%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU318+2 : 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 : n002.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 12:48:19 PM UTC 2026
% Result : Theorem 11.18s 2.50s
% Output : Refutation 11.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 18
% Syntax : Number of formulae : 164 ( 20 unt; 7 def)
% Number of atoms : 636 ( 48 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 820 ( 348 ~; 362 |; 70 &)
% ( 12 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 203 ( 1 sgn 189 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f158,axiom,
! [X0,X1] :
( ( top_str(X0)
& element(X1,powerset(the_carrier(X0))) )
=> element(topstr_closure(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
fof(f261,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( in(X2,X1)
=> in(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_subset_1) ).
fof(f268,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l71_subset_1) ).
fof(f309,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f443,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f451,axiom,
! [X0] :
( ( topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ( in(X2,X1)
=> closed_subset(X2,X0) ) )
=> closed_subset(meet_of_subsets(the_carrier(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_pre_topc) ).
fof(f453,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( in(X2,the_carrier(X0))
=> ( in(X2,topstr_closure(X0,X1))
<=> ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( ( closed_subset(X3,X0)
& subset(X1,X3) )
=> in(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_pre_topc) ).
fof(f457,axiom,
! [X0] :
( ( topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ? [X2] :
( element(X2,powerset(powerset(the_carrier(X0))))
& ! [X3] :
( element(X3,powerset(the_carrier(X0)))
=> ( in(X3,X2)
<=> ( closed_subset(X3,X0)
& subset(X1,X3) ) ) )
& topstr_closure(X0,X1) = meet_of_subsets(the_carrier(X0),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_pre_topc) ).
fof(f463,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> subset(X1,topstr_closure(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_pre_topc) ).
fof(f472,conjecture,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( closed_subset(X1,X0)
=> topstr_closure(X0,X1) = X1 )
& ( ( topological_space(X0)
& topstr_closure(X0,X1) = X1 )
=> closed_subset(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_pre_topc) ).
fof(f473,negated_conjecture,
~ ! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( closed_subset(X1,X0)
=> topstr_closure(X0,X1) = X1 )
& ( ( topological_space(X0)
& topstr_closure(X0,X1) = X1 )
=> closed_subset(X1,X0) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f472]) ).
fof(f528,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f309]) ).
fof(f712,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f158]) ).
fof(f713,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f712]) ).
fof(f804,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f261]) ).
fof(f811,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) ),
inference(ennf_transformation,[],[f268]) ).
fof(f1019,plain,
! [X0] :
( ! [X1] :
( closed_subset(meet_of_subsets(the_carrier(X0),X1),X0)
| ? [X2] :
( ~ closed_subset(X2,X0)
& in(X2,X1)
& element(X2,powerset(the_carrier(X0))) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f451]) ).
fof(f1020,plain,
! [X0] :
( ! [X1] :
( closed_subset(meet_of_subsets(the_carrier(X0),X1),X0)
| ? [X2] :
( ~ closed_subset(X2,X0)
& in(X2,X1)
& element(X2,powerset(the_carrier(X0))) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f1019]) ).
fof(f1022,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( in(X2,topstr_closure(X0,X1))
<=> ! [X3] :
( in(X2,X3)
| ~ closed_subset(X3,X0)
| ~ subset(X1,X3)
| ~ element(X3,powerset(the_carrier(X0))) ) )
| ~ in(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f453]) ).
fof(f1023,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( in(X2,topstr_closure(X0,X1))
<=> ! [X3] :
( in(X2,X3)
| ~ closed_subset(X3,X0)
| ~ subset(X1,X3)
| ~ element(X3,powerset(the_carrier(X0))) ) )
| ~ in(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(flattening,[],[f1022]) ).
fof(f1028,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( element(X2,powerset(powerset(the_carrier(X0))))
& ! [X3] :
( ( in(X3,X2)
<=> ( closed_subset(X3,X0)
& subset(X1,X3) ) )
| ~ element(X3,powerset(the_carrier(X0))) )
& topstr_closure(X0,X1) = meet_of_subsets(the_carrier(X0),X2) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f457]) ).
fof(f1029,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( element(X2,powerset(powerset(the_carrier(X0))))
& ! [X3] :
( ( in(X3,X2)
<=> ( closed_subset(X3,X0)
& subset(X1,X3) ) )
| ~ element(X3,powerset(the_carrier(X0))) )
& topstr_closure(X0,X1) = meet_of_subsets(the_carrier(X0),X2) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f1028]) ).
fof(f1039,plain,
! [X0] :
( ! [X1] :
( subset(X1,topstr_closure(X0,X1))
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f463]) ).
fof(f1050,plain,
? [X0] :
( ? [X1] :
( ( ( topstr_closure(X0,X1) != X1
& closed_subset(X1,X0) )
| ( ~ closed_subset(X1,X0)
& topological_space(X0)
& topstr_closure(X0,X1) = X1 ) )
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(ennf_transformation,[],[f473]) ).
fof(f1051,plain,
? [X0] :
( ? [X1] :
( ( ( topstr_closure(X0,X1) != X1
& closed_subset(X1,X0) )
| ( ~ closed_subset(X1,X0)
& topological_space(X0)
& topstr_closure(X0,X1) = X1 ) )
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(flattening,[],[f1050]) ).
fof(f1179,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f1180,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f1179]) ).
fof(f1393,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ( ~ in(sK159(X0,X1),X1)
& in(sK159(X0,X1),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK159]),skolemize(X2,sK159(X0,X1))],[f811]) ).
fof(f1656,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f443]) ).
fof(f1663,plain,
! [X0] :
( ! [X1] :
( closed_subset(meet_of_subsets(the_carrier(X0),X1),X0)
| ( ~ closed_subset(sK380(X0,X1),X0)
& in(sK380(X0,X1),X1)
& element(sK380(X0,X1),powerset(the_carrier(X0))) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK380]),skolemize(X2,sK380(X0,X1))],[f1020]) ).
fof(f1664,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( in(X2,topstr_closure(X0,X1))
| ? [X3] :
( ~ in(X2,X3)
& closed_subset(X3,X0)
& subset(X1,X3)
& element(X3,powerset(the_carrier(X0))) ) )
& ( ! [X3] :
( in(X2,X3)
| ~ closed_subset(X3,X0)
| ~ subset(X1,X3)
| ~ element(X3,powerset(the_carrier(X0))) )
| ~ in(X2,topstr_closure(X0,X1)) ) )
| ~ in(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f1023]) ).
fof(f1665,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( in(X2,topstr_closure(X0,X1))
| ? [X3] :
( ~ in(X2,X3)
& closed_subset(X3,X0)
& subset(X1,X3)
& element(X3,powerset(the_carrier(X0))) ) )
& ( ! [X4] :
( in(X2,X4)
| ~ closed_subset(X4,X0)
| ~ subset(X1,X4)
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X2,topstr_closure(X0,X1)) ) )
| ~ in(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(rectify,[],[f1664]) ).
fof(f1666,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( in(X2,topstr_closure(X0,X1))
| ( ~ in(X2,sK381(X0,X1,X2))
& closed_subset(sK381(X0,X1,X2),X0)
& subset(X1,sK381(X0,X1,X2))
& element(sK381(X0,X1,X2),powerset(the_carrier(X0))) ) )
& ( ! [X4] :
( in(X2,X4)
| ~ closed_subset(X4,X0)
| ~ subset(X1,X4)
| ~ element(X4,powerset(the_carrier(X0))) )
| ~ in(X2,topstr_closure(X0,X1)) ) )
| ~ in(X2,the_carrier(X0)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK381]),skolemize(X3,sK381(X0,X1,X2))],[f1665]) ).
fof(f1669,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( element(X2,powerset(powerset(the_carrier(X0))))
& ! [X3] :
( ( ( in(X3,X2)
| ~ closed_subset(X3,X0)
| ~ subset(X1,X3) )
& ( ( closed_subset(X3,X0)
& subset(X1,X3) )
| ~ in(X3,X2) ) )
| ~ element(X3,powerset(the_carrier(X0))) )
& topstr_closure(X0,X1) = meet_of_subsets(the_carrier(X0),X2) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f1029]) ).
fof(f1670,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( element(X2,powerset(powerset(the_carrier(X0))))
& ! [X3] :
( ( ( in(X3,X2)
| ~ closed_subset(X3,X0)
| ~ subset(X1,X3) )
& ( ( closed_subset(X3,X0)
& subset(X1,X3) )
| ~ in(X3,X2) ) )
| ~ element(X3,powerset(the_carrier(X0))) )
& topstr_closure(X0,X1) = meet_of_subsets(the_carrier(X0),X2) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f1669]) ).
fof(f1671,plain,
! [X0] :
( ! [X1] :
( ( element(sK382(X0,X1),powerset(powerset(the_carrier(X0))))
& ! [X3] :
( ( ( in(X3,sK382(X0,X1))
| ~ closed_subset(X3,X0)
| ~ subset(X1,X3) )
& ( ( closed_subset(X3,X0)
& subset(X1,X3) )
| ~ in(X3,sK382(X0,X1)) ) )
| ~ element(X3,powerset(the_carrier(X0))) )
& topstr_closure(X0,X1) = meet_of_subsets(the_carrier(X0),sK382(X0,X1)) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK382]),skolemize(X2,sK382(X0,X1))],[f1670]) ).
fof(f1673,plain,
( ( ( sK385 != topstr_closure(sK384,sK385)
& closed_subset(sK385,sK384) )
| ( ~ closed_subset(sK385,sK384)
& topological_space(sK384)
& sK385 = topstr_closure(sK384,sK385) ) )
& element(sK385,powerset(the_carrier(sK384)))
& top_str(sK384) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK384,sK385]),skolemize(X0,sK384),skolemize(X1,sK385)],[f1051]) ).
fof(f1767,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f1180]) ).
fof(f2122,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f713]) ).
fof(f2310,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X0))
| ~ in(X2,X1)
| in(X2,X0) ),
inference(cnf_transformation,[],[f804]) ).
fof(f2329,plain,
! [X0,X1] :
( in(sK159(X0,X1),X0)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f1393]) ).
fof(f2330,plain,
! [X0,X1] :
( ~ in(sK159(X0,X1),X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f1393]) ).
fof(f2432,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f528]) ).
fof(f2943,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f1656]) ).
fof(f2960,plain,
! [X0,X1] :
( element(sK380(X0,X1),powerset(the_carrier(X0)))
| closed_subset(meet_of_subsets(the_carrier(X0),X1),X0)
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1663]) ).
fof(f2961,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| in(sK380(X0,X1),X1)
| closed_subset(meet_of_subsets(the_carrier(X0),X1),X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1663]) ).
fof(f2962,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ closed_subset(sK380(X0,X1),X0)
| closed_subset(meet_of_subsets(the_carrier(X0),X1),X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1663]) ).
fof(f2964,plain,
! [X2,X0,X1,X4] :
( ~ element(X4,powerset(the_carrier(X0)))
| ~ closed_subset(X4,X0)
| ~ subset(X1,X4)
| in(X2,X4)
| ~ in(X2,topstr_closure(X0,X1))
| ~ in(X2,the_carrier(X0))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1666]) ).
fof(f2974,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| topstr_closure(X0,X1) = meet_of_subsets(the_carrier(X0),sK382(X0,X1))
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1671]) ).
fof(f2976,plain,
! [X3,X0,X1] :
( ~ element(X3,powerset(the_carrier(X0)))
| ~ in(X3,sK382(X0,X1))
| closed_subset(X3,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1671]) ).
fof(f2978,plain,
! [X0,X1] :
( element(sK382(X0,X1),powerset(powerset(the_carrier(X0))))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1671]) ).
fof(f2984,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| subset(X1,topstr_closure(X0,X1))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1039]) ).
fof(f2994,plain,
top_str(sK384),
inference(cnf_transformation,[],[f1673]) ).
fof(f2995,plain,
element(sK385,powerset(the_carrier(sK384))),
inference(cnf_transformation,[],[f1673]) ).
fof(f2996,plain,
( closed_subset(sK385,sK384)
| sK385 = topstr_closure(sK384,sK385) ),
inference(cnf_transformation,[],[f1673]) ).
fof(f3000,plain,
( sK385 != topstr_closure(sK384,sK385)
| topological_space(sK384) ),
inference(cnf_transformation,[],[f1673]) ).
fof(f3001,plain,
( sK385 != topstr_closure(sK384,sK385)
| ~ closed_subset(sK385,sK384) ),
inference(cnf_transformation,[],[f1673]) ).
fof(f3647,definition,
sF394 = topstr_closure(sK384,sK385),
introduced(definition,[new_symbols(definition,[sF394])],[function_definition]) ).
fof(f3648,plain,
topstr_closure(sK384,sK385) = sF394,
inference(reorient_equations,[],[f3647]) ).
fof(f3649,plain,
( sK385 != sF394
| ~ closed_subset(sK385,sK384) ),
inference(definition_folding,[],[f3001,f3648]) ).
fof(f3650,plain,
( sK385 != sF394
| topological_space(sK384) ),
inference(definition_folding,[],[f3000,f3648]) ).
fof(f3652,plain,
( closed_subset(sK385,sK384)
| sK385 = sF394 ),
inference(definition_folding,[],[f2996,f3648]) ).
fof(f3653,definition,
sF395 = the_carrier(sK384),
introduced(definition,[new_symbols(definition,[sF395])],[function_definition]) ).
fof(f3654,plain,
the_carrier(sK384) = sF395,
inference(reorient_equations,[],[f3653]) ).
fof(f3655,definition,
sF396 = powerset(sF395),
introduced(definition,[new_symbols(definition,[sF396])],[function_definition]) ).
fof(f3656,plain,
powerset(sF395) = sF396,
inference(reorient_equations,[],[f3655]) ).
fof(f3657,plain,
element(sK385,sF396),
inference(definition_folding,[],[f2995,f3656,f3654]) ).
fof(f3668,definition,
( spl397_1
<=> sK385 = sF394 ),
introduced(definition,[new_symbols(definition,[spl397_1])],[avatar_definition]) ).
fof(f3669,plain,
( sK385 != sF394
| spl397_1 ),
inference(avatar_component_clause,[],[f3668]) ).
fof(f3670,plain,
( sK385 = sF394
| ~ spl397_1 ),
inference(avatar_component_clause,[],[f3668]) ).
fof(f3672,definition,
( spl397_2
<=> closed_subset(sK385,sK384) ),
introduced(definition,[new_symbols(definition,[spl397_2])],[avatar_definition]) ).
fof(f3673,plain,
( ~ closed_subset(sK385,sK384)
| spl397_2 ),
inference(avatar_component_clause,[],[f3672]) ).
fof(f3674,plain,
( closed_subset(sK385,sK384)
| ~ spl397_2 ),
inference(avatar_component_clause,[],[f3672]) ).
fof(f3675,plain,
( spl397_1
| spl397_2 ),
inference(avatar_split_clause,[],[f3652,f3672,f3668]) ).
fof(f3677,definition,
( spl397_3
<=> topological_space(sK384) ),
introduced(definition,[new_symbols(definition,[spl397_3])],[avatar_definition]) ).
fof(f3679,plain,
( topological_space(sK384)
| ~ spl397_3 ),
inference(avatar_component_clause,[],[f3677]) ).
fof(f3681,plain,
( spl397_3
| ~ spl397_1 ),
inference(avatar_split_clause,[],[f3650,f3668,f3677]) ).
fof(f3682,plain,
( ~ spl397_2
| ~ spl397_1 ),
inference(avatar_split_clause,[],[f3649,f3668,f3672]) ).
fof(f3964,plain,
( element(sF394,powerset(the_carrier(sK384)))
| ~ top_str(sK384)
| ~ element(sK385,powerset(the_carrier(sK384))) ),
inference(superposition,[],[f2122,f3648]) ).
fof(f3967,plain,
( element(sF394,powerset(the_carrier(sK384)))
| ~ element(sK385,powerset(the_carrier(sK384))) ),
inference(forward_subsumption_resolution,[],[f3964,f2994]) ).
fof(f3969,plain,
( element(sF394,powerset(sF395))
| ~ element(sK385,powerset(the_carrier(sK384))) ),
inference(forward_demodulation,[],[f3967,f3654]) ).
fof(f3971,plain,
( element(sF394,sF396)
| ~ element(sK385,powerset(the_carrier(sK384))) ),
inference(forward_demodulation,[],[f3969,f3656]) ).
fof(f3972,plain,
( ~ element(sK385,powerset(sF395))
| element(sF394,sF396) ),
inference(forward_demodulation,[],[f3971,f3654]) ).
fof(f3973,plain,
( ~ element(sK385,sF396)
| element(sF394,sF396) ),
inference(forward_demodulation,[],[f3972,f3656]) ).
fof(f3974,plain,
element(sF394,sF396),
inference(forward_subsumption_resolution,[],[f3973,f3657]) ).
fof(f3977,plain,
! [X0] :
( ~ element(X0,powerset(sF395))
| subset(X0,topstr_closure(sK384,X0))
| ~ top_str(sK384) ),
inference(superposition,[],[f2984,f3654]) ).
fof(f3979,plain,
! [X0] :
( ~ element(X0,powerset(sF395))
| subset(X0,topstr_closure(sK384,X0)) ),
inference(forward_subsumption_resolution,[],[f3977,f2994]) ).
fof(f3980,plain,
! [X0] :
( subset(X0,topstr_closure(sK384,X0))
| ~ element(X0,sF396) ),
inference(forward_demodulation,[],[f3979,f3656]) ).
fof(f3981,plain,
( subset(sK385,sF394)
| ~ element(sK385,sF396) ),
inference(superposition,[],[f3980,f3648]) ).
fof(f3982,plain,
subset(sK385,sF394),
inference(forward_subsumption_resolution,[],[f3981,f3657]) ).
fof(f3984,plain,
! [X0] :
( ~ element(X0,powerset(sF395))
| topstr_closure(sK384,X0) = meet_of_subsets(sF395,sK382(sK384,X0))
| ~ topological_space(sK384)
| ~ top_str(sK384) ),
inference(superposition,[],[f2974,f3654]) ).
fof(f3986,plain,
! [X0] :
( ~ element(X0,powerset(sF395))
| topstr_closure(sK384,X0) = meet_of_subsets(sF395,sK382(sK384,X0))
| ~ topological_space(sK384) ),
inference(forward_subsumption_resolution,[],[f3984,f2994]) ).
fof(f3987,plain,
! [X0] :
( ~ element(X0,sF396)
| topstr_closure(sK384,X0) = meet_of_subsets(sF395,sK382(sK384,X0))
| ~ topological_space(sK384) ),
inference(forward_demodulation,[],[f3986,f3656]) ).
fof(f3989,definition,
( spl397_58
<=> ! [X0] :
( ~ element(X0,sF396)
| topstr_closure(sK384,X0) = meet_of_subsets(sF395,sK382(sK384,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl397_58])],[avatar_definition]) ).
fof(f3990,plain,
( ! [X0] :
( ~ element(X0,sF396)
| topstr_closure(sK384,X0) = meet_of_subsets(sF395,sK382(sK384,X0)) )
| ~ spl397_58 ),
inference(avatar_component_clause,[],[f3989]) ).
fof(f3991,plain,
( ~ spl397_3
| spl397_58 ),
inference(avatar_split_clause,[],[f3987,f3989,f3677]) ).
fof(f3992,plain,
! [X0] :
( ~ element(X0,powerset(powerset(sF395)))
| in(sK380(sK384,X0),X0)
| closed_subset(meet_of_subsets(sF395,X0),sK384)
| ~ topological_space(sK384)
| ~ top_str(sK384) ),
inference(superposition,[],[f2961,f3654]) ).
fof(f3993,plain,
! [X0] :
( ~ element(X0,powerset(powerset(sF395)))
| ~ closed_subset(sK380(sK384,X0),sK384)
| closed_subset(meet_of_subsets(sF395,X0),sK384)
| ~ topological_space(sK384)
| ~ top_str(sK384) ),
inference(superposition,[],[f2962,f3654]) ).
fof(f3998,plain,
! [X0,X1] :
( ~ element(X0,powerset(sF395))
| ~ in(X0,sK382(sK384,X1))
| closed_subset(X0,sK384)
| ~ element(X1,powerset(sF395))
| ~ topological_space(sK384)
| ~ top_str(sK384) ),
inference(superposition,[],[f2976,f3654]) ).
fof(f4001,plain,
! [X2,X0,X1] :
( ~ element(X0,powerset(sF395))
| ~ closed_subset(X0,sK384)
| ~ subset(X1,X0)
| in(X2,X0)
| ~ in(X2,topstr_closure(sK384,X1))
| ~ in(X2,sF395)
| ~ element(X1,powerset(sF395))
| ~ top_str(sK384) ),
inference(superposition,[],[f2964,f3654]) ).
fof(f4003,plain,
! [X2,X0,X1] :
( ~ element(X0,powerset(sF395))
| ~ closed_subset(X0,sK384)
| ~ subset(X1,X0)
| in(X2,X0)
| ~ in(X2,topstr_closure(sK384,X1))
| ~ in(X2,sF395)
| ~ element(X1,powerset(sF395)) ),
inference(forward_subsumption_resolution,[],[f4001,f2994]) ).
fof(f4004,plain,
! [X2,X0,X1] :
( ~ element(X0,sF396)
| ~ closed_subset(X0,sK384)
| ~ subset(X1,X0)
| in(X2,X0)
| ~ in(X2,topstr_closure(sK384,X1))
| ~ in(X2,sF395)
| ~ element(X1,powerset(sF395)) ),
inference(forward_demodulation,[],[f4003,f3656]) ).
fof(f4005,plain,
! [X2,X0,X1] :
( ~ in(X2,topstr_closure(sK384,X1))
| ~ element(X0,sF396)
| ~ closed_subset(X0,sK384)
| ~ subset(X1,X0)
| in(X2,X0)
| ~ element(X1,sF396)
| ~ in(X2,sF395) ),
inference(forward_demodulation,[],[f4004,f3656]) ).
fof(f4006,plain,
! [X0,X1] :
( ~ in(X0,sF394)
| ~ element(X1,sF396)
| ~ closed_subset(X1,sK384)
| ~ subset(sK385,X1)
| in(X0,X1)
| ~ element(sK385,sF396)
| ~ in(X0,sF395) ),
inference(superposition,[],[f4005,f3648]) ).
fof(f4007,plain,
! [X0,X1] :
( ~ closed_subset(X1,sK384)
| ~ element(X1,sF396)
| ~ in(X0,sF394)
| ~ subset(sK385,X1)
| in(X0,X1)
| ~ in(X0,sF395) ),
inference(forward_subsumption_resolution,[],[f4006,f3657]) ).
fof(f4008,plain,
( ! [X0] :
( ~ element(sK385,sF396)
| ~ in(X0,sF394)
| ~ subset(sK385,sK385)
| in(X0,sK385)
| ~ in(X0,sF395) )
| ~ spl397_2 ),
inference(resolution,[],[f4007,f3674]) ).
fof(f4009,plain,
( ! [X0] :
( ~ in(X0,sF394)
| ~ subset(sK385,sK385)
| in(X0,sK385)
| ~ in(X0,sF395) )
| ~ spl397_2 ),
inference(forward_subsumption_resolution,[],[f4008,f3657]) ).
fof(f4010,plain,
( ! [X0] :
( ~ in(X0,sF395)
| in(X0,sK385)
| ~ in(X0,sF394) )
| ~ spl397_2 ),
inference(forward_subsumption_resolution,[],[f4009,f2432]) ).
fof(f4027,plain,
! [X0] :
( element(sK380(sK384,X0),powerset(sF395))
| closed_subset(meet_of_subsets(sF395,X0),sK384)
| ~ element(X0,powerset(powerset(sF395)))
| ~ topological_space(sK384)
| ~ top_str(sK384) ),
inference(superposition,[],[f2960,f3654]) ).
fof(f4322,plain,
! [X0,X1] :
( ~ element(X0,sF396)
| ~ in(X1,X0)
| in(X1,sF395) ),
inference(superposition,[],[f2310,f3656]) ).
fof(f4420,plain,
! [X0] :
( ~ in(X0,sF394)
| in(X0,sF395) ),
inference(resolution,[],[f4322,f3974]) ).
fof(f4422,plain,
! [X0] :
( in(sK159(sF394,X0),sF395)
| element(sF394,powerset(X0)) ),
inference(resolution,[],[f4420,f2329]) ).
fof(f4841,plain,
! [X0] :
( element(sK382(sK384,X0),powerset(powerset(sF395)))
| ~ element(X0,powerset(sF395))
| ~ topological_space(sK384)
| ~ top_str(sK384) ),
inference(superposition,[],[f2978,f3654]) ).
fof(f5088,plain,
( ! [X0] :
( element(sF394,powerset(X0))
| in(sK159(sF394,X0),sK385)
| ~ in(sK159(sF394,X0),sF394) )
| ~ spl397_2 ),
inference(resolution,[],[f4422,f4010]) ).
fof(f5091,plain,
( ! [X0] :
( in(sK159(sF394,X0),sK385)
| element(sF394,powerset(X0)) )
| ~ spl397_2 ),
inference(forward_subsumption_resolution,[],[f5088,f2329]) ).
fof(f5093,plain,
( element(sF394,powerset(sK385))
| element(sF394,powerset(sK385))
| ~ spl397_2 ),
inference(resolution,[],[f5091,f2330]) ).
fof(f5097,plain,
( element(sF394,powerset(sK385))
| ~ spl397_2 ),
inference(duplicate_literal_removal,[],[f5093]) ).
fof(f5103,plain,
( subset(sF394,sK385)
| ~ spl397_2 ),
inference(resolution,[],[f5097,f2943]) ).
fof(f5252,plain,
( ~ subset(sF394,sK385)
| sK385 = sF394 ),
inference(resolution,[],[f1767,f3982]) ).
fof(f5275,plain,
( sK385 = sF394
| ~ spl397_2 ),
inference(forward_subsumption_resolution,[],[f5252,f5103]) ).
fof(f5278,plain,
( $false
| spl397_1
| ~ spl397_2 ),
inference(forward_subsumption_resolution,[],[f5275,f3669]) ).
fof(f5279,plain,
( spl397_1
| ~ spl397_2 ),
inference(avatar_contradiction_clause,[],[f5278]) ).
fof(f5281,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sF395)))
| in(sK380(sK384,X0),X0)
| closed_subset(meet_of_subsets(sF395,X0),sK384)
| ~ top_str(sK384) )
| ~ spl397_3 ),
inference(forward_subsumption_resolution,[],[f3992,f3679]) ).
fof(f5282,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sF395)))
| ~ closed_subset(sK380(sK384,X0),sK384)
| closed_subset(meet_of_subsets(sF395,X0),sK384)
| ~ top_str(sK384) )
| ~ spl397_3 ),
inference(forward_subsumption_resolution,[],[f3993,f3679]) ).
fof(f5283,plain,
( ! [X0,X1] :
( ~ element(X0,powerset(sF395))
| ~ in(X0,sK382(sK384,X1))
| closed_subset(X0,sK384)
| ~ element(X1,powerset(sF395))
| ~ top_str(sK384) )
| ~ spl397_3 ),
inference(forward_subsumption_resolution,[],[f3998,f3679]) ).
fof(f5284,plain,
( ! [X0] :
( element(sK380(sK384,X0),powerset(sF395))
| closed_subset(meet_of_subsets(sF395,X0),sK384)
| ~ element(X0,powerset(powerset(sF395)))
| ~ top_str(sK384) )
| ~ spl397_3 ),
inference(forward_subsumption_resolution,[],[f4027,f3679]) ).
fof(f5309,plain,
( ! [X0] :
( element(sK382(sK384,X0),powerset(powerset(sF395)))
| ~ element(X0,powerset(sF395))
| ~ top_str(sK384) )
| ~ spl397_3 ),
inference(forward_subsumption_resolution,[],[f4841,f3679]) ).
fof(f5319,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sF395)))
| in(sK380(sK384,X0),X0)
| closed_subset(meet_of_subsets(sF395,X0),sK384) )
| ~ spl397_3 ),
inference(forward_subsumption_resolution,[],[f5281,f2994]) ).
fof(f5320,plain,
( ! [X0] :
( ~ element(X0,powerset(powerset(sF395)))
| ~ closed_subset(sK380(sK384,X0),sK384)
| closed_subset(meet_of_subsets(sF395,X0),sK384) )
| ~ spl397_3 ),
inference(forward_subsumption_resolution,[],[f5282,f2994]) ).
fof(f5321,plain,
( ! [X0,X1] :
( ~ element(X0,powerset(sF395))
| ~ in(X0,sK382(sK384,X1))
| closed_subset(X0,sK384)
| ~ element(X1,powerset(sF395)) )
| ~ spl397_3 ),
inference(forward_subsumption_resolution,[],[f5283,f2994]) ).
fof(f5322,plain,
( ! [X0] :
( element(sK380(sK384,X0),powerset(sF395))
| closed_subset(meet_of_subsets(sF395,X0),sK384)
| ~ element(X0,powerset(powerset(sF395))) )
| ~ spl397_3 ),
inference(forward_subsumption_resolution,[],[f5284,f2994]) ).
fof(f5347,plain,
( ! [X0] :
( element(sK382(sK384,X0),powerset(powerset(sF395)))
| ~ element(X0,powerset(sF395)) )
| ~ spl397_3 ),
inference(forward_subsumption_resolution,[],[f5309,f2994]) ).
fof(f5357,plain,
( ! [X0] :
( closed_subset(meet_of_subsets(sF395,X0),sK384)
| in(sK380(sK384,X0),X0)
| ~ element(X0,powerset(sF396)) )
| ~ spl397_3 ),
inference(forward_demodulation,[],[f5319,f3656]) ).
fof(f5358,plain,
( ! [X0] :
( ~ closed_subset(sK380(sK384,X0),sK384)
| ~ element(X0,powerset(sF396))
| closed_subset(meet_of_subsets(sF395,X0),sK384) )
| ~ spl397_3 ),
inference(forward_demodulation,[],[f5320,f3656]) ).
fof(f5359,plain,
( ! [X0,X1] :
( ~ element(X0,sF396)
| ~ in(X0,sK382(sK384,X1))
| closed_subset(X0,sK384)
| ~ element(X1,powerset(sF395)) )
| ~ spl397_3 ),
inference(forward_demodulation,[],[f5321,f3656]) ).
fof(f5360,plain,
( ! [X0] :
( element(sK380(sK384,X0),sF396)
| closed_subset(meet_of_subsets(sF395,X0),sK384)
| ~ element(X0,powerset(powerset(sF395))) )
| ~ spl397_3 ),
inference(forward_demodulation,[],[f5322,f3656]) ).
fof(f5385,plain,
( ! [X0] :
( element(sK382(sK384,X0),powerset(sF396))
| ~ element(X0,powerset(sF395)) )
| ~ spl397_3 ),
inference(forward_demodulation,[],[f5347,f3656]) ).
fof(f5394,plain,
( ! [X0,X1] :
( ~ in(X0,sK382(sK384,X1))
| ~ element(X0,sF396)
| ~ element(X1,sF396)
| closed_subset(X0,sK384) )
| ~ spl397_3 ),
inference(forward_demodulation,[],[f5359,f3656]) ).
fof(f5395,plain,
( ! [X0] :
( ~ element(X0,powerset(sF396))
| element(sK380(sK384,X0),sF396)
| closed_subset(meet_of_subsets(sF395,X0),sK384) )
| ~ spl397_3 ),
inference(forward_demodulation,[],[f5360,f3656]) ).
fof(f5411,plain,
( ! [X0] :
( ~ element(X0,sF396)
| element(sK382(sK384,X0),powerset(sF396)) )
| ~ spl397_3 ),
inference(forward_demodulation,[],[f5385,f3656]) ).
fof(f5486,plain,
( topstr_closure(sK384,sK385) = meet_of_subsets(sF395,sK382(sK384,sK385))
| ~ spl397_58 ),
inference(resolution,[],[f3990,f3657]) ).
fof(f5490,plain,
( sF394 = meet_of_subsets(sF395,sK382(sK384,sK385))
| ~ spl397_58 ),
inference(forward_demodulation,[],[f5486,f3648]) ).
fof(f5494,plain,
( sK385 = meet_of_subsets(sF395,sK382(sK384,sK385))
| ~ spl397_1
| ~ spl397_58 ),
inference(forward_demodulation,[],[f5490,f3670]) ).
fof(f5505,plain,
( ! [X0] :
( closed_subset(meet_of_subsets(sF395,sK382(sK384,X0)),sK384)
| ~ element(sK382(sK384,X0),powerset(sF396))
| ~ element(sK380(sK384,sK382(sK384,X0)),sF396)
| ~ element(X0,sF396)
| closed_subset(sK380(sK384,sK382(sK384,X0)),sK384) )
| ~ spl397_3 ),
inference(resolution,[],[f5357,f5394]) ).
fof(f5506,plain,
( ! [X0] :
( closed_subset(meet_of_subsets(sF395,sK382(sK384,X0)),sK384)
| ~ element(sK382(sK384,X0),powerset(sF396))
| ~ element(X0,sF396)
| closed_subset(sK380(sK384,sK382(sK384,X0)),sK384) )
| ~ spl397_3 ),
inference(forward_subsumption_resolution,[],[f5505,f5395]) ).
fof(f5509,plain,
( ! [X0] :
( closed_subset(meet_of_subsets(sF395,sK382(sK384,X0)),sK384)
| ~ element(sK382(sK384,X0),powerset(sF396))
| ~ element(X0,sF396) )
| ~ spl397_3 ),
inference(forward_subsumption_resolution,[],[f5506,f5358]) ).
fof(f5512,plain,
( ! [X0] :
( closed_subset(meet_of_subsets(sF395,sK382(sK384,X0)),sK384)
| ~ element(X0,sF396) )
| ~ spl397_3 ),
inference(forward_subsumption_resolution,[],[f5509,f5411]) ).
fof(f5522,plain,
( closed_subset(sK385,sK384)
| ~ element(sK385,sF396)
| ~ spl397_1
| ~ spl397_3
| ~ spl397_58 ),
inference(superposition,[],[f5512,f5494]) ).
fof(f5523,plain,
( ~ element(sK385,sF396)
| ~ spl397_1
| spl397_2
| ~ spl397_3
| ~ spl397_58 ),
inference(forward_subsumption_resolution,[],[f5522,f3673]) ).
fof(f5525,plain,
( $false
| ~ spl397_1
| spl397_2
| ~ spl397_3
| ~ spl397_58 ),
inference(forward_subsumption_resolution,[],[f5523,f3657]) ).
fof(f5526,plain,
( ~ spl397_1
| spl397_2
| ~ spl397_3
| ~ spl397_58 ),
inference(avatar_contradiction_clause,[],[f5525]) ).
cnf(s1,plain,
( spl397_1
| spl397_2 ),
inference(sat_conversion,[],[f3675]) ).
cnf(s3,plain,
( ~ spl397_1
| spl397_3 ),
inference(sat_conversion,[],[f3681]) ).
cnf(s4,plain,
( ~ spl397_1
| ~ spl397_2 ),
inference(sat_conversion,[],[f3682]) ).
cnf(s51,plain,
( ~ spl397_3
| spl397_58 ),
inference(sat_conversion,[],[f3991]) ).
cnf(s69,plain,
( spl397_1
| ~ spl397_2 ),
inference(sat_conversion,[],[f5279]) ).
cnf(s71,plain,
( ~ spl397_1
| spl397_2
| ~ spl397_3
| ~ spl397_58 ),
inference(sat_conversion,[],[f5526]) ).
cnf(s73,plain,
spl397_1,
inference(rat,[],[s1,s69]) ).
cnf(s74,plain,
~ spl397_2,
inference(rat,[],[s4,s73]) ).
cnf(s75,plain,
spl397_3,
inference(rat,[],[s3,s73]) ).
cnf(s76,plain,
~ spl397_58,
inference(rat,[],[s71,s73,s75,s74]) ).
cnf(s78,plain,
$false,
inference(rat,[],[s51,s76,s75]) ).
fof(f5528,plain,
$false,
inference(avatar_sat_refutation,[],[s78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU318+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n002.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 04:42:52 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 11.18/2.50 % (4150452)Detected formulas, will run a generic FOF schedule.
% 11.18/2.50 % (4150459)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=1194052124:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.18/2.50 % (4150462)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=364329793:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.18/2.50 % (4150458)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=1706368594:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.18/2.50 % (4150463)dis-21_1_sil=8000:lcm=predicate:random_seed=4268713118: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)
% 11.18/2.50 % (4150461)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3028636370:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.18/2.50 % (4150460)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1757437277:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.18/2.50 % (4150457)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=1669368916:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.18/2.50 % (4150460)Instruction limit reached!
% 11.18/2.50 % (4150460)------------------------------
% 11.18/2.50 % (4150460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.50 % (4150460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.50 % (4150460)CaDiCaL version: 2.1.3
% 11.18/2.50 % (4150460)Termination reason: Instruction limit
% 11.18/2.50 % (4150460)Termination phase: Saturation
% 11.18/2.50 % (4150460)Time elapsed: 0.060 s
% 11.18/2.50 % (4150460)Peak memory usage: 91 MB
% 11.18/2.50 % (4150460)Instructions burned: 110 (million)
% 11.18/2.50 % (4150463)Instruction limit reached!
% 11.18/2.50 % (4150463)------------------------------
% 11.18/2.50 % (4150463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.50 % (4150463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.50 % (4150463)CaDiCaL version: 2.1.3
% 11.18/2.50 % (4150463)Termination reason: Instruction limit
% 11.18/2.50 % (4150463)Termination phase: Saturation
% 11.18/2.50 % (4150463)Time elapsed: 0.065 s
% 11.18/2.50 % (4150463)Peak memory usage: 90 MB
% 11.18/2.50 % (4150463)Instructions burned: 131 (million)
% 11.18/2.50 % (4150461)Instruction limit reached!
% 11.18/2.50 % (4150461)------------------------------
% 11.18/2.50 % (4150461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.50 % (4150461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.50 % (4150461)CaDiCaL version: 2.1.3
% 11.18/2.50 % (4150461)Termination reason: Instruction limit
% 11.18/2.50 % (4150461)Termination phase: Saturation
% 11.18/2.50 % (4150461)Time elapsed: 0.077 s
% 11.18/2.50 % (4150461)Peak memory usage: 90 MB
% 11.18/2.50 % (4150461)Instructions burned: 120 (million)
% 11.18/2.50 % (4150462)Instruction limit reached!
% 11.18/2.50 % (4150462)------------------------------
% 11.18/2.50 % (4150462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.50 % (4150462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.50 % (4150462)CaDiCaL version: 2.1.3
% 11.18/2.50 % (4150462)Termination reason: Instruction limit
% 11.18/2.50 % (4150462)Termination phase: Saturation
% 11.18/2.50 % (4150462)Time elapsed: 0.090 s
% 11.18/2.50 % (4150462)Peak memory usage: 91 MB
% 11.18/2.50 % (4150462)Instructions burned: 139 (million)
% 11.18/2.50 % (4150472)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2165481347:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.18/2.50 % (4150471)lrs+10_1_sil=8000:sp=occurrence:random_seed=903655441:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.18/2.50 % (4150473)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3724328404:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.18/2.50 % (4150474)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=2814952776:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.18/2.50 % (4150472)Instruction limit reached!
% 11.18/2.50 % (4150472)------------------------------
% 11.18/2.50 % (4150472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.50 % (4150472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.50 % (4150472)CaDiCaL version: 2.1.3
% 11.18/2.50 % (4150472)Termination reason: Instruction limit
% 11.18/2.50 % (4150472)Termination phase: Saturation
% 11.18/2.50 % (4150472)Time elapsed: 0.084 s
% 11.18/2.50 % (4150472)Peak memory usage: 90 MB
% 11.18/2.50 % (4150472)Instructions burned: 158 (million)
% 11.18/2.50 % (4150471)Instruction limit reached!
% 11.18/2.50 % (4150471)------------------------------
% 11.18/2.50 % (4150471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.50 % (4150471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.50 % (4150471)CaDiCaL version: 2.1.3
% 11.18/2.50 % (4150471)Termination reason: Instruction limit
% 11.18/2.50 % (4150471)Termination phase: Saturation
% 11.18/2.50 % (4150471)Time elapsed: 0.185 s
% 11.18/2.50 % (4150471)Peak memory usage: 95 MB
% 11.18/2.50 % (4150471)Instructions burned: 285 (million)
% 11.18/2.50 % (4150474)Instruction limit reached!
% 11.18/2.50 % (4150474)------------------------------
% 11.18/2.50 % (4150474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.50 % (4150474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.50 % (4150474)CaDiCaL version: 2.1.3
% 11.18/2.50 % (4150474)Termination reason: Instruction limit
% 11.18/2.50 % (4150474)Termination phase: Saturation
% 11.18/2.50 % (4150474)Time elapsed: 0.154 s
% 11.18/2.50 % (4150474)Peak memory usage: 93 MB
% 11.18/2.50 % (4150474)Instructions burned: 248 (million)
% 11.18/2.50 % (4150473)Instruction limit reached!
% 11.18/2.50 % (4150473)------------------------------
% 11.18/2.50 % (4150473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.50 % (4150473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.50 % (4150473)CaDiCaL version: 2.1.3
% 11.18/2.50 % (4150479)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1030640014:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.18/2.50 % (4150473)Termination reason: Instruction limit
% 11.18/2.50 % (4150473)Termination phase: Saturation
% 11.18/2.50 % (4150473)Time elapsed: 0.221 s
% 11.18/2.50 % (4150473)Peak memory usage: 94 MB
% 11.18/2.50 % (4150473)Instructions burned: 325 (million)
% 11.18/2.50 % (4150480)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1828365432:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.18/2.50 % (4150481)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=86897442:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.18/2.50 % (4150483)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3975807119:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 11.18/2.50 % (4150479)Instruction limit reached!
% 11.18/2.50 % (4150479)------------------------------
% 11.18/2.50 % (4150479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.50 % (4150479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.50 % (4150479)CaDiCaL version: 2.1.3
% 11.18/2.50 % (4150479)Termination reason: Instruction limit
% 11.18/2.50 % (4150479)Termination phase: Saturation
% 11.18/2.50 % (4150479)Time elapsed: 0.188 s
% 11.18/2.50 % (4150479)Peak memory usage: 92 MB
% 11.18/2.50 % (4150479)Instructions burned: 294 (million)
% 11.18/2.50 % (4150481)Instruction limit reached!
% 11.18/2.50 % (4150481)------------------------------
% 11.18/2.50 % (4150481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.50 % (4150481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.50 % (4150481)CaDiCaL version: 2.1.3
% 11.18/2.50 % (4150481)Termination reason: Instruction limit
% 11.18/2.50 % (4150481)Termination phase: Saturation
% 11.18/2.50 % (4150481)Time elapsed: 0.067 s
% 11.18/2.50 % (4150481)Peak memory usage: 91 MB
% 11.18/2.50 % (4150481)Instructions burned: 113 (million)
% 11.18/2.50 % (4150483)Instruction limit reached!
% 11.18/2.50 % (4150483)------------------------------
% 11.18/2.50 % (4150483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.50 % (4150483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.50 % (4150483)CaDiCaL version: 2.1.3
% 11.18/2.50 % (4150483)Termination reason: Instruction limit
% 11.18/2.50 % (4150483)Termination phase: Saturation
% 11.18/2.50 % (4150483)Time elapsed: 0.070 s
% 11.18/2.50 % (4150483)Peak memory usage: 91 MB
% 11.18/2.50 % (4150483)Instructions burned: 128 (million)
% 11.18/2.50 % (4150488)lrs+10_1_sil=8000:sp=occurrence:random_seed=1756521422:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.18/2.50 % (4150487)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1606943973:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 11.18/2.50 % (4150489)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=130269130:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.18/2.50 % (4150487)Instruction limit reached!
% 11.18/2.50 % (4150487)------------------------------
% 11.18/2.50 % (4150487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.50 % (4150487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.50 % (4150487)CaDiCaL version: 2.1.3
% 11.18/2.50 % (4150487)Termination reason: Instruction limit
% 11.18/2.50 % (4150487)Termination phase: Saturation
% 11.18/2.50 % (4150487)Time elapsed: 0.055 s
% 11.18/2.50 % (4150487)Peak memory usage: 89 MB
% 11.18/2.50 % (4150487)Instructions burned: 116 (million)
% 11.18/2.50 % (4150493)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1625996641:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 11.18/2.50 % (4150489)Instruction limit reached!
% 11.18/2.50 % (4150489)------------------------------
% 11.18/2.50 % (4150489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.50 % (4150489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.50 % (4150489)CaDiCaL version: 2.1.3
% 11.18/2.50 % (4150489)Termination reason: Instruction limit
% 11.18/2.50 % (4150489)Termination phase: Saturation
% 11.18/2.50 % (4150489)Time elapsed: 0.267 s
% 11.18/2.50 % (4150489)Peak memory usage: 95 MB
% 11.18/2.50 % (4150489)Instructions burned: 437 (million)
% 11.18/2.50 % (4150457)First to succeed.
% 11.18/2.50 % (4150457)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4150452"
% 11.18/2.50 % (4150495)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1082825982:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 11.18/2.50 % (4150495)Instruction limit reached!
% 11.18/2.50 % (4150495)------------------------------
% 11.18/2.50 % (4150495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.50 % (4150495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.50 % (4150495)CaDiCaL version: 2.1.3
% 11.18/2.50 % (4150495)Termination reason: Instruction limit
% 11.18/2.50 % (4150495)Termination phase: Saturation
% 11.18/2.50 % (4150495)Time elapsed: 0.075 s
% 11.18/2.50 % (4150495)Peak memory usage: 92 MB
% 11.18/2.50 % (4150495)Instructions burned: 134 (million)
% 11.18/2.50 % (4150488)Instruction limit reached!
% 11.18/2.50 % (4150488)------------------------------
% 11.18/2.50 % (4150488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.18/2.50 % (4150488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.18/2.50 % (4150488)CaDiCaL version: 2.1.3
% 11.18/2.50 % (4150488)Termination reason: Instruction limit
% 11.18/2.50 % (4150488)Termination phase: Saturation
% 11.18/2.50 % (4150488)Time elapsed: 0.573 s
% 11.18/2.50 % (4150488)Peak memory usage: 103 MB
% 11.18/2.50 % (4150488)Instructions burned: 908 (million)
% 11.18/2.50 % (4150457)Refutation found. Thanks to Tanya!
% 11.18/2.50 % SZS status Theorem for theBenchmark
% 11.18/2.50 % SZS output start Proof for theBenchmark
% See solution above
% 11.99/2.65 % (4150457)------------------------------
% 11.99/2.65 % (4150457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.99/2.65 % (4150457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.99/2.65 % (4150457)CaDiCaL version: 2.1.3
% 11.99/2.65 % (4150457)Termination reason: Refutation
% 11.99/2.65 % (4150457)Time elapsed: 1.186 s
% 11.99/2.65 % (4150457)Peak memory usage: 149 MB
% 11.99/2.65 % (4150457)Instructions burned: 1879 (million)
% 11.99/2.65 % (4150457)------------------------------
% 11.99/2.65 % (4150457)------------------------------
% 11.99/2.65 % (4150452)Success in time 1.632 s
% 11.99/2.65 % Vampire exiting
%------------------------------------------------------------------------------