TSTP Solution File: HEN006-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HEN006-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 01:54:34 EDT 2023
% Result : Unsatisfiable 3.56s 3.78s
% Output : Proof 3.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HEN006-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.17/0.35 % Computer : n018.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 24 13:38:58 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Bk4M8Oke4B/cvc5---1.0.5_29235.p...
% 0.20/0.49 ------- get file name : TPTP file name is HEN006-3
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29235.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 3.56/3.78 % SZS status Unsatisfiable for HEN006-3
% 3.56/3.78 % SZS output start Proof for HEN006-3
% 3.56/3.79 (
% 3.56/3.79 (let ((_let_1 (tptp.divide tptp.a tptp.d))) (let ((_let_2 (tptp.less_equal _let_1 tptp.b))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.divide tptp.a tptp.b))) (let ((_let_5 (tptp.less_equal _let_4 tptp.d))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_7 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)))) (let ((_let_8 (forall ((X $$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_9 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))))) (let ((_let_12 (tptp.divide _let_1 tptp.b))) (let ((_let_13 (tptp.divide _let_12 _let_1))) (let ((_let_14 (= tptp.zero _let_13))) (let ((_let_15 (tptp.divide tptp.d tptp.b))) (let ((_let_16 (tptp.divide _let_4 _let_15))) (let ((_let_17 (tptp.divide _let_16 _let_4))) (let ((_let_18 (= tptp.zero _let_17))) (let ((_let_19 (tptp.divide _let_1 tptp.a))) (let ((_let_20 (tptp.divide _let_19 tptp.b))) (let ((_let_21 (tptp.divide _let_12 _let_4))) (let ((_let_22 (tptp.divide _let_21 _let_20))) (let ((_let_23 (= tptp.zero _let_22))) (let ((_let_24 (= tptp.zero _let_20))) (let ((_let_25 (= _let_17 _let_21))) (let ((_let_26 (= tptp.zero (tptp.divide _let_12 _let_21)))) (let ((_let_27 (tptp.divide _let_4 _let_20))) (let ((_let_28 (tptp.divide _let_12 _let_20))) (let ((_let_29 (tptp.divide _let_28 _let_27))) (let ((_let_30 (= _let_22 _let_29))) (let ((_let_31 (= _let_28 _let_29))) (let ((_let_32 (tptp.less_equal _let_12 _let_1))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_14))) (let ((_let_35 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_39 (_let_9))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 ((tptp.divide X Y)))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_14 (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_1 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_32 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_12 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_34 false _let_35)) :args (_let_14 false _let_32 false _let_34)))) (let ((_let_43 (tptp.less_equal _let_16 _let_4))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_18))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_18 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_4 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_43 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_16 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_45 false _let_35)) :args (_let_18 false _let_43 false _let_45)))) (let ((_let_47 (tptp.less_equal _let_21 _let_20))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_23))) (let ((_let_50 (_let_8))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 ((tptp.divide (tptp.divide X Z) (tptp.divide Y Z))))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_1 tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_52)) :args _let_50)) _let_51 :args (_let_47 false _let_8)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_48 _let_23 (not _let_49)))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_21 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_49 false _let_35)) :args (_let_23 false _let_47 false _let_49)))) (let ((_let_55 (tptp.less_equal _let_19 tptp.b))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_24))) (let ((_let_58 (tptp.less_equal tptp.zero tptp.b))) (let ((_let_59 (= tptp.zero _let_19))) (let ((_let_60 (_let_7))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 ((not (= (tptp.less_equal tptp.zero X) true))))) (let ((_let_63 (tptp.less_equal _let_1 tptp.a))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_59))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_64 _let_59 (not _let_65)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.a tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_63 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_65 false _let_35)) :args (_let_59 false _let_63 false _let_65)))) (let ((_let_67 (not _let_59))) (let ((_let_68 (and _let_59 _let_58))) (let ((_let_69 (ASSUME :args (_let_58)))) (let ((_let_70 (APPLY_UF tptp.less_equal))) (let ((_let_71 (REFL :args (tptp.b)))) (let ((_let_72 (ASSUME :args (_let_59)))) (let ((_let_73 (SYMM _let_72))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_56 _let_24 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_68)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_69 _let_72) (SCOPE (TRUE_ELIM (TRANS (CONG _let_73 _let_71 :args _let_70) (TRUE_INTRO _let_69))) :args (_let_58 _let_59))) :args (_let_59 _let_58))) :args (true _let_68)) :args ((or _let_67 _let_55 (not _let_58)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_60)) _let_61 :args (_let_58 false _let_7)) :args (_let_55 false _let_59 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_19 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide X Y) tptp.zero))))) :args _let_37)) _let_36 :args (_let_57 false _let_35)) :args (_let_24 false _let_55 false _let_57)))) (let ((_let_75 (tptp.less_equal _let_21 _let_17))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.less_equal _let_17 _let_21))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_76 _let_25))) (let ((_let_80 (_let_6))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_83 (and _let_18 _let_47 _let_24))) (let ((_let_84 (ASSUME :args (_let_47)))) (let ((_let_85 (ASSUME :args (_let_24)))) (let ((_let_86 (SYMM _let_85))) (let ((_let_87 (SYMM _let_86))) (let ((_let_88 (ASSUME :args (_let_18)))) (let ((_let_89 (SYMM (SYMM _let_88)))) (let ((_let_90 (SYMM _let_89))) (let ((_let_91 (REFL :args (_let_21)))) (let ((_let_92 (tptp.less_equal tptp.zero _let_21))) (let ((_let_93 (not _let_18))) (let ((_let_94 (and _let_18 _let_92))) (let ((_let_95 (_let_18 _let_92))) (let ((_let_96 (ASSUME :args (_let_92)))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_78 _let_76 _let_25 (not _let_79)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_94)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_88 _let_96) (SCOPE (TRUE_ELIM (TRANS (CONG _let_90 _let_91 :args _let_70) (TRUE_INTRO _let_96))) :args _let_95)) :args _let_95)) :args (true _let_94)) :args ((or _let_93 _let_77 (not _let_92)))) _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_60)) _let_61 :args (_let_92 false _let_7)) :args (_let_77 false _let_18 false _let_92)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_83)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_84 _let_85 _let_88) (SCOPE (TRUE_ELIM (TRANS (CONG _let_91 (TRANS _let_90 _let_87) :args _let_70) (TRUE_INTRO _let_84))) :args (_let_47 _let_24 _let_18))) :args (_let_18 _let_47 _let_24))) :args (true _let_83)) _let_46 _let_53 _let_74 :args (_let_75 false _let_18 false _let_47 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_17 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_79 false _let_6)) :args (_let_25 false _let_77 false _let_75 false _let_79)))) (let ((_let_98 (= tptp.zero (tptp.divide _let_12 _let_13)))) (let ((_let_99 (not _let_26))) (let ((_let_100 (tptp.less_equal _let_12 _let_13))) (let ((_let_101 (not _let_98))) (let ((_let_102 (or _let_101 _let_100))) (let ((_let_103 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (_let_103))) (let ((_let_106 ((not (= (tptp.less_equal X Y) true))))) (let ((_let_107 (= _let_12 _let_13))) (let ((_let_108 (not _let_100))) (let ((_let_109 (tptp.less_equal _let_13 _let_12))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_110 _let_108 _let_107))) (let ((_let_112 (= tptp.zero _let_12))) (let ((_let_113 (not _let_107))) (let ((_let_114 (not _let_112))) (let ((_let_115 (or _let_114 _let_2))) (let ((_let_116 (or))) (let ((_let_117 (not _let_14))) (let ((_let_118 (REFL :args (_let_117)))) (let ((_let_119 (and _let_114 _let_14))) (let ((_let_120 (ASSUME :args (_let_114)))) (let ((_let_121 (=))) (let ((_let_122 (REFL :args (_let_12)))) (let ((_let_123 (ASSUME :args (_let_14)))) (let ((_let_124 (SYMM _let_123))) (let ((_let_125 (not _let_25))) (let ((_let_126 (and _let_14 _let_18 _let_101 _let_25))) (let ((_let_127 (ASSUME :args (_let_101)))) (let ((_let_128 (APPLY_UF tptp.divide))) (let ((_let_129 (ASSUME :args (_let_25)))) (let ((_let_130 (SYMM (SYMM _let_129)))) (let ((_let_131 (tptp.less_equal _let_22 _let_29))) (let ((_let_132 (not _let_131))) (let ((_let_133 (tptp.less_equal _let_29 _let_22))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_134 _let_132 _let_30))) (let ((_let_136 (tptp.divide _let_29 _let_22))) (let ((_let_137 (tptp.less_equal _let_136 _let_29))) (let ((_let_138 (= tptp.zero _let_136))) (let ((_let_139 (tptp.divide _let_4 tptp.d))) (let ((_let_140 (= tptp.zero _let_139))) (let ((_let_141 (or _let_134 _let_138))) (let ((_let_142 ((tptp.divide (tptp.divide X Y) Z)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_12 _let_20 _let_4 QUANTIFIERS_INST_E_MATCHING _let_142)) :args _let_50)) _let_51 :args (_let_133 false _let_8)))) (let ((_let_144 (not _let_5))) (let ((_let_145 (or _let_144 _let_140))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_144 _let_140 (not _let_145)))) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_4 tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_145 false _let_35)) :args (_let_140 false _let_5 false _let_145)))) (let ((_let_147 (not _let_23))) (let ((_let_148 (not _let_140))) (let ((_let_149 (and _let_140 _let_23 _let_138 _let_137))) (let ((_let_150 (ASSUME :args (_let_137)))) (let ((_let_151 (ASSUME :args (_let_138)))) (let ((_let_152 (ASSUME :args (_let_140)))) (let ((_let_153 (SYMM (SYMM _let_152)))) (let ((_let_154 (SYMM _let_153))) (let ((_let_155 (ASSUME :args (_let_23)))) (let ((_let_156 (SYMM (SYMM _let_155)))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_134 _let_132 _let_30 (not _let_135)))) _let_143 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_149)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_150 _let_151 _let_152 _let_155) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS _let_157 _let_153) (TRANS _let_154 (SYMM (SYMM _let_151)))) (REFL :args (_let_29)) :args _let_70) (TRUE_INTRO _let_150))) :args (_let_137 _let_138 _let_140 _let_23))) :args (_let_140 _let_23 _let_138 _let_137))) :args (true _let_149)) :args ((or _let_148 _let_147 _let_131 (not _let_138) (not _let_137)))) _let_146 _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_134 _let_138 (not _let_141)))) _let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_29 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_141 false _let_35)) :args (_let_138 false _let_133 false _let_141)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_29 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_137 false _let_9)) :args (_let_131 false _let_140 false _let_23 false _let_138 false _let_137)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_29 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80))) _let_81 :args (_let_135 false _let_6)) :args (_let_30 false _let_133 false _let_131 false _let_135)))) (let ((_let_159 (tptp.less_equal _let_28 _let_29))) (let ((_let_160 (not _let_159))) (let ((_let_161 (tptp.less_equal _let_29 _let_28))) (let ((_let_162 (not _let_161))) (let ((_let_163 (or _let_162 _let_160 _let_31))) (let ((_let_164 (tptp.divide tptp.d _let_139))) (let ((_let_165 (tptp.divide tptp.b _let_164))) (let ((_let_166 (tptp.divide _let_165 tptp.b))) (let ((_let_167 (tptp.less_equal (tptp.divide _let_12 _let_166) (tptp.divide (tptp.divide _let_1 _let_165) tptp.b)))) (let ((_let_168 (= tptp.zero _let_166))) (let ((_let_169 (= tptp.d _let_164))) (let ((_let_170 (tptp.divide tptp.b _let_1))) (let ((_let_171 (= tptp.zero (tptp.divide _let_170 tptp.b)))) (let ((_let_172 (tptp.divide _let_1 (tptp.divide tptp.b tptp.d)))) (let ((_let_173 (= _let_139 _let_172))) (let ((_let_174 (tptp.less_equal _let_165 tptp.b))) (let ((_let_175 (not _let_174))) (let ((_let_176 (or _let_175 _let_168))) (let ((_let_177 (tptp.less_equal tptp.d _let_164))) (let ((_let_178 (not _let_177))) (let ((_let_179 (tptp.less_equal _let_164 tptp.d))) (let ((_let_180 (not _let_179))) (let ((_let_181 (or _let_180 _let_178 _let_169))) (let ((_let_182 (tptp.divide tptp.d _let_164))) (let ((_let_183 (= tptp.zero _let_182))) (let ((_let_184 (not _let_183))) (let ((_let_185 (or _let_184 _let_177))) (let ((_let_186 ((tptp.divide X Y)))) (let ((_let_187 (tptp.divide _let_139 _let_164))) (let ((_let_188 (tptp.divide _let_182 _let_187))) (let ((_let_189 (= _let_182 _let_188))) (let ((_let_190 (tptp.divide _let_164 _let_164))) (let ((_let_191 (= _let_190 _let_188))) (let ((_let_192 (tptp.divide tptp.d tptp.d))) (let ((_let_193 (tptp.divide _let_192 _let_139))) (let ((_let_194 (= _let_193 _let_190))) (let ((_let_195 (tptp.divide tptp.d _let_4))) (let ((_let_196 (tptp.divide _let_195 tptp.d))) (let ((_let_197 (= _let_196 _let_193))) (let ((_let_198 (= tptp.zero _let_196))) (let ((_let_199 (tptp.less_equal _let_182 _let_188))) (let ((_let_200 (not _let_199))) (let ((_let_201 (tptp.less_equal _let_188 _let_182))) (let ((_let_202 (not _let_201))) (let ((_let_203 (or _let_202 _let_200 _let_189))) (let ((_let_204 (= tptp.zero (tptp.divide _let_190 _let_164)))) (let ((_let_205 (tptp.less_equal _let_182 _let_187))) (let ((_let_206 (tptp.less_equal _let_190 _let_188))) (let ((_let_207 (not _let_206))) (let ((_let_208 (tptp.less_equal _let_188 _let_190))) (let 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QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_179 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_185)) :args ((or _let_177 _let_184 (not _let_185)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_287)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_288 _let_278 _let_266 _let_256 _let_246) (SCOPE (TRANS _let_283 _let_282 _let_281 _let_280 (SYMM _let_288)) :args (_let_189 _let_191 _let_194 _let_197 _let_198))) :args (_let_198 _let_197 _let_194 _let_191 _let_189))) :args (true _let_287)) :args ((or _let_242 _let_252 _let_261 _let_183 _let_276 (not _let_189)))) _let_241 _let_248 _let_260 _let_269 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_203)) :args ((or _let_202 _let_200 _let_189 (not _let_203)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_182 _let_187 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_201 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_284)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_285 _let_152 _let_246 _let_256 _let_266 _let_286 _let_278) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_182)) (TRANS _let_279 _let_267 _let_257 _let_247 (SYMM (SYMM _let_286)) (CONG _let_268 (REFL :args (_let_164)) :args _let_128)) :args _let_70) (TRUE_INTRO _let_285))) :args (_let_205 _let_140 _let_198 _let_197 _let_194 _let_204 _let_191))) :args (_let_140 _let_198 _let_197 _let_194 _let_204 _let_205 _let_191))) :args (true _let_284)) :args ((or _let_148 _let_242 _let_252 _let_261 (not _let_205) (not _let_204) _let_276 _let_199))) _let_146 _let_241 _let_248 _let_260 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_275)) :args ((or _let_205 _let_274 (not _let_275)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_277)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_278 _let_266 _let_256 _let_246) (SCOPE (TRANS _let_283 _let_282 _let_281 _let_280) :args (_let_191 _let_194 _let_197 _let_198))) :args (_let_198 _let_197 _let_194 _let_191))) :args (true _let_277)) :args ((or _let_242 _let_252 _let_261 _let_273 _let_276))) _let_241 _let_248 _let_260 _let_269 :args (_let_273 false _let_198 false _let_197 false _let_194 false _let_191)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_182 _let_187 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_186)) :args _let_105)) _let_104 :args (_let_275 false _let_103)) :args (_let_205 false _let_273 false _let_275)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_272)) :args ((or _let_271 _let_204 (not _let_272)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_164 _let_164 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_270 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_190 _let_164 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_272 false _let_35)) :args (_let_204 false _let_270 false _let_272)) _let_269 :args (_let_199 false _let_140 false _let_198 false _let_197 false _let_194 false _let_205 false _let_204 false _let_191)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_188 _let_182 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80))) _let_81 :args (_let_203 false _let_6)) :args (_let_189 false _let_201 false _let_199 false _let_203)) :args (_let_183 false _let_198 false _let_197 false _let_194 false _let_191 false _let_189)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.d _let_164 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_186)) :args _let_105)) _let_104 :args (_let_185 false _let_103)) :args (_let_177 false _let_183 false _let_185)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_164 tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80))) _let_81 :args (_let_181 false _let_6)) :args (_let_169 false _let_179 false _let_177 false _let_181)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_176)) :args ((or _let_175 _let_168 (not _let_176)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.b _let_164 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_174 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_165 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_176 false _let_35)) :args (_let_168 false _let_174 false _let_176)) _let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_1 tptp.b _let_165 QUANTIFIERS_INST_E_MATCHING _let_52)) :args _let_50)) _let_51 :args (_let_167 false _let_8)) :args (_let_159 false _let_140 false _let_59 false _let_14 false _let_173 false _let_24 false _let_171 false _let_23 false _let_169 false _let_168 false _let_30 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_29 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80))) _let_81 :args (_let_163 false _let_6)) :args (_let_31 false _let_161 false _let_159 false _let_163)) _let_158 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_126)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_127 _let_123 _let_88 _let_129) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.zero)) (CONG _let_122 (TRANS (SYMM _let_130) _let_90 (SYMM _let_124)) :args _let_128) :args _let_121) (FALSE_INTRO _let_127))) :args (_let_101 _let_14 _let_18 _let_25))) :args (_let_14 _let_18 _let_101 _let_25))) :args (true _let_126)) (CONG _let_118 (REFL :args (_let_93)) (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_98))) (REFL :args (_let_125)) (REFL :args (_let_99)) :args _let_116)) :args ((or _let_117 _let_93 _let_98 _let_99 _let_125))) _let_42 _let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_100 _let_101 (not _let_102)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_110 _let_108 _let_107 (not _let_111)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_12 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_39)) _let_40 :args (_let_109 false _let_9)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_119)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_123 _let_120) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG _let_124 _let_122 :args _let_121) (FALSE_INTRO _let_120)) :args ((= _let_107 false)))) :args (_let_14 _let_114))) :args (_let_114 _let_14))) :args (true _let_119)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_114) _let_112))) _let_118 (REFL :args (_let_113)) :args _let_116)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_2 _let_114 (not _let_115)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_1 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_105)) _let_104 :args (_let_115 false _let_103)) :args (_let_114 true _let_2 false _let_115)) _let_42 :args (_let_113 true _let_112 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_13 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80))) _let_81 :args (_let_111 false _let_6)) :args (_let_108 false _let_109 true _let_107 false _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_12 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_105)) _let_104 :args (_let_102 false _let_103)) :args (_let_101 true _let_100 false _let_102)) _let_97 :args (_let_99 false _let_14 false _let_18 true _let_98 false _let_25)) _let_97 _let_74 _let_54 _let_46 _let_42 :args (false false _let_31 false _let_30 true _let_26 false _let_25 false _let_24 false _let_23 false _let_18 false _let_14)) :args (_let_11 _let_10 _let_9 _let_8 _let_7 _let_6 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) _let_5 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 3.56/3.79 )
% 3.56/3.80 % SZS output end Proof for HEN006-3
% 3.56/3.81 % cvc5---1.0.5 exiting
% 3.56/3.81 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------