TSTP Solution File: SEU399+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU399+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 17:58:44 EDT 2023
% Result : Timeout 286.60s 41.96s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 19
% Syntax : Number of formulae : 170 ( 15 unt; 0 def)
% Number of atoms : 1528 ( 341 equ)
% Maximal formula atoms : 42 ( 8 avg)
% Number of connectives : 2120 ( 762 ~; 903 |; 422 &)
% ( 8 <=>; 23 =>; 0 <=; 2 <~>)
% Maximal formula depth : 24 ( 10 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-4 aty)
% Number of variables : 569 (; 398 !; 171 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25920,plain,
$false,
inference(subsumption_resolution,[],[f25919,f4724]) ).
fof(f4724,plain,
element(sK4(sK30(sK1,sK2,sK3)),sF39),
inference(subsumption_resolution,[],[f4723,f244]) ).
fof(f244,plain,
~ empty_carrier(sK1),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( ! [X3] :
( ( ! [X5] :
( ! [X6] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X6)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X6))) != X5
| sK4(X3) != X6
| topstr_closure(sK1,X5) != sK3
| ~ element(X6,the_carrier(sK2)) )
| ~ netstr_induced_subset(X5,sK1,sK2) )
| ~ in(sK4(X3),the_carrier(sK2))
| ~ in(sK4(X3),X3) )
& ( ( sK5(X3) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(X3))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(X3))))
& sK4(X3) = sK6(X3)
& sK3 = topstr_closure(sK1,sK5(X3))
& element(sK6(X3),the_carrier(sK2))
& netstr_induced_subset(sK5(X3),sK1,sK2)
& in(sK4(X3),the_carrier(sK2)) )
| in(sK4(X3),X3) ) )
& net_str(sK2,sK1)
& directed_relstr(sK2)
& transitive_relstr(sK2)
& ~ empty_carrier(sK2)
& top_str(sK1)
& topological_space(sK1)
& ~ empty_carrier(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6])],[f181,f186,f185,f184,f183,f182]) ).
fof(f182,plain,
( ? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( ( ! [X5] :
( ! [X6] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X6)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X6))) != X5
| X4 != X6
| topstr_closure(X0,X5) != X2
| ~ element(X6,the_carrier(X1)) )
| ~ netstr_induced_subset(X5,X0,X1) )
| ~ in(X4,the_carrier(X1))
| ~ in(X4,X3) )
& ( ( ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) = X7
& X4 = X8
& topstr_closure(X0,X7) = X2
& element(X8,the_carrier(X1)) )
& netstr_induced_subset(X7,X0,X1) )
& in(X4,the_carrier(X1)) )
| in(X4,X3) ) )
& net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ( ? [X2] :
! [X3] :
? [X4] :
( ( ! [X5] :
( ! [X6] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X6)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X6))) != X5
| X4 != X6
| topstr_closure(sK1,X5) != X2
| ~ element(X6,the_carrier(sK2)) )
| ~ netstr_induced_subset(X5,sK1,sK2) )
| ~ in(X4,the_carrier(sK2))
| ~ in(X4,X3) )
& ( ( ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X8)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X8))) = X7
& X4 = X8
& topstr_closure(sK1,X7) = X2
& element(X8,the_carrier(sK2)) )
& netstr_induced_subset(X7,sK1,sK2) )
& in(X4,the_carrier(sK2)) )
| in(X4,X3) ) )
& net_str(sK2,sK1)
& directed_relstr(sK2)
& transitive_relstr(sK2)
& ~ empty_carrier(sK2)
& top_str(sK1)
& topological_space(sK1)
& ~ empty_carrier(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
( ? [X2] :
! [X3] :
? [X4] :
( ( ! [X5] :
( ! [X6] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X6)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X6))) != X5
| X4 != X6
| topstr_closure(sK1,X5) != X2
| ~ element(X6,the_carrier(sK2)) )
| ~ netstr_induced_subset(X5,sK1,sK2) )
| ~ in(X4,the_carrier(sK2))
| ~ in(X4,X3) )
& ( ( ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X8)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X8))) = X7
& X4 = X8
& topstr_closure(sK1,X7) = X2
& element(X8,the_carrier(sK2)) )
& netstr_induced_subset(X7,sK1,sK2) )
& in(X4,the_carrier(sK2)) )
| in(X4,X3) ) )
=> ! [X3] :
? [X4] :
( ( ! [X5] :
( ! [X6] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X6)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X6))) != X5
| X4 != X6
| topstr_closure(sK1,X5) != sK3
| ~ element(X6,the_carrier(sK2)) )
| ~ netstr_induced_subset(X5,sK1,sK2) )
| ~ in(X4,the_carrier(sK2))
| ~ in(X4,X3) )
& ( ( ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X8)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X8))) = X7
& X4 = X8
& topstr_closure(sK1,X7) = sK3
& element(X8,the_carrier(sK2)) )
& netstr_induced_subset(X7,sK1,sK2) )
& in(X4,the_carrier(sK2)) )
| in(X4,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X3] :
( ? [X4] :
( ( ! [X5] :
( ! [X6] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X6)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X6))) != X5
| X4 != X6
| topstr_closure(sK1,X5) != sK3
| ~ element(X6,the_carrier(sK2)) )
| ~ netstr_induced_subset(X5,sK1,sK2) )
| ~ in(X4,the_carrier(sK2))
| ~ in(X4,X3) )
& ( ( ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X8)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X8))) = X7
& X4 = X8
& topstr_closure(sK1,X7) = sK3
& element(X8,the_carrier(sK2)) )
& netstr_induced_subset(X7,sK1,sK2) )
& in(X4,the_carrier(sK2)) )
| in(X4,X3) ) )
=> ( ( ! [X5] :
( ! [X6] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X6)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X6))) != X5
| sK4(X3) != X6
| topstr_closure(sK1,X5) != sK3
| ~ element(X6,the_carrier(sK2)) )
| ~ netstr_induced_subset(X5,sK1,sK2) )
| ~ in(sK4(X3),the_carrier(sK2))
| ~ in(sK4(X3),X3) )
& ( ( ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X8)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X8))) = X7
& sK4(X3) = X8
& topstr_closure(sK1,X7) = sK3
& element(X8,the_carrier(sK2)) )
& netstr_induced_subset(X7,sK1,sK2) )
& in(sK4(X3),the_carrier(sK2)) )
| in(sK4(X3),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
! [X3] :
( ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X8)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X8))) = X7
& sK4(X3) = X8
& topstr_closure(sK1,X7) = sK3
& element(X8,the_carrier(sK2)) )
& netstr_induced_subset(X7,sK1,sK2) )
=> ( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X8)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X8))) = sK5(X3)
& sK4(X3) = X8
& sK3 = topstr_closure(sK1,sK5(X3))
& element(X8,the_carrier(sK2)) )
& netstr_induced_subset(sK5(X3),sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
! [X3] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X8)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X8))) = sK5(X3)
& sK4(X3) = X8
& sK3 = topstr_closure(sK1,sK5(X3))
& element(X8,the_carrier(sK2)) )
=> ( sK5(X3) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(X3))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(X3))))
& sK4(X3) = sK6(X3)
& sK3 = topstr_closure(sK1,sK5(X3))
& element(sK6(X3),the_carrier(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( ( ! [X5] :
( ! [X6] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X6)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X6))) != X5
| X4 != X6
| topstr_closure(X0,X5) != X2
| ~ element(X6,the_carrier(X1)) )
| ~ netstr_induced_subset(X5,X0,X1) )
| ~ in(X4,the_carrier(X1))
| ~ in(X4,X3) )
& ( ( ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) = X7
& X4 = X8
& topstr_closure(X0,X7) = X2
& element(X8,the_carrier(X1)) )
& netstr_induced_subset(X7,X0,X1) )
& in(X4,the_carrier(X1)) )
| in(X4,X3) ) )
& net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(rectify,[],[f180]) ).
fof(f180,plain,
? [X0,X1] :
( ? [X3] :
! [X4] :
? [X5] :
( ( ! [X6] :
( ! [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) != X6
| X5 != X7
| topstr_closure(X0,X6) != X3
| ~ element(X7,the_carrier(X1)) )
| ~ netstr_induced_subset(X6,X0,X1) )
| ~ in(X5,the_carrier(X1))
| ~ in(X5,X4) )
& ( ( ? [X6] :
( ? [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) = X6
& X5 = X7
& topstr_closure(X0,X6) = X3
& element(X7,the_carrier(X1)) )
& netstr_induced_subset(X6,X0,X1) )
& in(X5,the_carrier(X1)) )
| in(X5,X4) ) )
& net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
? [X0,X1] :
( ? [X3] :
! [X4] :
? [X5] :
( ( ! [X6] :
( ! [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) != X6
| X5 != X7
| topstr_closure(X0,X6) != X3
| ~ element(X7,the_carrier(X1)) )
| ~ netstr_induced_subset(X6,X0,X1) )
| ~ in(X5,the_carrier(X1))
| ~ in(X5,X4) )
& ( ( ? [X6] :
( ? [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) = X6
& X5 = X7
& topstr_closure(X0,X6) = X3
& element(X7,the_carrier(X1)) )
& netstr_induced_subset(X6,X0,X1) )
& in(X5,the_carrier(X1)) )
| in(X5,X4) ) )
& net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
? [X0,X1] :
( ? [X3] :
! [X4] :
? [X5] :
( in(X5,X4)
<~> ( ? [X6] :
( ? [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) = X6
& X5 = X7
& topstr_closure(X0,X6) = X3
& element(X7,the_carrier(X1)) )
& netstr_induced_subset(X6,X0,X1) )
& in(X5,the_carrier(X1)) ) )
& net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
? [X0,X1] :
( ? [X3] :
! [X4] :
? [X5] :
( in(X5,X4)
<~> ( ? [X6] :
( ? [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) = X6
& X5 = X7
& topstr_closure(X0,X6) = X3
& element(X7,the_carrier(X1)) )
& netstr_induced_subset(X6,X0,X1) )
& in(X5,the_carrier(X1)) ) )
& net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
~ ! [X0,X1] :
( ( net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X3] :
? [X4] :
! [X5] :
( in(X5,X4)
<=> ( ? [X6] :
( ? [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) = X6
& X5 = X7
& topstr_closure(X0,X6) = X3
& element(X7,the_carrier(X1)) )
& netstr_induced_subset(X6,X0,X1) )
& in(X5,the_carrier(X1)) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( ( net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X3] :
? [X4] :
! [X5] :
( in(X5,X4)
<=> ( ? [X6] :
( ? [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) = X6
& X5 = X7
& topstr_closure(X0,X6) = X3
& element(X7,the_carrier(X1)) )
& netstr_induced_subset(X6,X0,X1) )
& in(X5,the_carrier(X1)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1,X2] :
( ( net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X3] :
? [X4] :
! [X5] :
( in(X5,X4)
<=> ( ? [X6] :
( ? [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) = X6
& X5 = X7
& topstr_closure(X0,X6) = X3
& element(X7,the_carrier(X1)) )
& netstr_induced_subset(X6,X0,X1) )
& in(X5,the_carrier(X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.umfcCYO3AC/Vampire---4.8_25211',s1_xboole_0__e6_39_3__yellow19__1) ).
fof(f4723,plain,
( element(sK4(sK30(sK1,sK2,sK3)),sF39)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f4722,f245]) ).
fof(f245,plain,
topological_space(sK1),
inference(cnf_transformation,[],[f187]) ).
fof(f4722,plain,
( element(sK4(sK30(sK1,sK2,sK3)),sF39)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f4721,f246]) ).
fof(f246,plain,
top_str(sK1),
inference(cnf_transformation,[],[f187]) ).
fof(f4721,plain,
( element(sK4(sK30(sK1,sK2,sK3)),sF39)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f4710,f250]) ).
fof(f250,plain,
net_str(sK2,sK1),
inference(cnf_transformation,[],[f187]) ).
fof(f4710,plain,
( element(sK4(sK30(sK1,sK2,sK3)),sF39)
| ~ net_str(sK2,sK1)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(resolution,[],[f4601,f1457]) ).
fof(f1457,plain,
! [X2,X0,X1] :
( ~ in(X2,sK30(X0,sK2,X1))
| element(X2,sF39)
| ~ net_str(sK2,X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f1456,f247]) ).
fof(f247,plain,
~ empty_carrier(sK2),
inference(cnf_transformation,[],[f187]) ).
fof(f1456,plain,
! [X2,X0,X1] :
( element(X2,sF39)
| ~ in(X2,sK30(X0,sK2,X1))
| ~ net_str(sK2,X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f1455,f248]) ).
fof(f248,plain,
transitive_relstr(sK2),
inference(cnf_transformation,[],[f187]) ).
fof(f1455,plain,
! [X2,X0,X1] :
( element(X2,sF39)
| ~ in(X2,sK30(X0,sK2,X1))
| ~ net_str(sK2,X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f1454,f249]) ).
fof(f249,plain,
directed_relstr(sK2),
inference(cnf_transformation,[],[f187]) ).
fof(f1454,plain,
! [X2,X0,X1] :
( element(X2,sF39)
| ~ in(X2,sK30(X0,sK2,X1))
| ~ net_str(sK2,X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f1453,f567]) ).
fof(f567,plain,
! [X3,X4,X5] : ~ sP0(X3,X4,X5),
inference(subsumption_resolution,[],[f566,f364]) ).
fof(f364,plain,
! [X2,X0,X1] :
( sK24(X0,X1,X2) != sK25(X0,X1,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1,X2] :
( ( sK24(X0,X1,X2) != sK25(X0,X1,X2)
& sK26(X0,X1,X2) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,sK27(X0,X1,X2))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,sK27(X0,X1,X2))))
& sK25(X0,X1,X2) = sK27(X0,X1,X2)
& topstr_closure(X1,sK26(X0,X1,X2)) = X2
& element(sK27(X0,X1,X2),the_carrier(X0))
& netstr_induced_subset(sK26(X0,X1,X2),X1,X0)
& sK23(X0,X1,X2) = sK25(X0,X1,X2)
& sK28(X0,X1,X2) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,sK29(X0,X1,X2))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,sK29(X0,X1,X2))))
& sK24(X0,X1,X2) = sK29(X0,X1,X2)
& topstr_closure(X1,sK28(X0,X1,X2)) = X2
& element(sK29(X0,X1,X2),the_carrier(X0))
& netstr_induced_subset(sK28(X0,X1,X2),X1,X0)
& sK23(X0,X1,X2) = sK24(X0,X1,X2) )
| ~ sP0(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24,sK25,sK26,sK27,sK28,sK29])],[f221,f226,f225,f224,f223,f222]) ).
fof(f222,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( X4 != X5
& ? [X6] :
( ? [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))) = X6
& X5 = X7
& topstr_closure(X1,X6) = X2
& element(X7,the_carrier(X0)) )
& netstr_induced_subset(X6,X1,X0) )
& X3 = X5
& ? [X8] :
( ? [X9] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X9))) = X8
& X4 = X9
& topstr_closure(X1,X8) = X2
& element(X9,the_carrier(X0)) )
& netstr_induced_subset(X8,X1,X0) )
& X3 = X4 )
=> ( sK24(X0,X1,X2) != sK25(X0,X1,X2)
& ? [X6] :
( ? [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))) = X6
& sK25(X0,X1,X2) = X7
& topstr_closure(X1,X6) = X2
& element(X7,the_carrier(X0)) )
& netstr_induced_subset(X6,X1,X0) )
& sK23(X0,X1,X2) = sK25(X0,X1,X2)
& ? [X8] :
( ? [X9] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X9))) = X8
& sK24(X0,X1,X2) = X9
& topstr_closure(X1,X8) = X2
& element(X9,the_carrier(X0)) )
& netstr_induced_subset(X8,X1,X0) )
& sK23(X0,X1,X2) = sK24(X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
! [X0,X1,X2] :
( ? [X6] :
( ? [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))) = X6
& sK25(X0,X1,X2) = X7
& topstr_closure(X1,X6) = X2
& element(X7,the_carrier(X0)) )
& netstr_induced_subset(X6,X1,X0) )
=> ( ? [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))) = sK26(X0,X1,X2)
& sK25(X0,X1,X2) = X7
& topstr_closure(X1,sK26(X0,X1,X2)) = X2
& element(X7,the_carrier(X0)) )
& netstr_induced_subset(sK26(X0,X1,X2),X1,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f224,plain,
! [X0,X1,X2] :
( ? [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))) = sK26(X0,X1,X2)
& sK25(X0,X1,X2) = X7
& topstr_closure(X1,sK26(X0,X1,X2)) = X2
& element(X7,the_carrier(X0)) )
=> ( sK26(X0,X1,X2) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,sK27(X0,X1,X2))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,sK27(X0,X1,X2))))
& sK25(X0,X1,X2) = sK27(X0,X1,X2)
& topstr_closure(X1,sK26(X0,X1,X2)) = X2
& element(sK27(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
! [X0,X1,X2] :
( ? [X8] :
( ? [X9] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X9))) = X8
& sK24(X0,X1,X2) = X9
& topstr_closure(X1,X8) = X2
& element(X9,the_carrier(X0)) )
& netstr_induced_subset(X8,X1,X0) )
=> ( ? [X9] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X9))) = sK28(X0,X1,X2)
& sK24(X0,X1,X2) = X9
& topstr_closure(X1,sK28(X0,X1,X2)) = X2
& element(X9,the_carrier(X0)) )
& netstr_induced_subset(sK28(X0,X1,X2),X1,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
! [X0,X1,X2] :
( ? [X9] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X9))) = sK28(X0,X1,X2)
& sK24(X0,X1,X2) = X9
& topstr_closure(X1,sK28(X0,X1,X2)) = X2
& element(X9,the_carrier(X0)) )
=> ( sK28(X0,X1,X2) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,sK29(X0,X1,X2))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,sK29(X0,X1,X2))))
& sK24(X0,X1,X2) = sK29(X0,X1,X2)
& topstr_closure(X1,sK28(X0,X1,X2)) = X2
& element(sK29(X0,X1,X2),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( X4 != X5
& ? [X6] :
( ? [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))) = X6
& X5 = X7
& topstr_closure(X1,X6) = X2
& element(X7,the_carrier(X0)) )
& netstr_induced_subset(X6,X1,X0) )
& X3 = X5
& ? [X8] :
( ? [X9] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X9))) = X8
& X4 = X9
& topstr_closure(X1,X8) = X2
& element(X9,the_carrier(X0)) )
& netstr_induced_subset(X8,X1,X0) )
& X3 = X4 )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f220]) ).
fof(f220,plain,
! [X1,X0,X3] :
( ? [X4,X5,X6] :
( X5 != X6
& ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) = X7
& X6 = X8
& topstr_closure(X0,X7) = X3
& element(X8,the_carrier(X1)) )
& netstr_induced_subset(X7,X0,X1) )
& X4 = X6
& ? [X9] :
( ? [X10] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) = X9
& X5 = X10
& topstr_closure(X0,X9) = X3
& element(X10,the_carrier(X1)) )
& netstr_induced_subset(X9,X0,X1) )
& X4 = X5 )
| ~ sP0(X1,X0,X3) ),
inference(nnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X1,X0,X3] :
( ? [X4,X5,X6] :
( X5 != X6
& ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) = X7
& X6 = X8
& topstr_closure(X0,X7) = X3
& element(X8,the_carrier(X1)) )
& netstr_induced_subset(X7,X0,X1) )
& X4 = X6
& ? [X9] :
( ? [X10] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) = X9
& X5 = X10
& topstr_closure(X0,X9) = X3
& element(X10,the_carrier(X1)) )
& netstr_induced_subset(X9,X0,X1) )
& X4 = X5 )
| ~ sP0(X1,X0,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f566,plain,
! [X3,X4,X5] :
( sK24(X3,X4,X5) = sK25(X3,X4,X5)
| ~ sP0(X3,X4,X5) ),
inference(duplicate_literal_removal,[],[f563]) ).
fof(f563,plain,
! [X3,X4,X5] :
( sK24(X3,X4,X5) = sK25(X3,X4,X5)
| ~ sP0(X3,X4,X5)
| ~ sP0(X3,X4,X5) ),
inference(superposition,[],[f358,f352]) ).
fof(f352,plain,
! [X2,X0,X1] :
( sK23(X0,X1,X2) = sK24(X0,X1,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f227]) ).
fof(f358,plain,
! [X2,X0,X1] :
( sK23(X0,X1,X2) = sK25(X0,X1,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f227]) ).
fof(f1453,plain,
! [X2,X0,X1] :
( element(X2,sF39)
| ~ in(X2,sK30(X0,sK2,X1))
| ~ net_str(sK2,X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| sP0(sK2,X0,X1)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2) ),
inference(duplicate_literal_removal,[],[f1452]) ).
fof(f1452,plain,
! [X2,X0,X1] :
( element(X2,sF39)
| ~ in(X2,sK30(X0,sK2,X1))
| ~ net_str(sK2,X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ in(X2,sK30(X0,sK2,X1))
| sP0(sK2,X0,X1)
| ~ net_str(sK2,X0)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(superposition,[],[f984,f370]) ).
fof(f370,plain,
! [X2,X0,X1,X4] :
( sK33(X0,X1,X2,X4) = X4
| ~ in(X4,sK30(X0,X1,X2))
| sP0(X1,X0,X2)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( ! [X2] :
( ! [X4] :
( ( in(X4,sK30(X0,X1,X2))
| ! [X5] :
( ! [X6] :
( ! [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) != X6
| X4 != X7
| topstr_closure(X0,X6) != X2
| ~ element(X7,the_carrier(X1)) )
| ~ netstr_induced_subset(X6,X0,X1) )
| X4 != X5
| ~ in(X5,the_carrier(X1)) ) )
& ( ( sK32(X0,X1,X2,X4) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,sK33(X0,X1,X2,X4))),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,sK33(X0,X1,X2,X4))))
& sK33(X0,X1,X2,X4) = X4
& topstr_closure(X0,sK32(X0,X1,X2,X4)) = X2
& element(sK33(X0,X1,X2,X4),the_carrier(X1))
& netstr_induced_subset(sK32(X0,X1,X2,X4),X0,X1)
& sK31(X0,X1,X2,X4) = X4
& in(sK31(X0,X1,X2,X4),the_carrier(X1)) )
| ~ in(X4,sK30(X0,X1,X2)) ) )
| sP0(X1,X0,X2) )
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33])],[f229,f233,f232,f231,f230]) ).
fof(f230,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ! [X6] :
( ! [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) != X6
| X4 != X7
| topstr_closure(X0,X6) != X2
| ~ element(X7,the_carrier(X1)) )
| ~ netstr_induced_subset(X6,X0,X1) )
| X4 != X5
| ~ in(X5,the_carrier(X1)) ) )
& ( ? [X8] :
( ? [X9] :
( ? [X10] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) = X9
& X4 = X10
& topstr_closure(X0,X9) = X2
& element(X10,the_carrier(X1)) )
& netstr_induced_subset(X9,X0,X1) )
& X4 = X8
& in(X8,the_carrier(X1)) )
| ~ in(X4,X3) ) )
=> ! [X4] :
( ( in(X4,sK30(X0,X1,X2))
| ! [X5] :
( ! [X6] :
( ! [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) != X6
| X4 != X7
| topstr_closure(X0,X6) != X2
| ~ element(X7,the_carrier(X1)) )
| ~ netstr_induced_subset(X6,X0,X1) )
| X4 != X5
| ~ in(X5,the_carrier(X1)) ) )
& ( ? [X8] :
( ? [X9] :
( ? [X10] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) = X9
& X4 = X10
& topstr_closure(X0,X9) = X2
& element(X10,the_carrier(X1)) )
& netstr_induced_subset(X9,X0,X1) )
& X4 = X8
& in(X8,the_carrier(X1)) )
| ~ in(X4,sK30(X0,X1,X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f231,plain,
! [X0,X1,X2,X4] :
( ? [X8] :
( ? [X9] :
( ? [X10] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) = X9
& X4 = X10
& topstr_closure(X0,X9) = X2
& element(X10,the_carrier(X1)) )
& netstr_induced_subset(X9,X0,X1) )
& X4 = X8
& in(X8,the_carrier(X1)) )
=> ( ? [X9] :
( ? [X10] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) = X9
& X4 = X10
& topstr_closure(X0,X9) = X2
& element(X10,the_carrier(X1)) )
& netstr_induced_subset(X9,X0,X1) )
& sK31(X0,X1,X2,X4) = X4
& in(sK31(X0,X1,X2,X4),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
! [X0,X1,X2,X4] :
( ? [X9] :
( ? [X10] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) = X9
& X4 = X10
& topstr_closure(X0,X9) = X2
& element(X10,the_carrier(X1)) )
& netstr_induced_subset(X9,X0,X1) )
=> ( ? [X10] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) = sK32(X0,X1,X2,X4)
& X4 = X10
& topstr_closure(X0,sK32(X0,X1,X2,X4)) = X2
& element(X10,the_carrier(X1)) )
& netstr_induced_subset(sK32(X0,X1,X2,X4),X0,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f233,plain,
! [X0,X1,X2,X4] :
( ? [X10] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) = sK32(X0,X1,X2,X4)
& X4 = X10
& topstr_closure(X0,sK32(X0,X1,X2,X4)) = X2
& element(X10,the_carrier(X1)) )
=> ( sK32(X0,X1,X2,X4) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,sK33(X0,X1,X2,X4))),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,sK33(X0,X1,X2,X4))))
& sK33(X0,X1,X2,X4) = X4
& topstr_closure(X0,sK32(X0,X1,X2,X4)) = X2
& element(sK33(X0,X1,X2,X4),the_carrier(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
! [X0,X1] :
( ! [X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ! [X6] :
( ! [X7] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) != X6
| X4 != X7
| topstr_closure(X0,X6) != X2
| ~ element(X7,the_carrier(X1)) )
| ~ netstr_induced_subset(X6,X0,X1) )
| X4 != X5
| ~ in(X5,the_carrier(X1)) ) )
& ( ? [X8] :
( ? [X9] :
( ? [X10] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) = X9
& X4 = X10
& topstr_closure(X0,X9) = X2
& element(X10,the_carrier(X1)) )
& netstr_induced_subset(X9,X0,X1) )
& X4 = X8
& in(X8,the_carrier(X1)) )
| ~ in(X4,X3) ) )
| sP0(X1,X0,X2) )
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(rectify,[],[f228]) ).
fof(f228,plain,
! [X0,X1] :
( ! [X3] :
( ? [X11] :
! [X12] :
( ( in(X12,X11)
| ! [X13] :
( ! [X14] :
( ! [X15] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X15)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X15))) != X14
| X12 != X15
| topstr_closure(X0,X14) != X3
| ~ element(X15,the_carrier(X1)) )
| ~ netstr_induced_subset(X14,X0,X1) )
| X12 != X13
| ~ in(X13,the_carrier(X1)) ) )
& ( ? [X13] :
( ? [X14] :
( ? [X15] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X15)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X15))) = X14
& X12 = X15
& topstr_closure(X0,X14) = X3
& element(X15,the_carrier(X1)) )
& netstr_induced_subset(X14,X0,X1) )
& X12 = X13
& in(X13,the_carrier(X1)) )
| ~ in(X12,X11) ) )
| sP0(X1,X0,X3) )
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(nnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ! [X3] :
( ? [X11] :
! [X12] :
( in(X12,X11)
<=> ? [X13] :
( ? [X14] :
( ? [X15] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X15)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X15))) = X14
& X12 = X15
& topstr_closure(X0,X14) = X3
& element(X15,the_carrier(X1)) )
& netstr_induced_subset(X14,X0,X1) )
& X12 = X13
& in(X13,the_carrier(X1)) ) )
| sP0(X1,X0,X3) )
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(definition_folding,[],[f160,f177]) ).
fof(f160,plain,
! [X0,X1] :
( ! [X3] :
( ? [X11] :
! [X12] :
( in(X12,X11)
<=> ? [X13] :
( ? [X14] :
( ? [X15] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X15)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X15))) = X14
& X12 = X15
& topstr_closure(X0,X14) = X3
& element(X15,the_carrier(X1)) )
& netstr_induced_subset(X14,X0,X1) )
& X12 = X13
& in(X13,the_carrier(X1)) ) )
| ? [X4,X5,X6] :
( X5 != X6
& ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) = X7
& X6 = X8
& topstr_closure(X0,X7) = X3
& element(X8,the_carrier(X1)) )
& netstr_induced_subset(X7,X0,X1) )
& X4 = X6
& ? [X9] :
( ? [X10] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) = X9
& X5 = X10
& topstr_closure(X0,X9) = X3
& element(X10,the_carrier(X1)) )
& netstr_induced_subset(X9,X0,X1) )
& X4 = X5 ) )
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ! [X3] :
( ? [X11] :
! [X12] :
( in(X12,X11)
<=> ? [X13] :
( ? [X14] :
( ? [X15] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X15)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X15))) = X14
& X12 = X15
& topstr_closure(X0,X14) = X3
& element(X15,the_carrier(X1)) )
& netstr_induced_subset(X14,X0,X1) )
& X12 = X13
& in(X13,the_carrier(X1)) ) )
| ? [X4,X5,X6] :
( X5 != X6
& ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) = X7
& X6 = X8
& topstr_closure(X0,X7) = X3
& element(X8,the_carrier(X1)) )
& netstr_induced_subset(X7,X0,X1) )
& X4 = X6
& ? [X9] :
( ? [X10] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) = X9
& X5 = X10
& topstr_closure(X0,X9) = X3
& element(X10,the_carrier(X1)) )
& netstr_induced_subset(X9,X0,X1) )
& X4 = X5 ) )
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ( net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X3] :
( ! [X4,X5,X6] :
( ( ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) = X7
& X6 = X8
& topstr_closure(X0,X7) = X3
& element(X8,the_carrier(X1)) )
& netstr_induced_subset(X7,X0,X1) )
& X4 = X6
& ? [X9] :
( ? [X10] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) = X9
& X5 = X10
& topstr_closure(X0,X9) = X3
& element(X10,the_carrier(X1)) )
& netstr_induced_subset(X9,X0,X1) )
& X4 = X5 )
=> X5 = X6 )
=> ? [X11] :
! [X12] :
( in(X12,X11)
<=> ? [X13] :
( ? [X14] :
( ? [X15] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X15)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X15))) = X14
& X12 = X15
& topstr_closure(X0,X14) = X3
& element(X15,the_carrier(X1)) )
& netstr_induced_subset(X14,X0,X1) )
& X12 = X13
& in(X13,the_carrier(X1)) ) ) ) ),
inference(rectify,[],[f70]) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( net_str(X1,X0)
& directed_relstr(X1)
& transitive_relstr(X1)
& ~ empty_carrier(X1)
& top_str(X0)
& topological_space(X0)
& ~ empty_carrier(X0) )
=> ! [X3] :
( ! [X4,X5,X6] :
( ( ? [X9] :
( ? [X10] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) = X9
& X6 = X10
& topstr_closure(X0,X9) = X3
& element(X10,the_carrier(X1)) )
& netstr_induced_subset(X9,X0,X1) )
& X4 = X6
& ? [X7] :
( ? [X8] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) = X7
& X5 = X8
& topstr_closure(X0,X7) = X3
& element(X8,the_carrier(X1)) )
& netstr_induced_subset(X7,X0,X1) )
& X4 = X5 )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( ? [X11] :
( ? [X12] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X12)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X12))) = X11
& X5 = X12
& topstr_closure(X0,X11) = X3
& element(X12,the_carrier(X1)) )
& netstr_induced_subset(X11,X0,X1) )
& X5 = X6
& in(X6,the_carrier(X1)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.umfcCYO3AC/Vampire---4.8_25211',s1_tarski__e6_39_3__yellow19__1) ).
fof(f984,plain,
! [X3,X4,X5] :
( element(sK33(X3,sK2,X4,X5),sF39)
| ~ in(X5,sK30(X3,sK2,X4))
| ~ net_str(sK2,X3)
| ~ top_str(X3)
| ~ topological_space(X3)
| empty_carrier(X3) ),
inference(subsumption_resolution,[],[f983,f247]) ).
fof(f983,plain,
! [X3,X4,X5] :
( element(sK33(X3,sK2,X4,X5),sF39)
| ~ in(X5,sK30(X3,sK2,X4))
| ~ net_str(sK2,X3)
| empty_carrier(sK2)
| ~ top_str(X3)
| ~ topological_space(X3)
| empty_carrier(X3) ),
inference(subsumption_resolution,[],[f982,f248]) ).
fof(f982,plain,
! [X3,X4,X5] :
( element(sK33(X3,sK2,X4,X5),sF39)
| ~ in(X5,sK30(X3,sK2,X4))
| ~ net_str(sK2,X3)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(X3)
| ~ topological_space(X3)
| empty_carrier(X3) ),
inference(subsumption_resolution,[],[f981,f249]) ).
fof(f981,plain,
! [X3,X4,X5] :
( element(sK33(X3,sK2,X4,X5),sF39)
| ~ in(X5,sK30(X3,sK2,X4))
| ~ net_str(sK2,X3)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(X3)
| ~ topological_space(X3)
| empty_carrier(X3) ),
inference(subsumption_resolution,[],[f976,f567]) ).
fof(f976,plain,
! [X3,X4,X5] :
( element(sK33(X3,sK2,X4,X5),sF39)
| ~ in(X5,sK30(X3,sK2,X4))
| sP0(sK2,X3,X4)
| ~ net_str(sK2,X3)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(X3)
| ~ topological_space(X3)
| empty_carrier(X3) ),
inference(superposition,[],[f368,f409]) ).
fof(f409,plain,
the_carrier(sK2) = sF39,
introduced(function_definition,[]) ).
fof(f368,plain,
! [X2,X0,X1,X4] :
( element(sK33(X0,X1,X2,X4),the_carrier(X1))
| ~ in(X4,sK30(X0,X1,X2))
| sP0(X1,X0,X2)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f4601,plain,
in(sK4(sK30(sK1,sK2,sK3)),sK30(sK1,sK2,sK3)),
inference(factoring,[],[f2718]) ).
fof(f2718,plain,
! [X0] :
( in(sK4(X0),sK30(sK1,sK2,sK3))
| in(sK4(X0),X0) ),
inference(duplicate_literal_removal,[],[f2717]) ).
fof(f2717,plain,
! [X0] :
( in(sK4(X0),sK30(sK1,sK2,sK3))
| in(sK4(X0),X0)
| in(sK4(X0),X0) ),
inference(superposition,[],[f2070,f254]) ).
fof(f254,plain,
! [X3] :
( sK3 = topstr_closure(sK1,sK5(X3))
| in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f2070,plain,
! [X1] :
( in(sK4(X1),sK30(sK1,sK2,topstr_closure(sK1,sK5(X1))))
| in(sK4(X1),X1) ),
inference(subsumption_resolution,[],[f2069,f413]) ).
fof(f413,plain,
! [X3] :
( in(sK4(X3),sF39)
| in(sK4(X3),X3) ),
inference(definition_folding,[],[f251,f409]) ).
fof(f251,plain,
! [X3] :
( in(sK4(X3),the_carrier(sK2))
| in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f2069,plain,
! [X1] :
( ~ in(sK4(X1),sF39)
| in(sK4(X1),sK30(sK1,sK2,topstr_closure(sK1,sK5(X1))))
| in(sK4(X1),X1) ),
inference(forward_demodulation,[],[f2068,f409]) ).
fof(f2068,plain,
! [X1] :
( in(sK4(X1),sK30(sK1,sK2,topstr_closure(sK1,sK5(X1))))
| ~ in(sK4(X1),the_carrier(sK2))
| in(sK4(X1),X1) ),
inference(subsumption_resolution,[],[f2067,f425]) ).
fof(f425,plain,
! [X0] :
( element(sK4(X0),sF39)
| in(sK4(X0),X0) ),
inference(duplicate_literal_removal,[],[f424]) ).
fof(f424,plain,
! [X0] :
( element(sK4(X0),sF39)
| in(sK4(X0),X0)
| in(sK4(X0),X0) ),
inference(superposition,[],[f412,f255]) ).
fof(f255,plain,
! [X3] :
( sK4(X3) = sK6(X3)
| in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f412,plain,
! [X3] :
( element(sK6(X3),sF39)
| in(sK4(X3),X3) ),
inference(definition_folding,[],[f253,f409]) ).
fof(f253,plain,
! [X3] :
( element(sK6(X3),the_carrier(sK2))
| in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f2067,plain,
! [X1] :
( ~ element(sK4(X1),sF39)
| in(sK4(X1),sK30(sK1,sK2,topstr_closure(sK1,sK5(X1))))
| ~ in(sK4(X1),the_carrier(sK2))
| in(sK4(X1),X1) ),
inference(forward_demodulation,[],[f2066,f409]) ).
fof(f2066,plain,
! [X1] :
( in(sK4(X1),sK30(sK1,sK2,topstr_closure(sK1,sK5(X1))))
| ~ element(sK4(X1),the_carrier(sK2))
| ~ in(sK4(X1),the_carrier(sK2))
| in(sK4(X1),X1) ),
inference(subsumption_resolution,[],[f2065,f252]) ).
fof(f252,plain,
! [X3] :
( netstr_induced_subset(sK5(X3),sK1,sK2)
| in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f2065,plain,
! [X1] :
( in(sK4(X1),sK30(sK1,sK2,topstr_closure(sK1,sK5(X1))))
| ~ element(sK4(X1),the_carrier(sK2))
| ~ netstr_induced_subset(sK5(X1),sK1,sK2)
| ~ in(sK4(X1),the_carrier(sK2))
| in(sK4(X1),X1) ),
inference(subsumption_resolution,[],[f2064,f247]) ).
fof(f2064,plain,
! [X1] :
( in(sK4(X1),sK30(sK1,sK2,topstr_closure(sK1,sK5(X1))))
| ~ element(sK4(X1),the_carrier(sK2))
| ~ netstr_induced_subset(sK5(X1),sK1,sK2)
| ~ in(sK4(X1),the_carrier(sK2))
| empty_carrier(sK2)
| in(sK4(X1),X1) ),
inference(subsumption_resolution,[],[f2063,f248]) ).
fof(f2063,plain,
! [X1] :
( in(sK4(X1),sK30(sK1,sK2,topstr_closure(sK1,sK5(X1))))
| ~ element(sK4(X1),the_carrier(sK2))
| ~ netstr_induced_subset(sK5(X1),sK1,sK2)
| ~ in(sK4(X1),the_carrier(sK2))
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| in(sK4(X1),X1) ),
inference(subsumption_resolution,[],[f2062,f249]) ).
fof(f2062,plain,
! [X1] :
( in(sK4(X1),sK30(sK1,sK2,topstr_closure(sK1,sK5(X1))))
| ~ element(sK4(X1),the_carrier(sK2))
| ~ netstr_induced_subset(sK5(X1),sK1,sK2)
| ~ in(sK4(X1),the_carrier(sK2))
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| in(sK4(X1),X1) ),
inference(subsumption_resolution,[],[f2048,f250]) ).
fof(f2048,plain,
! [X1] :
( in(sK4(X1),sK30(sK1,sK2,topstr_closure(sK1,sK5(X1))))
| ~ element(sK4(X1),the_carrier(sK2))
| ~ netstr_induced_subset(sK5(X1),sK1,sK2)
| ~ in(sK4(X1),the_carrier(sK2))
| ~ net_str(sK2,sK1)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| in(sK4(X1),X1) ),
inference(superposition,[],[f1021,f547]) ).
fof(f547,plain,
! [X0] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK4(X0))),sF38,the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK4(X0)))) = sK5(X0)
| in(sK4(X0),X0) ),
inference(duplicate_literal_removal,[],[f543]) ).
fof(f543,plain,
! [X0] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK4(X0))),sF38,the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK4(X0)))) = sK5(X0)
| in(sK4(X0),X0)
| in(sK4(X0),X0) ),
inference(superposition,[],[f411,f255]) ).
fof(f411,plain,
! [X3] :
( sK5(X3) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(X3))),sF38,the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(X3))))
| in(sK4(X3),X3) ),
inference(definition_folding,[],[f256,f408]) ).
fof(f408,plain,
the_carrier(sK1) = sF38,
introduced(function_definition,[]) ).
fof(f256,plain,
! [X3] :
( sK5(X3) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(X3))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(X3))))
| in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f1021,plain,
! [X0,X1] :
( in(X0,sK30(sK1,X1,topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X1,X0))))))
| ~ element(X0,the_carrier(X1))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X1,X0))),sK1,X1)
| ~ in(X0,the_carrier(X1))
| ~ net_str(X1,sK1)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1) ),
inference(subsumption_resolution,[],[f1020,f244]) ).
fof(f1020,plain,
! [X0,X1] :
( in(X0,sK30(sK1,X1,topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X1,X0))))))
| ~ element(X0,the_carrier(X1))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X1,X0))),sK1,X1)
| ~ in(X0,the_carrier(X1))
| ~ net_str(X1,sK1)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f1019,f245]) ).
fof(f1019,plain,
! [X0,X1] :
( in(X0,sK30(sK1,X1,topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X1,X0))))))
| ~ element(X0,the_carrier(X1))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X1,X0))),sK1,X1)
| ~ in(X0,the_carrier(X1))
| ~ net_str(X1,sK1)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f1018,f246]) ).
fof(f1018,plain,
! [X0,X1] :
( in(X0,sK30(sK1,X1,topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X1,X0))))))
| ~ element(X0,the_carrier(X1))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X1,X0))),sK1,X1)
| ~ in(X0,the_carrier(X1))
| ~ net_str(X1,sK1)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f1010,f567]) ).
fof(f1010,plain,
! [X0,X1] :
( in(X0,sK30(sK1,X1,topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X1,X0))))))
| ~ element(X0,the_carrier(X1))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X1,X0))),sK1,X1)
| ~ in(X0,the_carrier(X1))
| sP0(X1,sK1,topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X1,X0)))))
| ~ net_str(X1,sK1)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(superposition,[],[f407,f408]) ).
fof(f407,plain,
! [X0,X1,X7] :
( in(X7,sK30(X0,X1,topstr_closure(X0,relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))))))
| ~ element(X7,the_carrier(X1))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))),X0,X1)
| ~ in(X7,the_carrier(X1))
| sP0(X1,X0,topstr_closure(X0,relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7)))))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(equality_resolution,[],[f406]) ).
fof(f406,plain,
! [X0,X1,X7,X5] :
( in(X7,sK30(X0,X1,topstr_closure(X0,relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))))))
| ~ element(X7,the_carrier(X1))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))),X0,X1)
| X5 != X7
| ~ in(X5,the_carrier(X1))
| sP0(X1,X0,topstr_closure(X0,relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7)))))
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(equality_resolution,[],[f405]) ).
fof(f405,plain,
! [X2,X0,X1,X7,X5] :
( in(X7,sK30(X0,X1,X2))
| topstr_closure(X0,relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7)))) != X2
| ~ element(X7,the_carrier(X1))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))),X0,X1)
| X5 != X7
| ~ in(X5,the_carrier(X1))
| sP0(X1,X0,X2)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(equality_resolution,[],[f404]) ).
fof(f404,plain,
! [X2,X0,X1,X7,X4,X5] :
( in(X4,sK30(X0,X1,X2))
| X4 != X7
| topstr_closure(X0,relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7)))) != X2
| ~ element(X7,the_carrier(X1))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))),X0,X1)
| X4 != X5
| ~ in(X5,the_carrier(X1))
| sP0(X1,X0,X2)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(equality_resolution,[],[f372]) ).
fof(f372,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( in(X4,sK30(X0,X1,X2))
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) != X6
| X4 != X7
| topstr_closure(X0,X6) != X2
| ~ element(X7,the_carrier(X1))
| ~ netstr_induced_subset(X6,X0,X1)
| X4 != X5
| ~ in(X5,the_carrier(X1))
| sP0(X1,X0,X2)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f25919,plain,
~ element(sK4(sK30(sK1,sK2,sK3)),sF39),
inference(subsumption_resolution,[],[f25918,f4601]) ).
fof(f25918,plain,
( ~ in(sK4(sK30(sK1,sK2,sK3)),sK30(sK1,sK2,sK3))
| ~ element(sK4(sK30(sK1,sK2,sK3)),sF39) ),
inference(subsumption_resolution,[],[f25916,f4728]) ).
fof(f4728,plain,
in(sK4(sK30(sK1,sK2,sK3)),sF39),
inference(subsumption_resolution,[],[f4727,f244]) ).
fof(f4727,plain,
( in(sK4(sK30(sK1,sK2,sK3)),sF39)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f4726,f245]) ).
fof(f4726,plain,
( in(sK4(sK30(sK1,sK2,sK3)),sF39)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f4725,f246]) ).
fof(f4725,plain,
( in(sK4(sK30(sK1,sK2,sK3)),sF39)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f4711,f250]) ).
fof(f4711,plain,
( in(sK4(sK30(sK1,sK2,sK3)),sF39)
| ~ net_str(sK2,sK1)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(resolution,[],[f4601,f1451]) ).
fof(f1451,plain,
! [X2,X0,X1] :
( ~ in(X2,sK30(X0,sK2,X1))
| in(X2,sF39)
| ~ net_str(sK2,X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f1450,f247]) ).
fof(f1450,plain,
! [X2,X0,X1] :
( in(X2,sF39)
| ~ in(X2,sK30(X0,sK2,X1))
| ~ net_str(sK2,X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f1449,f248]) ).
fof(f1449,plain,
! [X2,X0,X1] :
( in(X2,sF39)
| ~ in(X2,sK30(X0,sK2,X1))
| ~ net_str(sK2,X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f1448,f249]) ).
fof(f1448,plain,
! [X2,X0,X1] :
( in(X2,sF39)
| ~ in(X2,sK30(X0,sK2,X1))
| ~ net_str(sK2,X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f1447,f567]) ).
fof(f1447,plain,
! [X2,X0,X1] :
( in(X2,sF39)
| ~ in(X2,sK30(X0,sK2,X1))
| ~ net_str(sK2,X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| sP0(sK2,X0,X1)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2) ),
inference(duplicate_literal_removal,[],[f1446]) ).
fof(f1446,plain,
! [X2,X0,X1] :
( in(X2,sF39)
| ~ in(X2,sK30(X0,sK2,X1))
| ~ net_str(sK2,X0)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0)
| ~ in(X2,sK30(X0,sK2,X1))
| sP0(sK2,X0,X1)
| ~ net_str(sK2,X0)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(superposition,[],[f973,f366]) ).
fof(f366,plain,
! [X2,X0,X1,X4] :
( sK31(X0,X1,X2,X4) = X4
| ~ in(X4,sK30(X0,X1,X2))
| sP0(X1,X0,X2)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f973,plain,
! [X3,X4,X5] :
( in(sK31(X3,sK2,X4,X5),sF39)
| ~ in(X5,sK30(X3,sK2,X4))
| ~ net_str(sK2,X3)
| ~ top_str(X3)
| ~ topological_space(X3)
| empty_carrier(X3) ),
inference(subsumption_resolution,[],[f972,f247]) ).
fof(f972,plain,
! [X3,X4,X5] :
( in(sK31(X3,sK2,X4,X5),sF39)
| ~ in(X5,sK30(X3,sK2,X4))
| ~ net_str(sK2,X3)
| empty_carrier(sK2)
| ~ top_str(X3)
| ~ topological_space(X3)
| empty_carrier(X3) ),
inference(subsumption_resolution,[],[f971,f248]) ).
fof(f971,plain,
! [X3,X4,X5] :
( in(sK31(X3,sK2,X4,X5),sF39)
| ~ in(X5,sK30(X3,sK2,X4))
| ~ net_str(sK2,X3)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(X3)
| ~ topological_space(X3)
| empty_carrier(X3) ),
inference(subsumption_resolution,[],[f970,f249]) ).
fof(f970,plain,
! [X3,X4,X5] :
( in(sK31(X3,sK2,X4,X5),sF39)
| ~ in(X5,sK30(X3,sK2,X4))
| ~ net_str(sK2,X3)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(X3)
| ~ topological_space(X3)
| empty_carrier(X3) ),
inference(subsumption_resolution,[],[f964,f567]) ).
fof(f964,plain,
! [X3,X4,X5] :
( in(sK31(X3,sK2,X4,X5),sF39)
| ~ in(X5,sK30(X3,sK2,X4))
| sP0(sK2,X3,X4)
| ~ net_str(sK2,X3)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(X3)
| ~ topological_space(X3)
| empty_carrier(X3) ),
inference(superposition,[],[f365,f409]) ).
fof(f365,plain,
! [X2,X0,X1,X4] :
( in(sK31(X0,X1,X2,X4),the_carrier(X1))
| ~ in(X4,sK30(X0,X1,X2))
| sP0(X1,X0,X2)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f25916,plain,
( ~ in(sK4(sK30(sK1,sK2,sK3)),sF39)
| ~ in(sK4(sK30(sK1,sK2,sK3)),sK30(sK1,sK2,sK3))
| ~ element(sK4(sK30(sK1,sK2,sK3)),sF39) ),
inference(resolution,[],[f25168,f4601]) ).
fof(f25168,plain,
! [X4] :
( ~ in(sK4(X4),sK30(sK1,sK2,sK3))
| ~ in(sK4(X4),sF39)
| ~ in(sK4(X4),X4)
| ~ element(sK4(X4),sF39) ),
inference(subsumption_resolution,[],[f25167,f244]) ).
fof(f25167,plain,
! [X4] :
( ~ element(sK4(X4),sF39)
| ~ in(sK4(X4),sF39)
| ~ in(sK4(X4),X4)
| ~ in(sK4(X4),sK30(sK1,sK2,sK3))
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f25166,f245]) ).
fof(f25166,plain,
! [X4] :
( ~ element(sK4(X4),sF39)
| ~ in(sK4(X4),sF39)
| ~ in(sK4(X4),X4)
| ~ in(sK4(X4),sK30(sK1,sK2,sK3))
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f25165,f246]) ).
fof(f25165,plain,
! [X4] :
( ~ element(sK4(X4),sF39)
| ~ in(sK4(X4),sF39)
| ~ in(sK4(X4),X4)
| ~ in(sK4(X4),sK30(sK1,sK2,sK3))
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f25164,f247]) ).
fof(f25164,plain,
! [X4] :
( ~ element(sK4(X4),sF39)
| ~ in(sK4(X4),sF39)
| ~ in(sK4(X4),X4)
| ~ in(sK4(X4),sK30(sK1,sK2,sK3))
| empty_carrier(sK2)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f25163,f248]) ).
fof(f25163,plain,
! [X4] :
( ~ element(sK4(X4),sF39)
| ~ in(sK4(X4),sF39)
| ~ in(sK4(X4),X4)
| ~ in(sK4(X4),sK30(sK1,sK2,sK3))
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f25162,f249]) ).
fof(f25162,plain,
! [X4] :
( ~ element(sK4(X4),sF39)
| ~ in(sK4(X4),sF39)
| ~ in(sK4(X4),X4)
| ~ in(sK4(X4),sK30(sK1,sK2,sK3))
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f25161,f250]) ).
fof(f25161,plain,
! [X4] :
( ~ element(sK4(X4),sF39)
| ~ in(sK4(X4),sF39)
| ~ in(sK4(X4),X4)
| ~ in(sK4(X4),sK30(sK1,sK2,sK3))
| ~ net_str(sK2,sK1)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f25154,f567]) ).
fof(f25154,plain,
! [X4] :
( ~ element(sK4(X4),sF39)
| ~ in(sK4(X4),sF39)
| ~ in(sK4(X4),X4)
| ~ in(sK4(X4),sK30(sK1,sK2,sK3))
| sP0(sK2,sK1,sK3)
| ~ net_str(sK2,sK1)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(duplicate_literal_removal,[],[f25143]) ).
fof(f25143,plain,
! [X4] :
( ~ element(sK4(X4),sF39)
| ~ in(sK4(X4),sF39)
| ~ in(sK4(X4),X4)
| ~ in(sK4(X4),sK30(sK1,sK2,sK3))
| ~ in(sK4(X4),sK30(sK1,sK2,sK3))
| sP0(sK2,sK1,sK3)
| ~ net_str(sK2,sK1)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(resolution,[],[f16671,f367]) ).
fof(f367,plain,
! [X2,X0,X1,X4] :
( netstr_induced_subset(sK32(X0,X1,X2,X4),X0,X1)
| ~ in(X4,sK30(X0,X1,X2))
| sP0(X1,X0,X2)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f16671,plain,
! [X0] :
( ~ netstr_induced_subset(sK32(sK1,sK2,sK3,sK4(X0)),sK1,sK2)
| ~ element(sK4(X0),sF39)
| ~ in(sK4(X0),sF39)
| ~ in(sK4(X0),X0)
| ~ in(sK4(X0),sK30(sK1,sK2,sK3)) ),
inference(equality_resolution,[],[f6320]) ).
fof(f6320,plain,
! [X0,X1] :
( sK3 != X0
| ~ element(sK4(X1),sF39)
| ~ netstr_induced_subset(sK32(sK1,sK2,X0,sK4(X1)),sK1,sK2)
| ~ in(sK4(X1),sF39)
| ~ in(sK4(X1),X1)
| ~ in(sK4(X1),sK30(sK1,sK2,X0)) ),
inference(subsumption_resolution,[],[f6319,f244]) ).
fof(f6319,plain,
! [X0,X1] :
( sK3 != X0
| ~ element(sK4(X1),sF39)
| ~ netstr_induced_subset(sK32(sK1,sK2,X0,sK4(X1)),sK1,sK2)
| ~ in(sK4(X1),sF39)
| ~ in(sK4(X1),X1)
| ~ in(sK4(X1),sK30(sK1,sK2,X0))
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f6318,f245]) ).
fof(f6318,plain,
! [X0,X1] :
( sK3 != X0
| ~ element(sK4(X1),sF39)
| ~ netstr_induced_subset(sK32(sK1,sK2,X0,sK4(X1)),sK1,sK2)
| ~ in(sK4(X1),sF39)
| ~ in(sK4(X1),X1)
| ~ in(sK4(X1),sK30(sK1,sK2,X0))
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f6317,f246]) ).
fof(f6317,plain,
! [X0,X1] :
( sK3 != X0
| ~ element(sK4(X1),sF39)
| ~ netstr_induced_subset(sK32(sK1,sK2,X0,sK4(X1)),sK1,sK2)
| ~ in(sK4(X1),sF39)
| ~ in(sK4(X1),X1)
| ~ in(sK4(X1),sK30(sK1,sK2,X0))
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f6316,f247]) ).
fof(f6316,plain,
! [X0,X1] :
( sK3 != X0
| ~ element(sK4(X1),sF39)
| ~ netstr_induced_subset(sK32(sK1,sK2,X0,sK4(X1)),sK1,sK2)
| ~ in(sK4(X1),sF39)
| ~ in(sK4(X1),X1)
| ~ in(sK4(X1),sK30(sK1,sK2,X0))
| empty_carrier(sK2)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f6315,f248]) ).
fof(f6315,plain,
! [X0,X1] :
( sK3 != X0
| ~ element(sK4(X1),sF39)
| ~ netstr_induced_subset(sK32(sK1,sK2,X0,sK4(X1)),sK1,sK2)
| ~ in(sK4(X1),sF39)
| ~ in(sK4(X1),X1)
| ~ in(sK4(X1),sK30(sK1,sK2,X0))
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f6314,f249]) ).
fof(f6314,plain,
! [X0,X1] :
( sK3 != X0
| ~ element(sK4(X1),sF39)
| ~ netstr_induced_subset(sK32(sK1,sK2,X0,sK4(X1)),sK1,sK2)
| ~ in(sK4(X1),sF39)
| ~ in(sK4(X1),X1)
| ~ in(sK4(X1),sK30(sK1,sK2,X0))
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f6313,f250]) ).
fof(f6313,plain,
! [X0,X1] :
( sK3 != X0
| ~ element(sK4(X1),sF39)
| ~ netstr_induced_subset(sK32(sK1,sK2,X0,sK4(X1)),sK1,sK2)
| ~ in(sK4(X1),sF39)
| ~ in(sK4(X1),X1)
| ~ in(sK4(X1),sK30(sK1,sK2,X0))
| ~ net_str(sK2,sK1)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f6296,f567]) ).
fof(f6296,plain,
! [X0,X1] :
( sK3 != X0
| ~ element(sK4(X1),sF39)
| ~ netstr_induced_subset(sK32(sK1,sK2,X0,sK4(X1)),sK1,sK2)
| ~ in(sK4(X1),sF39)
| ~ in(sK4(X1),X1)
| ~ in(sK4(X1),sK30(sK1,sK2,X0))
| sP0(sK2,sK1,X0)
| ~ net_str(sK2,sK1)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(duplicate_literal_removal,[],[f6295]) ).
fof(f6295,plain,
! [X0,X1] :
( sK3 != X0
| ~ element(sK4(X1),sF39)
| ~ netstr_induced_subset(sK32(sK1,sK2,X0,sK4(X1)),sK1,sK2)
| ~ in(sK4(X1),sF39)
| ~ in(sK4(X1),X1)
| ~ in(sK4(X1),sK30(sK1,sK2,X0))
| ~ in(sK4(X1),sK30(sK1,sK2,X0))
| sP0(sK2,sK1,X0)
| ~ net_str(sK2,sK1)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(superposition,[],[f4369,f369]) ).
fof(f369,plain,
! [X2,X0,X1,X4] :
( topstr_closure(X0,sK32(X0,X1,X2,X4)) = X2
| ~ in(X4,sK30(X0,X1,X2))
| sP0(X1,X0,X2)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f4369,plain,
! [X4,X5] :
( sK3 != topstr_closure(sK1,sK32(sK1,sK2,X5,sK4(X4)))
| ~ element(sK4(X4),sF39)
| ~ netstr_induced_subset(sK32(sK1,sK2,X5,sK4(X4)),sK1,sK2)
| ~ in(sK4(X4),sF39)
| ~ in(sK4(X4),X4)
| ~ in(sK4(X4),sK30(sK1,sK2,X5)) ),
inference(subsumption_resolution,[],[f4368,f247]) ).
fof(f4368,plain,
! [X4,X5] :
( sK3 != topstr_closure(sK1,sK32(sK1,sK2,X5,sK4(X4)))
| ~ element(sK4(X4),sF39)
| ~ netstr_induced_subset(sK32(sK1,sK2,X5,sK4(X4)),sK1,sK2)
| ~ in(sK4(X4),sF39)
| ~ in(sK4(X4),X4)
| ~ in(sK4(X4),sK30(sK1,sK2,X5))
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f4367,f248]) ).
fof(f4367,plain,
! [X4,X5] :
( sK3 != topstr_closure(sK1,sK32(sK1,sK2,X5,sK4(X4)))
| ~ element(sK4(X4),sF39)
| ~ netstr_induced_subset(sK32(sK1,sK2,X5,sK4(X4)),sK1,sK2)
| ~ in(sK4(X4),sF39)
| ~ in(sK4(X4),X4)
| ~ in(sK4(X4),sK30(sK1,sK2,X5))
| ~ transitive_relstr(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f4366,f249]) ).
fof(f4366,plain,
! [X4,X5] :
( sK3 != topstr_closure(sK1,sK32(sK1,sK2,X5,sK4(X4)))
| ~ element(sK4(X4),sF39)
| ~ netstr_induced_subset(sK32(sK1,sK2,X5,sK4(X4)),sK1,sK2)
| ~ in(sK4(X4),sF39)
| ~ in(sK4(X4),X4)
| ~ in(sK4(X4),sK30(sK1,sK2,X5))
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f3197,f250]) ).
fof(f3197,plain,
! [X4,X5] :
( sK3 != topstr_closure(sK1,sK32(sK1,sK2,X5,sK4(X4)))
| ~ element(sK4(X4),sF39)
| ~ netstr_induced_subset(sK32(sK1,sK2,X5,sK4(X4)),sK1,sK2)
| ~ in(sK4(X4),sF39)
| ~ in(sK4(X4),X4)
| ~ in(sK4(X4),sK30(sK1,sK2,X5))
| ~ net_str(sK2,sK1)
| ~ directed_relstr(sK2)
| ~ transitive_relstr(sK2)
| empty_carrier(sK2) ),
inference(superposition,[],[f410,f1984]) ).
fof(f1984,plain,
! [X2,X0,X1] :
( sK32(sK1,X0,X1,X2) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,X2)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X0,X2)))
| ~ in(X2,sK30(sK1,X0,X1))
| ~ net_str(X0,sK1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f1983,f244]) ).
fof(f1983,plain,
! [X2,X0,X1] :
( sK32(sK1,X0,X1,X2) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,X2)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X0,X2)))
| ~ in(X2,sK30(sK1,X0,X1))
| ~ net_str(X0,sK1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f1982,f245]) ).
fof(f1982,plain,
! [X2,X0,X1] :
( sK32(sK1,X0,X1,X2) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,X2)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X0,X2)))
| ~ in(X2,sK30(sK1,X0,X1))
| ~ net_str(X0,sK1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f1981,f246]) ).
fof(f1981,plain,
! [X2,X0,X1] :
( sK32(sK1,X0,X1,X2) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,X2)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X0,X2)))
| ~ in(X2,sK30(sK1,X0,X1))
| ~ net_str(X0,sK1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f1980,f567]) ).
fof(f1980,plain,
! [X2,X0,X1] :
( sK32(sK1,X0,X1,X2) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,X2)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X0,X2)))
| ~ in(X2,sK30(sK1,X0,X1))
| ~ net_str(X0,sK1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| sP0(X0,sK1,X1)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(duplicate_literal_removal,[],[f1975]) ).
fof(f1975,plain,
! [X2,X0,X1] :
( sK32(sK1,X0,X1,X2) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,X2)),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X0,X2)))
| ~ in(X2,sK30(sK1,X0,X1))
| ~ net_str(X0,sK1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ in(X2,sK30(sK1,X0,X1))
| sP0(X0,sK1,X1)
| ~ net_str(X0,sK1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(superposition,[],[f998,f370]) ).
fof(f998,plain,
! [X2,X0,X1] :
( sK32(sK1,X0,X1,X2) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,sK33(sK1,X0,X1,X2))),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X0,sK33(sK1,X0,X1,X2))))
| ~ in(X2,sK30(sK1,X0,X1))
| ~ net_str(X0,sK1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0) ),
inference(subsumption_resolution,[],[f997,f244]) ).
fof(f997,plain,
! [X2,X0,X1] :
( sK32(sK1,X0,X1,X2) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,sK33(sK1,X0,X1,X2))),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X0,sK33(sK1,X0,X1,X2))))
| ~ in(X2,sK30(sK1,X0,X1))
| ~ net_str(X0,sK1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f996,f245]) ).
fof(f996,plain,
! [X2,X0,X1] :
( sK32(sK1,X0,X1,X2) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,sK33(sK1,X0,X1,X2))),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X0,sK33(sK1,X0,X1,X2))))
| ~ in(X2,sK30(sK1,X0,X1))
| ~ net_str(X0,sK1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f995,f246]) ).
fof(f995,plain,
! [X2,X0,X1] :
( sK32(sK1,X0,X1,X2) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,sK33(sK1,X0,X1,X2))),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X0,sK33(sK1,X0,X1,X2))))
| ~ in(X2,sK30(sK1,X0,X1))
| ~ net_str(X0,sK1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(subsumption_resolution,[],[f988,f567]) ).
fof(f988,plain,
! [X2,X0,X1] :
( sK32(sK1,X0,X1,X2) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,sK33(sK1,X0,X1,X2))),sF38,the_mapping(sK1,subnetstr_of_element(sK1,X0,sK33(sK1,X0,X1,X2))))
| ~ in(X2,sK30(sK1,X0,X1))
| sP0(X0,sK1,X1)
| ~ net_str(X0,sK1)
| ~ directed_relstr(X0)
| ~ transitive_relstr(X0)
| empty_carrier(X0)
| ~ top_str(sK1)
| ~ topological_space(sK1)
| empty_carrier(sK1) ),
inference(superposition,[],[f371,f408]) ).
fof(f371,plain,
! [X2,X0,X1,X4] :
( sK32(X0,X1,X2,X4) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,sK33(X0,X1,X2,X4))),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,sK33(X0,X1,X2,X4))))
| ~ in(X4,sK30(X0,X1,X2))
| sP0(X1,X0,X2)
| ~ net_str(X1,X0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| empty_carrier(X1)
| ~ top_str(X0)
| ~ topological_space(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f410,plain,
! [X3] :
( sK3 != topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK4(X3))),sF38,the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK4(X3)))))
| ~ element(sK4(X3),sF39)
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK4(X3))),sF38,the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK4(X3)))),sK1,sK2)
| ~ in(sK4(X3),sF39)
| ~ in(sK4(X3),X3) ),
inference(definition_folding,[],[f403,f409,f408,f409,f408]) ).
fof(f403,plain,
! [X3] :
( sK3 != topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK4(X3))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK4(X3)))))
| ~ element(sK4(X3),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK4(X3))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK4(X3)))),sK1,sK2)
| ~ in(sK4(X3),the_carrier(sK2))
| ~ in(sK4(X3),X3) ),
inference(equality_resolution,[],[f402]) ).
fof(f402,plain,
! [X3,X6] :
( sK4(X3) != X6
| sK3 != topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X6)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X6))))
| ~ element(X6,the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X6)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X6))),sK1,sK2)
| ~ in(sK4(X3),the_carrier(sK2))
| ~ in(sK4(X3),X3) ),
inference(equality_resolution,[],[f257]) ).
fof(f257,plain,
! [X3,X6,X5] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X6)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X6))) != X5
| sK4(X3) != X6
| topstr_closure(sK1,X5) != sK3
| ~ element(X6,the_carrier(sK2))
| ~ netstr_induced_subset(X5,sK1,sK2)
| ~ in(sK4(X3),the_carrier(sK2))
| ~ in(sK4(X3),X3) ),
inference(cnf_transformation,[],[f187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU399+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 20:54:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.34 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.umfcCYO3AC/Vampire---4.8_25211
% 0.13/0.34 % (25333)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.38 % (25337)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.18/0.40 % (25336)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.18/0.40 % (25339)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.18/0.40 % (25338)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.18/0.40 % (25335)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.18/0.40 % (25340)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.18/0.40 % (25334)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.18/0.41 % (25340)Refutation not found, incomplete strategy% (25340)------------------------------
% 0.18/0.41 % (25340)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.41 % (25340)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.41 % (25340)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.41
% 0.18/0.41 % (25340)Memory used [KB]: 5884
% 0.18/0.41 % (25340)Time elapsed: 0.009 s
% 0.18/0.41 % (25340)------------------------------
% 0.18/0.41 % (25340)------------------------------
% 0.18/0.46 % (25341)lrs-11_32_amm=off:bce=on:cond=on:er=filter:fsd=off:fde=none:gs=on:gsem=on:lcm=reverse:nm=4:nwc=1.1:sos=all:sac=on:sp=frequency:urr=on:stl=125_403 on Vampire---4 for (403ds/0Mi)
% 279.83/40.85 % (25341)Time limit reached!
% 279.83/40.85 % (25341)------------------------------
% 279.83/40.85 % (25341)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 279.83/40.85 % (25341)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 279.83/40.85 % (25341)Termination reason: Time limit
% 279.83/40.85 % (25341)Termination phase: Saturation
% 279.83/40.85
% 279.83/40.85 % (25341)Memory used [KB]: 928897
% 279.83/40.85 % (25341)Time elapsed: 40.400 s
% 279.83/40.85 % (25341)------------------------------
% 279.83/40.85 % (25341)------------------------------
% 280.33/40.93 % (25826)lrs+1010_5:1_bd=off:fsd=off:fde=unused:lcm=predicate:nm=64:nwc=1.7:sac=on:sp=frequency:tgt=ground:stl=62_333 on Vampire---4 for (333ds/0Mi)
% 286.60/41.96 % (25826)First to succeed.
% 286.60/41.97 % (25826)Refutation found. Thanks to Tanya!
% 286.60/41.97 % SZS status Theorem for Vampire---4
% 286.60/41.97 % SZS output start Proof for Vampire---4
% See solution above
% 286.60/41.97 % (25826)------------------------------
% 286.60/41.97 % (25826)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 286.60/41.97 % (25826)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 286.60/41.97 % (25826)Termination reason: Refutation
% 286.60/41.97
% 286.60/41.97 % (25826)Memory used [KB]: 21364
% 286.60/41.97 % (25826)Time elapsed: 1.036 s
% 286.60/41.97 % (25826)------------------------------
% 286.60/41.97 % (25826)------------------------------
% 286.60/41.97 % (25333)Success in time 41.623 s
% 286.60/41.97 % Vampire---4.8 exiting
%------------------------------------------------------------------------------