%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT304+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 11:46:43 AM UTC 2026
% Result : Theorem 14.44s 5.01s
% Output : Refutation 16.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 87 ( 15 unt; 5 def)
% Number of atoms : 321 ( 12 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 365 ( 131 ~; 146 |; 67 &)
% ( 11 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 55 ( 0 sgn 53 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21515,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(f22747,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(f22752,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(f22780,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/sandbox/benchmark/theBenchmark.p',t18_lattice2) ).
fof(f22852,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(f34606,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(f34675,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(f34686,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(f34687,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)],[f34686]) ).
fof(f34720,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_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)) ) ),
inference(pure_predicate_removal,[],[f22752]) ).
fof(f34732,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,[],[f34606]) ).
fof(f34733,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,[],[f34732]) ).
fof(f34867,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,[],[f34675]) ).
fof(f34868,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,[],[f34867]) ).
fof(f34889,plain,
? [X0] :
( ~ m2_filter_2(u1_struct_0(X0),X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f34687]) ).
fof(f34890,plain,
? [X0] :
( ~ m2_filter_2(u1_struct_0(X0),X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f34889]) ).
fof(f34916,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f21515]) ).
fof(f34917,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f34916]) ).
fof(f34995,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22852]) ).
fof(f35012,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,[],[f22780]) ).
fof(f35013,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,[],[f35012]) ).
fof(f35015,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_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,[],[f34720]) ).
fof(f35016,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_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,[],[f35015]) ).
fof(f35017,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f22747]) ).
fof(f35018,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f35017]) ).
fof(f35341,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,[],[f34733]) ).
fof(f35361,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0)) )
& ( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f34868]) ).
fof(f35367,plain,
( ~ m2_filter_2(u1_struct_0(sK17),sK17)
& ~ v3_struct_0(sK17)
& v10_lattices(sK17)
& l3_lattices(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X0,sK17)],[f34890]) ).
fof(f35567,plain,
! [X0,X1] :
( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35341]) ).
fof(f35680,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(cnf_transformation,[],[f35361]) ).
fof(f35719,plain,
l3_lattices(sK17),
inference(cnf_transformation,[],[f35367]) ).
fof(f35720,plain,
v10_lattices(sK17),
inference(cnf_transformation,[],[f35367]) ).
fof(f35721,plain,
~ v3_struct_0(sK17),
inference(cnf_transformation,[],[f35367]) ).
fof(f35722,plain,
~ m2_filter_2(u1_struct_0(sK17),sK17),
inference(cnf_transformation,[],[f35367]) ).
fof(f35752,plain,
! [X0] :
( m1_filter_0(u1_struct_0(X0),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34917]) ).
fof(f35861,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f34995]) ).
fof(f35884,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35013]) ).
fof(f35886,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35016]) ).
fof(f35895,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f35018]) ).
fof(f36524,definition,
( spl161_1
<=> m2_filter_2(u1_struct_0(sK17),sK17) ),
introduced(definition,[new_symbols(definition,[spl161_1])],[avatar_definition]) ).
fof(f36526,plain,
( ~ m2_filter_2(u1_struct_0(sK17),sK17)
| spl161_1 ),
inference(avatar_component_clause,[],[f36524]) ).
fof(f36527,plain,
~ spl161_1,
inference(avatar_split_clause,[],[f35722,f36524]) ).
fof(f36698,definition,
( spl161_2
<=> v3_struct_0(sK17) ),
introduced(definition,[new_symbols(definition,[spl161_2])],[avatar_definition]) ).
fof(f36700,plain,
( ~ v3_struct_0(sK17)
| spl161_2 ),
inference(avatar_component_clause,[],[f36698]) ).
fof(f36701,plain,
~ spl161_2,
inference(avatar_split_clause,[],[f35721,f36698]) ).
fof(f36787,plain,
( ! [X0] :
( m2_filter_2(X0,sK17)
| ~ m1_filter_2(X0,k1_lattice2(sK17))
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17) )
| spl161_2 ),
inference(resolution,[],[f36700,f35680]) ).
fof(f36931,plain,
( u1_struct_0(sK17) = u1_struct_0(k1_lattice2(sK17))
| ~ l3_lattices(sK17)
| spl161_2 ),
inference(resolution,[],[f36700,f35884]) ).
fof(f36932,plain,
( v10_lattices(k1_lattice2(sK17))
| ~ v10_lattices(sK17)
| ~ l3_lattices(sK17)
| spl161_2 ),
inference(resolution,[],[f36700,f35886]) ).
fof(f36941,plain,
( ~ v3_struct_0(k1_lattice2(sK17))
| ~ l3_lattices(sK17)
| spl161_2 ),
inference(resolution,[],[f36700,f35895]) ).
fof(f37436,plain,
( ~ v3_struct_0(k1_lattice2(sK17))
| spl161_2 ),
inference(forward_subsumption_resolution,[],[f36941,f35719]) ).
fof(f37443,plain,
( v10_lattices(k1_lattice2(sK17))
| ~ l3_lattices(sK17)
| spl161_2 ),
inference(forward_subsumption_resolution,[],[f36932,f35720]) ).
fof(f37444,plain,
( u1_struct_0(sK17) = u1_struct_0(k1_lattice2(sK17))
| spl161_2 ),
inference(forward_subsumption_resolution,[],[f36931,f35719]) ).
fof(f37588,plain,
( ! [X0] :
( m2_filter_2(X0,sK17)
| ~ m1_filter_2(X0,k1_lattice2(sK17))
| ~ l3_lattices(sK17) )
| spl161_2 ),
inference(forward_subsumption_resolution,[],[f36787,f35720]) ).
fof(f37854,plain,
( v10_lattices(k1_lattice2(sK17))
| spl161_2 ),
inference(forward_subsumption_resolution,[],[f37443,f35719]) ).
fof(f37995,plain,
( ! [X0] :
( m2_filter_2(X0,sK17)
| ~ m1_filter_2(X0,k1_lattice2(sK17)) )
| spl161_2 ),
inference(forward_subsumption_resolution,[],[f37588,f35719]) ).
fof(f38200,definition,
( spl161_4
<=> l3_lattices(sK17) ),
introduced(definition,[new_symbols(definition,[spl161_4])],[avatar_definition]) ).
fof(f38202,plain,
( l3_lattices(sK17)
| ~ spl161_4 ),
inference(avatar_component_clause,[],[f38200]) ).
fof(f38203,plain,
spl161_4,
inference(avatar_split_clause,[],[f35719,f38200]) ).
fof(f38938,plain,
( l3_lattices(k1_lattice2(sK17))
| ~ spl161_4 ),
inference(resolution,[],[f38202,f35861]) ).
fof(f39344,definition,
( spl161_6
<=> ! [X0] :
( m2_filter_2(X0,sK17)
| ~ m1_filter_2(X0,k1_lattice2(sK17)) ) ),
introduced(definition,[new_symbols(definition,[spl161_6])],[avatar_definition]) ).
fof(f39345,plain,
( ! [X0] :
( ~ m1_filter_2(X0,k1_lattice2(sK17))
| m2_filter_2(X0,sK17) )
| ~ spl161_6 ),
inference(avatar_component_clause,[],[f39344]) ).
fof(f39346,plain,
( spl161_6
| spl161_2 ),
inference(avatar_split_clause,[],[f37995,f36698,f39344]) ).
fof(f39349,plain,
( ! [X0] :
( m2_filter_2(X0,sK17)
| ~ m1_filter_0(X0,k1_lattice2(sK17))
| v3_struct_0(k1_lattice2(sK17))
| ~ v10_lattices(k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17)) )
| ~ spl161_6 ),
inference(resolution,[],[f39345,f35567]) ).
fof(f39368,plain,
( ! [X0] :
( m2_filter_2(X0,sK17)
| ~ m1_filter_0(X0,k1_lattice2(sK17))
| ~ v10_lattices(k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17)) )
| spl161_2
| ~ spl161_6 ),
inference(forward_subsumption_resolution,[],[f39349,f37436]) ).
fof(f39379,plain,
( ! [X0] :
( m2_filter_2(X0,sK17)
| ~ m1_filter_0(X0,k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17)) )
| spl161_2
| ~ spl161_6 ),
inference(forward_subsumption_resolution,[],[f39368,f37854]) ).
fof(f39388,plain,
( ! [X0] :
( m2_filter_2(X0,sK17)
| ~ m1_filter_0(X0,k1_lattice2(sK17)) )
| spl161_2
| ~ spl161_4
| ~ spl161_6 ),
inference(forward_subsumption_resolution,[],[f39379,f38938]) ).
fof(f39700,definition,
( spl161_12
<=> ! [X0] :
( m2_filter_2(X0,sK17)
| ~ m1_filter_0(X0,k1_lattice2(sK17)) ) ),
introduced(definition,[new_symbols(definition,[spl161_12])],[avatar_definition]) ).
fof(f39701,plain,
( ! [X0] :
( ~ m1_filter_0(X0,k1_lattice2(sK17))
| m2_filter_2(X0,sK17) )
| ~ spl161_12 ),
inference(avatar_component_clause,[],[f39700]) ).
fof(f39702,plain,
( spl161_12
| spl161_2
| ~ spl161_4
| ~ spl161_6 ),
inference(avatar_split_clause,[],[f39388,f39344,f38200,f36698,f39700]) ).
fof(f39736,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(sK17)),sK17)
| v3_struct_0(k1_lattice2(sK17))
| ~ v10_lattices(k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17))
| ~ spl161_12 ),
inference(resolution,[],[f39701,f35752]) ).
fof(f39751,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(sK17)),sK17)
| ~ v10_lattices(k1_lattice2(sK17))
| ~ l3_lattices(k1_lattice2(sK17))
| spl161_2
| ~ spl161_12 ),
inference(forward_subsumption_resolution,[],[f39736,f37436]) ).
fof(f39791,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(sK17)),sK17)
| ~ l3_lattices(k1_lattice2(sK17))
| spl161_2
| ~ spl161_12 ),
inference(forward_subsumption_resolution,[],[f39751,f37854]) ).
fof(f39829,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(sK17)),sK17)
| spl161_2
| ~ spl161_4
| ~ spl161_12 ),
inference(forward_subsumption_resolution,[],[f39791,f38938]) ).
fof(f39865,plain,
( m2_filter_2(u1_struct_0(sK17),sK17)
| spl161_2
| ~ spl161_4
| ~ spl161_12 ),
inference(forward_demodulation,[],[f39829,f37444]) ).
fof(f39898,plain,
( $false
| spl161_1
| spl161_2
| ~ spl161_4
| ~ spl161_12 ),
inference(forward_subsumption_resolution,[],[f39865,f36526]) ).
fof(f39899,plain,
( spl161_1
| spl161_2
| ~ spl161_4
| ~ spl161_12 ),
inference(avatar_contradiction_clause,[],[f39898]) ).
cnf(s1,plain,
~ spl161_1,
inference(sat_conversion,[],[f36527]) ).
cnf(s2,plain,
~ spl161_2,
inference(sat_conversion,[],[f36701]) ).
cnf(s4,plain,
spl161_4,
inference(sat_conversion,[],[f38203]) ).
cnf(s6,plain,
( spl161_2
| spl161_6 ),
inference(sat_conversion,[],[f39346]) ).
cnf(s12,plain,
( spl161_2
| ~ spl161_4
| ~ spl161_6
| spl161_12 ),
inference(sat_conversion,[],[f39702]) ).
cnf(s13,plain,
( spl161_1
| spl161_2
| ~ spl161_4
| ~ spl161_12 ),
inference(sat_conversion,[],[f39899]) ).
cnf(s18,plain,
spl161_6,
inference(rat,[],[s6,s2]) ).
cnf(s19,plain,
spl161_12,
inference(rat,[],[s12,s2,s4,s18]) ).
cnf(s20,plain,
spl161_1,
inference(rat,[],[s13,s2,s4,s19]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s1,s20]) ).
fof(f39932,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT304+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n002.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 14:27:44 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.44/5.01 % (3573707)Detected formulas, will run a generic FOF schedule.
% 14.44/5.01 % (3573716)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=854551339:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 14.44/5.01 % (3573713)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=93916915:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 14.44/5.01 % (3573714)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=3172023185:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 14.44/5.01 % (3573712)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=1900502887:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 14.44/5.01 % (3573715)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1608731307:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 14.44/5.01 % (3573716)Instruction limit reached!
% 14.44/5.01 % (3573716)------------------------------
% 14.44/5.01 % (3573716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/5.01 % (3573716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/5.01 % (3573716)CaDiCaL version: 2.1.3
% 14.44/5.01 % (3573716)Termination reason: Instruction limit
% 14.44/5.01 % (3573716)Termination phase: SInE selection
% 14.44/5.01 % (3573716)Time elapsed: 0.053 s
% 14.44/5.01 % (3573716)Peak memory usage: 136 MB
% 14.44/5.01 % (3573716)Instructions burned: 121 (million)
% 14.44/5.01 % (3573718)dis-21_1_sil=8000:lcm=predicate:random_seed=1261477570:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2978 on theBenchmark for (2978ds/129Mi)
% 14.44/5.01 % (3573717)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=328989806:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 14.44/5.01 % (3573717)Instruction limit reached!
% 14.44/5.01 % (3573717)------------------------------
% 14.44/5.01 % (3573717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/5.01 % (3573717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/5.01 % (3573717)CaDiCaL version: 2.1.3
% 14.44/5.01 % (3573717)Termination reason: Instruction limit
% 14.44/5.01 % (3573717)Termination phase: Property scanning
% 14.44/5.01 % (3573717)Time elapsed: 0.064 s
% 14.44/5.01 % (3573717)Peak memory usage: 136 MB
% 14.44/5.01 % (3573717)Instructions burned: 141 (million)
% 14.44/5.01 % (3573715)Instruction limit reached!
% 14.44/5.01 % (3573715)------------------------------
% 14.44/5.01 % (3573715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/5.01 % (3573715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/5.01 % (3573715)CaDiCaL version: 2.1.3
% 14.44/5.01 % (3573715)Termination reason: Instruction limit
% 14.44/5.01 % (3573715)Termination phase: SInE selection
% 14.44/5.01 % (3573715)Time elapsed: 0.083 s
% 14.44/5.01 % (3573715)Peak memory usage: 136 MB
% 14.44/5.01 % (3573715)Instructions burned: 109 (million)
% 14.44/5.01 % (3573718)Instruction limit reached!
% 14.44/5.01 % (3573718)------------------------------
% 14.44/5.01 % (3573718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/5.01 % (3573718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/5.01 % (3573718)CaDiCaL version: 2.1.3
% 14.44/5.01 % (3573718)Termination reason: Instruction limit
% 14.44/5.01 % (3573718)Termination phase: SInE selection
% 14.44/5.01 % (3573718)Time elapsed: 0.098 s
% 14.44/5.01 % (3573718)Peak memory usage: 136 MB
% 14.44/5.01 % (3573718)Instructions burned: 130 (million)
% 14.44/5.01 % (3573726)lrs+10_1_sil=8000:sp=occurrence:random_seed=4061916071:i=285:sd=3:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/285Mi)
% 14.44/5.01 % (3573727)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2790579143:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/157Mi)
% 14.44/5.01 % (3573728)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3901526343:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 14.44/5.01 % (3573726)Instruction limit reached!
% 14.44/5.01 % (3573726)------------------------------
% 14.44/5.01 % (3573726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/5.01 % (3573726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/5.01 % (3573726)CaDiCaL version: 2.1.3
% 14.44/5.01 % (3573726)Termination reason: Instruction limit
% 14.44/5.01 % (3573726)Termination phase: Saturation
% 14.44/5.01 % (3573726)Time elapsed: 0.132 s
% 14.44/5.01 % (3573726)Peak memory usage: 142 MB
% 14.44/5.01 % (3573726)Instructions burned: 287 (million)
% 14.44/5.01 % (3573729)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=2080588063:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 14.44/5.01 % (3573727)Instruction limit reached!
% 14.44/5.01 % (3573727)------------------------------
% 14.44/5.01 % (3573727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/5.01 % (3573727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/5.01 % (3573727)CaDiCaL version: 2.1.3
% 14.44/5.01 % (3573727)Termination reason: Instruction limit
% 14.44/5.01 % (3573727)Termination phase: Property scanning
% 14.44/5.01 % (3573727)Time elapsed: 0.070 s
% 14.44/5.01 % (3573727)Peak memory usage: 136 MB
% 14.44/5.01 % (3573727)Instructions burned: 159 (million)
% 14.44/5.01 % (3573729)Instruction limit reached!
% 14.44/5.01 % (3573729)------------------------------
% 14.44/5.01 % (3573729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/5.01 % (3573729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/5.01 % (3573729)CaDiCaL version: 2.1.3
% 14.44/5.01 % (3573729)Termination reason: Instruction limit
% 14.44/5.01 % (3573729)Termination phase: Property scanning
% 14.44/5.01 % (3573729)Time elapsed: 0.108 s
% 14.44/5.01 % (3573729)Peak memory usage: 136 MB
% 14.44/5.01 % (3573729)Instructions burned: 248 (million)
% 14.44/5.01 % (3573734)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1760965222:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 14.44/5.01 % (3573728)Refutation not found, incomplete strategy
% 14.44/5.01 % (3573728)------------------------------
% 14.44/5.01 % (3573728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/5.01 % (3573728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/5.01 % (3573728)CaDiCaL version: 2.1.3
% 14.44/5.01 % (3573728)Termination reason: Refutation not found, incomplete strategy
% 14.44/5.01 % (3573728)Time elapsed: 0.205 s
% 14.44/5.01 % (3573728)Peak memory usage: 142 MB
% 14.44/5.01 % (3573728)Instructions burned: 246 (million)
% 14.44/5.01 % (3573735)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2782770945:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 14.44/5.01 % (3573734)Instruction limit reached!
% 14.44/5.01 % (3573734)------------------------------
% 14.44/5.01 % (3573734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/5.01 % (3573734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/5.01 % (3573734)CaDiCaL version: 2.1.3
% 14.44/5.01 % (3573734)Termination reason: Instruction limit
% 14.44/5.01 % (3573734)Termination phase: SInE selection
% 14.44/5.01 % (3573734)Time elapsed: 0.105 s
% 14.44/5.01 % (3573734)Peak memory usage: 137 MB
% 14.44/5.01 % (3573734)Instructions burned: 295 (million)
% 14.44/5.01 % (3573736)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=830399252:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 14.44/5.01 % (3573736)Instruction limit reached!
% 14.44/5.01 % (3573736)------------------------------
% 14.44/5.01 % (3573736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/5.01 % (3573736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/5.01 % (3573736)CaDiCaL version: 2.1.3
% 14.44/5.01 % (3573736)Termination reason: Instruction limit
% 14.44/5.01 % (3573736)Termination phase: SInE selection
% 14.44/5.01 % (3573736)Time elapsed: 0.087 s
% 14.44/5.01 % (3573736)Peak memory usage: 136 MB
% 14.44/5.01 % (3573736)Instructions burned: 114 (million)
% 14.44/5.01 % (3573739)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2613169200:i=127:av=off:fsr=off:sup=off_2971 on theBenchmark for (2971ds/127Mi)
% 14.44/5.01 % (3573728)------------------------------
% 14.44/5.01 % (3573728)------------------------------
% 14.44/5.01 % (3573739)Instruction limit reached!
% 14.44/5.01 % (3573739)------------------------------
% 14.44/5.01 % (3573739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/5.01 % (3573739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/5.01 % (3573739)CaDiCaL version: 2.1.3
% 14.44/5.01 % (3573739)Termination reason: Instruction limit
% 14.44/5.01 % (3573739)Termination phase: Preprocessing 1
% 14.44/5.01 % (3573739)Time elapsed: 0.098 s
% 14.44/5.01 % (3573739)Peak memory usage: 137 MB
% 14.44/5.01 % (3573739)Instructions burned: 127 (million)
% 14.44/5.01 % (3573741)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3976652510:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2969 on theBenchmark for (2969ds/114Mi)
% 14.44/5.01 % (3573741)Instruction limit reached!
% 14.44/5.01 % (3573741)------------------------------
% 14.44/5.01 % (3573741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/5.01 % (3573741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/5.01 % (3573741)CaDiCaL version: 2.1.3
% 14.44/5.01 % (3573741)Termination reason: Instruction limit
% 14.44/5.01 % (3573741)Termination phase: Property scanning
% 14.44/5.01 % (3573741)Time elapsed: 0.029 s
% 14.44/5.01 % (3573741)Peak memory usage: 136 MB
% 14.44/5.01 % (3573741)Instructions burned: 116 (million)
% 14.44/5.01 % (3573743)lrs+10_1_sil=8000:sp=occurrence:random_seed=1422567810:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2968 on theBenchmark for (2968ds/907Mi)
% 14.44/5.01 % (3573746)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1799443053:i=5202:ss=axioms:sgt=16_2968 on theBenchmark for (2968ds/5202Mi)
% 14.44/5.01 % (3573745)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2129925892:i=437:sd=1:aac=none:ss=included_2968 on theBenchmark for (2968ds/437Mi)
% 14.44/5.01 % (3573745)Refutation not found, incomplete strategy
% 14.44/5.01 % (3573745)------------------------------
% 14.44/5.01 % (3573745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/5.01 % (3573745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/5.01 % (3573745)CaDiCaL version: 2.1.3
% 14.44/5.01 % (3573745)Termination reason: Refutation not found, incomplete strategy
% 14.44/5.01 % (3573745)Time elapsed: 0.238 s
% 14.44/5.01 % (3573745)Peak memory usage: 142 MB
% 14.44/5.01 % (3573745)Instructions burned: 309 (million)
% 14.44/5.01 % (3573745)------------------------------
% 14.44/5.01 % (3573745)------------------------------
% 14.44/5.01 % (3573714)First to succeed.
% 14.44/5.01 % (3573714)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3573707"
% 14.44/5.01 % (3573743)Instruction limit reached!
% 14.44/5.01 % (3573743)------------------------------
% 14.44/5.01 % (3573743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/5.01 % (3573743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/5.01 % (3573743)CaDiCaL version: 2.1.3
% 14.44/5.01 % (3573743)Termination reason: Instruction limit
% 14.44/5.01 % (3573743)Termination phase: Property scanning
% 14.44/5.01 % (3573743)Time elapsed: 0.579 s
% 14.44/5.01 % (3573743)Peak memory usage: 154 MB
% 14.44/5.01 % (3573743)Instructions burned: 909 (million)
% 14.44/5.01 % (3573750)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=326590:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2961 on theBenchmark for (2961ds/134Mi)
% 14.44/5.01 % (3573751)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=315521487:st=8:i=592:sd=3:ep=RST:ss=axioms_2961 on theBenchmark for (2961ds/592Mi)
% 14.44/5.01 % (3573750)Instruction limit reached!
% 14.44/5.01 % (3573750)------------------------------
% 14.44/5.01 % (3573750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.44/5.01 % (3573750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.44/5.01 % (3573750)CaDiCaL version: 2.1.3
% 14.44/5.01 % (3573750)Termination reason: Instruction limit
% 14.44/5.01 % (3573750)Termination phase: SInE selection
% 14.44/5.01 % (3573750)Time elapsed: 0.103 s
% 14.44/5.01 % (3573750)Peak memory usage: 136 MB
% 14.44/5.01 % (3573750)Instructions burned: 134 (million)
% 14.44/5.01 % (3573746)Also succeeded, but the first one will report.
% 14.44/5.01 % (3573714)Refutation found. Thanks to Tanya!
% 14.44/5.01 % SZS status Theorem for theBenchmark
% 14.44/5.01 % SZS output start Proof for theBenchmark
% See solution above
% 16.39/5.12 % (3573714)------------------------------
% 16.39/5.12 % (3573714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.39/5.12 % (3573714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.39/5.12 % (3573714)CaDiCaL version: 2.1.3
% 16.39/5.12 % (3573714)Termination reason: Refutation
% 16.39/5.12 % (3573714)Time elapsed: 1.469 s
% 16.39/5.12 % (3573714)Peak memory usage: 209 MB
% 16.39/5.12 % (3573714)Instructions burned: 2176 (million)
% 16.39/5.12 % (3573714)------------------------------
% 16.39/5.12 % (3573714)------------------------------
% 16.39/5.12 % (3573707)Success in time 4.143 s
% 16.39/5.12 % Vampire exiting
%------------------------------------------------------------------------------