%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU369+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:53:02 PM UTC 2026
% Result : Theorem 14.83s 5.22s
% Output : Refutation 14.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 18
% Syntax : Number of formulae : 161 ( 49 unt; 3 def)
% Number of atoms : 555 ( 48 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 674 ( 280 ~; 294 |; 70 &)
% ( 11 <=>; 18 =>; 0 <=; 1 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 159 ( 150 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( rel_str(X0)
=> ( strict_rel_str(X0)
=> X0 = rel_str_of(the_carrier(X0),the_InternalRel(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
fof(f21,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& latt_str(X0) )
=> poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_lattice3) ).
fof(f22,axiom,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_yellow_1) ).
fof(f23,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& latt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> cast_to_el_of_LattPOSet(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattice3) ).
fof(f28,axiom,
! [X0] :
( strict_latt_str(boole_lattice(X0))
& latt_str(boole_lattice(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice3) ).
fof(f36,axiom,
! [X0] :
( strict_rel_str(boole_POSet(X0))
& rel_str(boole_POSet(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(f49,axiom,
! [X0] :
( rel_str(X0)
=> relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f72,axiom,
! [X0] :
( ~ empty_carrier(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0))
& join_commutative(boole_lattice(X0))
& join_associative(boole_lattice(X0))
& meet_commutative(boole_lattice(X0))
& meet_associative(boole_lattice(X0))
& meet_absorbing(boole_lattice(X0))
& join_absorbing(boole_lattice(X0))
& lattice(boole_lattice(X0))
& distributive_lattstr(boole_lattice(X0))
& modular_lattstr(boole_lattice(X0))
& lower_bounded_semilattstr(boole_lattice(X0))
& upper_bounded_semilattstr(boole_lattice(X0))
& bounded_lattstr(boole_lattice(X0))
& complemented_lattstr(boole_lattice(X0))
& boolean_lattstr(boole_lattice(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_lattice3) ).
fof(f81,axiom,
! [X0] :
( ~ empty_carrier(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& complete_relstr(boole_POSet(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_yellow_1) ).
fof(f82,axiom,
! [X0,X1] :
( relation_of2(X1,X0,X0)
=> ! [X2,X3] :
( rel_str_of(X0,X1) = rel_str_of(X2,X3)
=> ( X0 = X2
& X1 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f105,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f106,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& meet_commutative(X0)
& meet_absorbing(X0)
& join_absorbing(X0)
& latt_str(X0)
& element(X1,the_carrier(X0))
& element(X2,the_carrier(X0)) )
=> ( below_refl(X0,X1,X2)
<=> below(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_lattices) ).
fof(f112,axiom,
! [X0,X1] :
( element(X1,the_carrier(boole_lattice(X0)))
=> ! [X2] :
( element(X2,the_carrier(boole_lattice(X0)))
=> ( below(boole_lattice(X0),X1,X2)
<=> subset(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_lattice3) ).
fof(f114,conjecture,
! [X0,X1] :
( element(X1,the_carrier(boole_POSet(X0)))
=> ! [X2] :
( element(X2,the_carrier(boole_POSet(X0)))
=> ( related_reflexive(boole_POSet(X0),X1,X2)
<=> subset(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_yellow_1) ).
fof(f115,negated_conjecture,
~ ! [X0,X1] :
( element(X1,the_carrier(boole_POSet(X0)))
=> ! [X2] :
( element(X2,the_carrier(boole_POSet(X0)))
=> ( related_reflexive(boole_POSet(X0),X1,X2)
<=> subset(X1,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f114]) ).
fof(f121,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& latt_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( below_refl(X0,X1,X2)
<=> related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_lattice3) ).
fof(f127,plain,
! [X0] :
( ~ empty_carrier(boole_lattice(X0))
& strict_latt_str(boole_lattice(X0))
& join_commutative(boole_lattice(X0))
& join_associative(boole_lattice(X0))
& meet_commutative(boole_lattice(X0))
& meet_associative(boole_lattice(X0))
& meet_absorbing(boole_lattice(X0))
& join_absorbing(boole_lattice(X0))
& lattice(boole_lattice(X0))
& distributive_lattstr(boole_lattice(X0))
& lower_bounded_semilattstr(boole_lattice(X0))
& upper_bounded_semilattstr(boole_lattice(X0))
& bounded_lattstr(boole_lattice(X0))
& complemented_lattstr(boole_lattice(X0))
& boolean_lattstr(boole_lattice(X0)) ),
inference(pure_predicate_removal,[],[f72]) ).
fof(f132,plain,
! [X0] :
( X0 = rel_str_of(the_carrier(X0),the_InternalRel(X0))
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f133,plain,
! [X0] :
( X0 = rel_str_of(the_carrier(X0),the_InternalRel(X0))
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f132]) ).
fof(f167,plain,
! [X0] :
( poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f168,plain,
! [X0] :
( poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f167]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f169]) ).
fof(f187,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f212,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X0 = X2
& X1 = X3 )
| rel_str_of(X0,X1) != rel_str_of(X2,X3) )
| ~ relation_of2(X1,X0,X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f220,plain,
! [X0,X1,X2] :
( ( below_refl(X0,X1,X2)
<=> below(X0,X1,X2) )
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ join_absorbing(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(ennf_transformation,[],[f106]) ).
fof(f221,plain,
! [X0,X1,X2] :
( ( below_refl(X0,X1,X2)
<=> below(X0,X1,X2) )
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ join_absorbing(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(flattening,[],[f220]) ).
fof(f229,plain,
! [X0,X1] :
( ! [X2] :
( ( below(boole_lattice(X0),X1,X2)
<=> subset(X1,X2) )
| ~ element(X2,the_carrier(boole_lattice(X0))) )
| ~ element(X1,the_carrier(boole_lattice(X0))) ),
inference(ennf_transformation,[],[f112]) ).
fof(f232,plain,
? [X0,X1] :
( ? [X2] :
( ( related_reflexive(boole_POSet(X0),X1,X2)
<~> subset(X1,X2) )
& element(X2,the_carrier(boole_POSet(X0))) )
& element(X1,the_carrier(boole_POSet(X0))) ),
inference(ennf_transformation,[],[f115]) ).
fof(f238,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below_refl(X0,X1,X2)
<=> related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f121]) ).
fof(f239,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( below_refl(X0,X1,X2)
<=> related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f238]) ).
fof(f276,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f277,plain,
! [X0,X1,X2] :
( ( ( below_refl(X0,X1,X2)
| ~ below(X0,X1,X2) )
& ( below(X0,X1,X2)
| ~ below_refl(X0,X1,X2) ) )
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ join_absorbing(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(nnf_transformation,[],[f221]) ).
fof(f279,plain,
! [X0,X1] :
( ! [X2] :
( ( ( below(boole_lattice(X0),X1,X2)
| ~ subset(X1,X2) )
& ( subset(X1,X2)
| ~ below(boole_lattice(X0),X1,X2) ) )
| ~ element(X2,the_carrier(boole_lattice(X0))) )
| ~ element(X1,the_carrier(boole_lattice(X0))) ),
inference(nnf_transformation,[],[f229]) ).
fof(f280,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ subset(X1,X2)
| ~ related_reflexive(boole_POSet(X0),X1,X2) )
& ( subset(X1,X2)
| related_reflexive(boole_POSet(X0),X1,X2) )
& element(X2,the_carrier(boole_POSet(X0))) )
& element(X1,the_carrier(boole_POSet(X0))) ),
inference(nnf_transformation,[],[f232]) ).
fof(f281,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ subset(X1,X2)
| ~ related_reflexive(boole_POSet(X0),X1,X2) )
& ( subset(X1,X2)
| related_reflexive(boole_POSet(X0),X1,X2) )
& element(X2,the_carrier(boole_POSet(X0))) )
& element(X1,the_carrier(boole_POSet(X0))) ),
inference(flattening,[],[f280]) ).
fof(f282,plain,
( ( ~ subset(sK31,sK32)
| ~ related_reflexive(boole_POSet(sK30),sK31,sK32) )
& ( subset(sK31,sK32)
| related_reflexive(boole_POSet(sK30),sK31,sK32) )
& element(sK32,the_carrier(boole_POSet(sK30)))
& element(sK31,the_carrier(boole_POSet(sK30))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30,sK31,sK32]),skolemize(X0,sK30),skolemize(X1,sK31),skolemize(X2,sK32)],[f281]) ).
fof(f284,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( below_refl(X0,X1,X2)
| ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2)) )
& ( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
| ~ below_refl(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(nnf_transformation,[],[f239]) ).
fof(f285,plain,
! [X0] :
( ~ strict_rel_str(X0)
| rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f346,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| poset_of_lattice(X0) = rel_str_of(the_carrier(X0),k2_lattice3(X0))
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f347,plain,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f348,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(X0))
| cast_to_el_of_LattPOSet(X0,X1) = X1
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f356,plain,
! [X0] : latt_str(boole_lattice(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f368,plain,
! [X0] : rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f380,plain,
! [X0] :
( relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f453,plain,
! [X0] : lattice(boole_lattice(X0)),
inference(cnf_transformation,[],[f127]) ).
fof(f454,plain,
! [X0] : join_absorbing(boole_lattice(X0)),
inference(cnf_transformation,[],[f127]) ).
fof(f455,plain,
! [X0] : meet_absorbing(boole_lattice(X0)),
inference(cnf_transformation,[],[f127]) ).
fof(f457,plain,
! [X0] : meet_commutative(boole_lattice(X0)),
inference(cnf_transformation,[],[f127]) ).
fof(f461,plain,
! [X0] : ~ empty_carrier(boole_lattice(X0)),
inference(cnf_transformation,[],[f127]) ).
fof(f509,plain,
! [X0] : strict_rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f81]) ).
fof(f512,plain,
! [X2,X3,X0,X1] :
( rel_str_of(X0,X1) != rel_str_of(X2,X3)
| X0 = X2
| ~ relation_of2(X1,X0,X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f645,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f276]) ).
fof(f647,plain,
! [X2,X0,X1] :
( ~ below_refl(X0,X1,X2)
| below(X0,X1,X2)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ join_absorbing(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f277]) ).
fof(f648,plain,
! [X2,X0,X1] :
( ~ below(X0,X1,X2)
| below_refl(X0,X1,X2)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| ~ join_absorbing(X0)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f277]) ).
fof(f655,plain,
! [X2,X0,X1] :
( ~ below(boole_lattice(X0),X1,X2)
| subset(X1,X2)
| ~ element(X2,the_carrier(boole_lattice(X0)))
| ~ element(X1,the_carrier(boole_lattice(X0))) ),
inference(cnf_transformation,[],[f279]) ).
fof(f656,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(boole_lattice(X0)))
| ~ subset(X1,X2)
| below(boole_lattice(X0),X1,X2)
| ~ element(X1,the_carrier(boole_lattice(X0))) ),
inference(cnf_transformation,[],[f279]) ).
fof(f658,plain,
element(sK31,the_carrier(boole_POSet(sK30))),
inference(cnf_transformation,[],[f282]) ).
fof(f659,plain,
element(sK32,the_carrier(boole_POSet(sK30))),
inference(cnf_transformation,[],[f282]) ).
fof(f660,plain,
( subset(sK31,sK32)
| related_reflexive(boole_POSet(sK30),sK31,sK32) ),
inference(cnf_transformation,[],[f282]) ).
fof(f661,plain,
( ~ subset(sK31,sK32)
| ~ related_reflexive(boole_POSet(sK30),sK31,sK32) ),
inference(cnf_transformation,[],[f282]) ).
fof(f668,plain,
! [X2,X0,X1] :
( related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
| ~ below_refl(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f669,plain,
! [X2,X0,X1] :
( ~ related_reflexive(poset_of_lattice(X0),cast_to_el_of_LattPOSet(X0,X1),cast_to_el_of_LattPOSet(X0,X2))
| below_refl(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f674,plain,
! [X0] : rel_str(poset_of_lattice(boole_lattice(X0))),
inference(definition_unfolding,[],[f368,f347]) ).
fof(f681,plain,
! [X0] : strict_rel_str(poset_of_lattice(boole_lattice(X0))),
inference(definition_unfolding,[],[f509,f347]) ).
fof(f691,plain,
( ~ subset(sK31,sK32)
| ~ related_reflexive(poset_of_lattice(boole_lattice(sK30)),sK31,sK32) ),
inference(definition_unfolding,[],[f661,f347]) ).
fof(f692,plain,
( subset(sK31,sK32)
| related_reflexive(poset_of_lattice(boole_lattice(sK30)),sK31,sK32) ),
inference(definition_unfolding,[],[f660,f347]) ).
fof(f693,plain,
element(sK32,the_carrier(poset_of_lattice(boole_lattice(sK30)))),
inference(definition_unfolding,[],[f659,f347]) ).
fof(f694,plain,
element(sK31,the_carrier(poset_of_lattice(boole_lattice(sK30)))),
inference(definition_unfolding,[],[f658,f347]) ).
fof(f695,definition,
sF33 = boole_lattice(sK30),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f696,plain,
boole_lattice(sK30) = sF33,
inference(reorient_equations,[],[f695]) ).
fof(f697,definition,
sF34 = poset_of_lattice(sF33),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f698,plain,
poset_of_lattice(sF33) = sF34,
inference(reorient_equations,[],[f697]) ).
fof(f699,plain,
( ~ related_reflexive(sF34,sK31,sK32)
| ~ subset(sK31,sK32) ),
inference(definition_folding,[],[f691,f698,f696]) ).
fof(f700,plain,
( related_reflexive(sF34,sK31,sK32)
| subset(sK31,sK32) ),
inference(definition_folding,[],[f692,f698,f696]) ).
fof(f701,definition,
sF35 = the_carrier(sF34),
introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).
fof(f702,plain,
the_carrier(sF34) = sF35,
inference(reorient_equations,[],[f701]) ).
fof(f703,plain,
element(sK32,sF35),
inference(definition_folding,[],[f693,f702,f698,f696]) ).
fof(f704,plain,
element(sK31,sF35),
inference(definition_folding,[],[f694,f702,f698,f696]) ).
fof(f744,plain,
latt_str(sF33),
inference(superposition,[],[f356,f696]) ).
fof(f752,plain,
lattice(sF33),
inference(superposition,[],[f453,f696]) ).
fof(f753,plain,
join_absorbing(sF33),
inference(superposition,[],[f454,f696]) ).
fof(f754,plain,
meet_absorbing(sF33),
inference(superposition,[],[f455,f696]) ).
fof(f756,plain,
meet_commutative(sF33),
inference(superposition,[],[f457,f696]) ).
fof(f760,plain,
~ empty_carrier(sF33),
inference(superposition,[],[f461,f696]) ).
fof(f761,plain,
rel_str(poset_of_lattice(sF33)),
inference(superposition,[],[f674,f696]) ).
fof(f763,plain,
strict_rel_str(poset_of_lattice(sF33)),
inference(superposition,[],[f681,f696]) ).
fof(f782,plain,
strict_rel_str(sF34),
inference(forward_demodulation,[],[f763,f698]) ).
fof(f784,plain,
rel_str(sF34),
inference(forward_demodulation,[],[f761,f698]) ).
fof(f991,plain,
( relation_of2_as_subset(the_InternalRel(sF34),sF35,sF35)
| ~ rel_str(sF34) ),
inference(superposition,[],[f380,f702]) ).
fof(f992,plain,
relation_of2_as_subset(the_InternalRel(sF34),sF35,sF35),
inference(forward_subsumption_resolution,[],[f991,f784]) ).
fof(f1072,plain,
relation_of2(the_InternalRel(sF34),sF35,sF35),
inference(resolution,[],[f992,f645]) ).
fof(f1147,plain,
( sF34 = rel_str_of(the_carrier(sF34),the_InternalRel(sF34))
| ~ rel_str(sF34) ),
inference(resolution,[],[f285,f782]) ).
fof(f1148,plain,
sF34 = rel_str_of(the_carrier(sF34),the_InternalRel(sF34)),
inference(forward_subsumption_resolution,[],[f1147,f784]) ).
fof(f1157,plain,
sF34 = rel_str_of(sF35,the_InternalRel(sF34)),
inference(forward_demodulation,[],[f1148,f702]) ).
fof(f1273,plain,
( empty_carrier(sF33)
| poset_of_lattice(sF33) = rel_str_of(the_carrier(sF33),k2_lattice3(sF33))
| ~ latt_str(sF33) ),
inference(resolution,[],[f346,f752]) ).
fof(f1274,plain,
( poset_of_lattice(sF33) = rel_str_of(the_carrier(sF33),k2_lattice3(sF33))
| ~ latt_str(sF33) ),
inference(forward_subsumption_resolution,[],[f1273,f760]) ).
fof(f1281,plain,
poset_of_lattice(sF33) = rel_str_of(the_carrier(sF33),k2_lattice3(sF33)),
inference(forward_subsumption_resolution,[],[f1274,f744]) ).
fof(f1288,plain,
sF34 = rel_str_of(the_carrier(sF33),k2_lattice3(sF33)),
inference(forward_demodulation,[],[f1281,f698]) ).
fof(f1294,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sF34
| sF35 = X0
| ~ relation_of2(the_InternalRel(sF34),sF35,sF35) ),
inference(superposition,[],[f512,f1157]) ).
fof(f1297,plain,
! [X0,X1] :
( rel_str_of(X0,X1) != sF34
| sF35 = X0 ),
inference(forward_subsumption_resolution,[],[f1294,f1072]) ).
fof(f1390,plain,
! [X0,X1] :
( ~ below(sF33,X0,X1)
| subset(X0,X1)
| ~ element(X1,the_carrier(sF33))
| ~ element(X0,the_carrier(sF33)) ),
inference(superposition,[],[f655,f696]) ).
fof(f1396,plain,
! [X0,X1] :
( ~ element(X1,the_carrier(sF33))
| ~ subset(X1,X0)
| below(sF33,X1,X0)
| ~ element(X0,the_carrier(sF33)) ),
inference(superposition,[],[f656,f696]) ).
fof(f1445,plain,
! [X0,X1] :
( related_reflexive(sF34,cast_to_el_of_LattPOSet(sF33,X0),cast_to_el_of_LattPOSet(sF33,X1))
| ~ below_refl(sF33,X0,X1)
| ~ element(X1,the_carrier(sF33))
| ~ element(X0,the_carrier(sF33))
| empty_carrier(sF33)
| ~ lattice(sF33)
| ~ latt_str(sF33) ),
inference(superposition,[],[f668,f698]) ).
fof(f1446,plain,
! [X0,X1] :
( related_reflexive(sF34,cast_to_el_of_LattPOSet(sF33,X0),cast_to_el_of_LattPOSet(sF33,X1))
| ~ below_refl(sF33,X0,X1)
| ~ element(X1,the_carrier(sF33))
| ~ element(X0,the_carrier(sF33))
| ~ lattice(sF33)
| ~ latt_str(sF33) ),
inference(forward_subsumption_resolution,[],[f1445,f760]) ).
fof(f1448,plain,
! [X0,X1] :
( related_reflexive(sF34,cast_to_el_of_LattPOSet(sF33,X0),cast_to_el_of_LattPOSet(sF33,X1))
| ~ below_refl(sF33,X0,X1)
| ~ element(X1,the_carrier(sF33))
| ~ element(X0,the_carrier(sF33))
| ~ latt_str(sF33) ),
inference(forward_subsumption_resolution,[],[f1446,f752]) ).
fof(f1450,plain,
! [X0,X1] :
( related_reflexive(sF34,cast_to_el_of_LattPOSet(sF33,X0),cast_to_el_of_LattPOSet(sF33,X1))
| ~ below_refl(sF33,X0,X1)
| ~ element(X1,the_carrier(sF33))
| ~ element(X0,the_carrier(sF33)) ),
inference(forward_subsumption_resolution,[],[f1448,f744]) ).
fof(f1456,plain,
! [X0,X1] :
( ~ related_reflexive(sF34,cast_to_el_of_LattPOSet(sF33,X0),cast_to_el_of_LattPOSet(sF33,X1))
| below_refl(sF33,X0,X1)
| ~ element(X1,the_carrier(sF33))
| ~ element(X0,the_carrier(sF33))
| empty_carrier(sF33)
| ~ lattice(sF33)
| ~ latt_str(sF33) ),
inference(superposition,[],[f669,f698]) ).
fof(f1458,plain,
! [X0,X1] :
( ~ related_reflexive(sF34,cast_to_el_of_LattPOSet(sF33,X0),cast_to_el_of_LattPOSet(sF33,X1))
| below_refl(sF33,X0,X1)
| ~ element(X1,the_carrier(sF33))
| ~ element(X0,the_carrier(sF33))
| ~ lattice(sF33)
| ~ latt_str(sF33) ),
inference(forward_subsumption_resolution,[],[f1456,f760]) ).
fof(f1459,plain,
! [X0,X1] :
( ~ related_reflexive(sF34,cast_to_el_of_LattPOSet(sF33,X0),cast_to_el_of_LattPOSet(sF33,X1))
| below_refl(sF33,X0,X1)
| ~ element(X1,the_carrier(sF33))
| ~ element(X0,the_carrier(sF33))
| ~ latt_str(sF33) ),
inference(forward_subsumption_resolution,[],[f1458,f752]) ).
fof(f1460,plain,
! [X0,X1] :
( ~ related_reflexive(sF34,cast_to_el_of_LattPOSet(sF33,X0),cast_to_el_of_LattPOSet(sF33,X1))
| below_refl(sF33,X0,X1)
| ~ element(X1,the_carrier(sF33))
| ~ element(X0,the_carrier(sF33)) ),
inference(forward_subsumption_resolution,[],[f1459,f744]) ).
fof(f1535,plain,
( sF34 != sF34
| sF35 = the_carrier(sF33) ),
inference(superposition,[],[f1297,f1288]) ).
fof(f1536,plain,
sF35 = the_carrier(sF33),
inference(trivial_inequality_removal,[],[f1535]) ).
fof(f1544,plain,
! [X0] :
( ~ element(X0,sF35)
| cast_to_el_of_LattPOSet(sF33,X0) = X0
| empty_carrier(sF33)
| ~ lattice(sF33)
| ~ latt_str(sF33) ),
inference(superposition,[],[f348,f1536]) ).
fof(f1568,plain,
! [X0] :
( ~ element(X0,sF35)
| cast_to_el_of_LattPOSet(sF33,X0) = X0
| ~ lattice(sF33)
| ~ latt_str(sF33) ),
inference(forward_subsumption_resolution,[],[f1544,f760]) ).
fof(f1574,plain,
! [X0] :
( ~ element(X0,sF35)
| cast_to_el_of_LattPOSet(sF33,X0) = X0
| ~ latt_str(sF33) ),
inference(forward_subsumption_resolution,[],[f1568,f752]) ).
fof(f1578,plain,
! [X0] :
( ~ element(X0,sF35)
| cast_to_el_of_LattPOSet(sF33,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f1574,f744]) ).
fof(f2512,plain,
sK31 = cast_to_el_of_LattPOSet(sF33,sK31),
inference(resolution,[],[f1578,f704]) ).
fof(f2513,plain,
sK32 = cast_to_el_of_LattPOSet(sF33,sK32),
inference(resolution,[],[f1578,f703]) ).
fof(f2522,plain,
! [X0] :
( related_reflexive(sF34,sK31,cast_to_el_of_LattPOSet(sF33,X0))
| ~ below_refl(sF33,sK31,X0)
| ~ element(X0,the_carrier(sF33))
| ~ element(sK31,the_carrier(sF33)) ),
inference(superposition,[],[f1450,f2512]) ).
fof(f2524,plain,
! [X0] :
( ~ related_reflexive(sF34,sK31,cast_to_el_of_LattPOSet(sF33,X0))
| below_refl(sF33,sK31,X0)
| ~ element(X0,the_carrier(sF33))
| ~ element(sK31,the_carrier(sF33)) ),
inference(superposition,[],[f1460,f2512]) ).
fof(f2548,plain,
! [X0] :
( ~ element(X0,sF35)
| ~ related_reflexive(sF34,sK31,cast_to_el_of_LattPOSet(sF33,X0))
| below_refl(sF33,sK31,X0)
| ~ element(sK31,the_carrier(sF33)) ),
inference(forward_demodulation,[],[f2524,f1536]) ).
fof(f2550,plain,
! [X0] :
( ~ element(X0,sF35)
| related_reflexive(sF34,sK31,cast_to_el_of_LattPOSet(sF33,X0))
| ~ below_refl(sF33,sK31,X0)
| ~ element(sK31,the_carrier(sF33)) ),
inference(forward_demodulation,[],[f2522,f1536]) ).
fof(f2560,plain,
! [X0] :
( ~ element(sK31,sF35)
| ~ element(X0,sF35)
| ~ related_reflexive(sF34,sK31,cast_to_el_of_LattPOSet(sF33,X0))
| below_refl(sF33,sK31,X0) ),
inference(forward_demodulation,[],[f2548,f1536]) ).
fof(f2562,plain,
! [X0] :
( ~ element(sK31,sF35)
| ~ element(X0,sF35)
| related_reflexive(sF34,sK31,cast_to_el_of_LattPOSet(sF33,X0))
| ~ below_refl(sF33,sK31,X0) ),
inference(forward_demodulation,[],[f2550,f1536]) ).
fof(f2572,plain,
! [X0] :
( ~ related_reflexive(sF34,sK31,cast_to_el_of_LattPOSet(sF33,X0))
| ~ element(X0,sF35)
| below_refl(sF33,sK31,X0) ),
inference(forward_subsumption_resolution,[],[f2560,f704]) ).
fof(f2574,plain,
! [X0] :
( related_reflexive(sF34,sK31,cast_to_el_of_LattPOSet(sF33,X0))
| ~ element(X0,sF35)
| ~ below_refl(sF33,sK31,X0) ),
inference(forward_subsumption_resolution,[],[f2562,f704]) ).
fof(f2827,plain,
( ~ related_reflexive(sF34,sK31,sK32)
| ~ element(sK32,sF35)
| below_refl(sF33,sK31,sK32) ),
inference(superposition,[],[f2572,f2513]) ).
fof(f2828,plain,
( ~ related_reflexive(sF34,sK31,sK32)
| below_refl(sF33,sK31,sK32) ),
inference(forward_subsumption_resolution,[],[f2827,f703]) ).
fof(f2870,plain,
( below_refl(sF33,sK31,sK32)
| subset(sK31,sK32) ),
inference(resolution,[],[f2828,f700]) ).
fof(f2911,plain,
( subset(sK31,sK32)
| below(sF33,sK31,sK32)
| empty_carrier(sF33)
| ~ meet_commutative(sF33)
| ~ meet_absorbing(sF33)
| ~ join_absorbing(sF33)
| ~ latt_str(sF33)
| ~ element(sK31,the_carrier(sF33))
| ~ element(sK32,the_carrier(sF33)) ),
inference(resolution,[],[f2870,f647]) ).
fof(f2912,plain,
( below(sF33,sK31,sK32)
| empty_carrier(sF33)
| ~ meet_commutative(sF33)
| ~ meet_absorbing(sF33)
| ~ join_absorbing(sF33)
| ~ latt_str(sF33)
| ~ element(sK31,the_carrier(sF33))
| ~ element(sK32,the_carrier(sF33)) ),
inference(forward_subsumption_resolution,[],[f2911,f1396]) ).
fof(f2913,plain,
( below(sF33,sK31,sK32)
| ~ meet_commutative(sF33)
| ~ meet_absorbing(sF33)
| ~ join_absorbing(sF33)
| ~ latt_str(sF33)
| ~ element(sK31,the_carrier(sF33))
| ~ element(sK32,the_carrier(sF33)) ),
inference(forward_subsumption_resolution,[],[f2912,f760]) ).
fof(f2914,plain,
( below(sF33,sK31,sK32)
| ~ meet_absorbing(sF33)
| ~ join_absorbing(sF33)
| ~ latt_str(sF33)
| ~ element(sK31,the_carrier(sF33))
| ~ element(sK32,the_carrier(sF33)) ),
inference(forward_subsumption_resolution,[],[f2913,f756]) ).
fof(f2915,plain,
( below(sF33,sK31,sK32)
| ~ join_absorbing(sF33)
| ~ latt_str(sF33)
| ~ element(sK31,the_carrier(sF33))
| ~ element(sK32,the_carrier(sF33)) ),
inference(forward_subsumption_resolution,[],[f2914,f754]) ).
fof(f2916,plain,
( below(sF33,sK31,sK32)
| ~ latt_str(sF33)
| ~ element(sK31,the_carrier(sF33))
| ~ element(sK32,the_carrier(sF33)) ),
inference(forward_subsumption_resolution,[],[f2915,f753]) ).
fof(f2917,plain,
( below(sF33,sK31,sK32)
| ~ element(sK31,the_carrier(sF33))
| ~ element(sK32,the_carrier(sF33)) ),
inference(forward_subsumption_resolution,[],[f2916,f744]) ).
fof(f2918,plain,
( ~ element(sK31,sF35)
| below(sF33,sK31,sK32)
| ~ element(sK32,the_carrier(sF33)) ),
inference(forward_demodulation,[],[f2917,f1536]) ).
fof(f2919,plain,
( below(sF33,sK31,sK32)
| ~ element(sK32,the_carrier(sF33)) ),
inference(forward_subsumption_resolution,[],[f2918,f704]) ).
fof(f2920,plain,
( ~ element(sK32,sF35)
| below(sF33,sK31,sK32) ),
inference(forward_demodulation,[],[f2919,f1536]) ).
fof(f2921,plain,
below(sF33,sK31,sK32),
inference(forward_subsumption_resolution,[],[f2920,f703]) ).
fof(f2950,plain,
( below_refl(sF33,sK31,sK32)
| empty_carrier(sF33)
| ~ meet_commutative(sF33)
| ~ meet_absorbing(sF33)
| ~ join_absorbing(sF33)
| ~ latt_str(sF33)
| ~ element(sK31,the_carrier(sF33))
| ~ element(sK32,the_carrier(sF33)) ),
inference(resolution,[],[f2921,f648]) ).
fof(f2951,plain,
( subset(sK31,sK32)
| ~ element(sK32,the_carrier(sF33))
| ~ element(sK31,the_carrier(sF33)) ),
inference(resolution,[],[f2921,f1390]) ).
fof(f2952,plain,
( ~ element(sK32,sF35)
| subset(sK31,sK32)
| ~ element(sK31,the_carrier(sF33)) ),
inference(forward_demodulation,[],[f2951,f1536]) ).
fof(f2953,plain,
( below_refl(sF33,sK31,sK32)
| ~ meet_commutative(sF33)
| ~ meet_absorbing(sF33)
| ~ join_absorbing(sF33)
| ~ latt_str(sF33)
| ~ element(sK31,the_carrier(sF33))
| ~ element(sK32,the_carrier(sF33)) ),
inference(forward_subsumption_resolution,[],[f2950,f760]) ).
fof(f2954,plain,
( subset(sK31,sK32)
| ~ element(sK31,the_carrier(sF33)) ),
inference(forward_subsumption_resolution,[],[f2952,f703]) ).
fof(f2955,plain,
( below_refl(sF33,sK31,sK32)
| ~ meet_absorbing(sF33)
| ~ join_absorbing(sF33)
| ~ latt_str(sF33)
| ~ element(sK31,the_carrier(sF33))
| ~ element(sK32,the_carrier(sF33)) ),
inference(forward_subsumption_resolution,[],[f2953,f756]) ).
fof(f2956,plain,
( ~ element(sK31,sF35)
| subset(sK31,sK32) ),
inference(forward_demodulation,[],[f2954,f1536]) ).
fof(f2957,plain,
( below_refl(sF33,sK31,sK32)
| ~ join_absorbing(sF33)
| ~ latt_str(sF33)
| ~ element(sK31,the_carrier(sF33))
| ~ element(sK32,the_carrier(sF33)) ),
inference(forward_subsumption_resolution,[],[f2955,f754]) ).
fof(f2958,plain,
subset(sK31,sK32),
inference(forward_subsumption_resolution,[],[f2956,f704]) ).
fof(f2959,plain,
( below_refl(sF33,sK31,sK32)
| ~ latt_str(sF33)
| ~ element(sK31,the_carrier(sF33))
| ~ element(sK32,the_carrier(sF33)) ),
inference(forward_subsumption_resolution,[],[f2957,f753]) ).
fof(f2960,plain,
( below_refl(sF33,sK31,sK32)
| ~ element(sK31,the_carrier(sF33))
| ~ element(sK32,the_carrier(sF33)) ),
inference(forward_subsumption_resolution,[],[f2959,f744]) ).
fof(f2961,plain,
( ~ element(sK31,sF35)
| below_refl(sF33,sK31,sK32)
| ~ element(sK32,the_carrier(sF33)) ),
inference(forward_demodulation,[],[f2960,f1536]) ).
fof(f2962,plain,
( below_refl(sF33,sK31,sK32)
| ~ element(sK32,the_carrier(sF33)) ),
inference(forward_subsumption_resolution,[],[f2961,f704]) ).
fof(f2963,plain,
( ~ element(sK32,sF35)
| below_refl(sF33,sK31,sK32) ),
inference(forward_demodulation,[],[f2962,f1536]) ).
fof(f2964,plain,
below_refl(sF33,sK31,sK32),
inference(forward_subsumption_resolution,[],[f2963,f703]) ).
fof(f3124,plain,
( related_reflexive(sF34,sK31,sK32)
| ~ element(sK32,sF35)
| ~ below_refl(sF33,sK31,sK32) ),
inference(superposition,[],[f2574,f2513]) ).
fof(f3126,plain,
( related_reflexive(sF34,sK31,sK32)
| ~ below_refl(sF33,sK31,sK32) ),
inference(forward_subsumption_resolution,[],[f3124,f703]) ).
fof(f3128,plain,
related_reflexive(sF34,sK31,sK32),
inference(forward_subsumption_resolution,[],[f3126,f2964]) ).
fof(f3130,plain,
~ subset(sK31,sK32),
inference(resolution,[],[f3128,f699]) ).
fof(f3133,plain,
$false,
inference(forward_subsumption_resolution,[],[f3130,f2958]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU369+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 05:04:14 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.23/4.46 % (33388)Will run a generic schedule for satisfiability detection.
% 28.23/4.46 % (33393)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=769026307_2999 on theBenchmark for (2999ds/0Mi)
% 28.23/4.46 % (33396)dis+10_1_sil=32000:sp=arity:random_seed=3739973031:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 28.23/4.46 % (33395)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2721525687:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 28.23/4.46 % (33397)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=128071356:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 28.23/4.46 % (33398)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=227165801:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 28.23/4.46 % (33399)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2142737917:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 28.23/4.46 % (33394)% WARNING: option uhcvi not known.
% 28.23/4.46 % (33394)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1015407346:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 28.23/4.46 % TRYING [1]
% 28.23/4.46 % TRYING [2]
% 28.23/4.46 % TRYING [3]
% 28.23/4.46 % TRYING [4]
% 28.23/4.46 % (33396)Instruction limit reached!
% 28.23/4.46 % (33396)------------------------------
% 28.23/4.46 % (33396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.23/4.46 % (33396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/4.46 % (33396)CaDiCaL version: 2.1.3
% 28.23/4.46 % (33396)Termination reason: Instruction limit
% 28.23/4.46 % (33396)Termination phase: Saturation
% 28.23/4.46 % (33396)Time elapsed: 0.066 s
% 28.23/4.46 % (33396)Peak memory usage: 13 MB
% 28.23/4.46 % (33396)Instructions burned: 103 (million)
% 28.23/4.46 % (33397)Instruction limit reached!
% 28.23/4.46 % (33397)------------------------------
% 28.23/4.46 % (33397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.23/4.46 % (33397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/4.46 % (33397)CaDiCaL version: 2.1.3
% 28.23/4.46 % (33397)Termination reason: Instruction limit
% 28.23/4.46 % (33397)Termination phase: Saturation
% 28.23/4.46 % (33397)Time elapsed: 0.073 s
% 28.23/4.46 % (33397)Peak memory usage: 13 MB
% 28.23/4.46 % (33397)Instructions burned: 116 (million)
% 28.23/4.46 % (33398)Instruction limit reached!
% 28.23/4.46 % (33398)------------------------------
% 28.23/4.46 % (33398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.23/4.46 % (33398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/4.46 % (33398)CaDiCaL version: 2.1.3
% 28.23/4.46 % (33398)Termination reason: Instruction limit
% 28.23/4.46 % (33398)Termination phase: Saturation
% 28.23/4.46 % (33398)Time elapsed: 0.078 s
% 28.23/4.46 % (33398)Peak memory usage: 13 MB
% 28.23/4.46 % (33398)Instructions burned: 132 (million)
% 28.23/4.46 % (33407)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1915809704:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 28.23/4.46 % (33408)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=112860958:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 28.23/4.46 % (33409)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=2664778474:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 28.23/4.46 % TRYING [1]
% 28.23/4.46 % TRYING [2]
% 28.23/4.46 % TRYING [5]
% 28.23/4.46 % (33399)Instruction limit reached!
% 28.23/4.46 % (33399)------------------------------
% 28.23/4.46 % (33399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.23/4.46 % (33399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/4.46 % (33399)CaDiCaL version: 2.1.3
% 28.23/4.46 % (33399)Termination reason: Instruction limit
% 28.23/4.46 % (33399)Termination phase: Saturation
% 28.23/4.46 % (33399)Time elapsed: 0.105 s
% 28.23/4.46 % (33399)Peak memory usage: 13 MB
% 28.23/4.46 % (33399)Instructions burned: 159 (million)
% 28.23/4.46 % TRYING [3]
% 28.23/4.46 % TRYING [4]
% 28.23/4.46 % (33413)ott-21_1_sil=16000:fs=off:random_seed=1697933621:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 28.23/4.46 % (33408)Instruction limit reached!
% 28.23/4.46 % (33408)------------------------------
% 28.23/4.46 % (33408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.23/4.46 % (33408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.23/4.46 % (33408)CaDiCaL version: 2.1.3
% 14.83/5.22 % (33408)Termination reason: Instruction limit
% 14.83/5.22 % (33408)Termination phase: Saturation
% 14.83/5.22 % (33408)Time elapsed: 0.080 s
% 14.83/5.22 % (33408)Peak memory usage: 14 MB
% 14.83/5.22 % (33408)Instructions burned: 132 (million)
% 14.83/5.22 % (33415)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4007679249:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 14.83/5.22 % (33413)Instruction limit reached!
% 14.83/5.22 % (33413)------------------------------
% 14.83/5.22 % (33413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.83/5.22 % (33413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/5.22 % (33413)CaDiCaL version: 2.1.3
% 14.83/5.22 % (33413)Termination reason: Instruction limit
% 14.83/5.22 % (33413)Termination phase: Saturation
% 14.83/5.22 % (33413)Time elapsed: 0.090 s
% 14.83/5.22 % (33413)Peak memory usage: 13 MB
% 14.83/5.22 % (33413)Instructions burned: 180 (million)
% 14.83/5.22 % (33417)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2440216543:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 14.83/5.22 % TRYING [1]
% 14.83/5.22 % TRYING [2]
% 14.83/5.22 % TRYING [3]
% 14.83/5.22 % TRYING [5]
% 14.83/5.22 % TRYING [4]
% 14.83/5.22 % TRYING [6]
% 14.83/5.22 % (33407)Instruction limit reached!
% 14.83/5.22 % (33407)------------------------------
% 14.83/5.22 % (33407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.83/5.22 % (33407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/5.22 % (33407)CaDiCaL version: 2.1.3
% 14.83/5.22 % (33407)Termination reason: Instruction limit
% 14.83/5.22 % (33407)Termination phase: Finite model building constraint generation
% 14.83/5.22 % (33407)Time elapsed: 0.264 s
% 14.83/5.22 % (33407)Peak memory usage: 25 MB
% 14.83/5.22 % (33407)Instructions burned: 714 (million)
% 14.83/5.22 % (33419)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1099994501:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 14.83/5.22 % TRYING [5]
% 14.83/5.22 % (33415)Instruction limit reached!
% 14.83/5.22 % (33415)------------------------------
% 14.83/5.22 % (33415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.83/5.22 % (33415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/5.22 % (33415)CaDiCaL version: 2.1.3
% 14.83/5.22 % (33415)Termination reason: Instruction limit
% 14.83/5.22 % (33415)Termination phase: Saturation
% 14.83/5.22 % (33415)Time elapsed: 0.316 s
% 14.83/5.22 % (33415)Peak memory usage: 15 MB
% 14.83/5.22 % (33415)Instructions burned: 477 (million)
% 14.83/5.22 % (33409)Instruction limit reached!
% 14.83/5.22 % (33409)------------------------------
% 14.83/5.22 % (33409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.83/5.22 % (33409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/5.22 % (33409)CaDiCaL version: 2.1.3
% 14.83/5.22 % (33409)Termination reason: Instruction limit
% 14.83/5.22 % (33409)Termination phase: Saturation
% 14.83/5.22 % (33409)Time elapsed: 0.412 s
% 14.83/5.22 % (33409)Peak memory usage: 21 MB
% 14.83/5.22 % (33409)Instructions burned: 685 (million)
% 14.83/5.22 % (33421)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=241672244:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 14.83/5.22 % (33422)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=1396445890:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 14.83/5.22 % (33417)Instruction limit reached!
% 14.83/5.22 % (33417)------------------------------
% 14.83/5.22 % (33417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.83/5.22 % (33417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/5.22 % (33417)CaDiCaL version: 2.1.3
% 14.83/5.22 % (33417)Termination reason: Instruction limit
% 14.83/5.22 % (33417)Termination phase: Finite model building SAT solving
% 14.83/5.22 % (33417)Time elapsed: 0.326 s
% 14.83/5.22 % (33417)Peak memory usage: 21 MB
% 14.83/5.22 % (33417)Instructions burned: 866 (million)
% 14.83/5.22 % (33425)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=164221755:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 14.83/5.22 % TRYING [14]
% 14.83/5.22 % (33421)Instruction limit reached!
% 14.83/5.22 % (33421)------------------------------
% 14.83/5.22 % (33421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.83/5.22 % (33421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/5.22 % (33421)CaDiCaL version: 2.1.3
% 14.83/5.22 % (33421)Termination reason: Instruction limit
% 14.83/5.22 % (33421)Termination phase: Finite model building constraint generation
% 14.83/5.22 % (33421)Time elapsed: 0.314 s
% 14.83/5.22 % (33421)Peak memory usage: 69 MB
% 14.83/5.22 % (33421)Instructions burned: 891 (million)
% 14.83/5.22 % (33427)fmb+10_1_sil=64000:random_seed=1614805550:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 14.83/5.22 % TRYING [1]
% 14.83/5.22 % TRYING [2]
% 14.83/5.22 % TRYING [3]
% 14.83/5.22 % (33422)Instruction limit reached!
% 14.83/5.22 % (33422)------------------------------
% 14.83/5.22 % (33422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.83/5.22 % (33422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/5.22 % (33422)CaDiCaL version: 2.1.3
% 14.83/5.22 % (33422)Termination reason: Instruction limit
% 14.83/5.22 % (33422)Termination phase: Saturation
% 14.83/5.22 % (33422)Time elapsed: 0.399 s
% 14.83/5.22 % (33422)Peak memory usage: 20 MB
% 14.83/5.22 % (33422)Instructions burned: 693 (million)
% 14.83/5.22 % TRYING [4]
% 14.83/5.22 % (33429)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1070107878:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 14.83/5.22 % TRYING [20]
% 14.83/5.22 % (33419)Instruction limit reached!
% 14.83/5.22 % (33419)------------------------------
% 14.83/5.22 % (33419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.83/5.22 % (33419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/5.22 % (33419)CaDiCaL version: 2.1.3
% 14.83/5.22 % (33419)Termination reason: Instruction limit
% 14.83/5.22 % (33419)Termination phase: Saturation
% 14.83/5.22 % (33419)Time elapsed: 0.667 s
% 14.83/5.22 % (33419)Peak memory usage: 27 MB
% 14.83/5.22 % (33419)Instructions burned: 1180 (million)
% 14.83/5.22 % (33431)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3444524597:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 14.83/5.22 % TRYING [8]
% 14.83/5.22 % (33425)Instruction limit reached!
% 14.83/5.22 % (33425)------------------------------
% 14.83/5.22 % (33425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.83/5.22 % (33425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/5.22 % (33425)CaDiCaL version: 2.1.3
% 14.83/5.22 % (33425)Termination reason: Instruction limit
% 14.83/5.22 % (33425)Termination phase: Saturation
% 14.83/5.22 % (33425)Time elapsed: 0.498 s
% 14.83/5.22 % (33425)Peak memory usage: 21 MB
% 14.83/5.22 % (33425)Instructions burned: 879 (million)
% 14.83/5.22 % (33433)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3684143860:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 14.83/5.22 % TRYING [5]
% 14.83/5.22 % (33431)Instruction limit reached!
% 14.83/5.22 % (33431)------------------------------
% 14.83/5.22 % (33431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.83/5.22 % (33431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/5.22 % (33431)CaDiCaL version: 2.1.3
% 14.83/5.22 % (33431)Termination reason: Instruction limit
% 14.83/5.22 % (33431)Termination phase: Finite model building SAT solving
% 14.83/5.22 % (33431)Time elapsed: 0.361 s
% 14.83/5.22 % (33431)Peak memory usage: 61 MB
% 14.83/5.22 % (33431)Instructions burned: 921 (million)
% 14.83/5.22 % TRYING [7]
% 14.83/5.22 % (33435)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3767377862:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 14.83/5.22 % (33435)Instruction limit reached!
% 14.83/5.22 % (33435)------------------------------
% 14.83/5.22 % (33435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.83/5.22 % (33435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/5.22 % (33435)CaDiCaL version: 2.1.3
% 14.83/5.22 % (33435)Termination reason: Instruction limit
% 14.83/5.22 % (33435)Termination phase: Saturation
% 14.83/5.22 % (33435)Time elapsed: 0.770 s
% 14.83/5.22 % (33435)Peak memory usage: 27 MB
% 14.83/5.22 % (33435)Instructions burned: 1473 (million)
% 14.83/5.22 % (33437)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=932015440:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 14.83/5.22 % TRYING [77]
% 14.83/5.22 % TRYING [6]
% 14.83/5.22 % (33433)Instruction limit reached!
% 14.83/5.22 % (33433)------------------------------
% 14.83/5.22 % (33433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.83/5.22 % (33433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/5.22 % (33433)CaDiCaL version: 2.1.3
% 14.83/5.22 % (33433)Termination reason: Instruction limit
% 14.83/5.22 % (33433)Termination phase: Saturation
% 14.83/5.22 % (33433)Time elapsed: 2.910 s
% 14.83/5.22 % (33433)Peak memory usage: 40 MB
% 14.83/5.22 % (33433)Instructions burned: 5131 (million)
% 14.83/5.22 % (33439)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=902098388:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 14.83/5.22 % TRYING [16]
% 14.83/5.22 % (33437)Instruction limit reached!
% 14.83/5.22 % (33437)------------------------------
% 14.83/5.22 % (33437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.83/5.22 % (33437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/5.22 % (33437)CaDiCaL version: 2.1.3
% 14.83/5.22 % (33437)Termination reason: Instruction limit
% 14.83/5.22 % (33437)Termination phase: Finite model building constraint generation
% 14.83/5.22 % (33437)Time elapsed: 2.167 s
% 14.83/5.22 % (33437)Peak memory usage: 396 MB
% 14.83/5.22 % (33437)Instructions burned: 6327 (million)
% 14.83/5.22 % (33441)ott-2_1_sil=16000:newcnf=on:random_seed=1933360860:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 14.83/5.22 % (33429)Instruction limit reached!
% 14.83/5.22 % (33429)------------------------------
% 14.83/5.22 % (33429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.83/5.22 % (33429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/5.22 % (33429)CaDiCaL version: 2.1.3
% 14.83/5.22 % (33429)Termination reason: Instruction limit
% 14.83/5.22 % (33429)Termination phase: Finite model building constraint generation
% 14.83/5.22 % (33429)Time elapsed: 3.630 s
% 14.83/5.22 % (33429)Peak memory usage: 655 MB
% 14.83/5.22 % (33429)Instructions burned: 9515 (million)
% 14.83/5.22 % (33443)ott+10_1_sil=32000:tgt=ground:random_seed=2304612119:i=5114:av=off_2953 on theBenchmark for (2953ds/5114Mi)
% 14.83/5.22 % (33443) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-33388-33443"...
% 14.83/5.22 % (33443)...printing done.
% 14.83/5.22 % (33443)Refutation found. Thanks to Tanya!
% 14.83/5.22 % SZS status Theorem for theBenchmark
% 14.83/5.22 % SZS output start Proof for theBenchmark
% See solution above
% 14.83/5.22 % (33443)------------------------------
% 14.83/5.22 % (33443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.83/5.22 % (33443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.83/5.22 % (33443)CaDiCaL version: 2.1.3
% 14.83/5.22 % (33443)Termination reason: Refutation
% 14.83/5.22 % (33443)Time elapsed: 0.064 s
% 14.83/5.22 % (33443)Peak memory usage: 13 MB
% 14.83/5.22 % (33443)Instructions burned: 104 (million)
% 14.83/5.22 % (33388)Success in time 4.809 s
% 14.83/5.22 % Vampire exiting
%------------------------------------------------------------------------------