0.04/0.15 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.15 % Command : do_cvc5 %s %d 0.15/0.37 % Computer : n021.cluster.edu 0.15/0.37 % Model : x86_64 x86_64 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.37 % Memory : 8042.1875MB 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.37 % CPULimit : 960 0.15/0.37 % WCLimit : 120 0.15/0.37 % DateTime : Tue Aug 9 04:47:35 EDT 2022 0.15/0.38 % CPUTime : 0.37/0.54 %----Proving TF0_ARI 16.17/16.37 ------- cvc5-tfa casc j11 : /export/starexec/sandbox/benchmark/theBenchmark.p at /export/starexec/sandbox/benchmark/theBenchmark.p... 16.17/16.37 --- Run --finite-model-find --decision=internal at 15... 16.17/16.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... 16.17/16.37 % SZS status Theorem for theBenchmark 16.17/16.37 % SZS output start Proof for theBenchmark 16.17/16.37 (let ((_let_1 (forall ((J uni)) (= (t2tb1 (tb2t1 J)) J)))) (let ((_let_2 (forall ((A ty) (U uni)) (=> (sort1 A U) (= (some_proj_11 A (some A U)) U))))) (let ((_let_3 (forall ((L list_int)) (= (no_zero1 L) (forall ((J Int)) (let ((_let_1 (t2tb1 L))) (=> (and (< J (length1 int _let_1)) (<= 0 J)) (not (= (tb2t (nth1 int J _let_1)) (tb2t (some int (t2tb2 0)))))))))))) (let ((_let_4 (forall ((I list_int)) (= (tb2t1 (t2tb1 I)) I)))) (let ((_let_5 (forall ((A ty) (L uni)) (<= 0 (length1 A L))))) (let ((_let_6 (forall ((J uni)) (= (t2tb (tb2t J)) J)))) (let ((_let_7 (forall ((L list_int) (I Int)) (= (and (= (tb2t (nth1 int I (t2tb1 L))) (tb2t (some int (t2tb2 0)))) (forall ((J Int)) (=> (and (< J I) (<= 0 J)) (not (= (tb2t (nth1 int J (t2tb1 L))) (tb2t (some int (t2tb2 0)))))))) (zero_at1 L I))))) (let ((_let_8 (forall ((A ty)) (and (= (length1 A (nil A)) 0) (forall ((X uni) (X1 uni)) (= (length1 A (cons A X X1)) (+ 1 (length1 A X1)))))))) (let ((_let_9 (forall ((A ty) (L uni)) (= (= L (nil A)) (= (length1 A L) 0))))) (let ((_let_10 (forall ((A ty) (V uni) (V1 uni)) (not (= (nil A) (cons A V V1)))))) (let ((_let_11 (forall ((A ty) (N Int)) (and (= (nth1 A N (nil A)) (none A)) (forall ((X uni) (X1 uni)) (let ((_let_1 (nth1 A N (cons A X X1)))) (let ((_let_2 (= N 0))) (and (=> (not _let_2) (= _let_1 (nth1 A (- N 1) X1))) (=> _let_2 (= _let_1 (some A X))))))))))) (let ((_let_12 (forall ((I Int)) (= (tb2t2 (t2tb2 I)) I)))) (let ((_let_13 (not (forall ((I Int)) (let ((_let_1 (nil int))) (let ((_let_2 (+ I (length1 int _let_1)))) (let ((_let_3 (tb2t1 _let_1))) (and (forall ((X Int) (X1 list_int)) (let ((_let_1 (cons int (t2tb2 X) (t2tb1 X1)))) (let ((_let_2 (tb2t1 _let_1))) (let ((_let_3 (+ I (length1 int _let_1)))) (let ((_let_4 (= X 0))) (and (=> (not _let_4) (and (not (= _let_2 (tb2t1 (nil int)))) (forall ((X2 Int) (X3 list_int)) (=> (= (tb2t1 (cons int (t2tb2 X) (t2tb1 X1))) (tb2t1 (cons int (t2tb2 X2) (t2tb1 X3)))) (= X3 X1))) (forall ((Result Int)) (let ((_let_1 (t2tb1 X1))) (let ((_let_2 (cons int (t2tb2 X) _let_1))) (let ((_let_3 (tb2t1 _let_2))) (let ((_let_4 (+ I (length1 int _let_2)))) (let ((_let_5 (+ I 1))) (let ((_let_6 (+ _let_5 (length1 int _let_1)))) (=> (or (and (= Result _let_6) (no_zero1 X1)) (and (zero_at1 X1 (- Result _let_5)) (< Result _let_6) (<= _let_5 Result))) (or (and (no_zero1 _let_3) (= Result _let_4)) (and (< Result _let_4) (zero_at1 _let_3 (- Result I)) (<= I Result))))))))))))) (=> _let_4 (or (and (zero_at1 _let_2 (- I I)) (< I _let_3) (<= I I)) (and (= I _let_3) (no_zero1 _let_2)))))))))) (or (and (no_zero1 _let_3) (= I _let_2)) (and (<= I I) (zero_at1 _let_3 (- I I)) (< I _let_2))))))))))) (let ((_let_14 (forall ((X Int)) (sort1 int (t2tb2 X))))) (let ((_let_15 (forall ((A ty) (U uni) (U1 uni)) (= (cons_proj_21 A (cons A U U1)) U1)))) (let ((_let_16 (t2tb1 skv_6))) (let ((_let_17 (t2tb2 skv_5))) (let ((_let_18 (cons int _let_17 _let_16))) (let ((_let_19 (tb2t1 _let_18))) (let ((_let_20 (t2tb1 _let_19))) (let ((_let_21 (= _let_18 _let_20))) (let ((_let_22 (t2tb2 0))) (let ((_let_23 (some int _let_22))) (let ((_let_24 (tb2t _let_23))) (let ((_let_25 (= _let_23 (t2tb _let_24)))) (let ((_let_26 (nth1 int skv_13 _let_20))) (let ((_let_27 (tb2t _let_26))) (let ((_let_28 (= _let_26 (t2tb _let_27)))) (let ((_let_29 (nth1 int 0 _let_20))) (let ((_let_30 (tb2t _let_29))) (let ((_let_31 (= _let_29 (t2tb _let_30)))) (let ((_let_32 (= _let_24 _let_30))) (let ((_let_33 (= _let_24 _let_27))) (let ((_let_34 (= skv_13 0))) (let ((_let_35 (forall ((J uni)) (= J (t2tb1 (tb2t1 J)))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 ((tb2t1 J)))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_21 false _let_35)))) (let ((_let_40 (forall ((J uni)) (= J (t2tb (tb2t J)))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (_let_40))) (let ((_let_43 ((tb2t J)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42)) _let_41 :args (_let_25 false _let_40)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42)) _let_41 :args (_let_28 false _let_40)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42)) _let_41 :args (_let_31 false _let_40)))) (let ((_let_47 (= (tb2t2 _let_22) 0))) (let ((_let_48 (= skv_5 (tb2t2 _let_17)))) (let ((_let_49 (some int _let_17))) (let ((_let_50 (= _let_49 (nth1 int 0 _let_18)))) (let ((_let_51 (= _let_22 (some_proj_11 int _let_23)))) (let ((_let_52 (= _let_17 (some_proj_11 int _let_49)))) (let ((_let_53 (= skv_5 0))) (let ((_let_54 (not _let_32))) (let ((_let_55 (forall ((I Int)) (= I (tb2t2 (t2tb2 I)))))) (let ((_let_56 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_57 (_let_55))) (let ((_let_58 ((t2tb2 I)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_56 :args (0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_57))) _let_56 :args (_let_47 false _let_55)))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (skv_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_57)) _let_56 :args (_let_48 false _let_55)))) (let ((_let_61 (forall ((BOUND_VARIABLE_1271 ty) (BOUND_VARIABLE_1299 uni) (BOUND_VARIABLE_1297 uni)) (= (some BOUND_VARIABLE_1271 BOUND_VARIABLE_1297) (nth1 BOUND_VARIABLE_1271 0 (cons BOUND_VARIABLE_1271 BOUND_VARIABLE_1297 BOUND_VARIABLE_1299)))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (AND_ELIM _let_62 :args (2)))) (let ((_let_64 (_let_61))) (let ((_let_65 ((cons BOUND_VARIABLE_1271 BOUND_VARIABLE_1297 BOUND_VARIABLE_1299)))) (let ((_let_66 (ASSUME :args _let_64))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (int _let_16 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_50 false _let_61)))) (let ((_let_68 (sort1 int _let_22))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_51))) (let ((_let_71 (forall ((A ty) (U uni)) (or (not (sort1 A U)) (= U (some_proj_11 A (some A U))))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (_let_71))) (let ((_let_74 ((not (= (sort1 A U) false))))) (let ((_let_75 (_let_14))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 ((t2tb2 X)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_69 _let_51 (not _let_70)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_75)) _let_76 :args (_let_68 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (int _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_70 false _let_71)) :args (_let_51 false _let_68 false _let_70)))) (let ((_let_79 (sort1 int _let_17))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_52))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_80 _let_52 (not _let_81)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (skv_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_75)) _let_76 :args (_let_79 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (int _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_81 false _let_71)) :args (_let_52 false _let_79 false _let_81)))) (let ((_let_83 (* (- 1) skv_7))) (let ((_let_84 (+ skv_4 _let_83))) (let ((_let_85 (>= _let_84 1))) (let ((_let_86 (not _let_85))) (let ((_let_87 (* (- 1) skv_4))) (let ((_let_88 (+ _let_87 skv_7))) (let ((_let_89 (zero_at1 _let_19 _let_88))) (let ((_let_90 (length1 int _let_18))) (let ((_let_91 (+ skv_4 _let_83 _let_90))) (let ((_let_92 (>= _let_91 1))) (let ((_let_93 (and _let_92 _let_89 _let_86))) (let ((_let_94 (* (- 1) _let_90))) (let ((_let_95 (= skv_4 (+ skv_7 _let_94)))) (let ((_let_96 (no_zero1 _let_19))) (let ((_let_97 (and _let_96 _let_95))) (let ((_let_98 (>= _let_84 0))) (let ((_let_99 (length1 int _let_16))) (let ((_let_100 (+ skv_4 _let_83 _let_99))) (let ((_let_101 (>= _let_100 0))) (let ((_let_102 (not _let_101))) (let ((_let_103 (+ (- 1) _let_87 skv_7))) (let ((_let_104 (zero_at1 skv_6 _let_103))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or _let_105 _let_102 _let_98))) (let ((_let_107 (no_zero1 skv_6))) (let ((_let_108 (not _let_107))) (let ((_let_109 (* (- 1) _let_99))) (let ((_let_110 (+ (- 1) skv_7 _let_109))) (let ((_let_111 (= skv_4 _let_110))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_112 _let_108))) (let ((_let_114 (and _let_113 _let_106))) (let ((_let_115 (or _let_114 _let_97 _let_93))) (let ((_let_116 (= skv_6 skv_8))) (let ((_let_117 (t2tb1 skv_8))) (let ((_let_118 (t2tb2 skv_9))) (let ((_let_119 (cons int _let_118 _let_117))) (let ((_let_120 (tb2t1 _let_119))) (let ((_let_121 (= _let_19 _let_120))) (let ((_let_122 (not _let_121))) (let ((_let_123 (or _let_122 _let_116))) (let ((_let_124 (nil int))) (let ((_let_125 (tb2t1 _let_124))) (let ((_let_126 (= _let_125 _let_19))) (let ((_let_127 (not _let_126))) (let ((_let_128 (and _let_127 _let_123 _let_115))) (let ((_let_129 (or _let_53 _let_128))) (let ((_let_130 (forall ((BOUND_VARIABLE_1115 Int) (BOUND_VARIABLE_955 Int) (BOUND_VARIABLE_957 list_int) (BOUND_VARIABLE_1043 Int) (BOUND_VARIABLE_1033 list_int) (BOUND_VARIABLE_1031 Int)) (let ((_let_1 (* (- 1) BOUND_VARIABLE_1115))) (let ((_let_2 (+ BOUND_VARIABLE_1043 _let_1))) (let ((_let_3 (t2tb1 BOUND_VARIABLE_957))) (let ((_let_4 (cons int (t2tb2 BOUND_VARIABLE_955) _let_3))) (let ((_let_5 (tb2t1 _let_4))) (let ((_let_6 (length1 int _let_4))) (let ((_let_7 (length1 int _let_3))) (or (= BOUND_VARIABLE_955 0) (and (not (= (tb2t1 (nil int)) _let_5)) (or (not (= _let_5 (tb2t1 (cons int (t2tb2 BOUND_VARIABLE_1031) (t2tb1 BOUND_VARIABLE_1033))))) (= BOUND_VARIABLE_957 BOUND_VARIABLE_1033)) (or (and (or (not (= BOUND_VARIABLE_1043 (+ 1 BOUND_VARIABLE_1115 _let_7))) (not (no_zero1 BOUND_VARIABLE_957))) (or (not (zero_at1 BOUND_VARIABLE_957 (+ (- 1) BOUND_VARIABLE_1043 _let_1))) (>= (+ BOUND_VARIABLE_1043 _let_1 (* (- 1) _let_7)) 1) (not (>= _let_2 1)))) (and (no_zero1 _let_5) (= BOUND_VARIABLE_1043 (+ BOUND_VARIABLE_1115 _let_6))) (and (not (>= (+ BOUND_VARIABLE_1043 _let_1 (* (- 1) _let_6)) 0)) (zero_at1 _let_5 _let_2) (>= _let_2 0))))))))))))))) (let ((_let_131 (not _let_129))) (let ((_let_132 (forall ((BOUND_VARIABLE_1004 list_int)) (let ((_let_1 (cons int (t2tb2 0) (t2tb1 BOUND_VARIABLE_1004)))) (let ((_let_2 (tb2t1 _let_1))) (let ((_let_3 (length1 int _let_1))) (or (and (zero_at1 _let_2 0) (>= _let_3 1)) (and (= _let_3 0) (no_zero1 _let_2))))))))) (let ((_let_133 (length1 int _let_124))) (let ((_let_134 (= _let_133 0))) (let ((_let_135 (no_zero1 _let_125))) (let ((_let_136 (and _let_135 _let_134))) (let ((_let_137 (or _let_136 (and (zero_at1 _let_125 0) (>= _let_133 1))))) (let ((_let_138 (not _let_130))) (let ((_let_139 (t2tb1 skv_3))) (let ((_let_140 (cons int _let_22 _let_139))) (let ((_let_141 (tb2t1 _let_140))) (let ((_let_142 (length1 int _let_140))) (let ((_let_143 (>= _let_142 1))) (let ((_let_144 (zero_at1 _let_141 0))) (let ((_let_145 (and _let_144 _let_143))) (let ((_let_146 (or _let_145 (and (= _let_142 0) (no_zero1 _let_141))))) (let ((_let_147 (length1 int _let_139))) (let ((_let_148 (= _let_142 (+ 1 _let_147)))) (let ((_let_149 (>= _let_147 0))) (let ((_let_150 (forall ((BOUND_VARIABLE_1351 ty) (X uni) (X1 uni)) (= (length1 BOUND_VARIABLE_1351 X1) (+ (- 1) (length1 BOUND_VARIABLE_1351 (cons BOUND_VARIABLE_1351 X X1))))))) (let ((_let_151 (1))) (let ((_let_152 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args _let_151))) (let ((_let_153 (_let_150))) (let ((_let_154 ((cons BOUND_VARIABLE_1351 X X1)))) (let ((_let_155 (ASSUME :args _let_153))) (let ((_let_156 (forall ((A ty) (L uni)) (>= (length1 A L) 0)))) (let ((_let_157 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_158 (OR))) (let ((_let_159 ((not _let_149)))) (let ((_let_160 (not _let_143))) (let ((_let_161 (_let_149))) (let ((_let_162 (false))) (let ((_let_163 (ASSUME :args (_let_148)))) (let ((_let_164 (ASSUME :args (_let_160)))) (let ((_let_165 (ASSUME :args _let_161))) (let ((_let_166 (t2tb1 _let_141))) (let ((_let_167 (= _let_24 (tb2t (nth1 int 0 _let_166))))) (let ((_let_168 (= _let_144 _let_167))) (let ((_let_169 (forall ((L list_int) (I Int)) (= (zero_at1 L I) (and (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int I (t2tb1 L)))) (forall ((J Int)) (or (not (>= (+ I (* (- 1) J)) 1)) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 L)))))))))))) (let ((_let_170 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_171 (_let_169))) (let ((_let_172 ((zero_at1 L I)))) (let ((_let_173 (= _let_140 _let_166))) (let ((_let_174 (= _let_23 (nth1 int 0 _let_140)))) (let ((_let_175 (and _let_174 _let_173))) (let ((_let_176 (APPLY_UF tb2t))) (let ((_let_177 (APPLY_UF nth1))) (let ((_let_178 (ASSUME :args (_let_173)))) (let ((_let_179 (REFL :args (0)))) (let ((_let_180 (REFL :args (int)))) (let ((_let_181 (ASSUME :args (_let_174)))) (let ((_let_182 (not _let_132))) (let ((_let_183 (_let_182))) (let ((_let_184 (_let_9))) (let ((_let_185 (ASSUME :args _let_184))) (let ((_let_186 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_185 :args (int _let_124 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((length1 A L)))) :args _let_184))) :args ((or _let_134 (not _let_9)))) _let_185 :args (_let_134 false _let_9)))) (let ((_let_187 (forall ((J Int)) (let ((_let_1 (t2tb1 (tb2t1 (nil int))))) (or (>= (+ J (* (- 1) (length1 int _let_1))) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J _let_1))))))))) (let ((_let_188 (= _let_135 _let_187))) (let ((_let_189 (forall ((L list_int)) (= (no_zero1 L) (forall ((J Int)) (let ((_let_1 (t2tb1 L))) (or (>= (+ J (* (- 1) (length1 int _let_1))) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J _let_1))))))))))) (let ((_let_190 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_191 (_let_189))) (let ((_let_192 ((no_zero1 L)))) (let ((_let_193 (t2tb1 _let_125))) (let ((_let_194 (>= skv_10 0))) (let ((_let_195 (not _let_194))) (let ((_let_196 (length1 int _let_193))) (let ((_let_197 (+ skv_10 (* (- 1) _let_196)))) (let ((_let_198 (>= _let_197 0))) (let ((_let_199 (or _let_198 _let_195 (not (= _let_24 (tb2t (nth1 int skv_10 _let_193))))))) (let ((_let_200 (= _let_124 _let_193))) (let ((_let_201 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_124 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_200 false _let_35)))) (let ((_let_202 (not _let_200))) (let ((_let_203 (not _let_134))) (let ((_let_204 (not _let_198))) (let ((_let_205 (= _let_196 0))) (let ((_let_206 (< _let_197 0))) (let ((_let_207 (_let_206))) (let ((_let_208 (1.0 1.0 (- 1.0)))) (let ((_let_209 (ASSUME :args (_let_194)))) (let ((_let_210 (ASSUME :args (_let_204)))) (let ((_let_211 (ASSUME :args (_let_134)))) (let ((_let_212 (APPLY_UF length1))) (let ((_let_213 (ASSUME :args (_let_200)))) (let ((_let_214 (SYMM _let_213))) (let ((_let_215 (not _let_187))) (let ((_let_216 (_let_215))) (let ((_let_217 (+ skv_7 _let_87))) (let ((_let_218 (_let_138))) (let ((_let_219 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_218)) :args _let_218) (REWRITE :args ((=> _let_138 (not (or _let_53 (and _let_127 _let_123 (or (and (or (not (= skv_7 (+ 1 skv_4 _let_99))) _let_108) (or (not (zero_at1 skv_6 (+ (- 1) skv_7 _let_87))) (>= (+ skv_7 _let_87 _let_109) 1) (not (>= _let_217 1)))) (and _let_96 (= skv_7 (+ skv_4 _let_90))) (and (not (>= (+ skv_7 _let_87 _let_94) 0)) (zero_at1 _let_19 _let_217) (>= _let_217 0))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_138) _let_130))) (REFL :args (_let_131)) :args _let_158)) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_137 0)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_136)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_188)) :args ((or _let_135 _let_215 (not _let_188)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_216)) :args _let_216)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_215) _let_187))) (REFL :args ((not _let_199))) :args _let_158)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_209 (MODUS_PONENS (AND_INTRO _let_211 _let_213) (SCOPE (TRANS (CONG _let_180 _let_214 :args _let_212) (SYMM (SYMM _let_211))) :args (_let_134 _let_200))) _let_210) :args (_let_134 _let_200 _let_194 _let_204)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_210 :args _let_207) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_207) (ASSUME :args (_let_205)) _let_209 :args _let_208) :args _let_162) :args _let_207) :args (_let_198)) :args ((not _let_206)))) :args (_let_194 _let_205 _let_204)) :args ((not (and _let_134 _let_200 _let_194 _let_204)) SB_LITERAL))) (CONG (REFL :args (_let_203)) (REFL :args (_let_202)) (REFL :args (_let_195)) (MACRO_SR_PRED_INTRO :args ((= (not _let_204) _let_198))) :args _let_158)) :args ((or _let_203 _let_202 _let_198 _let_195))) _let_201 _let_186 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_199 1)) (CONG (REFL :args (_let_199)) (MACRO_SR_PRED_INTRO :args ((= (not _let_195) _let_194))) :args _let_158)) :args ((or _let_194 _let_199))) (CNF_OR_NEG :args (_let_199 0)) :args (_let_199 false _let_200 false _let_134 false _let_194 true _let_198)) :args (_let_187 false _let_199)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_125 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_192)) :args _let_191)) _let_190 :args (_let_188 false _let_189)) :args (_let_135 false _let_187 false _let_188)) _let_186 :args (_let_136 false _let_135 false _let_134)) :args (_let_137 false _let_136)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_183)) :args _let_183)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_182) _let_132))) (REFL :args ((not _let_146))) :args _let_158)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_146 0)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_145)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_168)) :args ((or _let_144 (not _let_167) (not _let_168)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_175)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_178 _let_181) (SCOPE (CONG (TRANS (SYMM (SYMM _let_181)) (CONG _let_180 _let_179 (SYMM (SYMM _let_178)) :args _let_177)) :args _let_176) :args (_let_173 _let_174))) :args (_let_174 _let_173))) :args (true _let_175)) :args ((or _let_167 (not _let_174) (not _let_173)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (int _let_139 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_174 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_140 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_173 false _let_35)) :args (_let_167 false _let_174 false _let_173)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_141 0 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_172)) :args _let_171))) _let_170 :args (_let_168 false _let_169)) :args (_let_144 false _let_167 false _let_168)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_163 _let_164 _let_165) :args (_let_160 _let_148 _let_149)) (SCOPE (CONTRA _let_165 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_165 (MACRO_SR_PRED_TRANSFORM _let_164 :args ((< _let_142 1))) (MACRO_SR_PRED_TRANSFORM _let_163 :args ((= (+ _let_142 (* (- 1) _let_147)) 1))) :args ((- 1.0) 1.0 (- 1.0))) :args _let_162) :args _let_161) :args ((< _let_147 0))) :args _let_159)) :args (_let_148 _let_160 _let_149)) :args ((not (and _let_160 _let_148 _let_149)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_160) _let_143))) (REFL :args ((not _let_148))) (REFL :args _let_159) :args _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (int _let_139 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((length1 A L)))) :args (_let_156))) _let_157 :args (_let_149 false _let_156)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_155 :args (int _let_22 _let_139 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_154)) :args _let_153))) _let_152 :args (_let_148 false _let_150)) :args (_let_143 false _let_149 false _let_148)) :args (_let_145 false _let_144 false _let_143)) :args (_let_146 false _let_145)) :args (_let_132 false _let_146)) :args (_let_138 false _let_137 false _let_132)) :args (_let_131 true _let_130)))) (let ((_let_220 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_129 0)) _let_219 :args ((not _let_53) true _let_129)))) (let ((_let_221 (not _let_31))) (let ((_let_222 (not _let_52))) (let ((_let_223 (not _let_51))) (let ((_let_224 (not _let_25))) (let ((_let_225 (not _let_21))) (let ((_let_226 (not _let_50))) (let ((_let_227 (not _let_48))) (let ((_let_228 (not _let_47))) (let ((_let_229 (and _let_47 _let_48 _let_50 _let_21 _let_32 _let_25 _let_51 _let_52 _let_31))) (let ((_let_230 (ASSUME :args (_let_47)))) (let ((_let_231 (SYMM (SYMM _let_230)))) (let ((_let_232 (APPLY_UF tb2t2))) (let ((_let_233 (ASSUME :args (_let_51)))) (let ((_let_234 (SYMM _let_233))) (let ((_let_235 (APPLY_UF some_proj_11))) (let ((_let_236 (ASSUME :args (_let_25)))) (let ((_let_237 (SYMM _let_236))) (let ((_let_238 (APPLY_UF t2tb))) (let ((_let_239 (ASSUME :args (_let_32)))) (let ((_let_240 (ASSUME :args (_let_31)))) (let ((_let_241 (SYMM _let_240))) (let ((_let_242 (SYMM _let_241))) (let ((_let_243 (ASSUME :args (_let_21)))) (let ((_let_244 (SYMM _let_243))) (let ((_let_245 (SYMM _let_244))) (let ((_let_246 (CONG _let_180 _let_179 _let_245 :args _let_177))) (let ((_let_247 (ASSUME :args (_let_50)))) (let ((_let_248 (SYMM (SYMM _let_247)))) (let ((_let_249 (ASSUME :args (_let_52)))) (let ((_let_250 (SYMM (SYMM _let_249)))) (let ((_let_251 (ASSUME :args (_let_48)))) (let ((_let_252 (SYMM (SYMM _let_251)))) (let ((_let_253 (not _let_33))) (let ((_let_254 (>= skv_13 0))) (let ((_let_255 (not _let_254))) (let ((_let_256 (>= (+ skv_4 _let_83 skv_13) 0))) (let ((_let_257 (or _let_256 _let_255 _let_253))) (let ((_let_258 (forall ((J Int)) (or (>= (+ J skv_4 (* (- 1) skv_7)) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 (tb2t1 (cons int (t2tb2 skv_5) (t2tb1 skv_6)))))))))))) (let ((_let_259 (not _let_257))) (let ((_let_260 (= _let_24 (tb2t (nth1 int _let_88 _let_20))))) (let ((_let_261 (and _let_260 _let_258))) (let ((_let_262 (not _let_258))) (let ((_let_263 (nth1 int _let_103 _let_16))) (let ((_let_264 (= _let_263 (nth1 int _let_88 _let_18)))) (let ((_let_265 (= _let_24 (tb2t _let_263)))) (let ((_let_266 (= skv_4 skv_7))) (let ((_let_267 (or _let_266 _let_264))) (let ((_let_268 (forall ((BOUND_VARIABLE_1257 ty) (BOUND_VARIABLE_1259 Int) (BOUND_VARIABLE_1288 uni) (BOUND_VARIABLE_1286 uni)) (or (= BOUND_VARIABLE_1259 0) (= (nth1 BOUND_VARIABLE_1257 BOUND_VARIABLE_1259 (cons BOUND_VARIABLE_1257 BOUND_VARIABLE_1286 BOUND_VARIABLE_1288)) (nth1 BOUND_VARIABLE_1257 (+ (- 1) BOUND_VARIABLE_1259) BOUND_VARIABLE_1288)))))) (let ((_let_269 (AND_ELIM _let_62 :args _let_151))) (let ((_let_270 (_let_268))) (let ((_let_271 ((nth1 BOUND_VARIABLE_1257 BOUND_VARIABLE_1259 (cons BOUND_VARIABLE_1257 BOUND_VARIABLE_1286 BOUND_VARIABLE_1288))))) (let ((_let_272 (ASSUME :args _let_270))) (let ((_let_273 (not _let_266))) (let ((_let_274 (not _let_98))) (let ((_let_275 (= _let_99 (+ (- 1) _let_90)))) (let ((_let_276 (>= _let_91 0))) (let ((_let_277 (forall ((J Int)) (let ((_let_1 (t2tb1 skv_6))) (or (>= (+ J (* (- 1) (length1 int _let_1))) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J _let_1))))))))) (let ((_let_278 (= _let_107 _let_277))) (let ((_let_279 (forall ((J Int)) (let ((_let_1 (t2tb1 (tb2t1 (cons int (t2tb2 skv_5) (t2tb1 skv_6)))))) (or (>= (+ J (* (- 1) (length1 int _let_1))) 0) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J _let_1))))))))) (let ((_let_280 (= _let_96 _let_279))) (let ((_let_281 (+ (- 1) skv_14))) (let ((_let_282 (nth1 int _let_281 _let_16))) (let ((_let_283 (= _let_24 (tb2t _let_282)))) (let ((_let_284 (not _let_283))) (let ((_let_285 (>= skv_14 1))) (let ((_let_286 (not _let_285))) (let ((_let_287 (>= (+ skv_14 _let_109) 1))) (let ((_let_288 (or _let_287 _let_286 _let_284))) (let ((_let_289 (nth1 int skv_14 _let_20))) (let ((_let_290 (tb2t _let_289))) (let ((_let_291 (= _let_24 _let_290))) (let ((_let_292 (not _let_291))) (let ((_let_293 (>= skv_14 0))) (let ((_let_294 (not _let_293))) (let ((_let_295 (length1 int _let_20))) (let ((_let_296 (+ skv_14 (* (- 1) _let_295)))) (let ((_let_297 (>= _let_296 0))) (let ((_let_298 (or _let_297 _let_294 _let_292))) (let ((_let_299 (= skv_14 0))) (let ((_let_300 (= (nth1 int skv_14 _let_18) _let_282))) (let ((_let_301 (or _let_299 _let_300))) (let ((_let_302 (= _let_289 (t2tb _let_290)))) (let ((_let_303 (length1 int (cons int _let_22 _let_20)))) (let ((_let_304 (+ (- 1) _let_303))) (let ((_let_305 (= _let_295 _let_304))) (let ((_let_306 (REFL :args (_let_106)))) (let ((_let_307 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_106 1)) (CONG _let_306 (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_101))) :args _let_158)) :args ((or _let_101 _let_106))))) (let ((_let_308 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (int _let_17 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_154)) :args _let_153)) _let_152 :args (_let_275 false _let_150)))) (let ((_let_309 (not _let_275))) (let ((_let_310 (not _let_92))) (let ((_let_311 (ASSUME :args (_let_275)))) (let ((_let_312 (MACRO_SR_PRED_TRANSFORM _let_311 :args ((= (+ _let_99 _let_94) (- 1)))))) (let ((_let_313 (_let_92))) (let ((_let_314 (not _let_115))) (let ((_let_315 (= _let_16 (cons_proj_21 int _let_18)))) (let ((_let_316 (= _let_117 (cons_proj_21 int _let_119)))) (let ((_let_317 (= skv_6 (tb2t1 _let_16)))) (let ((_let_318 (= skv_8 (tb2t1 _let_117)))) (let ((_let_319 (= _let_119 (t2tb1 _let_120)))) (let ((_let_320 (forall ((A ty) (U uni) (U1 uni)) (= U1 (cons_proj_21 A (cons A U U1)))))) (let ((_let_321 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_322 (_let_320))) (let ((_let_323 ((cons A U U1)))) (let ((_let_324 (forall ((I list_int)) (= I (tb2t1 (t2tb1 I)))))) (let ((_let_325 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_326 (_let_324))) (let ((_let_327 ((t2tb1 I)))) (let ((_let_328 (and _let_121 _let_315 _let_316 _let_317 _let_318 _let_21 _let_319))) (let ((_let_329 (ASSUME :args (_let_318)))) (let ((_let_330 (ASSUME :args (_let_316)))) (let ((_let_331 (ASSUME :args (_let_319)))) (let ((_let_332 (APPLY_UF t2tb1))) (let ((_let_333 (ASSUME :args (_let_121)))) (let ((_let_334 (ASSUME :args (_let_315)))) (let ((_let_335 (ASSUME :args (_let_317)))) (let ((_let_336 (= _let_124 _let_18))) (let ((_let_337 (forall ((A ty) (V uni) (V1 uni)) (not (= (cons A V V1) (nil A)))))) (let ((_let_338 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_339 (and _let_126 _let_200 _let_21))) (let ((_let_340 (ASSUME :args (_let_126)))) (let ((_let_341 (not _let_123))) (let ((_let_342 (_let_128))) (let ((_let_343 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_342) (CONG (REFL :args _let_342) (MACRO_SR_PRED_INTRO :args ((= (not _let_127) _let_126))) (REFL :args (_let_341)) (REFL :args (_let_314)) :args _let_158)) :args ((or _let_126 _let_128 _let_341 _let_314))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_339)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_243 _let_340 _let_213) (SCOPE (TRANS (SYMM _let_214) (CONG (SYMM (SYMM _let_340)) :args _let_332) _let_244) :args (_let_21 _let_126 _let_200))) :args (_let_126 _let_200 _let_21))) :args (true _let_339)) :args ((or _let_127 _let_336 _let_202 _let_225))) _let_39 _let_201 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_338 :args (int _let_17 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((cons A V V1)))) :args (_let_337)))) _let_338 :args ((not _let_336) false _let_337)) :args (_let_127 false _let_21 false _let_200 true _let_336)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_129 1)) _let_219 :args ((not _let_128) true _let_129)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_328)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_329 _let_330 _let_331 _let_333 _let_243 _let_334 _let_335) (SCOPE (TRANS (SYMM (SYMM _let_335)) (CONG (TRANS (SYMM (SYMM _let_334)) (CONG _let_180 (TRANS _let_245 (CONG (SYMM (SYMM _let_333)) :args _let_332) (SYMM _let_331)) :args (APPLY_UF cons_proj_21)) (SYMM _let_330)) :args (APPLY_UF tb2t1)) (SYMM _let_329)) :args (_let_318 _let_316 _let_319 _let_121 _let_21 _let_315 _let_317))) :args (_let_121 _let_315 _let_316 _let_317 _let_318 _let_21 _let_319))) :args (true _let_328)) :args ((or _let_116 _let_122 (not _let_315) (not _let_316) (not _let_317) (not _let_318) _let_225 (not _let_319)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_119 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_38)) :args _let_37)) _let_36 :args (_let_319 false _let_35)) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_325 :args (skv_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_327)) :args _let_326)) _let_325 :args (_let_318 false _let_324)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_325 :args (skv_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_327)) :args _let_326)) _let_325 :args (_let_317 false _let_324)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_321 :args (int _let_118 _let_117 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_323)) :args _let_322)) _let_321 :args (_let_316 false _let_320)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_321 :args (int _let_17 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_323)) :args _let_322)) _let_321 :args (_let_315 false _let_320)) (CNF_OR_NEG :args (_let_123 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_123 0)) (CONG (REFL :args (_let_123)) (MACRO_SR_PRED_INTRO :args ((= (not _let_122) _let_121))) :args _let_158)) :args ((or _let_121 _let_123))) :args (_let_123 false _let_319 false _let_21 false _let_318 false _let_317 false _let_316 false _let_315 true _let_116 false _let_121)) :args (_let_314 true _let_126 true _let_128 false _let_123)))) (let ((_let_344 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_115 0)) _let_343 :args ((not _let_114) true _let_115)))) (let ((_let_345 (CNF_AND_NEG :args (_let_114)))) (let ((_let_346 (>= _let_100 (- 1)))) (let ((_let_347 (>= skv_4 _let_110))) (let ((_let_348 (<= skv_4 _let_110))) (let ((_let_349 ((or _let_348 _let_347)))) (let ((_let_350 (not _let_347))) (let ((_let_351 (not _let_348))) (let ((_let_352 ((- 1) 1))) (let ((_let_353 (REFL :args (_let_113)))) (let ((_let_354 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_113 0)) (CONG _let_353 (MACRO_SR_PRED_INTRO :args ((= (not _let_112) _let_111))) :args _let_158)) :args ((or _let_111 _let_113))))) (let ((_let_355 (not _let_346))) (let ((_let_356 (= _let_100 (- 1)))) (let ((_let_357 ((not _let_356)))) (let ((_let_358 (_let_356))) (let ((_let_359 ((- 1.0) 1.0))) (let ((_let_360 (ASSUME :args _let_358))) (let ((_let_361 (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_111)) :args _let_358) :args _let_358))) (let ((_let_362 (not _let_276))) (let ((_let_363 (_let_362))) (let ((_let_364 (not _let_95))) (let ((_let_365 (and _let_364 _let_276))) (let ((_let_366 (ASSUME :args (_let_364)))) (let ((_let_367 (ASSUME :args (_let_276)))) (let ((_let_368 (not _let_279))) (let ((_let_369 (_let_277))) (let ((_let_370 (_let_368))) (let ((_let_371 (REFL :args (_let_298)))) (let ((_let_372 (not _let_299))) (let ((_let_373 (and _let_47 _let_48 _let_50 _let_21 _let_291 _let_299 _let_25 _let_51 _let_52 _let_31))) (let ((_let_374 (ASSUME :args (_let_291)))) (let ((_let_375 (SYMM _let_374))) (let ((_let_376 (ASSUME :args (_let_299)))) (let ((_let_377 (CONG _let_180 _let_179 _let_244 :args _let_177))) (let ((_let_378 (and _let_21 _let_291 _let_300 _let_25 _let_302))) (let ((_let_379 (ASSUME :args (_let_300)))) (let ((_let_380 (ASSUME :args (_let_302)))) (let ((_let_381 (SYMM _let_237))) (let ((_let_382 (and _let_293 _let_372))) (let ((_let_383 (_let_293 _let_372))) (let ((_let_384 (ASSUME :args (_let_372)))) (let ((_let_385 (ASSUME :args (_let_293)))) (let ((_let_386 (not _let_297))) (let ((_let_387 (REFL :args (_let_225)))) (let ((_let_388 (= _let_304 _let_90))) (let ((_let_389 (< _let_296 0))) (let ((_let_390 (_let_389))) (let ((_let_391 (ASSUME :args (_let_287)))) (let ((_let_392 (* (- 1) _let_303))) (let ((_let_393 (ASSUME :args (_let_305)))) (let ((_let_394 (ASSUME :args (_let_386)))) (let ((_let_395 ((= _let_90 _let_304)))) (let ((_let_396 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_391 (MODUS_PONENS (MODUS_PONENS (AND_INTRO _let_393 _let_243) (SCOPE (TRANS (CONG _let_180 _let_245 :args _let_212) (SYMM (SYMM _let_393))) :args (_let_305 _let_21))) (SCOPE (SYMM (ASSUME :args _let_395)) :args _let_395)) _let_393 _let_311 _let_394) :args (_let_275 _let_21 _let_386 _let_305 _let_287)) (SCOPE (CONTRA (MACRO_SR_PRED_TRANSFORM _let_394 :args _let_390) (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_390) _let_312 (MACRO_SR_PRED_TRANSFORM _let_393 :args ((= (+ _let_295 _let_392) (- 1)))) (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_388)) :args ((= (+ _let_90 _let_392) (- 1)))) _let_391 :args (1.0 (- 1.0) 1.0 (- 1.0) (- 1.0))) :args _let_162) :args _let_390) :args (_let_297)) :args ((not _let_389)))) :args (_let_287 _let_388 _let_305 _let_275 _let_386)) :args ((not (and _let_275 _let_21 _let_386 _let_305 _let_287)) SB_LITERAL))) (CONG (REFL :args (_let_309)) _let_387 (MACRO_SR_PRED_INTRO :args ((= (not _let_386) _let_297))) (REFL :args ((not _let_305))) (REFL :args ((not _let_287))) :args _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (int _let_22 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_154)) :args _let_153)) _let_152 :args (_let_305 false _let_150)) _let_39 _let_308 (REORDERING (CNF_OR_POS :args (_let_288)) :args ((or _let_284 _let_286 _let_287 (not _let_288)))) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_382)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_385 _let_384) (SCOPE (INT_TIGHT_LB (ARITH_TRICHOTOMY _let_385 _let_384 :args ((> skv_14 0)))) :args _let_383)) :args _let_383)) :args (true _let_382)) (CONG (REFL :args (_let_294)) (MACRO_SR_PRED_INTRO :args ((= (not _let_372) _let_299))) (REFL :args (_let_285)) :args _let_158)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_378)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_379 _let_243 _let_380 _let_374 _let_236) (SCOPE (CONG (TRANS _let_381 (CONG (SYMM _let_375) :args _let_238) (SYMM _let_380) (CONG _let_180 (REFL :args (skv_14)) (SYMM _let_245) :args _let_177) (SYMM (SYMM _let_379))) :args _let_176) :args (_let_300 _let_21 _let_302 _let_291 _let_25))) :args (_let_21 _let_291 _let_300 _let_25 _let_302))) :args (true _let_378)) :args ((or _let_225 _let_292 (not _let_300) _let_224 _let_283 (not _let_302)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_289 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42)) _let_41 :args (_let_302 false _let_40)) _let_44 _let_39 (REORDERING (CNF_OR_POS :args (_let_301)) :args ((or _let_299 _let_300 (not _let_301)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_272 :args (int skv_14 _let_16 _let_17 QUANTIFIERS_INST_E_MATCHING _let_271)) :args _let_270)) _let_269 :args (_let_301 false _let_268)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_373)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_230 _let_233 _let_236 _let_374 _let_376 _let_243 _let_240 _let_247 _let_249 _let_251) (SCOPE (TRANS _let_252 (CONG (TRANS _let_250 (CONG _let_180 (TRANS _let_248 (SYMM _let_377) _let_242 (CONG (TRANS (CONG (TRANS _let_377 (CONG _let_180 (SYMM _let_376) _let_245 :args _let_177)) :args _let_176) _let_375) :args _let_238) _let_237) :args _let_235) _let_234) :args _let_232) _let_231) :args (_let_47 _let_51 _let_25 _let_291 _let_299 _let_21 _let_31 _let_50 _let_52 _let_48))) :args (_let_47 _let_48 _let_50 _let_21 _let_291 _let_299 _let_25 _let_51 _let_52 _let_31))) :args (true _let_373)) :args ((or _let_53 _let_228 _let_227 _let_226 _let_225 _let_292 _let_372 _let_224 _let_223 _let_222 _let_221))) _let_46 _let_220 _let_82 _let_78 _let_44 _let_39 _let_67 _let_60 _let_59 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_298 2)) (CONG _let_371 (MACRO_SR_PRED_INTRO :args ((= (not _let_292) _let_291))) :args _let_158)) :args ((or _let_291 _let_298))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_298 1)) (CONG _let_371 (MACRO_SR_PRED_INTRO :args ((= (not _let_294) _let_293))) :args _let_158)) :args ((or _let_293 _let_298))) (CNF_OR_NEG :args (_let_298 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_370)) :args _let_370)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_368) _let_279))) (REFL :args ((not _let_298))) :args _let_158)) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_369) :args (_let_281 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((nth1 int J _let_16)))) :args _let_369))) (REORDERING (CNF_EQUIV_POS2 :args (_let_280)) :args ((or _let_96 _let_368 (not _let_280)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_192)) :args _let_191)) _let_190 :args (_let_280 false _let_189)) (REORDERING (CNF_EQUIV_POS1 :args (_let_278)) :args ((or _let_108 _let_277 (not _let_278)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_190 :args (skv_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_192)) :args _let_191)) _let_190 :args (_let_278 false _let_189)) (CNF_AND_NEG :args (_let_97)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_115 1)) _let_343 :args ((not _let_97) true _let_115)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_113 1)) (CONG _let_353 (MACRO_SR_PRED_INTRO :args ((= (not _let_108) _let_107))) :args _let_158)) :args ((or _let_107 _let_113))) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_365)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_367 _let_366) (SCOPE (INT_TIGHT_LB (ARITH_TRICHOTOMY _let_367 (MACRO_SR_PRED_TRANSFORM _let_366 :args ((not (= _let_91 0)))) :args ((> _let_91 0)))) :args (_let_276 _let_364))) :args (_let_364 _let_276))) :args (true _let_365)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_364) _let_95))) (REFL :args _let_363) (REFL :args _let_313) :args _let_158)) :args ((or _let_95 _let_92 _let_362))) (MACRO_RESOLUTION_TRUST (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_363) :args ((< _let_91 0))) (ASSUME :args (_let_346)) _let_312 :args (1.0 (- 1.0) 1.0)) :args _let_162) :args (_let_346 _let_275 _let_362))) :args ((or _let_355 _let_309 _let_276))) :args ((or _let_276 _let_309 _let_355))) _let_308 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (CONTRA _let_361 (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_360 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_355)) :args ((< _let_100 (- 1))))) :args _let_359) :args _let_162) :args _let_358) :args _let_357)) :args (_let_111 _let_355))) (CONG (REFL :args (_let_112)) (MACRO_SR_PRED_INTRO :args ((= (not _let_355) _let_346))) :args _let_158)) _let_354 _let_345 _let_344 _let_307 (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_351)) :args ((> skv_4 _let_110))) (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_350)) :args ((< skv_4 _let_110))) :args _let_352) :args _let_162) :args (_let_351 _let_350))) :args _let_349) (REWRITE :args _let_349)) :args (_let_346 false _let_111 true _let_113 true _let_114 false _let_106 true _let_101)) :args (_let_276 false _let_275 false _let_346)) _let_345 _let_344 (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args (_let_102)) :args ((< _let_100 0))) (ASSUME :args _let_313) _let_312 :args (1.0 (- 1.0) (- 1.0))) :args _let_162) :args (_let_92 _let_275 _let_102))) :args ((or _let_310 _let_309 _let_101))) :args ((or _let_101 _let_310 _let_309))) _let_308 _let_307 :args (_let_101 false _let_305 false _let_21 false _let_275 false _let_287 false _let_285 false _let_283 false _let_302 false _let_25 false _let_21 false _let_300 false _let_301 true _let_299 false _let_31 true _let_53 false _let_52 false _let_51 false _let_25 false _let_21 false _let_50 false _let_48 false _let_47 false _let_291 false _let_293 true _let_297 true _let_298 false _let_288 true _let_279 false _let_280 false _let_277 false _let_278 true _let_96 true _let_97 false _let_107 false _let_95 false _let_276 true _let_113 true _let_114 true _let_92 false _let_275 false _let_106)))) (let ((_let_397 (ASSUME :args (_let_101)))) (let ((_let_398 (MACRO_RESOLUTION_TRUST _let_345 _let_344 (MACRO_RESOLUTION_TRUST _let_354 (MACRO_RESOLUTION_TRUST (NOT_AND (SCOPE (CONTRA _let_361 (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB _let_360 _let_397 :args (1.0 (- 1.0))) :args _let_162) :args _let_358) :args _let_357)) :args (_let_111 _let_101))) _let_396 :args (_let_112 false _let_101)) :args (_let_113 true _let_111)) :args ((not _let_106) true _let_114 false _let_113)))) (let ((_let_399 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_106 2)) :args ((or _let_274 _let_106))) _let_398 :args (_let_274 true _let_106)))) (let ((_let_400 (MACRO_SR_PRED_INTRO :args ((= (not _let_274) _let_98))))) (let ((_let_401 (_let_274))) (let ((_let_402 (_let_266))) (let ((_let_403 (ASSUME :args _let_401))) (let ((_let_404 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_403 :args ((< _let_84 0)))))) (let ((_let_405 (forall ((J Int)) (or (>= (+ J skv_4 (* (- 1) skv_7)) (- 1)) (not (>= J 0)) (not (= (tb2t (some int (t2tb2 0))) (tb2t (nth1 int J (t2tb1 skv_6))))))))) (let ((_let_406 (and _let_265 _let_405))) (let ((_let_407 (= _let_104 _let_406))) (let ((_let_408 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_407)) :args ((or _let_105 _let_406 (not _let_407)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_106 0)) (CONG _let_306 (MACRO_SR_PRED_INTRO :args ((= (not _let_105) _let_104))) :args _let_158)) :args ((or _let_104 _let_106))) _let_398 :args (_let_104 true _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_170 :args (skv_6 _let_103 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_172)) :args _let_171))) _let_170 :args (_let_407 false _let_169)) :args (_let_406 false _let_104 false _let_407)))) (let ((_let_409 (not _let_406))) (let ((_let_410 (and _let_265 _let_21 _let_264))) (let ((_let_411 (ASSUME :args (_let_264)))) (let ((_let_412 (ASSUME :args (_let_265)))) (let ((_let_413 (= _let_89 _let_261))) (let ((_let_414 (not _let_261))) (let ((_let_415 (not _let_89))) (let ((_let_416 (_let_86))) (let ((_let_417 (_let_85))) (let ((_let_418 (_let_310))) (let ((_let_419 (_let_93))) (let ((_let_420 (_let_262))) (let ((_let_421 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_420)) :args _let_420) (REWRITE :args ((=> _let_262 (not (or (>= (+ skv_13 skv_4 _let_83) 0) _let_255 _let_253))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_262) _let_258))) (REFL :args (_let_259)) :args _let_158)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_261)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_413)) :args ((or _let_89 _let_414 (not _let_413)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_419) (CONG (REFL :args _let_419) (REFL :args _let_418) (REFL :args (_let_415)) (MACRO_SR_PRED_INTRO :args ((= (not _let_86) _let_85))) :args _let_158)) :args ((or _let_310 _let_85 _let_93 _let_415))) (MACRO_RESOLUTION_TRUST (REORDERING (MACRO_SR_PRED_TRANSFORM (NOT_AND (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (MACRO_SR_PRED_TRANSFORM (ASSUME :args _let_418) :args ((< _let_91 1))) _let_312 _let_397 :args _let_208) :args _let_162) :args (_let_275 _let_101 _let_310))) :args ((or _let_309 _let_102 _let_92))) :args ((or _let_102 _let_92 _let_309))) _let_396 _let_308 :args (_let_92 false _let_101 false _let_275)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_403 (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_SR_PRED_TRANSFORM (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_417) _let_404 :args _let_359) :args _let_162) :args _let_417) :args ((< _let_84 1))) :args _let_416) :args _let_401)) :args _let_401)) (CONG _let_400 (REFL :args _let_416) :args _let_158)) _let_399 :args (_let_86 true _let_98)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_115 2)) _let_343 :args ((not _let_93) true _let_115)) :args (_let_415 false _let_92 true _let_85 true _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_19 _let_88 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_172)) :args _let_171))) _let_170 :args (_let_413 false _let_169)) :args (_let_414 true _let_89 false _let_413)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_410)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_243 _let_411 _let_412) (SCOPE (TRANS (SYMM (SYMM _let_412)) (CONG (TRANS (SYMM (SYMM _let_411)) (CONG _let_180 (REFL :args (_let_88)) _let_245 :args _let_177)) :args _let_176)) :args (_let_21 _let_264 _let_265))) :args (_let_265 _let_21 _let_264))) :args (true _let_410)) :args ((or _let_260 (not _let_265) _let_225 (not _let_264)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_406 0)) :args ((or _let_265 _let_409))) _let_408 :args (_let_265 false _let_406)) _let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_267)) :args ((or _let_266 _let_264 (not _let_267)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_403 (SCOPE (SCOPE (MACRO_SR_PRED_TRANSFORM (MACRO_ARITH_SCALE_SUM_UB (ASSUME :args _let_402) _let_404 :args _let_352) :args _let_162) :args _let_402) :args _let_401)) :args _let_401)) (CONG _let_400 (REFL :args (_let_273)) :args _let_158)) _let_399 :args (_let_273 true _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_272 :args (int _let_88 _let_16 _let_17 QUANTIFIERS_INST_E_MATCHING _let_271)) :args _let_270))) _let_269 :args (_let_267 false _let_268)) :args (_let_264 true _let_266 false _let_267)) :args (_let_260 false _let_265 false _let_21 false _let_264)) :args (_let_262 true _let_261 false _let_260)) :args (_let_259 true _let_258)))) (let ((_let_422 (REFL :args (_let_257)))) (let ((_let_423 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_257 2)) (CONG _let_422 (MACRO_SR_PRED_INTRO :args ((= (not _let_253) _let_33))) :args _let_158)) :args ((or _let_33 _let_257))) _let_421 :args (_let_33 true _let_257)))) (let ((_let_424 (+ (- 1) skv_13))) (let ((_let_425 (nth1 int _let_424 _let_16))) (let ((_let_426 (= (nth1 int skv_13 _let_18) _let_425))) (let ((_let_427 (or _let_34 _let_426))) (let ((_let_428 (= _let_24 (tb2t _let_425)))) (let ((_let_429 (not _let_428))) (let ((_let_430 (>= skv_13 1))) (let ((_let_431 (not _let_430))) (let ((_let_432 (or _let_256 _let_431 _let_429))) (let ((_let_433 (_let_405))) (let ((_let_434 (not _let_28))) (let ((_let_435 (and _let_47 _let_48 _let_50 _let_21 _let_254 _let_33 _let_25 _let_28 _let_51 _let_52 _let_431))) (let ((_let_436 (= 0 skv_13))) (let ((_let_437 (ASSUME :args (_let_33)))) (let ((_let_438 (SYMM _let_437))) (let ((_let_439 (ASSUME :args (_let_28)))) (let ((_let_440 (SYMM _let_439))) (let ((_let_441 (REFL :args (skv_13)))) (let ((_let_442 (REFL :args (_let_18)))) (let ((_let_443 (_let_34))) (let ((_let_444 (ASSUME :args (_let_431)))) (let ((_let_445 (ASSUME :args (_let_254)))) (let ((_let_446 (and _let_21 _let_33 _let_426 _let_25 _let_28))) (let ((_let_447 (ASSUME :args (_let_426)))) (let ((_let_448 (CONG _let_180 _let_441 _let_244 :args _let_177))) (let ((_let_449 (CONG (SYMM _let_438) :args _let_238))) (let ((_let_450 (and _let_21 _let_33 _let_34 _let_25 _let_28 _let_31))) (let ((_let_451 (ASSUME :args _let_443))) (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_450)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_240 _let_243 _let_451 _let_439 _let_437 _let_236) (SCOPE (TRANS (CONG (TRANS _let_381 _let_449 _let_440 _let_448 (CONG _let_180 (SYMM (SYMM _let_451)) _let_442 :args _let_177) _let_246 _let_240) :args _let_176) (CONG _let_241 :args _let_176)) :args (_let_31 _let_21 _let_34 _let_28 _let_33 _let_25))) :args (_let_21 _let_33 _let_34 _let_25 _let_28 _let_31))) :args (true _let_450)) :args ((or _let_225 _let_253 (not _let_34) _let_32 _let_224 _let_434 _let_221))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_427)) :args ((or _let_34 _let_426 (not _let_427)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_446)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_447 _let_243 _let_439 _let_437 _let_236) (SCOPE (CONG (TRANS _let_381 _let_449 _let_440 _let_448 (SYMM (SYMM _let_447))) :args _let_176) :args (_let_426 _let_21 _let_28 _let_33 _let_25))) :args (_let_21 _let_33 _let_426 _let_25 _let_28))) :args (true _let_446)) _let_39 _let_423 _let_44 _let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_432)) :args ((or _let_256 _let_431 _let_429 (not _let_432)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_257 0)) _let_421 :args ((not _let_256) true _let_257)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_435)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_230 _let_233 _let_236 _let_437 _let_439 _let_243 (MODUS_PONENS (AND_INTRO _let_445 _let_444) (SCOPE (SYMM (ARITH_TRICHOTOMY _let_445 (INT_TIGHT_UB (MACRO_SR_PRED_TRANSFORM _let_444 :args ((< skv_13 1)))) :args _let_443)) :args (_let_254 _let_431))) _let_247 _let_249 _let_251) (SCOPE (TRANS _let_252 (CONG (TRANS _let_250 (CONG _let_180 (TRANS _let_248 (CONG _let_180 (SYMM (SYMM (ASSUME :args (_let_436)))) _let_442 :args _let_177) (CONG _let_180 _let_441 _let_245 :args _let_177) (SYMM _let_440) (CONG _let_438 :args _let_238) _let_237) :args _let_235) _let_234) :args _let_232) _let_231) :args (_let_47 _let_51 _let_25 _let_33 _let_28 _let_21 _let_436 _let_50 _let_52 _let_48))) :args (_let_47 _let_48 _let_50 _let_21 _let_254 _let_33 _let_25 _let_28 _let_51 _let_52 _let_431))) :args (true _let_435)) (CONG (REFL :args (_let_228)) (REFL :args (_let_227)) (REFL :args (_let_226)) _let_387 (REFL :args (_let_255)) (REFL :args (_let_253)) (REFL :args (_let_224)) (REFL :args (_let_434)) (REFL :args (_let_223)) (REFL :args (_let_222)) (MACRO_SR_PRED_INTRO :args ((= (not _let_431) _let_430))) (REFL :args (_let_53)) :args _let_158)) :args ((or _let_53 _let_228 _let_227 _let_226 _let_225 _let_255 _let_253 _let_224 _let_434 _let_223 _let_222 _let_430))) _let_220 _let_59 _let_60 _let_67 _let_39 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_257 1)) (CONG _let_422 (MACRO_SR_PRED_INTRO :args ((= (not _let_255) _let_254))) :args _let_158)) :args ((or _let_254 _let_257))) _let_421 :args (_let_254 true _let_257)) _let_423 _let_44 _let_45 _let_78 _let_82 :args (_let_430 true _let_53 false _let_47 false _let_48 false _let_50 false _let_21 false _let_254 false _let_33 false _let_25 false _let_28 false _let_51 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_433) :args (_let_424 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((nth1 int J _let_16)))) :args _let_433))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_406 1)) :args ((or _let_405 _let_409))) _let_408 :args (_let_405 false _let_406)) :args (_let_432 false _let_405)) :args (_let_429 true _let_256 false _let_430 false _let_432)) :args ((not _let_426) false _let_21 false _let_33 false _let_25 false _let_28 true _let_428)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_272 :args (int skv_13 _let_16 _let_17 QUANTIFIERS_INST_E_MATCHING _let_271)) :args _let_270)) _let_269 :args (_let_427 false _let_268)) :args (_let_34 true _let_426 false _let_427)) _let_423 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_229)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_230 _let_233 _let_236 _let_239 _let_240 _let_243 _let_247 _let_249 _let_251) (SCOPE (TRANS _let_252 (CONG (TRANS _let_250 (CONG _let_180 (TRANS _let_248 _let_246 _let_242 (CONG (SYMM _let_239) :args _let_238) _let_237) :args _let_235) _let_234) :args _let_232) _let_231) :args (_let_47 _let_51 _let_25 _let_32 _let_31 _let_21 _let_50 _let_52 _let_48))) :args (_let_47 _let_48 _let_50 _let_21 _let_32 _let_25 _let_51 _let_52 _let_31))) :args (true _let_229)) :args ((or _let_53 _let_228 _let_227 _let_226 _let_225 _let_54 _let_224 _let_223 _let_222 _let_221))) _let_46 _let_220 _let_82 _let_78 _let_44 _let_39 _let_67 _let_60 _let_59 :args (_let_54 false _let_31 true _let_53 false _let_52 false _let_51 false _let_25 false _let_21 false _let_50 false _let_48 false _let_47)) _let_46 _let_45 _let_44 _let_39 :args (false false _let_34 false _let_33 true _let_32 false _let_31 false _let_28 false _let_25 false _let_21)) :args ((forall ((A ty) (U uni) (U1 uni)) (=> (sort1 A U) (= (cons_proj_11 A (cons A U U1)) U))) _let_15 (forall ((A ty) (A1 ty) (Z uni) (Z1 uni)) (=> (sort1 A1 Z) (= (match_list1 A1 A (nil A) Z Z1) Z))) _let_14 (forall ((A ty) (U uni)) (or (= U (cons A (cons_proj_11 A U) (cons_proj_21 A U))) (= U (nil A)))) (forall ((A ty) (A1 ty) (X uni) (X1 uni) (X2 uni)) (sort1 A1 (match_list1 A1 A X X1 X2))) _let_13 (forall ((U bool1)) (or (= U true1) (= U false1))) (forall ((A ty) (X uni)) (sort1 (list A) (cons_proj_21 A X))) _let_12 _let_11 (forall ((A ty)) (sort1 (option A) (none A))) (forall ((A ty) (X uni)) (sort1 A (cons_proj_11 A X))) (forall ((A ty) (A1 ty) (Z uni) (Z1 uni) (U uni) (U1 uni)) (=> (sort1 A1 Z1) (= (match_list1 A1 A (cons A U U1) Z Z1) Z1))) (forall ((A ty) (X Int) (X1 uni)) (sort1 (option A) (nth1 A X X1))) _let_10 (forall ((J uni)) (= (t2tb2 (tb2t2 J)) J)) (forall ((A ty) (Z uni) (Z1 uni)) (=> (sort1 A Z1) (= (match_bool1 A false1 Z Z1) Z1))) (forall ((A ty)) (sort1 A (witness1 A))) _let_9 (forall ((A ty) (A1 ty) (X uni) (X1 uni) (X2 uni)) (sort1 A1 (match_option1 A1 A X X1 X2))) _let_8 (forall ((A ty) (Z uni) (Z1 uni)) (=> (sort1 A Z) (= (match_bool1 A true1 Z Z1) Z))) (forall ((A ty) (A1 ty) (Z uni) (Z1 uni)) (=> (sort1 A1 Z) (= (match_option1 A1 A (none A) Z Z1) Z))) (forall ((A ty)) (sort1 (list A) (nil A))) (not (= true1 false1)) (forall ((A ty) (X uni)) (sort1 (option A) (some A X))) _let_7 _let_6 _let_5 (forall ((U tuple02)) (= U tuple03)) _let_4 (forall ((A ty) (U uni)) (=> (sort1 (option A) U) (or (= U (none A)) (= U (some A (some_proj_11 A U)))))) (forall ((X list_int)) (sort1 (list int) (t2tb1 X))) (forall ((X option_int)) (sort1 (option int) (t2tb X))) (forall ((A ty) (V uni)) (not (= (none A) (some A V)))) (forall ((A ty) (A1 ty) (Z uni) (Z1 uni) (U uni)) (=> (sort1 A1 Z1) (= (match_option1 A1 A (some A U) Z Z1) Z1))) _let_3 _let_2 (forall ((A ty) (X uni) (X1 uni)) (sort1 (list A) (cons A X X1))) _let_1 (forall ((X Int) (Y Int) (Z Int)) (=> (<= X Y) (=> (<= 0 Z) (<= (* X Z) (* Y Z))))) (forall ((A ty) (X bool1) (X1 uni) (X2 uni)) (sort1 A (match_bool1 A X X1 X2))) (forall ((A ty) (X uni)) (sort1 A (some_proj_11 A X))) (forall ((I option_int)) (= (tb2t (t2tb I)) I)) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 16.17/16.37 % SZS output end Proof for theBenchmark 16.17/16.37 EOF