TSTP Solution File: HEN009-5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HEN009-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 01:54:37 EDT 2023
% Result : Unsatisfiable 2.37s 2.57s
% Output : Proof 2.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : HEN009-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 13:23:00 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.vVGm69mdvQ/cvc5---1.0.5_16622.p...
% 0.20/0.49 ------- get file name : TPTP file name is HEN009-5
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16622.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.37/2.57 % SZS status Unsatisfiable for HEN009-5
% 2.37/2.57 % SZS output start Proof for HEN009-5
% 2.37/2.58 (
% 2.37/2.58 (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 $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (= (tptp.divide (tptp.divide Z Y) (tptp.divide Z X)) tptp.zero))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.divide (tptp.divide X Y) Z) tptp.zero)) (= (tptp.divide (tptp.divide X Z) Y) tptp.zero))))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.divide X tptp.identity) tptp.zero)))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (not (= (tptp.divide Y X) tptp.zero)) (= X Y))))) (let ((_let_10 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (= (tptp.divide (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z)) tptp.zero)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.divide (tptp.divide X Y) X) tptp.zero)))) (let ((_let_12 (tptp.divide tptp.identity tptp.identity))) (let ((_let_13 (tptp.divide tptp.identity _let_12))) (let ((_let_14 (tptp.divide _let_13 _let_1))) (let ((_let_15 (tptp.divide tptp.identity _let_14))) (let ((_let_16 (= tptp.zero (tptp.divide _let_1 _let_15)))) (let ((_let_17 (= tptp.zero (tptp.divide (tptp.divide tptp.identity _let_15) tptp.a)))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= tptp.zero (tptp.divide (tptp.divide X Y) Z))) (= tptp.zero (tptp.divide (tptp.divide X Z) Y)))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (_let_20))) (let ((_let_23 ((not (= (tptp.divide (tptp.divide X Z) Y) tptp.zero))))) (let ((_let_24 (= tptp.zero (tptp.divide _let_1 _let_3)))) (let ((_let_25 (tptp.divide tptp.a tptp.a))) (let ((_let_26 (tptp.divide _let_1 _let_25))) (let ((_let_27 (tptp.divide _let_1 tptp.a))) (let ((_let_28 (= _let_27 _let_26))) (let ((_let_29 (= _let_1 _let_27))) (let ((_let_30 (= _let_2 _let_14))) (let ((_let_31 (tptp.divide _let_25 tptp.identity))) (let ((_let_32 (= _let_25 _let_31))) (let ((_let_33 (= tptp.zero _let_31))) (let ((_let_34 (= tptp.zero _let_12))) (let ((_let_35 (= tptp.zero (tptp.divide _let_12 tptp.a)))) (let ((_let_36 (tptp.divide _let_1 tptp.identity))) (let ((_let_37 (= tptp.zero _let_36))) (let ((_let_38 (not _let_16))) (let ((_let_39 (not _let_24))) (let ((_let_40 (= tptp.zero (tptp.divide _let_3 _let_1)))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39 _let_4))) (let ((_let_43 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (not (= tptp.zero (tptp.divide Y X))) (= X Y))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_43))) (let ((_let_46 ((tptp.divide X Y)))) (let ((_let_47 (tptp.divide _let_2 _let_2))) (let ((_let_48 (= tptp.zero _let_47))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_40))) (let ((_let_51 ((tptp.divide (tptp.divide X Y) Z)))) (let ((_let_52 (= _let_12 _let_47))) (let ((_let_53 (= tptp.zero (tptp.divide _let_12 _let_47)))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.divide _let_47 _let_12))) (let ((_let_56 (= tptp.zero _let_55))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_54 _let_52))) (let ((_let_59 (= tptp.zero (tptp.divide _let_55 _let_47)))) (let ((_let_60 (tptp.divide _let_3 tptp.identity))) (let ((_let_61 (= tptp.zero _let_60))) (let ((_let_62 (forall ((X $$unsorted) (Y $$unsorted)) (= tptp.zero (tptp.divide (tptp.divide X Y) X))))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (_let_62))) (let ((_let_65 ((tptp.divide X Y)))) (let ((_let_66 (tptp.divide _let_2 _let_12))) (let ((_let_67 (= tptp.zero (tptp.divide _let_66 _let_2)))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_56))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_56 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_2 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_67 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_2 _let_12 _let_2 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_22)) _let_21 :args (_let_69 false _let_20)) :args (_let_56 false _let_67 false _let_69)))) (let ((_let_71 (forall ((X $$unsorted)) (= tptp.zero (tptp.divide X tptp.identity))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide X tptp.identity) tptp.zero))))) :args (_let_71))) _let_72 :args (_let_34 false _let_71)))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.identity _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_61 false _let_62)))) (let ((_let_75 (not _let_34))) (let ((_let_76 (not _let_61))) (let ((_let_77 (and _let_61 _let_34 _let_56 _let_59))) (let ((_let_78 (APPLY_UF tptp.divide))) (let ((_let_79 (ASSUME :args (_let_34)))) (let ((_let_80 (SYMM _let_79))) (let ((_let_81 (SYMM _let_80))) (let ((_let_82 (ASSUME :args (_let_61)))) (let ((_let_83 (SYMM _let_82))) (let ((_let_84 (TRANS _let_83 _let_81))) (let ((_let_85 (ASSUME :args (_let_56)))) (let ((_let_86 (ASSUME :args (_let_59)))) (let ((_let_87 (and _let_34 _let_52))) (let ((_let_88 (ASSUME :args (_let_52)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_40 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_87)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_88 _let_79) (SCOPE (TRANS _let_81 (SYMM (SYMM _let_88))) :args (_let_52 _let_34))) :args (_let_34 _let_52))) :args (true _let_87)) :args ((or _let_75 _let_48 (not _let_52)))) _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_54 _let_52 (not _let_58)))) _let_70 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_79 _let_82 _let_85 _let_86) (SCOPE (TRANS (SYMM (SYMM _let_86)) (CONG (TRANS (TRANS (SYMM _let_85) _let_82) _let_84) (REFL :args (_let_47)) :args _let_78)) :args (_let_34 _let_61 _let_56 _let_59))) :args (_let_61 _let_34 _let_56 _let_59))) :args (true _let_77)) :args ((or _let_76 _let_75 _let_57 _let_53 (not _let_59)))) _let_74 _let_73 _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_47 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_59 false _let_62)) :args (_let_53 false _let_61 false _let_34 false _let_56 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_47 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45))) _let_44 :args (_let_58 false _let_43)) :args (_let_52 false _let_56 false _let_53 false _let_58)) :args (_let_48 false _let_34 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.identity _let_1 _let_2 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_22)) _let_21 :args (_let_50 false _let_20)) :args (_let_40 false _let_48 false _let_50)))) (let ((_let_90 (= tptp.zero (tptp.divide _let_27 _let_26)))) (let ((_let_91 (not _let_90))) (let ((_let_92 (= tptp.zero (tptp.divide _let_26 _let_27)))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_91 _let_28))) (let ((_let_95 (= tptp.zero (tptp.divide _let_27 (tptp.divide _let_1 _let_12))))) (let ((_let_96 (not _let_35))) (let ((_let_97 (or _let_96 _let_95))) (let ((_let_98 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (= tptp.zero (tptp.divide (tptp.divide Z Y) (tptp.divide Z X))))))) (let ((_let_99 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_100 (_let_98))) (let ((_let_101 ((not (= (tptp.divide (tptp.divide Z Y) (tptp.divide Z X)) tptp.zero))))) (let ((_let_102 (not _let_37))) (let ((_let_103 (or _let_102 _let_35))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_37 false _let_62)))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_102 _let_35 (not _let_103)))) _let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.identity tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_22)) _let_21 :args (_let_103 false _let_20)) :args (_let_35 false _let_37 false _let_103)))) (let ((_let_106 (= tptp.zero (tptp.divide _let_25 _let_31)))) (let ((_let_107 (not _let_106))) (let ((_let_108 (= tptp.zero (tptp.divide _let_31 _let_25)))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_109 _let_107 _let_32))) (let ((_let_111 (= tptp.zero (tptp.divide _let_25 _let_12)))) (let ((_let_112 (= tptp.zero (tptp.divide (tptp.divide tptp.a _let_12) tptp.a)))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_111))) (let ((_let_115 (= tptp.zero (tptp.divide (tptp.divide tptp.a tptp.identity) tptp.a)))) (let ((_let_116 (not _let_115))) (let ((_let_117 (or _let_116 _let_33))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_116 _let_33 (not _let_117)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_115 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.a tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_22)) _let_21 :args (_let_117 false _let_20)) :args (_let_33 false _let_115 false _let_117)))) (let ((_let_119 (not _let_33))) (let ((_let_120 (and _let_34 _let_33 _let_111))) (let ((_let_121 (ASSUME :args (_let_33)))) (let ((_let_122 (SYMM (SYMM _let_121)))) (let ((_let_123 (ASSUME :args (_let_111)))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_109 _let_107 _let_32 (not _let_110)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_25 tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_108 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_120)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_121 _let_79 _let_123) (SCOPE (TRANS (SYMM (SYMM _let_123)) (CONG (REFL :args (_let_25)) (TRANS _let_80 _let_122) :args _let_78)) :args (_let_33 _let_34 _let_111))) :args (_let_34 _let_33 _let_111))) :args (true _let_120)) :args ((or _let_75 _let_119 _let_106 (not _let_111)))) _let_73 _let_118 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_113 _let_111 (not _let_114)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.a _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_112 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.a _let_12 tptp.a QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_22)) _let_21 :args (_let_114 false _let_20)) :args (_let_111 false _let_112 false _let_114)) :args (_let_106 false _let_34 false _let_33 false _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_31 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45))) _let_44 :args (_let_110 false _let_43)) :args (_let_32 false _let_108 false _let_106 false _let_110)))) (let ((_let_125 (not _let_32))) (let ((_let_126 (and _let_37 _let_34 _let_33 _let_32 _let_95))) (let ((_let_127 (ASSUME :args (_let_32)))) (let ((_let_128 (SYMM _let_127))) (let ((_let_129 (ASSUME :args (_let_37)))) (let ((_let_130 (SYMM _let_129))) (let ((_let_131 (REFL :args (_let_1)))) (let ((_let_132 (CONG _let_131 (TRANS _let_130 _let_122 _let_128) :args _let_78))) (let ((_let_133 (CONG _let_131 (TRANS _let_80 _let_129) :args _let_78))) (let ((_let_134 (ASSUME :args (_let_95)))) (let ((_let_135 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z)))))) (let ((_let_136 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (_let_135))) (let ((_let_138 ((tptp.divide (tptp.divide X Z) (tptp.divide Y Z))))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_93 _let_91 _let_28 (not _let_94)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (tptp.identity tptp.a tptp.a QUANTIFIERS_INST_E_MATCHING _let_138)) :args _let_137)) _let_136 :args (_let_92 false _let_135)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_126)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_127 _let_121 _let_129 _let_79 _let_134) (SCOPE (TRANS (SYMM (SYMM _let_134)) (CONG (REFL :args (_let_27)) (TRANS _let_133 _let_132) :args _let_78)) :args (_let_32 _let_33 _let_37 _let_34 _let_95))) :args (_let_37 _let_34 _let_33 _let_32 _let_95))) :args (true _let_126)) :args ((or _let_102 _let_75 _let_119 _let_125 _let_90 (not _let_95)))) _let_104 _let_73 _let_118 _let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_96 _let_95 (not _let_97)))) _let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_12 tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_100)) _let_99 :args (_let_97 false _let_98)) :args (_let_95 false _let_35 false _let_97)) :args (_let_90 false _let_37 false _let_34 false _let_33 false _let_32 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_26 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45))) _let_44 :args (_let_94 false _let_43)) :args (_let_28 false _let_92 false _let_90 false _let_94)))) (let ((_let_140 (tptp.divide _let_1 _let_27))) (let ((_let_141 (= tptp.zero _let_140))) (let ((_let_142 (not _let_141))) (let ((_let_143 (= tptp.zero (tptp.divide _let_27 _let_1)))) (let ((_let_144 (not _let_143))) (let ((_let_145 (or _let_144 _let_142 _let_29))) (let ((_let_146 (= _let_12 _let_140))) (let ((_let_147 (= tptp.zero (tptp.divide _let_12 _let_140)))) (let ((_let_148 (not _let_147))) (let ((_let_149 (= tptp.zero (tptp.divide _let_140 _let_12)))) (let ((_let_150 (not _let_149))) (let ((_let_151 (or _let_150 _let_148 _let_146))) (let ((_let_152 (tptp.divide _let_140 _let_1))) (let ((_let_153 (= tptp.zero (tptp.divide _let_152 _let_140)))) (let ((_let_154 (= tptp.zero _let_152))) (let ((_let_155 (and _let_61 _let_34 _let_154 _let_153))) (let ((_let_156 (REFL :args (_let_140)))) (let ((_let_157 (ASSUME :args (_let_154)))) (let ((_let_158 (ASSUME :args (_let_153)))) (let ((_let_159 (tptp.divide _let_2 tptp.a))) (let ((_let_160 (= tptp.zero (tptp.divide _let_140 _let_159)))) (let ((_let_161 (= tptp.zero _let_159))) (let ((_let_162 (= tptp.zero (tptp.divide _let_1 _let_1)))) (let ((_let_163 (not _let_162))) (let ((_let_164 (or _let_163 _let_161))) (let ((_let_165 (= tptp.zero 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(_let_3 _let_60 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_280 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_3 _let_60 _let_3 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_22)) _let_21 :args (_let_282 false _let_20)) :args (_let_276 false _let_280 false _let_282)))) (let ((_let_284 (and _let_61 _let_276 _let_279))) (let ((_let_285 (_let_61 _let_276 _let_279))) (let ((_let_286 (SYMM _let_83))) (let ((_let_287 (ASSUME :args (_let_276)))) (let ((_let_288 (ASSUME :args (_let_279)))) (let ((_let_289 (and _let_61 _let_272))) (let ((_let_290 (ASSUME :args (_let_272)))) (let ((_let_291 (and _let_37 _let_34 _let_33 _let_161 _let_32 _let_30 _let_29 _let_261 _let_28))) (let ((_let_292 (ASSUME :args (_let_261)))) (let ((_let_293 (CONG _let_202 (SYMM _let_292) :args _let_78))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_16 _let_18 (not _let_19)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_291)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_258 _let_247 _let_249 _let_127 _let_121 _let_129 _let_79 _let_292 _let_172) (SCOPE (TRANS _let_173 (CONG (TRANS _let_257 (TRANS _let_256 _let_292 (CONG _let_202 (SYMM _let_293) :args _let_78) (CONG _let_202 (TRANS _let_293 (CONG _let_202 _let_257 :args _let_78) (CONG _let_202 (TRANS _let_256 _let_259) :args _let_78)) :args _let_78))) _let_253 :args _let_78)) :args (_let_30 _let_29 _let_28 _let_32 _let_33 _let_37 _let_34 _let_261 _let_161))) :args (_let_37 _let_34 _let_33 _let_161 _let_32 _let_30 _let_29 _let_261 _let_28))) :args (true _let_291)) _let_104 _let_73 _let_118 _let_169 _let_124 _let_241 _let_177 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_266)) :args ((or _let_265 _let_263 _let_261 (not _let_266)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_271)) :args ((or _let_270 _let_264 (not _let_271)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_289)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_290 _let_82) (SCOPE (TRANS _let_286 (SYMM (SYMM _let_290))) :args (_let_272 _let_61))) :args (_let_61 _let_272))) :args (true _let_289)) :args ((or _let_76 _let_269 (not _let_272)))) _let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_278)) :args ((or _let_277 _let_274 _let_272 (not _let_278)))) _let_283 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_284)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_82 _let_287 _let_288) (SCOPE (TRANS (SYMM (SYMM _let_288)) (CONG (TRANS (SYMM _let_287) _let_286) (REFL :args (_let_268)) :args _let_78)) :args _let_285)) :args _let_285)) :args (true _let_284)) :args ((or _let_76 _let_277 _let_273 (not _let_279)))) _let_74 _let_283 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (_let_268 _let_60 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_279 false _let_62)) :args (_let_273 false _let_61 false _let_276 false _let_279)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_268 _let_60 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45))) _let_44 :args (_let_278 false _let_43)) :args (_let_272 false _let_276 false _let_273 false _let_278)) :args (_let_269 false _let_61 false _let_272)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.identity _let_2 _let_3 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_22)) _let_21 :args (_let_271 false _let_20)) :args (_let_264 false _let_269 false _let_271)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_267)) :args ((or _let_41 _let_262 (not _let_267)))) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_3 _let_1 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_100)) _let_99 :args (_let_267 false _let_98)) :args (_let_262 false _let_40 false _let_267)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_260 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45))) _let_44 :args (_let_266 false _let_43)) :args (_let_261 false _let_264 false _let_262 false _let_266)) _let_139 :args (_let_17 false _let_37 false _let_34 false _let_33 false _let_161 false _let_32 false _let_30 false _let_29 false _let_261 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_245)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_246 _let_247 _let_249 _let_127 _let_121 _let_129 _let_251 _let_79 _let_258) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.zero)) (SYMM (TRANS _let_255 (SYMM (TRANS (CONG _let_254 (TRANS (CONG _let_202 (TRANS (SYMM _let_259) _let_257) :args _let_78) (CONG _let_202 _let_256 :args _let_78)) :args _let_78) _let_255)) (SYMM (CONG (SYMM _let_254) (REFL :args (_let_15)) :args _let_78)))) :args (=)) (FALSE_INTRO _let_246))) :args (_let_39 _let_29 _let_28 _let_32 _let_33 _let_37 _let_35 _let_34 _let_30))) :args (_let_37 _let_35 _let_34 _let_33 _let_32 _let_30 _let_29 _let_28 _let_39))) :args (true _let_245)) (CONG (REFL :args (_let_102)) (REFL :args (_let_96)) (REFL :args (_let_75)) (REFL :args (_let_119)) (REFL :args (_let_125)) (REFL :args (_let_244)) (REFL :args (_let_243)) (REFL :args (_let_242)) (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_24))) (REFL :args (_let_38)) :args (or))) :args ((or _let_102 _let_96 _let_75 _let_119 _let_125 _let_244 _let_243 _let_38 _let_242 _let_24))) _let_104 _let_105 _let_73 _let_118 _let_124 _let_241 _let_177 _let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_4 _let_41 _let_39 (not _let_42)))) (ASSUME :args (_let_5)) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_3 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_46)) :args _let_45))) _let_44 :args (_let_42 false _let_43)) :args (_let_39 true _let_4 false _let_40 false _let_42)) :args (_let_38 false _let_37 false _let_35 false _let_34 false _let_33 false _let_32 false _let_30 false _let_29 false _let_28 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.identity _let_15 tptp.a QUANTIFIERS_INST_E_MATCHING _let_23)) :args _let_22)) _let_21 :args (_let_19 false _let_20)) :args (false false _let_17 true _let_16 false _let_19)) :args (_let_11 _let_10 (forall ((X $$unsorted)) (= (tptp.divide tptp.zero X) tptp.zero)) _let_9 _let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (not (= (tptp.divide Y Z) tptp.zero)) (= (tptp.divide X Z) tptp.zero))) _let_7 _let_6 _let_5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.37/2.58 )
% 2.37/2.58 % SZS output end Proof for HEN009-5
% 2.37/2.58 % cvc5---1.0.5 exiting
% 2.37/2.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------