TSTP Solution File: SEU399+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SEU399+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 09:19:40 EDT 2022
% Result : Theorem 0.35s 26.51s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 2
% Syntax : Number of formulae : 132 ( 16 unt; 0 def)
% Number of atoms : 1897 ( 428 equ)
% Maximal formula atoms : 1118 ( 14 avg)
% Number of connectives : 2904 (1139 ~;1596 |; 161 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 128 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 3 con; 0-4 aty)
% Number of variables : 305 ( 4 sgn 29 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_tarski__e6_39_3__yellow19__1,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X4] :
( ! [X5,X6,X7] :
( ( X5 = X6
& ? [X8] :
( netstr_induced_subset(X8,X1,X2)
& ? [X9] :
( element(X9,the_carrier(X2))
& X4 = topstr_closure(X1,X8)
& X6 = X9
& X8 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X9))) ) )
& X5 = X7
& ? [X10] :
( netstr_induced_subset(X10,X1,X2)
& ? [X11] :
( element(X11,the_carrier(X2))
& X4 = topstr_closure(X1,X10)
& X7 = X11
& X10 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X11)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X11))) ) ) )
=> X6 = X7 )
=> ? [X5] :
! [X6] :
( in(X6,X5)
<=> ? [X7] :
( in(X7,the_carrier(X2))
& X7 = X6
& ? [X12] :
( netstr_induced_subset(X12,X1,X2)
& ? [X13] :
( element(X13,the_carrier(X2))
& X4 = topstr_closure(X1,X12)
& X6 = X13
& X12 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X13)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X13))) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s1_tarski__e6_39_3__yellow19__1) ).
fof(s1_xboole_0__e6_39_3__yellow19__1,conjecture,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X4] :
? [X5] :
! [X6] :
( in(X6,X5)
<=> ( in(X6,the_carrier(X2))
& ? [X7] :
( netstr_induced_subset(X7,X1,X2)
& ? [X8] :
( element(X8,the_carrier(X2))
& X4 = topstr_closure(X1,X7)
& X6 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X8)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X8))) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',s1_xboole_0__e6_39_3__yellow19__1) ).
fof(c_0_2,plain,
! [X14,X15,X17,X26,X26,X30,X31,X32] :
( ( in(esk35_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk27_3(X14,X15,X17) = esk28_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk35_4(X14,X15,X17,X26) = X26
| ~ in(X26,esk34_3(X14,X15,X17))
| esk27_3(X14,X15,X17) = esk28_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( netstr_induced_subset(esk36_4(X14,X15,X17,X26),X14,X15)
| ~ in(X26,esk34_3(X14,X15,X17))
| esk27_3(X14,X15,X17) = esk28_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( element(esk37_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk27_3(X14,X15,X17) = esk28_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X17 = topstr_closure(X14,esk36_4(X14,X15,X17,X26))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk27_3(X14,X15,X17) = esk28_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X26 = esk37_4(X14,X15,X17,X26)
| ~ in(X26,esk34_3(X14,X15,X17))
| esk27_3(X14,X15,X17) = esk28_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk36_4(X14,X15,X17,X26) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk27_3(X14,X15,X17) = esk28_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( ~ in(X30,the_carrier(X15))
| X30 != X26
| ~ netstr_induced_subset(X31,X14,X15)
| ~ element(X32,the_carrier(X15))
| X17 != topstr_closure(X14,X31)
| X26 != X32
| X31 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,X32)),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,X32)))
| in(X26,esk34_3(X14,X15,X17))
| esk27_3(X14,X15,X17) = esk28_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( in(esk35_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| netstr_induced_subset(esk30_3(X14,X15,X17),X14,X15)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk35_4(X14,X15,X17,X26) = X26
| ~ in(X26,esk34_3(X14,X15,X17))
| netstr_induced_subset(esk30_3(X14,X15,X17),X14,X15)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( netstr_induced_subset(esk36_4(X14,X15,X17,X26),X14,X15)
| ~ in(X26,esk34_3(X14,X15,X17))
| netstr_induced_subset(esk30_3(X14,X15,X17),X14,X15)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( element(esk37_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| netstr_induced_subset(esk30_3(X14,X15,X17),X14,X15)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X17 = topstr_closure(X14,esk36_4(X14,X15,X17,X26))
| ~ in(X26,esk34_3(X14,X15,X17))
| netstr_induced_subset(esk30_3(X14,X15,X17),X14,X15)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X26 = esk37_4(X14,X15,X17,X26)
| ~ in(X26,esk34_3(X14,X15,X17))
| netstr_induced_subset(esk30_3(X14,X15,X17),X14,X15)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk36_4(X14,X15,X17,X26) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))))
| ~ in(X26,esk34_3(X14,X15,X17))
| netstr_induced_subset(esk30_3(X14,X15,X17),X14,X15)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( ~ in(X30,the_carrier(X15))
| X30 != X26
| ~ netstr_induced_subset(X31,X14,X15)
| ~ element(X32,the_carrier(X15))
| X17 != topstr_closure(X14,X31)
| X26 != X32
| X31 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,X32)),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,X32)))
| in(X26,esk34_3(X14,X15,X17))
| netstr_induced_subset(esk30_3(X14,X15,X17),X14,X15)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( in(esk35_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| element(esk31_3(X14,X15,X17),the_carrier(X15))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk35_4(X14,X15,X17,X26) = X26
| ~ in(X26,esk34_3(X14,X15,X17))
| element(esk31_3(X14,X15,X17),the_carrier(X15))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( netstr_induced_subset(esk36_4(X14,X15,X17,X26),X14,X15)
| ~ in(X26,esk34_3(X14,X15,X17))
| element(esk31_3(X14,X15,X17),the_carrier(X15))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( element(esk37_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| element(esk31_3(X14,X15,X17),the_carrier(X15))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X17 = topstr_closure(X14,esk36_4(X14,X15,X17,X26))
| ~ in(X26,esk34_3(X14,X15,X17))
| element(esk31_3(X14,X15,X17),the_carrier(X15))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X26 = esk37_4(X14,X15,X17,X26)
| ~ in(X26,esk34_3(X14,X15,X17))
| element(esk31_3(X14,X15,X17),the_carrier(X15))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk36_4(X14,X15,X17,X26) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))))
| ~ in(X26,esk34_3(X14,X15,X17))
| element(esk31_3(X14,X15,X17),the_carrier(X15))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( ~ in(X30,the_carrier(X15))
| X30 != X26
| ~ netstr_induced_subset(X31,X14,X15)
| ~ element(X32,the_carrier(X15))
| X17 != topstr_closure(X14,X31)
| X26 != X32
| X31 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,X32)),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,X32)))
| in(X26,esk34_3(X14,X15,X17))
| element(esk31_3(X14,X15,X17),the_carrier(X15))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( in(esk35_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| X17 = topstr_closure(X14,esk30_3(X14,X15,X17))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk35_4(X14,X15,X17,X26) = X26
| ~ in(X26,esk34_3(X14,X15,X17))
| X17 = topstr_closure(X14,esk30_3(X14,X15,X17))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( netstr_induced_subset(esk36_4(X14,X15,X17,X26),X14,X15)
| ~ in(X26,esk34_3(X14,X15,X17))
| X17 = topstr_closure(X14,esk30_3(X14,X15,X17))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( element(esk37_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| X17 = topstr_closure(X14,esk30_3(X14,X15,X17))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X17 = topstr_closure(X14,esk36_4(X14,X15,X17,X26))
| ~ in(X26,esk34_3(X14,X15,X17))
| X17 = topstr_closure(X14,esk30_3(X14,X15,X17))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X26 = esk37_4(X14,X15,X17,X26)
| ~ in(X26,esk34_3(X14,X15,X17))
| X17 = topstr_closure(X14,esk30_3(X14,X15,X17))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk36_4(X14,X15,X17,X26) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))))
| ~ in(X26,esk34_3(X14,X15,X17))
| X17 = topstr_closure(X14,esk30_3(X14,X15,X17))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( ~ in(X30,the_carrier(X15))
| X30 != X26
| ~ netstr_induced_subset(X31,X14,X15)
| ~ element(X32,the_carrier(X15))
| X17 != topstr_closure(X14,X31)
| X26 != X32
| X31 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,X32)),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,X32)))
| in(X26,esk34_3(X14,X15,X17))
| X17 = topstr_closure(X14,esk30_3(X14,X15,X17))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( in(esk35_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk28_3(X14,X15,X17) = esk31_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk35_4(X14,X15,X17,X26) = X26
| ~ in(X26,esk34_3(X14,X15,X17))
| esk28_3(X14,X15,X17) = esk31_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( netstr_induced_subset(esk36_4(X14,X15,X17,X26),X14,X15)
| ~ in(X26,esk34_3(X14,X15,X17))
| esk28_3(X14,X15,X17) = esk31_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( element(esk37_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk28_3(X14,X15,X17) = esk31_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X17 = topstr_closure(X14,esk36_4(X14,X15,X17,X26))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk28_3(X14,X15,X17) = esk31_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X26 = esk37_4(X14,X15,X17,X26)
| ~ in(X26,esk34_3(X14,X15,X17))
| esk28_3(X14,X15,X17) = esk31_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk36_4(X14,X15,X17,X26) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk28_3(X14,X15,X17) = esk31_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( ~ in(X30,the_carrier(X15))
| X30 != X26
| ~ netstr_induced_subset(X31,X14,X15)
| ~ element(X32,the_carrier(X15))
| X17 != topstr_closure(X14,X31)
| X26 != X32
| X31 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,X32)),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,X32)))
| in(X26,esk34_3(X14,X15,X17))
| esk28_3(X14,X15,X17) = esk31_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( in(esk35_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk30_3(X14,X15,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk31_3(X14,X15,X17))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk31_3(X14,X15,X17))))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk35_4(X14,X15,X17,X26) = X26
| ~ in(X26,esk34_3(X14,X15,X17))
| esk30_3(X14,X15,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk31_3(X14,X15,X17))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk31_3(X14,X15,X17))))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( netstr_induced_subset(esk36_4(X14,X15,X17,X26),X14,X15)
| ~ in(X26,esk34_3(X14,X15,X17))
| esk30_3(X14,X15,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk31_3(X14,X15,X17))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk31_3(X14,X15,X17))))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( element(esk37_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk30_3(X14,X15,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk31_3(X14,X15,X17))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk31_3(X14,X15,X17))))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X17 = topstr_closure(X14,esk36_4(X14,X15,X17,X26))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk30_3(X14,X15,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk31_3(X14,X15,X17))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk31_3(X14,X15,X17))))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X26 = esk37_4(X14,X15,X17,X26)
| ~ in(X26,esk34_3(X14,X15,X17))
| esk30_3(X14,X15,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk31_3(X14,X15,X17))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk31_3(X14,X15,X17))))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk36_4(X14,X15,X17,X26) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk30_3(X14,X15,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk31_3(X14,X15,X17))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk31_3(X14,X15,X17))))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( ~ in(X30,the_carrier(X15))
| X30 != X26
| ~ netstr_induced_subset(X31,X14,X15)
| ~ element(X32,the_carrier(X15))
| X17 != topstr_closure(X14,X31)
| X26 != X32
| X31 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,X32)),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,X32)))
| in(X26,esk34_3(X14,X15,X17))
| esk30_3(X14,X15,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk31_3(X14,X15,X17))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk31_3(X14,X15,X17))))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( in(esk35_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk27_3(X14,X15,X17) = esk29_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk35_4(X14,X15,X17,X26) = X26
| ~ in(X26,esk34_3(X14,X15,X17))
| esk27_3(X14,X15,X17) = esk29_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( netstr_induced_subset(esk36_4(X14,X15,X17,X26),X14,X15)
| ~ in(X26,esk34_3(X14,X15,X17))
| esk27_3(X14,X15,X17) = esk29_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( element(esk37_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk27_3(X14,X15,X17) = esk29_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X17 = topstr_closure(X14,esk36_4(X14,X15,X17,X26))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk27_3(X14,X15,X17) = esk29_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X26 = esk37_4(X14,X15,X17,X26)
| ~ in(X26,esk34_3(X14,X15,X17))
| esk27_3(X14,X15,X17) = esk29_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk36_4(X14,X15,X17,X26) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk27_3(X14,X15,X17) = esk29_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( ~ in(X30,the_carrier(X15))
| X30 != X26
| ~ netstr_induced_subset(X31,X14,X15)
| ~ element(X32,the_carrier(X15))
| X17 != topstr_closure(X14,X31)
| X26 != X32
| X31 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,X32)),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,X32)))
| in(X26,esk34_3(X14,X15,X17))
| esk27_3(X14,X15,X17) = esk29_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( in(esk35_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| netstr_induced_subset(esk32_3(X14,X15,X17),X14,X15)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk35_4(X14,X15,X17,X26) = X26
| ~ in(X26,esk34_3(X14,X15,X17))
| netstr_induced_subset(esk32_3(X14,X15,X17),X14,X15)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( netstr_induced_subset(esk36_4(X14,X15,X17,X26),X14,X15)
| ~ in(X26,esk34_3(X14,X15,X17))
| netstr_induced_subset(esk32_3(X14,X15,X17),X14,X15)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( element(esk37_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| netstr_induced_subset(esk32_3(X14,X15,X17),X14,X15)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X17 = topstr_closure(X14,esk36_4(X14,X15,X17,X26))
| ~ in(X26,esk34_3(X14,X15,X17))
| netstr_induced_subset(esk32_3(X14,X15,X17),X14,X15)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X26 = esk37_4(X14,X15,X17,X26)
| ~ in(X26,esk34_3(X14,X15,X17))
| netstr_induced_subset(esk32_3(X14,X15,X17),X14,X15)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk36_4(X14,X15,X17,X26) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))))
| ~ in(X26,esk34_3(X14,X15,X17))
| netstr_induced_subset(esk32_3(X14,X15,X17),X14,X15)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( ~ in(X30,the_carrier(X15))
| X30 != X26
| ~ netstr_induced_subset(X31,X14,X15)
| ~ element(X32,the_carrier(X15))
| X17 != topstr_closure(X14,X31)
| X26 != X32
| X31 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,X32)),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,X32)))
| in(X26,esk34_3(X14,X15,X17))
| netstr_induced_subset(esk32_3(X14,X15,X17),X14,X15)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( in(esk35_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| element(esk33_3(X14,X15,X17),the_carrier(X15))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk35_4(X14,X15,X17,X26) = X26
| ~ in(X26,esk34_3(X14,X15,X17))
| element(esk33_3(X14,X15,X17),the_carrier(X15))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( netstr_induced_subset(esk36_4(X14,X15,X17,X26),X14,X15)
| ~ in(X26,esk34_3(X14,X15,X17))
| element(esk33_3(X14,X15,X17),the_carrier(X15))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( element(esk37_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| element(esk33_3(X14,X15,X17),the_carrier(X15))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X17 = topstr_closure(X14,esk36_4(X14,X15,X17,X26))
| ~ in(X26,esk34_3(X14,X15,X17))
| element(esk33_3(X14,X15,X17),the_carrier(X15))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X26 = esk37_4(X14,X15,X17,X26)
| ~ in(X26,esk34_3(X14,X15,X17))
| element(esk33_3(X14,X15,X17),the_carrier(X15))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk36_4(X14,X15,X17,X26) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))))
| ~ in(X26,esk34_3(X14,X15,X17))
| element(esk33_3(X14,X15,X17),the_carrier(X15))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( ~ in(X30,the_carrier(X15))
| X30 != X26
| ~ netstr_induced_subset(X31,X14,X15)
| ~ element(X32,the_carrier(X15))
| X17 != topstr_closure(X14,X31)
| X26 != X32
| X31 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,X32)),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,X32)))
| in(X26,esk34_3(X14,X15,X17))
| element(esk33_3(X14,X15,X17),the_carrier(X15))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( in(esk35_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| X17 = topstr_closure(X14,esk32_3(X14,X15,X17))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk35_4(X14,X15,X17,X26) = X26
| ~ in(X26,esk34_3(X14,X15,X17))
| X17 = topstr_closure(X14,esk32_3(X14,X15,X17))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( netstr_induced_subset(esk36_4(X14,X15,X17,X26),X14,X15)
| ~ in(X26,esk34_3(X14,X15,X17))
| X17 = topstr_closure(X14,esk32_3(X14,X15,X17))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( element(esk37_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| X17 = topstr_closure(X14,esk32_3(X14,X15,X17))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X17 = topstr_closure(X14,esk36_4(X14,X15,X17,X26))
| ~ in(X26,esk34_3(X14,X15,X17))
| X17 = topstr_closure(X14,esk32_3(X14,X15,X17))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X26 = esk37_4(X14,X15,X17,X26)
| ~ in(X26,esk34_3(X14,X15,X17))
| X17 = topstr_closure(X14,esk32_3(X14,X15,X17))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk36_4(X14,X15,X17,X26) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))))
| ~ in(X26,esk34_3(X14,X15,X17))
| X17 = topstr_closure(X14,esk32_3(X14,X15,X17))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( ~ in(X30,the_carrier(X15))
| X30 != X26
| ~ netstr_induced_subset(X31,X14,X15)
| ~ element(X32,the_carrier(X15))
| X17 != topstr_closure(X14,X31)
| X26 != X32
| X31 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,X32)),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,X32)))
| in(X26,esk34_3(X14,X15,X17))
| X17 = topstr_closure(X14,esk32_3(X14,X15,X17))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( in(esk35_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk29_3(X14,X15,X17) = esk33_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk35_4(X14,X15,X17,X26) = X26
| ~ in(X26,esk34_3(X14,X15,X17))
| esk29_3(X14,X15,X17) = esk33_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( netstr_induced_subset(esk36_4(X14,X15,X17,X26),X14,X15)
| ~ in(X26,esk34_3(X14,X15,X17))
| esk29_3(X14,X15,X17) = esk33_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( element(esk37_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk29_3(X14,X15,X17) = esk33_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X17 = topstr_closure(X14,esk36_4(X14,X15,X17,X26))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk29_3(X14,X15,X17) = esk33_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X26 = esk37_4(X14,X15,X17,X26)
| ~ in(X26,esk34_3(X14,X15,X17))
| esk29_3(X14,X15,X17) = esk33_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk36_4(X14,X15,X17,X26) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk29_3(X14,X15,X17) = esk33_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( ~ in(X30,the_carrier(X15))
| X30 != X26
| ~ netstr_induced_subset(X31,X14,X15)
| ~ element(X32,the_carrier(X15))
| X17 != topstr_closure(X14,X31)
| X26 != X32
| X31 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,X32)),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,X32)))
| in(X26,esk34_3(X14,X15,X17))
| esk29_3(X14,X15,X17) = esk33_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( in(esk35_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk32_3(X14,X15,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk33_3(X14,X15,X17))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk33_3(X14,X15,X17))))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk35_4(X14,X15,X17,X26) = X26
| ~ in(X26,esk34_3(X14,X15,X17))
| esk32_3(X14,X15,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk33_3(X14,X15,X17))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk33_3(X14,X15,X17))))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( netstr_induced_subset(esk36_4(X14,X15,X17,X26),X14,X15)
| ~ in(X26,esk34_3(X14,X15,X17))
| esk32_3(X14,X15,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk33_3(X14,X15,X17))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk33_3(X14,X15,X17))))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( element(esk37_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk32_3(X14,X15,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk33_3(X14,X15,X17))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk33_3(X14,X15,X17))))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X17 = topstr_closure(X14,esk36_4(X14,X15,X17,X26))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk32_3(X14,X15,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk33_3(X14,X15,X17))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk33_3(X14,X15,X17))))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X26 = esk37_4(X14,X15,X17,X26)
| ~ in(X26,esk34_3(X14,X15,X17))
| esk32_3(X14,X15,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk33_3(X14,X15,X17))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk33_3(X14,X15,X17))))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk36_4(X14,X15,X17,X26) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk32_3(X14,X15,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk33_3(X14,X15,X17))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk33_3(X14,X15,X17))))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( ~ in(X30,the_carrier(X15))
| X30 != X26
| ~ netstr_induced_subset(X31,X14,X15)
| ~ element(X32,the_carrier(X15))
| X17 != topstr_closure(X14,X31)
| X26 != X32
| X31 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,X32)),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,X32)))
| in(X26,esk34_3(X14,X15,X17))
| esk32_3(X14,X15,X17) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk33_3(X14,X15,X17))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk33_3(X14,X15,X17))))
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( in(esk35_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk28_3(X14,X15,X17) != esk29_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk35_4(X14,X15,X17,X26) = X26
| ~ in(X26,esk34_3(X14,X15,X17))
| esk28_3(X14,X15,X17) != esk29_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( netstr_induced_subset(esk36_4(X14,X15,X17,X26),X14,X15)
| ~ in(X26,esk34_3(X14,X15,X17))
| esk28_3(X14,X15,X17) != esk29_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( element(esk37_4(X14,X15,X17,X26),the_carrier(X15))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk28_3(X14,X15,X17) != esk29_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X17 = topstr_closure(X14,esk36_4(X14,X15,X17,X26))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk28_3(X14,X15,X17) != esk29_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( X26 = esk37_4(X14,X15,X17,X26)
| ~ in(X26,esk34_3(X14,X15,X17))
| esk28_3(X14,X15,X17) != esk29_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( esk36_4(X14,X15,X17,X26) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,esk37_4(X14,X15,X17,X26))))
| ~ in(X26,esk34_3(X14,X15,X17))
| esk28_3(X14,X15,X17) != esk29_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) )
& ( ~ in(X30,the_carrier(X15))
| X30 != X26
| ~ netstr_induced_subset(X31,X14,X15)
| ~ element(X32,the_carrier(X15))
| X17 != topstr_closure(X14,X31)
| X26 != X32
| X31 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X14,X15,X32)),the_carrier(X14),the_mapping(X14,subnetstr_of_element(X14,X15,X32)))
| in(X26,esk34_3(X14,X15,X17))
| esk28_3(X14,X15,X17) != esk29_3(X14,X15,X17)
| empty_carrier(X14)
| ~ topological_space(X14)
| ~ top_str(X14)
| empty_carrier(X15)
| ~ transitive_relstr(X15)
| ~ directed_relstr(X15)
| ~ net_str(X15,X14) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[s1_tarski__e6_39_3__yellow19__1])])])])])])])]) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X4] :
? [X5] :
! [X6] :
( in(X6,X5)
<=> ( in(X6,the_carrier(X2))
& ? [X7] :
( netstr_induced_subset(X7,X1,X2)
& ? [X8] :
( element(X8,the_carrier(X2))
& X4 = topstr_closure(X1,X7)
& X6 = X8
& X7 = relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X8)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X8))) ) ) ) ) ),
inference(assume_negation,[status(cth)],[s1_xboole_0__e6_39_3__yellow19__1]) ).
cnf(c_0_4,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk27_3(X2,X1,X3) = esk28_3(X2,X1,X3)
| in(X4,esk34_3(X2,X1,X3))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| X5 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,X6)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,X6)))
| X4 != X6
| X3 != topstr_closure(X2,X5)
| ~ element(X6,the_carrier(X1))
| ~ netstr_induced_subset(X5,X2,X1)
| X7 != X4
| ~ in(X7,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
fof(c_0_5,negated_conjecture,
! [X13,X15,X16] :
( ~ empty_carrier(esk1_0)
& topological_space(esk1_0)
& top_str(esk1_0)
& ~ empty_carrier(esk2_0)
& transitive_relstr(esk2_0)
& directed_relstr(esk2_0)
& net_str(esk2_0,esk1_0)
& ( ~ in(esk4_1(X13),X13)
| ~ in(esk4_1(X13),the_carrier(esk2_0))
| ~ netstr_induced_subset(X15,esk1_0,esk2_0)
| ~ element(X16,the_carrier(esk2_0))
| esk3_0 != topstr_closure(esk1_0,X15)
| esk4_1(X13) != X16
| X15 != relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X16)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X16))) )
& ( in(esk4_1(X13),the_carrier(esk2_0))
| in(esk4_1(X13),X13) )
& ( netstr_induced_subset(esk5_1(X13),esk1_0,esk2_0)
| in(esk4_1(X13),X13) )
& ( element(esk6_1(X13),the_carrier(esk2_0))
| in(esk4_1(X13),X13) )
& ( esk3_0 = topstr_closure(esk1_0,esk5_1(X13))
| in(esk4_1(X13),X13) )
& ( esk4_1(X13) = esk6_1(X13)
| in(esk4_1(X13),X13) )
& ( esk5_1(X13) = relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk6_1(X13))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk6_1(X13))))
| in(esk4_1(X13),X13) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_3])])])])])])])]) ).
cnf(c_0_6,plain,
( esk27_3(X1,X2,X3) = esk28_3(X1,X2,X3)
| in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X1)
| empty_carrier(X2)
| X5 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X4)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X4)))
| X3 != topstr_closure(X1,X5)
| ~ element(X4,the_carrier(X2))
| ~ netstr_induced_subset(X5,X1,X2)
| ~ in(X4,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_4])]) ).
cnf(c_0_7,negated_conjecture,
( in(esk4_1(X1),X1)
| esk5_1(X1) = relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk6_1(X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk6_1(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
net_str(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
directed_relstr(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
transitive_relstr(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,negated_conjecture,
top_str(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
topological_space(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
~ empty_carrier(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
~ empty_carrier(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,negated_conjecture,
( in(esk4_1(X1),X1)
| element(esk6_1(X1),the_carrier(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_16,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| X1 != topstr_closure(esk1_0,X3)
| X3 != esk5_1(X2)
| ~ netstr_induced_subset(X3,esk1_0,esk2_0)
| ~ in(esk6_1(X2),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]),c_0_14]),c_0_15]) ).
cnf(c_0_17,negated_conjecture,
( in(esk4_1(X1),X1)
| netstr_induced_subset(esk5_1(X1),esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X3),X3)
| in(esk4_1(X2),X2)
| X1 != topstr_closure(esk1_0,esk5_1(X3))
| esk5_1(X3) != esk5_1(X2)
| ~ in(esk6_1(X2),the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,negated_conjecture,
( in(esk4_1(X1),X1)
| esk3_0 = topstr_closure(esk1_0,esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| in(esk4_1(X3),X3)
| esk5_1(X3) != esk5_1(X2)
| X1 != esk3_0
| ~ in(esk6_1(X2),the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| X1 != esk3_0
| ~ in(esk6_1(X2),the_carrier(esk2_0)) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_22,negated_conjecture,
( in(esk4_1(X1),X1)
| esk4_1(X1) = esk6_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_23,negated_conjecture,
( in(esk4_1(X1),X1)
| in(esk4_1(X1),the_carrier(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk27_3(X2,X1,X3) = esk29_3(X2,X1,X3)
| in(X4,esk34_3(X2,X1,X3))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| X5 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,X6)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,X6)))
| X4 != X6
| X3 != topstr_closure(X2,X5)
| ~ element(X6,the_carrier(X1))
| ~ netstr_induced_subset(X5,X2,X1)
| X7 != X4
| ~ in(X7,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_25,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk28_3(X2,X1,X3) = esk31_3(X2,X1,X3)
| in(X4,esk34_3(X2,X1,X3))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| X5 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,X6)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,X6)))
| X4 != X6
| X3 != topstr_closure(X2,X5)
| ~ element(X6,the_carrier(X1))
| ~ netstr_induced_subset(X5,X2,X1)
| X7 != X4
| ~ in(X7,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_26,negated_conjecture,
( X1 != relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X2)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X2)))
| esk4_1(X3) != X2
| esk3_0 != topstr_closure(esk1_0,X1)
| ~ element(X2,the_carrier(esk2_0))
| ~ netstr_induced_subset(X1,esk1_0,esk2_0)
| ~ in(esk4_1(X3),the_carrier(esk2_0))
| ~ in(esk4_1(X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_27,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| in(esk4_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| X1 != esk3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_28,plain,
( esk27_3(X1,X2,X3) = esk29_3(X1,X2,X3)
| in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X1)
| empty_carrier(X2)
| X5 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X4)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X4)))
| X3 != topstr_closure(X1,X5)
| ~ element(X4,the_carrier(X2))
| ~ netstr_induced_subset(X5,X1,X2)
| ~ in(X4,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_24])]) ).
cnf(c_0_29,plain,
( esk28_3(X1,X2,X3) = esk31_3(X1,X2,X3)
| in(X4,esk34_3(X1,X2,X3))
| empty_carrier(X1)
| empty_carrier(X2)
| X5 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X4)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X4)))
| X3 != topstr_closure(X1,X5)
| ~ element(X4,the_carrier(X2))
| ~ netstr_induced_subset(X5,X1,X2)
| ~ in(X4,the_carrier(X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ transitive_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_25])]) ).
cnf(c_0_30,negated_conjecture,
( topstr_closure(esk1_0,relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X1)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X1)))) != esk3_0
| esk4_1(X2) != X1
| ~ element(X1,the_carrier(esk2_0))
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,X1)),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,X1))),esk1_0,esk2_0)
| ~ in(esk4_1(X2),the_carrier(esk2_0))
| ~ in(esk4_1(X2),X2) ),
inference(er,[status(thm)],[c_0_26]) ).
cnf(c_0_31,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk27_3(X2,X1,X3) = esk28_3(X2,X1,X3)
| esk36_4(X2,X1,X3,X4) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,esk37_4(X2,X1,X3,X4))),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,esk37_4(X2,X1,X3,X4))))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_32,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| X1 != topstr_closure(esk1_0,X3)
| X3 != esk5_1(X2)
| ~ netstr_induced_subset(X3,esk1_0,esk2_0)
| ~ in(esk6_1(X2),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_7]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]),c_0_14]),c_0_15]) ).
cnf(c_0_34,negated_conjecture,
( esk28_3(esk1_0,esk2_0,X1) = esk31_3(esk1_0,esk2_0,X1)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| X1 != topstr_closure(esk1_0,X3)
| X3 != esk5_1(X2)
| ~ netstr_induced_subset(X3,esk1_0,esk2_0)
| ~ in(esk6_1(X2),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_7]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]),c_0_14]),c_0_15]) ).
cnf(c_0_35,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| topstr_closure(esk1_0,esk36_4(esk1_0,esk2_0,X1,X2)) != esk3_0
| esk4_1(X3) != esk37_4(esk1_0,esk2_0,X1,X2)
| ~ element(esk37_4(esk1_0,esk2_0,X1,X2),the_carrier(esk2_0))
| ~ netstr_induced_subset(esk36_4(esk1_0,esk2_0,X1,X2),esk1_0,esk2_0)
| ~ in(X2,esk34_3(esk1_0,esk2_0,X1))
| ~ in(esk4_1(X3),the_carrier(esk2_0))
| ~ in(esk4_1(X3),X3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_36,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk27_3(X2,X1,X3) = esk28_3(X2,X1,X3)
| netstr_induced_subset(esk36_4(X2,X1,X3,X4),X2,X1)
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_37,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk27_3(X2,X1,X3) = esk28_3(X2,X1,X3)
| esk35_4(X2,X1,X3,X4) = X4
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_38,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_32]) ).
cnf(c_0_39,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X4,esk34_3(X2,X1,X3))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| esk28_3(X2,X1,X3) != esk29_3(X2,X1,X3)
| X5 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,X6)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,X6)))
| X4 != X6
| X3 != topstr_closure(X2,X5)
| ~ element(X6,the_carrier(X1))
| ~ netstr_induced_subset(X5,X2,X1)
| X7 != X4
| ~ in(X7,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_40,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X3),X3)
| in(esk4_1(X2),X2)
| X1 != topstr_closure(esk1_0,esk5_1(X3))
| esk5_1(X3) != esk5_1(X2)
| ~ in(esk6_1(X2),the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_17]) ).
cnf(c_0_41,negated_conjecture,
( esk28_3(esk1_0,esk2_0,X1) = esk31_3(esk1_0,esk2_0,X1)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X3),X3)
| in(esk4_1(X2),X2)
| X1 != topstr_closure(esk1_0,esk5_1(X3))
| esk5_1(X3) != esk5_1(X2)
| ~ in(esk6_1(X2),the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_17]) ).
cnf(c_0_42,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| topstr_closure(esk1_0,esk36_4(esk1_0,esk2_0,X1,X2)) != esk3_0
| esk4_1(X3) != esk37_4(esk1_0,esk2_0,X1,X2)
| ~ element(esk37_4(esk1_0,esk2_0,X1,X2),the_carrier(esk2_0))
| ~ in(X2,esk34_3(esk1_0,esk2_0,X1))
| ~ in(esk4_1(X3),the_carrier(esk2_0))
| ~ in(esk4_1(X3),X3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_43,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk27_3(X2,X1,X3) = esk28_3(X2,X1,X3)
| X3 = topstr_closure(X2,esk36_4(X2,X1,X3,X4))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_44,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk27_3(X2,X1,X3) = esk28_3(X2,X1,X3)
| in(esk35_4(X2,X1,X3,X4),the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_45,negated_conjecture,
( esk35_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_46,plain,
( in(X1,esk34_3(X2,X3,X4))
| empty_carrier(X2)
| empty_carrier(X3)
| X5 != relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X3,X1)),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X3,X1)))
| esk29_3(X2,X3,X4) != esk28_3(X2,X3,X4)
| X4 != topstr_closure(X2,X5)
| ~ element(X1,the_carrier(X3))
| ~ netstr_induced_subset(X5,X2,X3)
| ~ in(X1,the_carrier(X3))
| ~ net_str(X3,X2)
| ~ directed_relstr(X3)
| ~ transitive_relstr(X3)
| ~ top_str(X2)
| ~ topological_space(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_39])]) ).
cnf(c_0_47,negated_conjecture,
( relation_rng_as_subset(the_carrier(subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1))),the_carrier(esk1_0),the_mapping(esk1_0,subnetstr_of_element(esk1_0,esk2_0,esk4_1(X1)))) = esk5_1(X1)
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_22]) ).
cnf(c_0_48,negated_conjecture,
( element(esk4_1(X1),the_carrier(esk2_0))
| in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_22]) ).
cnf(c_0_49,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| in(esk4_1(X3),X3)
| esk5_1(X3) != esk5_1(X2)
| X1 != esk3_0
| ~ in(esk6_1(X2),the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_19]) ).
cnf(c_0_50,negated_conjecture,
( esk28_3(esk1_0,esk2_0,X1) = esk31_3(esk1_0,esk2_0,X1)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| in(esk4_1(X3),X3)
| esk5_1(X3) != esk5_1(X2)
| X1 != esk3_0
| ~ in(esk6_1(X2),the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_19]) ).
cnf(c_0_51,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| esk4_1(X2) != esk37_4(esk1_0,esk2_0,X1,X3)
| X1 != esk3_0
| ~ element(esk37_4(esk1_0,esk2_0,X1,X3),the_carrier(esk2_0))
| ~ in(X3,esk34_3(esk1_0,esk2_0,X1))
| ~ in(esk4_1(X2),the_carrier(esk2_0))
| ~ in(esk4_1(X2),X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_52,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk27_3(X2,X1,X3) = esk28_3(X2,X1,X3)
| element(esk37_4(X2,X1,X3,X4),the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_53,negated_conjecture,
( in(esk4_1(X1),X1)
| esk4_1(X2) != esk6_1(X1)
| ~ in(esk4_1(X2),the_carrier(esk2_0))
| ~ in(esk4_1(X2),X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_7]),c_0_17]),c_0_15]),c_0_19]) ).
cnf(c_0_54,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]),c_0_38]) ).
cnf(c_0_55,negated_conjecture,
( in(esk4_1(X1),esk34_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| esk29_3(esk1_0,esk2_0,X2) != esk28_3(esk1_0,esk2_0,X2)
| X2 != topstr_closure(esk1_0,X3)
| X3 != esk5_1(X1)
| ~ netstr_induced_subset(X3,esk1_0,esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]),c_0_14]),c_0_23]),c_0_48]) ).
cnf(c_0_56,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| X1 != esk3_0
| ~ in(esk6_1(X2),the_carrier(esk2_0)) ),
inference(er,[status(thm)],[c_0_49]) ).
cnf(c_0_57,negated_conjecture,
( esk28_3(esk1_0,esk2_0,X1) = esk31_3(esk1_0,esk2_0,X1)
| in(esk6_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| X1 != esk3_0
| ~ in(esk6_1(X2),the_carrier(esk2_0)) ),
inference(er,[status(thm)],[c_0_50]) ).
cnf(c_0_58,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk28_3(esk1_0,esk2_0,X1)
| esk4_1(X2) != esk37_4(esk1_0,esk2_0,X1,X3)
| X1 != esk3_0
| ~ in(X3,esk34_3(esk1_0,esk2_0,X1))
| ~ in(esk4_1(X2),the_carrier(esk2_0))
| ~ in(esk4_1(X2),X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_59,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk27_3(X2,X1,X3) = esk28_3(X2,X1,X3)
| X4 = esk37_4(X2,X1,X3,X4)
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_60,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),X1)
| esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)) != esk6_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_38]) ).
cnf(c_0_61,negated_conjecture,
( in(esk4_1(X1),esk34_3(esk1_0,esk2_0,X2))
| in(esk4_1(X3),X3)
| in(esk4_1(X1),X1)
| esk29_3(esk1_0,esk2_0,X2) != esk28_3(esk1_0,esk2_0,X2)
| X2 != topstr_closure(esk1_0,esk5_1(X3))
| esk5_1(X3) != esk5_1(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_17]) ).
cnf(c_0_62,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| in(esk4_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| X1 != esk3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_22]),c_0_23]) ).
cnf(c_0_63,negated_conjecture,
( esk28_3(esk1_0,esk2_0,X1) = esk31_3(esk1_0,esk2_0,X1)
| in(esk4_1(X2),esk34_3(esk1_0,esk2_0,X1))
| in(esk4_1(X2),X2)
| X1 != esk3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_22]),c_0_23]) ).
cnf(c_0_64,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| esk4_1(X1) != esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))
| ~ in(esk4_1(X1),the_carrier(esk2_0))
| ~ in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_38]) ).
cnf(c_0_65,negated_conjecture,
( esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_38]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_66,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),X1)
| esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_22]) ).
cnf(c_0_67,negated_conjecture,
( in(esk4_1(X1),esk34_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| in(esk4_1(X3),X3)
| esk29_3(esk1_0,esk2_0,X2) != esk28_3(esk1_0,esk2_0,X2)
| esk5_1(X3) != esk5_1(X1)
| X2 != esk3_0 ),
inference(spm,[status(thm)],[c_0_61,c_0_19]) ).
cnf(c_0_68,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(er,[status(thm)],[c_0_62]) ).
cnf(c_0_69,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk36_4(X2,X1,X3,X4) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,esk37_4(X2,X1,X3,X4))),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,esk37_4(X2,X1,X3,X4))))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| esk28_3(X2,X1,X3) != esk29_3(X2,X1,X3)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_70,negated_conjecture,
( esk28_3(esk1_0,esk2_0,esk3_0) = esk31_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(er,[status(thm)],[c_0_63]) ).
cnf(c_0_71,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| esk4_1(X1) != esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(X1),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_72,negated_conjecture,
( in(esk4_1(X1),esk34_3(esk1_0,esk2_0,X2))
| in(esk4_1(X1),X1)
| esk29_3(esk1_0,esk2_0,X2) != esk28_3(esk1_0,esk2_0,X2)
| X2 != esk3_0 ),
inference(er,[status(thm)],[c_0_67]) ).
cnf(c_0_73,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk27_3(X2,X1,X3) = esk29_3(X2,X1,X3)
| esk35_4(X2,X1,X3,X4) = X4
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_74,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( topstr_closure(esk1_0,esk36_4(esk1_0,esk2_0,X1,X2)) != esk3_0
| esk29_3(esk1_0,esk2_0,X1) != esk28_3(esk1_0,esk2_0,X1)
| esk4_1(X3) != esk37_4(esk1_0,esk2_0,X1,X2)
| ~ element(esk37_4(esk1_0,esk2_0,X1,X2),the_carrier(esk2_0))
| ~ netstr_induced_subset(esk36_4(esk1_0,esk2_0,X1,X2),esk1_0,esk2_0)
| ~ in(X2,esk34_3(esk1_0,esk2_0,X1))
| ~ in(esk4_1(X3),the_carrier(esk2_0))
| ~ in(esk4_1(X3),X3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_69]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_76,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| netstr_induced_subset(esk36_4(X2,X1,X3,X4),X2,X1)
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| esk28_3(X2,X1,X3) != esk29_3(X2,X1,X3)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_77,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk28_3(X2,X1,X3) = esk31_3(X2,X1,X3)
| esk35_4(X2,X1,X3,X4) = X4
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_78,negated_conjecture,
( esk28_3(esk1_0,esk2_0,esk3_0) = esk31_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(ef,[status(thm)],[c_0_70]) ).
cnf(c_0_79,negated_conjecture,
esk27_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_71]),c_0_54]) ).
cnf(c_0_80,negated_conjecture,
( in(esk4_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1)
| esk29_3(esk1_0,esk2_0,esk3_0) != esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(er,[status(thm)],[c_0_72]) ).
cnf(c_0_81,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk27_3(X2,X1,X3) = esk29_3(X2,X1,X3)
| X4 = esk37_4(X2,X1,X3,X4)
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_82,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk27_3(X2,X1,X3) = esk29_3(X2,X1,X3)
| in(esk35_4(X2,X1,X3,X4),the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_83,negated_conjecture,
( esk35_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_84,negated_conjecture,
( topstr_closure(esk1_0,esk36_4(esk1_0,esk2_0,X1,X2)) != esk3_0
| esk29_3(esk1_0,esk2_0,X1) != esk28_3(esk1_0,esk2_0,X1)
| esk4_1(X3) != esk37_4(esk1_0,esk2_0,X1,X2)
| ~ element(esk37_4(esk1_0,esk2_0,X1,X2),the_carrier(esk2_0))
| ~ in(X2,esk34_3(esk1_0,esk2_0,X1))
| ~ in(esk4_1(X3),the_carrier(esk2_0))
| ~ in(esk4_1(X3),X3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_85,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| X3 = topstr_closure(X2,esk36_4(X2,X1,X3,X4))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| esk28_3(X2,X1,X3) != esk29_3(X2,X1,X3)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_86,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk28_3(X2,X1,X3) = esk31_3(X2,X1,X3)
| in(esk35_4(X2,X1,X3,X4),the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_87,negated_conjecture,
( esk35_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| esk28_3(esk1_0,esk2_0,esk3_0) = esk31_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_88,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk27_3(X2,X1,X3) = esk29_3(X2,X1,X3)
| esk36_4(X2,X1,X3,X4) = relation_rng_as_subset(the_carrier(subnetstr_of_element(X2,X1,esk37_4(X2,X1,X3,X4))),the_carrier(X2),the_mapping(X2,subnetstr_of_element(X2,X1,esk37_4(X2,X1,X3,X4))))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_89,negated_conjecture,
( in(esk4_1(X1),esk34_3(esk1_0,esk2_0,esk3_0))
| in(esk4_1(X1),X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_79]),c_0_80]) ).
cnf(c_0_90,negated_conjecture,
( esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_74]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_91,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk27_3(X2,X1,X3) = esk29_3(X2,X1,X3)
| element(esk37_4(X2,X1,X3,X4),the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_92,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]),c_0_74]) ).
cnf(c_0_93,negated_conjecture,
( esk29_3(esk1_0,esk2_0,X1) != esk28_3(esk1_0,esk2_0,X1)
| esk4_1(X2) != esk37_4(esk1_0,esk2_0,X1,X3)
| X1 != esk3_0
| ~ element(esk37_4(esk1_0,esk2_0,X1,X3),the_carrier(esk2_0))
| ~ in(X3,esk34_3(esk1_0,esk2_0,X1))
| ~ in(esk4_1(X2),the_carrier(esk2_0))
| ~ in(esk4_1(X2),X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_94,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(esk37_4(X2,X1,X3,X4),the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| esk28_3(X2,X1,X3) != esk29_3(X2,X1,X3)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_95,negated_conjecture,
( esk28_3(esk1_0,esk2_0,esk3_0) = esk31_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]),c_0_78]) ).
cnf(c_0_96,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| topstr_closure(esk1_0,esk36_4(esk1_0,esk2_0,X1,X2)) != esk3_0
| esk4_1(X3) != esk37_4(esk1_0,esk2_0,X1,X2)
| ~ element(esk37_4(esk1_0,esk2_0,X1,X2),the_carrier(esk2_0))
| ~ netstr_induced_subset(esk36_4(esk1_0,esk2_0,X1,X2),esk1_0,esk2_0)
| ~ in(X2,esk34_3(esk1_0,esk2_0,X1))
| ~ in(esk4_1(X3),the_carrier(esk2_0))
| ~ in(esk4_1(X3),X3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_88]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_97,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk27_3(X2,X1,X3) = esk29_3(X2,X1,X3)
| netstr_induced_subset(esk36_4(X2,X1,X3,X4),X2,X1)
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_98,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| X4 = esk37_4(X2,X1,X3,X4)
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| esk28_3(X2,X1,X3) != esk29_3(X2,X1,X3)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_99,negated_conjecture,
in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),esk34_3(esk1_0,esk2_0,esk3_0)),
inference(ef,[status(thm)],[c_0_89]) ).
cnf(c_0_100,negated_conjecture,
( esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(rw,[status(thm)],[c_0_90,c_0_79]) ).
cnf(c_0_101,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| element(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_90]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]),c_0_74]) ).
cnf(c_0_102,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),X1)
| esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)) != esk6_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_92]),c_0_74]) ).
cnf(c_0_103,negated_conjecture,
( esk29_3(esk1_0,esk2_0,X1) != esk28_3(esk1_0,esk2_0,X1)
| esk4_1(X2) != esk37_4(esk1_0,esk2_0,X1,X3)
| X1 != esk3_0
| ~ in(X3,esk34_3(esk1_0,esk2_0,X1))
| ~ in(esk4_1(X2),the_carrier(esk2_0))
| ~ in(esk4_1(X2),X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_104,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk28_3(X2,X1,X3) = esk31_3(X2,X1,X3)
| X4 = esk37_4(X2,X1,X3,X4)
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_105,negated_conjecture,
( esk28_3(esk1_0,esk2_0,esk3_0) = esk31_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),X1)
| esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)) != esk6_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_95]),c_0_78]) ).
cnf(c_0_106,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| topstr_closure(esk1_0,esk36_4(esk1_0,esk2_0,X1,X2)) != esk3_0
| esk4_1(X3) != esk37_4(esk1_0,esk2_0,X1,X2)
| ~ element(esk37_4(esk1_0,esk2_0,X1,X2),the_carrier(esk2_0))
| ~ in(X2,esk34_3(esk1_0,esk2_0,X1))
| ~ in(esk4_1(X3),the_carrier(esk2_0))
| ~ in(esk4_1(X3),X3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_107,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk27_3(X2,X1,X3) = esk29_3(X2,X1,X3)
| X3 = topstr_closure(X2,esk36_4(X2,X1,X3,X4))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_108,negated_conjecture,
esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]),c_0_100]) ).
cnf(c_0_109,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| element(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)) ),
inference(rw,[status(thm)],[c_0_101,c_0_79]) ).
cnf(c_0_110,negated_conjecture,
( esk27_3(esk1_0,esk2_0,esk3_0) = esk29_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),X1)
| esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_22]) ).
cnf(c_0_111,negated_conjecture,
( esk28_3(esk1_0,esk2_0,esk3_0) = esk31_3(esk1_0,esk2_0,esk3_0)
| esk4_1(X1) != esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)))
| esk29_3(esk1_0,esk2_0,esk3_0) != esk28_3(esk1_0,esk2_0,esk3_0)
| ~ in(esk4_1(X1),the_carrier(esk2_0))
| ~ in(esk4_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_78]) ).
cnf(c_0_112,negated_conjecture,
( esk37_4(esk1_0,esk2_0,esk3_0,esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))) = esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| esk28_3(esk1_0,esk2_0,esk3_0) = esk31_3(esk1_0,esk2_0,esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_78]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_113,negated_conjecture,
( esk28_3(esk1_0,esk2_0,esk3_0) = esk31_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),X1)
| esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_22]) ).
cnf(c_0_114,negated_conjecture,
( esk27_3(esk1_0,esk2_0,X1) = esk29_3(esk1_0,esk2_0,X1)
| esk4_1(X2) != esk37_4(esk1_0,esk2_0,X1,X3)
| X1 != esk3_0
| ~ element(esk37_4(esk1_0,esk2_0,X1,X3),the_carrier(esk2_0))
| ~ in(X3,esk34_3(esk1_0,esk2_0,X1))
| ~ in(esk4_1(X2),the_carrier(esk2_0))
| ~ in(esk4_1(X2),X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_115,negated_conjecture,
element(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_108]),c_0_99]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]),c_0_109]) ).
cnf(c_0_116,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(X1),X1)
| esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)) != esk4_1(X1) ),
inference(rw,[status(thm)],[c_0_110,c_0_79]) ).
cnf(c_0_117,negated_conjecture,
( esk28_3(esk1_0,esk2_0,esk3_0) = esk31_3(esk1_0,esk2_0,esk3_0)
| esk29_3(esk1_0,esk2_0,esk3_0) != esk28_3(esk1_0,esk2_0,esk3_0)
| esk4_1(X1) != esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(X1),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).
cnf(c_0_118,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| esk4_1(X1) != esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(X1),the_carrier(esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_108]),c_0_79]),c_0_115]),c_0_99])]),c_0_116]) ).
cnf(c_0_119,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0)
| in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)) ),
inference(rw,[status(thm)],[c_0_92,c_0_79]) ).
cnf(c_0_120,negated_conjecture,
( esk28_3(esk1_0,esk2_0,esk3_0) = esk31_3(esk1_0,esk2_0,esk3_0)
| esk29_3(esk1_0,esk2_0,esk3_0) != esk28_3(esk1_0,esk2_0,esk3_0) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_117]),c_0_95]) ).
cnf(c_0_121,negated_conjecture,
esk29_3(esk1_0,esk2_0,esk3_0) = esk28_3(esk1_0,esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_118]),c_0_119]) ).
cnf(c_0_122,negated_conjecture,
esk28_3(esk1_0,esk2_0,esk3_0) = esk31_3(esk1_0,esk2_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]) ).
cnf(c_0_123,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| esk35_4(X2,X1,X3,X4) = X4
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| esk28_3(X2,X1,X3) != esk29_3(X2,X1,X3)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_124,negated_conjecture,
esk29_3(esk1_0,esk2_0,esk3_0) = esk31_3(esk1_0,esk2_0,esk3_0),
inference(rw,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_125,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) != esk28_3(esk1_0,esk2_0,esk3_0)
| esk4_1(X1) != esk4_1(esk34_3(esk1_0,esk2_0,esk3_0))
| ~ in(esk4_1(X1),the_carrier(esk2_0))
| ~ in(esk4_1(X1),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_99]),c_0_108]) ).
cnf(c_0_126,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(esk35_4(X2,X1,X3,X4),the_carrier(X1))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| esk28_3(X2,X1,X3) != esk29_3(X2,X1,X3)
| ~ in(X4,esk34_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_127,negated_conjecture,
( esk35_4(esk1_0,esk2_0,esk3_0,X1) = X1
| ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_122]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_128,negated_conjecture,
( esk29_3(esk1_0,esk2_0,esk3_0) != esk28_3(esk1_0,esk2_0,esk3_0)
| ~ in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_125]),c_0_99])]) ).
cnf(c_0_129,negated_conjecture,
( in(X1,the_carrier(esk2_0))
| ~ in(X1,esk34_3(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_121]),c_0_122]),c_0_122]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_14]),c_0_13]) ).
cnf(c_0_130,negated_conjecture,
~ in(esk4_1(esk34_3(esk1_0,esk2_0,esk3_0)),the_carrier(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_121])]) ).
cnf(c_0_131,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_23]),c_0_130]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEU399+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.11 % Command : run_ET %s %d
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jun 20 05:05:15 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.33/23.40 eprover: CPU time limit exceeded, terminating
% 0.33/23.41 eprover: CPU time limit exceeded, terminating
% 0.33/23.43 eprover: CPU time limit exceeded, terminating
% 0.33/23.44 eprover: CPU time limit exceeded, terminating
% 0.35/26.51 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.35/26.51
% 0.35/26.51 # Failure: Resource limit exceeded (time)
% 0.35/26.51 # OLD status Res
% 0.35/26.51 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.35/26.51 # Preprocessing time : 0.039 s
% 0.35/26.51 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.35/26.51 # Preprocessing time : 0.033 s
% 0.35/26.51
% 0.35/26.51 # Proof found!
% 0.35/26.51 # SZS status Theorem
% 0.35/26.51 # SZS output start CNFRefutation
% See solution above
% 0.35/26.51 # Proof object total steps : 132
% 0.35/26.51 # Proof object clause steps : 127
% 0.35/26.51 # Proof object formula steps : 5
% 0.35/26.51 # Proof object conjectures : 98
% 0.35/26.51 # Proof object clause conjectures : 95
% 0.35/26.51 # Proof object formula conjectures : 3
% 0.35/26.51 # Proof object initial clauses used : 42
% 0.35/26.51 # Proof object initial formulas used : 2
% 0.35/26.51 # Proof object generating inferences : 73
% 0.35/26.51 # Proof object simplifying inferences : 290
% 0.35/26.51 # Training examples: 0 positive, 0 negative
% 0.35/26.51 # Parsed axioms : 69
% 0.35/26.51 # Removed by relevancy pruning/SinE : 0
% 0.35/26.51 # Initial clauses : 263
% 0.35/26.51 # Removed in clause preprocessing : 10
% 0.35/26.51 # Initial clauses in saturation : 253
% 0.35/26.51 # Processed clauses : 8747
% 0.35/26.51 # ...of these trivial : 186
% 0.35/26.51 # ...subsumed : 5404
% 0.35/26.51 # ...remaining for further processing : 3157
% 0.35/26.51 # Other redundant clauses eliminated : 83
% 0.35/26.51 # Clauses deleted for lack of memory : 0
% 0.35/26.51 # Backward-subsumed : 1007
% 0.35/26.51 # Backward-rewritten : 539
% 0.35/26.51 # Generated clauses : 57080
% 0.35/26.51 # ...of the previous two non-trivial : 56439
% 0.35/26.51 # Contextual simplify-reflections : 10236
% 0.35/26.51 # Paramodulations : 56691
% 0.35/26.51 # Factorizations : 24
% 0.35/26.51 # Equation resolutions : 377
% 0.35/26.51 # Current number of processed clauses : 1597
% 0.35/26.51 # Positive orientable unit clauses : 30
% 0.35/26.51 # Positive unorientable unit clauses: 0
% 0.35/26.51 # Negative unit clauses : 12
% 0.35/26.51 # Non-unit-clauses : 1555
% 0.35/26.51 # Current number of unprocessed clauses: 21875
% 0.35/26.51 # ...number of literals in the above : 263308
% 0.35/26.51 # Current number of archived formulas : 0
% 0.35/26.51 # Current number of archived clauses : 1547
% 0.35/26.51 # Clause-clause subsumption calls (NU) : 3626278
% 0.35/26.51 # Rec. Clause-clause subsumption calls : 406700
% 0.35/26.51 # Non-unit clause-clause subsumptions : 16531
% 0.35/26.51 # Unit Clause-clause subsumption calls : 3436
% 0.35/26.51 # Rewrite failures with RHS unbound : 0
% 0.35/26.51 # BW rewrite match attempts : 57
% 0.35/26.51 # BW rewrite match successes : 14
% 0.35/26.51 # Condensation attempts : 0
% 0.35/26.51 # Condensation successes : 0
% 0.35/26.51 # Termbank termtop insertions : 2656517
% 0.35/26.51
% 0.35/26.51 # -------------------------------------------------
% 0.35/26.51 # User time : 2.661 s
% 0.35/26.51 # System time : 0.037 s
% 0.35/26.51 # Total time : 2.698 s
% 0.35/26.51 # Maximum resident set size: 46444 pages
% 0.35/46.43 eprover: CPU time limit exceeded, terminating
% 0.35/46.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.44 eprover: No such file or directory
% 0.35/46.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.44 eprover: No such file or directory
% 0.35/46.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.45 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.46 eprover: No such file or directory
% 0.35/46.46 eprover: CPU time limit exceeded, terminating
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.47 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.48 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.49 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.49 eprover: No such file or directory
% 0.35/46.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.49 eprover: No such file or directory
% 0.35/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.50 eprover: No such file or directory
% 0.35/46.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.50 eprover: No such file or directory
% 0.35/46.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.51 eprover: No such file or directory
% 0.35/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.52 eprover: No such file or directory
% 0.35/46.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.52 eprover: No such file or directory
% 0.35/46.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.35/46.53 eprover: No such file or directory
%------------------------------------------------------------------------------