TSTP Solution File: HEN006-6 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HEN006-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 4.06s 4.26s
% Output : Proof 4.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HEN006-6 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n017.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 24 13:05:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.m5AEBNVWXI/cvc5---1.0.5_18192.p...
% 0.21/0.51 ------- get file name : TPTP file name is HEN006-6
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_18192.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 4.06/4.26 % SZS status Unsatisfiable for HEN006-6
% 4.06/4.26 % SZS output start Proof for HEN006-6
% 4.06/4.27 (
% 4.06/4.27 (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 $$unsorted)) (= (tptp.divide X X) tptp.zero)))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.divide tptp.zero X) tptp.zero)))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (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 $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))))) (let ((_let_13 (tptp.divide _let_4 tptp.d))) (let ((_let_14 (= tptp.zero _let_13))) (let ((_let_15 (tptp.divide _let_1 tptp.a))) (let ((_let_16 (= tptp.zero _let_15))) (let ((_let_17 (tptp.divide _let_1 tptp.b))) (let ((_let_18 (tptp.divide _let_17 _let_1))) (let ((_let_19 (= tptp.zero _let_18))) (let ((_let_20 (tptp.divide tptp.a tptp.a))) (let ((_let_21 (= tptp.zero _let_20))) (let ((_let_22 (tptp.divide tptp.d tptp.b))) (let ((_let_23 (tptp.divide _let_4 _let_22))) (let ((_let_24 (tptp.divide _let_23 _let_4))) (let ((_let_25 (= tptp.zero _let_24))) (let ((_let_26 (tptp.divide tptp.b tptp.a))) (let ((_let_27 (= tptp.zero (tptp.divide tptp.zero _let_26)))) (let ((_let_28 (tptp.divide _let_17 tptp.a))) (let ((_let_29 (tptp.divide _let_15 _let_26))) (let ((_let_30 (= tptp.zero (tptp.divide _let_29 _let_28)))) (let ((_let_31 (= tptp.zero (tptp.divide _let_17 _let_18)))) (let ((_let_32 (tptp.divide _let_17 _let_4))) (let ((_let_33 (= _let_24 _let_32))) (let ((_let_34 (tptp.divide _let_32 _let_28))) (let ((_let_35 (tptp.divide _let_4 _let_28))) (let ((_let_36 (tptp.divide _let_17 _let_28))) (let ((_let_37 (tptp.divide _let_36 _let_35))) (let ((_let_38 (= _let_37 _let_34))) (let ((_let_39 (= _let_29 _let_28))) (let ((_let_40 (= _let_36 _let_37))) (let ((_let_41 (not _let_5))) (let ((_let_42 (or _let_41 _let_14))) (let ((_let_43 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_43))) (let ((_let_46 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_14 (not _let_42)))) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_4 tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_42 false _let_43)) :args (_let_14 false _let_5 false _let_42)))) (let ((_let_48 (tptp.less_equal _let_1 tptp.a))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_16))) (let ((_let_51 (_let_10))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 ((tptp.divide X Y)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_16 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.a tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_48 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_50 false _let_43)) :args (_let_16 false _let_48 false _let_50)))) (let ((_let_55 (tptp.less_equal _let_17 _let_1))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_19))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_56 _let_19 (not _let_57)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_1 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_55 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_17 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_57 false _let_43)) :args (_let_19 false _let_55 false _let_57)))) (let ((_let_59 (forall ((X $$unsorted)) (= tptp.zero (tptp.divide X X))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_59))) (let ((_let_62 ((not (= (tptp.divide X X) tptp.zero))))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_21 false _let_59)))) (let ((_let_64 (tptp.less_equal _let_23 _let_4))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_25))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_25 (not _let_66)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_4 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_64 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_23 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_66 false _let_43)) :args (_let_25 false _let_64 false _let_66)))) (let ((_let_68 (forall ((X $$unsorted)) (= tptp.zero (tptp.divide tptp.zero X))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (_let_68))) (let ((_let_71 ((not (= (tptp.divide tptp.zero X) tptp.zero))))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_70)) _let_69 :args (_let_27 false _let_68)))) (let ((_let_73 (tptp.less_equal _let_29 _let_28))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_30))) (let ((_let_76 (_let_9))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 ((tptp.divide (tptp.divide X Z) (tptp.divide Y Z))))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_1 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_76)) _let_77 :args (_let_73 false _let_9)))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_74 _let_30 (not _let_75)))) _let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_29 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_75 false _let_43)) :args (_let_30 false _let_73 false _let_75)))) (let ((_let_81 (tptp.less_equal _let_17 _let_18))) (let ((_let_82 (not _let_31))) (let ((_let_83 (or _let_82 _let_81))) (let ((_let_84 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (_let_84))) (let ((_let_87 ((not (= (tptp.less_equal X Y) true))))) (let ((_let_88 (= _let_17 _let_18))) (let ((_let_89 (not _let_81))) (let ((_let_90 (tptp.less_equal _let_18 _let_17))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_89 _let_88))) (let ((_let_93 (_let_8))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_96 (= tptp.zero _let_17))) (let ((_let_97 (not _let_88))) (let ((_let_98 (not _let_96))) (let ((_let_99 (or _let_98 _let_2))) (let ((_let_100 (or))) (let ((_let_101 (not _let_19))) (let ((_let_102 (REFL :args (_let_101)))) (let ((_let_103 (and _let_98 _let_19))) (let ((_let_104 (ASSUME :args (_let_98)))) (let ((_let_105 (=))) (let ((_let_106 (REFL :args (_let_17)))) (let ((_let_107 (ASSUME :args (_let_19)))) (let ((_let_108 (SYMM (SYMM _let_107)))) (let ((_let_109 (SYMM _let_108))) (let ((_let_110 (tptp.less_equal _let_32 _let_24))) (let ((_let_111 (not _let_110))) (let ((_let_112 (tptp.less_equal _let_24 _let_32))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_111 _let_33))) (let ((_let_115 (= tptp.zero (tptp.divide tptp.zero tptp.b)))) (let ((_let_116 (tptp.less_equal _let_32 (tptp.divide _let_15 tptp.b)))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_70)) _let_69 :args (_let_115 false _let_68)))) (let ((_let_118 (not _let_115))) (let ((_let_119 (not _let_25))) (let ((_let_120 (not _let_16))) (let ((_let_121 (and _let_16 _let_25 _let_116 _let_115))) (let ((_let_122 (ASSUME :args (_let_116)))) (let ((_let_123 (APPLY_UF tptp.less_equal))) (let ((_let_124 (APPLY_UF tptp.divide))) (let ((_let_125 (REFL :args (tptp.b)))) (let ((_let_126 (ASSUME :args (_let_16)))) (let ((_let_127 (SYMM _let_126))) (let ((_let_128 (SYMM _let_127))) (let ((_let_129 (ASSUME :args (_let_115)))) (let ((_let_130 (SYMM (SYMM _let_129)))) (let ((_let_131 (ASSUME :args (_let_25)))) (let ((_let_132 (SYMM (SYMM _let_131)))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (REFL :args (_let_32)))) (let ((_let_135 (= tptp.zero (tptp.divide _let_24 _let_32)))) (let ((_let_136 (not _let_135))) (let ((_let_137 (or _let_136 _let_112))) (let ((_let_138 ((tptp.divide X Y)))) (let ((_let_139 (= tptp.zero (tptp.divide tptp.zero _let_32)))) (let ((_let_140 (and _let_25 _let_139))) (let ((_let_141 (ASSUME :args (_let_139)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_113 _let_111 _let_33 (not _let_114)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_112 _let_136 (not _let_137)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_140)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_141 _let_131) (SCOPE (TRANS (SYMM (SYMM _let_141)) (CONG _let_132 _let_134 :args _let_124)) :args (_let_139 _let_25))) :args (_let_25 _let_139))) :args (true _let_140)) :args ((or _let_119 _let_135 (not _let_139)))) _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_70)) _let_69 :args (_let_139 false _let_68)) :args (_let_135 false _let_25 false _let_139)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_24 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_138)) :args _let_86)) _let_85 :args (_let_137 false _let_84)) :args (_let_112 false _let_135 false _let_137)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_121)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_129 _let_131 _let_122 _let_126) (SCOPE (TRUE_ELIM (TRANS (CONG _let_134 (TRANS _let_133 _let_130 (CONG _let_128 _let_125 :args _let_124)) :args _let_123) (TRUE_INTRO _let_122))) :args (_let_115 _let_25 _let_116 _let_16))) :args (_let_16 _let_25 _let_116 _let_115))) :args (true _let_121)) :args ((or _let_120 _let_119 (not _let_116) _let_110 _let_118))) _let_54 _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_1 tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_76)) _let_77 :args (_let_116 false _let_9)) _let_117 :args (_let_110 false _let_16 false _let_25 false _let_116 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_24 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_114 false _let_8)) :args (_let_33 false _let_112 false _let_110 false _let_114)))) (let ((_let_143 (tptp.less_equal _let_34 _let_37))) (let ((_let_144 (not _let_143))) (let ((_let_145 (tptp.less_equal _let_37 _let_34))) (let ((_let_146 (not _let_145))) (let ((_let_147 (or _let_146 _let_144 _let_38))) (let ((_let_148 (tptp.divide _let_37 _let_34))) (let ((_let_149 (tptp.less_equal _let_148 _let_37))) (let ((_let_150 (= tptp.zero _let_148))) (let ((_let_151 (or _let_146 _let_150))) (let ((_let_152 ((tptp.divide (tptp.divide X Y) Z)))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_17 _let_28 _let_4 QUANTIFIERS_INST_E_MATCHING _let_152)) :args _let_76)) _let_77 :args (_let_145 false _let_9)))) (let ((_let_154 (not _let_33))) (let ((_let_155 (not _let_30))) (let ((_let_156 (not _let_27))) (let ((_let_157 (not _let_21))) (let ((_let_158 (not _let_14))) (let ((_let_159 (and _let_14 _let_16 _let_25 _let_21 _let_27 _let_30 _let_33 _let_150 _let_149))) (let ((_let_160 (ASSUME :args (_let_149)))) (let ((_let_161 (ASSUME :args (_let_150)))) (let ((_let_162 (ASSUME :args (_let_14)))) (let ((_let_163 (SYMM _let_162))) (let ((_let_164 (ASSUME :args (_let_30)))) (let ((_let_165 (SYMM (SYMM _let_164)))) (let ((_let_166 (SYMM _let_165))) (let ((_let_167 (REFL :args (_let_28)))) (let ((_let_168 (REFL :args (_let_26)))) (let ((_let_169 (ASSUME :args (_let_21)))) (let ((_let_170 (SYMM _let_169))) (let ((_let_171 (TRANS _let_170 _let_162))) (let ((_let_172 (CONG (TRANS _let_171 (TRANS _let_163 _let_128)) _let_168 :args _let_124))) (let ((_let_173 (CONG _let_169 _let_168 :args _let_124))) (let ((_let_174 (ASSUME :args (_let_27)))) (let ((_let_175 (SYMM _let_174))) (let ((_let_176 (SYMM _let_175))) (let ((_let_177 (ASSUME :args (_let_33)))) (let ((_let_178 (SYMM (SYMM _let_177)))) (let ((_let_179 (SYMM _let_178))) (let ((_let_180 (TRANS _let_179 _let_133 _let_162))) (let ((_let_181 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_146 _let_144 _let_38 (not _let_147)))) _let_153 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_159)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_160 _let_161 _let_162 _let_164 _let_126 _let_169 _let_174 _let_131 _let_177) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS (CONG (TRANS _let_180 (TRANS _let_163 _let_176 _let_173 _let_172)) _let_167 :args _let_124) _let_166 _let_162) (TRANS _let_163 (SYMM (SYMM _let_161)))) (REFL :args (_let_37)) :args _let_123) (TRUE_INTRO _let_160))) :args (_let_149 _let_150 _let_14 _let_30 _let_16 _let_21 _let_27 _let_25 _let_33))) :args (_let_14 _let_16 _let_25 _let_21 _let_27 _let_30 _let_33 _let_150 _let_149))) :args (true _let_159)) :args ((or _let_158 _let_120 _let_157 _let_119 _let_156 _let_155 _let_154 _let_143 (not _let_150) (not _let_149)))) _let_47 _let_54 _let_63 _let_67 _let_72 _let_80 _let_142 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_151)) :args ((or _let_146 _let_150 (not _let_151)))) _let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_37 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_151 false _let_43)) :args (_let_150 false _let_145 false _let_151)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_37 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_149 false _let_10)) :args (_let_143 false _let_14 false _let_16 false _let_21 false _let_25 false _let_27 false _let_30 false _let_33 false _let_150 false _let_149)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_37 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_147 false _let_8)) :args (_let_38 false _let_145 false _let_143 false _let_147)))) (let ((_let_182 (tptp.less_equal _let_28 _let_29))) (let ((_let_183 (not _let_182))) (let ((_let_184 (or _let_74 _let_183 _let_39))) (let ((_let_185 (= tptp.zero (tptp.divide _let_28 _let_29)))) (let ((_let_186 (not _let_185))) (let ((_let_187 (or _let_186 _let_182))) (let ((_let_188 (tptp.divide _let_32 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(AND_INTRO _let_361 _let_107 _let_174 _let_162 _let_169 _let_126 _let_355) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.zero)) (CONG _let_106 (TRANS _let_356 _let_363 _let_362 _let_175 _let_108) :args _let_124) :args _let_105) (FALSE_INTRO _let_361))) :args (_let_82 _let_19 _let_27 _let_14 _let_21 _let_16 _let_39)))) :args (_let_14 _let_16 _let_19 _let_25 _let_21 _let_27 _let_30 _let_82 _let_33 _let_39 _let_38 _let_40)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_358)))) (TRUE_INTRO (TRANS _let_329 (SYMM (TRANS (SYMM (SYMM _let_360)) (SYMM (ASSUME :args (_let_359))) _let_329)))))) :args (_let_14 _let_359 _let_40 _let_358)) :args ((not (and _let_14 _let_16 _let_19 _let_25 _let_21 _let_27 _let_30 _let_82 _let_33 _let_39 _let_38 _let_40)) SB_LITERAL))) (CONG (REFL :args (_let_158)) (REFL :args (_let_120)) _let_102 (REFL :args (_let_119)) (REFL :args (_let_157)) (REFL :args (_let_156)) (REFL :args (_let_155)) (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_31))) (REFL :args (_let_154)) (REFL :args (_let_337)) (REFL :args (_let_336)) (REFL :args (_let_357)) :args _let_100)) :args ((or _let_158 _let_120 _let_101 _let_157 _let_119 _let_156 _let_31 _let_155 _let_154 _let_337 _let_336 _let_357))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_227)) :args ((or _let_226 _let_224 _let_40 (not _let_227)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_36 _let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_225 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_338)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_339 _let_347 _let_107 _let_348 _let_162 _let_340 _let_272 _let_126 _let_129 _let_265 _let_131 _let_177 _let_345 _let_174 _let_169 _let_355 _let_164 _let_353) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS (CONG _let_106 (TRANS _let_356 (SYMM _let_352) (SYMM _let_173) _let_175 _let_108) :args _let_124) _let_350) (SYMM _let_351)) (TRANS (SYMM _let_354) (CONG (TRANS _let_343 (TRANS _let_163 _let_176 _let_173 _let_352)) _let_167 :args _let_124) _let_166 _let_265 (SYMM _let_342) (SYMM _let_344) _let_346) :args _let_123) (CONG (TRANS _let_351 (TRANS _let_349 (CONG _let_106 (TRANS _let_109 (SYMM (SYMM _let_347))) :args _let_124))) (TRANS (SYMM _let_346) _let_344 _let_342 _let_266 _let_130 (CONG _let_126 _let_125 :args _let_124) (CONG (TRANS _let_341 (TRANS _let_274 (CONG (REFL :args (_let_1)) (CONG _let_125 (SYMM (SYMM _let_340)) :args _let_124) :args _let_124))) _let_125 :args _let_124)) :args _let_123) (TRUE_INTRO _let_339))) :args (_let_231 _let_235 _let_19 _let_238 _let_14 _let_236 _let_240 _let_16 _let_115 _let_242 _let_25 _let_33 _let_234 _let_27 _let_21 _let_39 _let_30 _let_38))) :args (_let_14 _let_16 _let_19 _let_242 _let_240 _let_25 _let_21 _let_27 _let_30 _let_238 _let_33 _let_39 _let_115 _let_236 _let_235 _let_234 _let_38 _let_231))) :args (true _let_338)) :args ((or _let_158 _let_120 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(INSTANTIATE _let_52 :args (tptp.d _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_280 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_286)) :args ((or _let_278 _let_285 (not _let_286)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_331)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_332 _let_323 _let_315) (SCOPE (TRANS _let_326 _let_325 (SYMM _let_332)) :args (_let_289 _let_291 _let_292))) :args (_let_292 _let_291 _let_289))) :args (true _let_331)) :args ((or _let_311 _let_284 _let_321 (not _let_289)))) _let_310 _let_317 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_297)) :args ((or _let_296 _let_294 _let_289 (not _let_297)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_283 _let_287 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_295 false _let_10)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args 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(_let_278 false _let_284 false _let_286)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_228 tptp.d QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93))) _let_94 :args (_let_282 false _let_8)) :args (_let_236 false _let_280 false _let_278 false _let_282)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_277)) :args ((or _let_276 _let_235 (not _let_277)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.b _let_228 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_275 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_229 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_277 false _let_43)) :args (_let_235 false _let_275 false _let_277)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_247)) :args ((or _let_246 _let_244 _let_234 (not _let_247)))) _let_252 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_269)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_270 _let_271 _let_162 _let_265 _let_272 _let_131 _let_177) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS (CONG _let_180 _let_274 :args _let_124) (CONG _let_274 (SYMM _let_274) :args _let_124) _let_266 _let_162) (TRANS _let_163 (SYMM (SYMM _let_271)))) (REFL :args (_let_233)) :args _let_123) (TRUE_INTRO _let_270))) :args (_let_249 _let_250 _let_14 _let_242 _let_240 _let_25 _let_33))) :args (_let_14 _let_242 _let_240 _let_25 _let_33 _let_250 _let_249))) :args (true _let_269)) :args ((or _let_158 _let_262 _let_268 _let_119 _let_154 _let_243 (not _let_250) (not _let_249)))) _let_47 _let_261 _let_267 _let_67 _let_142 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_251)) :args ((or _let_246 _let_250 (not _let_251)))) _let_252 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_233 _let_232 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45)) _let_44 :args (_let_251 false _let_43)) :args (_let_250 false _let_245 false _let_251)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_233 _let_232 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_249 false _let_10)) :args (_let_243 false _let_14 false _let_242 false _let_240 false _let_25 false _let_33 false _let_250 false _let_249)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_233 _let_232 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_247 false _let_8)) :args (_let_234 false _let_245 false _let_243 false _let_247)) _let_181 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_1 tptp.b _let_229 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_76)) _let_77 :args (_let_231 false _let_9)) :args (_let_223 false _let_14 false _let_16 false _let_19 false _let_242 false _let_240 false _let_21 false _let_25 false _let_27 false _let_30 false _let_238 false _let_33 false _let_39 false _let_115 false _let_236 false _let_235 false _let_234 false _let_38 false _let_231)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_37 _let_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93))) _let_94 :args (_let_227 false _let_8)) :args (_let_40 false _let_225 false _let_223 false _let_227)) _let_222 _let_181 _let_142 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_81 _let_82 (not _let_83)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_91 _let_89 _let_88 (not _let_92)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_17 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_53)) :args _let_51)) _let_52 :args (_let_90 false _let_10)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_103)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_107 _let_104) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG _let_109 _let_106 :args _let_105) (FALSE_INTRO _let_104)) :args ((= _let_88 false)))) :args (_let_19 _let_98))) :args (_let_98 _let_19))) :args (true _let_103)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_96))) _let_102 (REFL :args (_let_97)) :args _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_2 _let_98 (not _let_99)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_1 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_86)) _let_85 :args (_let_99 false _let_84)) :args (_let_98 true _let_2 false _let_99)) _let_58 :args (_let_97 true _let_96 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_18 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93))) _let_94 :args (_let_92 false _let_8)) :args (_let_89 false _let_90 true _let_88 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_17 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_86)) _let_85 :args (_let_83 false _let_84)) :args (_let_82 true _let_81 false _let_83)) _let_80 _let_72 _let_67 _let_63 _let_58 _let_54 _let_47 :args (false false _let_40 false _let_39 false _let_38 false _let_33 true _let_31 false _let_30 false _let_27 false _let_25 false _let_21 false _let_19 false _let_16 false _let_14)) :args (_let_12 _let_11 _let_10 _let_9 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)) _let_8 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) (forall ((X $$unsorted)) (= (tptp.divide X tptp.identity) tptp.zero)) _let_7 _let_6 _let_5 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 4.06/4.27 )
% 4.06/4.29 % SZS output end Proof for HEN006-6
% 4.06/4.30 % cvc5---1.0.5 exiting
% 4.06/4.30 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------