%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HEN010-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n016.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 01:54:39 EDT 2023

% Result   : Unsatisfiable 0.22s 0.72s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : HEN010-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Thu Aug 24 14:02:24 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.WR5r8om1n9/cvc5---1.0.5_5240.p...
% 0.22/0.50  ------- get file name : TPTP file name is HEN010-5
% 0.22/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5240.smt2...
% 0.22/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.72  % SZS status Unsatisfiable for HEN010-5
% 0.22/0.72  % SZS output start Proof for HEN010-5
% 0.22/0.73  (
% 0.22/0.73  (let ((_let_1 (tptp.divide tptp.identity tptp.a))) (let ((_let_2 (tptp.divide tptp.identity _let_1))) (let ((_let_3 (tptp.divide _let_1 _let_2))) (let ((_let_4 (= _let_1 _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (= (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) tptp.zero))))) (let ((_let_7 (forall ((X $$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 $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (not (= (tptp.divide Y Z) tptp.zero)) (= (tptp.divide X Z) tptp.zero))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.divide X tptp.identity) tptp.zero)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (not (= (tptp.divide Y X) tptp.zero)) (= X Y))))) (let ((_let_11 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (= (tptp.divide (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z)) tptp.zero)))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.divide (tptp.divide X Y) X) tptp.zero)))) (let ((_let_13 (tptp.divide tptp.identity _let_2))) (let ((_let_14 (= tptp.zero (tptp.divide _let_13 tptp.identity)))) (let ((_let_15 (tptp.divide _let_1 _let_3))) (let ((_let_16 (tptp.divide _let_15 _let_1))) (let ((_let_17 (= tptp.zero _let_16))) (let ((_let_18 (tptp.divide tptp.identity _let_13))) (let ((_let_19 (tptp.divide _let_18 _let_2))) (let ((_let_20 (= tptp.zero _let_19))) (let ((_let_21 (tptp.divide (tptp.divide tptp.identity _let_18) _let_2))) (let ((_let_22 (= tptp.zero (tptp.divide (tptp.divide _let_13 _let_19) _let_21)))) (let ((_let_23 (tptp.divide _let_2 _let_1))) (let ((_let_24 (= _let_2 _let_23))) (let ((_let_25 (= tptp.zero (tptp.divide (tptp.divide _let_1 _let_16) _let_3)))) (let ((_let_26 (= _let_1 _let_13))) (let ((_let_27 (forall ((X $$unsorted) (Y $$unsorted)) (= tptp.zero (tptp.divide (tptp.divide X Y) X))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (_let_27))) (let ((_let_30 ((tptp.divide X Y)))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_1 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_17 false _let_27)))) (let ((_let_32 (= tptp.zero (tptp.divide _let_13 _let_13)))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_20))) (let ((_let_35 (forall ((X $$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_36 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 ((tptp.divide (tptp.divide X Y) Z)))) (let ((_let_39 (= tptp.zero (tptp.divide tptp.identity tptp.identity)))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_32))) (let ((_let_42 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (= tptp.zero (tptp.divide (tptp.divide X Z) (tptp.divide Y Z))))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_42))) (let ((_let_45 ((not (= (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) tptp.zero))))) (let ((_let_46 (forall ((X $$unsorted)) (= tptp.zero (tptp.divide X tptp.identity))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide X tptp.identity) tptp.zero))))) :args (_let_46))) _let_47 :args (_let_39 false _let_46)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_20 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_32 (not _let_41)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.identity tptp.identity _let_2 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_44)) _let_43 :args (_let_41 false _let_42)) :args (_let_32 false _let_39 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.identity _let_2 _let_13 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_37)) _let_36 :args (_let_34 false _let_35)) :args (_let_20 false _let_32 false _let_34)))) (let ((_let_50 (forall ((X $$unsorted) (Z $$unsorted) (Y $$unsorted)) (= tptp.zero (tptp.divide (tptp.divide (tptp.divide X Z) (tptp.divide Y Z)) (tptp.divide (tptp.divide X Y) Z)))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (_let_50))) (let ((_let_53 ((tptp.divide (tptp.divide X Z) (tptp.divide Y Z))))) (let ((_let_54 (tptp.divide _let_2 _let_23))) (let ((_let_55 (= tptp.zero _let_54))) (let ((_let_56 (not _let_55))) (let ((_let_57 (= tptp.zero (tptp.divide _let_23 _let_2)))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56 _let_24))) (let ((_let_60 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (not (= tptp.zero (tptp.divide Y X))) (= X Y))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_60))) (let ((_let_63 ((tptp.divide X Y)))) (let ((_let_64 (tptp.divide _let_13 _let_1))) (let ((_let_65 (= _let_54 _let_64))) (let ((_let_66 (= tptp.zero _let_64))) (let ((_let_67 (= tptp.zero (tptp.divide _let_64 _let_54)))) (let ((_let_68 (not _let_67))) (let ((_let_69 (tptp.divide _let_54 _let_64))) (let ((_let_70 (= tptp.zero _let_69))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_68 _let_65))) (let ((_let_73 (= tptp.zero (tptp.divide _let_69 _let_54)))) (let ((_let_74 (= tptp.zero (tptp.divide _let_3 _let_1)))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.identity _let_1 _let_2 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_52)) _let_51 :args (_let_70 false _let_50)))) (let ((_let_76 (= tptp.zero (tptp.divide _let_2 _let_2)))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_66))) (let ((_let_79 (or _let_40 _let_76))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_77 _let_66 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_40 _let_76 (not _let_79)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.identity tptp.identity _let_1 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_44)) _let_43 :args (_let_79 false _let_42)) :args (_let_76 false _let_39 false _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.identity _let_1 _let_2 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_37)) _let_36 :args (_let_78 false _let_35)) :args (_let_66 false _let_76 false _let_78)))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_74 false _let_27)))) (let ((_let_82 (not _let_66))) (let ((_let_83 (not _let_74))) (let ((_let_84 (and _let_74 _let_70 _let_66 _let_73))) (let ((_let_85 (APPLY_UF tptp.divide))) (let ((_let_86 (ASSUME :args (_let_66)))) (let ((_let_87 (SYMM (SYMM _let_86)))) (let ((_let_88 (ASSUME :args (_let_74)))) (let ((_let_89 (ASSUME :args (_let_70)))) (let ((_let_90 (ASSUME :args (_let_73)))) (let ((_let_91 (and _let_66 _let_65))) (let ((_let_92 (ASSUME :args (_let_65)))) (let ((_let_93 (= tptp.zero (tptp.divide _let_15 _let_16)))) (let ((_let_94 (not _let_25))) (let ((_let_95 (or _let_94 _let_93))) (let ((_let_96 (= _let_15 _let_16))) (let ((_let_97 (not _let_93))) (let ((_let_98 (= tptp.zero (tptp.divide _let_16 _let_15)))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_97 _let_96))) (let ((_let_101 (= tptp.zero _let_15))) (let ((_let_102 (not _let_96))) (let ((_let_103 (not _let_101))) (let ((_let_104 (or _let_83 _let_103 _let_4))) (let ((_let_105 (and _let_103 _let_17))) (let ((_let_106 (ASSUME :args (_let_103)))) (let ((_let_107 (ASSUME :args (_let_17)))) (let ((_let_108 (SYMM (SYMM _let_107)))) (let ((_let_109 (= tptp.zero (tptp.divide _let_1 _let_13)))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_82 _let_110 _let_26))) (let ((_let_112 (= tptp.zero (tptp.divide _let_18 tptp.a)))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_109))) (let ((_let_115 (= tptp.zero (tptp.divide _let_2 tptp.a)))) (let ((_let_116 (not _let_115))) (let ((_let_117 (not _let_20))) (let ((_let_118 (or _let_117 _let_116 _let_112))) (let ((_let_119 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (not (= tptp.zero (tptp.divide Y Z))) (= tptp.zero (tptp.divide X Z)))))) (let ((_let_120 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_121 (= tptp.zero (tptp.divide _let_1 _let_1)))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_122 _let_115))) (let ((_let_124 (or _let_40 _let_121))) (let ((_let_125 (and _let_14 _let_17 _let_24 _let_20 _let_22 _let_26))) (let ((_let_126 (ASSUME :args (_let_24)))) (let ((_let_127 (ASSUME :args (_let_26)))) (let ((_let_128 (SYMM _let_127))) (let ((_let_129 (REFL :args (tptp.identity)))) (let ((_let_130 (ASSUME :args (_let_14)))) (let ((_let_131 (ASSUME :args (_let_20)))) (let ((_let_132 (ASSUME :args (_let_22)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_125)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_127 _let_131 _let_132 _let_126 _let_107 _let_130) (SCOPE (TRANS (SYMM (SYMM _let_132)) (CONG (CONG (REFL :args (_let_13)) (TRANS (SYMM _let_131) _let_130) :args _let_85) (REFL :args (_let_21)) :args _let_85) (CONG (CONG _let_128 (TRANS (SYMM _let_130) _let_108) :args _let_85) (TRANS (CONG (CONG _let_129 (CONG _let_129 _let_128 :args _let_85) :args _let_85) (REFL :args (_let_2)) :args _let_85) (CONG _let_128 _let_126 :args _let_85) (CONG (REFL :args (_let_1)) (SYMM _let_126) :args _let_85)) :args _let_85)) :args (_let_26 _let_20 _let_22 _let_24 _let_17 _let_14))) :args (_let_14 _let_17 _let_24 _let_20 _let_22 _let_26))) :args (true _let_125)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_82 _let_110 _let_26 (not _let_111)))) _let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_109 _let_113 (not _let_114)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_116 _let_117 _let_112 (not _let_118)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_122 _let_115 (not _let_123)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_121 _let_40 (not _let_124)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.identity tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_44)) _let_43 :args (_let_124 false _let_42)) :args (_let_121 false _let_39 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.identity tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_37)) _let_36 :args (_let_123 false _let_35)) :args (_let_115 false _let_121 false _let_123)) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_18 _let_2 tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.divide X Y) (tptp.divide Y Z)))) :args (_let_119))) _let_120 :args (_let_118 false _let_119)) :args (_let_112 false _let_115 false _let_20 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.identity _let_13 tptp.a QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_37)) _let_36 :args (_let_114 false _let_35)) :args (_let_109 false _let_112 false _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_13 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62))) _let_61 :args (_let_111 false _let_60)) :args (_let_26 false _let_66 false _let_109 false _let_111)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_93 _let_94 (not _let_95)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_99 _let_97 _let_96 (not _let_100)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_15 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_98 false _let_27)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_105)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_107 _let_106) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (SYMM _let_108) (REFL :args (_let_15)) :args (=)) (FALSE_INTRO _let_106)) :args ((= _let_96 false)))) :args (_let_17 _let_103))) :args (_let_103 _let_17))) :args (true _let_105)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_103) _let_101))) (REFL :args ((not _let_17))) (REFL :args (_let_102)) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_4 _let_83 _let_103 (not _let_104)))) (ASSUME :args (_let_5)) _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_3 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62))) _let_61 :args (_let_104 false _let_60)) :args (_let_103 true _let_4 false _let_74 false _let_104)) _let_31 :args (_let_102 true _let_101 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_16 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62))) _let_61 :args (_let_100 false _let_60)) :args (_let_97 false _let_98 true _let_96 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_1 _let_16 _let_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.divide (tptp.divide X Z) Y) tptp.zero))))) :args _let_37)) _let_36 :args (_let_95 false _let_35)) :args (_let_94 true _let_93 false _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_56 _let_24 (not _let_59)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_57 false _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_91)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_92 _let_86) (SCOPE (TRANS _let_87 (SYMM _let_92)) :args (_let_65 _let_66))) :args (_let_66 _let_65))) :args (true _let_91)) :args ((or _let_55 _let_82 (not _let_65)))) _let_80 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_71 _let_68 _let_65 (not _let_72)))) _let_75 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_84)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_86 _let_88 _let_89 _let_90) (SCOPE (TRANS (SYMM (SYMM _let_90)) (CONG (TRANS (TRANS (SYMM _let_89) _let_88) (TRANS (SYMM _let_88) _let_87)) (REFL :args (_let_54)) :args _let_85)) :args (_let_66 _let_74 _let_70 _let_73))) :args (_let_74 _let_70 _let_66 _let_73))) :args (true _let_84)) :args ((or _let_83 _let_82 _let_71 _let_67 (not _let_73)))) _let_81 _let_80 _let_75 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_54 _let_64 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_73 false _let_27)) :args (_let_67 false _let_74 false _let_66 false _let_70 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_54 _let_64 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_72 false _let_60)) :args (_let_65 false _let_70 false _let_67 false _let_72)) :args (_let_55 false _let_66 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_23 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62))) _let_61 :args (_let_59 false _let_60)) :args (_let_24 false _let_57 false _let_55 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.identity _let_2 _let_18 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_52)) _let_51 :args (_let_22 false _let_50)) _let_49 _let_31 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.identity _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_14 false _let_27)) :args (false false _let_26 true _let_25 false _let_24 false _let_22 false _let_20 false _let_17 false _let_14)) :args (_let_12 _let_11 (forall ((X $$unsorted)) (= (tptp.divide tptp.zero X) tptp.zero)) _let_10 _let_9 _let_8 _let_7 _let_6 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.73  )
% 0.22/0.73  % SZS output end Proof for HEN010-5
% 0.22/0.73  % cvc5---1.0.5 exiting
% 0.22/0.73  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------