0.03/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.11	% Command    : do_cvc5 %s %d
0.11/0.31	% Computer   : n009.cluster.edu
0.11/0.31	% Model      : x86_64 x86_64
0.11/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.31	% Memory     : 8042.1875MB
0.11/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.11/0.31	% CPULimit   : 1200
0.11/0.31	% WCLimit    : 120
0.11/0.31	% DateTime   : Tue Jul 13 15:19:12 EDT 2021
0.11/0.31	% CPUTime    : 
0.16/0.42	%----THF division
0.16/0.43	------- cvc5-thf casc 28 : /export/starexec/sandbox/benchmark/theBenchmark.p at 120...
0.16/0.43	--- Run --ho-elim --full-saturate-quant at 10...
10.26/10.52	--- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
20.33/20.61	--- Run --ho-elim --no-e-matching --fs-sum --full-saturate-quant at 10...
30.42/30.73	--- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
35.51/35.84	--- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
40.63/40.99	--- Run --no-ho-matching --full-saturate-quant --fs-interleave --ho-elim-store-ax at 10...
50.70/51.05	--- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
60.73/61.14	--- Run --ho-elim --full-saturate-quant --fs-interleave at 10...
70.74/71.29	--- Run --no-ho-matching --full-saturate-quant --ho-elim-store-ax at 10...
80.83/81.33	--- Run --ho-elim --no-ho-elim-store-ax --full-saturate-quant...
98.76/99.30	% SZS status Theorem for theBenchmark
98.76/99.34	% SZS output start Proof for theBenchmark
98.76/99.34	(proof
98.76/99.34	(let ((_let_1 (not false))) (let ((_let_2 (arr ty_2Eextreal_2Eextreal))) (let ((_let_3 ((mem c_2Eextreal_2Eextreal__le) (_let_2 (_let_2 bool))))) (let ((_let_4 (arr bool))) (let ((_let_5 (_let_4 bool))) (let ((_let_6 (_let_4 _let_5))) (let ((_let_7 (not (forall ((V0z tp__ty_2Eextreal_2Eextreal) (V1x tp__ty_2Eextreal_2Eextreal) (V2y tp__ty_2Eextreal_2Eextreal)) (let ((_let_1 (inj__ty_2Eextreal_2Eextreal V0z))) (let ((_let_2 (inj__ty_2Eextreal_2Eextreal V2y))) (let ((_let_3 (inj__ty_2Eextreal_2Eextreal V1x))) (let ((_let_4 (ap c_2Eextreal_2Eextreal__le))) (= (and (p ((ap (_let_4 _let_2)) _let_1)) (p ((ap (_let_4 _let_3)) _let_1))) (p ((ap (_let_4 ((ap ((ap c_2Eextreal_2Eextreal__max) _let_3)) _let_2))) _let_1))))))))))) (let ((_let_8 (forall ((V0x tp__ty_2Eextreal_2Eextreal) (V1y tp__ty_2Eextreal_2Eextreal)) (let ((_let_1 (inj__ty_2Eextreal_2Eextreal V0x))) (let ((_let_2 (inj__ty_2Eextreal_2Eextreal V1y))) (= (surj__ty_2Eextreal_2Eextreal ((ap ((ap c_2Eextreal_2Eextreal__max) _let_1)) _let_2)) (surj__ty_2Eextreal_2Eextreal ((ap ((ap ((ap (c_2Ebool_2ECOND ty_2Eextreal_2Eextreal)) ((ap ((ap c_2Eextreal_2Eextreal__le) _let_1)) _let_2))) _let_2)) _let_1)))))))) (let ((_let_9 ((mem c_2Eextreal_2Eextreal__max) (_let_2 (_let_2 ty_2Eextreal_2Eextreal))))) (let ((_let_10 (forall ((X0 tp__ty_2Eextreal_2Eextreal) (X1 tp__ty_2Eextreal_2Eextreal)) (= (inj__ty_2Eextreal_2Eextreal ((fo__c_2Eextreal_2Eextreal__max X0) X1)) ((ap ((ap c_2Eextreal_2Eextreal__max) (inj__ty_2Eextreal_2Eextreal X0))) (inj__ty_2Eextreal_2Eextreal X1)))))) (let ((_let_11 (not (p c_2Ebool_2EF)))) (let ((_let_12 ((mem c_2Ebool_2EF) bool))) (let ((_let_13 (p c_2Ebool_2ET))) (let ((_let_14 (forall ((X tp__ty_2Eextreal_2Eextreal)) (= (surj__ty_2Eextreal_2Eextreal (inj__ty_2Eextreal_2Eextreal X)) X)))) (let ((_let_15 (forall ((V0x tp__ty_2Eextreal_2Eextreal) (V1y tp__ty_2Eextreal_2Eextreal) (V2z tp__ty_2Eextreal_2Eextreal)) (let ((_let_1 (inj__ty_2Eextreal_2Eextreal V2z))) (let ((_let_2 (ap c_2Eextreal_2Eextreal__le))) (let ((_let_3 (ap (_let_2 (inj__ty_2Eextreal_2Eextreal V0x))))) (let ((_let_4 (inj__ty_2Eextreal_2Eextreal V1y))) (=> (and (p (_let_3 _let_4)) (p ((ap (_let_2 _let_4)) _let_1))) (p (_let_3 _let_1)))))))))) (let ((_let_16 (forall ((A_27a del) (V0t1 $$unsorted)) (=> ((mem V0t1) A_27a) (forall ((V1t2 $$unsorted)) (let ((_let_1 (ap (c_2Ebool_2ECOND A_27a)))) (=> ((mem V1t2) A_27a) (and (= ((ap ((ap (_let_1 c_2Ebool_2EF)) V0t1)) V1t2) V1t2) (= ((ap ((ap (_let_1 c_2Ebool_2ET)) V0t1)) V1t2) V0t1))))))))) (let ((_let_17 (forall ((X $$unsorted)) (=> ((mem X) ty_2Eextreal_2Eextreal) (= X (inj__ty_2Eextreal_2Eextreal (surj__ty_2Eextreal_2Eextreal X))))))) (let ((_let_18 (forall ((V0x tp__ty_2Eextreal_2Eextreal) (V1y tp__ty_2Eextreal_2Eextreal)) (let ((_let_1 (inj__ty_2Eextreal_2Eextreal V1y))) (let ((_let_2 (inj__ty_2Eextreal_2Eextreal V0x))) (let ((_let_3 (ap c_2Eextreal_2Eextreal__le))) (or (p ((ap (_let_3 _let_1)) _let_2)) (p ((ap (_let_3 _let_2)) _let_1))))))))) (let ((_let_19 (forall ((X tp__ty_2Eextreal_2Eextreal)) ((mem (inj__ty_2Eextreal_2Eextreal X)) ty_2Eextreal_2Eextreal)))) (let ((_let_20 ((mem c_2Ebool_2ET) bool))) (let ((_let_21 (forall ((X $$unsorted)) (=> ((mem X) bool) (= X (inj__o (p X))))))) (let ((_let_22 (forall ((A del) (B del) (F $$unsorted)) (=> ((mem F) ((arr A) B)) (forall ((X $$unsorted)) (=> ((mem X) A) ((mem ((ap F) X)) B))))))) (let ((_let_23 (forall ((V0x tp__ty_2Eextreal_2Eextreal) (V1y tp__ty_2Eextreal_2Eextreal) (V2z tp__ty_2Eextreal_2Eextreal)) (let ((_let_1 (ho_20 k_19 V2z))) (let ((_let_2 (ho_12 k_11 c_2Eextreal_2Eextreal__le))) (let ((_let_3 (ho_12 k_11 (ho_4 _let_2 (ho_20 k_19 V0x))))) (let ((_let_4 (ho_20 k_19 V1y))) (or (not (ho_16 k_15 (ho_4 _let_3 _let_4))) (not (ho_16 k_15 (ho_4 (ho_12 k_11 (ho_4 _let_2 _let_4)) _let_1))) (ho_16 k_15 (ho_4 _let_3 _let_1)))))))))) (let ((_let_24 (ho_20 k_19 skv_28))) (let ((_let_25 (ho_20 k_19 skv_30))) (let ((_let_26 (ho_12 k_11 c_2Eextreal_2Eextreal__le))) (let ((_let_27 (ho_4 _let_26 _let_25))) (let ((_let_28 (ho_12 k_11 _let_27))) (let ((_let_29 (ho_4 _let_28 _let_24))) (let ((_let_30 (ho_16 k_15 _let_29))) (let ((_let_31 (ho_20 k_19 skv_29))) (let ((_let_32 (ho_4 _let_26 _let_31))) (let ((_let_33 (ho_12 k_11 _let_32))) (let ((_let_34 (ho_4 _let_33 _let_24))) (let ((_let_35 (ho_16 k_15 _let_34))) (let ((_let_36 (not _let_35))) (let ((_let_37 (ho_16 k_15 (ho_4 _let_28 _let_31)))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_30))) (let ((_let_40 (EQ_RESOLVE (ASSUME |:args| (_let_15)) (TRANS (MACRO_SR_EQ_INTRO |:args| (_let_15 7 12)) (PREPROCESS |:args| ((= (forall ((V0x tp__ty_2Eextreal_2Eextreal) (V1y tp__ty_2Eextreal_2Eextreal) (V2z tp__ty_2Eextreal_2Eextreal)) (let ((_let_1 (inj__ty_2Eextreal_2Eextreal V2z))) (let ((_let_2 (ap c_2Eextreal_2Eextreal__le))) (let ((_let_3 (ap (_let_2 (inj__ty_2Eextreal_2Eextreal V0x))))) (let ((_let_4 (inj__ty_2Eextreal_2Eextreal V1y))) (or (not (p (_let_3 _let_4))) (not (p ((ap (_let_2 _let_4)) _let_1))) (p (_let_3 _let_1)))))))) _let_23))))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (ho_4 _let_33 _let_25))) (let ((_let_43 (ho_16 k_15 _let_42))) (let ((_let_44 (or _let_37 _let_43))) (let ((_let_45 (forall ((V0x tp__ty_2Eextreal_2Eextreal) (V1y tp__ty_2Eextreal_2Eextreal)) (let ((_let_1 (ho_20 k_19 V1y))) (let ((_let_2 (ho_20 k_19 V0x))) (let ((_let_3 (ho_12 k_11 c_2Eextreal_2Eextreal__le))) (or (ho_16 k_15 (ho_4 (ho_12 k_11 (ho_4 _let_3 _let_1)) _let_2)) (ho_16 k_15 (ho_4 (ho_12 k_11 (ho_4 _let_3 _let_2)) _let_1))))))))) (let ((_let_46 (EQ_RESOLVE (ASSUME |:args| (_let_18)) (PREPROCESS |:args| ((= _let_18 _let_45)))))) (let ((_let_47 (_let_45))) (let ((_let_48 (skv_29 skv_30))) (let ((_let_49 (not _let_43))) (let ((_let_50 (ho_12 k_11 (ho_18 k_23 ty_2Eextreal_2Eextreal)))) (let ((_let_51 (ho_12 k_11 (ho_4 _let_50 c_2Ebool_2ET)))) (let ((_let_52 (ho_12 k_11 (ho_4 _let_51 _let_25)))) (let ((_let_53 (= _let_25 (ho_4 _let_52 _let_25)))) (let ((_let_54 (ho_12 k_11 (ho_4 _let_50 c_2Ebool_2EF)))) (let ((_let_55 (ho_12 k_11 (ho_4 _let_54 _let_24)))) (let ((_let_56 (= _let_25 (ho_4 _let_55 _let_25)))) (let ((_let_57 (= _let_25 (ho_4 _let_52 _let_31)))) (let ((_let_58 (= _let_42 (ho_14 k_13 BOOLEAN_TERM_VARIABLE_27621)))) (let ((_let_59 (ho_12 k_11 c_2Eextreal_2Eextreal__max))) (let ((_let_60 (ho_4 _let_59 _let_25))) (let ((_let_61 (ho_12 k_11 _let_60))) (let ((_let_62 (ho_4 _let_28 _let_25))) (let ((_let_63 (= (ho_22 k_21 (ho_4 (ho_12 k_11 (ho_4 (ho_12 k_11 (ho_4 _let_50 _let_62)) _let_25)) _let_25)) (ho_22 k_21 (ho_4 _let_61 _let_25))))) (let ((_let_64 (ho_4 _let_61 _let_24))) (let ((_let_65 (= _let_64 (ho_20 k_19 (ho_27 (ho_26 k_25 skv_30) skv_28))))) (let ((_let_66 (ho_22 k_21 _let_64))) (let ((_let_67 (= _let_64 (ho_20 k_19 _let_66)))) (let ((_let_68 (ho_4 _let_33 _let_31))) (let ((_let_69 (= _let_68 (ho_14 k_13 BOOLEAN_TERM_VARIABLE_13651)))) (let ((_let_70 (= _let_62 (ho_14 k_13 BOOLEAN_TERM_VARIABLE_13614)))) (let ((_let_71 (ho_26 k_25 skv_29))) (let ((_let_72 (ho_27 _let_71 skv_30))) (let ((_let_73 (ho_20 k_19 _let_72))) (let ((_let_74 (= _let_72 (ho_22 k_21 _let_73)))) (let ((_let_75 (ho_12 k_11 (ho_4 _let_59 _let_31)))) (let ((_let_76 (ho_4 _let_75 _let_25))) (let ((_let_77 (= (ho_22 k_21 (ho_4 (ho_12 k_11 (ho_4 (ho_12 k_11 (ho_4 _let_50 _let_42)) _let_25)) _let_31)) (ho_22 k_21 _let_76)))) (let ((_let_78 (= (ho_22 k_21 (ho_4 (ho_12 k_11 (ho_4 (ho_12 k_11 (ho_4 _let_50 _let_29)) _let_24)) _let_25)) _let_66))) (let ((_let_79 (= _let_76 _let_73))) (let ((_let_80 (= skv_30 (ho_22 k_21 _let_25)))) (let ((_let_81 (= _let_29 (ho_14 k_13 BOOLEAN_TERM_VARIABLE_5916)))) (let ((_let_82 (= c_2Ebool_2EF (ho_14 k_13 BOOLEAN_TERM_VARIABLE_5684)))) (let ((_let_83 (= c_2Ebool_2ET (ho_14 k_13 BOOLEAN_TERM_VARIABLE_5573)))) (let ((_let_84 (ho_16 k_15 (ho_4 (ho_12 k_11 (ho_4 _let_26 _let_76)) _let_24)))) (let ((_let_85 (ho_16 k_15 c_2Ebool_2EF))) (let ((_let_86 (not BOOLEAN_TERM_VARIABLE_27621))) (let ((_let_87 (ho_12 k_11 (ho_4 _let_54 _let_25)))) (let ((_let_88 (and (= _let_25 (ho_4 _let_87 _let_25)) _let_53))) (let ((_let_89 (ho_10 (ho_9 k_8 _let_25) ty_2Eextreal_2Eextreal))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_90 _let_88))) (let ((_let_92 (forall ((A_27a del) (V0t1 $$unsorted) (BOUND_VARIABLE_1397 $$unsorted)) (let ((_let_1 (ho_12 k_11 (ho_18 k_23 A_27a)))) (or (not (ho_10 (ho_9 k_8 V0t1) A_27a)) (not (ho_10 (ho_9 k_8 BOUND_VARIABLE_1397) A_27a)) (and (= BOUND_VARIABLE_1397 (ho_4 (ho_12 k_11 (ho_4 (ho_12 k_11 (ho_4 _let_1 c_2Ebool_2EF)) V0t1)) BOUND_VARIABLE_1397)) (= V0t1 (ho_4 (ho_12 k_11 (ho_4 (ho_12 k_11 (ho_4 _let_1 c_2Ebool_2ET)) V0t1)) BOUND_VARIABLE_1397)))))))) (let ((_let_93 (EQ_RESOLVE (ASSUME |:args| (_let_16)) (TRANS (MACRO_SR_EQ_INTRO |:args| (_let_16 7 12)) (PREPROCESS |:args| ((= (forall ((A_27a del) (V0t1 $$unsorted) (BOUND_VARIABLE_1397 $$unsorted)) (let ((_let_1 (ap (c_2Ebool_2ECOND A_27a)))) (or (not ((mem V0t1) A_27a)) (not ((mem BOUND_VARIABLE_1397) A_27a)) (and (= BOUND_VARIABLE_1397 ((ap ((ap (_let_1 c_2Ebool_2EF)) V0t1)) BOUND_VARIABLE_1397)) (= V0t1 ((ap ((ap (_let_1 c_2Ebool_2ET)) V0t1)) BOUND_VARIABLE_1397)))))) _let_92))))))) (let ((_let_94 (_let_92))) (let ((_let_95 (forall ((X tp__ty_2Eextreal_2Eextreal)) (ho_10 (ho_9 k_8 (ho_20 k_19 X)) ty_2Eextreal_2Eextreal)))) (let ((_let_96 (EQ_RESOLVE (ASSUME |:args| (_let_19)) (PREPROCESS |:args| ((= _let_19 _let_95)))))) (let ((_let_97 (_let_95))) (let ((_let_98 (skv_30))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 |:args| _let_98) |:args| _let_97)) _let_96 |:args| (_let_89 false _let_95)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS |:args| (_let_88 1)) |:args| ((or _let_53 (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS |:args| (_let_91))) |:args| ((or _let_90 _let_88 (not _let_91)))) _let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 |:args| (ty_2Eextreal_2Eextreal _let_25 _let_25)) |:args| _let_94)) _let_93 |:args| (_let_91 false _let_92)) |:args| (_let_88 false _let_89 false _let_91)) |:args| (_let_53 false _let_88)))) (let ((_let_101 (ho_12 k_11 (ho_4 _let_51 _let_24)))) (let ((_let_102 (and _let_56 (= _let_24 (ho_4 _let_101 _let_25))))) (let ((_let_103 (ho_10 (ho_9 k_8 _let_24) ty_2Eextreal_2Eextreal))) (let ((_let_104 (not _let_103))) (let ((_let_105 (or _let_104 _let_90 _let_102))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 |:args| (skv_28)) |:args| _let_97)) _let_96 |:args| (_let_103 false _let_95)))) (let ((_let_107 (= _let_31 (ho_4 _let_87 _let_31)))) (let ((_let_108 (and _let_107 _let_57))) (let ((_let_109 (ho_10 (ho_9 k_8 _let_31) ty_2Eextreal_2Eextreal))) (let ((_let_110 (not _let_109))) (let ((_let_111 (or _let_90 _let_110 _let_108))) (let ((_let_112 (skv_29))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 |:args| _let_112) |:args| _let_97)) _let_96 |:args| (_let_109 false _let_95)))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_111)) |:args| ((or _let_110 _let_90 _let_108 (not _let_111)))) _let_113 _let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 |:args| (ty_2Eextreal_2Eextreal _let_25 _let_31)) |:args| _let_94)) _let_93 |:args| (_let_111 false _let_92)) |:args| (_let_108 false _let_109 false _let_89 false _let_111)))) (let ((_let_115 (not _let_108))) (let ((_let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS |:args| (_let_108 1)) |:args| ((or _let_57 _let_115))) _let_114 |:args| (_let_57 false _let_108)))) (let ((_let_117 (ho_10 (ho_9 k_8 _let_42) bool))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_118 _let_58))) (let ((_let_120 (forall ((X $$unsorted)) (or (not (ho_10 (ho_9 k_8 X) bool)) (= X (ho_14 k_13 (ho_16 k_15 X))))))) (let ((_let_121 (EQ_RESOLVE (ASSUME |:args| (_let_21)) (TRANS (MACRO_SR_EQ_INTRO |:args| (_let_21 7 12)) (PREPROCESS |:args| ((= (forall ((X $$unsorted)) (or (not ((mem X) bool)) (= X (inj__o (p X))))) _let_120))))))) (let ((_let_122 (19))) (let ((_let_123 (20))) (let ((_let_124 (6))) (let ((_let_125 (23 ho_14))) (let ((_let_126 (REFL |:args| (k_13)))) (let ((_let_127 (_let_42))) (let ((_let_128 (_let_120))) (let ((_let_129 (REFL |:args| _let_128))) (let ((_let_130 (ho_2 k_1 ty_2Eextreal_2Eextreal))) (let ((_let_131 (ho_3 _let_130 bool))) (let ((_let_132 (ho_10 (ho_9 k_8 _let_32) _let_131))) (let ((_let_133 (not _let_132))) (let ((_let_134 (or _let_133 _let_90 _let_117))) (let ((_let_135 (forall ((A del) (B del) (F $$unsorted) (BOUND_VARIABLE_1189 $$unsorted)) (or (not (ho_10 (ho_9 k_8 F) (ho_3 (ho_2 k_1 A) B))) (not (ho_10 (ho_9 k_8 BOUND_VARIABLE_1189) A)) (ho_10 (ho_9 k_8 (ho_4 (ho_12 k_11 F) BOUND_VARIABLE_1189)) B))))) (let ((_let_136 (EQ_RESOLVE (ASSUME |:args| (_let_22)) (TRANS (MACRO_SR_EQ_INTRO |:args| (_let_22 7 12)) (PREPROCESS |:args| ((= (forall ((A del) (B del) (F $$unsorted) (BOUND_VARIABLE_1189 $$unsorted)) (or (not ((mem F) ((arr A) B))) (not ((mem BOUND_VARIABLE_1189) A)) ((mem ((ap F) BOUND_VARIABLE_1189)) B))) _let_135))))))) (let ((_let_137 (_let_135))) (let ((_let_138 (ho_10 (ho_9 k_8 c_2Eextreal_2Eextreal__le) (ho_3 _let_130 _let_131)))) (let ((_let_139 (not _let_138))) (let ((_let_140 (or _let_139 _let_110 _let_132))) (let ((_let_141 (EQ_RESOLVE (ASSUME |:args| (_let_3)) (PREPROCESS |:args| ((= _let_3 _let_138)))))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_140)) |:args| ((or _let_139 _let_110 _let_132 (not _let_140)))) _let_141 _let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 |:args| (ty_2Eextreal_2Eextreal _let_131 c_2Eextreal_2Eextreal__le _let_31)) |:args| _let_137)) _let_136 |:args| (_let_140 false _let_135)) |:args| (_let_132 false _let_138 false _let_109 false _let_140)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_119)) |:args| ((or _let_118 _let_58 (not _let_119)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_134)) |:args| ((or _let_90 _let_133 _let_117 (not _let_134)))) _let_99 _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 |:args| (ty_2Eextreal_2Eextreal bool _let_32 _let_25)) |:args| _let_137)) _let_136 |:args| (_let_134 false _let_135)) |:args| (_let_117 false _let_89 false _let_132 false _let_134)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_121 |:args| _let_127) |:args| _let_128) (CONG _let_129 (CONG (REFL |:args| (_let_118)) (CONG (REFL |:args| _let_127) (CONG _let_126 (MACRO_SR_PRED_INTRO |:args| ((= _let_43 BOOLEAN_TERM_VARIABLE_27621))) |:args| _let_125) |:args| _let_124) |:args| _let_123) |:args| _let_122))) _let_121 |:args| (_let_119 false _let_120)) |:args| (_let_58 false _let_117 false _let_119)))) (let ((_let_144 (forall ((V0x tp__ty_2Eextreal_2Eextreal) (V1y tp__ty_2Eextreal_2Eextreal)) (let ((_let_1 (ho_20 k_19 V1y))) (let ((_let_2 (ho_20 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((_let_240 (23 ho_12))) (let ((_let_241 (ASSUME |:args| (_let_79)))) (let ((_let_242 (SYMM _let_241))) (let ((_let_243 (REFL |:args| (_let_26)))) (let ((_let_244 (REFL |:args| (k_11)))) (let ((_let_245 (CONG _let_244 (CONG _let_243 _let_242 |:args| _let_238) |:args| _let_240))) (let ((_let_246 (REFL |:args| (k_15)))) (let ((_let_247 (_let_23))) (let ((_let_248 (EQ_RESOLVE (ASSUME |:args| (_let_13)) (PREPROCESS |:args| ((= _let_13 _let_222)))))) (let ((_let_249 (not _let_222))) (let ((_let_250 (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM2 (MACRO_SR_PRED_INTRO |:args| ((= BOOLEAN_TERM_VARIABLE_5573 _let_222)))) |:args| ((or _let_249 BOOLEAN_TERM_VARIABLE_5573))) _let_248 |:args| (BOOLEAN_TERM_VARIABLE_5573 false _let_222)))) (let ((_let_251 (ho_10 (ho_9 k_8 c_2Ebool_2ET) bool))) (let ((_let_252 (not _let_251))) (let ((_let_253 (or _let_252 _let_83))) (let ((_let_254 (c_2Ebool_2ET))) (let ((_let_255 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_253)) |:args| ((or _let_252 _let_83 (not _let_253)))) (EQ_RESOLVE (ASSUME |:args| (_let_20)) (PREPROCESS |:args| ((= _let_20 _let_251)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_121 |:args| _let_254) |:args| _let_128) (CONG _let_129 (CONG (REFL |:args| (_let_252)) (CONG (REFL |:args| _let_254) (CONG _let_126 (MACRO_SR_PRED_INTRO |:args| ((= _let_222 BOOLEAN_TERM_VARIABLE_5573))) |:args| _let_125) |:args| _let_124) |:args| _let_123) |:args| _let_122))) _let_121 |:args| (_let_253 false _let_120)) |:args| (_let_83 false _let_251 false _let_253)))) (let ((_let_256 (not _let_53))) (let ((_let_257 (not _let_57))) (let ((_let_258 (not _let_58))) (let ((_let_259 (not _let_63))) (let ((_let_260 (not BOOLEAN_TERM_VARIABLE_13651))) (let ((_let_261 (not _let_69))) (let ((_let_262 (not BOOLEAN_TERM_VARIABLE_13614))) (let ((_let_263 (not _let_70))) (let ((_let_264 (not _let_221))) (let ((_let_265 (not _let_74))) (let ((_let_266 (not _let_77))) (let ((_let_267 (not _let_80))) (let 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(_let_25)))) (let ((_let_292 (SYMM (ASSUME |:args| (_let_58))))) (let ((_let_293 (TRUE_INTRO (ASSUME |:args| (BOOLEAN_TERM_VARIABLE_27621))))) (let ((_let_294 (TRUE_INTRO (ASSUME |:args| (BOOLEAN_TERM_VARIABLE_5573))))) (let ((_let_295 (SYMM _let_294))) (let ((_let_296 (CONG _let_126 (TRANS (TRUE_INTRO (ASSUME |:args| (BOOLEAN_TERM_VARIABLE_13651))) _let_295) |:args| _let_125))) (let ((_let_297 (SYMM (ASSUME |:args| (_let_69))))) (let ((_let_298 (SYMM _let_297))) (let ((_let_299 (REFL |:args| (_let_50)))) (let ((_let_300 (SYMM _let_296))) (let ((_let_301 (CONG _let_244 (CONG _let_299 (TRANS (SYMM (SYMM (ASSUME |:args| (_let_70)))) (CONG _let_126 (TRANS (TRUE_INTRO (ASSUME |:args| (BOOLEAN_TERM_VARIABLE_13614))) _let_295) |:args| _let_125) _let_300 _let_297) |:args| _let_238) |:args| _let_240))) (let ((_let_302 (SYMM _let_301))) (let ((_let_303 (SYMM (ASSUME |:args| (_let_83))))) (let ((_let_304 (CONG _let_244 (CONG (TRANS (CONG _let_244 (CONG _let_299 (TRANS (SYMM _let_303) _let_300 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|:args| _let_189)) _let_188 |:args| (_let_204 false _let_187)))) (let ((_let_317 (ho_10 (ho_9 k_8 c_2Ebool_2EF) bool))) (let ((_let_318 (not _let_317))) (let ((_let_319 (or _let_318 _let_82))) (let ((_let_320 (c_2Ebool_2EF))) (let ((_let_321 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_319)) |:args| ((or _let_318 _let_82 (not _let_319)))) (EQ_RESOLVE (ASSUME |:args| (_let_12)) (PREPROCESS |:args| ((= _let_12 _let_317)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_121 |:args| _let_320) |:args| _let_128) (CONG _let_129 (CONG (REFL |:args| (_let_318)) (CONG (REFL |:args| _let_320) (CONG _let_126 (MACRO_SR_PRED_INTRO |:args| ((= _let_85 BOOLEAN_TERM_VARIABLE_5684))) |:args| _let_125) |:args| _let_124) |:args| _let_123) |:args| _let_122))) _let_121 |:args| (_let_319 false _let_120)) |:args| (_let_82 false _let_317 false _let_319)))) (let ((_let_322 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 |:args| _let_167) |:args| _let_146)) _let_145 |:args| (_let_211 false _let_144)))) (let ((_let_323 (ho_10 (ho_9 k_8 _let_34) bool))) (let ((_let_324 (not _let_323))) (let ((_let_325 (or _let_324 _let_212))) (let ((_let_326 (_let_34))) (let ((_let_327 (or _let_133 _let_104 _let_323))) (let ((_let_328 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_325)) |:args| ((or _let_324 _let_212 (not _let_325)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_327)) |:args| ((or _let_323 _let_104 _let_133 (not _let_327)))) _let_106 _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 |:args| (ty_2Eextreal_2Eextreal bool _let_32 _let_24)) |:args| _let_137)) _let_136 |:args| (_let_327 false _let_135)) |:args| (_let_323 false _let_103 false _let_132 false _let_327)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_121 |:args| _let_326) |:args| _let_128) (CONG _let_129 (CONG (REFL |:args| (_let_324)) (CONG (REFL |:args| _let_326) (CONG _let_126 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0)) |:args| ((or _let_107 _let_115))) _let_114 |:args| (_let_107 false _let_108)))) (let ((_let_333 (not _let_107))) (let ((_let_334 (not _let_215))) (let ((_let_335 (not _let_211))) (let ((_let_336 (not _let_204))) (let ((_let_337 (not BOOLEAN_TERM_VARIABLE_5876))) (let ((_let_338 (not _let_212))) (let ((_let_339 (not _let_82))) (let ((_let_340 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_86) BOOLEAN_TERM_VARIABLE_27621))))) (let ((_let_341 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_312) BOOLEAN_TERM_VARIABLE_5684))))) (let ((_let_342 (REFL |:args| (_let_339)))) (let ((_let_343 (REFL |:args| (_let_333)))) (let ((_let_344 (REFL |:args| (_let_335)))) (let ((_let_345 (REFL |:args| (_let_334)))) (let ((_let_346 (REFL |:args| (_let_336)))) (let ((_let_347 (REFL |:args| (_let_338)))) (let ((_let_348 (_let_337))) (let ((_let_349 (SYMM (SYMM (ASSUME |:args| (_let_212)))))) (let ((_let_350 (CONG _let_244 (CONG _let_299 (TRANS _let_298 _let_296 _let_303) |:args| _let_238) |:args| _let_240))) (let ((_let_351 (CONG _let_288 (TRANS (CONG (CONG _let_244 (CONG _let_350 _let_290 |:args| _let_238) |:args| _let_240) _let_290 |:args| _let_238) (SYMM (ASSUME |:args| (_let_215)))) |:args| _let_287))) (let ((_let_352 (ASSUME |:args| (_let_211)))) (let ((_let_353 (CONG _let_308 (TRANS (SYMM _let_352) _let_351 (SYMM (ASSUME |:args| (_let_204)))) |:args| _let_285))) (let ((_let_354 (SYMM _let_351))) (let ((_let_355 (SYMM (ASSUME |:args| (_let_107))))) (let ((_let_356 (SYMM (ASSUME |:args| (_let_82))))) (let ((_let_357 (SYMM (FALSE_INTRO (ASSUME |:args| (_let_312)))))) (let ((_let_358 (SYMM _let_292))) (let ((_let_359 (CONG _let_299 (TRANS _let_358 (CONG _let_126 (TRANS (FALSE_INTRO (ASSUME |:args| _let_280)) _let_357) |:args| _let_125) _let_356) |:args| _let_238))) (let ((_let_360 (CONG _let_288 _let_242 |:args| _let_287))) (let ((_let_361 (SYMM _let_286))) (let ((_let_362 (CONG (SYMM _let_245) _let_239 |:args| _let_238))) (let ((_let_363 (not _let_200))) (let ((_let_364 (REORDERING (EQUIV_ELIM1 _let_223) |:args| ((or _let_35 _let_337))))) (let ((_let_365 (REORDERING (CNF_EQUIV_NEG1 |:args| _let_229) |:args| ((or _let_200 _let_84 _let_203))))) (let ((_let_366 (MACRO_SR_PRED_INTRO |:args| ((= BOOLEAN_TERM_VARIABLE_27621 _let_43))))) (let ((_let_367 (skv_29 skv_28))) (let ((_let_368 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 |:args| _let_367) |:args| _let_146)) _let_145 |:args| (_let_207 false _let_144)))) (let ((_let_369 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 |:args| _let_367) |:args| _let_151)) _let_150 |:args| (_let_210 false _let_149)))) (let ((_let_370 (ho_10 (ho_9 k_8 _let_205) ty_2Eextreal_2Eextreal))) (let ((_let_371 (not _let_370))) (let ((_let_372 (or _let_371 _let_213))) (let ((_let_373 (ho_10 (ho_9 k_8 _let_209) ty_2Eextreal_2Eextreal))) (let ((_let_374 (not _let_210))) (let ((_let_375 (and _let_373 _let_210))) (let ((_let_376 (SYMM (ASSUME |:args| (_let_210))))) (let ((_let_377 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_372)) |:args| ((or _let_371 _let_213 (not _let_372)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG |:args| (_let_375)) (IMPLIES_ELIM (SCOPE (TRUE_ELIM (TRANS (CONG (CONG (REFL |:args| (k_8)) (SYMM _let_376) |:args| (23 ho_9)) (REFL |:args| (ty_2Eextreal_2Eextreal)) |:args| (23 ho_10)) (TRUE_INTRO (ASSUME |:args| (_let_373))))) |:args| (_let_373 _let_210))) |:args| (true _let_375)) |:args| ((or _let_370 _let_374 (not _let_373)))) _let_369 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 |:args| (_let_208)) |:args| _let_97)) _let_96 |:args| (_let_373 false _let_95)) |:args| (_let_370 false _let_210 false _let_373)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 |:args| (_let_205)) |:args| _let_158)) _let_157 |:args| (_let_372 false _let_156)) |:args| (_let_213 false _let_370 false _let_372)))) (let ((_let_378 (and _let_214 (= _let_24 (ho_4 _let_101 _let_31))))) (let ((_let_379 (or _let_104 _let_110 _let_378))) (let ((_let_380 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS |:args| (_let_378 0)) |:args| ((or _let_214 (not _let_378)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_379)) |:args| ((or _let_104 _let_110 _let_378 (not _let_379)))) _let_106 _let_113 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 |:args| (ty_2Eextreal_2Eextreal _let_24 _let_31)) |:args| _let_94)) _let_93 |:args| (_let_379 false _let_92)) |:args| (_let_378 false _let_103 false _let_109 false _let_379)) |:args| (_let_214 false _let_378)))) (let ((_let_381 (not _let_214))) (let ((_let_382 (not _let_213))) (let ((_let_383 (not _let_207))) (let ((_let_384 (REFL |:args| _let_235))) (let ((_let_385 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_313) _let_85))))) (let ((_let_386 (FALSE_INTRO _let_314))) (let ((_let_387 (CONG _let_126 (TRANS (FALSE_INTRO (ASSUME |:args| _let_348)) _let_357) |:args| _let_125))) (let ((_let_388 (CONG _let_299 (TRANS _let_349 _let_387 _let_356) |:args| _let_238))) (let ((_let_389 (CONG _let_244 _let_388 |:args| _let_240))) (let ((_let_390 (CONG _let_243 (TRANS _let_376 (SYMM (SYMM (ASSUME |:args| (_let_213)))) (CONG _let_308 (SYMM (ASSUME |:args| (_let_207))) |:args| _let_285) (CONG _let_308 (TRANS (CONG _let_288 (TRANS (CONG (CONG _let_244 (CONG _let_389 _let_239 |:args| _let_238) |:args| _let_240) _let_290 |:args| _let_238) (SYMM (ASSUME |:args| (_let_214)))) |:args| _let_287) _let_354 _let_352) |:args| _let_285) _let_353) |:args| _let_238))) (let ((_let_391 (CONG _let_308 (TRANS _let_361 _let_360 _let_289) |:args| _let_285))) (let ((_let_392 (SYMM (TRUE_INTRO (ASSUME |:args| (_let_84)))))) (let ((_let_393 (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_392 (CONG _let_246 (TRANS _let_362 (CONG (TRANS _let_245 (CONG _let_244 (TRANS (CONG _let_243 (TRANS _let_241 _let_391 (CONG _let_308 (TRANS (CONG _let_288 (TRANS (CONG (CONG _let_244 (CONG (TRANS (CONG _let_244 (TRANS _let_359 (SYMM _let_388)) |:args| _let_240) _let_389) _let_291 |:args| _let_238) |:args| _let_240) _let_290 |:args| _let_238) _let_355) |:args| _let_287) _let_354 _let_352) |:args| _let_285) _let_353) |:args| _let_238) (SYMM _let_390)) |:args| _let_240) (CONG _let_244 _let_390 |:args| _let_240)) _let_239 |:args| _let_238) _let_349 _let_387 _let_356) |:args| _let_237) _let_386)) |:args| (_let_313 _let_82 _let_312 _let_337 _let_212 _let_204 _let_215 _let_83 BOOLEAN_TERM_VARIABLE_5573 BOOLEAN_TERM_VARIABLE_13651 _let_69 _let_211 _let_214 _let_207 _let_213 _let_210 _let_107 _let_86 _let_58 _let_77 _let_79 _let_74 _let_84))) (CONG _let_385 _let_342 _let_341 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_337) BOOLEAN_TERM_VARIABLE_5876))) _let_347 _let_346 _let_345 _let_274 _let_279 _let_278 _let_277 _let_344 (REFL |:args| (_let_381)) (REFL |:args| (_let_383)) (REFL |:args| (_let_382)) (REFL |:args| (_let_374)) _let_343 _let_340 _let_282 _let_283 _let_231 _let_284 _let_384 |:args| _let_123)) |:args| ((or _let_85 _let_232 _let_269 _let_268 BOOLEAN_TERM_VARIABLE_5684 _let_339 BOOLEAN_TERM_VARIABLE_5876 _let_338 _let_336 _let_230 _let_383 _let_266 _let_265 _let_261 _let_260 _let_382 _let_374 _let_335 BOOLEAN_TERM_VARIABLE_27621 _let_258 _let_381 _let_334 _let_333))))) (let ((_let_394 (MACRO_RESOLUTION_TRUST _let_393 _let_332 _let_143 _let_331 _let_380 _let_377 _let_174 _let_328 _let_322 _let_369 _let_168 _let_190 _let_321 _let_255 _let_191 _let_368 _let_192 _let_316 _let_315 _let_250 _let_314 (REORDERING (EQUIV_ELIM1 _let_366) |:args| ((or _let_43 _let_86))) _let_365 _let_228 (REORDERING (CNF_OR_POS |:args| (_let_202)) |:args| ((or _let_35 _let_201 _let_49 (not _let_202)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 |:args| (skv_29 skv_30 skv_28)) |:args| _let_247)) _let_40 |:args| (_let_202 false _let_23)) _let_364 (REORDERING (CNF_AND_POS |:args| (_let_200 1)) |:args| ((or _let_35 _let_363))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_236) (CONG _let_246 (TRANS _let_362 (CONG (TRANS _let_245 (CONG _let_244 (CONG _let_243 (TRANS _let_241 (CONG _let_308 (TRANS _let_361 _let_360 _let_289 (CONG _let_288 (TRANS (CONG (CONG _let_244 (CONG (CONG _let_244 _let_359 |:args| _let_240) _let_291 |:args| _let_238) |:args| _let_240) _let_290 |:args| _let_238) _let_355) |:args| _let_287) _let_354) |:args| _let_285) (CONG _let_308 _let_352 |:args| _let_285) _let_353) |:args| _let_238) |:args| _let_240)) _let_239 |:args| _let_238) _let_349 (CONG _let_126 (TRANS (TRUE_INTRO (ASSUME |:args| (BOOLEAN_TERM_VARIABLE_5876))) _let_295) |:args| _let_125) _let_303) |:args| _let_237) (TRUE_INTRO _let_248))) |:args| (_let_222 _let_83 BOOLEAN_TERM_VARIABLE_5573 BOOLEAN_TERM_VARIABLE_5876 _let_212 _let_204 _let_215 BOOLEAN_TERM_VARIABLE_13651 _let_69 _let_211 _let_107 _let_82 _let_312 _let_86 _let_58 _let_77 _let_79 _let_74 _let_232))) (CONG (REFL |:args| (_let_249)) _let_274 _let_279 (REFL |:args| _let_348) _let_347 _let_346 _let_345 _let_278 _let_277 _let_344 _let_343 _let_342 _let_341 _let_340 _let_282 _let_283 _let_231 _let_284 _let_233 |:args| _let_123)) |:args| ((or _let_249 _let_84 _let_269 _let_268 BOOLEAN_TERM_VARIABLE_5684 _let_339 _let_338 _let_337 _let_336 _let_230 _let_266 _let_265 _let_261 _let_260 _let_335 BOOLEAN_TERM_VARIABLE_27621 _let_258 _let_334 _let_333))) _let_332 _let_143 _let_331 _let_174 _let_328 _let_322 _let_168 _let_190 _let_321 _let_255 _let_191 _let_192 _let_316 _let_315 _let_250 _let_248 (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME |:args| (_let_219)))) (CONG _let_246 (CONG (REFL |:args| (_let_216)) (TRANS (CONG _let_308 (TRANS (SYMM _let_311) (SYMM _let_307) _let_309) |:args| _let_285) (CONG _let_308 _let_310 |:args| _let_285) (CONG _let_308 (TRANS _let_307 (CONG _let_288 (TRANS (SYMM _let_305) (CONG (TRANS _let_304 (CONG _let_244 (CONG (TRANS _let_301 (CONG _let_244 (CONG _let_299 (TRANS _let_298 _let_296 (CONG _let_126 (TRANS _let_294 (SYMM _let_293)) |:args| _let_125) _let_292) |:args| _let_238) |:args| _let_240)) _let_291 |:args| _let_238) |:args| _let_240)) _let_290 |:args| _let_238)) |:args| _let_287) (SYMM _let_289) (CONG _let_288 (SYMM _let_242) |:args| _let_287) _let_286) |:args| _let_285)) |:args| _let_238) |:args| _let_237) (TRUE_INTRO (ASSUME |:args| (_let_221))))) |:args| (_let_221 _let_79 _let_74 _let_77 _let_58 BOOLEAN_TERM_VARIABLE_27621 BOOLEAN_TERM_VARIABLE_5573 BOOLEAN_TERM_VARIABLE_13651 _let_69 BOOLEAN_TERM_VARIABLE_13614 _let_70 _let_83 _let_57 _let_53 _let_63 _let_80 _let_219))) (CONG (REFL |:args| (_let_264)) _let_231 _let_284 _let_283 _let_282 _let_281 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_219) _let_218))) |:args| _let_123)) |:args| ((or _let_269 _let_268 _let_267 _let_230 _let_266 _let_265 _let_264 _let_263 _let_262 _let_261 _let_260 _let_259 _let_218 _let_258 _let_86 _let_257 _let_256))) _let_100 _let_116 _let_186 _let_143 _let_174 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_46 |:args| (_let_72 _let_72)) |:args| _let_47))) _let_46 |:args| (_let_221 false _let_45)) _let_148 _let_168 _let_176 _let_190 _let_255 _let_191 _let_192 _let_193 _let_250 (REORDERING (CNF_OR_POS |:args| (_let_220)) |:args| ((or _let_201 _let_217 _let_219 (not _let_220)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 |:args| (_let_72 skv_30 skv_28)) |:args| _let_247)) _let_40 |:args| (_let_220 false _let_23)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG |:args| (_let_234)) (IMPLIES_ELIM (SCOPE (FALSE_ELIM (TRANS (CONG _let_246 (CONG _let_245 _let_239 |:args| _let_238) |:args| _let_237) _let_236)) |:args| (_let_232 _let_79))) |:args| (true _let_234)) (CONG _let_233 _let_231 (REFL |:args| ((not _let_217))) |:args| _let_123)) _let_192 (CNF_EQUIV_NEG2 |:args| _let_229) _let_228 (REORDERING (EQUIV_ELIM2 _let_223) |:args| ((or _let_36 BOOLEAN_TERM_VARIABLE_5876))) (CNF_AND_NEG |:args| (_let_200)) |:args| ((or _let_201 _let_36) false _let_107 false _let_58 false _let_215 false _let_69 false _let_212 false _let_211 false BOOLEAN_TERM_VARIABLE_13651 false _let_74 false _let_82 false _let_83 false _let_77 false _let_79 false _let_204 true BOOLEAN_TERM_VARIABLE_5684 false BOOLEAN_TERM_VARIABLE_5573 false _let_222 true BOOLEAN_TERM_VARIABLE_27621 false _let_53 false _let_57 false _let_70 false _let_58 false _let_69 false _let_221 false _let_63 false BOOLEAN_TERM_VARIABLE_13651 false BOOLEAN_TERM_VARIABLE_13614 false _let_74 false _let_83 false _let_77 false _let_79 false _let_80 false BOOLEAN_TERM_VARIABLE_5573 true _let_218 false _let_220 true _let_217 false _let_79 true _let_84 true _let_203 false BOOLEAN_TERM_VARIABLE_5876 false _let_200)) |:args| (_let_201 false _let_107 false _let_58 false _let_215 false _let_214 false _let_213 false _let_69 false _let_212 false _let_211 false _let_210 false BOOLEAN_TERM_VARIABLE_13651 false _let_74 false _let_82 false _let_83 false _let_77 false _let_207 false _let_79 false _let_204 true BOOLEAN_TERM_VARIABLE_5684 false BOOLEAN_TERM_VARIABLE_5573 true _let_85 true BOOLEAN_TERM_VARIABLE_27621 false _let_84 true _let_203 true _let_43 false _let_202 true BOOLEAN_TERM_VARIABLE_5876 true _let_200 true _let_35)))) (let ((_let_395 (MACRO_RESOLUTION_TRUST _let_365 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS |:args| (_let_200 0)) |:args| ((or _let_30 _let_363))) _let_394 |:args| (_let_363 true _let_30)) _let_228 |:args| (_let_84 true _let_200 true _let_203)))) (let ((_let_396 (not _let_56))) (let ((_let_397 (not _let_65))) (let ((_let_398 (not _let_67))) (let ((_let_399 (not _let_78))) (let ((_let_400 (not _let_81))) (let ((_let_401 (CONG _let_126 (TRANS (FALSE_INTRO (ASSUME |:args| (_let_199))) _let_357) |:args| _let_125))) (let ((_let_402 (SYMM (SYMM (ASSUME |:args| (_let_81)))))) (let ((_let_403 (CONG _let_244 (CONG (TRANS _let_301 _let_350) _let_291 |:args| _let_238) |:args| _let_240))) (let ((_let_404 (CONG _let_288 (TRANS (CONG _let_403 _let_291 |:args| _let_238) _let_306) |:args| _let_287))) (let ((_let_405 (CONG _let_308 (TRANS _let_310 _let_404 _let_311) |:args| _let_285))) (let ((_let_406 (SYMM _let_404))) (let ((_let_407 (CONG _let_243 (TRANS (SYMM (ASSUME |:args| (_let_65))) (SYMM (SYMM (ASSUME |:args| (_let_67)))) (CONG _let_308 (SYMM (ASSUME |:args| (_let_78))) |:args| _let_285) (CONG _let_308 (TRANS (CONG _let_288 (TRANS (CONG (CONG _let_244 (CONG (CONG _let_244 (CONG _let_299 (TRANS _let_402 _let_401 _let_356) |:args| _let_238) |:args| _let_240) _let_239 |:args| _let_238) |:args| _let_240) _let_291 |:args| _let_238) (SYMM (ASSUME |:args| (_let_56)))) |:args| _let_287) _let_406 _let_309) |:args| _let_285) _let_405) |:args| _let_238))) (let ((_let_408 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_392 (CONG _let_246 (TRANS _let_362 (CONG (TRANS _let_245 (CONG _let_244 (TRANS (CONG _let_243 (TRANS _let_241 _let_391 (CONG _let_308 (TRANS (CONG _let_288 (TRANS (CONG (TRANS (CONG _let_244 (CONG (TRANS (CONG _let_244 (CONG _let_299 (TRANS _let_358 (CONG _let_126 (TRANS _let_293 _let_295) |:args| _let_125) _let_300 _let_297) |:args| _let_238) |:args| _let_240) _let_302) _let_291 |:args| _let_238) |:args| _let_240) _let_403) _let_290 |:args| _let_238) _let_305) |:args| _let_287) _let_406 _let_309) |:args| _let_285) _let_405) |:args| _let_238) (SYMM _let_407)) |:args| _let_240) (CONG _let_244 _let_407 |:args| _let_240)) _let_239 |:args| _let_238) _let_402 _let_401 _let_356) |:args| _let_237) _let_386)) |:args| (_let_313 _let_82 _let_312 _let_199 _let_81 _let_80 _let_53 _let_83 BOOLEAN_TERM_VARIABLE_5573 BOOLEAN_TERM_VARIABLE_13651 _let_69 BOOLEAN_TERM_VARIABLE_13614 _let_70 _let_63 _let_56 _let_78 _let_67 _let_65 _let_57 BOOLEAN_TERM_VARIABLE_27621 _let_58 _let_77 _let_79 _let_74 _let_84))) (CONG _let_385 _let_342 _let_341 (MACRO_SR_PRED_INTRO |:args| ((= (not _let_199) BOOLEAN_TERM_VARIABLE_5916))) (REFL |:args| (_let_400)) _let_270 _let_272 _let_274 _let_279 _let_278 _let_277 _let_276 _let_275 _let_271 (REFL |:args| (_let_396)) (REFL |:args| (_let_399)) (REFL |:args| (_let_398)) (REFL |:args| (_let_397)) _let_273 _let_281 _let_282 _let_283 _let_231 _let_284 _let_384 |:args| _let_123)) |:args| ((or _let_85 _let_232 _let_269 _let_268 BOOLEAN_TERM_VARIABLE_5684 _let_339 BOOLEAN_TERM_VARIABLE_5916 _let_400 _let_267 _let_230 _let_399 _let_266 _let_265 _let_263 _let_262 _let_261 _let_260 _let_398 _let_397 _let_259 _let_258 _let_86 _let_257 _let_396 _let_256))) _let_314 _let_395 _let_255 _let_250 _let_315 _let_321 (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (MACRO_SR_PRED_INTRO |:args| ((= BOOLEAN_TERM_VARIABLE_5916 _let_30)))) |:args| ((or _let_30 _let_199))) _let_394 |:args| (_let_199 true _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_196)) |:args| ((or _let_195 _let_81 (not _let_196)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_198)) |:args| ((or _let_194 _let_104 _let_182 (not _let_198)))) _let_106 _let_185 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 |:args| (ty_2Eextreal_2Eextreal bool _let_27 _let_24)) |:args| _let_137)) _let_136 |:args| (_let_198 false _let_135)) |:args| (_let_194 false _let_103 false _let_181 false _let_198)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (INSTANTIATE _let_121 |:args| _let_197) |:args| _let_128) (CONG _let_129 (CONG (REFL |:args| (_let_195)) (CONG (REFL |:args| _let_197) (CONG _let_126 (MACRO_SR_PRED_INTRO |:args| ((= _let_30 BOOLEAN_TERM_VARIABLE_5916))) |:args| _let_125) |:args| _let_124) |:args| _let_123) |:args| _let_122))) _let_121 |:args| (_let_196 false _let_120)) |:args| (_let_81 false _let_194 false _let_196)) _let_193 _let_192 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 |:args| _let_152) |:args| _let_146)) _let_145 |:args| (_let_78 false _let_144)) _let_191 _let_190 _let_186 _let_176 _let_174 _let_168 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_155)) |:args| ((or _let_154 _let_67 (not _let_155)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_162)) |:args| ((or _let_104 _let_153 _let_161 (not _let_162)))) _let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_165)) |:args| ((or _let_164 _let_90 _let_160 (not _let_165)))) (EQ_RESOLVE (ASSUME |:args| (_let_9)) (PREPROCESS |:args| ((= _let_9 _let_163)))) _let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 |:args| (ty_2Eextreal_2Eextreal _let_159 c_2Eextreal_2Eextreal__max _let_25)) |:args| _let_137)) _let_136 |:args| (_let_165 false _let_135)) |:args| (_let_160 false _let_163 false _let_89 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 |:args| (ty_2Eextreal_2Eextreal ty_2Eextreal_2Eextreal _let_60 _let_24)) |:args| _let_137)) _let_136 |:args| (_let_162 false _let_135)) |:args| (_let_153 false _let_103 false _let_160 false _let_162)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 |:args| (_let_64)) |:args| _let_158)) _let_157 |:args| (_let_155 false _let_156)) |:args| (_let_67 false _let_153 false _let_155)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_150 |:args| _let_152) |:args| _let_151)) _let_150 |:args| (_let_65 false _let_149)) _let_148 _let_143 _let_116 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS |:args| (_let_102 0)) |:args| ((or _let_56 (not _let_102)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_105)) |:args| ((or _let_104 _let_90 _let_102 (not _let_105)))) _let_106 _let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 |:args| (ty_2Eextreal_2Eextreal _let_24 _let_25)) |:args| _let_94)) _let_93 |:args| (_let_105 false _let_92)) |:args| (_let_102 false _let_103 false _let_89 false _let_105)) |:args| (_let_56 false _let_102)) _let_100 |:args| (_let_86 true _let_85 false _let_84 false _let_83 false BOOLEAN_TERM_VARIABLE_5573 true BOOLEAN_TERM_VARIABLE_5684 false _let_82 true BOOLEAN_TERM_VARIABLE_5916 false _let_81 false _let_80 false _let_79 false _let_78 false _let_77 false _let_74 false _let_70 false BOOLEAN_TERM_VARIABLE_13614 false _let_69 false BOOLEAN_TERM_VARIABLE_13651 false _let_67 false _let_65 false _let_63 false _let_58 false _let_57 false _let_56 false _let_53)))) (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 |:args| (skv_30 skv_29 skv_28)) |:args| _let_247)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_39)) |:args| ((or _let_30 _let_36 _let_38 _let_41))) _let_394 (MACRO_RESOLUTION_TRUST _let_364 (MACRO_RESOLUTION_TRUST _let_393 _let_314 _let_395 _let_255 _let_250 _let_315 _let_321 _let_328 _let_316 _let_192 _let_368 _let_191 _let_190 _let_174 _let_168 _let_377 _let_369 _let_322 _let_408 _let_143 _let_380 _let_331 _let_332 |:args| (BOOLEAN_TERM_VARIABLE_5876 true _let_85 false _let_84 false _let_83 false BOOLEAN_TERM_VARIABLE_5573 true BOOLEAN_TERM_VARIABLE_5684 false _let_82 false _let_212 false _let_204 false _let_79 false _let_207 false _let_77 false _let_74 false _let_69 false BOOLEAN_TERM_VARIABLE_13651 false _let_213 false _let_210 false _let_211 true BOOLEAN_TERM_VARIABLE_27621 false _let_58 false _let_214 false _let_215 false _let_107)) |:args| (_let_35 false BOOLEAN_TERM_VARIABLE_5876)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS |:args| (_let_44)) |:args| ((or _let_37 _let_43 (not _let_44)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM2 _let_366) |:args| ((or _let_49 BOOLEAN_TERM_VARIABLE_27621))) _let_408 |:args| (_let_49 true BOOLEAN_TERM_VARIABLE_27621)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 |:args| _let_48) |:args| _let_47)) _let_46 |:args| (_let_44 false _let_45)) |:args| (_let_37 true _let_43 false _let_44)) |:args| (_let_41 true _let_30 false _let_35 false _let_37)) _let_40 |:args| (false true _let_39 false _let_23)) |:args| ((forall ((A del) (B del) (F (-> $$unsorted $$unsorted))) (=> (forall ((X $$unsorted)) (=> ((mem X) A) ((mem (F X)) B))) ((mem ((lam A) F)) ((arr A) B)))) (forall ((A del) (F (-> $$unsorted $$unsorted)) (X $$unsorted)) (=> ((mem X) A) (= ((ap ((lam A) F)) X) (F X)))) (forall ((X Bool)) (= (p (inj__o X)) X)) (forall ((X Bool)) ((mem (inj__o X)) bool)) _let_22 _let_21 (forall ((A del) (B del) (F $$unsorted)) (=> ((mem F) ((arr A) B)) (forall ((G $$unsorted)) (=> ((mem G) ((arr A) B)) (=> (forall ((X $$unsorted)) (=> ((mem X) A) (= ((ap F) X) ((ap G) X)))) (= F G)))))) (forall ((A del) (X $$unsorted)) (=> ((mem X) A) (forall ((Y $$unsorted)) (=> ((mem Y) A) (= (p ((ap ((ap (c_2Emin_2E_3D A)) X)) Y)) (= X Y)))))) (forall ((V0A $$unsorted)) (let ((_let_1 (p V0A))) (=> ((mem V0A) bool) (=> (=> (not _let_1) false) (=> (=> _let_1 false) false))))) _let_20 true _let_19 (forall ((V0t $$unsorted)) (let ((_let_1 (p V0t))) (let ((_let_2 (= (not _let_1) (= _let_1 false)))) (=> ((mem V0t) bool) (and (= _let_1 (= true _let_1)) _let_2 _let_2 (= (= _let_1 true) _let_1)))))) _let_18 ((mem c_2Ebool_2E_5C_2F) _let_6) (forall ((Q $$unsorted)) (=> ((mem Q) bool) (= (p ((ap c_2Ebool_2E_7E) Q)) (not (p Q))))) (and (forall ((V0t $$unsorted)) (let ((_let_1 (p V0t))) (=> ((mem V0t) bool) (= (not (not _let_1)) _let_1)))) (= _let_1 true) (= false (not true))) (forall ((Q $$unsorted)) (=> ((mem Q) bool) (forall ((R $$unsorted)) (=> ((mem R) bool) (= (=> (p Q) (p R)) (p ((ap ((ap c_2Emin_2E_3D_3D_3E) Q)) R))))))) _let_17 (forall ((V0p $$unsorted)) (=> ((mem V0p) bool) (forall ((V1q $$unsorted)) (=> ((mem V1q) bool) (forall ((V2r $$unsorted)) (let ((_let_1 (p V0p))) (let ((_let_2 (not _let_1))) (let ((_let_3 (p V1q))) (let ((_let_4 (p V2r))) (=> ((mem V2r) bool) (= (= _let_1 (and _let_3 _let_4)) (and (or _let_1 (not _let_4) (not _let_3)) (or _let_4 _let_2) (or _let_3 _let_2))))))))))))) _let_16 ((mem c_2Emin_2E_3D_3D_3E) _let_6) (forall ((V0p $$unsorted)) (=> ((mem V0p) bool) (forall ((V1q $$unsorted)) (let ((_let_1 (p V0p))) (let ((_let_2 (p V1q))) (let ((_let_3 (not _let_2))) (=> ((mem V1q) bool) (= (= _let_1 _let_3) (and (or _let_1 _let_2) (or _let_3 (not _let_1))))))))))) (forall ((V0A $$unsorted)) (=> ((mem V0A) bool) (forall ((V1B $$unsorted)) (let ((_let_1 (p V1B))) (let ((_let_2 (not _let_1))) (let ((_let_3 (p V0A))) (let ((_let_4 (not _let_3))) (=> ((mem V1B) bool) (and (= (or _let_2 _let_4) (not (and _let_3 _let_1))) (= (not (or _let_3 _let_1)) (and _let_4 _let_2))))))))))) _let_15 (forall ((V0t $$unsorted)) (=> ((mem V0t) bool) (=> false (p V0t)))) _let_14 (forall ((V0A $$unsorted)) (=> ((mem V0A) bool) (forall ((V1B $$unsorted)) (let ((_let_1 (p V1B))) (let ((_let_2 (p V0A))) (=> ((mem V1B) bool) (= (or _let_1 _let_2) (or _let_2 _let_1)))))))) (forall ((A_27a del) (V0x $$unsorted)) (=> ((mem V0x) A_27a) (forall ((V1y $$unsorted)) (=> ((mem V1y) A_27a) (= (= V1y V0x) (= V0x V1y)))))) (forall ((V0t $$unsorted)) (let ((_let_1 (p V0t))) (=> ((mem V0t) bool) (or (not _let_1) _let_1)))) _let_13 _let_12 (forall ((V0t $$unsorted)) (let ((_let_1 (p V0t))) (=> ((mem V0t) bool) (=> (=> _let_1 false) (not _let_1))))) (forall ((V0p $$unsorted)) (=> ((mem V0p) bool) (forall ((V1q $$unsorted)) (=> ((mem V1q) bool) (forall ((V2r $$unsorted)) (let ((_let_1 (p V2r))) (let ((_let_2 (p V0p))) (let ((_let_3 (p V1q))) (=> ((mem V2r) bool) (= (= (or _let_3 _let_1) _let_2) (and (or _let_2 (not _let_3)) (or (not _let_1) _let_2) (or _let_3 (not _let_2) _let_1)))))))))))) _let_11 (forall ((A del) (Q $$unsorted)) (=> ((mem Q) ((arr A) bool)) (= (forall ((X $$unsorted)) (=> ((mem X) A) (p ((ap Q) X)))) (p ((ap (c_2Ebool_2E_21 A)) Q))))) (forall ((A_27a del)) (let ((_let_1 (arr A_27a))) ((mem (c_2Emin_2E_3D A_27a)) (_let_1 (_let_1 bool))))) (forall ((V0A $$unsorted)) (=> ((mem V0A) bool) (forall ((V1B $$unsorted)) (let ((_let_1 (p V1B))) (let ((_let_2 (p V0A))) (=> ((mem V1B) bool) (= (=> (not (or (not _let_2) _let_1)) false) (=> _let_2 (=> (not _let_1) false))))))))) (forall ((V0t $$unsorted)) (let ((_let_1 (p V0t))) (=> ((mem V0t) bool) (and (= (=> true _let_1) _let_1) (= true (=> _let_1 true)) (= (=> false _let_1) true) (= (not _let_1) (=> _let_1 false)) (= (=> _let_1 _let_1) true))))) _let_10 _let_9 (forall ((V0t $$unsorted)) (let ((_let_1 (p V0t))) (=> ((mem V0t) bool) (= (not (not _let_1)) _let_1)))) (forall ((V0p $$unsorted)) (=> ((mem V0p) bool) (forall ((V1q $$unsorted)) (=> ((mem V1q) bool) (forall ((V2r $$unsorted)) (let ((_let_1 (p V1q))) (let ((_let_2 (p V2r))) (let ((_let_3 (p V0p))) (let ((_let_4 (not _let_1))) (let ((_let_5 (not _let_2))) (let ((_let_6 (not _let_3))) (=> ((mem V2r) bool) (= (= _let_3 (= _let_2 _let_1)) (and (or _let_1 _let_6 _let_5) (or _let_2 _let_4 _let_6) (or _let_3 _let_5 _let_4) (or _let_3 _let_2 _let_1))))))))))))))) _let_8 (forall ((Q $$unsorted)) (=> ((mem Q) bool) (forall ((R $$unsorted)) (=> ((mem R) bool) (= (and (p R) (p Q)) (p ((ap ((ap c_2Ebool_2E_2F_5C) Q)) R))))))) (forall ((V0p $$unsorted)) (=> ((mem V0p) bool) (forall ((V1q $$unsorted)) (=> ((mem V1q) bool) (forall ((V2r $$unsorted)) (let ((_let_1 (p V0p))) (let ((_let_2 (p V2r))) (let ((_let_3 (p V1q))) (=> ((mem V2r) bool) (= (and (or _let_3 _let_1) (or (not _let_2) _let_1) (or (not _let_1) _let_2 (not _let_3))) (= (=> _let_3 _let_2) _let_1))))))))))) (forall ((A_27a del)) ((mem (c_2Ebool_2E_21 A_27a)) ((arr ((arr A_27a) bool)) bool))) (forall ((V0A $$unsorted)) (=> ((mem V0A) bool) (forall ((V1B $$unsorted)) (let ((_let_1 (p V0A))) (let ((_let_2 (p V1B))) (=> ((mem V1B) bool) (= (=> (=> _let_1 false) (=> (not _let_2) false)) (=> (not (or _let_2 _let_1)) false)))))))) (forall ((Q $$unsorted)) (=> ((mem Q) bool) (forall ((R $$unsorted)) (=> ((mem R) bool) (= (or (p R) (p Q)) (p ((ap ((ap c_2Ebool_2E_5C_2F) Q)) R))))))) ((mem c_2Ebool_2E_7E) _let_5) (forall ((V0A $$unsorted)) (=> ((mem V0A) bool) (forall ((V1B $$unsorted)) (=> ((mem V1B) bool) (forall ((V2C $$unsorted)) (let ((_let_1 (or (p V2C) (p V1B) (p V0A)))) (=> ((mem V2C) bool) (= _let_1 _let_1)))))))) _let_7 (forall ((A_27a del)) (let ((_let_1 (arr A_27a))) ((mem (c_2Ebool_2ECOND A_27a)) ((arr bool) (_let_1 (_let_1 A_27a)))))) ((mem c_2Ebool_2E_2F_5C) _let_6) _let_3 (forall ((V0t1 $$unsorted)) (=> ((mem V0t1) bool) (forall ((V1t2 $$unsorted)) (let ((_let_1 (p V1t2))) (let ((_let_2 (p V0t1))) (=> ((mem V1t2) bool) (=> (=> _let_2 _let_1) (=> (=> _let_1 _let_2) (= _let_2 _let_1))))))))) (forall ((V0A $$unsorted)) (let ((_let_1 (p V0A))) (=> ((mem V0A) bool) (=> _let_1 (=> (not _let_1) false))))) (forall ((V0t $$unsorted)) (let ((_let_1 (p V0t))) (=> ((mem V0t) bool) (=> (not _let_1) (=> _let_1 false))))) _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
98.76/99.34	)
98.76/99.34	% SZS output end Proof for theBenchmark
98.76/99.34	EOF