%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU400+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 166.13s 38.42s
% Output : Refutation 266.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 105
% Syntax : Number of formulae : 893 ( 123 unt; 103 def)
% Number of atoms : 7298 ( 741 equ)
% Maximal formula atoms : 48 ( 8 avg)
% Number of connectives : 10742 (4337 ~;5789 |; 478 &)
% ( 128 <=>; 8 =>; 0 <=; 2 <~>)
% Maximal formula depth : 35 ( 10 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 114 ( 112 usr; 96 prp; 0-4 aty)
% Number of functors : 43 ( 43 usr; 4 con; 0-5 aty)
% Number of variables : 1997 ( 0 sgn1763 !; 234 ?)
% 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,cartesian_product2(X2,X3))
& ? [X6,X7] :
( ordered_pair(X6,X7) = X5
& in(X6,X2)
& ? [X8] :
( X7 = X8
& ! [X9] :
( in(X9,X8)
<=> ( in(X9,the_carrier(X1))
& ? [X10] :
( netstr_induced_subset(X10,X0,X1)
& ? [X11] :
( element(X11,the_carrier(X1))
& X6 = topstr_closure(X0,X10)
& X9 = X11
& X10 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e6_39_3__yellow19__2) ).
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,cartesian_product2(X2,X3))
& ? [X6,X7] :
( ordered_pair(X6,X7) = X5
& in(X6,X2)
& ? [X8] :
( X7 = X8
& ! [X9] :
( in(X9,X8)
<=> ( in(X9,the_carrier(X1))
& ? [X10] :
( netstr_induced_subset(X10,X0,X1)
& ? [X11] :
( element(X11,the_carrier(X1))
& X6 = topstr_closure(X0,X10)
& X9 = X11
& X10 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f71,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,X8] :
( ordered_pair(X7,X8) = X5
& in(X7,X2)
& ? [X9] :
( X8 = X9
& ! [X10] :
( in(X10,X9)
<=> ( in(X10,the_carrier(X1))
& ? [X11] :
( netstr_induced_subset(X11,X0,X1)
& ? [X12] :
( element(X12,the_carrier(X1))
& X7 = topstr_closure(X0,X11)
& X10 = 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))) ) ) ) ) ) )
& X4 = X6
& ? [X13,X14] :
( ordered_pair(X13,X14) = X6
& in(X13,X2)
& ? [X15] :
( X14 = X15
& ! [X16] :
( in(X16,X15)
<=> ( in(X16,the_carrier(X1))
& ? [X17] :
( netstr_induced_subset(X17,X0,X1)
& ? [X18] :
( element(X18,the_carrier(X1))
& X13 = topstr_closure(X0,X17)
& X16 = X18
& X17 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X18)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X18))) ) ) ) ) ) ) )
=> X5 = X6 )
=> ? [X4] :
! [X5] :
( in(X5,X4)
<=> ? [X6] :
( in(X6,cartesian_product2(X2,X3))
& X6 = X5
& ? [X19,X20] :
( ordered_pair(X19,X20) = X5
& in(X19,X2)
& ? [X21] :
( X20 = X21
& ! [X22] :
( in(X22,X21)
<=> ( in(X22,the_carrier(X1))
& ? [X23] :
( netstr_induced_subset(X23,X0,X1)
& ? [X24] :
( element(X24,the_carrier(X1))
& X19 = topstr_closure(X0,X23)
& X22 = X24
& X23 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X24)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X24))) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e6_39_3__yellow19__3) ).
fof(f72,plain,
! [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,X8] :
( ordered_pair(X7,X8) = X5
& in(X7,X2)
& ? [X9] :
( X8 = X9
& ! [X10] :
( in(X10,X9)
<=> ( in(X10,the_carrier(X1))
& ? [X11] :
( netstr_induced_subset(X11,X0,X1)
& ? [X12] :
( element(X12,the_carrier(X1))
& X7 = topstr_closure(X0,X11)
& X10 = 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))) ) ) ) ) ) )
& X4 = X6
& ? [X13,X14] :
( ordered_pair(X13,X14) = X6
& in(X13,X2)
& ? [X15] :
( X14 = X15
& ! [X16] :
( in(X16,X15)
<=> ( in(X16,the_carrier(X1))
& ? [X17] :
( netstr_induced_subset(X17,X0,X1)
& ? [X18] :
( element(X18,the_carrier(X1))
& X13 = topstr_closure(X0,X17)
& X16 = X18
& X17 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X18)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X18))) ) ) ) ) ) ) )
=> X5 = X6 )
=> ? [X19] :
! [X20] :
( in(X20,X19)
<=> ? [X21] :
( in(X21,cartesian_product2(X2,X3))
& X20 = X21
& ? [X22,X23] :
( ordered_pair(X22,X23) = X20
& in(X22,X2)
& ? [X24] :
( X23 = X24
& ! [X25] :
( in(X25,X24)
<=> ( in(X25,the_carrier(X1))
& ? [X26] :
( netstr_induced_subset(X26,X0,X1)
& ? [X27] :
( element(X27,the_carrier(X1))
& topstr_closure(X0,X26) = X22
& X25 = X27
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X27)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X27))) = X26 ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f71]) ).
fof(f88,plain,
? [X0,X1,X2] :
( ? [X3] :
! [X4] :
? [X5] :
( in(X5,X4)
<~> ( in(X5,cartesian_product2(X2,X3))
& ? [X6,X7] :
( ordered_pair(X6,X7) = X5
& in(X6,X2)
& ? [X8] :
( X7 = X8
& ! [X9] :
( in(X9,X8)
<=> ( in(X9,the_carrier(X1))
& ? [X10] :
( netstr_induced_subset(X10,X0,X1)
& ? [X11] :
( element(X11,the_carrier(X1))
& X6 = topstr_closure(X0,X10)
& X9 = X11
& X10 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) ) ) ) ) ) ) ) )
& ~ 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,[],[f2]) ).
fof(f89,plain,
? [X0,X1,X2] :
( ? [X3] :
! [X4] :
? [X5] :
( in(X5,X4)
<~> ( in(X5,cartesian_product2(X2,X3))
& ? [X6,X7] :
( ordered_pair(X6,X7) = X5
& in(X6,X2)
& ? [X8] :
( X7 = X8
& ! [X9] :
( in(X9,X8)
<=> ( in(X9,the_carrier(X1))
& ? [X10] :
( netstr_induced_subset(X10,X0,X1)
& ? [X11] :
( element(X11,the_carrier(X1))
& X6 = topstr_closure(X0,X10)
& X9 = X11
& X10 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) ) ) ) ) ) ) ) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) ),
inference(flattening,[],[f88]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ! [X3] :
( ? [X19] :
! [X20] :
( in(X20,X19)
<=> ? [X21] :
( in(X21,cartesian_product2(X2,X3))
& X20 = X21
& ? [X22,X23] :
( ordered_pair(X22,X23) = X20
& in(X22,X2)
& ? [X24] :
( X23 = X24
& ! [X25] :
( in(X25,X24)
<=> ( in(X25,the_carrier(X1))
& ? [X26] :
( netstr_induced_subset(X26,X0,X1)
& ? [X27] :
( element(X27,the_carrier(X1))
& topstr_closure(X0,X26) = X22
& X25 = X27
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X27)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X27))) = X26 ) ) ) ) ) ) ) )
| ? [X4,X5,X6] :
( X5 != X6
& X4 = X5
& ? [X7,X8] :
( ordered_pair(X7,X8) = X5
& in(X7,X2)
& ? [X9] :
( X8 = X9
& ! [X10] :
( in(X10,X9)
<=> ( in(X10,the_carrier(X1))
& ? [X11] :
( netstr_induced_subset(X11,X0,X1)
& ? [X12] :
( element(X12,the_carrier(X1))
& X7 = topstr_closure(X0,X11)
& X10 = 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))) ) ) ) ) ) )
& X4 = X6
& ? [X13,X14] :
( ordered_pair(X13,X14) = X6
& in(X13,X2)
& ? [X15] :
( X14 = X15
& ! [X16] :
( in(X16,X15)
<=> ( in(X16,the_carrier(X1))
& ? [X17] :
( netstr_induced_subset(X17,X0,X1)
& ? [X18] :
( element(X18,the_carrier(X1))
& X13 = topstr_closure(X0,X17)
& X16 = X18
& X17 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X18)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X18))) ) ) ) ) ) ) ) )
| 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(f176,plain,
! [X0,X1,X2] :
( ! [X3] :
( ? [X19] :
! [X20] :
( in(X20,X19)
<=> ? [X21] :
( in(X21,cartesian_product2(X2,X3))
& X20 = X21
& ? [X22,X23] :
( ordered_pair(X22,X23) = X20
& in(X22,X2)
& ? [X24] :
( X23 = X24
& ! [X25] :
( in(X25,X24)
<=> ( in(X25,the_carrier(X1))
& ? [X26] :
( netstr_induced_subset(X26,X0,X1)
& ? [X27] :
( element(X27,the_carrier(X1))
& topstr_closure(X0,X26) = X22
& X25 = X27
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X27)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X27))) = X26 ) ) ) ) ) ) ) )
| ? [X4,X5,X6] :
( X5 != X6
& X4 = X5
& ? [X7,X8] :
( ordered_pair(X7,X8) = X5
& in(X7,X2)
& ? [X9] :
( X8 = X9
& ! [X10] :
( in(X10,X9)
<=> ( in(X10,the_carrier(X1))
& ? [X11] :
( netstr_induced_subset(X11,X0,X1)
& ? [X12] :
( element(X12,the_carrier(X1))
& X7 = topstr_closure(X0,X11)
& X10 = 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))) ) ) ) ) ) )
& X4 = X6
& ? [X13,X14] :
( ordered_pair(X13,X14) = X6
& in(X13,X2)
& ? [X15] :
( X14 = X15
& ! [X16] :
( in(X16,X15)
<=> ( in(X16,the_carrier(X1))
& ? [X17] :
( netstr_induced_subset(X17,X0,X1)
& ? [X18] :
( element(X18,the_carrier(X1))
& X13 = topstr_closure(X0,X17)
& X16 = X18
& X17 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X18)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X18))) ) ) ) ) ) ) ) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(flattening,[],[f175]) ).
fof(f177,definition,
! [X2,X1,X0] :
( ? [X4,X5,X6] :
( X5 != X6
& X4 = X5
& ? [X7,X8] :
( ordered_pair(X7,X8) = X5
& in(X7,X2)
& ? [X9] :
( X8 = X9
& ! [X10] :
( in(X10,X9)
<=> ( in(X10,the_carrier(X1))
& ? [X11] :
( netstr_induced_subset(X11,X0,X1)
& ? [X12] :
( element(X12,the_carrier(X1))
& X7 = topstr_closure(X0,X11)
& X10 = 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))) ) ) ) ) ) )
& X4 = X6
& ? [X13,X14] :
( ordered_pair(X13,X14) = X6
& in(X13,X2)
& ? [X15] :
( X14 = X15
& ! [X16] :
( in(X16,X15)
<=> ( in(X16,the_carrier(X1))
& ? [X17] :
( netstr_induced_subset(X17,X0,X1)
& ? [X18] :
( element(X18,the_carrier(X1))
& X13 = topstr_closure(X0,X17)
& X16 = X18
& X17 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X18)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X18))) ) ) ) ) ) ) )
| ~ sP0(X2,X1,X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f178,plain,
! [X0,X1,X2] :
( ! [X3] :
( ? [X19] :
! [X20] :
( in(X20,X19)
<=> ? [X21] :
( in(X21,cartesian_product2(X2,X3))
& X20 = X21
& ? [X22,X23] :
( ordered_pair(X22,X23) = X20
& in(X22,X2)
& ? [X24] :
( X23 = X24
& ! [X25] :
( in(X25,X24)
<=> ( in(X25,the_carrier(X1))
& ? [X26] :
( netstr_induced_subset(X26,X0,X1)
& ? [X27] :
( element(X27,the_carrier(X1))
& topstr_closure(X0,X26) = X22
& X25 = X27
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X27)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X27))) = X26 ) ) ) ) ) ) ) )
| sP0(X2,X1,X0) )
| 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,[],[f176,f177]) ).
fof(f179,plain,
? [X0,X1,X2] :
( ? [X3] :
! [X4] :
? [X5] :
( ( ~ in(X5,cartesian_product2(X2,X3))
| ! [X6,X7] :
( ordered_pair(X6,X7) != X5
| ~ in(X6,X2)
| ! [X8] :
( X7 != X8
| ? [X9] :
( ( ~ in(X9,the_carrier(X1))
| ! [X10] :
( ~ netstr_induced_subset(X10,X0,X1)
| ! [X11] :
( ~ element(X11,the_carrier(X1))
| topstr_closure(X0,X10) != X6
| X9 != X11
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) != X10 ) )
| ~ in(X9,X8) )
& ( ( in(X9,the_carrier(X1))
& ? [X10] :
( netstr_induced_subset(X10,X0,X1)
& ? [X11] :
( element(X11,the_carrier(X1))
& X6 = topstr_closure(X0,X10)
& X9 = X11
& X10 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) ) ) )
| in(X9,X8) ) ) ) )
| ~ in(X5,X4) )
& ( ( in(X5,cartesian_product2(X2,X3))
& ? [X6,X7] :
( ordered_pair(X6,X7) = X5
& in(X6,X2)
& ? [X8] :
( X7 = X8
& ! [X9] :
( ( in(X9,X8)
| ~ in(X9,the_carrier(X1))
| ! [X10] :
( ~ netstr_induced_subset(X10,X0,X1)
| ! [X11] :
( ~ element(X11,the_carrier(X1))
| topstr_closure(X0,X10) != X6
| X9 != X11
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) != X10 ) ) )
& ( ( in(X9,the_carrier(X1))
& ? [X10] :
( netstr_induced_subset(X10,X0,X1)
& ? [X11] :
( element(X11,the_carrier(X1))
& X6 = topstr_closure(X0,X10)
& X9 = X11
& X10 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) ) ) )
| ~ in(X9,X8) ) ) ) ) )
| 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,[],[f89]) ).
fof(f180,plain,
? [X0,X1,X2] :
( ? [X3] :
! [X4] :
? [X5] :
( ( ~ in(X5,cartesian_product2(X2,X3))
| ! [X6,X7] :
( ordered_pair(X6,X7) != X5
| ~ in(X6,X2)
| ! [X8] :
( X7 != X8
| ? [X9] :
( ( ~ in(X9,the_carrier(X1))
| ! [X10] :
( ~ netstr_induced_subset(X10,X0,X1)
| ! [X11] :
( ~ element(X11,the_carrier(X1))
| topstr_closure(X0,X10) != X6
| X9 != X11
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) != X10 ) )
| ~ in(X9,X8) )
& ( ( in(X9,the_carrier(X1))
& ? [X10] :
( netstr_induced_subset(X10,X0,X1)
& ? [X11] :
( element(X11,the_carrier(X1))
& X6 = topstr_closure(X0,X10)
& X9 = X11
& X10 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) ) ) )
| in(X9,X8) ) ) ) )
| ~ in(X5,X4) )
& ( ( in(X5,cartesian_product2(X2,X3))
& ? [X6,X7] :
( ordered_pair(X6,X7) = X5
& in(X6,X2)
& ? [X8] :
( X7 = X8
& ! [X9] :
( ( in(X9,X8)
| ~ in(X9,the_carrier(X1))
| ! [X10] :
( ~ netstr_induced_subset(X10,X0,X1)
| ! [X11] :
( ~ element(X11,the_carrier(X1))
| topstr_closure(X0,X10) != X6
| X9 != X11
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) != X10 ) ) )
& ( ( in(X9,the_carrier(X1))
& ? [X10] :
( netstr_induced_subset(X10,X0,X1)
& ? [X11] :
( element(X11,the_carrier(X1))
& X6 = topstr_closure(X0,X10)
& X9 = X11
& X10 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) ) ) )
| ~ in(X9,X8) ) ) ) ) )
| 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,[],[f179]) ).
fof(f181,plain,
? [X0,X1,X2] :
( ? [X3] :
! [X4] :
? [X5] :
( ( ~ in(X5,cartesian_product2(X2,X3))
| ! [X6,X7] :
( ordered_pair(X6,X7) != X5
| ~ in(X6,X2)
| ! [X8] :
( X7 != X8
| ? [X9] :
( ( ~ in(X9,the_carrier(X1))
| ! [X10] :
( ~ netstr_induced_subset(X10,X0,X1)
| ! [X11] :
( ~ element(X11,the_carrier(X1))
| topstr_closure(X0,X10) != X6
| X9 != X11
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X11)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X11))) != X10 ) )
| ~ in(X9,X8) )
& ( ( in(X9,the_carrier(X1))
& ? [X12] :
( netstr_induced_subset(X12,X0,X1)
& ? [X13] :
( element(X13,the_carrier(X1))
& topstr_closure(X0,X12) = X6
& X9 = X13
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X13)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X13))) = X12 ) ) )
| in(X9,X8) ) ) ) )
| ~ in(X5,X4) )
& ( ( in(X5,cartesian_product2(X2,X3))
& ? [X14,X15] :
( ordered_pair(X14,X15) = X5
& in(X14,X2)
& ? [X16] :
( X15 = X16
& ! [X17] :
( ( in(X17,X16)
| ~ in(X17,the_carrier(X1))
| ! [X18] :
( ~ netstr_induced_subset(X18,X0,X1)
| ! [X19] :
( ~ element(X19,the_carrier(X1))
| topstr_closure(X0,X18) != X14
| X17 != X19
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X19)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X19))) != X18 ) ) )
& ( ( in(X17,the_carrier(X1))
& ? [X20] :
( netstr_induced_subset(X20,X0,X1)
& ? [X21] :
( element(X21,the_carrier(X1))
& topstr_closure(X0,X20) = X14
& X17 = X21
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X21)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X21))) = X20 ) ) )
| ~ in(X17,X16) ) ) ) ) )
| 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(rectify,[],[f180]) ).
fof(f182,plain,
( ! [X4] :
( ( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| ! [X6,X7] :
( ordered_pair(X6,X7) != sK5(X4)
| ~ in(X6,sK3)
| ! [X8] :
( X7 != X8
| ( ( ~ in(sK6(X6,X8),the_carrier(sK2))
| ! [X10] :
( ~ netstr_induced_subset(X10,sK1,sK2)
| ! [X11] :
( ~ element(X11,the_carrier(sK2))
| topstr_closure(sK1,X10) != X6
| sK6(X6,X8) != X11
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X11)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X11))) != X10 ) )
| ~ in(sK6(X6,X8),X8) )
& ( ( in(sK6(X6,X8),the_carrier(sK2))
& netstr_induced_subset(sK7(X6,X8),sK1,sK2)
& element(sK8(X6,X8),the_carrier(sK2))
& topstr_closure(sK1,sK7(X6,X8)) = X6
& sK6(X6,X8) = sK8(X6,X8)
& sK7(X6,X8) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK8(X6,X8))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK8(X6,X8)))) )
| in(sK6(X6,X8),X8) ) ) ) )
| ~ in(sK5(X4),X4) )
& ( ( in(sK5(X4),cartesian_product2(sK3,sK4))
& sK5(X4) = ordered_pair(sK9(X4),sK10(X4))
& in(sK9(X4),sK3)
& sK10(X4) = sK11(X4)
& ! [X17] :
( ( in(X17,sK11(X4))
| ~ in(X17,the_carrier(sK2))
| ! [X18] :
( ~ netstr_induced_subset(X18,sK1,sK2)
| ! [X19] :
( ~ element(X19,the_carrier(sK2))
| sK9(X4) != topstr_closure(sK1,X18)
| X17 != X19
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X19)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X19))) != X18 ) ) )
& ( ( in(X17,the_carrier(sK2))
& netstr_induced_subset(sK12(X4,X17),sK1,sK2)
& element(sK13(X4,X17),the_carrier(sK2))
& sK9(X4) = topstr_closure(sK1,sK12(X4,X17))
& sK13(X4,X17) = X17
& sK12(X4,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK13(X4,X17))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK13(X4,X17)))) )
| ~ in(X17,sK11(X4)) ) ) )
| in(sK5(X4),X4) ) )
& ~ empty_carrier(sK1)
& topological_space(sK1)
& top_str(sK1)
& ~ empty_carrier(sK2)
& transitive_relstr(sK2)
& directed_relstr(sK2)
& net_str(sK2,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X5,sK5(X4)),skolemize(X9,sK6(X6,X8)),skolemize(X12,sK7(X6,X8)),skolemize(X13,sK8(X6,X8)),skolemize(X14,sK9(X4)),skolemize(X15,sK10(X4)),skolemize(X16,sK11(X4)),skolemize(X20,sK12(X4,X17)),skolemize(X21,sK13(X4,X17))],[f181]) ).
fof(f204,plain,
! [X2,X1,X0] :
( ? [X4,X5,X6] :
( X5 != X6
& X4 = X5
& ? [X7,X8] :
( ordered_pair(X7,X8) = X5
& in(X7,X2)
& ? [X9] :
( X8 = X9
& ! [X10] :
( ( in(X10,X9)
| ~ in(X10,the_carrier(X1))
| ! [X11] :
( ~ netstr_induced_subset(X11,X0,X1)
| ! [X12] :
( ~ element(X12,the_carrier(X1))
| topstr_closure(X0,X11) != X7
| X10 != 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 ) ) )
& ( ( in(X10,the_carrier(X1))
& ? [X11] :
( netstr_induced_subset(X11,X0,X1)
& ? [X12] :
( element(X12,the_carrier(X1))
& X7 = topstr_closure(X0,X11)
& X10 = 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))) ) ) )
| ~ in(X10,X9) ) ) ) )
& X4 = X6
& ? [X13,X14] :
( ordered_pair(X13,X14) = X6
& in(X13,X2)
& ? [X15] :
( X14 = X15
& ! [X16] :
( ( in(X16,X15)
| ~ in(X16,the_carrier(X1))
| ! [X17] :
( ~ netstr_induced_subset(X17,X0,X1)
| ! [X18] :
( ~ element(X18,the_carrier(X1))
| topstr_closure(X0,X17) != X13
| X16 != X18
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X18)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X18))) != X17 ) ) )
& ( ( in(X16,the_carrier(X1))
& ? [X17] :
( netstr_induced_subset(X17,X0,X1)
& ? [X18] :
( element(X18,the_carrier(X1))
& X13 = topstr_closure(X0,X17)
& X16 = X18
& X17 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X18)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X18))) ) ) )
| ~ in(X16,X15) ) ) ) ) )
| ~ sP0(X2,X1,X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f205,plain,
! [X2,X1,X0] :
( ? [X4,X5,X6] :
( X5 != X6
& X4 = X5
& ? [X7,X8] :
( ordered_pair(X7,X8) = X5
& in(X7,X2)
& ? [X9] :
( X8 = X9
& ! [X10] :
( ( in(X10,X9)
| ~ in(X10,the_carrier(X1))
| ! [X11] :
( ~ netstr_induced_subset(X11,X0,X1)
| ! [X12] :
( ~ element(X12,the_carrier(X1))
| topstr_closure(X0,X11) != X7
| X10 != 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 ) ) )
& ( ( in(X10,the_carrier(X1))
& ? [X11] :
( netstr_induced_subset(X11,X0,X1)
& ? [X12] :
( element(X12,the_carrier(X1))
& X7 = topstr_closure(X0,X11)
& X10 = 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))) ) ) )
| ~ in(X10,X9) ) ) ) )
& X4 = X6
& ? [X13,X14] :
( ordered_pair(X13,X14) = X6
& in(X13,X2)
& ? [X15] :
( X14 = X15
& ! [X16] :
( ( in(X16,X15)
| ~ in(X16,the_carrier(X1))
| ! [X17] :
( ~ netstr_induced_subset(X17,X0,X1)
| ! [X18] :
( ~ element(X18,the_carrier(X1))
| topstr_closure(X0,X17) != X13
| X16 != X18
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X18)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X18))) != X17 ) ) )
& ( ( in(X16,the_carrier(X1))
& ? [X17] :
( netstr_induced_subset(X17,X0,X1)
& ? [X18] :
( element(X18,the_carrier(X1))
& X13 = topstr_closure(X0,X17)
& X16 = X18
& X17 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X18)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X18))) ) ) )
| ~ in(X16,X15) ) ) ) ) )
| ~ sP0(X2,X1,X0) ),
inference(flattening,[],[f204]) ).
fof(f206,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( X4 != X5
& X3 = X4
& ? [X6,X7] :
( ordered_pair(X6,X7) = X4
& in(X6,X0)
& ? [X8] :
( X7 = X8
& ! [X9] :
( ( in(X9,X8)
| ~ in(X9,the_carrier(X1))
| ! [X10] :
( ~ netstr_induced_subset(X10,X2,X1)
| ! [X11] :
( ~ element(X11,the_carrier(X1))
| topstr_closure(X2,X10) != X6
| X9 != X11
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,X11)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,X11))) != X10 ) ) )
& ( ( in(X9,the_carrier(X1))
& ? [X12] :
( netstr_induced_subset(X12,X2,X1)
& ? [X13] :
( element(X13,the_carrier(X1))
& topstr_closure(X2,X12) = X6
& X9 = X13
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,X13)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,X13))) = X12 ) ) )
| ~ in(X9,X8) ) ) ) )
& X3 = X5
& ? [X14,X15] :
( ordered_pair(X14,X15) = X5
& in(X14,X0)
& ? [X16] :
( X15 = X16
& ! [X17] :
( ( in(X17,X16)
| ~ in(X17,the_carrier(X1))
| ! [X18] :
( ~ netstr_induced_subset(X18,X2,X1)
| ! [X19] :
( ~ element(X19,the_carrier(X1))
| topstr_closure(X2,X18) != X14
| X17 != X19
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,X19)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,X19))) != X18 ) ) )
& ( ( in(X17,the_carrier(X1))
& ? [X20] :
( netstr_induced_subset(X20,X2,X1)
& ? [X21] :
( element(X21,the_carrier(X1))
& topstr_closure(X2,X20) = X14
& X17 = X21
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,X21)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,X21))) = X20 ) ) )
| ~ in(X17,X16) ) ) ) ) )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f205]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ( sK35(X0,X1,X2) != sK36(X0,X1,X2)
& sK34(X0,X1,X2) = sK35(X0,X1,X2)
& sK35(X0,X1,X2) = ordered_pair(sK37(X0,X1,X2),sK38(X0,X1,X2))
& in(sK37(X0,X1,X2),X0)
& sK38(X0,X1,X2) = sK39(X0,X1,X2)
& ! [X9] :
( ( in(X9,sK39(X0,X1,X2))
| ~ in(X9,the_carrier(X1))
| ! [X10] :
( ~ netstr_induced_subset(X10,X2,X1)
| ! [X11] :
( ~ element(X11,the_carrier(X1))
| topstr_closure(X2,X10) != sK37(X0,X1,X2)
| X9 != X11
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,X11)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,X11))) != X10 ) ) )
& ( ( in(X9,the_carrier(X1))
& netstr_induced_subset(sK40(X0,X1,X2,X9),X2,X1)
& element(sK41(X0,X1,X2,X9),the_carrier(X1))
& sK37(X0,X1,X2) = topstr_closure(X2,sK40(X0,X1,X2,X9))
& sK41(X0,X1,X2,X9) = X9
& sK40(X0,X1,X2,X9) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,sK41(X0,X1,X2,X9))),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,sK41(X0,X1,X2,X9)))) )
| ~ in(X9,sK39(X0,X1,X2)) ) )
& sK34(X0,X1,X2) = sK36(X0,X1,X2)
& sK36(X0,X1,X2) = ordered_pair(sK42(X0,X1,X2),sK43(X0,X1,X2))
& in(sK42(X0,X1,X2),X0)
& sK43(X0,X1,X2) = sK44(X0,X1,X2)
& ! [X17] :
( ( in(X17,sK44(X0,X1,X2))
| ~ in(X17,the_carrier(X1))
| ! [X18] :
( ~ netstr_induced_subset(X18,X2,X1)
| ! [X19] :
( ~ element(X19,the_carrier(X1))
| topstr_closure(X2,X18) != sK42(X0,X1,X2)
| X17 != X19
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,X19)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,X19))) != X18 ) ) )
& ( ( in(X17,the_carrier(X1))
& netstr_induced_subset(sK45(X0,X1,X2,X17),X2,X1)
& element(sK46(X0,X1,X2,X17),the_carrier(X1))
& sK42(X0,X1,X2) = topstr_closure(X2,sK45(X0,X1,X2,X17))
& sK46(X0,X1,X2,X17) = X17
& sK45(X0,X1,X2,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,sK46(X0,X1,X2,X17))),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,sK46(X0,X1,X2,X17)))) )
| ~ in(X17,sK44(X0,X1,X2)) ) ) )
| ~ sP0(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46]),skolemize(X3,sK34(X0,X1,X2)),skolemize(X4,sK35(X0,X1,X2)),skolemize(X5,sK36(X0,X1,X2)),skolemize(X6,sK37(X0,X1,X2)),skolemize(X7,sK38(X0,X1,X2)),skolemize(X8,sK39(X0,X1,X2)),skolemize(X12,sK40(X0,X1,X2,X9)),skolemize(X13,sK41(X0,X1,X2,X9)),skolemize(X14,sK42(X0,X1,X2)),skolemize(X15,sK43(X0,X1,X2)),skolemize(X16,sK44(X0,X1,X2)),skolemize(X20,sK45(X0,X1,X2,X17)),skolemize(X21,sK46(X0,X1,X2,X17))],[f206]) ).
fof(f208,plain,
! [X0,X1,X2] :
( ! [X3] :
( ? [X19] :
! [X20] :
( ( in(X20,X19)
| ! [X21] :
( ~ in(X21,cartesian_product2(X2,X3))
| X20 != X21
| ! [X22,X23] :
( ordered_pair(X22,X23) != X20
| ~ in(X22,X2)
| ! [X24] :
( X23 != X24
| ? [X25] :
( ( ~ in(X25,the_carrier(X1))
| ! [X26] :
( ~ netstr_induced_subset(X26,X0,X1)
| ! [X27] :
( ~ element(X27,the_carrier(X1))
| topstr_closure(X0,X26) != X22
| X25 != X27
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X27)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X27))) != X26 ) )
| ~ in(X25,X24) )
& ( ( in(X25,the_carrier(X1))
& ? [X26] :
( netstr_induced_subset(X26,X0,X1)
& ? [X27] :
( element(X27,the_carrier(X1))
& topstr_closure(X0,X26) = X22
& X25 = X27
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X27)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X27))) = X26 ) ) )
| in(X25,X24) ) ) ) ) ) )
& ( ? [X21] :
( in(X21,cartesian_product2(X2,X3))
& X20 = X21
& ? [X22,X23] :
( ordered_pair(X22,X23) = X20
& in(X22,X2)
& ? [X24] :
( X23 = X24
& ! [X25] :
( ( in(X25,X24)
| ~ in(X25,the_carrier(X1))
| ! [X26] :
( ~ netstr_induced_subset(X26,X0,X1)
| ! [X27] :
( ~ element(X27,the_carrier(X1))
| topstr_closure(X0,X26) != X22
| X25 != X27
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X27)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X27))) != X26 ) ) )
& ( ( in(X25,the_carrier(X1))
& ? [X26] :
( netstr_induced_subset(X26,X0,X1)
& ? [X27] :
( element(X27,the_carrier(X1))
& topstr_closure(X0,X26) = X22
& X25 = X27
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X27)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X27))) = X26 ) ) )
| ~ in(X25,X24) ) ) ) ) )
| ~ in(X20,X19) ) )
| sP0(X2,X1,X0) )
| 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,[],[f178]) ).
fof(f209,plain,
! [X0,X1,X2] :
( ! [X3] :
( ? [X19] :
! [X20] :
( ( in(X20,X19)
| ! [X21] :
( ~ in(X21,cartesian_product2(X2,X3))
| X20 != X21
| ! [X22,X23] :
( ordered_pair(X22,X23) != X20
| ~ in(X22,X2)
| ! [X24] :
( X23 != X24
| ? [X25] :
( ( ~ in(X25,the_carrier(X1))
| ! [X26] :
( ~ netstr_induced_subset(X26,X0,X1)
| ! [X27] :
( ~ element(X27,the_carrier(X1))
| topstr_closure(X0,X26) != X22
| X25 != X27
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X27)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X27))) != X26 ) )
| ~ in(X25,X24) )
& ( ( in(X25,the_carrier(X1))
& ? [X26] :
( netstr_induced_subset(X26,X0,X1)
& ? [X27] :
( element(X27,the_carrier(X1))
& topstr_closure(X0,X26) = X22
& X25 = X27
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X27)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X27))) = X26 ) ) )
| in(X25,X24) ) ) ) ) ) )
& ( ? [X21] :
( in(X21,cartesian_product2(X2,X3))
& X20 = X21
& ? [X22,X23] :
( ordered_pair(X22,X23) = X20
& in(X22,X2)
& ? [X24] :
( X23 = X24
& ! [X25] :
( ( in(X25,X24)
| ~ in(X25,the_carrier(X1))
| ! [X26] :
( ~ netstr_induced_subset(X26,X0,X1)
| ! [X27] :
( ~ element(X27,the_carrier(X1))
| topstr_closure(X0,X26) != X22
| X25 != X27
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X27)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X27))) != X26 ) ) )
& ( ( in(X25,the_carrier(X1))
& ? [X26] :
( netstr_induced_subset(X26,X0,X1)
& ? [X27] :
( element(X27,the_carrier(X1))
& topstr_closure(X0,X26) = X22
& X25 = X27
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X27)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X27))) = X26 ) ) )
| ~ in(X25,X24) ) ) ) ) )
| ~ in(X20,X19) ) )
| sP0(X2,X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0,X1,X2] :
( ! [X3] :
( ? [X4] :
! [X5] :
( ( in(X5,X4)
| ! [X6] :
( ~ in(X6,cartesian_product2(X2,X3))
| X5 != X6
| ! [X7,X8] :
( ordered_pair(X7,X8) != X5
| ~ in(X7,X2)
| ! [X9] :
( X8 != X9
| ? [X10] :
( ( ~ in(X10,the_carrier(X1))
| ! [X11] :
( ~ netstr_induced_subset(X11,X0,X1)
| ! [X12] :
( ~ element(X12,the_carrier(X1))
| topstr_closure(X0,X11) != X7
| X10 != 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 ) )
| ~ in(X10,X9) )
& ( ( in(X10,the_carrier(X1))
& ? [X13] :
( netstr_induced_subset(X13,X0,X1)
& ? [X14] :
( element(X14,the_carrier(X1))
& topstr_closure(X0,X13) = X7
& X10 = X14
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X14)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X14))) = X13 ) ) )
| in(X10,X9) ) ) ) ) ) )
& ( ? [X15] :
( in(X15,cartesian_product2(X2,X3))
& X5 = X15
& ? [X16,X17] :
( ordered_pair(X16,X17) = X5
& in(X16,X2)
& ? [X18] :
( X17 = X18
& ! [X19] :
( ( in(X19,X18)
| ~ in(X19,the_carrier(X1))
| ! [X20] :
( ~ netstr_induced_subset(X20,X0,X1)
| ! [X21] :
( ~ element(X21,the_carrier(X1))
| topstr_closure(X0,X20) != X16
| X19 != X21
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X21)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X21))) != X20 ) ) )
& ( ( in(X19,the_carrier(X1))
& ? [X22] :
( netstr_induced_subset(X22,X0,X1)
& ? [X23] :
( element(X23,the_carrier(X1))
& topstr_closure(X0,X22) = X16
& X19 = X23
& relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X23)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X23))) = X22 ) ) )
| ~ in(X19,X18) ) ) ) ) )
| ~ in(X5,X4) ) )
| sP0(X2,X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(rectify,[],[f209]) ).
fof(f211,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X5] :
( ( in(X5,sK47(X0,X1,X2,X3))
| ! [X6] :
( ~ in(X6,cartesian_product2(X2,X3))
| X5 != X6
| ! [X7,X8] :
( ordered_pair(X7,X8) != X5
| ~ in(X7,X2)
| ! [X9] :
( X8 != X9
| ( ( ~ in(sK48(X0,X1,X7,X9),the_carrier(X1))
| ! [X11] :
( ~ netstr_induced_subset(X11,X0,X1)
| ! [X12] :
( ~ element(X12,the_carrier(X1))
| topstr_closure(X0,X11) != X7
| sK48(X0,X1,X7,X9) != 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 ) )
| ~ in(sK48(X0,X1,X7,X9),X9) )
& ( ( in(sK48(X0,X1,X7,X9),the_carrier(X1))
& netstr_induced_subset(sK49(X0,X1,X7,X9),X0,X1)
& element(sK50(X0,X1,X7,X9),the_carrier(X1))
& topstr_closure(X0,sK49(X0,X1,X7,X9)) = X7
& sK48(X0,X1,X7,X9) = sK50(X0,X1,X7,X9)
& sK49(X0,X1,X7,X9) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,sK50(X0,X1,X7,X9))),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,sK50(X0,X1,X7,X9)))) )
| in(sK48(X0,X1,X7,X9),X9) ) ) ) ) ) )
& ( ( in(sK51(X0,X1,X2,X3,X5),cartesian_product2(X2,X3))
& sK51(X0,X1,X2,X3,X5) = X5
& ordered_pair(sK52(X0,X1,X2,X5),sK53(X0,X1,X2,X5)) = X5
& in(sK52(X0,X1,X2,X5),X2)
& sK53(X0,X1,X2,X5) = sK54(X0,X1,X2,X5)
& ! [X19] :
( ( in(X19,sK54(X0,X1,X2,X5))
| ~ in(X19,the_carrier(X1))
| ! [X20] :
( ~ netstr_induced_subset(X20,X0,X1)
| ! [X21] :
( ~ element(X21,the_carrier(X1))
| topstr_closure(X0,X20) != sK52(X0,X1,X2,X5)
| X19 != X21
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X21)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X21))) != X20 ) ) )
& ( ( in(X19,the_carrier(X1))
& netstr_induced_subset(sK55(X0,X1,X2,X5,X19),X0,X1)
& element(sK56(X0,X1,X2,X5,X19),the_carrier(X1))
& sK52(X0,X1,X2,X5) = topstr_closure(X0,sK55(X0,X1,X2,X5,X19))
& sK56(X0,X1,X2,X5,X19) = X19
& sK55(X0,X1,X2,X5,X19) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,sK56(X0,X1,X2,X5,X19))),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,sK56(X0,X1,X2,X5,X19)))) )
| ~ in(X19,sK54(X0,X1,X2,X5)) ) ) )
| ~ in(X5,sK47(X0,X1,X2,X3)) ) )
| sP0(X2,X1,X0) )
| 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,[sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54,sK55,sK56]),skolemize(X4,sK47(X0,X1,X2,X3)),skolemize(X10,sK48(X0,X1,X7,X9)),skolemize(X13,sK49(X0,X1,X7,X9)),skolemize(X14,sK50(X0,X1,X7,X9)),skolemize(X15,sK51(X0,X1,X2,X3,X5)),skolemize(X16,sK52(X0,X1,X2,X5)),skolemize(X17,sK53(X0,X1,X2,X5)),skolemize(X18,sK54(X0,X1,X2,X5)),skolemize(X22,sK55(X0,X1,X2,X5,X19)),skolemize(X23,sK56(X0,X1,X2,X5,X19))],[f210]) ).
fof(f212,plain,
net_str(sK2,sK1),
inference(cnf_transformation,[],[f182]) ).
fof(f213,plain,
directed_relstr(sK2),
inference(cnf_transformation,[],[f182]) ).
fof(f214,plain,
transitive_relstr(sK2),
inference(cnf_transformation,[],[f182]) ).
fof(f215,plain,
~ empty_carrier(sK2),
inference(cnf_transformation,[],[f182]) ).
fof(f216,plain,
top_str(sK1),
inference(cnf_transformation,[],[f182]) ).
fof(f217,plain,
topological_space(sK1),
inference(cnf_transformation,[],[f182]) ).
fof(f218,plain,
~ empty_carrier(sK1),
inference(cnf_transformation,[],[f182]) ).
fof(f219,plain,
! [X4,X17] :
( sK12(X4,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK13(X4,X17))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK13(X4,X17))))
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f220,plain,
! [X4,X17] :
( sK13(X4,X17) = X17
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f221,plain,
! [X4,X17] :
( sK9(X4) = topstr_closure(sK1,sK12(X4,X17))
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f222,plain,
! [X4,X17] :
( element(sK13(X4,X17),the_carrier(sK2))
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f223,plain,
! [X4,X17] :
( netstr_induced_subset(sK12(X4,X17),sK1,sK2)
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f224,plain,
! [X4,X17] :
( in(X17,the_carrier(sK2))
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f225,plain,
! [X18,X19,X4,X17] :
( in(X17,sK11(X4))
| ~ in(X17,the_carrier(sK2))
| ~ netstr_induced_subset(X18,sK1,sK2)
| ~ element(X19,the_carrier(sK2))
| sK9(X4) != topstr_closure(sK1,X18)
| X17 != X19
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X19)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X19))) != X18
| in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f226,plain,
! [X4] :
( sK10(X4) = sK11(X4)
| in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f227,plain,
! [X4] :
( in(sK9(X4),sK3)
| in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f228,plain,
! [X4] :
( sK5(X4) = ordered_pair(sK9(X4),sK10(X4))
| in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f229,plain,
! [X4] :
( in(sK5(X4),cartesian_product2(sK3,sK4))
| in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f230,plain,
! [X8,X6,X7,X4] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| ordered_pair(X6,X7) != sK5(X4)
| ~ in(X6,sK3)
| X7 != X8
| sK7(X6,X8) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK8(X6,X8))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK8(X6,X8))))
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f231,plain,
! [X8,X6,X7,X4] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| ordered_pair(X6,X7) != sK5(X4)
| ~ in(X6,sK3)
| X7 != X8
| sK6(X6,X8) = sK8(X6,X8)
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f232,plain,
! [X8,X6,X7,X4] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| ordered_pair(X6,X7) != sK5(X4)
| ~ in(X6,sK3)
| X7 != X8
| topstr_closure(sK1,sK7(X6,X8)) = X6
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f233,plain,
! [X8,X6,X7,X4] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| ordered_pair(X6,X7) != sK5(X4)
| ~ in(X6,sK3)
| X7 != X8
| element(sK8(X6,X8),the_carrier(sK2))
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f234,plain,
! [X8,X6,X7,X4] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| ordered_pair(X6,X7) != sK5(X4)
| ~ in(X6,sK3)
| X7 != X8
| netstr_induced_subset(sK7(X6,X8),sK1,sK2)
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f235,plain,
! [X8,X6,X7,X4] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| ordered_pair(X6,X7) != sK5(X4)
| ~ in(X6,sK3)
| X7 != X8
| in(sK6(X6,X8),the_carrier(sK2))
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f236,plain,
! [X10,X11,X8,X6,X7,X4] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| ordered_pair(X6,X7) != sK5(X4)
| ~ in(X6,sK3)
| X7 != X8
| ~ in(sK6(X6,X8),the_carrier(sK2))
| ~ netstr_induced_subset(X10,sK1,sK2)
| ~ element(X11,the_carrier(sK2))
| topstr_closure(sK1,X10) != X6
| sK6(X6,X8) != X11
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X11)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X11))) != X10
| ~ in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ),
inference(cnf_transformation,[],[f182]) ).
fof(f370,plain,
! [X2,X0,X1] :
( sK34(X0,X1,X2) = sK36(X0,X1,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f207]) ).
fof(f381,plain,
! [X2,X0,X1] :
( sK34(X0,X1,X2) = sK35(X0,X1,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f207]) ).
fof(f382,plain,
! [X2,X0,X1] :
( sK35(X0,X1,X2) != sK36(X0,X1,X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f207]) ).
fof(f383,plain,
! [X2,X3,X0,X1,X19,X5] :
( sK55(X0,X1,X2,X5,X19) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,sK56(X0,X1,X2,X5,X19))),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,sK56(X0,X1,X2,X5,X19))))
| ~ in(X19,sK54(X0,X1,X2,X5))
| ~ in(X5,sK47(X0,X1,X2,X3))
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X19,X5] :
( sK56(X0,X1,X2,X5,X19) = X19
| ~ in(X19,sK54(X0,X1,X2,X5))
| ~ in(X5,sK47(X0,X1,X2,X3))
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f385,plain,
! [X2,X3,X0,X1,X19,X5] :
( sK52(X0,X1,X2,X5) = topstr_closure(X0,sK55(X0,X1,X2,X5,X19))
| ~ in(X19,sK54(X0,X1,X2,X5))
| ~ in(X5,sK47(X0,X1,X2,X3))
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f386,plain,
! [X2,X3,X0,X1,X19,X5] :
( element(sK56(X0,X1,X2,X5,X19),the_carrier(X1))
| ~ in(X19,sK54(X0,X1,X2,X5))
| ~ in(X5,sK47(X0,X1,X2,X3))
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f387,plain,
! [X2,X3,X0,X1,X19,X5] :
( netstr_induced_subset(sK55(X0,X1,X2,X5,X19),X0,X1)
| ~ in(X19,sK54(X0,X1,X2,X5))
| ~ in(X5,sK47(X0,X1,X2,X3))
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f388,plain,
! [X2,X3,X0,X1,X19,X5] :
( in(X19,the_carrier(X1))
| ~ in(X19,sK54(X0,X1,X2,X5))
| ~ in(X5,sK47(X0,X1,X2,X3))
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f389,plain,
! [X2,X21,X3,X0,X1,X19,X5,X20] :
( in(X19,sK54(X0,X1,X2,X5))
| ~ in(X19,the_carrier(X1))
| ~ netstr_induced_subset(X20,X0,X1)
| ~ element(X21,the_carrier(X1))
| topstr_closure(X0,X20) != sK52(X0,X1,X2,X5)
| X19 != X21
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X21)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X21))) != X20
| ~ in(X5,sK47(X0,X1,X2,X3))
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f390,plain,
! [X2,X3,X0,X1,X5] :
( sK53(X0,X1,X2,X5) = sK54(X0,X1,X2,X5)
| ~ in(X5,sK47(X0,X1,X2,X3))
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f391,plain,
! [X2,X3,X0,X1,X5] :
( in(sK52(X0,X1,X2,X5),X2)
| ~ in(X5,sK47(X0,X1,X2,X3))
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f392,plain,
! [X2,X3,X0,X1,X5] :
( ordered_pair(sK52(X0,X1,X2,X5),sK53(X0,X1,X2,X5)) = X5
| ~ in(X5,sK47(X0,X1,X2,X3))
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f393,plain,
! [X2,X3,X0,X1,X5] :
( sK51(X0,X1,X2,X3,X5) = X5
| ~ in(X5,sK47(X0,X1,X2,X3))
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f394,plain,
! [X2,X3,X0,X1,X5] :
( in(sK51(X0,X1,X2,X3,X5),cartesian_product2(X2,X3))
| ~ in(X5,sK47(X0,X1,X2,X3))
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f395,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X5] :
( in(X5,sK47(X0,X1,X2,X3))
| ~ in(X6,cartesian_product2(X2,X3))
| X5 != X6
| ordered_pair(X7,X8) != X5
| ~ in(X7,X2)
| X8 != X9
| sK49(X0,X1,X7,X9) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,sK50(X0,X1,X7,X9))),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,sK50(X0,X1,X7,X9))))
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f396,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X5] :
( in(X5,sK47(X0,X1,X2,X3))
| ~ in(X6,cartesian_product2(X2,X3))
| X5 != X6
| ordered_pair(X7,X8) != X5
| ~ in(X7,X2)
| X8 != X9
| sK48(X0,X1,X7,X9) = sK50(X0,X1,X7,X9)
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f397,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X5] :
( in(X5,sK47(X0,X1,X2,X3))
| ~ in(X6,cartesian_product2(X2,X3))
| X5 != X6
| ordered_pair(X7,X8) != X5
| ~ in(X7,X2)
| X8 != X9
| topstr_closure(X0,sK49(X0,X1,X7,X9)) = X7
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X5] :
( in(X5,sK47(X0,X1,X2,X3))
| ~ in(X6,cartesian_product2(X2,X3))
| X5 != X6
| ordered_pair(X7,X8) != X5
| ~ in(X7,X2)
| X8 != X9
| element(sK50(X0,X1,X7,X9),the_carrier(X1))
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X5] :
( in(X5,sK47(X0,X1,X2,X3))
| ~ in(X6,cartesian_product2(X2,X3))
| X5 != X6
| ordered_pair(X7,X8) != X5
| ~ in(X7,X2)
| X8 != X9
| netstr_induced_subset(sK49(X0,X1,X7,X9),X0,X1)
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f400,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X5] :
( in(X5,sK47(X0,X1,X2,X3))
| ~ in(X6,cartesian_product2(X2,X3))
| X5 != X6
| ordered_pair(X7,X8) != X5
| ~ in(X7,X2)
| X8 != X9
| in(sK48(X0,X1,X7,X9),the_carrier(X1))
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f401,plain,
! [X2,X3,X0,X11,X1,X8,X6,X9,X7,X5,X12] :
( in(X5,sK47(X0,X1,X2,X3))
| ~ in(X6,cartesian_product2(X2,X3))
| X5 != X6
| ordered_pair(X7,X8) != X5
| ~ in(X7,X2)
| X8 != X9
| ~ in(sK48(X0,X1,X7,X9),the_carrier(X1))
| ~ netstr_induced_subset(X11,X0,X1)
| ~ element(X12,the_carrier(X1))
| topstr_closure(X0,X11) != X7
| sK48(X0,X1,X7,X9) != 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
| ~ in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| 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,[],[f211]) ).
fof(f402,plain,
! [X10,X11,X8,X6,X4] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| sK5(X4) != ordered_pair(X6,X8)
| ~ in(X6,sK3)
| ~ in(sK6(X6,X8),the_carrier(sK2))
| ~ netstr_induced_subset(X10,sK1,sK2)
| ~ element(X11,the_carrier(sK2))
| topstr_closure(sK1,X10) != X6
| sK6(X6,X8) != X11
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X11)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X11))) != X10
| ~ in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ),
inference(equality_resolution,[],[f236]) ).
fof(f403,plain,
! [X10,X11,X8,X4] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| sK5(X4) != ordered_pair(topstr_closure(sK1,X10),X8)
| ~ in(topstr_closure(sK1,X10),sK3)
| ~ in(sK6(topstr_closure(sK1,X10),X8),the_carrier(sK2))
| ~ netstr_induced_subset(X10,sK1,sK2)
| ~ element(X11,the_carrier(sK2))
| sK6(topstr_closure(sK1,X10),X8) != X11
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X11)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X11))) != X10
| ~ in(sK6(topstr_closure(sK1,X10),X8),X8)
| ~ in(sK5(X4),X4) ),
inference(equality_resolution,[],[f402]) ).
fof(f404,plain,
! [X10,X8,X4] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| sK5(X4) != ordered_pair(topstr_closure(sK1,X10),X8)
| ~ in(topstr_closure(sK1,X10),sK3)
| ~ in(sK6(topstr_closure(sK1,X10),X8),the_carrier(sK2))
| ~ netstr_induced_subset(X10,sK1,sK2)
| ~ element(sK6(topstr_closure(sK1,X10),X8),the_carrier(sK2))
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(topstr_closure(sK1,X10),X8))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(topstr_closure(sK1,X10),X8)))) != X10
| ~ in(sK6(topstr_closure(sK1,X10),X8),X8)
| ~ in(sK5(X4),X4) ),
inference(equality_resolution,[],[f403]) ).
fof(f405,plain,
! [X8,X6,X4] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| sK5(X4) != ordered_pair(X6,X8)
| ~ in(X6,sK3)
| in(sK6(X6,X8),the_carrier(sK2))
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ),
inference(equality_resolution,[],[f235]) ).
fof(f406,plain,
! [X8,X6,X4] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| sK5(X4) != ordered_pair(X6,X8)
| ~ in(X6,sK3)
| netstr_induced_subset(sK7(X6,X8),sK1,sK2)
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ),
inference(equality_resolution,[],[f234]) ).
fof(f407,plain,
! [X8,X6,X4] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| sK5(X4) != ordered_pair(X6,X8)
| ~ in(X6,sK3)
| element(sK8(X6,X8),the_carrier(sK2))
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ),
inference(equality_resolution,[],[f233]) ).
fof(f408,plain,
! [X8,X6,X4] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| sK5(X4) != ordered_pair(X6,X8)
| ~ in(X6,sK3)
| topstr_closure(sK1,sK7(X6,X8)) = X6
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ),
inference(equality_resolution,[],[f232]) ).
fof(f409,plain,
! [X8,X6,X4] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| sK5(X4) != ordered_pair(X6,X8)
| ~ in(X6,sK3)
| sK6(X6,X8) = sK8(X6,X8)
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ),
inference(equality_resolution,[],[f231]) ).
fof(f410,plain,
! [X8,X6,X4] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| sK5(X4) != ordered_pair(X6,X8)
| ~ in(X6,sK3)
| sK7(X6,X8) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK8(X6,X8))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK8(X6,X8))))
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ),
inference(equality_resolution,[],[f230]) ).
fof(f411,plain,
! [X18,X19,X4] :
( in(X19,sK11(X4))
| ~ in(X19,the_carrier(sK2))
| ~ netstr_induced_subset(X18,sK1,sK2)
| ~ element(X19,the_carrier(sK2))
| sK9(X4) != topstr_closure(sK1,X18)
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X19)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X19))) != X18
| in(sK5(X4),X4) ),
inference(equality_resolution,[],[f225]) ).
fof(f412,plain,
! [X19,X4] :
( in(X19,sK11(X4))
| ~ in(X19,the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X19)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X19))),sK1,sK2)
| ~ element(X19,the_carrier(sK2))
| sK9(X4) != topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X19)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X19))))
| in(sK5(X4),X4) ),
inference(equality_resolution,[],[f411]) ).
fof(f417,plain,
! [X2,X3,X0,X11,X1,X8,X6,X9,X7,X12] :
( in(X6,sK47(X0,X1,X2,X3))
| ~ in(X6,cartesian_product2(X2,X3))
| ordered_pair(X7,X8) != X6
| ~ in(X7,X2)
| X8 != X9
| ~ in(sK48(X0,X1,X7,X9),the_carrier(X1))
| ~ netstr_induced_subset(X11,X0,X1)
| ~ element(X12,the_carrier(X1))
| topstr_closure(X0,X11) != X7
| sK48(X0,X1,X7,X9) != 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
| ~ in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f401]) ).
fof(f418,plain,
! [X2,X3,X0,X11,X1,X8,X9,X7,X12] :
( in(ordered_pair(X7,X8),sK47(X0,X1,X2,X3))
| ~ in(ordered_pair(X7,X8),cartesian_product2(X2,X3))
| ~ in(X7,X2)
| X8 != X9
| ~ in(sK48(X0,X1,X7,X9),the_carrier(X1))
| ~ netstr_induced_subset(X11,X0,X1)
| ~ element(X12,the_carrier(X1))
| topstr_closure(X0,X11) != X7
| sK48(X0,X1,X7,X9) != 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
| ~ in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f417]) ).
fof(f419,plain,
! [X2,X3,X0,X11,X1,X9,X7,X12] :
( in(ordered_pair(X7,X9),sK47(X0,X1,X2,X3))
| ~ in(ordered_pair(X7,X9),cartesian_product2(X2,X3))
| ~ in(X7,X2)
| ~ in(sK48(X0,X1,X7,X9),the_carrier(X1))
| ~ netstr_induced_subset(X11,X0,X1)
| ~ element(X12,the_carrier(X1))
| topstr_closure(X0,X11) != X7
| sK48(X0,X1,X7,X9) != 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
| ~ in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f418]) ).
fof(f420,plain,
! [X2,X3,X0,X11,X1,X9,X12] :
( in(ordered_pair(topstr_closure(X0,X11),X9),sK47(X0,X1,X2,X3))
| ~ in(ordered_pair(topstr_closure(X0,X11),X9),cartesian_product2(X2,X3))
| ~ in(topstr_closure(X0,X11),X2)
| ~ in(sK48(X0,X1,topstr_closure(X0,X11),X9),the_carrier(X1))
| ~ netstr_induced_subset(X11,X0,X1)
| ~ element(X12,the_carrier(X1))
| sK48(X0,X1,topstr_closure(X0,X11),X9) != 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
| ~ in(sK48(X0,X1,topstr_closure(X0,X11),X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f419]) ).
fof(f421,plain,
! [X2,X3,X0,X11,X1,X9] :
( in(ordered_pair(topstr_closure(X0,X11),X9),sK47(X0,X1,X2,X3))
| ~ in(ordered_pair(topstr_closure(X0,X11),X9),cartesian_product2(X2,X3))
| ~ in(topstr_closure(X0,X11),X2)
| ~ in(sK48(X0,X1,topstr_closure(X0,X11),X9),the_carrier(X1))
| ~ netstr_induced_subset(X11,X0,X1)
| ~ element(sK48(X0,X1,topstr_closure(X0,X11),X9),the_carrier(X1))
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,sK48(X0,X1,topstr_closure(X0,X11),X9))),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,sK48(X0,X1,topstr_closure(X0,X11),X9)))) != X11
| ~ in(sK48(X0,X1,topstr_closure(X0,X11),X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f420]) ).
fof(f422,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7] :
( in(X6,sK47(X0,X1,X2,X3))
| ~ in(X6,cartesian_product2(X2,X3))
| ordered_pair(X7,X8) != X6
| ~ in(X7,X2)
| X8 != X9
| in(sK48(X0,X1,X7,X9),the_carrier(X1))
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f400]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X8,X9,X7] :
( in(ordered_pair(X7,X8),sK47(X0,X1,X2,X3))
| ~ in(ordered_pair(X7,X8),cartesian_product2(X2,X3))
| ~ in(X7,X2)
| X8 != X9
| in(sK48(X0,X1,X7,X9),the_carrier(X1))
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f422]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X9,X7] :
( in(ordered_pair(X7,X9),sK47(X0,X1,X2,X3))
| ~ in(ordered_pair(X7,X9),cartesian_product2(X2,X3))
| ~ in(X7,X2)
| in(sK48(X0,X1,X7,X9),the_carrier(X1))
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f423]) ).
fof(f425,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7] :
( in(X6,sK47(X0,X1,X2,X3))
| ~ in(X6,cartesian_product2(X2,X3))
| ordered_pair(X7,X8) != X6
| ~ in(X7,X2)
| X8 != X9
| netstr_induced_subset(sK49(X0,X1,X7,X9),X0,X1)
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f399]) ).
fof(f426,plain,
! [X2,X3,X0,X1,X8,X9,X7] :
( in(ordered_pair(X7,X8),sK47(X0,X1,X2,X3))
| ~ in(ordered_pair(X7,X8),cartesian_product2(X2,X3))
| ~ in(X7,X2)
| X8 != X9
| netstr_induced_subset(sK49(X0,X1,X7,X9),X0,X1)
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f425]) ).
fof(f427,plain,
! [X2,X3,X0,X1,X9,X7] :
( in(ordered_pair(X7,X9),sK47(X0,X1,X2,X3))
| ~ in(ordered_pair(X7,X9),cartesian_product2(X2,X3))
| ~ in(X7,X2)
| netstr_induced_subset(sK49(X0,X1,X7,X9),X0,X1)
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f426]) ).
fof(f428,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7] :
( in(X6,sK47(X0,X1,X2,X3))
| ~ in(X6,cartesian_product2(X2,X3))
| ordered_pair(X7,X8) != X6
| ~ in(X7,X2)
| X8 != X9
| element(sK50(X0,X1,X7,X9),the_carrier(X1))
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f398]) ).
fof(f429,plain,
! [X2,X3,X0,X1,X8,X9,X7] :
( in(ordered_pair(X7,X8),sK47(X0,X1,X2,X3))
| ~ in(ordered_pair(X7,X8),cartesian_product2(X2,X3))
| ~ in(X7,X2)
| X8 != X9
| element(sK50(X0,X1,X7,X9),the_carrier(X1))
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f428]) ).
fof(f430,plain,
! [X2,X3,X0,X1,X9,X7] :
( in(ordered_pair(X7,X9),sK47(X0,X1,X2,X3))
| ~ in(ordered_pair(X7,X9),cartesian_product2(X2,X3))
| ~ in(X7,X2)
| element(sK50(X0,X1,X7,X9),the_carrier(X1))
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f429]) ).
fof(f431,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7] :
( in(X6,sK47(X0,X1,X2,X3))
| ~ in(X6,cartesian_product2(X2,X3))
| ordered_pair(X7,X8) != X6
| ~ in(X7,X2)
| X8 != X9
| topstr_closure(X0,sK49(X0,X1,X7,X9)) = X7
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f397]) ).
fof(f432,plain,
! [X2,X3,X0,X1,X8,X9,X7] :
( in(ordered_pair(X7,X8),sK47(X0,X1,X2,X3))
| ~ in(ordered_pair(X7,X8),cartesian_product2(X2,X3))
| ~ in(X7,X2)
| X8 != X9
| topstr_closure(X0,sK49(X0,X1,X7,X9)) = X7
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f431]) ).
fof(f433,plain,
! [X2,X3,X0,X1,X9,X7] :
( in(ordered_pair(X7,X9),sK47(X0,X1,X2,X3))
| ~ in(ordered_pair(X7,X9),cartesian_product2(X2,X3))
| ~ in(X7,X2)
| topstr_closure(X0,sK49(X0,X1,X7,X9)) = X7
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f432]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7] :
( in(X6,sK47(X0,X1,X2,X3))
| ~ in(X6,cartesian_product2(X2,X3))
| ordered_pair(X7,X8) != X6
| ~ in(X7,X2)
| X8 != X9
| sK48(X0,X1,X7,X9) = sK50(X0,X1,X7,X9)
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f396]) ).
fof(f435,plain,
! [X2,X3,X0,X1,X8,X9,X7] :
( in(ordered_pair(X7,X8),sK47(X0,X1,X2,X3))
| ~ in(ordered_pair(X7,X8),cartesian_product2(X2,X3))
| ~ in(X7,X2)
| X8 != X9
| sK48(X0,X1,X7,X9) = sK50(X0,X1,X7,X9)
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f434]) ).
fof(f436,plain,
! [X2,X3,X0,X1,X9,X7] :
( in(ordered_pair(X7,X9),sK47(X0,X1,X2,X3))
| ~ in(ordered_pair(X7,X9),cartesian_product2(X2,X3))
| ~ in(X7,X2)
| sK48(X0,X1,X7,X9) = sK50(X0,X1,X7,X9)
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f435]) ).
fof(f437,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7] :
( in(X6,sK47(X0,X1,X2,X3))
| ~ in(X6,cartesian_product2(X2,X3))
| ordered_pair(X7,X8) != X6
| ~ in(X7,X2)
| X8 != X9
| sK49(X0,X1,X7,X9) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,sK50(X0,X1,X7,X9))),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,sK50(X0,X1,X7,X9))))
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f395]) ).
fof(f438,plain,
! [X2,X3,X0,X1,X8,X9,X7] :
( in(ordered_pair(X7,X8),sK47(X0,X1,X2,X3))
| ~ in(ordered_pair(X7,X8),cartesian_product2(X2,X3))
| ~ in(X7,X2)
| X8 != X9
| sK49(X0,X1,X7,X9) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,sK50(X0,X1,X7,X9))),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,sK50(X0,X1,X7,X9))))
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f437]) ).
fof(f439,plain,
! [X2,X3,X0,X1,X9,X7] :
( in(ordered_pair(X7,X9),sK47(X0,X1,X2,X3))
| ~ in(ordered_pair(X7,X9),cartesian_product2(X2,X3))
| ~ in(X7,X2)
| sK49(X0,X1,X7,X9) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,sK50(X0,X1,X7,X9))),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,sK50(X0,X1,X7,X9))))
| in(sK48(X0,X1,X7,X9),X9)
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f438]) ).
fof(f440,plain,
! [X2,X21,X3,X0,X1,X5,X20] :
( in(X21,sK54(X0,X1,X2,X5))
| ~ in(X21,the_carrier(X1))
| ~ netstr_induced_subset(X20,X0,X1)
| ~ element(X21,the_carrier(X1))
| topstr_closure(X0,X20) != sK52(X0,X1,X2,X5)
| relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X21)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X21))) != X20
| ~ in(X5,sK47(X0,X1,X2,X3))
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f389]) ).
fof(f441,plain,
! [X2,X21,X3,X0,X1,X5] :
( in(X21,sK54(X0,X1,X2,X5))
| ~ in(X21,the_carrier(X1))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X21)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X21))),X0,X1)
| ~ element(X21,the_carrier(X1))
| sK52(X0,X1,X2,X5) != topstr_closure(X0,relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X21)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X21))))
| ~ in(X5,sK47(X0,X1,X2,X3))
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(equality_resolution,[],[f440]) ).
fof(f442,plain,
! [X2,X21,X0,X1,X5] :
( in(X21,sK54(X0,X1,X2,X5))
| ~ in(X21,the_carrier(X1))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X21)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X21))),X0,X1)
| ~ element(X21,the_carrier(X1))
| sK52(X0,X1,X2,X5) != topstr_closure(X0,relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X21)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X21))))
| sP57(X0,X5,X2,X1) ),
inference(cnf_transformation,[],[f442_D]) ).
fof(f442_D,definition,
! [X1,X2,X5,X0] :
( ! [X21] :
( in(X21,sK54(X0,X1,X2,X5))
| ~ in(X21,the_carrier(X1))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X21)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X21))),X0,X1)
| ~ element(X21,the_carrier(X1))
| sK52(X0,X1,X2,X5) != topstr_closure(X0,relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,X21)),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,X21)))) )
<=> ~ sP57(X0,X5,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP57])],[general_splitting_component_introduction]) ).
fof(f443,plain,
! [X2,X3,X0,X1,X5] :
( ~ in(X5,sK47(X0,X1,X2,X3))
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| ~ sP57(X0,X5,X2,X1) ),
inference(general_splitting,[],[f441,f442_D]) ).
fof(f444,plain,
! [X2,X3,X0,X1,X5] :
( ~ in(X5,sK47(X0,X1,X2,X3))
| sP58(X0,X5,X2,X1) ),
inference(cnf_transformation,[],[f444_D]) ).
fof(f444_D,definition,
! [X1,X2,X5,X0] :
( ! [X3] : ~ in(X5,sK47(X0,X1,X2,X3))
<=> ~ sP58(X0,X5,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP58])],[general_splitting_component_introduction]) ).
fof(f445,plain,
! [X2,X0,X1,X19,X5] :
( in(X19,the_carrier(X1))
| ~ in(X19,sK54(X0,X1,X2,X5))
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| ~ sP58(X0,X5,X2,X1) ),
inference(general_splitting,[],[f388,f444_D]) ).
fof(f446,plain,
! [X2,X3,X0,X1,X5] :
( ~ in(X5,sK47(X0,X1,X2,X3))
| sP59(X0,X5,X2,X1) ),
inference(cnf_transformation,[],[f446_D]) ).
fof(f446_D,definition,
! [X1,X2,X5,X0] :
( ! [X3] : ~ in(X5,sK47(X0,X1,X2,X3))
<=> ~ sP59(X0,X5,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP59])],[general_splitting_component_introduction]) ).
fof(f447,plain,
! [X2,X0,X1,X19,X5] :
( netstr_induced_subset(sK55(X0,X1,X2,X5,X19),X0,X1)
| ~ in(X19,sK54(X0,X1,X2,X5))
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| ~ sP59(X0,X5,X2,X1) ),
inference(general_splitting,[],[f387,f446_D]) ).
fof(f448,plain,
! [X2,X3,X0,X1,X5] :
( ~ in(X5,sK47(X0,X1,X2,X3))
| sP60(X0,X5,X2,X1) ),
inference(cnf_transformation,[],[f448_D]) ).
fof(f448_D,definition,
! [X1,X2,X5,X0] :
( ! [X3] : ~ in(X5,sK47(X0,X1,X2,X3))
<=> ~ sP60(X0,X5,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP60])],[general_splitting_component_introduction]) ).
fof(f449,plain,
! [X2,X0,X1,X19,X5] :
( element(sK56(X0,X1,X2,X5,X19),the_carrier(X1))
| ~ in(X19,sK54(X0,X1,X2,X5))
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| ~ sP60(X0,X5,X2,X1) ),
inference(general_splitting,[],[f386,f448_D]) ).
fof(f450,plain,
! [X2,X3,X0,X1,X5] :
( ~ in(X5,sK47(X0,X1,X2,X3))
| sP61(X0,X5,X2,X1) ),
inference(cnf_transformation,[],[f450_D]) ).
fof(f450_D,definition,
! [X1,X2,X5,X0] :
( ! [X3] : ~ in(X5,sK47(X0,X1,X2,X3))
<=> ~ sP61(X0,X5,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP61])],[general_splitting_component_introduction]) ).
fof(f451,plain,
! [X2,X0,X1,X19,X5] :
( sK52(X0,X1,X2,X5) = topstr_closure(X0,sK55(X0,X1,X2,X5,X19))
| ~ in(X19,sK54(X0,X1,X2,X5))
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| ~ sP61(X0,X5,X2,X1) ),
inference(general_splitting,[],[f385,f450_D]) ).
fof(f452,plain,
! [X2,X3,X0,X1,X5] :
( ~ in(X5,sK47(X0,X1,X2,X3))
| sP62(X0,X5,X2,X1) ),
inference(cnf_transformation,[],[f452_D]) ).
fof(f452_D,definition,
! [X1,X2,X5,X0] :
( ! [X3] : ~ in(X5,sK47(X0,X1,X2,X3))
<=> ~ sP62(X0,X5,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP62])],[general_splitting_component_introduction]) ).
fof(f453,plain,
! [X2,X0,X1,X19,X5] :
( sK56(X0,X1,X2,X5,X19) = X19
| ~ in(X19,sK54(X0,X1,X2,X5))
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| ~ sP62(X0,X5,X2,X1) ),
inference(general_splitting,[],[f384,f452_D]) ).
fof(f454,plain,
! [X2,X3,X0,X1,X5] :
( ~ in(X5,sK47(X0,X1,X2,X3))
| sP63(X0,X5,X2,X1) ),
inference(cnf_transformation,[],[f454_D]) ).
fof(f454_D,definition,
! [X1,X2,X5,X0] :
( ! [X3] : ~ in(X5,sK47(X0,X1,X2,X3))
<=> ~ sP63(X0,X5,X2,X1) ),
introduced(definition,[new_symbols(definition,[sP63])],[general_splitting_component_introduction]) ).
fof(f455,plain,
! [X2,X0,X1,X19,X5] :
( sK55(X0,X1,X2,X5,X19) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X0,X1,sK56(X0,X1,X2,X5,X19))),the_carrier(X0),the_mapping(X0,subnetstr_of_element(X0,X1,sK56(X0,X1,X2,X5,X19))))
| ~ in(X19,sK54(X0,X1,X2,X5))
| sP0(X2,X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| ~ sP63(X0,X5,X2,X1) ),
inference(general_splitting,[],[f383,f454_D]) ).
fof(f457,definition,
( spl64_1
<=> ! [X4,X8,X10] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| sK5(X4) != ordered_pair(topstr_closure(sK1,X10),X8)
| ~ in(topstr_closure(sK1,X10),sK3)
| ~ in(sK6(topstr_closure(sK1,X10),X8),the_carrier(sK2))
| ~ netstr_induced_subset(X10,sK1,sK2)
| ~ element(sK6(topstr_closure(sK1,X10),X8),the_carrier(sK2))
| relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(topstr_closure(sK1,X10),X8))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(topstr_closure(sK1,X10),X8)))) != X10
| ~ in(sK6(topstr_closure(sK1,X10),X8),X8)
| ~ in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_1])],[avatar_definition]) ).
fof(f458,plain,
( ! [X10,X8,X4] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(topstr_closure(sK1,X10),X8))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(topstr_closure(sK1,X10),X8)))) != X10
| sK5(X4) != ordered_pair(topstr_closure(sK1,X10),X8)
| ~ in(topstr_closure(sK1,X10),sK3)
| ~ in(sK6(topstr_closure(sK1,X10),X8),the_carrier(sK2))
| ~ netstr_induced_subset(X10,sK1,sK2)
| ~ element(sK6(topstr_closure(sK1,X10),X8),the_carrier(sK2))
| ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| ~ in(sK6(topstr_closure(sK1,X10),X8),X8)
| ~ in(sK5(X4),X4) )
| ~ spl64_1 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f459,plain,
spl64_1,
inference(avatar_split_clause,[],[f404,f457]) ).
fof(f463,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK55(sK1,X0,X1,X2,X3) != relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X1,X2),X4))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X1,X2),X4))))
| sK5(X5) != ordered_pair(sK52(sK1,X0,X1,X2),X4)
| ~ in(sK52(sK1,X0,X1,X2),sK3)
| ~ in(sK6(sK52(sK1,X0,X1,X2),X4),the_carrier(sK2))
| ~ netstr_induced_subset(sK55(sK1,X0,X1,X2,X3),sK1,sK2)
| ~ element(sK6(sK52(sK1,X0,X1,X2),X4),the_carrier(sK2))
| ~ in(sK5(X5),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,X0,X1,X2),X4),X4)
| ~ in(sK5(X5),X5)
| ~ in(X3,sK54(sK1,X0,X1,X2))
| sP0(X1,X0,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK1)
| ~ sP61(sK1,X2,X1,X0) )
| ~ spl64_1 ),
inference(superposition,[],[f458,f451]) ).
fof(f465,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK55(sK1,X0,X1,X2,X3) != relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X1,X2),X4))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X1,X2),X4))))
| sK5(X5) != ordered_pair(sK52(sK1,X0,X1,X2),X4)
| ~ in(sK52(sK1,X0,X1,X2),sK3)
| ~ in(sK6(sK52(sK1,X0,X1,X2),X4),the_carrier(sK2))
| ~ netstr_induced_subset(sK55(sK1,X0,X1,X2,X3),sK1,sK2)
| ~ element(sK6(sK52(sK1,X0,X1,X2),X4),the_carrier(sK2))
| ~ in(sK5(X5),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,X0,X1,X2),X4),X4)
| ~ in(sK5(X5),X5)
| ~ in(X3,sK54(sK1,X0,X1,X2))
| sP0(X1,X0,sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK1)
| ~ sP61(sK1,X2,X1,X0) )
| ~ spl64_1 ),
inference(forward_subsumption_resolution,[],[f463,f218]) ).
fof(f467,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK55(sK1,X0,X1,X2,X3) != relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X1,X2),X4))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X1,X2),X4))))
| sK5(X5) != ordered_pair(sK52(sK1,X0,X1,X2),X4)
| ~ in(sK52(sK1,X0,X1,X2),sK3)
| ~ in(sK6(sK52(sK1,X0,X1,X2),X4),the_carrier(sK2))
| ~ netstr_induced_subset(sK55(sK1,X0,X1,X2,X3),sK1,sK2)
| ~ element(sK6(sK52(sK1,X0,X1,X2),X4),the_carrier(sK2))
| ~ in(sK5(X5),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,X0,X1,X2),X4),X4)
| ~ in(sK5(X5),X5)
| ~ in(X3,sK54(sK1,X0,X1,X2))
| sP0(X1,X0,sK1)
| ~ top_str(sK1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK1)
| ~ sP61(sK1,X2,X1,X0) )
| ~ spl64_1 ),
inference(forward_subsumption_resolution,[],[f465,f217]) ).
fof(f469,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK55(sK1,X0,X1,X2,X3) != relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X1,X2),X4))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X1,X2),X4))))
| sK5(X5) != ordered_pair(sK52(sK1,X0,X1,X2),X4)
| ~ in(sK52(sK1,X0,X1,X2),sK3)
| ~ in(sK6(sK52(sK1,X0,X1,X2),X4),the_carrier(sK2))
| ~ netstr_induced_subset(sK55(sK1,X0,X1,X2,X3),sK1,sK2)
| ~ element(sK6(sK52(sK1,X0,X1,X2),X4),the_carrier(sK2))
| ~ in(sK5(X5),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,X0,X1,X2),X4),X4)
| ~ in(sK5(X5),X5)
| ~ in(X3,sK54(sK1,X0,X1,X2))
| sP0(X1,X0,sK1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK1)
| ~ sP61(sK1,X2,X1,X0) )
| ~ spl64_1 ),
inference(forward_subsumption_resolution,[],[f467,f216]) ).
fof(f472,definition,
( spl64_2
<=> top_str(sK1) ),
introduced(definition,[new_symbols(definition,[spl64_2])],[avatar_definition]) ).
fof(f474,plain,
( top_str(sK1)
| ~ spl64_2 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f475,plain,
spl64_2,
inference(avatar_split_clause,[],[f216,f472]) ).
fof(f477,definition,
( spl64_3
<=> topological_space(sK1) ),
introduced(definition,[new_symbols(definition,[spl64_3])],[avatar_definition]) ).
fof(f479,plain,
( topological_space(sK1)
| ~ spl64_3 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f480,plain,
spl64_3,
inference(avatar_split_clause,[],[f217,f477]) ).
fof(f482,definition,
( spl64_4
<=> empty_carrier(sK2) ),
introduced(definition,[new_symbols(definition,[spl64_4])],[avatar_definition]) ).
fof(f484,plain,
( ~ empty_carrier(sK2)
| spl64_4 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f485,plain,
~ spl64_4,
inference(avatar_split_clause,[],[f215,f482]) ).
fof(f538,plain,
( ! [X2,X3,X0,X1] :
( sK56(sK1,X0,X1,X2,X3) = X3
| ~ in(X3,sK54(sK1,X0,X1,X2))
| sP0(X1,X0,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK1)
| ~ sP62(sK1,X2,X1,X0) )
| ~ spl64_2 ),
inference(resolution,[],[f474,f453]) ).
fof(f541,plain,
( ! [X2,X3,X0,X1] :
( sK56(sK1,X0,X1,X2,X3) = X3
| ~ in(X3,sK54(sK1,X0,X1,X2))
| sP0(X1,X0,sK1)
| ~ topological_space(sK1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK1)
| ~ sP62(sK1,X2,X1,X0) )
| ~ spl64_2 ),
inference(forward_subsumption_resolution,[],[f538,f218]) ).
fof(f589,plain,
( ! [X2,X3,X0,X1] :
( sK56(sK1,X0,X1,X2,X3) = X3
| ~ in(X3,sK54(sK1,X0,X1,X2))
| sP0(X1,X0,sK1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK1)
| ~ sP62(sK1,X2,X1,X0) )
| ~ spl64_2
| ~ spl64_3 ),
inference(forward_subsumption_resolution,[],[f541,f479]) ).
fof(f663,definition,
( spl64_5
<=> directed_relstr(sK2) ),
introduced(definition,[new_symbols(definition,[spl64_5])],[avatar_definition]) ).
fof(f665,plain,
( directed_relstr(sK2)
| ~ spl64_5 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f666,plain,
spl64_5,
inference(avatar_split_clause,[],[f213,f663]) ).
fof(f668,definition,
( spl64_6
<=> transitive_relstr(sK2) ),
introduced(definition,[new_symbols(definition,[spl64_6])],[avatar_definition]) ).
fof(f670,plain,
( transitive_relstr(sK2)
| ~ spl64_6 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f671,plain,
spl64_6,
inference(avatar_split_clause,[],[f214,f668]) ).
fof(f673,definition,
( spl64_7
<=> empty_carrier(sK1) ),
introduced(definition,[new_symbols(definition,[spl64_7])],[avatar_definition]) ).
fof(f675,plain,
( ~ empty_carrier(sK1)
| spl64_7 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f676,plain,
~ spl64_7,
inference(avatar_split_clause,[],[f218,f673]) ).
fof(f1043,definition,
( spl64_8
<=> ! [X6,X4,X8] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| sK5(X4) != ordered_pair(X6,X8)
| ~ in(X6,sK3)
| sK6(X6,X8) = sK8(X6,X8)
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_8])],[avatar_definition]) ).
fof(f1044,plain,
( ! [X8,X6,X4] :
( sK5(X4) != ordered_pair(X6,X8)
| ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| ~ in(X6,sK3)
| sK6(X6,X8) = sK8(X6,X8)
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) )
| ~ spl64_8 ),
inference(avatar_component_clause,[],[f1043]) ).
fof(f1045,plain,
spl64_8,
inference(avatar_split_clause,[],[f409,f1043]) ).
fof(f1050,definition,
( spl64_9
<=> net_str(sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl64_9])],[avatar_definition]) ).
fof(f1052,plain,
( net_str(sK2,sK1)
| ~ spl64_9 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1053,plain,
spl64_9,
inference(avatar_split_clause,[],[f212,f1050]) ).
fof(f1085,plain,
( ! [X2,X0,X1] :
( in(sK52(sK1,sK2,X0,X1),X0)
| ~ in(X1,sK47(sK1,sK2,X0,X2))
| sP0(X0,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2) )
| ~ spl64_9 ),
inference(resolution,[],[f1052,f391]) ).
fof(f1120,plain,
( ! [X2,X0,X1] :
( in(sK52(sK1,sK2,X0,X1),X0)
| ~ in(X1,sK47(sK1,sK2,X0,X2))
| sP0(X0,sK2,sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2) )
| spl64_7
| ~ spl64_9 ),
inference(forward_subsumption_resolution,[],[f1085,f675]) ).
fof(f1169,plain,
( ! [X2,X0,X1] :
( in(sK52(sK1,sK2,X0,X1),X0)
| ~ in(X1,sK47(sK1,sK2,X0,X2))
| sP0(X0,sK2,sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2) )
| ~ spl64_3
| spl64_7
| ~ spl64_9 ),
inference(forward_subsumption_resolution,[],[f1120,f479]) ).
fof(f1211,plain,
( ! [X2,X0,X1] :
( in(sK52(sK1,sK2,X0,X1),X0)
| ~ in(X1,sK47(sK1,sK2,X0,X2))
| sP0(X0,sK2,sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_7
| ~ spl64_9 ),
inference(forward_subsumption_resolution,[],[f1169,f474]) ).
fof(f1253,plain,
( ! [X2,X0,X1] :
( in(sK52(sK1,sK2,X0,X1),X0)
| ~ in(X1,sK47(sK1,sK2,X0,X2))
| sP0(X0,sK2,sK1)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| ~ spl64_9 ),
inference(forward_subsumption_resolution,[],[f1211,f484]) ).
fof(f1290,plain,
( ! [X2,X0,X1] :
( in(sK52(sK1,sK2,X0,X1),X0)
| ~ in(X1,sK47(sK1,sK2,X0,X2))
| sP0(X0,sK2,sK1)
| ~ directed_relstr(sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| ~ spl64_9 ),
inference(forward_subsumption_resolution,[],[f1253,f670]) ).
fof(f1324,plain,
( ! [X2,X0,X1] :
( in(sK52(sK1,sK2,X0,X1),X0)
| ~ in(X1,sK47(sK1,sK2,X0,X2))
| sP0(X0,sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9 ),
inference(forward_subsumption_resolution,[],[f1290,f665]) ).
fof(f1327,definition,
( spl64_10
<=> ! [X4] :
( in(sK5(X4),cartesian_product2(sK3,sK4))
| in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_10])],[avatar_definition]) ).
fof(f1328,plain,
( ! [X4] :
( in(sK5(X4),cartesian_product2(sK3,sK4))
| in(sK5(X4),X4) )
| ~ spl64_10 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f1329,plain,
spl64_10,
inference(avatar_split_clause,[],[f229,f1327]) ).
fof(f1340,definition,
( spl64_11
<=> ! [X6,X4,X8] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| sK5(X4) != ordered_pair(X6,X8)
| ~ in(X6,sK3)
| topstr_closure(sK1,sK7(X6,X8)) = X6
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_11])],[avatar_definition]) ).
fof(f1341,plain,
( ! [X8,X6,X4] :
( sK5(X4) != ordered_pair(X6,X8)
| ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| ~ in(X6,sK3)
| topstr_closure(sK1,sK7(X6,X8)) = X6
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) )
| ~ spl64_11 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1342,plain,
spl64_11,
inference(avatar_split_clause,[],[f408,f1340]) ).
fof(f1347,definition,
( spl64_12
<=> ! [X6,X4,X8] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| sK5(X4) != ordered_pair(X6,X8)
| ~ in(X6,sK3)
| sK7(X6,X8) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK8(X6,X8))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK8(X6,X8))))
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_12])],[avatar_definition]) ).
fof(f1348,plain,
( ! [X8,X6,X4] :
( sK5(X4) != ordered_pair(X6,X8)
| ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| ~ in(X6,sK3)
| sK7(X6,X8) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK8(X6,X8))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK8(X6,X8))))
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) )
| ~ spl64_12 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f1349,plain,
spl64_12,
inference(avatar_split_clause,[],[f410,f1347]) ).
fof(f1354,definition,
( spl64_13
<=> ! [X6,X4,X8] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| sK5(X4) != ordered_pair(X6,X8)
| ~ in(X6,sK3)
| in(sK6(X6,X8),the_carrier(sK2))
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_13])],[avatar_definition]) ).
fof(f1355,plain,
( ! [X8,X6,X4] :
( sK5(X4) != ordered_pair(X6,X8)
| ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| ~ in(X6,sK3)
| in(sK6(X6,X8),the_carrier(sK2))
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) )
| ~ spl64_13 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f1356,plain,
spl64_13,
inference(avatar_split_clause,[],[f405,f1354]) ).
fof(f1361,definition,
( spl64_14
<=> ! [X4] :
( in(sK9(X4),sK3)
| in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_14])],[avatar_definition]) ).
fof(f1362,plain,
( ! [X4] :
( in(sK9(X4),sK3)
| in(sK5(X4),X4) )
| ~ spl64_14 ),
inference(avatar_component_clause,[],[f1361]) ).
fof(f1363,plain,
spl64_14,
inference(avatar_split_clause,[],[f227,f1361]) ).
fof(f1373,definition,
( spl64_15
<=> ! [X6,X4,X8] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| sK5(X4) != ordered_pair(X6,X8)
| ~ in(X6,sK3)
| element(sK8(X6,X8),the_carrier(sK2))
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_15])],[avatar_definition]) ).
fof(f1374,plain,
( ! [X8,X6,X4] :
( sK5(X4) != ordered_pair(X6,X8)
| ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| ~ in(X6,sK3)
| element(sK8(X6,X8),the_carrier(sK2))
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) )
| ~ spl64_15 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f1375,plain,
spl64_15,
inference(avatar_split_clause,[],[f407,f1373]) ).
fof(f1380,definition,
( spl64_16
<=> ! [X4,X19] :
( in(X19,sK11(X4))
| ~ in(X19,the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X19)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X19))),sK1,sK2)
| ~ element(X19,the_carrier(sK2))
| sK9(X4) != topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X19)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X19))))
| in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_16])],[avatar_definition]) ).
fof(f1381,plain,
( ! [X19,X4] :
( sK9(X4) != topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X19)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X19))))
| ~ in(X19,the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X19)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X19))),sK1,sK2)
| ~ element(X19,the_carrier(sK2))
| in(X19,sK11(X4))
| in(sK5(X4),X4) )
| ~ spl64_16 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f1382,plain,
spl64_16,
inference(avatar_split_clause,[],[f412,f1380]) ).
fof(f1409,definition,
( spl64_17
<=> ! [X4,X17] :
( in(X17,the_carrier(sK2))
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_17])],[avatar_definition]) ).
fof(f1410,plain,
( ! [X4,X17] :
( ~ in(X17,sK11(X4))
| in(X17,the_carrier(sK2))
| in(sK5(X4),X4) )
| ~ spl64_17 ),
inference(avatar_component_clause,[],[f1409]) ).
fof(f1411,plain,
spl64_17,
inference(avatar_split_clause,[],[f224,f1409]) ).
fof(f1422,definition,
( spl64_18
<=> ! [X6,X4,X8] :
( ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| sK5(X4) != ordered_pair(X6,X8)
| ~ in(X6,sK3)
| netstr_induced_subset(sK7(X6,X8),sK1,sK2)
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_18])],[avatar_definition]) ).
fof(f1423,plain,
( ! [X8,X6,X4] :
( sK5(X4) != ordered_pair(X6,X8)
| ~ in(sK5(X4),cartesian_product2(sK3,sK4))
| ~ in(X6,sK3)
| netstr_induced_subset(sK7(X6,X8),sK1,sK2)
| in(sK6(X6,X8),X8)
| ~ in(sK5(X4),X4) )
| ~ spl64_18 ),
inference(avatar_component_clause,[],[f1422]) ).
fof(f1424,plain,
spl64_18,
inference(avatar_split_clause,[],[f406,f1422]) ).
fof(f1429,definition,
( spl64_19
<=> ! [X4,X17] :
( sK12(X4,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK13(X4,X17))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK13(X4,X17))))
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_19])],[avatar_definition]) ).
fof(f1430,plain,
( ! [X4,X17] :
( sK12(X4,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK13(X4,X17))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK13(X4,X17))))
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) )
| ~ spl64_19 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f1431,plain,
spl64_19,
inference(avatar_split_clause,[],[f219,f1429]) ).
fof(f1457,definition,
( spl64_20
<=> ! [X4] :
( sK5(X4) = ordered_pair(sK9(X4),sK10(X4))
| in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_20])],[avatar_definition]) ).
fof(f1458,plain,
( ! [X4] :
( sK5(X4) = ordered_pair(sK9(X4),sK10(X4))
| in(sK5(X4),X4) )
| ~ spl64_20 ),
inference(avatar_component_clause,[],[f1457]) ).
fof(f1459,plain,
spl64_20,
inference(avatar_split_clause,[],[f228,f1457]) ).
fof(f1463,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK5(X0),sK47(X3,X4,X1,X2))
| ~ in(sK9(X0),X1)
| netstr_induced_subset(sK49(X3,X4,sK9(X0),sK10(X0)),X3,X4)
| in(sK48(X3,X4,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X1,X4,X3)
| empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| empty_carrier(X4)
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| in(sK5(X0),X0) )
| ~ spl64_20 ),
inference(superposition,[],[f427,f1458]) ).
fof(f1465,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK5(X0),sK47(X3,X4,X1,X2))
| ~ in(sK9(X0),X1)
| element(sK50(X3,X4,sK9(X0),sK10(X0)),the_carrier(X4))
| in(sK48(X3,X4,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X1,X4,X3)
| empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| empty_carrier(X4)
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| in(sK5(X0),X0) )
| ~ spl64_20 ),
inference(superposition,[],[f430,f1458]) ).
fof(f1467,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK5(X0),sK47(X3,X4,X1,X2))
| ~ in(sK9(X0),X1)
| sK9(X0) = topstr_closure(X3,sK49(X3,X4,sK9(X0),sK10(X0)))
| in(sK48(X3,X4,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X1,X4,X3)
| empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| empty_carrier(X4)
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| in(sK5(X0),X0) )
| ~ spl64_20 ),
inference(superposition,[],[f433,f1458]) ).
fof(f1471,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK5(X0),sK47(X3,X4,X1,X2))
| ~ in(sK9(X0),X1)
| sK49(X3,X4,sK9(X0),sK10(X0)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X3,X4,sK50(X3,X4,sK9(X0),sK10(X0)))),the_carrier(X3),the_mapping(X3,subnetstr_of_element(X3,X4,sK50(X3,X4,sK9(X0),sK10(X0)))))
| in(sK48(X3,X4,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X1,X4,X3)
| empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| empty_carrier(X4)
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| in(sK5(X0),X0) )
| ~ spl64_20 ),
inference(superposition,[],[f439,f1458]) ).
fof(f1565,definition,
( spl64_23
<=> ! [X4] :
( sK10(X4) = sK11(X4)
| in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_23])],[avatar_definition]) ).
fof(f1566,plain,
( ! [X4] :
( sK10(X4) = sK11(X4)
| in(sK5(X4),X4) )
| ~ spl64_23 ),
inference(avatar_component_clause,[],[f1565]) ).
fof(f1567,plain,
spl64_23,
inference(avatar_split_clause,[],[f226,f1565]) ).
fof(f1568,plain,
( ! [X0] :
( sK5(X0) = ordered_pair(sK9(X0),sK11(X0))
| in(sK5(X0),X0)
| in(sK5(X0),X0) )
| ~ spl64_20
| ~ spl64_23 ),
inference(superposition,[],[f1458,f1566]) ).
fof(f1569,plain,
( ! [X0] :
( sK5(X0) = ordered_pair(sK9(X0),sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_20
| ~ spl64_23 ),
inference(duplicate_literal_removal,[],[f1568]) ).
fof(f1571,definition,
( spl64_24
<=> ! [X0] :
( sK5(X0) = ordered_pair(sK9(X0),sK11(X0))
| in(sK5(X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_24])],[avatar_definition]) ).
fof(f1572,plain,
( ! [X0] :
( sK5(X0) = ordered_pair(sK9(X0),sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_24 ),
inference(avatar_component_clause,[],[f1571]) ).
fof(f1573,plain,
( spl64_24
| ~ spl64_20
| ~ spl64_23 ),
inference(avatar_split_clause,[],[f1569,f1565,f1457,f1571]) ).
fof(f1575,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK5(X0),sK47(X3,X4,X1,X2))
| ~ in(sK9(X0),X1)
| in(sK48(X3,X4,sK9(X0),sK11(X0)),the_carrier(X4))
| in(sK48(X3,X4,sK9(X0),sK11(X0)),sK11(X0))
| sP0(X1,X4,X3)
| empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| empty_carrier(X4)
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| in(sK5(X0),X0) )
| ~ spl64_24 ),
inference(superposition,[],[f424,f1572]) ).
fof(f1583,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK5(X0),sK47(X3,X4,X1,X2))
| ~ in(sK9(X0),X1)
| sK48(X3,X4,sK9(X0),sK11(X0)) = sK50(X3,X4,sK9(X0),sK11(X0))
| in(sK48(X3,X4,sK9(X0),sK11(X0)),sK11(X0))
| sP0(X1,X4,X3)
| empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| empty_carrier(X4)
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| in(sK5(X0),X0) )
| ~ spl64_24 ),
inference(superposition,[],[f436,f1572]) ).
fof(f1694,definition,
( spl64_31
<=> ! [X4,X17] :
( element(sK13(X4,X17),the_carrier(sK2))
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_31])],[avatar_definition]) ).
fof(f1695,plain,
( ! [X4,X17] :
( element(sK13(X4,X17),the_carrier(sK2))
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) )
| ~ spl64_31 ),
inference(avatar_component_clause,[],[f1694]) ).
fof(f1696,plain,
spl64_31,
inference(avatar_split_clause,[],[f222,f1694]) ).
fof(f1742,definition,
( spl64_33
<=> ! [X4,X17] :
( sK13(X4,X17) = X17
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_33])],[avatar_definition]) ).
fof(f1743,plain,
( ! [X4,X17] :
( sK13(X4,X17) = X17
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) )
| ~ spl64_33 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f1744,plain,
spl64_33,
inference(avatar_split_clause,[],[f220,f1742]) ).
fof(f1745,plain,
( ! [X0,X1] :
( element(X0,the_carrier(sK2))
| ~ in(X0,sK11(X1))
| in(sK5(X1),X1)
| ~ in(X0,sK11(X1))
| in(sK5(X1),X1) )
| ~ spl64_31
| ~ spl64_33 ),
inference(superposition,[],[f1695,f1743]) ).
fof(f1746,plain,
( ! [X0,X1] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X0)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X0))) = sK12(X1,X0)
| ~ in(X0,sK11(X1))
| in(sK5(X1),X1)
| ~ in(X0,sK11(X1))
| in(sK5(X1),X1) )
| ~ spl64_19
| ~ spl64_33 ),
inference(superposition,[],[f1430,f1743]) ).
fof(f1747,plain,
( ! [X0,X1] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X0)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X0))) = sK12(X1,X0)
| ~ in(X0,sK11(X1))
| in(sK5(X1),X1) )
| ~ spl64_19
| ~ spl64_33 ),
inference(duplicate_literal_removal,[],[f1746]) ).
fof(f1748,plain,
( ! [X0,X1] :
( element(X0,the_carrier(sK2))
| ~ in(X0,sK11(X1))
| in(sK5(X1),X1) )
| ~ spl64_31
| ~ spl64_33 ),
inference(duplicate_literal_removal,[],[f1745]) ).
fof(f1750,definition,
( spl64_34
<=> ! [X0,X1] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X0)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X0))) = sK12(X1,X0)
| ~ in(X0,sK11(X1))
| in(sK5(X1),X1) ) ),
introduced(definition,[new_symbols(definition,[spl64_34])],[avatar_definition]) ).
fof(f1751,plain,
( ! [X0,X1] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,X0)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,X0))) = sK12(X1,X0)
| ~ in(X0,sK11(X1))
| in(sK5(X1),X1) )
| ~ spl64_34 ),
inference(avatar_component_clause,[],[f1750]) ).
fof(f1752,plain,
( spl64_34
| ~ spl64_19
| ~ spl64_33 ),
inference(avatar_split_clause,[],[f1747,f1742,f1429,f1750]) ).
fof(f1754,definition,
( spl64_35
<=> ! [X0,X1] :
( element(X0,the_carrier(sK2))
| ~ in(X0,sK11(X1))
| in(sK5(X1),X1) ) ),
introduced(definition,[new_symbols(definition,[spl64_35])],[avatar_definition]) ).
fof(f1755,plain,
( ! [X0,X1] :
( ~ in(X0,sK11(X1))
| element(X0,the_carrier(sK2))
| in(sK5(X1),X1) )
| ~ spl64_35 ),
inference(avatar_component_clause,[],[f1754]) ).
fof(f1756,plain,
( spl64_35
| ~ spl64_31
| ~ spl64_33 ),
inference(avatar_split_clause,[],[f1748,f1742,f1694,f1754]) ).
fof(f1777,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,sK48(sK1,sK2,topstr_closure(sK1,X1),X2)) != X1
| in(ordered_pair(topstr_closure(sK1,X1),X2),sK47(sK1,sK2,X3,X4))
| ~ in(ordered_pair(topstr_closure(sK1,X1),X2),cartesian_product2(X3,X4))
| ~ in(topstr_closure(sK1,X1),X3)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),the_carrier(sK2))
| ~ netstr_induced_subset(X1,sK1,sK2)
| ~ element(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),the_carrier(sK2))
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),X2)
| sP0(X3,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_34 ),
inference(superposition,[],[f421,f1751]) ).
fof(f1784,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,sK48(sK1,sK2,topstr_closure(sK1,X1),X2)) != X1
| in(ordered_pair(topstr_closure(sK1,X1),X2),sK47(sK1,sK2,X3,X4))
| ~ in(ordered_pair(topstr_closure(sK1,X1),X2),cartesian_product2(X3,X4))
| ~ in(topstr_closure(sK1,X1),X3)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),the_carrier(sK2))
| ~ netstr_induced_subset(X1,sK1,sK2)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),X2)
| sP0(X3,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_34
| ~ spl64_35 ),
inference(forward_subsumption_resolution,[],[f1777,f1755]) ).
fof(f1799,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,sK48(sK1,sK2,topstr_closure(sK1,X1),X2)) != X1
| in(ordered_pair(topstr_closure(sK1,X1),X2),sK47(sK1,sK2,X3,X4))
| ~ in(ordered_pair(topstr_closure(sK1,X1),X2),cartesian_product2(X3,X4))
| ~ in(topstr_closure(sK1,X1),X3)
| ~ netstr_induced_subset(X1,sK1,sK2)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),X2)
| sP0(X3,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_17
| ~ spl64_34
| ~ spl64_35 ),
inference(forward_subsumption_resolution,[],[f1784,f1410]) ).
fof(f1814,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,sK48(sK1,sK2,topstr_closure(sK1,X1),X2)) != X1
| in(ordered_pair(topstr_closure(sK1,X1),X2),sK47(sK1,sK2,X3,X4))
| ~ in(ordered_pair(topstr_closure(sK1,X1),X2),cartesian_product2(X3,X4))
| ~ in(topstr_closure(sK1,X1),X3)
| ~ netstr_induced_subset(X1,sK1,sK2)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),X2)
| sP0(X3,sK2,sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),sK11(X0))
| in(sK5(X0),X0) )
| spl64_7
| ~ spl64_17
| ~ spl64_34
| ~ spl64_35 ),
inference(forward_subsumption_resolution,[],[f1799,f675]) ).
fof(f1826,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,sK48(sK1,sK2,topstr_closure(sK1,X1),X2)) != X1
| in(ordered_pair(topstr_closure(sK1,X1),X2),sK47(sK1,sK2,X3,X4))
| ~ in(ordered_pair(topstr_closure(sK1,X1),X2),cartesian_product2(X3,X4))
| ~ in(topstr_closure(sK1,X1),X3)
| ~ netstr_induced_subset(X1,sK1,sK2)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),X2)
| sP0(X3,sK2,sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_3
| spl64_7
| ~ spl64_17
| ~ spl64_34
| ~ spl64_35 ),
inference(forward_subsumption_resolution,[],[f1814,f479]) ).
fof(f1831,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,sK48(sK1,sK2,topstr_closure(sK1,X1),X2)) != X1
| in(ordered_pair(topstr_closure(sK1,X1),X2),sK47(sK1,sK2,X3,X4))
| ~ in(ordered_pair(topstr_closure(sK1,X1),X2),cartesian_product2(X3,X4))
| ~ in(topstr_closure(sK1,X1),X3)
| ~ netstr_induced_subset(X1,sK1,sK2)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),X2)
| sP0(X3,sK2,sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_2
| ~ spl64_3
| spl64_7
| ~ spl64_17
| ~ spl64_34
| ~ spl64_35 ),
inference(forward_subsumption_resolution,[],[f1826,f474]) ).
fof(f1836,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,sK48(sK1,sK2,topstr_closure(sK1,X1),X2)) != X1
| in(ordered_pair(topstr_closure(sK1,X1),X2),sK47(sK1,sK2,X3,X4))
| ~ in(ordered_pair(topstr_closure(sK1,X1),X2),cartesian_product2(X3,X4))
| ~ in(topstr_closure(sK1,X1),X3)
| ~ netstr_induced_subset(X1,sK1,sK2)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),X2)
| sP0(X3,sK2,sK1)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| ~ spl64_17
| ~ spl64_34
| ~ spl64_35 ),
inference(forward_subsumption_resolution,[],[f1831,f484]) ).
fof(f1841,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,sK48(sK1,sK2,topstr_closure(sK1,X1),X2)) != X1
| in(ordered_pair(topstr_closure(sK1,X1),X2),sK47(sK1,sK2,X3,X4))
| ~ in(ordered_pair(topstr_closure(sK1,X1),X2),cartesian_product2(X3,X4))
| ~ in(topstr_closure(sK1,X1),X3)
| ~ netstr_induced_subset(X1,sK1,sK2)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),X2)
| sP0(X3,sK2,sK1)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| ~ spl64_17
| ~ spl64_34
| ~ spl64_35 ),
inference(forward_subsumption_resolution,[],[f1836,f670]) ).
fof(f1844,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,sK48(sK1,sK2,topstr_closure(sK1,X1),X2)) != X1
| in(ordered_pair(topstr_closure(sK1,X1),X2),sK47(sK1,sK2,X3,X4))
| ~ in(ordered_pair(topstr_closure(sK1,X1),X2),cartesian_product2(X3,X4))
| ~ in(topstr_closure(sK1,X1),X3)
| ~ netstr_induced_subset(X1,sK1,sK2)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),X2)
| sP0(X3,sK2,sK1)
| ~ net_str(sK2,sK1)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_17
| ~ spl64_34
| ~ spl64_35 ),
inference(forward_subsumption_resolution,[],[f1841,f665]) ).
fof(f1845,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,sK48(sK1,sK2,topstr_closure(sK1,X1),X2)) != X1
| in(ordered_pair(topstr_closure(sK1,X1),X2),sK47(sK1,sK2,X3,X4))
| ~ in(ordered_pair(topstr_closure(sK1,X1),X2),cartesian_product2(X3,X4))
| ~ in(topstr_closure(sK1,X1),X3)
| ~ netstr_induced_subset(X1,sK1,sK2)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),X2)
| sP0(X3,sK2,sK1)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_17
| ~ spl64_34
| ~ spl64_35 ),
inference(forward_subsumption_resolution,[],[f1844,f1052]) ).
fof(f1980,definition,
( spl64_40
<=> ! [X4,X17] :
( netstr_induced_subset(sK12(X4,X17),sK1,sK2)
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_40])],[avatar_definition]) ).
fof(f1981,plain,
( ! [X4,X17] :
( netstr_induced_subset(sK12(X4,X17),sK1,sK2)
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) )
| ~ spl64_40 ),
inference(avatar_component_clause,[],[f1980]) ).
fof(f1982,plain,
spl64_40,
inference(avatar_split_clause,[],[f223,f1980]) ).
fof(f1999,definition,
( spl64_41
<=> ! [X2,X0,X1] :
( in(sK52(sK1,sK2,X0,X1),X0)
| ~ in(X1,sK47(sK1,sK2,X0,X2))
| sP0(X0,sK2,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl64_41])],[avatar_definition]) ).
fof(f2000,plain,
( ! [X2,X0,X1] :
( ~ in(X1,sK47(sK1,sK2,X0,X2))
| in(sK52(sK1,sK2,X0,X1),X0)
| sP0(X0,sK2,sK1) )
| ~ spl64_41 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f2001,plain,
( spl64_41
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9 ),
inference(avatar_split_clause,[],[f1324,f1050,f673,f668,f663,f482,f477,f472,f1999]) ).
fof(f2124,definition,
( spl64_46
<=> ! [X4,X17] :
( sK9(X4) = topstr_closure(sK1,sK12(X4,X17))
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) ) ),
introduced(definition,[new_symbols(definition,[spl64_46])],[avatar_definition]) ).
fof(f2125,plain,
( ! [X4,X17] :
( sK9(X4) = topstr_closure(sK1,sK12(X4,X17))
| ~ in(X17,sK11(X4))
| in(sK5(X4),X4) )
| ~ spl64_46 ),
inference(avatar_component_clause,[],[f2124]) ).
fof(f2126,plain,
spl64_46,
inference(avatar_split_clause,[],[f221,f2124]) ).
fof(f2262,definition,
( spl64_55
<=> ! [X4,X0,X3,X2,X1] :
( sK12(X0,sK48(sK1,sK2,topstr_closure(sK1,X1),X2)) != X1
| in(ordered_pair(topstr_closure(sK1,X1),X2),sK47(sK1,sK2,X3,X4))
| ~ in(ordered_pair(topstr_closure(sK1,X1),X2),cartesian_product2(X3,X4))
| ~ in(topstr_closure(sK1,X1),X3)
| ~ netstr_induced_subset(X1,sK1,sK2)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),X2)
| sP0(X3,sK2,sK1)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),sK11(X0))
| in(sK5(X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_55])],[avatar_definition]) ).
fof(f2263,plain,
( ! [X2,X3,X0,X1,X4] :
( sK12(X0,sK48(sK1,sK2,topstr_closure(sK1,X1),X2)) != X1
| in(ordered_pair(topstr_closure(sK1,X1),X2),sK47(sK1,sK2,X3,X4))
| ~ in(ordered_pair(topstr_closure(sK1,X1),X2),cartesian_product2(X3,X4))
| ~ in(topstr_closure(sK1,X1),X3)
| ~ netstr_induced_subset(X1,sK1,sK2)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),X2)
| sP0(X3,sK2,sK1)
| ~ in(sK48(sK1,sK2,topstr_closure(sK1,X1),X2),sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_55 ),
inference(avatar_component_clause,[],[f2262]) ).
fof(f2264,plain,
( spl64_55
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_17
| ~ spl64_34
| ~ spl64_35 ),
inference(avatar_split_clause,[],[f1845,f1754,f1750,f1409,f1050,f673,f668,f663,f482,f477,f472,f2262]) ).
fof(f2265,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK12(X0,X2) != sK12(X1,sK48(sK1,sK2,sK9(X0),X3))
| in(ordered_pair(sK9(X0),X3),sK47(sK1,sK2,X4,X5))
| ~ in(ordered_pair(sK9(X0),X3),cartesian_product2(X4,X5))
| ~ in(sK9(X0),X4)
| ~ netstr_induced_subset(sK12(X0,X2),sK1,sK2)
| ~ in(sK48(sK1,sK2,sK9(X0),X3),X3)
| sP0(X4,sK2,sK1)
| ~ in(sK48(sK1,sK2,sK9(X0),X3),sK11(X1))
| in(sK5(X1),X1)
| ~ in(X2,sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_46
| ~ spl64_55 ),
inference(superposition,[],[f2263,f2125]) ).
fof(f2274,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK12(X0,X2) != sK12(X1,sK48(sK1,sK2,sK9(X0),X3))
| in(ordered_pair(sK9(X0),X3),sK47(sK1,sK2,X4,X5))
| ~ in(ordered_pair(sK9(X0),X3),cartesian_product2(X4,X5))
| ~ in(sK9(X0),X4)
| ~ in(sK48(sK1,sK2,sK9(X0),X3),X3)
| sP0(X4,sK2,sK1)
| ~ in(sK48(sK1,sK2,sK9(X0),X3),sK11(X1))
| in(sK5(X1),X1)
| ~ in(X2,sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_40
| ~ spl64_46
| ~ spl64_55 ),
inference(forward_subsumption_resolution,[],[f2265,f1981]) ).
fof(f2714,definition,
( spl64_74
<=> ! [X5,X4,X0,X3,X2,X1] :
( sK55(sK1,X0,X1,X2,X3) != relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X1,X2),X4))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X1,X2),X4))))
| sK5(X5) != ordered_pair(sK52(sK1,X0,X1,X2),X4)
| ~ in(sK52(sK1,X0,X1,X2),sK3)
| ~ in(sK6(sK52(sK1,X0,X1,X2),X4),the_carrier(sK2))
| ~ netstr_induced_subset(sK55(sK1,X0,X1,X2,X3),sK1,sK2)
| ~ element(sK6(sK52(sK1,X0,X1,X2),X4),the_carrier(sK2))
| ~ in(sK5(X5),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,X0,X1,X2),X4),X4)
| ~ in(sK5(X5),X5)
| ~ in(X3,sK54(sK1,X0,X1,X2))
| sP0(X1,X0,sK1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK1)
| ~ sP61(sK1,X2,X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_74])],[avatar_definition]) ).
fof(f2715,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK55(sK1,X0,X1,X2,X3) != relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X1,X2),X4))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X1,X2),X4))))
| sK5(X5) != ordered_pair(sK52(sK1,X0,X1,X2),X4)
| ~ in(sK52(sK1,X0,X1,X2),sK3)
| ~ in(sK6(sK52(sK1,X0,X1,X2),X4),the_carrier(sK2))
| ~ netstr_induced_subset(sK55(sK1,X0,X1,X2,X3),sK1,sK2)
| ~ element(sK6(sK52(sK1,X0,X1,X2),X4),the_carrier(sK2))
| ~ in(sK5(X5),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,X0,X1,X2),X4),X4)
| ~ in(sK5(X5),X5)
| ~ in(X3,sK54(sK1,X0,X1,X2))
| sP0(X1,X0,sK1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK1)
| ~ sP61(sK1,X2,X1,X0) )
| ~ spl64_74 ),
inference(avatar_component_clause,[],[f2714]) ).
fof(f2716,plain,
( spl64_74
| ~ spl64_1 ),
inference(avatar_split_clause,[],[f469,f457,f2714]) ).
fof(f2891,definition,
( spl64_80
<=> ! [X0,X3,X2,X1] :
( sK56(sK1,X0,X1,X2,X3) = X3
| ~ in(X3,sK54(sK1,X0,X1,X2))
| sP0(X1,X0,sK1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK1)
| ~ sP62(sK1,X2,X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_80])],[avatar_definition]) ).
fof(f2892,plain,
( ! [X2,X3,X0,X1] :
( sK56(sK1,X0,X1,X2,X3) = X3
| ~ in(X3,sK54(sK1,X0,X1,X2))
| sP0(X1,X0,sK1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK1)
| ~ sP62(sK1,X2,X1,X0) )
| ~ spl64_80 ),
inference(avatar_component_clause,[],[f2891]) ).
fof(f2893,plain,
( spl64_80
| ~ spl64_2
| ~ spl64_3 ),
inference(avatar_split_clause,[],[f589,f477,f472,f2891]) ).
fof(f2896,plain,
( ! [X2,X3,X0,X1] :
( sK55(sK1,X1,X2,X3,X0) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,X1,X0)))
| ~ in(X0,sK54(sK1,X1,X2,X3))
| sP0(X2,X1,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,sK1)
| ~ sP63(sK1,X3,X2,X1)
| ~ in(X0,sK54(sK1,X1,X2,X3))
| sP0(X2,X1,sK1)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,sK1)
| ~ sP62(sK1,X3,X2,X1) )
| ~ spl64_80 ),
inference(superposition,[],[f455,f2892]) ).
fof(f2897,plain,
( ! [X2,X3,X0,X1] :
( sK55(sK1,X1,X2,X3,X0) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,X1,X0)))
| ~ in(X0,sK54(sK1,X1,X2,X3))
| sP0(X2,X1,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,sK1)
| ~ sP63(sK1,X3,X2,X1)
| ~ sP62(sK1,X3,X2,X1) )
| ~ spl64_80 ),
inference(duplicate_literal_removal,[],[f2896]) ).
fof(f2900,plain,
( ! [X2,X3,X0,X1] :
( sK55(sK1,X1,X2,X3,X0) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,X1,X0)))
| ~ in(X0,sK54(sK1,X1,X2,X3))
| sP0(X2,X1,sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,sK1)
| ~ sP63(sK1,X3,X2,X1)
| ~ sP62(sK1,X3,X2,X1) )
| spl64_7
| ~ spl64_80 ),
inference(forward_subsumption_resolution,[],[f2897,f675]) ).
fof(f2902,plain,
( ! [X2,X3,X0,X1] :
( sK55(sK1,X1,X2,X3,X0) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,X1,X0)))
| ~ in(X0,sK54(sK1,X1,X2,X3))
| sP0(X2,X1,sK1)
| ~ top_str(sK1)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,sK1)
| ~ sP63(sK1,X3,X2,X1)
| ~ sP62(sK1,X3,X2,X1) )
| ~ spl64_3
| spl64_7
| ~ spl64_80 ),
inference(forward_subsumption_resolution,[],[f2900,f479]) ).
fof(f2904,plain,
( ! [X2,X3,X0,X1] :
( sK55(sK1,X1,X2,X3,X0) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,X1,X0)))
| ~ in(X0,sK54(sK1,X1,X2,X3))
| sP0(X2,X1,sK1)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,sK1)
| ~ sP63(sK1,X3,X2,X1)
| ~ sP62(sK1,X3,X2,X1) )
| ~ spl64_2
| ~ spl64_3
| spl64_7
| ~ spl64_80 ),
inference(forward_subsumption_resolution,[],[f2902,f474]) ).
fof(f5509,definition,
( spl64_192
<=> ! [X4,X0,X3,X2,X1] :
( ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK5(X0),sK47(X3,X4,X1,X2))
| ~ in(sK9(X0),X1)
| netstr_induced_subset(sK49(X3,X4,sK9(X0),sK10(X0)),X3,X4)
| in(sK48(X3,X4,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X1,X4,X3)
| empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| empty_carrier(X4)
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| in(sK5(X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_192])],[avatar_definition]) ).
fof(f5510,plain,
( ! [X2,X3,X0,X1,X4] :
( netstr_induced_subset(sK49(X3,X4,sK9(X0),sK10(X0)),X3,X4)
| in(sK5(X0),sK47(X3,X4,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK48(X3,X4,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X1,X4,X3)
| empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| empty_carrier(X4)
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| in(sK5(X0),X0) )
| ~ spl64_192 ),
inference(avatar_component_clause,[],[f5509]) ).
fof(f5511,plain,
( spl64_192
| ~ spl64_20 ),
inference(avatar_split_clause,[],[f1463,f1457,f5509]) ).
fof(f5902,definition,
( spl64_207
<=> ! [X0,X3,X2,X1] :
( sK55(sK1,X1,X2,X3,X0) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,X1,X0)))
| ~ in(X0,sK54(sK1,X1,X2,X3))
| sP0(X2,X1,sK1)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,sK1)
| ~ sP63(sK1,X3,X2,X1)
| ~ sP62(sK1,X3,X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl64_207])],[avatar_definition]) ).
fof(f5903,plain,
( ! [X2,X3,X0,X1] :
( sK55(sK1,X1,X2,X3,X0) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X1,X0)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,X1,X0)))
| ~ in(X0,sK54(sK1,X1,X2,X3))
| sP0(X2,X1,sK1)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,sK1)
| ~ sP63(sK1,X3,X2,X1)
| ~ sP62(sK1,X3,X2,X1) )
| ~ spl64_207 ),
inference(avatar_component_clause,[],[f5902]) ).
fof(f5904,plain,
( spl64_207
| ~ spl64_2
| ~ spl64_3
| spl64_7
| ~ spl64_80 ),
inference(avatar_split_clause,[],[f2904,f2891,f673,f477,f472,f5902]) ).
fof(f5928,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,X1)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,X0,X1))) != relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X2,X3),X4))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X2,X3),X4))))
| sK5(X5) != ordered_pair(sK52(sK1,X0,X2,X3),X4)
| ~ in(sK52(sK1,X0,X2,X3),sK3)
| ~ in(sK6(sK52(sK1,X0,X2,X3),X4),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,X1)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,X0,X1))),sK1,sK2)
| ~ element(sK6(sK52(sK1,X0,X2,X3),X4),the_carrier(sK2))
| ~ in(sK5(X5),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,X0,X2,X3),X4),X4)
| ~ in(sK5(X5),X5)
| ~ in(X1,sK54(sK1,X0,X2,X3))
| sP0(X2,X0,sK1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK1)
| ~ sP61(sK1,X3,X2,X0)
| ~ in(X1,sK54(sK1,X0,X2,X3))
| sP0(X2,X0,sK1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK1)
| ~ sP63(sK1,X3,X2,X0)
| ~ sP62(sK1,X3,X2,X0) )
| ~ spl64_74
| ~ spl64_207 ),
inference(superposition,[],[f2715,f5903]) ).
fof(f5983,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,X1)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,X0,X1))) != relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X2,X3),X4))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X2,X3),X4))))
| sK5(X5) != ordered_pair(sK52(sK1,X0,X2,X3),X4)
| ~ in(sK52(sK1,X0,X2,X3),sK3)
| ~ in(sK6(sK52(sK1,X0,X2,X3),X4),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,X1)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,X0,X1))),sK1,sK2)
| ~ element(sK6(sK52(sK1,X0,X2,X3),X4),the_carrier(sK2))
| ~ in(sK5(X5),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,X0,X2,X3),X4),X4)
| ~ in(sK5(X5),X5)
| ~ in(X1,sK54(sK1,X0,X2,X3))
| sP0(X2,X0,sK1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK1)
| ~ sP61(sK1,X3,X2,X0)
| ~ sP63(sK1,X3,X2,X0)
| ~ sP62(sK1,X3,X2,X0) )
| ~ spl64_74
| ~ spl64_207 ),
inference(duplicate_literal_removal,[],[f5928]) ).
fof(f6031,definition,
( spl64_210
<=> ! [X4,X0,X3,X2,X1] :
( ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK5(X0),sK47(X3,X4,X1,X2))
| ~ in(sK9(X0),X1)
| sK9(X0) = topstr_closure(X3,sK49(X3,X4,sK9(X0),sK10(X0)))
| in(sK48(X3,X4,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X1,X4,X3)
| empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| empty_carrier(X4)
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| in(sK5(X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_210])],[avatar_definition]) ).
fof(f6032,plain,
( ! [X2,X3,X0,X1,X4] :
( sK9(X0) = topstr_closure(X3,sK49(X3,X4,sK9(X0),sK10(X0)))
| in(sK5(X0),sK47(X3,X4,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK48(X3,X4,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X1,X4,X3)
| empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| empty_carrier(X4)
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| in(sK5(X0),X0) )
| ~ spl64_210 ),
inference(avatar_component_clause,[],[f6031]) ).
fof(f6033,plain,
( spl64_210
| ~ spl64_20 ),
inference(avatar_split_clause,[],[f1467,f1457,f6031]) ).
fof(f6512,definition,
( spl64_227
<=> ! [X4,X0,X3,X2,X1] :
( ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK5(X0),sK47(X3,X4,X1,X2))
| ~ in(sK9(X0),X1)
| sK49(X3,X4,sK9(X0),sK10(X0)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X3,X4,sK50(X3,X4,sK9(X0),sK10(X0)))),the_carrier(X3),the_mapping(X3,subnetstr_of_element(X3,X4,sK50(X3,X4,sK9(X0),sK10(X0)))))
| in(sK48(X3,X4,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X1,X4,X3)
| empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| empty_carrier(X4)
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| in(sK5(X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_227])],[avatar_definition]) ).
fof(f6513,plain,
( ! [X2,X3,X0,X1,X4] :
( sK49(X3,X4,sK9(X0),sK10(X0)) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X3,X4,sK50(X3,X4,sK9(X0),sK10(X0)))),the_carrier(X3),the_mapping(X3,subnetstr_of_element(X3,X4,sK50(X3,X4,sK9(X0),sK10(X0)))))
| in(sK5(X0),sK47(X3,X4,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK48(X3,X4,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X1,X4,X3)
| empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| empty_carrier(X4)
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| in(sK5(X0),X0) )
| ~ spl64_227 ),
inference(avatar_component_clause,[],[f6512]) ).
fof(f6514,plain,
( spl64_227
| ~ spl64_20 ),
inference(avatar_split_clause,[],[f1471,f1457,f6512]) ).
fof(f6538,plain,
( ! [X2,X3,X0,X1] :
( sK9(X1) != topstr_closure(sK1,sK49(sK1,sK2,sK9(X0),sK10(X0)))
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| ~ netstr_induced_subset(sK49(sK1,sK2,sK9(X0),sK10(X0)),sK1,sK2)
| ~ element(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_16
| ~ spl64_227 ),
inference(superposition,[],[f1381,f6513]) ).
fof(f6554,plain,
( ! [X2,X3,X0,X1] :
( sK9(X1) != topstr_closure(sK1,sK49(sK1,sK2,sK9(X0),sK10(X0)))
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| ~ element(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_16
| ~ spl64_192
| ~ spl64_227 ),
inference(forward_subsumption_resolution,[],[f6538,f5510]) ).
fof(f6570,plain,
( ! [X2,X3,X0,X1] :
( sK9(X1) != topstr_closure(sK1,sK49(sK1,sK2,sK9(X0),sK10(X0)))
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_16
| ~ spl64_20
| ~ spl64_192
| ~ spl64_227 ),
inference(forward_subsumption_resolution,[],[f6554,f1465]) ).
fof(f6586,plain,
( ! [X2,X3,X0,X1] :
( sK9(X1) != topstr_closure(sK1,sK49(sK1,sK2,sK9(X0),sK10(X0)))
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| in(sK5(X0),X0) )
| spl64_7
| ~ spl64_16
| ~ spl64_20
| ~ spl64_192
| ~ spl64_227 ),
inference(forward_subsumption_resolution,[],[f6570,f675]) ).
fof(f6595,plain,
( ! [X2,X3,X0,X1] :
( sK9(X1) != topstr_closure(sK1,sK49(sK1,sK2,sK9(X0),sK10(X0)))
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_3
| spl64_7
| ~ spl64_16
| ~ spl64_20
| ~ spl64_192
| ~ spl64_227 ),
inference(forward_subsumption_resolution,[],[f6586,f479]) ).
fof(f6599,plain,
( ! [X2,X3,X0,X1] :
( sK9(X1) != topstr_closure(sK1,sK49(sK1,sK2,sK9(X0),sK10(X0)))
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_2
| ~ spl64_3
| spl64_7
| ~ spl64_16
| ~ spl64_20
| ~ spl64_192
| ~ spl64_227 ),
inference(forward_subsumption_resolution,[],[f6595,f474]) ).
fof(f6603,plain,
( ! [X2,X3,X0,X1] :
( sK9(X1) != topstr_closure(sK1,sK49(sK1,sK2,sK9(X0),sK10(X0)))
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| ~ spl64_16
| ~ spl64_20
| ~ spl64_192
| ~ spl64_227 ),
inference(forward_subsumption_resolution,[],[f6599,f484]) ).
fof(f6607,plain,
( ! [X2,X3,X0,X1] :
( sK9(X1) != topstr_closure(sK1,sK49(sK1,sK2,sK9(X0),sK10(X0)))
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| ~ spl64_16
| ~ spl64_20
| ~ spl64_192
| ~ spl64_227 ),
inference(forward_subsumption_resolution,[],[f6603,f670]) ).
fof(f6611,plain,
( ! [X2,X3,X0,X1] :
( sK9(X1) != topstr_closure(sK1,sK49(sK1,sK2,sK9(X0),sK10(X0)))
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| ~ net_str(sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_16
| ~ spl64_20
| ~ spl64_192
| ~ spl64_227 ),
inference(forward_subsumption_resolution,[],[f6607,f665]) ).
fof(f6612,plain,
( ! [X2,X3,X0,X1] :
( sK9(X1) != topstr_closure(sK1,sK49(sK1,sK2,sK9(X0),sK10(X0)))
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_16
| ~ spl64_20
| ~ spl64_192
| ~ spl64_227 ),
inference(forward_subsumption_resolution,[],[f6611,f1052]) ).
fof(f6614,definition,
( spl64_228
<=> ! [X0,X3,X2,X1] :
( sK9(X1) != topstr_closure(sK1,sK49(sK1,sK2,sK9(X0),sK10(X0)))
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| in(sK5(X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_228])],[avatar_definition]) ).
fof(f6615,plain,
( ! [X2,X3,X0,X1] :
( sK9(X1) != topstr_closure(sK1,sK49(sK1,sK2,sK9(X0),sK10(X0)))
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_228 ),
inference(avatar_component_clause,[],[f6614]) ).
fof(f6616,plain,
( spl64_228
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_16
| ~ spl64_20
| ~ spl64_192
| ~ spl64_227 ),
inference(avatar_split_clause,[],[f6612,f6512,f5509,f1457,f1380,f1050,f673,f668,f663,f482,f477,f472,f6614]) ).
fof(f6621,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK9(X0) != sK9(X1)
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X4,X5))
| ~ in(sK9(X0),X4)
| ~ in(sK5(X0),cartesian_product2(X4,X5))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X4,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_210
| ~ spl64_228 ),
inference(superposition,[],[f6615,f6032]) ).
fof(f6624,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK9(X0) != sK9(X1)
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X4,X5))
| ~ in(sK9(X0),X4)
| ~ in(sK5(X0),cartesian_product2(X4,X5))
| sP0(X4,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_210
| ~ spl64_228 ),
inference(duplicate_literal_removal,[],[f6621]) ).
fof(f6629,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK9(X0) != sK9(X1)
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X4,X5))
| ~ in(sK9(X0),X4)
| ~ in(sK5(X0),cartesian_product2(X4,X5))
| sP0(X4,sK2,sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| spl64_7
| ~ spl64_210
| ~ spl64_228 ),
inference(forward_subsumption_resolution,[],[f6624,f675]) ).
fof(f6630,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK9(X0) != sK9(X1)
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X4,X5))
| ~ in(sK9(X0),X4)
| ~ in(sK5(X0),cartesian_product2(X4,X5))
| sP0(X4,sK2,sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_3
| spl64_7
| ~ spl64_210
| ~ spl64_228 ),
inference(forward_subsumption_resolution,[],[f6629,f479]) ).
fof(f6631,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK9(X0) != sK9(X1)
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X4,X5))
| ~ in(sK9(X0),X4)
| ~ in(sK5(X0),cartesian_product2(X4,X5))
| sP0(X4,sK2,sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_7
| ~ spl64_210
| ~ spl64_228 ),
inference(forward_subsumption_resolution,[],[f6630,f474]) ).
fof(f6632,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK9(X0) != sK9(X1)
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X4,X5))
| ~ in(sK9(X0),X4)
| ~ in(sK5(X0),cartesian_product2(X4,X5))
| sP0(X4,sK2,sK1)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| ~ spl64_210
| ~ spl64_228 ),
inference(forward_subsumption_resolution,[],[f6631,f484]) ).
fof(f6633,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK9(X0) != sK9(X1)
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X4,X5))
| ~ in(sK9(X0),X4)
| ~ in(sK5(X0),cartesian_product2(X4,X5))
| sP0(X4,sK2,sK1)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| ~ spl64_210
| ~ spl64_228 ),
inference(forward_subsumption_resolution,[],[f6632,f670]) ).
fof(f6634,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK9(X0) != sK9(X1)
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X4,X5))
| ~ in(sK9(X0),X4)
| ~ in(sK5(X0),cartesian_product2(X4,X5))
| sP0(X4,sK2,sK1)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_210
| ~ spl64_228 ),
inference(forward_subsumption_resolution,[],[f6633,f665]) ).
fof(f6635,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK9(X0) != sK9(X1)
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X4,X5))
| ~ in(sK9(X0),X4)
| ~ in(sK5(X0),cartesian_product2(X4,X5))
| sP0(X4,sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_210
| ~ spl64_228 ),
inference(forward_subsumption_resolution,[],[f6634,f1052]) ).
fof(f7431,definition,
( spl64_265
<=> sP0(sK3,sK2,sK1) ),
introduced(definition,[new_symbols(definition,[spl64_265])],[avatar_definition]) ).
fof(f7432,plain,
( ~ sP0(sK3,sK2,sK1)
| spl64_265 ),
inference(avatar_component_clause,[],[f7431]) ).
fof(f7433,plain,
( sP0(sK3,sK2,sK1)
| ~ spl64_265 ),
inference(avatar_component_clause,[],[f7431]) ).
fof(f7447,plain,
( sK36(sK3,sK2,sK1) = sK34(sK3,sK2,sK1)
| ~ spl64_265 ),
inference(resolution,[],[f7433,f370]) ).
fof(f7457,plain,
( sK34(sK3,sK2,sK1) = sK35(sK3,sK2,sK1)
| ~ spl64_265 ),
inference(resolution,[],[f7433,f381]) ).
fof(f7458,plain,
( sK36(sK3,sK2,sK1) != sK35(sK3,sK2,sK1)
| ~ spl64_265 ),
inference(resolution,[],[f7433,f382]) ).
fof(f7461,plain,
( sK36(sK3,sK2,sK1) = sK35(sK3,sK2,sK1)
| ~ spl64_265 ),
inference(forward_demodulation,[],[f7447,f7457]) ).
fof(f7462,plain,
( $false
| ~ spl64_265 ),
inference(forward_subsumption_resolution,[],[f7461,f7458]) ).
fof(f7463,plain,
~ spl64_265,
inference(avatar_contradiction_clause,[],[f7462]) ).
fof(f7469,plain,
( ! [X0,X1] :
( in(sK52(sK1,sK2,sK3,X0),sK3)
| ~ in(X0,sK47(sK1,sK2,sK3,X1))
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| spl64_265 ),
inference(resolution,[],[f7432,f391]) ).
fof(f7470,plain,
( ! [X0,X1] :
( ordered_pair(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)) = X0
| ~ in(X0,sK47(sK1,sK2,sK3,X1))
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| spl64_265 ),
inference(resolution,[],[f7432,f392]) ).
fof(f7471,plain,
( ! [X0,X1] :
( sK51(sK1,sK2,sK3,X0,X1) = X1
| ~ in(X1,sK47(sK1,sK2,sK3,X0))
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| spl64_265 ),
inference(resolution,[],[f7432,f393]) ).
fof(f7472,plain,
( ! [X0,X1] :
( in(sK51(sK1,sK2,sK3,X0,X1),cartesian_product2(sK3,X0))
| ~ in(X1,sK47(sK1,sK2,sK3,X0))
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| spl64_265 ),
inference(resolution,[],[f7432,f394]) ).
fof(f7480,plain,
( ! [X0,X1] :
( ~ in(X0,sK47(sK1,sK2,sK3,X1))
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP57(sK1,X0,sK3,sK2) )
| spl64_265 ),
inference(resolution,[],[f7432,f443]) ).
fof(f7481,plain,
( ! [X0,X1] :
( in(X0,the_carrier(sK2))
| ~ in(X0,sK54(sK1,sK2,sK3,X1))
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP58(sK1,X1,sK3,sK2) )
| spl64_265 ),
inference(resolution,[],[f7432,f445]) ).
fof(f7483,plain,
( ! [X0,X1] :
( element(sK56(sK1,sK2,sK3,X0,X1),the_carrier(sK2))
| ~ in(X1,sK54(sK1,sK2,sK3,X0))
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP60(sK1,X0,sK3,sK2) )
| spl64_265 ),
inference(resolution,[],[f7432,f449]) ).
fof(f7490,plain,
( ! [X0,X1] :
( element(sK56(sK1,sK2,sK3,X0,X1),the_carrier(sK2))
| ~ in(X1,sK54(sK1,sK2,sK3,X0))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP60(sK1,X0,sK3,sK2) )
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7483,f675]) ).
fof(f7492,plain,
( ! [X0,X1] :
( in(X0,the_carrier(sK2))
| ~ in(X0,sK54(sK1,sK2,sK3,X1))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP58(sK1,X1,sK3,sK2) )
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7481,f675]) ).
fof(f7493,plain,
( ! [X0,X1] :
( ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP57(sK1,X0,sK3,sK2) )
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7480,f675]) ).
fof(f7501,plain,
( ! [X0,X1] :
( in(sK51(sK1,sK2,sK3,X0,X1),cartesian_product2(sK3,X0))
| ~ in(X1,sK47(sK1,sK2,sK3,X0))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7472,f675]) ).
fof(f7502,plain,
( ! [X0,X1] :
( sK51(sK1,sK2,sK3,X0,X1) = X1
| ~ in(X1,sK47(sK1,sK2,sK3,X0))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7471,f675]) ).
fof(f7503,plain,
( ! [X0,X1] :
( ordered_pair(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)) = X0
| ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7470,f675]) ).
fof(f7504,plain,
( ! [X0,X1] :
( in(sK52(sK1,sK2,sK3,X0),sK3)
| ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7469,f675]) ).
fof(f7509,plain,
( ! [X0,X1] :
( element(sK56(sK1,sK2,sK3,X0,X1),the_carrier(sK2))
| ~ in(X1,sK54(sK1,sK2,sK3,X0))
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP60(sK1,X0,sK3,sK2) )
| ~ spl64_3
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7490,f479]) ).
fof(f7511,plain,
( ! [X0,X1] :
( in(X0,the_carrier(sK2))
| ~ in(X0,sK54(sK1,sK2,sK3,X1))
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP58(sK1,X1,sK3,sK2) )
| ~ spl64_3
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7492,f479]) ).
fof(f7512,plain,
( ! [X0,X1] :
( ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP57(sK1,X0,sK3,sK2) )
| ~ spl64_3
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7493,f479]) ).
fof(f7520,plain,
( ! [X0,X1] :
( in(sK51(sK1,sK2,sK3,X0,X1),cartesian_product2(sK3,X0))
| ~ in(X1,sK47(sK1,sK2,sK3,X0))
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_3
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7501,f479]) ).
fof(f7521,plain,
( ! [X0,X1] :
( sK51(sK1,sK2,sK3,X0,X1) = X1
| ~ in(X1,sK47(sK1,sK2,sK3,X0))
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_3
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7502,f479]) ).
fof(f7522,plain,
( ! [X0,X1] :
( ordered_pair(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)) = X0
| ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_3
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7503,f479]) ).
fof(f7523,plain,
( ! [X0,X1] :
( in(sK52(sK1,sK2,sK3,X0),sK3)
| ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_3
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7504,f479]) ).
fof(f7528,plain,
( ! [X0,X1] :
( element(sK56(sK1,sK2,sK3,X0,X1),the_carrier(sK2))
| ~ in(X1,sK54(sK1,sK2,sK3,X0))
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP60(sK1,X0,sK3,sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7509,f474]) ).
fof(f7530,plain,
( ! [X0,X1] :
( in(X0,the_carrier(sK2))
| ~ in(X0,sK54(sK1,sK2,sK3,X1))
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP58(sK1,X1,sK3,sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7511,f474]) ).
fof(f7531,plain,
( ! [X0,X1] :
( ~ in(X0,sK47(sK1,sK2,sK3,X1))
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP57(sK1,X0,sK3,sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7512,f474]) ).
fof(f7539,plain,
( ! [X0,X1] :
( in(sK51(sK1,sK2,sK3,X0,X1),cartesian_product2(sK3,X0))
| ~ in(X1,sK47(sK1,sK2,sK3,X0))
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7520,f474]) ).
fof(f7540,plain,
( ! [X0,X1] :
( sK51(sK1,sK2,sK3,X0,X1) = X1
| ~ in(X1,sK47(sK1,sK2,sK3,X0))
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7521,f474]) ).
fof(f7541,plain,
( ! [X0,X1] :
( ordered_pair(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)) = X0
| ~ in(X0,sK47(sK1,sK2,sK3,X1))
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7522,f474]) ).
fof(f7542,plain,
( ! [X0,X1] :
( in(sK52(sK1,sK2,sK3,X0),sK3)
| ~ in(X0,sK47(sK1,sK2,sK3,X1))
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7523,f474]) ).
fof(f7547,plain,
( ! [X0,X1] :
( element(sK56(sK1,sK2,sK3,X0,X1),the_carrier(sK2))
| ~ in(X1,sK54(sK1,sK2,sK3,X0))
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP60(sK1,X0,sK3,sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7528,f484]) ).
fof(f7549,plain,
( ! [X0,X1] :
( in(X0,the_carrier(sK2))
| ~ in(X0,sK54(sK1,sK2,sK3,X1))
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP58(sK1,X1,sK3,sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7530,f484]) ).
fof(f7550,plain,
( ! [X0,X1] :
( ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP57(sK1,X0,sK3,sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7531,f484]) ).
fof(f7558,plain,
( ! [X0,X1] :
( in(sK51(sK1,sK2,sK3,X0,X1),cartesian_product2(sK3,X0))
| ~ in(X1,sK47(sK1,sK2,sK3,X0))
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7539,f484]) ).
fof(f7559,plain,
( ! [X0,X1] :
( sK51(sK1,sK2,sK3,X0,X1) = X1
| ~ in(X1,sK47(sK1,sK2,sK3,X0))
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7540,f484]) ).
fof(f7560,plain,
( ! [X0,X1] :
( ordered_pair(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)) = X0
| ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7541,f484]) ).
fof(f7561,plain,
( ! [X0,X1] :
( in(sK52(sK1,sK2,sK3,X0),sK3)
| ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7542,f484]) ).
fof(f7566,plain,
( ! [X0,X1] :
( element(sK56(sK1,sK2,sK3,X0,X1),the_carrier(sK2))
| ~ in(X1,sK54(sK1,sK2,sK3,X0))
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP60(sK1,X0,sK3,sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7547,f670]) ).
fof(f7568,plain,
( ! [X0,X1] :
( in(X0,the_carrier(sK2))
| ~ in(X0,sK54(sK1,sK2,sK3,X1))
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP58(sK1,X1,sK3,sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7549,f670]) ).
fof(f7569,plain,
( ! [X0,X1] :
( ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP57(sK1,X0,sK3,sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7550,f670]) ).
fof(f7577,plain,
( ! [X0,X1] :
( in(sK51(sK1,sK2,sK3,X0,X1),cartesian_product2(sK3,X0))
| ~ in(X1,sK47(sK1,sK2,sK3,X0))
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7558,f670]) ).
fof(f7578,plain,
( ! [X0,X1] :
( sK51(sK1,sK2,sK3,X0,X1) = X1
| ~ in(X1,sK47(sK1,sK2,sK3,X0))
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7559,f670]) ).
fof(f7579,plain,
( ! [X0,X1] :
( ordered_pair(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)) = X0
| ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7560,f670]) ).
fof(f7580,plain,
( ! [X0,X1] :
( in(sK52(sK1,sK2,sK3,X0),sK3)
| ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7561,f670]) ).
fof(f7585,plain,
( ! [X0,X1] :
( element(sK56(sK1,sK2,sK3,X0,X1),the_carrier(sK2))
| ~ in(X1,sK54(sK1,sK2,sK3,X0))
| ~ net_str(sK2,sK1)
| ~ sP60(sK1,X0,sK3,sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7566,f665]) ).
fof(f7587,plain,
( ! [X0,X1] :
( in(X0,the_carrier(sK2))
| ~ in(X0,sK54(sK1,sK2,sK3,X1))
| ~ net_str(sK2,sK1)
| ~ sP58(sK1,X1,sK3,sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7568,f665]) ).
fof(f7588,plain,
( ! [X0,X1] :
( ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ net_str(sK2,sK1)
| ~ sP57(sK1,X0,sK3,sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7569,f665]) ).
fof(f7596,plain,
( ! [X0,X1] :
( in(sK51(sK1,sK2,sK3,X0,X1),cartesian_product2(sK3,X0))
| ~ in(X1,sK47(sK1,sK2,sK3,X0))
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7577,f665]) ).
fof(f7597,plain,
( ! [X0,X1] :
( sK51(sK1,sK2,sK3,X0,X1) = X1
| ~ in(X1,sK47(sK1,sK2,sK3,X0))
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7578,f665]) ).
fof(f7598,plain,
( ! [X0,X1] :
( ordered_pair(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)) = X0
| ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7579,f665]) ).
fof(f7599,plain,
( ! [X0,X1] :
( in(sK52(sK1,sK2,sK3,X0),sK3)
| ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7580,f665]) ).
fof(f7604,plain,
( ! [X0,X1] :
( element(sK56(sK1,sK2,sK3,X0,X1),the_carrier(sK2))
| ~ in(X1,sK54(sK1,sK2,sK3,X0))
| ~ sP60(sK1,X0,sK3,sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7585,f1052]) ).
fof(f7606,plain,
( ! [X0,X1] :
( in(X0,the_carrier(sK2))
| ~ in(X0,sK54(sK1,sK2,sK3,X1))
| ~ sP58(sK1,X1,sK3,sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7587,f1052]) ).
fof(f7607,plain,
( ! [X0,X1] :
( ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ sP57(sK1,X0,sK3,sK2) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7588,f1052]) ).
fof(f7615,plain,
( ! [X0,X1] :
( in(sK51(sK1,sK2,sK3,X0,X1),cartesian_product2(sK3,X0))
| ~ in(X1,sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7596,f1052]) ).
fof(f7616,plain,
( ! [X0,X1] :
( sK51(sK1,sK2,sK3,X0,X1) = X1
| ~ in(X1,sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7597,f1052]) ).
fof(f7617,plain,
( ! [X0,X1] :
( ordered_pair(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)) = X0
| ~ in(X0,sK47(sK1,sK2,sK3,X1)) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7598,f1052]) ).
fof(f7618,plain,
( ! [X0,X1] :
( in(sK52(sK1,sK2,sK3,X0),sK3)
| ~ in(X0,sK47(sK1,sK2,sK3,X1)) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265 ),
inference(forward_subsumption_resolution,[],[f7599,f1052]) ).
fof(f7621,definition,
( spl64_267
<=> ! [X0,X1] :
( ordered_pair(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)) = X0
| ~ in(X0,sK47(sK1,sK2,sK3,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl64_267])],[avatar_definition]) ).
fof(f7622,plain,
( ! [X0,X1] :
( ordered_pair(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)) = X0
| ~ in(X0,sK47(sK1,sK2,sK3,X1)) )
| ~ spl64_267 ),
inference(avatar_component_clause,[],[f7621]) ).
fof(f7623,plain,
( spl64_267
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265 ),
inference(avatar_split_clause,[],[f7617,f7431,f1050,f673,f668,f663,f482,f477,f472,f7621]) ).
fof(f7642,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| ~ in(sK52(sK1,sK2,sK3,X0),sK3)
| sK52(sK1,sK2,sK3,X0) = topstr_closure(sK1,sK7(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)))
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_11
| ~ spl64_267 ),
inference(superposition,[],[f1341,f7622]) ).
fof(f7644,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| ~ in(sK52(sK1,sK2,sK3,X0),sK3)
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_13
| ~ spl64_267 ),
inference(superposition,[],[f1355,f7622]) ).
fof(f7645,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| ~ in(sK52(sK1,sK2,sK3,X0),sK3)
| element(sK8(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_15
| ~ spl64_267 ),
inference(superposition,[],[f1374,f7622]) ).
fof(f7646,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| ~ in(sK52(sK1,sK2,sK3,X0),sK3)
| netstr_induced_subset(sK7(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK1,sK2)
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_18
| ~ spl64_267 ),
inference(superposition,[],[f1423,f7622]) ).
fof(f7668,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| netstr_induced_subset(sK7(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK1,sK2)
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_18
| spl64_265
| ~ spl64_267 ),
inference(forward_subsumption_resolution,[],[f7646,f7618]) ).
fof(f7669,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| element(sK8(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_15
| spl64_265
| ~ spl64_267 ),
inference(forward_subsumption_resolution,[],[f7645,f7618]) ).
fof(f7670,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_13
| spl64_265
| ~ spl64_267 ),
inference(forward_subsumption_resolution,[],[f7644,f7618]) ).
fof(f7672,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| sK52(sK1,sK2,sK3,X0) = topstr_closure(sK1,sK7(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)))
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_11
| spl64_265
| ~ spl64_267 ),
inference(forward_subsumption_resolution,[],[f7642,f7618]) ).
fof(f7675,definition,
( spl64_268
<=> ! [X0,X1] :
( sK51(sK1,sK2,sK3,X0,X1) = X1
| ~ in(X1,sK47(sK1,sK2,sK3,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl64_268])],[avatar_definition]) ).
fof(f7676,plain,
( ! [X0,X1] :
( sK51(sK1,sK2,sK3,X0,X1) = X1
| ~ in(X1,sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_268 ),
inference(avatar_component_clause,[],[f7675]) ).
fof(f7677,plain,
( spl64_268
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265 ),
inference(avatar_split_clause,[],[f7616,f7431,f1050,f673,f668,f663,f482,f477,f472,f7675]) ).
fof(f7689,definition,
( spl64_269
<=> ! [X0,X1] :
( in(sK51(sK1,sK2,sK3,X0,X1),cartesian_product2(sK3,X0))
| ~ in(X1,sK47(sK1,sK2,sK3,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl64_269])],[avatar_definition]) ).
fof(f7690,plain,
( ! [X0,X1] :
( in(sK51(sK1,sK2,sK3,X0,X1),cartesian_product2(sK3,X0))
| ~ in(X1,sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_269 ),
inference(avatar_component_clause,[],[f7689]) ).
fof(f7691,plain,
( spl64_269
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265 ),
inference(avatar_split_clause,[],[f7615,f7431,f1050,f673,f668,f663,f482,f477,f472,f7689]) ).
fof(f7700,plain,
( ! [X0,X1] :
( in(X0,cartesian_product2(sK3,X1))
| ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ in(X0,sK47(sK1,sK2,sK3,X1)) )
| ~ spl64_268
| ~ spl64_269 ),
inference(superposition,[],[f7690,f7676]) ).
fof(f7712,plain,
( ! [X0,X1] :
( in(X0,cartesian_product2(sK3,X1))
| ~ in(X0,sK47(sK1,sK2,sK3,X1)) )
| ~ spl64_268
| ~ spl64_269 ),
inference(duplicate_literal_removal,[],[f7700]) ).
fof(f7762,definition,
( spl64_272
<=> ! [X0,X1] :
( ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ sP57(sK1,X0,sK3,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl64_272])],[avatar_definition]) ).
fof(f7763,plain,
( ! [X0,X1] :
( ~ in(X0,sK47(sK1,sK2,sK3,X1))
| ~ sP57(sK1,X0,sK3,sK2) )
| ~ spl64_272 ),
inference(avatar_component_clause,[],[f7762]) ).
fof(f7764,plain,
( spl64_272
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265 ),
inference(avatar_split_clause,[],[f7607,f7431,f1050,f673,f668,f663,f482,f477,f472,f7762]) ).
fof(f7795,definition,
( spl64_273
<=> ! [X0,X1] :
( in(X0,cartesian_product2(sK3,X1))
| ~ in(X0,sK47(sK1,sK2,sK3,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl64_273])],[avatar_definition]) ).
fof(f7796,plain,
( ! [X0,X1] :
( ~ in(X0,sK47(sK1,sK2,sK3,X1))
| in(X0,cartesian_product2(sK3,X1)) )
| ~ spl64_273 ),
inference(avatar_component_clause,[],[f7795]) ).
fof(f7797,plain,
( spl64_273
| ~ spl64_268
| ~ spl64_269 ),
inference(avatar_split_clause,[],[f7712,f7689,f7675,f7795]) ).
fof(f7893,definition,
( spl64_276
<=> ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| sK52(sK1,sK2,sK3,X0) = topstr_closure(sK1,sK7(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)))
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) ) ),
introduced(definition,[new_symbols(definition,[spl64_276])],[avatar_definition]) ).
fof(f7894,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| sK52(sK1,sK2,sK3,X0) = topstr_closure(sK1,sK7(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)))
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_276 ),
inference(avatar_component_clause,[],[f7893]) ).
fof(f7895,plain,
( spl64_276
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_11
| spl64_265
| ~ spl64_267 ),
inference(avatar_split_clause,[],[f7672,f7621,f7431,f1340,f1050,f673,f668,f663,f482,f477,f472,f7893]) ).
fof(f7896,plain,
( ! [X0,X1] :
( ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| sK52(sK1,sK2,sK3,sK5(X0)) = topstr_closure(sK1,sK7(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))))
| in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK53(sK1,sK2,sK3,sK5(X0)))
| ~ in(sK5(X0),X0)
| ~ in(sK5(X0),sK47(sK1,sK2,sK3,X1)) )
| ~ spl64_276 ),
inference(equality_resolution,[],[f7894]) ).
fof(f7898,definition,
( spl64_277
<=> ! [X0,X1] :
( ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| sK52(sK1,sK2,sK3,sK5(X0)) = topstr_closure(sK1,sK7(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))))
| in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK53(sK1,sK2,sK3,sK5(X0)))
| ~ in(sK5(X0),X0)
| ~ in(sK5(X0),sK47(sK1,sK2,sK3,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl64_277])],[avatar_definition]) ).
fof(f7899,plain,
( ! [X0,X1] :
( sK52(sK1,sK2,sK3,sK5(X0)) = topstr_closure(sK1,sK7(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK53(sK1,sK2,sK3,sK5(X0)))
| ~ in(sK5(X0),X0)
| ~ in(sK5(X0),sK47(sK1,sK2,sK3,X1)) )
| ~ spl64_277 ),
inference(avatar_component_clause,[],[f7898]) ).
fof(f7900,plain,
( spl64_277
| ~ spl64_276 ),
inference(avatar_split_clause,[],[f7896,f7893,f7898]) ).
fof(f8234,definition,
( spl64_285
<=> ! [X0,X1] :
( in(X0,the_carrier(sK2))
| ~ in(X0,sK54(sK1,sK2,sK3,X1))
| ~ sP58(sK1,X1,sK3,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl64_285])],[avatar_definition]) ).
fof(f8235,plain,
( ! [X0,X1] :
( ~ in(X0,sK54(sK1,sK2,sK3,X1))
| in(X0,the_carrier(sK2))
| ~ sP58(sK1,X1,sK3,sK2) )
| ~ spl64_285 ),
inference(avatar_component_clause,[],[f8234]) ).
fof(f8236,plain,
( spl64_285
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265 ),
inference(avatar_split_clause,[],[f7606,f7431,f1050,f673,f668,f663,f482,f477,f472,f8234]) ).
fof(f8327,definition,
( spl64_288
<=> ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| netstr_induced_subset(sK7(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK1,sK2)
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) ) ),
introduced(definition,[new_symbols(definition,[spl64_288])],[avatar_definition]) ).
fof(f8328,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| netstr_induced_subset(sK7(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK1,sK2)
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_288 ),
inference(avatar_component_clause,[],[f8327]) ).
fof(f8329,plain,
( spl64_288
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_18
| spl64_265
| ~ spl64_267 ),
inference(avatar_split_clause,[],[f7668,f7621,f7431,f1422,f1050,f673,f668,f663,f482,f477,f472,f8327]) ).
fof(f8330,plain,
( ! [X0,X1] :
( ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| netstr_induced_subset(sK7(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK1,sK2)
| in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK53(sK1,sK2,sK3,sK5(X0)))
| ~ in(sK5(X0),X0)
| ~ in(sK5(X0),sK47(sK1,sK2,sK3,X1)) )
| ~ spl64_288 ),
inference(equality_resolution,[],[f8328]) ).
fof(f8332,definition,
( spl64_289
<=> ! [X0,X1] :
( ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| netstr_induced_subset(sK7(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK1,sK2)
| in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK53(sK1,sK2,sK3,sK5(X0)))
| ~ in(sK5(X0),X0)
| ~ in(sK5(X0),sK47(sK1,sK2,sK3,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl64_289])],[avatar_definition]) ).
fof(f8333,plain,
( ! [X0,X1] :
( in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK53(sK1,sK2,sK3,sK5(X0)))
| netstr_induced_subset(sK7(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK1,sK2)
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| ~ in(sK5(X0),X0)
| ~ in(sK5(X0),sK47(sK1,sK2,sK3,X1)) )
| ~ spl64_289 ),
inference(avatar_component_clause,[],[f8332]) ).
fof(f8334,plain,
( spl64_289
| ~ spl64_288 ),
inference(avatar_split_clause,[],[f8330,f8327,f8332]) ).
fof(f8454,definition,
( spl64_293
<=> ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) ) ),
introduced(definition,[new_symbols(definition,[spl64_293])],[avatar_definition]) ).
fof(f8455,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_293 ),
inference(avatar_component_clause,[],[f8454]) ).
fof(f8456,plain,
( spl64_293
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_13
| spl64_265
| ~ spl64_267 ),
inference(avatar_split_clause,[],[f7670,f7621,f7431,f1354,f1050,f673,f668,f663,f482,f477,f472,f8454]) ).
fof(f8457,plain,
( ! [X0,X1] :
( ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),the_carrier(sK2))
| in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK53(sK1,sK2,sK3,sK5(X0)))
| ~ in(sK5(X0),X0)
| ~ in(sK5(X0),sK47(sK1,sK2,sK3,X1)) )
| ~ spl64_293 ),
inference(equality_resolution,[],[f8455]) ).
fof(f8459,definition,
( spl64_294
<=> ! [X0,X1] :
( ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),the_carrier(sK2))
| in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK53(sK1,sK2,sK3,sK5(X0)))
| ~ in(sK5(X0),X0)
| ~ in(sK5(X0),sK47(sK1,sK2,sK3,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl64_294])],[avatar_definition]) ).
fof(f8460,plain,
( ! [X0,X1] :
( in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK53(sK1,sK2,sK3,sK5(X0)))
| in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),the_carrier(sK2))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| ~ in(sK5(X0),X0)
| ~ in(sK5(X0),sK47(sK1,sK2,sK3,X1)) )
| ~ spl64_294 ),
inference(avatar_component_clause,[],[f8459]) ).
fof(f8461,plain,
( spl64_294
| ~ spl64_293 ),
inference(avatar_split_clause,[],[f8457,f8454,f8459]) ).
fof(f8537,definition,
( spl64_296
<=> ! [X0,X1] :
( element(sK56(sK1,sK2,sK3,X0,X1),the_carrier(sK2))
| ~ in(X1,sK54(sK1,sK2,sK3,X0))
| ~ sP60(sK1,X0,sK3,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl64_296])],[avatar_definition]) ).
fof(f8538,plain,
( ! [X0,X1] :
( element(sK56(sK1,sK2,sK3,X0,X1),the_carrier(sK2))
| ~ in(X1,sK54(sK1,sK2,sK3,X0))
| ~ sP60(sK1,X0,sK3,sK2) )
| ~ spl64_296 ),
inference(avatar_component_clause,[],[f8537]) ).
fof(f8539,plain,
( spl64_296
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265 ),
inference(avatar_split_clause,[],[f7604,f7431,f1050,f673,f668,f663,f482,f477,f472,f8537]) ).
fof(f8591,definition,
( spl64_297
<=> ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| element(sK8(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) ) ),
introduced(definition,[new_symbols(definition,[spl64_297])],[avatar_definition]) ).
fof(f8592,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| element(sK8(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_297 ),
inference(avatar_component_clause,[],[f8591]) ).
fof(f8593,plain,
( spl64_297
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_15
| spl64_265
| ~ spl64_267 ),
inference(avatar_split_clause,[],[f7669,f7621,f7431,f1373,f1050,f673,f668,f663,f482,f477,f472,f8591]) ).
fof(f8594,plain,
( ! [X0,X1] :
( ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| element(sK8(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),the_carrier(sK2))
| in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK53(sK1,sK2,sK3,sK5(X0)))
| ~ in(sK5(X0),X0)
| ~ in(sK5(X0),sK47(sK1,sK2,sK3,X1)) )
| ~ spl64_297 ),
inference(equality_resolution,[],[f8592]) ).
fof(f8596,definition,
( spl64_298
<=> ! [X0,X1] :
( ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| element(sK8(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),the_carrier(sK2))
| in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK53(sK1,sK2,sK3,sK5(X0)))
| ~ in(sK5(X0),X0)
| ~ in(sK5(X0),sK47(sK1,sK2,sK3,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl64_298])],[avatar_definition]) ).
fof(f8597,plain,
( ! [X0,X1] :
( in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK53(sK1,sK2,sK3,sK5(X0)))
| element(sK8(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),the_carrier(sK2))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| ~ in(sK5(X0),X0)
| ~ in(sK5(X0),sK47(sK1,sK2,sK3,X1)) )
| ~ spl64_298 ),
inference(avatar_component_clause,[],[f8596]) ).
fof(f8598,plain,
( spl64_298
| ~ spl64_297 ),
inference(avatar_split_clause,[],[f8594,f8591,f8596]) ).
fof(f20702,definition,
( spl64_588
<=> ! [X4,X0,X3,X2,X1] :
( ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK5(X0),sK47(X3,X4,X1,X2))
| ~ in(sK9(X0),X1)
| sK48(X3,X4,sK9(X0),sK11(X0)) = sK50(X3,X4,sK9(X0),sK11(X0))
| in(sK48(X3,X4,sK9(X0),sK11(X0)),sK11(X0))
| sP0(X1,X4,X3)
| empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| empty_carrier(X4)
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| in(sK5(X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_588])],[avatar_definition]) ).
fof(f20703,plain,
( ! [X2,X3,X0,X1,X4] :
( sK48(X3,X4,sK9(X0),sK11(X0)) = sK50(X3,X4,sK9(X0),sK11(X0))
| in(sK5(X0),sK47(X3,X4,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK48(X3,X4,sK9(X0),sK11(X0)),sK11(X0))
| sP0(X1,X4,X3)
| empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| empty_carrier(X4)
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| in(sK5(X0),X0) )
| ~ spl64_588 ),
inference(avatar_component_clause,[],[f20702]) ).
fof(f20704,plain,
( spl64_588
| ~ spl64_24 ),
inference(avatar_split_clause,[],[f1583,f1571,f20702]) ).
fof(f21105,definition,
( spl64_595
<=> ! [X4,X0,X3,X2,X1] :
( ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK5(X0),sK47(X3,X4,X1,X2))
| ~ in(sK9(X0),X1)
| in(sK48(X3,X4,sK9(X0),sK11(X0)),the_carrier(X4))
| in(sK48(X3,X4,sK9(X0),sK11(X0)),sK11(X0))
| sP0(X1,X4,X3)
| empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| empty_carrier(X4)
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| in(sK5(X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_595])],[avatar_definition]) ).
fof(f21106,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK48(X3,X4,sK9(X0),sK11(X0)),sK11(X0))
| in(sK5(X0),sK47(X3,X4,X1,X2))
| ~ in(sK9(X0),X1)
| in(sK48(X3,X4,sK9(X0),sK11(X0)),the_carrier(X4))
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,X4,X3)
| empty_carrier(X3)
| ~ topological_space(X3)
| ~ top_str(X3)
| empty_carrier(X4)
| ~ transitive_relstr(X4)
| ~ directed_relstr(X4)
| ~ net_str(X4,X3)
| in(sK5(X0),X0) )
| ~ spl64_595 ),
inference(avatar_component_clause,[],[f21105]) ).
fof(f21107,plain,
( spl64_595
| ~ spl64_24 ),
inference(avatar_split_clause,[],[f1575,f1571,f21105]) ).
fof(f26736,definition,
( spl64_700
<=> ! [X5,X4,X0,X3,X2,X1] :
( sK12(X0,X2) != sK12(X1,sK48(sK1,sK2,sK9(X0),X3))
| in(ordered_pair(sK9(X0),X3),sK47(sK1,sK2,X4,X5))
| ~ in(ordered_pair(sK9(X0),X3),cartesian_product2(X4,X5))
| ~ in(sK9(X0),X4)
| ~ in(sK48(sK1,sK2,sK9(X0),X3),X3)
| sP0(X4,sK2,sK1)
| ~ in(sK48(sK1,sK2,sK9(X0),X3),sK11(X1))
| in(sK5(X1),X1)
| ~ in(X2,sK11(X0))
| in(sK5(X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_700])],[avatar_definition]) ).
fof(f26737,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK12(X0,X2) != sK12(X1,sK48(sK1,sK2,sK9(X0),X3))
| in(ordered_pair(sK9(X0),X3),sK47(sK1,sK2,X4,X5))
| ~ in(ordered_pair(sK9(X0),X3),cartesian_product2(X4,X5))
| ~ in(sK9(X0),X4)
| ~ in(sK48(sK1,sK2,sK9(X0),X3),X3)
| sP0(X4,sK2,sK1)
| ~ in(sK48(sK1,sK2,sK9(X0),X3),sK11(X1))
| in(sK5(X1),X1)
| ~ in(X2,sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_700 ),
inference(avatar_component_clause,[],[f26736]) ).
fof(f26738,plain,
( spl64_700
| ~ spl64_40
| ~ spl64_46
| ~ spl64_55 ),
inference(avatar_split_clause,[],[f2274,f2262,f2124,f1980,f26736]) ).
fof(f26754,plain,
( ! [X2,X3,X0,X1] :
( in(ordered_pair(sK9(X0),X1),sK47(sK1,sK2,X2,X3))
| ~ in(ordered_pair(sK9(X0),X1),cartesian_product2(X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK48(sK1,sK2,sK9(X0),X1),X1)
| sP0(X2,sK2,sK1)
| ~ in(sK48(sK1,sK2,sK9(X0),X1),sK11(X0))
| in(sK5(X0),X0)
| ~ in(sK48(sK1,sK2,sK9(X0),X1),sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_700 ),
inference(equality_resolution,[],[f26737]) ).
fof(f26755,plain,
( ! [X2,X3,X0,X1] :
( in(ordered_pair(sK9(X0),X1),sK47(sK1,sK2,X2,X3))
| ~ in(ordered_pair(sK9(X0),X1),cartesian_product2(X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK48(sK1,sK2,sK9(X0),X1),X1)
| sP0(X2,sK2,sK1)
| ~ in(sK48(sK1,sK2,sK9(X0),X1),sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_700 ),
inference(duplicate_literal_removal,[],[f26754]) ).
fof(f26772,definition,
( spl64_701
<=> ! [X0,X3,X2,X1] :
( in(ordered_pair(sK9(X0),X1),sK47(sK1,sK2,X2,X3))
| ~ in(ordered_pair(sK9(X0),X1),cartesian_product2(X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK48(sK1,sK2,sK9(X0),X1),X1)
| sP0(X2,sK2,sK1)
| ~ in(sK48(sK1,sK2,sK9(X0),X1),sK11(X0))
| in(sK5(X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_701])],[avatar_definition]) ).
fof(f26773,plain,
( ! [X2,X3,X0,X1] :
( in(ordered_pair(sK9(X0),X1),sK47(sK1,sK2,X2,X3))
| ~ in(ordered_pair(sK9(X0),X1),cartesian_product2(X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK48(sK1,sK2,sK9(X0),X1),X1)
| sP0(X2,sK2,sK1)
| ~ in(sK48(sK1,sK2,sK9(X0),X1),sK11(X0))
| in(sK5(X0),X0) )
| ~ spl64_701 ),
inference(avatar_component_clause,[],[f26772]) ).
fof(f26774,plain,
( spl64_701
| ~ spl64_700 ),
inference(avatar_split_clause,[],[f26755,f26736,f26772]) ).
fof(f26815,plain,
( ! [X2,X0,X1] :
( in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK48(sK1,sK2,sK9(X0),sK11(X0)),sK11(X0))
| sP0(X1,sK2,sK1)
| ~ in(sK48(sK1,sK2,sK9(X0),sK11(X0)),sK11(X0))
| in(sK5(X0),X0)
| in(sK5(X0),X0) )
| ~ spl64_24
| ~ spl64_701 ),
inference(superposition,[],[f26773,f1572]) ).
fof(f26816,plain,
( ! [X2,X0,X1] :
( in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK48(sK1,sK2,sK9(X0),sK11(X0)),sK11(X0))
| sP0(X1,sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_24
| ~ spl64_701 ),
inference(duplicate_literal_removal,[],[f26815]) ).
fof(f27233,definition,
( spl64_710
<=> ! [X2,X0,X1] :
( in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK48(sK1,sK2,sK9(X0),sK11(X0)),sK11(X0))
| sP0(X1,sK2,sK1)
| in(sK5(X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_710])],[avatar_definition]) ).
fof(f27234,plain,
( ! [X2,X0,X1] :
( ~ in(sK48(sK1,sK2,sK9(X0),sK11(X0)),sK11(X0))
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| ~ in(sK9(X0),X1)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_710 ),
inference(avatar_component_clause,[],[f27233]) ).
fof(f27235,plain,
( spl64_710
| ~ spl64_24
| ~ spl64_701 ),
inference(avatar_split_clause,[],[f26816,f26772,f1571,f27233]) ).
fof(f71073,definition,
( spl64_1232
<=> sP62(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl64_1232])],[avatar_definition]) ).
fof(f71074,plain,
( ~ sP62(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| spl64_1232 ),
inference(avatar_component_clause,[],[f71073]) ).
fof(f71075,plain,
( sP62(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_1232 ),
inference(avatar_component_clause,[],[f71073]) ).
fof(f71081,plain,
( ! [X0] :
( sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),X0) = X0
| ~ in(X0,sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| sP0(sK3,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_1232 ),
inference(resolution,[],[f71075,f453]) ).
fof(f71082,plain,
( ! [X0] :
( sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),X0) = X0
| ~ in(X0,sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| spl64_265
| ~ spl64_1232 ),
inference(forward_subsumption_resolution,[],[f71081,f7432]) ).
fof(f71083,plain,
( ! [X0] :
( sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),X0) = X0
| ~ in(X0,sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| spl64_7
| spl64_265
| ~ spl64_1232 ),
inference(forward_subsumption_resolution,[],[f71082,f675]) ).
fof(f71084,plain,
( ! [X0] :
( sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),X0) = X0
| ~ in(X0,sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_3
| spl64_7
| spl64_265
| ~ spl64_1232 ),
inference(forward_subsumption_resolution,[],[f71083,f479]) ).
fof(f71085,plain,
( ! [X0] :
( sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),X0) = X0
| ~ in(X0,sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_7
| spl64_265
| ~ spl64_1232 ),
inference(forward_subsumption_resolution,[],[f71084,f474]) ).
fof(f71086,plain,
( ! [X0] :
( sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),X0) = X0
| ~ in(X0,sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| spl64_265
| ~ spl64_1232 ),
inference(forward_subsumption_resolution,[],[f71085,f484]) ).
fof(f71087,plain,
( ! [X0] :
( sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),X0) = X0
| ~ in(X0,sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| spl64_265
| ~ spl64_1232 ),
inference(forward_subsumption_resolution,[],[f71086,f670]) ).
fof(f71088,plain,
( ! [X0] :
( sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),X0) = X0
| ~ in(X0,sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| spl64_265
| ~ spl64_1232 ),
inference(forward_subsumption_resolution,[],[f71087,f665]) ).
fof(f71089,plain,
( ! [X0] :
( sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),X0) = X0
| ~ in(X0,sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1232 ),
inference(forward_subsumption_resolution,[],[f71088,f1052]) ).
fof(f71091,definition,
( spl64_1234
<=> ! [X0] :
( sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),X0) = X0
| ~ in(X0,sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) ) ),
introduced(definition,[new_symbols(definition,[spl64_1234])],[avatar_definition]) ).
fof(f71092,plain,
( ! [X0] :
( sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),X0) = X0
| ~ in(X0,sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) )
| ~ spl64_1234 ),
inference(avatar_component_clause,[],[f71091]) ).
fof(f71093,plain,
( spl64_1234
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1232 ),
inference(avatar_split_clause,[],[f71089,f71073,f7431,f1050,f673,f668,f663,f482,f477,f472,f71091]) ).
fof(f71127,plain,
( ! [X0] : ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0))
| spl64_1232 ),
inference(resolution,[],[f71074,f452]) ).
fof(f71129,definition,
( spl64_1235
<=> ! [X0] : ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) ),
introduced(definition,[new_symbols(definition,[spl64_1235])],[avatar_definition]) ).
fof(f71130,plain,
( ! [X0] : ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0))
| ~ spl64_1235 ),
inference(avatar_component_clause,[],[f71129]) ).
fof(f71131,plain,
( spl64_1235
| spl64_1232 ),
inference(avatar_split_clause,[],[f71127,f71073,f71129]) ).
fof(f71133,plain,
( ! [X0] :
( element(X0,the_carrier(sK2))
| ~ in(X0,sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ sP60(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ in(X0,sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) )
| ~ spl64_296
| ~ spl64_1234 ),
inference(superposition,[],[f8538,f71092]) ).
fof(f71154,plain,
( ! [X0] :
( element(X0,the_carrier(sK2))
| ~ in(X0,sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ sP60(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2) )
| ~ spl64_296
| ~ spl64_1234 ),
inference(duplicate_literal_removal,[],[f71133]) ).
fof(f71191,definition,
( spl64_1238
<=> in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl64_1238])],[avatar_definition]) ).
fof(f71192,plain,
( ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| spl64_1238 ),
inference(avatar_component_clause,[],[f71191]) ).
fof(f71193,plain,
( in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ spl64_1238 ),
inference(avatar_component_clause,[],[f71191]) ).
fof(f82469,definition,
( spl64_1368
<=> ! [X5,X4,X0,X3,X2,X1] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,X1)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,X0,X1))) != relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X2,X3),X4))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X2,X3),X4))))
| sK5(X5) != ordered_pair(sK52(sK1,X0,X2,X3),X4)
| ~ in(sK52(sK1,X0,X2,X3),sK3)
| ~ in(sK6(sK52(sK1,X0,X2,X3),X4),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,X1)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,X0,X1))),sK1,sK2)
| ~ element(sK6(sK52(sK1,X0,X2,X3),X4),the_carrier(sK2))
| ~ in(sK5(X5),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,X0,X2,X3),X4),X4)
| ~ in(sK5(X5),X5)
| ~ in(X1,sK54(sK1,X0,X2,X3))
| sP0(X2,X0,sK1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK1)
| ~ sP61(sK1,X3,X2,X0)
| ~ sP63(sK1,X3,X2,X0)
| ~ sP62(sK1,X3,X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_1368])],[avatar_definition]) ).
fof(f82470,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,X1)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,X0,X1))) != relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X2,X3),X4))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,X0,X2,X3),X4))))
| sK5(X5) != ordered_pair(sK52(sK1,X0,X2,X3),X4)
| ~ in(sK52(sK1,X0,X2,X3),sK3)
| ~ in(sK6(sK52(sK1,X0,X2,X3),X4),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,X0,X1)),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,X0,X1))),sK1,sK2)
| ~ element(sK6(sK52(sK1,X0,X2,X3),X4),the_carrier(sK2))
| ~ in(sK5(X5),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,X0,X2,X3),X4),X4)
| ~ in(sK5(X5),X5)
| ~ in(X1,sK54(sK1,X0,X2,X3))
| sP0(X2,X0,sK1)
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK1)
| ~ sP61(sK1,X3,X2,X0)
| ~ sP63(sK1,X3,X2,X0)
| ~ sP62(sK1,X3,X2,X0) )
| ~ spl64_1368 ),
inference(avatar_component_clause,[],[f82469]) ).
fof(f82471,plain,
( spl64_1368
| ~ spl64_74
| ~ spl64_207 ),
inference(avatar_split_clause,[],[f5983,f5902,f2714,f82469]) ).
fof(f82530,plain,
( ! [X2,X3,X0,X1] :
( sK5(X0) != ordered_pair(sK52(sK1,sK2,X1,X2),X3)
| ~ in(sK52(sK1,sK2,X1,X2),sK3)
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,X1,X2),X3))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,X1,X2),X3)))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,X1,X2),X3),the_carrier(sK2))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),X3)
| ~ in(sK5(X0),X0)
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),sK54(sK1,sK2,X1,X2))
| sP0(X1,sK2,sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP61(sK1,X2,X1,sK2)
| ~ sP63(sK1,X2,X1,sK2)
| ~ sP62(sK1,X2,X1,sK2) )
| ~ spl64_1368 ),
inference(equality_resolution,[],[f82470]) ).
fof(f82549,plain,
( ! [X2,X3,X0,X1] :
( sK5(X0) != ordered_pair(sK52(sK1,sK2,X1,X2),X3)
| ~ in(sK52(sK1,sK2,X1,X2),sK3)
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,X1,X2),X3))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,X1,X2),X3)))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,X1,X2),X3),the_carrier(sK2))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),X3)
| ~ in(sK5(X0),X0)
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),sK54(sK1,sK2,X1,X2))
| sP0(X1,sK2,sK1)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP61(sK1,X2,X1,sK2)
| ~ sP63(sK1,X2,X1,sK2)
| ~ sP62(sK1,X2,X1,sK2) )
| spl64_4
| ~ spl64_1368 ),
inference(forward_subsumption_resolution,[],[f82530,f484]) ).
fof(f82596,plain,
( ! [X2,X3,X0,X1] :
( sK5(X0) != ordered_pair(sK52(sK1,sK2,X1,X2),X3)
| ~ in(sK52(sK1,sK2,X1,X2),sK3)
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,X1,X2),X3))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,X1,X2),X3)))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,X1,X2),X3),the_carrier(sK2))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),X3)
| ~ in(sK5(X0),X0)
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),sK54(sK1,sK2,X1,X2))
| sP0(X1,sK2,sK1)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP61(sK1,X2,X1,sK2)
| ~ sP63(sK1,X2,X1,sK2)
| ~ sP62(sK1,X2,X1,sK2) )
| spl64_4
| ~ spl64_6
| ~ spl64_1368 ),
inference(forward_subsumption_resolution,[],[f82549,f670]) ).
fof(f82636,plain,
( ! [X2,X3,X0,X1] :
( sK5(X0) != ordered_pair(sK52(sK1,sK2,X1,X2),X3)
| ~ in(sK52(sK1,sK2,X1,X2),sK3)
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,X1,X2),X3))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,X1,X2),X3)))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,X1,X2),X3),the_carrier(sK2))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),X3)
| ~ in(sK5(X0),X0)
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),sK54(sK1,sK2,X1,X2))
| sP0(X1,sK2,sK1)
| ~ net_str(sK2,sK1)
| ~ sP61(sK1,X2,X1,sK2)
| ~ sP63(sK1,X2,X1,sK2)
| ~ sP62(sK1,X2,X1,sK2) )
| spl64_4
| ~ spl64_5
| ~ spl64_6
| ~ spl64_1368 ),
inference(forward_subsumption_resolution,[],[f82596,f665]) ).
fof(f82675,plain,
( ! [X2,X3,X0,X1] :
( sK5(X0) != ordered_pair(sK52(sK1,sK2,X1,X2),X3)
| ~ in(sK52(sK1,sK2,X1,X2),sK3)
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,X1,X2),X3))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,X1,X2),X3)))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,X1,X2),X3),the_carrier(sK2))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),X3)
| ~ in(sK5(X0),X0)
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),sK54(sK1,sK2,X1,X2))
| sP0(X1,sK2,sK1)
| ~ sP61(sK1,X2,X1,sK2)
| ~ sP63(sK1,X2,X1,sK2)
| ~ sP62(sK1,X2,X1,sK2) )
| spl64_4
| ~ spl64_5
| ~ spl64_6
| ~ spl64_9
| ~ spl64_1368 ),
inference(forward_subsumption_resolution,[],[f82636,f1052]) ).
fof(f82741,definition,
( spl64_1369
<=> ! [X0,X3,X2,X1] :
( sK5(X0) != ordered_pair(sK52(sK1,sK2,X1,X2),X3)
| ~ in(sK52(sK1,sK2,X1,X2),sK3)
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,X1,X2),X3))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,X1,X2),X3)))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,X1,X2),X3),the_carrier(sK2))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),X3)
| ~ in(sK5(X0),X0)
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),sK54(sK1,sK2,X1,X2))
| sP0(X1,sK2,sK1)
| ~ sP61(sK1,X2,X1,sK2)
| ~ sP63(sK1,X2,X1,sK2)
| ~ sP62(sK1,X2,X1,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl64_1369])],[avatar_definition]) ).
fof(f82742,plain,
( ! [X2,X3,X0,X1] :
( sK5(X0) != ordered_pair(sK52(sK1,sK2,X1,X2),X3)
| ~ in(sK52(sK1,sK2,X1,X2),sK3)
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,X1,X2),X3))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,X1,X2),X3)))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,X1,X2),X3),the_carrier(sK2))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),X3)
| ~ in(sK5(X0),X0)
| ~ in(sK6(sK52(sK1,sK2,X1,X2),X3),sK54(sK1,sK2,X1,X2))
| sP0(X1,sK2,sK1)
| ~ sP61(sK1,X2,X1,sK2)
| ~ sP63(sK1,X2,X1,sK2)
| ~ sP62(sK1,X2,X1,sK2) )
| ~ spl64_1369 ),
inference(avatar_component_clause,[],[f82741]) ).
fof(f82743,plain,
( spl64_1369
| spl64_4
| ~ spl64_5
| ~ spl64_6
| ~ spl64_9
| ~ spl64_1368 ),
inference(avatar_split_clause,[],[f82675,f82469,f1050,f668,f663,f482,f82741]) ).
fof(f82762,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK52(sK1,sK2,sK3,X0),sK3)
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0))))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK54(sK1,sK2,sK3,X0))
| sP0(sK3,sK2,sK1)
| ~ sP61(sK1,X0,sK3,sK2)
| ~ sP63(sK1,X0,sK3,sK2)
| ~ sP62(sK1,X0,sK3,sK2)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_267
| ~ spl64_1369 ),
inference(superposition,[],[f82742,f7622]) ).
fof(f82838,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK52(sK1,sK2,sK3,X0),sK3)
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0))))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK54(sK1,sK2,sK3,X0))
| sP0(sK3,sK2,sK1)
| ~ sP63(sK1,X0,sK3,sK2)
| ~ sP62(sK1,X0,sK3,sK2)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_267
| ~ spl64_1369 ),
inference(forward_subsumption_resolution,[],[f82762,f450]) ).
fof(f82866,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK52(sK1,sK2,sK3,X0),sK3)
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0))))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK54(sK1,sK2,sK3,X0))
| sP0(sK3,sK2,sK1)
| ~ sP62(sK1,X0,sK3,sK2)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_267
| ~ spl64_1369 ),
inference(forward_subsumption_resolution,[],[f82838,f454]) ).
fof(f82894,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK52(sK1,sK2,sK3,X0),sK3)
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0))))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK54(sK1,sK2,sK3,X0))
| sP0(sK3,sK2,sK1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_267
| ~ spl64_1369 ),
inference(forward_subsumption_resolution,[],[f82866,f452]) ).
fof(f82921,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0))))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK54(sK1,sK2,sK3,X0))
| sP0(sK3,sK2,sK1)
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_41
| ~ spl64_267
| ~ spl64_1369 ),
inference(forward_subsumption_resolution,[],[f82894,f2000]) ).
fof(f82929,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0))))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK54(sK1,sK2,sK3,X0))
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_41
| spl64_265
| ~ spl64_267
| ~ spl64_1369 ),
inference(forward_subsumption_resolution,[],[f82921,f7432]) ).
fof(f83108,definition,
( spl64_1376
<=> ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0))))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK54(sK1,sK2,sK3,X0))
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) ) ),
introduced(definition,[new_symbols(definition,[spl64_1376])],[avatar_definition]) ).
fof(f83109,plain,
( ! [X2,X0,X1] :
( sK5(X1) != X0
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0))))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),the_carrier(sK2))
| ~ in(sK5(X1),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK53(sK1,sK2,sK3,X0))
| ~ in(sK5(X1),X1)
| ~ in(sK6(sK52(sK1,sK2,sK3,X0),sK53(sK1,sK2,sK3,X0)),sK54(sK1,sK2,sK3,X0))
| ~ in(X0,sK47(sK1,sK2,sK3,X2)) )
| ~ spl64_1376 ),
inference(avatar_component_clause,[],[f83108]) ).
fof(f83110,plain,
( spl64_1376
| ~ spl64_41
| spl64_265
| ~ spl64_267
| ~ spl64_1369 ),
inference(avatar_split_clause,[],[f82929,f82741,f7621,f7431,f1999,f83108]) ).
fof(f83111,plain,
( ! [X0,X1] :
( ~ in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0)))))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),the_carrier(sK2))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK53(sK1,sK2,sK3,sK5(X0)))
| ~ in(sK5(X0),X0)
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK54(sK1,sK2,sK3,sK5(X0)))
| ~ in(sK5(X0),sK47(sK1,sK2,sK3,X1)) )
| ~ spl64_1376 ),
inference(equality_resolution,[],[f83109]) ).
fof(f83113,definition,
( spl64_1377
<=> ! [X0,X1] :
( ~ in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0)))))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),the_carrier(sK2))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK53(sK1,sK2,sK3,sK5(X0)))
| ~ in(sK5(X0),X0)
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK54(sK1,sK2,sK3,sK5(X0)))
| ~ in(sK5(X0),sK47(sK1,sK2,sK3,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl64_1377])],[avatar_definition]) ).
fof(f83114,plain,
( ! [X0,X1] :
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0)))))),sK1,sK2)
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),the_carrier(sK2))
| ~ element(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),the_carrier(sK2))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK53(sK1,sK2,sK3,sK5(X0)))
| ~ in(sK5(X0),X0)
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(X0)),sK53(sK1,sK2,sK3,sK5(X0))),sK54(sK1,sK2,sK3,sK5(X0)))
| ~ in(sK5(X0),sK47(sK1,sK2,sK3,X1)) )
| ~ spl64_1377 ),
inference(avatar_component_clause,[],[f83113]) ).
fof(f83115,plain,
( spl64_1377
| ~ spl64_1376 ),
inference(avatar_split_clause,[],[f83111,f83108,f83113]) ).
fof(f88236,definition,
( spl64_1461
<=> ! [X5,X4,X0,X3,X2,X1] :
( sK9(X0) != sK9(X1)
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X4,X5))
| ~ in(sK9(X0),X4)
| ~ in(sK5(X0),cartesian_product2(X4,X5))
| sP0(X4,sK2,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl64_1461])],[avatar_definition]) ).
fof(f88237,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK9(X0) != sK9(X1)
| ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X1))
| in(sK5(X1),X1)
| in(sK5(X0),sK47(sK1,sK2,X2,X3))
| ~ in(sK9(X0),X2)
| ~ in(sK5(X0),cartesian_product2(X2,X3))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X2,sK2,sK1)
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X4,X5))
| ~ in(sK9(X0),X4)
| ~ in(sK5(X0),cartesian_product2(X4,X5))
| sP0(X4,sK2,sK1) )
| ~ spl64_1461 ),
inference(avatar_component_clause,[],[f88236]) ).
fof(f88238,plain,
( spl64_1461
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_210
| ~ spl64_228 ),
inference(avatar_split_clause,[],[f6635,f6614,f6031,f1050,f673,f668,f663,f482,f477,f472,f88236]) ).
fof(f88259,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X0))
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X1,sK2,sK1)
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1) )
| ~ spl64_1461 ),
inference(equality_resolution,[],[f88237]) ).
fof(f88260,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X0))
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1) )
| ~ spl64_1461 ),
inference(duplicate_literal_removal,[],[f88259]) ).
fof(f88282,definition,
( spl64_1462
<=> ! [X4,X0,X3,X2,X1] :
( ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X0))
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl64_1462])],[avatar_definition]) ).
fof(f88283,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK50(sK1,sK2,sK9(X0),sK10(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK10(X0)),sK11(X0))
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK48(sK1,sK2,sK9(X0),sK10(X0)),sK10(X0))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1) )
| ~ spl64_1462 ),
inference(avatar_component_clause,[],[f88282]) ).
fof(f88284,plain,
( spl64_1462
| ~ spl64_1461 ),
inference(avatar_split_clause,[],[f88260,f88236,f88282]) ).
fof(f88298,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK50(sK1,sK2,sK9(X0),sK11(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK11(X0)),sK11(X0))
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK48(sK1,sK2,sK9(X0),sK11(X0)),sK11(X0))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_23
| ~ spl64_1462 ),
inference(superposition,[],[f88283,f1566]) ).
fof(f88325,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK50(sK1,sK2,sK9(X0),sK11(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK11(X0)),sK11(X0))
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| in(sK48(sK1,sK2,sK9(X0),sK11(X0)),sK11(X0))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1) )
| ~ spl64_23
| ~ spl64_1462 ),
inference(duplicate_literal_removal,[],[f88298]) ).
fof(f88349,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK50(sK1,sK2,sK9(X0),sK11(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK11(X0)),sK11(X0))
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1) )
| ~ spl64_23
| ~ spl64_710
| ~ spl64_1462 ),
inference(forward_subsumption_resolution,[],[f88325,f27234]) ).
fof(f88368,definition,
( spl64_1463
<=> ! [X4,X0,X3,X2,X1] :
( ~ in(sK50(sK1,sK2,sK9(X0),sK11(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK11(X0)),sK11(X0))
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl64_1463])],[avatar_definition]) ).
fof(f88369,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ in(sK50(sK1,sK2,sK9(X0),sK11(X0)),the_carrier(sK2))
| in(sK50(sK1,sK2,sK9(X0),sK11(X0)),sK11(X0))
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1) )
| ~ spl64_1463 ),
inference(avatar_component_clause,[],[f88368]) ).
fof(f88370,plain,
( spl64_1463
| ~ spl64_23
| ~ spl64_710
| ~ spl64_1462 ),
inference(avatar_split_clause,[],[f88349,f88282,f27233,f1565,f88368]) ).
fof(f88394,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ in(sK48(sK1,sK2,sK9(X0),sK11(X0)),the_carrier(sK2))
| in(sK48(sK1,sK2,sK9(X0),sK11(X0)),sK11(X0))
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X5,X6))
| ~ in(sK9(X0),X5)
| ~ in(sK5(X0),cartesian_product2(X5,X6))
| in(sK48(sK1,sK2,sK9(X0),sK11(X0)),sK11(X0))
| sP0(X5,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_588
| ~ spl64_1463 ),
inference(superposition,[],[f88369,f20703]) ).
fof(f88401,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ in(sK48(sK1,sK2,sK9(X0),sK11(X0)),the_carrier(sK2))
| in(sK48(sK1,sK2,sK9(X0),sK11(X0)),sK11(X0))
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X5,X6))
| ~ in(sK9(X0),X5)
| ~ in(sK5(X0),cartesian_product2(X5,X6))
| sP0(X5,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_588
| ~ spl64_1463 ),
inference(duplicate_literal_removal,[],[f88394]) ).
fof(f88424,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( in(sK48(sK1,sK2,sK9(X0),sK11(X0)),sK11(X0))
| in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X5,X6))
| ~ in(sK9(X0),X5)
| ~ in(sK5(X0),cartesian_product2(X5,X6))
| sP0(X5,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_588
| ~ spl64_595
| ~ spl64_1463 ),
inference(forward_subsumption_resolution,[],[f88401,f21106]) ).
fof(f88438,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X5,X6))
| ~ in(sK9(X0),X5)
| ~ in(sK5(X0),cartesian_product2(X5,X6))
| sP0(X5,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_588
| ~ spl64_595
| ~ spl64_710
| ~ spl64_1463 ),
inference(forward_subsumption_resolution,[],[f88424,f27234]) ).
fof(f88452,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X5,X6))
| ~ in(sK9(X0),X5)
| ~ in(sK5(X0),cartesian_product2(X5,X6))
| sP0(X5,sK2,sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| spl64_7
| ~ spl64_588
| ~ spl64_595
| ~ spl64_710
| ~ spl64_1463 ),
inference(forward_subsumption_resolution,[],[f88438,f675]) ).
fof(f88459,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X5,X6))
| ~ in(sK9(X0),X5)
| ~ in(sK5(X0),cartesian_product2(X5,X6))
| sP0(X5,sK2,sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_3
| spl64_7
| ~ spl64_588
| ~ spl64_595
| ~ spl64_710
| ~ spl64_1463 ),
inference(forward_subsumption_resolution,[],[f88452,f479]) ).
fof(f88460,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X5,X6))
| ~ in(sK9(X0),X5)
| ~ in(sK5(X0),cartesian_product2(X5,X6))
| sP0(X5,sK2,sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_7
| ~ spl64_588
| ~ spl64_595
| ~ spl64_710
| ~ spl64_1463 ),
inference(forward_subsumption_resolution,[],[f88459,f474]) ).
fof(f88461,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X5,X6))
| ~ in(sK9(X0),X5)
| ~ in(sK5(X0),cartesian_product2(X5,X6))
| sP0(X5,sK2,sK1)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| ~ spl64_588
| ~ spl64_595
| ~ spl64_710
| ~ spl64_1463 ),
inference(forward_subsumption_resolution,[],[f88460,f484]) ).
fof(f88462,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X5,X6))
| ~ in(sK9(X0),X5)
| ~ in(sK5(X0),cartesian_product2(X5,X6))
| sP0(X5,sK2,sK1)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| ~ spl64_588
| ~ spl64_595
| ~ spl64_710
| ~ spl64_1463 ),
inference(forward_subsumption_resolution,[],[f88461,f670]) ).
fof(f88463,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X5,X6))
| ~ in(sK9(X0),X5)
| ~ in(sK5(X0),cartesian_product2(X5,X6))
| sP0(X5,sK2,sK1)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_588
| ~ spl64_595
| ~ spl64_710
| ~ spl64_1463 ),
inference(forward_subsumption_resolution,[],[f88462,f665]) ).
fof(f88464,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X5,X6))
| ~ in(sK9(X0),X5)
| ~ in(sK5(X0),cartesian_product2(X5,X6))
| sP0(X5,sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_588
| ~ spl64_595
| ~ spl64_710
| ~ spl64_1463 ),
inference(forward_subsumption_resolution,[],[f88463,f1052]) ).
fof(f88466,definition,
( spl64_1464
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( in(sK5(X0),X0)
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X5,X6))
| ~ in(sK9(X0),X5)
| ~ in(sK5(X0),cartesian_product2(X5,X6))
| sP0(X5,sK2,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl64_1464])],[avatar_definition]) ).
fof(f88467,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( in(sK5(X0),sK47(sK1,sK2,X5,X6))
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| in(sK5(X0),X0)
| ~ in(sK9(X0),X5)
| ~ in(sK5(X0),cartesian_product2(X5,X6))
| sP0(X5,sK2,sK1) )
| ~ spl64_1464 ),
inference(avatar_component_clause,[],[f88466]) ).
fof(f88468,plain,
( spl64_1464
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_588
| ~ spl64_595
| ~ spl64_710
| ~ spl64_1463 ),
inference(avatar_split_clause,[],[f88464,f88368,f27233,f21105,f20702,f1050,f673,f668,f663,f482,f477,f472,f88466]) ).
fof(f88510,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK5(X0),sK47(sK1,sK2,X1,X2))
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),X0)
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1) )
| ~ spl64_1464 ),
inference(factoring,[],[f88467]) ).
fof(f88512,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK5(X0),sK47(sK1,sK2,X1,X2))
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_1464 ),
inference(duplicate_literal_removal,[],[f88510]) ).
fof(f88535,definition,
( spl64_1465
<=> ! [X4,X0,X3,X2,X1] :
( in(sK5(X0),sK47(sK1,sK2,X1,X2))
| in(sK5(X0),sK47(sK1,sK2,X3,X4))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_1465])],[avatar_definition]) ).
fof(f88536,plain,
( ! [X2,X3,X0,X1,X4] :
( in(sK5(X0),sK47(sK1,sK2,X3,X4))
| in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X3)
| ~ in(sK5(X0),cartesian_product2(X3,X4))
| sP0(X3,sK2,sK1)
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_1465 ),
inference(avatar_component_clause,[],[f88535]) ).
fof(f88537,plain,
( spl64_1465
| ~ spl64_1464 ),
inference(avatar_split_clause,[],[f88512,f88466,f88535]) ).
fof(f88578,plain,
( ! [X2,X0,X1] :
( in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_1465 ),
inference(factoring,[],[f88536]) ).
fof(f88580,plain,
( ! [X2,X0,X1] :
( in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_1465 ),
inference(duplicate_literal_removal,[],[f88578]) ).
fof(f88602,definition,
( spl64_1466
<=> ! [X2,X0,X1] :
( in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl64_1466])],[avatar_definition]) ).
fof(f88603,plain,
( ! [X2,X0,X1] :
( in(sK5(X0),sK47(sK1,sK2,X1,X2))
| ~ in(sK9(X0),X1)
| ~ in(sK5(X0),cartesian_product2(X1,X2))
| sP0(X1,sK2,sK1)
| in(sK5(X0),X0) )
| ~ spl64_1466 ),
inference(avatar_component_clause,[],[f88602]) ).
fof(f88604,plain,
( spl64_1466
| ~ spl64_1465 ),
inference(avatar_split_clause,[],[f88580,f88535,f88602]) ).
fof(f88645,plain,
( ! [X0,X1] :
( in(sK5(sK47(sK1,sK2,X0,X1)),sK47(sK1,sK2,X0,X1))
| ~ in(sK9(sK47(sK1,sK2,X0,X1)),X0)
| ~ in(sK5(sK47(sK1,sK2,X0,X1)),cartesian_product2(X0,X1))
| sP0(X0,sK2,sK1) )
| ~ spl64_1466 ),
inference(factoring,[],[f88603]) ).
fof(f90338,definition,
( spl64_1486
<=> ! [X0,X1] :
( in(sK5(sK47(sK1,sK2,X0,X1)),sK47(sK1,sK2,X0,X1))
| ~ in(sK9(sK47(sK1,sK2,X0,X1)),X0)
| ~ in(sK5(sK47(sK1,sK2,X0,X1)),cartesian_product2(X0,X1))
| sP0(X0,sK2,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl64_1486])],[avatar_definition]) ).
fof(f90339,plain,
( ! [X0,X1] :
( in(sK5(sK47(sK1,sK2,X0,X1)),sK47(sK1,sK2,X0,X1))
| ~ in(sK9(sK47(sK1,sK2,X0,X1)),X0)
| ~ in(sK5(sK47(sK1,sK2,X0,X1)),cartesian_product2(X0,X1))
| sP0(X0,sK2,sK1) )
| ~ spl64_1486 ),
inference(avatar_component_clause,[],[f90338]) ).
fof(f90340,plain,
( spl64_1486
| ~ spl64_1466 ),
inference(avatar_split_clause,[],[f88645,f88602,f90338]) ).
fof(f90368,plain,
( ! [X0,X1] :
( ~ in(sK9(sK47(sK1,sK2,X0,X1)),X0)
| ~ in(sK5(sK47(sK1,sK2,X0,X1)),cartesian_product2(X0,X1))
| sP0(X0,sK2,sK1)
| sP59(sK1,sK5(sK47(sK1,sK2,X0,X1)),X0,sK2) )
| ~ spl64_1486 ),
inference(resolution,[],[f90339,f446]) ).
fof(f94021,definition,
( spl64_1521
<=> ! [X0,X1] :
( ~ in(sK9(sK47(sK1,sK2,X0,X1)),X0)
| ~ in(sK5(sK47(sK1,sK2,X0,X1)),cartesian_product2(X0,X1))
| sP0(X0,sK2,sK1)
| sP59(sK1,sK5(sK47(sK1,sK2,X0,X1)),X0,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl64_1521])],[avatar_definition]) ).
fof(f94022,plain,
( ! [X0,X1] :
( ~ in(sK5(sK47(sK1,sK2,X0,X1)),cartesian_product2(X0,X1))
| ~ in(sK9(sK47(sK1,sK2,X0,X1)),X0)
| sP0(X0,sK2,sK1)
| sP59(sK1,sK5(sK47(sK1,sK2,X0,X1)),X0,sK2) )
| ~ spl64_1521 ),
inference(avatar_component_clause,[],[f94021]) ).
fof(f94023,plain,
( spl64_1521
| ~ spl64_1486 ),
inference(avatar_split_clause,[],[f90368,f90338,f94021]) ).
fof(f94024,plain,
( ~ in(sK9(sK47(sK1,sK2,sK3,sK4)),sK3)
| sP0(sK3,sK2,sK1)
| sP59(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ spl64_10
| ~ spl64_1521 ),
inference(resolution,[],[f94022,f1328]) ).
fof(f94025,plain,
( sP0(sK3,sK2,sK1)
| sP59(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ spl64_10
| ~ spl64_14
| ~ spl64_1521 ),
inference(forward_subsumption_resolution,[],[f94024,f1362]) ).
fof(f94026,plain,
( sP59(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ spl64_10
| ~ spl64_14
| spl64_265
| ~ spl64_1521 ),
inference(forward_subsumption_resolution,[],[f94025,f7432]) ).
fof(f94027,plain,
( sP59(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_10
| ~ spl64_14
| spl64_265
| ~ spl64_1521 ),
inference(forward_subsumption_resolution,[],[f94026,f446]) ).
fof(f94029,definition,
( spl64_1522
<=> sP59(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl64_1522])],[avatar_definition]) ).
fof(f94031,plain,
( sP59(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_1522 ),
inference(avatar_component_clause,[],[f94029]) ).
fof(f94032,plain,
( spl64_1522
| ~ spl64_10
| ~ spl64_14
| spl64_265
| ~ spl64_1521 ),
inference(avatar_split_clause,[],[f94027,f94021,f7431,f1361,f1327,f94029]) ).
fof(f94528,definition,
( spl64_1528
<=> in(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK3) ),
introduced(definition,[new_symbols(definition,[spl64_1528])],[avatar_definition]) ).
fof(f94529,plain,
( in(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK3)
| ~ spl64_1528 ),
inference(avatar_component_clause,[],[f94528]) ).
fof(f94530,plain,
( ~ in(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK3)
| spl64_1528 ),
inference(avatar_component_clause,[],[f94528]) ).
fof(f94541,plain,
( ! [X0] :
( ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0))
| sP0(sK3,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| spl64_1528 ),
inference(resolution,[],[f94530,f391]) ).
fof(f94550,plain,
( ! [X0] :
( ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0))
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| spl64_265
| spl64_1528 ),
inference(forward_subsumption_resolution,[],[f94541,f7432]) ).
fof(f94557,plain,
( ! [X0] :
( ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| spl64_7
| spl64_265
| spl64_1528 ),
inference(forward_subsumption_resolution,[],[f94550,f675]) ).
fof(f94562,plain,
( ! [X0] :
( ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0))
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_3
| spl64_7
| spl64_265
| spl64_1528 ),
inference(forward_subsumption_resolution,[],[f94557,f479]) ).
fof(f94563,plain,
( ! [X0] :
( ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0))
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_7
| spl64_265
| spl64_1528 ),
inference(forward_subsumption_resolution,[],[f94562,f474]) ).
fof(f94564,plain,
( ! [X0] :
( ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0))
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| spl64_265
| spl64_1528 ),
inference(forward_subsumption_resolution,[],[f94563,f484]) ).
fof(f94565,plain,
( ! [X0] :
( ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0))
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| spl64_265
| spl64_1528 ),
inference(forward_subsumption_resolution,[],[f94564,f670]) ).
fof(f94566,plain,
( ! [X0] :
( ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0))
| ~ net_str(sK2,sK1) )
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| spl64_265
| spl64_1528 ),
inference(forward_subsumption_resolution,[],[f94565,f665]) ).
fof(f94567,plain,
( ! [X0] : ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0))
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| spl64_1528 ),
inference(forward_subsumption_resolution,[],[f94566,f1052]) ).
fof(f94572,definition,
( spl64_1530
<=> ! [X0] : ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),cartesian_product2(sK3,X0)) ),
introduced(definition,[new_symbols(definition,[spl64_1530])],[avatar_definition]) ).
fof(f94573,plain,
( ! [X0] : ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),cartesian_product2(sK3,X0))
| ~ spl64_1530 ),
inference(avatar_component_clause,[],[f94572]) ).
fof(f94720,plain,
( spl64_1235
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| spl64_1528 ),
inference(avatar_split_clause,[],[f94567,f94528,f7431,f1050,f673,f668,f663,f482,f477,f472,f71129]) ).
fof(f94721,plain,
( in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ spl64_10
| ~ spl64_1530 ),
inference(resolution,[],[f94573,f1328]) ).
fof(f94722,plain,
( $false
| ~ spl64_10
| ~ spl64_1235
| ~ spl64_1530 ),
inference(forward_subsumption_resolution,[],[f94721,f71130]) ).
fof(f94723,plain,
( ~ spl64_10
| ~ spl64_1235
| ~ spl64_1530 ),
inference(avatar_contradiction_clause,[],[f94722]) ).
fof(f94747,plain,
( ! [X0] :
( ~ in(sK9(sK47(sK1,sK2,sK3,sK4)),sK3)
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),cartesian_product2(sK3,X0))
| sP0(sK3,sK2,sK1)
| in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4)) )
| ~ spl64_1235
| ~ spl64_1466 ),
inference(resolution,[],[f71130,f88603]) ).
fof(f94753,plain,
( ! [X0] :
( ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),cartesian_product2(sK3,X0))
| sP0(sK3,sK2,sK1)
| in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4)) )
| ~ spl64_14
| ~ spl64_1235
| ~ spl64_1466 ),
inference(forward_subsumption_resolution,[],[f94747,f1362]) ).
fof(f94754,plain,
( ! [X0] :
( ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),cartesian_product2(sK3,X0))
| in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4)) )
| ~ spl64_14
| spl64_265
| ~ spl64_1235
| ~ spl64_1466 ),
inference(forward_subsumption_resolution,[],[f94753,f7432]) ).
fof(f94755,plain,
( ! [X0] : ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),cartesian_product2(sK3,X0))
| ~ spl64_14
| spl64_265
| ~ spl64_1235
| ~ spl64_1466 ),
inference(forward_subsumption_resolution,[],[f94754,f71130]) ).
fof(f94765,plain,
( spl64_1530
| ~ spl64_14
| spl64_265
| ~ spl64_1235
| ~ spl64_1466 ),
inference(avatar_split_clause,[],[f94755,f88602,f71129,f7431,f1361,f94572]) ).
fof(f94769,plain,
( ~ sP57(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_272
| ~ spl64_1238 ),
inference(resolution,[],[f71193,f7763]) ).
fof(f94783,plain,
( sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))
| sP0(sK3,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ spl64_1238 ),
inference(resolution,[],[f71193,f390]) ).
fof(f94785,plain,
( sK5(sK47(sK1,sK2,sK3,sK4)) = ordered_pair(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| sP0(sK3,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ spl64_1238 ),
inference(resolution,[],[f71193,f392]) ).
fof(f94789,plain,
( sP58(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_1238 ),
inference(resolution,[],[f71193,f444]) ).
fof(f94791,plain,
( sP60(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_1238 ),
inference(resolution,[],[f71193,f448]) ).
fof(f94794,plain,
( sP63(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_1238 ),
inference(resolution,[],[f71193,f454]) ).
fof(f94841,plain,
( ! [X0] :
( element(X0,the_carrier(sK2))
| ~ in(X0,sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) )
| ~ spl64_296
| ~ spl64_1234
| ~ spl64_1238 ),
inference(backward_subsumption_resolution,[],[f71154,f94791]) ).
fof(f94845,plain,
( sK5(sK47(sK1,sK2,sK3,sK4)) = ordered_pair(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| spl64_265
| ~ spl64_1238 ),
inference(forward_subsumption_resolution,[],[f94785,f7432]) ).
fof(f94846,plain,
( sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| spl64_265
| ~ spl64_1238 ),
inference(forward_subsumption_resolution,[],[f94783,f7432]) ).
fof(f94859,plain,
( sK5(sK47(sK1,sK2,sK3,sK4)) = ordered_pair(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| spl64_7
| spl64_265
| ~ spl64_1238 ),
inference(forward_subsumption_resolution,[],[f94845,f675]) ).
fof(f94860,plain,
( sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| spl64_7
| spl64_265
| ~ spl64_1238 ),
inference(forward_subsumption_resolution,[],[f94846,f675]) ).
fof(f94867,plain,
( sK5(sK47(sK1,sK2,sK3,sK4)) = ordered_pair(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ spl64_3
| spl64_7
| spl64_265
| ~ spl64_1238 ),
inference(forward_subsumption_resolution,[],[f94859,f479]) ).
fof(f94868,plain,
( sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ spl64_3
| spl64_7
| spl64_265
| ~ spl64_1238 ),
inference(forward_subsumption_resolution,[],[f94860,f479]) ).
fof(f94873,plain,
( sK5(sK47(sK1,sK2,sK3,sK4)) = ordered_pair(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ spl64_2
| ~ spl64_3
| spl64_7
| spl64_265
| ~ spl64_1238 ),
inference(forward_subsumption_resolution,[],[f94867,f474]) ).
fof(f94874,plain,
( sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ spl64_2
| ~ spl64_3
| spl64_7
| spl64_265
| ~ spl64_1238 ),
inference(forward_subsumption_resolution,[],[f94868,f474]) ).
fof(f94879,plain,
( sK5(sK47(sK1,sK2,sK3,sK4)) = ordered_pair(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| spl64_265
| ~ spl64_1238 ),
inference(forward_subsumption_resolution,[],[f94873,f484]) ).
fof(f94880,plain,
( sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| spl64_265
| ~ spl64_1238 ),
inference(forward_subsumption_resolution,[],[f94874,f484]) ).
fof(f94885,plain,
( sK5(sK47(sK1,sK2,sK3,sK4)) = ordered_pair(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| spl64_265
| ~ spl64_1238 ),
inference(forward_subsumption_resolution,[],[f94879,f670]) ).
fof(f94886,plain,
( sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| spl64_265
| ~ spl64_1238 ),
inference(forward_subsumption_resolution,[],[f94880,f670]) ).
fof(f94893,plain,
( sK5(sK47(sK1,sK2,sK3,sK4)) = ordered_pair(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ net_str(sK2,sK1)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| spl64_265
| ~ spl64_1238 ),
inference(forward_subsumption_resolution,[],[f94885,f665]) ).
fof(f94894,plain,
( sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))
| ~ net_str(sK2,sK1)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| spl64_265
| ~ spl64_1238 ),
inference(forward_subsumption_resolution,[],[f94886,f665]) ).
fof(f94897,plain,
( sK5(sK47(sK1,sK2,sK3,sK4)) = ordered_pair(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1238 ),
inference(forward_subsumption_resolution,[],[f94893,f1052]) ).
fof(f94898,plain,
( sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1238 ),
inference(forward_subsumption_resolution,[],[f94894,f1052]) ).
fof(f94900,definition,
( spl64_1534
<=> sK5(sK47(sK1,sK2,sK3,sK4)) = ordered_pair(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) ),
introduced(definition,[new_symbols(definition,[spl64_1534])],[avatar_definition]) ).
fof(f94902,plain,
( sK5(sK47(sK1,sK2,sK3,sK4)) = ordered_pair(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ spl64_1534 ),
inference(avatar_component_clause,[],[f94900]) ).
fof(f94903,plain,
( spl64_1534
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1238 ),
inference(avatar_split_clause,[],[f94897,f71191,f7431,f1050,f673,f668,f663,f482,f477,f472,f94900]) ).
fof(f94904,plain,
( sK5(sK47(sK1,sK2,sK3,sK4)) = ordered_pair(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1238
| ~ spl64_1534 ),
inference(forward_demodulation,[],[f94902,f94898]) ).
fof(f94927,definition,
( spl64_1536
<=> sK5(sK47(sK1,sK2,sK3,sK4)) = ordered_pair(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) ),
introduced(definition,[new_symbols(definition,[spl64_1536])],[avatar_definition]) ).
fof(f94929,plain,
( sK5(sK47(sK1,sK2,sK3,sK4)) = ordered_pair(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ spl64_1536 ),
inference(avatar_component_clause,[],[f94927]) ).
fof(f94930,plain,
( spl64_1536
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1238
| ~ spl64_1534 ),
inference(avatar_split_clause,[],[f94904,f94900,f71191,f7431,f1050,f673,f668,f663,f482,f477,f472,f94927]) ).
fof(f94948,plain,
( ! [X0] :
( sK5(X0) != sK5(sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| ~ in(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK3)
| sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = sK8(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ in(sK5(X0),X0) )
| ~ spl64_8
| ~ spl64_1536 ),
inference(superposition,[],[f1044,f94929]) ).
fof(f94950,plain,
( ! [X0] :
( sK5(X0) != sK5(sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| ~ in(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK3)
| sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK8(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK8(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))))
| in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ in(sK5(X0),X0) )
| ~ spl64_12
| ~ spl64_1536 ),
inference(superposition,[],[f1348,f94929]) ).
fof(f95050,plain,
( ! [X0] :
( sK5(X0) != sK5(sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK8(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK8(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))))
| in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ in(sK5(X0),X0) )
| ~ spl64_12
| ~ spl64_1528
| ~ spl64_1536 ),
inference(forward_subsumption_resolution,[],[f94950,f94529]) ).
fof(f95052,plain,
( ! [X0] :
( sK5(X0) != sK5(sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = sK8(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ in(sK5(X0),X0) )
| ~ spl64_8
| ~ spl64_1528
| ~ spl64_1536 ),
inference(forward_subsumption_resolution,[],[f94948,f94529]) ).
fof(f95097,definition,
( spl64_1538
<=> sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl64_1538])],[avatar_definition]) ).
fof(f95099,plain,
( sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = sK53(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))
| ~ spl64_1538 ),
inference(avatar_component_clause,[],[f95097]) ).
fof(f95100,plain,
( spl64_1538
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1238 ),
inference(avatar_split_clause,[],[f94898,f71191,f7431,f1050,f673,f668,f663,f482,f477,f472,f95097]) ).
fof(f95107,plain,
( ! [X0] :
( sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = topstr_closure(sK1,sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),cartesian_product2(sK3,sK4))
| in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_277
| ~ spl64_1538 ),
inference(superposition,[],[f7899,f95099]) ).
fof(f95109,plain,
( ! [X0] :
( in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| netstr_induced_subset(sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK1,sK2)
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),cartesian_product2(sK3,sK4))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_289
| ~ spl64_1538 ),
inference(superposition,[],[f8333,f95099]) ).
fof(f95111,plain,
( ! [X0] :
( in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),cartesian_product2(sK3,sK4))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_294
| ~ spl64_1538 ),
inference(superposition,[],[f8460,f95099]) ).
fof(f95112,plain,
( ! [X0] :
( in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| element(sK8(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),cartesian_product2(sK3,sK4))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_298
| ~ spl64_1538 ),
inference(superposition,[],[f8597,f95099]) ).
fof(f95155,plain,
( ! [X0] :
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),sK1,sK2)
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ element(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_1377
| ~ spl64_1538 ),
inference(superposition,[],[f83114,f95099]) ).
fof(f95323,plain,
( ! [X0] :
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),sK1,sK2)
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ element(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_1377
| ~ spl64_1538 ),
inference(duplicate_literal_removal,[],[f95155]) ).
fof(f95421,plain,
( ! [X0] :
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),sK1,sK2)
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),cartesian_product2(sK3,sK4))
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_296
| ~ spl64_1234
| ~ spl64_1238
| ~ spl64_1377
| ~ spl64_1538 ),
inference(forward_subsumption_resolution,[],[f95323,f94841]) ).
fof(f95463,plain,
( ! [X0] :
( in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| element(sK8(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_298
| ~ spl64_1538 ),
inference(forward_subsumption_resolution,[],[f95112,f7796]) ).
fof(f95464,plain,
( ! [X0] :
( in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_294
| ~ spl64_1538 ),
inference(forward_subsumption_resolution,[],[f95111,f7796]) ).
fof(f95466,plain,
( ! [X0] :
( in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| netstr_induced_subset(sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK1,sK2)
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_289
| ~ spl64_1538 ),
inference(forward_subsumption_resolution,[],[f95109,f7796]) ).
fof(f95468,plain,
( ! [X0] :
( sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = topstr_closure(sK1,sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_277
| ~ spl64_1538 ),
inference(forward_subsumption_resolution,[],[f95107,f7796]) ).
fof(f95557,plain,
( ! [X0] :
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),sK1,sK2)
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_296
| ~ spl64_1234
| ~ spl64_1238
| ~ spl64_1377
| ~ spl64_1538 ),
inference(forward_subsumption_resolution,[],[f95421,f7796]) ).
fof(f95599,plain,
( ! [X0] :
( in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| element(sK8(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_298
| ~ spl64_1238
| ~ spl64_1538 ),
inference(forward_subsumption_resolution,[],[f95463,f71193]) ).
fof(f95600,plain,
( ! [X0] :
( in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_294
| ~ spl64_1238
| ~ spl64_1538 ),
inference(forward_subsumption_resolution,[],[f95464,f71193]) ).
fof(f95602,plain,
( ! [X0] :
( in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| netstr_induced_subset(sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK1,sK2)
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_289
| ~ spl64_1238
| ~ spl64_1538 ),
inference(forward_subsumption_resolution,[],[f95466,f71193]) ).
fof(f95604,plain,
( ! [X0] :
( sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = topstr_closure(sK1,sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_277
| ~ spl64_1238
| ~ spl64_1538 ),
inference(forward_subsumption_resolution,[],[f95468,f71193]) ).
fof(f95682,plain,
( ! [X0] :
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),sK1,sK2)
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_296
| ~ spl64_1234
| ~ spl64_1238
| ~ spl64_1377
| ~ spl64_1538 ),
inference(forward_subsumption_resolution,[],[f95557,f71193]) ).
fof(f95752,definition,
( spl64_1540
<=> sP63(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl64_1540])],[avatar_definition]) ).
fof(f95754,plain,
( sP63(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_1540 ),
inference(avatar_component_clause,[],[f95752]) ).
fof(f95755,plain,
( spl64_1540
| ~ spl64_1238 ),
inference(avatar_split_clause,[],[f94794,f71191,f95752]) ).
fof(f95766,definition,
( spl64_1541
<=> sP58(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl64_1541])],[avatar_definition]) ).
fof(f95768,plain,
( sP58(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_1541 ),
inference(avatar_component_clause,[],[f95766]) ).
fof(f95769,plain,
( spl64_1541
| ~ spl64_1238 ),
inference(avatar_split_clause,[],[f94789,f71191,f95766]) ).
fof(f95780,definition,
( spl64_1542
<=> in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) ),
introduced(definition,[new_symbols(definition,[spl64_1542])],[avatar_definition]) ).
fof(f95781,plain,
( ~ in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| spl64_1542 ),
inference(avatar_component_clause,[],[f95780]) ).
fof(f95782,plain,
( in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ spl64_1542 ),
inference(avatar_component_clause,[],[f95780]) ).
fof(f95784,definition,
( spl64_1543
<=> sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = sK8(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) ),
introduced(definition,[new_symbols(definition,[spl64_1543])],[avatar_definition]) ).
fof(f95786,plain,
( sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = sK8(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ spl64_1543 ),
inference(avatar_component_clause,[],[f95784]) ).
fof(f95788,definition,
( spl64_1544
<=> ! [X0] :
( sK5(X0) != sK5(sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(X0),X0)
| ~ in(sK5(X0),cartesian_product2(sK3,sK4)) ) ),
introduced(definition,[new_symbols(definition,[spl64_1544])],[avatar_definition]) ).
fof(f95789,plain,
( ! [X0] :
( sK5(X0) != sK5(sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(X0),X0)
| ~ in(sK5(X0),cartesian_product2(sK3,sK4)) )
| ~ spl64_1544 ),
inference(avatar_component_clause,[],[f95788]) ).
fof(f95790,plain,
( spl64_1542
| spl64_1543
| spl64_1544
| ~ spl64_8
| ~ spl64_1528
| ~ spl64_1536 ),
inference(avatar_split_clause,[],[f95052,f94927,f94528,f1043,f95788,f95784,f95780]) ).
fof(f95791,plain,
( ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),cartesian_product2(sK3,sK4))
| ~ spl64_1544 ),
inference(equality_resolution,[],[f95789]) ).
fof(f95792,plain,
( ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ spl64_273
| ~ spl64_1544 ),
inference(forward_subsumption_resolution,[],[f95791,f7796]) ).
fof(f95793,plain,
( $false
| ~ spl64_273
| ~ spl64_1238
| ~ spl64_1544 ),
inference(forward_subsumption_resolution,[],[f95792,f71193]) ).
fof(f95794,plain,
( ~ spl64_273
| ~ spl64_1238
| ~ spl64_1544 ),
inference(avatar_contradiction_clause,[],[f95793]) ).
fof(f95795,plain,
( ! [X0] :
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),sK1,sK2)
| ~ in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_296
| ~ spl64_1234
| ~ spl64_1238
| ~ spl64_1377
| ~ spl64_1538
| ~ spl64_1542 ),
inference(backward_subsumption_resolution,[],[f95682,f95782]) ).
fof(f95809,plain,
( in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ sP58(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_285
| ~ spl64_1542 ),
inference(resolution,[],[f95782,f8235]) ).
fof(f95819,plain,
( netstr_induced_subset(sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))),sK1,sK2)
| sP0(sK3,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP59(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_1542 ),
inference(resolution,[],[f95782,f447]) ).
fof(f95822,plain,
( sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| sP0(sK3,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP62(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_1542 ),
inference(resolution,[],[f95782,f453]) ).
fof(f95823,plain,
( sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| sP0(sK3,sK2,sK1)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP63(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_1542 ),
inference(resolution,[],[f95782,f455]) ).
fof(f95840,plain,
( sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP63(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95823,f7432]) ).
fof(f95841,plain,
( sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP62(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95822,f7432]) ).
fof(f95844,plain,
( netstr_induced_subset(sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))),sK1,sK2)
| empty_carrier(sK1)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP59(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95819,f7432]) ).
fof(f95854,plain,
( in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ spl64_285
| ~ spl64_1541
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95809,f95768]) ).
fof(f95863,plain,
( sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP63(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95840,f675]) ).
fof(f95864,plain,
( sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP62(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95841,f675]) ).
fof(f95867,plain,
( netstr_induced_subset(sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))),sK1,sK2)
| ~ topological_space(sK1)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP59(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95844,f675]) ).
fof(f95878,plain,
( ! [X0] :
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),sK1,sK2)
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_285
| ~ spl64_296
| ~ spl64_1234
| ~ spl64_1238
| ~ spl64_1377
| ~ spl64_1538
| ~ spl64_1541
| ~ spl64_1542 ),
inference(backward_subsumption_resolution,[],[f95795,f95854]) ).
fof(f95884,plain,
( sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP63(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_3
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95863,f479]) ).
fof(f95885,plain,
( sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP62(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_3
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95864,f479]) ).
fof(f95888,plain,
( netstr_induced_subset(sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))),sK1,sK2)
| ~ top_str(sK1)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP59(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_3
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95867,f479]) ).
fof(f95896,plain,
( sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP63(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_2
| ~ spl64_3
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95884,f474]) ).
fof(f95897,plain,
( sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP62(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_2
| ~ spl64_3
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95885,f474]) ).
fof(f95900,plain,
( netstr_induced_subset(sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))),sK1,sK2)
| empty_carrier(sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP59(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_2
| ~ spl64_3
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95888,f474]) ).
fof(f95903,plain,
( sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP63(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95896,f484]) ).
fof(f95904,plain,
( sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP62(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95897,f484]) ).
fof(f95907,plain,
( netstr_induced_subset(sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))),sK1,sK2)
| ~ transitive_relstr(sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP59(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95900,f484]) ).
fof(f95908,plain,
( sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP63(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95903,f670]) ).
fof(f95909,plain,
( sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP62(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95904,f670]) ).
fof(f95912,plain,
( netstr_induced_subset(sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))),sK1,sK2)
| ~ directed_relstr(sK2)
| ~ net_str(sK2,sK1)
| ~ sP59(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_6
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95907,f670]) ).
fof(f95913,plain,
( sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| ~ net_str(sK2,sK1)
| ~ sP63(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95908,f665]) ).
fof(f95914,plain,
( sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| ~ net_str(sK2,sK1)
| ~ sP62(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95909,f665]) ).
fof(f95917,plain,
( netstr_induced_subset(sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))),sK1,sK2)
| ~ net_str(sK2,sK1)
| ~ sP59(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95912,f665]) ).
fof(f95918,plain,
( sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| ~ sP63(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95913,f1052]) ).
fof(f95919,plain,
( sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| ~ sP62(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95914,f1052]) ).
fof(f95922,plain,
( netstr_induced_subset(sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))),sK1,sK2)
| ~ sP59(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95917,f1052]) ).
fof(f95923,plain,
( sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1540
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95918,f95754]) ).
fof(f95924,plain,
( sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1232
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95919,f71075]) ).
fof(f95927,plain,
( netstr_induced_subset(sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))),sK1,sK2)
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1522
| ~ spl64_1542 ),
inference(forward_subsumption_resolution,[],[f95922,f94031]) ).
fof(f95930,definition,
( spl64_1545
<=> netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl64_1545])],[avatar_definition]) ).
fof(f95932,plain,
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),sK1,sK2)
| spl64_1545 ),
inference(avatar_component_clause,[],[f95930]) ).
fof(f95933,plain,
( spl64_1235
| ~ spl64_1545
| ~ spl64_273
| ~ spl64_285
| ~ spl64_296
| ~ spl64_1234
| ~ spl64_1238
| ~ spl64_1377
| ~ spl64_1538
| ~ spl64_1541
| ~ spl64_1542 ),
inference(avatar_split_clause,[],[f95878,f95780,f95766,f95097,f83113,f71191,f71091,f8537,f8234,f7795,f95930,f71129]) ).
fof(f95971,definition,
( spl64_1546
<=> sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))))) ),
introduced(definition,[new_symbols(definition,[spl64_1546])],[avatar_definition]) ).
fof(f95973,plain,
( sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK56(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| ~ spl64_1546 ),
inference(avatar_component_clause,[],[f95971]) ).
fof(f95974,plain,
( spl64_1546
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1540
| ~ spl64_1542 ),
inference(avatar_split_clause,[],[f95923,f95780,f95752,f7431,f1050,f673,f668,f663,f482,f477,f472,f95971]) ).
fof(f95975,plain,
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))) = sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1232
| ~ spl64_1542
| ~ spl64_1546 ),
inference(forward_demodulation,[],[f95973,f95924]) ).
fof(f96015,definition,
( spl64_1548
<=> netstr_induced_subset(sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))),sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl64_1548])],[avatar_definition]) ).
fof(f96017,plain,
( netstr_induced_subset(sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))),sK1,sK2)
| ~ spl64_1548 ),
inference(avatar_component_clause,[],[f96015]) ).
fof(f96018,plain,
( spl64_1548
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1522
| ~ spl64_1542 ),
inference(avatar_split_clause,[],[f95927,f95780,f94029,f7431,f1050,f673,f668,f663,f482,f477,f472,f96015]) ).
fof(f96238,definition,
( spl64_1551
<=> element(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_1551])],[avatar_definition]) ).
fof(f96239,plain,
( ~ element(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| spl64_1551 ),
inference(avatar_component_clause,[],[f96238]) ).
fof(f96240,plain,
( element(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ spl64_1551 ),
inference(avatar_component_clause,[],[f96238]) ).
fof(f96306,definition,
( spl64_1552
<=> relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))) = sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))) ),
introduced(definition,[new_symbols(definition,[spl64_1552])],[avatar_definition]) ).
fof(f96308,plain,
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))) = sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| ~ spl64_1552 ),
inference(avatar_component_clause,[],[f96306]) ).
fof(f96309,plain,
( spl64_1552
| ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1232
| ~ spl64_1542
| ~ spl64_1546 ),
inference(avatar_split_clause,[],[f95975,f95971,f95780,f71073,f7431,f1050,f673,f668,f663,f482,f477,f472,f96306]) ).
fof(f96321,plain,
( ~ netstr_induced_subset(sK55(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)),sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))),sK1,sK2)
| spl64_1545
| ~ spl64_1552 ),
inference(superposition,[],[f95932,f96308]) ).
fof(f96582,plain,
( $false
| spl64_1545
| ~ spl64_1548
| ~ spl64_1552 ),
inference(forward_subsumption_resolution,[],[f96321,f96017]) ).
fof(f96583,plain,
( spl64_1545
| ~ spl64_1548
| ~ spl64_1552 ),
inference(avatar_contradiction_clause,[],[f96582]) ).
fof(f96922,plain,
( ! [X0] :
( sK5(X0) != sK5(sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) = relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK8(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK8(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))))
| ~ in(sK5(X0),X0) )
| ~ spl64_12
| ~ spl64_1528
| ~ spl64_1536
| spl64_1542 ),
inference(backward_subsumption_resolution,[],[f95050,f95781]) ).
fof(f96926,plain,
( ! [X0] :
( element(sK8(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_298
| ~ spl64_1238
| ~ spl64_1538
| spl64_1542 ),
inference(backward_subsumption_resolution,[],[f95599,f95781]) ).
fof(f96927,plain,
( ! [X0] :
( in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_294
| ~ spl64_1238
| ~ spl64_1538
| spl64_1542 ),
inference(backward_subsumption_resolution,[],[f95600,f95781]) ).
fof(f96929,plain,
( ! [X0] :
( netstr_induced_subset(sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK1,sK2)
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_289
| ~ spl64_1238
| ~ spl64_1538
| spl64_1542 ),
inference(backward_subsumption_resolution,[],[f95602,f95781]) ).
fof(f96931,plain,
( ! [X0] :
( sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = topstr_closure(sK1,sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_277
| ~ spl64_1238
| ~ spl64_1538
| spl64_1542 ),
inference(backward_subsumption_resolution,[],[f95604,f95781]) ).
fof(f96955,plain,
( ! [X0] :
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))) = sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| sK5(X0) != sK5(sK47(sK1,sK2,sK3,sK4))
| ~ in(sK5(X0),cartesian_product2(sK3,sK4))
| ~ in(sK5(X0),X0) )
| ~ spl64_12
| ~ spl64_1528
| ~ spl64_1536
| spl64_1542
| ~ spl64_1543 ),
inference(forward_demodulation,[],[f96922,f95786]) ).
fof(f96958,plain,
( ! [X0] :
( element(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0)) )
| ~ spl64_273
| ~ spl64_298
| ~ spl64_1238
| ~ spl64_1538
| spl64_1542
| ~ spl64_1543 ),
inference(forward_demodulation,[],[f96926,f95786]) ).
fof(f97020,plain,
( ~ in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) != topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| sP57(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| spl64_1542 ),
inference(resolution,[],[f95781,f442]) ).
fof(f97115,definition,
( spl64_1553
<=> netstr_induced_subset(sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl64_1553])],[avatar_definition]) ).
fof(f97117,plain,
( netstr_induced_subset(sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK1,sK2)
| ~ spl64_1553 ),
inference(avatar_component_clause,[],[f97115]) ).
fof(f97153,definition,
( spl64_1554
<=> sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = topstr_closure(sK1,sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))) ),
introduced(definition,[new_symbols(definition,[spl64_1554])],[avatar_definition]) ).
fof(f97155,plain,
( sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) = topstr_closure(sK1,sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| ~ spl64_1554 ),
inference(avatar_component_clause,[],[f97153]) ).
fof(f97324,definition,
( spl64_1555
<=> in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2)) ),
introduced(definition,[new_symbols(definition,[spl64_1555])],[avatar_definition]) ).
fof(f97326,plain,
( in(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| ~ spl64_1555 ),
inference(avatar_component_clause,[],[f97324]) ).
fof(f98008,plain,
( spl64_1235
| spl64_1555
| ~ spl64_273
| ~ spl64_294
| ~ spl64_1238
| ~ spl64_1538
| spl64_1542 ),
inference(avatar_split_clause,[],[f96927,f95780,f95097,f71191,f8459,f7795,f97324,f71129]) ).
fof(f98967,plain,
( spl64_1235
| spl64_1554
| ~ spl64_273
| ~ spl64_277
| ~ spl64_1238
| ~ spl64_1538
| spl64_1542 ),
inference(avatar_split_clause,[],[f96931,f95780,f95097,f71191,f7898,f7795,f97153,f71129]) ).
fof(f99147,plain,
( spl64_1235
| spl64_1553
| ~ spl64_273
| ~ spl64_289
| ~ spl64_1238
| ~ spl64_1538
| spl64_1542 ),
inference(avatar_split_clause,[],[f96929,f95780,f95097,f71191,f8332,f7795,f97115,f71129]) ).
fof(f101579,definition,
( spl64_1581
<=> sP57(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl64_1581])],[avatar_definition]) ).
fof(f101581,plain,
( ~ sP57(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| spl64_1581 ),
inference(avatar_component_clause,[],[f101579]) ).
fof(f101582,plain,
( ~ spl64_1581
| ~ spl64_272
| ~ spl64_1238 ),
inference(avatar_split_clause,[],[f94769,f71191,f7762,f101579]) ).
fof(f108801,plain,
( ! [X0] : ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,X0))
| ~ spl64_273
| ~ spl64_298
| ~ spl64_1238
| ~ spl64_1538
| spl64_1542
| ~ spl64_1543
| spl64_1551 ),
inference(forward_subsumption_resolution,[],[f96958,f96239]) ).
fof(f108833,plain,
( $false
| ~ spl64_273
| ~ spl64_298
| ~ spl64_1238
| ~ spl64_1538
| spl64_1542
| ~ spl64_1543
| spl64_1551 ),
inference(backward_subsumption_resolution,[],[f71193,f108801]) ).
fof(f108836,plain,
( ~ spl64_273
| ~ spl64_298
| ~ spl64_1238
| ~ spl64_1538
| spl64_1542
| ~ spl64_1543
| spl64_1551 ),
inference(avatar_contradiction_clause,[],[f108833]) ).
fof(f108854,plain,
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),sK1,sK2)
| ~ element(sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),the_carrier(sK2))
| sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) != topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| sP57(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| spl64_1542
| ~ spl64_1555 ),
inference(forward_subsumption_resolution,[],[f97020,f97326]) ).
fof(f109291,definition,
( spl64_1639
<=> relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))) = sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))) ),
introduced(definition,[new_symbols(definition,[spl64_1639])],[avatar_definition]) ).
fof(f109293,plain,
( relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))) = sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))
| ~ spl64_1639 ),
inference(avatar_component_clause,[],[f109291]) ).
fof(f109294,plain,
( spl64_1544
| spl64_1639
| ~ spl64_12
| ~ spl64_1528
| ~ spl64_1536
| spl64_1542
| ~ spl64_1543 ),
inference(avatar_split_clause,[],[f96955,f95784,f95780,f94927,f94528,f1347,f109291,f95788]) ).
fof(f109738,plain,
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),sK1,sK2)
| sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) != topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| sP57(sK1,sK5(sK47(sK1,sK2,sK3,sK4)),sK3,sK2)
| spl64_1542
| ~ spl64_1551
| ~ spl64_1555 ),
inference(forward_subsumption_resolution,[],[f108854,f96240]) ).
fof(f109741,plain,
( ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))),sK1,sK2)
| sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) != topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| spl64_1542
| ~ spl64_1551
| ~ spl64_1555
| spl64_1581 ),
inference(forward_subsumption_resolution,[],[f109738,f101581]) ).
fof(f109742,plain,
( ~ netstr_induced_subset(sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))),sK1,sK2)
| sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) != topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| spl64_1542
| ~ spl64_1551
| ~ spl64_1555
| spl64_1581
| ~ spl64_1639 ),
inference(forward_demodulation,[],[f109741,f109293]) ).
fof(f109743,plain,
( sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) != topstr_closure(sK1,relation_rng_as_subset(the_carrier(subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))),the_carrier(sK1),the_mapping(sK1,subnetstr_of_element(sK1,sK2,sK6(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))))))))
| spl64_1542
| ~ spl64_1551
| ~ spl64_1553
| ~ spl64_1555
| spl64_1581
| ~ spl64_1639 ),
inference(forward_subsumption_resolution,[],[f109742,f97117]) ).
fof(f109744,plain,
( sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))) != topstr_closure(sK1,sK7(sK52(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4))),sK54(sK1,sK2,sK3,sK5(sK47(sK1,sK2,sK3,sK4)))))
| spl64_1542
| ~ spl64_1551
| ~ spl64_1553
| ~ spl64_1555
| spl64_1581
| ~ spl64_1639 ),
inference(forward_demodulation,[],[f109743,f109293]) ).
fof(f109745,plain,
( $false
| spl64_1542
| ~ spl64_1551
| ~ spl64_1553
| ~ spl64_1554
| ~ spl64_1555
| spl64_1581
| ~ spl64_1639 ),
inference(forward_subsumption_resolution,[],[f109744,f97155]) ).
fof(f109746,plain,
( spl64_1542
| ~ spl64_1551
| ~ spl64_1553
| ~ spl64_1554
| ~ spl64_1555
| spl64_1581
| ~ spl64_1639 ),
inference(avatar_contradiction_clause,[],[f109745]) ).
fof(f110130,plain,
( ~ in(sK9(sK47(sK1,sK2,sK3,sK4)),sK3)
| ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),cartesian_product2(sK3,sK4))
| sP0(sK3,sK2,sK1)
| in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| spl64_1238
| ~ spl64_1466 ),
inference(resolution,[],[f71192,f88603]) ).
fof(f110136,plain,
( ~ in(sK5(sK47(sK1,sK2,sK3,sK4)),cartesian_product2(sK3,sK4))
| sP0(sK3,sK2,sK1)
| in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ spl64_14
| spl64_1238
| ~ spl64_1466 ),
inference(forward_subsumption_resolution,[],[f110130,f1362]) ).
fof(f110138,plain,
( sP0(sK3,sK2,sK1)
| in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ spl64_10
| ~ spl64_14
| spl64_1238
| ~ spl64_1466 ),
inference(forward_subsumption_resolution,[],[f110136,f1328]) ).
fof(f110139,plain,
( in(sK5(sK47(sK1,sK2,sK3,sK4)),sK47(sK1,sK2,sK3,sK4))
| ~ spl64_10
| ~ spl64_14
| spl64_265
| spl64_1238
| ~ spl64_1466 ),
inference(forward_subsumption_resolution,[],[f110138,f7432]) ).
fof(f110140,plain,
( $false
| ~ spl64_10
| ~ spl64_14
| spl64_265
| spl64_1238
| ~ spl64_1466 ),
inference(forward_subsumption_resolution,[],[f110139,f71192]) ).
fof(f110141,plain,
( ~ spl64_10
| ~ spl64_14
| spl64_265
| spl64_1238
| ~ spl64_1466 ),
inference(avatar_contradiction_clause,[],[f110140]) ).
cnf(s1,plain,
spl64_1,
inference(sat_conversion,[],[f459]) ).
cnf(s2,plain,
spl64_2,
inference(sat_conversion,[],[f475]) ).
cnf(s3,plain,
spl64_3,
inference(sat_conversion,[],[f480]) ).
cnf(s4,plain,
~ spl64_4,
inference(sat_conversion,[],[f485]) ).
cnf(s5,plain,
spl64_5,
inference(sat_conversion,[],[f666]) ).
cnf(s6,plain,
spl64_6,
inference(sat_conversion,[],[f671]) ).
cnf(s7,plain,
~ spl64_7,
inference(sat_conversion,[],[f676]) ).
cnf(s8,plain,
spl64_8,
inference(sat_conversion,[],[f1045]) ).
cnf(s9,plain,
spl64_9,
inference(sat_conversion,[],[f1053]) ).
cnf(s10,plain,
spl64_10,
inference(sat_conversion,[],[f1329]) ).
cnf(s11,plain,
spl64_11,
inference(sat_conversion,[],[f1342]) ).
cnf(s12,plain,
spl64_12,
inference(sat_conversion,[],[f1349]) ).
cnf(s13,plain,
spl64_13,
inference(sat_conversion,[],[f1356]) ).
cnf(s14,plain,
spl64_14,
inference(sat_conversion,[],[f1363]) ).
cnf(s15,plain,
spl64_15,
inference(sat_conversion,[],[f1375]) ).
cnf(s16,plain,
spl64_16,
inference(sat_conversion,[],[f1382]) ).
cnf(s17,plain,
spl64_17,
inference(sat_conversion,[],[f1411]) ).
cnf(s18,plain,
spl64_18,
inference(sat_conversion,[],[f1424]) ).
cnf(s19,plain,
spl64_19,
inference(sat_conversion,[],[f1431]) ).
cnf(s20,plain,
spl64_20,
inference(sat_conversion,[],[f1459]) ).
cnf(s23,plain,
spl64_23,
inference(sat_conversion,[],[f1567]) ).
cnf(s24,plain,
( ~ spl64_20
| ~ spl64_23
| spl64_24 ),
inference(sat_conversion,[],[f1573]) ).
cnf(s31,plain,
spl64_31,
inference(sat_conversion,[],[f1696]) ).
cnf(s33,plain,
spl64_33,
inference(sat_conversion,[],[f1744]) ).
cnf(s34,plain,
( ~ spl64_19
| ~ spl64_33
| spl64_34 ),
inference(sat_conversion,[],[f1752]) ).
cnf(s35,plain,
( ~ spl64_31
| ~ spl64_33
| spl64_35 ),
inference(sat_conversion,[],[f1756]) ).
cnf(s40,plain,
spl64_40,
inference(sat_conversion,[],[f1982]) ).
cnf(s41,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_41 ),
inference(sat_conversion,[],[f2001]) ).
cnf(s46,plain,
spl64_46,
inference(sat_conversion,[],[f2126]) ).
cnf(s55,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_17
| ~ spl64_34
| ~ spl64_35
| spl64_55 ),
inference(sat_conversion,[],[f2264]) ).
cnf(s74,plain,
( ~ spl64_1
| spl64_74 ),
inference(sat_conversion,[],[f2716]) ).
cnf(s80,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_80 ),
inference(sat_conversion,[],[f2893]) ).
cnf(s187,plain,
( ~ spl64_20
| spl64_192 ),
inference(sat_conversion,[],[f5511]) ).
cnf(s202,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_7
| ~ spl64_80
| spl64_207 ),
inference(sat_conversion,[],[f5904]) ).
cnf(s205,plain,
( ~ spl64_20
| spl64_210 ),
inference(sat_conversion,[],[f6033]) ).
cnf(s222,plain,
( ~ spl64_20
| spl64_227 ),
inference(sat_conversion,[],[f6514]) ).
cnf(s223,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_16
| ~ spl64_20
| ~ spl64_192
| ~ spl64_227
| spl64_228 ),
inference(sat_conversion,[],[f6616]) ).
cnf(s261,plain,
~ spl64_265,
inference(sat_conversion,[],[f7463]) ).
cnf(s262,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| spl64_267 ),
inference(sat_conversion,[],[f7623]) ).
cnf(s263,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| spl64_268 ),
inference(sat_conversion,[],[f7677]) ).
cnf(s264,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| spl64_269 ),
inference(sat_conversion,[],[f7691]) ).
cnf(s267,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| spl64_272 ),
inference(sat_conversion,[],[f7764]) ).
cnf(s268,plain,
( ~ spl64_268
| ~ spl64_269
| spl64_273 ),
inference(sat_conversion,[],[f7797]) ).
cnf(s271,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_11
| spl64_265
| ~ spl64_267
| spl64_276 ),
inference(sat_conversion,[],[f7895]) ).
cnf(s272,plain,
( ~ spl64_276
| spl64_277 ),
inference(sat_conversion,[],[f7900]) ).
cnf(s280,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| spl64_285 ),
inference(sat_conversion,[],[f8236]) ).
cnf(s283,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_18
| spl64_265
| ~ spl64_267
| spl64_288 ),
inference(sat_conversion,[],[f8329]) ).
cnf(s284,plain,
( ~ spl64_288
| spl64_289 ),
inference(sat_conversion,[],[f8334]) ).
cnf(s288,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_13
| spl64_265
| ~ spl64_267
| spl64_293 ),
inference(sat_conversion,[],[f8456]) ).
cnf(s289,plain,
( ~ spl64_293
| spl64_294 ),
inference(sat_conversion,[],[f8461]) ).
cnf(s291,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| spl64_296 ),
inference(sat_conversion,[],[f8539]) ).
cnf(s292,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_15
| spl64_265
| ~ spl64_267
| spl64_297 ),
inference(sat_conversion,[],[f8593]) ).
cnf(s293,plain,
( ~ spl64_297
| spl64_298 ),
inference(sat_conversion,[],[f8598]) ).
cnf(s583,plain,
( ~ spl64_24
| spl64_588 ),
inference(sat_conversion,[],[f20704]) ).
cnf(s590,plain,
( ~ spl64_24
| spl64_595 ),
inference(sat_conversion,[],[f21107]) ).
cnf(s695,plain,
( ~ spl64_40
| ~ spl64_46
| ~ spl64_55
| spl64_700 ),
inference(sat_conversion,[],[f26738]) ).
cnf(s696,plain,
( ~ spl64_700
| spl64_701 ),
inference(sat_conversion,[],[f26774]) ).
cnf(s705,plain,
( ~ spl64_24
| ~ spl64_701
| spl64_710 ),
inference(sat_conversion,[],[f27235]) ).
cnf(s1228,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1232
| spl64_1234 ),
inference(sat_conversion,[],[f71093]) ).
cnf(s1229,plain,
( spl64_1232
| spl64_1235 ),
inference(sat_conversion,[],[f71131]) ).
cnf(s1361,plain,
( ~ spl64_74
| ~ spl64_207
| spl64_1368 ),
inference(sat_conversion,[],[f82471]) ).
cnf(s1362,plain,
( spl64_4
| ~ spl64_5
| ~ spl64_6
| ~ spl64_9
| ~ spl64_1368
| spl64_1369 ),
inference(sat_conversion,[],[f82743]) ).
cnf(s1369,plain,
( ~ spl64_41
| spl64_265
| ~ spl64_267
| ~ spl64_1369
| spl64_1376 ),
inference(sat_conversion,[],[f83110]) ).
cnf(s1370,plain,
( ~ spl64_1376
| spl64_1377 ),
inference(sat_conversion,[],[f83115]) ).
cnf(s1454,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_210
| ~ spl64_228
| spl64_1461 ),
inference(sat_conversion,[],[f88238]) ).
cnf(s1455,plain,
( ~ spl64_1461
| spl64_1462 ),
inference(sat_conversion,[],[f88284]) ).
cnf(s1456,plain,
( ~ spl64_23
| ~ spl64_710
| ~ spl64_1462
| spl64_1463 ),
inference(sat_conversion,[],[f88370]) ).
cnf(s1457,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| ~ spl64_588
| ~ spl64_595
| ~ spl64_710
| ~ spl64_1463
| spl64_1464 ),
inference(sat_conversion,[],[f88468]) ).
cnf(s1458,plain,
( ~ spl64_1464
| spl64_1465 ),
inference(sat_conversion,[],[f88537]) ).
cnf(s1459,plain,
( ~ spl64_1465
| spl64_1466 ),
inference(sat_conversion,[],[f88604]) ).
cnf(s1479,plain,
( ~ spl64_1466
| spl64_1486 ),
inference(sat_conversion,[],[f90340]) ).
cnf(s1514,plain,
( ~ spl64_1486
| spl64_1521 ),
inference(sat_conversion,[],[f94023]) ).
cnf(s1515,plain,
( ~ spl64_10
| ~ spl64_14
| spl64_265
| ~ spl64_1521
| spl64_1522 ),
inference(sat_conversion,[],[f94032]) ).
cnf(s1525,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| spl64_1235
| spl64_1528 ),
inference(sat_conversion,[],[f94720]) ).
cnf(s1526,plain,
( ~ spl64_10
| ~ spl64_1235
| ~ spl64_1530 ),
inference(sat_conversion,[],[f94723]) ).
cnf(s1528,plain,
( ~ spl64_14
| spl64_265
| ~ spl64_1235
| ~ spl64_1466
| spl64_1530 ),
inference(sat_conversion,[],[f94765]) ).
cnf(s1534,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1238
| spl64_1534 ),
inference(sat_conversion,[],[f94903]) ).
cnf(s1536,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1238
| ~ spl64_1534
| spl64_1536 ),
inference(sat_conversion,[],[f94930]) ).
cnf(s1538,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1238
| spl64_1538 ),
inference(sat_conversion,[],[f95100]) ).
cnf(s1540,plain,
( ~ spl64_1238
| spl64_1540 ),
inference(sat_conversion,[],[f95755]) ).
cnf(s1541,plain,
( ~ spl64_1238
| spl64_1541 ),
inference(sat_conversion,[],[f95769]) ).
cnf(s1542,plain,
( ~ spl64_8
| ~ spl64_1528
| ~ spl64_1536
| spl64_1542
| spl64_1543
| spl64_1544 ),
inference(sat_conversion,[],[f95790]) ).
cnf(s1543,plain,
( ~ spl64_273
| ~ spl64_1238
| ~ spl64_1544 ),
inference(sat_conversion,[],[f95794]) ).
cnf(s1544,plain,
( ~ spl64_273
| ~ spl64_285
| ~ spl64_296
| ~ spl64_1234
| spl64_1235
| ~ spl64_1238
| ~ spl64_1377
| ~ spl64_1538
| ~ spl64_1541
| ~ spl64_1542
| ~ spl64_1545 ),
inference(sat_conversion,[],[f95933]) ).
cnf(s1545,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1540
| ~ spl64_1542
| spl64_1546 ),
inference(sat_conversion,[],[f95974]) ).
cnf(s1547,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1522
| ~ spl64_1542
| spl64_1548 ),
inference(sat_conversion,[],[f96018]) ).
cnf(s1551,plain,
( ~ spl64_2
| ~ spl64_3
| spl64_4
| ~ spl64_5
| ~ spl64_6
| spl64_7
| ~ spl64_9
| spl64_265
| ~ spl64_1232
| ~ spl64_1542
| ~ spl64_1546
| spl64_1552 ),
inference(sat_conversion,[],[f96309]) ).
cnf(s1552,plain,
( spl64_1545
| ~ spl64_1548
| ~ spl64_1552 ),
inference(sat_conversion,[],[f96583]) ).
cnf(s1563,plain,
( ~ spl64_273
| ~ spl64_294
| spl64_1235
| ~ spl64_1238
| ~ spl64_1538
| spl64_1542
| spl64_1555 ),
inference(sat_conversion,[],[f98008]) ).
cnf(s1567,plain,
( ~ spl64_273
| ~ spl64_277
| spl64_1235
| ~ spl64_1238
| ~ spl64_1538
| spl64_1542
| spl64_1554 ),
inference(sat_conversion,[],[f98967]) ).
cnf(s1572,plain,
( ~ spl64_273
| ~ spl64_289
| spl64_1235
| ~ spl64_1238
| ~ spl64_1538
| spl64_1542
| spl64_1553 ),
inference(sat_conversion,[],[f99147]) ).
cnf(s1584,plain,
( ~ spl64_272
| ~ spl64_1238
| ~ spl64_1581 ),
inference(sat_conversion,[],[f101582]) ).
cnf(s1643,plain,
( ~ spl64_273
| ~ spl64_298
| ~ spl64_1238
| ~ spl64_1538
| spl64_1542
| ~ spl64_1543
| spl64_1551 ),
inference(sat_conversion,[],[f108836]) ).
cnf(s1646,plain,
( ~ spl64_12
| ~ spl64_1528
| ~ spl64_1536
| spl64_1542
| ~ spl64_1543
| spl64_1544
| spl64_1639 ),
inference(sat_conversion,[],[f109294]) ).
cnf(s1650,plain,
( spl64_1542
| ~ spl64_1551
| ~ spl64_1553
| ~ spl64_1554
| ~ spl64_1555
| spl64_1581
| ~ spl64_1639 ),
inference(sat_conversion,[],[f109746]) ).
cnf(s1653,plain,
( ~ spl64_10
| ~ spl64_14
| spl64_265
| spl64_1238
| ~ spl64_1466 ),
inference(sat_conversion,[],[f110141]) ).
cnf(s1656,plain,
spl64_35,
inference(rat,[],[s35,s33,s31]) ).
cnf(s1660,plain,
spl64_227,
inference(rat,[],[s222,s20]) ).
cnf(s1661,plain,
spl64_210,
inference(rat,[],[s205,s20]) ).
cnf(s1663,plain,
spl64_192,
inference(rat,[],[s187,s20]) ).
cnf(s1665,plain,
spl64_24,
inference(rat,[],[s24,s23,s20]) ).
cnf(s1671,plain,
spl64_595,
inference(rat,[],[s590,s1665]) ).
cnf(s1672,plain,
spl64_588,
inference(rat,[],[s583,s1665]) ).
cnf(s1676,plain,
spl64_34,
inference(rat,[],[s34,s33,s19]) ).
cnf(s2006,plain,
spl64_296,
inference(rat,[],[s291,s3,s261,s9,s7,s6,s5,s4,s2]) ).
cnf(s2011,plain,
spl64_285,
inference(rat,[],[s280,s3,s261,s9,s7,s6,s5,s4,s2]) ).
cnf(s2018,plain,
spl64_272,
inference(rat,[],[s267,s3,s261,s9,s7,s6,s5,s4,s2]) ).
cnf(s2021,plain,
spl64_269,
inference(rat,[],[s264,s3,s261,s9,s7,s6,s5,s4,s2]) ).
cnf(s2022,plain,
spl64_268,
inference(rat,[],[s263,s3,s261,s9,s7,s6,s5,s4,s2]) ).
cnf(s2023,plain,
spl64_267,
inference(rat,[],[s262,s3,s261,s9,s7,s6,s5,s4,s2]) ).
cnf(s2027,plain,
spl64_228,
inference(rat,[],[s223,s3,s1660,s1663,s20,s16,s9,s7,s6,s5,s4,s2]) ).
cnf(s2069,plain,
spl64_80,
inference(rat,[],[s80,s3,s2]) ).
cnf(s2080,plain,
spl64_55,
inference(rat,[],[s55,s3,s1656,s1676,s17,s9,s7,s6,s5,s4,s2]) ).
cnf(s2085,plain,
spl64_41,
inference(rat,[],[s41,s3,s9,s7,s6,s5,s4,s2]) ).
cnf(s2154,plain,
spl64_273,
inference(rat,[],[s268,s2021,s2022]) ).
cnf(s2162,plain,
spl64_297,
inference(rat,[],[s292,s2,s3,s261,s15,s9,s7,s6,s5,s4,s2023]) ).
cnf(s2163,plain,
spl64_293,
inference(rat,[],[s288,s2,s3,s261,s13,s9,s7,s6,s5,s4,s2023]) ).
cnf(s2165,plain,
spl64_288,
inference(rat,[],[s283,s2,s3,s261,s18,s9,s7,s6,s5,s4,s2023]) ).
cnf(s2167,plain,
spl64_276,
inference(rat,[],[s271,s2,s3,s261,s11,s9,s7,s6,s5,s4,s2023]) ).
cnf(s2169,plain,
spl64_1461,
inference(rat,[],[s1454,s2,s3,s1661,s9,s7,s6,s5,s4,s2027]) ).
cnf(s2241,plain,
spl64_207,
inference(rat,[],[s202,s2,s3,s7,s2069]) ).
cnf(s2284,plain,
spl64_700,
inference(rat,[],[s695,s40,s46,s2080]) ).
cnf(s2372,plain,
spl64_298,
inference(rat,[],[s293,s2162]) ).
cnf(s2373,plain,
spl64_294,
inference(rat,[],[s289,s2163]) ).
cnf(s2375,plain,
spl64_289,
inference(rat,[],[s284,s2165]) ).
cnf(s2377,plain,
spl64_277,
inference(rat,[],[s272,s2167]) ).
cnf(s2378,plain,
spl64_1462,
inference(rat,[],[s1455,s2169]) ).
cnf(s2427,plain,
spl64_701,
inference(rat,[],[s696,s2284]) ).
cnf(s2533,plain,
spl64_710,
inference(rat,[],[s705,s1665,s2427]) ).
cnf(s2643,plain,
spl64_1463,
inference(rat,[],[s1456,s2378,s23,s2533]) ).
cnf(s2742,plain,
spl64_1464,
inference(rat,[],[s1457,s2533,s2,s3,s1671,s1672,s9,s7,s6,s5,s4,s2643]) ).
cnf(s2777,plain,
spl64_1465,
inference(rat,[],[s1458,s2742]) ).
cnf(s2813,plain,
spl64_1466,
inference(rat,[],[s1459,s2777]) ).
cnf(s2859,plain,
spl64_1486,
inference(rat,[],[s1479,s2813]) ).
cnf(s2865,plain,
spl64_1238,
inference(rat,[],[s1653,s10,s14,s261,s2813]) ).
cnf(s2882,plain,
spl64_1521,
inference(rat,[],[s1514,s2859]) ).
cnf(s2894,plain,
~ spl64_1581,
inference(rat,[],[s1584,s2018,s2865]) ).
cnf(s2895,plain,
~ spl64_1544,
inference(rat,[],[s1543,s2154,s2865]) ).
cnf(s2896,plain,
spl64_1541,
inference(rat,[],[s1541,s2865]) ).
cnf(s2897,plain,
spl64_1540,
inference(rat,[],[s1540,s2865]) ).
cnf(s2900,plain,
spl64_1538,
inference(rat,[],[s1538,s2,s3,s261,s9,s7,s6,s5,s4,s2865]) ).
cnf(s2903,plain,
spl64_1534,
inference(rat,[],[s1534,s2,s3,s261,s9,s7,s6,s5,s4,s2865]) ).
cnf(s2909,plain,
spl64_1522,
inference(rat,[],[s1515,s10,s14,s261,s2882]) ).
cnf(s2930,plain,
spl64_1536,
inference(rat,[],[s1536,s2865,s2,s3,s261,s9,s7,s6,s5,s4,s2903]) ).
cnf(s2991,plain,
spl64_74,
inference(rat,[],[s74,s1]) ).
cnf(s3010,plain,
spl64_1368,
inference(rat,[],[s1361,s2241,s2991]) ).
cnf(s3043,plain,
spl64_1369,
inference(rat,[],[s1362,s4,s5,s9,s6,s3010]) ).
cnf(s3056,plain,
spl64_1376,
inference(rat,[],[s1369,s2085,s2023,s261,s3043]) ).
cnf(s3068,plain,
spl64_1377,
inference(rat,[],[s1370,s3056]) ).
cnf(s3122,plain,
~ spl64_1235,
inference(rat,[],[s1528,s1526,s261,s14,s2813,s10]) ).
cnf(s3124,plain,
spl64_1232,
inference(rat,[],[s1229,s3122]) ).
cnf(s3125,plain,
spl64_1528,
inference(rat,[],[s1525,s2,s3,s261,s9,s7,s6,s5,s4,s3122]) ).
cnf(s3142,plain,
spl64_1234,
inference(rat,[],[s1228,s2,s3,s261,s9,s7,s6,s5,s4,s3124]) ).
cnf(s3164,plain,
spl64_1542,
inference(rat,[],[s1650,s1646,s1643,s1542,s1567,s1572,s1563,s2894,s12,s2930,s3125,s2895,s2154,s2372,s2865,s2900,s8,s2377,s3122,s2375,s2373]) ).
cnf(s3166,plain,
spl64_1548,
inference(rat,[],[s1547,s2909,s2,s3,s261,s9,s7,s6,s5,s4,s3164]) ).
cnf(s3167,plain,
spl64_1546,
inference(rat,[],[s1545,s2897,s2,s3,s261,s9,s7,s6,s5,s4,s3164]) ).
cnf(s3168,plain,
~ spl64_1545,
inference(rat,[],[s1544,s3142,s3122,s2896,s2900,s3068,s2865,s2154,s2011,s2006,s3164]) ).
cnf(s3172,plain,
spl64_1552,
inference(rat,[],[s1551,s3124,s3164,s2,s3,s261,s9,s7,s6,s5,s4,s3167]) ).
cnf(s3173,plain,
$false,
inference(rat,[],[s1552,s3166,s3172,s3168]) ).
fof(f110142,plain,
$false,
inference(avatar_sat_refutation,[],[s3173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU400+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n013.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 05:08:08 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.45/2.85 % (815657)Detected formulas, will run a generic FOF schedule.
% 13.45/2.85 % (815662)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=3882848346:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.45/2.85 % (815664)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=1926894511:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.45/2.85 % (815663)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=2315726457:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.45/2.85 % (815665)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3170992860:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.45/2.85 % (815666)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=331647080:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.45/2.85 % (815667)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1037762775:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.45/2.85 % (815668)dis-21_1_sil=8000:lcm=predicate:random_seed=3255078272: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)
% 13.45/2.85 % (815665)Instruction limit reached!
% 13.45/2.85 % (815665)------------------------------
% 13.45/2.85 % (815665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.45/2.85 % (815665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/2.85 % (815665)CaDiCaL version: 2.1.3
% 13.45/2.85 % (815665)Termination reason: Instruction limit
% 13.45/2.85 % (815665)Termination phase: Saturation
% 13.45/2.85 % (815665)Time elapsed: 0.065 s
% 13.45/2.85 % (815665)Peak memory usage: 89 MB
% 13.45/2.85 % (815665)Instructions burned: 111 (million)
% 13.45/2.85 % (815666)Instruction limit reached!
% 13.45/2.85 % (815666)------------------------------
% 13.45/2.85 % (815666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.45/2.85 % (815666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/2.85 % (815666)CaDiCaL version: 2.1.3
% 13.45/2.85 % (815666)Termination reason: Instruction limit
% 13.45/2.85 % (815666)Termination phase: Saturation
% 13.45/2.85 % (815666)Time elapsed: 0.073 s
% 13.45/2.85 % (815666)Peak memory usage: 88 MB
% 13.45/2.85 % (815666)Instructions burned: 121 (million)
% 13.45/2.85 % (815668)Instruction limit reached!
% 13.45/2.85 % (815668)------------------------------
% 13.45/2.85 % (815668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.45/2.85 % (815668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/2.85 % (815668)CaDiCaL version: 2.1.3
% 13.45/2.85 % (815668)Termination reason: Instruction limit
% 13.45/2.85 % (815668)Termination phase: Saturation
% 13.45/2.85 % (815668)Time elapsed: 0.069 s
% 13.45/2.85 % (815668)Peak memory usage: 89 MB
% 13.45/2.85 % (815668)Instructions burned: 129 (million)
% 13.45/2.85 % (815667)Instruction limit reached!
% 13.45/2.85 % (815667)------------------------------
% 13.45/2.85 % (815667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.45/2.85 % (815667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/2.85 % (815667)CaDiCaL version: 2.1.3
% 13.45/2.85 % (815667)Termination reason: Instruction limit
% 13.45/2.85 % (815667)Termination phase: Saturation
% 13.45/2.85 % (815667)Time elapsed: 0.094 s
% 13.45/2.85 % (815667)Peak memory usage: 90 MB
% 13.45/2.85 % (815667)Instructions burned: 140 (million)
% 13.45/2.85 % (815676)lrs+10_1_sil=8000:sp=occurrence:random_seed=2942873874:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.45/2.85 % (815677)lrs+10_1_sil=32000:urr=on:br=off:random_seed=69700837:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.45/2.85 % (815678)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3853224991:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.45/2.85 % (815679)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1017735847:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 13.45/2.85 % (815677)Instruction limit reached!
% 13.45/2.85 % (815677)------------------------------
% 13.45/2.85 % (815677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/3.78 % (815677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/3.78 % (815677)CaDiCaL version: 2.1.3
% 19.89/3.78 % (815677)Termination reason: Instruction limit
% 19.89/3.78 % (815677)Termination phase: Saturation
% 19.89/3.78 % (815677)Time elapsed: 0.076 s
% 19.89/3.78 % (815677)Peak memory usage: 91 MB
% 19.89/3.78 % (815677)Instructions burned: 159 (million)
% 19.89/3.78 % (815679)Instruction limit reached!
% 19.89/3.78 % (815679)------------------------------
% 19.89/3.78 % (815679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/3.78 % (815679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/3.78 % (815679)CaDiCaL version: 2.1.3
% 19.89/3.78 % (815679)Termination reason: Instruction limit
% 19.89/3.78 % (815679)Termination phase: Saturation
% 19.89/3.78 % (815679)Time elapsed: 0.136 s
% 19.89/3.78 % (815679)Peak memory usage: 95 MB
% 19.89/3.78 % (815679)Instructions burned: 248 (million)
% 19.89/3.78 % (815676)Instruction limit reached!
% 19.89/3.78 % (815676)------------------------------
% 19.89/3.78 % (815676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/3.78 % (815676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/3.78 % (815676)CaDiCaL version: 2.1.3
% 19.89/3.78 % (815676)Termination reason: Instruction limit
% 19.89/3.78 % (815676)Termination phase: Saturation
% 19.89/3.78 % (815676)Time elapsed: 0.169 s
% 19.89/3.78 % (815676)Peak memory usage: 93 MB
% 19.89/3.78 % (815676)Instructions burned: 286 (million)
% 19.89/3.78 % (815684)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4067686935:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 19.89/3.78 % (815684)Refutation not found, incomplete strategy
% 19.89/3.78 % (815684)------------------------------
% 19.89/3.78 % (815684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/3.78 % (815684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/3.78 % (815684)CaDiCaL version: 2.1.3
% 19.89/3.78 % (815684)Termination reason: Refutation not found, incomplete strategy
% 19.89/3.78 % (815684)Time elapsed: 0.013 s
% 19.89/3.78 % (815684)Peak memory usage: 88 MB
% 19.89/3.78 % (815684)Instructions burned: 19 (million)
% 19.89/3.78 % (815678)Instruction limit reached!
% 19.89/3.78 % (815678)------------------------------
% 19.89/3.78 % (815678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/3.78 % (815678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/3.78 % (815678)CaDiCaL version: 2.1.3
% 19.89/3.78 % (815678)Termination reason: Instruction limit
% 19.89/3.78 % (815678)Termination phase: Saturation
% 19.89/3.78 % (815678)Time elapsed: 0.199 s
% 19.89/3.78 % (815678)Peak memory usage: 92 MB
% 19.89/3.78 % (815678)Instructions burned: 326 (million)
% 19.89/3.78 % (815686)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2895558716:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 19.89/3.78 % (815685)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3285714720:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 19.89/3.78 % (815688)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=872042617:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 19.89/3.78 % (815686)Instruction limit reached!
% 19.89/3.78 % (815686)------------------------------
% 19.89/3.78 % (815686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/3.78 % (815686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/3.78 % (815686)CaDiCaL version: 2.1.3
% 19.89/3.78 % (815686)Termination reason: Instruction limit
% 19.89/3.78 % (815686)Termination phase: Saturation
% 19.89/3.78 % (815686)Time elapsed: 0.076 s
% 19.89/3.78 % (815686)Peak memory usage: 91 MB
% 19.89/3.78 % (815686)Instructions burned: 114 (million)
% 19.89/3.78 % (815688)Instruction limit reached!
% 19.89/3.78 % (815688)------------------------------
% 19.89/3.78 % (815688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/3.78 % (815688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/3.78 % (815688)CaDiCaL version: 2.1.3
% 19.89/3.78 % (815688)Termination reason: Instruction limit
% 19.89/3.78 % (815688)Termination phase: Saturation
% 19.89/3.78 % (815688)Time elapsed: 0.069 s
% 19.89/3.78 % (815688)Peak memory usage: 89 MB
% 19.89/3.78 % (815688)Instructions burned: 128 (million)
% 57.40/8.90 % (815684)------------------------------
% 57.40/8.90 % (815684)------------------------------
% 57.40/8.90 % (815692)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2555229838:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 57.40/8.90 % (815692)Instruction limit reached!
% 57.40/8.90 % (815692)------------------------------
% 57.40/8.90 % (815692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.40/8.90 % (815692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.40/8.90 % (815692)CaDiCaL version: 2.1.3
% 57.40/8.90 % (815692)Termination reason: Instruction limit
% 57.40/8.90 % (815692)Termination phase: Saturation
% 57.40/8.90 % (815692)Time elapsed: 0.053 s
% 57.40/8.90 % (815692)Peak memory usage: 90 MB
% 57.40/8.90 % (815692)Instructions burned: 115 (million)
% 57.40/8.90 % (815693)lrs+10_1_sil=8000:sp=occurrence:random_seed=2730934667:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 57.40/8.90 % (815694)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=591968030:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 57.40/8.90 % (815696)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=368111741:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 57.40/8.90 % (815694)Instruction limit reached!
% 57.40/8.90 % (815694)------------------------------
% 57.40/8.90 % (815694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.40/8.90 % (815694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.40/8.90 % (815694)CaDiCaL version: 2.1.3
% 57.40/8.90 % (815694)Termination reason: Instruction limit
% 57.40/8.90 % (815694)Termination phase: Saturation
% 57.40/8.90 % (815694)Time elapsed: 0.237 s
% 57.40/8.90 % (815694)Peak memory usage: 90 MB
% 57.40/8.90 % (815694)Instructions burned: 437 (million)
% 57.40/8.90 % (815700)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3017949430:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 57.40/8.90 % (815700)Instruction limit reached!
% 57.40/8.90 % (815700)------------------------------
% 57.40/8.90 % (815700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.40/8.90 % (815700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.40/8.90 % (815700)CaDiCaL version: 2.1.3
% 57.40/8.90 % (815700)Termination reason: Instruction limit
% 57.40/8.90 % (815700)Termination phase: Saturation
% 57.40/8.90 % (815700)Time elapsed: 0.077 s
% 57.40/8.90 % (815700)Peak memory usage: 92 MB
% 57.40/8.90 % (815700)Instructions burned: 135 (million)
% 57.40/8.90 % (815693)Instruction limit reached!
% 57.40/8.90 % (815693)------------------------------
% 57.40/8.90 % (815693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.40/8.90 % (815693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.40/8.90 % (815693)CaDiCaL version: 2.1.3
% 57.40/8.90 % (815693)Termination reason: Instruction limit
% 57.40/8.90 % (815693)Termination phase: Saturation
% 57.40/8.90 % (815693)Time elapsed: 0.487 s
% 57.40/8.90 % (815693)Peak memory usage: 101 MB
% 57.40/8.90 % (815693)Instructions burned: 907 (million)
% 57.40/8.90 % (815702)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1657782551:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 57.40/8.90 % (815703)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2608626824:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 57.40/8.90 % (815702)Instruction limit reached!
% 57.40/8.90 % (815702)------------------------------
% 57.40/8.90 % (815702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.40/8.90 % (815702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.40/8.90 % (815702)CaDiCaL version: 2.1.3
% 57.40/8.90 % (815702)Termination reason: Instruction limit
% 57.40/8.90 % (815702)Termination phase: Saturation
% 57.40/8.90 % (815702)Time elapsed: 0.277 s
% 57.40/8.90 % (815702)Peak memory usage: 93 MB
% 57.40/8.90 % (815702)Instructions burned: 592 (million)
% 57.40/8.90 % (815706)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3594900230:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 57.40/8.90 % (815706)Instruction limit reached!
% 57.40/8.90 % (815706)------------------------------
% 74.46/11.39 % (815706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.46/11.39 % (815706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.46/11.39 % (815706)CaDiCaL version: 2.1.3
% 74.46/11.39 % (815706)Termination reason: Instruction limit
% 74.46/11.39 % (815706)Termination phase: Saturation
% 74.46/11.39 % (815706)Time elapsed: 0.076 s
% 74.46/11.39 % (815706)Peak memory usage: 91 MB
% 74.46/11.39 % (815706)Instructions burned: 127 (million)
% 74.46/11.39 % (815685)Instruction limit reached!
% 74.46/11.39 % (815685)------------------------------
% 74.46/11.39 % (815685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.46/11.39 % (815685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.46/11.39 % (815685)CaDiCaL version: 2.1.3
% 74.46/11.39 % (815685)Termination reason: Instruction limit
% 74.46/11.39 % (815685)Termination phase: Saturation
% 74.46/11.39 % (815685)Time elapsed: 1.448 s
% 74.46/11.39 % (815685)Peak memory usage: 142 MB
% 74.46/11.39 % (815685)Instructions burned: 2351 (million)
% 74.46/11.39 % (815708)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=508989997:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 74.46/11.39 % (815708)Instruction limit reached!
% 74.46/11.39 % (815708)------------------------------
% 74.46/11.39 % (815708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.46/11.39 % (815708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.46/11.39 % (815708)CaDiCaL version: 2.1.3
% 74.46/11.39 % (815708)Termination reason: Instruction limit
% 74.46/11.39 % (815708)Termination phase: Saturation
% 74.46/11.39 % (815708)Time elapsed: 0.078 s
% 74.46/11.39 % (815708)Peak memory usage: 90 MB
% 74.46/11.39 % (815708)Instructions burned: 134 (million)
% 74.46/11.39 % (815709)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=795376248:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 74.46/11.39 % (815709)Instruction limit reached!
% 74.46/11.39 % (815709)------------------------------
% 74.46/11.39 % (815709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.46/11.39 % (815709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.46/11.39 % (815709)CaDiCaL version: 2.1.3
% 74.46/11.39 % (815709)Termination reason: Instruction limit
% 74.46/11.39 % (815709)Termination phase: Saturation
% 74.46/11.39 % (815709)Time elapsed: 0.066 s
% 74.46/11.39 % (815709)Peak memory usage: 89 MB
% 74.46/11.39 % (815709)Instructions burned: 142 (million)
% 74.46/11.39 % (815712)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4047149089:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 74.46/11.39 % (815712)Refutation not found, incomplete strategy
% 74.46/11.39 % (815712)------------------------------
% 74.46/11.39 % (815712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.46/11.39 % (815712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.46/11.39 % (815712)CaDiCaL version: 2.1.3
% 74.46/11.39 % (815712)Termination reason: Refutation not found, incomplete strategy
% 74.46/11.39 % (815712)Time elapsed: 0.009 s
% 74.46/11.39 % (815712)Peak memory usage: 88 MB
% 74.46/11.39 % (815712)Instructions burned: 14 (million)
% 74.46/11.39 % (815713)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=858649208:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 74.46/11.39 % (815712)------------------------------
% 74.46/11.39 % (815712)------------------------------
% 74.46/11.39 % (815716)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=783815629:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2974 on theBenchmark for (2974ds/150Mi)
% 74.46/11.39 % (815716)Instruction limit reached!
% 74.46/11.39 % (815716)------------------------------
% 74.46/11.39 % (815716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.46/11.39 % (815716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.46/11.39 % (815716)CaDiCaL version: 2.1.3
% 74.46/11.39 % (815716)Termination reason: Instruction limit
% 74.46/11.39 % (815716)Termination phase: Saturation
% 74.46/11.39 % (815716)Time elapsed: 0.085 s
% 74.46/11.39 % (815716)Peak memory usage: 92 MB
% 74.46/11.39 % (815716)Instructions burned: 150 (million)
% 74.46/11.39 % (815718)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2445032746:i=14155:bd=all_2972 on theBenchmark for (2972ds/14155Mi)
% 111.88/16.61 % (815696)Instruction limit reached!
% 111.88/16.61 % (815696)------------------------------
% 111.88/16.61 % (815696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.88/16.61 % (815696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.88/16.61 % (815696)CaDiCaL version: 2.1.3
% 111.88/16.61 % (815696)Termination reason: Instruction limit
% 111.88/16.61 % (815696)Termination phase: Saturation
% 111.88/16.61 % (815696)Time elapsed: 2.912 s
% 111.88/16.61 % (815696)Peak memory usage: 157 MB
% 111.88/16.61 % (815696)Instructions burned: 5203 (million)
% 111.88/16.61 % (815720)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1308676118:i=667:av=off:fsr=off_2960 on theBenchmark for (2960ds/667Mi)
% 111.88/16.61 % (815720)Instruction limit reached!
% 111.88/16.61 % (815720)------------------------------
% 111.88/16.61 % (815720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.88/16.61 % (815720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.88/16.61 % (815720)CaDiCaL version: 2.1.3
% 111.88/16.61 % (815720)Termination reason: Instruction limit
% 111.88/16.61 % (815720)Termination phase: Saturation
% 111.88/16.61 % (815720)Time elapsed: 0.322 s
% 111.88/16.61 % (815720)Peak memory usage: 92 MB
% 111.88/16.61 % (815720)Instructions burned: 668 (million)
% 111.88/16.61 % (815722)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2098444273:s2a=on:i=185:s2at=1.8:fdi=4_2956 on theBenchmark for (2956ds/185Mi)
% 111.88/16.61 % (815722)Instruction limit reached!
% 111.88/16.61 % (815722)------------------------------
% 111.88/16.61 % (815722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.88/16.61 % (815722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.88/16.61 % (815722)CaDiCaL version: 2.1.3
% 111.88/16.61 % (815722)Termination reason: Instruction limit
% 111.88/16.61 % (815722)Termination phase: Saturation
% 111.88/16.61 % (815722)Time elapsed: 0.092 s
% 111.88/16.61 % (815722)Peak memory usage: 91 MB
% 111.88/16.61 % (815722)Instructions burned: 187 (million)
% 111.88/16.61 % (815724)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2295076051:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2953 on theBenchmark for (2953ds/193Mi)
% 111.88/16.61 % (815724)Instruction limit reached!
% 111.88/16.61 % (815724)------------------------------
% 111.88/16.61 % (815724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.88/16.61 % (815724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.88/16.61 % (815724)CaDiCaL version: 2.1.3
% 111.88/16.61 % (815724)Termination reason: Instruction limit
% 111.88/16.61 % (815724)Termination phase: Saturation
% 111.88/16.61 % (815724)Time elapsed: 0.109 s
% 111.88/16.61 % (815724)Peak memory usage: 90 MB
% 111.88/16.61 % (815724)Instructions burned: 195 (million)
% 111.88/16.61 % (815726)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2612701512:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2951 on theBenchmark for (2951ds/4850Mi)
% 111.88/16.61 % (815713)Instruction limit reached!
% 111.88/16.61 % (815713)------------------------------
% 111.88/16.61 % (815713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.88/16.61 % (815713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.88/16.61 % (815713)CaDiCaL version: 2.1.3
% 111.88/16.61 % (815713)Termination reason: Instruction limit
% 111.88/16.61 % (815713)Termination phase: Saturation
% 111.88/16.61 % (815713)Time elapsed: 3.710 s
% 111.88/16.61 % (815713)Peak memory usage: 166 MB
% 111.88/16.61 % (815713)Instructions burned: 6060 (million)
% 111.88/16.61 % (815728)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=6469232:i=12111:sd=1:ss=included_2938 on theBenchmark for (2938ds/12111Mi)
% 111.88/16.61 % (815726)Instruction limit reached!
% 111.88/16.61 % (815726)------------------------------
% 111.88/16.61 % (815726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 111.88/16.61 % (815726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 111.88/16.61 % (815726)CaDiCaL version: 2.1.3
% 111.88/16.61 % (815726)Termination reason: Instruction limit
% 111.88/16.61 % (815726)Termination phase: Saturation
% 111.88/16.61 % (815726)Time elapsed: 3.061 s
% 111.88/16.61 % (815726)Peak memory usage: 183 MB
% 142.00/20.94 % (815726)Instructions burned: 4850 (million)
% 142.00/20.94 % (815730)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1730934458:i=319:kws=precedence:fsr=off_2919 on theBenchmark for (2919ds/319Mi)
% 142.00/20.94 % (815730)Instruction limit reached!
% 142.00/20.94 % (815730)------------------------------
% 142.00/20.94 % (815730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 142.00/20.94 % (815730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 142.00/20.94 % (815730)CaDiCaL version: 2.1.3
% 142.00/20.94 % (815730)Termination reason: Instruction limit
% 142.00/20.94 % (815730)Termination phase: Saturation
% 142.00/20.94 % (815730)Time elapsed: 0.161 s
% 142.00/20.94 % (815730)Peak memory usage: 91 MB
% 142.00/20.94 % (815730)Instructions burned: 322 (million)
% 142.00/20.94 % (815732)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1955806560:i=2064:ep=RST_2916 on theBenchmark for (2916ds/2064Mi)
% 142.00/20.94 % (815703)Instruction limit reached!
% 142.00/20.94 % (815703)------------------------------
% 142.00/20.94 % (815703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 142.00/20.94 % (815703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 142.00/20.94 % (815703)CaDiCaL version: 2.1.3
% 142.00/20.94 % (815703)Termination reason: Instruction limit
% 142.00/20.94 % (815703)Termination phase: Saturation
% 142.00/20.94 % (815703)Time elapsed: 7.491 s
% 142.00/20.94 % (815703)Peak memory usage: 221 MB
% 142.00/20.94 % (815703)Instructions burned: 13193 (million)
% 142.00/20.94 % (815734)dis-1011_128_sil=32000:random_seed=3410816107:i=3706:ep=RST:av=off_2909 on theBenchmark for (2909ds/3706Mi)
% 142.00/20.94 % (815732)Instruction limit reached!
% 142.00/20.94 % (815732)------------------------------
% 142.00/20.94 % (815732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 142.00/20.94 % (815732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 142.00/20.94 % (815732)CaDiCaL version: 2.1.3
% 142.00/20.94 % (815732)Termination reason: Instruction limit
% 142.00/20.94 % (815732)Termination phase: Saturation
% 142.00/20.94 % (815732)Time elapsed: 0.934 s
% 142.00/20.94 % (815732)Peak memory usage: 98 MB
% 142.00/20.94 % (815732)Instructions burned: 2064 (million)
% 142.00/20.94 % (815736)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=4287662237:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2905 on theBenchmark for (2905ds/757Mi)
% 142.00/20.94 % (815718)Instruction limit reached!
% 142.00/20.94 % (815718)------------------------------
% 142.00/20.94 % (815718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 142.00/20.94 % (815718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 142.00/20.94 % (815718)CaDiCaL version: 2.1.3
% 142.00/20.94 % (815718)Termination reason: Instruction limit
% 142.00/20.94 % (815718)Termination phase: Saturation
% 142.00/20.94 % (815718)Time elapsed: 6.969 s
% 142.00/20.94 % (815718)Peak memory usage: 177 MB
% 142.00/20.94 % (815718)Instructions burned: 14157 (million)
% 142.00/20.94 % (815736)Instruction limit reached!
% 142.00/20.94 % (815736)------------------------------
% 142.00/20.94 % (815736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 142.00/20.94 % (815736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 142.00/20.94 % (815736)CaDiCaL version: 2.1.3
% 142.00/20.94 % (815736)Termination reason: Instruction limit
% 142.00/20.94 % (815736)Termination phase: Saturation
% 142.00/20.94 % (815736)Time elapsed: 0.454 s
% 142.00/20.94 % (815736)Peak memory usage: 103 MB
% 142.00/20.94 % (815736)Instructions burned: 757 (million)
% 142.00/20.94 % (815738)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3817470425:i=13913:ss=axioms:sgt=8_2900 on theBenchmark for (2900ds/13913Mi)
% 142.00/20.94 % (815739)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2701248681:i=9925:aac=none_2899 on theBenchmark for (2899ds/9925Mi)
% 142.00/20.94 % (815734)Instruction limit reached!
% 142.00/20.94 % (815734)------------------------------
% 142.00/20.94 % (815734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 142.00/20.94 % (815734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 142.00/20.94 % (815734)CaDiCaL version: 2.1.3
% 142.00/20.94 % (815734)Termination reason: Instruction limit
% 142.00/20.94 % (815734)Termination phase: Saturation
% 142.00/20.94 % (815734)Time elapsed: 1.357 s
% 142.00/20.94 % (815734)Peak memory usage: 89 MB
% 142.00/20.94 % (815734)Instructions burned: 3707 (million)
% 166.66/24.31 % (815742)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=286885417:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2894 on theBenchmark for (2894ds/2479Mi)
% 166.66/24.31 % (815742)Refutation not found, incomplete strategy
% 166.66/24.31 % (815742)------------------------------
% 166.66/24.31 % (815742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.66/24.31 % (815742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.66/24.31 % (815742)CaDiCaL version: 2.1.3
% 166.66/24.31 % (815742)Termination reason: Refutation not found, incomplete strategy
% 166.66/24.31 % (815742)Time elapsed: 0.009 s
% 166.66/24.31 % (815742)Peak memory usage: 89 MB
% 166.66/24.31 % (815742)Instructions burned: 15 (million)
% 166.66/24.31 % (815742)------------------------------
% 166.66/24.31 % (815742)------------------------------
% 166.66/24.31 % (815744)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2715883671:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2890 on theBenchmark for (2890ds/440Mi)
% 166.66/24.31 % (815744)Instruction limit reached!
% 166.66/24.31 % (815744)------------------------------
% 166.66/24.31 % (815744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.66/24.31 % (815744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.66/24.31 % (815744)CaDiCaL version: 2.1.3
% 166.66/24.31 % (815744)Termination reason: Instruction limit
% 166.66/24.31 % (815744)Termination phase: Saturation
% 166.66/24.31 % (815744)Time elapsed: 0.192 s
% 166.66/24.31 % (815744)Peak memory usage: 91 MB
% 166.66/24.31 % (815744)Instructions burned: 443 (million)
% 166.66/24.31 % (815746)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=145062656:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2887 on theBenchmark for (2887ds/11145Mi)
% 166.66/24.31 % (815728)Instruction limit reached!
% 166.66/24.31 % (815728)------------------------------
% 166.66/24.31 % (815728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.66/24.31 % (815728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.66/24.31 % (815728)CaDiCaL version: 2.1.3
% 166.66/24.31 % (815728)Termination reason: Instruction limit
% 166.66/24.31 % (815728)Termination phase: Saturation
% 166.66/24.31 % (815728)Time elapsed: 7.187 s
% 166.66/24.31 % (815728)Peak memory usage: 251 MB
% 166.66/24.31 % (815728)Instructions burned: 12113 (million)
% 166.66/24.31 % (815748)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=739499201:cts=off:i=3034:av=off:er=known:fsd=on_2865 on theBenchmark for (2865ds/3034Mi)
% 166.66/24.31 % (815748)Instruction limit reached!
% 166.66/24.31 % (815748)------------------------------
% 166.66/24.31 % (815748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.66/24.31 % (815748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.66/24.31 % (815748)CaDiCaL version: 2.1.3
% 166.66/24.31 % (815748)Termination reason: Instruction limit
% 166.66/24.31 % (815748)Termination phase: Saturation
% 166.66/24.31 % (815748)Time elapsed: 1.613 s
% 166.66/24.31 % (815748)Peak memory usage: 132 MB
% 166.66/24.31 % (815748)Instructions burned: 3034 (million)
% 166.66/24.31 % (815750)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3627628941:st=2:s2a=on:i=524:s2at=2:ss=axioms_2847 on theBenchmark for (2847ds/524Mi)
% 166.66/24.31 % (815750)Instruction limit reached!
% 166.66/24.31 % (815750)------------------------------
% 166.66/24.31 % (815750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.66/24.31 % (815750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.66/24.31 % (815750)CaDiCaL version: 2.1.3
% 166.66/24.31 % (815750)Termination reason: Instruction limit
% 166.66/24.31 % (815750)Termination phase: Saturation
% 166.66/24.31 % (815750)Time elapsed: 0.259 s
% 166.66/24.31 % (815750)Peak memory usage: 100 MB
% 166.66/24.31 % (815750)Instructions burned: 525 (million)
% 166.66/24.31 % (815739)Instruction limit reached!
% 166.66/24.31 % (815739)------------------------------
% 166.66/24.31 % (815739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.66/24.31 % (815739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.66/24.31 % (815739)CaDiCaL version: 2.1.3
% 166.66/24.31 % (815739)Termination reason: Instruction limit
% 166.66/24.31 % (815739)Termination phase: Saturation
% 166.66/24.31 % (815739)Time elapsed: 5.524 s
% 166.66/24.31 % (815739)Peak memory usage: 207 MB
% 166.66/24.31 % (815739)Instructions burned: 9926 (million)
% 166.66/24.31 % (815752)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=967950657:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2843 on theBenchmark for (2843ds/1016Mi)
% 197.19/28.64 % (815753)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1495639150:i=14123:bd=preordered:ins=4_2843 on theBenchmark for (2843ds/14123Mi)
% 197.19/28.64 % (815752)Instruction limit reached!
% 197.19/28.64 % (815752)------------------------------
% 197.19/28.64 % (815752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 197.19/28.64 % (815752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.19/28.64 % (815752)CaDiCaL version: 2.1.3
% 197.19/28.64 % (815752)Termination reason: Instruction limit
% 197.19/28.64 % (815752)Termination phase: Saturation
% 197.19/28.64 % (815752)Time elapsed: 0.578 s
% 197.19/28.64 % (815752)Peak memory usage: 125 MB
% 197.19/28.64 % (815752)Instructions burned: 1016 (million)
% 197.19/28.64 % (815756)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3644497365:i=5781:kws=precedence:bd=all:rawr=on_2836 on theBenchmark for (2836ds/5781Mi)
% 197.19/28.64 % (815738)Instruction limit reached!
% 197.19/28.64 % (815738)------------------------------
% 197.19/28.64 % (815738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 197.19/28.64 % (815738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.19/28.64 % (815738)CaDiCaL version: 2.1.3
% 197.19/28.64 % (815738)Termination reason: Instruction limit
% 197.19/28.64 % (815738)Termination phase: Saturation
% 197.19/28.64 % (815738)Time elapsed: 7.874 s
% 197.19/28.64 % (815738)Peak memory usage: 225 MB
% 197.19/28.64 % (815738)Instructions burned: 13913 (million)
% 197.19/28.64 % (815758)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=2991596016:i=2448:gtgl=5:bd=preordered:gtg=all_2820 on theBenchmark for (2820ds/2448Mi)
% 197.19/28.64 % (815746)Instruction limit reached!
% 197.19/28.64 % (815746)------------------------------
% 197.19/28.64 % (815746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 197.19/28.64 % (815746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.19/28.64 % (815746)CaDiCaL version: 2.1.3
% 197.19/28.64 % (815746)Termination reason: Instruction limit
% 197.19/28.64 % (815746)Termination phase: Saturation
% 197.19/28.64 % (815746)Time elapsed: 7.085 s
% 197.19/28.64 % (815746)Peak memory usage: 179 MB
% 197.19/28.64 % (815746)Instructions burned: 11146 (million)
% 197.19/28.64 % (815760)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=85905700:i=3223:kws=precedence:fgj=on:av=off_2815 on theBenchmark for (2815ds/3223Mi)
% 197.19/28.64 % (815756)Instruction limit reached!
% 197.19/28.64 % (815756)------------------------------
% 197.19/28.64 % (815756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 197.19/28.64 % (815756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.19/28.64 % (815756)CaDiCaL version: 2.1.3
% 197.19/28.64 % (815756)Termination reason: Instruction limit
% 197.19/28.64 % (815756)Termination phase: Saturation
% 197.19/28.64 % (815756)Time elapsed: 2.308 s
% 197.19/28.64 % (815756)Peak memory usage: 122 MB
% 197.19/28.64 % (815756)Instructions burned: 5782 (million)
% 197.19/28.64 % (815762)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=918958633:st=5.6:i=2033:sd=3:ss=axioms_2812 on theBenchmark for (2812ds/2033Mi)
% 197.19/28.64 % (815758)Instruction limit reached!
% 197.19/28.64 % (815758)------------------------------
% 197.19/28.64 % (815758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 197.19/28.64 % (815758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 197.19/28.64 % (815758)CaDiCaL version: 2.1.3
% 197.19/28.64 % (815758)Termination reason: Instruction limit
% 197.19/28.64 % (815758)Termination phase: Saturation
% 197.19/28.64 % (815758)Time elapsed: 1.415 s
% 197.19/28.64 % (815758)Peak memory usage: 147 MB
% 197.19/28.64 % (815758)Instructions burned: 2450 (million)
% 197.19/28.64 % (815764)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=2980659695:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2805 on theBenchmark for (2805ds/2055Mi)
% 197.19/28.64 % (815762)Instruction limit reached!
% 197.19/28.64 % (815762)------------------------------
% 197.19/28.64 % (815762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 197.19/28.64 % (815762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 243.59/35.19 % (815762)CaDiCaL version: 2.1.3
% 243.59/35.19 % (815762)Termination reason: Instruction limit
% 243.59/35.19 % (815762)Termination phase: Saturation
% 243.59/35.19 % (815762)Time elapsed: 1.189 s
% 243.59/35.19 % (815762)Peak memory usage: 134 MB
% 243.59/35.19 % (815762)Instructions burned: 2034 (million)
% 243.59/35.19 % (815766)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=4289137230:i=21611:sd=3:ss=axioms_2799 on theBenchmark for (2799ds/21611Mi)
% 243.59/35.19 % (815760)Instruction limit reached!
% 243.59/35.19 % (815760)------------------------------
% 243.59/35.19 % (815760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 243.59/35.19 % (815760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 243.59/35.19 % (815760)CaDiCaL version: 2.1.3
% 243.59/35.19 % (815760)Termination reason: Instruction limit
% 243.59/35.19 % (815760)Termination phase: Saturation
% 243.59/35.19 % (815760)Time elapsed: 2.097 s
% 243.59/35.19 % (815760)Peak memory usage: 147 MB
% 243.59/35.19 % (815760)Instructions burned: 3223 (million)
% 243.59/35.19 % (815764)Instruction limit reached!
% 243.59/35.19 % (815764)------------------------------
% 243.59/35.19 % (815764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 243.59/35.19 % (815764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 243.59/35.19 % (815764)CaDiCaL version: 2.1.3
% 243.59/35.19 % (815764)Termination reason: Instruction limit
% 243.59/35.19 % (815764)Termination phase: Saturation
% 243.59/35.19 % (815764)Time elapsed: 1.189 s
% 243.59/35.19 % (815764)Peak memory usage: 132 MB
% 243.59/35.19 % (815764)Instructions burned: 2056 (million)
% 243.59/35.19 % (815768)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=2674555589:i=4835:sd=13:ss=axioms:sgt=23_2792 on theBenchmark for (2792ds/4835Mi)
% 243.59/35.19 % (815769)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=3848484498:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2791 on theBenchmark for (2791ds/797Mi)
% 243.59/35.19 % (815769)Instruction limit reached!
% 243.59/35.19 % (815769)------------------------------
% 243.59/35.19 % (815769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 243.59/35.19 % (815769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 243.59/35.19 % (815769)CaDiCaL version: 2.1.3
% 243.59/35.19 % (815769)Termination reason: Instruction limit
% 243.59/35.19 % (815769)Termination phase: Saturation
% 243.59/35.19 % (815769)Time elapsed: 0.485 s
% 243.59/35.19 % (815769)Peak memory usage: 106 MB
% 243.59/35.19 % (815769)Instructions burned: 797 (million)
% 243.59/35.19 % (815772)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=3878577188:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2785 on theBenchmark for (2785ds/2326Mi)
% 243.59/35.19 % (815753)Instruction limit reached!
% 243.59/35.19 % (815753)------------------------------
% 243.59/35.19 % (815753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 243.59/35.19 % (815753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 243.59/35.19 % (815753)CaDiCaL version: 2.1.3
% 243.59/35.19 % (815753)Termination reason: Instruction limit
% 243.59/35.19 % (815753)Termination phase: Saturation
% 243.59/35.19 % (815753)Time elapsed: 5.991 s
% 243.59/35.19 % (815753)Peak memory usage: 154 MB
% 243.59/35.19 % (815753)Instructions burned: 14124 (million)
% 243.59/35.19 % (815774)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=2253212189:i=6038:nm=6_2781 on theBenchmark for (2781ds/6038Mi)
% 243.59/35.19 % (815772)Instruction limit reached!
% 243.59/35.19 % (815772)------------------------------
% 243.59/35.19 % (815772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 243.59/35.19 % (815772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 243.59/35.19 % (815772)CaDiCaL version: 2.1.3
% 243.59/35.19 % (815772)Termination reason: Instruction limit
% 243.59/35.19 % (815772)Termination phase: Saturation
% 243.59/35.19 % (815772)Time elapsed: 1.454 s
% 243.59/35.19 % (815772)Peak memory usage: 110 MB
% 243.59/35.19 % (815772)Instructions burned: 2327 (million)
% 243.59/35.19 % (815776)lrs+10_1_sil=32000:sp=occurrence:random_seed=405317113:st=2:i=33334:sd=3:ss=included:sgt=32_2769 on theBenchmark for (2769ds/33334Mi)
% 243.59/35.19 % (815768)Instruction limit reached!
% 243.59/35.19 % (815768)------------------------------
% 166.13/38.42 % (815768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.13/38.42 % (815768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.13/38.42 % (815768)CaDiCaL version: 2.1.3
% 166.13/38.42 % (815768)Termination reason: Instruction limit
% 166.13/38.42 % (815768)Termination phase: Saturation
% 166.13/38.42 % (815768)Time elapsed: 2.604 s
% 166.13/38.42 % (815768)Peak memory usage: 129 MB
% 166.13/38.42 % (815768)Instructions burned: 4837 (million)
% 166.13/38.42 % (815778)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=1559702295:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2765 on theBenchmark for (2765ds/1008Mi)
% 166.13/38.42 % (815778)Instruction limit reached!
% 166.13/38.42 % (815778)------------------------------
% 166.13/38.42 % (815778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.13/38.42 % (815778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.13/38.42 % (815778)CaDiCaL version: 2.1.3
% 166.13/38.42 % (815778)Termination reason: Instruction limit
% 166.13/38.42 % (815778)Termination phase: Saturation
% 166.13/38.42 % (815778)Time elapsed: 0.504 s
% 166.13/38.42 % (815778)Peak memory usage: 99 MB
% 166.13/38.42 % (815778)Instructions burned: 1010 (million)
% 166.13/38.42 % (815780)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=2660624285:i=8327:s2at=5:bd=preordered_2758 on theBenchmark for (2758ds/8327Mi)
% 166.13/38.42 % (815774)Instruction limit reached!
% 166.13/38.42 % (815774)------------------------------
% 166.13/38.42 % (815774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.13/38.42 % (815774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.13/38.42 % (815774)CaDiCaL version: 2.1.3
% 166.13/38.42 % (815774)Termination reason: Instruction limit
% 166.13/38.42 % (815774)Termination phase: Saturation
% 166.13/38.42 % (815774)Time elapsed: 3.219 s
% 166.13/38.42 % (815774)Peak memory usage: 183 MB
% 166.13/38.42 % (815774)Instructions burned: 6039 (million)
% 166.13/38.42 % (815782)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=2942936112:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2748 on theBenchmark for (2748ds/1083Mi)
% 166.13/38.42 % (815782)Instruction limit reached!
% 166.13/38.42 % (815782)------------------------------
% 166.13/38.42 % (815782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.13/38.42 % (815782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.13/38.42 % (815782)CaDiCaL version: 2.1.3
% 166.13/38.42 % (815782)Termination reason: Instruction limit
% 166.13/38.42 % (815782)Termination phase: Saturation
% 166.13/38.42 % (815782)Time elapsed: 0.494 s
% 166.13/38.42 % (815782)Peak memory usage: 103 MB
% 166.13/38.42 % (815782)Instructions burned: 1085 (million)
% 166.13/38.42 % (815784)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=210426461:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2742 on theBenchmark for (2742ds/1084Mi)
% 166.13/38.42 % (815784)Instruction limit reached!
% 166.13/38.42 % (815784)------------------------------
% 166.13/38.42 % (815784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.13/38.42 % (815784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.13/38.42 % (815784)CaDiCaL version: 2.1.3
% 166.13/38.42 % (815784)Termination reason: Instruction limit
% 166.13/38.42 % (815784)Termination phase: Saturation
% 166.13/38.42 % (815784)Time elapsed: 0.557 s
% 166.13/38.42 % (815784)Peak memory usage: 99 MB
% 166.13/38.42 % (815784)Instructions burned: 1085 (million)
% 166.13/38.42 % (815786)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=1425310849:i=6995:s2at=5:gtg=all_2735 on theBenchmark for (2735ds/6995Mi)
% 166.13/38.42 % (815766)Instruction limit reached!
% 166.13/38.42 % (815766)------------------------------
% 166.13/38.42 % (815766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.13/38.42 % (815766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.13/38.42 % (815766)CaDiCaL version: 2.1.3
% 166.13/38.42 % (815766)Termination reason: Instruction limit
% 166.13/38.42 % (815766)Termination phase: Saturation
% 166.13/38.42 % (815766)Time elapsed: 7.552 s
% 166.13/38.42 % (815766)Peak memory usage: 144 MB
% 166.13/38.42 % (815766)Instructions burned: 21612 (million)
% 166.13/38.42 % (815788)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=1134960178:st=2:i=6225:sd=15:ss=axioms_2722 on theBenchmark for (2722ds/6225Mi)
% 166.13/38.42 % (815780)Instruction limit reached!
% 166.13/38.42 % (815780)------------------------------
% 166.13/38.42 % (815780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.13/38.42 % (815780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.13/38.42 % (815780)CaDiCaL version: 2.1.3
% 166.13/38.42 % (815780)Termination reason: Instruction limit
% 166.13/38.42 % (815780)Termination phase: Saturation
% 166.13/38.42 % (815780)Time elapsed: 4.869 s
% 166.13/38.42 % (815780)Peak memory usage: 186 MB
% 166.13/38.42 % (815780)Instructions burned: 8328 (million)
% 166.13/38.42 % (815790)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=2928797901:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2708 on theBenchmark for (2708ds/3372Mi)
% 166.13/38.42 % (815786)Instruction limit reached!
% 166.13/38.42 % (815786)------------------------------
% 166.13/38.42 % (815786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.13/38.42 % (815786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.13/38.42 % (815786)CaDiCaL version: 2.1.3
% 166.13/38.42 % (815786)Termination reason: Instruction limit
% 166.13/38.42 % (815786)Termination phase: Saturation
% 166.13/38.42 % (815786)Time elapsed: 4.305 s
% 166.13/38.42 % (815786)Peak memory usage: 166 MB
% 166.13/38.42 % (815786)Instructions burned: 6996 (million)
% 166.13/38.42 % (815788)Instruction limit reached!
% 166.13/38.42 % (815788)------------------------------
% 166.13/38.42 % (815788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.13/38.42 % (815788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.13/38.42 % (815788)CaDiCaL version: 2.1.3
% 166.13/38.42 % (815788)Termination reason: Instruction limit
% 166.13/38.42 % (815788)Termination phase: Saturation
% 166.13/38.42 % (815788)Time elapsed: 3.026 s
% 166.13/38.42 % (815788)Peak memory usage: 208 MB
% 166.13/38.42 % (815788)Instructions burned: 6227 (million)
% 166.13/38.42 % (815792)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=983205232:st=2.3:i=26457:sd=10:ss=included:sgt=8_2690 on theBenchmark for (2690ds/26457Mi)
% 166.13/38.42 % (815793)lrs+10_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:foolp=on:s2agt=20:sac=on:random_seed=1066977669:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2690 on theBenchmark for (2690ds/13494Mi)
% 166.13/38.42 % (815790)Instruction limit reached!
% 166.13/38.42 % (815790)------------------------------
% 166.13/38.42 % (815790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.13/38.42 % (815790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.13/38.42 % (815790)CaDiCaL version: 2.1.3
% 166.13/38.42 % (815790)Termination reason: Instruction limit
% 166.13/38.42 % (815790)Termination phase: Saturation
% 166.13/38.42 % (815790)Time elapsed: 1.952 s
% 166.13/38.42 % (815790)Peak memory usage: 142 MB
% 166.13/38.42 % (815790)Instructions burned: 3374 (million)
% 166.13/38.42 % (815796)dis-1010_1_ncem=casc2026/models/loop5.pt:sil=32000:npcc=on:fde=unused:sp=const_min:spb=goal_then_units:lcm=predicate:acc=on:flr=on:random_seed=4044465371:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2688 on theBenchmark for (2688ds/2503Mi)
% 166.13/38.42 % (815796)Instruction limit reached!
% 166.13/38.42 % (815796)------------------------------
% 166.13/38.42 % (815796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.13/38.42 % (815796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.13/38.42 % (815796)CaDiCaL version: 2.1.3
% 166.13/38.42 % (815796)Termination reason: Instruction limit
% 166.13/38.42 % (815796)Termination phase: Saturation
% 166.13/38.42 % (815796)Time elapsed: 1.400 s
% 166.13/38.42 % (815796)Peak memory usage: 135 MB
% 166.13/38.42 % (815796)Instructions burned: 2504 (million)
% 166.13/38.42 % (815798)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=1951423286:i=2559:sd=1:ep=RSTC:ss=axioms_2672 on theBenchmark for (2672ds/2559Mi)
% 166.13/38.42 % (815798)Instruction limit reached!
% 166.13/38.42 % (815798)------------------------------
% 166.13/38.42 % (815798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 166.13/38.42 % (815798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 166.13/38.42 % (815798)CaDiCaL version: 2.1.3
% 166.13/38.42 % (815798)Termination reason: Instruction limit
% 166.13/38.42 % (815798)Termination phase: Saturation
% 166.13/38.42 % (815798)Time elapsed: 1.485 s
% 166.13/38.42 % (815798)Peak memory usage: 143 MB
% 166.13/38.42 % (815798)Instructions burned: 2560 (million)
% 166.13/38.42 % (815800)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=3067098589:i=30753:av=off:ss=included_2656 on theBenchmark for (2656ds/30753Mi)
% 166.13/38.42 % (815664)First to succeed.
% 166.13/38.42 % (815664)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-815657"
% 166.13/38.42 % (815664)Refutation found. Thanks to Tanya!
% 166.13/38.42 % SZS status Theorem for theBenchmark
% 166.13/38.42 % SZS output start Proof for theBenchmark
% See solution above
% 266.83/38.62 % (815664)------------------------------
% 266.83/38.62 % (815664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 266.83/38.62 % (815664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 266.83/38.62 % (815664)CaDiCaL version: 2.1.3
% 266.83/38.62 % (815664)Termination reason: Refutation
% 266.83/38.62 % (815664)Time elapsed: 37.023 s
% 266.83/38.62 % (815664)Peak memory usage: 421 MB
% 266.83/38.62 % (815664)Instructions burned: 58320 (million)
% 266.83/38.62 % (815664)------------------------------
% 266.83/38.62 % (815664)------------------------------
% 266.83/38.62 % (815657)Success in time 37.566 s
% 266.83/38.62 % Vampire exiting
%------------------------------------------------------------------------------