TSTP Solution File: SEU268+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SEU268+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n023.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 : 300s
% DateTime : Tue Aug 22 10:58:14 EDT 2023
% Result : Theorem 162.55s 137.85s
% Output : CNFRefutation 162.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 244
% Syntax : Number of formulae : 259 ( 9 unt; 239 typ; 0 def)
% Number of atoms : 48 ( 4 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 46 ( 18 ~; 19 |; 2 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 476 ( 225 >; 251 *; 0 +; 0 <<)
% Number of predicates : 33 ( 31 usr; 1 prp; 0-3 aty)
% Number of functors : 208 ( 208 usr; 14 con; 0-5 aty)
% Number of variables : 27 (; 27 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ relation_of2_as_subset > relation_of2 > relation_isomorphism > well_orders > subset > proper_subset > ordinal_subset > is_well_founded_in > is_transitive_in > is_reflexive_in > is_connected_in > is_antisymmetric_in > in > element > disjoint > are_equipotent > well_ordering > well_founded_relation > transitive > relation_empty_yielding > relation > reflexive > ordinal > one_to_one > function > epsilon_transitive > epsilon_connected > empty > connected > being_limit_ordinal > antisymmetric > unordered_triple > subset_difference > relation_rng_as_subset > relation_dom_as_subset > unordered_pair > union_of_subsets > subset_complement > set_union2 > set_intersection2 > set_difference > relation_rng_restriction > relation_restriction > relation_inverse_image > relation_image > relation_dom_restriction > relation_composition > ordered_pair > meet_of_subsets > fiber > complements_of_subsets > cartesian_product2 > apply > #nlpp > union > succ > singleton > set_meet > relation_rng > relation_inverse > relation_field > relation_dom > powerset > pair_second > pair_first > inclusion_relation > identity_relation > function_inverse > cast_to_subset > empty_set > #skF_150 > #skF_62 > #skF_13 > #skF_76 > #skF_159 > #skF_47 > #skF_168 > #skF_24 > #skF_37 > #skF_64 > #skF_133 > #skF_110 > #skF_80 > #skF_17 > #skF_65 > #skF_57 > #skF_129 > #skF_123 > #skF_114 > #skF_97 > #skF_63 > #skF_113 > #skF_66 > #skF_111 > #skF_106 > #skF_27 > #skF_93 > #skF_6 > #skF_152 > #skF_30 > #skF_44 > #skF_155 > #skF_103 > #skF_108 > #skF_153 > #skF_53 > #skF_31 > #skF_18 > #skF_88 > #skF_56 > #skF_48 > #skF_149 > #skF_139 > #skF_32 > #skF_127 > #skF_72 > #skF_131 > #skF_70 > #skF_165 > #skF_82 > #skF_115 > #skF_136 > #skF_92 > #skF_122 > #skF_38 > #skF_79 > #skF_12 > #skF_160 > #skF_3 > #skF_90 > #skF_138 > #skF_124 > #skF_69 > #skF_147 > #skF_68 > #skF_132 > #skF_34 > #skF_117 > #skF_151 > #skF_102 > #skF_58 > #skF_74 > #skF_101 > #skF_78 > #skF_109 > #skF_23 > #skF_26 > #skF_142 > #skF_140 > #skF_156 > #skF_35 > #skF_141 > #skF_126 > #skF_33 > #skF_5 > #skF_49 > #skF_19 > #skF_167 > #skF_144 > #skF_84 > #skF_54 > #skF_128 > #skF_99 > #skF_107 > #skF_112 > #skF_51 > #skF_94 > #skF_11 > #skF_162 > #skF_36 > #skF_166 > #skF_71 > #skF_7 > #skF_118 > #skF_170 > #skF_60 > #skF_100 > #skF_9 > #skF_20 > #skF_164 > #skF_146 > #skF_145 > #skF_15 > #skF_83 > #skF_14 > #skF_28 > #skF_67 > #skF_95 > #skF_158 > #skF_46 > #skF_81 > #skF_121 > #skF_104 > #skF_52 > #skF_55 > #skF_61 > #skF_154 > #skF_59 > #skF_169 > #skF_157 > #skF_87 > #skF_2 > #skF_77 > #skF_163 > #skF_161 > #skF_105 > #skF_40 > #skF_137 > #skF_135 > #skF_143 > #skF_116 > #skF_8 > #skF_75 > #skF_91 > #skF_25 > #skF_89 > #skF_41 > #skF_43 > #skF_29 > #skF_85 > #skF_86 > #skF_130 > #skF_120 > #skF_21 > #skF_50 > #skF_96 > #skF_1 > #skF_148 > #skF_119 > #skF_45 > #skF_98 > #skF_134 > #skF_22 > #skF_73 > #skF_4 > #skF_125 > #skF_42 > #skF_16 > #skF_10 > #skF_39
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_150',type,
'#skF_150': ( $i * $i * $i * $i ) > $i ).
tff('#skF_62',type,
'#skF_62': ( $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i ) > $i ).
tff(well_ordering,type,
well_ordering: $i > $o ).
tff(epsilon_connected,type,
epsilon_connected: $i > $o ).
tff(are_equipotent,type,
are_equipotent: ( $i * $i ) > $o ).
tff('#skF_76',type,
'#skF_76': ( $i * $i ) > $i ).
tff(subset_difference,type,
subset_difference: ( $i * $i * $i ) > $i ).
tff('#skF_159',type,
'#skF_159': $i > $i ).
tff(antisymmetric,type,
antisymmetric: $i > $o ).
tff('#skF_47',type,
'#skF_47': ( $i * $i ) > $i ).
tff('#skF_168',type,
'#skF_168': ( $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i ) > $i ).
tff(complements_of_subsets,type,
complements_of_subsets: ( $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i ) > $i ).
tff(relation_field,type,
relation_field: $i > $i ).
tff('#skF_64',type,
'#skF_64': ( $i * $i * $i ) > $i ).
tff(relation,type,
relation: $i > $o ).
tff(cast_to_subset,type,
cast_to_subset: $i > $i ).
tff(union,type,
union: $i > $i ).
tff('#skF_133',type,
'#skF_133': $i > $i ).
tff('#skF_110',type,
'#skF_110': ( $i * $i * $i ) > $i ).
tff(set_difference,type,
set_difference: ( $i * $i ) > $i ).
tff('#skF_80',type,
'#skF_80': ( $i * $i ) > $i ).
tff(unordered_triple,type,
unordered_triple: ( $i * $i * $i ) > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i ) > $i ).
tff('#skF_65',type,
'#skF_65': ( $i * $i * $i * $i ) > $i ).
tff('#skF_57',type,
'#skF_57': ( $i * $i ) > $i ).
tff('#skF_129',type,
'#skF_129': ( $i * $i ) > $i ).
tff(connected,type,
connected: $i > $o ).
tff('#skF_123',type,
'#skF_123': $i > $i ).
tff(relation_inverse,type,
relation_inverse: $i > $i ).
tff('#skF_114',type,
'#skF_114': ( $i * $i ) > $i ).
tff(singleton,type,
singleton: $i > $i ).
tff('#skF_97',type,
'#skF_97': ( $i * $i ) > $i ).
tff('#skF_63',type,
'#skF_63': ( $i * $i * $i ) > $i ).
tff('#skF_113',type,
'#skF_113': ( $i * $i * $i ) > $i ).
tff('#skF_66',type,
'#skF_66': ( $i * $i * $i * $i ) > $i ).
tff('#skF_111',type,
'#skF_111': ( $i * $i * $i ) > $i ).
tff('#skF_106',type,
'#skF_106': $i > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i * $i ) > $i ).
tff('#skF_93',type,
'#skF_93': ( $i * $i ) > $i ).
tff(is_reflexive_in,type,
is_reflexive_in: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff('#skF_152',type,
'#skF_152': ( $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i ) > $i ).
tff(apply,type,
apply: ( $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i ) > $i ).
tff('#skF_155',type,
'#skF_155': ( $i * $i ) > $i ).
tff('#skF_103',type,
'#skF_103': ( $i * $i * $i ) > $i ).
tff(unordered_pair,type,
unordered_pair: ( $i * $i ) > $i ).
tff('#skF_108',type,
'#skF_108': ( $i * $i * $i * $i * $i ) > $i ).
tff('#skF_153',type,
'#skF_153': $i ).
tff('#skF_53',type,
'#skF_53': ( $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': $i > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i ) > $i ).
tff('#skF_88',type,
'#skF_88': ( $i * $i ) > $i ).
tff(epsilon_transitive,type,
epsilon_transitive: $i > $o ).
tff(meet_of_subsets,type,
meet_of_subsets: ( $i * $i ) > $i ).
tff('#skF_56',type,
'#skF_56': ( $i * $i * $i ) > $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i ) > $i ).
tff('#skF_149',type,
'#skF_149': ( $i * $i * $i ) > $i ).
tff(element,type,
element: ( $i * $i ) > $o ).
tff('#skF_139',type,
'#skF_139': $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i ) > $i ).
tff(ordered_pair,type,
ordered_pair: ( $i * $i ) > $i ).
tff('#skF_127',type,
'#skF_127': $i > $i ).
tff(one_to_one,type,
one_to_one: $i > $o ).
tff('#skF_72',type,
'#skF_72': ( $i * $i ) > $i ).
tff(pair_second,type,
pair_second: $i > $i ).
tff(relation_rng_restriction,type,
relation_rng_restriction: ( $i * $i ) > $i ).
tff('#skF_131',type,
'#skF_131': $i ).
tff('#skF_70',type,
'#skF_70': ( $i * $i ) > $i ).
tff(inclusion_relation,type,
inclusion_relation: $i > $i ).
tff('#skF_165',type,
'#skF_165': $i > $i ).
tff('#skF_82',type,
'#skF_82': ( $i * $i ) > $i ).
tff('#skF_115',type,
'#skF_115': ( $i * $i ) > $i ).
tff(relation_inverse_image,type,
relation_inverse_image: ( $i * $i ) > $i ).
tff(function,type,
function: $i > $o ).
tff('#skF_136',type,
'#skF_136': $i ).
tff('#skF_92',type,
'#skF_92': ( $i * $i ) > $i ).
tff('#skF_122',type,
'#skF_122': $i > $i ).
tff('#skF_38',type,
'#skF_38': ( $i * $i ) > $i ).
tff('#skF_79',type,
'#skF_79': ( $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i * $i ) > $i ).
tff('#skF_160',type,
'#skF_160': ( $i * $i ) > $i ).
tff(relation_empty_yielding,type,
relation_empty_yielding: $i > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_90',type,
'#skF_90': ( $i * $i ) > $i ).
tff('#skF_138',type,
'#skF_138': $i > $i ).
tff('#skF_124',type,
'#skF_124': $i > $i ).
tff('#skF_69',type,
'#skF_69': ( $i * $i ) > $i ).
tff('#skF_147',type,
'#skF_147': ( $i * $i * $i ) > $i ).
tff('#skF_68',type,
'#skF_68': $i > $i ).
tff('#skF_132',type,
'#skF_132': $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i ) > $i ).
tff('#skF_117',type,
'#skF_117': ( $i * $i * $i ) > $i ).
tff('#skF_151',type,
'#skF_151': ( $i * $i ) > $i ).
tff('#skF_102',type,
'#skF_102': ( $i * $i * $i ) > $i ).
tff(ordinal,type,
ordinal: $i > $o ).
tff('#skF_58',type,
'#skF_58': $i > $i ).
tff(well_founded_relation,type,
well_founded_relation: $i > $o ).
tff('#skF_74',type,
'#skF_74': ( $i * $i * $i ) > $i ).
tff(proper_subset,type,
proper_subset: ( $i * $i ) > $o ).
tff('#skF_101',type,
'#skF_101': ( $i * $i ) > $i ).
tff(in,type,
in: ( $i * $i ) > $o ).
tff('#skF_78',type,
'#skF_78': ( $i * $i ) > $i ).
tff('#skF_109',type,
'#skF_109': ( $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i * $i ) > $i ).
tff(subset,type,
subset: ( $i * $i ) > $o ).
tff(is_well_founded_in,type,
is_well_founded_in: ( $i * $i ) > $o ).
tff('#skF_142',type,
'#skF_142': $i ).
tff('#skF_140',type,
'#skF_140': $i ).
tff(identity_relation,type,
identity_relation: $i > $i ).
tff('#skF_156',type,
'#skF_156': ( $i * $i ) > $i ).
tff(function_inverse,type,
function_inverse: $i > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i ) > $i ).
tff('#skF_141',type,
'#skF_141': $i ).
tff('#skF_126',type,
'#skF_126': $i > $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': ( $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff(set_intersection2,type,
set_intersection2: ( $i * $i ) > $i ).
tff('#skF_167',type,
'#skF_167': ( $i * $i * $i ) > $i ).
tff('#skF_144',type,
'#skF_144': $i > $i ).
tff('#skF_84',type,
'#skF_84': ( $i * $i ) > $i ).
tff('#skF_54',type,
'#skF_54': ( $i * $i ) > $i ).
tff('#skF_128',type,
'#skF_128': $i > $i ).
tff('#skF_99',type,
'#skF_99': ( $i * $i ) > $i ).
tff(relation_image,type,
relation_image: ( $i * $i ) > $i ).
tff(relation_dom_as_subset,type,
relation_dom_as_subset: ( $i * $i * $i ) > $i ).
tff(relation_composition,type,
relation_composition: ( $i * $i ) > $i ).
tff('#skF_107',type,
'#skF_107': $i > $i ).
tff(empty,type,
empty: $i > $o ).
tff('#skF_112',type,
'#skF_112': ( $i * $i * $i ) > $i ).
tff(disjoint,type,
disjoint: ( $i * $i ) > $o ).
tff('#skF_51',type,
'#skF_51': ( $i * $i ) > $i ).
tff(relation_dom_restriction,type,
relation_dom_restriction: ( $i * $i ) > $i ).
tff('#skF_94',type,
'#skF_94': ( $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $i ).
tff('#skF_162',type,
'#skF_162': ( $i * $i ) > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i ) > $i ).
tff('#skF_166',type,
'#skF_166': $i > $i ).
tff('#skF_71',type,
'#skF_71': ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(well_orders,type,
well_orders: ( $i * $i ) > $o ).
tff(empty_set,type,
empty_set: $i ).
tff(relation_dom,type,
relation_dom: $i > $i ).
tff('#skF_118',type,
'#skF_118': ( $i * $i ) > $i ).
tff('#skF_170',type,
'#skF_170': ( $i * $i ) > $i ).
tff('#skF_60',type,
'#skF_60': ( $i * $i * $i ) > $i ).
tff(relation_of2,type,
relation_of2: ( $i * $i * $i ) > $o ).
tff('#skF_100',type,
'#skF_100': ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i ) > $i ).
tff(set_meet,type,
set_meet: $i > $i ).
tff('#skF_164',type,
'#skF_164': ( $i * $i ) > $i ).
tff('#skF_146',type,
'#skF_146': ( $i * $i * $i ) > $i ).
tff(relation_isomorphism,type,
relation_isomorphism: ( $i * $i * $i ) > $o ).
tff('#skF_145',type,
'#skF_145': ( $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff(being_limit_ordinal,type,
being_limit_ordinal: $i > $o ).
tff(relation_rng_as_subset,type,
relation_rng_as_subset: ( $i * $i * $i ) > $i ).
tff('#skF_83',type,
'#skF_83': ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i * $i * $i ) > $i ).
tff('#skF_67',type,
'#skF_67': $i > $i ).
tff('#skF_95',type,
'#skF_95': ( $i * $i * $i ) > $i ).
tff('#skF_158',type,
'#skF_158': $i > $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i ) > $i ).
tff('#skF_81',type,
'#skF_81': ( $i * $i ) > $i ).
tff('#skF_121',type,
'#skF_121': $i > $i ).
tff('#skF_104',type,
'#skF_104': ( $i * $i * $i ) > $i ).
tff('#skF_52',type,
'#skF_52': ( $i * $i ) > $i ).
tff(relation_restriction,type,
relation_restriction: ( $i * $i ) > $i ).
tff('#skF_55',type,
'#skF_55': ( $i * $i * $i ) > $i ).
tff('#skF_61',type,
'#skF_61': ( $i * $i * $i ) > $i ).
tff('#skF_154',type,
'#skF_154': $i > $i ).
tff('#skF_59',type,
'#skF_59': ( $i * $i * $i ) > $i ).
tff('#skF_169',type,
'#skF_169': $i > $i ).
tff('#skF_157',type,
'#skF_157': ( $i * $i ) > $i ).
tff('#skF_87',type,
'#skF_87': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff('#skF_77',type,
'#skF_77': ( $i * $i ) > $i ).
tff('#skF_163',type,
'#skF_163': ( $i * $i ) > $i ).
tff(transitive,type,
transitive: $i > $o ).
tff(union_of_subsets,type,
union_of_subsets: ( $i * $i ) > $i ).
tff('#skF_161',type,
'#skF_161': ( $i * $i ) > $i ).
tff(is_connected_in,type,
is_connected_in: ( $i * $i ) > $o ).
tff(set_union2,type,
set_union2: ( $i * $i ) > $i ).
tff('#skF_105',type,
'#skF_105': ( $i * $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i ) > $i ).
tff(powerset,type,
powerset: $i > $i ).
tff(reflexive,type,
reflexive: $i > $o ).
tff(subset_complement,type,
subset_complement: ( $i * $i ) > $i ).
tff(relation_rng,type,
relation_rng: $i > $i ).
tff('#skF_137',type,
'#skF_137': $i ).
tff('#skF_135',type,
'#skF_135': $i ).
tff(is_transitive_in,type,
is_transitive_in: ( $i * $i ) > $o ).
tff('#skF_143',type,
'#skF_143': $i ).
tff(ordinal_subset,type,
ordinal_subset: ( $i * $i ) > $o ).
tff('#skF_116',type,
'#skF_116': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff(is_antisymmetric_in,type,
is_antisymmetric_in: ( $i * $i ) > $o ).
tff('#skF_75',type,
'#skF_75': ( $i * $i * $i ) > $i ).
tff('#skF_91',type,
'#skF_91': ( $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i ) > $i ).
tff('#skF_89',type,
'#skF_89': ( $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i ) > $i ).
tff('#skF_85',type,
'#skF_85': ( $i * $i * $i ) > $i ).
tff(cartesian_product2,type,
cartesian_product2: ( $i * $i ) > $i ).
tff('#skF_86',type,
'#skF_86': ( $i * $i * $i ) > $i ).
tff('#skF_130',type,
'#skF_130': $i ).
tff('#skF_120',type,
'#skF_120': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': $i > $i ).
tff('#skF_96',type,
'#skF_96': ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(succ,type,
succ: $i > $i ).
tff('#skF_148',type,
'#skF_148': ( $i * $i * $i * $i ) > $i ).
tff('#skF_119',type,
'#skF_119': $i > $i ).
tff('#skF_45',type,
'#skF_45': $i > $i ).
tff('#skF_98',type,
'#skF_98': ( $i * $i ) > $i ).
tff(relation_of2_as_subset,type,
relation_of2_as_subset: ( $i * $i * $i ) > $o ).
tff('#skF_134',type,
'#skF_134': $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i ) > $i ).
tff('#skF_73',type,
'#skF_73': ( $i * $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_125',type,
'#skF_125': $i > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i * $i ) > $i ).
tff(fiber,type,
fiber: ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(pair_first,type,
pair_first: $i > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i ) > $i ).
tff(f_785,axiom,
! [A] : relation(inclusion_relation(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_wellord2) ).
tff(f_320,axiom,
! [A,B] :
( relation(B)
=> ( ( B = inclusion_relation(A) )
<=> ( ( relation_field(B) = A )
& ! [C,D] :
( ( in(C,A)
& in(D,A) )
=> ( in(ordered_pair(C,D),B)
<=> subset(C,D) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_wellord2) ).
tff(f_1087,lemma,
! [A] :
( relation(A)
=> ( reflexive(A)
<=> ! [B] :
( in(B,relation_field(A))
=> in(ordered_pair(B,B),A) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_wellord1) ).
tff(f_1328,axiom,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
tff(f_1740,negated_conjecture,
~ ! [A] : reflexive(inclusion_relation(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_wellord2) ).
tff(c_762,plain,
! [A_884] : relation(inclusion_relation(A_884)),
inference(cnfTransformation,[status(thm)],[f_785]) ).
tff(c_300,plain,
! [A_306] :
( ( relation_field(inclusion_relation(A_306)) = A_306 )
| ~ relation(inclusion_relation(A_306)) ),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_1649,plain,
! [A_306] : ( relation_field(inclusion_relation(A_306)) = A_306 ),
inference(demodulation,[status(thm),theory(equality)],[c_762,c_300]) ).
tff(c_20399,plain,
! [A_2428] :
( in('#skF_121'(A_2428),relation_field(A_2428))
| reflexive(A_2428)
| ~ relation(A_2428) ),
inference(cnfTransformation,[status(thm)],[f_1087]) ).
tff(c_20416,plain,
! [A_306] :
( in('#skF_121'(inclusion_relation(A_306)),A_306)
| reflexive(inclusion_relation(A_306))
| ~ relation(inclusion_relation(A_306)) ),
inference(superposition,[status(thm),theory(equality)],[c_1649,c_20399]) ).
tff(c_20423,plain,
! [A_306] :
( in('#skF_121'(inclusion_relation(A_306)),A_306)
| reflexive(inclusion_relation(A_306)) ),
inference(demodulation,[status(thm),theory(equality)],[c_762,c_20416]) ).
tff(c_1132,plain,
! [A_1062] : subset(A_1062,A_1062),
inference(cnfTransformation,[status(thm)],[f_1328]) ).
tff(c_302,plain,
! [C_312,D_313,A_306] :
( in(ordered_pair(C_312,D_313),inclusion_relation(A_306))
| ~ subset(C_312,D_313)
| ~ in(D_313,A_306)
| ~ in(C_312,A_306)
| ~ relation(inclusion_relation(A_306)) ),
inference(cnfTransformation,[status(thm)],[f_320]) ).
tff(c_64957,plain,
! [C_3369,D_3370,A_3371] :
( in(ordered_pair(C_3369,D_3370),inclusion_relation(A_3371))
| ~ subset(C_3369,D_3370)
| ~ in(D_3370,A_3371)
| ~ in(C_3369,A_3371) ),
inference(demodulation,[status(thm),theory(equality)],[c_762,c_302]) ).
tff(c_960,plain,
! [A_976] :
( ~ in(ordered_pair('#skF_121'(A_976),'#skF_121'(A_976)),A_976)
| reflexive(A_976)
| ~ relation(A_976) ),
inference(cnfTransformation,[status(thm)],[f_1087]) ).
tff(c_65012,plain,
! [A_3371] :
( reflexive(inclusion_relation(A_3371))
| ~ relation(inclusion_relation(A_3371))
| ~ subset('#skF_121'(inclusion_relation(A_3371)),'#skF_121'(inclusion_relation(A_3371)))
| ~ in('#skF_121'(inclusion_relation(A_3371)),A_3371) ),
inference(resolution,[status(thm)],[c_64957,c_960]) ).
tff(c_375201,plain,
! [A_3435859] :
( reflexive(inclusion_relation(A_3435859))
| ~ in('#skF_121'(inclusion_relation(A_3435859)),A_3435859) ),
inference(demodulation,[status(thm),theory(equality)],[c_1132,c_762,c_65012]) ).
tff(c_375297,plain,
! [A_306] : reflexive(inclusion_relation(A_306)),
inference(resolution,[status(thm)],[c_20423,c_375201]) ).
tff(c_1316,plain,
~ reflexive(inclusion_relation('#skF_153')),
inference(cnfTransformation,[status(thm)],[f_1740]) ).
tff(c_375341,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_375297,c_1316]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU268+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n023.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 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 12:00:37 EDT 2023
% 0.14/0.36 % CPUTime :
% 162.55/137.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 162.55/137.85
% 162.55/137.85 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 162.55/137.89
% 162.55/137.89 Inference rules
% 162.55/137.89 ----------------------
% 162.55/137.89 #Ref : 8
% 162.55/137.89 #Sup : 81706
% 162.55/137.89 #Fact : 26
% 162.55/137.89 #Define : 0
% 162.55/137.89 #Split : 77
% 162.55/137.89 #Chain : 0
% 162.55/137.89 #Close : 0
% 162.55/137.89
% 162.55/137.89 Ordering : KBO
% 162.55/137.89
% 162.55/137.89 Simplification rules
% 162.55/137.89 ----------------------
% 162.55/137.89 #Subsume : 22996
% 162.55/137.89 #Demod : 23025
% 162.55/137.89 #Tautology : 14147
% 162.55/137.89 #SimpNegUnit : 2642
% 162.55/137.89 #BackRed : 691
% 162.55/137.89
% 162.55/137.89 #Partial instantiations: 1674192
% 162.55/137.89 #Strategies tried : 1
% 162.55/137.89
% 162.55/137.89 Timing (in seconds)
% 162.55/137.89 ----------------------
% 162.55/137.89 Preprocessing : 1.38
% 162.55/137.89 Parsing : 0.60
% 162.55/137.89 CNF conversion : 0.15
% 162.55/137.89 Main loop : 135.44
% 162.55/137.89 Inferencing : 24.16
% 162.55/137.89 Reduction : 57.62
% 162.55/137.89 Demodulation : 40.62
% 162.55/137.89 BG Simplification : 0.57
% 162.55/137.89 Subsumption : 44.66
% 162.55/137.89 Abstraction : 0.84
% 162.55/137.89 MUC search : 0.00
% 162.55/137.89 Cooper : 0.00
% 162.55/137.89 Total : 136.87
% 162.55/137.89 Index Insertion : 0.00
% 162.55/137.89 Index Deletion : 0.00
% 162.55/137.89 Index Matching : 0.00
% 162.55/137.89 BG Taut test : 0.00
%------------------------------------------------------------------------------