain,
( k1_realset1(u1_lattices(sK44),sK47) = u1_lattices(k8_filter_0(sK44,sK47))
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f29032,f20118]) ).
fof(f29036,plain,
( k1_realset1(u2_lattices(sK44),sK47) = u2_lattices(k8_filter_0(sK44,sK47))
| ~ v10_lattices(sK44)
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f29031,f20118]) ).
fof(f29038,plain,
( sK47 = u1_struct_0(k8_filter_0(sK44,sK47))
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f29034,f20117]) ).
fof(f29039,plain,
( k1_realset1(u1_lattices(sK44),sK47) = u1_lattices(k8_filter_0(sK44,sK47))
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f29035,f20117]) ).
fof(f29040,plain,
( k1_realset1(u2_lattices(sK44),sK47) = u2_lattices(k8_filter_0(sK44,sK47))
| ~ l3_lattices(sK44) ),
inference(forward_subsumption_resolution,[],[f29036,f20117]) ).
fof(f29042,plain,
sK47 = u1_struct_0(k8_filter_0(sK44,sK47)),
inference(forward_subsumption_resolution,[],[f29038,f20116]) ).
fof(f29043,plain,
k1_realset1(u1_lattices(sK44),sK47) = u1_lattices(k8_filter_0(sK44,sK47)),
inference(forward_subsumption_resolution,[],[f29039,f20116]) ).
fof(f29044,plain,
k1_realset1(u2_lattices(sK44),sK47) = u2_lattices(k8_filter_0(sK44,sK47)),
inference(forward_subsumption_resolution,[],[f29040,f20116]) ).
fof(f29075,plain,
m1_filter_0(sK47,sK45),
inference(resolution,[],[f29019,f20123]) ).
fof(f29077,plain,
( k1_realset1(u2_lattices(sK45),sK47) = u2_lattices(k8_filter_0(sK45,sK47))
| v3_struct_0(sK45)
| ~ v10_lattices(sK45)
| ~ l3_lattices(sK45) ),
inference(resolution,[],[f29075,f20986]) ).
fof(f29078,plain,
( k1_realset1(u1_lattices(sK45),sK47) = u1_lattices(k8_filter_0(sK45,sK47))
| v3_struct_0(sK45)
| ~ v10_lattices(sK45)
| ~ l3_lattices(sK45) ),
inference(resolution,[],[f29075,f20985]) ).
fof(f29079,plain,
( sK47 = u1_struct_0(k8_filter_0(sK45,sK47))
| v3_struct_0(sK45)
| ~ v10_lattices(sK45)
| ~ l3_lattices(sK45) ),
inference(resolution,[],[f29075,f20987]) ).
fof(f29080,plain,
( sK47 = u1_struct_0(k8_filter_0(sK45,sK47))
| ~ v10_lattices(sK45)
| ~ l3_lattices(sK45) ),
inference(forward_subsumption_resolution,[],[f29079,f20121]) ).
fof(f29081,plain,
( k1_realset1(u1_lattices(sK45),sK47) = u1_lattices(k8_filter_0(sK45,sK47))
| ~ v10_lattices(sK45)
| ~ l3_lattices(sK45) ),
inference(forward_subsumption_resolution,[],[f29078,f20121]) ).
fof(f29082,plain,
( k1_realset1(u2_lattices(sK45),sK47) = u2_lattices(k8_filter_0(sK45,sK47))
| ~ v10_lattices(sK45)
| ~ l3_lattices(sK45) ),
inference(forward_subsumption_resolution,[],[f29077,f20121]) ).
fof(f29084,plain,
( sK47 = u1_struct_0(k8_filter_0(sK45,sK47))
| ~ l3_lattices(sK45) ),
inference(forward_subsumption_resolution,[],[f29080,f20120]) ).
fof(f29085,plain,
( k1_realset1(u1_lattices(sK45),sK47) = u1_lattices(k8_filter_0(sK45,sK47))
| ~ l3_lattices(sK45) ),
inference(forward_subsumption_resolution,[],[f29081,f20120]) ).
fof(f29086,plain,
( k1_realset1(u2_lattices(sK45),sK47) = u2_lattices(k8_filter_0(sK45,sK47))
| ~ l3_lattices(sK45) ),
inference(forward_subsumption_resolution,[],[f29082,f20120]) ).
fof(f29088,plain,
sK47 = u1_struct_0(k8_filter_0(sK45,sK47)),
inference(forward_subsumption_resolution,[],[f29084,f20119]) ).
fof(f29089,plain,
k1_realset1(u1_lattices(sK45),sK47) = u1_lattices(k8_filter_0(sK45,sK47)),
inference(forward_subsumption_resolution,[],[f29085,f20119]) ).
fof(f29090,plain,
k1_realset1(u2_lattices(sK45),sK47) = u2_lattices(k8_filter_0(sK45,sK47)),
inference(forward_subsumption_resolution,[],[f29086,f20119]) ).
fof(f29121,plain,
( v3_struct_0(sK44)
| u1_lattices(sK44) = u2_lattices(k1_lattice2(sK44)) ),
inference(resolution,[],[f20254,f20116]) ).
fof(f29122,plain,
( v3_struct_0(sK45)
| u1_lattices(sK45) = u2_lattices(k1_lattice2(sK45)) ),
inference(resolution,[],[f20254,f20119]) ).
fof(f29127,plain,
u1_lattices(sK45) = u2_lattices(k1_lattice2(sK45)),
inference(forward_subsumption_resolution,[],[f29122,f20121]) ).
fof(f29128,plain,
u1_lattices(sK44) = u2_lattices(k1_lattice2(sK44)),
inference(forward_subsumption_resolution,[],[f29121,f20118]) ).
fof(f29137,plain,
( v3_struct_0(sK44)
| u2_lattices(sK44) = u1_lattices(k1_lattice2(sK44)) ),
inference(resolution,[],[f20255,f20116]) ).
fof(f29138,plain,
( v3_struct_0(sK45)
| u2_lattices(sK45) = u1_lattices(k1_lattice2(sK45)) ),
inference(resolution,[],[f20255,f20119]) ).
fof(f29141,plain,
u2_lattices(sK45) = u1_lattices(k1_lattice2(sK45)),
inference(forward_subsumption_resolution,[],[f29138,f20121]) ).
fof(f29142,plain,
u2_lattices(sK44) = u1_lattices(k1_lattice2(sK44)),
inference(forward_subsumption_resolution,[],[f29137,f20118]) ).
fof(f29173,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK45),u2_lattices(sK45),u1_lattices(sK45))
| ~ l3_lattices(X0)
| k1_lattice2(X0) = k1_lattice2(sK45) ),
inference(resolution,[],[f19891,f20119]) ).
fof(f29178,plain,
! [X0] :
( g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != g3_lattices(u1_struct_0(sK44),u2_lattices(sK44),u1_lattices(sK44))
| ~ l3_lattices(X0)
| k1_lattice2(X0) = k1_lattice2(sK45) ),
inference(forward_demodulation,[],[f29173,f20125]) ).
fof(f29182,plain,
! [X0] :
( ~ l3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) != k1_lattice2(k1_lattice2(sK44))
| k1_lattice2(X0) = k1_lattice2(sK45) ),
inference(forward_demodulation,[],[f29178,f29014]) ).
fof(f29185,plain,
( g3_lattices(u1_struct_0(sK44),u2_lattices(sK44),u1_lattices(sK44)) != k1_lattice2(k1_lattice2(sK44))
| k1_lattice2(sK44) = k1_lattice2(sK45) ),
inference(resolution,[],[f29182,f20116]) ).
fof(f29191,plain,
k1_lattice2(sK44) = k1_lattice2(sK45),
inference(forward_subsumption_resolution,[],[f29185,f29014]) ).
fof(f29213,plain,
u2_lattices(sK45) = u1_lattices(k1_lattice2(sK44)),
inference(superposition,[],[f29141,f29191]) ).
fof(f29214,plain,
u1_lattices(sK45) = u2_lattices(k1_lattice2(sK44)),
inference(superposition,[],[f29127,f29191]) ).
fof(f29215,plain,
u1_lattices(sK44) = u1_lattices(sK45),
inference(forward_demodulation,[],[f29214,f29128]) ).
fof(f29216,plain,
u2_lattices(sK44) = u2_lattices(sK45),
inference(forward_demodulation,[],[f29213,f29142]) ).
fof(f29591,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| k8_filter_0(X0,X1) = g3_lattices(u1_struct_0(k8_filter_0(X0,X1)),u2_lattices(k8_filter_0(X0,X1)),u1_lattices(k8_filter_0(X0,X1)))
| ~ l3_lattices(k8_filter_0(X0,X1)) ),
inference(resolution,[],[f21005,f20305]) ).
fof(f29592,plain,
! [X0,X1] :
( ~ v10_lattices(X0)
| v3_struct_0(X0)
| ~ l3_lattices(X0)
| ~ m1_filter_0(X1,X0)
| k8_filter_0(X0,X1) = g3_lattices(u1_struct_0(k8_filter_0(X0,X1)),u2_lattices(k8_filter_0(X0,X1)),u1_lattices(k8_filter_0(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f29591,f20975]) ).
fof(f29597,plain,
! [X0] :
( v3_struct_0(sK44)
| ~ l3_lattices(sK44)
| ~ m1_filter_0(X0,sK44)
| k8_filter_0(sK44,X0) = g3_lattices(u1_struct_0(k8_filter_0(sK44,X0)),u2_lattices(k8_filter_0(sK44,X0)),u1_lattices(k8_filter_0(sK44,X0))) ),
inference(resolution,[],[f29592,f20117]) ).
fof(f29598,plain,
! [X0] :
( v3_struct_0(sK45)
| ~ l3_lattices(sK45)
| ~ m1_filter_0(X0,sK45)
| k8_filter_0(sK45,X0) = g3_lattices(u1_struct_0(k8_filter_0(sK45,X0)),u2_lattices(k8_filter_0(sK45,X0)),u1_lattices(k8_filter_0(sK45,X0))) ),
inference(resolution,[],[f29592,f20120]) ).
fof(f29599,plain,
! [X0] :
( ~ l3_lattices(sK45)
| ~ m1_filter_0(X0,sK45)
| k8_filter_0(sK45,X0) = g3_lattices(u1_struct_0(k8_filter_0(sK45,X0)),u2_lattices(k8_filter_0(sK45,X0)),u1_lattices(k8_filter_0(sK45,X0))) ),
inference(forward_subsumption_resolution,[],[f29598,f20121]) ).
fof(f29600,plain,
! [X0] :
( ~ l3_lattices(sK44)
| ~ m1_filter_0(X0,sK44)
| k8_filter_0(sK44,X0) = g3_lattices(u1_struct_0(k8_filter_0(sK44,X0)),u2_lattices(k8_filter_0(sK44,X0)),u1_lattices(k8_filter_0(sK44,X0))) ),
inference(forward_subsumption_resolution,[],[f29597,f20118]) ).
fof(f29603,plain,
! [X0] :
( ~ m1_filter_0(X0,sK45)
| k8_filter_0(sK45,X0) = g3_lattices(u1_struct_0(k8_filter_0(sK45,X0)),u2_lattices(k8_filter_0(sK45,X0)),u1_lattices(k8_filter_0(sK45,X0))) ),
inference(forward_subsumption_resolution,[],[f29599,f20119]) ).
fof(f29604,plain,
! [X0] :
( ~ m1_filter_0(X0,sK44)
| k8_filter_0(sK44,X0) = g3_lattices(u1_struct_0(k8_filter_0(sK44,X0)),u2_lattices(k8_filter_0(sK44,X0)),u1_lattices(k8_filter_0(sK44,X0))) ),
inference(forward_subsumption_resolution,[],[f29600,f20116]) ).
fof(f29607,plain,
k8_filter_0(sK45,sK47) = g3_lattices(u1_struct_0(k8_filter_0(sK45,sK47)),u2_lattices(k8_filter_0(sK45,sK47)),u1_lattices(k8_filter_0(sK45,sK47))),
inference(resolution,[],[f29603,f29075]) ).
fof(f29610,plain,
k8_filter_0(sK45,sK47) = g3_lattices(u1_struct_0(k8_filter_0(sK45,sK47)),u2_lattices(k8_filter_0(sK45,sK47)),k1_realset1(u1_lattices(sK45),sK47)),
inference(forward_demodulation,[],[f29607,f29089]) ).
fof(f29612,plain,
k8_filter_0(sK45,sK47) = g3_lattices(u1_struct_0(k8_filter_0(sK45,sK47)),u2_lattices(k8_filter_0(sK45,sK47)),k1_realset1(u1_lattices(sK44),sK47)),
inference(forward_demodulation,[],[f29610,f29215]) ).
fof(f29614,plain,
k8_filter_0(sK45,sK47) = g3_lattices(u1_struct_0(k8_filter_0(sK45,sK47)),k1_realset1(u2_lattices(sK45),sK47),k1_realset1(u1_lattices(sK44),sK47)),
inference(forward_demodulation,[],[f29612,f29090]) ).
fof(f29615,plain,
k8_filter_0(sK45,sK47) = g3_lattices(u1_struct_0(k8_filter_0(sK45,sK47)),k1_realset1(u2_lattices(sK44),sK47),k1_realset1(u1_lattices(sK44),sK47)),
inference(forward_demodulation,[],[f29614,f29216]) ).
fof(f29616,plain,
k8_filter_0(sK45,sK47) = g3_lattices(sK47,k1_realset1(u2_lattices(sK44),sK47),k1_realset1(u1_lattices(sK44),sK47)),
inference(forward_demodulation,[],[f29615,f29088]) ).
fof(f29617,plain,
k8_filter_0(sK44,sK47) = g3_lattices(u1_struct_0(k8_filter_0(sK44,sK47)),u2_lattices(k8_filter_0(sK44,sK47)),u1_lattices(k8_filter_0(sK44,sK47))),
inference(resolution,[],[f29604,f29029]) ).
fof(f29620,plain,
k8_filter_0(sK44,sK47) = g3_lattices(u1_struct_0(k8_filter_0(sK44,sK47)),u2_lattices(k8_filter_0(sK44,sK47)),k1_realset1(u1_lattices(sK44),sK47)),
inference(forward_demodulation,[],[f29617,f29043]) ).
fof(f29622,plain,
k8_filter_0(sK44,sK47) = g3_lattices(u1_struct_0(k8_filter_0(sK44,sK47)),k1_realset1(u2_lattices(sK44),sK47),k1_realset1(u1_lattices(sK44),sK47)),
inference(forward_demodulation,[],[f29620,f29044]) ).
fof(f29624,plain,
k8_filter_0(sK44,sK47) = g3_lattices(sK47,k1_realset1(u2_lattices(sK44),sK47),k1_realset1(u1_lattices(sK44),sK47)),
inference(forward_demodulation,[],[f29622,f29042]) ).
fof(f29626,plain,
k8_filter_0(sK45,sK47) = k8_filter_0(sK44,sK47),
inference(superposition,[],[f29616,f29624]) ).
fof(f29627,plain,
$false,
inference(forward_subsumption_resolution,[],[f29626,f26200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT331+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 14:44:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.09/3.58 % (2910975)Detected formulas, will run a generic FOF schedule.
% 14.09/3.58 % (2910981)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=3226198382:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 14.09/3.58 % (2910985)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1916946719:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 14.09/3.58 % (2910980)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=1970190082:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 14.09/3.58 % (2910983)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=946140730:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 14.09/3.58 % (2910984)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3119447509:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 14.09/3.58 % (2910986)dis-21_1_sil=8000:lcm=predicate:random_seed=1727446301:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 14.09/3.58 % (2910982)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=3680271590:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 14.09/3.58 % (2910985)Instruction limit reached!
% 14.09/3.58 % (2910985)------------------------------
% 14.09/3.58 % (2910985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/3.58 % (2910985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/3.58 % (2910985)CaDiCaL version: 2.1.3
% 14.09/3.58 % (2910985)Termination reason: Instruction limit
% 14.09/3.58 % (2910985)Termination phase: Property scanning
% 14.09/3.58 % (2910985)Time elapsed: 0.059 s
% 14.09/3.58 % (2910985)Peak memory usage: 102 MB
% 14.09/3.58 % (2910985)Instructions burned: 140 (million)
% 14.09/3.58 % (2910983)Instruction limit reached!
% 14.09/3.58 % (2910983)------------------------------
% 14.09/3.58 % (2910983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/3.58 % (2910983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/3.58 % (2910983)CaDiCaL version: 2.1.3
% 14.09/3.58 % (2910983)Termination reason: Instruction limit
% 14.09/3.58 % (2910983)Termination phase: Saturation
% 14.09/3.58 % (2910983)Time elapsed: 0.084 s
% 14.09/3.58 % (2910983)Peak memory usage: 107 MB
% 14.09/3.58 % (2910983)Instructions burned: 110 (million)
% 14.09/3.58 % (2910986)Instruction limit reached!
% 14.09/3.58 % (2910986)------------------------------
% 14.09/3.58 % (2910986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/3.58 % (2910986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/3.58 % (2910986)CaDiCaL version: 2.1.3
% 14.09/3.58 % (2910986)Termination reason: Instruction limit
% 14.09/3.58 % (2910986)Termination phase: Preprocessing 1
% 14.09/3.58 % (2910986)Time elapsed: 0.094 s
% 14.09/3.58 % (2910986)Peak memory usage: 103 MB
% 14.09/3.58 % (2910986)Instructions burned: 129 (million)
% 14.09/3.58 % (2910984)Instruction limit reached!
% 14.09/3.58 % (2910984)------------------------------
% 14.09/3.58 % (2910984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/3.58 % (2910984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/3.58 % (2910984)CaDiCaL version: 2.1.3
% 14.09/3.58 % (2910984)Termination reason: Instruction limit
% 14.09/3.58 % (2910984)Termination phase: Property scanning
% 14.09/3.58 % (2910984)Time elapsed: 0.097 s
% 14.09/3.58 % (2910984)Peak memory usage: 105 MB
% 14.09/3.58 % (2910984)Instructions burned: 129 (million)
% 14.09/3.58 % (2910994)lrs+10_1_sil=8000:sp=occurrence:random_seed=1143690171:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 14.09/3.58 % (2910997)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=633377272:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 14.09/3.58 % (2910995)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2980203081:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 14.09/3.58 % (2910996)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3185401077:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 14.09/3.58 % (2910995)Instruction limit reached!
% 16.76/3.99 % (2910995)------------------------------
% 16.76/3.99 % (2910995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.99 % (2910995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.99 % (2910995)CaDiCaL version: 2.1.3
% 16.76/3.99 % (2910995)Termination reason: Instruction limit
% 16.76/3.99 % (2910995)Termination phase: Property scanning
% 16.76/3.99 % (2910995)Time elapsed: 0.067 s
% 16.76/3.99 % (2910995)Peak memory usage: 102 MB
% 16.76/3.99 % (2910995)Instructions burned: 158 (million)
% 16.76/3.99 % (2910997)Instruction limit reached!
% 16.76/3.99 % (2910997)------------------------------
% 16.76/3.99 % (2910997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.99 % (2910997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.99 % (2910997)CaDiCaL version: 2.1.3
% 16.76/3.99 % (2910997)Termination reason: Instruction limit
% 16.76/3.99 % (2910997)Termination phase: SInE selection
% 16.76/3.99 % (2910997)Time elapsed: 0.124 s
% 16.76/3.99 % (2910997)Peak memory usage: 103 MB
% 16.76/3.99 % (2910997)Instructions burned: 248 (million)
% 16.76/3.99 % (2910994)Instruction limit reached!
% 16.76/3.99 % (2910994)------------------------------
% 16.76/3.99 % (2910994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.99 % (2910994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.99 % (2910994)CaDiCaL version: 2.1.3
% 16.76/3.99 % (2910994)Termination reason: Instruction limit
% 16.76/3.99 % (2910994)Termination phase: Saturation
% 16.76/3.99 % (2910994)Time elapsed: 0.197 s
% 16.76/3.99 % (2910994)Peak memory usage: 110 MB
% 16.76/3.99 % (2910994)Instructions burned: 286 (million)
% 16.76/3.99 % (2911002)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2936218344:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 16.76/3.99 % (2910996)Instruction limit reached!
% 16.76/3.99 % (2910996)------------------------------
% 16.76/3.99 % (2910996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.99 % (2910996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.99 % (2910996)CaDiCaL version: 2.1.3
% 16.76/3.99 % (2910996)Termination reason: Instruction limit
% 16.76/3.99 % (2910996)Termination phase: Saturation
% 16.76/3.99 % (2910996)Time elapsed: 0.224 s
% 16.76/3.99 % (2910996)Peak memory usage: 110 MB
% 16.76/3.99 % (2910996)Instructions burned: 326 (million)
% 16.76/3.99 % (2911003)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3058743765:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 16.76/3.99 % (2911004)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3634485542:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 16.76/3.99 % (2911006)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=33906773:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 16.76/3.99 % (2911002)Instruction limit reached!
% 16.76/3.99 % (2911002)------------------------------
% 16.76/3.99 % (2911002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.99 % (2911002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.99 % (2911002)CaDiCaL version: 2.1.3
% 16.76/3.99 % (2911002)Termination reason: Instruction limit
% 16.76/3.99 % (2911002)Termination phase: Saturation
% 16.76/3.99 % (2911002)Time elapsed: 0.190 s
% 16.76/3.99 % (2911002)Peak memory usage: 110 MB
% 16.76/3.99 % (2911002)Instructions burned: 294 (million)
% 16.76/3.99 % (2911004)Instruction limit reached!
% 16.76/3.99 % (2911004)------------------------------
% 16.76/3.99 % (2911004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.99 % (2911004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.99 % (2911004)CaDiCaL version: 2.1.3
% 16.76/3.99 % (2911004)Termination reason: Instruction limit
% 16.76/3.99 % (2911004)Termination phase: Preprocessing 3
% 16.76/3.99 % (2911004)Time elapsed: 0.096 s
% 16.76/3.99 % (2911004)Peak memory usage: 105 MB
% 16.76/3.99 % (2911004)Instructions burned: 113 (million)
% 16.76/3.99 % (2911006)Instruction limit reached!
% 16.76/3.99 % (2911006)------------------------------
% 16.76/3.99 % (2911006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.99 % (2911006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.99 % (2911006)CaDiCaL version: 2.1.3
% 16.76/3.99 % (2911006)Termination reason: Instruction limit
% 16.76/3.99 % (2911006)Termination phase: Preprocessing 2
% 16.76/3.99 % (2911006)Time elapsed: 0.099 s
% 16.76/3.99 % (2911006)Peak memory usage: 106 MB
% 16.76/3.99 % (2911006)Instructions burned: 127 (million)
% 16.76/3.99 % (2911010)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=779369934:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 16.76/3.99 % (2911011)lrs+10_1_sil=8000:sp=occurrence:random_seed=543897311:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 16.76/3.99 % (2911010)Instruction limit reached!
% 16.76/3.99 % (2911010)------------------------------
% 16.76/3.99 % (2911010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.99 % (2911010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.99 % (2911010)CaDiCaL version: 2.1.3
% 16.76/3.99 % (2911010)Termination reason: Instruction limit
% 16.76/3.99 % (2911010)Termination phase: Property scanning
% 16.76/3.99 % (2911010)Time elapsed: 0.048 s
% 16.76/3.99 % (2911010)Peak memory usage: 102 MB
% 16.76/3.99 % (2911010)Instructions burned: 114 (million)
% 16.76/3.99 % (2911012)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3512250499:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 16.76/3.99 % (2911015)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1102345480:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 16.76/3.99 % (2911012)Instruction limit reached!
% 16.76/3.99 % (2911012)------------------------------
% 16.76/3.99 % (2911012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.99 % (2911012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.99 % (2911012)CaDiCaL version: 2.1.3
% 16.76/3.99 % (2911012)Termination reason: Instruction limit
% 16.76/3.99 % (2911012)Termination phase: Saturation
% 16.76/3.99 % (2911012)Time elapsed: 0.260 s
% 16.76/3.99 % (2911012)Peak memory usage: 110 MB
% 16.76/3.99 % (2911012)Instructions burned: 438 (million)
% 16.76/3.99 % (2911018)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2021371010:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 16.76/3.99 % (2911018)Instruction limit reached!
% 16.76/3.99 % (2911018)------------------------------
% 16.76/3.99 % (2911018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.99 % (2911018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.99 % (2911018)CaDiCaL version: 2.1.3
% 16.76/3.99 % (2911018)Termination reason: Instruction limit
% 16.76/3.99 % (2911018)Termination phase: Property scanning
% 16.76/3.99 % (2911018)Time elapsed: 0.101 s
% 16.76/3.99 % (2911018)Peak memory usage: 106 MB
% 16.76/3.99 % (2911018)Instructions burned: 134 (million)
% 16.76/3.99 % (2911011)Instruction limit reached!
% 16.76/3.99 % (2911011)------------------------------
% 16.76/3.99 % (2911011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.99 % (2911011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.99 % (2911011)CaDiCaL version: 2.1.3
% 16.76/3.99 % (2911011)Termination reason: Instruction limit
% 16.76/3.99 % (2911011)Termination phase: Saturation
% 16.76/3.99 % (2911011)Time elapsed: 0.578 s
% 16.76/3.99 % (2911011)Peak memory usage: 121 MB
% 16.76/3.99 % (2911011)Instructions burned: 907 (million)
% 16.76/3.99 % (2911020)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=484659320:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 16.76/3.99 % (2911021)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4192739987:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 16.76/3.99 % (2911020)Instruction limit reached!
% 16.76/3.99 % (2911020)------------------------------
% 16.76/3.99 % (2911020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.99 % (2911020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.99 % (2911020)CaDiCaL version: 2.1.3
% 16.76/3.99 % (2911020)Termination reason: Instruction limit
% 16.76/3.99 % (2911020)Termination phase: Property scanning
% 16.76/3.99 % (2911020)Time elapsed: 0.391 s
% 16.76/3.99 % (2911020)Peak memory usage: 123 MB
% 16.76/3.99 % (2911020)Instructions burned: 593 (million)
% 16.76/3.99 % (2911003)Instruction limit reached!
% 16.76/3.99 % (2911003)------------------------------
% 16.76/3.99 % (2911003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.99 % (2911003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.99 % (2911003)CaDiCaL version: 2.1.3
% 16.76/3.99 % (2911003)Termination reason: Instruction limit
% 16.76/3.99 % (2911003)Termination phase: Saturation
% 16.76/3.99 % (2911003)Time elapsed: 1.427 s
% 16.76/3.99 % (2911003)Peak memory usage: 240 MB
% 16.76/3.99 % (2911003)Instructions burned: 2351 (million)
% 16.76/3.99 % (2910981)First to succeed.
% 16.76/3.99 % (2910981)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2910975"
% 16.76/3.99 % (2911024)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=563292135:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 16.76/3.99 % (2911025)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1641284913:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 16.76/3.99 % (2911024)Instruction limit reached!
% 16.76/3.99 % (2911024)------------------------------
% 16.76/3.99 % (2911024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.99 % (2911024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.99 % (2911024)CaDiCaL version: 2.1.3
% 16.76/3.99 % (2911024)Termination reason: Instruction limit
% 16.76/3.99 % (2911024)Termination phase: Property scanning
% 16.76/3.99 % (2911024)Time elapsed: 0.055 s
% 16.76/3.99 % (2911024)Peak memory usage: 102 MB
% 16.76/3.99 % (2911024)Instructions burned: 125 (million)
% 16.76/3.99 % (2911025)Instruction limit reached!
% 16.76/3.99 % (2911025)------------------------------
% 16.76/3.99 % (2911025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.99 % (2911025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.99 % (2911025)CaDiCaL version: 2.1.3
% 16.76/3.99 % (2911025)Termination reason: Instruction limit
% 16.76/3.99 % (2911025)Termination phase: Property scanning
% 16.76/3.99 % (2911025)Time elapsed: 0.058 s
% 16.76/3.99 % (2911025)Peak memory usage: 102 MB
% 16.76/3.99 % (2911025)Instructions burned: 135 (million)
% 16.76/3.99 % (2911028)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=197550126:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/141Mi)
% 16.76/3.99 % (2911029)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1947234098:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 16.76/3.99 % (2911028)Refutation not found, incomplete strategy
% 16.76/3.99 % (2911028)------------------------------
% 16.76/3.99 % (2911028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.76/3.99 % (2911028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/3.99 % (2911028)CaDiCaL version: 2.1.3
% 16.76/3.99 % (2911028)Termination reason: Refutation not found, incomplete strategy
% 16.76/3.99 % (2911028)Time elapsed: 0.069 s
% 16.76/3.99 % (2911028)Peak memory usage: 107 MB
% 16.76/3.99 % (2911028)Instructions burned: 81 (million)
% 16.76/3.99 % (2910981)Refutation found. Thanks to Tanya!
% 16.76/3.99 % SZS status Theorem for theBenchmark
% 16.76/3.99 % SZS output start Proof for theBenchmark
% See solution above
% 18.60/4.19 % (2910981)------------------------------
% 18.60/4.19 % (2910981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.60/4.19 % (2910981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.60/4.19 % (2910981)CaDiCaL version: 2.1.3
% 18.60/4.19 % (2910981)Termination reason: Refutation
% 18.60/4.19 % (2910981)Time elapsed: 2.052 s
% 18.60/4.19 % (2910981)Peak memory usage: 230 MB
% 18.60/4.19 % (2910981)Instructions burned: 4137 (million)
% 18.60/4.19 % (2910981)------------------------------
% 18.60/4.19 % (2910981)------------------------------
% 18.60/4.19 % (2910975)Success in time 3.136 s
% 18.60/4.19 % Vampire exiting
%------------------------------------------------------------------------------