%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU304+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:48:15 PM UTC 2026
% Result : Theorem 2.59s 1.32s
% Output : Refutation 3.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 10
% Syntax : Number of formulae : 88 ( 14 unt; 3 def)
% Number of atoms : 385 ( 38 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 511 ( 214 ~; 223 |; 49 &)
% ( 9 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 4 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 140 ( 0 sgn 130 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& meet_commutative(X0)
& meet_semilatt_str(X0)
& element(X1,the_carrier(X0))
& element(X2,the_carrier(X0)) )
=> meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k4_lattices) ).
fof(f58,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& join_semilatt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattices) ).
fof(f87,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& latt_str(X0) )
=> ( meet_absorbing(X0)
<=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> join(X0,meet(X0,X1,X2),X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattices) ).
fof(f110,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& meet_semilatt_str(X0)
& element(X1,the_carrier(X0))
& element(X2,the_carrier(X0)) )
=> element(meet(X0,X1,X2),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_lattices) ).
fof(f141,axiom,
! [X0] :
( latt_str(X0)
=> ( meet_semilatt_str(X0)
& join_semilatt_str(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f245,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& meet_commutative(X0)
& meet_semilatt_str(X0)
& element(X1,the_carrier(X0))
& element(X2,the_carrier(X0)) )
=> meet_commut(X0,X1,X2) = meet(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_lattices) ).
fof(f339,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& meet_commutative(X0)
& meet_absorbing(X0)
& latt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> below(X0,meet_commut(X0,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_lattices) ).
fof(f340,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& meet_commutative(X0)
& meet_absorbing(X0)
& latt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> below(X0,meet_commut(X0,X1,X2),X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f339]) ).
fof(f503,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f504,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(flattening,[],[f503]) ).
fof(f540,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ join_semilatt_str(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f541,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below(X0,X1,X2)
<=> join(X0,X1,X2) = X2 )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ join_semilatt_str(X0) ),
inference(flattening,[],[f540]) ).
fof(f567,plain,
! [X0] :
( ( meet_absorbing(X0)
<=> ! [X1] :
( ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) ) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f568,plain,
! [X0] :
( ( meet_absorbing(X0)
<=> ! [X1] :
( ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) ) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f567]) ).
fof(f584,plain,
! [X0,X1,X2] :
( element(meet(X0,X1,X2),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(ennf_transformation,[],[f110]) ).
fof(f585,plain,
! [X0,X1,X2] :
( element(meet(X0,X1,X2),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(flattening,[],[f584]) ).
fof(f604,plain,
! [X0] :
( ( meet_semilatt_str(X0)
& join_semilatt_str(X0) )
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f141]) ).
fof(f680,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet(X0,X1,X2)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(ennf_transformation,[],[f245]) ).
fof(f681,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet(X0,X1,X2)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(flattening,[],[f680]) ).
fof(f812,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ below(X0,meet_commut(X0,X1,X2),X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& meet_commutative(X0)
& meet_absorbing(X0)
& latt_str(X0) ),
inference(ennf_transformation,[],[f340]) ).
fof(f813,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ below(X0,meet_commut(X0,X1,X2),X1)
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& meet_commutative(X0)
& meet_absorbing(X0)
& latt_str(X0) ),
inference(flattening,[],[f812]) ).
fof(f1095,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( below(X0,X1,X2)
| join(X0,X1,X2) != X2 )
& ( join(X0,X1,X2) = X2
| ~ below(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ join_semilatt_str(X0) ),
inference(nnf_transformation,[],[f541]) ).
fof(f1162,plain,
! [X0] :
( ( ( meet_absorbing(X0)
| ? [X1] :
( ? [X2] :
( join(X0,meet(X0,X1,X2),X2) != X2
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) ) )
& ( ! [X1] :
( ! [X2] :
( join(X0,meet(X0,X1,X2),X2) = X2
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ meet_absorbing(X0) ) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(nnf_transformation,[],[f568]) ).
fof(f1163,plain,
! [X0] :
( ( ( meet_absorbing(X0)
| ? [X1] :
( ? [X2] :
( join(X0,meet(X0,X1,X2),X2) != X2
& element(X2,the_carrier(X0)) )
& element(X1,the_carrier(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( join(X0,meet(X0,X3,X4),X4) = X4
| ~ element(X4,the_carrier(X0)) )
| ~ element(X3,the_carrier(X0)) )
| ~ meet_absorbing(X0) ) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(rectify,[],[f1162]) ).
fof(f1164,plain,
! [X0] :
( ( ( meet_absorbing(X0)
| ( sK121(X0) != join(X0,meet(X0,sK120(X0),sK121(X0)),sK121(X0))
& element(sK121(X0),the_carrier(X0))
& element(sK120(X0),the_carrier(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( join(X0,meet(X0,X3,X4),X4) = X4
| ~ element(X4,the_carrier(X0)) )
| ~ element(X3,the_carrier(X0)) )
| ~ meet_absorbing(X0) ) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK120,sK121]),skolemize(X1,sK120(X0)),skolemize(X2,sK121(X0))],[f1163]) ).
fof(f1417,plain,
( ~ below(sK334,meet_commut(sK334,sK335,sK336),sK335)
& element(sK336,the_carrier(sK334))
& element(sK335,the_carrier(sK334))
& ~ empty_carrier(sK334)
& meet_commutative(sK334)
& meet_absorbing(sK334)
& latt_str(sK334) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK334,sK335,sK336]),skolemize(X0,sK334),skolemize(X1,sK335),skolemize(X2,sK336)],[f813]) ).
fof(f1506,plain,
! [X2,X0,X1] :
( ~ meet_commutative(X0)
| empty_carrier(X0)
| meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f504]) ).
fof(f1669,plain,
! [X2,X0,X1] :
( join(X0,X1,X2) != X2
| below(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f1095]) ).
fof(f1796,plain,
! [X3,X0,X4] :
( ~ meet_absorbing(X0)
| ~ element(X4,the_carrier(X0))
| ~ element(X3,the_carrier(X0))
| join(X0,meet(X0,X3,X4),X4) = X4
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f1164]) ).
fof(f1827,plain,
! [X2,X0,X1] :
( element(meet(X0,X1,X2),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f585]) ).
fof(f1845,plain,
! [X0] :
( join_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f604]) ).
fof(f1846,plain,
! [X0] :
( meet_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f604]) ).
fof(f2063,plain,
! [X2,X0,X1] :
( ~ meet_commutative(X0)
| empty_carrier(X0)
| meet_commut(X0,X1,X2) = meet(X0,X1,X2)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f681]) ).
fof(f2470,plain,
latt_str(sK334),
inference(cnf_transformation,[],[f1417]) ).
fof(f2471,plain,
meet_absorbing(sK334),
inference(cnf_transformation,[],[f1417]) ).
fof(f2472,plain,
meet_commutative(sK334),
inference(cnf_transformation,[],[f1417]) ).
fof(f2473,plain,
~ empty_carrier(sK334),
inference(cnf_transformation,[],[f1417]) ).
fof(f2474,plain,
element(sK335,the_carrier(sK334)),
inference(cnf_transformation,[],[f1417]) ).
fof(f2475,plain,
element(sK336,the_carrier(sK334)),
inference(cnf_transformation,[],[f1417]) ).
fof(f2476,plain,
~ below(sK334,meet_commut(sK334,sK335,sK336),sK335),
inference(cnf_transformation,[],[f1417]) ).
fof(f3225,plain,
! [X0,X1] :
( empty_carrier(sK334)
| meet_commut(sK334,X0,X1) = meet_commut(sK334,X1,X0)
| ~ meet_semilatt_str(sK334)
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334)) ),
inference(resolution,[],[f1506,f2472]) ).
fof(f3226,plain,
! [X0,X1] :
( meet_commut(sK334,X0,X1) = meet_commut(sK334,X1,X0)
| ~ meet_semilatt_str(sK334)
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334)) ),
inference(forward_subsumption_resolution,[],[f3225,f2473]) ).
fof(f3228,definition,
( spl358_57
<=> meet_semilatt_str(sK334) ),
introduced(definition,[new_symbols(definition,[spl358_57])],[avatar_definition]) ).
fof(f3229,plain,
( meet_semilatt_str(sK334)
| ~ spl358_57 ),
inference(avatar_component_clause,[],[f3228]) ).
fof(f3230,plain,
( ~ meet_semilatt_str(sK334)
| spl358_57 ),
inference(avatar_component_clause,[],[f3228]) ).
fof(f3232,definition,
( spl358_58
<=> ! [X0,X1] :
( meet_commut(sK334,X0,X1) = meet_commut(sK334,X1,X0)
| ~ element(X1,the_carrier(sK334))
| ~ element(X0,the_carrier(sK334)) ) ),
introduced(definition,[new_symbols(definition,[spl358_58])],[avatar_definition]) ).
fof(f3233,plain,
( ! [X0,X1] :
( meet_commut(sK334,X0,X1) = meet_commut(sK334,X1,X0)
| ~ element(X1,the_carrier(sK334))
| ~ element(X0,the_carrier(sK334)) )
| ~ spl358_58 ),
inference(avatar_component_clause,[],[f3232]) ).
fof(f3234,plain,
( ~ spl358_57
| spl358_58 ),
inference(avatar_split_clause,[],[f3226,f3232,f3228]) ).
fof(f3235,plain,
( ~ latt_str(sK334)
| spl358_57 ),
inference(resolution,[],[f3230,f1846]) ).
fof(f3236,plain,
( $false
| spl358_57 ),
inference(forward_subsumption_resolution,[],[f3235,f2470]) ).
fof(f3237,plain,
spl358_57,
inference(avatar_contradiction_clause,[],[f3236]) ).
fof(f3238,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| join(sK334,meet(sK334,X1,X0),X0) = X0
| empty_carrier(sK334)
| ~ latt_str(sK334) ),
inference(resolution,[],[f1796,f2471]) ).
fof(f3239,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| join(sK334,meet(sK334,X1,X0),X0) = X0
| ~ latt_str(sK334) ),
inference(forward_subsumption_resolution,[],[f3238,f2473]) ).
fof(f3240,plain,
! [X0,X1] :
( join(sK334,meet(sK334,X1,X0),X0) = X0
| ~ element(X1,the_carrier(sK334))
| ~ element(X0,the_carrier(sK334)) ),
inference(forward_subsumption_resolution,[],[f3239,f2470]) ).
fof(f3241,plain,
! [X0,X1] :
( empty_carrier(sK334)
| meet_commut(sK334,X0,X1) = meet(sK334,X0,X1)
| ~ meet_semilatt_str(sK334)
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334)) ),
inference(resolution,[],[f2063,f2472]) ).
fof(f3242,plain,
! [X0,X1] :
( meet_commut(sK334,X0,X1) = meet(sK334,X0,X1)
| ~ meet_semilatt_str(sK334)
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334)) ),
inference(forward_subsumption_resolution,[],[f3241,f2473]) ).
fof(f3243,plain,
( ! [X0,X1] :
( meet_commut(sK334,X0,X1) = meet(sK334,X0,X1)
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334)) )
| ~ spl358_57 ),
inference(forward_subsumption_resolution,[],[f3242,f3229]) ).
fof(f3257,definition,
( spl358_59
<=> join_semilatt_str(sK334) ),
introduced(definition,[new_symbols(definition,[spl358_59])],[avatar_definition]) ).
fof(f3258,plain,
( join_semilatt_str(sK334)
| ~ spl358_59 ),
inference(avatar_component_clause,[],[f3257]) ).
fof(f3259,plain,
( ~ join_semilatt_str(sK334)
| spl358_59 ),
inference(avatar_component_clause,[],[f3257]) ).
fof(f3264,plain,
( ~ latt_str(sK334)
| spl358_59 ),
inference(resolution,[],[f3259,f1845]) ).
fof(f3265,plain,
( $false
| spl358_59 ),
inference(forward_subsumption_resolution,[],[f3264,f2470]) ).
fof(f3266,plain,
spl358_59,
inference(avatar_contradiction_clause,[],[f3265]) ).
fof(f3271,plain,
( ! [X0,X1] :
( join(sK334,meet_commut(sK334,X0,X1),X1) = X1
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334)) )
| ~ spl358_57 ),
inference(superposition,[],[f3240,f3243]) ).
fof(f3273,plain,
( ! [X0,X1] :
( element(meet_commut(sK334,X0,X1),the_carrier(sK334))
| empty_carrier(sK334)
| ~ meet_semilatt_str(sK334)
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334)) )
| ~ spl358_57 ),
inference(superposition,[],[f1827,f3243]) ).
fof(f3274,plain,
( ! [X0,X1] :
( element(meet_commut(sK334,X0,X1),the_carrier(sK334))
| empty_carrier(sK334)
| ~ meet_semilatt_str(sK334)
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334)) )
| ~ spl358_57 ),
inference(duplicate_literal_removal,[],[f3273]) ).
fof(f3275,plain,
( ! [X0,X1] :
( join(sK334,meet_commut(sK334,X0,X1),X1) = X1
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334)) )
| ~ spl358_57 ),
inference(duplicate_literal_removal,[],[f3271]) ).
fof(f3276,plain,
( ! [X0,X1] :
( element(meet_commut(sK334,X0,X1),the_carrier(sK334))
| ~ meet_semilatt_str(sK334)
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334)) )
| ~ spl358_57 ),
inference(forward_subsumption_resolution,[],[f3274,f2473]) ).
fof(f3277,plain,
( ! [X0,X1] :
( element(meet_commut(sK334,X0,X1),the_carrier(sK334))
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334)) )
| ~ spl358_57 ),
inference(forward_subsumption_resolution,[],[f3276,f3229]) ).
fof(f3286,plain,
( ! [X0,X1] :
( X0 != X0
| below(sK334,meet_commut(sK334,X1,X0),X0)
| ~ element(X0,the_carrier(sK334))
| ~ element(meet_commut(sK334,X1,X0),the_carrier(sK334))
| empty_carrier(sK334)
| ~ join_semilatt_str(sK334)
| ~ element(X1,the_carrier(sK334))
| ~ element(X0,the_carrier(sK334)) )
| ~ spl358_57 ),
inference(superposition,[],[f1669,f3275]) ).
fof(f3289,plain,
( ! [X0,X1] :
( X0 != X0
| below(sK334,meet_commut(sK334,X1,X0),X0)
| ~ element(X0,the_carrier(sK334))
| ~ element(meet_commut(sK334,X1,X0),the_carrier(sK334))
| empty_carrier(sK334)
| ~ join_semilatt_str(sK334)
| ~ element(X1,the_carrier(sK334)) )
| ~ spl358_57 ),
inference(duplicate_literal_removal,[],[f3286]) ).
fof(f3290,plain,
( ! [X0,X1] :
( below(sK334,meet_commut(sK334,X1,X0),X0)
| ~ element(X0,the_carrier(sK334))
| ~ element(meet_commut(sK334,X1,X0),the_carrier(sK334))
| empty_carrier(sK334)
| ~ join_semilatt_str(sK334)
| ~ element(X1,the_carrier(sK334)) )
| ~ spl358_57 ),
inference(trivial_inequality_removal,[],[f3289]) ).
fof(f3293,plain,
( ! [X0,X1] :
( below(sK334,meet_commut(sK334,X1,X0),X0)
| ~ element(X0,the_carrier(sK334))
| empty_carrier(sK334)
| ~ join_semilatt_str(sK334)
| ~ element(X1,the_carrier(sK334)) )
| ~ spl358_57 ),
inference(forward_subsumption_resolution,[],[f3290,f3277]) ).
fof(f3294,plain,
( ! [X0,X1] :
( below(sK334,meet_commut(sK334,X1,X0),X0)
| ~ element(X0,the_carrier(sK334))
| ~ join_semilatt_str(sK334)
| ~ element(X1,the_carrier(sK334)) )
| ~ spl358_57 ),
inference(forward_subsumption_resolution,[],[f3293,f2473]) ).
fof(f3295,plain,
( ! [X0,X1] :
( below(sK334,meet_commut(sK334,X1,X0),X0)
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334)) )
| ~ spl358_57
| ~ spl358_59 ),
inference(forward_subsumption_resolution,[],[f3294,f3258]) ).
fof(f3298,plain,
( ! [X0,X1] :
( below(sK334,meet_commut(sK334,X0,X1),X0)
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334))
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334)) )
| ~ spl358_57
| ~ spl358_58
| ~ spl358_59 ),
inference(superposition,[],[f3295,f3233]) ).
fof(f3299,plain,
( ! [X0,X1] :
( below(sK334,meet_commut(sK334,X0,X1),X0)
| ~ element(X0,the_carrier(sK334))
| ~ element(X1,the_carrier(sK334)) )
| ~ spl358_57
| ~ spl358_58
| ~ spl358_59 ),
inference(duplicate_literal_removal,[],[f3298]) ).
fof(f3307,plain,
( ~ element(sK335,the_carrier(sK334))
| ~ element(sK336,the_carrier(sK334))
| ~ spl358_57
| ~ spl358_58
| ~ spl358_59 ),
inference(resolution,[],[f3299,f2476]) ).
fof(f3315,plain,
( ~ element(sK336,the_carrier(sK334))
| ~ spl358_57
| ~ spl358_58
| ~ spl358_59 ),
inference(forward_subsumption_resolution,[],[f3307,f2474]) ).
fof(f3317,plain,
( $false
| ~ spl358_57
| ~ spl358_58
| ~ spl358_59 ),
inference(forward_subsumption_resolution,[],[f3315,f2475]) ).
fof(f3318,plain,
( ~ spl358_57
| ~ spl358_58
| ~ spl358_59 ),
inference(avatar_contradiction_clause,[],[f3317]) ).
cnf(s56,plain,
( ~ spl358_57
| spl358_58 ),
inference(sat_conversion,[],[f3234]) ).
cnf(s57,plain,
spl358_57,
inference(sat_conversion,[],[f3237]) ).
cnf(s59,plain,
spl358_59,
inference(sat_conversion,[],[f3266]) ).
cnf(s60,plain,
( ~ spl358_57
| ~ spl358_58
| ~ spl358_59 ),
inference(sat_conversion,[],[f3318]) ).
cnf(s62,plain,
~ spl358_58,
inference(rat,[],[s60,s59,s57]) ).
cnf(s63,plain,
$false,
inference(rat,[],[s56,s62,s57]) ).
fof(f3320,plain,
$false,
inference(avatar_sat_refutation,[],[s63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU304+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n007.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 : Mon Sep 28 04:35:41 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.59/1.32 % (2026655)Detected formulas, will run a generic FOF schedule.
% 2.59/1.32 % (2026664)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2637044294:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.59/1.32 % (2026663)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=579833183:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.59/1.32 % (2026666)dis-21_1_sil=8000:lcm=predicate:random_seed=3352645498:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.59/1.32 % (2026660)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=2559825182:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.59/1.32 % (2026661)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=2122685451:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.59/1.32 % (2026662)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=3030721221:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.59/1.32 % (2026665)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1775171627:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.59/1.32 % (2026664)Instruction limit reached!
% 2.59/1.32 % (2026664)------------------------------
% 2.59/1.32 % (2026664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.32 % (2026664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.32 % (2026664)CaDiCaL version: 2.1.3
% 2.59/1.32 % (2026664)Termination reason: Instruction limit
% 2.59/1.32 % (2026664)Termination phase: Saturation
% 2.59/1.32 % (2026664)Time elapsed: 0.044 s
% 2.59/1.32 % (2026664)Peak memory usage: 91 MB
% 2.59/1.32 % (2026664)Instructions burned: 122 (million)
% 2.59/1.32 % (2026663)Instruction limit reached!
% 2.59/1.32 % (2026663)------------------------------
% 2.59/1.32 % (2026663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.32 % (2026663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.32 % (2026663)CaDiCaL version: 2.1.3
% 2.59/1.32 % (2026663)Termination reason: Instruction limit
% 2.59/1.32 % (2026663)Termination phase: Saturation
% 2.59/1.32 % (2026663)Time elapsed: 0.061 s
% 2.59/1.32 % (2026663)Peak memory usage: 91 MB
% 2.59/1.32 % (2026663)Instructions burned: 110 (million)
% 2.59/1.32 % (2026665)First to succeed.
% 2.59/1.32 % (2026666)Instruction limit reached!
% 2.59/1.32 % (2026666)------------------------------
% 2.59/1.32 % (2026666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.32 % (2026666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.32 % (2026665)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2026655"
% 2.59/1.32 % (2026666)CaDiCaL version: 2.1.3
% 2.59/1.32 % (2026666)Termination reason: Instruction limit
% 2.59/1.32 % (2026666)Termination phase: Saturation
% 2.59/1.32 % (2026666)Time elapsed: 0.063 s
% 2.59/1.32 % (2026666)Peak memory usage: 90 MB
% 2.59/1.32 % (2026666)Instructions burned: 129 (million)
% 2.59/1.32 % (2026674)lrs+10_1_sil=8000:sp=occurrence:random_seed=1440522599:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.59/1.32 % (2026675)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3268062612:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.59/1.32 % (2026676)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2370059601:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.59/1.32 % (2026675)Also succeeded, but the first one will report.
% 2.59/1.32 % (2026674)Instruction limit reached!
% 2.59/1.32 % (2026674)------------------------------
% 2.59/1.32 % (2026674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.59/1.32 % (2026674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/1.32 % (2026674)CaDiCaL version: 2.1.3
% 2.59/1.32 % (2026674)Termination reason: Instruction limit
% 2.59/1.32 % (2026674)Termination phase: Saturation
% 2.59/1.32 % (2026674)Time elapsed: 0.103 s
% 2.59/1.32 % (2026674)Peak memory usage: 94 MB
% 2.59/1.32 % (2026674)Instructions burned: 287 (million)
% 2.59/1.32 % (2026665)Refutation found. Thanks to Tanya!
% 2.59/1.32 % SZS status Theorem for theBenchmark
% 2.59/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.88/1.51 % (2026665)------------------------------
% 3.88/1.51 % (2026665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.51 % (2026665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.51 % (2026665)CaDiCaL version: 2.1.3
% 3.88/1.51 % (2026665)Termination reason: Refutation
% 3.88/1.51 % (2026665)Time elapsed: 0.044 s
% 3.88/1.51 % (2026665)Peak memory usage: 91 MB
% 3.88/1.51 % (2026665)Instructions burned: 70 (million)
% 3.88/1.51 % (2026665)------------------------------
% 3.88/1.51 % (2026665)------------------------------
% 3.88/1.51 % (2026655)Success in time 0.47 s
% 3.88/1.51 % Vampire exiting
%------------------------------------------------------------------------------