TSTP Solution File: GRP489-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP489-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 00:26:12 EDT 2023
% Result : Unsatisfiable 104.36s 104.55s
% Output : Proof 104.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP489-1 : TPTP v8.1.2. Released v2.6.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 01:54:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.6gXs6FlKpO/cvc5---1.0.5_1156.p...
% 0.21/0.48 ------- get file name : TPTP file name is GRP489-1
% 0.21/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1156.smt2...
% 0.21/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.41/10.60 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.39/15.64 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.44/20.67 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.52/25.70 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.53/30.75 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.51/35.77 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.63/40.81 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.52/45.86 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.64/50.91 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.63/55.95 --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.82/61.00 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 65.87/66.07 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 75.97/76.16 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 86.05/86.24 --- Run --no-cbqi --full-saturate-quant at 10...
% 96.13/96.35 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 104.36/104.55 % SZS status Unsatisfiable for GRP489-1
% 104.36/104.55 % SZS output start Proof for GRP489-1
% 104.42/104.59 (
% 104.42/104.59 (let ((_let_1 (not (= (tptp.multiply (tptp.multiply tptp.a3 tptp.b3) tptp.c3) (tptp.multiply tptp.a3 (tptp.multiply tptp.b3 tptp.c3)))))) (let ((_let_2 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))))) (let ((_let_3 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide A tptp.identity) (tptp.double_divide B C))) B) tptp.identity)) C)))) (let ((_let_6 (tptp.double_divide tptp.c3 tptp.b3))) (let ((_let_7 (tptp.double_divide _let_6 tptp.identity))) (let ((_let_8 (tptp.double_divide _let_7 tptp.a3))) (let ((_let_9 (tptp.double_divide _let_8 tptp.identity))) (let ((_let_10 (tptp.double_divide tptp.b3 tptp.a3))) (let ((_let_11 (tptp.double_divide _let_10 tptp.identity))) (let ((_let_12 (= (tptp.double_divide (tptp.double_divide tptp.c3 _let_11) tptp.identity) _let_9))) (let ((_let_13 (tptp.double_divide _let_6 _let_7))) (let ((_let_14 (= tptp.identity _let_13))) (let ((_let_15 (tptp.double_divide _let_8 _let_9))) (let ((_let_16 (= tptp.identity _let_15))) (let ((_let_17 (tptp.double_divide tptp.identity tptp.identity))) (let ((_let_18 (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_17)))) (let ((_let_19 (tptp.double_divide _let_18 tptp.identity))) (let ((_let_20 (tptp.double_divide _let_19 tptp.identity))) (let ((_let_21 (tptp.double_divide tptp.identity _let_20))) (let ((_let_22 (= tptp.identity _let_21))) (let ((_let_23 (tptp.double_divide tptp.identity _let_17))) (let ((_let_24 (= tptp.identity _let_23))) (let ((_let_25 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_19 _let_23)) tptp.identity))) (let ((_let_26 (tptp.double_divide _let_25 tptp.identity))) (let ((_let_27 (tptp.double_divide _let_18 _let_26))) (let ((_let_28 (= _let_17 _let_27))) (let ((_let_29 (= tptp.identity (tptp.double_divide _let_18 _let_19)))) (let ((_let_30 (tptp.double_divide _let_19 _let_20))) (let ((_let_31 (= tptp.identity _let_30))) (let ((_let_32 (= _let_20 (tptp.double_divide _let_18 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_19 _let_21)) tptp.identity) tptp.identity))))) (let ((_let_33 (= _let_20 (tptp.double_divide _let_18 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_19 _let_30)) _let_19) tptp.identity))))) (let ((_let_34 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_30)) _let_19))) (let ((_let_35 (tptp.double_divide _let_34 tptp.identity))) (let ((_let_36 (tptp.double_divide _let_19 _let_35))) (let ((_let_37 (= _let_20 _let_36))) (let ((_let_38 (= tptp.identity (tptp.double_divide _let_18 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity _let_30) _let_19) tptp.identity))))) (let ((_let_39 (= tptp.identity (tptp.double_divide _let_25 _let_26)))) (let ((_let_40 (= _let_35 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_36)) _let_19) tptp.identity))))) (let ((_let_41 (= _let_26 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_27)) _let_18) tptp.identity))))) (let ((_let_42 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_35 _let_20)) _let_19) tptp.identity))) (let ((_let_43 (tptp.double_divide _let_34 _let_42))) (let ((_let_44 (= tptp.identity _let_43))) (let ((_let_45 (= tptp.identity (tptp.double_divide _let_19 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_35)) _let_34) tptp.identity))))) (let ((_let_46 (= _let_42 (tptp.double_divide _let_19 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_43)) _let_34) tptp.identity))))) (let ((_let_47 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_27)) _let_18) tptp.identity))) (let ((_let_48 (= _let_47 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 (tptp.double_divide tptp.identity _let_47))) tptp.identity) tptp.identity))))) (let ((_let_49 (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_15)))) (let ((_let_50 (tptp.double_divide _let_49 _let_8))) (let ((_let_51 (tptp.double_divide _let_50 tptp.identity))) (let ((_let_52 (tptp.double_divide tptp.identity _let_51))) (let ((_let_53 (= _let_9 _let_52))) (let ((_let_54 (= tptp.identity (tptp.double_divide _let_50 _let_51)))) (let ((_let_55 (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_13)))) (let ((_let_56 (tptp.double_divide _let_55 _let_6))) (let ((_let_57 (tptp.double_divide _let_56 tptp.identity))) (let ((_let_58 (tptp.double_divide tptp.identity _let_57))) (let ((_let_59 (= _let_7 _let_58))) (let ((_let_60 (tptp.double_divide _let_17 _let_8))) (let ((_let_61 (tptp.double_divide (tptp.double_divide tptp.identity _let_60) _let_7))) (let ((_let_62 (tptp.double_divide _let_61 tptp.identity))) (let ((_let_63 (tptp.double_divide tptp.identity _let_62))) (let ((_let_64 (= tptp.a3 _let_63))) (let ((_let_65 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_51)) _let_50))) (let ((_let_66 (tptp.double_divide _let_65 tptp.identity))) (let ((_let_67 (tptp.double_divide tptp.identity _let_66))) (let ((_let_68 (= tptp.identity _let_67))) (let ((_let_69 (= _let_66 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_67)) tptp.identity) tptp.identity))))) (let ((_let_70 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_7 _let_63)) tptp.identity))) (let ((_let_71 (tptp.double_divide _let_70 tptp.identity))) (let ((_let_72 (tptp.double_divide _let_6 _let_71))) (let ((_let_73 (= _let_62 _let_72))) (let ((_let_74 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_66 _let_66)) _let_65) tptp.identity))) (let ((_let_75 (tptp.double_divide _let_65 _let_74))) (let ((_let_76 (= tptp.identity _let_75))) (let ((_let_77 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_66 _let_8)) _let_7) tptp.identity))) (let ((_let_78 (tptp.double_divide _let_65 _let_77))) (let ((_let_79 (= tptp.a3 _let_78))) (let ((_let_80 (tptp.double_divide _let_66 _let_6))) (let ((_let_81 (tptp.double_divide tptp.identity _let_80))) (let ((_let_82 (tptp.double_divide _let_81 tptp.c3))) (let ((_let_83 (tptp.double_divide _let_82 tptp.identity))) (let ((_let_84 (= tptp.b3 (tptp.double_divide _let_65 _let_83)))) (let ((_let_85 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_66 _let_9)) _let_8))) (let ((_let_86 (tptp.double_divide _let_85 tptp.identity))) (let ((_let_87 (tptp.double_divide _let_65 _let_86))) (let ((_let_88 (= tptp.identity _let_87))) (let ((_let_89 (tptp.double_divide _let_61 _let_62))) (let ((_let_90 (= tptp.identity _let_89))) (let ((_let_91 (= _let_74 (tptp.double_divide _let_65 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_66 _let_75)) _let_65) tptp.identity))))) (let ((_let_92 (= _let_86 (tptp.double_divide _let_65 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_66 _let_87)) _let_65) tptp.identity))))) (let ((_let_93 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_7 _let_78)) _let_65) tptp.identity))) (let ((_let_94 (tptp.double_divide _let_6 _let_93))) (let ((_let_95 (= _let_77 _let_94))) (let ((_let_96 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_86)) _let_85) tptp.identity))) (let ((_let_97 (tptp.double_divide _let_85 _let_96))) (let ((_let_98 (= tptp.identity _let_97))) (let ((_let_99 (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_72)))) (let ((_let_100 (tptp.double_divide (tptp.double_divide _let_99 _let_6) tptp.identity))) (let ((_let_101 (tptp.double_divide _let_85 _let_100))) (let ((_let_102 (= _let_71 _let_101))) (let ((_let_103 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_52)) tptp.identity) tptp.identity))) (let ((_let_104 (tptp.double_divide _let_85 _let_103))) (let ((_let_105 (= _let_51 _let_104))) (let ((_let_106 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_51 _let_86)) _let_85) tptp.identity))) (let ((_let_107 (tptp.double_divide _let_50 _let_106))) (let ((_let_108 (= tptp.identity _let_107))) (let ((_let_109 (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_56)))) (let ((_let_110 (tptp.double_divide _let_109 _let_55))) (let ((_let_111 (tptp.double_divide _let_110 tptp.identity))) (let ((_let_112 (= _let_6 (tptp.double_divide _let_85 _let_111)))) (let ((_let_113 (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_7)))) (let ((_let_114 (tptp.double_divide _let_113 _let_6))) (let ((_let_115 (tptp.double_divide _let_114 tptp.identity))) (let ((_let_116 (tptp.double_divide _let_85 _let_115))) (let ((_let_117 (= tptp.identity _let_116))) (let ((_let_118 (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_78)))) (let ((_let_119 (tptp.double_divide _let_118 _let_65))) (let ((_let_120 (tptp.double_divide _let_119 tptp.identity))) (let ((_let_121 (tptp.double_divide _let_85 _let_120))) (let ((_let_122 (= _let_77 _let_121))) (let ((_let_123 (= tptp.identity (tptp.double_divide _let_70 _let_71)))) (let ((_let_124 (= _let_96 (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_51 _let_97)) _let_85) tptp.identity))))) (let ((_let_125 (= _let_115 (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_51 _let_116)) _let_85) tptp.identity))))) (let ((_let_126 (= _let_93 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 _let_94)) _let_6) tptp.identity))))) (let ((_let_127 (= _let_8 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_50)) _let_49) tptp.identity))))) (let ((_let_128 (= _let_100 (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_51 _let_101)) _let_85) tptp.identity))))) (let ((_let_129 (= _let_71 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_72)) _let_6) tptp.identity))))) (let ((_let_130 (= _let_106 (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_51 _let_107)) _let_50) tptp.identity))))) (let ((_let_131 (= _let_103 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_104)) _let_85) tptp.identity))))) (let ((_let_132 (= _let_51 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_52)) tptp.identity) tptp.identity))))) (let ((_let_133 (= _let_8 (tptp.double_divide _let_50 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_51 (tptp.double_divide tptp.identity _let_8))) tptp.identity) tptp.identity))))) (let ((_let_134 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_115 _let_115)) _let_114) tptp.identity))) (let ((_let_135 (tptp.double_divide _let_114 _let_134))) (let ((_let_136 (= tptp.identity _let_135))) (let ((_let_137 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_9 _let_115)) _let_114))) (let ((_let_138 (tptp.double_divide _let_137 tptp.identity))) (let ((_let_139 (tptp.double_divide _let_8 _let_138))) (let ((_let_140 (= tptp.identity _let_139))) (let ((_let_141 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_9 _let_8)) _let_7) tptp.identity))) (let ((_let_142 (= tptp.a3 (tptp.double_divide _let_8 _let_141)))) (let ((_let_143 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_115 _let_6)) tptp.c3) tptp.identity))) (let ((_let_144 (tptp.double_divide _let_114 _let_143))) (let ((_let_145 (= tptp.b3 _let_144))) (let ((_let_146 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_115 _let_121)) _let_85) tptp.identity))) (let ((_let_147 (tptp.double_divide _let_114 _let_146))) (let ((_let_148 (= _let_120 _let_147))) (let ((_let_149 (= _let_6 (tptp.double_divide _let_114 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_115 _let_56)) _let_55) tptp.identity))))) (let ((_let_150 (tptp.double_divide _let_115 _let_83))) (let ((_let_151 (tptp.double_divide tptp.identity _let_150))) (let ((_let_152 (tptp.double_divide _let_151 _let_82))) (let ((_let_153 (tptp.double_divide _let_152 tptp.identity))) (let ((_let_154 (tptp.double_divide _let_114 _let_153))) (let ((_let_155 (= tptp.identity _let_154))) (let ((_let_156 (tptp.double_divide tptp.identity (tptp.double_divide _let_115 _let_58)))) (let ((_let_157 (tptp.double_divide _let_156 tptp.identity))) (let ((_let_158 (= _let_57 (tptp.double_divide _let_114 (tptp.double_divide _let_157 tptp.identity))))) (let ((_let_159 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_115 _let_111)) _let_110))) (let ((_let_160 (tptp.double_divide _let_159 tptp.identity))) (let ((_let_161 (tptp.double_divide _let_114 _let_160))) (let ((_let_162 (= tptp.identity _let_161))) (let ((_let_163 (tptp.double_divide _let_66 _let_57))) (let ((_let_164 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_115 (tptp.double_divide tptp.identity _let_163))) tptp.identity) tptp.identity))) (let ((_let_165 (tptp.double_divide _let_114 _let_164))) (let ((_let_166 (= _let_163 _let_165))) (let ((_let_167 (tptp.double_divide _let_66 _let_62))) (let ((_let_168 (tptp.double_divide tptp.identity _let_167))) (let ((_let_169 (tptp.double_divide _let_115 _let_168))) (let ((_let_170 (tptp.double_divide tptp.identity _let_169))) (let ((_let_171 (tptp.double_divide _let_170 tptp.identity))) (let ((_let_172 (tptp.double_divide _let_171 tptp.identity))) (let ((_let_173 (tptp.double_divide _let_114 _let_172))) (let ((_let_174 (= _let_167 _let_173))) (let ((_let_175 (tptp.double_divide _let_118 tptp.identity))) (let ((_let_176 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_175 _let_115)) _let_114))) (let ((_let_177 (tptp.double_divide _let_176 tptp.identity))) (let ((_let_178 (= tptp.identity (tptp.double_divide _let_118 _let_177)))) (let ((_let_179 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_115 _let_120)) _let_119) tptp.identity))) (let ((_let_180 (tptp.double_divide _let_114 _let_179))) (let ((_let_181 (= tptp.identity _let_180))) (let ((_let_182 (tptp.double_divide _let_109 tptp.identity))) (let ((_let_183 (= tptp.identity (tptp.double_divide _let_109 _let_182)))) (let ((_let_184 (tptp.double_divide _let_110 _let_111))) (let ((_let_185 (= tptp.identity _let_184))) (let ((_let_186 (= tptp.identity (tptp.double_divide _let_118 _let_175)))) (let ((_let_187 (tptp.double_divide _let_119 _let_120))) (let ((_let_188 (= tptp.identity _let_187))) (let ((_let_189 (= _let_134 (tptp.double_divide _let_8 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_9 _let_135)) _let_114) tptp.identity))))) (let ((_let_190 (= _let_153 (tptp.double_divide _let_8 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_9 _let_154)) _let_114) tptp.identity))))) (let ((_let_191 (= _let_160 (tptp.double_divide _let_8 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_9 _let_161)) _let_114) tptp.identity))))) (let ((_let_192 (= _let_179 (tptp.double_divide _let_8 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_9 _let_180)) _let_114) tptp.identity))))) (let ((_let_193 (= _let_141 (tptp.double_divide _let_6 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_7 (tptp.double_divide _let_51 _let_141))) _let_51) tptp.identity))))) (let ((_let_194 (tptp.double_divide _let_49 tptp.identity))) (let ((_let_195 (= _let_138 (tptp.double_divide _let_49 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_194 _let_139)) _let_8) tptp.identity))))) (let ((_let_196 (= _let_172 (tptp.double_divide _let_6 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_7 _let_173)) _let_114) tptp.identity))))) (let ((_let_197 (= _let_146 (tptp.double_divide _let_118 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_175 _let_147)) _let_114) tptp.identity))))) (let ((_let_198 (= _let_120 (tptp.double_divide _let_170 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_171 _let_187)) _let_119) tptp.identity))))) (let ((_let_199 (= _let_175 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 (tptp.double_divide _let_169 _let_175))) _let_169) tptp.identity))))) (let ((_let_200 (= _let_177 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 (tptp.double_divide _let_169 _let_177))) _let_169) tptp.identity))))) (let ((_let_201 (tptp.double_divide tptp.identity (tptp.double_divide _let_7 _let_120)))) (let ((_let_202 (tptp.double_divide (tptp.double_divide _let_201 _let_119) tptp.identity))) (let ((_let_203 (tptp.double_divide _let_6 _let_202))) (let ((_let_204 (= tptp.identity _let_203))) (let ((_let_205 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_120 _let_160)) _let_159) tptp.identity))) (let ((_let_206 (= tptp.identity (tptp.double_divide _let_119 _let_205)))) (let ((_let_207 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_120 _let_177)) _let_176) tptp.identity))) (let ((_let_208 (= tptp.identity (tptp.double_divide _let_119 _let_207)))) (let ((_let_209 (tptp.double_divide tptp.identity (tptp.double_divide _let_62 _let_6)))) (let ((_let_210 (tptp.double_divide _let_209 tptp.c3))) (let ((_let_211 (tptp.double_divide _let_210 tptp.identity))) (let ((_let_212 (tptp.double_divide _let_61 _let_211))) (let ((_let_213 (= tptp.b3 _let_212))) (let ((_let_214 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_138 _let_114)) _let_113))) (let ((_let_215 (tptp.double_divide _let_214 tptp.identity))) (let ((_let_216 (= _let_6 (tptp.double_divide _let_137 _let_215)))) (let ((_let_217 (tptp.double_divide _let_160 _let_144))) (let ((_let_218 (tptp.double_divide tptp.identity _let_217))) (let ((_let_219 (tptp.double_divide _let_218 _let_114))) (let ((_let_220 (tptp.double_divide _let_219 tptp.identity))) (let ((_let_221 (tptp.double_divide _let_159 _let_220))) (let ((_let_222 (= _let_143 _let_221))) (let ((_let_223 (tptp.double_divide _let_168 _let_61))) (let ((_let_224 (tptp.double_divide _let_115 _let_81))) (let ((_let_225 (tptp.double_divide tptp.identity _let_224))) (let ((_let_226 (tptp.double_divide _let_225 tptp.identity))) (let ((_let_227 (tptp.double_divide _let_226 _let_223))) (let ((_let_228 (tptp.double_divide tptp.identity _let_227))) (let ((_let_229 (tptp.double_divide _let_228 _let_168))) (let ((_let_230 (tptp.double_divide _let_229 tptp.identity))) (let ((_let_231 (tptp.double_divide _let_225 _let_230))) (let ((_let_232 (= _let_61 _let_231))) (let ((_let_233 (tptp.double_divide tptp.identity (tptp.double_divide _let_62 _let_114)))) (let ((_let_234 (tptp.double_divide _let_233 _let_113))) (let ((_let_235 (tptp.double_divide _let_234 tptp.identity))) (let ((_let_236 (= _let_6 (tptp.double_divide _let_61 _let_235)))) (let ((_let_237 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_182 _let_111)) _let_110) tptp.identity))) (let ((_let_238 (= tptp.identity (tptp.double_divide _let_109 _let_237)))) (let ((_let_239 (= tptp.identity (tptp.double_divide _let_156 _let_157)))) (let ((_let_240 (tptp.double_divide _let_226 tptp.identity))) (let ((_let_241 (= tptp.identity (tptp.double_divide _let_226 _let_240)))) (let ((_let_242 (= _let_202 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_203)) _let_6) tptp.identity))))) (let ((_let_243 (tptp.double_divide _let_201 tptp.identity))) (let ((_let_244 (= _let_57 (tptp.double_divide _let_201 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_243 _let_58)) tptp.identity) tptp.identity))))) (let ((_let_245 (= _let_164 (tptp.double_divide _let_201 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_243 _let_165)) _let_114) tptp.identity))))) (let ((_let_246 (= _let_80 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_81)) tptp.identity) tptp.identity))))) (let ((_let_247 (= _let_227 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 (tptp.double_divide _let_55 _let_227))) _let_55) tptp.identity))))) (let ((_let_248 (= _let_111 (tptp.double_divide _let_225 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_226 _let_184)) _let_110) tptp.identity))))) (let ((_let_249 (= _let_182 (tptp.double_divide _let_85 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_86 (tptp.double_divide _let_224 _let_182))) _let_224) tptp.identity))))) (let ((_let_250 (= _let_71 (tptp.double_divide _let_99 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_99 tptp.identity) _let_72)) _let_6) tptp.identity))))) (let ((_let_251 (= _let_61 (tptp.double_divide _let_152 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_153 _let_223)) _let_168) tptp.identity))))) (let ((_let_252 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_153 _let_6)) tptp.c3) tptp.identity))) (let ((_let_253 (tptp.double_divide _let_152 _let_252))) (let ((_let_254 (= tptp.b3 _let_253))) (let ((_let_255 (tptp.double_divide tptp.identity (tptp.double_divide _let_153 _let_221)))) (let ((_let_256 (= _let_220 (tptp.double_divide _let_152 (tptp.double_divide (tptp.double_divide _let_255 _let_159) tptp.identity))))) (let ((_let_257 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_153 _let_231)) _let_225) tptp.identity))) (let ((_let_258 (tptp.double_divide _let_152 _let_257))) (let ((_let_259 (= _let_230 _let_258))) (let ((_let_260 (= _let_230 (tptp.double_divide _let_61 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_62 _let_231)) _let_225) tptp.identity))))) (let ((_let_261 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_7 _let_6)) tptp.c3) tptp.identity))) (let ((_let_262 (= tptp.b3 (tptp.double_divide _let_6 _let_261)))) (let ((_let_263 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_62 _let_153)) _let_152) tptp.identity))) (let ((_let_264 (= tptp.identity (tptp.double_divide _let_61 _let_263)))) (let ((_let_265 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_120 _let_211)) _let_210) tptp.identity))) (let ((_let_266 (= tptp.identity (tptp.double_divide _let_119 _let_265)))) (let ((_let_267 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_9 _let_7)) _let_6))) (let ((_let_268 (tptp.double_divide _let_267 tptp.identity))) (let ((_let_269 (tptp.double_divide _let_8 _let_268))) (let ((_let_270 (= tptp.identity _let_269))) (let ((_let_271 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_51 _let_215)) _let_214))) (let ((_let_272 (tptp.double_divide _let_271 tptp.identity))) (let ((_let_273 (= tptp.identity (tptp.double_divide _let_50 _let_272)))) (let ((_let_274 (tptp.double_divide tptp.identity (tptp.double_divide _let_153 _let_151)))) (let ((_let_275 (tptp.double_divide _let_274 tptp.identity))) (let ((_let_276 (tptp.double_divide _let_275 tptp.identity))) (let ((_let_277 (tptp.double_divide _let_152 _let_276))) (let ((_let_278 (= _let_150 _let_277))) (let ((_let_279 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_153 _let_220)) _let_219))) (let ((_let_280 (tptp.double_divide _let_279 tptp.identity))) (let ((_let_281 (tptp.double_divide _let_152 _let_280))) (let ((_let_282 (= tptp.identity _let_281))) (let ((_let_283 (tptp.double_divide tptp.identity (tptp.double_divide _let_120 _let_235)))) (let ((_let_284 (tptp.double_divide _let_283 _let_234))) (let ((_let_285 (tptp.double_divide _let_284 tptp.identity))) (let ((_let_286 (= tptp.identity (tptp.double_divide _let_119 _let_285)))) (let ((_let_287 (= tptp.identity (tptp.double_divide _let_219 _let_220)))) (let ((_let_288 (= tptp.identity (tptp.double_divide _let_229 _let_230)))) (let ((_let_289 (= _let_280 (tptp.double_divide _let_61 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_62 _let_281)) _let_152) tptp.identity))))) (let ((_let_290 (= _let_265 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 (tptp.double_divide _let_62 _let_265))) _let_62) tptp.identity))))) (let ((_let_291 (tptp.double_divide _let_62 _let_285))) (let ((_let_292 (= _let_285 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_291)) _let_62) tptp.identity))))) (let ((_let_293 (= _let_263 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 (tptp.double_divide _let_167 _let_263))) _let_167) tptp.identity))))) (let ((_let_294 (= _let_272 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 (tptp.double_divide _let_60 _let_272))) _let_60) tptp.identity))))) (let ((_let_295 (= _let_268 (tptp.double_divide _let_49 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_194 _let_269)) _let_8) tptp.identity))))) (let ((_let_296 (= _let_257 (tptp.double_divide _let_228 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_228 tptp.identity) _let_258)) _let_152) tptp.identity))))) (let ((_let_297 (= _let_230 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_231)) _let_225) tptp.identity))))) (let ((_let_298 (tptp.double_divide tptp.identity (tptp.double_divide _let_57 _let_230)))) (let ((_let_299 (= _let_7 (tptp.double_divide _let_298 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_298 tptp.identity) (tptp.double_divide _let_225 _let_7))) _let_225) tptp.identity))))) (let ((_let_300 (tptp.double_divide tptp.identity (tptp.double_divide _let_7 _let_62)))) (let ((_let_301 (= _let_225 (tptp.double_divide _let_300 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_300 tptp.identity) (tptp.double_divide _let_167 _let_225))) _let_167) tptp.identity))))) (let ((_let_302 (= tptp.identity (tptp.double_divide _let_279 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_280 _let_280)) _let_279) tptp.identity))))) (let ((_let_303 (= tptp.identity (tptp.double_divide _let_267 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_268 _let_280)) _let_279) tptp.identity))))) (let ((_let_304 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_268 _let_272)) _let_271))) (let ((_let_305 (tptp.double_divide _let_304 tptp.identity))) (let ((_let_306 (tptp.double_divide _let_267 _let_305))) (let ((_let_307 (= tptp.identity _let_306))) (let ((_let_308 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_7 _let_280)) _let_279) tptp.identity))) (let ((_let_309 (tptp.double_divide _let_6 _let_308))) (let ((_let_310 (= tptp.identity _let_309))) (let ((_let_311 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_280 _let_268)) _let_267) tptp.identity))) (let ((_let_312 (tptp.double_divide _let_279 _let_311))) (let ((_let_313 (= tptp.identity _let_312))) (let ((_let_314 (= tptp.identity (tptp.double_divide _let_284 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_285 _let_280)) _let_279) tptp.identity))))) (let ((_let_315 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity _let_291) _let_284) tptp.identity))) (let ((_let_316 (= tptp.identity (tptp.double_divide _let_61 _let_315)))) (let ((_let_317 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_62 _let_280)) _let_279) tptp.identity))) (let ((_let_318 (= tptp.identity (tptp.double_divide _let_61 _let_317)))) (let ((_let_319 (= _let_276 (tptp.double_divide _let_279 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_280 _let_277)) _let_152) tptp.identity))))) (let ((_let_320 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_62 _let_7)) _let_6))) (let ((_let_321 (tptp.double_divide _let_320 tptp.identity))) (let ((_let_322 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_62 _let_321)) _let_320) tptp.identity))) (let ((_let_323 (= tptp.identity (tptp.double_divide _let_61 _let_322)))) (let ((_let_324 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_7 _let_321)) _let_320) tptp.identity))) (let ((_let_325 (tptp.double_divide _let_6 _let_324))) (let ((_let_326 (= tptp.identity _let_325))) (let ((_let_327 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_62 (tptp.double_divide _let_298 _let_229))) _let_298) tptp.identity))) (let ((_let_328 (tptp.double_divide _let_61 _let_327))) (let ((_let_329 (= _let_229 _let_328))) (let ((_let_330 (tptp.double_divide tptp.identity (tptp.double_divide _let_7 _let_152)))) (let ((_let_331 (tptp.double_divide _let_330 _let_151))) (let ((_let_332 (tptp.double_divide _let_331 tptp.identity))) (let ((_let_333 (= _let_82 (tptp.double_divide _let_6 _let_332)))) (let ((_let_334 (tptp.double_divide _let_255 tptp.identity))) (let ((_let_335 (tptp.double_divide _let_334 _let_280))) (let ((_let_336 (tptp.double_divide tptp.identity _let_335))) (let ((_let_337 (tptp.double_divide (tptp.double_divide _let_336 _let_279) tptp.identity))) (let ((_let_338 (= tptp.identity (tptp.double_divide _let_255 _let_337)))) (let ((_let_339 (tptp.double_divide tptp.identity (tptp.double_divide _let_62 _let_152)))) (let ((_let_340 (tptp.double_divide _let_339 _let_151))) (let ((_let_341 (tptp.double_divide _let_340 tptp.identity))) (let ((_let_342 (= _let_82 (tptp.double_divide _let_61 _let_341)))) (let ((_let_343 (tptp.double_divide tptp.identity (tptp.double_divide _let_62 _let_223)))) (let ((_let_344 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_280 (tptp.double_divide _let_343 _let_168))) _let_343))) (let ((_let_345 (tptp.double_divide _let_344 tptp.identity))) (let ((_let_346 (tptp.double_divide _let_279 _let_345))) (let ((_let_347 (= _let_168 _let_346))) (let ((_let_348 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_280 _let_234)) _let_233))) (let ((_let_349 (tptp.double_divide _let_348 tptp.identity))) (let ((_let_350 (tptp.double_divide _let_279 _let_349))) (let ((_let_351 (= _let_113 _let_350))) (let ((_let_352 (= tptp.identity (tptp.double_divide _let_255 _let_334)))) (let ((_let_353 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_153 _let_212)) _let_61))) (let ((_let_354 (tptp.double_divide _let_353 tptp.identity))) (let ((_let_355 (= tptp.identity (tptp.double_divide _let_353 _let_354)))) (let ((_let_356 (= tptp.identity (tptp.double_divide _let_275 _let_276)))) (let ((_let_357 (= _let_311 (tptp.double_divide _let_61 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_62 _let_312)) _let_279) tptp.identity))))) (let ((_let_358 (tptp.double_divide _let_55 tptp.identity))) (let ((_let_359 (= _let_308 (tptp.double_divide _let_55 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_358 _let_309)) _let_6) tptp.identity))))) (let ((_let_360 (= _let_324 (tptp.double_divide _let_55 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_358 _let_325)) _let_6) tptp.identity))))) (let ((_let_361 (= _let_315 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 (tptp.double_divide _let_167 _let_315))) _let_167) tptp.identity))))) (let ((_let_362 (= _let_317 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 (tptp.double_divide _let_167 _let_317))) _let_167) tptp.identity))))) (let ((_let_363 (= _let_322 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 (tptp.double_divide _let_167 _let_322))) _let_167) tptp.identity))))) (let ((_let_364 (= _let_252 (tptp.double_divide _let_279 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_280 _let_253)) _let_152) tptp.identity))))) (let ((_let_365 (tptp.double_divide tptp.identity (tptp.double_divide _let_7 (tptp.double_divide _let_300 _let_61))))) (let ((_let_366 (= _let_229 (tptp.double_divide _let_365 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_365 tptp.identity) (tptp.double_divide _let_168 _let_229))) _let_168) tptp.identity))))) (let ((_let_367 (= _let_220 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_221)) _let_159) tptp.identity))))) (let ((_let_368 (tptp.double_divide _let_218 tptp.identity))) (let ((_let_369 (tptp.double_divide tptp.identity (tptp.double_divide _let_368 _let_220)))) (let ((_let_370 (= _let_334 (tptp.double_divide _let_369 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_369 tptp.identity) (tptp.double_divide _let_217 _let_334))) _let_217) tptp.identity))))) (let ((_let_371 (= _let_345 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_346)) _let_279) tptp.identity))))) (let ((_let_372 (= _let_349 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_350)) _let_279) tptp.identity))))) (let ((_let_373 (= _let_305 (tptp.double_divide _let_8 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_9 _let_306)) _let_267) tptp.identity))))) (let ((_let_374 (= _let_220 (tptp.double_divide _let_274 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_275 (tptp.double_divide tptp.identity _let_220))) tptp.identity) tptp.identity))))) (let ((_let_375 (= _let_335 (tptp.double_divide _let_218 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_368 _let_336)) tptp.identity) tptp.identity))))) (let ((_let_376 (= tptp.identity (tptp.double_divide _let_304 _let_305)))) (let ((_let_377 (tptp.double_divide tptp.b3 tptp.identity))) (let ((_let_378 (= _let_211 (tptp.double_divide tptp.b3 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_377 (tptp.double_divide _let_167 _let_211))) _let_167) tptp.identity))))) (let ((_let_379 (tptp.double_divide _let_211 _let_11))) (let ((_let_380 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity _let_379) _let_10) tptp.identity))) (let ((_let_381 (tptp.double_divide _let_210 _let_380))) (let ((_let_382 (= tptp.identity _let_381))) (let ((_let_383 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_280 _let_285)) _let_284))) (let ((_let_384 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_383 tptp.identity) _let_345)) _let_344) tptp.identity))) (let ((_let_385 (= tptp.identity (tptp.double_divide _let_383 _let_384)))) (let ((_let_386 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_7 _let_349)) _let_348) tptp.identity))) (let ((_let_387 (tptp.double_divide _let_6 _let_386))) (let ((_let_388 (= tptp.identity _let_387))) (let ((_let_389 (= tptp.c3 (tptp.double_divide _let_82 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_83 _let_82)) _let_81) tptp.identity))))) (let ((_let_390 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_7 _let_231)) _let_225))) (let ((_let_391 (= tptp.identity (tptp.double_divide _let_348 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_349 (tptp.double_divide _let_390 tptp.identity))) _let_390) tptp.identity))))) (let ((_let_392 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_62 _let_328)) _let_61) tptp.identity))) (let ((_let_393 (tptp.double_divide _let_61 _let_392))) (let ((_let_394 (= _let_327 _let_393))) (let ((_let_395 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_349 _let_332)) _let_331))) (let ((_let_396 (tptp.double_divide _let_395 tptp.identity))) (let ((_let_397 (tptp.double_divide _let_348 _let_396))) (let ((_let_398 (= tptp.identity _let_397))) (let ((_let_399 (= tptp.identity (tptp.double_divide _let_331 _let_332)))) (let ((_let_400 (= tptp.identity (tptp.double_divide _let_340 _let_341)))) (let ((_let_401 (= _let_332 (tptp.double_divide _let_82 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_83 (tptp.double_divide _let_81 _let_332))) _let_81) tptp.identity))))) (let ((_let_402 (= _let_386 (tptp.double_divide _let_55 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_358 _let_387)) _let_6) tptp.identity))))) (let ((_let_403 (= _let_380 (tptp.double_divide tptp.b3 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_377 _let_381)) _let_210) tptp.identity))))) (let ((_let_404 (= _let_392 (tptp.double_divide _let_233 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_233 tptp.identity) _let_393)) _let_61) tptp.identity))))) (let ((_let_405 (= _let_211 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 (tptp.double_divide tptp.a3 _let_211))) tptp.a3) tptp.identity))))) (let ((_let_406 (= _let_261 (tptp.double_divide _let_331 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_332 (tptp.double_divide _let_57 _let_261))) _let_57) tptp.identity))))) (let ((_let_407 (= _let_396 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 _let_397)) _let_348) tptp.identity))))) (let ((_let_408 (= _let_62 (tptp.double_divide _let_283 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_283 tptp.identity) _let_89)) _let_61) tptp.identity))))) (let ((_let_409 (tptp.double_divide _let_220 _let_345))) (let ((_let_410 (= _let_11 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 (tptp.double_divide _let_409 _let_11))) _let_409) tptp.identity))))) (let ((_let_411 (= _let_384 (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_17 (tptp.double_divide tptp.identity _let_384))) tptp.identity) tptp.identity))))) (let ((_let_412 (= _let_11 (tptp.double_divide _let_339 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_339 tptp.identity) _let_379)) _let_211) tptp.identity))))) (let ((_let_413 (tptp.double_divide tptp.identity (tptp.double_divide _let_345 _let_341)))) (let ((_let_414 (= _let_62 (tptp.double_divide _let_413 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_413 tptp.identity) (tptp.double_divide tptp.a3 _let_62))) tptp.a3) tptp.identity))))) (let ((_let_415 (= _let_340 (tptp.double_divide _let_209 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_209 tptp.identity) (tptp.double_divide _let_151 _let_340))) _let_151) tptp.identity))))) (let ((_let_416 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_211 _let_210)) _let_209) tptp.identity))) (let ((_let_417 (= tptp.c3 (tptp.double_divide _let_210 _let_416)))) (let ((_let_418 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_7 _let_396)) _let_395) tptp.identity))) (let ((_let_419 (tptp.double_divide _let_6 _let_418))) (let ((_let_420 (= tptp.identity _let_419))) (let ((_let_421 (= _let_418 (tptp.double_divide _let_55 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_358 _let_419)) _let_6) tptp.identity))))) (let ((_let_422 (tptp.double_divide tptp.identity (tptp.double_divide _let_83 _let_331)))) (let ((_let_423 (= tptp.identity (tptp.double_divide _let_422 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_422 tptp.identity) (tptp.double_divide _let_80 tptp.identity))) _let_80) tptp.identity))))) (let ((_let_424 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_220 (tptp.double_divide _let_422 _let_330))) _let_422) tptp.identity))) (let ((_let_425 (= _let_330 (tptp.double_divide _let_219 _let_424)))) (let ((_let_426 (= _let_424 (tptp.double_divide _let_330 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide _let_330 tptp.identity) (tptp.double_divide _let_83 _let_424))) _let_83) tptp.identity))))) (let ((_let_427 (= _let_416 (tptp.double_divide tptp.c3 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.c3 tptp.identity) (tptp.double_divide _let_354 _let_416))) _let_354) tptp.identity))))) (let ((_let_428 (AND_INTRO (TRUST_SUBS_EQ (ASSUME :args (_let_3)) :args ((= tptp.inverse (lambda ((BOUND_VARIABLE_633 $$unsorted)) (tptp.double_divide BOUND_VARIABLE_633 tptp.identity))))) (TRUST_SUBS_EQ (ASSUME :args (_let_4)) :args ((= tptp.multiply (lambda ((BOUND_VARIABLE_623 $$unsorted) (BOUND_VARIABLE_624 $$unsorted)) (tptp.double_divide (tptp.double_divide BOUND_VARIABLE_624 BOUND_VARIABLE_623) tptp.identity)))))))) (let ((_let_429 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.double_divide A tptp.identity)))))) (let ((_let_430 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO _let_428 :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_431 (_let_429))) (let ((_let_432 ((tptp.double_divide A tptp.identity)))) (let ((_let_433 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide A tptp.identity) (tptp.double_divide B C))) B) tptp.identity)))))) (let ((_let_434 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_435 (_let_433))) (let ((_let_436 ((tptp.double_divide (tptp.double_divide A tptp.identity) (tptp.double_divide B C))))) (let ((_let_437 (and _let_14 _let_16 _let_22 _let_24 _let_28 _let_29 _let_31 _let_32 _let_33 _let_37 _let_38 _let_39 _let_40 _let_41 _let_44 _let_45 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:args _let_440))) (let ((_let_1008 (REFL :args (_let_82)))) (let ((_let_1009 (TRANS _let_983 _let_962 _let_882 _let_879))) (let ((_let_1010 (TRANS _let_860 _let_857 _let_854 _let_985))) (let ((_let_1011 (TRANS _let_1010 _let_1009 _let_849))) (let ((_let_1012 (CONG _let_1011 _let_1008 :args _let_440))) (let ((_let_1013 (SYMM _let_924))) (let ((_let_1014 (ASSUME :args (_let_389)))) (let ((_let_1015 (SYMM _let_1014))) (let ((_let_1016 (ASSUME :args (_let_333)))) (let ((_let_1017 (SYMM _let_1016))) (let ((_let_1018 (REFL :args (_let_332)))) (let ((_let_1019 (TRANS _let_920 _let_783 _let_781 _let_743))) (let ((_let_1020 (CONG _let_1011 (TRANS (CONG _let_1019 _let_1018 :args _let_440) _let_1017) :args _let_440))) (let ((_let_1021 (CONG (CONG _let_444 (TRANS _let_1020 (SYMM _let_1012)) :args _let_440) (REFL :args (_let_81)) :args _let_440))) (let ((_let_1022 (CONG _let_1021 _let_444 :args _let_440))) (let ((_let_1023 (CONG _let_1008 _let_1022 :args _let_440))) (let ((_let_1024 (ASSUME :args 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:args _let_440))) (let ((_let_1098 (TRANS _let_1097 (CONG (TRANS _let_1055 _let_1078) _let_1063 :args _let_440) _let_1096 _let_1069 _let_1065))) (let ((_let_1099 (SYMM _let_1097))) (let ((_let_1100 (CONG (TRANS _let_1099 _let_1098 _let_1092) _let_444 :args _let_440))) (let ((_let_1101 (ASSUME :args (_let_366)))) (let ((_let_1102 (TRANS _let_799 _let_796 _let_750 _let_696))) (let ((_let_1103 (CONG _let_444 (TRANS (CONG (TRANS _let_1102 _let_1075 _let_715) (SYMM _let_1071) :args _let_440) _let_1072 _let_1040 _let_725 _let_724 _let_719 _let_718 _let_527 _let_547) :args _let_440))) (let ((_let_1104 (TRANS _let_1103 _let_688 _let_640 _let_682))) (let ((_let_1105 (CONG (REFL :args (_let_298)) (TRANS (CONG (TRANS (CONG (TRANS (TRANS (CONG _let_444 (TRANS (CONG (TRANS (TRANS (CONG (TRANS _let_1104 _let_727 _let_683) _let_444 :args _let_440) _let_679 _let_665 _let_676 _let_609 _let_545 _let_687) _let_767) (TRANS (CONG _let_1044 _let_529 :args _let_440) _let_692) :args _let_440) _let_659 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(TRANS _let_1092 _let_1091 _let_1090 (CONG (TRANS _let_1060 _let_1057 _let_1056 (TRANS _let_759 _let_784 _let_823 _let_821 (CONG _let_694 (TRANS _let_742 _let_916 _let_915 (CONG (TRANS _let_442 _let_481 _let_504 _let_463 _let_456 (CONG _let_1110 _let_444 :args _let_440)) (TRANS _let_782 _let_760 _let_1107 _let_1105 (CONG _let_1103 (REFL :args (_let_229)) :args _let_440)) :args _let_440)) :args _let_440))) _let_1063 :args _let_440))) _let_444 :args _let_440)) :args _let_440) (SYMM _let_1101)) (SYMM _let_1098) _let_1097) _let_444 :args _let_440) _let_1100 _let_1066 _let_1049 _let_1046) _let_1089) (SYMM _let_1095) :args _let_440) _let_1094 _let_1037 _let_1035 _let_1034 _let_783 _let_781 _let_743) :args _let_440) _let_918 _let_917 _let_782 _let_760))) (let ((_let_1112 (ASSUME :args (_let_326)))) (let ((_let_1113 (TRANS (CONG _let_694 _let_444 :args _let_440) _let_455 _let_490 _let_489 _let_480 _let_443))) (let ((_let_1114 (ASSUME :args (_let_360)))) (let ((_let_1115 (TRANS (SYMM (SYMM _let_1114)) (CONG _let_697 (TRANS (CONG (TRANS (TRANS (CONG (TRANS (TRANS (CONG _let_444 (TRANS (CONG _let_1113 (SYMM _let_1112) :args _let_440) _let_455 _let_490 _let_489 _let_480 _let_443) :args _let_440) _let_455 _let_490 _let_489 _let_480 _let_443) _let_698) _let_540 :args _let_440) _let_918 _let_917 _let_782 _let_760) _let_1029 _let_779 _let_731) _let_444 :args _let_440) _let_733 _let_826 _let_1028 _let_743) :args _let_440) _let_918 _let_917 _let_782 _let_760))) (let ((_let_1116 (CONG _let_444 (TRANS (CONG (TRANS _let_1115 (SYMM _let_1111)) _let_887 :args _let_440) (CONG (TRANS _let_1111 (SYMM _let_1031)) _let_887 :args _let_440) (CONG _let_1031 _let_887 :args _let_440)) :args _let_440))) (let ((_let_1117 (CONG _let_1116 _let_1027 :args _let_440))) (let ((_let_1118 (CONG _let_1117 _let_444 :args _let_440))) (let ((_let_1119 (SYMM _let_1108))) (let ((_let_1120 (ASSUME :args (_let_262)))) (let ((_let_1121 (CONG _let_1102 (REFL :args (_let_261)) :args _let_440))) (let ((_let_1122 (SYMM _let_1117))) (let ((_let_1123 (ASSUME :args (_let_406)))) (let ((_let_1124 (CONG (TRANS _let_1102 (SYMM _let_921) _let_856 _let_923) (TRANS (SYMM (SYMM _let_1123)) (CONG _let_1122 (TRANS (CONG (TRANS (CONG (TRANS (TRANS (CONG _let_698 (CONG (TRANS _let_1026 _let_1023 _let_1015) (TRANS _let_1121 (SYMM _let_1120)) :args _let_440) :args _let_440) _let_918 _let_917 _let_782 _let_760) _let_1029 _let_779) (TRANS _let_799 _let_796 _let_750 _let_696 _let_742 _let_828 _let_827 _let_732 _let_1119) :args _let_440) _let_778) _let_444 :args _let_440) _let_455 _let_490 _let_489 _let_480 _let_443) :args _let_440) _let_1118 _let_1026 _let_1023 _let_1015) :args _let_440))) (let ((_let_1125 (SYMM _let_1121))) (let ((_let_1126 (TRANS _let_960 _let_957 _let_884 _let_1120 _let_1125 _let_1124 _let_1013 _let_925))) (let ((_let_1127 (TRANS _let_987 (SYMM _let_1010)))) (let ((_let_1128 (CONG _let_1127 _let_1126 :args _let_440))) (let ((_let_1129 (TRANS _let_865 _let_1128 _let_1012))) (let ((_let_1130 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((_let_1136 (TRANS _let_983 _let_962 _let_882))) (let ((_let_1137 (ASSUME :args (_let_400)))) (let ((_let_1138 (SYMM _let_987))) (let ((_let_1139 (TRANS (SYMM _let_984) _let_1138 _let_950))) (let ((_let_1140 (TRANS (CONG _let_930 (TRANS (CONG _let_1139 (TRANS (SYMM _let_1137) _let_604 (SYMM _let_729)) :args _let_440) _let_982) :args _let_440) _let_985))) (let ((_let_1141 (REFL :args (tptp.a3)))) (let ((_let_1142 (SYMM _let_860))) (let ((_let_1143 (SYMM _let_651))) (let ((_let_1144 (TRANS _let_527 _let_687))) (let ((_let_1145 (TRANS _let_932 _let_949 _let_946))) (let ((_let_1146 (TRANS (CONG _let_444 (TRANS (CONG (TRANS _let_1145 _let_945) (TRANS _let_860 _let_926 _let_885 _let_914 _let_906) :args _let_440) _let_913) :args _let_440) _let_455 _let_490 _let_489 _let_480 _let_443))) (let ((_let_1147 (CONG (TRANS _let_1146 _let_929 _let_928) (SYMM _let_1126) :args _let_440))) (let ((_let_1148 (ASSUME :args (_let_342)))) (let ((_let_1149 (ASSUME :args (_let_318)))) (let ((_let_1150 (ASSUME 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(_let_209)) (TRANS _let_1014 (SYMM _let_1023) _let_1025 (SYMM _let_1118) (CONG (CONG (TRANS (TRANS _let_1162 _let_918 _let_917 _let_782 _let_760) (TRANS _let_759 _let_784 _let_823 _let_821 (CONG _let_694 (TRANS _let_695 (SYMM _let_750) (SYMM _let_796) _let_798 _let_774 _let_771 (CONG (TRANS _let_768 (TRANS _let_575 _let_593 _let_571 _let_559 _let_570 (CONG (SYMM _let_832) _let_522 :args _let_440))) (TRANS _let_683 _let_659 _let_656 _let_653 _let_599 _let_553 (SYMM (SYMM _let_1161)) (CONG (TRANS _let_1160 (SYMM _let_1140)) (TRANS (CONG (CONG (TRANS (TRANS (CONG _let_671 (TRANS (CONG (TRANS (TRANS (CONG (TRANS _let_1160 _let_1138 _let_950) _let_794 :args _let_440) _let_982 _let_932 _let_949 _let_946) _let_945 _let_911) (TRANS (CONG (TRANS _let_1144 _let_767 _let_658 _let_1143) (TRANS _let_829 _let_598 _let_800 _let_655) :args _let_440) _let_652 _let_648) :args _let_440) _let_910 _let_907 _let_904 _let_886 _let_986 _let_1142) :args _let_440) _let_839 _let_883 _let_963 _let_959 _let_932 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(CONG _let_444 (TRANS (CONG (SYMM _let_627) (SYMM _let_1172) :args _let_440) _let_455 _let_490 _let_489 _let_480 _let_443) :args _let_440) (SYMM _let_591) :args _let_440) _let_596 _let_595) _let_594 _let_562) _let_444 :args _let_440) :args _let_440))) (let ((_let_1174 (ASSUME :args (_let_295)))) (let ((_let_1175 (SYMM _let_1174))) (let ((_let_1176 (TRANS (CONG _let_503 (TRANS (CONG _let_902 (TRANS (SYMM _let_1175) _let_1173 _let_571 _let_559 _let_570) :args _let_440) _let_584 _let_569) :args _let_440) _let_596 _let_595))) (let ((_let_1177 (ASSUME :args (_let_303)))) (let ((_let_1178 (CONG (TRANS (TRANS (CONG _let_503 (CONG _let_615 (SYMM _let_1177) :args _let_440) :args _let_440) _let_596 _let_595) (SYMM _let_1176)) _let_1170 :args _let_440))) (let ((_let_1179 (ASSUME :args (_let_357)))) (let ((_let_1180 (ASSUME :args (_let_313)))) (let ((_let_1181 (SYMM _let_872))) (let ((_let_1182 (CONG _let_765 _let_1181 :args _let_440))) (let ((_let_1183 (ASSUME :args (_let_216)))) (let ((_let_1184 (ASSUME :args (_let_294)))) (let ((_let_1185 (ASSUME :args (_let_273)))) (let ((_let_1186 (SYMM _let_584))) (let ((_let_1187 (CONG (TRANS _let_1165 _let_990) (TRANS (CONG (CONG (TRANS _let_442 _let_481 _let_504 _let_463 _let_456 (CONG _let_444 (TRANS _let_585 (CONG (TRANS _let_563 _let_628 (TRANS _let_575 _let_593 (SYMM _let_1173) _let_1175)) (TRANS _let_568 _let_1186 (CONG _let_444 (CONG (TRANS _let_536 (TRANS _let_535 _let_568 _let_1186 (CONG (TRANS _let_442 _let_481 _let_504 _let_463 _let_456 (CONG _let_444 (TRANS _let_442 _let_481 _let_504 _let_463 _let_456 (CONG _let_503 (TRANS (SYMM (SYMM _let_1185)) (CONG _let_550 (REFL :args (_let_272)) :args _let_440)) :args _let_440)) :args _let_440)) (SYMM _let_722) :args _let_440))) _let_522 :args _let_440) :args _let_440) (SYMM _let_1184)) :args _let_440)) :args _let_440)) (CONG (TRANS _let_759 _let_784 _let_823 _let_821 (CONG _let_694 (TRANS (SYMM (SYMM _let_1183)) (CONG (TRANS _let_621 (TRANS _let_620 (CONG (TRANS _let_616 (SYMM 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(let ((_let_1199 (CONG _let_444 (TRANS (CONG (TRANS (TRANS (SYMM _let_1198) _let_1196 _let_687) _let_975) _let_969 :args _let_440) _let_836 _let_838 _let_847) :args _let_440))) (let ((_let_1200 (ASSUME :args (_let_290)))) (let ((_let_1201 (ASSUME :args (_let_266)))) (let ((_let_1202 (ASSUME :args (_let_410)))) (let ((_let_1203 (ASSUME :args (_let_405)))) (let ((_let_1204 (CONG _let_444 (TRANS _let_1187 (CONG (CONG (TRANS _let_964 (TRANS _let_944 _let_941 _let_933 _let_960 _let_957 _let_884 _let_838 (CONG (SYMM _let_671) (TRANS _let_860 _let_857 _let_854 (CONG (TRANS _let_745 (SYMM _let_929) _let_503) (TRANS _let_960 _let_957 _let_884 _let_837 _let_978 (CONG (TRANS _let_1130 (SYMM _let_1144)) _let_969 :args _let_440)) :args _let_440)) :args _let_440))) _let_1141 :args _let_440) _let_444 :args _let_440)) :args _let_440))) (let ((_let_1205 (ASSUME :args (_let_385)))) (let ((_let_1206 (REFL :args (_let_284)))) (let ((_let_1207 (TRANS _let_641 (CONG _let_444 (TRANS _let_829 _let_598 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(CONG (TRANS _let_1010 (SYMM _let_1236)) (REFL :args (_let_331)) :args _let_440))) (let ((_let_1238 (ASSUME :args (_let_423)))) (let ((_let_1239 (ASSUME :args (_let_388)))) (let ((_let_1240 (ASSUME :args (_let_402)))) (let ((_let_1241 (REFL :args (_let_348)))) (let ((_let_1242 (TRANS _let_442 _let_481 _let_504 _let_463 _let_456 (CONG _let_444 (TRANS _let_777 (CONG _let_1109 (TRANS _let_1108 _let_733 _let_826 _let_1028 _let_916 _let_915 (SYMM _let_1233) _let_1235) :args _let_440)) :args _let_440)))) (let ((_let_1243 (ASSUME :args (_let_391)))) (let ((_let_1244 (CONG (TRANS (TRANS (CONG _let_444 (TRANS (CONG _let_491 (SYMM _let_1243) :args _let_440) _let_455 _let_490 _let_489 _let_480 _let_443) :args _let_440) _let_455 _let_490 _let_489 _let_480 _let_443) _let_1242) _let_1241 :args _let_440))) (let ((_let_1245 (ASSUME :args (_let_398)))) (let ((_let_1246 (ASSUME :args (_let_407)))) (let ((_let_1247 (ASSUME :args (_let_421)))) (let ((_let_1248 (ASSUME :args (_let_420)))) (let ((_let_1249 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_let_540 :args _let_440))) _let_444 :args _let_440)) :args _let_440) (SYMM _let_1247) (CONG (CONG (TRANS (CONG _let_444 (TRANS (CONG (SYMM _let_1109) (TRANS (SYMM (SYMM _let_1246)) (CONG _let_444 (TRANS (CONG (TRANS (CONG (TRANS (TRANS (CONG _let_444 (TRANS (CONG _let_491 (SYMM _let_1245) :args _let_440) _let_455 _let_490 _let_489 _let_480 _let_443) :args _let_440) _let_455 _let_490 _let_489 _let_480 _let_443) _let_1242) _let_1241 :args _let_440) (SYMM _let_1244)) _let_444 :args _let_440) (CONG _let_1244 _let_444 :args _let_440) (SYMM (SYMM _let_1240)) (CONG _let_697 (TRANS (CONG (TRANS (TRANS (CONG (TRANS (TRANS (CONG _let_444 (TRANS (CONG _let_1113 (SYMM _let_1239) :args _let_440) _let_455 _let_490 _let_489 _let_480 _let_443) :args _let_440) _let_455 _let_490 _let_489 _let_480 _let_443) _let_698) _let_540 :args _let_440) _let_918 _let_917 _let_782 _let_760) _let_1029 _let_779 _let_731) _let_444 :args _let_440) _let_733 _let_826 _let_1028 _let_743) :args _let_440) _let_918 _let_917) :args _let_440) _let_783 _let_781 _let_828 _let_827 _let_732 _let_1119) :args _let_440) _let_778) :args _let_440) _let_455 _let_490 _let_489 _let_480 _let_443) (SYMM _let_1237) :args _let_440) _let_444 :args _let_440))) (TRANS _let_1108 (CONG (TRANS _let_716 _let_825 _let_824 (TRANS _let_759 _let_784 _let_823 _let_821 _let_700)) _let_444 :args _let_440)) :args _let_440)) :args _let_440)) (SYMM _let_919) :args _let_440)) _let_444 :args _let_440)) :args _let_440) (SYMM _let_1238)) :args _let_440) _let_910 _let_907 _let_904 _let_886 _let_986 _let_1142) :args _let_440) _let_839 _let_883 _let_963 _let_959 _let_932 _let_949 _let_946) (TRANS _let_944 _let_941 _let_933 _let_960 _let_957 _let_884 _let_1120 _let_1125 _let_1124 _let_1013 _let_925)) (TRANS (CONG _let_444 (TRANS _let_1237 (CONG (TRANS _let_1236 _let_1136) (TRANS _let_1122 _let_1227 _let_1225) :args _let_440) (CONG (TRANS (SYMM _let_1136) _let_1138) _let_1223 :args _let_440) (SYMM _let_1222) _let_1221 _let_1162 _let_918 _let_917) :args _let_440) _let_783 _let_781 _let_828 _let_827 _let_732 (CONG (TRANS _let_716 _let_825 _let_824 (TRANS _let_759 _let_784 _let_823 _let_821 (CONG (TRANS _let_694 (TRANS _let_442 _let_481 _let_504 _let_463 _let_456 (CONG _let_444 (TRANS _let_865 _let_1128 _let_1012 (SYMM _let_1020)) :args _let_440))) (SYMM _let_1019) :args _let_440) _let_1021) (SYMM _let_1021)) _let_444 :args _let_440) _let_1022) :args _let_440) _let_1015) (SYMM _let_1220)) _let_444 :args _let_440) (CONG _let_1220 _let_444 :args _let_440)) (TRANS _let_1026 _let_1023 _let_1015 (SYMM _let_1189) (CONG _let_1164 (REFL :args (_let_416)) :args _let_440)) :args _let_440)) :args _let_440)) (TRANS _let_1187 _let_966) :args _let_440))) _let_444 :args _let_440) :args _let_440) (SYMM _let_1167) _let_1166 _let_536) _let_535) _let_520 :args _let_440) _let_561 _let_560 _let_557 _let_492 _let_439) :args (_let_53 _let_38 _let_31 _let_37 _let_24 _let_29 _let_28 _let_22 _let_32 _let_40 _let_46 _let_44 _let_45 _let_39 _let_41 _let_33 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_let_288 _let_366 _let_299 _let_251 _let_326 _let_360 _let_262 _let_406 _let_415 _let_250 _let_400 _let_342 _let_318 _let_362 _let_347 _let_371 _let_414 _let_427 _let_417 _let_410 _let_403 _let_382 _let_292 _let_290 _let_266 _let_405 _let_376 _let_295 _let_270 _let_294 _let_273 _let_216 _let_373 _let_307 _let_303 _let_357 _let_313 _let_385 _let_314 _let_329 _let_394 _let_404 _let_90 _let_408 _let_411 _let_423 _let_388 _let_402 _let_372 _let_351 _let_359 _let_310 _let_391 _let_398 _let_407 _let_421 _let_420 _let_425 _let_426 _let_399))) :args (_let_14 _let_16 _let_22 _let_24 _let_28 _let_29 _let_31 _let_32 _let_33 _let_37 _let_38 _let_39 _let_40 _let_41 _let_44 _let_45 _let_46 _let_48 _let_53 _let_54 _let_59 _let_64 _let_68 _let_69 _let_73 _let_76 _let_79 _let_84 _let_88 _let_90 _let_91 _let_92 _let_95 _let_98 _let_102 _let_105 _let_108 _let_112 _let_117 _let_122 _let_123 _let_124 _let_125 _let_126 _let_127 _let_128 _let_129 _let_130 _let_131 _let_132 _let_133 _let_136 _let_140 _let_142 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_let_394 _let_398 _let_399 _let_400 _let_401 _let_402 _let_403 _let_404 _let_405 _let_406 _let_407 _let_408 _let_410 _let_411 _let_412 _let_414 _let_415 _let_417 _let_420 _let_421 _let_423 _let_425 _let_426 _let_427))) :args (true _let_437)) :args ((or _let_12 (not _let_14) (not _let_16) (not _let_22) (not _let_24) (not _let_28) (not _let_29) (not _let_31) (not _let_32) (not _let_33) (not _let_37) (not _let_38) (not _let_39) (not _let_40) (not _let_41) (not _let_44) (not _let_45) (not _let_46) (not _let_48) (not _let_53) (not _let_54) (not _let_59) (not _let_64) (not _let_68) (not _let_69) (not _let_73) (not _let_76) (not _let_79) (not _let_84) (not _let_88) (not _let_90) (not _let_91) (not _let_92) (not _let_95) (not _let_98) (not _let_102) (not _let_105) (not _let_108) (not _let_112) (not _let_117) (not _let_122) (not _let_123) (not _let_124) (not _let_125) (not _let_126) (not _let_127) (not _let_128) (not _let_129) (not _let_130) (not _let_131) (not _let_132) (not _let_133) (not 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_let_421) (not _let_423) (not _let_425) (not _let_426) (not _let_427)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (tptp.c3 _let_354 _let_416 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_427 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_330 _let_83 _let_424 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_426 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_219 _let_422 _let_330 QUANTIFIERS_INST_E_MATCHING _let_436)) :args _let_435)) _let_434 :args (_let_425 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_422 _let_80 tptp.identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_423 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_55 _let_6 _let_418 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (tptp.identity tptp.identity _let_384 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_411 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (tptp.identity _let_409 _let_11 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_410 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_283 _let_61 _let_62 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_408 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (tptp.identity _let_348 _let_396 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_407 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_331 _let_57 _let_261 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_406 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM 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QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)) _let_430 :args (_let_400 false _let_429)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_430 :args (_let_331 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)) _let_430 :args (_let_399 false _let_429)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_348 _let_331 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_436)) :args _let_435)) _let_434 :args (_let_398 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_61 _let_61 _let_327 QUANTIFIERS_INST_E_MATCHING _let_436)) :args _let_435)) _let_434 :args (_let_394 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_348 _let_390 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_436)) :args _let_435)) _let_434 :args (_let_391 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_82 _let_81 tptp.c3 QUANTIFIERS_INST_E_MATCHING _let_436)) :args _let_435)) _let_434 :args (_let_389 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_6 _let_348 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_436)) :args _let_435)) _let_434 :args (_let_388 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_383 _let_344 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_436)) :args _let_435)) _let_434 :args (_let_385 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_210 _let_10 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_436)) :args _let_435)) _let_434 :args (_let_382 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (tptp.b3 _let_167 _let_211 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_378 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_430 :args (_let_304 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_let_435)) _let_434 :args (_let_371 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_369 _let_217 _let_334 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_370 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (tptp.identity _let_159 _let_220 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_367 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_365 _let_168 _let_229 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_366 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_279 _let_152 _let_252 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_364 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (tptp.identity _let_167 _let_322 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_363 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (tptp.identity _let_167 _let_317 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_362 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (tptp.identity _let_167 _let_315 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_361 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_55 _let_6 _let_324 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_360 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_55 _let_6 _let_308 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_359 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_61 _let_279 _let_311 QUANTIFIERS_INST_CBQI_PROP)) :args _let_435)) _let_434 :args (_let_357 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_430 :args (_let_275 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)) _let_430 :args (_let_356 false _let_429)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_430 :args (_let_353 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)) _let_430 :args (_let_355 false _let_429)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_430 :args (_let_255 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_432)) :args _let_431)) _let_430 :args (_let_352 false _let_429)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_279 _let_233 _let_113 QUANTIFIERS_INST_E_MATCHING _let_436)) :args _let_435)) _let_434 :args (_let_351 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_279 _let_343 _let_168 QUANTIFIERS_INST_E_MATCHING _let_436)) :args _let_435)) _let_434 :args (_let_347 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args 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_let_434 :args (_let_279 _let_267 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_436)) :args _let_435)) _let_434 :args (_let_313 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_6 _let_279 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_436)) :args _let_435)) _let_434 :args (_let_310 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_267 _let_271 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_436)) :args _let_435)) _let_434 :args (_let_307 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_267 _let_279 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_436)) :args _let_435)) _let_434 :args (_let_303 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_434 :args (_let_279 _let_279 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_436)) :args _let_435)) _let_434 :args (_let_302 false _let_433)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM 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(EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO _let_428 :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (false false _let_427 false _let_426 false _let_425 false _let_423 false _let_421 false _let_420 false _let_417 false _let_415 false _let_414 false _let_412 false _let_411 false _let_410 false _let_408 false _let_407 false _let_406 false _let_405 false _let_404 false _let_403 false _let_402 false _let_401 false _let_400 false _let_399 false _let_398 false _let_394 false _let_391 false _let_389 false _let_388 false _let_385 false _let_382 false _let_378 false _let_376 false _let_375 false _let_374 false _let_373 false _let_372 false _let_371 false _let_370 false _let_367 false _let_366 false _let_364 false _let_363 false _let_362 false _let_361 false _let_360 false _let_359 false _let_357 false _let_356 false _let_355 false _let_352 false _let_351 false _let_347 false _let_342 false _let_338 false _let_333 false _let_329 false _let_326 false _let_323 false _let_319 false 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% 104.42/104.59 )
% 104.42/104.60 % SZS output end Proof for GRP489-1
% 104.42/104.60 % cvc5---1.0.5 exiting
% 104.42/104.60 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------