TSTP Solution File: HEN010-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HEN010-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 : Thu Aug 31 01:54:38 EDT 2023

% Result   : Unsatisfiable 54.73s 54.92s
% Output   : Proof 54.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : HEN010-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Thu Aug 24 13:25:17 EDT 2023
% 0.13/0.33  % CPUTime    : 
% 0.18/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.OKhcKi3Xyq/cvc5---1.0.5_11332.p...
% 0.18/0.49  ------- get file name : TPTP file name is HEN010-3
% 0.18/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11332.smt2...
% 0.18/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.67/10.87  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.74/15.91  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.72/20.95  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.78/25.98  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.73/31.06  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.89/36.09  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.94/41.15  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.98/46.22  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.05/51.29  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 54.73/54.92  % SZS status Unsatisfiable for HEN010-3
% 54.73/54.92  % SZS output start Proof for HEN010-3
% 54.73/54.95  (
% 54.73/54.95  (let ((_let_1 (tptp.divide tptp.identity tptp.a))) (let ((_let_2 (tptp.divide tptp.identity _let_1))) (let ((_let_3 (tptp.divide _let_1 _let_2))) (let ((_let_4 (= _let_1 _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_8 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)))) (let ((_let_9 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))))) (let ((_let_13 (tptp.divide _let_3 _let_1))) (let ((_let_14 (= tptp.zero _let_13))) (let ((_let_15 (tptp.divide tptp.a _let_2))) (let ((_let_16 (tptp.divide tptp.identity _let_2))) (let ((_let_17 (tptp.divide _let_16 _let_15))) (let ((_let_18 (tptp.divide _let_17 _let_3))) (let ((_let_19 (= tptp.zero _let_18))) (let ((_let_20 (tptp.divide tptp.zero tptp.a))) (let ((_let_21 (= tptp.zero _let_20))) (let ((_let_22 (tptp.divide _let_15 tptp.a))) (let ((_let_23 (= tptp.zero _let_22))) (let ((_let_24 (tptp.divide _let_17 _let_16))) (let ((_let_25 (= tptp.zero _let_24))) (let ((_let_26 (tptp.divide tptp.a tptp.identity))) (let ((_let_27 (= tptp.zero _let_26))) (let ((_let_28 (tptp.divide tptp.zero _let_1))) (let ((_let_29 (= tptp.zero _let_28))) (let ((_let_30 (= tptp.zero (tptp.divide _let_13 _let_3)))) (let ((_let_31 (= tptp.zero (tptp.divide _let_3 tptp.identity)))) (let ((_let_32 (tptp.divide _let_15 _let_3))) (let ((_let_33 (tptp.divide _let_16 _let_3))) (let ((_let_34 (tptp.divide _let_33 _let_32))) (let ((_let_35 (= _let_18 _let_34))) (let ((_let_36 (tptp.divide _let_2 _let_1))) (let ((_let_37 (tptp.divide _let_1 _let_1))) (let ((_let_38 (tptp.divide _let_37 _let_36))) (let ((_let_39 (= _let_13 _let_38))) (let ((_let_40 (= _let_37 _let_38))) (let ((_let_41 (= tptp.zero (tptp.divide tptp.zero _let_16)))) (let ((_let_42 (tptp.divide _let_1 _let_3))) (let ((_let_43 (tptp.divide _let_42 _let_1))) (let ((_let_44 (= tptp.zero _let_43))) (let ((_let_45 (= tptp.zero (tptp.divide _let_15 tptp.identity)))) (let ((_let_46 (tptp.divide _let_3 _let_32))) (let ((_let_47 (tptp.divide _let_16 _let_32))) (let ((_let_48 (tptp.divide _let_47 _let_46))) (let ((_let_49 (= _let_34 _let_48))) (let ((_let_50 (tptp.divide _let_15 _let_16))) (let ((_let_51 (tptp.divide _let_16 _let_16))) (let ((_let_52 (tptp.divide _let_51 _let_50))) (let ((_let_53 (= _let_24 _let_52))) (let ((_let_54 (tptp.divide _let_2 tptp.a))) (let ((_let_55 (tptp.divide tptp.a tptp.a))) (let ((_let_56 (tptp.divide _let_55 _let_54))) (let ((_let_57 (= _let_22 _let_56))) (let ((_let_58 (tptp.divide tptp.identity tptp.zero))) (let ((_let_59 (= tptp.identity _let_58))) (let ((_let_60 (= _let_51 _let_52))) (let ((_let_61 (= _let_51 _let_50))) (let ((_let_62 (tptp.divide _let_58 tptp.a))) (let ((_let_63 (tptp.divide _let_1 _let_20))) (let ((_let_64 (= tptp.zero (tptp.divide _let_63 _let_62)))) (let ((_let_65 (= tptp.zero (tptp.divide _let_48 _let_47)))) (let ((_let_66 (tptp.divide tptp.a _let_1))) (let ((_let_67 (= tptp.zero (tptp.divide _let_66 tptp.a)))) (let ((_let_68 (tptp.divide _let_26 _let_1))) (let ((_let_69 (tptp.divide _let_66 _let_2))) (let ((_let_70 (= _let_69 _let_68))) (let ((_let_71 (= _let_32 _let_69))) (let ((_let_72 (= _let_2 _let_66))) (let ((_let_73 (= _let_55 _let_56))) (let ((_let_74 (tptp.divide _let_1 tptp.a))) (let ((_let_75 (= _let_1 _let_74))) (let ((_let_76 (tptp.divide _let_3 tptp.a))) (let ((_let_77 (tptp.divide _let_74 _let_54))) (let ((_let_78 (= tptp.zero (tptp.divide _let_77 _let_76)))) (let ((_let_79 (tptp.divide _let_76 _let_3))) (let ((_let_80 (= tptp.zero _let_79))) (let ((_let_81 (tptp.less_equal _let_42 _let_43))) (let ((_let_82 (tptp.divide tptp.a tptp.zero))) (let ((_let_83 (= tptp.a _let_82))) (let ((_let_84 (tptp.divide _let_58 _let_82))) (let ((_let_85 (tptp.divide _let_1 tptp.zero))) (let ((_let_86 (= _let_85 _let_84))) (let ((_let_87 (tptp.divide _let_1 _let_37))) (let ((_let_88 (tptp.divide tptp.identity _let_37))) (let ((_let_89 (tptp.divide _let_88 _let_87))) (let ((_let_90 (tptp.divide _let_2 _let_37))) (let ((_let_91 (= _let_90 _let_89))) (let ((_let_92 (tptp.divide (tptp.divide tptp.identity _let_85) _let_1))) (let ((_let_93 (tptp.divide _let_2 (tptp.divide _let_85 _let_1)))) (let ((_let_94 (= _let_93 _let_92))) (let ((_let_95 (tptp.divide _let_2 _let_32))) (let ((_let_96 (tptp.divide (tptp.divide _let_1 _let_32) _let_95))) (let ((_let_97 (= _let_46 _let_96))) (let ((_let_98 (tptp.divide (tptp.divide tptp.identity _let_32) _let_95))) (let ((_let_99 (= _let_47 _let_98))) (let ((_let_100 (= _let_47 _let_46))) (let ((_let_101 (tptp.less_equal (tptp.divide _let_42 _let_79) (tptp.divide (tptp.divide _let_1 _let_76) _let_3)))) (let ((_let_102 (tptp.divide _let_42 (tptp.divide tptp.zero _let_3)))) (let ((_let_103 (tptp.divide _let_85 _let_3))) (let ((_let_104 (= _let_103 _let_102))) (let ((_let_105 (tptp.less_equal _let_3 _let_1))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_14))) (let ((_let_108 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (_let_108))) (let ((_let_111 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_112 (_let_10))) (let ((_let_113 (ASSUME :args _let_112))) (let ((_let_114 ((tptp.divide X Y)))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_112)) _let_113 :args (_let_105 false _let_10)))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_106 _let_14 (not _let_107)))) _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_3 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_107 false _let_108)) :args (_let_14 false _let_105 false _let_107)))) (let ((_let_117 (tptp.less_equal _let_17 _let_3))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_19))) (let ((_let_120 (_let_9))) (let ((_let_121 (ASSUME :args _let_120))) (let ((_let_122 ((tptp.divide (tptp.divide X Y) Z)))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_118 _let_19 (not _let_119)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.identity _let_2 tptp.a QUANTIFIERS_INST_E_MATCHING _let_122)) :args _let_120)) _let_121 :args (_let_117 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_17 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_119 false _let_108)) :args (_let_19 false _let_117 false _let_119)))) (let ((_let_124 (tptp.less_equal tptp.zero tptp.a))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_125 _let_21))) (let ((_let_127 (_let_8))) (let ((_let_128 (ASSUME :args _let_127))) (let ((_let_129 (tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_125 _let_21 (not _let_126)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args _let_129) :args _let_127)) _let_128 :args (_let_124 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.zero tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_126 false _let_108)) :args (_let_21 false _let_124 false _let_126)))) (let ((_let_131 (tptp.less_equal _let_15 tptp.a))) (let ((_let_132 (not _let_131))) (let ((_let_133 (or _let_132 _let_23))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_132 _let_23 (not _let_133)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (tptp.a _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_112)) _let_113 :args (_let_131 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_15 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_133 false _let_108)) :args (_let_23 false _let_131 false _let_133)))) (let ((_let_135 (tptp.less_equal _let_17 _let_16))) (let ((_let_136 (not _let_135))) (let ((_let_137 (or _let_136 _let_25))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_136 _let_25 (not _let_137)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_16 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_112)) _let_113 :args (_let_135 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_17 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_137 false _let_108)) :args (_let_25 false _let_135 false _let_137)))) (let ((_let_139 (tptp.less_equal tptp.a tptp.identity))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_27))) (let ((_let_142 (_let_6))) (let ((_let_143 (ASSUME :args _let_142))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_140 _let_27 (not _let_141)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args _let_129) :args _let_142)) _let_143 :args (_let_139 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.a tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_110)) _let_109 :args (_let_141 false _let_108)) :args (_let_27 false _let_139 false _let_141)))) (let ((_let_145 (tptp.less_equal tptp.zero _let_1))) (let ((_let_146 (not _let_145))) (let ((_let_147 (or _let_146 _let_29))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_146 _let_29 (not _let_147)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_1 QUANTIFIERS_INST_ENUM)) :args _let_127)) _let_128 :args (_let_145 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.zero _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_147 false _let_108)) :args (_let_29 false _let_145 false _let_147)))) (let ((_let_149 (tptp.less_equal _let_13 _let_3))) (let ((_let_150 (not _let_149))) (let ((_let_151 (or _let_150 _let_30))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_151)) :args ((or _let_150 _let_30 (not _let_151)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_3 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_112)) _let_113 :args (_let_149 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_13 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_151 false _let_108)) :args (_let_30 false _let_149 false _let_151)))) (let ((_let_153 (tptp.less_equal _let_3 tptp.identity))) (let ((_let_154 (not _let_153))) (let ((_let_155 (or _let_154 _let_31))) (let ((_let_156 ((not (= (tptp.divide X Y) tptp.zero))))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_155)) :args ((or _let_154 _let_31 (not _let_155)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_3 QUANTIFIERS_INST_ENUM)) :args _let_142)) _let_143 :args (_let_153 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_3 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_156)) :args _let_110)) _let_109 :args (_let_155 false _let_108)) :args (_let_31 false _let_153 false _let_155)))) (let ((_let_158 (tptp.less_equal _let_18 _let_34))) (let ((_let_159 (not _let_158))) (let ((_let_160 (tptp.less_equal _let_34 _let_18))) (let ((_let_161 (not _let_160))) (let ((_let_162 (or _let_161 _let_159 _let_35))) (let ((_let_163 (_let_7))) (let ((_let_164 (ASSUME :args _let_163))) (let ((_let_165 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_166 (tptp.divide _let_34 _let_18))) (let ((_let_167 (tptp.less_equal _let_166 _let_34))) (let ((_let_168 (= tptp.zero _let_166))) (let ((_let_169 (or _let_161 _let_168))) (let ((_let_170 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_16 _let_3 _let_15 QUANTIFIERS_INST_E_MATCHING _let_122)) :args _let_120)) _let_121 :args (_let_160 false _let_9)))) (let ((_let_171 (not _let_19))) (let ((_let_172 (and _let_19 _let_168 _let_167))) (let ((_let_173 (ASSUME :args (_let_167)))) (let ((_let_174 (APPLY_UF tptp.less_equal))) (let ((_let_175 (ASSUME :args (_let_168)))) (let ((_let_176 (ASSUME :args (_let_19)))) (let ((_let_177 (SYMM (SYMM _let_176)))) (let ((_let_178 (SYMM _let_177))) (let ((_let_179 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_162)) :args ((or _let_161 _let_159 _let_35 (not _let_162)))) _let_170 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_172)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_173 _let_175 _let_176) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_178 (SYMM (SYMM _let_175))) (REFL :args (_let_34)) :args _let_174) (TRUE_INTRO _let_173))) :args (_let_167 _let_168 _let_19))) :args (_let_19 _let_168 _let_167))) :args (true _let_172)) :args ((or _let_171 _let_158 (not _let_168) (not _let_167)))) _let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_169)) :args ((or _let_161 _let_168 (not _let_169)))) _let_170 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_34 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_169 false _let_108)) :args (_let_168 false _let_160 false _let_169)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_34 _let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_112)) _let_113 :args (_let_167 false _let_10)) :args (_let_158 false _let_19 false _let_168 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_34 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_165)) :args _let_163))) _let_164 :args (_let_162 false _let_7)) :args (_let_35 false _let_160 false _let_158 false _let_162)))) (let ((_let_180 (tptp.less_equal _let_13 _let_38))) (let ((_let_181 (not _let_180))) (let ((_let_182 (tptp.less_equal _let_38 _let_13))) (let ((_let_183 (not 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((= (not _let_631) _let_81))) (REFL :args (_let_957)) (REFL :args (_let_1019)) (REFL :args (_let_1018)) :args _let_643)) :args ((or _let_190 _let_171 _let_211 _let_459 _let_279 _let_262 _let_847 _let_496 _let_960 _let_738 _let_245 _let_210 _let_552 _let_781 _let_737 _let_812 _let_946 _let_439 _let_578 _let_1023 _let_644 _let_458 _let_959 _let_780 _let_1022 _let_585 _let_736 _let_521 _let_958 _let_811 _let_916 _let_915 _let_779 _let_760 _let_584 _let_81 _let_1021 _let_1020 _let_957 _let_1019 _let_1018))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_955)) :args ((or _let_954 _let_952 _let_104 (not _let_955)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_1 _let_3 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_122)) :args _let_120)) _let_121 :args (_let_953 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_961)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_962 _let_766 _let_741 _let_283 _let_580 _let_744 _let_748 _let_194 _let_500 _let_462 _let_527 _let_820 _let_968 _let_918 _let_851 _let_221 _let_556 _let_785 _let_788 _let_219 _let_982 _let_792 _let_824 _let_934 _let_963 _let_588 _let_266 _let_449 _let_465 _let_1012) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS (CONG _let_990 _let_833 :args _let_215) _let_1017 _let_1007 _let_1006) (SYMM _let_1015)) (REFL :args (_let_102)) :args _let_174) (CONG (TRANS _let_1015 (TRANS _let_1005 _let_1004 _let_1001 _let_996 (CONG (SYMM _let_990) (TRANS _let_988 _let_986 _let_981 _let_976 _let_975 _let_919 (SYMM _let_969) (CONG _let_833 (TRANS _let_822 _let_529 _let_505 _let_502 _let_562) :args _let_215) (CONG _let_833 _let_195 :args _let_215)) :args _let_215))) (CONG _let_648 _let_967 :args _let_215) :args _let_174) (TRUE_INTRO _let_962))) :args (_let_956 _let_86 _let_59 _let_23 _let_57 _let_73 _let_83 _let_14 _let_29 _let_27 _let_70 _let_71 _let_100 _let_99 _let_31 _let_39 _let_40 _let_91 _let_64 _let_21 _let_94 _let_45 _let_75 _let_97 _let_30 _let_72 _let_25 _let_53 _let_60 _let_61))) :args (_let_14 _let_21 _let_23 _let_25 _let_27 _let_29 _let_30 _let_31 _let_59 _let_39 _let_40 _let_83 _let_71 _let_53 _let_57 _let_45 _let_60 _let_61 _let_64 _let_73 _let_70 _let_100 _let_75 _let_97 _let_99 _let_91 _let_86 _let_72 _let_94 _let_956))) :args (true _let_961)) :args ((or _let_190 _let_211 _let_459 _let_279 _let_262 _let_847 _let_496 _let_960 _let_738 _let_210 _let_552 _let_781 _let_737 _let_812 _let_439 _let_578 _let_458 _let_959 _let_780 _let_736 _let_521 _let_958 _let_811 _let_916 _let_915 _let_779 _let_760 _let_584 _let_957 _let_951 (not _let_956)))) _let_116 _let_130 _let_144 _let_134 _let_138 _let_157 _let_148 _let_152 _let_421 _let_196 _let_223 _let_234 _let_730 _let_531 _let_268 _let_285 _let_451 _let_473 _let_478 _let_593 _let_506 _let_950 _let_623 _let_836 _let_861 _let_772 _let_753 _let_568 _let_804 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_1 tptp.zero _let_3 QUANTIFIERS_INST_E_MATCHING _let_205)) :args _let_120)) _let_121 :args (_let_956 false _let_9)) :args (_let_951 false _let_14 false _let_21 false _let_27 false _let_23 false _let_25 false _let_31 false _let_29 false _let_30 false _let_59 false _let_39 false _let_40 false _let_45 false _let_83 false _let_71 false _let_53 false _let_57 false _let_60 false _let_61 false _let_64 false _let_73 false _let_70 false _let_100 false _let_75 false _let_97 false _let_99 false _let_91 false _let_86 false _let_72 false _let_94 false _let_956)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_102 _let_103 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_165)) :args _let_163))) _let_164 :args (_let_955 false _let_7)) :args (_let_104 false _let_953 false _let_951 false _let_955)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_1 _let_3 _let_76 QUANTIFIERS_INST_E_MATCHING _let_205)) :args _let_120)) _let_121 :args (_let_101 false _let_9)) _let_950 _let_861 _let_836 _let_804 _let_772 _let_753 _let_730 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_634)) :args ((or _let_633 _let_631 _let_630 (not _let_634)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_42 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_112)) _let_113 :args (_let_632 false _let_10)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_646)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_649 _let_647) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (SYMM _let_650) _let_648 :args (=)) (FALSE_INTRO _let_647)) :args ((= _let_630 false)))) :args (_let_44 _let_638))) :args (_let_638 _let_44))) :args (true _let_646)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_638) _let_635))) _let_645 (REFL :args (_let_636)) :args _let_643)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_639)) :args ((or _let_637 _let_638 (not _let_639)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_642)) :args ((or _let_4 _let_106 _let_641 (not _let_642)))) (ASSUME :args (_let_5)) _let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_3 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_165)) :args _let_163))) _let_164 :args (_let_642 false _let_7)) :args (_let_641 true _let_4 false _let_105 false _let_642)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_296 :args (_let_1 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_640)) :args _let_297)) _let_296 :args (_let_639 false _let_295)) :args (_let_638 true _let_637 false _let_639)) _let_230 :args (_let_636 true _let_635 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_164 :args (_let_43 _let_42 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_165)) :args _let_163))) _let_164 :args (_let_634 false _let_7)) :args (_let_631 false _let_632 true _let_630 false _let_634)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_629)) :args ((or _let_628 _let_80 (not _let_629)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_3 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_112)) _let_113 :args (_let_627 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_76 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_629 false _let_108)) :args (_let_80 false _let_627 false _let_629)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_626)) :args ((or _let_625 _let_78 (not _let_626)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_1 tptp.a _let_2 QUANTIFIERS_INST_E_MATCHING _let_122)) :args _let_120)) _let_121 :args (_let_624 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_77 _let_76 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_626 false _let_108)) :args (_let_78 false _let_624 false _let_626)) _let_623 _let_593 _let_568 _let_531 _let_506 _let_485 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_481)) :args ((or _let_480 _let_65 (not _let_481)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_47 _let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_112)) _let_113 :args (_let_479 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_48 _let_47 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_481 false _let_108)) :args (_let_65 false _let_479 false _let_481)) _let_478 _let_473 _let_451 _let_421 _let_285 _let_268 _let_251 _let_234 _let_230 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_226)) :args ((or _let_225 _let_41 (not _let_226)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_16 QUANTIFIERS_INST_ENUM)) :args _let_127)) _let_128 :args (_let_224 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.zero _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_226 false _let_108)) :args (_let_41 false _let_224 false _let_226)) _let_223 _let_196 _let_179 _let_157 _let_152 _let_148 _let_144 _let_138 _let_134 _let_130 _let_123 _let_116 :args (false false _let_104 false _let_101 false _let_100 false _let_99 false _let_97 false _let_94 false _let_91 false _let_86 false _let_83 true _let_81 false _let_80 false _let_78 false _let_75 false _let_73 false _let_72 false _let_71 false _let_70 false _let_67 false _let_65 false _let_64 false _let_61 false _let_60 false _let_59 false _let_57 false _let_53 false _let_49 false _let_45 false _let_44 false _let_41 false _let_40 false _let_39 false _let_35 false _let_31 false _let_30 false _let_29 false _let_27 false _let_25 false _let_23 false _let_21 false _let_19 false _let_14)) :args (_let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 54.73/54.95  )
% 54.73/54.96  % SZS output end Proof for HEN010-3
% 54.80/54.97  % cvc5---1.0.5 exiting
% 54.80/54.97  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------