TSTP Solution File: HEN009-6 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HEN009-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 0.76s 0.93s
% Output : Proof 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HEN009-6 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n022.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 13:30:10 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.g3CnZjSexG/cvc5---1.0.5_8350.p...
% 0.21/0.51 ------- get file name : TPTP file name is HEN009-6
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8350.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.76/0.93 % SZS status Unsatisfiable for HEN009-6
% 0.76/0.93 % SZS output start Proof for HEN009-6
% 0.76/0.95 (
% 0.76/0.95 (let ((_let_1 (tptp.divide tptp.identity tptp.a))) (let ((_let_2 (tptp.divide tptp.identity _let_1))) (let ((_let_3 (tptp.divide tptp.identity _let_2))) (let ((_let_4 (= _let_1 _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_equal X Y)) (tptp.less_equal (tptp.divide X Z) (tptp.divide Y Z)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.less_equal (tptp.divide X Y) Z)) (tptp.less_equal (tptp.divide X Z) Y))))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.divide X X) tptp.zero)))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.divide tptp.zero X) tptp.zero)))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.divide X tptp.identity) tptp.zero)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_12 (forall ((X $$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_13 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))))) (let ((_let_16 (tptp.divide tptp.identity tptp.identity))) (let ((_let_17 (= tptp.zero _let_16))) (let ((_let_18 (tptp.divide _let_2 tptp.a))) (let ((_let_19 (= tptp.zero _let_18))) (let ((_let_20 (tptp.divide _let_3 tptp.a))) (let ((_let_21 (= tptp.zero (tptp.divide _let_20 _let_3)))) (let ((_let_22 (= tptp.zero (tptp.divide _let_1 _let_3)))) (let ((_let_23 (tptp.divide _let_3 _let_2))) (let ((_let_24 (= _let_3 _let_23))) (let ((_let_25 (tptp.divide _let_1 _let_16))) (let ((_let_26 (= _let_1 _let_25))) (let ((_let_27 (tptp.divide _let_1 _let_18))) (let ((_let_28 (= _let_20 _let_27))) (let ((_let_29 (forall ((X $$unsorted)) (= tptp.zero (tptp.divide X tptp.identity))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide X tptp.identity) tptp.zero))))) :args (_let_29))) _let_30 :args (_let_17 false _let_29)))) (let ((_let_32 (tptp.less_equal _let_2 tptp.a))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_19))) (let ((_let_35 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 (tptp.less_equal _let_1 _let_1))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_32))) (let ((_let_41 (_let_7))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((not (= (tptp.less_equal (tptp.divide X Y) Z) false))))) (let ((_let_44 (tptp.less_equal tptp.identity tptp.identity))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_38))) (let ((_let_47 (_let_6))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 ((tptp.divide X Z) (tptp.divide Y Z)))) (let ((_let_50 (not _let_17))) (let ((_let_51 (or _let_50 _let_44))) (let ((_let_52 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (_let_52))) (let ((_let_55 ((tptp.divide X Y)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_44 _let_50 (not _let_51)))) _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.identity tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_51 false _let_52)) :args (_let_44 false _let_17 false _let_51)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_38 (not _let_46)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.identity tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_46 false _let_6)) :args (_let_38 false _let_44 false _let_46)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_19 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_32 (not _let_40)))) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.identity tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_40 false _let_7)) :args (_let_32 false _let_38 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_2 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide X Y) tptp.zero))))) :args _let_37)) _let_36 :args (_let_34 false _let_35)) :args (_let_19 false _let_32 false _let_34)))) (let ((_let_59 (tptp.less_equal _let_20 _let_3))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_21))) (let ((_let_62 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_63 (_let_13))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 ((tptp.divide X Y)))) (let ((_let_66 (tptp.less_equal _let_1 _let_3))) (let ((_let_67 (not _let_22))) (let ((_let_68 (or _let_67 _let_66))) (let ((_let_69 (not _let_66))) (let ((_let_70 (tptp.less_equal _let_3 _let_1))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_69 _let_4))) (let ((_let_73 (_let_11))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_76 (tptp.less_equal _let_2 _let_2))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_70))) (let ((_let_79 (or _let_45 _let_76))) (let ((_let_80 (tptp.less_equal _let_3 _let_23))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.less_equal _let_23 _let_3))) (let ((_let_83 (not _let_82))) (let ((_let_84 (or _let_83 _let_81 _let_24))) (let ((_let_85 (tptp.divide _let_3 _let_23))) (let ((_let_86 (= tptp.zero _let_85))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_80))) (let ((_let_89 (tptp.divide _let_2 _let_2))) (let ((_let_90 (= _let_89 _let_85))) (let ((_let_91 (= tptp.zero _let_89))) (let ((_let_92 (tptp.less_equal _let_89 _let_85))) (let ((_let_93 (not _let_92))) (let ((_let_94 (tptp.less_equal _let_85 _let_89))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_93 _let_90))) (let ((_let_97 (tptp.divide _let_16 _let_2))) (let ((_let_98 (tptp.less_equal (tptp.divide _let_97 _let_23) _let_85))) (let ((_let_99 (= tptp.zero (tptp.divide tptp.zero _let_23)))) (let ((_let_100 (= tptp.zero _let_97))) (let ((_let_101 (tptp.divide _let_3 tptp.identity))) (let ((_let_102 (= tptp.zero _let_101))) (let ((_let_103 (tptp.less_equal _let_97 _let_3))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_104 _let_98))) (let ((_let_106 (tptp.less_equal _let_101 _let_3))) (let ((_let_107 (tptp.less_equal _let_16 _let_2))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_108 _let_100))) (let ((_let_110 (tptp.less_equal _let_3 tptp.identity))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_111 _let_107))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.identity _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_110 false _let_13)))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_108 _let_100 (not _let_109)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_111 _let_107 (not _let_112)))) _let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.identity _let_2 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_112 false _let_7)) :args (_let_107 false _let_110 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_16 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_37)) _let_36 :args (_let_109 false _let_35)) :args (_let_100 false _let_107 false _let_109)))) (let ((_let_115 (or _let_111 _let_102))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_111 _let_102 (not _let_115)))) _let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_3 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_37)) _let_36 :args (_let_115 false _let_35)) :args (_let_102 false _let_110 false _let_115)))) (let ((_let_117 (and _let_102 _let_100 _let_106))) (let ((_let_118 (ASSUME :args (_let_106)))) (let ((_let_119 (APPLY_UF tptp.less_equal))) (let ((_let_120 (REFL :args (_let_3)))) (let ((_let_121 (ASSUME :args (_let_102)))) (let ((_let_122 (SYMM _let_121))) (let ((_let_123 (ASSUME :args (_let_100)))) (let ((_let_124 (SYMM (SYMM _let_123)))) (let ((_let_125 (forall ((X $$unsorted)) (= tptp.zero (tptp.divide tptp.zero X))))) (let ((_let_126 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_127 (_let_125))) (let ((_let_128 ((not (= (tptp.divide tptp.zero X) tptp.zero))))) (let ((_let_129 (forall ((X $$unsorted)) (= tptp.zero (tptp.divide X X))))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide X X) tptp.zero))))) :args (_let_129))) _let_130 :args (_let_91 false _let_129)))) (let ((_let_132 (not _let_91))) (let ((_let_133 (not _let_102))) (let ((_let_134 (and _let_102 _let_100 _let_91 _let_99 _let_98))) (let ((_let_135 (ASSUME :args (_let_98)))) (let ((_let_136 (APPLY_UF tptp.divide))) (let ((_let_137 (ASSUME :args (_let_99)))) (let ((_let_138 (ASSUME :args (_let_91)))) (let ((_let_139 (SYMM _let_138))) (let ((_let_140 (tptp.less_equal (tptp.divide _let_3 _let_89) _let_23))) (let ((_let_141 (not _let_140))) (let ((_let_142 (or _let_141 _let_94))) (let ((_let_143 (_let_12))) (let ((_let_144 (ASSUME :args _let_143))) (let ((_let_145 ((tptp.divide (tptp.divide X Y) Z)))) (let ((_let_146 (and _let_91 _let_90))) (let ((_let_147 (ASSUME :args (_let_90)))) (let ((_let_148 (tptp.less_equal _let_1 _let_25))) (let ((_let_149 (not _let_148))) (let ((_let_150 (tptp.less_equal _let_25 _let_1))) (let ((_let_151 (not _let_150))) (let ((_let_152 (or _let_151 _let_149 _let_26))) (let ((_let_153 (tptp.divide _let_1 _let_25))) (let ((_let_154 (= tptp.zero _let_153))) (let ((_let_155 (not _let_154))) (let ((_let_156 (or _let_155 _let_148))) (let ((_let_157 (= _let_16 _let_153))) (let ((_let_158 (tptp.less_equal _let_16 _let_153))) (let ((_let_159 (not _let_158))) (let ((_let_160 (tptp.less_equal _let_153 _let_16))) (let ((_let_161 (not _let_160))) (let ((_let_162 (or _let_161 _let_159 _let_157))) (let ((_let_163 (tptp.divide _let_1 tptp.identity))) (let ((_let_164 (tptp.divide _let_1 _let_163))) (let ((_let_165 (tptp.less_equal (tptp.divide _let_16 _let_164) (tptp.divide _let_1 _let_164)))) (let ((_let_166 (= tptp.zero (tptp.divide tptp.zero _let_164)))) (let ((_let_167 (tptp.divide _let_3 (tptp.divide _let_1 _let_2)))) (let ((_let_168 (= tptp.zero (tptp.divide _let_167 _let_89)))) (let ((_let_169 (= tptp.zero _let_163))) (let ((_let_170 (tptp.less_equal _let_16 _let_1))) (let ((_let_171 (not _let_170))) (let ((_let_172 (or _let_171 _let_165))) (let ((_let_173 (tptp.less_equal _let_2 tptp.identity))) (let ((_let_174 (not _let_173))) (let ((_let_175 (or _let_174 _let_170))) (let ((_let_176 (tptp.less_equal _let_167 _let_89))) (let ((_let_177 (not _let_176))) (let ((_let_178 (or _let_177 _let_168))) (let ((_let_179 (tptp.less_equal _let_1 tptp.identity))) (let ((_let_180 (not _let_179))) (let ((_let_181 (or _let_180 _let_169))) (let ((_let_182 (and _let_169 _let_102 _let_17 _let_91 _let_168 _let_166 _let_165))) (let ((_let_183 (ASSUME :args (_let_165)))) (let ((_let_184 (ASSUME :args (_let_169)))) (let ((_let_185 (ASSUME :args (_let_17)))) (let ((_let_186 (SYMM (SYMM _let_185)))) (let ((_let_187 (SYMM _let_186))) (let ((_let_188 (REFL :args (_let_1)))) (let ((_let_189 (CONG _let_188 (TRANS _let_187 (SYMM (SYMM _let_184))) :args _let_136))) (let ((_let_190 (ASSUME :args (_let_168)))) (let ((_let_191 (CONG (TRANS (SYMM _let_190) _let_186) (TRANS (CONG _let_188 (TRANS _let_139 _let_186) :args _let_136) _let_189) :args _let_136))) (let ((_let_192 (ASSUME :args (_let_166)))) (let ((_let_193 (tptp.less_equal _let_25 _let_25))) (let ((_let_194 (not _let_193))) (let ((_let_195 (or _let_194 _let_160))) (let ((_let_196 (or _let_39 _let_193))) (let ((_let_197 (and _let_17 _let_157))) (let ((_let_198 (ASSUME :args (_let_157)))) (let ((_let_199 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_151 _let_149 _let_26 (not _let_152)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_1 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_150 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_156)) :args ((or _let_148 _let_155 (not _let_156)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_197)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_198 _let_185) (SCOPE (TRANS _let_186 (SYMM (SYMM _let_198))) :args (_let_157 _let_17))) :args (_let_17 _let_157))) :args (true _let_197)) :args ((or _let_50 _let_154 (not _let_157)))) _let_31 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_162)) :args ((or _let_161 _let_159 _let_157 (not _let_162)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_195)) :args ((or _let_194 _let_160 (not _let_195)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_196)) :args ((or _let_39 _let_193 (not _let_196)))) _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_1 _let_1 _let_16 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_196 false _let_6)) :args (_let_193 false _let_38 false _let_196)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_1 _let_16 _let_25 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_195 false _let_7)) :args (_let_160 false _let_193 false _let_195)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_182)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_183 _let_185 _let_190 _let_184 _let_138 _let_192 _let_121) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS _let_187 _let_121) (TRANS _let_122 (SYMM (SYMM _let_192)) (CONG _let_186 (REFL :args (_let_164)) :args _let_136) (SYMM _let_191)) _let_191) (CONG _let_188 _let_189 :args _let_136) :args _let_119) (TRUE_INTRO _let_183))) :args (_let_165 _let_17 _let_168 _let_169 _let_91 _let_166 _let_102))) :args (_let_169 _let_102 _let_17 _let_91 _let_168 _let_166 _let_165))) :args (true _let_182)) :args ((or (not _let_169) _let_133 _let_50 _let_132 (not _let_168) _let_158 (not _let_166) (not _let_165)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_181)) :args ((or _let_180 _let_169 (not _let_181)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_179 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_1 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_37)) _let_36 :args (_let_181 false _let_35)) :args (_let_169 false _let_179 false _let_181)) _let_116 _let_31 _let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_178)) :args ((or _let_177 _let_168 (not _let_178)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (tptp.identity _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_145)) :args _let_143)) _let_144 :args (_let_176 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_167 _let_89 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_37)) _let_36 :args (_let_178 false _let_35)) :args (_let_168 false _let_176 false _let_178)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_164 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_128)) :args _let_127)) _let_126 :args (_let_166 false _let_125)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_172)) :args ((or _let_171 _let_165 (not _let_172)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_175)) :args ((or _let_174 _let_170 (not _let_175)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.identity _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_173 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.identity _let_1 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_175 false _let_7)) :args (_let_170 false _let_173 false _let_175)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_16 _let_1 _let_164 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_172 false _let_6)) :args (_let_165 false _let_170 false _let_172)) :args (_let_158 false _let_169 false _let_102 false _let_17 false _let_91 false _let_168 false _let_166 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_153 _let_16 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((_let_206 (or _let_111 _let_205))) (let ((_let_207 (and _let_17 _let_19 _let_205 _let_26))) (let ((_let_208 (ASSUME :args (_let_205)))) (let ((_let_209 (ASSUME :args (_let_26)))) (let ((_let_210 (SYMM _let_209))) (let ((_let_211 (ASSUME :args (_let_19)))) (let ((_let_212 (CONG _let_188 (TRANS (SYMM _let_211) _let_186) :args _let_136))) (let ((_let_213 (and _let_17 _let_19 _let_21 _let_24 _let_26 _let_28))) (let ((_let_214 (ASSUME :args (_let_28)))) (let ((_let_215 (ASSUME :args (_let_24)))) (let ((_let_216 (CONG (SYMM _let_215) (REFL :args (tptp.a)) :args _let_136))) (let ((_let_217 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_213)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_214 _let_209 _let_215 _let_217 _let_211 _let_185) (SCOPE (TRANS (SYMM (SYMM _let_217)) (CONG (TRANS (SYMM _let_216) (TRANS _let_216 (SYMM (SYMM _let_214)) _let_212) _let_210) _let_120 :args _let_136)) :args (_let_28 _let_26 _let_24 _let_21 _let_19 _let_17))) :args (_let_17 _let_19 _let_21 _let_24 _let_26 _let_28))) :args (true _let_213)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_204)) :args ((or _let_203 _let_201 _let_28 (not _let_204)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (tptp.identity tptp.a _let_2 QUANTIFIERS_INST_E_MATCHING _let_145)) :args _let_143)) _let_144 :args (_let_202 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_207)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_208 _let_209 _let_185 _let_211) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_20)) (TRANS _let_212 _let_210) :args _let_119) (TRUE_INTRO _let_208))) :args (_let_205 _let_26 _let_17 _let_19))) :args (_let_17 _let_19 _let_205 _let_26))) :args (true _let_207)) :args ((or _let_50 (not _let_19) (not _let_205) _let_200 (not _let_26)))) _let_31 _let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_206)) :args ((or _let_111 _let_205 (not _let_206)))) _let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_3 tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_206 false _let_6)) :args (_let_205 false _let_110 false _let_206)) _let_199 :args (_let_200 false _let_17 false _let_19 false _let_205 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_27 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73))) _let_74 :args (_let_204 false _let_11)) :args (_let_28 false _let_202 false _let_200 false _let_204)) _let_199 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_83 _let_81 _let_24 (not _let_84)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_3 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_82 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_80 _let_87 (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_146)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_147 _let_138) (SCOPE (TRANS (SYMM _let_139) (SYMM (SYMM _let_147))) :args (_let_90 _let_91))) :args (_let_91 _let_90))) :args (true _let_146)) :args ((or _let_132 _let_86 (not _let_90)))) _let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_95 _let_93 _let_90 (not _let_96)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_141 _let_94 (not _let_142)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (tptp.identity _let_2 _let_2 QUANTIFIERS_INST_E_MATCHING _let_145)) :args _let_143)) _let_144 :args (_let_140 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_3 _let_89 _let_23 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_142 false _let_7)) :args (_let_94 false _let_140 false _let_142)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_134)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_123 _let_135 _let_137 _let_138 _let_121) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS _let_139 _let_121) (TRANS _let_122 (SYMM (SYMM _let_137)) (CONG _let_124 (REFL :args (_let_23)) :args _let_136))) (REFL :args (_let_85)) :args _let_119) (TRUE_INTRO _let_135))) :args (_let_100 _let_98 _let_99 _let_91 _let_102))) :args (_let_102 _let_100 _let_91 _let_99 _let_98))) :args (true _let_134)) :args ((or _let_133 (not _let_100) _let_132 (not _let_99) _let_92 (not _let_98)))) _let_116 _let_114 _let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_128)) :args _let_127)) _let_126 :args (_let_99 false _let_125)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_104 _let_98 (not _let_105)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_117)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_118 _let_121 _let_123) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM _let_124) (SYMM _let_122)) _let_120 :args _let_119) (TRUE_INTRO _let_118))) :args (_let_106 _let_102 _let_100))) :args (_let_102 _let_100 _let_106))) :args (true _let_117)) _let_116 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_3 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_106 false _let_13)) :args (_let_103 false _let_102 false _let_100 false _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_97 _let_3 _let_23 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_105 false _let_6)) :args (_let_98 false _let_103 false _let_105)) :args (_let_92 false _let_102 false _let_100 false _let_91 false _let_99 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_85 _let_89 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73))) _let_74 :args (_let_96 false _let_11)) :args (_let_90 false _let_94 false _let_92 false _let_96)) :args (_let_86 false _let_91 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_3 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_55)) :args _let_54)) _let_53 :args (_let_88 false _let_52)) :args (_let_80 false _let_86 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_23 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73))) _let_74 :args (_let_84 false _let_11)) :args (_let_24 false _let_82 false _let_80 false _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_66 _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_4 _let_71 _let_69 (not _let_72)))) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_77 _let_70 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_45 _let_76 (not _let_79)))) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.identity tptp.identity _let_1 QUANTIFIERS_INST_E_MATCHING _let_49)) :args _let_47)) _let_48 :args (_let_79 false _let_6)) :args (_let_76 false _let_44 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.identity _let_1 _let_2 QUANTIFIERS_INST_E_MATCHING _let_43)) :args _let_41)) _let_42 :args (_let_78 false _let_7)) :args (_let_70 false _let_76 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_3 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73))) _let_74 :args (_let_72 false _let_11)) :args (_let_69 true _let_4 false _let_70 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_1 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X Y) true))))) :args _let_54)) _let_53 :args (_let_68 false _let_52)) :args (_let_67 true _let_66 false _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_21 (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_3 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_59 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_20 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_37)) _let_36 :args (_let_61 false _let_35)) :args (_let_21 false _let_59 false _let_61)) _let_58 _let_31 :args (false false _let_28 false _let_26 false _let_24 true _let_22 false _let_21 false _let_19 false _let_17)) :args (_let_15 _let_14 _let_13 _let_12 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)) _let_11 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 (= _let_1 tptp.b) (= (tptp.divide tptp.identity tptp.b) tptp.c) (= (tptp.divide tptp.identity tptp.c) tptp.d) (not (= tptp.b tptp.d))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.76/0.95 )
% 0.76/0.95 % SZS output end Proof for HEN009-6
% 0.76/0.95 % cvc5---1.0.5 exiting
% 0.76/0.96 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------