TSTP Solution File: HEN007-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HEN007-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 01:54:35 EDT 2023
% Result : Unsatisfiable 235.97s 236.49s
% Output : Proof 236.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : HEN007-3 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n010.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 13:25:21 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.sUMo3FxLIR/cvc5---1.0.5_3659.p...
% 0.22/0.52 ------- get file name : TPTP file name is HEN007-3
% 0.22/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_3659.smt2...
% 0.22/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.80/11.21 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.89/16.25 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.90/21.29 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.96/26.33 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 31.05/31.44 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 36.10/36.48 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 41.17/41.57 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.28/46.66 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.36/51.77 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.42/56.87 --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.54/61.96 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.60/67.04 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.70/77.13 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 86.83/87.24 --- Run --no-cbqi --full-saturate-quant at 10...
% 97.10/97.59 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 235.97/236.49 % SZS status Unsatisfiable for HEN007-3
% 235.97/236.49 % SZS output start Proof for HEN007-3
% 236.02/236.56 (
% 236.02/236.56 (let ((_let_1 (tptp.divide tptp.c tptp.a))) (let ((_let_2 (tptp.divide tptp.c tptp.b))) (let ((_let_3 (tptp.less_equal _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.less_equal tptp.a tptp.b))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (not (tptp.less_equal Y X)) (= X Y))))) (let ((_let_7 (forall ((X $$unsorted)) (tptp.less_equal tptp.zero X)))) (let ((_let_8 (forall ((X $$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_9 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.less_equal (tptp.divide X Y) X)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.divide X Y) tptp.zero)) (tptp.less_equal X Y))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= (tptp.divide X Y) tptp.zero))))) (let ((_let_12 (tptp.divide tptp.a tptp.b))) (let ((_let_13 (= tptp.zero _let_12))) (let ((_let_14 (tptp.divide _let_2 tptp.c))) (let ((_let_15 (= tptp.zero _let_14))) (let ((_let_16 (tptp.divide _let_1 tptp.c))) (let ((_let_17 (= tptp.zero _let_16))) (let ((_let_18 (tptp.divide _let_12 tptp.a))) (let ((_let_19 (= tptp.zero _let_18))) (let ((_let_20 (tptp.divide _let_2 _let_1))) (let ((_let_21 (tptp.divide _let_20 _let_2))) (let ((_let_22 (= tptp.zero _let_21))) (let ((_let_23 (tptp.divide tptp.b _let_1))) (let ((_let_24 (tptp.divide tptp.c _let_1))) (let ((_let_25 (tptp.divide _let_24 _let_23))) (let ((_let_26 (tptp.divide _let_25 _let_20))) (let ((_let_27 (= tptp.zero _let_26))) (let ((_let_28 (= tptp.zero (tptp.divide _let_16 _let_1)))) (let ((_let_29 (tptp.divide tptp.b tptp.c))) (let ((_let_30 (tptp.divide tptp.c tptp.c))) (let ((_let_31 (tptp.divide _let_30 _let_29))) (let ((_let_32 (= _let_14 _let_31))) (let ((_let_33 (= tptp.zero (tptp.divide _let_31 _let_30)))) (let ((_let_34 (tptp.divide _let_26 tptp.a))) (let ((_let_35 (tptp.divide _let_20 tptp.a))) (let ((_let_36 (tptp.divide _let_25 tptp.a))) (let ((_let_37 (tptp.divide _let_36 _let_35))) (let ((_let_38 (= _let_37 _let_34))) (let ((_let_39 (tptp.divide _let_1 _let_2))) (let ((_let_40 (= tptp.zero (tptp.divide _let_39 _let_1)))) (let ((_let_41 (tptp.divide _let_35 _let_20))) (let ((_let_42 (= tptp.zero _let_41))) (let ((_let_43 (= _let_30 _let_31))) (let ((_let_44 (tptp.divide tptp.a _let_2))) (let ((_let_45 (= tptp.zero (tptp.divide _let_44 tptp.a)))) (let ((_let_46 (tptp.divide _let_1 tptp.b))) (let ((_let_47 (tptp.divide _let_46 _let_1))) (let ((_let_48 (= tptp.zero _let_47))) (let ((_let_49 (tptp.divide _let_2 _let_12))) (let ((_let_50 (= tptp.zero (tptp.divide _let_49 _let_46)))) (let ((_let_51 (tptp.divide _let_37 _let_30))) (let ((_let_52 (tptp.divide _let_35 _let_30))) (let ((_let_53 (tptp.divide (tptp.divide _let_36 _let_30) _let_52))) (let ((_let_54 (= _let_53 _let_51))) (let ((_let_55 (tptp.divide _let_30 _let_52))) (let ((_let_56 (tptp.divide _let_36 _let_52))) (let ((_let_57 (tptp.divide _let_56 _let_55))) (let ((_let_58 (= _let_53 _let_57))) (let ((_let_59 (= _let_56 _let_57))) (let ((_let_60 (tptp.divide tptp.c _let_30))) (let ((_let_61 (= tptp.c _let_60))) (let ((_let_62 (tptp.divide tptp.b _let_14))) (let ((_let_63 (= tptp.b _let_62))) (let ((_let_64 (tptp.divide tptp.c _let_14))) (let ((_let_65 (tptp.divide _let_64 _let_62))) (let ((_let_66 (tptp.divide _let_2 _let_14))) (let ((_let_67 (= _let_66 _let_65))) (let ((_let_68 (= _let_30 _let_52))) (let ((_let_69 (tptp.divide _let_36 _let_41))) (let ((_let_70 (tptp.divide _let_20 _let_41))) (let ((_let_71 (tptp.less_equal _let_70 _let_69))) (let ((_let_72 (tptp.less_equal (tptp.divide _let_20 _let_47) (tptp.divide (tptp.divide _let_2 _let_46) _let_1)))) (let ((_let_73 (not _let_5))) (let ((_let_74 (or _let_73 _let_13))) (let ((_let_75 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less_equal X Y)) (= tptp.zero (tptp.divide X Y)))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (_let_75))) (let ((_let_78 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_13 (not _let_74)))) (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_74 false _let_75)) :args (_let_13 false _let_5 false _let_74)))) (let ((_let_80 (tptp.less_equal _let_2 tptp.c))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_81 _let_15))) (let ((_let_83 (_let_9))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 ((tptp.divide X Y)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_81 _let_15 (not _let_82)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.c tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_80 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_2 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_82 false _let_75)) :args (_let_15 false _let_80 false _let_82)))) (let ((_let_87 (tptp.less_equal _let_1 tptp.c))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_17))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_88 _let_17 (not _let_89)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_87 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_1 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_89 false _let_75)) :args (_let_17 false _let_87 false _let_89)))) (let ((_let_91 (tptp.less_equal _let_12 tptp.a))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_19))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_92 _let_19 (not _let_93)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_91 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_12 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_93 false _let_75)) :args (_let_19 false _let_91 false _let_93)))) (let ((_let_95 (tptp.less_equal _let_20 _let_2))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_22))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_96 _let_22 (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_95 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_20 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_97 false _let_75)) :args (_let_22 false _let_95 false _let_97)))) (let ((_let_99 (tptp.less_equal _let_25 _let_20))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_27))) (let ((_let_102 (_let_8))) (let ((_let_103 (ASSUME :args _let_102))) (let ((_let_104 ((tptp.divide (tptp.divide X Y) Z)))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_100 _let_27 (not _let_101)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.c _let_1 tptp.b QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_99 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_25 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_101 false _let_75)) :args (_let_27 false _let_99 false _let_101)))) (let ((_let_106 (tptp.less_equal _let_16 _let_1))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_28))) (let ((_let_109 (tptp.less_equal _let_14 _let_31))) (let ((_let_110 (not _let_109))) (let ((_let_111 (tptp.less_equal _let_31 _let_14))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_112 _let_110 _let_32))) (let ((_let_114 (_let_6))) (let ((_let_115 (ASSUME :args _let_114))) (let ((_let_116 ((not (= (tptp.less_equal X Y) false))))) (let ((_let_117 (tptp.divide _let_31 _let_14))) (let ((_let_118 (tptp.less_equal _let_117 _let_31))) (let ((_let_119 (= tptp.zero _let_117))) (let ((_let_120 (or _let_112 _let_119))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.c tptp.c tptp.b QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_111 false _let_8)))) (let ((_let_122 (not _let_15))) (let ((_let_123 (not _let_13))) (let ((_let_124 (and _let_13 _let_15 _let_119 _let_118))) (let ((_let_125 (ASSUME :args (_let_118)))) (let ((_let_126 (APPLY_UF tptp.less_equal))) (let ((_let_127 (ASSUME :args (_let_119)))) (let ((_let_128 (ASSUME :args (_let_13)))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (ASSUME :args (_let_15)))) (let ((_let_131 (SYMM _let_130))) (let ((_let_132 (SYMM _let_131))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (TRANS _let_133 _let_128))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_112 _let_110 _let_32 (not _let_113)))) _let_121 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_124)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_125 _let_127 _let_128 _let_130) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_134 (TRANS _let_129 (SYMM (SYMM _let_127)))) (REFL :args (_let_31)) :args _let_126) (TRUE_INTRO _let_125))) :args (_let_118 _let_119 _let_13 _let_15))) :args (_let_13 _let_15 _let_119 _let_118))) :args (true _let_124)) :args ((or _let_123 _let_122 _let_109 (not _let_119) (not _let_118)))) _let_79 _let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_112 _let_119 (not _let_120)))) _let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_31 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_120 false _let_75)) :args (_let_119 false _let_111 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_31 _let_14 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_83)) _let_84 :args (_let_118 false _let_9)) :args (_let_109 false _let_13 false _let_15 false _let_119 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_31 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_114))) _let_115 :args (_let_113 false _let_6)) :args (_let_32 false _let_111 false _let_109 false _let_113)))) (let ((_let_136 (tptp.less_equal _let_31 _let_30))) (let ((_let_137 (not _let_136))) (let ((_let_138 (or _let_137 _let_33))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_30 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_136 false _let_9)))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_138)) :args ((or _let_137 _let_33 (not _let_138)))) _let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_31 _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_138 false _let_75)) :args (_let_33 false _let_136 false _let_138)))) (let ((_let_141 (tptp.less_equal _let_34 _let_37))) (let ((_let_142 (not _let_141))) (let ((_let_143 (tptp.less_equal _let_37 _let_34))) (let ((_let_144 (not _let_143))) (let ((_let_145 (or _let_144 _let_142 _let_38))) (let ((_let_146 (tptp.divide _let_37 _let_34))) (let ((_let_147 (tptp.less_equal _let_146 _let_37))) (let ((_let_148 (= tptp.zero _let_146))) (let ((_let_149 (or _let_144 _let_148))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_25 tptp.a _let_20 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_143 false _let_8)))) (let ((_let_151 (not _let_27))) (let ((_let_152 (not _let_19))) (let ((_let_153 (and _let_13 _let_19 _let_27 _let_148 _let_147))) (let ((_let_154 (ASSUME :args (_let_147)))) (let ((_let_155 (ASSUME :args (_let_148)))) (let ((_let_156 (ASSUME :args (_let_19)))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (APPLY_UF tptp.divide))) (let ((_let_159 (REFL :args (tptp.a)))) (let ((_let_160 (ASSUME :args (_let_27)))) (let ((_let_161 (SYMM _let_160))) (let ((_let_162 (TRANS _let_161 _let_128))) (let ((_let_163 (CONG _let_162 _let_159 :args _let_158))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_144 _let_142 _let_38 (not _let_145)))) _let_150 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_153)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_154 _let_155 _let_128 _let_156 _let_160) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS _let_163 _let_157 _let_128) (TRANS _let_129 (SYMM (SYMM _let_155)))) (REFL :args (_let_37)) :args _let_126) (TRUE_INTRO _let_154))) :args (_let_147 _let_148 _let_13 _let_19 _let_27))) :args (_let_13 _let_19 _let_27 _let_148 _let_147))) :args (true _let_153)) :args ((or _let_123 _let_152 _let_151 _let_141 (not _let_148) (not _let_147)))) _let_79 _let_94 _let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_149)) :args ((or _let_144 _let_148 (not _let_149)))) _let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_37 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_149 false _let_75)) :args (_let_148 false _let_143 false _let_149)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_37 _let_34 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_83)) _let_84 :args (_let_147 false _let_9)) :args (_let_141 false _let_13 false _let_19 false _let_27 false _let_148 false _let_147)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_37 _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_114)) _let_115 :args (_let_145 false _let_6)) :args (_let_38 false _let_143 false _let_141 false _let_145)))) (let ((_let_165 (tptp.less_equal _let_39 _let_1))) (let ((_let_166 (not _let_165))) (let ((_let_167 (or _let_166 _let_40))) (let ((_let_168 (tptp.less_equal _let_35 _let_20))) (let ((_let_169 (not _let_168))) (let ((_let_170 (or _let_169 _let_42))) (let ((_let_171 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_170)) :args ((or _let_169 _let_42 (not _let_170)))) (MACRO_RESOLUTION_TRUST 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_36 _let_41 _let_20 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_827 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_848)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_849 _let_128 _let_842 _let_748 _let_156 _let_160 _let_244 _let_850) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS (SYMM _let_851) _let_845 _let_844 _let_128) _let_129) (REFL :args (_let_816)) :args _let_126) (TRUE_INTRO _let_849))) :args (_let_830 _let_13 _let_824 _let_22 _let_19 _let_27 _let_38 _let_823))) :args (_let_13 _let_19 _let_22 _let_27 _let_824 _let_38 _let_823 _let_830))) :args (true _let_848)) :args ((or _let_123 _let_152 _let_741 _let_151 _let_839 _let_238 _let_847 _let_825 (not _let_830)))) _let_79 _let_94 _let_98 _let_105 _let_838 _let_164 _let_846 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_237 :args (_let_816 QUANTIFIERS_INST_CBQI_CONFLICT)) :args 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_let_212 _let_130 _let_128 _let_156 _let_160 _let_244 _let_258 _let_287 _let_810 _let_812 _let_276 _let_808 _let_748) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_815 _let_814 _let_811 _let_288 _let_259 _let_247 _let_243) (CONG _let_745 (TRANS _let_809 _let_807) :args _let_158) :args _let_787) (FALSE_INTRO _let_806))) :args (_let_772 _let_33 _let_32 _let_15 _let_13 _let_19 _let_27 _let_38 _let_54 _let_58 _let_59 _let_68 _let_43 _let_42 _let_22))) :args (_let_13 _let_15 _let_19 _let_22 _let_27 _let_32 _let_33 _let_43 _let_38 _let_42 _let_772 _let_54 _let_58 _let_59 _let_68))) :args (true _let_805)) (CONG _let_804 _let_803 _let_802 _let_784 _let_801 _let_800 _let_799 _let_798 _let_797 _let_796 (MACRO_SR_PRED_INTRO :args ((= (not _let_772) _let_769))) _let_795 _let_794 _let_793 _let_792 (REFL :args (_let_770)) :args _let_783)) :args ((or _let_123 _let_122 _let_152 _let_741 _let_151 _let_209 _let_239 _let_272 _let_238 _let_769 _let_791 _let_255 _let_284 _let_790 _let_789 _let_770))) _let_79 _let_86 _let_94 _let_98 _let_105 _let_135 _let_140 _let_220 _let_164 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_773)) :args ((or _let_771 _let_772 (not _let_773)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_778)) :args ((or _let_777 _let_775 _let_774 (not _let_778)))) _let_788 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_785)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_748 _let_786) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG _let_749 _let_745 :args _let_787) (FALSE_INTRO _let_786)) :args ((= _let_774 false)))) :args (_let_22 _let_781))) :args (_let_781 _let_22))) :args (true _let_785)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_781) _let_779))) _let_784 (REFL :args (_let_780)) :args _let_783)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_782)) :args ((or _let_3 _let_781 (not _let_782)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_181)) :args _let_180)) _let_179 :args (_let_782 false _let_178)) :args (_let_781 true _let_3 false _let_782)) _let_98 :args (_let_780 true _let_779 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_21 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_114))) _let_115 :args (_let_778 false _let_6)) :args (_let_775 false _let_776 true _let_774 false _let_778)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (_let_20 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_181)) :args _let_180)) _let_179 :args (_let_773 false _let_178)) :args (_let_772 true _let_771 false _let_773)) _let_171 _let_248 _let_260 _let_294 _let_763 :args (_let_770 false _let_13 false _let_15 false _let_19 false _let_22 false _let_27 false _let_32 false _let_33 false _let_43 false _let_38 true _let_769 false _let_42 false _let_54 false _let_58 false _let_59 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_69 _let_70 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_114)) _let_115 :args (_let_768 false _let_6)) :args (_let_765 false _let_766 true _let_764 false _let_768)) _let_763 _let_492 _let_475 _let_373 _let_294 _let_260 _let_248 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_229)) :args ((or _let_228 _let_50 (not _let_229)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.c tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_227 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_49 _let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_229 false _let_75)) :args (_let_50 false _let_227 false _let_229)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_226)) :args ((or _let_225 _let_48 (not _let_226)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_1 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_224 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_46 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_226 false _let_75)) :args (_let_48 false _let_224 false _let_226)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_223)) :args ((or _let_222 _let_45 (not _let_223)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.a _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_221 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_44 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_223 false _let_75)) :args (_let_45 false _let_221 false _let_223)) _let_220 _let_171 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_167)) :args ((or _let_166 _let_40 (not _let_167)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_165 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_39 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_167 false _let_75)) :args (_let_40 false _let_165 false _let_167)) _let_164 _let_140 _let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_107 _let_28 (not _let_108)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_1 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_83)) _let_84 :args (_let_106 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_16 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) _let_76 :args (_let_108 false _let_75)) :args (_let_28 false _let_106 false _let_108)) _let_105 _let_98 _let_94 _let_90 _let_86 _let_79 :args (false false _let_72 true _let_71 false _let_68 false _let_67 false _let_63 false _let_61 false _let_59 false _let_58 false _let_54 false _let_50 false _let_48 false _let_45 false _let_43 false _let_42 false _let_40 false _let_38 false _let_33 false _let_32 false _let_28 false _let_27 false _let_22 false _let_19 false _let_17 false _let_15 false _let_13)) :args (_let_11 _let_10 _let_9 _let_8 _let_7 _let_6 (forall ((X $$unsorted)) (tptp.less_equal X tptp.identity)) _let_5 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 236.02/236.56 )
% 236.02/236.56 % SZS output end Proof for HEN007-3
% 236.02/236.57 % cvc5---1.0.5 exiting
% 236.02/236.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------