TSTP Solution File: SEU349+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SEU349+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n010.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   : Unknown 3.73s 4.11s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SEU349+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14  % Command  : bliksem %s
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % DateTime : Mon Jun 20 08:12:22 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.50/1.15  *** allocated 10000 integers for termspace/termends
% 0.50/1.15  *** allocated 10000 integers for clauses
% 0.50/1.15  *** allocated 10000 integers for justifications
% 0.50/1.15  Bliksem 1.12
% 0.50/1.15  
% 0.50/1.15  
% 0.50/1.15  Automatic Strategy Selection
% 0.50/1.15  
% 0.50/1.15  
% 0.50/1.15  Clauses:
% 0.50/1.15  
% 0.50/1.15  { ! rel_str( X ), ! strict_rel_str( X ), X = rel_str_of( the_carrier( X ), 
% 0.50/1.15    the_InternalRel( X ) ) }.
% 0.50/1.15  { ! in( X, Y ), ! in( Y, X ) }.
% 0.50/1.15  { ! latt_str( X ), empty_carrier( X ), ! lattice( X ), alpha3( X ) }.
% 0.50/1.15  { ! latt_str( X ), empty_carrier( X ), ! lattice( X ), join_absorbing( X )
% 0.50/1.15     }.
% 0.50/1.15  { ! alpha3( X ), alpha10( X ) }.
% 0.50/1.15  { ! alpha3( X ), meet_absorbing( X ) }.
% 0.50/1.15  { ! alpha10( X ), ! meet_absorbing( X ), alpha3( X ) }.
% 0.50/1.15  { ! alpha10( X ), alpha15( X ) }.
% 0.50/1.15  { ! alpha10( X ), meet_associative( X ) }.
% 0.50/1.15  { ! alpha15( X ), ! meet_associative( X ), alpha10( X ) }.
% 0.50/1.15  { ! alpha15( X ), alpha16( X ) }.
% 0.50/1.15  { ! alpha15( X ), meet_commutative( X ) }.
% 0.50/1.15  { ! alpha16( X ), ! meet_commutative( X ), alpha15( X ) }.
% 0.50/1.15  { ! alpha16( X ), ! empty_carrier( X ) }.
% 0.50/1.15  { ! alpha16( X ), join_commutative( X ) }.
% 0.50/1.15  { ! alpha16( X ), join_associative( X ) }.
% 0.50/1.15  { empty_carrier( X ), ! join_commutative( X ), ! join_associative( X ), 
% 0.50/1.15    alpha16( X ) }.
% 0.50/1.15  { ! element( X, powerset( cartesian_product2( Y, Z ) ) ), relation( X ) }.
% 0.50/1.15  { ! latt_str( X ), empty_carrier( X ), ! join_commutative( X ), ! 
% 0.50/1.15    join_associative( X ), ! meet_commutative( X ), ! meet_associative( X ), 
% 0.50/1.15    ! meet_absorbing( X ), ! join_absorbing( X ), ! empty_carrier( X ) }.
% 0.50/1.15  { ! latt_str( X ), empty_carrier( X ), ! join_commutative( X ), ! 
% 0.50/1.15    join_associative( X ), ! meet_commutative( X ), ! meet_associative( X ), 
% 0.50/1.15    ! meet_absorbing( X ), ! join_absorbing( X ), lattice( X ) }.
% 0.50/1.15  { empty_carrier( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ), ! 
% 0.50/1.15    latt_element_smaller( X, Y, Z ), ! element( T, the_carrier( X ) ), alpha1
% 0.50/1.15    ( X, Y, Z, T ) }.
% 0.50/1.15  { empty_carrier( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ), 
% 0.50/1.15    element( skol1( X, T, U ), the_carrier( X ) ), latt_element_smaller( X, Y
% 0.50/1.15    , Z ) }.
% 0.50/1.15  { empty_carrier( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ), ! 
% 0.50/1.15    alpha1( X, Y, Z, skol1( X, Y, Z ) ), latt_element_smaller( X, Y, Z ) }.
% 0.50/1.15  { ! alpha1( X, Y, Z, T ), ! in( T, Z ), below( X, T, Y ) }.
% 0.50/1.15  { in( T, Z ), alpha1( X, Y, Z, T ) }.
% 0.50/1.15  { ! below( X, T, Y ), alpha1( X, Y, Z, T ) }.
% 0.50/1.15  { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), poset_of_lattice( X
% 0.50/1.15     ) = rel_str_of( the_carrier( X ), k2_lattice3( X ) ) }.
% 0.50/1.15  { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y, 
% 0.50/1.15    the_carrier( X ) ), cast_to_el_of_LattPOSet( X, Y ) = Y }.
% 0.50/1.15  { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y, 
% 0.50/1.15    the_carrier( poset_of_lattice( X ) ) ), cast_to_el_of_lattice( X, Y ) = Y
% 0.50/1.15     }.
% 0.50/1.15  { ! rel_str( X ), ! element( Y, the_carrier( X ) ), ! relstr_set_smaller( X
% 0.50/1.15    , Z, Y ), ! element( T, the_carrier( X ) ), alpha2( X, Y, Z, T ) }.
% 0.50/1.15  { ! rel_str( X ), ! element( Y, the_carrier( X ) ), element( skol2( X, T, U
% 0.50/1.15     ), the_carrier( X ) ), relstr_set_smaller( X, Z, Y ) }.
% 0.50/1.15  { ! rel_str( X ), ! element( Y, the_carrier( X ) ), ! alpha2( X, Y, Z, 
% 0.50/1.15    skol2( X, Y, Z ) ), relstr_set_smaller( X, Z, Y ) }.
% 0.50/1.15  { ! alpha2( X, Y, Z, T ), ! in( T, Z ), related( X, T, Y ) }.
% 0.50/1.15  { in( T, Z ), alpha2( X, Y, Z, T ) }.
% 0.50/1.15  { ! related( X, T, Y ), alpha2( X, Y, Z, T ) }.
% 0.50/1.15  { ! relation_of2( Y, X, X ), strict_rel_str( rel_str_of( X, Y ) ) }.
% 0.50/1.15  { ! relation_of2( Y, X, X ), rel_str( rel_str_of( X, Y ) ) }.
% 0.50/1.15  { && }.
% 0.50/1.15  { && }.
% 0.50/1.15  { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), alpha4( X ) }.
% 0.50/1.15  { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), 
% 0.50/1.15    relation_of2_as_subset( k2_lattice3( X ), the_carrier( X ), the_carrier( 
% 0.50/1.15    X ) ) }.
% 0.50/1.15  { ! alpha4( X ), alpha11( X ) }.
% 0.50/1.15  { ! alpha4( X ), v1_partfun1( k2_lattice3( X ), the_carrier( X ), 
% 0.50/1.15    the_carrier( X ) ) }.
% 0.50/1.15  { ! alpha11( X ), ! v1_partfun1( k2_lattice3( X ), the_carrier( X ), 
% 0.50/1.15    the_carrier( X ) ), alpha4( X ) }.
% 0.50/1.15  { ! alpha11( X ), reflexive( k2_lattice3( X ) ) }.
% 0.50/1.15  { ! alpha11( X ), antisymmetric( k2_lattice3( X ) ) }.
% 0.50/1.15  { ! alpha11( X ), transitive( k2_lattice3( X ) ) }.
% 0.50/1.15  { ! reflexive( k2_lattice3( X ) ), ! antisymmetric( k2_lattice3( X ) ), ! 
% 0.50/1.15    transitive( k2_lattice3( X ) ), alpha11( X ) }.
% 0.50/1.15  { && }.
% 0.50/1.15  { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), alpha5( X ) }.
% 0.50/1.15  { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), rel_str( 
% 0.50/1.15    poset_of_lattice( X ) ) }.
% 0.50/1.15  { ! alpha5( X ), alpha12( X ) }.
% 0.50/1.15  { ! alpha5( X ), antisymmetric_relstr( poset_of_lattice( X ) ) }.
% 0.50/1.15  { ! alpha12( X ), ! antisymmetric_relstr( poset_of_lattice( X ) ), alpha5( 
% 0.50/1.15    X ) }.
% 0.50/1.15  { ! alpha12( X ), strict_rel_str( poset_of_lattice( X ) ) }.
% 0.50/1.15  { ! alpha12( X ), reflexive_relstr( poset_of_lattice( X ) ) }.
% 0.50/1.15  { ! alpha12( X ), transitive_relstr( poset_of_lattice( X ) ) }.
% 0.50/1.15  { ! strict_rel_str( poset_of_lattice( X ) ), ! reflexive_relstr( 
% 0.50/1.15    poset_of_lattice( X ) ), ! transitive_relstr( poset_of_lattice( X ) ), 
% 0.50/1.15    alpha12( X ) }.
% 0.50/1.15  { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y, 
% 0.50/1.15    the_carrier( X ) ), element( cast_to_el_of_LattPOSet( X, Y ), the_carrier
% 0.50/1.15    ( poset_of_lattice( X ) ) ) }.
% 0.50/1.15  { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y, 
% 0.50/1.15    the_carrier( poset_of_lattice( X ) ) ), element( cast_to_el_of_lattice( X
% 0.50/1.15    , Y ), the_carrier( X ) ) }.
% 0.50/1.15  { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), relation( 
% 0.50/1.15    relation_of_lattice( X ) ) }.
% 0.50/1.15  { ! meet_semilatt_str( X ), one_sorted_str( X ) }.
% 0.50/1.15  { ! rel_str( X ), one_sorted_str( X ) }.
% 0.50/1.15  { && }.
% 0.50/1.15  { ! join_semilatt_str( X ), one_sorted_str( X ) }.
% 0.50/1.15  { ! latt_str( X ), meet_semilatt_str( X ) }.
% 0.50/1.15  { ! latt_str( X ), join_semilatt_str( X ) }.
% 0.50/1.15  { && }.
% 0.50/1.15  { && }.
% 0.50/1.15  { ! relation_of2_as_subset( Z, X, Y ), element( Z, powerset( 
% 0.50/1.15    cartesian_product2( X, Y ) ) ) }.
% 0.50/1.15  { ! rel_str( X ), relation_of2_as_subset( the_InternalRel( X ), the_carrier
% 0.50/1.15    ( X ), the_carrier( X ) ) }.
% 0.50/1.15  { && }.
% 0.50/1.15  { meet_semilatt_str( skol3 ) }.
% 0.50/1.15  { rel_str( skol4 ) }.
% 0.50/1.15  { one_sorted_str( skol5 ) }.
% 0.50/1.15  { join_semilatt_str( skol6 ) }.
% 0.50/1.15  { latt_str( skol7 ) }.
% 0.50/1.15  { relation_of2( skol8( X, Y ), X, Y ) }.
% 0.50/1.15  { element( skol9( X ), X ) }.
% 0.50/1.15  { relation_of2_as_subset( skol10( X, Y ), X, Y ) }.
% 0.50/1.15  { empty( X ), ! relation_of2( Y, X, X ), ! empty_carrier( rel_str_of( X, Y
% 0.50/1.15     ) ) }.
% 0.50/1.15  { empty( X ), ! relation_of2( Y, X, X ), strict_rel_str( rel_str_of( X, Y )
% 0.50/1.15     ) }.
% 0.50/1.15  { empty_carrier( X ), ! one_sorted_str( X ), ! empty( the_carrier( X ) ) }
% 0.50/1.15    .
% 0.50/1.15  { ! empty( powerset( X ) ) }.
% 0.50/1.15  { empty( empty_set ) }.
% 0.50/1.15  { ! reflexive_relstr( X ), ! transitive_relstr( X ), ! antisymmetric_relstr
% 0.50/1.15    ( X ), ! rel_str( X ), alpha6( X ) }.
% 0.50/1.15  { ! reflexive_relstr( X ), ! transitive_relstr( X ), ! antisymmetric_relstr
% 0.50/1.15    ( X ), ! rel_str( X ), v1_partfun1( the_InternalRel( X ), the_carrier( X
% 0.50/1.15     ), the_carrier( X ) ) }.
% 0.50/1.15  { ! alpha6( X ), alpha13( X ) }.
% 0.50/1.15  { ! alpha6( X ), transitive( the_InternalRel( X ) ) }.
% 0.50/1.15  { ! alpha13( X ), ! transitive( the_InternalRel( X ) ), alpha6( X ) }.
% 0.50/1.15  { ! alpha13( X ), relation( the_InternalRel( X ) ) }.
% 0.50/1.15  { ! alpha13( X ), reflexive( the_InternalRel( X ) ) }.
% 0.50/1.15  { ! alpha13( X ), antisymmetric( the_InternalRel( X ) ) }.
% 0.50/1.15  { ! relation( the_InternalRel( X ) ), ! reflexive( the_InternalRel( X ) ), 
% 0.50/1.15    ! antisymmetric( the_InternalRel( X ) ), alpha13( X ) }.
% 0.50/1.15  { ! reflexive( Y ), ! antisymmetric( Y ), ! transitive( Y ), ! v1_partfun1
% 0.50/1.15    ( Y, X, X ), ! relation_of2( Y, X, X ), alpha7( X, Y ) }.
% 0.50/1.15  { ! reflexive( Y ), ! antisymmetric( Y ), ! transitive( Y ), ! v1_partfun1
% 0.50/1.15    ( Y, X, X ), ! relation_of2( Y, X, X ), antisymmetric_relstr( rel_str_of
% 0.50/1.15    ( X, Y ) ) }.
% 0.50/1.15  { ! alpha7( X, Y ), strict_rel_str( rel_str_of( X, Y ) ) }.
% 0.50/1.15  { ! alpha7( X, Y ), reflexive_relstr( rel_str_of( X, Y ) ) }.
% 0.50/1.15  { ! alpha7( X, Y ), transitive_relstr( rel_str_of( X, Y ) ) }.
% 0.50/1.15  { ! strict_rel_str( rel_str_of( X, Y ) ), ! reflexive_relstr( rel_str_of( X
% 0.50/1.15    , Y ) ), ! transitive_relstr( rel_str_of( X, Y ) ), alpha7( X, Y ) }.
% 0.50/1.15  { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), alpha8( X ) }.
% 0.50/1.15  { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), antisymmetric_relstr
% 0.50/1.15    ( poset_of_lattice( X ) ) }.
% 0.50/1.15  { ! alpha8( X ), alpha14( X ) }.
% 0.50/1.15  { ! alpha8( X ), transitive_relstr( poset_of_lattice( X ) ) }.
% 0.50/1.15  { ! alpha14( X ), ! transitive_relstr( poset_of_lattice( X ) ), alpha8( X )
% 0.50/1.15     }.
% 0.50/1.15  { ! alpha14( X ), ! empty_carrier( poset_of_lattice( X ) ) }.
% 0.50/1.15  { ! alpha14( X ), strict_rel_str( poset_of_lattice( X ) ) }.
% 0.50/1.15  { ! alpha14( X ), reflexive_relstr( poset_of_lattice( X ) ) }.
% 0.50/1.15  { empty_carrier( poset_of_lattice( X ) ), ! strict_rel_str( 
% 0.50/1.15    poset_of_lattice( X ) ), ! reflexive_relstr( poset_of_lattice( X ) ), 
% 0.50/1.15    alpha14( X ) }.
% 0.50/1.15  { empty( X ), empty( Y ), ! empty( cartesian_product2( X, Y ) ) }.
% 0.50/1.15  { ! relation_of2( Y, X, X ), ! rel_str_of( X, Y ) = rel_str_of( Z, T ), X =
% 0.50/1.15     Z }.
% 0.50/1.15  { ! relation_of2( Y, X, X ), ! rel_str_of( X, Y ) = rel_str_of( Z, T ), Y =
% 0.50/1.15     T }.
% 0.50/1.15  { rel_str( skol11 ) }.
% 0.50/1.15  { strict_rel_str( skol11 ) }.
% 0.50/1.15  { empty( X ), ! empty( skol12( Y ) ) }.
% 0.50/1.15  { empty( X ), element( skol12( X ), powerset( X ) ) }.
% 0.50/1.15  { empty( skol13 ) }.
% 0.50/1.15  { rel_str( skol14 ) }.
% 0.50/1.15  { ! empty_carrier( skol14 ) }.
% 0.50/1.15  { strict_rel_str( skol14 ) }.
% 0.50/1.15  { reflexive_relstr( skol14 ) }.
% 0.50/1.15  { transitive_relstr( skol14 ) }.
% 0.50/1.15  { antisymmetric_relstr( skol14 ) }.
% 0.50/1.15  { empty( skol15( Y ) ) }.
% 0.50/1.15  { element( skol15( X ), powerset( X ) ) }.
% 0.50/1.15  { ! empty( skol16 ) }.
% 0.50/1.15  { one_sorted_str( skol17 ) }.
% 0.50/1.15  { ! empty_carrier( skol17 ) }.
% 0.50/1.15  { empty_carrier( X ), ! one_sorted_str( X ), ! empty( skol18( Y ) ) }.
% 0.50/1.15  { empty_carrier( X ), ! one_sorted_str( X ), element( skol18( X ), powerset
% 0.50/1.15    ( the_carrier( X ) ) ) }.
% 0.50/1.15  { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), k2_lattice3( X ) = 
% 0.50/1.15    relation_of_lattice( X ) }.
% 0.50/1.15  { ! relation_of2_as_subset( Z, X, Y ), relation_of2( Z, X, Y ) }.
% 0.50/1.15  { ! relation_of2( Z, X, Y ), relation_of2_as_subset( Z, X, Y ) }.
% 0.50/1.15  { empty_carrier( X ), ! meet_commutative( X ), ! meet_absorbing( X ), ! 
% 0.50/1.15    join_absorbing( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ), !
% 0.50/1.15     element( Z, the_carrier( X ) ), ! below_refl( X, Y, Z ), below( X, Y, Z
% 0.50/1.15     ) }.
% 0.50/1.15  { empty_carrier( X ), ! meet_commutative( X ), ! meet_absorbing( X ), ! 
% 0.50/1.15    join_absorbing( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ), !
% 0.50/1.15     element( Z, the_carrier( X ) ), ! below( X, Y, Z ), below_refl( X, Y, Z
% 0.50/1.15     ) }.
% 0.50/1.15  { empty_carrier( X ), ! reflexive_relstr( X ), ! rel_str( X ), ! element( Y
% 0.50/1.15    , the_carrier( X ) ), ! element( Z, the_carrier( X ) ), ! 
% 0.50/1.15    related_reflexive( X, Y, Z ), related( X, Y, Z ) }.
% 0.50/1.15  { empty_carrier( X ), ! reflexive_relstr( X ), ! rel_str( X ), ! element( Y
% 0.50/1.15    , the_carrier( X ) ), ! element( Z, the_carrier( X ) ), ! related( X, Y, 
% 0.50/1.15    Z ), related_reflexive( X, Y, Z ) }.
% 0.50/1.15  { subset( X, X ) }.
% 0.50/1.15  { empty_carrier( X ), ! meet_commutative( X ), ! meet_absorbing( X ), ! 
% 0.50/1.15    join_absorbing( X ), ! latt_str( X ), ! element( Y, the_carrier( X ) ), !
% 0.50/1.15     element( Z, the_carrier( X ) ), below_refl( X, Y, Y ) }.
% 0.50/1.15  { empty_carrier( X ), ! reflexive_relstr( X ), ! rel_str( X ), ! element( Y
% 0.50/1.15    , the_carrier( X ) ), ! element( Z, the_carrier( X ) ), related_reflexive
% 0.50/1.15    ( X, Y, Y ) }.
% 0.50/1.15  { ! in( X, Y ), element( X, Y ) }.
% 0.50/1.15  { ! element( X, Y ), empty( Y ), in( X, Y ) }.
% 0.50/1.15  { ! empty_carrier( skol19 ) }.
% 0.50/1.15  { lattice( skol19 ) }.
% 0.50/1.15  { latt_str( skol19 ) }.
% 0.50/1.15  { element( skol20, the_carrier( skol19 ) ) }.
% 0.50/1.15  { alpha9( skol19, skol20, skol21 ), relstr_set_smaller( poset_of_lattice( 
% 0.50/1.15    skol19 ), skol21, cast_to_el_of_LattPOSet( skol19, skol20 ) ) }.
% 0.50/1.15  { alpha9( skol19, skol20, skol21 ), ! latt_element_smaller( skol19, skol20
% 0.50/1.15    , skol21 ) }.
% 0.50/1.15  { ! alpha9( X, Y, Z ), latt_element_smaller( X, Y, Z ) }.
% 0.50/1.15  { ! alpha9( X, Y, Z ), ! relstr_set_smaller( poset_of_lattice( X ), Z, 
% 0.50/1.15    cast_to_el_of_LattPOSet( X, Y ) ) }.
% 0.50/1.15  { ! latt_element_smaller( X, Y, Z ), relstr_set_smaller( poset_of_lattice( 
% 0.50/1.15    X ), Z, cast_to_el_of_LattPOSet( X, Y ) ), alpha9( X, Y, Z ) }.
% 0.50/1.15  { ! element( X, powerset( Y ) ), subset( X, Y ) }.
% 0.50/1.15  { ! subset( X, Y ), element( X, powerset( Y ) ) }.
% 0.50/1.15  { ! in( X, Z ), ! element( Z, powerset( Y ) ), element( X, Y ) }.
% 0.50/1.15  { ! in( X, Y ), ! element( Y, powerset( Z ) ), ! empty( Z ) }.
% 0.50/1.15  { ! empty( X ), X = empty_set }.
% 0.50/1.15  { ! in( X, Y ), ! empty( Y ) }.
% 0.50/1.15  { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y, 
% 0.50/1.15    the_carrier( X ) ), ! element( Z, the_carrier( X ) ), ! below_refl( X, Y
% 0.50/1.15    , Z ), related_reflexive( poset_of_lattice( X ), cast_to_el_of_LattPOSet
% 0.50/1.15    ( X, Y ), cast_to_el_of_LattPOSet( X, Z ) ) }.
% 0.50/1.15  { empty_carrier( X ), ! lattice( X ), ! latt_str( X ), ! element( Y, 
% 0.50/1.15    the_carrier( X ) ), ! element( Z, the_carrier( X ) ), ! related_reflexive
% 0.50/1.15    ( poset_of_lattice( X ), cast_to_el_of_LattPOSet( X, Y ), 
% 0.50/1.15    cast_to_el_of_LattPOSet( X, Z ) ), below_refl( X, Y, Z ) }.
% 3.06/3.45  { ! empty( X ), X = Y, ! empty( Y ) }.
% 3.06/3.45  
% 3.06/3.45  percentage equality = 0.025943, percentage horn = 0.750000
% 3.06/3.45  This is a problem with some equality
% 3.06/3.45  
% 3.06/3.45  
% 3.06/3.45  
% 3.06/3.45  Options Used:
% 3.06/3.45  
% 3.06/3.45  useres =            1
% 3.06/3.45  useparamod =        1
% 3.06/3.45  useeqrefl =         1
% 3.06/3.45  useeqfact =         1
% 3.06/3.45  usefactor =         1
% 3.06/3.45  usesimpsplitting =  0
% 3.06/3.45  usesimpdemod =      5
% 3.06/3.45  usesimpres =        3
% 3.06/3.45  
% 3.06/3.45  resimpinuse      =  1000
% 3.06/3.45  resimpclauses =     20000
% 3.06/3.45  substype =          eqrewr
% 3.06/3.45  backwardsubs =      1
% 3.06/3.45  selectoldest =      5
% 3.06/3.45  
% 3.06/3.45  litorderings [0] =  split
% 3.06/3.45  litorderings [1] =  extend the termordering, first sorting on arguments
% 3.06/3.45  
% 3.06/3.45  termordering =      kbo
% 3.06/3.45  
% 3.06/3.45  litapriori =        0
% 3.06/3.45  termapriori =       1
% 3.06/3.45  litaposteriori =    0
% 3.06/3.45  termaposteriori =   0
% 3.06/3.45  demodaposteriori =  0
% 3.06/3.45  ordereqreflfact =   0
% 3.06/3.45  
% 3.06/3.45  litselect =         negord
% 3.06/3.45  
% 3.06/3.45  maxweight =         15
% 3.06/3.45  maxdepth =          30000
% 3.06/3.45  maxlength =         115
% 3.06/3.45  maxnrvars =         195
% 3.06/3.45  excuselevel =       1
% 3.06/3.45  increasemaxweight = 1
% 3.06/3.45  
% 3.06/3.45  maxselected =       10000000
% 3.06/3.45  maxnrclauses =      10000000
% 3.06/3.45  
% 3.06/3.45  showgenerated =    0
% 3.06/3.45  showkept =         0
% 3.06/3.45  showselected =     0
% 3.06/3.45  showdeleted =      0
% 3.06/3.45  showresimp =       1
% 3.06/3.45  showstatus =       2000
% 3.06/3.45  
% 3.06/3.45  prologoutput =     0
% 3.06/3.45  nrgoals =          5000000
% 3.06/3.45  totalproof =       1
% 3.06/3.45  
% 3.06/3.45  Symbols occurring in the translation:
% 3.06/3.45  
% 3.06/3.45  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 3.06/3.45  .  [1, 2]      (w:1, o:73, a:1, s:1, b:0), 
% 3.06/3.45  &&  [3, 0]      (w:1, o:4, a:1, s:1, b:0), 
% 3.06/3.45  !  [4, 1]      (w:0, o:24, a:1, s:1, b:0), 
% 3.06/3.45  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 3.06/3.45  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 3.06/3.45  rel_str  [36, 1]      (w:1, o:29, a:1, s:1, b:0), 
% 3.06/3.45  strict_rel_str  [37, 1]      (w:1, o:34, a:1, s:1, b:0), 
% 3.06/3.45  the_carrier  [38, 1]      (w:1, o:39, a:1, s:1, b:0), 
% 3.06/3.45  the_InternalRel  [39, 1]      (w:1, o:40, a:1, s:1, b:0), 
% 3.06/3.45  rel_str_of  [40, 2]      (w:1, o:97, a:1, s:1, b:0), 
% 3.06/3.45  in  [42, 2]      (w:1, o:98, a:1, s:1, b:0), 
% 3.06/3.45  latt_str  [43, 1]      (w:1, o:43, a:1, s:1, b:0), 
% 3.06/3.45  empty_carrier  [44, 1]      (w:1, o:44, a:1, s:1, b:0), 
% 3.06/3.45  lattice  [45, 1]      (w:1, o:45, a:1, s:1, b:0), 
% 3.06/3.45  join_commutative  [46, 1]      (w:1, o:46, a:1, s:1, b:0), 
% 3.06/3.45  join_associative  [47, 1]      (w:1, o:47, a:1, s:1, b:0), 
% 3.06/3.46  meet_commutative  [48, 1]      (w:1, o:48, a:1, s:1, b:0), 
% 3.06/3.46  meet_associative  [49, 1]      (w:1, o:49, a:1, s:1, b:0), 
% 3.06/3.46  meet_absorbing  [50, 1]      (w:1, o:50, a:1, s:1, b:0), 
% 3.06/3.46  join_absorbing  [51, 1]      (w:1, o:51, a:1, s:1, b:0), 
% 3.06/3.46  cartesian_product2  [53, 2]      (w:1, o:99, a:1, s:1, b:0), 
% 3.06/3.46  powerset  [54, 1]      (w:1, o:53, a:1, s:1, b:0), 
% 3.06/3.46  element  [55, 2]      (w:1, o:100, a:1, s:1, b:0), 
% 3.06/3.46  relation  [56, 1]      (w:1, o:30, a:1, s:1, b:0), 
% 3.06/3.46  latt_element_smaller  [57, 3]      (w:1, o:107, a:1, s:1, b:0), 
% 3.06/3.46  below  [59, 3]      (w:1, o:109, a:1, s:1, b:0), 
% 3.06/3.46  poset_of_lattice  [60, 1]      (w:1, o:54, a:1, s:1, b:0), 
% 3.06/3.46  k2_lattice3  [61, 1]      (w:1, o:42, a:1, s:1, b:0), 
% 3.06/3.46  cast_to_el_of_LattPOSet  [62, 2]      (w:1, o:101, a:1, s:1, b:0), 
% 3.06/3.46  cast_to_el_of_lattice  [63, 2]      (w:1, o:102, a:1, s:1, b:0), 
% 3.06/3.46  relstr_set_smaller  [64, 3]      (w:1, o:110, a:1, s:1, b:0), 
% 3.06/3.46  related  [65, 3]      (w:1, o:111, a:1, s:1, b:0), 
% 3.06/3.46  relation_of2  [66, 3]      (w:1, o:112, a:1, s:1, b:0), 
% 3.06/3.46  reflexive  [67, 1]      (w:1, o:31, a:1, s:1, b:0), 
% 3.06/3.46  antisymmetric  [68, 1]      (w:1, o:55, a:1, s:1, b:0), 
% 3.06/3.46  transitive  [69, 1]      (w:1, o:56, a:1, s:1, b:0), 
% 3.06/3.46  v1_partfun1  [70, 3]      (w:1, o:113, a:1, s:1, b:0), 
% 3.06/3.46  relation_of2_as_subset  [71, 3]      (w:1, o:114, a:1, s:1, b:0), 
% 3.06/3.46  reflexive_relstr  [72, 1]      (w:1, o:32, a:1, s:1, b:0), 
% 3.06/3.46  transitive_relstr  [73, 1]      (w:1, o:57, a:1, s:1, b:0), 
% 3.06/3.46  antisymmetric_relstr  [74, 1]      (w:1, o:58, a:1, s:1, b:0), 
% 3.06/3.46  relation_of_lattice  [75, 1]      (w:1, o:33, a:1, s:1, b:0), 
% 3.06/3.46  meet_semilatt_str  [76, 1]      (w:1, o:59, a:1, s:1, b:0), 
% 3.06/3.46  one_sorted_str  [77, 1]      (w:1, o:52, a:1, s:1, b:0), 
% 3.06/3.46  join_semilatt_str  [78, 1]      (w:1, o:41, a:1, s:1, b:0), 
% 3.06/3.46  empty  [79, 1]      (w:1, o:60, a:1, s:1, b:0), 
% 3.06/3.46  empty_set  [80, 0]      (w:1, o:10, a:1, s:1, b:0), 
% 3.06/3.46  below_refl  [81, 3]      (w:1, o:115, a:1, s:1, b:0), 
% 3.06/3.46  related_reflexive  [82, 3]      (w:1, o:116, a:1, s:1, b:0), 
% 3.06/3.46  subset  [83, 2]      (w:1, o:103, a:1, s:1, b:0), 
% 3.06/3.46  alpha1  [84, 4]      (w:1, o:119, a:1, s:1, b:1), 
% 3.73/4.11  alpha2  [85, 4]      (w:1, o:120, a:1, s:1, b:1), 
% 3.73/4.11  alpha3  [86, 1]      (w:1, o:61, a:1, s:1, b:1), 
% 3.73/4.11  alpha4  [87, 1]      (w:1, o:62, a:1, s:1, b:1), 
% 3.73/4.11  alpha5  [88, 1]      (w:1, o:63, a:1, s:1, b:1), 
% 3.73/4.11  alpha6  [89, 1]      (w:1, o:64, a:1, s:1, b:1), 
% 3.73/4.11  alpha7  [90, 2]      (w:1, o:104, a:1, s:1, b:1), 
% 3.73/4.11  alpha8  [91, 1]      (w:1, o:65, a:1, s:1, b:1), 
% 3.73/4.11  alpha9  [92, 3]      (w:1, o:108, a:1, s:1, b:1), 
% 3.73/4.11  alpha10  [93, 1]      (w:1, o:66, a:1, s:1, b:1), 
% 3.73/4.11  alpha11  [94, 1]      (w:1, o:67, a:1, s:1, b:1), 
% 3.73/4.11  alpha12  [95, 1]      (w:1, o:68, a:1, s:1, b:1), 
% 3.73/4.11  alpha13  [96, 1]      (w:1, o:69, a:1, s:1, b:1), 
% 3.73/4.11  alpha14  [97, 1]      (w:1, o:70, a:1, s:1, b:1), 
% 3.73/4.11  alpha15  [98, 1]      (w:1, o:71, a:1, s:1, b:1), 
% 3.73/4.11  alpha16  [99, 1]      (w:1, o:72, a:1, s:1, b:1), 
% 3.73/4.11  skol1  [100, 3]      (w:1, o:117, a:1, s:1, b:1), 
% 3.73/4.11  skol2  [101, 3]      (w:1, o:118, a:1, s:1, b:1), 
% 3.73/4.11  skol3  [102, 0]      (w:1, o:13, a:1, s:1, b:1), 
% 3.73/4.11  skol4  [103, 0]      (w:1, o:14, a:1, s:1, b:1), 
% 3.73/4.11  skol5  [104, 0]      (w:1, o:15, a:1, s:1, b:1), 
% 3.73/4.11  skol6  [105, 0]      (w:1, o:16, a:1, s:1, b:1), 
% 3.73/4.11  skol7  [106, 0]      (w:1, o:17, a:1, s:1, b:1), 
% 3.73/4.11  skol8  [107, 2]      (w:1, o:105, a:1, s:1, b:1), 
% 3.73/4.11  skol9  [108, 1]      (w:1, o:35, a:1, s:1, b:1), 
% 3.73/4.11  skol10  [109, 2]      (w:1, o:106, a:1, s:1, b:1), 
% 3.73/4.11  skol11  [110, 0]      (w:1, o:18, a:1, s:1, b:1), 
% 3.73/4.11  skol12  [111, 1]      (w:1, o:36, a:1, s:1, b:1), 
% 3.73/4.11  skol13  [112, 0]      (w:1, o:19, a:1, s:1, b:1), 
% 3.73/4.11  skol14  [113, 0]      (w:1, o:20, a:1, s:1, b:1), 
% 3.73/4.11  skol15  [114, 1]      (w:1, o:37, a:1, s:1, b:1), 
% 3.73/4.11  skol16  [115, 0]      (w:1, o:21, a:1, s:1, b:1), 
% 3.73/4.11  skol17  [116, 0]      (w:1, o:22, a:1, s:1, b:1), 
% 3.73/4.11  skol18  [117, 1]      (w:1, o:38, a:1, s:1, b:1), 
% 3.73/4.11  skol19  [118, 0]      (w:1, o:23, a:1, s:1, b:1), 
% 3.73/4.11  skol20  [119, 0]      (w:1, o:11, a:1, s:1, b:1), 
% 3.73/4.11  skol21  [120, 0]      (w:1, o:12, a:1, s:1, b:1).
% 3.73/4.11  
% 3.73/4.11  
% 3.73/4.11  Starting Search:
% 3.73/4.11  
% 3.73/4.11  *** allocated 15000 integers for clauses
% 3.73/4.11  *** allocated 22500 integers for clauses
% 3.73/4.11  *** allocated 33750 integers for clauses
% 3.73/4.11  *** allocated 15000 integers for termspace/termends
% 3.73/4.11  *** allocated 50625 integers for clauses
% 3.73/4.11  *** allocated 22500 integers for termspace/termends
% 3.73/4.11  Resimplifying inuse:
% 3.73/4.11  Done
% 3.73/4.11  
% 3.73/4.11  *** allocated 75937 integers for clauses
% 3.73/4.11  *** allocated 33750 integers for termspace/termends
% 3.73/4.11  *** allocated 113905 integers for clauses
% 3.73/4.11  
% 3.73/4.11  Intermediate Status:
% 3.73/4.11  Generated:    4137
% 3.73/4.11  Kept:         2031
% 3.73/4.11  Inuse:        325
% 3.73/4.11  Deleted:      41
% 3.73/4.11  Deletedinuse: 5
% 3.73/4.11  
% 3.73/4.11  Resimplifying inuse:
% 3.73/4.11  Done
% 3.73/4.11  
% 3.73/4.11  *** allocated 50625 integers for termspace/termends
% 3.73/4.11  *** allocated 170857 integers for clauses
% 3.73/4.11  Resimplifying inuse:
% 3.73/4.11  Done
% 3.73/4.11  
% 3.73/4.11  *** allocated 75937 integers for termspace/termends
% 3.73/4.11  *** allocated 256285 integers for clauses
% 3.73/4.11  
% 3.73/4.11  Intermediate Status:
% 3.73/4.11  Generated:    10545
% 3.73/4.11  Kept:         4197
% 3.73/4.11  Inuse:        449
% 3.73/4.11  Deleted:      50
% 3.73/4.11  Deletedinuse: 8
% 3.73/4.11  
% 3.73/4.11  Resimplifying inuse:
% 3.73/4.11  Done
% 3.73/4.11  
% 3.73/4.11  Resimplifying inuse:
% 3.73/4.11  Done
% 3.73/4.11  
% 3.73/4.11  *** allocated 113905 integers for termspace/termends
% 3.73/4.11  *** allocated 384427 integers for clauses
% 3.73/4.11  
% 3.73/4.11  Intermediate Status:
% 3.73/4.11  Generated:    19445
% 3.73/4.11  Kept:         6403
% 3.73/4.11  Inuse:        672
% 3.73/4.11  Deleted:      81
% 3.73/4.11  Deletedinuse: 16
% 3.73/4.11  
% 3.73/4.11  Resimplifying inuse:
% 3.73/4.11  Done
% 3.73/4.11  
% 3.73/4.11  Resimplifying inuse:
% 3.73/4.11  Done
% 3.73/4.11  
% 3.73/4.11  
% 3.73/4.11  Intermediate Status:
% 3.73/4.11  Generated:    24084
% 3.73/4.11  Kept:         8433
% 3.73/4.11  Inuse:        731
% 3.73/4.11  Deleted:      91
% 3.73/4.11  Deletedinuse: 25
% 3.73/4.11  
% 3.73/4.11  Resimplifying inuse:
% 3.73/4.11  Done
% 3.73/4.11  
% 3.73/4.11  *** allocated 576640 integers for clauses
% 3.73/4.11  *** allocated 170857 integers for termspace/termends
% 3.73/4.11  Resimplifying inuse:
% 3.73/4.11  Done
% 3.73/4.11  
% 3.73/4.11  
% 3.73/4.11  Intermediate Status:
% 3.73/4.11  Generated:    34121
% 3.73/4.11  Kept:         10436
% 3.73/4.11  Inuse:        918
% 3.73/4.11  Deleted:      100
% 3.73/4.11  Deletedinuse: 25
% 3.73/4.11  
% 3.73/4.11  Resimplifying inuse:
% 3.73/4.11  Done
% 3.73/4.11  
% 3.73/4.11  Resimplifying inuse:
% 3.73/4.11  Done
% 3.73/4.11  
% 3.73/4.11  
% 3.73/4.11  Intermediate Status:
% 3.73/4.11  Generated:    51162
% 3.73/4.11  Kept:         12458
% 3.73/4.11  Inuse:        1204
% 3.73/4.11  Deleted:      112
% 3.73/4.11  Deletedinuse: 26
% 3.73/4.11  
% 3.73/4.11  Resimplifying inuse:
% 3.73/4.11  Done
% 3.73/4.11  
% 3.73/4.11  *** allocated 864960 integers for clauses
% 3.73/4.11  Resimplifying inuse:
% 3.73/4.11  Done
% 3.73/4.11  
% 3.73/4.11  *** allocated 256285 integers for termspace/termends
% 3.73/4.11  
% 3.73/4.11  Intermediate Status:
% 3.73/4.11  Generated:    60062
% 3.73/4.11  Kept:         14466
% 3.73/4.11  Inuse:        1348
% 3.73/4.11  Deleted:      118
% 3.73/4.11  Deletedinuse: 27
% 3.73/4.11  
% 3.73/4.11  Resimplifying inuse:
% 3.73/4.11  Done
% 3.73/4.11  
% 3.73/4.11  Resimplifying inuse:
% 3.73/4.11  Done
% 3.73/4.11  
% 3.73/4.11  
% 3.73/4.11  Intermediate Status:
% 3.73/4.11  Generated:    69433
% 3.73/4.11  Kept:         16554
% 3.73/4.11  Inuse:        1497
% 3.73/4.11  Deleted:      155
% 3.73/4.11  Deletedinuse: 28
% 3.73/4.11  
% 3.73/4.11  Resimplifying inuse:
% 3.73/4.11  Done
% 3.73/4.11  
% 3.73/4.11  ResSegmentation fault (core dumped) 
% 3.73/4.11  Bliksem ended
%------------------------------------------------------------------------------