%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU304+1 : 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 : 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 12:48:15 PM UTC 2026
% Result : Theorem 3.46s 1.45s
% Output : Refutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 7
% Syntax : Number of formulae : 68 ( 10 unt; 0 def)
% Number of atoms : 332 ( 26 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 465 ( 201 ~; 193 |; 49 &)
% ( 6 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 104 ( 94 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,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(f7,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(f8,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(f14,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(f20,axiom,
! [X0] :
( latt_str(X0)
=> ( meet_semilatt_str(X0)
& join_semilatt_str(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f39,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(f43,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(f44,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)],[f43]) ).
fof(f53,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,[],[f44]) ).
fof(f54,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,[],[f53]) ).
fof(f55,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,[],[f39]) ).
fof(f56,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,[],[f55]) ).
fof(f59,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,[],[f4]) ).
fof(f60,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,[],[f59]) ).
fof(f61,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,[],[f7]) ).
fof(f62,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,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ( meet_semilatt_str(X0)
& join_semilatt_str(X0) )
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f64,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,[],[f8]) ).
fof(f65,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,[],[f64]) ).
fof(f66,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,[],[f14]) ).
fof(f67,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,[],[f66]) ).
fof(f70,plain,
( ~ below(sK0,meet_commut(sK0,sK1,sK2),sK1)
& element(sK2,the_carrier(sK0))
& element(sK1,the_carrier(sK0))
& ~ empty_carrier(sK0)
& meet_commutative(sK0)
& meet_absorbing(sK0)
& latt_str(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f54]) ).
fof(f72,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,[],[f62]) ).
fof(f74,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,[],[f65]) ).
fof(f75,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,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ( ( meet_absorbing(X0)
| ( sK6(X0) != join(X0,meet(X0,sK5(X0),sK6(X0)),sK6(X0))
& element(sK6(X0),the_carrier(X0))
& element(sK5(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,[sK5,sK6]),skolemize(X1,sK5(X0)),skolemize(X2,sK6(X0))],[f75]) ).
fof(f79,plain,
latt_str(sK0),
inference(cnf_transformation,[],[f70]) ).
fof(f80,plain,
meet_absorbing(sK0),
inference(cnf_transformation,[],[f70]) ).
fof(f81,plain,
meet_commutative(sK0),
inference(cnf_transformation,[],[f70]) ).
fof(f82,plain,
~ empty_carrier(sK0),
inference(cnf_transformation,[],[f70]) ).
fof(f83,plain,
element(sK1,the_carrier(sK0)),
inference(cnf_transformation,[],[f70]) ).
fof(f84,plain,
element(sK2,the_carrier(sK0)),
inference(cnf_transformation,[],[f70]) ).
fof(f85,plain,
~ below(sK0,meet_commut(sK0,sK1,sK2),sK1),
inference(cnf_transformation,[],[f70]) ).
fof(f86,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f56]) ).
fof(f88,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f60]) ).
fof(f91,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,[],[f72]) ).
fof(f93,plain,
! [X0] :
( join_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f94,plain,
! [X0] :
( meet_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f95,plain,
! [X3,X0,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(cnf_transformation,[],[f76]) ).
fof(f99,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,[],[f67]) ).
fof(f124,plain,
( ~ below(sK0,meet_commut(sK0,sK2,sK1),sK1)
| empty_carrier(sK0)
| ~ meet_commutative(sK0)
| ~ meet_semilatt_str(sK0)
| ~ element(sK2,the_carrier(sK0))
| ~ element(sK1,the_carrier(sK0)) ),
inference(superposition,[],[f85,f88]) ).
fof(f133,plain,
( ~ below(sK0,meet_commut(sK0,sK2,sK1),sK1)
| ~ meet_commutative(sK0)
| ~ meet_semilatt_str(sK0)
| ~ element(sK2,the_carrier(sK0))
| ~ element(sK1,the_carrier(sK0)) ),
inference(forward_subsumption_resolution,[],[f124,f82]) ).
fof(f135,plain,
( ~ below(sK0,meet_commut(sK0,sK2,sK1),sK1)
| ~ meet_semilatt_str(sK0)
| ~ element(sK2,the_carrier(sK0))
| ~ element(sK1,the_carrier(sK0)) ),
inference(forward_subsumption_resolution,[],[f133,f81]) ).
fof(f137,plain,
( ~ below(sK0,meet_commut(sK0,sK2,sK1),sK1)
| ~ meet_semilatt_str(sK0)
| ~ element(sK1,the_carrier(sK0)) ),
inference(forward_subsumption_resolution,[],[f135,f84]) ).
fof(f139,plain,
( ~ below(sK0,meet_commut(sK0,sK2,sK1),sK1)
| ~ meet_semilatt_str(sK0) ),
inference(forward_subsumption_resolution,[],[f137,f83]) ).
fof(f141,plain,
( ~ below(sK0,meet(sK0,sK2,sK1),sK1)
| ~ meet_semilatt_str(sK0)
| empty_carrier(sK0)
| ~ meet_commutative(sK0)
| ~ meet_semilatt_str(sK0)
| ~ element(sK2,the_carrier(sK0))
| ~ element(sK1,the_carrier(sK0)) ),
inference(superposition,[],[f139,f86]) ).
fof(f142,plain,
( ~ below(sK0,meet(sK0,sK2,sK1),sK1)
| ~ meet_semilatt_str(sK0)
| empty_carrier(sK0)
| ~ meet_commutative(sK0)
| ~ element(sK2,the_carrier(sK0))
| ~ element(sK1,the_carrier(sK0)) ),
inference(duplicate_literal_removal,[],[f141]) ).
fof(f143,plain,
( ~ below(sK0,meet(sK0,sK2,sK1),sK1)
| ~ meet_semilatt_str(sK0)
| ~ meet_commutative(sK0)
| ~ element(sK2,the_carrier(sK0))
| ~ element(sK1,the_carrier(sK0)) ),
inference(forward_subsumption_resolution,[],[f142,f82]) ).
fof(f144,plain,
( ~ below(sK0,meet(sK0,sK2,sK1),sK1)
| ~ meet_semilatt_str(sK0)
| ~ element(sK2,the_carrier(sK0))
| ~ element(sK1,the_carrier(sK0)) ),
inference(forward_subsumption_resolution,[],[f143,f81]) ).
fof(f145,plain,
( ~ below(sK0,meet(sK0,sK2,sK1),sK1)
| ~ meet_semilatt_str(sK0)
| ~ element(sK1,the_carrier(sK0)) ),
inference(forward_subsumption_resolution,[],[f144,f84]) ).
fof(f146,plain,
( ~ below(sK0,meet(sK0,sK2,sK1),sK1)
| ~ meet_semilatt_str(sK0) ),
inference(forward_subsumption_resolution,[],[f145,f83]) ).
fof(f148,plain,
! [X2,X0,X1] :
( X0 != X0
| below(X1,meet(X1,X2,X0),X0)
| ~ element(X0,the_carrier(X1))
| ~ element(meet(X1,X2,X0),the_carrier(X1))
| empty_carrier(X1)
| ~ join_semilatt_str(X1)
| ~ element(X0,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ meet_absorbing(X1)
| empty_carrier(X1)
| ~ latt_str(X1) ),
inference(superposition,[],[f91,f95]) ).
fof(f151,plain,
! [X2,X0,X1] :
( X0 != X0
| below(X1,meet(X1,X2,X0),X0)
| ~ element(X0,the_carrier(X1))
| ~ element(meet(X1,X2,X0),the_carrier(X1))
| empty_carrier(X1)
| ~ join_semilatt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ meet_absorbing(X1)
| ~ latt_str(X1) ),
inference(duplicate_literal_removal,[],[f148]) ).
fof(f152,plain,
! [X2,X0,X1] :
( below(X1,meet(X1,X2,X0),X0)
| ~ element(X0,the_carrier(X1))
| ~ element(meet(X1,X2,X0),the_carrier(X1))
| empty_carrier(X1)
| ~ join_semilatt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ meet_absorbing(X1)
| ~ latt_str(X1) ),
inference(trivial_inequality_removal,[],[f151]) ).
fof(f154,plain,
! [X2,X0,X1] :
( below(X1,meet(X1,X2,X0),X0)
| ~ element(X0,the_carrier(X1))
| ~ element(meet(X1,X2,X0),the_carrier(X1))
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ meet_absorbing(X1)
| ~ latt_str(X1) ),
inference(forward_subsumption_resolution,[],[f152,f93]) ).
fof(f196,plain,
( ~ element(sK1,the_carrier(sK0))
| ~ element(meet(sK0,sK2,sK1),the_carrier(sK0))
| empty_carrier(sK0)
| ~ element(sK2,the_carrier(sK0))
| ~ meet_absorbing(sK0)
| ~ latt_str(sK0)
| ~ meet_semilatt_str(sK0) ),
inference(resolution,[],[f154,f146]) ).
fof(f205,plain,
( ~ element(meet(sK0,sK2,sK1),the_carrier(sK0))
| empty_carrier(sK0)
| ~ element(sK2,the_carrier(sK0))
| ~ meet_absorbing(sK0)
| ~ latt_str(sK0)
| ~ meet_semilatt_str(sK0) ),
inference(forward_subsumption_resolution,[],[f196,f83]) ).
fof(f208,plain,
( ~ element(meet(sK0,sK2,sK1),the_carrier(sK0))
| ~ element(sK2,the_carrier(sK0))
| ~ meet_absorbing(sK0)
| ~ latt_str(sK0)
| ~ meet_semilatt_str(sK0) ),
inference(forward_subsumption_resolution,[],[f205,f82]) ).
fof(f209,plain,
( ~ element(meet(sK0,sK2,sK1),the_carrier(sK0))
| ~ meet_absorbing(sK0)
| ~ latt_str(sK0)
| ~ meet_semilatt_str(sK0) ),
inference(forward_subsumption_resolution,[],[f208,f84]) ).
fof(f210,plain,
( ~ element(meet(sK0,sK2,sK1),the_carrier(sK0))
| ~ latt_str(sK0)
| ~ meet_semilatt_str(sK0) ),
inference(forward_subsumption_resolution,[],[f209,f80]) ).
fof(f211,plain,
( ~ element(meet(sK0,sK2,sK1),the_carrier(sK0))
| ~ meet_semilatt_str(sK0) ),
inference(forward_subsumption_resolution,[],[f210,f79]) ).
fof(f212,plain,
( ~ meet_semilatt_str(sK0)
| empty_carrier(sK0)
| ~ meet_semilatt_str(sK0)
| ~ element(sK2,the_carrier(sK0))
| ~ element(sK1,the_carrier(sK0)) ),
inference(resolution,[],[f211,f99]) ).
fof(f213,plain,
( ~ meet_semilatt_str(sK0)
| empty_carrier(sK0)
| ~ element(sK2,the_carrier(sK0))
| ~ element(sK1,the_carrier(sK0)) ),
inference(duplicate_literal_removal,[],[f212]) ).
fof(f214,plain,
( ~ meet_semilatt_str(sK0)
| ~ element(sK2,the_carrier(sK0))
| ~ element(sK1,the_carrier(sK0)) ),
inference(forward_subsumption_resolution,[],[f213,f82]) ).
fof(f215,plain,
( ~ meet_semilatt_str(sK0)
| ~ element(sK1,the_carrier(sK0)) ),
inference(forward_subsumption_resolution,[],[f214,f84]) ).
fof(f216,plain,
~ meet_semilatt_str(sK0),
inference(forward_subsumption_resolution,[],[f215,f83]) ).
fof(f230,plain,
~ latt_str(sK0),
inference(resolution,[],[f216,f94]) ).
fof(f231,plain,
$false,
inference(forward_subsumption_resolution,[],[f230,f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU304+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 % Computer : n026.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.13/0.42 % CPULimit : 300
% 0.13/0.42 % WCLimit : 300
% 0.13/0.42 % DateTime : Mon Sep 28 04:40:27 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 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
% 3.46/1.45 % (3462518)Detected formulas, will run a generic FOF schedule.
% 3.46/1.45 % (3462620)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4178654359:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.46/1.45 % (3462620)Refutation not found, incomplete strategy
% 3.46/1.45 % (3462620)------------------------------
% 3.46/1.45 % (3462620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.45 % (3462620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.45 % (3462620)CaDiCaL version: 2.1.3
% 3.46/1.45 % (3462620)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.45 % (3462620)Time elapsed: 0.001 s
% 3.46/1.45 % (3462620)Peak memory usage: 88 MB
% 3.46/1.45 % (3462620)Instructions burned: 1 (million)
% 3.46/1.45 % (3462621)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2657916383:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.46/1.45 % (3462621)First to succeed.
% 3.46/1.45 % (3462618)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=3433827957:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.46/1.45 % (3462617)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=2165784378:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.46/1.45 % (3462623)dis-21_1_sil=8000:lcm=predicate:random_seed=2970626562: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)
% 3.46/1.45 % (3462621)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3462518"
% 3.46/1.45 % (3462619)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=3850489035:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.46/1.45 % (3462622)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1035920029:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.46/1.45 % (3462622)Also succeeded, but the first one will report.
% 3.46/1.45 % (3462623)Instruction limit reached!
% 3.46/1.45 % (3462623)------------------------------
% 3.46/1.45 % (3462623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.45 % (3462623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.45 % (3462623)CaDiCaL version: 2.1.3
% 3.46/1.45 % (3462623)Termination reason: Instruction limit
% 3.46/1.45 % (3462623)Termination phase: Saturation
% 3.46/1.45 % (3462623)Time elapsed: 0.083 s
% 3.46/1.45 % (3462623)Peak memory usage: 90 MB
% 3.46/1.45 % (3462623)Instructions burned: 129 (million)
% 3.46/1.45 % (3462620)------------------------------
% 3.46/1.45 % (3462620)------------------------------
% 3.46/1.45 % (3462651)lrs+10_1_sil=8000:sp=occurrence:random_seed=672763340:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.46/1.45 % (3462651)Also succeeded, but the first one will report.
% 3.46/1.45 % (3462659)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2858779143:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.46/1.45 % (3462659)Also succeeded, but the first one will report.
% 3.46/1.45 % (3462621)Refutation found. Thanks to Tanya!
% 3.46/1.45 % SZS status Theorem for theBenchmark
% 3.46/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 4.36/1.67 % (3462621)------------------------------
% 4.36/1.67 % (3462621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.67 % (3462621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.67 % (3462621)CaDiCaL version: 2.1.3
% 4.36/1.67 % (3462621)Termination reason: Refutation
% 4.36/1.67 % (3462621)Time elapsed: 0.006 s
% 4.36/1.67 % (3462621)Peak memory usage: 88 MB
% 4.36/1.67 % (3462621)Instructions burned: 8 (million)
% 4.36/1.67 % (3462621)------------------------------
% 4.36/1.67 % (3462621)------------------------------
% 4.36/1.67 % (3462518)Success in time 0.532 s
% 4.36/1.67 % Vampire exiting
%------------------------------------------------------------------------------