%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU345+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 12:52:57 PM UTC 2026
% Result : Theorem 7.22s 3.53s
% Output : Refutation 7.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 15
% Syntax : Number of formulae : 113 ( 29 unt; 2 def)
% Number of atoms : 446 ( 160 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 540 ( 207 ~; 233 |; 77 &)
% ( 9 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 4 con; 0-3 aty)
% Number of variables : 188 ( 171 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f12,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& meet_semilatt_str(X0) )
=> ( lower_bounded_semilattstr(X0)
<=> ? [X1] :
( element(X1,the_carrier(X0))
& ! [X2] :
( element(X2,the_carrier(X0))
=> ( meet(X0,X1,X2) = X1
& meet(X0,X2,X1) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_lattices) ).
fof(f13,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& meet_semilatt_str(X0) )
=> ( lower_bounded_semilattstr(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ( X1 = bottom_of_semilattstr(X0)
<=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( meet(X0,X1,X2) = X1
& meet(X0,X2,X1) = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d16_lattices) ).
fof(f15,axiom,
! [X0,X1] :
( ( strict_latt_str(X1)
& latt_str(X1) )
=> ( X1 = boole_lattice(X0)
<=> ( the_carrier(X1) = powerset(X0)
& ! [X2] :
( element(X2,powerset(X0))
=> ! [X3] :
( element(X3,powerset(X0))
=> ( apply_binary(the_L_join(X1),X2,X3) = subset_union2(X0,X2,X3)
& apply_binary(the_L_meet(X1),X2,X3) = subset_intersection2(X0,X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_lattice3) ).
fof(f22,axiom,
! [X0] :
( strict_latt_str(boole_lattice(X0))
& latt_str(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice3) ).
fof(f36,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& meet_semilatt_str(X0) )
=> element(bottom_of_semilattstr(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(f41,axiom,
! [X0] :
( latt_str(X0)
=> ( meet_semilatt_str(X0)
& join_semilatt_str(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f60,axiom,
! [X0] :
( ~ empty_carrier(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0))
& join_commutative(boole_lattice(X0))
& join_associative(boole_lattice(X0))
& meet_commutative(boole_lattice(X0))
& meet_associative(boole_lattice(X0))
& meet_absorbing(boole_lattice(X0))
& join_absorbing(boole_lattice(X0))
& lattice(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_lattice3) ).
fof(f77,axiom,
! [X0] :
? [X1] :
( element(X1,powerset(X0))
& empty(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f91,axiom,
! [X0,X1] :
( element(X1,the_carrier(boole_lattice(X0)))
=> ! [X2] :
( element(X2,the_carrier(boole_lattice(X0)))
=> ( join(boole_lattice(X0),X1,X2) = set_union2(X1,X2)
& meet(boole_lattice(X0),X1,X2) = set_intersection2(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_lattice3) ).
fof(f93,axiom,
! [X0] : set_intersection2(X0,empty_set) = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_boole) ).
fof(f96,conjecture,
! [X0] :
( lower_bounded_semilattstr(boole_lattice(X0))
& bottom_of_semilattstr(boole_lattice(X0)) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_lattice3) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( lower_bounded_semilattstr(boole_lattice(X0))
& bottom_of_semilattstr(boole_lattice(X0)) = empty_set ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f101,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f130,plain,
! [X0] :
( ( lower_bounded_semilattstr(X0)
<=> ? [X1] :
( element(X1,the_carrier(X0))
& ! [X2] :
( ( meet(X0,X1,X2) = X1
& meet(X0,X2,X1) = X1 )
| ~ element(X2,the_carrier(X0)) ) ) )
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f131,plain,
! [X0] :
( ( lower_bounded_semilattstr(X0)
<=> ? [X1] :
( element(X1,the_carrier(X0))
& ! [X2] :
( ( meet(X0,X1,X2) = X1
& meet(X0,X2,X1) = X1 )
| ~ element(X2,the_carrier(X0)) ) ) )
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(flattening,[],[f130]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ( X1 = bottom_of_semilattstr(X0)
<=> ! [X2] :
( ( meet(X0,X1,X2) = X1
& meet(X0,X2,X1) = X1 )
| ~ element(X2,the_carrier(X0)) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ( X1 = bottom_of_semilattstr(X0)
<=> ! [X2] :
( ( meet(X0,X1,X2) = X1
& meet(X0,X2,X1) = X1 )
| ~ element(X2,the_carrier(X0)) ) )
| ~ element(X1,the_carrier(X0)) )
| ~ lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(flattening,[],[f132]) ).
fof(f136,plain,
! [X0,X1] :
( ( X1 = boole_lattice(X0)
<=> ( the_carrier(X1) = powerset(X0)
& ! [X2] :
( ! [X3] :
( ( apply_binary(the_L_join(X1),X2,X3) = subset_union2(X0,X2,X3)
& apply_binary(the_L_meet(X1),X2,X3) = subset_intersection2(X0,X2,X3) )
| ~ element(X3,powerset(X0)) )
| ~ element(X2,powerset(X0)) ) ) )
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f137,plain,
! [X0,X1] :
( ( X1 = boole_lattice(X0)
<=> ( the_carrier(X1) = powerset(X0)
& ! [X2] :
( ! [X3] :
( ( apply_binary(the_L_join(X1),X2,X3) = subset_union2(X0,X2,X3)
& apply_binary(the_L_meet(X1),X2,X3) = subset_intersection2(X0,X2,X3) )
| ~ element(X3,powerset(X0)) )
| ~ element(X2,powerset(X0)) ) ) )
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(flattening,[],[f136]) ).
fof(f154,plain,
! [X0] :
( element(bottom_of_semilattstr(X0),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f155,plain,
! [X0] :
( element(bottom_of_semilattstr(X0),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(flattening,[],[f154]) ).
fof(f160,plain,
! [X0] :
( ( meet_semilatt_str(X0)
& join_semilatt_str(X0) )
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f197,plain,
! [X0,X1] :
( ! [X2] :
( ( join(boole_lattice(X0),X1,X2) = set_union2(X1,X2)
& meet(boole_lattice(X0),X1,X2) = set_intersection2(X1,X2) )
| ~ element(X2,the_carrier(boole_lattice(X0))) )
| ~ element(X1,the_carrier(boole_lattice(X0))) ),
inference(ennf_transformation,[],[f91]) ).
fof(f201,plain,
? [X0] :
( ~ lower_bounded_semilattstr(boole_lattice(X0))
| empty_set != bottom_of_semilattstr(boole_lattice(X0)) ),
inference(ennf_transformation,[],[f97]) ).
fof(f206,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f209,plain,
! [X0] :
( ( ( lower_bounded_semilattstr(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ? [X2] :
( ( meet(X0,X1,X2) != X1
| meet(X0,X2,X1) != X1 )
& element(X2,the_carrier(X0)) ) ) )
& ( ? [X1] :
( element(X1,the_carrier(X0))
& ! [X2] :
( ( meet(X0,X1,X2) = X1
& meet(X0,X2,X1) = X1 )
| ~ element(X2,the_carrier(X0)) ) )
| ~ lower_bounded_semilattstr(X0) ) )
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(nnf_transformation,[],[f131]) ).
fof(f210,plain,
! [X0] :
( ( ( lower_bounded_semilattstr(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ? [X2] :
( ( meet(X0,X1,X2) != X1
| meet(X0,X2,X1) != X1 )
& element(X2,the_carrier(X0)) ) ) )
& ( ? [X3] :
( element(X3,the_carrier(X0))
& ! [X4] :
( ( meet(X0,X3,X4) = X3
& meet(X0,X4,X3) = X3 )
| ~ element(X4,the_carrier(X0)) ) )
| ~ lower_bounded_semilattstr(X0) ) )
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(rectify,[],[f209]) ).
fof(f211,plain,
! [X0] :
( ( ( lower_bounded_semilattstr(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ( ( meet(X0,X1,sK0(X0,X1)) != X1
| meet(X0,sK0(X0,X1),X1) != X1 )
& element(sK0(X0,X1),the_carrier(X0)) ) ) )
& ( ( element(sK1(X0),the_carrier(X0))
& ! [X4] :
( ( sK1(X0) = meet(X0,sK1(X0),X4)
& sK1(X0) = meet(X0,X4,sK1(X0)) )
| ~ element(X4,the_carrier(X0)) ) )
| ~ lower_bounded_semilattstr(X0) ) )
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0))],[f210]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = bottom_of_semilattstr(X0)
| ? [X2] :
( ( meet(X0,X1,X2) != X1
| meet(X0,X2,X1) != X1 )
& element(X2,the_carrier(X0)) ) )
& ( ! [X2] :
( ( meet(X0,X1,X2) = X1
& meet(X0,X2,X1) = X1 )
| ~ element(X2,the_carrier(X0)) )
| bottom_of_semilattstr(X0) != X1 ) )
| ~ element(X1,the_carrier(X0)) )
| ~ lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(nnf_transformation,[],[f133]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = bottom_of_semilattstr(X0)
| ? [X2] :
( ( meet(X0,X1,X2) != X1
| meet(X0,X2,X1) != X1 )
& element(X2,the_carrier(X0)) ) )
& ( ! [X3] :
( ( meet(X0,X1,X3) = X1
& meet(X0,X3,X1) = X1 )
| ~ element(X3,the_carrier(X0)) )
| bottom_of_semilattstr(X0) != X1 ) )
| ~ element(X1,the_carrier(X0)) )
| ~ lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(rectify,[],[f212]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = bottom_of_semilattstr(X0)
| ( ( meet(X0,X1,sK2(X0,X1)) != X1
| meet(X0,sK2(X0,X1),X1) != X1 )
& element(sK2(X0,X1),the_carrier(X0)) ) )
& ( ! [X3] :
( ( meet(X0,X1,X3) = X1
& meet(X0,X3,X1) = X1 )
| ~ element(X3,the_carrier(X0)) )
| bottom_of_semilattstr(X0) != X1 ) )
| ~ element(X1,the_carrier(X0)) )
| ~ lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f213]) ).
fof(f215,plain,
! [X0,X1] :
( ( ( X1 = boole_lattice(X0)
| powerset(X0) != the_carrier(X1)
| ? [X2] :
( ? [X3] :
( ( apply_binary(the_L_join(X1),X2,X3) != subset_union2(X0,X2,X3)
| apply_binary(the_L_meet(X1),X2,X3) != subset_intersection2(X0,X2,X3) )
& element(X3,powerset(X0)) )
& element(X2,powerset(X0)) ) )
& ( ( the_carrier(X1) = powerset(X0)
& ! [X2] :
( ! [X3] :
( ( apply_binary(the_L_join(X1),X2,X3) = subset_union2(X0,X2,X3)
& apply_binary(the_L_meet(X1),X2,X3) = subset_intersection2(X0,X2,X3) )
| ~ element(X3,powerset(X0)) )
| ~ element(X2,powerset(X0)) ) )
| boole_lattice(X0) != X1 ) )
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(nnf_transformation,[],[f137]) ).
fof(f216,plain,
! [X0,X1] :
( ( ( X1 = boole_lattice(X0)
| powerset(X0) != the_carrier(X1)
| ? [X2] :
( ? [X3] :
( ( apply_binary(the_L_join(X1),X2,X3) != subset_union2(X0,X2,X3)
| apply_binary(the_L_meet(X1),X2,X3) != subset_intersection2(X0,X2,X3) )
& element(X3,powerset(X0)) )
& element(X2,powerset(X0)) ) )
& ( ( the_carrier(X1) = powerset(X0)
& ! [X2] :
( ! [X3] :
( ( apply_binary(the_L_join(X1),X2,X3) = subset_union2(X0,X2,X3)
& apply_binary(the_L_meet(X1),X2,X3) = subset_intersection2(X0,X2,X3) )
| ~ element(X3,powerset(X0)) )
| ~ element(X2,powerset(X0)) ) )
| boole_lattice(X0) != X1 ) )
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(flattening,[],[f215]) ).
fof(f217,plain,
! [X0,X1] :
( ( ( X1 = boole_lattice(X0)
| powerset(X0) != the_carrier(X1)
| ? [X2] :
( ? [X3] :
( ( apply_binary(the_L_join(X1),X2,X3) != subset_union2(X0,X2,X3)
| apply_binary(the_L_meet(X1),X2,X3) != subset_intersection2(X0,X2,X3) )
& element(X3,powerset(X0)) )
& element(X2,powerset(X0)) ) )
& ( ( the_carrier(X1) = powerset(X0)
& ! [X4] :
( ! [X5] :
( ( apply_binary(the_L_join(X1),X4,X5) = subset_union2(X0,X4,X5)
& apply_binary(the_L_meet(X1),X4,X5) = subset_intersection2(X0,X4,X5) )
| ~ element(X5,powerset(X0)) )
| ~ element(X4,powerset(X0)) ) )
| boole_lattice(X0) != X1 ) )
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(rectify,[],[f216]) ).
fof(f218,plain,
! [X0,X1] :
( ( ( X1 = boole_lattice(X0)
| powerset(X0) != the_carrier(X1)
| ( ( apply_binary(the_L_join(X1),sK3(X0,X1),sK4(X0,X1)) != subset_union2(X0,sK3(X0,X1),sK4(X0,X1))
| apply_binary(the_L_meet(X1),sK3(X0,X1),sK4(X0,X1)) != subset_intersection2(X0,sK3(X0,X1),sK4(X0,X1)) )
& element(sK4(X0,X1),powerset(X0))
& element(sK3(X0,X1),powerset(X0)) ) )
& ( ( the_carrier(X1) = powerset(X0)
& ! [X4] :
( ! [X5] :
( ( apply_binary(the_L_join(X1),X4,X5) = subset_union2(X0,X4,X5)
& apply_binary(the_L_meet(X1),X4,X5) = subset_intersection2(X0,X4,X5) )
| ~ element(X5,powerset(X0)) )
| ~ element(X4,powerset(X0)) ) )
| boole_lattice(X0) != X1 ) )
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X2,sK3(X0,X1)),skolemize(X3,sK4(X0,X1))],[f217]) ).
fof(f228,plain,
! [X0] :
( element(sK14(X0),powerset(X0))
& empty(sK14(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X1,sK14(X0))],[f77]) ).
fof(f236,plain,
( ~ lower_bounded_semilattstr(boole_lattice(sK21))
| empty_set != bottom_of_semilattstr(boole_lattice(sK21)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X0,sK21)],[f201]) ).
fof(f251,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f8]) ).
fof(f258,plain,
! [X0,X1] :
( element(sK0(X0,X1),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f259,plain,
! [X0,X1] :
( meet(X0,sK0(X0,X1),X1) != X1
| ~ element(X1,the_carrier(X0))
| meet(X0,X1,sK0(X0,X1)) != X1
| lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f260,plain,
! [X3,X0,X1] :
( meet(X0,X3,X1) = X1
| ~ element(X3,the_carrier(X0))
| bottom_of_semilattstr(X0) != X1
| ~ element(X1,the_carrier(X0))
| ~ lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f267,plain,
! [X0,X1] :
( powerset(X0) = the_carrier(X1)
| boole_lattice(X0) != X1
| ~ strict_latt_str(X1)
| ~ latt_str(X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f276,plain,
! [X0] : latt_str(boole_lattice(X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f283,plain,
! [X0] :
( element(bottom_of_semilattstr(X0),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f288,plain,
! [X0] :
( ~ latt_str(X0)
| meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f318,plain,
! [X0] : strict_latt_str(boole_lattice(X0)),
inference(cnf_transformation,[],[f60]) ).
fof(f319,plain,
! [X0] : ~ empty_carrier(boole_lattice(X0)),
inference(cnf_transformation,[],[f60]) ).
fof(f346,plain,
! [X0] : empty(sK14(X0)),
inference(cnf_transformation,[],[f228]) ).
fof(f347,plain,
! [X0] : element(sK14(X0),powerset(X0)),
inference(cnf_transformation,[],[f228]) ).
fof(f376,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(boole_lattice(X0)))
| set_intersection2(X1,X2) = meet(boole_lattice(X0),X1,X2)
| ~ element(X1,the_carrier(boole_lattice(X0))) ),
inference(cnf_transformation,[],[f197]) ).
fof(f379,plain,
! [X0] : empty_set = set_intersection2(X0,empty_set),
inference(cnf_transformation,[],[f93]) ).
fof(f382,plain,
( ~ lower_bounded_semilattstr(boole_lattice(sK21))
| empty_set != bottom_of_semilattstr(boole_lattice(sK21)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f386,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f206]) ).
fof(f391,plain,
! [X3,X0] :
( bottom_of_semilattstr(X0) = meet(X0,X3,bottom_of_semilattstr(X0))
| ~ element(X3,the_carrier(X0))
| ~ element(bottom_of_semilattstr(X0),the_carrier(X0))
| ~ lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(equality_resolution,[],[f260]) ).
fof(f392,plain,
! [X0] :
( powerset(X0) = the_carrier(boole_lattice(X0))
| ~ strict_latt_str(boole_lattice(X0))
| ~ latt_str(boole_lattice(X0)) ),
inference(equality_resolution,[],[f267]) ).
fof(f395,definition,
sF22 = boole_lattice(sK21),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f396,plain,
boole_lattice(sK21) = sF22,
inference(reorient_equations,[],[f395]) ).
fof(f397,definition,
sF23 = bottom_of_semilattstr(sF22),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f398,plain,
bottom_of_semilattstr(sF22) = sF23,
inference(reorient_equations,[],[f397]) ).
fof(f399,plain,
( empty_set != sF23
| ~ lower_bounded_semilattstr(sF22) ),
inference(definition_folding,[],[f382,f398,f396,f396]) ).
fof(f402,plain,
! [X0] :
( powerset(X0) = the_carrier(boole_lattice(X0))
| ~ latt_str(boole_lattice(X0)) ),
inference(forward_subsumption_resolution,[],[f392,f318]) ).
fof(f403,plain,
! [X3,X0] :
( ~ element(X3,the_carrier(X0))
| bottom_of_semilattstr(X0) = meet(X0,X3,bottom_of_semilattstr(X0))
| ~ lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(forward_subsumption_resolution,[],[f391,f283]) ).
fof(f407,plain,
! [X0] : powerset(X0) = the_carrier(boole_lattice(X0)),
inference(forward_subsumption_resolution,[],[f402,f276]) ).
fof(f415,plain,
! [X0] : meet_semilatt_str(boole_lattice(X0)),
inference(resolution,[],[f288,f276]) ).
fof(f423,plain,
latt_str(sF22),
inference(superposition,[],[f276,f396]) ).
fof(f432,plain,
~ empty_carrier(sF22),
inference(superposition,[],[f319,f396]) ).
fof(f438,plain,
meet_semilatt_str(sF22),
inference(resolution,[],[f423,f288]) ).
fof(f442,plain,
! [X0] : empty_set = sK14(X0),
inference(resolution,[],[f386,f346]) ).
fof(f447,plain,
powerset(sK21) = the_carrier(sF22),
inference(superposition,[],[f407,f396]) ).
fof(f463,plain,
! [X0] : empty_set = set_intersection2(empty_set,X0),
inference(superposition,[],[f379,f251]) ).
fof(f476,plain,
! [X0] : element(empty_set,powerset(X0)),
inference(superposition,[],[f347,f442]) ).
fof(f484,plain,
element(empty_set,the_carrier(sF22)),
inference(superposition,[],[f476,f447]) ).
fof(f861,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| bottom_of_semilattstr(boole_lattice(X0)) = meet(boole_lattice(X0),X1,bottom_of_semilattstr(boole_lattice(X0)))
| ~ lower_bounded_semilattstr(boole_lattice(X0))
| empty_carrier(boole_lattice(X0))
| ~ meet_semilatt_str(boole_lattice(X0)) ),
inference(superposition,[],[f403,f407]) ).
fof(f865,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| bottom_of_semilattstr(boole_lattice(X0)) = meet(boole_lattice(X0),X1,bottom_of_semilattstr(boole_lattice(X0)))
| ~ lower_bounded_semilattstr(boole_lattice(X0))
| ~ meet_semilatt_str(boole_lattice(X0)) ),
inference(forward_subsumption_resolution,[],[f861,f319]) ).
fof(f870,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| bottom_of_semilattstr(boole_lattice(X0)) = meet(boole_lattice(X0),X1,bottom_of_semilattstr(boole_lattice(X0)))
| ~ lower_bounded_semilattstr(boole_lattice(X0)) ),
inference(forward_subsumption_resolution,[],[f865,f415]) ).
fof(f958,plain,
! [X0,X1] :
( set_intersection2(X0,bottom_of_semilattstr(boole_lattice(X1))) = meet(boole_lattice(X1),X0,bottom_of_semilattstr(boole_lattice(X1)))
| ~ element(X0,the_carrier(boole_lattice(X1)))
| empty_carrier(boole_lattice(X1))
| ~ meet_semilatt_str(boole_lattice(X1)) ),
inference(resolution,[],[f376,f283]) ).
fof(f960,plain,
! [X2,X0,X1] :
( set_intersection2(X0,sK0(boole_lattice(X1),X2)) = meet(boole_lattice(X1),X0,sK0(boole_lattice(X1),X2))
| ~ element(X0,the_carrier(boole_lattice(X1)))
| ~ element(X2,the_carrier(boole_lattice(X1)))
| lower_bounded_semilattstr(boole_lattice(X1))
| empty_carrier(boole_lattice(X1))
| ~ meet_semilatt_str(boole_lattice(X1)) ),
inference(resolution,[],[f376,f258]) ).
fof(f963,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(sF22))
| set_intersection2(X1,X0) = meet(sF22,X1,X0)
| ~ element(X0,the_carrier(sF22)) ),
inference(superposition,[],[f376,f396]) ).
fof(f967,plain,
! [X2,X0,X1] :
( set_intersection2(X0,sK0(boole_lattice(X1),X2)) = meet(boole_lattice(X1),X0,sK0(boole_lattice(X1),X2))
| ~ element(X0,the_carrier(boole_lattice(X1)))
| ~ element(X2,the_carrier(boole_lattice(X1)))
| lower_bounded_semilattstr(boole_lattice(X1))
| ~ meet_semilatt_str(boole_lattice(X1)) ),
inference(forward_subsumption_resolution,[],[f960,f319]) ).
fof(f969,plain,
! [X0,X1] :
( set_intersection2(X0,bottom_of_semilattstr(boole_lattice(X1))) = meet(boole_lattice(X1),X0,bottom_of_semilattstr(boole_lattice(X1)))
| ~ element(X0,the_carrier(boole_lattice(X1)))
| ~ meet_semilatt_str(boole_lattice(X1)) ),
inference(forward_subsumption_resolution,[],[f958,f319]) ).
fof(f973,plain,
! [X2,X0,X1] :
( set_intersection2(X0,sK0(boole_lattice(X1),X2)) = meet(boole_lattice(X1),X0,sK0(boole_lattice(X1),X2))
| ~ element(X0,the_carrier(boole_lattice(X1)))
| ~ element(X2,the_carrier(boole_lattice(X1)))
| lower_bounded_semilattstr(boole_lattice(X1)) ),
inference(forward_subsumption_resolution,[],[f967,f415]) ).
fof(f975,plain,
! [X0,X1] :
( set_intersection2(X0,bottom_of_semilattstr(boole_lattice(X1))) = meet(boole_lattice(X1),X0,bottom_of_semilattstr(boole_lattice(X1)))
| ~ element(X0,the_carrier(boole_lattice(X1))) ),
inference(forward_subsumption_resolution,[],[f969,f415]) ).
fof(f978,plain,
! [X2,X0,X1] :
( ~ element(X0,powerset(X1))
| set_intersection2(X0,sK0(boole_lattice(X1),X2)) = meet(boole_lattice(X1),X0,sK0(boole_lattice(X1),X2))
| ~ element(X2,the_carrier(boole_lattice(X1)))
| lower_bounded_semilattstr(boole_lattice(X1)) ),
inference(forward_demodulation,[],[f973,f407]) ).
fof(f980,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| set_intersection2(X0,bottom_of_semilattstr(boole_lattice(X1))) = meet(boole_lattice(X1),X0,bottom_of_semilattstr(boole_lattice(X1))) ),
inference(forward_demodulation,[],[f975,f407]) ).
fof(f982,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(X1))
| ~ element(X0,powerset(X1))
| set_intersection2(X0,sK0(boole_lattice(X1),X2)) = meet(boole_lattice(X1),X0,sK0(boole_lattice(X1),X2))
| lower_bounded_semilattstr(boole_lattice(X1)) ),
inference(forward_demodulation,[],[f978,f407]) ).
fof(f2185,plain,
! [X0,X1] :
( set_intersection2(sK0(sF22,X0),X1) = meet(sF22,sK0(sF22,X0),X1)
| ~ element(X1,the_carrier(sF22))
| ~ element(X0,the_carrier(sF22))
| lower_bounded_semilattstr(sF22)
| empty_carrier(sF22)
| ~ meet_semilatt_str(sF22) ),
inference(resolution,[],[f963,f258]) ).
fof(f2197,plain,
! [X0,X1] :
( set_intersection2(sK0(sF22,X0),X1) = meet(sF22,sK0(sF22,X0),X1)
| ~ element(X1,the_carrier(sF22))
| ~ element(X0,the_carrier(sF22))
| lower_bounded_semilattstr(sF22)
| ~ meet_semilatt_str(sF22) ),
inference(forward_subsumption_resolution,[],[f2185,f432]) ).
fof(f2204,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(sF22))
| set_intersection2(sK0(sF22,X0),X1) = meet(sF22,sK0(sF22,X0),X1)
| ~ element(X0,the_carrier(sF22))
| lower_bounded_semilattstr(sF22) ),
inference(forward_subsumption_resolution,[],[f2197,f438]) ).
fof(f2594,plain,
! [X0] : set_intersection2(empty_set,bottom_of_semilattstr(boole_lattice(X0))) = meet(boole_lattice(X0),empty_set,bottom_of_semilattstr(boole_lattice(X0))),
inference(resolution,[],[f980,f476]) ).
fof(f2613,plain,
! [X0] : empty_set = meet(boole_lattice(X0),empty_set,bottom_of_semilattstr(boole_lattice(X0))),
inference(forward_demodulation,[],[f2594,f463]) ).
fof(f2811,plain,
! [X0] :
( bottom_of_semilattstr(boole_lattice(X0)) = meet(boole_lattice(X0),empty_set,bottom_of_semilattstr(boole_lattice(X0)))
| ~ lower_bounded_semilattstr(boole_lattice(X0)) ),
inference(resolution,[],[f870,f476]) ).
fof(f2831,plain,
! [X0] :
( ~ lower_bounded_semilattstr(boole_lattice(X0))
| empty_set = bottom_of_semilattstr(boole_lattice(X0)) ),
inference(forward_demodulation,[],[f2811,f2613]) ).
fof(f2837,plain,
( ~ lower_bounded_semilattstr(sF22)
| empty_set = bottom_of_semilattstr(sF22) ),
inference(superposition,[],[f2831,f396]) ).
fof(f2838,plain,
( empty_set = sF23
| ~ lower_bounded_semilattstr(sF22) ),
inference(forward_demodulation,[],[f2837,f398]) ).
fof(f2839,plain,
~ lower_bounded_semilattstr(sF22),
inference(forward_subsumption_resolution,[],[f2838,f399]) ).
fof(f4705,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(sF22))
| ~ element(X1,the_carrier(sF22))
| set_intersection2(X1,sK0(boole_lattice(sK21),X0)) = meet(boole_lattice(sK21),X1,sK0(boole_lattice(sK21),X0))
| lower_bounded_semilattstr(boole_lattice(sK21)) ),
inference(superposition,[],[f982,f447]) ).
fof(f4707,plain,
! [X0,X1] :
( set_intersection2(X1,sK0(sF22,X0)) = meet(sF22,X1,sK0(sF22,X0))
| ~ element(X0,the_carrier(sF22))
| ~ element(X1,the_carrier(sF22))
| lower_bounded_semilattstr(boole_lattice(sK21)) ),
inference(forward_demodulation,[],[f4705,f396]) ).
fof(f4712,plain,
! [X0,X1] :
( lower_bounded_semilattstr(sF22)
| set_intersection2(X1,sK0(sF22,X0)) = meet(sF22,X1,sK0(sF22,X0))
| ~ element(X0,the_carrier(sF22))
| ~ element(X1,the_carrier(sF22)) ),
inference(forward_demodulation,[],[f4707,f396]) ).
fof(f4713,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(sF22))
| ~ element(X0,the_carrier(sF22))
| set_intersection2(X1,sK0(sF22,X0)) = meet(sF22,X1,sK0(sF22,X0)) ),
inference(forward_subsumption_resolution,[],[f4712,f2839]) ).
fof(f4974,plain,
! [X0] :
( ~ element(X0,the_carrier(sF22))
| set_intersection2(empty_set,sK0(sF22,X0)) = meet(sF22,empty_set,sK0(sF22,X0)) ),
inference(resolution,[],[f4713,f484]) ).
fof(f4990,plain,
! [X0] :
( ~ element(X0,the_carrier(sF22))
| empty_set = meet(sF22,empty_set,sK0(sF22,X0)) ),
inference(forward_demodulation,[],[f4974,f463]) ).
fof(f30543,plain,
! [X0] :
( set_intersection2(sK0(sF22,X0),empty_set) = meet(sF22,sK0(sF22,X0),empty_set)
| ~ element(X0,the_carrier(sF22))
| lower_bounded_semilattstr(sF22) ),
inference(resolution,[],[f2204,f484]) ).
fof(f30573,plain,
! [X0] :
( set_intersection2(sK0(sF22,X0),empty_set) = meet(sF22,sK0(sF22,X0),empty_set)
| ~ element(X0,the_carrier(sF22)) ),
inference(forward_subsumption_resolution,[],[f30543,f2839]) ).
fof(f30596,plain,
! [X0] :
( ~ element(X0,the_carrier(sF22))
| empty_set = meet(sF22,sK0(sF22,X0),empty_set) ),
inference(forward_demodulation,[],[f30573,f379]) ).
fof(f31072,plain,
empty_set = meet(sF22,sK0(sF22,empty_set),empty_set),
inference(resolution,[],[f30596,f484]) ).
fof(f31102,plain,
( empty_set != empty_set
| ~ element(empty_set,the_carrier(sF22))
| empty_set != meet(sF22,empty_set,sK0(sF22,empty_set))
| lower_bounded_semilattstr(sF22)
| empty_carrier(sF22)
| ~ meet_semilatt_str(sF22) ),
inference(superposition,[],[f259,f31072]) ).
fof(f31105,plain,
( ~ element(empty_set,the_carrier(sF22))
| empty_set != meet(sF22,empty_set,sK0(sF22,empty_set))
| lower_bounded_semilattstr(sF22)
| empty_carrier(sF22)
| ~ meet_semilatt_str(sF22) ),
inference(trivial_inequality_removal,[],[f31102]) ).
fof(f31106,plain,
( ~ element(empty_set,the_carrier(sF22))
| lower_bounded_semilattstr(sF22)
| empty_carrier(sF22)
| ~ meet_semilatt_str(sF22) ),
inference(forward_subsumption_resolution,[],[f31105,f4990]) ).
fof(f31107,plain,
( lower_bounded_semilattstr(sF22)
| empty_carrier(sF22)
| ~ meet_semilatt_str(sF22) ),
inference(forward_subsumption_resolution,[],[f31106,f484]) ).
fof(f31108,plain,
( empty_carrier(sF22)
| ~ meet_semilatt_str(sF22) ),
inference(forward_subsumption_resolution,[],[f31107,f2839]) ).
fof(f31109,plain,
~ meet_semilatt_str(sF22),
inference(forward_subsumption_resolution,[],[f31108,f432]) ).
fof(f31110,plain,
$false,
inference(forward_subsumption_resolution,[],[f31109,f438]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU345+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n008.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 04:50:10 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.54/1.73 % (1884157)Will run a generic schedule for satisfiability detection.
% 7.54/1.73 % (1884167)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2183979079:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.54/1.73 % (1884163)% WARNING: option uhcvi not known.
% 7.54/1.73 % (1884163)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3621431531:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.54/1.73 % (1884162)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3816761164_2999 on theBenchmark for (2999ds/0Mi)
% 7.54/1.73 % (1884164)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=121097640:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.54/1.73 % (1884165)dis+10_1_sil=32000:sp=arity:random_seed=2409048106:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.54/1.73 % (1884166)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1641340359:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.54/1.73 % (1884168)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3661261875:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.54/1.73 % TRYING [1]
% 7.54/1.73 % TRYING [2]
% 7.54/1.73 % TRYING [3]
% 7.54/1.73 % (1884167)Instruction limit reached!
% 7.54/1.73 % (1884167)------------------------------
% 7.54/1.73 % (1884167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.73 % (1884167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.73 % (1884167)CaDiCaL version: 2.1.3
% 7.54/1.73 % (1884167)Termination reason: Instruction limit
% 7.54/1.73 % (1884167)Termination phase: Saturation
% 7.54/1.73 % (1884167)Time elapsed: 0.044 s
% 7.54/1.73 % (1884167)Peak memory usage: 13 MB
% 7.54/1.73 % (1884167)Instructions burned: 132 (million)
% 7.54/1.73 % (1884176)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2586409901:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.54/1.73 % TRYING [1]
% 7.54/1.73 % TRYING [2]
% 7.54/1.73 % TRYING [3]
% 7.54/1.73 % (1884165)Instruction limit reached!
% 7.54/1.73 % (1884165)------------------------------
% 7.54/1.73 % (1884165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.73 % (1884165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.73 % (1884165)CaDiCaL version: 2.1.3
% 7.54/1.73 % (1884165)Termination reason: Instruction limit
% 7.54/1.73 % (1884165)Termination phase: Saturation
% 7.54/1.73 % (1884165)Time elapsed: 0.065 s
% 7.54/1.73 % (1884165)Peak memory usage: 12 MB
% 7.54/1.73 % (1884165)Instructions burned: 103 (million)
% 7.54/1.73 % (1884166)Instruction limit reached!
% 7.54/1.73 % (1884166)------------------------------
% 7.54/1.73 % (1884166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.73 % (1884166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.73 % (1884166)CaDiCaL version: 2.1.3
% 7.54/1.73 % (1884166)Termination reason: Instruction limit
% 7.54/1.73 % (1884166)Termination phase: Saturation
% 7.54/1.73 % (1884166)Time elapsed: 0.069 s
% 7.54/1.73 % (1884166)Peak memory usage: 13 MB
% 7.54/1.73 % (1884166)Instructions burned: 117 (million)
% 7.54/1.73 % TRYING [4]
% 7.54/1.73 % (1884178)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1363996678:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.54/1.73 % (1884179)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=346627602:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.54/1.73 % TRYING [4]
% 7.54/1.73 % (1884168)Instruction limit reached!
% 7.54/1.73 % (1884168)------------------------------
% 7.54/1.73 % (1884168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.73 % (1884168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.73 % (1884168)CaDiCaL version: 2.1.3
% 7.54/1.73 % (1884168)Termination reason: Instruction limit
% 7.54/1.73 % (1884168)Termination phase: Saturation
% 7.54/1.73 % (1884168)Time elapsed: 0.099 s
% 7.54/1.73 % (1884168)Peak memory usage: 14 MB
% 7.54/1.73 % (1884168)Instructions burned: 160 (million)
% 7.54/1.73 % (1884182)ott-21_1_sil=16000:fs=off:random_seed=2519472609:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.54/1.73 % (1884178)Instruction limit reached!
% 7.54/1.73 % (1884178)------------------------------
% 7.54/1.73 % (1884178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.73 % (1884178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884178)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884178)Termination reason: Instruction limit
% 7.22/3.53 % (1884178)Termination phase: Saturation
% 7.22/3.53 % (1884178)Time elapsed: 0.073 s
% 7.22/3.53 % (1884178)Peak memory usage: 13 MB
% 7.22/3.53 % (1884178)Instructions burned: 131 (million)
% 7.22/3.53 % (1884176)Instruction limit reached!
% 7.22/3.53 % (1884176)------------------------------
% 7.22/3.53 % (1884176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/3.53 % (1884176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884176)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884176)Termination reason: Instruction limit
% 7.22/3.53 % (1884176)Termination phase: Finite model building constraint generation
% 7.22/3.53 % (1884176)Time elapsed: 0.125 s
% 7.22/3.53 % (1884176)Peak memory usage: 26 MB
% 7.22/3.53 % (1884176)Instructions burned: 714 (million)
% 7.22/3.53 % (1884184)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3691596716:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.22/3.53 % (1884185)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2671111236:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.22/3.53 % TRYING [1]
% 7.22/3.53 % TRYING [2]
% 7.22/3.53 % TRYING [3]
% 7.22/3.53 % (1884182)Instruction limit reached!
% 7.22/3.53 % (1884182)------------------------------
% 7.22/3.53 % (1884182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/3.53 % (1884182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884182)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884182)Termination reason: Instruction limit
% 7.22/3.53 % (1884182)Termination phase: Saturation
% 7.22/3.53 % (1884182)Time elapsed: 0.099 s
% 7.22/3.53 % (1884182)Peak memory usage: 13 MB
% 7.22/3.53 % (1884182)Instructions burned: 182 (million)
% 7.22/3.53 % (1884188)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=25299776:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.22/3.53 % TRYING [4]
% 7.22/3.53 % (1884185)Instruction limit reached!
% 7.22/3.53 % (1884185)------------------------------
% 7.22/3.53 % (1884185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/3.53 % (1884185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884185)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884185)Termination reason: Instruction limit
% 7.22/3.53 % (1884185)Termination phase: Finite model building constraint generation
% 7.22/3.53 % (1884185)Time elapsed: 0.162 s
% 7.22/3.53 % (1884185)Peak memory usage: 28 MB
% 7.22/3.53 % (1884185)Instructions burned: 868 (million)
% 7.22/3.53 % (1884190)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2125924414:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 7.22/3.53 % (1884179)Instruction limit reached!
% 7.22/3.53 % (1884179)------------------------------
% 7.22/3.53 % (1884179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/3.53 % (1884179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884179)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884179)Termination reason: Instruction limit
% 7.22/3.53 % (1884179)Termination phase: Saturation
% 7.22/3.53 % (1884179)Time elapsed: 0.383 s
% 7.22/3.53 % (1884179)Peak memory usage: 20 MB
% 7.22/3.53 % (1884179)Instructions burned: 685 (million)
% 7.22/3.53 % TRYING [5]
% 7.22/3.53 % (1884192)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3943266551:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 7.22/3.53 % (1884184)Instruction limit reached!
% 7.22/3.53 % (1884184)------------------------------
% 7.22/3.53 % (1884184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/3.53 % (1884184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884184)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884184)Termination reason: Instruction limit
% 7.22/3.53 % (1884184)Termination phase: Saturation
% 7.22/3.53 % (1884184)Time elapsed: 0.331 s
% 7.22/3.53 % (1884184)Peak memory usage: 15 MB
% 7.22/3.53 % (1884184)Instructions burned: 478 (million)
% 7.22/3.53 % (1884194)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2055830224:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.22/3.53 % (1884190)Instruction limit reached!
% 7.22/3.53 % (1884190)------------------------------
% 7.22/3.53 % (1884190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/3.53 % (1884190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884190)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884190)Termination reason: Instruction limit
% 7.22/3.53 % (1884190)Termination phase: Finite model building constraint generation
% 7.22/3.53 % (1884190)Time elapsed: 0.242 s
% 7.22/3.53 % (1884190)Peak memory usage: 108 MB
% 7.22/3.53 % (1884190)Instructions burned: 891 (million)
% 7.22/3.53 % (1884196)fmb+10_1_sil=64000:random_seed=3749832032:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 7.22/3.53 % TRYING [1]
% 7.22/3.53 % TRYING [2]
% 7.22/3.53 % TRYING [3]
% 7.22/3.53 % TRYING [4]
% 7.22/3.53 % (1884188)Instruction limit reached!
% 7.22/3.53 % (1884188)------------------------------
% 7.22/3.53 % (1884188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/3.53 % (1884188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884188)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884188)Termination reason: Instruction limit
% 7.22/3.53 % (1884188)Termination phase: Saturation
% 7.22/3.53 % (1884188)Time elapsed: 0.652 s
% 7.22/3.53 % (1884188)Peak memory usage: 24 MB
% 7.22/3.53 % (1884188)Instructions burned: 1180 (million)
% 7.22/3.53 % (1884198)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3687475588:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 7.22/3.53 % (1884198)Cannot represent all propositional literals internally
% 7.22/3.53 % (1884198)Refutation not found, incomplete strategy
% 7.22/3.53 % (1884198)------------------------------
% 7.22/3.53 % (1884198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/3.53 % (1884198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884198)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884198)Termination reason: Refutation not found, incomplete strategy
% 7.22/3.53 % (1884198)Time elapsed: 0.011 s
% 7.22/3.53 % (1884198)Peak memory usage: 11 MB
% 7.22/3.53 % (1884198)Instructions burned: 23 (million)
% 7.22/3.53 % (1884198)------------------------------
% 7.22/3.53 % (1884198)------------------------------
% 7.22/3.53 % (1884192)Instruction limit reached!
% 7.22/3.53 % (1884192)------------------------------
% 7.22/3.53 % (1884192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/3.53 % (1884192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884192)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884192)Termination reason: Instruction limit
% 7.22/3.53 % (1884192)Termination phase: Saturation
% 7.22/3.53 % (1884192)Time elapsed: 0.430 s
% 7.22/3.53 % (1884192)Peak memory usage: 20 MB
% 7.22/3.53 % (1884192)Instructions burned: 693 (million)
% 7.22/3.53 % (1884200)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=820100074:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 7.22/3.53 % (1884201)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1157781010:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 7.22/3.53 % TRYING [8]
% 7.22/3.53 % (1884194)Instruction limit reached!
% 7.22/3.53 % (1884194)------------------------------
% 7.22/3.53 % (1884194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/3.53 % (1884194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884194)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884194)Termination reason: Instruction limit
% 7.22/3.53 % (1884194)Termination phase: Saturation
% 7.22/3.53 % (1884194)Time elapsed: 0.493 s
% 7.22/3.53 % (1884194)Peak memory usage: 19 MB
% 7.22/3.53 % (1884194)Instructions burned: 879 (million)
% 7.22/3.53 % (1884204)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2696034150:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 7.22/3.53 % (1884200)Instruction limit reached!
% 7.22/3.53 % (1884200)------------------------------
% 7.22/3.53 % (1884200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/3.53 % (1884200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884200)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884200)Termination reason: Instruction limit
% 7.22/3.53 % (1884200)Termination phase: Finite model building constraint generation
% 7.22/3.53 % (1884200)Time elapsed: 0.283 s
% 7.22/3.53 % (1884200)Peak memory usage: 49 MB
% 7.22/3.53 % (1884200)Instructions burned: 923 (million)
% 7.22/3.53 % (1884206)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1768858598:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 7.22/3.53 % (1884206)Cannot represent all propositional literals internally
% 7.22/3.53 % (1884206)Refutation not found, incomplete strategy
% 7.22/3.53 % (1884206)------------------------------
% 7.22/3.53 % (1884206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/3.53 % (1884206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884206)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884206)Termination reason: Refutation not found, incomplete strategy
% 7.22/3.53 % (1884206)Time elapsed: 0.013 s
% 7.22/3.53 % (1884206)Peak memory usage: 11 MB
% 7.22/3.53 % (1884206)Instructions burned: 26 (million)
% 7.22/3.53 % (1884206)------------------------------
% 7.22/3.53 % (1884206)------------------------------
% 7.22/3.53 % (1884208)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=550426903:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 7.22/3.53 % TRYING [16]
% 7.22/3.53 % TRYING [5]
% 7.22/3.53 % (1884204)Instruction limit reached!
% 7.22/3.53 % (1884204)------------------------------
% 7.22/3.53 % (1884204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/3.53 % (1884204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884204)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884204)Termination reason: Instruction limit
% 7.22/3.53 % (1884204)Termination phase: Saturation
% 7.22/3.53 % (1884204)Time elapsed: 0.744 s
% 7.22/3.53 % (1884204)Peak memory usage: 27 MB
% 7.22/3.53 % (1884204)Instructions burned: 1474 (million)
% 7.22/3.53 % (1884210)ott-2_1_sil=16000:newcnf=on:random_seed=2959316339:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2981 on theBenchmark for (2981ds/869Mi)
% 7.22/3.53 % (1884208)Instruction limit reached!
% 7.22/3.53 % (1884208)------------------------------
% 7.22/3.53 % (1884208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/3.53 % (1884208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884208)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884208)Termination reason: Instruction limit
% 7.22/3.53 % (1884208)Termination phase: Finite model building constraint generation
% 7.22/3.53 % (1884208)Time elapsed: 0.765 s
% 7.22/3.53 % (1884208)Peak memory usage: 126 MB
% 7.22/3.53 % (1884208)Instructions burned: 2174 (million)
% 7.22/3.53 % (1884212)ott+10_1_sil=32000:tgt=ground:random_seed=3369186455:i=5114:av=off_2978 on theBenchmark for (2978ds/5114Mi)
% 7.22/3.53 % (1884210)Instruction limit reached!
% 7.22/3.53 % (1884210)------------------------------
% 7.22/3.53 % (1884210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/3.53 % (1884210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884210)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884210)Termination reason: Instruction limit
% 7.22/3.53 % (1884210)Termination phase: Saturation
% 7.22/3.53 % (1884210)Time elapsed: 0.487 s
% 7.22/3.53 % (1884210)Peak memory usage: 20 MB
% 7.22/3.53 % (1884210)Instructions burned: 870 (million)
% 7.22/3.53 % (1884214)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2318790211:i=54282_2976 on theBenchmark for (2976ds/54282Mi)
% 7.22/3.53 % TRYING [1]
% 7.22/3.53 % TRYING [2]
% 7.22/3.53 % TRYING [3]
% 7.22/3.53 % TRYING [4]
% 7.22/3.53 % TRYING [5]
% 7.22/3.53 % TRYING [6]
% 7.22/3.53 % (1884212) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1884157-1884212"...
% 7.22/3.53 % (1884212)...printing done.
% 7.22/3.53 % (1884212)Refutation found. Thanks to Tanya!
% 7.22/3.53 % SZS status Theorem for theBenchmark
% 7.22/3.53 % SZS output start Proof for theBenchmark
% See solution above
% 7.22/3.53 % (1884212)------------------------------
% 7.22/3.53 % (1884212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.22/3.53 % (1884212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.22/3.53 % (1884212)CaDiCaL version: 2.1.3
% 7.22/3.53 % (1884212)Termination reason: Refutation
% 7.22/3.53 % (1884212)Time elapsed: 0.917 s
% 7.22/3.53 % (1884212)Peak memory usage: 26 MB
% 7.22/3.53 % (1884212)Instructions burned: 1703 (million)
% 7.22/3.53 % (1884157)Success in time 3.092 s
% 7.22/3.53 % Vampire exiting
%------------------------------------------------------------------------------