TSTP Solution File: HEN004-3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HEN004-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 01:54:31 EDT 2023

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : HEN004-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n008.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 13:26:32 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.p4A3nFtMdO/cvc5---1.0.5_13192.p...
% 0.21/0.49  ------- get file name : TPTP file name is HEN004-3
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13192.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55  % SZS status Unsatisfiable for HEN004-3
% 0.21/0.55  % SZS output start Proof for HEN004-3
% 0.21/0.56  (
% 0.21/0.56  (let ((_let_1 (tptp.divide tptp.a tptp.zero))) (let ((_let_2 (not (= _let_1 tptp.a)))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_4 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)))) (let ((_let_5 (forall ((X $$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_6 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))))) (let ((_let_9 (tptp.divide _let_1 tptp.a))) (let ((_let_10 (= tptp.zero _let_9))) (let ((_let_11 (= tptp.zero (tptp.divide tptp.a _let_1)))) (let ((_let_12 (tptp.divide tptp.zero tptp.a))) (let ((_let_13 (= tptp.zero _let_12))) (let ((_let_14 (tptp.divide (tptp.divide tptp.a tptp.a) _let_12))) (let ((_let_15 (= _let_9 _let_14))) (let ((_let_16 (tptp.divide tptp.a _let_12))) (let ((_let_17 (tptp.divide _let_16 _let_16))) (let ((_let_18 (= _let_14 _let_17))) (let ((_let_19 (tptp.divide _let_12 _let_16))) (let ((_let_20 (tptp.divide tptp.a _let_16))) (let ((_let_21 (tptp.divide _let_20 _let_19))) (let ((_let_22 (= _let_17 _let_21))) (let ((_let_23 (= _let_20 _let_21))) (let ((_let_24 (tptp.less_equal _let_1 tptp.a))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_10))) (let ((_let_27 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (_let_27))) (let ((_let_30 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_31 (_let_6))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 ((tptp.divide X Y)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.a tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_24 false _let_6)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_10 (not _let_26)))) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_26 false _let_27)) :args (_let_10 false _let_24 false _let_26)))) (let ((_let_36 (tptp.less_equal tptp.a _let_1))) (let ((_let_37 (not _let_11))) (let ((_let_38 (or _let_37 _let_36))) (let ((_let_39 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= tptp.zero (tptp.divide X Y))) (tptp.less_equal X Y))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (_let_39))) (let ((_let_42 (= tptp.a _let_1))) (let ((_let_43 (not _let_36))) (let ((_let_44 (or _let_25 _let_43 _let_42))) (let ((_let_45 (_let_3))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_48 (tptp.less_equal tptp.zero tptp.a))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_13))) (let ((_let_51 (_let_4))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_13 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal tptp.zero X) true))))) :args _let_51)) _let_52 :args (_let_48 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.zero tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.divide X Y) tptp.zero))))) :args _let_29)) _let_28 :args (_let_50 false _let_27)) :args (_let_13 false _let_48 false _let_50)))) (let ((_let_54 (tptp.less_equal _let_9 _let_14))) (let ((_let_55 (not _let_54))) (let ((_let_56 (tptp.less_equal _let_14 _let_9))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_55 _let_15))) (let ((_let_59 (tptp.divide _let_14 _let_9))) (let ((_let_60 (tptp.less_equal _let_59 _let_14))) (let ((_let_61 (= tptp.zero _let_59))) (let ((_let_62 (or _let_57 _let_61))) (let ((_let_63 (_let_5))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 ((tptp.divide (tptp.divide X Y) Z)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.a tptp.a tptp.zero QUANTIFIERS_INST_E_MATCHING _let_65)) :args _let_63)) _let_64 :args (_let_56 false _let_5)))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_57 _let_61 (not _let_62)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_14 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_62 false _let_27)) :args (_let_61 false _let_56 false _let_62)))) (let ((_let_68 (not _let_61))) (let ((_let_69 (not _let_10))) (let ((_let_70 (and _let_10 _let_61 _let_60))) (let ((_let_71 (ASSUME :args (_let_60)))) (let ((_let_72 (APPLY_UF tptp.less_equal))) (let ((_let_73 (ASSUME :args (_let_61)))) (let ((_let_74 (SYMM _let_73))) (let ((_let_75 (ASSUME :args (_let_10)))) (let ((_let_76 (SYMM (SYMM _let_75)))) (let ((_let_77 (SYMM _let_76))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_55 _let_15 (not _let_58)))) _let_66 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_70)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_71 _let_73 _let_75) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_77 (SYMM _let_74)) (REFL :args (_let_14)) :args _let_72) (TRUE_INTRO _let_71))) :args (_let_60 _let_61 _let_10))) :args (_let_10 _let_61 _let_60))) :args (true _let_70)) :args ((or _let_69 _let_54 _let_68 (not _let_60)))) _let_35 _let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_14 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_60 false _let_6)) :args (_let_54 false _let_10 false _let_61 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_14 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45))) _let_46 :args (_let_58 false _let_3)) :args (_let_15 false _let_56 false _let_54 false _let_58)))) (let ((_let_79 (tptp.less_equal _let_14 _let_17))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.less_equal _let_17 _let_14))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_80 _let_18))) (let ((_let_84 (tptp.divide _let_17 _let_14))) (let ((_let_85 (tptp.less_equal _let_84 _let_17))) (let ((_let_86 (= tptp.zero _let_84))) (let ((_let_87 (or _let_82 _let_86))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.a _let_12 tptp.a QUANTIFIERS_INST_E_MATCHING _let_65)) :args _let_63)) _let_64 :args (_let_81 false _let_5)))) (let ((_let_89 (not _let_15))) (let ((_let_90 (and _let_10 _let_15 _let_86 _let_85))) (let ((_let_91 (ASSUME :args (_let_85)))) (let ((_let_92 (ASSUME :args (_let_86)))) (let ((_let_93 (ASSUME :args (_let_15)))) (let ((_let_94 (SYMM (SYMM _let_93)))) (let ((_let_95 (SYMM _let_94))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_80 _let_18 (not _let_83)))) _let_88 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_90)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_91 _let_92 _let_75 _let_93) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_95 (TRANS _let_77 (SYMM (SYMM _let_92)))) (REFL :args (_let_17)) :args _let_72) (TRUE_INTRO _let_91))) :args (_let_85 _let_86 _let_10 _let_15))) :args (_let_10 _let_15 _let_86 _let_85))) :args (true _let_90)) :args ((or _let_69 _let_89 _let_79 (not _let_86) (not _let_85)))) _let_35 _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_82 _let_86 (not _let_87)))) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_17 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_87 false _let_27)) :args (_let_86 false _let_81 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_17 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_85 false _let_6)) :args (_let_79 false _let_10 false _let_15 false _let_86 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_17 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45))) _let_46 :args (_let_83 false _let_3)) :args (_let_18 false _let_81 false _let_79 false _let_83)))) (let ((_let_97 (tptp.less_equal _let_17 _let_21))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.less_equal _let_21 _let_17))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_98 _let_22))) (let ((_let_102 (tptp.divide _let_21 _let_17))) (let ((_let_103 (tptp.less_equal _let_102 _let_21))) (let ((_let_104 (= tptp.zero _let_102))) (let ((_let_105 (or _let_100 _let_104))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.a _let_16 _let_12 QUANTIFIERS_INST_E_MATCHING _let_65)) :args _let_63)) _let_64 :args (_let_99 false _let_5)))) (let ((_let_107 (not _let_18))) (let ((_let_108 (and _let_10 _let_15 _let_18 _let_104 _let_103))) (let ((_let_109 (ASSUME :args (_let_103)))) (let ((_let_110 (ASSUME :args (_let_104)))) (let ((_let_111 (ASSUME :args (_let_18)))) (let ((_let_112 (SYMM (SYMM _let_111)))) (let ((_let_113 (SYMM _let_112))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_100 _let_98 _let_22 (not _let_101)))) _let_106 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_108)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_109 _let_110 _let_75 _let_93 _let_111) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS _let_113 _let_95) (TRANS _let_77 (SYMM (SYMM _let_110)))) (REFL :args (_let_21)) :args _let_72) (TRUE_INTRO _let_109))) :args (_let_103 _let_104 _let_10 _let_15 _let_18))) :args (_let_10 _let_15 _let_18 _let_104 _let_103))) :args (true _let_108)) :args ((or _let_69 _let_89 _let_107 _let_97 (not _let_104) (not _let_103)))) _let_35 _let_78 _let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_100 _let_104 (not _let_105)))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_21 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_105 false _let_27)) :args (_let_104 false _let_99 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_21 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_103 false _let_6)) :args (_let_97 false _let_10 false _let_15 false _let_18 false _let_104 false _let_103)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_21 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45))) _let_46 :args (_let_101 false _let_3)) :args (_let_22 false _let_99 false _let_97 false _let_101)))) (let ((_let_115 (tptp.less_equal _let_20 _let_21))) (let ((_let_116 (not _let_115))) (let ((_let_117 (tptp.less_equal _let_21 _let_20))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_116 _let_23))) (let ((_let_120 (tptp.less_equal _let_20 _let_19))) (let ((_let_121 (= tptp.zero (tptp.divide _let_9 _let_1)))) (let ((_let_122 (= tptp.zero _let_21))) (let ((_let_123 (not _let_122))) (let ((_let_124 (or _let_123 _let_120))) (let ((_let_125 (not _let_22))) (let ((_let_126 (and _let_10 _let_15 _let_18 _let_22))) (let ((_let_127 (ASSUME :args (_let_22)))) (let ((_let_128 (SYMM (SYMM _let_127)))) (let ((_let_129 (tptp.less_equal _let_9 _let_1))) (let ((_let_130 (not _let_129))) (let ((_let_131 (or _let_130 _let_121))) (let ((_let_132 (not _let_13))) (let ((_let_133 (and _let_10 _let_121 _let_61 _let_13 _let_15 _let_18 _let_120 _let_22))) (let ((_let_134 (ASSUME :args (_let_120)))) (let ((_let_135 (APPLY_UF tptp.divide))) (let ((_let_136 (ASSUME :args (_let_13)))) (let ((_let_137 (SYMM _let_136))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (REFL :args (tptp.a)))) (let ((_let_140 (ASSUME :args (_let_121)))) (let ((_let_141 (and _let_10 _let_13 _let_15 _let_18 _let_22 _let_23))) (let ((_let_142 (ASSUME :args (_let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_141)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_136 _let_142 _let_127 _let_111 _let_93 _let_75) (SCOPE (TRANS _let_76 _let_94 _let_112 _let_128 (SYMM _let_142) (CONG _let_139 (CONG _let_139 _let_137 :args _let_135) :args _let_135)) :args (_let_13 _let_23 _let_22 _let_18 _let_15 _let_10))) :args (_let_10 _let_13 _let_15 _let_18 _let_22 _let_23))) :args (true _let_141)) :args ((or _let_69 _let_11 _let_132 _let_89 _let_107 _let_125 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_118 _let_116 _let_23 (not _let_119)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_20 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_117 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_133)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_134 _let_136 _let_73 _let_75 _let_140 _let_93 _let_111 _let_127) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_20)) (TRANS (SYMM _let_128) _let_113 _let_95 _let_77 (SYMM (SYMM _let_140)) (CONG (TRANS _let_77 _let_73) (REFL :args (_let_1)) :args _let_135) (CONG (TRANS _let_74 _let_138) (CONG _let_139 _let_138 :args _let_135) :args _let_135)) :args _let_72) (TRUE_INTRO _let_134))) :args (_let_120 _let_13 _let_61 _let_10 _let_121 _let_15 _let_18 _let_22))) :args (_let_10 _let_121 _let_61 _let_13 _let_15 _let_18 _let_120 _let_22))) :args (true _let_133)) :args ((or _let_69 _let_132 (not _let_121) _let_68 _let_89 _let_107 (not _let_120) _let_125 _let_115))) _let_35 _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_130 _let_121 (not _let_131)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_31)) _let_32 :args (_let_129 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_9 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_131 false _let_27)) :args (_let_121 false _let_129 false _let_131)) _let_67 _let_78 _let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_120 _let_123 (not _let_124)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_126)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_127 _let_111 _let_93 _let_75) (SCOPE (TRANS _let_76 _let_94 _let_112 _let_128) :args (_let_22 _let_18 _let_15 _let_10))) :args (_let_10 _let_15 _let_18 _let_22))) :args (true _let_126)) :args ((or _let_69 _let_89 _let_107 _let_122 _let_125))) _let_35 _let_78 _let_96 _let_114 :args (_let_122 false _let_10 false _let_15 false _let_18 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_20 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.divide X Y)))) :args _let_41)) _let_40 :args (_let_124 false _let_39)) :args (_let_120 false _let_122 false _let_124)) _let_114 :args (_let_115 false _let_10 false _let_13 false _let_121 false _let_61 false _let_15 false _let_18 false _let_120 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_21 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45))) _let_46 :args (_let_119 false _let_3)) :args (_let_23 false _let_117 false _let_115 false _let_119)) _let_114 _let_96 _let_78 _let_53 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_36 _let_37 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_42 _let_25 _let_43 (not _let_44)))) (SYMM (ASSUME :args (_let_2))) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_47)) :args _let_45))) _let_46 :args (_let_44 false _let_3)) :args (_let_43 true _let_42 false _let_24 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less_equal X Y) true))))) :args _let_41)) _let_40 :args (_let_38 false _let_39)) :args (_let_37 true _let_36 false _let_38)) _let_35 :args (false false _let_23 false _let_22 false _let_18 false _let_15 false _let_13 true _let_11 false _let_10)) :args (_let_8 _let_7 _let_6 _let_5 _let_4 _let_3 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.56  )
% 0.21/0.56  % SZS output end Proof for HEN004-3
% 0.21/0.57  % cvc5---1.0.5 exiting
% 0.21/0.57  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------