%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n016.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 12:48:34 PM UTC 2026
% Result : Theorem 4.10s 1.62s
% Output : Refutation 5.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 17
% Syntax : Number of formulae : 147 ( 29 unt; 2 def)
% Number of atoms : 532 ( 39 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 646 ( 261 ~; 283 |; 70 &)
% ( 13 <=>; 18 =>; 0 <=; 1 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 43 ( 41 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 186 ( 0 sgn 177 !; 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(f32,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& lattice(X0)
& latt_str(X0) )
=> ( reflexive(k2_lattice3(X0))
& antisymmetric(k2_lattice3(X0))
& transitive(k2_lattice3(X0))
& v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_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(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(f124,plain,
! [X0] :
( X0 = rel_str_of(the_carrier(X0),the_InternalRel(X0))
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f125,plain,
! [X0] :
( X0 = rel_str_of(the_carrier(X0),the_InternalRel(X0))
| ~ strict_rel_str(X0)
| ~ rel_str(X0) ),
inference(flattening,[],[f124]) ).
fof(f160,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(f161,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,[],[f160]) ).
fof(f162,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(f163,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,[],[f162]) ).
fof(f168,plain,
! [X0] :
( ( reflexive(k2_lattice3(X0))
& antisymmetric(k2_lattice3(X0))
& transitive(k2_lattice3(X0))
& v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f169,plain,
! [X0] :
( ( reflexive(k2_lattice3(X0))
& antisymmetric(k2_lattice3(X0))
& transitive(k2_lattice3(X0))
& v1_partfun1(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
& relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0)) )
| empty_carrier(X0)
| ~ lattice(X0)
| ~ latt_str(X0) ),
inference(flattening,[],[f168]) ).
fof(f207,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(f215,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(f216,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,[],[f215]) ).
fof(f224,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(f227,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(f233,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(f234,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,[],[f233]) ).
fof(f265,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(f266,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,[],[f216]) ).
fof(f268,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,[],[f224]) ).
fof(f269,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,[],[f227]) ).
fof(f270,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,[],[f269]) ).
fof(f271,plain,
( ( ~ subset(sK29,sK30)
| ~ related_reflexive(boole_POSet(sK28),sK29,sK30) )
& ( subset(sK29,sK30)
| related_reflexive(boole_POSet(sK28),sK29,sK30) )
& element(sK30,the_carrier(boole_POSet(sK28)))
& element(sK29,the_carrier(boole_POSet(sK28))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28,sK29,sK30]),skolemize(X0,sK28),skolemize(X1,sK29),skolemize(X2,sK30)],[f270]) ).
fof(f273,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,[],[f234]) ).
fof(f274,plain,
! [X0] :
( ~ strict_rel_str(X0)
| rel_str_of(the_carrier(X0),the_InternalRel(X0)) = X0
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f336,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,[],[f161]) ).
fof(f337,plain,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
inference(cnf_transformation,[],[f22]) ).
fof(f338,plain,
! [X0,X1] :
( ~ lattice(X0)
| ~ element(X1,the_carrier(X0))
| empty_carrier(X0)
| cast_to_el_of_LattPOSet(X0,X1) = X1
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f346,plain,
! [X0] : latt_str(boole_lattice(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f348,plain,
! [X0] :
( ~ lattice(X0)
| empty_carrier(X0)
| relation_of2_as_subset(k2_lattice3(X0),the_carrier(X0),the_carrier(X0))
| ~ latt_str(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f358,plain,
! [X0] : rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f447,plain,
! [X0] : lattice(boole_lattice(X0)),
inference(cnf_transformation,[],[f72]) ).
fof(f448,plain,
! [X0] : join_absorbing(boole_lattice(X0)),
inference(cnf_transformation,[],[f72]) ).
fof(f449,plain,
! [X0] : meet_absorbing(boole_lattice(X0)),
inference(cnf_transformation,[],[f72]) ).
fof(f451,plain,
! [X0] : meet_commutative(boole_lattice(X0)),
inference(cnf_transformation,[],[f72]) ).
fof(f455,plain,
! [X0] : ~ empty_carrier(boole_lattice(X0)),
inference(cnf_transformation,[],[f72]) ).
fof(f502,plain,
! [X0] : strict_rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f81]) ).
fof(f505,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2(X1,X0,X0)
| rel_str_of(X0,X1) != rel_str_of(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f207]) ).
fof(f640,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f265]) ).
fof(f642,plain,
! [X2,X0,X1] :
( ~ join_absorbing(X0)
| ~ below_refl(X0,X1,X2)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| below(X0,X1,X2)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f266]) ).
fof(f643,plain,
! [X2,X0,X1] :
( ~ join_absorbing(X0)
| ~ below(X0,X1,X2)
| empty_carrier(X0)
| ~ meet_commutative(X0)
| ~ meet_absorbing(X0)
| below_refl(X0,X1,X2)
| ~ latt_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f266]) ).
fof(f650,plain,
! [X2,X0,X1] :
( ~ element(X1,the_carrier(boole_lattice(X0)))
| ~ below(boole_lattice(X0),X1,X2)
| ~ element(X2,the_carrier(boole_lattice(X0)))
| subset(X1,X2) ),
inference(cnf_transformation,[],[f268]) ).
fof(f651,plain,
! [X2,X0,X1] :
( ~ element(X1,the_carrier(boole_lattice(X0)))
| ~ subset(X1,X2)
| ~ element(X2,the_carrier(boole_lattice(X0)))
| below(boole_lattice(X0),X1,X2) ),
inference(cnf_transformation,[],[f268]) ).
fof(f653,plain,
element(sK29,the_carrier(boole_POSet(sK28))),
inference(cnf_transformation,[],[f271]) ).
fof(f654,plain,
element(sK30,the_carrier(boole_POSet(sK28))),
inference(cnf_transformation,[],[f271]) ).
fof(f655,plain,
( subset(sK29,sK30)
| related_reflexive(boole_POSet(sK28),sK29,sK30) ),
inference(cnf_transformation,[],[f271]) ).
fof(f656,plain,
( ~ subset(sK29,sK30)
| ~ related_reflexive(boole_POSet(sK28),sK29,sK30) ),
inference(cnf_transformation,[],[f271]) ).
fof(f663,plain,
! [X2,X0,X1] :
( ~ 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(cnf_transformation,[],[f273]) ).
fof(f664,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,[],[f273]) ).
fof(f669,plain,
! [X0] : rel_str(poset_of_lattice(boole_lattice(X0))),
inference(definition_unfolding,[],[f358,f337]) ).
fof(f676,plain,
! [X0] : strict_rel_str(poset_of_lattice(boole_lattice(X0))),
inference(definition_unfolding,[],[f502,f337]) ).
fof(f686,plain,
( ~ subset(sK29,sK30)
| ~ related_reflexive(poset_of_lattice(boole_lattice(sK28)),sK29,sK30) ),
inference(definition_unfolding,[],[f656,f337]) ).
fof(f687,plain,
( subset(sK29,sK30)
| related_reflexive(poset_of_lattice(boole_lattice(sK28)),sK29,sK30) ),
inference(definition_unfolding,[],[f655,f337]) ).
fof(f688,plain,
element(sK30,the_carrier(poset_of_lattice(boole_lattice(sK28)))),
inference(definition_unfolding,[],[f654,f337]) ).
fof(f689,plain,
element(sK29,the_carrier(poset_of_lattice(boole_lattice(sK28)))),
inference(definition_unfolding,[],[f653,f337]) ).
fof(f691,definition,
( spl31_1
<=> related_reflexive(poset_of_lattice(boole_lattice(sK28)),sK29,sK30) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f692,plain,
( related_reflexive(poset_of_lattice(boole_lattice(sK28)),sK29,sK30)
| ~ spl31_1 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f694,definition,
( spl31_2
<=> subset(sK29,sK30) ),
introduced(definition,[new_symbols(definition,[spl31_2])],[avatar_definition]) ).
fof(f695,plain,
( subset(sK29,sK30)
| ~ spl31_2 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f696,plain,
( spl31_1
| spl31_2 ),
inference(avatar_split_clause,[],[f687,f694,f691]) ).
fof(f697,plain,
( ~ related_reflexive(poset_of_lattice(boole_lattice(sK28)),sK29,sK30)
| spl31_1 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f698,plain,
( ~ subset(sK29,sK30)
| spl31_2 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f699,plain,
( ~ spl31_1
| ~ spl31_2 ),
inference(avatar_split_clause,[],[f686,f694,f691]) ).
fof(f723,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(boole_lattice(X1)))
| empty_carrier(boole_lattice(X1))
| cast_to_el_of_LattPOSet(boole_lattice(X1),X0) = X0
| ~ latt_str(boole_lattice(X1)) ),
inference(resolution,[],[f447,f338]) ).
fof(f724,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(boole_lattice(X1)))
| cast_to_el_of_LattPOSet(boole_lattice(X1),X0) = X0
| ~ latt_str(boole_lattice(X1)) ),
inference(forward_subsumption_resolution,[],[f723,f455]) ).
fof(f725,plain,
! [X0,X1] :
( ~ element(X0,the_carrier(boole_lattice(X1)))
| cast_to_el_of_LattPOSet(boole_lattice(X1),X0) = X0 ),
inference(forward_subsumption_resolution,[],[f724,f346]) ).
fof(f747,plain,
! [X0] :
( poset_of_lattice(boole_lattice(X0)) = rel_str_of(the_carrier(poset_of_lattice(boole_lattice(X0))),the_InternalRel(poset_of_lattice(boole_lattice(X0))))
| ~ rel_str(poset_of_lattice(boole_lattice(X0))) ),
inference(resolution,[],[f676,f274]) ).
fof(f748,plain,
! [X0] : poset_of_lattice(boole_lattice(X0)) = rel_str_of(the_carrier(poset_of_lattice(boole_lattice(X0))),the_InternalRel(poset_of_lattice(boole_lattice(X0)))),
inference(forward_subsumption_resolution,[],[f747,f669]) ).
fof(f750,plain,
! [X2,X0,X1] :
( ~ below_refl(boole_lattice(X0),X1,X2)
| empty_carrier(boole_lattice(X0))
| ~ meet_commutative(boole_lattice(X0))
| ~ meet_absorbing(boole_lattice(X0))
| below(boole_lattice(X0),X1,X2)
| ~ latt_str(boole_lattice(X0))
| ~ element(X1,the_carrier(boole_lattice(X0)))
| ~ element(X2,the_carrier(boole_lattice(X0))) ),
inference(resolution,[],[f448,f642]) ).
fof(f751,plain,
! [X2,X0,X1] :
( ~ below(boole_lattice(X0),X1,X2)
| empty_carrier(boole_lattice(X0))
| ~ meet_commutative(boole_lattice(X0))
| ~ meet_absorbing(boole_lattice(X0))
| below_refl(boole_lattice(X0),X1,X2)
| ~ latt_str(boole_lattice(X0))
| ~ element(X1,the_carrier(boole_lattice(X0)))
| ~ element(X2,the_carrier(boole_lattice(X0))) ),
inference(resolution,[],[f448,f643]) ).
fof(f752,plain,
! [X2,X0,X1] :
( ~ below(boole_lattice(X0),X1,X2)
| ~ meet_commutative(boole_lattice(X0))
| ~ meet_absorbing(boole_lattice(X0))
| below_refl(boole_lattice(X0),X1,X2)
| ~ latt_str(boole_lattice(X0))
| ~ element(X1,the_carrier(boole_lattice(X0)))
| ~ element(X2,the_carrier(boole_lattice(X0))) ),
inference(forward_subsumption_resolution,[],[f751,f455]) ).
fof(f753,plain,
! [X2,X0,X1] :
( ~ below_refl(boole_lattice(X0),X1,X2)
| ~ meet_commutative(boole_lattice(X0))
| ~ meet_absorbing(boole_lattice(X0))
| below(boole_lattice(X0),X1,X2)
| ~ latt_str(boole_lattice(X0))
| ~ element(X1,the_carrier(boole_lattice(X0)))
| ~ element(X2,the_carrier(boole_lattice(X0))) ),
inference(forward_subsumption_resolution,[],[f750,f455]) ).
fof(f755,plain,
! [X2,X0,X1] :
( ~ below(boole_lattice(X0),X1,X2)
| ~ meet_absorbing(boole_lattice(X0))
| below_refl(boole_lattice(X0),X1,X2)
| ~ latt_str(boole_lattice(X0))
| ~ element(X1,the_carrier(boole_lattice(X0)))
| ~ element(X2,the_carrier(boole_lattice(X0))) ),
inference(forward_subsumption_resolution,[],[f752,f451]) ).
fof(f756,plain,
! [X2,X0,X1] :
( ~ below_refl(boole_lattice(X0),X1,X2)
| ~ meet_absorbing(boole_lattice(X0))
| below(boole_lattice(X0),X1,X2)
| ~ latt_str(boole_lattice(X0))
| ~ element(X1,the_carrier(boole_lattice(X0)))
| ~ element(X2,the_carrier(boole_lattice(X0))) ),
inference(forward_subsumption_resolution,[],[f753,f451]) ).
fof(f758,plain,
! [X2,X0,X1] :
( ~ below(boole_lattice(X0),X1,X2)
| below_refl(boole_lattice(X0),X1,X2)
| ~ latt_str(boole_lattice(X0))
| ~ element(X1,the_carrier(boole_lattice(X0)))
| ~ element(X2,the_carrier(boole_lattice(X0))) ),
inference(forward_subsumption_resolution,[],[f755,f449]) ).
fof(f759,plain,
! [X2,X0,X1] :
( ~ below_refl(boole_lattice(X0),X1,X2)
| below(boole_lattice(X0),X1,X2)
| ~ latt_str(boole_lattice(X0))
| ~ element(X1,the_carrier(boole_lattice(X0)))
| ~ element(X2,the_carrier(boole_lattice(X0))) ),
inference(forward_subsumption_resolution,[],[f756,f449]) ).
fof(f761,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(boole_lattice(X0)))
| below_refl(boole_lattice(X0),X1,X2)
| ~ element(X1,the_carrier(boole_lattice(X0)))
| ~ below(boole_lattice(X0),X1,X2) ),
inference(forward_subsumption_resolution,[],[f758,f346]) ).
fof(f762,plain,
! [X2,X0,X1] :
( ~ element(X2,the_carrier(boole_lattice(X0)))
| below(boole_lattice(X0),X1,X2)
| ~ element(X1,the_carrier(boole_lattice(X0)))
| ~ below_refl(boole_lattice(X0),X1,X2) ),
inference(forward_subsumption_resolution,[],[f759,f346]) ).
fof(f779,plain,
! [X0] :
( empty_carrier(boole_lattice(X0))
| poset_of_lattice(boole_lattice(X0)) = rel_str_of(the_carrier(boole_lattice(X0)),k2_lattice3(boole_lattice(X0)))
| ~ latt_str(boole_lattice(X0)) ),
inference(resolution,[],[f336,f447]) ).
fof(f780,plain,
! [X0] :
( poset_of_lattice(boole_lattice(X0)) = rel_str_of(the_carrier(boole_lattice(X0)),k2_lattice3(boole_lattice(X0)))
| ~ latt_str(boole_lattice(X0)) ),
inference(forward_subsumption_resolution,[],[f779,f455]) ).
fof(f781,plain,
! [X0] : poset_of_lattice(boole_lattice(X0)) = rel_str_of(the_carrier(boole_lattice(X0)),k2_lattice3(boole_lattice(X0))),
inference(forward_subsumption_resolution,[],[f780,f346]) ).
fof(f794,plain,
! [X0] :
( empty_carrier(boole_lattice(X0))
| relation_of2_as_subset(k2_lattice3(boole_lattice(X0)),the_carrier(boole_lattice(X0)),the_carrier(boole_lattice(X0)))
| ~ latt_str(boole_lattice(X0)) ),
inference(resolution,[],[f348,f447]) ).
fof(f795,plain,
! [X0] :
( relation_of2_as_subset(k2_lattice3(boole_lattice(X0)),the_carrier(boole_lattice(X0)),the_carrier(boole_lattice(X0)))
| ~ latt_str(boole_lattice(X0)) ),
inference(forward_subsumption_resolution,[],[f794,f455]) ).
fof(f796,plain,
! [X0] : relation_of2_as_subset(k2_lattice3(boole_lattice(X0)),the_carrier(boole_lattice(X0)),the_carrier(boole_lattice(X0))),
inference(forward_subsumption_resolution,[],[f795,f346]) ).
fof(f798,plain,
! [X0] : relation_of2(k2_lattice3(boole_lattice(X0)),the_carrier(boole_lattice(X0)),the_carrier(boole_lattice(X0))),
inference(resolution,[],[f796,f640]) ).
fof(f801,plain,
! [X2,X0,X1] :
( rel_str_of(X1,X2) != rel_str_of(the_carrier(boole_lattice(X0)),k2_lattice3(boole_lattice(X0)))
| the_carrier(boole_lattice(X0)) = X1 ),
inference(resolution,[],[f798,f505]) ).
fof(f802,plain,
! [X2,X0,X1] :
( poset_of_lattice(boole_lattice(X0)) != rel_str_of(X1,X2)
| the_carrier(boole_lattice(X0)) = X1 ),
inference(forward_demodulation,[],[f801,f781]) ).
fof(f804,plain,
! [X0,X1] :
( poset_of_lattice(boole_lattice(X0)) != poset_of_lattice(boole_lattice(X1))
| the_carrier(poset_of_lattice(boole_lattice(X0))) = the_carrier(boole_lattice(X1)) ),
inference(superposition,[],[f802,f748]) ).
fof(f819,plain,
! [X0] : the_carrier(boole_lattice(X0)) = the_carrier(poset_of_lattice(boole_lattice(X0))),
inference(equality_resolution,[],[f804]) ).
fof(f822,plain,
element(sK29,the_carrier(boole_lattice(sK28))),
inference(superposition,[],[f689,f819]) ).
fof(f823,plain,
element(sK30,the_carrier(boole_lattice(sK28))),
inference(superposition,[],[f688,f819]) ).
fof(f835,plain,
! [X0] :
( ~ below(boole_lattice(sK28),sK29,X0)
| ~ element(X0,the_carrier(boole_lattice(sK28)))
| subset(sK29,X0) ),
inference(resolution,[],[f822,f650]) ).
fof(f836,plain,
! [X0] :
( ~ subset(sK29,X0)
| ~ element(X0,the_carrier(boole_lattice(sK28)))
| below(boole_lattice(sK28),sK29,X0) ),
inference(resolution,[],[f822,f651]) ).
fof(f837,plain,
sK29 = cast_to_el_of_LattPOSet(boole_lattice(sK28),sK29),
inference(resolution,[],[f822,f725]) ).
fof(f847,plain,
sK30 = cast_to_el_of_LattPOSet(boole_lattice(sK28),sK30),
inference(resolution,[],[f823,f725]) ).
fof(f848,plain,
! [X0] :
( ~ below(boole_lattice(sK28),X0,sK30)
| ~ element(X0,the_carrier(boole_lattice(sK28)))
| below_refl(boole_lattice(sK28),X0,sK30) ),
inference(resolution,[],[f823,f761]) ).
fof(f849,plain,
! [X0] :
( ~ below_refl(boole_lattice(sK28),X0,sK30)
| ~ element(X0,the_carrier(boole_lattice(sK28)))
| below(boole_lattice(sK28),X0,sK30) ),
inference(resolution,[],[f823,f762]) ).
fof(f855,plain,
! [X0] :
( ~ related_reflexive(poset_of_lattice(boole_lattice(sK28)),cast_to_el_of_LattPOSet(boole_lattice(sK28),X0),sK30)
| below_refl(boole_lattice(sK28),X0,sK30)
| ~ element(sK30,the_carrier(boole_lattice(sK28)))
| ~ element(X0,the_carrier(boole_lattice(sK28)))
| empty_carrier(boole_lattice(sK28))
| ~ lattice(boole_lattice(sK28))
| ~ latt_str(boole_lattice(sK28)) ),
inference(superposition,[],[f664,f847]) ).
fof(f858,plain,
! [X0] :
( ~ related_reflexive(poset_of_lattice(boole_lattice(sK28)),cast_to_el_of_LattPOSet(boole_lattice(sK28),X0),sK30)
| below_refl(boole_lattice(sK28),X0,sK30)
| ~ element(X0,the_carrier(boole_lattice(sK28)))
| empty_carrier(boole_lattice(sK28))
| ~ lattice(boole_lattice(sK28))
| ~ latt_str(boole_lattice(sK28)) ),
inference(forward_subsumption_resolution,[],[f855,f823]) ).
fof(f860,plain,
! [X0] :
( ~ related_reflexive(poset_of_lattice(boole_lattice(sK28)),cast_to_el_of_LattPOSet(boole_lattice(sK28),X0),sK30)
| below_refl(boole_lattice(sK28),X0,sK30)
| ~ element(X0,the_carrier(boole_lattice(sK28)))
| ~ lattice(boole_lattice(sK28))
| ~ latt_str(boole_lattice(sK28)) ),
inference(forward_subsumption_resolution,[],[f858,f455]) ).
fof(f862,plain,
! [X0] :
( ~ related_reflexive(poset_of_lattice(boole_lattice(sK28)),cast_to_el_of_LattPOSet(boole_lattice(sK28),X0),sK30)
| below_refl(boole_lattice(sK28),X0,sK30)
| ~ element(X0,the_carrier(boole_lattice(sK28)))
| ~ latt_str(boole_lattice(sK28)) ),
inference(forward_subsumption_resolution,[],[f860,f447]) ).
fof(f864,plain,
! [X0] :
( ~ related_reflexive(poset_of_lattice(boole_lattice(sK28)),cast_to_el_of_LattPOSet(boole_lattice(sK28),X0),sK30)
| below_refl(boole_lattice(sK28),X0,sK30)
| ~ element(X0,the_carrier(boole_lattice(sK28))) ),
inference(forward_subsumption_resolution,[],[f862,f346]) ).
fof(f875,plain,
( ~ element(sK30,the_carrier(boole_lattice(sK28)))
| below(boole_lattice(sK28),sK29,sK30)
| ~ spl31_2 ),
inference(resolution,[],[f836,f695]) ).
fof(f878,plain,
( below(boole_lattice(sK28),sK29,sK30)
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f875,f823]) ).
fof(f902,plain,
( ~ element(sK29,the_carrier(boole_lattice(sK28)))
| below_refl(boole_lattice(sK28),sK29,sK30)
| ~ spl31_2 ),
inference(resolution,[],[f848,f878]) ).
fof(f904,plain,
( below_refl(boole_lattice(sK28),sK29,sK30)
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f902,f822]) ).
fof(f905,plain,
( related_reflexive(poset_of_lattice(boole_lattice(sK28)),cast_to_el_of_LattPOSet(boole_lattice(sK28),sK29),cast_to_el_of_LattPOSet(boole_lattice(sK28),sK30))
| ~ element(sK30,the_carrier(boole_lattice(sK28)))
| ~ element(sK29,the_carrier(boole_lattice(sK28)))
| empty_carrier(boole_lattice(sK28))
| ~ lattice(boole_lattice(sK28))
| ~ latt_str(boole_lattice(sK28))
| ~ spl31_2 ),
inference(resolution,[],[f904,f663]) ).
fof(f906,plain,
( related_reflexive(poset_of_lattice(boole_lattice(sK28)),cast_to_el_of_LattPOSet(boole_lattice(sK28),sK29),cast_to_el_of_LattPOSet(boole_lattice(sK28),sK30))
| ~ element(sK29,the_carrier(boole_lattice(sK28)))
| empty_carrier(boole_lattice(sK28))
| ~ lattice(boole_lattice(sK28))
| ~ latt_str(boole_lattice(sK28))
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f905,f823]) ).
fof(f907,plain,
( related_reflexive(poset_of_lattice(boole_lattice(sK28)),cast_to_el_of_LattPOSet(boole_lattice(sK28),sK29),cast_to_el_of_LattPOSet(boole_lattice(sK28),sK30))
| empty_carrier(boole_lattice(sK28))
| ~ lattice(boole_lattice(sK28))
| ~ latt_str(boole_lattice(sK28))
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f906,f822]) ).
fof(f908,plain,
( related_reflexive(poset_of_lattice(boole_lattice(sK28)),cast_to_el_of_LattPOSet(boole_lattice(sK28),sK29),cast_to_el_of_LattPOSet(boole_lattice(sK28),sK30))
| ~ lattice(boole_lattice(sK28))
| ~ latt_str(boole_lattice(sK28))
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f907,f455]) ).
fof(f909,plain,
( related_reflexive(poset_of_lattice(boole_lattice(sK28)),cast_to_el_of_LattPOSet(boole_lattice(sK28),sK29),cast_to_el_of_LattPOSet(boole_lattice(sK28),sK30))
| ~ latt_str(boole_lattice(sK28))
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f908,f447]) ).
fof(f910,plain,
( related_reflexive(poset_of_lattice(boole_lattice(sK28)),cast_to_el_of_LattPOSet(boole_lattice(sK28),sK29),cast_to_el_of_LattPOSet(boole_lattice(sK28),sK30))
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f909,f346]) ).
fof(f911,plain,
( related_reflexive(poset_of_lattice(boole_lattice(sK28)),cast_to_el_of_LattPOSet(boole_lattice(sK28),sK29),sK30)
| ~ spl31_2 ),
inference(forward_demodulation,[],[f910,f847]) ).
fof(f912,plain,
( related_reflexive(poset_of_lattice(boole_lattice(sK28)),sK29,sK30)
| ~ spl31_2 ),
inference(forward_demodulation,[],[f911,f837]) ).
fof(f913,plain,
( $false
| spl31_1
| ~ spl31_2 ),
inference(forward_subsumption_resolution,[],[f912,f697]) ).
fof(f914,plain,
( spl31_1
| ~ spl31_2 ),
inference(avatar_contradiction_clause,[],[f913]) ).
fof(f934,plain,
( ~ related_reflexive(poset_of_lattice(boole_lattice(sK28)),sK29,sK30)
| below_refl(boole_lattice(sK28),sK29,sK30)
| ~ element(sK29,the_carrier(boole_lattice(sK28))) ),
inference(superposition,[],[f864,f837]) ).
fof(f935,plain,
( below_refl(boole_lattice(sK28),sK29,sK30)
| ~ element(sK29,the_carrier(boole_lattice(sK28)))
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f934,f692]) ).
fof(f936,plain,
( below_refl(boole_lattice(sK28),sK29,sK30)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f935,f822]) ).
fof(f950,plain,
( ~ element(sK29,the_carrier(boole_lattice(sK28)))
| below(boole_lattice(sK28),sK29,sK30)
| ~ spl31_1 ),
inference(resolution,[],[f849,f936]) ).
fof(f951,plain,
( below(boole_lattice(sK28),sK29,sK30)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f950,f822]) ).
fof(f955,plain,
( ~ element(sK30,the_carrier(boole_lattice(sK28)))
| subset(sK29,sK30)
| ~ spl31_1 ),
inference(resolution,[],[f951,f835]) ).
fof(f958,plain,
( subset(sK29,sK30)
| ~ spl31_1 ),
inference(forward_subsumption_resolution,[],[f955,f823]) ).
fof(f959,plain,
( $false
| ~ spl31_1
| spl31_2 ),
inference(forward_subsumption_resolution,[],[f958,f698]) ).
fof(f960,plain,
( ~ spl31_1
| spl31_2 ),
inference(avatar_contradiction_clause,[],[f959]) ).
cnf(s1,plain,
( spl31_1
| spl31_2 ),
inference(sat_conversion,[],[f696]) ).
cnf(s2,plain,
( ~ spl31_1
| ~ spl31_2 ),
inference(sat_conversion,[],[f699]) ).
cnf(s5,plain,
( spl31_1
| ~ spl31_2 ),
inference(sat_conversion,[],[f914]) ).
cnf(s9,plain,
( ~ spl31_1
| spl31_2 ),
inference(sat_conversion,[],[f960]) ).
cnf(s10,plain,
spl31_1,
inference(rat,[],[s1,s5]) ).
cnf(s11,plain,
spl31_2,
inference(rat,[],[s9,s10]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s2,s11,s10]) ).
fof(f961,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU369+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 05:03:14 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.10/1.62 % (3269330)Detected formulas, will run a generic FOF schedule.
% 4.10/1.62 % (3269336)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=3425668817:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.10/1.62 % (3269335)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=974866134:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.10/1.62 % (3269340)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1763391014:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.10/1.62 % (3269338)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3974512642:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.10/1.62 % (3269339)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1157136767:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.10/1.62 % (3269341)dis-21_1_sil=8000:lcm=predicate:random_seed=632801512: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)
% 4.10/1.62 % (3269337)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=1155208794:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.10/1.62 % (3269338)Refutation not found, incomplete strategy
% 4.10/1.62 % (3269338)------------------------------
% 4.10/1.62 % (3269338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.62 % (3269338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.62 % (3269338)CaDiCaL version: 2.1.3
% 4.10/1.62 % (3269338)Termination reason: Refutation not found, incomplete strategy
% 4.10/1.62 % (3269338)Time elapsed: 0.002 s
% 4.10/1.62 % (3269338)Peak memory usage: 88 MB
% 4.10/1.62 % (3269338)Instructions burned: 1 (million)
% 4.10/1.62 % (3269339)Refutation not found, incomplete strategy
% 4.10/1.62 % (3269339)------------------------------
% 4.10/1.62 % (3269339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.62 % (3269339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.62 % (3269339)CaDiCaL version: 2.1.3
% 4.10/1.62 % (3269339)Termination reason: Refutation not found, incomplete strategy
% 4.10/1.62 % (3269339)Time elapsed: 0.004 s
% 4.10/1.62 % (3269339)Peak memory usage: 88 MB
% 4.10/1.62 % (3269339)Instructions burned: 5 (million)
% 4.10/1.62 % (3269341)Instruction limit reached!
% 4.10/1.62 % (3269341)------------------------------
% 4.10/1.62 % (3269341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.62 % (3269341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.62 % (3269341)CaDiCaL version: 2.1.3
% 4.10/1.62 % (3269341)Termination reason: Instruction limit
% 4.10/1.62 % (3269341)Termination phase: Saturation
% 4.10/1.62 % (3269341)Time elapsed: 0.070 s
% 4.10/1.62 % (3269341)Peak memory usage: 92 MB
% 4.10/1.62 % (3269341)Instructions burned: 130 (million)
% 4.10/1.62 % (3269340)Instruction limit reached!
% 4.10/1.62 % (3269340)------------------------------
% 4.10/1.62 % (3269340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.62 % (3269340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.62 % (3269340)CaDiCaL version: 2.1.3
% 4.10/1.62 % (3269340)Termination reason: Instruction limit
% 4.10/1.62 % (3269340)Termination phase: Saturation
% 4.10/1.62 % (3269340)Time elapsed: 0.101 s
% 4.10/1.62 % (3269340)Peak memory usage: 90 MB
% 4.10/1.62 % (3269340)Instructions burned: 140 (million)
% 4.10/1.62 % (3269349)lrs+10_1_sil=8000:sp=occurrence:random_seed=2588551375:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.10/1.62 % (3269339)------------------------------
% 4.10/1.62 % (3269339)------------------------------
% 4.10/1.62 % (3269338)------------------------------
% 4.10/1.62 % (3269338)------------------------------
% 4.10/1.62 % (3269350)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3373229562:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.10/1.62 % (3269350)Refutation not found, incomplete strategy
% 4.10/1.62 % (3269350)------------------------------
% 4.10/1.62 % (3269350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.62 % (3269350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.62 % (3269350)CaDiCaL version: 2.1.3
% 4.10/1.62 % (3269350)Termination reason: Refutation not found, incomplete strategy
% 4.10/1.62 % (3269350)Time elapsed: 0.004 s
% 4.10/1.62 % (3269350)Peak memory usage: 89 MB
% 4.10/1.62 % (3269350)Instructions burned: 4 (million)
% 4.10/1.62 % (3269336)First to succeed.
% 4.10/1.62 % (3269336)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3269330"
% 4.10/1.62 % (3269349)Instruction limit reached!
% 4.10/1.62 % (3269349)------------------------------
% 4.10/1.62 % (3269349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.62 % (3269349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.62 % (3269349)CaDiCaL version: 2.1.3
% 4.10/1.62 % (3269349)Termination reason: Instruction limit
% 4.10/1.62 % (3269349)Termination phase: Saturation
% 4.10/1.62 % (3269349)Time elapsed: 0.165 s
% 4.10/1.62 % (3269349)Peak memory usage: 92 MB
% 4.10/1.62 % (3269349)Instructions burned: 285 (million)
% 4.10/1.62 % (3269354)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=1433626061:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.10/1.62 % (3269353)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2630517290:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.10/1.62 % (3269350)------------------------------
% 4.10/1.62 % (3269350)------------------------------
% 4.10/1.62 % (3269336)Refutation found. Thanks to Tanya!
% 4.10/1.62 % SZS status Theorem for theBenchmark
% 4.10/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 5.88/1.82 % (3269336)------------------------------
% 5.88/1.82 % (3269336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/1.82 % (3269336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/1.82 % (3269336)CaDiCaL version: 2.1.3
% 5.88/1.82 % (3269336)Termination reason: Refutation
% 5.88/1.82 % (3269336)Time elapsed: 0.435 s
% 5.88/1.82 % (3269336)Peak memory usage: 133 MB
% 5.88/1.82 % (3269336)Instructions burned: 1053 (million)
% 5.88/1.82 % (3269336)------------------------------
% 5.88/1.82 % (3269336)------------------------------
% 5.88/1.82 % (3269330)Success in time 0.743 s
% 5.88/1.82 % Vampire exiting
%------------------------------------------------------------------------------