%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU381+2 : 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 : n011.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 12:48:38 PM UTC 2026
% Result : Theorem 8.88s 2.33s
% Output : Refutation 10.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of formulae : 173 ( 23 unt; 6 def)
% Number of atoms : 645 ( 7 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 810 ( 338 ~; 375 |; 65 &)
% ( 17 <=>; 13 =>; 0 <=; 2 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 30 ( 28 usr; 7 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 273 ( 0 sgn 253 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( upper_relstr_subset(X1,X0)
<=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( in(X2,X1)
& related(X0,X2,X3) )
=> in(X3,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d20_waybel_0) ).
fof(f159,axiom,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_yellow_1) ).
fof(f271,axiom,
! [X0] :
( strict_rel_str(boole_POSet(X0))
& rel_str(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(f433,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))
& with_suprema_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& complete_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& up_complete_relstr(boole_POSet(X0))
& join_complete_relstr(boole_POSet(X0))
& distributive_relstr(boole_POSet(X0))
& complemented_relstr(boole_POSet(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc9_waybel_1) ).
fof(f534,axiom,
! [X0] : k1_pcomps_1(X0) = powerset(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_pcomps_1) ).
fof(f560,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& reflexive_relstr(X0)
& rel_str(X0)
& element(X1,the_carrier(X0))
& element(X2,the_carrier(X0)) )
=> ( related_reflexive(X0,X1,X2)
<=> related(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r3_orders_2) ).
fof(f626,conjecture,
! [X0,X1] :
( element(X1,powerset(the_carrier(boole_POSet(X0))))
=> ( upper_relstr_subset(X1,boole_POSet(X0))
<=> ! [X2,X3] :
( ( subset(X2,X3)
& subset(X3,X0)
& in(X2,X1) )
=> in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_waybel_7) ).
fof(f627,negated_conjecture,
~ ! [X0,X1] :
( element(X1,powerset(the_carrier(boole_POSet(X0))))
=> ( upper_relstr_subset(X1,boole_POSet(X0))
<=> ! [X2,X3] :
( ( subset(X2,X3)
& subset(X3,X0)
& in(X2,X1) )
=> in(X3,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f626]) ).
fof(f717,axiom,
! [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/sandbox2/benchmark/theBenchmark.p',t2_yellow_1) ).
fof(f748,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f777,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f778,axiom,
! [X0] : the_carrier(boole_POSet(X0)) = powerset(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_waybel_7) ).
fof(f1103,plain,
! [X0] :
( ! [X1] :
( ( upper_relstr_subset(X1,X0)
<=> ! [X2] :
( ! [X3] :
( in(X3,X1)
| ~ in(X2,X1)
| ~ related(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f142]) ).
fof(f1104,plain,
! [X0] :
( ! [X1] :
( ( upper_relstr_subset(X1,X0)
<=> ! [X2] :
( ! [X3] :
( in(X3,X1)
| ~ in(X2,X1)
| ~ related(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(flattening,[],[f1103]) ).
fof(f1522,plain,
! [X0,X1,X2] :
( ( related_reflexive(X0,X1,X2)
<=> related(X0,X1,X2) )
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(ennf_transformation,[],[f560]) ).
fof(f1523,plain,
! [X0,X1,X2] :
( ( related_reflexive(X0,X1,X2)
<=> related(X0,X1,X2) )
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(flattening,[],[f1522]) ).
fof(f1630,plain,
? [X0,X1] :
( ( upper_relstr_subset(X1,boole_POSet(X0))
<~> ! [X2,X3] :
( in(X3,X1)
| ~ subset(X2,X3)
| ~ subset(X3,X0)
| ~ in(X2,X1) ) )
& element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(ennf_transformation,[],[f627]) ).
fof(f1631,plain,
? [X0,X1] :
( ( upper_relstr_subset(X1,boole_POSet(X0))
<~> ! [X2,X3] :
( in(X3,X1)
| ~ subset(X2,X3)
| ~ subset(X3,X0)
| ~ in(X2,X1) ) )
& element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(flattening,[],[f1630]) ).
fof(f1758,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,[],[f717]) ).
fof(f1833,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f777]) ).
fof(f1834,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f1833]) ).
fof(f2117,plain,
! [X0] :
( ! [X1] :
( ( ( upper_relstr_subset(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ in(X3,X1)
& in(X2,X1)
& related(X0,X2,X3)
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( in(X3,X1)
| ~ in(X2,X1)
| ~ related(X0,X2,X3)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ upper_relstr_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f1104]) ).
fof(f2118,plain,
! [X0] :
( ! [X1] :
( ( ( upper_relstr_subset(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ in(X3,X1)
& in(X2,X1)
& related(X0,X2,X3)
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( in(X5,X1)
| ~ in(X4,X1)
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X0)) )
| ~ element(X4,the_carrier(X0)) )
| ~ upper_relstr_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(rectify,[],[f2117]) ).
fof(f2119,plain,
! [X0] :
( ! [X1] :
( ( ( upper_relstr_subset(X1,X0)
| ( ~ in(sK103(X0,X1),X1)
& in(sK102(X0,X1),X1)
& related(X0,sK102(X0,X1),sK103(X0,X1))
& element(sK103(X0,X1),the_carrier(X0))
& element(sK102(X0,X1),the_carrier(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( in(X5,X1)
| ~ in(X4,X1)
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X0)) )
| ~ element(X4,the_carrier(X0)) )
| ~ upper_relstr_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK102,sK103]),skolemize(X2,sK102(X0,X1)),skolemize(X3,sK103(X0,X1))],[f2118]) ).
fof(f2392,plain,
! [X0,X1,X2] :
( ( ( related_reflexive(X0,X1,X2)
| ~ related(X0,X1,X2) )
& ( related(X0,X1,X2)
| ~ related_reflexive(X0,X1,X2) ) )
| empty_carrier(X0)
| ~ reflexive_relstr(X0)
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(nnf_transformation,[],[f1523]) ).
fof(f2610,plain,
? [X0,X1] :
( ( ? [X2,X3] :
( ~ in(X3,X1)
& subset(X2,X3)
& subset(X3,X0)
& in(X2,X1) )
| ~ upper_relstr_subset(X1,boole_POSet(X0)) )
& ( ! [X2,X3] :
( in(X3,X1)
| ~ subset(X2,X3)
| ~ subset(X3,X0)
| ~ in(X2,X1) )
| upper_relstr_subset(X1,boole_POSet(X0)) )
& element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(nnf_transformation,[],[f1631]) ).
fof(f2611,plain,
? [X0,X1] :
( ( ? [X2,X3] :
( ~ in(X3,X1)
& subset(X2,X3)
& subset(X3,X0)
& in(X2,X1) )
| ~ upper_relstr_subset(X1,boole_POSet(X0)) )
& ( ! [X2,X3] :
( in(X3,X1)
| ~ subset(X2,X3)
| ~ subset(X3,X0)
| ~ in(X2,X1) )
| upper_relstr_subset(X1,boole_POSet(X0)) )
& element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(flattening,[],[f2610]) ).
fof(f2612,plain,
? [X0,X1] :
( ( ? [X2,X3] :
( ~ in(X3,X1)
& subset(X2,X3)
& subset(X3,X0)
& in(X2,X1) )
| ~ upper_relstr_subset(X1,boole_POSet(X0)) )
& ( ! [X4,X5] :
( in(X5,X1)
| ~ subset(X4,X5)
| ~ subset(X5,X0)
| ~ in(X4,X1) )
| upper_relstr_subset(X1,boole_POSet(X0)) )
& element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
inference(rectify,[],[f2611]) ).
fof(f2613,plain,
( ( ( ~ in(sK539,sK537)
& subset(sK538,sK539)
& subset(sK539,sK536)
& in(sK538,sK537) )
| ~ upper_relstr_subset(sK537,boole_POSet(sK536)) )
& ( ! [X4,X5] :
( in(X5,sK537)
| ~ subset(X4,X5)
| ~ subset(X5,sK536)
| ~ in(X4,sK537) )
| upper_relstr_subset(sK537,boole_POSet(sK536)) )
& element(sK537,powerset(the_carrier(boole_POSet(sK536)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK536,sK537,sK538,sK539]),skolemize(X0,sK536),skolemize(X1,sK537),skolemize(X2,sK538),skolemize(X3,sK539)],[f2612]) ).
fof(f2656,plain,
! [X0,X1] :
( ! [X2] :
( ( ( related_reflexive(boole_POSet(X0),X1,X2)
| ~ subset(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,[],[f1758]) ).
fof(f2679,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f748]) ).
fof(f3265,plain,
! [X0,X1,X4,X5] :
( in(X5,X1)
| ~ in(X4,X1)
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ upper_relstr_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f2119]) ).
fof(f3266,plain,
! [X0,X1] :
( upper_relstr_subset(X1,X0)
| element(sK102(X0,X1),the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f2119]) ).
fof(f3267,plain,
! [X0,X1] :
( upper_relstr_subset(X1,X0)
| element(sK103(X0,X1),the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f2119]) ).
fof(f3268,plain,
! [X0,X1] :
( upper_relstr_subset(X1,X0)
| related(X0,sK102(X0,X1),sK103(X0,X1))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f2119]) ).
fof(f3269,plain,
! [X0,X1] :
( upper_relstr_subset(X1,X0)
| in(sK102(X0,X1),X1)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f2119]) ).
fof(f3270,plain,
! [X0,X1] :
( upper_relstr_subset(X1,X0)
| ~ in(sK103(X0,X1),X1)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f2119]) ).
fof(f3330,plain,
! [X0] : boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
inference(cnf_transformation,[],[f159]) ).
fof(f3638,plain,
! [X0] : rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f271]) ).
fof(f4083,plain,
! [X0] : reflexive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f433]) ).
fof(f4085,plain,
! [X0] : ~ empty_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f433]) ).
fof(f4537,plain,
! [X0] : powerset(X0) = k1_pcomps_1(X0),
inference(cnf_transformation,[],[f534]) ).
fof(f4567,plain,
! [X2,X0,X1] :
( ~ reflexive_relstr(X0)
| ~ related_reflexive(X0,X1,X2)
| empty_carrier(X0)
| related(X0,X1,X2)
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f2392]) ).
fof(f4568,plain,
! [X2,X0,X1] :
( ~ reflexive_relstr(X0)
| ~ related(X0,X1,X2)
| empty_carrier(X0)
| related_reflexive(X0,X1,X2)
| ~ rel_str(X0)
| ~ element(X1,the_carrier(X0))
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f2392]) ).
fof(f5106,plain,
element(sK537,powerset(the_carrier(boole_POSet(sK536)))),
inference(cnf_transformation,[],[f2613]) ).
fof(f5107,plain,
! [X4,X5] :
( in(X5,sK537)
| ~ subset(X4,X5)
| ~ subset(X5,sK536)
| ~ in(X4,sK537)
| upper_relstr_subset(sK537,boole_POSet(sK536)) ),
inference(cnf_transformation,[],[f2613]) ).
fof(f5108,plain,
( in(sK538,sK537)
| ~ upper_relstr_subset(sK537,boole_POSet(sK536)) ),
inference(cnf_transformation,[],[f2613]) ).
fof(f5109,plain,
( subset(sK539,sK536)
| ~ upper_relstr_subset(sK537,boole_POSet(sK536)) ),
inference(cnf_transformation,[],[f2613]) ).
fof(f5110,plain,
( subset(sK538,sK539)
| ~ upper_relstr_subset(sK537,boole_POSet(sK536)) ),
inference(cnf_transformation,[],[f2613]) ).
fof(f5111,plain,
( ~ in(sK539,sK537)
| ~ upper_relstr_subset(sK537,boole_POSet(sK536)) ),
inference(cnf_transformation,[],[f2613]) ).
fof(f5266,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f2656]) ).
fof(f5267,plain,
! [X2,X0,X1] :
( 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(cnf_transformation,[],[f2656]) ).
fof(f5331,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f2679]) ).
fof(f5332,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f2679]) ).
fof(f5382,plain,
! [X2,X0,X1] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(cnf_transformation,[],[f1834]) ).
fof(f5383,plain,
! [X0] : powerset(X0) = the_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f778]) ).
fof(f5643,plain,
! [X0,X1] :
( ~ rel_str(X0)
| ~ in(sK103(X0,X1),X1)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| upper_relstr_subset(X1,X0) ),
inference(definition_unfolding,[],[f3270,f4537]) ).
fof(f5644,plain,
! [X0,X1] :
( ~ rel_str(X0)
| in(sK102(X0,X1),X1)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| upper_relstr_subset(X1,X0) ),
inference(definition_unfolding,[],[f3269,f4537]) ).
fof(f5645,plain,
! [X0,X1] :
( ~ rel_str(X0)
| related(X0,sK102(X0,X1),sK103(X0,X1))
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| upper_relstr_subset(X1,X0) ),
inference(definition_unfolding,[],[f3268,f4537]) ).
fof(f5646,plain,
! [X0,X1] :
( ~ rel_str(X0)
| element(sK103(X0,X1),the_carrier(X0))
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| upper_relstr_subset(X1,X0) ),
inference(definition_unfolding,[],[f3267,f4537]) ).
fof(f5647,plain,
! [X0,X1] :
( ~ rel_str(X0)
| element(sK102(X0,X1),the_carrier(X0))
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| upper_relstr_subset(X1,X0) ),
inference(definition_unfolding,[],[f3266,f4537]) ).
fof(f5648,plain,
! [X0,X1,X4,X5] :
( in(X5,X1)
| ~ in(X4,X1)
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ upper_relstr_subset(X1,X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| ~ rel_str(X0) ),
inference(definition_unfolding,[],[f3265,f4537]) ).
fof(f5749,plain,
! [X0] : rel_str(poset_of_lattice(boole_lattice(X0))),
inference(definition_unfolding,[],[f3638,f3330]) ).
fof(f5898,plain,
! [X0] : ~ empty_carrier(poset_of_lattice(boole_lattice(X0))),
inference(definition_unfolding,[],[f4085,f3330]) ).
fof(f5900,plain,
! [X0] : reflexive_relstr(poset_of_lattice(boole_lattice(X0))),
inference(definition_unfolding,[],[f4083,f3330]) ).
fof(f6275,plain,
( ~ in(sK539,sK537)
| ~ upper_relstr_subset(sK537,poset_of_lattice(boole_lattice(sK536))) ),
inference(definition_unfolding,[],[f5111,f3330]) ).
fof(f6276,plain,
( subset(sK538,sK539)
| ~ upper_relstr_subset(sK537,poset_of_lattice(boole_lattice(sK536))) ),
inference(definition_unfolding,[],[f5110,f3330]) ).
fof(f6277,plain,
( subset(sK539,sK536)
| ~ upper_relstr_subset(sK537,poset_of_lattice(boole_lattice(sK536))) ),
inference(definition_unfolding,[],[f5109,f3330]) ).
fof(f6278,plain,
( in(sK538,sK537)
| ~ upper_relstr_subset(sK537,poset_of_lattice(boole_lattice(sK536))) ),
inference(definition_unfolding,[],[f5108,f3330]) ).
fof(f6279,plain,
! [X4,X5] :
( in(X5,sK537)
| ~ subset(X4,X5)
| ~ subset(X5,sK536)
| ~ in(X4,sK537)
| upper_relstr_subset(sK537,poset_of_lattice(boole_lattice(sK536))) ),
inference(definition_unfolding,[],[f5107,f3330]) ).
fof(f6280,plain,
element(sK537,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(sK536))))),
inference(definition_unfolding,[],[f5106,f4537,f3330]) ).
fof(f6328,plain,
! [X2,X0,X1] :
( related_reflexive(poset_of_lattice(boole_lattice(X0)),X1,X2)
| ~ subset(X1,X2)
| ~ element(X2,the_carrier(poset_of_lattice(boole_lattice(X0))))
| ~ element(X1,the_carrier(poset_of_lattice(boole_lattice(X0)))) ),
inference(definition_unfolding,[],[f5267,f3330,f3330,f3330]) ).
fof(f6329,plain,
! [X2,X0,X1] :
( subset(X1,X2)
| ~ related_reflexive(poset_of_lattice(boole_lattice(X0)),X1,X2)
| ~ element(X2,the_carrier(poset_of_lattice(boole_lattice(X0))))
| ~ element(X1,the_carrier(poset_of_lattice(boole_lattice(X0)))) ),
inference(definition_unfolding,[],[f5266,f3330,f3330,f3330]) ).
fof(f6348,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| element(X0,k1_pcomps_1(X1)) ),
inference(definition_unfolding,[],[f5332,f4537]) ).
fof(f6349,plain,
! [X0,X1] :
( ~ element(X0,k1_pcomps_1(X1))
| subset(X0,X1) ),
inference(definition_unfolding,[],[f5331,f4537]) ).
fof(f6376,plain,
! [X2,X0,X1] :
( ~ element(X1,k1_pcomps_1(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(definition_unfolding,[],[f5382,f4537]) ).
fof(f6377,plain,
! [X0] : k1_pcomps_1(X0) = the_carrier(poset_of_lattice(boole_lattice(X0))),
inference(definition_unfolding,[],[f5383,f4537,f3330]) ).
fof(f6776,plain,
! [X2,X0,X1] :
( ~ element(X2,k1_pcomps_1(X0))
| subset(X1,X2)
| ~ related_reflexive(poset_of_lattice(boole_lattice(X0)),X1,X2)
| ~ element(X1,the_carrier(poset_of_lattice(boole_lattice(X0)))) ),
inference(forward_demodulation,[],[f6329,f6377]) ).
fof(f6777,plain,
! [X2,X0,X1] :
( ~ element(X2,k1_pcomps_1(X0))
| related_reflexive(poset_of_lattice(boole_lattice(X0)),X1,X2)
| ~ subset(X1,X2)
| ~ element(X1,the_carrier(poset_of_lattice(boole_lattice(X0)))) ),
inference(forward_demodulation,[],[f6328,f6377]) ).
fof(f6784,plain,
element(sK537,k1_pcomps_1(k1_pcomps_1(sK536))),
inference(forward_demodulation,[],[f6280,f6377]) ).
fof(f6786,definition,
( spl580_5
<=> upper_relstr_subset(sK537,poset_of_lattice(boole_lattice(sK536))) ),
introduced(definition,[new_symbols(definition,[spl580_5])],[avatar_definition]) ).
fof(f6787,plain,
( upper_relstr_subset(sK537,poset_of_lattice(boole_lattice(sK536)))
| ~ spl580_5 ),
inference(avatar_component_clause,[],[f6786]) ).
fof(f6789,definition,
( spl580_6
<=> ! [X4,X5] :
( in(X5,sK537)
| ~ in(X4,sK537)
| ~ subset(X5,sK536)
| ~ subset(X4,X5) ) ),
introduced(definition,[new_symbols(definition,[spl580_6])],[avatar_definition]) ).
fof(f6790,plain,
( ! [X4,X5] :
( ~ subset(X5,sK536)
| ~ in(X4,sK537)
| in(X5,sK537)
| ~ subset(X4,X5) )
| ~ spl580_6 ),
inference(avatar_component_clause,[],[f6789]) ).
fof(f6791,plain,
( spl580_5
| spl580_6 ),
inference(avatar_split_clause,[],[f6279,f6789,f6786]) ).
fof(f6792,plain,
( ~ upper_relstr_subset(sK537,poset_of_lattice(boole_lattice(sK536)))
| spl580_5 ),
inference(avatar_component_clause,[],[f6786]) ).
fof(f6794,definition,
( spl580_7
<=> in(sK538,sK537) ),
introduced(definition,[new_symbols(definition,[spl580_7])],[avatar_definition]) ).
fof(f6795,plain,
( in(sK538,sK537)
| ~ spl580_7 ),
inference(avatar_component_clause,[],[f6794]) ).
fof(f6796,plain,
( ~ spl580_5
| spl580_7 ),
inference(avatar_split_clause,[],[f6278,f6794,f6786]) ).
fof(f6798,definition,
( spl580_8
<=> subset(sK539,sK536) ),
introduced(definition,[new_symbols(definition,[spl580_8])],[avatar_definition]) ).
fof(f6799,plain,
( subset(sK539,sK536)
| ~ spl580_8 ),
inference(avatar_component_clause,[],[f6798]) ).
fof(f6800,plain,
( ~ spl580_5
| spl580_8 ),
inference(avatar_split_clause,[],[f6277,f6798,f6786]) ).
fof(f6802,definition,
( spl580_9
<=> subset(sK538,sK539) ),
introduced(definition,[new_symbols(definition,[spl580_9])],[avatar_definition]) ).
fof(f6803,plain,
( subset(sK538,sK539)
| ~ spl580_9 ),
inference(avatar_component_clause,[],[f6802]) ).
fof(f6804,plain,
( ~ spl580_5
| spl580_9 ),
inference(avatar_split_clause,[],[f6276,f6802,f6786]) ).
fof(f6806,definition,
( spl580_10
<=> in(sK539,sK537) ),
introduced(definition,[new_symbols(definition,[spl580_10])],[avatar_definition]) ).
fof(f6807,plain,
( ~ in(sK539,sK537)
| spl580_10 ),
inference(avatar_component_clause,[],[f6806]) ).
fof(f6808,plain,
( ~ spl580_5
| ~ spl580_10 ),
inference(avatar_split_clause,[],[f6275,f6806,f6786]) ).
fof(f7137,plain,
! [X0,X1,X4,X5] :
( ~ rel_str(X0)
| ~ in(X4,X1)
| ~ related(X0,X4,X5)
| ~ element(X5,the_carrier(X0))
| ~ upper_relstr_subset(X1,X0)
| ~ element(X1,k1_pcomps_1(the_carrier(X0)))
| in(X5,X1) ),
inference(forward_subsumption_resolution,[],[f5648,f6376]) ).
fof(f7189,plain,
! [X2,X0,X1] :
( ~ related_reflexive(poset_of_lattice(boole_lattice(X0)),X1,X2)
| ~ element(X2,k1_pcomps_1(X0))
| subset(X1,X2)
| ~ element(X1,k1_pcomps_1(X0)) ),
inference(forward_demodulation,[],[f6776,f6377]) ).
fof(f7190,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ element(X2,k1_pcomps_1(X0))
| related_reflexive(poset_of_lattice(boole_lattice(X0)),X1,X2)
| ~ element(X1,k1_pcomps_1(X0)) ),
inference(forward_demodulation,[],[f6777,f6377]) ).
fof(f7242,plain,
! [X0] :
( ~ in(X0,sK537)
| element(X0,k1_pcomps_1(sK536)) ),
inference(resolution,[],[f6376,f6784]) ).
fof(f7266,plain,
( element(sK539,k1_pcomps_1(sK536))
| ~ spl580_8 ),
inference(resolution,[],[f6799,f6348]) ).
fof(f7277,plain,
( ! [X0] :
( ~ element(sK539,k1_pcomps_1(X0))
| related_reflexive(poset_of_lattice(boole_lattice(X0)),sK538,sK539)
| ~ element(sK538,k1_pcomps_1(X0)) )
| ~ spl580_9 ),
inference(resolution,[],[f6803,f7190]) ).
fof(f7280,plain,
( element(sK538,k1_pcomps_1(sK536))
| ~ spl580_7 ),
inference(resolution,[],[f6795,f7242]) ).
fof(f7293,plain,
( related_reflexive(poset_of_lattice(boole_lattice(sK536)),sK538,sK539)
| ~ element(sK538,k1_pcomps_1(sK536))
| ~ spl580_8
| ~ spl580_9 ),
inference(resolution,[],[f7266,f7277]) ).
fof(f7302,plain,
( related_reflexive(poset_of_lattice(boole_lattice(sK536)),sK538,sK539)
| ~ spl580_7
| ~ spl580_8
| ~ spl580_9 ),
inference(forward_subsumption_resolution,[],[f7293,f7280]) ).
fof(f7332,plain,
! [X0,X1] :
( element(sK102(poset_of_lattice(boole_lattice(X0)),X1),the_carrier(poset_of_lattice(boole_lattice(X0))))
| ~ element(X1,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(X0)))))
| upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X0))) ),
inference(resolution,[],[f5749,f5647]) ).
fof(f7333,plain,
! [X0,X1] :
( element(sK103(poset_of_lattice(boole_lattice(X0)),X1),the_carrier(poset_of_lattice(boole_lattice(X0))))
| ~ element(X1,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(X0)))))
| upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X0))) ),
inference(resolution,[],[f5749,f5646]) ).
fof(f7334,plain,
! [X0,X1] :
( ~ in(sK103(poset_of_lattice(boole_lattice(X0)),X1),X1)
| ~ element(X1,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(X0)))))
| upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X0))) ),
inference(resolution,[],[f5749,f5643]) ).
fof(f7335,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,X1)
| ~ related(poset_of_lattice(boole_lattice(X2)),X0,X3)
| ~ element(X3,the_carrier(poset_of_lattice(boole_lattice(X2))))
| ~ upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X2)))
| ~ element(X1,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(X2)))))
| in(X3,X1) ),
inference(resolution,[],[f5749,f7137]) ).
fof(f7336,plain,
! [X0,X1] :
( in(sK102(poset_of_lattice(boole_lattice(X0)),X1),X1)
| ~ element(X1,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(X0)))))
| upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X0))) ),
inference(resolution,[],[f5749,f5644]) ).
fof(f7337,plain,
! [X0,X1] :
( ~ element(X1,k1_pcomps_1(k1_pcomps_1(X0)))
| in(sK102(poset_of_lattice(boole_lattice(X0)),X1),X1)
| upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X0))) ),
inference(forward_demodulation,[],[f7336,f6377]) ).
fof(f7338,plain,
! [X2,X3,X0,X1] :
( ~ element(X3,k1_pcomps_1(X2))
| ~ in(X0,X1)
| ~ related(poset_of_lattice(boole_lattice(X2)),X0,X3)
| ~ upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X2)))
| ~ element(X1,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(X2)))))
| in(X3,X1) ),
inference(forward_demodulation,[],[f7335,f6377]) ).
fof(f7339,plain,
! [X0,X1] :
( ~ element(X1,k1_pcomps_1(k1_pcomps_1(X0)))
| ~ in(sK103(poset_of_lattice(boole_lattice(X0)),X1),X1)
| upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X0))) ),
inference(forward_demodulation,[],[f7334,f6377]) ).
fof(f7340,plain,
! [X0,X1] :
( element(sK103(poset_of_lattice(boole_lattice(X0)),X1),k1_pcomps_1(X0))
| ~ element(X1,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(X0)))))
| upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X0))) ),
inference(forward_demodulation,[],[f7333,f6377]) ).
fof(f7341,plain,
! [X0,X1] :
( element(sK102(poset_of_lattice(boole_lattice(X0)),X1),k1_pcomps_1(X0))
| ~ element(X1,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(X0)))))
| upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X0))) ),
inference(forward_demodulation,[],[f7332,f6377]) ).
fof(f7342,plain,
! [X2,X3,X0,X1] :
( ~ related(poset_of_lattice(boole_lattice(X2)),X0,X3)
| ~ element(X3,k1_pcomps_1(X2))
| ~ in(X0,X1)
| ~ element(X1,k1_pcomps_1(k1_pcomps_1(X2)))
| ~ upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X2)))
| in(X3,X1) ),
inference(forward_demodulation,[],[f7338,f6377]) ).
fof(f7343,plain,
! [X0,X1] :
( ~ element(X1,k1_pcomps_1(k1_pcomps_1(X0)))
| element(sK103(poset_of_lattice(boole_lattice(X0)),X1),k1_pcomps_1(X0))
| upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X0))) ),
inference(forward_demodulation,[],[f7340,f6377]) ).
fof(f7344,plain,
! [X0,X1] :
( ~ element(X1,k1_pcomps_1(k1_pcomps_1(X0)))
| element(sK102(poset_of_lattice(boole_lattice(X0)),X1),k1_pcomps_1(X0))
| upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X0))) ),
inference(forward_demodulation,[],[f7341,f6377]) ).
fof(f7345,plain,
( element(sK102(poset_of_lattice(boole_lattice(sK536)),sK537),k1_pcomps_1(sK536))
| upper_relstr_subset(sK537,poset_of_lattice(boole_lattice(sK536))) ),
inference(resolution,[],[f7344,f6784]) ).
fof(f7346,plain,
( element(sK103(poset_of_lattice(boole_lattice(sK536)),sK537),k1_pcomps_1(sK536))
| upper_relstr_subset(sK537,poset_of_lattice(boole_lattice(sK536))) ),
inference(resolution,[],[f7343,f6784]) ).
fof(f7347,plain,
( ~ in(sK103(poset_of_lattice(boole_lattice(sK536)),sK537),sK537)
| upper_relstr_subset(sK537,poset_of_lattice(boole_lattice(sK536))) ),
inference(resolution,[],[f7339,f6784]) ).
fof(f7349,plain,
( in(sK102(poset_of_lattice(boole_lattice(sK536)),sK537),sK537)
| upper_relstr_subset(sK537,poset_of_lattice(boole_lattice(sK536))) ),
inference(resolution,[],[f7337,f6784]) ).
fof(f7596,plain,
! [X2,X0,X1] :
( ~ related_reflexive(poset_of_lattice(boole_lattice(X0)),X1,X2)
| empty_carrier(poset_of_lattice(boole_lattice(X0)))
| related(poset_of_lattice(boole_lattice(X0)),X1,X2)
| ~ rel_str(poset_of_lattice(boole_lattice(X0)))
| ~ element(X1,the_carrier(poset_of_lattice(boole_lattice(X0))))
| ~ element(X2,the_carrier(poset_of_lattice(boole_lattice(X0)))) ),
inference(resolution,[],[f5900,f4567]) ).
fof(f7597,plain,
! [X2,X0,X1] :
( ~ related_reflexive(poset_of_lattice(boole_lattice(X0)),X1,X2)
| related(poset_of_lattice(boole_lattice(X0)),X1,X2)
| ~ rel_str(poset_of_lattice(boole_lattice(X0)))
| ~ element(X1,the_carrier(poset_of_lattice(boole_lattice(X0))))
| ~ element(X2,the_carrier(poset_of_lattice(boole_lattice(X0)))) ),
inference(forward_subsumption_resolution,[],[f7596,f5898]) ).
fof(f7598,plain,
! [X2,X0,X1] :
( ~ related_reflexive(poset_of_lattice(boole_lattice(X0)),X1,X2)
| related(poset_of_lattice(boole_lattice(X0)),X1,X2)
| ~ element(X1,the_carrier(poset_of_lattice(boole_lattice(X0))))
| ~ element(X2,the_carrier(poset_of_lattice(boole_lattice(X0)))) ),
inference(forward_subsumption_resolution,[],[f7597,f5749]) ).
fof(f7599,plain,
! [X2,X0,X1] :
( ~ element(X1,k1_pcomps_1(X0))
| ~ related_reflexive(poset_of_lattice(boole_lattice(X0)),X1,X2)
| related(poset_of_lattice(boole_lattice(X0)),X1,X2)
| ~ element(X2,the_carrier(poset_of_lattice(boole_lattice(X0)))) ),
inference(forward_demodulation,[],[f7598,f6377]) ).
fof(f7600,plain,
! [X2,X0,X1] :
( ~ related_reflexive(poset_of_lattice(boole_lattice(X0)),X1,X2)
| ~ element(X1,k1_pcomps_1(X0))
| ~ element(X2,k1_pcomps_1(X0))
| related(poset_of_lattice(boole_lattice(X0)),X1,X2) ),
inference(forward_demodulation,[],[f7599,f6377]) ).
fof(f7601,plain,
( ~ element(sK538,k1_pcomps_1(sK536))
| ~ element(sK539,k1_pcomps_1(sK536))
| related(poset_of_lattice(boole_lattice(sK536)),sK538,sK539)
| ~ spl580_7
| ~ spl580_8
| ~ spl580_9 ),
inference(resolution,[],[f7600,f7302]) ).
fof(f7606,plain,
( ~ element(sK539,k1_pcomps_1(sK536))
| related(poset_of_lattice(boole_lattice(sK536)),sK538,sK539)
| ~ spl580_7
| ~ spl580_8
| ~ spl580_9 ),
inference(forward_subsumption_resolution,[],[f7601,f7280]) ).
fof(f7608,plain,
( related(poset_of_lattice(boole_lattice(sK536)),sK538,sK539)
| ~ spl580_7
| ~ spl580_8
| ~ spl580_9 ),
inference(forward_subsumption_resolution,[],[f7606,f7266]) ).
fof(f7609,plain,
( $false
| ~ spl580_5
| ~ spl580_7
| ~ spl580_8
| ~ spl580_9
| spl580_10 ),
inference(unit_resulting_resolution,[],[f7342,f6807,f6795,f6787,f6784,f7266,f7608]) ).
fof(f7611,plain,
( ~ spl580_5
| ~ spl580_7
| ~ spl580_8
| ~ spl580_9
| spl580_10 ),
inference(avatar_contradiction_clause,[],[f7609]) ).
fof(f7614,plain,
( element(sK102(poset_of_lattice(boole_lattice(sK536)),sK537),k1_pcomps_1(sK536))
| spl580_5 ),
inference(forward_subsumption_resolution,[],[f7345,f6792]) ).
fof(f7615,plain,
( element(sK103(poset_of_lattice(boole_lattice(sK536)),sK537),k1_pcomps_1(sK536))
| spl580_5 ),
inference(forward_subsumption_resolution,[],[f7346,f6792]) ).
fof(f7616,plain,
( ~ in(sK103(poset_of_lattice(boole_lattice(sK536)),sK537),sK537)
| spl580_5 ),
inference(forward_subsumption_resolution,[],[f7347,f6792]) ).
fof(f7617,plain,
( in(sK102(poset_of_lattice(boole_lattice(sK536)),sK537),sK537)
| spl580_5 ),
inference(forward_subsumption_resolution,[],[f7349,f6792]) ).
fof(f7644,plain,
( subset(sK103(poset_of_lattice(boole_lattice(sK536)),sK537),sK536)
| spl580_5 ),
inference(resolution,[],[f7615,f6349]) ).
fof(f7695,plain,
( ! [X0] :
( ~ in(X0,sK537)
| in(sK103(poset_of_lattice(boole_lattice(sK536)),sK537),sK537)
| ~ subset(X0,sK103(poset_of_lattice(boole_lattice(sK536)),sK537)) )
| spl580_5
| ~ spl580_6 ),
inference(resolution,[],[f7644,f6790]) ).
fof(f7712,plain,
( ! [X0] :
( ~ subset(X0,sK103(poset_of_lattice(boole_lattice(sK536)),sK537))
| ~ in(X0,sK537) )
| spl580_5
| ~ spl580_6 ),
inference(forward_subsumption_resolution,[],[f7695,f7616]) ).
fof(f8003,plain,
! [X0,X1] :
( related(poset_of_lattice(boole_lattice(X0)),sK102(poset_of_lattice(boole_lattice(X0)),X1),sK103(poset_of_lattice(boole_lattice(X0)),X1))
| ~ element(X1,k1_pcomps_1(the_carrier(poset_of_lattice(boole_lattice(X0)))))
| upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X0))) ),
inference(resolution,[],[f5645,f5749]) ).
fof(f8004,plain,
! [X0,X1] :
( related(poset_of_lattice(boole_lattice(X0)),sK102(poset_of_lattice(boole_lattice(X0)),X1),sK103(poset_of_lattice(boole_lattice(X0)),X1))
| ~ element(X1,k1_pcomps_1(k1_pcomps_1(X0)))
| upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X0))) ),
inference(forward_demodulation,[],[f8003,f6377]) ).
fof(f8383,plain,
! [X2,X0,X1] :
( ~ related(poset_of_lattice(boole_lattice(X0)),X1,X2)
| empty_carrier(poset_of_lattice(boole_lattice(X0)))
| related_reflexive(poset_of_lattice(boole_lattice(X0)),X1,X2)
| ~ rel_str(poset_of_lattice(boole_lattice(X0)))
| ~ element(X1,the_carrier(poset_of_lattice(boole_lattice(X0))))
| ~ element(X2,the_carrier(poset_of_lattice(boole_lattice(X0)))) ),
inference(resolution,[],[f4568,f5900]) ).
fof(f8384,plain,
! [X2,X0,X1] :
( ~ related(poset_of_lattice(boole_lattice(X0)),X1,X2)
| related_reflexive(poset_of_lattice(boole_lattice(X0)),X1,X2)
| ~ rel_str(poset_of_lattice(boole_lattice(X0)))
| ~ element(X1,the_carrier(poset_of_lattice(boole_lattice(X0))))
| ~ element(X2,the_carrier(poset_of_lattice(boole_lattice(X0)))) ),
inference(forward_subsumption_resolution,[],[f8383,f5898]) ).
fof(f8385,plain,
! [X2,X0,X1] :
( ~ related(poset_of_lattice(boole_lattice(X0)),X1,X2)
| related_reflexive(poset_of_lattice(boole_lattice(X0)),X1,X2)
| ~ element(X1,the_carrier(poset_of_lattice(boole_lattice(X0))))
| ~ element(X2,the_carrier(poset_of_lattice(boole_lattice(X0)))) ),
inference(forward_subsumption_resolution,[],[f8384,f5749]) ).
fof(f8386,plain,
! [X2,X0,X1] :
( ~ element(X1,k1_pcomps_1(X0))
| ~ related(poset_of_lattice(boole_lattice(X0)),X1,X2)
| related_reflexive(poset_of_lattice(boole_lattice(X0)),X1,X2)
| ~ element(X2,the_carrier(poset_of_lattice(boole_lattice(X0)))) ),
inference(forward_demodulation,[],[f8385,f6377]) ).
fof(f8387,plain,
! [X2,X0,X1] :
( ~ related(poset_of_lattice(boole_lattice(X0)),X1,X2)
| ~ element(X1,k1_pcomps_1(X0))
| ~ element(X2,k1_pcomps_1(X0))
| related_reflexive(poset_of_lattice(boole_lattice(X0)),X1,X2) ),
inference(forward_demodulation,[],[f8386,f6377]) ).
fof(f8390,plain,
! [X0,X1] :
( ~ element(sK102(poset_of_lattice(boole_lattice(X0)),X1),k1_pcomps_1(X0))
| ~ element(sK103(poset_of_lattice(boole_lattice(X0)),X1),k1_pcomps_1(X0))
| related_reflexive(poset_of_lattice(boole_lattice(X0)),sK102(poset_of_lattice(boole_lattice(X0)),X1),sK103(poset_of_lattice(boole_lattice(X0)),X1))
| ~ element(X1,k1_pcomps_1(k1_pcomps_1(X0)))
| upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X0))) ),
inference(resolution,[],[f8387,f8004]) ).
fof(f8392,plain,
! [X0,X1] :
( ~ element(sK103(poset_of_lattice(boole_lattice(X0)),X1),k1_pcomps_1(X0))
| related_reflexive(poset_of_lattice(boole_lattice(X0)),sK102(poset_of_lattice(boole_lattice(X0)),X1),sK103(poset_of_lattice(boole_lattice(X0)),X1))
| ~ element(X1,k1_pcomps_1(k1_pcomps_1(X0)))
| upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X0))) ),
inference(forward_subsumption_resolution,[],[f8390,f7344]) ).
fof(f8393,plain,
! [X0,X1] :
( ~ element(X1,k1_pcomps_1(k1_pcomps_1(X0)))
| related_reflexive(poset_of_lattice(boole_lattice(X0)),sK102(poset_of_lattice(boole_lattice(X0)),X1),sK103(poset_of_lattice(boole_lattice(X0)),X1))
| upper_relstr_subset(X1,poset_of_lattice(boole_lattice(X0))) ),
inference(forward_subsumption_resolution,[],[f8392,f7343]) ).
fof(f8396,plain,
( related_reflexive(poset_of_lattice(boole_lattice(sK536)),sK102(poset_of_lattice(boole_lattice(sK536)),sK537),sK103(poset_of_lattice(boole_lattice(sK536)),sK537))
| upper_relstr_subset(sK537,poset_of_lattice(boole_lattice(sK536))) ),
inference(resolution,[],[f8393,f6784]) ).
fof(f8401,plain,
( related_reflexive(poset_of_lattice(boole_lattice(sK536)),sK102(poset_of_lattice(boole_lattice(sK536)),sK537),sK103(poset_of_lattice(boole_lattice(sK536)),sK537))
| spl580_5 ),
inference(forward_subsumption_resolution,[],[f8396,f6792]) ).
fof(f8403,plain,
( ~ element(sK103(poset_of_lattice(boole_lattice(sK536)),sK537),k1_pcomps_1(sK536))
| subset(sK102(poset_of_lattice(boole_lattice(sK536)),sK537),sK103(poset_of_lattice(boole_lattice(sK536)),sK537))
| ~ element(sK102(poset_of_lattice(boole_lattice(sK536)),sK537),k1_pcomps_1(sK536))
| spl580_5 ),
inference(resolution,[],[f8401,f7189]) ).
fof(f8404,plain,
( subset(sK102(poset_of_lattice(boole_lattice(sK536)),sK537),sK103(poset_of_lattice(boole_lattice(sK536)),sK537))
| ~ element(sK102(poset_of_lattice(boole_lattice(sK536)),sK537),k1_pcomps_1(sK536))
| spl580_5 ),
inference(forward_subsumption_resolution,[],[f8403,f7615]) ).
fof(f8406,plain,
( subset(sK102(poset_of_lattice(boole_lattice(sK536)),sK537),sK103(poset_of_lattice(boole_lattice(sK536)),sK537))
| spl580_5 ),
inference(forward_subsumption_resolution,[],[f8404,f7614]) ).
fof(f8413,plain,
( ~ in(sK102(poset_of_lattice(boole_lattice(sK536)),sK537),sK537)
| spl580_5
| ~ spl580_6 ),
inference(resolution,[],[f8406,f7712]) ).
fof(f8434,plain,
( $false
| spl580_5
| ~ spl580_6 ),
inference(forward_subsumption_resolution,[],[f8413,f7617]) ).
fof(f8435,plain,
( spl580_5
| ~ spl580_6 ),
inference(avatar_contradiction_clause,[],[f8434]) ).
cnf(s3,plain,
( spl580_5
| spl580_6 ),
inference(sat_conversion,[],[f6791]) ).
cnf(s4,plain,
( ~ spl580_5
| spl580_7 ),
inference(sat_conversion,[],[f6796]) ).
cnf(s5,plain,
( ~ spl580_5
| spl580_8 ),
inference(sat_conversion,[],[f6800]) ).
cnf(s6,plain,
( ~ spl580_5
| spl580_9 ),
inference(sat_conversion,[],[f6804]) ).
cnf(s7,plain,
( ~ spl580_5
| ~ spl580_10 ),
inference(sat_conversion,[],[f6808]) ).
cnf(s83,plain,
( ~ spl580_5
| ~ spl580_7
| ~ spl580_8
| ~ spl580_9
| spl580_10 ),
inference(sat_conversion,[],[f7611]) ).
cnf(s128,plain,
( spl580_5
| ~ spl580_6 ),
inference(sat_conversion,[],[f8435]) ).
cnf(s129,plain,
spl580_5,
inference(rat,[],[s3,s128]) ).
cnf(s130,plain,
~ spl580_10,
inference(rat,[],[s7,s129]) ).
cnf(s131,plain,
spl580_9,
inference(rat,[],[s6,s129]) ).
cnf(s132,plain,
spl580_8,
inference(rat,[],[s5,s129]) ).
cnf(s133,plain,
spl580_7,
inference(rat,[],[s4,s129]) ).
cnf(s135,plain,
$false,
inference(rat,[],[s83,s130,s131,s129,s132,s133]) ).
fof(f8437,plain,
$false,
inference(avatar_sat_refutation,[],[s135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU381+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n011.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 05:01:46 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 8.88/2.33 % (3028674)Detected formulas, will run a generic FOF schedule.
% 8.88/2.33 % (3028680)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=2796171914:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.88/2.33 % (3028681)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=2390139582:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.88/2.33 % (3028684)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3985176208:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.88/2.33 % (3028679)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=3154164117:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.88/2.33 % (3028682)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=341841815:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.88/2.33 % (3028683)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1567478438:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.88/2.33 % (3028685)dis-21_1_sil=8000:lcm=predicate:random_seed=3364963476: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)
% 8.88/2.33 % (3028682)Instruction limit reached!
% 8.88/2.33 % (3028682)------------------------------
% 8.88/2.33 % (3028682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.33 % (3028682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.33 % (3028682)CaDiCaL version: 2.1.3
% 8.88/2.33 % (3028682)Termination reason: Instruction limit
% 8.88/2.33 % (3028682)Termination phase: Blocked clause elimination
% 8.88/2.33 % (3028682)Time elapsed: 0.060 s
% 8.88/2.33 % (3028682)Peak memory usage: 90 MB
% 8.88/2.33 % (3028682)Instructions burned: 110 (million)
% 8.88/2.33 % (3028683)Instruction limit reached!
% 8.88/2.33 % (3028683)------------------------------
% 8.88/2.33 % (3028683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.33 % (3028683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.33 % (3028683)CaDiCaL version: 2.1.3
% 8.88/2.33 % (3028683)Termination reason: Instruction limit
% 8.88/2.33 % (3028683)Termination phase: Saturation
% 8.88/2.33 % (3028683)Time elapsed: 0.068 s
% 8.88/2.33 % (3028683)Peak memory usage: 91 MB
% 8.88/2.33 % (3028683)Instructions burned: 120 (million)
% 8.88/2.33 % (3028684)Instruction limit reached!
% 8.88/2.33 % (3028684)------------------------------
% 8.88/2.33 % (3028684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.33 % (3028684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.33 % (3028684)CaDiCaL version: 2.1.3
% 8.88/2.33 % (3028684)Termination reason: Instruction limit
% 8.88/2.33 % (3028684)Termination phase: Saturation
% 8.88/2.33 % (3028684)Time elapsed: 0.081 s
% 8.88/2.33 % (3028684)Peak memory usage: 92 MB
% 8.88/2.33 % (3028684)Instructions burned: 140 (million)
% 8.88/2.33 % (3028685)Instruction limit reached!
% 8.88/2.33 % (3028685)------------------------------
% 8.88/2.33 % (3028685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.33 % (3028685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.33 % (3028685)CaDiCaL version: 2.1.3
% 8.88/2.33 % (3028685)Termination reason: Instruction limit
% 8.88/2.33 % (3028685)Termination phase: Saturation
% 8.88/2.33 % (3028685)Time elapsed: 0.067 s
% 8.88/2.33 % (3028685)Peak memory usage: 92 MB
% 8.88/2.33 % (3028685)Instructions burned: 130 (million)
% 8.88/2.33 % (3028693)lrs+10_1_sil=8000:sp=occurrence:random_seed=3841125157:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.88/2.33 % (3028695)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3368983752:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.88/2.33 % (3028694)lrs+10_1_sil=32000:urr=on:br=off:random_seed=626096233:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.88/2.33 % (3028696)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=276794765:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.88/2.33 % (3028694)Instruction limit reached!
% 8.88/2.33 % (3028694)------------------------------
% 8.88/2.33 % (3028694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.33 % (3028694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.33 % (3028694)CaDiCaL version: 2.1.3
% 8.88/2.33 % (3028694)Termination reason: Instruction limit
% 8.88/2.33 % (3028694)Termination phase: Saturation
% 8.88/2.33 % (3028694)Time elapsed: 0.092 s
% 8.88/2.33 % (3028694)Peak memory usage: 91 MB
% 8.88/2.33 % (3028694)Instructions burned: 159 (million)
% 8.88/2.33 % (3028693)Instruction limit reached!
% 8.88/2.33 % (3028693)------------------------------
% 8.88/2.33 % (3028693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.33 % (3028693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.33 % (3028693)CaDiCaL version: 2.1.3
% 8.88/2.33 % (3028693)Termination reason: Instruction limit
% 8.88/2.33 % (3028693)Termination phase: Saturation
% 8.88/2.33 % (3028693)Time elapsed: 0.176 s
% 8.88/2.33 % (3028693)Peak memory usage: 95 MB
% 8.88/2.33 % (3028693)Instructions burned: 286 (million)
% 8.88/2.33 % (3028696)Instruction limit reached!
% 8.88/2.33 % (3028696)------------------------------
% 8.88/2.33 % (3028696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.33 % (3028696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.33 % (3028696)CaDiCaL version: 2.1.3
% 8.88/2.33 % (3028696)Termination reason: Instruction limit
% 8.88/2.33 % (3028696)Termination phase: Saturation
% 8.88/2.33 % (3028696)Time elapsed: 0.154 s
% 8.88/2.33 % (3028696)Peak memory usage: 94 MB
% 8.88/2.33 % (3028696)Instructions burned: 249 (million)
% 8.88/2.33 % (3028701)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4144785081:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.88/2.33 % (3028695)Instruction limit reached!
% 8.88/2.33 % (3028695)------------------------------
% 8.88/2.33 % (3028695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.33 % (3028695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.33 % (3028695)CaDiCaL version: 2.1.3
% 8.88/2.33 % (3028695)Termination reason: Instruction limit
% 8.88/2.33 % (3028695)Termination phase: Saturation
% 8.88/2.33 % (3028695)Time elapsed: 0.209 s
% 8.88/2.33 % (3028695)Peak memory usage: 96 MB
% 8.88/2.33 % (3028695)Instructions burned: 326 (million)
% 8.88/2.33 % (3028702)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4048302180:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.88/2.33 % (3028701)Instruction limit reached!
% 8.88/2.33 % (3028701)------------------------------
% 8.88/2.33 % (3028701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.33 % (3028701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.33 % (3028701)CaDiCaL version: 2.1.3
% 8.88/2.33 % (3028701)Termination reason: Instruction limit
% 8.88/2.33 % (3028701)Termination phase: Saturation
% 8.88/2.33 % (3028701)Time elapsed: 0.100 s
% 8.88/2.33 % (3028701)Peak memory usage: 94 MB
% 8.88/2.33 % (3028701)Instructions burned: 296 (million)
% 8.88/2.33 % (3028703)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1484060710:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.88/2.33 % (3028705)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1663820321:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.88/2.33 % (3028703)Instruction limit reached!
% 8.88/2.33 % (3028703)------------------------------
% 8.88/2.33 % (3028703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.33 % (3028703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.33 % (3028703)CaDiCaL version: 2.1.3
% 8.88/2.33 % (3028703)Termination reason: Instruction limit
% 8.88/2.33 % (3028703)Termination phase: Saturation
% 8.88/2.33 % (3028703)Time elapsed: 0.064 s
% 8.88/2.33 % (3028703)Peak memory usage: 92 MB
% 8.88/2.33 % (3028703)Instructions burned: 113 (million)
% 8.88/2.33 % (3028707)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=357626885:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 8.88/2.33 % (3028707)Instruction limit reached!
% 8.88/2.33 % (3028707)------------------------------
% 8.88/2.33 % (3028707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.33 % (3028707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.33 % (3028707)CaDiCaL version: 2.1.3
% 8.88/2.33 % (3028707)Termination reason: Instruction limit
% 8.88/2.33 % (3028707)Termination phase: Saturation
% 8.88/2.33 % (3028707)Time elapsed: 0.039 s
% 8.88/2.33 % (3028707)Peak memory usage: 90 MB
% 8.88/2.33 % (3028707)Instructions burned: 114 (million)
% 8.88/2.33 % (3028705)Instruction limit reached!
% 8.88/2.33 % (3028705)------------------------------
% 8.88/2.33 % (3028705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.33 % (3028705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.33 % (3028705)CaDiCaL version: 2.1.3
% 8.88/2.33 % (3028705)Termination reason: Instruction limit
% 8.88/2.33 % (3028705)Termination phase: Blocked clause elimination
% 8.88/2.33 % (3028705)Time elapsed: 0.073 s
% 8.88/2.33 % (3028705)Peak memory usage: 90 MB
% 8.88/2.33 % (3028705)Instructions burned: 128 (million)
% 8.88/2.33 % (3028710)lrs+10_1_sil=8000:sp=occurrence:random_seed=2684235019:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.88/2.33 % (3028712)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2741618016:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.88/2.33 % (3028713)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=560870398:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.88/2.33 % (3028712)Instruction limit reached!
% 8.88/2.33 % (3028712)------------------------------
% 8.88/2.33 % (3028712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.33 % (3028680)First to succeed.
% 8.88/2.33 % (3028712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.33 % (3028712)CaDiCaL version: 2.1.3
% 8.88/2.33 % (3028712)Termination reason: Instruction limit
% 8.88/2.33 % (3028712)Termination phase: Saturation
% 8.88/2.33 % (3028712)Time elapsed: 0.262 s
% 8.88/2.33 % (3028712)Peak memory usage: 96 MB
% 8.88/2.33 % (3028712)Instructions burned: 438 (million)
% 8.88/2.33 % (3028680)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3028674"
% 8.88/2.33 % (3028710)Instruction limit reached!
% 8.88/2.33 % (3028710)------------------------------
% 8.88/2.33 % (3028710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.33 % (3028710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.33 % (3028710)CaDiCaL version: 2.1.3
% 8.88/2.33 % (3028710)Termination reason: Instruction limit
% 8.88/2.33 % (3028710)Termination phase: Saturation
% 8.88/2.33 % (3028710)Time elapsed: 0.444 s
% 8.88/2.33 % (3028710)Peak memory usage: 105 MB
% 8.88/2.33 % (3028710)Instructions burned: 907 (million)
% 8.88/2.33 % (3028717)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1512758501:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 8.88/2.33 % (3028717)Instruction limit reached!
% 8.88/2.33 % (3028717)------------------------------
% 8.88/2.33 % (3028717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.33 % (3028717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.33 % (3028717)CaDiCaL version: 2.1.3
% 8.88/2.33 % (3028717)Termination reason: Instruction limit
% 8.88/2.33 % (3028717)Termination phase: Saturation
% 8.88/2.33 % (3028717)Time elapsed: 0.069 s
% 8.88/2.33 % (3028717)Peak memory usage: 91 MB
% 8.88/2.33 % (3028717)Instructions burned: 135 (million)
% 8.88/2.33 % (3028718)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3056234584:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 8.88/2.33 % (3028680)Refutation found. Thanks to Tanya!
% 8.88/2.33 % SZS status Theorem for theBenchmark
% 8.88/2.33 % SZS output start Proof for theBenchmark
% See solution above
% 10.82/2.53 % (3028680)------------------------------
% 10.82/2.53 % (3028680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.82/2.53 % (3028680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.82/2.53 % (3028680)CaDiCaL version: 2.1.3
% 10.82/2.53 % (3028680)Termination reason: Refutation
% 10.82/2.53 % (3028680)Time elapsed: 1.069 s
% 10.82/2.53 % (3028680)Peak memory usage: 164 MB
% 10.82/2.53 % (3028680)Instructions burned: 2184 (million)
% 10.82/2.53 % (3028680)------------------------------
% 10.82/2.53 % (3028680)------------------------------
% 10.82/2.53 % (3028674)Success in time 1.481 s
% 10.82/2.53 % Vampire exiting
%------------------------------------------------------------------------------