TSTP Solution File: SEU348+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SEU348+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 : 0s
% DateTime : Tue Jul 19 07:12:39 EDT 2022
% Result : Theorem 10.65s 11.04s
% Output : Refutation 10.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU348+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Mon Jun 20 13:37:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/1.11 *** allocated 10000 integers for termspace/termends
% 0.71/1.11 *** allocated 10000 integers for clauses
% 0.71/1.11 *** allocated 10000 integers for justifications
% 0.71/1.11 Bliksem 1.12
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Automatic Strategy Selection
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Clauses:
% 0.71/1.11
% 0.71/1.11 { ! rel_str( X ), ! strict_rel_str( X ), X = rel_str_of( the_carrier( X ),
% 0.71/1.11 the_InternalRel( X ) ) }.
% 0.71/1.11 { ! in( X, Y ), ! in( Y, X ) }.
% 0.71/1.11 { ! latt_str( X ), empty_carrier( X ), ! lattice( X ), alpha1( X ) }.
% 0.71/1.11 { ! latt_str( X ), empty_carrier( X ), ! lattice( X ), join_absorbing( X )
% 0.71/1.11 }.
% 0.71/1.11 { ! alpha1( X ), alpha8( X ) }.
% 0.71/1.11 { ! alpha1( X ), meet_absorbing( X ) }.
% 0.71/1.11 { ! alpha8( X ), ! meet_absorbing( X ), alpha1( X ) }.
% 0.71/1.11 { ! alpha8( X ), alpha13( X ) }.
% 0.71/1.11 { ! alpha8( X ), meet_associative( X ) }.
% 0.71/1.11 { ! alpha13( X ), ! meet_associative( X ), alpha8( X ) }.
% 0.71/1.11 { ! alpha13( X ), alpha14( X ) }.
% 0.71/1.11 { ! alpha13( X ), meet_commutative( X ) }.
% 0.71/1.11 { ! alpha14( X ), ! meet_commutative( X ), alpha13( X ) }.
% 0.71/1.11 { ! alpha14( X ), ! empty_carrier( X ) }.
% 0.71/1.11 { ! alpha14( X ), join_commutative( X ) }.
% 0.71/1.11 { ! alpha14( X ), join_associative( X ) }.
% 0.71/1.11 { empty_carrier( X ), ! join_commutative( X ), ! join_associative( X ),
% 0.71/1.11 alpha14( X ) }.
% 0.71/1.11 { ! element( X, powerset( cartesian_product2( Y, Z ) ) ), relation( X ) }.
% 0.71/1.11 { ! latt_str( X ), empty_carrier( X ), ! join_commutative( X ), !
% 0.71/1.11 join_associative( X ), ! meet_commutative( X ), ! meet_associative( X ),
% 0.71/1.11 ! meet_absorbing( X ), ! join_absorbing( X ), ! empty_carrier( X ) }.
% 0.71/1.11 { ! latt_str( X ), empty_carrier( X ), ! join_commutative( X ), !
% 0.71/1.11 join_associative( X ), ! meet_commutative( X ), ! meet_associative( X ),
% 0.71/1.11 ! meet_absorbing( X ), ! join_absorbing( X ), lattice( X ) }.
% 0.71/1.11 { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), poset_of_lattice( X
% 0.71/1.11 ) = rel_str_of( the_carrier( X ), k2_lattice3( X ) ) }.
% 0.71/1.11 { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y,
% 0.71/1.11 the_carrier( X ) ), cast_to_el_of_LattPOSet( X, Y ) = Y }.
% 0.71/1.11 { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y,
% 0.71/1.11 the_carrier( poset_of_lattice( X ) ) ), cast_to_el_of_lattice( X, Y ) = Y
% 0.71/1.11 }.
% 0.71/1.11 { ! relation_of2( Y, X, X ), strict_rel_str( rel_str_of( X, Y ) ) }.
% 0.71/1.11 { ! relation_of2( Y, X, X ), rel_str( rel_str_of( X, Y ) ) }.
% 0.71/1.11 { && }.
% 0.71/1.11 { && }.
% 0.71/1.11 { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), alpha2( X ) }.
% 0.71/1.11 { empty_carrier( X ), ! lattice( X ), ! latt_str( X ),
% 0.71/1.11 relation_of2_as_subset( k2_lattice3( X ), the_carrier( X ), the_carrier(
% 0.71/1.11 X ) ) }.
% 0.71/1.11 { ! alpha2( X ), alpha9( X ) }.
% 0.71/1.11 { ! alpha2( X ), v1_partfun1( k2_lattice3( X ), the_carrier( X ),
% 0.71/1.11 the_carrier( X ) ) }.
% 0.71/1.11 { ! alpha9( X ), ! v1_partfun1( k2_lattice3( X ), the_carrier( X ),
% 0.71/1.11 the_carrier( X ) ), alpha2( X ) }.
% 0.71/1.11 { ! alpha9( X ), reflexive( k2_lattice3( X ) ) }.
% 0.71/1.11 { ! alpha9( X ), antisymmetric( k2_lattice3( X ) ) }.
% 0.71/1.11 { ! alpha9( X ), transitive( k2_lattice3( X ) ) }.
% 0.71/1.11 { ! reflexive( k2_lattice3( X ) ), ! antisymmetric( k2_lattice3( X ) ), !
% 0.71/1.11 transitive( k2_lattice3( X ) ), alpha9( X ) }.
% 0.71/1.11 { && }.
% 0.71/1.11 { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), alpha3( X ) }.
% 0.71/1.11 { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), rel_str(
% 0.71/1.11 poset_of_lattice( X ) ) }.
% 0.71/1.11 { ! alpha3( X ), alpha10( X ) }.
% 0.71/1.11 { ! alpha3( X ), antisymmetric_relstr( poset_of_lattice( X ) ) }.
% 0.71/1.11 { ! alpha10( X ), ! antisymmetric_relstr( poset_of_lattice( X ) ), alpha3(
% 0.71/1.11 X ) }.
% 0.71/1.11 { ! alpha10( X ), strict_rel_str( poset_of_lattice( X ) ) }.
% 0.71/1.11 { ! alpha10( X ), reflexive_relstr( poset_of_lattice( X ) ) }.
% 0.71/1.11 { ! alpha10( X ), transitive_relstr( poset_of_lattice( X ) ) }.
% 0.71/1.11 { ! strict_rel_str( poset_of_lattice( X ) ), ! reflexive_relstr(
% 0.71/1.11 poset_of_lattice( X ) ), ! transitive_relstr( poset_of_lattice( X ) ),
% 0.71/1.11 alpha10( X ) }.
% 0.71/1.11 { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y,
% 0.71/1.11 the_carrier( X ) ), element( cast_to_el_of_LattPOSet( X, Y ), the_carrier
% 0.71/1.11 ( poset_of_lattice( X ) ) ) }.
% 0.71/1.11 { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y,
% 0.71/1.11 the_carrier( poset_of_lattice( X ) ) ), element( cast_to_el_of_lattice( X
% 0.71/1.11 , Y ), the_carrier( X ) ) }.
% 0.71/1.11 { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), relation(
% 0.71/1.11 relation_of_lattice( X ) ) }.
% 0.71/1.11 { ! meet_semilatt_str( X ), one_sorted_str( X ) }.
% 0.71/1.11 { ! rel_str( X ), one_sorted_str( X ) }.
% 0.71/1.11 { && }.
% 0.71/1.11 { ! join_semilatt_str( X ), one_sorted_str( X ) }.
% 0.71/1.11 { ! latt_str( X ), meet_semilatt_str( X ) }.
% 0.71/1.11 { ! latt_str( X ), join_semilatt_str( X ) }.
% 0.71/1.11 { && }.
% 0.71/1.11 { && }.
% 0.71/1.11 { ! relation_of2_as_subset( Z, X, Y ), element( Z, powerset(
% 0.71/1.11 cartesian_product2( X, Y ) ) ) }.
% 0.71/1.11 { ! rel_str( X ), relation_of2_as_subset( the_InternalRel( X ), the_carrier
% 0.71/1.11 ( X ), the_carrier( X ) ) }.
% 0.71/1.11 { && }.
% 0.71/1.11 { meet_semilatt_str( skol1 ) }.
% 0.71/1.11 { rel_str( skol2 ) }.
% 0.71/1.11 { one_sorted_str( skol3 ) }.
% 0.71/1.11 { join_semilatt_str( skol4 ) }.
% 0.71/1.11 { latt_str( skol5 ) }.
% 0.71/1.11 { relation_of2( skol6( X, Y ), X, Y ) }.
% 0.71/1.11 { element( skol7( X ), X ) }.
% 0.71/1.11 { relation_of2_as_subset( skol8( X, Y ), X, Y ) }.
% 0.71/1.11 { empty( X ), ! relation_of2( Y, X, X ), ! empty_carrier( rel_str_of( X, Y
% 0.71/1.11 ) ) }.
% 0.71/1.11 { empty( X ), ! relation_of2( Y, X, X ), strict_rel_str( rel_str_of( X, Y )
% 0.71/1.11 ) }.
% 0.71/1.11 { empty_carrier( X ), ! one_sorted_str( X ), ! empty( the_carrier( X ) ) }
% 0.71/1.11 .
% 0.71/1.11 { ! empty( powerset( X ) ) }.
% 0.71/1.11 { empty( empty_set ) }.
% 0.71/1.11 { ! reflexive_relstr( X ), ! transitive_relstr( X ), ! antisymmetric_relstr
% 0.71/1.11 ( X ), ! rel_str( X ), alpha4( X ) }.
% 0.71/1.11 { ! reflexive_relstr( X ), ! transitive_relstr( X ), ! antisymmetric_relstr
% 0.71/1.11 ( X ), ! rel_str( X ), v1_partfun1( the_InternalRel( X ), the_carrier( X
% 0.71/1.11 ), the_carrier( X ) ) }.
% 0.71/1.11 { ! alpha4( X ), alpha11( X ) }.
% 0.71/1.11 { ! alpha4( X ), transitive( the_InternalRel( X ) ) }.
% 0.71/1.11 { ! alpha11( X ), ! transitive( the_InternalRel( X ) ), alpha4( X ) }.
% 0.71/1.11 { ! alpha11( X ), relation( the_InternalRel( X ) ) }.
% 0.71/1.11 { ! alpha11( X ), reflexive( the_InternalRel( X ) ) }.
% 0.71/1.11 { ! alpha11( X ), antisymmetric( the_InternalRel( X ) ) }.
% 0.71/1.11 { ! relation( the_InternalRel( X ) ), ! reflexive( the_InternalRel( X ) ),
% 0.71/1.11 ! antisymmetric( the_InternalRel( X ) ), alpha11( X ) }.
% 0.71/1.11 { ! reflexive( Y ), ! antisymmetric( Y ), ! transitive( Y ), ! v1_partfun1
% 0.71/1.11 ( Y, X, X ), ! relation_of2( Y, X, X ), alpha5( X, Y ) }.
% 0.71/1.11 { ! reflexive( Y ), ! antisymmetric( Y ), ! transitive( Y ), ! v1_partfun1
% 0.71/1.11 ( Y, X, X ), ! relation_of2( Y, X, X ), antisymmetric_relstr( rel_str_of
% 0.71/1.11 ( X, Y ) ) }.
% 0.71/1.11 { ! alpha5( X, Y ), strict_rel_str( rel_str_of( X, Y ) ) }.
% 0.71/1.11 { ! alpha5( X, Y ), reflexive_relstr( rel_str_of( X, Y ) ) }.
% 0.71/1.11 { ! alpha5( X, Y ), transitive_relstr( rel_str_of( X, Y ) ) }.
% 0.71/1.11 { ! strict_rel_str( rel_str_of( X, Y ) ), ! reflexive_relstr( rel_str_of( X
% 0.71/1.11 , Y ) ), ! transitive_relstr( rel_str_of( X, Y ) ), alpha5( X, Y ) }.
% 0.71/1.11 { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), alpha6( X ) }.
% 0.71/1.11 { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), antisymmetric_relstr
% 0.71/1.11 ( poset_of_lattice( X ) ) }.
% 0.71/1.11 { ! alpha6( X ), alpha12( X ) }.
% 0.71/1.11 { ! alpha6( X ), transitive_relstr( poset_of_lattice( X ) ) }.
% 0.71/1.11 { ! alpha12( X ), ! transitive_relstr( poset_of_lattice( X ) ), alpha6( X )
% 0.71/1.11 }.
% 0.71/1.11 { ! alpha12( X ), ! empty_carrier( poset_of_lattice( X ) ) }.
% 0.71/1.11 { ! alpha12( X ), strict_rel_str( poset_of_lattice( X ) ) }.
% 0.71/1.11 { ! alpha12( X ), reflexive_relstr( poset_of_lattice( X ) ) }.
% 0.71/1.11 { empty_carrier( poset_of_lattice( X ) ), ! strict_rel_str(
% 0.71/1.11 poset_of_lattice( X ) ), ! reflexive_relstr( poset_of_lattice( X ) ),
% 0.71/1.11 alpha12( X ) }.
% 0.71/1.11 { empty( X ), empty( Y ), ! empty( cartesian_product2( X, Y ) ) }.
% 0.71/1.11 { ! relation_of2( Y, X, X ), ! rel_str_of( X, Y ) = rel_str_of( Z, T ), X =
% 0.71/1.11 Z }.
% 0.71/1.11 { ! relation_of2( Y, X, X ), ! rel_str_of( X, Y ) = rel_str_of( Z, T ), Y =
% 0.71/1.11 T }.
% 0.71/1.11 { rel_str( skol9 ) }.
% 0.71/1.11 { strict_rel_str( skol9 ) }.
% 0.71/1.11 { empty( X ), ! empty( skol10( Y ) ) }.
% 0.71/1.11 { empty( X ), element( skol10( X ), powerset( X ) ) }.
% 0.71/1.11 { empty( skol11 ) }.
% 0.71/1.11 { rel_str( skol12 ) }.
% 0.71/1.11 { ! empty_carrier( skol12 ) }.
% 0.71/1.11 { strict_rel_str( skol12 ) }.
% 0.71/1.11 { reflexive_relstr( skol12 ) }.
% 0.71/1.11 { transitive_relstr( skol12 ) }.
% 0.71/1.11 { antisymmetric_relstr( skol12 ) }.
% 0.71/1.11 { empty( skol13( Y ) ) }.
% 0.71/1.11 { element( skol13( X ), powerset( X ) ) }.
% 0.71/1.11 { ! empty( skol14 ) }.
% 0.71/1.11 { one_sorted_str( skol15 ) }.
% 0.71/1.11 { ! empty_carrier( skol15 ) }.
% 0.71/1.11 { empty_carrier( X ), ! one_sorted_str( X ), ! empty( skol16( Y ) ) }.
% 0.71/1.11 { empty_carrier( X ), ! one_sorted_str( X ), element( skol16( X ), powerset
% 0.71/1.11 ( the_carrier( X ) ) ) }.
% 0.71/1.11 { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), k2_lattice3( X ) =
% 0.71/1.11 relation_of_lattice( X ) }.
% 0.71/1.11 { ! relation_of2_as_subset( Z, X, Y ), relation_of2( Z, X, Y ) }.
% 0.74/1.51 { ! relation_of2( Z, X, Y ), relation_of2_as_subset( Z, X, Y ) }.
% 0.74/1.51 { subset( X, X ) }.
% 0.74/1.51 { ! in( X, Y ), element( X, Y ) }.
% 0.74/1.51 { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y,
% 0.74/1.51 the_carrier( X ) ), ! latt_set_smaller( X, Y, Z ), relstr_element_smaller
% 0.74/1.51 ( poset_of_lattice( X ), Z, cast_to_el_of_LattPOSet( X, Y ) ) }.
% 0.74/1.51 { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y,
% 0.74/1.51 the_carrier( X ) ), ! relstr_element_smaller( poset_of_lattice( X ), Z,
% 0.74/1.51 cast_to_el_of_LattPOSet( X, Y ) ), latt_set_smaller( X, Y, Z ) }.
% 0.74/1.51 { ! empty_carrier( skol17 ) }.
% 0.74/1.51 { lattice( skol17 ) }.
% 0.74/1.51 { latt_str( skol17 ) }.
% 0.74/1.51 { element( skol18, the_carrier( poset_of_lattice( skol17 ) ) ) }.
% 0.74/1.51 { alpha7( skol17, skol18, skol19 ), latt_set_smaller( skol17,
% 0.74/1.51 cast_to_el_of_lattice( skol17, skol18 ), skol19 ) }.
% 0.74/1.51 { alpha7( skol17, skol18, skol19 ), ! relstr_element_smaller(
% 0.74/1.51 poset_of_lattice( skol17 ), skol19, skol18 ) }.
% 0.74/1.51 { ! alpha7( X, Y, Z ), relstr_element_smaller( poset_of_lattice( X ), Z, Y
% 0.74/1.51 ) }.
% 0.74/1.51 { ! alpha7( X, Y, Z ), ! latt_set_smaller( X, cast_to_el_of_lattice( X, Y )
% 0.74/1.51 , Z ) }.
% 0.74/1.51 { ! relstr_element_smaller( poset_of_lattice( X ), Z, Y ), latt_set_smaller
% 0.74/1.51 ( X, cast_to_el_of_lattice( X, Y ), Z ), alpha7( X, Y, Z ) }.
% 0.74/1.51 { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.74/1.51 { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 0.74/1.51 { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 0.74/1.51 { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 0.74/1.51 { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 0.74/1.51 { ! empty( X ), X = empty_set }.
% 0.74/1.51 { ! in( X, Y ), ! empty( Y ) }.
% 0.74/1.51 { ! empty( X ), X = Y, ! empty( Y ) }.
% 0.74/1.51
% 0.74/1.51 percentage equality = 0.033033, percentage horn = 0.805970
% 0.74/1.51 This is a problem with some equality
% 0.74/1.51
% 0.74/1.51
% 0.74/1.51
% 0.74/1.51 Options Used:
% 0.74/1.51
% 0.74/1.51 useres = 1
% 0.74/1.51 useparamod = 1
% 0.74/1.51 useeqrefl = 1
% 0.74/1.51 useeqfact = 1
% 0.74/1.51 usefactor = 1
% 0.74/1.51 usesimpsplitting = 0
% 0.74/1.51 usesimpdemod = 5
% 0.74/1.51 usesimpres = 3
% 0.74/1.51
% 0.74/1.51 resimpinuse = 1000
% 0.74/1.51 resimpclauses = 20000
% 0.74/1.51 substype = eqrewr
% 0.74/1.51 backwardsubs = 1
% 0.74/1.51 selectoldest = 5
% 0.74/1.51
% 0.74/1.51 litorderings [0] = split
% 0.74/1.51 litorderings [1] = extend the termordering, first sorting on arguments
% 0.74/1.51
% 0.74/1.51 termordering = kbo
% 0.74/1.51
% 0.74/1.51 litapriori = 0
% 0.74/1.51 termapriori = 1
% 0.74/1.51 litaposteriori = 0
% 0.74/1.51 termaposteriori = 0
% 0.74/1.51 demodaposteriori = 0
% 0.74/1.51 ordereqreflfact = 0
% 0.74/1.51
% 0.74/1.51 litselect = negord
% 0.74/1.51
% 0.74/1.51 maxweight = 15
% 0.74/1.51 maxdepth = 30000
% 0.74/1.51 maxlength = 115
% 0.74/1.51 maxnrvars = 195
% 0.74/1.51 excuselevel = 1
% 0.74/1.51 increasemaxweight = 1
% 0.74/1.51
% 0.74/1.51 maxselected = 10000000
% 0.74/1.51 maxnrclauses = 10000000
% 0.74/1.51
% 0.74/1.51 showgenerated = 0
% 0.74/1.51 showkept = 0
% 0.74/1.51 showselected = 0
% 0.74/1.51 showdeleted = 0
% 0.74/1.51 showresimp = 1
% 0.74/1.51 showstatus = 2000
% 0.74/1.51
% 0.74/1.51 prologoutput = 0
% 0.74/1.51 nrgoals = 5000000
% 0.74/1.51 totalproof = 1
% 0.74/1.51
% 0.74/1.51 Symbols occurring in the translation:
% 0.74/1.51
% 0.74/1.51 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.51 . [1, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.74/1.51 && [3, 0] (w:1, o:4, a:1, s:1, b:0),
% 0.74/1.51 ! [4, 1] (w:0, o:24, a:1, s:1, b:0),
% 0.74/1.51 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.51 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.51 rel_str [36, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.74/1.51 strict_rel_str [37, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.74/1.51 the_carrier [38, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.74/1.51 the_InternalRel [39, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.74/1.51 rel_str_of [40, 2] (w:1, o:97, a:1, s:1, b:0),
% 0.74/1.51 in [42, 2] (w:1, o:98, a:1, s:1, b:0),
% 0.74/1.51 latt_str [43, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.74/1.51 empty_carrier [44, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.74/1.51 lattice [45, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.74/1.51 join_commutative [46, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.74/1.51 join_associative [47, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.74/1.51 meet_commutative [48, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.74/1.51 meet_associative [49, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.74/1.51 meet_absorbing [50, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.74/1.51 join_absorbing [51, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.74/1.51 cartesian_product2 [53, 2] (w:1, o:99, a:1, s:1, b:0),
% 0.74/1.51 powerset [54, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.74/1.51 element [55, 2] (w:1, o:100, a:1, s:1, b:0),
% 0.74/1.51 relation [56, 1] (w:1, o:30, a:1, s:1, b:0),
% 10.65/11.04 poset_of_lattice [57, 1] (w:1, o:54, a:1, s:1, b:0),
% 10.65/11.04 k2_lattice3 [58, 1] (w:1, o:42, a:1, s:1, b:0),
% 10.65/11.04 cast_to_el_of_LattPOSet [59, 2] (w:1, o:101, a:1, s:1, b:0),
% 10.65/11.04 cast_to_el_of_lattice [60, 2] (w:1, o:102, a:1, s:1, b:0),
% 10.65/11.04 relation_of2 [61, 3] (w:1, o:107, a:1, s:1, b:0),
% 10.65/11.04 reflexive [62, 1] (w:1, o:31, a:1, s:1, b:0),
% 10.65/11.04 antisymmetric [63, 1] (w:1, o:55, a:1, s:1, b:0),
% 10.65/11.04 transitive [64, 1] (w:1, o:56, a:1, s:1, b:0),
% 10.65/11.04 v1_partfun1 [65, 3] (w:1, o:108, a:1, s:1, b:0),
% 10.65/11.04 relation_of2_as_subset [66, 3] (w:1, o:109, a:1, s:1, b:0),
% 10.65/11.04 reflexive_relstr [67, 1] (w:1, o:32, a:1, s:1, b:0),
% 10.65/11.04 transitive_relstr [68, 1] (w:1, o:57, a:1, s:1, b:0),
% 10.65/11.04 antisymmetric_relstr [69, 1] (w:1, o:58, a:1, s:1, b:0),
% 10.65/11.04 relation_of_lattice [70, 1] (w:1, o:33, a:1, s:1, b:0),
% 10.65/11.04 meet_semilatt_str [71, 1] (w:1, o:59, a:1, s:1, b:0),
% 10.65/11.04 one_sorted_str [72, 1] (w:1, o:52, a:1, s:1, b:0),
% 10.65/11.04 join_semilatt_str [73, 1] (w:1, o:41, a:1, s:1, b:0),
% 10.65/11.04 empty [74, 1] (w:1, o:60, a:1, s:1, b:0),
% 10.65/11.04 empty_set [75, 0] (w:1, o:9, a:1, s:1, b:0),
% 10.65/11.04 subset [77, 2] (w:1, o:103, a:1, s:1, b:0),
% 10.65/11.04 latt_set_smaller [78, 3] (w:1, o:110, a:1, s:1, b:0),
% 10.65/11.04 relstr_element_smaller [79, 3] (w:1, o:111, a:1, s:1, b:0),
% 10.65/11.04 alpha1 [80, 1] (w:1, o:61, a:1, s:1, b:1),
% 10.65/11.04 alpha2 [81, 1] (w:1, o:67, a:1, s:1, b:1),
% 10.65/11.04 alpha3 [82, 1] (w:1, o:68, a:1, s:1, b:1),
% 10.65/11.04 alpha4 [83, 1] (w:1, o:69, a:1, s:1, b:1),
% 10.65/11.04 alpha5 [84, 2] (w:1, o:104, a:1, s:1, b:1),
% 10.65/11.04 alpha6 [85, 1] (w:1, o:70, a:1, s:1, b:1),
% 10.65/11.04 alpha7 [86, 3] (w:1, o:112, a:1, s:1, b:1),
% 10.65/11.04 alpha8 [87, 1] (w:1, o:71, a:1, s:1, b:1),
% 10.65/11.04 alpha9 [88, 1] (w:1, o:72, a:1, s:1, b:1),
% 10.65/11.04 alpha10 [89, 1] (w:1, o:62, a:1, s:1, b:1),
% 10.65/11.04 alpha11 [90, 1] (w:1, o:63, a:1, s:1, b:1),
% 10.65/11.04 alpha12 [91, 1] (w:1, o:64, a:1, s:1, b:1),
% 10.65/11.04 alpha13 [92, 1] (w:1, o:65, a:1, s:1, b:1),
% 10.65/11.04 alpha14 [93, 1] (w:1, o:66, a:1, s:1, b:1),
% 10.65/11.04 skol1 [94, 0] (w:1, o:11, a:1, s:1, b:1),
% 10.65/11.04 skol2 [95, 0] (w:1, o:19, a:1, s:1, b:1),
% 10.65/11.04 skol3 [96, 0] (w:1, o:20, a:1, s:1, b:1),
% 10.65/11.04 skol4 [97, 0] (w:1, o:21, a:1, s:1, b:1),
% 10.65/11.04 skol5 [98, 0] (w:1, o:22, a:1, s:1, b:1),
% 10.65/11.04 skol6 [99, 2] (w:1, o:105, a:1, s:1, b:1),
% 10.65/11.04 skol7 [100, 1] (w:1, o:35, a:1, s:1, b:1),
% 10.65/11.04 skol8 [101, 2] (w:1, o:106, a:1, s:1, b:1),
% 10.65/11.04 skol9 [102, 0] (w:1, o:23, a:1, s:1, b:1),
% 10.65/11.04 skol10 [103, 1] (w:1, o:36, a:1, s:1, b:1),
% 10.65/11.04 skol11 [104, 0] (w:1, o:12, a:1, s:1, b:1),
% 10.65/11.04 skol12 [105, 0] (w:1, o:13, a:1, s:1, b:1),
% 10.65/11.04 skol13 [106, 1] (w:1, o:37, a:1, s:1, b:1),
% 10.65/11.04 skol14 [107, 0] (w:1, o:14, a:1, s:1, b:1),
% 10.65/11.04 skol15 [108, 0] (w:1, o:15, a:1, s:1, b:1),
% 10.65/11.04 skol16 [109, 1] (w:1, o:38, a:1, s:1, b:1),
% 10.65/11.04 skol17 [110, 0] (w:1, o:16, a:1, s:1, b:1),
% 10.65/11.04 skol18 [111, 0] (w:1, o:17, a:1, s:1, b:1),
% 10.65/11.04 skol19 [112, 0] (w:1, o:18, a:1, s:1, b:1).
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Starting Search:
% 10.65/11.04
% 10.65/11.04 *** allocated 15000 integers for clauses
% 10.65/11.04 *** allocated 22500 integers for clauses
% 10.65/11.04 *** allocated 33750 integers for clauses
% 10.65/11.04 *** allocated 50625 integers for clauses
% 10.65/11.04 *** allocated 15000 integers for termspace/termends
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 *** allocated 75937 integers for clauses
% 10.65/11.04 *** allocated 22500 integers for termspace/termends
% 10.65/11.04 *** allocated 33750 integers for termspace/termends
% 10.65/11.04 *** allocated 113905 integers for clauses
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 4626
% 10.65/11.04 Kept: 2103
% 10.65/11.04 Inuse: 286
% 10.65/11.04 Deleted: 40
% 10.65/11.04 Deletedinuse: 5
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 *** allocated 50625 integers for termspace/termends
% 10.65/11.04 *** allocated 170857 integers for clauses
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 *** allocated 75937 integers for termspace/termends
% 10.65/11.04 *** allocated 256285 integers for clauses
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 10301
% 10.65/11.04 Kept: 4110
% 10.65/11.04 Inuse: 439
% 10.65/11.04 Deleted: 43
% 10.65/11.04 Deletedinuse: 6
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 *** allocated 113905 integers for termspace/termends
% 10.65/11.04 *** allocated 384427 integers for clauses
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 19050
% 10.65/11.04 Kept: 6239
% 10.65/11.04 Inuse: 644
% 10.65/11.04 Deleted: 83
% 10.65/11.04 Deletedinuse: 15
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 23475
% 10.65/11.04 Kept: 8245
% 10.65/11.04 Inuse: 709
% 10.65/11.04 Deleted: 85
% 10.65/11.04 Deletedinuse: 15
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 *** allocated 576640 integers for clauses
% 10.65/11.04 *** allocated 170857 integers for termspace/termends
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 32515
% 10.65/11.04 Kept: 10250
% 10.65/11.04 Inuse: 888
% 10.65/11.04 Deleted: 87
% 10.65/11.04 Deletedinuse: 15
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 43046
% 10.65/11.04 Kept: 12269
% 10.65/11.04 Inuse: 1088
% 10.65/11.04 Deleted: 99
% 10.65/11.04 Deletedinuse: 15
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 *** allocated 864960 integers for clauses
% 10.65/11.04 *** allocated 256285 integers for termspace/termends
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 52220
% 10.65/11.04 Kept: 14293
% 10.65/11.04 Inuse: 1248
% 10.65/11.04 Deleted: 112
% 10.65/11.04 Deletedinuse: 15
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 60587
% 10.65/11.04 Kept: 16402
% 10.65/11.04 Inuse: 1369
% 10.65/11.04 Deleted: 142
% 10.65/11.04 Deletedinuse: 18
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 68645
% 10.65/11.04 Kept: 18417
% 10.65/11.04 Inuse: 1491
% 10.65/11.04 Deleted: 153
% 10.65/11.04 Deletedinuse: 23
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 Resimplifying clauses:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 75920
% 10.65/11.04 Kept: 20434
% 10.65/11.04 Inuse: 1524
% 10.65/11.04 Deleted: 1868
% 10.65/11.04 Deletedinuse: 121
% 10.65/11.04
% 10.65/11.04 *** allocated 1297440 integers for clauses
% 10.65/11.04 *** allocated 384427 integers for termspace/termends
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 82691
% 10.65/11.04 Kept: 22436
% 10.65/11.04 Inuse: 1581
% 10.65/11.04 Deleted: 1877
% 10.65/11.04 Deletedinuse: 130
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 100753
% 10.65/11.04 Kept: 24891
% 10.65/11.04 Inuse: 1752
% 10.65/11.04 Deleted: 1882
% 10.65/11.04 Deletedinuse: 131
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 112762
% 10.65/11.04 Kept: 26896
% 10.65/11.04 Inuse: 1839
% 10.65/11.04 Deleted: 1883
% 10.65/11.04 Deletedinuse: 131
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 120435
% 10.65/11.04 Kept: 28911
% 10.65/11.04 Inuse: 1905
% 10.65/11.04 Deleted: 1884
% 10.65/11.04 Deletedinuse: 132
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 128731
% 10.65/11.04 Kept: 30922
% 10.65/11.04 Inuse: 1980
% 10.65/11.04 Deleted: 1884
% 10.65/11.04 Deletedinuse: 132
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 *** allocated 576640 integers for termspace/termends
% 10.65/11.04 *** allocated 1946160 integers for clauses
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 138783
% 10.65/11.04 Kept: 32938
% 10.65/11.04 Inuse: 2084
% 10.65/11.04 Deleted: 1885
% 10.65/11.04 Deletedinuse: 133
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 152488
% 10.65/11.04 Kept: 35027
% 10.65/11.04 Inuse: 2188
% 10.65/11.04 Deleted: 1945
% 10.65/11.04 Deletedinuse: 133
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 161525
% 10.65/11.04 Kept: 38127
% 10.65/11.04 Inuse: 2198
% 10.65/11.04 Deleted: 1946
% 10.65/11.04 Deletedinuse: 133
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04 Resimplifying inuse:
% 10.65/11.04 Done
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Intermediate Status:
% 10.65/11.04 Generated: 170037
% 10.65/11.04 Kept: 40377
% 10.65/11.04 Inuse: 2208
% 10.65/11.04 Deleted: 1946
% 10.65/11.04 Deletedinuse: 133
% 10.65/11.04
% 10.65/11.04 Resimplifying clauses:
% 10.65/11.04
% 10.65/11.04 Bliksems!, er is een bewijs:
% 10.65/11.04 % SZS status Theorem
% 10.65/11.04 % SZS output start Refutation
% 10.65/11.04
% 10.65/11.04 (2) {G0,W8,D2,L4,V1,M4} I { ! latt_str( X ), empty_carrier( X ), ! lattice
% 10.65/11.04 ( X ), alpha1( X ) }.
% 10.65/11.04 (4) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha8( X ) }.
% 10.65/11.04 (7) {G0,W4,D2,L2,V1,M2} I { ! alpha8( X ), alpha13( X ) }.
% 10.65/11.04 (10) {G0,W4,D2,L2,V1,M2} I { ! alpha13( X ), alpha14( X ) }.
% 10.65/11.04 (13) {G0,W4,D2,L2,V1,M2} I { ! alpha14( X ), ! empty_carrier( X ) }.
% 10.65/11.04 (20) {G0,W15,D3,L5,V2,M5} I { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Y, the_carrier( X ) ), cast_to_el_of_LattPOSet
% 10.65/11.04 ( X, Y ) ==> Y }.
% 10.65/11.04 (21) {G0,W16,D4,L5,V2,M5} I { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Y, the_carrier( poset_of_lattice( X ) ) ),
% 10.65/11.04 cast_to_el_of_lattice( X, Y ) ==> Y }.
% 10.65/11.04 (43) {G1,W15,D4,L5,V2,M5} I;d(20) { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Y, the_carrier( X ) ), element( Y, the_carrier
% 10.65/11.04 ( poset_of_lattice( X ) ) ) }.
% 10.65/11.04 (44) {G1,W15,D4,L5,V2,M5} I;d(21) { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Y, the_carrier( poset_of_lattice( X ) ) ),
% 10.65/11.04 element( Y, the_carrier( X ) ) }.
% 10.65/11.04 (115) {G1,W19,D3,L6,V3,M6} I;d(20) { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Y, the_carrier( X ) ), ! latt_set_smaller( X, Y
% 10.65/11.04 , Z ), relstr_element_smaller( poset_of_lattice( X ), Z, Y ) }.
% 10.65/11.04 (116) {G1,W19,D3,L6,V3,M6} I;d(20) { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Y, the_carrier( X ) ), latt_set_smaller( X, Y,
% 10.65/11.04 Z ), ! relstr_element_smaller( poset_of_lattice( X ), Z, Y ) }.
% 10.65/11.04 (117) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol17 ) }.
% 10.65/11.04 (118) {G0,W2,D2,L1,V0,M1} I { lattice( skol17 ) }.
% 10.65/11.04 (119) {G0,W2,D2,L1,V0,M1} I { latt_str( skol17 ) }.
% 10.65/11.04 (120) {G0,W5,D4,L1,V0,M1} I { element( skol18, the_carrier(
% 10.65/11.04 poset_of_lattice( skol17 ) ) ) }.
% 10.65/11.04 (121) {G0,W10,D3,L2,V0,M2} I { alpha7( skol17, skol18, skol19 ),
% 10.65/11.04 latt_set_smaller( skol17, cast_to_el_of_lattice( skol17, skol18 ), skol19
% 10.65/11.04 ) }.
% 10.65/11.04 (122) {G0,W9,D3,L2,V0,M2} I { alpha7( skol17, skol18, skol19 ), !
% 10.65/11.04 relstr_element_smaller( poset_of_lattice( skol17 ), skol19, skol18 ) }.
% 10.65/11.04 (123) {G0,W9,D3,L2,V3,M2} I { ! alpha7( X, Y, Z ), relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Z, Y ) }.
% 10.65/11.04 (124) {G0,W10,D3,L2,V3,M2} I { ! alpha7( X, Y, Z ), ! latt_set_smaller( X,
% 10.65/11.04 cast_to_el_of_lattice( X, Y ), Z ) }.
% 10.65/11.04 (139) {G1,W4,D2,L2,V0,M2} R(2,117);r(119) { ! lattice( skol17 ), alpha1(
% 10.65/11.04 skol17 ) }.
% 10.65/11.04 (155) {G1,W4,D2,L2,V1,M2} R(7,4) { alpha13( X ), ! alpha1( X ) }.
% 10.65/11.04 (167) {G2,W4,D2,L2,V1,M2} R(10,155) { alpha14( X ), ! alpha1( X ) }.
% 10.65/11.04 (198) {G2,W2,D2,L1,V0,M1} S(139);r(118) { alpha1( skol17 ) }.
% 10.65/11.04 (202) {G3,W2,D2,L1,V0,M1} R(198,167) { alpha14( skol17 ) }.
% 10.65/11.04 (484) {G2,W15,D3,L5,V2,M5} R(43,21);f;f;f { empty_carrier( X ), ! lattice(
% 10.65/11.04 X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ),
% 10.65/11.04 cast_to_el_of_lattice( X, Y ) ==> Y }.
% 10.65/11.04 (504) {G2,W15,D4,L5,V2,M5} R(44,13) { ! lattice( X ), ! latt_str( X ), !
% 10.65/11.04 element( Y, the_carrier( poset_of_lattice( X ) ) ), element( Y,
% 10.65/11.04 the_carrier( X ) ), ! alpha14( X ) }.
% 10.65/11.04 (1226) {G1,W9,D3,L3,V0,M3} R(120,21);r(117) { ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ), cast_to_el_of_lattice( skol17, skol18 ) ==> skol18
% 10.65/11.04 }.
% 10.65/11.04 (2689) {G3,W15,D3,L5,V0,M5} R(121,115);d(1226);d(484);r(123) {
% 10.65/11.04 empty_carrier( skol17 ), ! lattice( skol17 ), ! latt_str( skol17 ), !
% 10.65/11.04 element( skol18, the_carrier( skol17 ) ), relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ) }.
% 10.65/11.04 (13441) {G3,W8,D3,L3,V0,M3} R(504,120);r(118) { ! latt_str( skol17 ),
% 10.65/11.04 element( skol18, the_carrier( skol17 ) ), ! alpha14( skol17 ) }.
% 10.65/11.04 (20089) {G4,W4,D3,L1,V0,M1} S(13441);r(119);r(202) { element( skol18,
% 10.65/11.04 the_carrier( skol17 ) ) }.
% 10.65/11.04 (20292) {G5,W5,D3,L1,V0,M1} S(2689);r(117);r(118);r(119);r(20089) {
% 10.65/11.04 relstr_element_smaller( poset_of_lattice( skol17 ), skol19, skol18 ) }.
% 10.65/11.04 (20316) {G2,W5,D3,L1,V0,M1} S(1226);r(118);r(119) { cast_to_el_of_lattice(
% 10.65/11.04 skol17, skol18 ) ==> skol18 }.
% 10.65/11.04 (20327) {G6,W4,D2,L1,V0,M1} S(122);r(20292) { alpha7( skol17, skol18,
% 10.65/11.04 skol19 ) }.
% 10.65/11.04 (20335) {G7,W4,D2,L1,V0,M1} R(20327,124);d(20316) { ! latt_set_smaller(
% 10.65/11.04 skol17, skol18, skol19 ) }.
% 10.65/11.04 (20564) {G6,W12,D3,L4,V0,M4} R(20292,116);r(117) { ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ), ! element( skol18, the_carrier( skol17 ) ),
% 10.65/11.04 latt_set_smaller( skol17, skol18, skol19 ) }.
% 10.65/11.04 (40560) {G8,W0,D0,L0,V0,M0} S(20564);r(118);r(119);r(20089);r(20335) { }.
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 % SZS output end Refutation
% 10.65/11.04 found a proof!
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Unprocessed initial clauses:
% 10.65/11.04
% 10.65/11.04 (40562) {G0,W11,D4,L3,V1,M3} { ! rel_str( X ), ! strict_rel_str( X ), X =
% 10.65/11.04 rel_str_of( the_carrier( X ), the_InternalRel( X ) ) }.
% 10.65/11.04 (40563) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), ! in( Y, X ) }.
% 10.65/11.04 (40564) {G0,W8,D2,L4,V1,M4} { ! latt_str( X ), empty_carrier( X ), !
% 10.65/11.04 lattice( X ), alpha1( X ) }.
% 10.65/11.04 (40565) {G0,W8,D2,L4,V1,M4} { ! latt_str( X ), empty_carrier( X ), !
% 10.65/11.04 lattice( X ), join_absorbing( X ) }.
% 10.65/11.04 (40566) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha8( X ) }.
% 10.65/11.04 (40567) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), meet_absorbing( X ) }.
% 10.65/11.04 (40568) {G0,W6,D2,L3,V1,M3} { ! alpha8( X ), ! meet_absorbing( X ), alpha1
% 10.65/11.04 ( X ) }.
% 10.65/11.04 (40569) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), alpha13( X ) }.
% 10.65/11.04 (40570) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), meet_associative( X ) }.
% 10.65/11.04 (40571) {G0,W6,D2,L3,V1,M3} { ! alpha13( X ), ! meet_associative( X ),
% 10.65/11.04 alpha8( X ) }.
% 10.65/11.04 (40572) {G0,W4,D2,L2,V1,M2} { ! alpha13( X ), alpha14( X ) }.
% 10.65/11.04 (40573) {G0,W4,D2,L2,V1,M2} { ! alpha13( X ), meet_commutative( X ) }.
% 10.65/11.04 (40574) {G0,W6,D2,L3,V1,M3} { ! alpha14( X ), ! meet_commutative( X ),
% 10.65/11.04 alpha13( X ) }.
% 10.65/11.04 (40575) {G0,W4,D2,L2,V1,M2} { ! alpha14( X ), ! empty_carrier( X ) }.
% 10.65/11.04 (40576) {G0,W4,D2,L2,V1,M2} { ! alpha14( X ), join_commutative( X ) }.
% 10.65/11.04 (40577) {G0,W4,D2,L2,V1,M2} { ! alpha14( X ), join_associative( X ) }.
% 10.65/11.04 (40578) {G0,W8,D2,L4,V1,M4} { empty_carrier( X ), ! join_commutative( X )
% 10.65/11.04 , ! join_associative( X ), alpha14( X ) }.
% 10.65/11.04 (40579) {G0,W8,D4,L2,V3,M2} { ! element( X, powerset( cartesian_product2(
% 10.65/11.04 Y, Z ) ) ), relation( X ) }.
% 10.65/11.04 (40580) {G0,W18,D2,L9,V1,M9} { ! latt_str( X ), empty_carrier( X ), !
% 10.65/11.04 join_commutative( X ), ! join_associative( X ), ! meet_commutative( X ),
% 10.65/11.04 ! meet_associative( X ), ! meet_absorbing( X ), ! join_absorbing( X ), !
% 10.65/11.04 empty_carrier( X ) }.
% 10.65/11.04 (40581) {G0,W18,D2,L9,V1,M9} { ! latt_str( X ), empty_carrier( X ), !
% 10.65/11.04 join_commutative( X ), ! join_associative( X ), ! meet_commutative( X ),
% 10.65/11.04 ! meet_associative( X ), ! meet_absorbing( X ), ! join_absorbing( X ),
% 10.65/11.04 lattice( X ) }.
% 10.65/11.04 (40582) {G0,W14,D4,L4,V1,M4} { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), poset_of_lattice( X ) = rel_str_of( the_carrier( X ),
% 10.65/11.04 k2_lattice3( X ) ) }.
% 10.65/11.04 (40583) {G0,W15,D3,L5,V2,M5} { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Y, the_carrier( X ) ), cast_to_el_of_LattPOSet
% 10.65/11.04 ( X, Y ) = Y }.
% 10.65/11.04 (40584) {G0,W16,D4,L5,V2,M5} { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Y, the_carrier( poset_of_lattice( X ) ) ),
% 10.65/11.04 cast_to_el_of_lattice( X, Y ) = Y }.
% 10.65/11.04 (40585) {G0,W8,D3,L2,V2,M2} { ! relation_of2( Y, X, X ), strict_rel_str(
% 10.65/11.04 rel_str_of( X, Y ) ) }.
% 10.65/11.04 (40586) {G0,W8,D3,L2,V2,M2} { ! relation_of2( Y, X, X ), rel_str(
% 10.65/11.04 rel_str_of( X, Y ) ) }.
% 10.65/11.04 (40587) {G0,W1,D1,L1,V0,M1} { && }.
% 10.65/11.04 (40588) {G0,W1,D1,L1,V0,M1} { && }.
% 10.65/11.04 (40589) {G0,W8,D2,L4,V1,M4} { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), alpha2( X ) }.
% 10.65/11.04 (40590) {G0,W13,D3,L4,V1,M4} { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), relation_of2_as_subset( k2_lattice3( X ), the_carrier( X )
% 10.65/11.04 , the_carrier( X ) ) }.
% 10.65/11.04 (40591) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha9( X ) }.
% 10.65/11.04 (40592) {G0,W9,D3,L2,V1,M2} { ! alpha2( X ), v1_partfun1( k2_lattice3( X )
% 10.65/11.04 , the_carrier( X ), the_carrier( X ) ) }.
% 10.65/11.04 (40593) {G0,W11,D3,L3,V1,M3} { ! alpha9( X ), ! v1_partfun1( k2_lattice3(
% 10.65/11.04 X ), the_carrier( X ), the_carrier( X ) ), alpha2( X ) }.
% 10.65/11.04 (40594) {G0,W5,D3,L2,V1,M2} { ! alpha9( X ), reflexive( k2_lattice3( X ) )
% 10.65/11.04 }.
% 10.65/11.04 (40595) {G0,W5,D3,L2,V1,M2} { ! alpha9( X ), antisymmetric( k2_lattice3( X
% 10.65/11.04 ) ) }.
% 10.65/11.04 (40596) {G0,W5,D3,L2,V1,M2} { ! alpha9( X ), transitive( k2_lattice3( X )
% 10.65/11.04 ) }.
% 10.65/11.04 (40597) {G0,W11,D3,L4,V1,M4} { ! reflexive( k2_lattice3( X ) ), !
% 10.65/11.04 antisymmetric( k2_lattice3( X ) ), ! transitive( k2_lattice3( X ) ),
% 10.65/11.04 alpha9( X ) }.
% 10.65/11.04 (40598) {G0,W1,D1,L1,V0,M1} { && }.
% 10.65/11.04 (40599) {G0,W8,D2,L4,V1,M4} { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), alpha3( X ) }.
% 10.65/11.04 (40600) {G0,W9,D3,L4,V1,M4} { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), rel_str( poset_of_lattice( X ) ) }.
% 10.65/11.04 (40601) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha10( X ) }.
% 10.65/11.04 (40602) {G0,W5,D3,L2,V1,M2} { ! alpha3( X ), antisymmetric_relstr(
% 10.65/11.04 poset_of_lattice( X ) ) }.
% 10.65/11.04 (40603) {G0,W7,D3,L3,V1,M3} { ! alpha10( X ), ! antisymmetric_relstr(
% 10.65/11.04 poset_of_lattice( X ) ), alpha3( X ) }.
% 10.65/11.04 (40604) {G0,W5,D3,L2,V1,M2} { ! alpha10( X ), strict_rel_str(
% 10.65/11.04 poset_of_lattice( X ) ) }.
% 10.65/11.04 (40605) {G0,W5,D3,L2,V1,M2} { ! alpha10( X ), reflexive_relstr(
% 10.65/11.04 poset_of_lattice( X ) ) }.
% 10.65/11.04 (40606) {G0,W5,D3,L2,V1,M2} { ! alpha10( X ), transitive_relstr(
% 10.65/11.04 poset_of_lattice( X ) ) }.
% 10.65/11.04 (40607) {G0,W11,D3,L4,V1,M4} { ! strict_rel_str( poset_of_lattice( X ) ),
% 10.65/11.04 ! reflexive_relstr( poset_of_lattice( X ) ), ! transitive_relstr(
% 10.65/11.04 poset_of_lattice( X ) ), alpha10( X ) }.
% 10.65/11.04 (40608) {G0,W17,D4,L5,V2,M5} { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Y, the_carrier( X ) ), element(
% 10.65/11.04 cast_to_el_of_LattPOSet( X, Y ), the_carrier( poset_of_lattice( X ) ) )
% 10.65/11.04 }.
% 10.65/11.04 (40609) {G0,W17,D4,L5,V2,M5} { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Y, the_carrier( poset_of_lattice( X ) ) ),
% 10.65/11.04 element( cast_to_el_of_lattice( X, Y ), the_carrier( X ) ) }.
% 10.65/11.04 (40610) {G0,W9,D3,L4,V1,M4} { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), relation( relation_of_lattice( X ) ) }.
% 10.65/11.04 (40611) {G0,W4,D2,L2,V1,M2} { ! meet_semilatt_str( X ), one_sorted_str( X
% 10.65/11.04 ) }.
% 10.65/11.04 (40612) {G0,W4,D2,L2,V1,M2} { ! rel_str( X ), one_sorted_str( X ) }.
% 10.65/11.04 (40613) {G0,W1,D1,L1,V0,M1} { && }.
% 10.65/11.04 (40614) {G0,W4,D2,L2,V1,M2} { ! join_semilatt_str( X ), one_sorted_str( X
% 10.65/11.04 ) }.
% 10.65/11.04 (40615) {G0,W4,D2,L2,V1,M2} { ! latt_str( X ), meet_semilatt_str( X ) }.
% 10.65/11.04 (40616) {G0,W4,D2,L2,V1,M2} { ! latt_str( X ), join_semilatt_str( X ) }.
% 10.65/11.04 (40617) {G0,W1,D1,L1,V0,M1} { && }.
% 10.65/11.04 (40618) {G0,W1,D1,L1,V0,M1} { && }.
% 10.65/11.04 (40619) {G0,W10,D4,L2,V3,M2} { ! relation_of2_as_subset( Z, X, Y ),
% 10.65/11.04 element( Z, powerset( cartesian_product2( X, Y ) ) ) }.
% 10.65/11.04 (40620) {G0,W9,D3,L2,V1,M2} { ! rel_str( X ), relation_of2_as_subset(
% 10.65/11.04 the_InternalRel( X ), the_carrier( X ), the_carrier( X ) ) }.
% 10.65/11.04 (40621) {G0,W1,D1,L1,V0,M1} { && }.
% 10.65/11.04 (40622) {G0,W2,D2,L1,V0,M1} { meet_semilatt_str( skol1 ) }.
% 10.65/11.04 (40623) {G0,W2,D2,L1,V0,M1} { rel_str( skol2 ) }.
% 10.65/11.04 (40624) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol3 ) }.
% 10.65/11.04 (40625) {G0,W2,D2,L1,V0,M1} { join_semilatt_str( skol4 ) }.
% 10.65/11.04 (40626) {G0,W2,D2,L1,V0,M1} { latt_str( skol5 ) }.
% 10.65/11.04 (40627) {G0,W6,D3,L1,V2,M1} { relation_of2( skol6( X, Y ), X, Y ) }.
% 10.65/11.04 (40628) {G0,W4,D3,L1,V1,M1} { element( skol7( X ), X ) }.
% 10.65/11.04 (40629) {G0,W6,D3,L1,V2,M1} { relation_of2_as_subset( skol8( X, Y ), X, Y
% 10.65/11.04 ) }.
% 10.65/11.04 (40630) {G0,W10,D3,L3,V2,M3} { empty( X ), ! relation_of2( Y, X, X ), !
% 10.65/11.04 empty_carrier( rel_str_of( X, Y ) ) }.
% 10.65/11.04 (40631) {G0,W10,D3,L3,V2,M3} { empty( X ), ! relation_of2( Y, X, X ),
% 10.65/11.04 strict_rel_str( rel_str_of( X, Y ) ) }.
% 10.65/11.04 (40632) {G0,W7,D3,L3,V1,M3} { empty_carrier( X ), ! one_sorted_str( X ), !
% 10.65/11.04 empty( the_carrier( X ) ) }.
% 10.65/11.04 (40633) {G0,W3,D3,L1,V1,M1} { ! empty( powerset( X ) ) }.
% 10.65/11.04 (40634) {G0,W2,D2,L1,V0,M1} { empty( empty_set ) }.
% 10.65/11.04 (40635) {G0,W10,D2,L5,V1,M5} { ! reflexive_relstr( X ), !
% 10.65/11.04 transitive_relstr( X ), ! antisymmetric_relstr( X ), ! rel_str( X ),
% 10.65/11.04 alpha4( X ) }.
% 10.65/11.04 (40636) {G0,W15,D3,L5,V1,M5} { ! reflexive_relstr( X ), !
% 10.65/11.04 transitive_relstr( X ), ! antisymmetric_relstr( X ), ! rel_str( X ),
% 10.65/11.04 v1_partfun1( the_InternalRel( X ), the_carrier( X ), the_carrier( X ) )
% 10.65/11.04 }.
% 10.65/11.04 (40637) {G0,W4,D2,L2,V1,M2} { ! alpha4( X ), alpha11( X ) }.
% 10.65/11.04 (40638) {G0,W5,D3,L2,V1,M2} { ! alpha4( X ), transitive( the_InternalRel(
% 10.65/11.04 X ) ) }.
% 10.65/11.04 (40639) {G0,W7,D3,L3,V1,M3} { ! alpha11( X ), ! transitive(
% 10.65/11.04 the_InternalRel( X ) ), alpha4( X ) }.
% 10.65/11.04 (40640) {G0,W5,D3,L2,V1,M2} { ! alpha11( X ), relation( the_InternalRel( X
% 10.65/11.04 ) ) }.
% 10.65/11.04 (40641) {G0,W5,D3,L2,V1,M2} { ! alpha11( X ), reflexive( the_InternalRel(
% 10.65/11.04 X ) ) }.
% 10.65/11.04 (40642) {G0,W5,D3,L2,V1,M2} { ! alpha11( X ), antisymmetric(
% 10.65/11.04 the_InternalRel( X ) ) }.
% 10.65/11.04 (40643) {G0,W11,D3,L4,V1,M4} { ! relation( the_InternalRel( X ) ), !
% 10.65/11.04 reflexive( the_InternalRel( X ) ), ! antisymmetric( the_InternalRel( X )
% 10.65/11.04 ), alpha11( X ) }.
% 10.65/11.04 (40644) {G0,W17,D2,L6,V2,M6} { ! reflexive( Y ), ! antisymmetric( Y ), !
% 10.65/11.04 transitive( Y ), ! v1_partfun1( Y, X, X ), ! relation_of2( Y, X, X ),
% 10.65/11.04 alpha5( X, Y ) }.
% 10.65/11.04 (40645) {G0,W18,D3,L6,V2,M6} { ! reflexive( Y ), ! antisymmetric( Y ), !
% 10.65/11.04 transitive( Y ), ! v1_partfun1( Y, X, X ), ! relation_of2( Y, X, X ),
% 10.65/11.04 antisymmetric_relstr( rel_str_of( X, Y ) ) }.
% 10.65/11.04 (40646) {G0,W7,D3,L2,V2,M2} { ! alpha5( X, Y ), strict_rel_str( rel_str_of
% 10.65/11.04 ( X, Y ) ) }.
% 10.65/11.04 (40647) {G0,W7,D3,L2,V2,M2} { ! alpha5( X, Y ), reflexive_relstr(
% 10.65/11.04 rel_str_of( X, Y ) ) }.
% 10.65/11.04 (40648) {G0,W7,D3,L2,V2,M2} { ! alpha5( X, Y ), transitive_relstr(
% 10.65/11.04 rel_str_of( X, Y ) ) }.
% 10.65/11.04 (40649) {G0,W15,D3,L4,V2,M4} { ! strict_rel_str( rel_str_of( X, Y ) ), !
% 10.65/11.04 reflexive_relstr( rel_str_of( X, Y ) ), ! transitive_relstr( rel_str_of(
% 10.65/11.04 X, Y ) ), alpha5( X, Y ) }.
% 10.65/11.04 (40650) {G0,W8,D2,L4,V1,M4} { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), alpha6( X ) }.
% 10.65/11.04 (40651) {G0,W9,D3,L4,V1,M4} { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), antisymmetric_relstr( poset_of_lattice( X ) ) }.
% 10.65/11.04 (40652) {G0,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha12( X ) }.
% 10.65/11.04 (40653) {G0,W5,D3,L2,V1,M2} { ! alpha6( X ), transitive_relstr(
% 10.65/11.04 poset_of_lattice( X ) ) }.
% 10.65/11.04 (40654) {G0,W7,D3,L3,V1,M3} { ! alpha12( X ), ! transitive_relstr(
% 10.65/11.04 poset_of_lattice( X ) ), alpha6( X ) }.
% 10.65/11.04 (40655) {G0,W5,D3,L2,V1,M2} { ! alpha12( X ), ! empty_carrier(
% 10.65/11.04 poset_of_lattice( X ) ) }.
% 10.65/11.04 (40656) {G0,W5,D3,L2,V1,M2} { ! alpha12( X ), strict_rel_str(
% 10.65/11.04 poset_of_lattice( X ) ) }.
% 10.65/11.04 (40657) {G0,W5,D3,L2,V1,M2} { ! alpha12( X ), reflexive_relstr(
% 10.65/11.04 poset_of_lattice( X ) ) }.
% 10.65/11.04 (40658) {G0,W11,D3,L4,V1,M4} { empty_carrier( poset_of_lattice( X ) ), !
% 10.65/11.04 strict_rel_str( poset_of_lattice( X ) ), ! reflexive_relstr(
% 10.65/11.04 poset_of_lattice( X ) ), alpha12( X ) }.
% 10.65/11.04 (40659) {G0,W8,D3,L3,V2,M3} { empty( X ), empty( Y ), ! empty(
% 10.65/11.04 cartesian_product2( X, Y ) ) }.
% 10.65/11.04 (40660) {G0,W14,D3,L3,V4,M3} { ! relation_of2( Y, X, X ), ! rel_str_of( X
% 10.65/11.04 , Y ) = rel_str_of( Z, T ), X = Z }.
% 10.65/11.04 (40661) {G0,W14,D3,L3,V4,M3} { ! relation_of2( Y, X, X ), ! rel_str_of( X
% 10.65/11.04 , Y ) = rel_str_of( Z, T ), Y = T }.
% 10.65/11.04 (40662) {G0,W2,D2,L1,V0,M1} { rel_str( skol9 ) }.
% 10.65/11.04 (40663) {G0,W2,D2,L1,V0,M1} { strict_rel_str( skol9 ) }.
% 10.65/11.04 (40664) {G0,W5,D3,L2,V2,M2} { empty( X ), ! empty( skol10( Y ) ) }.
% 10.65/11.04 (40665) {G0,W7,D3,L2,V1,M2} { empty( X ), element( skol10( X ), powerset(
% 10.65/11.04 X ) ) }.
% 10.65/11.04 (40666) {G0,W2,D2,L1,V0,M1} { empty( skol11 ) }.
% 10.65/11.04 (40667) {G0,W2,D2,L1,V0,M1} { rel_str( skol12 ) }.
% 10.65/11.04 (40668) {G0,W2,D2,L1,V0,M1} { ! empty_carrier( skol12 ) }.
% 10.65/11.04 (40669) {G0,W2,D2,L1,V0,M1} { strict_rel_str( skol12 ) }.
% 10.65/11.04 (40670) {G0,W2,D2,L1,V0,M1} { reflexive_relstr( skol12 ) }.
% 10.65/11.04 (40671) {G0,W2,D2,L1,V0,M1} { transitive_relstr( skol12 ) }.
% 10.65/11.04 (40672) {G0,W2,D2,L1,V0,M1} { antisymmetric_relstr( skol12 ) }.
% 10.65/11.04 (40673) {G0,W3,D3,L1,V1,M1} { empty( skol13( Y ) ) }.
% 10.65/11.04 (40674) {G0,W5,D3,L1,V1,M1} { element( skol13( X ), powerset( X ) ) }.
% 10.65/11.04 (40675) {G0,W2,D2,L1,V0,M1} { ! empty( skol14 ) }.
% 10.65/11.04 (40676) {G0,W2,D2,L1,V0,M1} { one_sorted_str( skol15 ) }.
% 10.65/11.04 (40677) {G0,W2,D2,L1,V0,M1} { ! empty_carrier( skol15 ) }.
% 10.65/11.04 (40678) {G0,W7,D3,L3,V2,M3} { empty_carrier( X ), ! one_sorted_str( X ), !
% 10.65/11.04 empty( skol16( Y ) ) }.
% 10.65/11.04 (40679) {G0,W10,D4,L3,V1,M3} { empty_carrier( X ), ! one_sorted_str( X ),
% 10.65/11.04 element( skol16( X ), powerset( the_carrier( X ) ) ) }.
% 10.65/11.04 (40680) {G0,W11,D3,L4,V1,M4} { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), k2_lattice3( X ) = relation_of_lattice( X ) }.
% 10.65/11.04 (40681) {G0,W8,D2,L2,V3,M2} { ! relation_of2_as_subset( Z, X, Y ),
% 10.65/11.04 relation_of2( Z, X, Y ) }.
% 10.65/11.04 (40682) {G0,W8,D2,L2,V3,M2} { ! relation_of2( Z, X, Y ),
% 10.65/11.04 relation_of2_as_subset( Z, X, Y ) }.
% 10.65/11.04 (40683) {G0,W3,D2,L1,V1,M1} { subset( X, X ) }.
% 10.65/11.04 (40684) {G0,W6,D2,L2,V2,M2} { ! in( X, Y ), element( X, Y ) }.
% 10.65/11.04 (40685) {G0,W21,D3,L6,V3,M6} { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Y, the_carrier( X ) ), ! latt_set_smaller( X, Y
% 10.65/11.04 , Z ), relstr_element_smaller( poset_of_lattice( X ), Z,
% 10.65/11.04 cast_to_el_of_LattPOSet( X, Y ) ) }.
% 10.65/11.04 (40686) {G0,W21,D3,L6,V3,M6} { empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Y, the_carrier( X ) ), ! relstr_element_smaller
% 10.65/11.04 ( poset_of_lattice( X ), Z, cast_to_el_of_LattPOSet( X, Y ) ),
% 10.65/11.04 latt_set_smaller( X, Y, Z ) }.
% 10.65/11.04 (40687) {G0,W2,D2,L1,V0,M1} { ! empty_carrier( skol17 ) }.
% 10.65/11.04 (40688) {G0,W2,D2,L1,V0,M1} { lattice( skol17 ) }.
% 10.65/11.04 (40689) {G0,W2,D2,L1,V0,M1} { latt_str( skol17 ) }.
% 10.65/11.04 (40690) {G0,W5,D4,L1,V0,M1} { element( skol18, the_carrier(
% 10.65/11.04 poset_of_lattice( skol17 ) ) ) }.
% 10.65/11.04 (40691) {G0,W10,D3,L2,V0,M2} { alpha7( skol17, skol18, skol19 ),
% 10.65/11.04 latt_set_smaller( skol17, cast_to_el_of_lattice( skol17, skol18 ), skol19
% 10.65/11.04 ) }.
% 10.65/11.04 (40692) {G0,W9,D3,L2,V0,M2} { alpha7( skol17, skol18, skol19 ), !
% 10.65/11.04 relstr_element_smaller( poset_of_lattice( skol17 ), skol19, skol18 ) }.
% 10.65/11.04 (40693) {G0,W9,D3,L2,V3,M2} { ! alpha7( X, Y, Z ), relstr_element_smaller
% 10.65/11.04 ( poset_of_lattice( X ), Z, Y ) }.
% 10.65/11.04 (40694) {G0,W10,D3,L2,V3,M2} { ! alpha7( X, Y, Z ), ! latt_set_smaller( X
% 10.65/11.04 , cast_to_el_of_lattice( X, Y ), Z ) }.
% 10.65/11.04 (40695) {G0,W15,D3,L3,V3,M3} { ! relstr_element_smaller( poset_of_lattice
% 10.65/11.04 ( X ), Z, Y ), latt_set_smaller( X, cast_to_el_of_lattice( X, Y ), Z ),
% 10.65/11.04 alpha7( X, Y, Z ) }.
% 10.65/11.04 (40696) {G0,W8,D2,L3,V2,M3} { ! element( X, Y ), empty( Y ), in( X, Y )
% 10.65/11.04 }.
% 10.65/11.04 (40697) {G0,W7,D3,L2,V2,M2} { ! element( X, powerset( Y ) ), subset( X, Y
% 10.65/11.04 ) }.
% 10.65/11.04 (40698) {G0,W7,D3,L2,V2,M2} { ! subset( X, Y ), element( X, powerset( Y )
% 10.65/11.04 ) }.
% 10.65/11.04 (40699) {G0,W10,D3,L3,V3,M3} { ! in( X, Z ), ! element( Z, powerset( Y ) )
% 10.65/11.04 , element( X, Y ) }.
% 10.65/11.04 (40700) {G0,W9,D3,L3,V3,M3} { ! in( X, Y ), ! element( Y, powerset( Z ) )
% 10.65/11.04 , ! empty( Z ) }.
% 10.65/11.04 (40701) {G0,W5,D2,L2,V1,M2} { ! empty( X ), X = empty_set }.
% 10.65/11.04 (40702) {G0,W5,D2,L2,V2,M2} { ! in( X, Y ), ! empty( Y ) }.
% 10.65/11.04 (40703) {G0,W7,D2,L3,V2,M3} { ! empty( X ), X = Y, ! empty( Y ) }.
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Total Proof:
% 10.65/11.04
% 10.65/11.04 subsumption: (2) {G0,W8,D2,L4,V1,M4} I { ! latt_str( X ), empty_carrier( X
% 10.65/11.04 ), ! lattice( X ), alpha1( X ) }.
% 10.65/11.04 parent0: (40564) {G0,W8,D2,L4,V1,M4} { ! latt_str( X ), empty_carrier( X )
% 10.65/11.04 , ! lattice( X ), alpha1( X ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 1 ==> 1
% 10.65/11.04 2 ==> 2
% 10.65/11.04 3 ==> 3
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (4) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha8( X ) }.
% 10.65/11.04 parent0: (40566) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha8( X ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 1 ==> 1
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (7) {G0,W4,D2,L2,V1,M2} I { ! alpha8( X ), alpha13( X ) }.
% 10.65/11.04 parent0: (40569) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), alpha13( X ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 1 ==> 1
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (10) {G0,W4,D2,L2,V1,M2} I { ! alpha13( X ), alpha14( X ) }.
% 10.65/11.04 parent0: (40572) {G0,W4,D2,L2,V1,M2} { ! alpha13( X ), alpha14( X ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 1 ==> 1
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (13) {G0,W4,D2,L2,V1,M2} I { ! alpha14( X ), ! empty_carrier(
% 10.65/11.04 X ) }.
% 10.65/11.04 parent0: (40575) {G0,W4,D2,L2,V1,M2} { ! alpha14( X ), ! empty_carrier( X
% 10.65/11.04 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 1 ==> 1
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (20) {G0,W15,D3,L5,V2,M5} I { empty_carrier( X ), ! lattice( X
% 10.65/11.04 ), ! latt_str( X ), ! element( Y, the_carrier( X ) ),
% 10.65/11.04 cast_to_el_of_LattPOSet( X, Y ) ==> Y }.
% 10.65/11.04 parent0: (40583) {G0,W15,D3,L5,V2,M5} { empty_carrier( X ), ! lattice( X )
% 10.65/11.04 , ! latt_str( X ), ! element( Y, the_carrier( X ) ),
% 10.65/11.04 cast_to_el_of_LattPOSet( X, Y ) = Y }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 1 ==> 1
% 10.65/11.04 2 ==> 2
% 10.65/11.04 3 ==> 3
% 10.65/11.04 4 ==> 4
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (21) {G0,W16,D4,L5,V2,M5} I { empty_carrier( X ), ! lattice( X
% 10.65/11.04 ), ! latt_str( X ), ! element( Y, the_carrier( poset_of_lattice( X ) ) )
% 10.65/11.04 , cast_to_el_of_lattice( X, Y ) ==> Y }.
% 10.65/11.04 parent0: (40584) {G0,W16,D4,L5,V2,M5} { empty_carrier( X ), ! lattice( X )
% 10.65/11.04 , ! latt_str( X ), ! element( Y, the_carrier( poset_of_lattice( X ) ) ),
% 10.65/11.04 cast_to_el_of_lattice( X, Y ) = Y }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 1 ==> 1
% 10.65/11.04 2 ==> 2
% 10.65/11.04 3 ==> 3
% 10.65/11.04 4 ==> 4
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 paramod: (40787) {G1,W25,D4,L9,V2,M9} { element( Y, the_carrier(
% 10.65/11.04 poset_of_lattice( X ) ) ), empty_carrier( X ), ! lattice( X ), ! latt_str
% 10.65/11.04 ( X ), ! element( Y, the_carrier( X ) ), empty_carrier( X ), ! lattice( X
% 10.65/11.04 ), ! latt_str( X ), ! element( Y, the_carrier( X ) ) }.
% 10.65/11.04 parent0[4]: (20) {G0,W15,D3,L5,V2,M5} I { empty_carrier( X ), ! lattice( X
% 10.65/11.04 ), ! latt_str( X ), ! element( Y, the_carrier( X ) ),
% 10.65/11.04 cast_to_el_of_LattPOSet( X, Y ) ==> Y }.
% 10.65/11.04 parent1[4; 1]: (40608) {G0,W17,D4,L5,V2,M5} { empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ), element
% 10.65/11.04 ( cast_to_el_of_LattPOSet( X, Y ), the_carrier( poset_of_lattice( X ) ) )
% 10.65/11.04 }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (40789) {G1,W21,D4,L8,V2,M8} { element( X, the_carrier(
% 10.65/11.04 poset_of_lattice( Y ) ) ), empty_carrier( Y ), ! lattice( Y ), ! latt_str
% 10.65/11.04 ( Y ), ! element( X, the_carrier( Y ) ), empty_carrier( Y ), ! lattice( Y
% 10.65/11.04 ), ! latt_str( Y ) }.
% 10.65/11.04 parent0[4, 8]: (40787) {G1,W25,D4,L9,V2,M9} { element( Y, the_carrier(
% 10.65/11.04 poset_of_lattice( X ) ) ), empty_carrier( X ), ! lattice( X ), ! latt_str
% 10.65/11.04 ( X ), ! element( Y, the_carrier( X ) ), empty_carrier( X ), ! lattice( X
% 10.65/11.04 ), ! latt_str( X ), ! element( Y, the_carrier( X ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := Y
% 10.65/11.04 Y := X
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (40790) {G1,W19,D4,L7,V2,M7} { element( X, the_carrier(
% 10.65/11.04 poset_of_lattice( Y ) ) ), empty_carrier( Y ), ! lattice( Y ), ! latt_str
% 10.65/11.04 ( Y ), ! element( X, the_carrier( Y ) ), ! lattice( Y ), ! latt_str( Y )
% 10.65/11.04 }.
% 10.65/11.04 parent0[1, 5]: (40789) {G1,W21,D4,L8,V2,M8} { element( X, the_carrier(
% 10.65/11.04 poset_of_lattice( Y ) ) ), empty_carrier( Y ), ! lattice( Y ), ! latt_str
% 10.65/11.04 ( Y ), ! element( X, the_carrier( Y ) ), empty_carrier( Y ), ! lattice( Y
% 10.65/11.04 ), ! latt_str( Y ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (40791) {G1,W17,D4,L6,V2,M6} { element( X, the_carrier(
% 10.65/11.04 poset_of_lattice( Y ) ) ), empty_carrier( Y ), ! lattice( Y ), ! latt_str
% 10.65/11.04 ( Y ), ! element( X, the_carrier( Y ) ), ! latt_str( Y ) }.
% 10.65/11.04 parent0[2, 5]: (40790) {G1,W19,D4,L7,V2,M7} { element( X, the_carrier(
% 10.65/11.04 poset_of_lattice( Y ) ) ), empty_carrier( Y ), ! lattice( Y ), ! latt_str
% 10.65/11.04 ( Y ), ! element( X, the_carrier( Y ) ), ! lattice( Y ), ! latt_str( Y )
% 10.65/11.04 }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (40792) {G1,W15,D4,L5,V2,M5} { element( X, the_carrier(
% 10.65/11.04 poset_of_lattice( Y ) ) ), empty_carrier( Y ), ! lattice( Y ), ! latt_str
% 10.65/11.04 ( Y ), ! element( X, the_carrier( Y ) ) }.
% 10.65/11.04 parent0[3, 5]: (40791) {G1,W17,D4,L6,V2,M6} { element( X, the_carrier(
% 10.65/11.04 poset_of_lattice( Y ) ) ), empty_carrier( Y ), ! lattice( Y ), ! latt_str
% 10.65/11.04 ( Y ), ! element( X, the_carrier( Y ) ), ! latt_str( Y ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (43) {G1,W15,D4,L5,V2,M5} I;d(20) { empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ), element
% 10.65/11.04 ( Y, the_carrier( poset_of_lattice( X ) ) ) }.
% 10.65/11.04 parent0: (40792) {G1,W15,D4,L5,V2,M5} { element( X, the_carrier(
% 10.65/11.04 poset_of_lattice( Y ) ) ), empty_carrier( Y ), ! lattice( Y ), ! latt_str
% 10.65/11.04 ( Y ), ! element( X, the_carrier( Y ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := Y
% 10.65/11.04 Y := X
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 4
% 10.65/11.04 1 ==> 0
% 10.65/11.04 2 ==> 1
% 10.65/11.04 3 ==> 2
% 10.65/11.04 4 ==> 3
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 paramod: (40858) {G1,W26,D4,L9,V2,M9} { element( Y, the_carrier( X ) ),
% 10.65/11.04 empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y,
% 10.65/11.04 the_carrier( poset_of_lattice( X ) ) ), empty_carrier( X ), ! lattice( X
% 10.65/11.04 ), ! latt_str( X ), ! element( Y, the_carrier( poset_of_lattice( X ) ) )
% 10.65/11.04 }.
% 10.65/11.04 parent0[4]: (21) {G0,W16,D4,L5,V2,M5} I { empty_carrier( X ), ! lattice( X
% 10.65/11.04 ), ! latt_str( X ), ! element( Y, the_carrier( poset_of_lattice( X ) ) )
% 10.65/11.04 , cast_to_el_of_lattice( X, Y ) ==> Y }.
% 10.65/11.04 parent1[4; 1]: (40609) {G0,W17,D4,L5,V2,M5} { empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! element( Y, the_carrier(
% 10.65/11.04 poset_of_lattice( X ) ) ), element( cast_to_el_of_lattice( X, Y ),
% 10.65/11.04 the_carrier( X ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (40860) {G1,W21,D4,L8,V2,M8} { element( X, the_carrier( Y ) ),
% 10.65/11.04 empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! element( X,
% 10.65/11.04 the_carrier( poset_of_lattice( Y ) ) ), empty_carrier( Y ), ! lattice( Y
% 10.65/11.04 ), ! latt_str( Y ) }.
% 10.65/11.04 parent0[4, 8]: (40858) {G1,W26,D4,L9,V2,M9} { element( Y, the_carrier( X )
% 10.65/11.04 ), empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y,
% 10.65/11.04 the_carrier( poset_of_lattice( X ) ) ), empty_carrier( X ), ! lattice( X
% 10.65/11.04 ), ! latt_str( X ), ! element( Y, the_carrier( poset_of_lattice( X ) ) )
% 10.65/11.04 }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := Y
% 10.65/11.04 Y := X
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (40861) {G1,W19,D4,L7,V2,M7} { element( X, the_carrier( Y ) ),
% 10.65/11.04 empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! element( X,
% 10.65/11.04 the_carrier( poset_of_lattice( Y ) ) ), ! lattice( Y ), ! latt_str( Y )
% 10.65/11.04 }.
% 10.65/11.04 parent0[1, 5]: (40860) {G1,W21,D4,L8,V2,M8} { element( X, the_carrier( Y )
% 10.65/11.04 ), empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! element( X,
% 10.65/11.04 the_carrier( poset_of_lattice( Y ) ) ), empty_carrier( Y ), ! lattice( Y
% 10.65/11.04 ), ! latt_str( Y ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (40862) {G1,W17,D4,L6,V2,M6} { element( X, the_carrier( Y ) ),
% 10.65/11.04 empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! element( X,
% 10.65/11.04 the_carrier( poset_of_lattice( Y ) ) ), ! latt_str( Y ) }.
% 10.65/11.04 parent0[2, 5]: (40861) {G1,W19,D4,L7,V2,M7} { element( X, the_carrier( Y )
% 10.65/11.04 ), empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! element( X,
% 10.65/11.04 the_carrier( poset_of_lattice( Y ) ) ), ! lattice( Y ), ! latt_str( Y )
% 10.65/11.04 }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (40863) {G1,W15,D4,L5,V2,M5} { element( X, the_carrier( Y ) ),
% 10.65/11.04 empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! element( X,
% 10.65/11.04 the_carrier( poset_of_lattice( Y ) ) ) }.
% 10.65/11.04 parent0[3, 5]: (40862) {G1,W17,D4,L6,V2,M6} { element( X, the_carrier( Y )
% 10.65/11.04 ), empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! element( X,
% 10.65/11.04 the_carrier( poset_of_lattice( Y ) ) ), ! latt_str( Y ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (44) {G1,W15,D4,L5,V2,M5} I;d(21) { empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! element( Y, the_carrier(
% 10.65/11.04 poset_of_lattice( X ) ) ), element( Y, the_carrier( X ) ) }.
% 10.65/11.04 parent0: (40863) {G1,W15,D4,L5,V2,M5} { element( X, the_carrier( Y ) ),
% 10.65/11.04 empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! element( X,
% 10.65/11.04 the_carrier( poset_of_lattice( Y ) ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := Y
% 10.65/11.04 Y := X
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 4
% 10.65/11.04 1 ==> 0
% 10.65/11.04 2 ==> 1
% 10.65/11.04 3 ==> 2
% 10.65/11.04 4 ==> 3
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 paramod: (41019) {G1,W29,D3,L10,V3,M10} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! element( Z, the_carrier( X ) ), !
% 10.65/11.04 latt_set_smaller( X, Z, Y ) }.
% 10.65/11.04 parent0[4]: (20) {G0,W15,D3,L5,V2,M5} I { empty_carrier( X ), ! lattice( X
% 10.65/11.04 ), ! latt_str( X ), ! element( Y, the_carrier( X ) ),
% 10.65/11.04 cast_to_el_of_LattPOSet( X, Y ) ==> Y }.
% 10.65/11.04 parent1[5; 4]: (40685) {G0,W21,D3,L6,V3,M6} { empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ), !
% 10.65/11.04 latt_set_smaller( X, Y, Z ), relstr_element_smaller( poset_of_lattice( X
% 10.65/11.04 ), Z, cast_to_el_of_LattPOSet( X, Y ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Z
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Z
% 10.65/11.04 Z := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41021) {G1,W25,D3,L9,V3,M9} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! latt_set_smaller( X, Z, Y ) }.
% 10.65/11.04 parent0[4, 8]: (41019) {G1,W29,D3,L10,V3,M10} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! element( Z, the_carrier( X ) ), !
% 10.65/11.04 latt_set_smaller( X, Z, Y ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 Z := Z
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41022) {G1,W23,D3,L8,V3,M8} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! latt_set_smaller( X, Z, Y ) }.
% 10.65/11.04 parent0[1, 5]: (41021) {G1,W25,D3,L9,V3,M9} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! latt_set_smaller( X, Z, Y ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 Z := Z
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41023) {G1,W21,D3,L7,V3,M7} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), ! latt_str( X ), !
% 10.65/11.04 latt_set_smaller( X, Z, Y ) }.
% 10.65/11.04 parent0[2, 5]: (41022) {G1,W23,D3,L8,V3,M8} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! latt_set_smaller( X, Z, Y ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 Z := Z
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41024) {G1,W19,D3,L6,V3,M6} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), ! latt_set_smaller( X, Z
% 10.65/11.04 , Y ) }.
% 10.65/11.04 parent0[3, 5]: (41023) {G1,W21,D3,L7,V3,M7} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), ! latt_str( X ), !
% 10.65/11.04 latt_set_smaller( X, Z, Y ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 Z := Z
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (115) {G1,W19,D3,L6,V3,M6} I;d(20) { empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ), !
% 10.65/11.04 latt_set_smaller( X, Y, Z ), relstr_element_smaller( poset_of_lattice( X
% 10.65/11.04 ), Z, Y ) }.
% 10.65/11.04 parent0: (41024) {G1,W19,D3,L6,V3,M6} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), ! latt_set_smaller( X, Z
% 10.65/11.04 , Y ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Z
% 10.65/11.04 Z := Y
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 5
% 10.65/11.04 1 ==> 0
% 10.65/11.04 2 ==> 1
% 10.65/11.04 3 ==> 2
% 10.65/11.04 4 ==> 3
% 10.65/11.04 5 ==> 4
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 paramod: (41187) {G1,W29,D3,L10,V3,M10} { ! relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! element( Z, the_carrier( X ) ),
% 10.65/11.04 latt_set_smaller( X, Z, Y ) }.
% 10.65/11.04 parent0[4]: (20) {G0,W15,D3,L5,V2,M5} I { empty_carrier( X ), ! lattice( X
% 10.65/11.04 ), ! latt_str( X ), ! element( Y, the_carrier( X ) ),
% 10.65/11.04 cast_to_el_of_LattPOSet( X, Y ) ==> Y }.
% 10.65/11.04 parent1[4; 5]: (40686) {G0,W21,D3,L6,V3,M6} { empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ), !
% 10.65/11.04 relstr_element_smaller( poset_of_lattice( X ), Z, cast_to_el_of_LattPOSet
% 10.65/11.04 ( X, Y ) ), latt_set_smaller( X, Y, Z ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Z
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Z
% 10.65/11.04 Z := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41189) {G1,W25,D3,L9,V3,M9} { ! relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), latt_set_smaller( X, Z, Y ) }.
% 10.65/11.04 parent0[4, 8]: (41187) {G1,W29,D3,L10,V3,M10} { ! relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! element( Z, the_carrier( X ) ),
% 10.65/11.04 latt_set_smaller( X, Z, Y ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 Z := Z
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41190) {G1,W23,D3,L8,V3,M8} { ! relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), latt_set_smaller( X, Z, Y ) }.
% 10.65/11.04 parent0[1, 5]: (41189) {G1,W25,D3,L9,V3,M9} { ! relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), latt_set_smaller( X, Z, Y ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 Z := Z
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41191) {G1,W21,D3,L7,V3,M7} { ! relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), ! latt_str( X ),
% 10.65/11.04 latt_set_smaller( X, Z, Y ) }.
% 10.65/11.04 parent0[2, 5]: (41190) {G1,W23,D3,L8,V3,M8} { ! relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), latt_set_smaller( X, Z, Y ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 Z := Z
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41192) {G1,W19,D3,L6,V3,M6} { ! relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), latt_set_smaller( X, Z,
% 10.65/11.04 Y ) }.
% 10.65/11.04 parent0[3, 5]: (41191) {G1,W21,D3,L7,V3,M7} { ! relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), ! latt_str( X ),
% 10.65/11.04 latt_set_smaller( X, Z, Y ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 Z := Z
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (116) {G1,W19,D3,L6,V3,M6} I;d(20) { empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ),
% 10.65/11.04 latt_set_smaller( X, Y, Z ), ! relstr_element_smaller( poset_of_lattice(
% 10.65/11.04 X ), Z, Y ) }.
% 10.65/11.04 parent0: (41192) {G1,W19,D3,L6,V3,M6} { ! relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( X ), Y, Z ), empty_carrier( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Z, the_carrier( X ) ), latt_set_smaller( X, Z,
% 10.65/11.04 Y ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Z
% 10.65/11.04 Z := Y
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 5
% 10.65/11.04 1 ==> 0
% 10.65/11.04 2 ==> 1
% 10.65/11.04 3 ==> 2
% 10.65/11.04 4 ==> 3
% 10.65/11.04 5 ==> 4
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (117) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol17 ) }.
% 10.65/11.04 parent0: (40687) {G0,W2,D2,L1,V0,M1} { ! empty_carrier( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (118) {G0,W2,D2,L1,V0,M1} I { lattice( skol17 ) }.
% 10.65/11.04 parent0: (40688) {G0,W2,D2,L1,V0,M1} { lattice( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (119) {G0,W2,D2,L1,V0,M1} I { latt_str( skol17 ) }.
% 10.65/11.04 parent0: (40689) {G0,W2,D2,L1,V0,M1} { latt_str( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (120) {G0,W5,D4,L1,V0,M1} I { element( skol18, the_carrier(
% 10.65/11.04 poset_of_lattice( skol17 ) ) ) }.
% 10.65/11.04 parent0: (40690) {G0,W5,D4,L1,V0,M1} { element( skol18, the_carrier(
% 10.65/11.04 poset_of_lattice( skol17 ) ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (121) {G0,W10,D3,L2,V0,M2} I { alpha7( skol17, skol18, skol19
% 10.65/11.04 ), latt_set_smaller( skol17, cast_to_el_of_lattice( skol17, skol18 ),
% 10.65/11.04 skol19 ) }.
% 10.65/11.04 parent0: (40691) {G0,W10,D3,L2,V0,M2} { alpha7( skol17, skol18, skol19 ),
% 10.65/11.04 latt_set_smaller( skol17, cast_to_el_of_lattice( skol17, skol18 ), skol19
% 10.65/11.04 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 1 ==> 1
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (122) {G0,W9,D3,L2,V0,M2} I { alpha7( skol17, skol18, skol19 )
% 10.65/11.04 , ! relstr_element_smaller( poset_of_lattice( skol17 ), skol19, skol18 )
% 10.65/11.04 }.
% 10.65/11.04 parent0: (40692) {G0,W9,D3,L2,V0,M2} { alpha7( skol17, skol18, skol19 ), !
% 10.65/11.04 relstr_element_smaller( poset_of_lattice( skol17 ), skol19, skol18 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 1 ==> 1
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (123) {G0,W9,D3,L2,V3,M2} I { ! alpha7( X, Y, Z ),
% 10.65/11.04 relstr_element_smaller( poset_of_lattice( X ), Z, Y ) }.
% 10.65/11.04 parent0: (40693) {G0,W9,D3,L2,V3,M2} { ! alpha7( X, Y, Z ),
% 10.65/11.04 relstr_element_smaller( poset_of_lattice( X ), Z, Y ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 Z := Z
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 1 ==> 1
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (124) {G0,W10,D3,L2,V3,M2} I { ! alpha7( X, Y, Z ), !
% 10.65/11.04 latt_set_smaller( X, cast_to_el_of_lattice( X, Y ), Z ) }.
% 10.65/11.04 parent0: (40694) {G0,W10,D3,L2,V3,M2} { ! alpha7( X, Y, Z ), !
% 10.65/11.04 latt_set_smaller( X, cast_to_el_of_lattice( X, Y ), Z ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 Z := Z
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 1 ==> 1
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41297) {G1,W6,D2,L3,V0,M3} { ! latt_str( skol17 ), ! lattice
% 10.65/11.04 ( skol17 ), alpha1( skol17 ) }.
% 10.65/11.04 parent0[0]: (117) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol17 ) }.
% 10.65/11.04 parent1[1]: (2) {G0,W8,D2,L4,V1,M4} I { ! latt_str( X ), empty_carrier( X )
% 10.65/11.04 , ! lattice( X ), alpha1( X ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 X := skol17
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41298) {G1,W4,D2,L2,V0,M2} { ! lattice( skol17 ), alpha1(
% 10.65/11.04 skol17 ) }.
% 10.65/11.04 parent0[0]: (41297) {G1,W6,D2,L3,V0,M3} { ! latt_str( skol17 ), ! lattice
% 10.65/11.04 ( skol17 ), alpha1( skol17 ) }.
% 10.65/11.04 parent1[0]: (119) {G0,W2,D2,L1,V0,M1} I { latt_str( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (139) {G1,W4,D2,L2,V0,M2} R(2,117);r(119) { ! lattice( skol17
% 10.65/11.04 ), alpha1( skol17 ) }.
% 10.65/11.04 parent0: (41298) {G1,W4,D2,L2,V0,M2} { ! lattice( skol17 ), alpha1( skol17
% 10.65/11.04 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 1 ==> 1
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41299) {G1,W4,D2,L2,V1,M2} { alpha13( X ), ! alpha1( X ) }.
% 10.65/11.04 parent0[0]: (7) {G0,W4,D2,L2,V1,M2} I { ! alpha8( X ), alpha13( X ) }.
% 10.65/11.04 parent1[1]: (4) {G0,W4,D2,L2,V1,M2} I { ! alpha1( X ), alpha8( X ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 X := X
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (155) {G1,W4,D2,L2,V1,M2} R(7,4) { alpha13( X ), ! alpha1( X )
% 10.65/11.04 }.
% 10.65/11.04 parent0: (41299) {G1,W4,D2,L2,V1,M2} { alpha13( X ), ! alpha1( X ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 1 ==> 1
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41300) {G1,W4,D2,L2,V1,M2} { alpha14( X ), ! alpha1( X ) }.
% 10.65/11.04 parent0[0]: (10) {G0,W4,D2,L2,V1,M2} I { ! alpha13( X ), alpha14( X ) }.
% 10.65/11.04 parent1[0]: (155) {G1,W4,D2,L2,V1,M2} R(7,4) { alpha13( X ), ! alpha1( X )
% 10.65/11.04 }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 X := X
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (167) {G2,W4,D2,L2,V1,M2} R(10,155) { alpha14( X ), ! alpha1(
% 10.65/11.04 X ) }.
% 10.65/11.04 parent0: (41300) {G1,W4,D2,L2,V1,M2} { alpha14( X ), ! alpha1( X ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 1 ==> 1
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41301) {G1,W2,D2,L1,V0,M1} { alpha1( skol17 ) }.
% 10.65/11.04 parent0[0]: (139) {G1,W4,D2,L2,V0,M2} R(2,117);r(119) { ! lattice( skol17 )
% 10.65/11.04 , alpha1( skol17 ) }.
% 10.65/11.04 parent1[0]: (118) {G0,W2,D2,L1,V0,M1} I { lattice( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (198) {G2,W2,D2,L1,V0,M1} S(139);r(118) { alpha1( skol17 ) }.
% 10.65/11.04 parent0: (41301) {G1,W2,D2,L1,V0,M1} { alpha1( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41302) {G3,W2,D2,L1,V0,M1} { alpha14( skol17 ) }.
% 10.65/11.04 parent0[1]: (167) {G2,W4,D2,L2,V1,M2} R(10,155) { alpha14( X ), ! alpha1( X
% 10.65/11.04 ) }.
% 10.65/11.04 parent1[0]: (198) {G2,W2,D2,L1,V0,M1} S(139);r(118) { alpha1( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := skol17
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (202) {G3,W2,D2,L1,V0,M1} R(198,167) { alpha14( skol17 ) }.
% 10.65/11.04 parent0: (41302) {G3,W2,D2,L1,V0,M1} { alpha14( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 eqswap: (41303) {G0,W16,D4,L5,V2,M5} { Y ==> cast_to_el_of_lattice( X, Y )
% 10.65/11.04 , empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y,
% 10.65/11.04 the_carrier( poset_of_lattice( X ) ) ) }.
% 10.65/11.04 parent0[4]: (21) {G0,W16,D4,L5,V2,M5} I { empty_carrier( X ), ! lattice( X
% 10.65/11.04 ), ! latt_str( X ), ! element( Y, the_carrier( poset_of_lattice( X ) ) )
% 10.65/11.04 , cast_to_el_of_lattice( X, Y ) ==> Y }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41304) {G1,W21,D3,L8,V2,M8} { X ==> cast_to_el_of_lattice( Y
% 10.65/11.04 , X ), empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), empty_carrier
% 10.65/11.04 ( Y ), ! lattice( Y ), ! latt_str( Y ), ! element( X, the_carrier( Y ) )
% 10.65/11.04 }.
% 10.65/11.04 parent0[4]: (41303) {G0,W16,D4,L5,V2,M5} { Y ==> cast_to_el_of_lattice( X
% 10.65/11.04 , Y ), empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y
% 10.65/11.04 , the_carrier( poset_of_lattice( X ) ) ) }.
% 10.65/11.04 parent1[4]: (43) {G1,W15,D4,L5,V2,M5} I;d(20) { empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ), element
% 10.65/11.04 ( Y, the_carrier( poset_of_lattice( X ) ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := Y
% 10.65/11.04 Y := X
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 X := Y
% 10.65/11.04 Y := X
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41305) {G1,W19,D3,L7,V2,M7} { X ==> cast_to_el_of_lattice( Y, X )
% 10.65/11.04 , empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! lattice( Y ), !
% 10.65/11.04 latt_str( Y ), ! element( X, the_carrier( Y ) ) }.
% 10.65/11.04 parent0[1, 4]: (41304) {G1,W21,D3,L8,V2,M8} { X ==> cast_to_el_of_lattice
% 10.65/11.04 ( Y, X ), empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ),
% 10.65/11.04 empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! element( X,
% 10.65/11.04 the_carrier( Y ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41306) {G1,W17,D3,L6,V2,M6} { X ==> cast_to_el_of_lattice( Y, X )
% 10.65/11.04 , empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! latt_str( Y ), !
% 10.65/11.04 element( X, the_carrier( Y ) ) }.
% 10.65/11.04 parent0[2, 4]: (41305) {G1,W19,D3,L7,V2,M7} { X ==> cast_to_el_of_lattice
% 10.65/11.04 ( Y, X ), empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! lattice
% 10.65/11.04 ( Y ), ! latt_str( Y ), ! element( X, the_carrier( Y ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41307) {G1,W15,D3,L5,V2,M5} { X ==> cast_to_el_of_lattice( Y, X )
% 10.65/11.04 , empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! element( X,
% 10.65/11.04 the_carrier( Y ) ) }.
% 10.65/11.04 parent0[3, 4]: (41306) {G1,W17,D3,L6,V2,M6} { X ==> cast_to_el_of_lattice
% 10.65/11.04 ( Y, X ), empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! latt_str
% 10.65/11.04 ( Y ), ! element( X, the_carrier( Y ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 eqswap: (41308) {G1,W15,D3,L5,V2,M5} { cast_to_el_of_lattice( Y, X ) ==> X
% 10.65/11.04 , empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! element( X,
% 10.65/11.04 the_carrier( Y ) ) }.
% 10.65/11.04 parent0[0]: (41307) {G1,W15,D3,L5,V2,M5} { X ==> cast_to_el_of_lattice( Y
% 10.65/11.04 , X ), empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! element( X
% 10.65/11.04 , the_carrier( Y ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (484) {G2,W15,D3,L5,V2,M5} R(43,21);f;f;f { empty_carrier( X )
% 10.65/11.04 , ! lattice( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ),
% 10.65/11.04 cast_to_el_of_lattice( X, Y ) ==> Y }.
% 10.65/11.04 parent0: (41308) {G1,W15,D3,L5,V2,M5} { cast_to_el_of_lattice( Y, X ) ==>
% 10.65/11.04 X, empty_carrier( Y ), ! lattice( Y ), ! latt_str( Y ), ! element( X,
% 10.65/11.04 the_carrier( Y ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := Y
% 10.65/11.04 Y := X
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 4
% 10.65/11.04 1 ==> 0
% 10.65/11.04 2 ==> 1
% 10.65/11.04 3 ==> 2
% 10.65/11.04 4 ==> 3
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41312) {G1,W15,D4,L5,V2,M5} { ! alpha14( X ), ! lattice( X )
% 10.65/11.04 , ! latt_str( X ), ! element( Y, the_carrier( poset_of_lattice( X ) ) ),
% 10.65/11.04 element( Y, the_carrier( X ) ) }.
% 10.65/11.04 parent0[1]: (13) {G0,W4,D2,L2,V1,M2} I { ! alpha14( X ), ! empty_carrier( X
% 10.65/11.04 ) }.
% 10.65/11.04 parent1[0]: (44) {G1,W15,D4,L5,V2,M5} I;d(21) { empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! element( Y, the_carrier(
% 10.65/11.04 poset_of_lattice( X ) ) ), element( Y, the_carrier( X ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (504) {G2,W15,D4,L5,V2,M5} R(44,13) { ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Y, the_carrier( poset_of_lattice( X ) ) ),
% 10.65/11.04 element( Y, the_carrier( X ) ), ! alpha14( X ) }.
% 10.65/11.04 parent0: (41312) {G1,W15,D4,L5,V2,M5} { ! alpha14( X ), ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Y, the_carrier( poset_of_lattice( X ) ) ),
% 10.65/11.04 element( Y, the_carrier( X ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 4
% 10.65/11.04 1 ==> 0
% 10.65/11.04 2 ==> 1
% 10.65/11.04 3 ==> 2
% 10.65/11.04 4 ==> 3
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 eqswap: (41313) {G0,W16,D4,L5,V2,M5} { Y ==> cast_to_el_of_lattice( X, Y )
% 10.65/11.04 , empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y,
% 10.65/11.04 the_carrier( poset_of_lattice( X ) ) ) }.
% 10.65/11.04 parent0[4]: (21) {G0,W16,D4,L5,V2,M5} I { empty_carrier( X ), ! lattice( X
% 10.65/11.04 ), ! latt_str( X ), ! element( Y, the_carrier( poset_of_lattice( X ) ) )
% 10.65/11.04 , cast_to_el_of_lattice( X, Y ) ==> Y }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := X
% 10.65/11.04 Y := Y
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41314) {G1,W11,D3,L4,V0,M4} { skol18 ==>
% 10.65/11.04 cast_to_el_of_lattice( skol17, skol18 ), empty_carrier( skol17 ), !
% 10.65/11.04 lattice( skol17 ), ! latt_str( skol17 ) }.
% 10.65/11.04 parent0[4]: (41313) {G0,W16,D4,L5,V2,M5} { Y ==> cast_to_el_of_lattice( X
% 10.65/11.04 , Y ), empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y
% 10.65/11.04 , the_carrier( poset_of_lattice( X ) ) ) }.
% 10.65/11.04 parent1[0]: (120) {G0,W5,D4,L1,V0,M1} I { element( skol18, the_carrier(
% 10.65/11.04 poset_of_lattice( skol17 ) ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := skol17
% 10.65/11.04 Y := skol18
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41315) {G1,W9,D3,L3,V0,M3} { skol18 ==> cast_to_el_of_lattice
% 10.65/11.04 ( skol17, skol18 ), ! lattice( skol17 ), ! latt_str( skol17 ) }.
% 10.65/11.04 parent0[0]: (117) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol17 ) }.
% 10.65/11.04 parent1[1]: (41314) {G1,W11,D3,L4,V0,M4} { skol18 ==>
% 10.65/11.04 cast_to_el_of_lattice( skol17, skol18 ), empty_carrier( skol17 ), !
% 10.65/11.04 lattice( skol17 ), ! latt_str( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 eqswap: (41316) {G1,W9,D3,L3,V0,M3} { cast_to_el_of_lattice( skol17,
% 10.65/11.04 skol18 ) ==> skol18, ! lattice( skol17 ), ! latt_str( skol17 ) }.
% 10.65/11.04 parent0[0]: (41315) {G1,W9,D3,L3,V0,M3} { skol18 ==> cast_to_el_of_lattice
% 10.65/11.04 ( skol17, skol18 ), ! lattice( skol17 ), ! latt_str( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (1226) {G1,W9,D3,L3,V0,M3} R(120,21);r(117) { ! lattice(
% 10.65/11.04 skol17 ), ! latt_str( skol17 ), cast_to_el_of_lattice( skol17, skol18 )
% 10.65/11.04 ==> skol18 }.
% 10.65/11.04 parent0: (41316) {G1,W9,D3,L3,V0,M3} { cast_to_el_of_lattice( skol17,
% 10.65/11.04 skol18 ) ==> skol18, ! lattice( skol17 ), ! latt_str( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 2
% 10.65/11.04 1 ==> 0
% 10.65/11.04 2 ==> 1
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41319) {G1,W23,D3,L6,V0,M6} { empty_carrier( skol17 ), !
% 10.65/11.04 lattice( skol17 ), ! latt_str( skol17 ), ! element( cast_to_el_of_lattice
% 10.65/11.04 ( skol17, skol18 ), the_carrier( skol17 ) ), relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, cast_to_el_of_lattice( skol17, skol18
% 10.65/11.04 ) ), alpha7( skol17, skol18, skol19 ) }.
% 10.65/11.04 parent0[4]: (115) {G1,W19,D3,L6,V3,M6} I;d(20) { empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ), !
% 10.65/11.04 latt_set_smaller( X, Y, Z ), relstr_element_smaller( poset_of_lattice( X
% 10.65/11.04 ), Z, Y ) }.
% 10.65/11.04 parent1[1]: (121) {G0,W10,D3,L2,V0,M2} I { alpha7( skol17, skol18, skol19 )
% 10.65/11.04 , latt_set_smaller( skol17, cast_to_el_of_lattice( skol17, skol18 ),
% 10.65/11.04 skol19 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := skol17
% 10.65/11.04 Y := cast_to_el_of_lattice( skol17, skol18 )
% 10.65/11.04 Z := skol19
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 paramod: (41321) {G2,W25,D3,L8,V0,M8} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ), ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ), empty_carrier( skol17 ), ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ), ! element( cast_to_el_of_lattice( skol17, skol18 ),
% 10.65/11.04 the_carrier( skol17 ) ), alpha7( skol17, skol18, skol19 ) }.
% 10.65/11.04 parent0[2]: (1226) {G1,W9,D3,L3,V0,M3} R(120,21);r(117) { ! lattice( skol17
% 10.65/11.04 ), ! latt_str( skol17 ), cast_to_el_of_lattice( skol17, skol18 ) ==>
% 10.65/11.04 skol18 }.
% 10.65/11.04 parent1[4; 4]: (41319) {G1,W23,D3,L6,V0,M6} { empty_carrier( skol17 ), !
% 10.65/11.04 lattice( skol17 ), ! latt_str( skol17 ), ! element( cast_to_el_of_lattice
% 10.65/11.04 ( skol17, skol18 ), the_carrier( skol17 ) ), relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, cast_to_el_of_lattice( skol17, skol18
% 10.65/11.04 ) ), alpha7( skol17, skol18, skol19 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41329) {G2,W23,D3,L7,V0,M7} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ), ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ), empty_carrier( skol17 ), ! latt_str( skol17 ), !
% 10.65/11.04 element( cast_to_el_of_lattice( skol17, skol18 ), the_carrier( skol17 ) )
% 10.65/11.04 , alpha7( skol17, skol18, skol19 ) }.
% 10.65/11.04 parent0[1, 4]: (41321) {G2,W25,D3,L8,V0,M8} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ), ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ), empty_carrier( skol17 ), ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ), ! element( cast_to_el_of_lattice( skol17, skol18 ),
% 10.65/11.04 the_carrier( skol17 ) ), alpha7( skol17, skol18, skol19 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41330) {G2,W21,D3,L6,V0,M6} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ), ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ), empty_carrier( skol17 ), ! element(
% 10.65/11.04 cast_to_el_of_lattice( skol17, skol18 ), the_carrier( skol17 ) ), alpha7
% 10.65/11.04 ( skol17, skol18, skol19 ) }.
% 10.65/11.04 parent0[2, 4]: (41329) {G2,W23,D3,L7,V0,M7} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ), ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ), empty_carrier( skol17 ), ! latt_str( skol17 ), !
% 10.65/11.04 element( cast_to_el_of_lattice( skol17, skol18 ), the_carrier( skol17 ) )
% 10.65/11.04 , alpha7( skol17, skol18, skol19 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 paramod: (41331) {G3,W29,D3,L10,V0,M10} { ! element( skol18, the_carrier(
% 10.65/11.04 skol17 ) ), empty_carrier( skol17 ), ! lattice( skol17 ), ! latt_str(
% 10.65/11.04 skol17 ), ! element( skol18, the_carrier( skol17 ) ),
% 10.65/11.04 relstr_element_smaller( poset_of_lattice( skol17 ), skol19, skol18 ), !
% 10.65/11.04 lattice( skol17 ), ! latt_str( skol17 ), empty_carrier( skol17 ), alpha7
% 10.65/11.04 ( skol17, skol18, skol19 ) }.
% 10.65/11.04 parent0[4]: (484) {G2,W15,D3,L5,V2,M5} R(43,21);f;f;f { empty_carrier( X )
% 10.65/11.04 , ! lattice( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ),
% 10.65/11.04 cast_to_el_of_lattice( X, Y ) ==> Y }.
% 10.65/11.04 parent1[4; 2]: (41330) {G2,W21,D3,L6,V0,M6} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ), ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ), empty_carrier( skol17 ), ! element(
% 10.65/11.04 cast_to_el_of_lattice( skol17, skol18 ), the_carrier( skol17 ) ), alpha7
% 10.65/11.04 ( skol17, skol18, skol19 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := skol17
% 10.65/11.04 Y := skol18
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41332) {G3,W25,D3,L9,V0,M9} { ! element( skol18, the_carrier(
% 10.65/11.04 skol17 ) ), empty_carrier( skol17 ), ! lattice( skol17 ), ! latt_str(
% 10.65/11.04 skol17 ), relstr_element_smaller( poset_of_lattice( skol17 ), skol19,
% 10.65/11.04 skol18 ), ! lattice( skol17 ), ! latt_str( skol17 ), empty_carrier(
% 10.65/11.04 skol17 ), alpha7( skol17, skol18, skol19 ) }.
% 10.65/11.04 parent0[0, 4]: (41331) {G3,W29,D3,L10,V0,M10} { ! element( skol18,
% 10.65/11.04 the_carrier( skol17 ) ), empty_carrier( skol17 ), ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ), ! element( skol18, the_carrier( skol17 ) ),
% 10.65/11.04 relstr_element_smaller( poset_of_lattice( skol17 ), skol19, skol18 ), !
% 10.65/11.04 lattice( skol17 ), ! latt_str( skol17 ), empty_carrier( skol17 ), alpha7
% 10.65/11.04 ( skol17, skol18, skol19 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41333) {G3,W23,D3,L8,V0,M8} { ! element( skol18, the_carrier(
% 10.65/11.04 skol17 ) ), empty_carrier( skol17 ), ! lattice( skol17 ), ! latt_str(
% 10.65/11.04 skol17 ), relstr_element_smaller( poset_of_lattice( skol17 ), skol19,
% 10.65/11.04 skol18 ), ! lattice( skol17 ), ! latt_str( skol17 ), alpha7( skol17,
% 10.65/11.04 skol18, skol19 ) }.
% 10.65/11.04 parent0[1, 7]: (41332) {G3,W25,D3,L9,V0,M9} { ! element( skol18,
% 10.65/11.04 the_carrier( skol17 ) ), empty_carrier( skol17 ), ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ), relstr_element_smaller( poset_of_lattice( skol17 ),
% 10.65/11.04 skol19, skol18 ), ! lattice( skol17 ), ! latt_str( skol17 ),
% 10.65/11.04 empty_carrier( skol17 ), alpha7( skol17, skol18, skol19 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41334) {G3,W21,D3,L7,V0,M7} { ! element( skol18, the_carrier(
% 10.65/11.04 skol17 ) ), empty_carrier( skol17 ), ! lattice( skol17 ), ! latt_str(
% 10.65/11.04 skol17 ), relstr_element_smaller( poset_of_lattice( skol17 ), skol19,
% 10.65/11.04 skol18 ), ! latt_str( skol17 ), alpha7( skol17, skol18, skol19 ) }.
% 10.65/11.04 parent0[2, 5]: (41333) {G3,W23,D3,L8,V0,M8} { ! element( skol18,
% 10.65/11.04 the_carrier( skol17 ) ), empty_carrier( skol17 ), ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ), relstr_element_smaller( poset_of_lattice( skol17 ),
% 10.65/11.04 skol19, skol18 ), ! lattice( skol17 ), ! latt_str( skol17 ), alpha7(
% 10.65/11.04 skol17, skol18, skol19 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41335) {G3,W19,D3,L6,V0,M6} { ! element( skol18, the_carrier(
% 10.65/11.04 skol17 ) ), empty_carrier( skol17 ), ! lattice( skol17 ), ! latt_str(
% 10.65/11.04 skol17 ), relstr_element_smaller( poset_of_lattice( skol17 ), skol19,
% 10.65/11.04 skol18 ), alpha7( skol17, skol18, skol19 ) }.
% 10.65/11.04 parent0[3, 5]: (41334) {G3,W21,D3,L7,V0,M7} { ! element( skol18,
% 10.65/11.04 the_carrier( skol17 ) ), empty_carrier( skol17 ), ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ), relstr_element_smaller( poset_of_lattice( skol17 ),
% 10.65/11.04 skol19, skol18 ), ! latt_str( skol17 ), alpha7( skol17, skol18, skol19 )
% 10.65/11.04 }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41336) {G1,W20,D3,L6,V0,M6} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ), ! element( skol18,
% 10.65/11.04 the_carrier( skol17 ) ), empty_carrier( skol17 ), ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ), relstr_element_smaller( poset_of_lattice( skol17 ),
% 10.65/11.04 skol19, skol18 ) }.
% 10.65/11.04 parent0[0]: (123) {G0,W9,D3,L2,V3,M2} I { ! alpha7( X, Y, Z ),
% 10.65/11.04 relstr_element_smaller( poset_of_lattice( X ), Z, Y ) }.
% 10.65/11.04 parent1[5]: (41335) {G3,W19,D3,L6,V0,M6} { ! element( skol18, the_carrier
% 10.65/11.04 ( skol17 ) ), empty_carrier( skol17 ), ! lattice( skol17 ), ! latt_str(
% 10.65/11.04 skol17 ), relstr_element_smaller( poset_of_lattice( skol17 ), skol19,
% 10.65/11.04 skol18 ), alpha7( skol17, skol18, skol19 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := skol17
% 10.65/11.04 Y := skol18
% 10.65/11.04 Z := skol19
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 factor: (41337) {G1,W15,D3,L5,V0,M5} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ), ! element( skol18,
% 10.65/11.04 the_carrier( skol17 ) ), empty_carrier( skol17 ), ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ) }.
% 10.65/11.04 parent0[0, 5]: (41336) {G1,W20,D3,L6,V0,M6} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ), ! element( skol18,
% 10.65/11.04 the_carrier( skol17 ) ), empty_carrier( skol17 ), ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ), relstr_element_smaller( poset_of_lattice( skol17 ),
% 10.65/11.04 skol19, skol18 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (2689) {G3,W15,D3,L5,V0,M5} R(121,115);d(1226);d(484);r(123)
% 10.65/11.04 { empty_carrier( skol17 ), ! lattice( skol17 ), ! latt_str( skol17 ), !
% 10.65/11.04 element( skol18, the_carrier( skol17 ) ), relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ) }.
% 10.65/11.04 parent0: (41337) {G1,W15,D3,L5,V0,M5} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ), ! element( skol18,
% 10.65/11.04 the_carrier( skol17 ) ), empty_carrier( skol17 ), ! lattice( skol17 ), !
% 10.65/11.04 latt_str( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 4
% 10.65/11.04 1 ==> 3
% 10.65/11.04 2 ==> 0
% 10.65/11.04 3 ==> 1
% 10.65/11.04 4 ==> 2
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41338) {G1,W10,D3,L4,V0,M4} { ! lattice( skol17 ), ! latt_str
% 10.65/11.04 ( skol17 ), element( skol18, the_carrier( skol17 ) ), ! alpha14( skol17 )
% 10.65/11.04 }.
% 10.65/11.04 parent0[2]: (504) {G2,W15,D4,L5,V2,M5} R(44,13) { ! lattice( X ), !
% 10.65/11.04 latt_str( X ), ! element( Y, the_carrier( poset_of_lattice( X ) ) ),
% 10.65/11.04 element( Y, the_carrier( X ) ), ! alpha14( X ) }.
% 10.65/11.04 parent1[0]: (120) {G0,W5,D4,L1,V0,M1} I { element( skol18, the_carrier(
% 10.65/11.04 poset_of_lattice( skol17 ) ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := skol17
% 10.65/11.04 Y := skol18
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41339) {G1,W8,D3,L3,V0,M3} { ! latt_str( skol17 ), element(
% 10.65/11.04 skol18, the_carrier( skol17 ) ), ! alpha14( skol17 ) }.
% 10.65/11.04 parent0[0]: (41338) {G1,W10,D3,L4,V0,M4} { ! lattice( skol17 ), ! latt_str
% 10.65/11.04 ( skol17 ), element( skol18, the_carrier( skol17 ) ), ! alpha14( skol17 )
% 10.65/11.04 }.
% 10.65/11.04 parent1[0]: (118) {G0,W2,D2,L1,V0,M1} I { lattice( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (13441) {G3,W8,D3,L3,V0,M3} R(504,120);r(118) { ! latt_str(
% 10.65/11.04 skol17 ), element( skol18, the_carrier( skol17 ) ), ! alpha14( skol17 )
% 10.65/11.04 }.
% 10.65/11.04 parent0: (41339) {G1,W8,D3,L3,V0,M3} { ! latt_str( skol17 ), element(
% 10.65/11.04 skol18, the_carrier( skol17 ) ), ! alpha14( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 1 ==> 1
% 10.65/11.04 2 ==> 2
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41340) {G1,W6,D3,L2,V0,M2} { element( skol18, the_carrier(
% 10.65/11.04 skol17 ) ), ! alpha14( skol17 ) }.
% 10.65/11.04 parent0[0]: (13441) {G3,W8,D3,L3,V0,M3} R(504,120);r(118) { ! latt_str(
% 10.65/11.04 skol17 ), element( skol18, the_carrier( skol17 ) ), ! alpha14( skol17 )
% 10.65/11.04 }.
% 10.65/11.04 parent1[0]: (119) {G0,W2,D2,L1,V0,M1} I { latt_str( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41341) {G2,W4,D3,L1,V0,M1} { element( skol18, the_carrier(
% 10.65/11.04 skol17 ) ) }.
% 10.65/11.04 parent0[1]: (41340) {G1,W6,D3,L2,V0,M2} { element( skol18, the_carrier(
% 10.65/11.04 skol17 ) ), ! alpha14( skol17 ) }.
% 10.65/11.04 parent1[0]: (202) {G3,W2,D2,L1,V0,M1} R(198,167) { alpha14( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (20089) {G4,W4,D3,L1,V0,M1} S(13441);r(119);r(202) { element(
% 10.65/11.04 skol18, the_carrier( skol17 ) ) }.
% 10.65/11.04 parent0: (41341) {G2,W4,D3,L1,V0,M1} { element( skol18, the_carrier(
% 10.65/11.04 skol17 ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41342) {G1,W13,D3,L4,V0,M4} { ! lattice( skol17 ), ! latt_str
% 10.65/11.04 ( skol17 ), ! element( skol18, the_carrier( skol17 ) ),
% 10.65/11.04 relstr_element_smaller( poset_of_lattice( skol17 ), skol19, skol18 ) }.
% 10.65/11.04 parent0[0]: (117) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol17 ) }.
% 10.65/11.04 parent1[0]: (2689) {G3,W15,D3,L5,V0,M5} R(121,115);d(1226);d(484);r(123) {
% 10.65/11.04 empty_carrier( skol17 ), ! lattice( skol17 ), ! latt_str( skol17 ), !
% 10.65/11.04 element( skol18, the_carrier( skol17 ) ), relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41343) {G1,W11,D3,L3,V0,M3} { ! latt_str( skol17 ), ! element
% 10.65/11.04 ( skol18, the_carrier( skol17 ) ), relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ) }.
% 10.65/11.04 parent0[0]: (41342) {G1,W13,D3,L4,V0,M4} { ! lattice( skol17 ), ! latt_str
% 10.65/11.04 ( skol17 ), ! element( skol18, the_carrier( skol17 ) ),
% 10.65/11.04 relstr_element_smaller( poset_of_lattice( skol17 ), skol19, skol18 ) }.
% 10.65/11.04 parent1[0]: (118) {G0,W2,D2,L1,V0,M1} I { lattice( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41344) {G1,W9,D3,L2,V0,M2} { ! element( skol18, the_carrier(
% 10.65/11.04 skol17 ) ), relstr_element_smaller( poset_of_lattice( skol17 ), skol19,
% 10.65/11.04 skol18 ) }.
% 10.65/11.04 parent0[0]: (41343) {G1,W11,D3,L3,V0,M3} { ! latt_str( skol17 ), ! element
% 10.65/11.04 ( skol18, the_carrier( skol17 ) ), relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ) }.
% 10.65/11.04 parent1[0]: (119) {G0,W2,D2,L1,V0,M1} I { latt_str( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41345) {G2,W5,D3,L1,V0,M1} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ) }.
% 10.65/11.04 parent0[0]: (41344) {G1,W9,D3,L2,V0,M2} { ! element( skol18, the_carrier(
% 10.65/11.04 skol17 ) ), relstr_element_smaller( poset_of_lattice( skol17 ), skol19,
% 10.65/11.04 skol18 ) }.
% 10.65/11.04 parent1[0]: (20089) {G4,W4,D3,L1,V0,M1} S(13441);r(119);r(202) { element(
% 10.65/11.04 skol18, the_carrier( skol17 ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (20292) {G5,W5,D3,L1,V0,M1} S(2689);r(117);r(118);r(119);r(
% 10.65/11.04 20089) { relstr_element_smaller( poset_of_lattice( skol17 ), skol19,
% 10.65/11.04 skol18 ) }.
% 10.65/11.04 parent0: (41345) {G2,W5,D3,L1,V0,M1} { relstr_element_smaller(
% 10.65/11.04 poset_of_lattice( skol17 ), skol19, skol18 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41347) {G1,W7,D3,L2,V0,M2} { ! latt_str( skol17 ),
% 10.65/11.04 cast_to_el_of_lattice( skol17, skol18 ) ==> skol18 }.
% 10.65/11.04 parent0[0]: (1226) {G1,W9,D3,L3,V0,M3} R(120,21);r(117) { ! lattice( skol17
% 10.65/11.04 ), ! latt_str( skol17 ), cast_to_el_of_lattice( skol17, skol18 ) ==>
% 10.65/11.04 skol18 }.
% 10.65/11.04 parent1[0]: (118) {G0,W2,D2,L1,V0,M1} I { lattice( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41348) {G1,W5,D3,L1,V0,M1} { cast_to_el_of_lattice( skol17,
% 10.65/11.04 skol18 ) ==> skol18 }.
% 10.65/11.04 parent0[0]: (41347) {G1,W7,D3,L2,V0,M2} { ! latt_str( skol17 ),
% 10.65/11.04 cast_to_el_of_lattice( skol17, skol18 ) ==> skol18 }.
% 10.65/11.04 parent1[0]: (119) {G0,W2,D2,L1,V0,M1} I { latt_str( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (20316) {G2,W5,D3,L1,V0,M1} S(1226);r(118);r(119) {
% 10.65/11.04 cast_to_el_of_lattice( skol17, skol18 ) ==> skol18 }.
% 10.65/11.04 parent0: (41348) {G1,W5,D3,L1,V0,M1} { cast_to_el_of_lattice( skol17,
% 10.65/11.04 skol18 ) ==> skol18 }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41350) {G1,W4,D2,L1,V0,M1} { alpha7( skol17, skol18, skol19 )
% 10.65/11.04 }.
% 10.65/11.04 parent0[1]: (122) {G0,W9,D3,L2,V0,M2} I { alpha7( skol17, skol18, skol19 )
% 10.65/11.04 , ! relstr_element_smaller( poset_of_lattice( skol17 ), skol19, skol18 )
% 10.65/11.04 }.
% 10.65/11.04 parent1[0]: (20292) {G5,W5,D3,L1,V0,M1} S(2689);r(117);r(118);r(119);r(
% 10.65/11.04 20089) { relstr_element_smaller( poset_of_lattice( skol17 ), skol19,
% 10.65/11.04 skol18 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (20327) {G6,W4,D2,L1,V0,M1} S(122);r(20292) { alpha7( skol17,
% 10.65/11.04 skol18, skol19 ) }.
% 10.65/11.04 parent0: (41350) {G1,W4,D2,L1,V0,M1} { alpha7( skol17, skol18, skol19 )
% 10.65/11.04 }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41352) {G1,W6,D3,L1,V0,M1} { ! latt_set_smaller( skol17,
% 10.65/11.04 cast_to_el_of_lattice( skol17, skol18 ), skol19 ) }.
% 10.65/11.04 parent0[0]: (124) {G0,W10,D3,L2,V3,M2} I { ! alpha7( X, Y, Z ), !
% 10.65/11.04 latt_set_smaller( X, cast_to_el_of_lattice( X, Y ), Z ) }.
% 10.65/11.04 parent1[0]: (20327) {G6,W4,D2,L1,V0,M1} S(122);r(20292) { alpha7( skol17,
% 10.65/11.04 skol18, skol19 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := skol17
% 10.65/11.04 Y := skol18
% 10.65/11.04 Z := skol19
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 paramod: (41353) {G2,W4,D2,L1,V0,M1} { ! latt_set_smaller( skol17, skol18
% 10.65/11.04 , skol19 ) }.
% 10.65/11.04 parent0[0]: (20316) {G2,W5,D3,L1,V0,M1} S(1226);r(118);r(119) {
% 10.65/11.04 cast_to_el_of_lattice( skol17, skol18 ) ==> skol18 }.
% 10.65/11.04 parent1[0; 3]: (41352) {G1,W6,D3,L1,V0,M1} { ! latt_set_smaller( skol17,
% 10.65/11.04 cast_to_el_of_lattice( skol17, skol18 ), skol19 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (20335) {G7,W4,D2,L1,V0,M1} R(20327,124);d(20316) { !
% 10.65/11.04 latt_set_smaller( skol17, skol18, skol19 ) }.
% 10.65/11.04 parent0: (41353) {G2,W4,D2,L1,V0,M1} { ! latt_set_smaller( skol17, skol18
% 10.65/11.04 , skol19 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41354) {G2,W14,D3,L5,V0,M5} { empty_carrier( skol17 ), !
% 10.65/11.04 lattice( skol17 ), ! latt_str( skol17 ), ! element( skol18, the_carrier(
% 10.65/11.04 skol17 ) ), latt_set_smaller( skol17, skol18, skol19 ) }.
% 10.65/11.04 parent0[5]: (116) {G1,W19,D3,L6,V3,M6} I;d(20) { empty_carrier( X ), !
% 10.65/11.04 lattice( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ),
% 10.65/11.04 latt_set_smaller( X, Y, Z ), ! relstr_element_smaller( poset_of_lattice(
% 10.65/11.04 X ), Z, Y ) }.
% 10.65/11.04 parent1[0]: (20292) {G5,W5,D3,L1,V0,M1} S(2689);r(117);r(118);r(119);r(
% 10.65/11.04 20089) { relstr_element_smaller( poset_of_lattice( skol17 ), skol19,
% 10.65/11.04 skol18 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 X := skol17
% 10.65/11.04 Y := skol18
% 10.65/11.04 Z := skol19
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41355) {G1,W12,D3,L4,V0,M4} { ! lattice( skol17 ), ! latt_str
% 10.65/11.04 ( skol17 ), ! element( skol18, the_carrier( skol17 ) ), latt_set_smaller
% 10.65/11.04 ( skol17, skol18, skol19 ) }.
% 10.65/11.04 parent0[0]: (117) {G0,W2,D2,L1,V0,M1} I { ! empty_carrier( skol17 ) }.
% 10.65/11.04 parent1[0]: (41354) {G2,W14,D3,L5,V0,M5} { empty_carrier( skol17 ), !
% 10.65/11.04 lattice( skol17 ), ! latt_str( skol17 ), ! element( skol18, the_carrier(
% 10.65/11.04 skol17 ) ), latt_set_smaller( skol17, skol18, skol19 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (20564) {G6,W12,D3,L4,V0,M4} R(20292,116);r(117) { ! lattice(
% 10.65/11.04 skol17 ), ! latt_str( skol17 ), ! element( skol18, the_carrier( skol17 )
% 10.65/11.04 ), latt_set_smaller( skol17, skol18, skol19 ) }.
% 10.65/11.04 parent0: (41355) {G1,W12,D3,L4,V0,M4} { ! lattice( skol17 ), ! latt_str(
% 10.65/11.04 skol17 ), ! element( skol18, the_carrier( skol17 ) ), latt_set_smaller(
% 10.65/11.04 skol17, skol18, skol19 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 0 ==> 0
% 10.65/11.04 1 ==> 1
% 10.65/11.04 2 ==> 2
% 10.65/11.04 3 ==> 3
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41356) {G1,W10,D3,L3,V0,M3} { ! latt_str( skol17 ), ! element
% 10.65/11.04 ( skol18, the_carrier( skol17 ) ), latt_set_smaller( skol17, skol18,
% 10.65/11.04 skol19 ) }.
% 10.65/11.04 parent0[0]: (20564) {G6,W12,D3,L4,V0,M4} R(20292,116);r(117) { ! lattice(
% 10.65/11.04 skol17 ), ! latt_str( skol17 ), ! element( skol18, the_carrier( skol17 )
% 10.65/11.04 ), latt_set_smaller( skol17, skol18, skol19 ) }.
% 10.65/11.04 parent1[0]: (118) {G0,W2,D2,L1,V0,M1} I { lattice( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41357) {G1,W8,D3,L2,V0,M2} { ! element( skol18, the_carrier(
% 10.65/11.04 skol17 ) ), latt_set_smaller( skol17, skol18, skol19 ) }.
% 10.65/11.04 parent0[0]: (41356) {G1,W10,D3,L3,V0,M3} { ! latt_str( skol17 ), ! element
% 10.65/11.04 ( skol18, the_carrier( skol17 ) ), latt_set_smaller( skol17, skol18,
% 10.65/11.04 skol19 ) }.
% 10.65/11.04 parent1[0]: (119) {G0,W2,D2,L1,V0,M1} I { latt_str( skol17 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41358) {G2,W4,D2,L1,V0,M1} { latt_set_smaller( skol17, skol18
% 10.65/11.04 , skol19 ) }.
% 10.65/11.04 parent0[0]: (41357) {G1,W8,D3,L2,V0,M2} { ! element( skol18, the_carrier(
% 10.65/11.04 skol17 ) ), latt_set_smaller( skol17, skol18, skol19 ) }.
% 10.65/11.04 parent1[0]: (20089) {G4,W4,D3,L1,V0,M1} S(13441);r(119);r(202) { element(
% 10.65/11.04 skol18, the_carrier( skol17 ) ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 resolution: (41359) {G3,W0,D0,L0,V0,M0} { }.
% 10.65/11.04 parent0[0]: (20335) {G7,W4,D2,L1,V0,M1} R(20327,124);d(20316) { !
% 10.65/11.04 latt_set_smaller( skol17, skol18, skol19 ) }.
% 10.65/11.04 parent1[0]: (41358) {G2,W4,D2,L1,V0,M1} { latt_set_smaller( skol17, skol18
% 10.65/11.04 , skol19 ) }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 substitution1:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 subsumption: (40560) {G8,W0,D0,L0,V0,M0} S(20564);r(118);r(119);r(20089);r(
% 10.65/11.04 20335) { }.
% 10.65/11.04 parent0: (41359) {G3,W0,D0,L0,V0,M0} { }.
% 10.65/11.04 substitution0:
% 10.65/11.04 end
% 10.65/11.04 permutation0:
% 10.65/11.04 end
% 10.65/11.04
% 10.65/11.04 Proof check complete!
% 10.65/11.04
% 10.65/11.04 Memory use:
% 10.65/11.04
% 10.65/11.04 space for terms: 506995
% 10.65/11.04 space for clauses: 1669411
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 clauses generated: 170471
% 10.65/11.04 clauses kept: 40561
% 10.65/11.04 clauses selected: 2208
% 10.65/11.04 clauses deleted: 2764
% 10.65/11.04 clauses inuse deleted: 133
% 10.65/11.04
% 10.65/11.04 subsentry: 388045
% 10.65/11.04 literals s-matched: 240595
% 10.65/11.04 literals matched: 230992
% 10.65/11.04 full subsumption: 17881
% 10.65/11.04
% 10.65/11.04 checksum: -1259260204
% 10.65/11.04
% 10.65/11.04
% 10.65/11.04 Bliksem ended
%------------------------------------------------------------------------------