%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU343+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 : n012.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 12:52:56 PM UTC 2026
% Result : Theorem 11.98s 4.04s
% Output : Refutation 11.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 21
% Syntax : Number of formulae : 178 ( 30 unt; 7 def)
% Number of atoms : 529 ( 107 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 555 ( 204 ~; 288 |; 33 &)
% ( 11 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 8 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 3 con; 0-6 aty)
% Number of variables : 229 ( 0 sgn 226 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,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(f11,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& join_semilatt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> join(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_join(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_lattices) ).
fof(f12,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& meet_semilatt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> meet(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_meet(X0),X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lattices) ).
fof(f17,axiom,
! [X0] :
( strict_latt_str(boole_lattice(X0))
& latt_str(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice3) ).
fof(f34,axiom,
! [X0] :
( latt_str(X0)
=> ( meet_semilatt_str(X0)
& join_semilatt_str(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f38,axiom,
! [X0] :
( meet_semilatt_str(X0)
=> ( function(the_L_meet(X0))
& quasi_total(the_L_meet(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0))
& relation_of2_as_subset(the_L_meet(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f40,axiom,
! [X0] :
( join_semilatt_str(X0)
=> ( function(the_L_join(X0))
& quasi_total(the_L_join(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0))
& relation_of2_as_subset(the_L_join(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f48,axiom,
! [X0] :
( ~ empty_carrier(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice3) ).
fof(f50,axiom,
! [X0] : ~ empty(powerset(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f71,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ~ empty(X0)
& ~ empty(X1)
& function(X3)
& quasi_total(X3,cartesian_product2(X0,X1),X2)
& relation_of2(X3,cartesian_product2(X0,X1),X2)
& element(X4,X0)
& element(X5,X1) )
=> apply_binary_as_element(X0,X1,X2,X3,X4,X5) = apply_binary(X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_binop_1) ).
fof(f72,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X0))
& element(X2,powerset(X0)) )
=> subset_union2(X0,X1,X2) = set_union2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
fof(f73,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X0))
& element(X2,powerset(X0)) )
=> subset_intersection2(X0,X1,X2) = set_intersection2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f74,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f77,conjecture,
! [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(f78,negated_conjecture,
~ ! [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) ) ) ),
inference(negated_conjecture,[status(cth)],[f77]) ).
fof(f102,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,[],[f10]) ).
fof(f103,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,[],[f102]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( join(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_join(X0),X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ join_semilatt_str(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( join(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_join(X0),X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ join_semilatt_str(X0) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( meet(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_meet(X0),X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( meet(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_meet(X0),X1,X2)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(flattening,[],[f106]) ).
fof(f122,plain,
! [X0] :
( ( meet_semilatt_str(X0)
& join_semilatt_str(X0) )
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f124,plain,
! [X0] :
( ( function(the_L_meet(X0))
& quasi_total(the_L_meet(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0))
& relation_of2_as_subset(the_L_meet(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0)) )
| ~ meet_semilatt_str(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f125,plain,
! [X0] :
( ( function(the_L_join(X0))
& quasi_total(the_L_join(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0))
& relation_of2_as_subset(the_L_join(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0)) )
| ~ join_semilatt_str(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4,X5] :
( apply_binary_as_element(X0,X1,X2,X3,X4,X5) = apply_binary(X3,X4,X5)
| empty(X0)
| empty(X1)
| ~ function(X3)
| ~ quasi_total(X3,cartesian_product2(X0,X1),X2)
| ~ relation_of2(X3,cartesian_product2(X0,X1),X2)
| ~ element(X4,X0)
| ~ element(X5,X1) ),
inference(ennf_transformation,[],[f71]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4,X5] :
( apply_binary_as_element(X0,X1,X2,X3,X4,X5) = apply_binary(X3,X4,X5)
| empty(X0)
| empty(X1)
| ~ function(X3)
| ~ quasi_total(X3,cartesian_product2(X0,X1),X2)
| ~ relation_of2(X3,cartesian_product2(X0,X1),X2)
| ~ element(X4,X0)
| ~ element(X5,X1) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0,X1,X2] :
( subset_union2(X0,X1,X2) = set_union2(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(ennf_transformation,[],[f72]) ).
fof(f146,plain,
! [X0,X1,X2] :
( subset_union2(X0,X1,X2) = set_union2(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(flattening,[],[f145]) ).
fof(f147,plain,
! [X0,X1,X2] :
( subset_intersection2(X0,X1,X2) = set_intersection2(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(ennf_transformation,[],[f73]) ).
fof(f148,plain,
! [X0,X1,X2] :
( subset_intersection2(X0,X1,X2) = set_intersection2(X1,X2)
| ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0)) ),
inference(flattening,[],[f147]) ).
fof(f149,plain,
? [X0,X1] :
( ? [X2] :
( ( set_union2(X1,X2) != join(boole_lattice(X0),X1,X2)
| set_intersection2(X1,X2) != meet(boole_lattice(X0),X1,X2) )
& element(X2,the_carrier(boole_lattice(X0))) )
& element(X1,the_carrier(boole_lattice(X0))) ),
inference(ennf_transformation,[],[f78]) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( ~ latt_str(X1)
| ~ strict_latt_str(X1)
| ~ element(X2,powerset(X0))
| ~ element(X3,powerset(X0))
| apply_binary(the_L_meet(X1),X2,X3) = subset_intersection2(X0,X2,X3)
| boole_lattice(X0) != X1 ),
inference(cnf_transformation,[],[f103]) ).
fof(f171,plain,
! [X2,X3,X0,X1] :
( ~ latt_str(X1)
| ~ strict_latt_str(X1)
| ~ element(X2,powerset(X0))
| ~ element(X3,powerset(X0))
| apply_binary(the_L_join(X1),X2,X3) = subset_union2(X0,X2,X3)
| boole_lattice(X0) != X1 ),
inference(cnf_transformation,[],[f103]) ).
fof(f174,plain,
! [X0,X1] :
( ~ latt_str(X1)
| ~ strict_latt_str(X1)
| powerset(X0) = the_carrier(X1)
| boole_lattice(X0) != X1 ),
inference(cnf_transformation,[],[f103]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ join_semilatt_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| join(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_join(X0),X1,X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ meet_semilatt_str(X0)
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| meet(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_meet(X0),X1,X2) ),
inference(cnf_transformation,[],[f107]) ).
fof(f180,plain,
! [X0] : latt_str(boole_lattice(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f181,plain,
! [X0] : strict_latt_str(boole_lattice(X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f189,plain,
! [X0] :
( ~ latt_str(X0)
| join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f190,plain,
! [X0] :
( ~ latt_str(X0)
| meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f192,plain,
! [X0] :
( relation_of2_as_subset(the_L_meet(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0))
| ~ meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f193,plain,
! [X0] :
( ~ meet_semilatt_str(X0)
| quasi_total(the_L_meet(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f194,plain,
! [X0] :
( ~ meet_semilatt_str(X0)
| function(the_L_meet(X0)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f195,plain,
! [X0] :
( ~ join_semilatt_str(X0)
| relation_of2_as_subset(the_L_join(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f196,plain,
! [X0] :
( ~ join_semilatt_str(X0)
| quasi_total(the_L_join(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f197,plain,
! [X0] :
( ~ join_semilatt_str(X0)
| function(the_L_join(X0)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f206,plain,
! [X0] : ~ empty_carrier(boole_lattice(X0)),
inference(cnf_transformation,[],[f48]) ).
fof(f208,plain,
! [X0] : ~ empty(powerset(X0)),
inference(cnf_transformation,[],[f50]) ).
fof(f239,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ element(X5,X1)
| ~ element(X4,X0)
| ~ relation_of2(X3,cartesian_product2(X0,X1),X2)
| ~ quasi_total(X3,cartesian_product2(X0,X1),X2)
| ~ function(X3)
| empty(X1)
| empty(X0)
| apply_binary_as_element(X0,X1,X2,X3,X4,X5) = apply_binary(X3,X4,X5) ),
inference(cnf_transformation,[],[f144]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0))
| subset_union2(X0,X1,X2) = set_union2(X1,X2) ),
inference(cnf_transformation,[],[f146]) ).
fof(f241,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X0))
| ~ element(X2,powerset(X0))
| subset_intersection2(X0,X1,X2) = set_intersection2(X1,X2) ),
inference(cnf_transformation,[],[f148]) ).
fof(f243,plain,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f246,plain,
( set_intersection2(sK18,sK19) != meet(boole_lattice(sK17),sK18,sK19)
| set_union2(sK18,sK19) != join(boole_lattice(sK17),sK18,sK19) ),
inference(cnf_transformation,[],[f149]) ).
fof(f247,plain,
element(sK19,the_carrier(boole_lattice(sK17))),
inference(cnf_transformation,[],[f149]) ).
fof(f248,plain,
element(sK18,the_carrier(boole_lattice(sK17))),
inference(cnf_transformation,[],[f149]) ).
fof(f259,plain,
! [X0] :
( ~ latt_str(boole_lattice(X0))
| ~ strict_latt_str(boole_lattice(X0))
| powerset(X0) = the_carrier(boole_lattice(X0)) ),
inference(equality_resolution,[],[f174]) ).
fof(f260,plain,
! [X2,X3,X0] :
( ~ latt_str(boole_lattice(X0))
| ~ strict_latt_str(boole_lattice(X0))
| ~ element(X2,powerset(X0))
| ~ element(X3,powerset(X0))
| subset_union2(X0,X2,X3) = apply_binary(the_L_join(boole_lattice(X0)),X2,X3) ),
inference(equality_resolution,[],[f171]) ).
fof(f261,plain,
! [X2,X3,X0] :
( ~ latt_str(boole_lattice(X0))
| ~ strict_latt_str(boole_lattice(X0))
| ~ element(X2,powerset(X0))
| ~ element(X3,powerset(X0))
| subset_intersection2(X0,X2,X3) = apply_binary(the_L_meet(boole_lattice(X0)),X2,X3) ),
inference(equality_resolution,[],[f170]) ).
fof(f266,plain,
! [X0] :
( latt_str(boole_lattice(X0))
| strict_latt_str(boole_lattice(X0))
| powerset(X0) = the_carrier(boole_lattice(X0)) ),
inference(consistent_polarity_flipping,[],[f259]) ).
fof(f269,plain,
! [X2,X3,X0] :
( latt_str(boole_lattice(X0))
| strict_latt_str(boole_lattice(X0))
| ~ element(X2,powerset(X0))
| ~ element(X3,powerset(X0))
| subset_union2(X0,X2,X3) = apply_binary(the_L_join(boole_lattice(X0)),X2,X3) ),
inference(consistent_polarity_flipping,[],[f260]) ).
fof(f270,plain,
! [X2,X3,X0] :
( latt_str(boole_lattice(X0))
| strict_latt_str(boole_lattice(X0))
| ~ element(X2,powerset(X0))
| ~ element(X3,powerset(X0))
| subset_intersection2(X0,X2,X3) = apply_binary(the_L_meet(boole_lattice(X0)),X2,X3) ),
inference(consistent_polarity_flipping,[],[f261]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ element(X1,the_carrier(X0))
| join_semilatt_str(X0)
| join(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_join(X0),X1,X2) ),
inference(consistent_polarity_flipping,[],[f175]) ).
fof(f275,plain,
! [X0] : ~ strict_latt_str(boole_lattice(X0)),
inference(consistent_polarity_flipping,[],[f181]) ).
fof(f276,plain,
! [X0] : ~ latt_str(boole_lattice(X0)),
inference(consistent_polarity_flipping,[],[f180]) ).
fof(f281,plain,
! [X0] :
( meet_semilatt_str(X0)
| latt_str(X0) ),
inference(consistent_polarity_flipping,[],[f190]) ).
fof(f282,plain,
! [X0] :
( ~ join_semilatt_str(X0)
| latt_str(X0) ),
inference(consistent_polarity_flipping,[],[f189]) ).
fof(f283,plain,
! [X0] :
( ~ function(the_L_meet(X0))
| ~ meet_semilatt_str(X0) ),
inference(consistent_polarity_flipping,[],[f194]) ).
fof(f284,plain,
! [X0] :
( ~ quasi_total(the_L_meet(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0))
| ~ meet_semilatt_str(X0) ),
inference(consistent_polarity_flipping,[],[f193]) ).
fof(f285,plain,
! [X0] :
( ~ function(the_L_join(X0))
| join_semilatt_str(X0) ),
inference(consistent_polarity_flipping,[],[f197]) ).
fof(f286,plain,
! [X0] :
( ~ quasi_total(the_L_join(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0))
| join_semilatt_str(X0) ),
inference(consistent_polarity_flipping,[],[f196]) ).
fof(f287,plain,
! [X0] :
( relation_of2_as_subset(the_L_join(X0),cartesian_product2(the_carrier(X0),the_carrier(X0)),the_carrier(X0))
| join_semilatt_str(X0) ),
inference(consistent_polarity_flipping,[],[f195]) ).
fof(f306,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ element(X4,X0)
| ~ element(X5,X1)
| relation_of2(X3,cartesian_product2(X0,X1),X2)
| quasi_total(X3,cartesian_product2(X0,X1),X2)
| function(X3)
| empty(X1)
| empty(X0)
| apply_binary_as_element(X0,X1,X2,X3,X4,X5) = apply_binary(X3,X4,X5) ),
inference(consistent_polarity_flipping,[],[f239]) ).
fof(f307,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f243]) ).
fof(f315,definition,
( spl20_1
<=> set_union2(sK18,sK19) = join(boole_lattice(sK17),sK18,sK19) ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
fof(f317,plain,
( set_union2(sK18,sK19) != join(boole_lattice(sK17),sK18,sK19)
| spl20_1 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f319,definition,
( spl20_2
<=> set_intersection2(sK18,sK19) = meet(boole_lattice(sK17),sK18,sK19) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
fof(f322,plain,
( ~ spl20_1
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f246,f319,f315]) ).
fof(f391,plain,
! [X0] :
( strict_latt_str(boole_lattice(X0))
| powerset(X0) = the_carrier(boole_lattice(X0)) ),
inference(forward_subsumption_resolution,[],[f266,f276]) ).
fof(f392,plain,
! [X0] : powerset(X0) = the_carrier(boole_lattice(X0)),
inference(forward_subsumption_resolution,[],[f391,f275]) ).
fof(f393,plain,
element(sK18,powerset(sK17)),
inference(superposition,[],[f248,f392]) ).
fof(f394,plain,
element(sK19,powerset(sK17)),
inference(superposition,[],[f247,f392]) ).
fof(f395,plain,
! [X0] :
( relation_of2_as_subset(the_L_meet(boole_lattice(X0)),cartesian_product2(powerset(X0),powerset(X0)),powerset(X0))
| ~ meet_semilatt_str(boole_lattice(X0)) ),
inference(superposition,[],[f192,f392]) ).
fof(f410,plain,
! [X0] :
( ~ quasi_total(the_L_meet(boole_lattice(X0)),cartesian_product2(powerset(X0),powerset(X0)),powerset(X0))
| ~ meet_semilatt_str(boole_lattice(X0)) ),
inference(superposition,[],[f284,f392]) ).
fof(f411,plain,
! [X0] :
( ~ quasi_total(the_L_join(boole_lattice(X0)),cartesian_product2(powerset(X0),powerset(X0)),powerset(X0))
| join_semilatt_str(boole_lattice(X0)) ),
inference(superposition,[],[f286,f392]) ).
fof(f422,plain,
! [X0] :
( relation_of2_as_subset(the_L_join(boole_lattice(X0)),cartesian_product2(powerset(X0),powerset(X0)),powerset(X0))
| join_semilatt_str(boole_lattice(X0)) ),
inference(superposition,[],[f287,f392]) ).
fof(f525,plain,
! [X0] :
( ~ element(X0,powerset(sK17))
| subset_intersection2(sK17,sK18,X0) = set_intersection2(sK18,X0) ),
inference(resolution,[],[f393,f241]) ).
fof(f526,plain,
! [X0] :
( ~ element(X0,powerset(sK17))
| subset_union2(sK17,sK18,X0) = set_union2(sK18,X0) ),
inference(resolution,[],[f393,f240]) ).
fof(f595,plain,
! [X2,X3,X0] :
( strict_latt_str(boole_lattice(X0))
| ~ element(X2,powerset(X0))
| ~ element(X3,powerset(X0))
| subset_union2(X0,X2,X3) = apply_binary(the_L_join(boole_lattice(X0)),X2,X3) ),
inference(forward_subsumption_resolution,[],[f269,f276]) ).
fof(f596,plain,
! [X2,X3,X0] :
( ~ element(X3,powerset(X0))
| ~ element(X2,powerset(X0))
| subset_union2(X0,X2,X3) = apply_binary(the_L_join(boole_lattice(X0)),X2,X3) ),
inference(forward_subsumption_resolution,[],[f595,f275]) ).
fof(f606,plain,
! [X0] :
( ~ element(X0,powerset(sK17))
| subset_union2(sK17,X0,sK19) = apply_binary(the_L_join(boole_lattice(sK17)),X0,sK19) ),
inference(resolution,[],[f596,f394]) ).
fof(f610,plain,
! [X2,X3,X0] :
( strict_latt_str(boole_lattice(X0))
| ~ element(X2,powerset(X0))
| ~ element(X3,powerset(X0))
| subset_intersection2(X0,X2,X3) = apply_binary(the_L_meet(boole_lattice(X0)),X2,X3) ),
inference(forward_subsumption_resolution,[],[f270,f276]) ).
fof(f611,plain,
! [X2,X3,X0] :
( ~ element(X3,powerset(X0))
| ~ element(X2,powerset(X0))
| subset_intersection2(X0,X2,X3) = apply_binary(the_L_meet(boole_lattice(X0)),X2,X3) ),
inference(forward_subsumption_resolution,[],[f610,f275]) ).
fof(f621,plain,
! [X0] :
( ~ element(X0,powerset(sK17))
| subset_intersection2(sK17,X0,sK19) = apply_binary(the_L_meet(boole_lattice(sK17)),X0,sK19) ),
inference(resolution,[],[f611,f394]) ).
fof(f626,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| meet(X0,X1,X2) = apply_binary_as_element(the_carrier(X0),the_carrier(X0),the_carrier(X0),the_L_meet(X0),X1,X2)
| latt_str(X0) ),
inference(resolution,[],[f176,f281]) ).
fof(f635,plain,
! [X0] :
( empty_carrier(boole_lattice(sK17))
| ~ element(X0,the_carrier(boole_lattice(sK17)))
| join_semilatt_str(boole_lattice(sK17))
| join(boole_lattice(sK17),X0,sK19) = apply_binary_as_element(the_carrier(boole_lattice(sK17)),the_carrier(boole_lattice(sK17)),the_carrier(boole_lattice(sK17)),the_L_join(boole_lattice(sK17)),X0,sK19) ),
inference(resolution,[],[f272,f247]) ).
fof(f645,plain,
! [X0] :
( ~ element(X0,the_carrier(boole_lattice(sK17)))
| join_semilatt_str(boole_lattice(sK17))
| join(boole_lattice(sK17),X0,sK19) = apply_binary_as_element(the_carrier(boole_lattice(sK17)),the_carrier(boole_lattice(sK17)),the_carrier(boole_lattice(sK17)),the_L_join(boole_lattice(sK17)),X0,sK19) ),
inference(forward_subsumption_resolution,[],[f635,f206]) ).
fof(f647,plain,
! [X0] :
( ~ element(X0,powerset(sK17))
| join_semilatt_str(boole_lattice(sK17))
| join(boole_lattice(sK17),X0,sK19) = apply_binary_as_element(the_carrier(boole_lattice(sK17)),the_carrier(boole_lattice(sK17)),the_carrier(boole_lattice(sK17)),the_L_join(boole_lattice(sK17)),X0,sK19) ),
inference(forward_demodulation,[],[f645,f392]) ).
fof(f651,definition,
( spl20_15
<=> join_semilatt_str(boole_lattice(sK17)) ),
introduced(definition,[new_symbols(definition,[spl20_15])],[avatar_definition]) ).
fof(f652,plain,
( ~ join_semilatt_str(boole_lattice(sK17))
| spl20_15 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f653,plain,
( join_semilatt_str(boole_lattice(sK17))
| ~ spl20_15 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f664,plain,
( latt_str(boole_lattice(sK17))
| ~ spl20_15 ),
inference(resolution,[],[f653,f282]) ).
fof(f665,plain,
( $false
| ~ spl20_15 ),
inference(forward_subsumption_resolution,[],[f664,f276]) ).
fof(f666,plain,
~ spl20_15,
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f667,plain,
! [X0] :
( join(boole_lattice(sK17),X0,sK19) = apply_binary_as_element(powerset(sK17),powerset(sK17),powerset(sK17),the_L_join(boole_lattice(sK17)),X0,sK19)
| ~ element(X0,powerset(sK17))
| join_semilatt_str(boole_lattice(sK17)) ),
inference(forward_demodulation,[],[f647,f392]) ).
fof(f669,definition,
( spl20_18
<=> ! [X0] :
( join(boole_lattice(sK17),X0,sK19) = apply_binary_as_element(powerset(sK17),powerset(sK17),powerset(sK17),the_L_join(boole_lattice(sK17)),X0,sK19)
| ~ element(X0,powerset(sK17)) ) ),
introduced(definition,[new_symbols(definition,[spl20_18])],[avatar_definition]) ).
fof(f670,plain,
( ! [X0] :
( ~ element(X0,powerset(sK17))
| join(boole_lattice(sK17),X0,sK19) = apply_binary_as_element(powerset(sK17),powerset(sK17),powerset(sK17),the_L_join(boole_lattice(sK17)),X0,sK19) )
| ~ spl20_18 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f671,plain,
( spl20_15
| spl20_18 ),
inference(avatar_split_clause,[],[f667,f669,f651]) ).
fof(f694,plain,
! [X2,X3,X0,X1] :
( ~ element(X0,X1)
| relation_of2(X2,cartesian_product2(the_carrier(boole_lattice(sK17)),X1),X3)
| quasi_total(X2,cartesian_product2(the_carrier(boole_lattice(sK17)),X1),X3)
| function(X2)
| empty(X1)
| empty(the_carrier(boole_lattice(sK17)))
| apply_binary_as_element(the_carrier(boole_lattice(sK17)),X1,X3,X2,sK18,X0) = apply_binary(X2,sK18,X0) ),
inference(resolution,[],[f306,f248]) ).
fof(f717,plain,
! [X2,X3,X0,X1] :
( relation_of2(X2,cartesian_product2(powerset(sK17),X1),X3)
| ~ element(X0,X1)
| quasi_total(X2,cartesian_product2(the_carrier(boole_lattice(sK17)),X1),X3)
| function(X2)
| empty(X1)
| empty(the_carrier(boole_lattice(sK17)))
| apply_binary_as_element(the_carrier(boole_lattice(sK17)),X1,X3,X2,sK18,X0) = apply_binary(X2,sK18,X0) ),
inference(forward_demodulation,[],[f694,f392]) ).
fof(f720,plain,
! [X2,X3,X0,X1] :
( quasi_total(X2,cartesian_product2(powerset(sK17),X1),X3)
| relation_of2(X2,cartesian_product2(powerset(sK17),X1),X3)
| ~ element(X0,X1)
| function(X2)
| empty(X1)
| empty(the_carrier(boole_lattice(sK17)))
| apply_binary_as_element(the_carrier(boole_lattice(sK17)),X1,X3,X2,sK18,X0) = apply_binary(X2,sK18,X0) ),
inference(forward_demodulation,[],[f717,f392]) ).
fof(f722,plain,
! [X2,X3,X0,X1] :
( empty(powerset(sK17))
| quasi_total(X2,cartesian_product2(powerset(sK17),X1),X3)
| relation_of2(X2,cartesian_product2(powerset(sK17),X1),X3)
| ~ element(X0,X1)
| function(X2)
| empty(X1)
| apply_binary_as_element(the_carrier(boole_lattice(sK17)),X1,X3,X2,sK18,X0) = apply_binary(X2,sK18,X0) ),
inference(forward_demodulation,[],[f720,f392]) ).
fof(f724,plain,
! [X2,X3,X0,X1] :
( quasi_total(X2,cartesian_product2(powerset(sK17),X1),X3)
| relation_of2(X2,cartesian_product2(powerset(sK17),X1),X3)
| ~ element(X0,X1)
| function(X2)
| empty(X1)
| apply_binary_as_element(the_carrier(boole_lattice(sK17)),X1,X3,X2,sK18,X0) = apply_binary(X2,sK18,X0) ),
inference(forward_subsumption_resolution,[],[f722,f208]) ).
fof(f726,plain,
! [X2,X3,X0,X1] :
( ~ element(X0,X1)
| quasi_total(X2,cartesian_product2(powerset(sK17),X1),X3)
| relation_of2(X2,cartesian_product2(powerset(sK17),X1),X3)
| apply_binary(X2,sK18,X0) = apply_binary_as_element(powerset(sK17),X1,X3,X2,sK18,X0)
| function(X2)
| empty(X1) ),
inference(forward_demodulation,[],[f724,f392]) ).
fof(f769,plain,
( join(boole_lattice(sK17),sK18,sK19) = apply_binary_as_element(powerset(sK17),powerset(sK17),powerset(sK17),the_L_join(boole_lattice(sK17)),sK18,sK19)
| ~ spl20_18 ),
inference(resolution,[],[f670,f393]) ).
fof(f795,plain,
! [X0,X1] :
( quasi_total(X0,cartesian_product2(powerset(sK17),powerset(sK17)),X1)
| relation_of2(X0,cartesian_product2(powerset(sK17),powerset(sK17)),X1)
| apply_binary(X0,sK18,sK19) = apply_binary_as_element(powerset(sK17),powerset(sK17),X1,X0,sK18,sK19)
| function(X0)
| empty(powerset(sK17)) ),
inference(resolution,[],[f726,f394]) ).
fof(f796,plain,
! [X0,X1] :
( quasi_total(X0,cartesian_product2(powerset(sK17),powerset(sK17)),X1)
| relation_of2(X0,cartesian_product2(powerset(sK17),powerset(sK17)),X1)
| apply_binary(X0,sK18,sK19) = apply_binary_as_element(powerset(sK17),powerset(sK17),X1,X0,sK18,sK19)
| function(X0) ),
inference(forward_subsumption_resolution,[],[f795,f208]) ).
fof(f2232,plain,
! [X0] :
( ~ element(X0,the_carrier(boole_lattice(sK17)))
| empty_carrier(boole_lattice(sK17))
| meet(boole_lattice(sK17),X0,sK19) = apply_binary_as_element(the_carrier(boole_lattice(sK17)),the_carrier(boole_lattice(sK17)),the_carrier(boole_lattice(sK17)),the_L_meet(boole_lattice(sK17)),X0,sK19)
| latt_str(boole_lattice(sK17)) ),
inference(resolution,[],[f626,f247]) ).
fof(f2246,plain,
! [X0] :
( ~ element(X0,the_carrier(boole_lattice(sK17)))
| meet(boole_lattice(sK17),X0,sK19) = apply_binary_as_element(the_carrier(boole_lattice(sK17)),the_carrier(boole_lattice(sK17)),the_carrier(boole_lattice(sK17)),the_L_meet(boole_lattice(sK17)),X0,sK19)
| latt_str(boole_lattice(sK17)) ),
inference(forward_subsumption_resolution,[],[f2232,f206]) ).
fof(f2249,plain,
! [X0] :
( ~ element(X0,the_carrier(boole_lattice(sK17)))
| meet(boole_lattice(sK17),X0,sK19) = apply_binary_as_element(the_carrier(boole_lattice(sK17)),the_carrier(boole_lattice(sK17)),the_carrier(boole_lattice(sK17)),the_L_meet(boole_lattice(sK17)),X0,sK19) ),
inference(forward_subsumption_resolution,[],[f2246,f276]) ).
fof(f2251,plain,
! [X0] :
( ~ element(X0,powerset(sK17))
| meet(boole_lattice(sK17),X0,sK19) = apply_binary_as_element(the_carrier(boole_lattice(sK17)),the_carrier(boole_lattice(sK17)),the_carrier(boole_lattice(sK17)),the_L_meet(boole_lattice(sK17)),X0,sK19) ),
inference(forward_demodulation,[],[f2249,f392]) ).
fof(f3771,definition,
( spl20_97
<=> relation_of2(the_L_join(boole_lattice(sK17)),cartesian_product2(powerset(sK17),powerset(sK17)),powerset(sK17)) ),
introduced(definition,[new_symbols(definition,[spl20_97])],[avatar_definition]) ).
fof(f3772,plain,
( ~ relation_of2(the_L_join(boole_lattice(sK17)),cartesian_product2(powerset(sK17),powerset(sK17)),powerset(sK17))
| spl20_97 ),
inference(avatar_component_clause,[],[f3771]) ).
fof(f3773,plain,
( relation_of2(the_L_join(boole_lattice(sK17)),cartesian_product2(powerset(sK17),powerset(sK17)),powerset(sK17))
| ~ spl20_97 ),
inference(avatar_component_clause,[],[f3771]) ).
fof(f4631,definition,
( spl20_110
<=> meet_semilatt_str(boole_lattice(sK17)) ),
introduced(definition,[new_symbols(definition,[spl20_110])],[avatar_definition]) ).
fof(f4632,plain,
( meet_semilatt_str(boole_lattice(sK17))
| ~ spl20_110 ),
inference(avatar_component_clause,[],[f4631]) ).
fof(f4633,plain,
( ~ meet_semilatt_str(boole_lattice(sK17))
| spl20_110 ),
inference(avatar_component_clause,[],[f4631]) ).
fof(f4635,definition,
( spl20_111
<=> relation_of2(the_L_meet(boole_lattice(sK17)),cartesian_product2(powerset(sK17),powerset(sK17)),powerset(sK17)) ),
introduced(definition,[new_symbols(definition,[spl20_111])],[avatar_definition]) ).
fof(f4636,plain,
( ~ relation_of2(the_L_meet(boole_lattice(sK17)),cartesian_product2(powerset(sK17),powerset(sK17)),powerset(sK17))
| spl20_111 ),
inference(avatar_component_clause,[],[f4635]) ).
fof(f4637,plain,
( relation_of2(the_L_meet(boole_lattice(sK17)),cartesian_product2(powerset(sK17),powerset(sK17)),powerset(sK17))
| ~ spl20_111 ),
inference(avatar_component_clause,[],[f4635]) ).
fof(f4658,plain,
( latt_str(boole_lattice(sK17))
| spl20_110 ),
inference(resolution,[],[f4633,f281]) ).
fof(f4659,plain,
( $false
| spl20_110 ),
inference(forward_subsumption_resolution,[],[f4658,f276]) ).
fof(f4660,plain,
spl20_110,
inference(avatar_contradiction_clause,[],[f4659]) ).
fof(f4702,plain,
( ~ relation_of2_as_subset(the_L_meet(boole_lattice(sK17)),cartesian_product2(powerset(sK17),powerset(sK17)),powerset(sK17))
| ~ spl20_111 ),
inference(resolution,[],[f4637,f307]) ).
fof(f4709,plain,
( ~ meet_semilatt_str(boole_lattice(sK17))
| ~ spl20_111 ),
inference(resolution,[],[f4702,f395]) ).
fof(f4711,plain,
( $false
| ~ spl20_110
| ~ spl20_111 ),
inference(forward_subsumption_resolution,[],[f4709,f4632]) ).
fof(f4712,plain,
( ~ spl20_110
| ~ spl20_111 ),
inference(avatar_contradiction_clause,[],[f4711]) ).
fof(f5119,plain,
set_intersection2(sK18,sK19) = subset_intersection2(sK17,sK18,sK19),
inference(resolution,[],[f525,f394]) ).
fof(f5433,plain,
set_union2(sK18,sK19) = subset_union2(sK17,sK18,sK19),
inference(resolution,[],[f526,f394]) ).
fof(f23761,plain,
( ~ relation_of2_as_subset(the_L_join(boole_lattice(sK17)),cartesian_product2(powerset(sK17),powerset(sK17)),powerset(sK17))
| ~ spl20_97 ),
inference(resolution,[],[f3773,f307]) ).
fof(f25830,plain,
( join_semilatt_str(boole_lattice(sK17))
| ~ spl20_97 ),
inference(resolution,[],[f23761,f422]) ).
fof(f25832,plain,
( $false
| spl20_15
| ~ spl20_97 ),
inference(forward_subsumption_resolution,[],[f25830,f652]) ).
fof(f25833,plain,
( spl20_15
| ~ spl20_97 ),
inference(avatar_contradiction_clause,[],[f25832]) ).
fof(f60389,plain,
! [X0] :
( ~ element(X0,powerset(sK17))
| meet(boole_lattice(sK17),X0,sK19) = apply_binary_as_element(powerset(sK17),powerset(sK17),powerset(sK17),the_L_meet(boole_lattice(sK17)),X0,sK19) ),
inference(forward_demodulation,[],[f2251,f392]) ).
fof(f62297,plain,
subset_union2(sK17,sK18,sK19) = apply_binary(the_L_join(boole_lattice(sK17)),sK18,sK19),
inference(resolution,[],[f606,f393]) ).
fof(f62356,plain,
subset_intersection2(sK17,sK18,sK19) = apply_binary(the_L_meet(boole_lattice(sK17)),sK18,sK19),
inference(resolution,[],[f621,f393]) ).
fof(f67520,plain,
meet(boole_lattice(sK17),sK18,sK19) = apply_binary_as_element(powerset(sK17),powerset(sK17),powerset(sK17),the_L_meet(boole_lattice(sK17)),sK18,sK19),
inference(resolution,[],[f60389,f393]) ).
fof(f70518,plain,
( relation_of2(the_L_meet(boole_lattice(sK17)),cartesian_product2(powerset(sK17),powerset(sK17)),powerset(sK17))
| apply_binary(the_L_meet(boole_lattice(sK17)),sK18,sK19) = apply_binary_as_element(powerset(sK17),powerset(sK17),powerset(sK17),the_L_meet(boole_lattice(sK17)),sK18,sK19)
| function(the_L_meet(boole_lattice(sK17)))
| ~ meet_semilatt_str(boole_lattice(sK17)) ),
inference(resolution,[],[f796,f410]) ).
fof(f70519,plain,
( relation_of2(the_L_join(boole_lattice(sK17)),cartesian_product2(powerset(sK17),powerset(sK17)),powerset(sK17))
| apply_binary_as_element(powerset(sK17),powerset(sK17),powerset(sK17),the_L_join(boole_lattice(sK17)),sK18,sK19) = apply_binary(the_L_join(boole_lattice(sK17)),sK18,sK19)
| function(the_L_join(boole_lattice(sK17)))
| join_semilatt_str(boole_lattice(sK17)) ),
inference(resolution,[],[f796,f411]) ).
fof(f70522,plain,
( apply_binary_as_element(powerset(sK17),powerset(sK17),powerset(sK17),the_L_join(boole_lattice(sK17)),sK18,sK19) = apply_binary(the_L_join(boole_lattice(sK17)),sK18,sK19)
| function(the_L_join(boole_lattice(sK17)))
| join_semilatt_str(boole_lattice(sK17))
| spl20_97 ),
inference(forward_subsumption_resolution,[],[f70519,f3772]) ).
fof(f70523,plain,
( apply_binary(the_L_meet(boole_lattice(sK17)),sK18,sK19) = apply_binary_as_element(powerset(sK17),powerset(sK17),powerset(sK17),the_L_meet(boole_lattice(sK17)),sK18,sK19)
| function(the_L_meet(boole_lattice(sK17)))
| ~ meet_semilatt_str(boole_lattice(sK17))
| spl20_111 ),
inference(forward_subsumption_resolution,[],[f70518,f4636]) ).
fof(f70525,plain,
( apply_binary_as_element(powerset(sK17),powerset(sK17),powerset(sK17),the_L_join(boole_lattice(sK17)),sK18,sK19) = apply_binary(the_L_join(boole_lattice(sK17)),sK18,sK19)
| join_semilatt_str(boole_lattice(sK17))
| spl20_97 ),
inference(forward_subsumption_resolution,[],[f70522,f285]) ).
fof(f70526,plain,
( apply_binary(the_L_meet(boole_lattice(sK17)),sK18,sK19) = apply_binary_as_element(powerset(sK17),powerset(sK17),powerset(sK17),the_L_meet(boole_lattice(sK17)),sK18,sK19)
| ~ meet_semilatt_str(boole_lattice(sK17))
| spl20_111 ),
inference(forward_subsumption_resolution,[],[f70523,f283]) ).
fof(f70528,plain,
( apply_binary_as_element(powerset(sK17),powerset(sK17),powerset(sK17),the_L_join(boole_lattice(sK17)),sK18,sK19) = apply_binary(the_L_join(boole_lattice(sK17)),sK18,sK19)
| spl20_15
| spl20_97 ),
inference(forward_subsumption_resolution,[],[f70525,f652]) ).
fof(f70529,plain,
( apply_binary(the_L_meet(boole_lattice(sK17)),sK18,sK19) = apply_binary_as_element(powerset(sK17),powerset(sK17),powerset(sK17),the_L_meet(boole_lattice(sK17)),sK18,sK19)
| ~ spl20_110
| spl20_111 ),
inference(forward_subsumption_resolution,[],[f70526,f4632]) ).
fof(f88755,plain,
set_intersection2(sK18,sK19) = apply_binary(the_L_meet(boole_lattice(sK17)),sK18,sK19),
inference(forward_demodulation,[],[f62356,f5119]) ).
fof(f112723,plain,
( meet(boole_lattice(sK17),sK18,sK19) = apply_binary(the_L_meet(boole_lattice(sK17)),sK18,sK19)
| ~ spl20_110
| spl20_111 ),
inference(forward_demodulation,[],[f70529,f67520]) ).
fof(f112724,plain,
( set_intersection2(sK18,sK19) = meet(boole_lattice(sK17),sK18,sK19)
| ~ spl20_110
| spl20_111 ),
inference(forward_demodulation,[],[f112723,f88755]) ).
fof(f112727,plain,
( spl20_2
| ~ spl20_110
| spl20_111 ),
inference(avatar_split_clause,[],[f112724,f4635,f4631,f319]) ).
fof(f112732,plain,
set_union2(sK18,sK19) = apply_binary(the_L_join(boole_lattice(sK17)),sK18,sK19),
inference(forward_demodulation,[],[f62297,f5433]) ).
fof(f114109,plain,
( set_union2(sK18,sK19) = apply_binary_as_element(powerset(sK17),powerset(sK17),powerset(sK17),the_L_join(boole_lattice(sK17)),sK18,sK19)
| spl20_15
| spl20_97 ),
inference(forward_demodulation,[],[f70528,f112732]) ).
fof(f114110,plain,
( set_union2(sK18,sK19) = join(boole_lattice(sK17),sK18,sK19)
| spl20_15
| ~ spl20_18
| spl20_97 ),
inference(superposition,[],[f114109,f769]) ).
fof(f114121,plain,
( $false
| spl20_1
| spl20_15
| ~ spl20_18
| spl20_97 ),
inference(forward_subsumption_resolution,[],[f114110,f317]) ).
fof(f114122,plain,
( spl20_1
| spl20_15
| ~ spl20_18
| spl20_97 ),
inference(avatar_contradiction_clause,[],[f114121]) ).
cnf(s1,plain,
( ~ spl20_1
| ~ spl20_2 ),
inference(sat_conversion,[],[f322]) ).
cnf(s21,plain,
~ spl20_15,
inference(sat_conversion,[],[f666]) ).
cnf(s22,plain,
( spl20_15
| spl20_18 ),
inference(sat_conversion,[],[f671]) ).
cnf(s199,plain,
spl20_110,
inference(sat_conversion,[],[f4660]) ).
cnf(s201,plain,
( ~ spl20_110
| ~ spl20_111 ),
inference(sat_conversion,[],[f4712]) ).
cnf(s588,plain,
( spl20_15
| ~ spl20_97 ),
inference(sat_conversion,[],[f25833]) ).
cnf(s1128,plain,
( spl20_2
| ~ spl20_110
| spl20_111 ),
inference(sat_conversion,[],[f112727]) ).
cnf(s1133,plain,
( spl20_1
| spl20_15
| ~ spl20_18
| spl20_97 ),
inference(sat_conversion,[],[f114122]) ).
cnf(s1181,plain,
~ spl20_111,
inference(rat,[],[s201,s199]) ).
cnf(s1182,plain,
spl20_2,
inference(rat,[],[s1128,s199,s1181]) ).
cnf(s1208,plain,
~ spl20_97,
inference(rat,[],[s588,s21]) ).
cnf(s1213,plain,
spl20_18,
inference(rat,[],[s22,s21]) ).
cnf(s1221,plain,
spl20_1,
inference(rat,[],[s1133,s1208,s21,s1213]) ).
cnf(s1315,plain,
$false,
inference(rat,[],[s1,s1182,s1221]) ).
fof(f114128,plain,
$false,
inference(avatar_sat_refutation,[],[s1315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU343+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.34 % Computer : n012.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 28 04:48:49 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 Running first-order model finding
% 0.12/0.37 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
% 7.41/1.63 % (3023722)Will run a generic schedule for satisfiability detection.
% 7.41/1.63 % (3023727)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3383803466_2999 on theBenchmark for (2999ds/0Mi)
% 7.41/1.63 % (3023728)% WARNING: option uhcvi not known.
% 7.41/1.63 % (3023730)dis+10_1_sil=32000:sp=arity:random_seed=2645438509:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.41/1.63 % (3023732)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2841814493:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.41/1.63 % (3023733)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3762661464:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.41/1.63 % (3023731)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=869415796:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.41/1.63 % TRYING [1]
% 7.41/1.63 % TRYING [2]
% 7.41/1.63 % (3023728)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3241038784:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.41/1.63 % (3023729)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4193068200:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.41/1.63 % TRYING [3]
% 7.41/1.63 % TRYING [4]
% 7.41/1.63 % (3023730)Instruction limit reached!
% 7.41/1.63 % (3023730)------------------------------
% 7.41/1.63 % (3023730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.63 % (3023730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.63 % (3023730)CaDiCaL version: 2.1.3
% 7.41/1.63 % (3023730)Termination reason: Instruction limit
% 7.41/1.63 % (3023730)Termination phase: Saturation
% 7.41/1.63 % (3023730)Time elapsed: 0.053 s
% 7.41/1.63 % (3023730)Peak memory usage: 12 MB
% 7.41/1.63 % (3023730)Instructions burned: 105 (million)
% 7.41/1.63 % (3023731)Instruction limit reached!
% 7.41/1.63 % (3023731)------------------------------
% 7.41/1.63 % (3023731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.63 % (3023731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.63 % (3023731)CaDiCaL version: 2.1.3
% 7.41/1.63 % (3023731)Termination reason: Instruction limit
% 7.41/1.63 % (3023731)Termination phase: Saturation
% 7.41/1.63 % (3023731)Time elapsed: 0.061 s
% 7.41/1.63 % (3023731)Peak memory usage: 13 MB
% 7.41/1.63 % (3023731)Instructions burned: 116 (million)
% 7.41/1.63 % (3023741)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=623463191:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.41/1.63 % (3023732)Instruction limit reached!
% 7.41/1.63 % (3023732)------------------------------
% 7.41/1.63 % (3023732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.63 % (3023732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.63 % (3023732)CaDiCaL version: 2.1.3
% 7.41/1.63 % (3023732)Termination reason: Instruction limit
% 7.41/1.63 % (3023732)Termination phase: Saturation
% 7.41/1.63 % (3023732)Time elapsed: 0.069 s
% 7.41/1.63 % (3023732)Peak memory usage: 13 MB
% 7.41/1.63 % (3023732)Instructions burned: 131 (million)
% 7.41/1.63 % TRYING [1]
% 7.41/1.63 % TRYING [2]
% 7.41/1.63 % TRYING [3]
% 7.41/1.63 % (3023742)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=469287526:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.41/1.63 % (3023744)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=3558878838:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 7.41/1.63 % (3023733)Instruction limit reached!
% 7.41/1.63 % (3023733)------------------------------
% 7.41/1.63 % (3023733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.63 % (3023733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.63 % (3023733)CaDiCaL version: 2.1.3
% 7.41/1.63 % (3023733)Termination reason: Instruction limit
% 7.41/1.63 % (3023733)Termination phase: Saturation
% 7.41/1.63 % (3023733)Time elapsed: 0.090 s
% 7.41/1.63 % (3023733)Peak memory usage: 14 MB
% 7.41/1.63 % (3023733)Instructions burned: 159 (million)
% 7.41/1.63 % (3023747)ott-21_1_sil=16000:fs=off:random_seed=975722872:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.41/1.63 % TRYING [4]
% 7.41/1.63 % (3023742)Instruction limit reached!
% 7.41/1.63 % (3023742)------------------------------
% 7.41/1.63 % (3023742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.63 % (3023742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.03 % (3023742)CaDiCaL version: 2.1.3
% 11.98/4.03 % (3023742)Termination reason: Instruction limit
% 11.98/4.03 % (3023742)Termination phase: Saturation
% 11.98/4.03 % (3023742)Time elapsed: 0.061 s
% 11.98/4.03 % (3023742)Peak memory usage: 13 MB
% 11.98/4.03 % (3023742)Instructions burned: 133 (million)
% 11.98/4.03 % (3023749)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=928379831:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 11.98/4.03 % (3023747)Instruction limit reached!
% 11.98/4.03 % (3023747)------------------------------
% 11.98/4.03 % (3023747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.03 % (3023747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.03 % (3023747)CaDiCaL version: 2.1.3
% 11.98/4.03 % (3023747)Termination reason: Instruction limit
% 11.98/4.03 % (3023747)Termination phase: Saturation
% 11.98/4.03 % (3023747)Time elapsed: 0.087 s
% 11.98/4.03 % (3023747)Peak memory usage: 13 MB
% 11.98/4.03 % (3023747)Instructions burned: 180 (million)
% 11.98/4.03 % (3023751)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1630646865:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.98/4.04 % TRYING [1]
% 11.98/4.04 % TRYING [2]
% 11.98/4.04 % TRYING [3]
% 11.98/4.04 % (3023741)Instruction limit reached!
% 11.98/4.04 % (3023741)------------------------------
% 11.98/4.04 % (3023741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.04 % (3023741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.04 % (3023741)CaDiCaL version: 2.1.3
% 11.98/4.04 % (3023741)Termination reason: Instruction limit
% 11.98/4.04 % (3023741)Termination phase: Finite model building constraint generation
% 11.98/4.04 % (3023741)Time elapsed: 0.204 s
% 11.98/4.04 % (3023741)Peak memory usage: 26 MB
% 11.98/4.04 % (3023741)Instructions burned: 716 (million)
% 11.98/4.04 % (3023753)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3596650677:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 11.98/4.04 % TRYING [4]
% 11.98/4.04 % (3023749)Instruction limit reached!
% 11.98/4.04 % (3023749)------------------------------
% 11.98/4.04 % (3023749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.04 % (3023749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.04 % (3023749)CaDiCaL version: 2.1.3
% 11.98/4.04 % (3023749)Termination reason: Instruction limit
% 11.98/4.04 % (3023749)Termination phase: Saturation
% 11.98/4.04 % (3023749)Time elapsed: 0.248 s
% 11.98/4.04 % (3023749)Peak memory usage: 14 MB
% 11.98/4.04 % (3023749)Instructions burned: 478 (million)
% 11.98/4.04 % (3023744)Instruction limit reached!
% 11.98/4.04 % (3023744)------------------------------
% 11.98/4.04 % (3023744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.04 % (3023744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.04 % (3023744)CaDiCaL version: 2.1.3
% 11.98/4.04 % (3023744)Termination reason: Instruction limit
% 11.98/4.04 % (3023744)Termination phase: Saturation
% 11.98/4.04 % (3023744)Time elapsed: 0.325 s
% 11.98/4.04 % (3023744)Peak memory usage: 18 MB
% 11.98/4.04 % (3023744)Instructions burned: 684 (million)
% 11.98/4.04 % (3023756)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1269443477:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 11.98/4.04 % (3023757)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=3726241967:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 11.98/4.04 % TRYING [5]
% 11.98/4.04 % (3023751)Instruction limit reached!
% 11.98/4.04 % (3023751)------------------------------
% 11.98/4.04 % (3023751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.04 % (3023751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.04 % (3023751)CaDiCaL version: 2.1.3
% 11.98/4.04 % (3023751)Termination reason: Instruction limit
% 11.98/4.04 % (3023751)Termination phase: Finite model building constraint generation
% 11.98/4.04 % (3023751)Time elapsed: 0.306 s
% 11.98/4.04 % (3023751)Peak memory usage: 31 MB
% 11.98/4.04 % (3023751)Instructions burned: 865 (million)
% 11.98/4.04 % (3023761)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2181898869:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 11.98/4.04 % (3023753)Instruction limit reached!
% 11.98/4.04 % (3023753)------------------------------
% 11.98/4.04 % (3023753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.04 % (3023753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.04 % (3023753)CaDiCaL version: 2.1.3
% 11.98/4.04 % (3023753)Termination reason: Instruction limit
% 11.98/4.04 % (3023753)Termination phase: Saturation
% 11.98/4.04 % (3023753)Time elapsed: 0.519 s
% 11.98/4.04 % (3023753)Peak memory usage: 25 MB
% 11.98/4.04 % (3023753)Instructions burned: 1182 (million)
% 11.98/4.04 % (3023763)fmb+10_1_sil=64000:random_seed=280956059:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 11.98/4.04 % TRYING [1]
% 11.98/4.04 % TRYING [2]
% 11.98/4.04 % TRYING [3]
% 11.98/4.04 % (3023757)Instruction limit reached!
% 11.98/4.04 % (3023757)------------------------------
% 11.98/4.04 % (3023757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.04 % (3023757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.04 % (3023757)CaDiCaL version: 2.1.3
% 11.98/4.04 % (3023757)Termination reason: Instruction limit
% 11.98/4.04 % (3023757)Termination phase: Saturation
% 11.98/4.04 % (3023757)Time elapsed: 0.406 s
% 11.98/4.04 % (3023757)Peak memory usage: 20 MB
% 11.98/4.04 % (3023757)Instructions burned: 692 (million)
% 11.98/4.04 % (3023756)Instruction limit reached!
% 11.98/4.04 % (3023756)------------------------------
% 11.98/4.04 % (3023756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.04 % (3023756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.04 % (3023756)CaDiCaL version: 2.1.3
% 11.98/4.04 % (3023756)Termination reason: Instruction limit
% 11.98/4.04 % (3023756)Termination phase: Finite model building constraint generation
% 11.98/4.04 % (3023756)Time elapsed: 0.442 s
% 11.98/4.04 % (3023756)Peak memory usage: 105 MB
% 11.98/4.04 % (3023756)Instructions burned: 890 (million)
% 11.98/4.04 % (3023765)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3594529052:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 11.98/4.04 % (3023766)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1627885424:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 11.98/4.04 % (3023765)Cannot represent all propositional literals internally
% 11.98/4.04 % (3023765)Refutation not found, incomplete strategy
% 11.98/4.04 % (3023765)------------------------------
% 11.98/4.04 % (3023765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.04 % (3023765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.04 % (3023765)CaDiCaL version: 2.1.3
% 11.98/4.04 % (3023765)Termination reason: Refutation not found, incomplete strategy
% 11.98/4.04 % (3023765)Time elapsed: 0.008 s
% 11.98/4.04 % (3023765)Peak memory usage: 11 MB
% 11.98/4.04 % (3023765)Instructions burned: 16 (million)
% 11.98/4.04 % (3023765)------------------------------
% 11.98/4.04 % (3023765)------------------------------
% 11.98/4.04 % TRYING [8]
% 11.98/4.04 % (3023769)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=585654787:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 11.98/4.04 % TRYING [4]
% 11.98/4.04 % (3023761)Instruction limit reached!
% 11.98/4.04 % (3023761)------------------------------
% 11.98/4.04 % (3023761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.04 % (3023761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.04 % (3023761)CaDiCaL version: 2.1.3
% 11.98/4.04 % (3023761)Termination reason: Instruction limit
% 11.98/4.04 % (3023761)Termination phase: Saturation
% 11.98/4.04 % (3023761)Time elapsed: 0.475 s
% 11.98/4.04 % (3023761)Peak memory usage: 20 MB
% 11.98/4.04 % (3023761)Instructions burned: 880 (million)
% 11.98/4.04 % (3023771)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1485315504:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 11.98/4.04 % (3023766)Instruction limit reached!
% 11.98/4.04 % (3023766)------------------------------
% 11.98/4.04 % (3023766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.04 % (3023766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.04 % (3023766)CaDiCaL version: 2.1.3
% 11.98/4.04 % (3023766)Termination reason: Instruction limit
% 11.98/4.04 % (3023766)Termination phase: Finite model building constraint generation
% 11.98/4.04 % (3023766)Time elapsed: 0.304 s
% 11.98/4.04 % (3023766)Peak memory usage: 49 MB
% 11.98/4.04 % (3023766)Instructions burned: 922 (million)
% 11.98/4.04 % (3023773)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2533904367:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 11.98/4.04 % (3023773)Cannot represent all propositional literals internally
% 11.98/4.04 % (3023773)Refutation not found, incomplete strategy
% 11.98/4.04 % (3023773)------------------------------
% 11.98/4.04 % (3023773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.04 % (3023773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.04 % (3023773)CaDiCaL version: 2.1.3
% 11.98/4.04 % (3023773)Termination reason: Refutation not found, incomplete strategy
% 11.98/4.04 % (3023773)Time elapsed: 0.009 s
% 11.98/4.04 % (3023773)Peak memory usage: 11 MB
% 11.98/4.04 % (3023773)Instructions burned: 19 (million)
% 11.98/4.04 % (3023773)------------------------------
% 11.98/4.04 % (3023773)------------------------------
% 11.98/4.04 % (3023775)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2466348102:fmbsr=2.30978:i=2174_2987 on theBenchmark for (2987ds/2174Mi)
% 11.98/4.04 % TRYING [16]
% 11.98/4.04 % (3023771)Instruction limit reached!
% 11.98/4.04 % (3023771)------------------------------
% 11.98/4.04 % (3023771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.04 % (3023771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.04 % (3023771)CaDiCaL version: 2.1.3
% 11.98/4.04 % (3023771)Termination reason: Instruction limit
% 11.98/4.04 % (3023771)Termination phase: Saturation
% 11.98/4.04 % (3023771)Time elapsed: 0.599 s
% 11.98/4.04 % (3023771)Peak memory usage: 27 MB
% 11.98/4.04 % (3023771)Instructions burned: 1472 (million)
% 11.98/4.04 % (3023779)ott-2_1_sil=16000:newcnf=on:random_seed=2986732106:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2983 on theBenchmark for (2983ds/869Mi)
% 11.98/4.04 % (3023779)Instruction limit reached!
% 11.98/4.04 % (3023779)------------------------------
% 11.98/4.04 % (3023779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.04 % (3023779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.04 % (3023779)CaDiCaL version: 2.1.3
% 11.98/4.04 % (3023779)Termination reason: Instruction limit
% 11.98/4.04 % (3023779)Termination phase: Saturation
% 11.98/4.04 % (3023779)Time elapsed: 0.394 s
% 11.98/4.04 % (3023779)Peak memory usage: 21 MB
% 11.98/4.04 % (3023779)Instructions burned: 869 (million)
% 11.98/4.04 % (3023775)Instruction limit reached!
% 11.98/4.04 % (3023775)------------------------------
% 11.98/4.04 % (3023775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.04 % (3023775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.04 % (3023775)CaDiCaL version: 2.1.3
% 11.98/4.04 % (3023775)Termination reason: Instruction limit
% 11.98/4.04 % (3023775)Termination phase: Finite model building constraint generation
% 11.98/4.04 % (3023775)Time elapsed: 0.797 s
% 11.98/4.04 % (3023775)Peak memory usage: 131 MB
% 11.98/4.04 % (3023775)Instructions burned: 2176 (million)
% 11.98/4.04 % (3023781)ott+10_1_sil=32000:tgt=ground:random_seed=3257153616:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 11.98/4.04 % (3023783)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2206530104:i=54282_2978 on theBenchmark for (2978ds/54282Mi)
% 11.98/4.04 % TRYING [5]
% 11.98/4.04 % TRYING [1]
% 11.98/4.04 % TRYING [2]
% 11.98/4.04 % TRYING [3]
% 11.98/4.04 % TRYING [4]
% 11.98/4.04 % TRYING [5]
% 11.98/4.04 % TRYING [6]
% 11.98/4.04 % (3023769)Instruction limit reached!
% 11.98/4.04 % (3023769)------------------------------
% 11.98/4.04 % (3023769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.04 % (3023769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.04 % (3023769)CaDiCaL version: 2.1.3
% 11.98/4.04 % (3023769)Termination reason: Instruction limit
% 11.98/4.04 % (3023769)Termination phase: Saturation
% 11.98/4.04 % (3023769)Time elapsed: 2.294 s
% 11.98/4.04 % (3023769)Peak memory usage: 36 MB
% 11.98/4.04 % (3023769)Instructions burned: 5131 (million)
% 11.98/4.04 % (3023790)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1265258564:i=3512:aac=none_2967 on theBenchmark for (2967ds/3512Mi)
% 11.98/4.04 % (3023728) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3023722-3023728"...
% 11.98/4.04 % (3023728)...printing done.
% 11.98/4.04 % (3023728)Refutation found. Thanks to Tanya!
% 11.98/4.04 % SZS status Theorem for theBenchmark
% 11.98/4.04 % SZS output start Proof for theBenchmark
% See solution above
% 11.98/4.04 % (3023728)------------------------------
% 11.98/4.04 % (3023728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.98/4.04 % (3023728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/4.04 % (3023728)CaDiCaL version: 2.1.3
% 11.98/4.04 % (3023728)Termination reason: Refutation
% 11.98/4.04 % (3023728)Time elapsed: 3.592 s
% 11.98/4.04 % (3023728)Peak memory usage: 57 MB
% 11.98/4.04 % (3023728)Instructions burned: 7803 (million)
% 11.98/4.04 % (3023722)Success in time 3.66 s
% 11.98/4.04 % Vampire exiting
%------------------------------------------------------------------------------