%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU352+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:48:29 PM UTC 2026
% Result : Theorem 21.34s 4.00s
% Output : Refutation 22.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 69
% Number of leaves : 22
% Syntax : Number of formulae : 219 ( 15 unt; 5 def)
% Number of atoms : 1520 ( 155 equ)
% Maximal formula atoms : 17 ( 6 avg)
% Number of connectives : 2275 ( 974 ~;1115 |; 136 &)
% ( 17 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 6 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-3 aty)
% Number of variables : 449 ( 0 sgn 433 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( latt_str(X0)
=> ( ( ~ empty_carrier(X0)
& lattice(X0) )
=> ( ~ empty_carrier(X0)
& join_commutative(X0)
& join_associative(X0)
& meet_commutative(X0)
& meet_associative(X0)
& meet_absorbing(X0)
& join_absorbing(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattices) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& meet_commutative(X0)
& meet_semilatt_str(X0)
& element(X1,the_carrier(X0))
& element(X2,the_carrier(X0)) )
=> meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k4_lattices) ).
fof(f7,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(f8,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(f9,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& latt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( latt_element_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X2)
=> below(X0,X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d17_lattice3) ).
fof(f11,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& latt_str(X0) )
=> ( ( ~ empty_carrier(X0)
& lattice(X0)
& complete_latt_str(X0)
& latt_str(X0) )
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( X2 = join_of_latt_set(X0,X1)
<=> ( latt_element_smaller(X0,X2,X1)
& ! [X3] :
( element(X3,the_carrier(X0))
=> ( latt_element_smaller(X0,X3,X1)
=> below(X0,X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d21_lattice3) ).
fof(f14,axiom,
! [X0,X1] :
( ( ~ empty_carrier(X0)
& latt_str(X0) )
=> element(join_of_latt_set(X0,X1),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k15_lattice3) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& meet_semilatt_str(X0)
& element(X1,the_carrier(X0))
& element(X2,the_carrier(X0)) )
=> element(meet(X0,X1,X2),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_lattices) ).
fof(f24,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& meet_commutative(X0)
& meet_semilatt_str(X0)
& element(X1,the_carrier(X0))
& element(X2,the_carrier(X0)) )
=> element(meet_commut(X0,X1,X2),the_carrier(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_lattices) ).
fof(f26,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(f30,axiom,
! [X0] :
( latt_str(X0)
=> ( meet_semilatt_str(X0)
& join_semilatt_str(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f45,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f58,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& meet_commutative(X0)
& meet_semilatt_str(X0)
& element(X1,the_carrier(X0))
& element(X2,the_carrier(X0)) )
=> meet_commut(X0,X1,X2) = meet(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_lattices) ).
fof(f64,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& meet_commutative(X0)
& meet_absorbing(X0)
& latt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> below(X0,meet_commut(X0,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_lattices) ).
fof(f65,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& join_commutative(X0)
& join_semilatt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( ( below(X0,X1,X2)
& below(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_lattices) ).
fof(f69,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& complete_latt_str(X0)
& latt_str(X0) )
=> ( ~ empty_carrier(X0)
& lattice(X0)
& lower_bounded_semilattstr(X0)
& latt_str(X0)
& bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_lattice3) ).
fof(f70,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& complete_latt_str(X0)
& latt_str(X0) )
=> ( ~ empty_carrier(X0)
& lattice(X0)
& lower_bounded_semilattstr(X0)
& latt_str(X0)
& bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set) ) ),
inference(negated_conjecture,[status(cth)],[f69]) ).
fof(f73,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f81,plain,
? [X0] :
( ( empty_carrier(X0)
| ~ lattice(X0)
| ~ lower_bounded_semilattstr(X0)
| ~ latt_str(X0)
| bottom_of_semilattstr(X0) != join_of_latt_set(X0,empty_set) )
& ~ empty_carrier(X0)
& lattice(X0)
& complete_latt_str(X0)
& latt_str(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f82,plain,
? [X0] :
( ( empty_carrier(X0)
| ~ lattice(X0)
| ~ lower_bounded_semilattstr(X0)
| ~ latt_str(X0)
| bottom_of_semilattstr(X0) != join_of_latt_set(X0,empty_set) )
& ~ empty_carrier(X0)
& lattice(X0)
& complete_latt_str(X0)
& latt_str(X0) ),
inference(flattening,[],[f81]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ below(X0,X1,X2)
| ~ below(X0,X2,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ join_semilatt_str(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ below(X0,X1,X2)
| ~ below(X0,X2,X1)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ join_semilatt_str(X0) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet(X0,X1,X2)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(ennf_transformation,[],[f58]) ).
fof(f88,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet(X0,X1,X2)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(flattening,[],[f87]) ).
fof(f93,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = join_of_latt_set(X0,X1)
<=> ( latt_element_smaller(X0,X2,X1)
& ! [X3] :
( below(X0,X2,X3)
| ~ latt_element_smaller(X0,X3,X1)
| ~ element(X3,the_carrier(X0)) ) ) )
| ~ element(X2,the_carrier(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f94,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = join_of_latt_set(X0,X1)
<=> ( latt_element_smaller(X0,X2,X1)
& ! [X3] :
( below(X0,X2,X3)
| ~ latt_element_smaller(X0,X3,X1)
| ~ element(X3,the_carrier(X0)) ) ) )
| ~ element(X2,the_carrier(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f93]) ).
fof(f97,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,[],[f8]) ).
fof(f98,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,[],[f97]) ).
fof(f99,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,[],[f7]) ).
fof(f100,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,[],[f99]) ).
fof(f101,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f102,plain,
! [X0,X1,X2] :
( meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( below(X0,meet_commut(X0,X1,X2),X1)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( below(X0,meet_commut(X0,X1,X2),X1)
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f103]) ).
fof(f109,plain,
! [X0] :
( ( meet_semilatt_str(X0)
& join_semilatt_str(X0) )
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f110,plain,
! [X0,X1] :
( element(join_of_latt_set(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f111,plain,
! [X0,X1] :
( element(join_of_latt_set(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( latt_element_smaller(X0,X1,X2)
<=> ! [X3] :
( below(X0,X3,X1)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( latt_element_smaller(X0,X1,X2)
<=> ! [X3] :
( below(X0,X3,X1)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f112]) ).
fof(f116,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& join_commutative(X0)
& join_associative(X0)
& meet_commutative(X0)
& meet_associative(X0)
& meet_absorbing(X0)
& join_absorbing(X0) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f117,plain,
! [X0] :
( ( ~ empty_carrier(X0)
& join_commutative(X0)
& join_associative(X0)
& meet_commutative(X0)
& meet_associative(X0)
& meet_absorbing(X0)
& join_absorbing(X0) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0] :
( element(bottom_of_semilattstr(X0),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f119,plain,
! [X0] :
( element(bottom_of_semilattstr(X0),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(flattening,[],[f118]) ).
fof(f121,plain,
! [X0,X1,X2] :
( element(meet_commut(X0,X1,X2),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f122,plain,
! [X0,X1,X2] :
( element(meet_commut(X0,X1,X2),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( element(meet(X0,X1,X2),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(ennf_transformation,[],[f21]) ).
fof(f124,plain,
! [X0,X1,X2] :
( element(meet(X0,X1,X2),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(flattening,[],[f123]) ).
fof(f137,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f151,plain,
( ( empty_carrier(sK0)
| ~ lattice(sK0)
| ~ lower_bounded_semilattstr(sK0)
| ~ latt_str(sK0)
| bottom_of_semilattstr(sK0) != join_of_latt_set(sK0,empty_set) )
& ~ empty_carrier(sK0)
& lattice(sK0)
& complete_latt_str(sK0)
& latt_str(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f82]) ).
fof(f152,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = join_of_latt_set(X0,X1)
| ~ latt_element_smaller(X0,X2,X1)
| ? [X3] :
( ~ below(X0,X2,X3)
& latt_element_smaller(X0,X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ( latt_element_smaller(X0,X2,X1)
& ! [X3] :
( below(X0,X2,X3)
| ~ latt_element_smaller(X0,X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| join_of_latt_set(X0,X1) != X2 ) )
| ~ element(X2,the_carrier(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(nnf_transformation,[],[f94]) ).
fof(f153,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = join_of_latt_set(X0,X1)
| ~ latt_element_smaller(X0,X2,X1)
| ? [X3] :
( ~ below(X0,X2,X3)
& latt_element_smaller(X0,X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ( latt_element_smaller(X0,X2,X1)
& ! [X3] :
( below(X0,X2,X3)
| ~ latt_element_smaller(X0,X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| join_of_latt_set(X0,X1) != X2 ) )
| ~ element(X2,the_carrier(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f152]) ).
fof(f154,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = join_of_latt_set(X0,X1)
| ~ latt_element_smaller(X0,X2,X1)
| ? [X3] :
( ~ below(X0,X2,X3)
& latt_element_smaller(X0,X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ( latt_element_smaller(X0,X2,X1)
& ! [X4] :
( below(X0,X2,X4)
| ~ latt_element_smaller(X0,X4,X1)
| ~ element(X4,the_carrier(X0)) ) )
| join_of_latt_set(X0,X1) != X2 ) )
| ~ element(X2,the_carrier(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(rectify,[],[f153]) ).
fof(f155,plain,
! [X0] :
( ! [X1,X2] :
( ( ( X2 = join_of_latt_set(X0,X1)
| ~ latt_element_smaller(X0,X2,X1)
| ( ~ below(X0,X2,sK1(X0,X1,X2))
& latt_element_smaller(X0,sK1(X0,X1,X2),X1)
& element(sK1(X0,X1,X2),the_carrier(X0)) ) )
& ( ( latt_element_smaller(X0,X2,X1)
& ! [X4] :
( below(X0,X2,X4)
| ~ latt_element_smaller(X0,X4,X1)
| ~ element(X4,the_carrier(X0)) ) )
| join_of_latt_set(X0,X1) != X2 ) )
| ~ element(X2,the_carrier(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f154]) ).
fof(f156,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,[],[f98]) ).
fof(f157,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,[],[f156]) ).
fof(f158,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))],[f157]) ).
fof(f159,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,[],[f100]) ).
fof(f160,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,[],[f159]) ).
fof(f161,plain,
! [X0] :
( ( ( lower_bounded_semilattstr(X0)
| ! [X1] :
( ~ element(X1,the_carrier(X0))
| ( ( meet(X0,X1,sK3(X0,X1)) != X1
| meet(X0,sK3(X0,X1),X1) != X1 )
& element(sK3(X0,X1),the_carrier(X0)) ) ) )
& ( ( element(sK4(X0),the_carrier(X0))
& ! [X4] :
( ( sK4(X0) = meet(X0,sK4(X0),X4)
& sK4(X0) = meet(X0,X4,sK4(X0)) )
| ~ element(X4,the_carrier(X0)) ) )
| ~ lower_bounded_semilattstr(X0) ) )
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X2,sK3(X0,X1)),skolemize(X3,sK4(X0))],[f160]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( latt_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ below(X0,X3,X1)
& in(X3,X2)
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( below(X0,X3,X1)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X0)) )
| ~ latt_element_smaller(X0,X1,X2) ) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(nnf_transformation,[],[f113]) ).
fof(f165,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( latt_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ below(X0,X3,X1)
& in(X3,X2)
& element(X3,the_carrier(X0)) ) )
& ( ! [X4] :
( below(X0,X4,X1)
| ~ in(X4,X2)
| ~ element(X4,the_carrier(X0)) )
| ~ latt_element_smaller(X0,X1,X2) ) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(rectify,[],[f164]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( latt_element_smaller(X0,X1,X2)
| ( ~ below(X0,sK6(X0,X1,X2),X1)
& in(sK6(X0,X1,X2),X2)
& element(sK6(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X4] :
( below(X0,X4,X1)
| ~ in(X4,X2)
| ~ element(X4,the_carrier(X0)) )
| ~ latt_element_smaller(X0,X1,X2) ) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X3,sK6(X0,X1,X2))],[f165]) ).
fof(f180,plain,
latt_str(sK0),
inference(cnf_transformation,[],[f151]) ).
fof(f181,plain,
complete_latt_str(sK0),
inference(cnf_transformation,[],[f151]) ).
fof(f182,plain,
lattice(sK0),
inference(cnf_transformation,[],[f151]) ).
fof(f183,plain,
~ empty_carrier(sK0),
inference(cnf_transformation,[],[f151]) ).
fof(f184,plain,
( empty_carrier(sK0)
| ~ lattice(sK0)
| ~ lower_bounded_semilattstr(sK0)
| ~ latt_str(sK0)
| bottom_of_semilattstr(sK0) != join_of_latt_set(sK0,empty_set) ),
inference(cnf_transformation,[],[f151]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ below(X0,X2,X1)
| ~ below(X0,X1,X2)
| X1 = X2
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ join_semilatt_str(X0) ),
inference(cnf_transformation,[],[f86]) ).
fof(f188,plain,
! [X2,X0,X1] :
( meet_commut(X0,X1,X2) = meet(X0,X1,X2)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f192,plain,
! [X2,X0,X1,X4] :
( below(X0,X2,X4)
| ~ latt_element_smaller(X0,X4,X1)
| ~ element(X4,the_carrier(X0))
| join_of_latt_set(X0,X1) != X2
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f198,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,[],[f158]) ).
fof(f205,plain,
! [X0,X1] :
( element(sK3(X0,X1),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f206,plain,
! [X0,X1] :
( meet(X0,sK3(X0,X1),X1) != X1
| ~ element(X1,the_carrier(X0))
| meet(X0,X1,sK3(X0,X1)) != X1
| lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f207,plain,
! [X2,X0,X1] :
( meet_commut(X0,X1,X2) = meet_commut(X0,X2,X1)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f209,plain,
! [X2,X0,X1] :
( below(X0,meet_commut(X0,X1,X2),X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f214,plain,
! [X0] :
( join_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f215,plain,
! [X0] :
( meet_semilatt_str(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f216,plain,
! [X0,X1] :
( element(join_of_latt_set(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f219,plain,
! [X2,X0,X1] :
( in(sK6(X0,X1,X2),X2)
| latt_element_smaller(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f224,plain,
! [X0] :
( meet_absorbing(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f226,plain,
! [X0] :
( meet_commutative(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f228,plain,
! [X0] :
( join_commutative(X0)
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f230,plain,
! [X0] :
( element(bottom_of_semilattstr(X0),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f231,plain,
empty(empty_set),
inference(cnf_transformation,[],[f45]) ).
fof(f237,plain,
! [X2,X0,X1] :
( element(meet_commut(X0,X1,X2),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f238,plain,
! [X2,X0,X1] :
( element(meet(X0,X1,X2),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f259,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f281,plain,
! [X0,X1,X4] :
( below(X0,join_of_latt_set(X0,X1),X4)
| ~ latt_element_smaller(X0,X4,X1)
| ~ element(X4,the_carrier(X0))
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ latt_str(X0) ),
inference(equality_resolution,[],[f192]) ).
fof(f283,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,[],[f198]) ).
fof(f284,plain,
! [X0,X1,X4] :
( below(X0,join_of_latt_set(X0,X1),X4)
| ~ latt_element_smaller(X0,X4,X1)
| ~ element(X4,the_carrier(X0))
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(duplicate_literal_removal,[],[f281]) ).
fof(f289,plain,
! [X3,X0] :
( bottom_of_semilattstr(X0) = meet(X0,X3,bottom_of_semilattstr(X0))
| ~ element(X3,the_carrier(X0))
| ~ lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(forward_subsumption_resolution,[],[f283,f230]) ).
fof(f292,plain,
! [X0,X1,X4] :
( below(X0,join_of_latt_set(X0,X1),X4)
| ~ latt_element_smaller(X0,X4,X1)
| ~ element(X4,the_carrier(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f284,f216]) ).
fof(f294,plain,
( ~ lattice(sK0)
| ~ lower_bounded_semilattstr(sK0)
| ~ latt_str(sK0)
| bottom_of_semilattstr(sK0) != join_of_latt_set(sK0,empty_set) ),
inference(forward_subsumption_resolution,[],[f184,f183]) ).
fof(f295,plain,
( ~ lower_bounded_semilattstr(sK0)
| ~ latt_str(sK0)
| bottom_of_semilattstr(sK0) != join_of_latt_set(sK0,empty_set) ),
inference(forward_subsumption_resolution,[],[f294,f182]) ).
fof(f296,plain,
( ~ lower_bounded_semilattstr(sK0)
| bottom_of_semilattstr(sK0) != join_of_latt_set(sK0,empty_set) ),
inference(forward_subsumption_resolution,[],[f295,f180]) ).
fof(f298,definition,
( spl19_1
<=> bottom_of_semilattstr(sK0) = join_of_latt_set(sK0,empty_set) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f300,plain,
( bottom_of_semilattstr(sK0) != join_of_latt_set(sK0,empty_set)
| spl19_1 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f302,definition,
( spl19_2
<=> lower_bounded_semilattstr(sK0) ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f304,plain,
( ~ lower_bounded_semilattstr(sK0)
| spl19_2 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f305,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f296,f302,f298]) ).
fof(f348,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,join_of_latt_set(X0,X2))
| join_of_latt_set(X0,X2) = X1
| ~ element(join_of_latt_set(X0,X2),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ join_semilatt_str(X0)
| ~ latt_element_smaller(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(resolution,[],[f187,f292]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,meet_commut(X0,X1,X2))
| meet_commut(X0,X1,X2) = X1
| ~ element(meet_commut(X0,X1,X2),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ join_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0) ),
inference(resolution,[],[f187,f209]) ).
fof(f353,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,meet_commut(X0,X1,X2))
| meet_commut(X0,X1,X2) = X1
| ~ element(meet_commut(X0,X1,X2),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ join_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0) ),
inference(duplicate_literal_removal,[],[f350]) ).
fof(f355,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,join_of_latt_set(X0,X2))
| join_of_latt_set(X0,X2) = X1
| ~ element(join_of_latt_set(X0,X2),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ join_semilatt_str(X0)
| ~ latt_element_smaller(X0,X1,X2)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(duplicate_literal_removal,[],[f348]) ).
fof(f356,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,meet_commut(X0,X1,X2))
| meet_commut(X0,X1,X2) = X1
| ~ element(meet_commut(X0,X1,X2),the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ element(X2,the_carrier(X0))
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f353,f214]) ).
fof(f358,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,join_of_latt_set(X0,X2))
| join_of_latt_set(X0,X2) = X1
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ join_semilatt_str(X0)
| ~ latt_element_smaller(X0,X1,X2)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f355,f216]) ).
fof(f359,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,join_of_latt_set(X0,X2))
| join_of_latt_set(X0,X2) = X1
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ join_semilatt_str(X0)
| ~ latt_element_smaller(X0,X1,X2)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f358,f228]) ).
fof(f360,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,join_of_latt_set(X0,X2))
| join_of_latt_set(X0,X2) = X1
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ latt_element_smaller(X0,X1,X2)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f359,f214]) ).
fof(f363,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet_commut(X0,join_of_latt_set(X0,X1),X2)
| ~ element(meet_commut(X0,join_of_latt_set(X0,X1),X2),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0) ),
inference(resolution,[],[f360,f209]) ).
fof(f366,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet_commut(X0,join_of_latt_set(X0,X1),X2)
| ~ element(meet_commut(X0,join_of_latt_set(X0,X1),X2),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0) ),
inference(duplicate_literal_removal,[],[f363]) ).
fof(f369,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet_commut(X0,join_of_latt_set(X0,X1),X2)
| ~ element(meet_commut(X0,join_of_latt_set(X0,X1),X2),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0) ),
inference(forward_subsumption_resolution,[],[f366,f216]) ).
fof(f372,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet_commut(X0,join_of_latt_set(X0,X1),X2)
| ~ element(meet_commut(X0,join_of_latt_set(X0,X1),X2),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ meet_absorbing(X0) ),
inference(forward_subsumption_resolution,[],[f369,f226]) ).
fof(f374,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet_commut(X0,join_of_latt_set(X0,X1),X2)
| ~ element(meet_commut(X0,join_of_latt_set(X0,X1),X2),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f372,f224]) ).
fof(f441,plain,
! [X2,X0,X1] :
( below(X0,meet(X0,X1,X2),X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(superposition,[],[f209,f188]) ).
fof(f443,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet(X0,join_of_latt_set(X0,X1),X2)
| ~ element(meet(X0,join_of_latt_set(X0,X1),X2),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(superposition,[],[f374,f188]) ).
fof(f444,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet(X0,join_of_latt_set(X0,X1),X2)
| ~ element(meet(X0,join_of_latt_set(X0,X1),X2),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0)) ),
inference(duplicate_literal_removal,[],[f443]) ).
fof(f446,plain,
! [X2,X0,X1] :
( below(X0,meet(X0,X1,X2),X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0)
| ~ meet_semilatt_str(X0) ),
inference(duplicate_literal_removal,[],[f441]) ).
fof(f448,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet(X0,join_of_latt_set(X0,X1),X2)
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f444,f238]) ).
fof(f450,plain,
! [X2,X0,X1] :
( below(X0,meet(X0,X1,X2),X1)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f446,f215]) ).
fof(f452,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet(X0,join_of_latt_set(X0,X1),X2)
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f448,f226]) ).
fof(f455,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet(X0,join_of_latt_set(X0,X1),X2)
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ meet_semilatt_str(X0) ),
inference(forward_subsumption_resolution,[],[f452,f216]) ).
fof(f458,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet(X0,join_of_latt_set(X0,X1),X2)
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f455,f215]) ).
fof(f499,plain,
! [X0,X1] :
( bottom_of_semilattstr(X0) = join_of_latt_set(X0,X1)
| empty_carrier(X0)
| ~ latt_element_smaller(X0,bottom_of_semilattstr(X0),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(bottom_of_semilattstr(X0),the_carrier(X0))
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| ~ lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0) ),
inference(superposition,[],[f458,f289]) ).
fof(f504,plain,
! [X0,X1] :
( bottom_of_semilattstr(X0) = join_of_latt_set(X0,X1)
| empty_carrier(X0)
| ~ latt_element_smaller(X0,bottom_of_semilattstr(X0),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(bottom_of_semilattstr(X0),the_carrier(X0))
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| ~ lower_bounded_semilattstr(X0)
| ~ meet_semilatt_str(X0) ),
inference(duplicate_literal_removal,[],[f499]) ).
fof(f509,plain,
! [X0,X1] :
( bottom_of_semilattstr(X0) = join_of_latt_set(X0,X1)
| empty_carrier(X0)
| ~ latt_element_smaller(X0,bottom_of_semilattstr(X0),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(bottom_of_semilattstr(X0),the_carrier(X0))
| ~ lower_bounded_semilattstr(X0)
| ~ meet_semilatt_str(X0) ),
inference(forward_subsumption_resolution,[],[f504,f216]) ).
fof(f511,plain,
! [X0,X1] :
( bottom_of_semilattstr(X0) = join_of_latt_set(X0,X1)
| empty_carrier(X0)
| ~ latt_element_smaller(X0,bottom_of_semilattstr(X0),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ lower_bounded_semilattstr(X0)
| ~ meet_semilatt_str(X0) ),
inference(forward_subsumption_resolution,[],[f509,f230]) ).
fof(f512,plain,
! [X0,X1] :
( bottom_of_semilattstr(X0) = join_of_latt_set(X0,X1)
| empty_carrier(X0)
| ~ latt_element_smaller(X0,bottom_of_semilattstr(X0),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ lower_bounded_semilattstr(X0) ),
inference(forward_subsumption_resolution,[],[f511,f215]) ).
fof(f516,plain,
( bottom_of_semilattstr(sK0) != bottom_of_semilattstr(sK0)
| empty_carrier(sK0)
| ~ latt_element_smaller(sK0,bottom_of_semilattstr(sK0),empty_set)
| ~ lattice(sK0)
| ~ complete_latt_str(sK0)
| ~ latt_str(sK0)
| ~ lower_bounded_semilattstr(sK0)
| spl19_1 ),
inference(superposition,[],[f300,f512]) ).
fof(f541,plain,
( empty_carrier(sK0)
| ~ latt_element_smaller(sK0,bottom_of_semilattstr(sK0),empty_set)
| ~ lattice(sK0)
| ~ complete_latt_str(sK0)
| ~ latt_str(sK0)
| ~ lower_bounded_semilattstr(sK0)
| spl19_1 ),
inference(trivial_inequality_removal,[],[f516]) ).
fof(f545,plain,
( ~ latt_element_smaller(sK0,bottom_of_semilattstr(sK0),empty_set)
| ~ lattice(sK0)
| ~ complete_latt_str(sK0)
| ~ latt_str(sK0)
| ~ lower_bounded_semilattstr(sK0)
| spl19_1 ),
inference(forward_subsumption_resolution,[],[f541,f183]) ).
fof(f546,plain,
( ~ latt_element_smaller(sK0,bottom_of_semilattstr(sK0),empty_set)
| ~ complete_latt_str(sK0)
| ~ latt_str(sK0)
| ~ lower_bounded_semilattstr(sK0)
| spl19_1 ),
inference(forward_subsumption_resolution,[],[f545,f182]) ).
fof(f547,plain,
( ~ latt_element_smaller(sK0,bottom_of_semilattstr(sK0),empty_set)
| ~ latt_str(sK0)
| ~ lower_bounded_semilattstr(sK0)
| spl19_1 ),
inference(forward_subsumption_resolution,[],[f546,f181]) ).
fof(f548,plain,
( ~ latt_element_smaller(sK0,bottom_of_semilattstr(sK0),empty_set)
| ~ lower_bounded_semilattstr(sK0)
| spl19_1 ),
inference(forward_subsumption_resolution,[],[f547,f180]) ).
fof(f550,definition,
( spl19_3
<=> latt_element_smaller(sK0,bottom_of_semilattstr(sK0),empty_set) ),
introduced(definition,[new_symbols(definition,[spl19_3])],[avatar_definition]) ).
fof(f552,plain,
( ~ latt_element_smaller(sK0,bottom_of_semilattstr(sK0),empty_set)
| spl19_3 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f553,plain,
( ~ spl19_2
| ~ spl19_3
| spl19_1 ),
inference(avatar_split_clause,[],[f548,f298,f550,f302]) ).
fof(f628,plain,
! [X2,X0,X1] :
( meet_commut(X0,X1,X2) = meet(X0,X2,X1)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(superposition,[],[f188,f207]) ).
fof(f631,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X2) = meet_commut(X0,X1,join_of_latt_set(X0,X2))
| ~ element(meet_commut(X0,X1,join_of_latt_set(X0,X2)),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,X1,join_of_latt_set(X0,X2)),X2)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(join_of_latt_set(X0,X2),the_carrier(X0)) ),
inference(superposition,[],[f374,f207]) ).
fof(f636,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X2) = meet_commut(X0,X1,join_of_latt_set(X0,X2))
| ~ element(meet_commut(X0,X1,join_of_latt_set(X0,X2)),the_carrier(X0))
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,X1,join_of_latt_set(X0,X2)),X2)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(join_of_latt_set(X0,X2),the_carrier(X0)) ),
inference(duplicate_literal_removal,[],[f631]) ).
fof(f639,plain,
! [X2,X0,X1] :
( meet_commut(X0,X1,X2) = meet(X0,X2,X1)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0)) ),
inference(duplicate_literal_removal,[],[f628]) ).
fof(f652,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X2) = meet_commut(X0,X1,join_of_latt_set(X0,X2))
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,X1,join_of_latt_set(X0,X2)),X2)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(join_of_latt_set(X0,X2),the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f636,f237]) ).
fof(f664,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X2) = meet_commut(X0,X1,join_of_latt_set(X0,X2))
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,X1,join_of_latt_set(X0,X2)),X2)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ element(join_of_latt_set(X0,X2),the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f652,f226]) ).
fof(f674,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X2) = meet_commut(X0,X1,join_of_latt_set(X0,X2))
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,X1,join_of_latt_set(X0,X2)),X2)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ meet_semilatt_str(X0) ),
inference(forward_subsumption_resolution,[],[f664,f216]) ).
fof(f683,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X2) = meet_commut(X0,X1,join_of_latt_set(X0,X2))
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,X1,join_of_latt_set(X0,X2)),X2)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f674,f215]) ).
fof(f837,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet_commut(X0,join_of_latt_set(X0,X1),X2)
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0)) ),
inference(superposition,[],[f683,f207]) ).
fof(f858,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet_commut(X0,join_of_latt_set(X0,X1),X2)
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0)) ),
inference(duplicate_literal_removal,[],[f837]) ).
fof(f872,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet_commut(X0,join_of_latt_set(X0,X1),X2)
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ meet_semilatt_str(X0)
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f858,f226]) ).
fof(f881,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet_commut(X0,join_of_latt_set(X0,X1),X2)
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ meet_semilatt_str(X0) ),
inference(forward_subsumption_resolution,[],[f872,f216]) ).
fof(f887,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet_commut(X0,join_of_latt_set(X0,X1),X2)
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f881,f215]) ).
fof(f1018,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet_commut(X0,X2,join_of_latt_set(X0,X1))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0)
| ~ element(X2,the_carrier(X0)) ),
inference(superposition,[],[f207,f887]) ).
fof(f1031,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet_commut(X0,X2,join_of_latt_set(X0,X1))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(duplicate_literal_removal,[],[f1018]) ).
fof(f1051,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet_commut(X0,X2,join_of_latt_set(X0,X1))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f1031,f226]) ).
fof(f1064,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet_commut(X0,X2,join_of_latt_set(X0,X1))
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f1051,f216]) ).
fof(f1073,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet_commut(X0,X2,join_of_latt_set(X0,X1))
| empty_carrier(X0)
| ~ element(X2,the_carrier(X0))
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f1064,f215]) ).
fof(f1374,plain,
! [X2,X0,X1] :
( meet(X0,X1,X2) = meet(X0,X2,X1)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(superposition,[],[f188,f639]) ).
fof(f1407,plain,
! [X2,X0,X1] :
( meet(X0,X1,X2) = meet(X0,X2,X1)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0)) ),
inference(duplicate_literal_removal,[],[f1374]) ).
fof(f1490,plain,
! [X0,X1] :
( meet(X0,X1,sK3(X0,X1)) != X1
| ~ element(X1,the_carrier(X0))
| meet(X0,X1,sK3(X0,X1)) != X1
| lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_semilatt_str(X0)
| ~ element(sK3(X0,X1),the_carrier(X0))
| ~ element(X1,the_carrier(X0)) ),
inference(superposition,[],[f206,f1407]) ).
fof(f1491,plain,
! [X0,X1] :
( meet(X0,X1,sK3(X0,X1)) != X1
| ~ element(X1,the_carrier(X0))
| lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| ~ element(sK3(X0,X1),the_carrier(X0)) ),
inference(duplicate_literal_removal,[],[f1490]) ).
fof(f1537,plain,
! [X0,X1] :
( meet(X0,X1,sK3(X0,X1)) != X1
| ~ element(X1,the_carrier(X0))
| lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0) ),
inference(forward_subsumption_resolution,[],[f1491,f205]) ).
fof(f2435,plain,
! [X2,X0,X1] :
( latt_element_smaller(X1,X2,X0)
| ~ empty(X0)
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ latt_str(X1) ),
inference(resolution,[],[f259,f219]) ).
fof(f2446,plain,
! [X2,X0,X1] :
( ~ below(X0,X2,join_of_latt_set(X0,X1))
| join_of_latt_set(X0,X1) = X2
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ element(X2,the_carrier(X0))
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ latt_str(X0) ),
inference(superposition,[],[f356,f1073]) ).
fof(f2451,plain,
! [X2,X0,X1] :
( ~ below(X0,X2,join_of_latt_set(X0,X1))
| join_of_latt_set(X0,X1) = X2
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0) ),
inference(duplicate_literal_removal,[],[f2446]) ).
fof(f2463,plain,
! [X2,X0,X1] :
( ~ below(X0,X2,join_of_latt_set(X0,X1))
| join_of_latt_set(X0,X1) = X2
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ join_commutative(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f2451,f216]) ).
fof(f2466,plain,
! [X2,X0,X1] :
( ~ below(X0,X2,join_of_latt_set(X0,X1))
| join_of_latt_set(X0,X1) = X2
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f2463,f228]) ).
fof(f2469,plain,
! [X2,X0,X1] :
( ~ below(X0,X2,join_of_latt_set(X0,X1))
| join_of_latt_set(X0,X1) = X2
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0)
| ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f2466,f226]) ).
fof(f2472,plain,
! [X2,X0,X1] :
( ~ latt_element_smaller(X0,meet_commut(X0,join_of_latt_set(X0,X1),X2),X1)
| join_of_latt_set(X0,X1) = X2
| ~ element(X2,the_carrier(X0))
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ below(X0,X2,join_of_latt_set(X0,X1))
| ~ lattice(X0)
| ~ complete_latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f2469,f224]) ).
fof(f10182,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| ~ element(meet_commut(X1,join_of_latt_set(X1,X0),X2),the_carrier(X1))
| empty_carrier(X1)
| ~ latt_str(X1)
| join_of_latt_set(X1,X0) = X2
| ~ element(X2,the_carrier(X1))
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ below(X1,X2,join_of_latt_set(X1,X0))
| ~ lattice(X1)
| ~ complete_latt_str(X1) ),
inference(resolution,[],[f2435,f2472]) ).
fof(f10438,plain,
! [X2,X0,X1] :
( ~ element(meet_commut(X1,join_of_latt_set(X1,X0),X2),the_carrier(X1))
| ~ empty(X0)
| empty_carrier(X1)
| ~ latt_str(X1)
| join_of_latt_set(X1,X0) = X2
| ~ element(X2,the_carrier(X1))
| ~ below(X1,X2,join_of_latt_set(X1,X0))
| ~ lattice(X1)
| ~ complete_latt_str(X1) ),
inference(duplicate_literal_removal,[],[f10182]) ).
fof(f10618,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_carrier(X1)
| ~ latt_str(X1)
| join_of_latt_set(X1,X0) = X2
| ~ element(X2,the_carrier(X1))
| ~ below(X1,X2,join_of_latt_set(X1,X0))
| ~ lattice(X1)
| ~ complete_latt_str(X1)
| empty_carrier(X1)
| ~ meet_commutative(X1)
| ~ meet_semilatt_str(X1)
| ~ element(join_of_latt_set(X1,X0),the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
inference(resolution,[],[f10438,f237]) ).
fof(f10666,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_carrier(X1)
| ~ latt_str(X1)
| join_of_latt_set(X1,X0) = X2
| ~ element(X2,the_carrier(X1))
| ~ below(X1,X2,join_of_latt_set(X1,X0))
| ~ lattice(X1)
| ~ complete_latt_str(X1)
| ~ meet_commutative(X1)
| ~ meet_semilatt_str(X1)
| ~ element(join_of_latt_set(X1,X0),the_carrier(X1)) ),
inference(duplicate_literal_removal,[],[f10618]) ).
fof(f10672,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_carrier(X1)
| ~ latt_str(X1)
| join_of_latt_set(X1,X0) = X2
| ~ element(X2,the_carrier(X1))
| ~ below(X1,X2,join_of_latt_set(X1,X0))
| ~ lattice(X1)
| ~ complete_latt_str(X1)
| ~ meet_semilatt_str(X1)
| ~ element(join_of_latt_set(X1,X0),the_carrier(X1)) ),
inference(forward_subsumption_resolution,[],[f10666,f226]) ).
fof(f10677,plain,
! [X2,X0,X1] :
( ~ empty(X0)
| empty_carrier(X1)
| ~ latt_str(X1)
| join_of_latt_set(X1,X0) = X2
| ~ element(X2,the_carrier(X1))
| ~ below(X1,X2,join_of_latt_set(X1,X0))
| ~ lattice(X1)
| ~ complete_latt_str(X1)
| ~ meet_semilatt_str(X1) ),
inference(forward_subsumption_resolution,[],[f10672,f216]) ).
fof(f10681,plain,
! [X2,X0,X1] :
( ~ below(X1,X2,join_of_latt_set(X1,X0))
| empty_carrier(X1)
| ~ latt_str(X1)
| join_of_latt_set(X1,X0) = X2
| ~ element(X2,the_carrier(X1))
| ~ empty(X0)
| ~ lattice(X1)
| ~ complete_latt_str(X1) ),
inference(forward_subsumption_resolution,[],[f10677,f215]) ).
fof(f10751,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| ~ latt_str(X0)
| join_of_latt_set(X0,X1) = meet(X0,join_of_latt_set(X0,X1),X2)
| ~ element(meet(X0,join_of_latt_set(X0,X1),X2),the_carrier(X0))
| ~ empty(X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ latt_str(X0) ),
inference(resolution,[],[f10681,f450]) ).
fof(f10790,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| ~ latt_str(X0)
| join_of_latt_set(X0,X1) = meet(X0,join_of_latt_set(X0,X1),X2)
| ~ element(meet(X0,join_of_latt_set(X0,X1),X2),the_carrier(X0))
| ~ empty(X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0) ),
inference(duplicate_literal_removal,[],[f10751]) ).
fof(f10802,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| ~ latt_str(X0)
| join_of_latt_set(X0,X1) = meet(X0,join_of_latt_set(X0,X1),X2)
| ~ element(meet(X0,join_of_latt_set(X0,X1),X2),the_carrier(X0))
| ~ empty(X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0) ),
inference(forward_subsumption_resolution,[],[f10790,f216]) ).
fof(f10809,plain,
! [X2,X0,X1] :
( empty_carrier(X0)
| ~ latt_str(X0)
| join_of_latt_set(X0,X1) = meet(X0,join_of_latt_set(X0,X1),X2)
| ~ element(meet(X0,join_of_latt_set(X0,X1),X2),the_carrier(X0))
| ~ empty(X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ element(X2,the_carrier(X0))
| ~ meet_absorbing(X0) ),
inference(forward_subsumption_resolution,[],[f10802,f226]) ).
fof(f10814,plain,
! [X2,X0,X1] :
( join_of_latt_set(X0,X1) = meet(X0,join_of_latt_set(X0,X1),X2)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ element(meet(X0,join_of_latt_set(X0,X1),X2),the_carrier(X0))
| ~ empty(X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ element(X2,the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f10809,f224]) ).
fof(f11651,plain,
! [X0,X1] :
( join_of_latt_set(X0,X1) != join_of_latt_set(X0,X1)
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| ~ latt_str(X0)
| empty_carrier(X0)
| ~ element(meet(X0,join_of_latt_set(X0,X1),sK3(X0,join_of_latt_set(X0,X1))),the_carrier(X0))
| ~ empty(X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ element(sK3(X0,join_of_latt_set(X0,X1)),the_carrier(X0)) ),
inference(superposition,[],[f1537,f10814]) ).
fof(f11654,plain,
! [X0,X1] :
( join_of_latt_set(X0,X1) != join_of_latt_set(X0,X1)
| ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| ~ latt_str(X0)
| ~ element(meet(X0,join_of_latt_set(X0,X1),sK3(X0,join_of_latt_set(X0,X1))),the_carrier(X0))
| ~ empty(X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ element(sK3(X0,join_of_latt_set(X0,X1)),the_carrier(X0)) ),
inference(duplicate_literal_removal,[],[f11651]) ).
fof(f11655,plain,
! [X0,X1] :
( ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| ~ latt_str(X0)
| ~ element(meet(X0,join_of_latt_set(X0,X1),sK3(X0,join_of_latt_set(X0,X1))),the_carrier(X0))
| ~ empty(X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ element(sK3(X0,join_of_latt_set(X0,X1)),the_carrier(X0)) ),
inference(trivial_inequality_removal,[],[f11654]) ).
fof(f11736,plain,
! [X0,X1] :
( ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| ~ latt_str(X0)
| ~ empty(X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| ~ element(sK3(X0,join_of_latt_set(X0,X1)),the_carrier(X0)) ),
inference(forward_subsumption_resolution,[],[f11655,f238]) ).
fof(f11756,plain,
! [X0,X1] :
( ~ element(join_of_latt_set(X0,X1),the_carrier(X0))
| lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| ~ latt_str(X0)
| ~ empty(X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f11736,f205]) ).
fof(f11766,plain,
! [X0,X1] :
( lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ meet_commutative(X0)
| ~ latt_str(X0)
| ~ empty(X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f11756,f216]) ).
fof(f11769,plain,
! [X0,X1] :
( lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ meet_semilatt_str(X0)
| ~ latt_str(X0)
| ~ empty(X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f11766,f226]) ).
fof(f11770,plain,
! [X0,X1] :
( lower_bounded_semilattstr(X0)
| empty_carrier(X0)
| ~ latt_str(X0)
| ~ empty(X1)
| ~ lattice(X0)
| ~ complete_latt_str(X0) ),
inference(forward_subsumption_resolution,[],[f11769,f215]) ).
fof(f11772,definition,
( spl19_27
<=> ! [X1] : ~ empty(X1) ),
introduced(definition,[new_symbols(definition,[spl19_27])],[avatar_definition]) ).
fof(f11773,plain,
( ! [X1] : ~ empty(X1)
| ~ spl19_27 ),
inference(avatar_component_clause,[],[f11772]) ).
fof(f11775,definition,
( spl19_28
<=> ! [X0] :
( lower_bounded_semilattstr(X0)
| ~ complete_latt_str(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) ) ),
introduced(definition,[new_symbols(definition,[spl19_28])],[avatar_definition]) ).
fof(f11776,plain,
( ! [X0] :
( ~ complete_latt_str(X0)
| lower_bounded_semilattstr(X0)
| ~ lattice(X0)
| ~ latt_str(X0)
| empty_carrier(X0) )
| ~ spl19_28 ),
inference(avatar_component_clause,[],[f11775]) ).
fof(f11777,plain,
( spl19_27
| spl19_28 ),
inference(avatar_split_clause,[],[f11770,f11775,f11772]) ).
fof(f11778,plain,
( $false
| ~ spl19_27 ),
inference(resolution,[],[f11773,f231]) ).
fof(f11779,plain,
~ spl19_27,
inference(avatar_contradiction_clause,[],[f11778]) ).
fof(f11780,plain,
( lower_bounded_semilattstr(sK0)
| ~ lattice(sK0)
| ~ latt_str(sK0)
| empty_carrier(sK0)
| ~ spl19_28 ),
inference(resolution,[],[f11776,f181]) ).
fof(f11781,plain,
( ~ lattice(sK0)
| ~ latt_str(sK0)
| empty_carrier(sK0)
| spl19_2
| ~ spl19_28 ),
inference(forward_subsumption_resolution,[],[f11780,f304]) ).
fof(f11782,plain,
( ~ latt_str(sK0)
| empty_carrier(sK0)
| spl19_2
| ~ spl19_28 ),
inference(forward_subsumption_resolution,[],[f11781,f182]) ).
fof(f11783,plain,
( empty_carrier(sK0)
| spl19_2
| ~ spl19_28 ),
inference(forward_subsumption_resolution,[],[f11782,f180]) ).
fof(f11784,plain,
( $false
| spl19_2
| ~ spl19_28 ),
inference(forward_subsumption_resolution,[],[f11783,f183]) ).
fof(f11785,plain,
( spl19_2
| ~ spl19_28 ),
inference(avatar_contradiction_clause,[],[f11784]) ).
fof(f12005,plain,
( ~ empty(empty_set)
| ~ element(bottom_of_semilattstr(sK0),the_carrier(sK0))
| empty_carrier(sK0)
| ~ latt_str(sK0)
| spl19_3 ),
inference(resolution,[],[f552,f2435]) ).
fof(f12007,plain,
( ~ element(bottom_of_semilattstr(sK0),the_carrier(sK0))
| empty_carrier(sK0)
| ~ latt_str(sK0)
| spl19_3 ),
inference(forward_subsumption_resolution,[],[f12005,f231]) ).
fof(f12008,plain,
( ~ element(bottom_of_semilattstr(sK0),the_carrier(sK0))
| ~ latt_str(sK0)
| spl19_3 ),
inference(forward_subsumption_resolution,[],[f12007,f183]) ).
fof(f12009,plain,
( ~ element(bottom_of_semilattstr(sK0),the_carrier(sK0))
| spl19_3 ),
inference(forward_subsumption_resolution,[],[f12008,f180]) ).
fof(f12010,plain,
( empty_carrier(sK0)
| ~ meet_semilatt_str(sK0)
| spl19_3 ),
inference(resolution,[],[f12009,f230]) ).
fof(f12013,plain,
( ~ meet_semilatt_str(sK0)
| spl19_3 ),
inference(forward_subsumption_resolution,[],[f12010,f183]) ).
fof(f12014,plain,
( ~ latt_str(sK0)
| spl19_3 ),
inference(resolution,[],[f12013,f215]) ).
fof(f12015,plain,
( $false
| spl19_3 ),
inference(forward_subsumption_resolution,[],[f12014,f180]) ).
fof(f12016,plain,
spl19_3,
inference(avatar_contradiction_clause,[],[f12015]) ).
cnf(s1,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(sat_conversion,[],[f305]) ).
cnf(s2,plain,
( spl19_1
| ~ spl19_2
| ~ spl19_3 ),
inference(sat_conversion,[],[f553]) ).
cnf(s25,plain,
( spl19_27
| spl19_28 ),
inference(sat_conversion,[],[f11777]) ).
cnf(s26,plain,
~ spl19_27,
inference(sat_conversion,[],[f11779]) ).
cnf(s27,plain,
( spl19_2
| ~ spl19_28 ),
inference(sat_conversion,[],[f11785]) ).
cnf(s50,plain,
spl19_3,
inference(sat_conversion,[],[f12016]) ).
cnf(s51,plain,
spl19_28,
inference(rat,[],[s25,s26]) ).
cnf(s52,plain,
spl19_2,
inference(rat,[],[s27,s51]) ).
cnf(s57,plain,
spl19_1,
inference(rat,[],[s2,s50,s52]) ).
cnf(s58,plain,
$false,
inference(rat,[],[s1,s52,s57]) ).
fof(f12017,plain,
$false,
inference(avatar_sat_refutation,[],[s58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU352+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 04:52:17 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.64/2.87 % (1562954)Detected formulas, will run a generic FOF schedule.
% 12.64/2.87 % (1562961)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2229358808:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.64/2.87 % (1562960)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=923217907:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.64/2.87 % (1562959)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2770855055:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.64/2.87 % (1562963)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2746338667:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.64/2.87 % (1562962)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2509243636:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.64/2.87 % (1562964)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3830997247:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.64/2.87 % (1562965)dis-21_1_sil=8000:lcm=predicate:random_seed=900294244:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.64/2.87 % (1562962)Refutation not found, incomplete strategy
% 12.64/2.87 % (1562962)------------------------------
% 12.64/2.87 % (1562962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.87 % (1562962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.87 % (1562962)CaDiCaL version: 2.1.3
% 12.64/2.87 % (1562962)Termination reason: Refutation not found, incomplete strategy
% 12.64/2.87 % (1562962)Time elapsed: 0.002 s
% 12.64/2.87 % (1562962)Peak memory usage: 88 MB
% 12.64/2.87 % (1562962)Instructions burned: 1 (million)
% 12.64/2.87 % (1562963)Instruction limit reached!
% 12.64/2.87 % (1562963)------------------------------
% 12.64/2.87 % (1562963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.87 % (1562963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.87 % (1562963)CaDiCaL version: 2.1.3
% 12.64/2.87 % (1562963)Termination reason: Instruction limit
% 12.64/2.87 % (1562963)Termination phase: Saturation
% 12.64/2.87 % (1562963)Time elapsed: 0.067 s
% 12.64/2.87 % (1562963)Peak memory usage: 88 MB
% 12.64/2.87 % (1562963)Instructions burned: 119 (million)
% 12.64/2.87 % (1562965)Instruction limit reached!
% 12.64/2.87 % (1562965)------------------------------
% 12.64/2.87 % (1562965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.87 % (1562965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.87 % (1562965)CaDiCaL version: 2.1.3
% 12.64/2.87 % (1562965)Termination reason: Instruction limit
% 12.64/2.87 % (1562965)Termination phase: Saturation
% 12.64/2.87 % (1562965)Time elapsed: 0.071 s
% 12.64/2.87 % (1562965)Peak memory usage: 91 MB
% 12.64/2.87 % (1562965)Instructions burned: 129 (million)
% 12.64/2.87 % (1562964)Instruction limit reached!
% 12.64/2.87 % (1562964)------------------------------
% 12.64/2.87 % (1562964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.87 % (1562964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.87 % (1562964)CaDiCaL version: 2.1.3
% 12.64/2.87 % (1562964)Termination reason: Instruction limit
% 12.64/2.87 % (1562964)Termination phase: Saturation
% 12.64/2.87 % (1562964)Time elapsed: 0.084 s
% 12.64/2.87 % (1562964)Peak memory usage: 90 MB
% 12.64/2.87 % (1562964)Instructions burned: 139 (million)
% 12.64/2.87 % (1562974)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3319709744:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.64/2.87 % (1562973)lrs+10_1_sil=8000:sp=occurrence:random_seed=1856441692:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.64/2.87 % (1562974)Refutation not found, incomplete strategy
% 12.64/2.87 % (1562974)------------------------------
% 12.64/2.87 % (1562974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.64/2.87 % (1562974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.64/2.87 % (1562974)CaDiCaL version: 2.1.3
% 12.64/2.87 % (1562974)Termination reason: Refutation not found, incomplete strategy
% 21.34/3.93 % (1562974)Time elapsed: 0.003 s
% 21.34/3.93 % (1562974)Peak memory usage: 88 MB
% 21.34/3.93 % (1562974)Instructions burned: 3 (million)
% 21.34/3.93 % (1562975)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1941736503:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 21.34/3.93 % (1562962)------------------------------
% 21.34/3.93 % (1562962)------------------------------
% 21.34/3.93 % (1562973)Instruction limit reached!
% 21.34/3.93 % (1562973)------------------------------
% 21.34/3.93 % (1562973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.34/3.93 % (1562973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.34/3.93 % (1562973)CaDiCaL version: 2.1.3
% 21.34/3.93 % (1562973)Termination reason: Instruction limit
% 21.34/3.93 % (1562973)Termination phase: Saturation
% 21.34/3.93 % (1562973)Time elapsed: 0.162 s
% 21.34/3.93 % (1562973)Peak memory usage: 91 MB
% 21.34/3.93 % (1562973)Instructions burned: 286 (million)
% 21.34/3.93 % (1562979)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=26573481:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 21.34/3.93 % (1562975)Instruction limit reached!
% 21.34/3.93 % (1562975)------------------------------
% 21.34/3.93 % (1562975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.34/3.93 % (1562975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.34/3.93 % (1562975)CaDiCaL version: 2.1.3
% 21.34/3.93 % (1562975)Termination reason: Instruction limit
% 21.34/3.93 % (1562975)Termination phase: Saturation
% 21.34/3.93 % (1562975)Time elapsed: 0.192 s
% 21.34/3.93 % (1562975)Peak memory usage: 90 MB
% 21.34/3.93 % (1562975)Instructions burned: 327 (million)
% 21.34/3.93 % (1562974)------------------------------
% 21.34/3.93 % (1562974)------------------------------
% 21.34/3.93 % (1562980)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3512917136:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 21.34/3.93 % (1562980)Refutation not found, incomplete strategy
% 21.34/3.93 % (1562980)------------------------------
% 21.34/3.93 % (1562980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.34/3.93 % (1562980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.34/3.93 % (1562980)CaDiCaL version: 2.1.3
% 21.34/3.93 % (1562980)Termination reason: Refutation not found, incomplete strategy
% 21.34/3.93 % (1562980)Time elapsed: 0.004 s
% 21.34/3.93 % (1562980)Peak memory usage: 88 MB
% 21.34/3.93 % (1562980)Instructions burned: 4 (million)
% 21.34/3.93 % (1562979)Instruction limit reached!
% 21.34/3.93 % (1562979)------------------------------
% 21.34/3.93 % (1562979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.34/3.93 % (1562979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.34/3.93 % (1562979)CaDiCaL version: 2.1.3
% 21.34/3.93 % (1562979)Termination reason: Instruction limit
% 21.34/3.93 % (1562979)Termination phase: Saturation
% 21.34/3.93 % (1562979)Time elapsed: 0.133 s
% 21.34/3.93 % (1562979)Peak memory usage: 92 MB
% 21.34/3.93 % (1562979)Instructions burned: 249 (million)
% 21.34/3.93 % (1562982)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1009370911:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 21.34/3.93 % (1562983)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4108604110:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 21.34/3.93 % (1562983)Instruction limit reached!
% 21.34/3.93 % (1562983)------------------------------
% 21.34/3.93 % (1562983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.34/3.93 % (1562983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.34/3.93 % (1562983)CaDiCaL version: 2.1.3
% 21.34/3.93 % (1562983)Termination reason: Instruction limit
% 21.34/3.93 % (1562983)Termination phase: Saturation
% 21.34/3.93 % (1562983)Time elapsed: 0.075 s
% 21.34/3.93 % (1562983)Peak memory usage: 91 MB
% 21.34/3.93 % (1562983)Instructions burned: 114 (million)
% 21.34/3.93 % (1562985)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1013657727:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 21.34/3.93 % (1562980)------------------------------
% 21.34/3.93 % (1562980)------------------------------
% 21.34/3.93 % (1562985)Instruction limit reached!
% 21.34/3.93 % (1562985)------------------------------
% 21.34/3.93 % (1562985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.34/4.00 % (1562985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.34/4.00 % (1562985)CaDiCaL version: 2.1.3
% 21.34/4.00 % (1562985)Termination reason: Instruction limit
% 21.34/4.00 % (1562985)Termination phase: Saturation
% 21.34/4.00 % (1562985)Time elapsed: 0.066 s
% 21.34/4.00 % (1562985)Peak memory usage: 89 MB
% 21.34/4.00 % (1562985)Instructions burned: 127 (million)
% 21.34/4.00 % (1562988)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=264597581:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 21.34/4.00 % (1562990)lrs+10_1_sil=8000:sp=occurrence:random_seed=152403298:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 21.34/4.00 % (1562988)Instruction limit reached!
% 21.34/4.00 % (1562988)------------------------------
% 21.34/4.00 % (1562988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.34/4.00 % (1562988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.34/4.00 % (1562988)CaDiCaL version: 2.1.3
% 21.34/4.00 % (1562988)Termination reason: Instruction limit
% 21.34/4.00 % (1562988)Termination phase: Saturation
% 21.34/4.00 % (1562988)Time elapsed: 0.065 s
% 21.34/4.00 % (1562988)Peak memory usage: 89 MB
% 21.34/4.00 % (1562988)Instructions burned: 115 (million)
% 21.34/4.00 % (1562991)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=70706943:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 21.34/4.00 % (1562991)Refutation not found, incomplete strategy
% 21.34/4.00 % (1562991)------------------------------
% 21.34/4.00 % (1562991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.34/4.00 % (1562991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.34/4.00 % (1562991)CaDiCaL version: 2.1.3
% 21.34/4.00 % (1562991)Termination reason: Refutation not found, incomplete strategy
% 21.34/4.00 % (1562991)Time elapsed: 0.004 s
% 21.34/4.00 % (1562991)Peak memory usage: 88 MB
% 21.34/4.00 % (1562991)Instructions burned: 6 (million)
% 21.34/4.00 % (1562995)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1169359940:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 21.34/4.00 % (1562991)------------------------------
% 21.34/4.00 % (1562991)------------------------------
% 21.34/4.00 % (1562997)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2985970932:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 21.34/4.00 % (1562997)Instruction limit reached!
% 21.34/4.00 % (1562997)------------------------------
% 21.34/4.00 % (1562997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.34/4.00 % (1562997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.34/4.00 % (1562997)CaDiCaL version: 2.1.3
% 21.34/4.00 % (1562997)Termination reason: Instruction limit
% 21.34/4.00 % (1562997)Termination phase: Saturation
% 21.34/4.00 % (1562997)Time elapsed: 0.072 s
% 21.34/4.00 % (1562997)Peak memory usage: 91 MB
% 21.34/4.00 % (1562997)Instructions burned: 134 (million)
% 21.34/4.00 % (1562990)Instruction limit reached!
% 21.34/4.00 % (1562990)------------------------------
% 21.34/4.00 % (1562990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.34/4.00 % (1562990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.34/4.00 % (1562990)CaDiCaL version: 2.1.3
% 21.34/4.00 % (1562990)Termination reason: Instruction limit
% 21.34/4.00 % (1562990)Termination phase: Saturation
% 21.34/4.00 % (1562990)Time elapsed: 0.502 s
% 21.34/4.00 % (1562990)Peak memory usage: 99 MB
% 21.34/4.00 % (1562990)Instructions burned: 909 (million)
% 21.34/4.00 % (1562999)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=975842:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 21.34/4.00 % (1563000)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=512220849:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 21.34/4.00 % (1562999)Instruction limit reached!
% 21.34/4.00 % (1562999)------------------------------
% 21.34/4.00 % (1562999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.34/4.00 % (1562999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.34/4.00 % (1562999)CaDiCaL version: 2.1.3
% 21.34/4.00 % (1562999)Termination reason: Instruction limit
% 21.34/4.00 % (1562999)Termination phase: Saturation
% 21.34/4.00 % (1562999)Time elapsed: 0.240 s
% 21.34/4.00 % (1562999)Peak memory usage: 90 MB
% 21.34/4.00 % (1562999)Instructions burned: 593 (million)
% 21.34/4.00 % (1563003)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3985905910:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 21.34/4.00 % (1563003)Instruction limit reached!
% 21.34/4.00 % (1563003)------------------------------
% 21.34/4.00 % (1563003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.34/4.00 % (1563003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.34/4.00 % (1563003)CaDiCaL version: 2.1.3
% 21.34/4.00 % (1563003)Termination reason: Instruction limit
% 21.34/4.00 % (1563003)Termination phase: Saturation
% 21.34/4.00 % (1563003)Time elapsed: 0.077 s
% 21.34/4.00 % (1563003)Peak memory usage: 91 MB
% 21.34/4.00 % (1563003)Instructions burned: 127 (million)
% 21.34/4.00 % (1562982)Instruction limit reached!
% 21.34/4.00 % (1562982)------------------------------
% 21.34/4.00 % (1562982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.34/4.00 % (1562982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.34/4.00 % (1562982)CaDiCaL version: 2.1.3
% 21.34/4.00 % (1562982)Termination reason: Instruction limit
% 21.34/4.00 % (1562982)Termination phase: Saturation
% 21.34/4.00 % (1562982)Time elapsed: 1.483 s
% 21.34/4.00 % (1562982)Peak memory usage: 141 MB
% 21.34/4.00 % (1562982)Instructions burned: 2350 (million)
% 21.34/4.00 % (1563005)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1848424219:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 21.34/4.00 % (1563006)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2737752975:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 21.34/4.00 % (1563006)Refutation not found, incomplete strategy
% 21.34/4.00 % (1563006)------------------------------
% 21.34/4.00 % (1563006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.34/4.00 % (1563006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.34/4.00 % (1563006)CaDiCaL version: 2.1.3
% 21.34/4.00 % (1563006)Termination reason: Refutation not found, incomplete strategy
% 21.34/4.00 % (1563006)Time elapsed: 0.002 s
% 21.34/4.00 % (1563006)Peak memory usage: 88 MB
% 21.34/4.00 % (1563006)Instructions burned: 1 (million)
% 21.34/4.00 % (1563005)Instruction limit reached!
% 21.34/4.00 % (1563005)------------------------------
% 21.34/4.00 % (1563005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.34/4.00 % (1563005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.34/4.00 % (1563005)CaDiCaL version: 2.1.3
% 21.34/4.00 % (1563005)Termination reason: Instruction limit
% 21.34/4.00 % (1563005)Termination phase: Saturation
% 21.34/4.00 % (1563005)Time elapsed: 0.080 s
% 21.34/4.00 % (1563005)Peak memory usage: 90 MB
% 21.34/4.00 % (1563005)Instructions burned: 134 (million)
% 21.34/4.00 % (1563009)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=111215957:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 21.34/4.00 % (1563009)Refutation not found, incomplete strategy
% 21.34/4.00 % (1563009)------------------------------
% 21.34/4.00 % (1563009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.34/4.00 % (1563009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.34/4.00 % (1563009)CaDiCaL version: 2.1.3
% 21.34/4.00 % (1563009)Termination reason: Refutation not found, incomplete strategy
% 21.34/4.00 % (1563009)Time elapsed: 0.004 s
% 21.34/4.00 % (1563009)Peak memory usage: 89 MB
% 21.34/4.00 % (1563009)Instructions burned: 4 (million)
% 21.34/4.00 % (1563006)------------------------------
% 21.34/4.00 % (1563006)------------------------------
% 21.34/4.00 % (1563011)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2388462040:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 21.34/4.00 % (1562995)First to succeed.
% 21.34/4.00 % (1562995)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1562954"
% 21.34/4.00 % (1563009)------------------------------
% 21.34/4.00 % (1563009)------------------------------
% 21.34/4.00 % (1563013)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2906428308:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 21.34/4.00 % (1562995)Refutation found. Thanks to Tanya!
% 21.34/4.00 % SZS status Theorem for theBenchmark
% 21.34/4.00 % SZS output start Proof for theBenchmark
% See solution above
% 22.69/4.19 % (1562995)------------------------------
% 22.69/4.19 % (1562995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.69/4.19 % (1562995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.69/4.19 % (1562995)CaDiCaL version: 2.1.3
% 22.69/4.19 % (1562995)Termination reason: Refutation
% 22.69/4.19 % (1562995)Time elapsed: 1.555 s
% 22.69/4.19 % (1562995)Peak memory usage: 138 MB
% 22.69/4.19 % (1562995)Instructions burned: 2641 (million)
% 22.69/4.19 % (1562995)------------------------------
% 22.69/4.19 % (1562995)------------------------------
% 22.69/4.19 % (1562954)Success in time 3.126 s
% 22.69/4.19 % Vampire exiting
%------------------------------------------------------------------------------