%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU399+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:48:43 PM UTC 2026
% Result : Theorem 3.11s 1.34s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 5
% Syntax : Number of formulae : 92 ( 10 unt; 3 def)
% Number of atoms : 668 ( 170 equ)
% Maximal formula atoms : 28 ( 7 avg)
% Number of connectives : 895 ( 319 ~; 319 |; 238 &)
% ( 8 <=>; 9 =>; 0 <=; 2 <~>)
% Maximal formula depth : 24 ( 10 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-4 aty)
% Number of variables : 318 ( 219 !; 99 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X3] :
? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,the_carrier(X1))
& ? [X6] :
( netstr_induced_subset(X6,X0,X1)
& ? [X7] :
( element(X7,the_carrier(X1))
& X3 = topstr_closure(X0,X6)
& X5 = X7
& X6 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e6_39_3__yellow19__1) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X3] :
? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,the_carrier(X1))
& ? [X6] :
( netstr_induced_subset(X6,X0,X1)
& ? [X7] :
( element(X7,the_carrier(X1))
& X3 = topstr_closure(X0,X6)
& X5 = X7
& X6 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X3] :
( ! [X4,X5,X6] :
( ( X4 = X5
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X5 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) )
& X4 = X6
& ? [X9] :
( netstr_induced_subset(X9,X0,X1)
& ? [X10] :
( element(X10,the_carrier(X1))
& X3 = topstr_closure(X0,X9)
& X6 = X10
& X9 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) ) ) )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,the_carrier(X1))
& X6 = X5
& ? [X11] :
( netstr_induced_subset(X11,X0,X1)
& ? [X12] :
( element(X12,the_carrier(X1))
& X3 = topstr_closure(X0,X11)
& X5 = X12
& X11 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X12)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X12))) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e6_39_3__yellow19__1) ).
fof(f71,plain,
~ ! [X0,X1] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X3] :
? [X4] :
! [X5] :
( in(X5,X4)
<=> ( in(X5,the_carrier(X1))
& ? [X6] :
( netstr_induced_subset(X6,X0,X1)
& ? [X7] :
( element(X7,the_carrier(X1))
& X3 = topstr_closure(X0,X6)
& X5 = X7
& X6 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) ) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f72,plain,
! [X0,X1] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X3] :
( ! [X4,X5,X6] :
( ( X4 = X5
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X5 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) )
& X4 = X6
& ? [X9] :
( netstr_induced_subset(X9,X0,X1)
& ? [X10] :
( element(X10,the_carrier(X1))
& X3 = topstr_closure(X0,X9)
& X6 = X10
& X9 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) ) ) )
=> X5 = X6 )
=> ? [X11] :
! [X12] :
( in(X12,X11)
<=> ? [X13] :
( in(X13,the_carrier(X1))
& X12 = X13
& ? [X14] :
( netstr_induced_subset(X14,X0,X1)
& ? [X15] :
( element(X15,the_carrier(X1))
& topstr_closure(X0,X14) = X3
& X12 = 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 ) ) ) ) ) ),
inference(rectify,[],[f70]) ).
fof(f87,plain,
? [X0,X1] :
( ? [X3] :
! [X4] :
? [X5] :
( in(X5,X4)
<~> ( in(X5,the_carrier(X1))
& ? [X6] :
( netstr_induced_subset(X6,X0,X1)
& ? [X7] :
( element(X7,the_carrier(X1))
& X3 = topstr_closure(X0,X6)
& X5 = X7
& X6 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) ) ) ) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f88,plain,
? [X0,X1] :
( ? [X3] :
! [X4] :
? [X5] :
( in(X5,X4)
<~> ( in(X5,the_carrier(X1))
& ? [X6] :
( netstr_induced_subset(X6,X0,X1)
& ? [X7] :
( element(X7,the_carrier(X1))
& X3 = topstr_closure(X0,X6)
& X5 = X7
& X6 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) ) ) ) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) ),
inference(flattening,[],[f87]) ).
fof(f100,plain,
! [X0,X1] :
( ! [X3] :
( ? [X11] :
! [X12] :
( in(X12,X11)
<=> ? [X13] :
( in(X13,the_carrier(X1))
& X12 = X13
& ? [X14] :
( netstr_induced_subset(X14,X0,X1)
& ? [X15] :
( element(X15,the_carrier(X1))
& topstr_closure(X0,X14) = X3
& X12 = 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 ) ) ) )
| ? [X4,X5,X6] :
( X5 != X6
& X4 = X5
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X5 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) )
& X4 = X6
& ? [X9] :
( netstr_induced_subset(X9,X0,X1)
& ? [X10] :
( element(X10,the_carrier(X1))
& X3 = topstr_closure(X0,X9)
& X6 = X10
& X9 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) ) ) ) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f101,plain,
! [X0,X1] :
( ! [X3] :
( ? [X11] :
! [X12] :
( in(X12,X11)
<=> ? [X13] :
( in(X13,the_carrier(X1))
& X12 = X13
& ? [X14] :
( netstr_induced_subset(X14,X0,X1)
& ? [X15] :
( element(X15,the_carrier(X1))
& topstr_closure(X0,X14) = X3
& X12 = 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 ) ) ) )
| ? [X4,X5,X6] :
( X5 != X6
& X4 = X5
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X5 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) )
& X4 = X6
& ? [X9] :
( netstr_induced_subset(X9,X0,X1)
& ? [X10] :
( element(X10,the_carrier(X1))
& X3 = topstr_closure(X0,X9)
& X6 = X10
& X9 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) ) ) ) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(flattening,[],[f100]) ).
fof(f117,definition,
! [X1,X0,X3,X6] :
( ? [X9] :
( netstr_induced_subset(X9,X0,X1)
& ? [X10] :
( element(X10,the_carrier(X1))
& X3 = topstr_closure(X0,X9)
& X6 = X10
& X9 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X10)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X10))) ) )
| ~ sP0(X1,X0,X3,X6) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f118,definition,
! [X1,X0,X3,X5] :
( ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& X3 = topstr_closure(X0,X7)
& X5 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X8)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X8))) ) )
| ~ sP1(X1,X0,X3,X5) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f119,definition,
! [X1,X0,X3] :
( ? [X11] :
! [X12] :
( in(X12,X11)
<=> ? [X13] :
( in(X13,the_carrier(X1))
& X12 = X13
& ? [X14] :
( netstr_induced_subset(X14,X0,X1)
& ? [X15] :
( element(X15,the_carrier(X1))
& topstr_closure(X0,X14) = X3
& X12 = 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 ) ) ) )
| ~ sP2(X1,X0,X3) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f120,plain,
! [X0,X1] :
( ! [X3] :
( sP2(X1,X0,X3)
| ? [X4,X5,X6] :
( X5 != X6
& X4 = X5
& sP1(X1,X0,X3,X5)
& X4 = X6
& sP0(X1,X0,X3,X6) ) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(definition_folding,[],[f101,f119,f118,f117]) ).
fof(f121,plain,
? [X0,X1] :
( ? [X3] :
! [X4] :
? [X5] :
( ( ~ in(X5,the_carrier(X1))
| ! [X6] :
( ~ netstr_induced_subset(X6,X0,X1)
| ! [X7] :
( ~ element(X7,the_carrier(X1))
| topstr_closure(X0,X6) != X3
| X5 != 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 ) )
| ~ in(X5,X4) )
& ( ( in(X5,the_carrier(X1))
& ? [X6] :
( netstr_induced_subset(X6,X0,X1)
& ? [X7] :
( element(X7,the_carrier(X1))
& X3 = topstr_closure(X0,X6)
& X5 = X7
& X6 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) ) ) )
| in(X5,X4) ) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) ),
inference(nnf_transformation,[],[f88]) ).
fof(f122,plain,
? [X0,X1] :
( ? [X3] :
! [X4] :
? [X5] :
( ( ~ in(X5,the_carrier(X1))
| ! [X6] :
( ~ netstr_induced_subset(X6,X0,X1)
| ! [X7] :
( ~ element(X7,the_carrier(X1))
| topstr_closure(X0,X6) != X3
| X5 != 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 ) )
| ~ in(X5,X4) )
& ( ( in(X5,the_carrier(X1))
& ? [X6] :
( netstr_induced_subset(X6,X0,X1)
& ? [X7] :
( element(X7,the_carrier(X1))
& X3 = topstr_closure(X0,X6)
& X5 = X7
& X6 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X7)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X7))) ) ) )
| in(X5,X4) ) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
? [X0,X1] :
( ? [X2] :
! [X3] :
? [X4] :
( ( ~ in(X4,the_carrier(X1))
| ! [X5] :
( ~ netstr_induced_subset(X5,X0,X1)
| ! [X6] :
( ~ element(X6,the_carrier(X1))
| topstr_closure(X0,X5) != X2
| X4 != 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 ) )
| ~ in(X4,X3) )
& ( ( in(X4,the_carrier(X1))
& ? [X7] :
( netstr_induced_subset(X7,X0,X1)
& ? [X8] :
( element(X8,the_carrier(X1))
& topstr_closure(X0,X7) = X2
& X4 = 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 ) ) )
| in(X4,X3) ) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) ),
inference(rectify,[],[f122]) ).
fof(f124,plain,
( ! [X3] :
( ( ~ in(sK6(X3),the_carrier(sK4))
| ! [X5] :
( ~ netstr_induced_subset(X5,sK3,sK4)
| ! [X6] :
( ~ element(X6,the_carrier(sK4))
| sK5 != topstr_closure(sK3,X5)
| sK6(X3) != X6
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X6)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X6))) != X5 ) )
| ~ in(sK6(X3),X3) )
& ( ( in(sK6(X3),the_carrier(sK4))
& netstr_induced_subset(sK7(X3),sK3,sK4)
& element(sK8(X3),the_carrier(sK4))
& sK5 = topstr_closure(sK3,sK7(X3))
& sK6(X3) = sK8(X3)
& sK7(X3) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK8(X3))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK8(X3)))) )
| in(sK6(X3),X3) ) )
& ~ empty_carrier(sK3)
& topological_space(sK3)
& top_str(sK3)
& ~ empty_carrier(sK4)
& transitive_relstr(sK4)
& directed_relstr(sK4)
& net_str(sK4,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X4,sK6(X3)),skolemize(X7,sK7(X3)),skolemize(X8,sK8(X3))],[f123]) ).
fof(f127,plain,
! [X1,X0,X3] :
( ? [X11] :
! [X12] :
( ( in(X12,X11)
| ! [X13] :
( ~ in(X13,the_carrier(X1))
| X12 != X13
| ! [X14] :
( ~ netstr_induced_subset(X14,X0,X1)
| ! [X15] :
( ~ element(X15,the_carrier(X1))
| topstr_closure(X0,X14) != X3
| X12 != 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 ) ) ) )
& ( ? [X13] :
( in(X13,the_carrier(X1))
& X12 = X13
& ? [X14] :
( netstr_induced_subset(X14,X0,X1)
& ? [X15] :
( element(X15,the_carrier(X1))
& topstr_closure(X0,X14) = X3
& X12 = 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 ) ) )
| ~ in(X12,X11) ) )
| ~ sP2(X1,X0,X3) ),
inference(nnf_transformation,[],[f119]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ? [X3] :
! [X4] :
( ( in(X4,X3)
| ! [X5] :
( ~ in(X5,the_carrier(X0))
| X4 != X5
| ! [X6] :
( ~ netstr_induced_subset(X6,X1,X0)
| ! [X7] :
( ~ element(X7,the_carrier(X0))
| topstr_closure(X1,X6) != X2
| X4 != 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 ) ) ) )
& ( ? [X8] :
( in(X8,the_carrier(X0))
& X4 = X8
& ? [X9] :
( netstr_induced_subset(X9,X1,X0)
& ? [X10] :
( element(X10,the_carrier(X0))
& topstr_closure(X1,X9) = X2
& X4 = X10
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X10)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X10))) = X9 ) ) )
| ~ in(X4,X3) ) )
| ~ sP2(X0,X1,X2) ),
inference(rectify,[],[f127]) ).
fof(f129,plain,
! [X0,X1,X2] :
( ! [X4] :
( ( in(X4,sK11(X0,X1,X2))
| ! [X5] :
( ~ in(X5,the_carrier(X0))
| X4 != X5
| ! [X6] :
( ~ netstr_induced_subset(X6,X1,X0)
| ! [X7] :
( ~ element(X7,the_carrier(X0))
| topstr_closure(X1,X6) != X2
| X4 != 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 ) ) ) )
& ( ( in(sK12(X0,X1,X2,X4),the_carrier(X0))
& sK12(X0,X1,X2,X4) = X4
& netstr_induced_subset(sK13(X0,X1,X2,X4),X1,X0)
& element(sK14(X0,X1,X2,X4),the_carrier(X0))
& topstr_closure(X1,sK13(X0,X1,X2,X4)) = X2
& sK14(X0,X1,X2,X4) = X4
& sK13(X0,X1,X2,X4) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,sK14(X0,X1,X2,X4))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,sK14(X0,X1,X2,X4)))) )
| ~ in(X4,sK11(X0,X1,X2)) ) )
| ~ sP2(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14]),skolemize(X3,sK11(X0,X1,X2)),skolemize(X8,sK12(X0,X1,X2,X4)),skolemize(X9,sK13(X0,X1,X2,X4)),skolemize(X10,sK14(X0,X1,X2,X4))],[f128]) ).
fof(f136,plain,
! [X0,X1] :
( ! [X2] :
( sP2(X1,X0,X2)
| ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& sP1(X1,X0,X2,X4)
& X3 = X5
& sP0(X1,X0,X2,X5) ) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(rectify,[],[f120]) ).
fof(f137,plain,
! [X0,X1] :
( ! [X2] :
( sP2(X1,X0,X2)
| ( sK20(X0,X1,X2) != sK21(X0,X1,X2)
& sK19(X0,X1,X2) = sK20(X0,X1,X2)
& sP1(X1,X0,X2,sK20(X0,X1,X2))
& sK19(X0,X1,X2) = sK21(X0,X1,X2)
& sP0(X1,X0,X2,sK21(X0,X1,X2)) ) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21]),skolemize(X3,sK19(X0,X1,X2)),skolemize(X4,sK20(X0,X1,X2)),skolemize(X5,sK21(X0,X1,X2))],[f136]) ).
fof(f145,plain,
net_str(sK4,sK3),
inference(cnf_transformation,[],[f124]) ).
fof(f146,plain,
directed_relstr(sK4),
inference(cnf_transformation,[],[f124]) ).
fof(f147,plain,
transitive_relstr(sK4),
inference(cnf_transformation,[],[f124]) ).
fof(f148,plain,
~ empty_carrier(sK4),
inference(cnf_transformation,[],[f124]) ).
fof(f149,plain,
top_str(sK3),
inference(cnf_transformation,[],[f124]) ).
fof(f150,plain,
topological_space(sK3),
inference(cnf_transformation,[],[f124]) ).
fof(f151,plain,
~ empty_carrier(sK3),
inference(cnf_transformation,[],[f124]) ).
fof(f152,plain,
! [X3] :
( sK7(X3) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK8(X3))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK8(X3))))
| in(sK6(X3),X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f153,plain,
! [X3] :
( sK6(X3) = sK8(X3)
| in(sK6(X3),X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f154,plain,
! [X3] :
( sK5 = topstr_closure(sK3,sK7(X3))
| in(sK6(X3),X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f155,plain,
! [X3] :
( element(sK8(X3),the_carrier(sK4))
| in(sK6(X3),X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f156,plain,
! [X3] :
( netstr_induced_subset(sK7(X3),sK3,sK4)
| in(sK6(X3),X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f157,plain,
! [X3] :
( in(sK6(X3),the_carrier(sK4))
| in(sK6(X3),X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f158,plain,
! [X3,X6,X5] :
( ~ in(sK6(X3),the_carrier(sK4))
| ~ netstr_induced_subset(X5,sK3,sK4)
| ~ element(X6,the_carrier(sK4))
| sK5 != topstr_closure(sK3,X5)
| sK6(X3) != X6
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,X6)),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,X6))) != X5
| ~ in(sK6(X3),X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f168,plain,
! [X2,X0,X1,X4] :
( sK13(X0,X1,X2,X4) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,sK14(X0,X1,X2,X4))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,sK14(X0,X1,X2,X4))))
| ~ in(X4,sK11(X0,X1,X2))
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f169,plain,
! [X2,X0,X1,X4] :
( sK14(X0,X1,X2,X4) = X4
| ~ in(X4,sK11(X0,X1,X2))
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f170,plain,
! [X2,X0,X1,X4] :
( topstr_closure(X1,sK13(X0,X1,X2,X4)) = X2
| ~ in(X4,sK11(X0,X1,X2))
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f171,plain,
! [X2,X0,X1,X4] :
( element(sK14(X0,X1,X2,X4),the_carrier(X0))
| ~ in(X4,sK11(X0,X1,X2))
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f172,plain,
! [X2,X0,X1,X4] :
( netstr_induced_subset(sK13(X0,X1,X2,X4),X1,X0)
| ~ in(X4,sK11(X0,X1,X2))
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f173,plain,
! [X2,X0,X1,X4] :
( sK12(X0,X1,X2,X4) = X4
| ~ in(X4,sK11(X0,X1,X2))
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f174,plain,
! [X2,X0,X1,X4] :
( in(sK12(X0,X1,X2,X4),the_carrier(X0))
| ~ in(X4,sK11(X0,X1,X2))
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f175,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( in(X4,sK11(X0,X1,X2))
| ~ in(X5,the_carrier(X0))
| X4 != X5
| ~ netstr_induced_subset(X6,X1,X0)
| ~ element(X7,the_carrier(X0))
| topstr_closure(X1,X6) != X2
| X4 != 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
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f187,plain,
! [X2,X0,X1] :
( sK19(X0,X1,X2) = sK21(X0,X1,X2)
| sP2(X1,X0,X2)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f189,plain,
! [X2,X0,X1] :
( sK19(X0,X1,X2) = sK20(X0,X1,X2)
| sP2(X1,X0,X2)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f190,plain,
! [X2,X0,X1] :
( sK20(X0,X1,X2) != sK21(X0,X1,X2)
| sP2(X1,X0,X2)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f209,plain,
! [X3,X5] :
( ~ in(sK6(X3),the_carrier(sK4))
| ~ netstr_induced_subset(X5,sK3,sK4)
| ~ element(sK6(X3),the_carrier(sK4))
| sK5 != topstr_closure(sK3,X5)
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK6(X3))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK6(X3)))) != X5
| ~ in(sK6(X3),X3) ),
inference(equality_resolution,[],[f158]) ).
fof(f210,plain,
! [X3] :
( sK5 != topstr_closure(sK3,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK6(X3))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK6(X3)))))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK3,sK4,sK6(X3))),the_carrier(sK3),the_mapping(sK3,subnetstr_of_element(sK3,sK4,sK6(X3)))),sK3,sK4)
| ~ element(sK6(X3),the_carrier(sK4))
| ~ in(sK6(X3),the_carrier(sK4))
| ~ in(sK6(X3),X3) ),
inference(equality_resolution,[],[f209]) ).
fof(f211,plain,
! [X2,X0,X1,X6,X7,X5] :
( in(X5,sK11(X0,X1,X2))
| ~ in(X5,the_carrier(X0))
| ~ netstr_induced_subset(X6,X1,X0)
| ~ element(X7,the_carrier(X0))
| topstr_closure(X1,X6) != X2
| X5 != 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
| ~ sP2(X0,X1,X2) ),
inference(equality_resolution,[],[f175]) ).
fof(f212,plain,
! [X0,X1,X6,X7,X5] :
( in(X5,sK11(X0,X1,topstr_closure(X1,X6)))
| ~ in(X5,the_carrier(X0))
| ~ netstr_induced_subset(X6,X1,X0)
| ~ element(X7,the_carrier(X0))
| X5 != 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
| ~ sP2(X0,X1,topstr_closure(X1,X6)) ),
inference(equality_resolution,[],[f211]) ).
fof(f213,plain,
! [X0,X1,X6,X7] :
( in(X7,sK11(X0,X1,topstr_closure(X1,X6)))
| ~ in(X7,the_carrier(X0))
| ~ netstr_induced_subset(X6,X1,X0)
| ~ element(X7,the_carrier(X0))
| 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
| ~ sP2(X0,X1,topstr_closure(X1,X6)) ),
inference(equality_resolution,[],[f212]) ).
fof(f214,plain,
! [X0,X1,X7] :
( in(X7,sK11(X0,X1,topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))))))
| ~ in(X7,the_carrier(X0))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))),X1,X0)
| ~ element(X7,the_carrier(X0))
| ~ sP2(X0,X1,topstr_closure(X1,relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X0,X7)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X0,X7))))) ),
inference(equality_resolution,[],[f213]) ).
fof(f215,plain,
! [X0] :
( in(sK8(X0),the_carrier(sK4))
| in(sK8(X0),X0)
| in(sK6(X0),X0) ),
inference(superposition,[],[f157,f153]) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( element(X0,the_carrier(X1))
| ~ in(X0,sK11(X1,X2,X3))
| ~ sP2(X1,X2,X3)
| ~ in(X0,sK11(X1,X2,X3))
| ~ sP2(X1,X2,X3) ),
inference(superposition,[],[f171,f169]) ).
fof(f247,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,sK11(X1,X2,X3))
| element(X0,the_carrier(X1))
| ~ sP2(X1,X2,X3) ),
inference(duplicate_literal_removal,[],[f246]) ).
fof(f249,plain,
! [X2,X3,X0,X1] :
( in(X0,the_carrier(X1))
| ~ in(X0,sK11(X1,X2,X3))
| ~ sP2(X1,X2,X3)
| ~ in(X0,sK11(X1,X2,X3))
| ~ sP2(X1,X2,X3) ),
inference(superposition,[],[f174,f173]) ).
fof(f250,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,sK11(X1,X2,X3))
| in(X0,the_carrier(X1))
| ~ sP2(X1,X2,X3) ),
inference(duplicate_literal_removal,[],[f249]) ).
fof(f288,plain,
! [X2,X0,X1] :
( sK19(X0,X1,X2) != sK20(X0,X1,X2)
| sP2(X1,X0,X2)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| sP2(X1,X0,X2)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(superposition,[],[f190,f187]) ).
fof(f289,plain,
! [X2,X0,X1] :
( sK19(X0,X1,X2) != sK20(X0,X1,X2)
| sP2(X1,X0,X2)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(duplicate_literal_removal,[],[f288]) ).
fof(f290,plain,
! [X2,X0,X1] :
( sP2(X1,X0,X2)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(forward_subsumption_resolution,[],[f289,f189]) ).
fof(f329,plain,
! [X2,X3,X0,X1] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,X0)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,X0))) = sK13(X1,X2,X3,X0)
| ~ in(X0,sK11(X1,X2,X3))
| ~ sP2(X1,X2,X3)
| ~ in(X0,sK11(X1,X2,X3))
| ~ sP2(X1,X2,X3) ),
inference(superposition,[],[f168,f169]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,X0)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,X0))) = sK13(X1,X2,X3,X0)
| ~ in(X0,sK11(X1,X2,X3))
| ~ sP2(X1,X2,X3) ),
inference(duplicate_literal_removal,[],[f329]) ).
fof(f340,plain,
! [X0] :
( in(sK8(X0),sK11(sK4,sK3,topstr_closure(sK3,sK7(X0))))
| ~ in(sK8(X0),the_carrier(sK4))
| ~ netstr_induced_subset(sK7(X0),sK3,sK4)
| ~ element(sK8(X0),the_carrier(sK4))
| ~ sP2(sK4,sK3,topstr_closure(sK3,sK7(X0)))
| in(sK6(X0),X0) ),
inference(superposition,[],[f214,f152]) ).
fof(f353,plain,
! [X0] :
( in(sK8(X0),sK11(sK4,sK3,topstr_closure(sK3,sK7(X0))))
| ~ in(sK8(X0),the_carrier(sK4))
| ~ element(sK8(X0),the_carrier(sK4))
| ~ sP2(sK4,sK3,topstr_closure(sK3,sK7(X0)))
| in(sK6(X0),X0) ),
inference(forward_subsumption_resolution,[],[f340,f156]) ).
fof(f358,plain,
! [X0] :
( in(sK8(X0),sK11(sK4,sK3,topstr_closure(sK3,sK7(X0))))
| ~ in(sK8(X0),the_carrier(sK4))
| ~ sP2(sK4,sK3,topstr_closure(sK3,sK7(X0)))
| in(sK6(X0),X0) ),
inference(forward_subsumption_resolution,[],[f353,f155]) ).
fof(f368,plain,
! [X0] :
( in(sK8(X0),sK11(sK4,sK3,sK5))
| ~ in(sK8(X0),the_carrier(sK4))
| ~ sP2(sK4,sK3,sK5)
| in(sK6(X0),X0)
| in(sK6(X0),X0) ),
inference(superposition,[],[f358,f154]) ).
fof(f369,plain,
! [X0] :
( in(sK8(X0),sK11(sK4,sK3,sK5))
| ~ in(sK8(X0),the_carrier(sK4))
| ~ sP2(sK4,sK3,sK5)
| in(sK6(X0),X0) ),
inference(duplicate_literal_removal,[],[f368]) ).
fof(f429,plain,
! [X0,X1] :
( sK5 != topstr_closure(sK3,sK13(sK4,sK3,X0,sK6(X1)))
| ~ netstr_induced_subset(sK13(sK4,sK3,X0,sK6(X1)),sK3,sK4)
| ~ element(sK6(X1),the_carrier(sK4))
| ~ in(sK6(X1),the_carrier(sK4))
| ~ in(sK6(X1),X1)
| ~ in(sK6(X1),sK11(sK4,sK3,X0))
| ~ sP2(sK4,sK3,X0) ),
inference(superposition,[],[f210,f333]) ).
fof(f443,plain,
! [X0,X1] :
( sK5 != topstr_closure(sK3,sK13(sK4,sK3,X0,sK6(X1)))
| ~ element(sK6(X1),the_carrier(sK4))
| ~ in(sK6(X1),the_carrier(sK4))
| ~ in(sK6(X1),X1)
| ~ in(sK6(X1),sK11(sK4,sK3,X0))
| ~ sP2(sK4,sK3,X0) ),
inference(forward_subsumption_resolution,[],[f429,f172]) ).
fof(f446,plain,
! [X0,X1] :
( sK5 != topstr_closure(sK3,sK13(sK4,sK3,X0,sK6(X1)))
| ~ in(sK6(X1),the_carrier(sK4))
| ~ in(sK6(X1),X1)
| ~ in(sK6(X1),sK11(sK4,sK3,X0))
| ~ sP2(sK4,sK3,X0) ),
inference(forward_subsumption_resolution,[],[f443,f247]) ).
fof(f448,plain,
! [X0,X1] :
( sK5 != topstr_closure(sK3,sK13(sK4,sK3,X0,sK6(X1)))
| ~ in(sK6(X1),X1)
| ~ in(sK6(X1),sK11(sK4,sK3,X0))
| ~ sP2(sK4,sK3,X0) ),
inference(forward_subsumption_resolution,[],[f446,f250]) ).
fof(f526,plain,
! [X0,X1] :
( sK5 != X0
| ~ in(sK6(X1),X1)
| ~ in(sK6(X1),sK11(sK4,sK3,X0))
| ~ sP2(sK4,sK3,X0)
| ~ in(sK6(X1),sK11(sK4,sK3,X0))
| ~ sP2(sK4,sK3,X0) ),
inference(superposition,[],[f448,f170]) ).
fof(f527,plain,
! [X0,X1] :
( sK5 != X0
| ~ in(sK6(X1),X1)
| ~ in(sK6(X1),sK11(sK4,sK3,X0))
| ~ sP2(sK4,sK3,X0) ),
inference(duplicate_literal_removal,[],[f526]) ).
fof(f531,plain,
! [X0] :
( ~ in(sK6(X0),sK11(sK4,sK3,sK5))
| ~ in(sK6(X0),X0)
| ~ sP2(sK4,sK3,sK5) ),
inference(equality_resolution,[],[f527]) ).
fof(f532,plain,
( ~ in(sK6(sK11(sK4,sK3,sK5)),sK11(sK4,sK3,sK5))
| ~ sP2(sK4,sK3,sK5) ),
inference(factoring,[],[f531]) ).
fof(f558,plain,
( ~ in(sK8(sK11(sK4,sK3,sK5)),sK11(sK4,sK3,sK5))
| ~ sP2(sK4,sK3,sK5)
| in(sK6(sK11(sK4,sK3,sK5)),sK11(sK4,sK3,sK5)) ),
inference(superposition,[],[f532,f153]) ).
fof(f559,plain,
( ~ in(sK8(sK11(sK4,sK3,sK5)),sK11(sK4,sK3,sK5))
| ~ sP2(sK4,sK3,sK5) ),
inference(forward_subsumption_resolution,[],[f558,f532]) ).
fof(f583,plain,
( ~ sP2(sK4,sK3,sK5)
| ~ in(sK8(sK11(sK4,sK3,sK5)),the_carrier(sK4))
| ~ sP2(sK4,sK3,sK5)
| in(sK6(sK11(sK4,sK3,sK5)),sK11(sK4,sK3,sK5)) ),
inference(resolution,[],[f559,f369]) ).
fof(f584,plain,
( ~ sP2(sK4,sK3,sK5)
| ~ in(sK8(sK11(sK4,sK3,sK5)),the_carrier(sK4))
| in(sK6(sK11(sK4,sK3,sK5)),sK11(sK4,sK3,sK5)) ),
inference(duplicate_literal_removal,[],[f583]) ).
fof(f585,plain,
( ~ in(sK8(sK11(sK4,sK3,sK5)),the_carrier(sK4))
| ~ sP2(sK4,sK3,sK5) ),
inference(forward_subsumption_resolution,[],[f584,f532]) ).
fof(f586,plain,
( ~ sP2(sK4,sK3,sK5)
| in(sK8(sK11(sK4,sK3,sK5)),sK11(sK4,sK3,sK5))
| in(sK6(sK11(sK4,sK3,sK5)),sK11(sK4,sK3,sK5)) ),
inference(resolution,[],[f585,f215]) ).
fof(f587,plain,
( ~ sP2(sK4,sK3,sK5)
| in(sK6(sK11(sK4,sK3,sK5)),sK11(sK4,sK3,sK5)) ),
inference(forward_subsumption_resolution,[],[f586,f559]) ).
fof(f588,plain,
~ sP2(sK4,sK3,sK5),
inference(forward_subsumption_resolution,[],[f587,f532]) ).
fof(f591,plain,
( empty_carrier(sK3)
| ~ topological_space(sK3)
| ~ top_str(sK3)
| empty_carrier(sK4)
| ~ transitive_relstr(sK4)
| ~ directed_relstr(sK4)
| ~ net_str(sK4,sK3) ),
inference(resolution,[],[f588,f290]) ).
fof(f592,plain,
( ~ topological_space(sK3)
| ~ top_str(sK3)
| empty_carrier(sK4)
| ~ transitive_relstr(sK4)
| ~ directed_relstr(sK4)
| ~ net_str(sK4,sK3) ),
inference(forward_subsumption_resolution,[],[f591,f151]) ).
fof(f593,plain,
( ~ top_str(sK3)
| empty_carrier(sK4)
| ~ transitive_relstr(sK4)
| ~ directed_relstr(sK4)
| ~ net_str(sK4,sK3) ),
inference(forward_subsumption_resolution,[],[f592,f150]) ).
fof(f594,plain,
( empty_carrier(sK4)
| ~ transitive_relstr(sK4)
| ~ directed_relstr(sK4)
| ~ net_str(sK4,sK3) ),
inference(forward_subsumption_resolution,[],[f593,f149]) ).
fof(f595,plain,
( ~ transitive_relstr(sK4)
| ~ directed_relstr(sK4)
| ~ net_str(sK4,sK3) ),
inference(forward_subsumption_resolution,[],[f594,f148]) ).
fof(f596,plain,
( ~ directed_relstr(sK4)
| ~ net_str(sK4,sK3) ),
inference(forward_subsumption_resolution,[],[f595,f147]) ).
fof(f597,plain,
~ net_str(sK4,sK3),
inference(forward_subsumption_resolution,[],[f596,f146]) ).
fof(f598,plain,
$false,
inference(forward_subsumption_resolution,[],[f597,f145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU399+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n001.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Mon Sep 28 05:13:32 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.11/1.34 % (36807)Detected formulas, will run a generic FOF schedule.
% 3.11/1.34 % (36814)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=2324520118:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.11/1.34 % (36812)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=271812843:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.11/1.34 % (36813)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=3918317681:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.11/1.34 % (36817)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4181720518:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.11/1.34 % (36816)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1692537460:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.11/1.34 % (36818)dis-21_1_sil=8000:lcm=predicate:random_seed=3787774073: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)
% 3.11/1.34 % (36815)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2156194572:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.11/1.34 % (36816)First to succeed.
% 3.11/1.34 % (36816)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-36807"
% 3.11/1.34 % (36815)Refutation not found, incomplete strategy
% 3.11/1.34 % (36815)------------------------------
% 3.11/1.34 % (36815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.11/1.34 % (36815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/1.34 % (36815)CaDiCaL version: 2.1.3
% 3.11/1.34 % (36815)Termination reason: Refutation not found, incomplete strategy
% 3.11/1.34 % (36815)Time elapsed: 0.032 s
% 3.11/1.34 % (36815)Peak memory usage: 89 MB
% 3.11/1.34 % (36815)Instructions burned: 57 (million)
% 3.11/1.34 % (36818)Instruction limit reached!
% 3.11/1.34 % (36818)------------------------------
% 3.11/1.34 % (36818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.11/1.34 % (36818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/1.34 % (36818)CaDiCaL version: 2.1.3
% 3.11/1.34 % (36818)Termination reason: Instruction limit
% 3.11/1.34 % (36818)Termination phase: Saturation
% 3.11/1.34 % (36818)Time elapsed: 0.077 s
% 3.11/1.34 % (36818)Peak memory usage: 90 MB
% 3.11/1.34 % (36818)Instructions burned: 129 (million)
% 3.11/1.34 % (36817)Instruction limit reached!
% 3.11/1.34 % (36817)------------------------------
% 3.11/1.34 % (36817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.11/1.34 % (36817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/1.34 % (36817)CaDiCaL version: 2.1.3
% 3.11/1.34 % (36817)Termination reason: Instruction limit
% 3.11/1.34 % (36817)Termination phase: Saturation
% 3.11/1.34 % (36817)Time elapsed: 0.096 s
% 3.11/1.34 % (36817)Peak memory usage: 90 MB
% 3.11/1.34 % (36817)Instructions burned: 141 (million)
% 3.11/1.34 % (36826)lrs+10_1_sil=8000:sp=occurrence:random_seed=1324371079:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.11/1.34 % (36827)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2698198469:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.11/1.34 % (36815)------------------------------
% 3.11/1.34 % (36815)------------------------------
% 3.11/1.34 % (36816)Refutation found. Thanks to Tanya!
% 3.11/1.34 % SZS status Theorem for theBenchmark
% 3.11/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 3.75/1.43 % (36816)------------------------------
% 3.75/1.43 % (36816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.43 % (36816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.43 % (36816)CaDiCaL version: 2.1.3
% 3.75/1.43 % (36816)Termination reason: Refutation
% 3.75/1.43 % (36816)Time elapsed: 0.022 s
% 3.75/1.43 % (36816)Peak memory usage: 88 MB
% 3.75/1.43 % (36816)Instructions burned: 31 (million)
% 3.75/1.43 % (36816)------------------------------
% 3.75/1.43 % (36816)------------------------------
% 3.75/1.43 % (36807)Success in time 0.456 s
% 3.75/1.43 % Vampire exiting
%------------------------------------------------------------------------------