TSTP Solution File: GRP103-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP103-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 00:24:21 EDT 2023

% Result   : Unsatisfiable 101.05s 101.77s
% Output   : Proof 101.05s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : GRP103-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.06/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n024.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 02:17:08 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.8OhEttcLWM/cvc5---1.0.5_2383.p...
% 0.21/0.51  ------- get file name : TPTP file name is GRP103-1
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2383.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.75/10.94  --- Run --no-e-matching --full-saturate-quant at 5...
% 15.73/15.98  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.81/21.01  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.79/26.07  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.93/31.17  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 36.00/36.19  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 41.11/41.29  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.17/46.40  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.26/51.51  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.24/56.66  --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.37/61.76  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.43/66.90  --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.57/77.13  --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 86.67/87.32  --- Run --no-cbqi --full-saturate-quant at 10...
% 97.06/97.74  --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 101.05/101.77  % SZS status Unsatisfiable for GRP103-1
% 101.05/101.77  % SZS output start Proof for GRP103-1
% 101.05/101.82  (
% 101.05/101.82  (let ((_let_1 (not (= (tptp.multiply tptp.a4 tptp.b4) (tptp.multiply tptp.b4 tptp.a4))))) (let ((_let_2 (not (= (tptp.multiply (tptp.multiply tptp.a3 tptp.b3) tptp.c3) (tptp.multiply tptp.a3 (tptp.multiply tptp.b3 tptp.c3)))))) (let ((_let_3 (tptp.multiply tptp.identity tptp.a2))) (let ((_let_4 (tptp.multiply (tptp.inverse tptp.a1) tptp.a1))) (let ((_let_5 (or (not (= _let_4 tptp.identity)) (not (= _let_3 tptp.a2)) _let_2 _let_1))) (let ((_let_6 (forall ((X $$unsorted)) (= tptp.identity (tptp.double_divide X (tptp.inverse X)))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.inverse X) (tptp.double_divide X tptp.identity))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X Y) (tptp.double_divide (tptp.double_divide Y X) tptp.identity))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.double_divide (tptp.double_divide X (tptp.double_divide (tptp.double_divide tptp.identity Y) (tptp.double_divide Z (tptp.double_divide Y X)))) (tptp.double_divide tptp.identity tptp.identity)) Z)))) (let ((_let_10 (tptp.double_divide tptp.a1 tptp.identity))) (let ((_let_11 (tptp.double_divide tptp.a1 _let_10))) (let ((_let_12 (= tptp.identity _let_11))) (let ((_let_13 (tptp.double_divide _let_11 tptp.identity))) (let ((_let_14 (tptp.double_divide _let_11 _let_13))) (let ((_let_15 (= tptp.identity _let_14))) (let ((_let_16 (tptp.double_divide tptp.b3 tptp.a3))) (let ((_let_17 (tptp.double_divide _let_16 tptp.identity))) (let ((_let_18 (tptp.double_divide _let_16 _let_17))) (let ((_let_19 (= tptp.identity _let_18))) (let ((_let_20 (tptp.double_divide tptp.identity tptp.identity))) (let ((_let_21 (tptp.double_divide tptp.identity tptp.a1))) (let ((_let_22 (tptp.double_divide _let_10 (tptp.double_divide _let_21 (tptp.double_divide _let_11 _let_11))))) (let ((_let_23 (tptp.double_divide _let_22 _let_20))) (let ((_let_24 (= _let_11 _let_23))) (let ((_let_25 (tptp.double_divide _let_10 (tptp.double_divide _let_21 (tptp.double_divide _let_16 _let_11))))) (let ((_let_26 (= _let_16 (tptp.double_divide _let_25 _let_20)))) (let ((_let_27 (tptp.double_divide tptp.a4 tptp.b4))) (let ((_let_28 (tptp.double_divide _let_27 _let_11))) (let ((_let_29 (tptp.double_divide _let_21 _let_28))) (let ((_let_30 (tptp.double_divide _let_10 _let_29))) (let ((_let_31 (= _let_27 (tptp.double_divide _let_30 _let_20)))) (let ((_let_32 (tptp.double_divide tptp.b4 tptp.a4))) (let ((_let_33 (tptp.double_divide _let_32 _let_11))) (let ((_let_34 (tptp.double_divide _let_21 _let_33))) (let ((_let_35 (tptp.double_divide _let_10 _let_34))) (let ((_let_36 (= _let_32 (tptp.double_divide _let_35 _let_20)))) (let ((_let_37 (tptp.double_divide tptp.identity _let_22))) (let ((_let_38 (tptp.double_divide _let_20 (tptp.double_divide _let_37 (tptp.double_divide _let_11 _let_23))))) (let ((_let_39 (tptp.double_divide _let_38 _let_20))) (let ((_let_40 (= _let_11 _let_39))) (let ((_let_41 (tptp.double_divide _let_16 _let_23))) (let ((_let_42 (tptp.double_divide _let_37 _let_41))) (let ((_let_43 (tptp.double_divide _let_20 _let_42))) (let ((_let_44 (tptp.double_divide _let_43 _let_20))) (let ((_let_45 (= _let_16 _let_44))) (let ((_let_46 (tptp.double_divide _let_27 _let_23))) (let ((_let_47 (tptp.double_divide _let_37 _let_46))) (let ((_let_48 (tptp.double_divide _let_20 _let_47))) (let ((_let_49 (tptp.double_divide _let_48 _let_20))) (let ((_let_50 (= _let_27 _let_49))) (let ((_let_51 (tptp.double_divide _let_32 _let_23))) (let ((_let_52 (tptp.double_divide _let_37 _let_51))) (let ((_let_53 (tptp.double_divide _let_20 _let_52))) (let ((_let_54 (tptp.double_divide _let_53 _let_20))) (let ((_let_55 (= _let_32 _let_54))) (let ((_let_56 (tptp.double_divide tptp.identity _let_11))) (let ((_let_57 (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_35 _let_13))))) (let ((_let_58 (= _let_35 (tptp.double_divide _let_57 _let_20)))) (let ((_let_59 (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_30 _let_13))))) (let ((_let_60 (= _let_30 (tptp.double_divide _let_59 _let_20)))) (let ((_let_61 (tptp.double_divide tptp.c3 _let_17))) (let ((_let_62 (tptp.double_divide tptp.identity _let_16))) (let ((_let_63 (tptp.double_divide _let_62 _let_61))) (let ((_let_64 (tptp.double_divide tptp.identity tptp.c3))) (let ((_let_65 (tptp.double_divide _let_64 _let_63))) (let ((_let_66 (tptp.double_divide _let_17 _let_65))) (let ((_let_67 (tptp.double_divide _let_66 _let_20))) (let ((_let_68 (= _let_62 _let_67))) (let ((_let_69 (tptp.double_divide tptp.identity _let_63))) (let ((_let_70 (tptp.double_divide tptp.identity _let_62))) (let ((_let_71 (tptp.double_divide _let_70 _let_69))) (let ((_let_72 (tptp.double_divide _let_61 _let_71))) (let ((_let_73 (tptp.double_divide _let_72 _let_20))) (let ((_let_74 (= tptp.identity _let_73))) (let ((_let_75 (tptp.double_divide _let_56 (tptp.double_divide _let_25 _let_13)))) (let ((_let_76 (tptp.double_divide tptp.identity _let_75))) (let ((_let_77 (= _let_25 (tptp.double_divide _let_76 _let_20)))) (let ((_let_78 (= _let_22 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_22 _let_13))) _let_20)))) (let ((_let_79 (tptp.double_divide _let_27 tptp.identity))) (let ((_let_80 (tptp.double_divide tptp.identity _let_27))) (let ((_let_81 (= _let_27 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_80 (tptp.double_divide _let_27 _let_79))) _let_20)))) (let ((_let_82 (tptp.double_divide _let_32 tptp.identity))) (let ((_let_83 (tptp.double_divide tptp.identity _let_32))) (let ((_let_84 (= _let_32 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_83 (tptp.double_divide _let_32 _let_82))) _let_20)))) (let ((_let_85 (tptp.double_divide tptp.identity (tptp.double_divide _let_62 _let_18)))) (let ((_let_86 (tptp.double_divide _let_85 _let_20))) (let ((_let_87 (= _let_16 _let_86))) (let ((_let_88 (= _let_11 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_56 _let_14)) _let_20)))) (let ((_let_89 (= _let_38 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_39)) _let_20)))) (let ((_let_90 (= _let_72 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_73)) _let_20)))) (let ((_let_91 (= _let_43 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_44)) _let_20)))) (let ((_let_92 (= _let_85 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_86)) _let_20)))) (let ((_let_93 (= _let_48 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_49)) _let_20)))) (let ((_let_94 (= _let_53 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_54)) _let_20)))) (let ((_let_95 (= _let_20 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 (tptp.double_divide _let_20 _let_20))) _let_20)))) (let ((_let_96 (= tptp.identity (tptp.double_divide _let_30 (tptp.double_divide _let_30 tptp.identity))))) (let ((_let_97 (= tptp.identity (tptp.double_divide _let_35 (tptp.double_divide _let_35 tptp.identity))))) (let ((_let_98 (tptp.double_divide tptp.identity _let_61))) (let ((_let_99 (= _let_35 (tptp.double_divide (tptp.double_divide _let_71 (tptp.double_divide _let_98 (tptp.double_divide _let_35 _let_72))) _let_20)))) (let ((_let_100 (= _let_30 (tptp.double_divide (tptp.double_divide _let_71 (tptp.double_divide _let_98 (tptp.double_divide _let_30 _let_72))) _let_20)))) (let ((_let_101 (= _let_25 (tptp.double_divide (tptp.double_divide _let_71 (tptp.double_divide _let_98 (tptp.double_divide _let_25 _let_72))) _let_20)))) (let ((_let_102 (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_62 _let_13))))) (let ((_let_103 (tptp.double_divide _let_102 _let_20))) (let ((_let_104 (= _let_62 _let_103))) (let ((_let_105 (tptp.double_divide tptp.identity tptp.b4))) (let ((_let_106 (tptp.double_divide tptp.a4 (tptp.double_divide _let_105 _let_83)))) (let ((_let_107 (= tptp.identity (tptp.double_divide _let_106 _let_20)))) (let ((_let_108 (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_76 _let_13))))) (let ((_let_109 (= _let_76 (tptp.double_divide _let_108 _let_20)))) (let ((_let_110 (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_66 _let_13))))) (let ((_let_111 (tptp.double_divide _let_110 _let_20))) (let ((_let_112 (= _let_66 _let_111))) (let ((_let_113 (= _let_59 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_59 _let_13))) _let_20)))) (let ((_let_114 (= _let_57 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_57 _let_13))) _let_20)))) (let ((_let_115 (tptp.double_divide _let_37 _let_82))) (let ((_let_116 (tptp.double_divide tptp.identity (tptp.double_divide _let_83 _let_115)))) (let ((_let_117 (= _let_37 (tptp.double_divide _let_116 _let_20)))) (let ((_let_118 (tptp.double_divide _let_37 _let_79))) (let ((_let_119 (tptp.double_divide tptp.identity (tptp.double_divide _let_80 _let_118)))) (let ((_let_120 (= _let_37 (tptp.double_divide _let_119 _let_20)))) (let ((_let_121 (= _let_106 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_106 _let_56))) _let_20)))) (let ((_let_122 (= _let_116 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_116 _let_56))) _let_20)))) (let ((_let_123 (= _let_119 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_119 _let_56))) _let_20)))) (let ((_let_124 (= _let_102 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_103)) _let_20)))) (let ((_let_125 (= tptp.identity (tptp.double_divide _let_108 (tptp.double_divide _let_108 tptp.identity))))) (let ((_let_126 (tptp.double_divide tptp.identity _let_37))) (let ((_let_127 (= _let_80 (tptp.double_divide (tptp.double_divide _let_46 (tptp.double_divide _let_126 (tptp.double_divide _let_80 _let_47))) _let_20)))) (let ((_let_128 (tptp.double_divide _let_118 (tptp.double_divide (tptp.double_divide tptp.identity _let_80) _let_119)))) (let ((_let_129 (= tptp.identity (tptp.double_divide _let_128 _let_20)))) (let ((_let_130 (= _let_83 (tptp.double_divide (tptp.double_divide _let_51 (tptp.double_divide _let_126 (tptp.double_divide _let_83 _let_52))) _let_20)))) (let ((_let_131 (tptp.double_divide tptp.identity _let_83))) (let ((_let_132 (tptp.double_divide _let_115 (tptp.double_divide _let_131 _let_116)))) (let ((_let_133 (= tptp.identity (tptp.double_divide _let_132 _let_20)))) (let ((_let_134 (tptp.double_divide _let_83 _let_34))) (let ((_let_135 (tptp.double_divide tptp.identity _let_21))) (let ((_let_136 (tptp.double_divide tptp.identity _let_135))) (let ((_let_137 (tptp.double_divide _let_134 (tptp.double_divide _let_136 (tptp.double_divide _let_33 (tptp.double_divide _let_135 _let_134)))))) (let ((_let_138 (= _let_33 (tptp.double_divide _let_137 _let_20)))) (let ((_let_139 (tptp.double_divide _let_80 _let_29))) (let ((_let_140 (tptp.double_divide _let_139 (tptp.double_divide _let_136 (tptp.double_divide _let_28 (tptp.double_divide _let_135 _let_139)))))) (let ((_let_141 (= _let_28 (tptp.double_divide _let_140 _let_20)))) (let ((_let_142 (tptp.double_divide tptp.identity tptp.a4))) (let ((_let_143 (tptp.double_divide tptp.identity _let_142))) (let ((_let_144 (= tptp.b4 (tptp.double_divide (tptp.double_divide _let_80 (tptp.double_divide _let_143 (tptp.double_divide tptp.b4 (tptp.double_divide _let_142 _let_80)))) _let_20)))) (let ((_let_145 (tptp.double_divide _let_83 (tptp.double_divide (tptp.double_divide tptp.identity _let_105) _let_106)))) (let ((_let_146 (tptp.double_divide _let_145 _let_20))) (let ((_let_147 (= tptp.a4 _let_146))) (let ((_let_148 (tptp.double_divide tptp.b4 (tptp.double_divide _let_142 (tptp.double_divide _let_30 _let_27))))) (let ((_let_149 (tptp.double_divide _let_148 _let_20))) (let ((_let_150 (= _let_30 _let_149))) (let ((_let_151 (= _let_128 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_128 _let_56))) _let_20)))) (let ((_let_152 (= _let_132 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_132 _let_56))) _let_20)))) (let ((_let_153 (= _let_148 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_149)) _let_20)))) (let ((_let_154 (= _let_30 (tptp.double_divide (tptp.double_divide _let_30 (tptp.double_divide (tptp.double_divide tptp.identity _let_47) (tptp.double_divide _let_30 (tptp.double_divide _let_47 _let_30)))) _let_20)))) (let ((_let_155 (= _let_35 (tptp.double_divide (tptp.double_divide _let_35 (tptp.double_divide (tptp.double_divide tptp.identity _let_52) (tptp.double_divide _let_35 (tptp.double_divide _let_52 _let_35)))) _let_20)))) (let ((_let_156 (= _let_145 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_146)) _let_20)))) (let ((_let_157 (tptp.double_divide tptp.identity _let_145))) (let ((_let_158 (tptp.double_divide _let_20 (tptp.double_divide _let_157 (tptp.double_divide tptp.b4 _let_146))))) (let ((_let_159 (tptp.double_divide _let_158 _let_20))) (let ((_let_160 (= tptp.b4 _let_159))) (let ((_let_161 (tptp.double_divide _let_135 _let_30))) (let ((_let_162 (tptp.double_divide tptp.identity _let_10))) (let ((_let_163 (tptp.double_divide _let_161 (tptp.double_divide (tptp.double_divide tptp.identity _let_162) (tptp.double_divide _let_29 (tptp.double_divide _let_162 _let_161)))))) (let ((_let_164 (= _let_80 (tptp.double_divide (tptp.double_divide _let_20 (tptp.double_divide (tptp.double_divide tptp.identity _let_163) (tptp.double_divide _let_80 (tptp.double_divide _let_163 _let_20)))) _let_20)))) (let ((_let_165 (= tptp.identity (tptp.double_divide _let_142 (tptp.double_divide _let_142 tptp.identity))))) (let ((_let_166 (= tptp.identity (tptp.double_divide _let_143 (tptp.double_divide _let_143 tptp.identity))))) (let ((_let_167 (= _let_158 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_159)) _let_20)))) (let ((_let_168 (= _let_82 _let_79))) (let ((_let_169 (= _let_157 (tptp.double_divide (tptp.double_divide _let_83 (tptp.double_divide _let_20 (tptp.double_divide _let_157 _let_131))) _let_20)))) (let ((_let_170 (= _let_143 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_143 _let_56))) _let_20)))) (let ((_let_171 (= _let_143 (tptp.double_divide (tptp.double_divide _let_143 (tptp.double_divide _let_143 (tptp.double_divide _let_143 (tptp.double_divide _let_142 _let_143)))) _let_20)))) (let ((_let_172 (forall ((X $$unsorted)) (= tptp.identity (tptp.double_divide X (tptp.double_divide X tptp.identity)))))) (let ((_let_173 (AND_INTRO (TRUST_SUBS_EQ (ASSUME :args (_let_7)) :args ((= tptp.inverse (lambda ((BOUND_VARIABLE_655 $$unsorted)) (tptp.double_divide BOUND_VARIABLE_655 tptp.identity))))) (TRUST_SUBS_EQ (ASSUME :args (_let_8)) :args ((= tptp.multiply (lambda ((BOUND_VARIABLE_645 $$unsorted) (BOUND_VARIABLE_646 $$unsorted)) (tptp.double_divide (tptp.double_divide BOUND_VARIABLE_646 BOUND_VARIABLE_645) tptp.identity)))))))) (let ((_let_174 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO _let_173 :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_175 (_let_172))) (let ((_let_176 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (tptp.a1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_175)) _let_174 :args (_let_12 false _let_172)))) (let ((_let_177 ((tptp.double_divide X tptp.identity)))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_177)) :args _let_175)) _let_174 :args (_let_15 false _let_172)))) (let ((_let_179 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_177)) :args _let_175)) _let_174 :args (_let_19 false _let_172)))) (let ((_let_180 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= Z (tptp.double_divide (tptp.double_divide X (tptp.double_divide (tptp.double_divide tptp.identity Y) (tptp.double_divide Z (tptp.double_divide Y X)))) (tptp.double_divide tptp.identity tptp.identity)))))) (let ((_let_181 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_182 (_let_180))) (let ((_let_183 ((tptp.double_divide Z (tptp.double_divide Y X))))) (let ((_let_184 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_10 tptp.a1 _let_11 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_24 false _let_180)))) (let ((_let_185 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_10 tptp.a1 _let_16 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_26 false _let_180)))) (let ((_let_186 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_20 _let_22 _let_11 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_40 false _let_180)))) (let ((_let_187 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_20 _let_22 _let_16 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_45 false _let_180)))) (let ((_let_188 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_17 tptp.c3 _let_62 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_68 false _let_180)))) (let ((_let_189 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_61 _let_62 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_74 false _let_180)))) (let ((_let_190 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity _let_11 _let_25 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_77 false _let_180)))) (let ((_let_191 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity _let_11 _let_22 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_78 false _let_180)))) (let ((_let_192 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity _let_16 _let_16 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_87 false _let_180)))) (let ((_let_193 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity _let_11 _let_11 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_88 false _let_180)))) (let ((_let_194 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity tptp.identity _let_38 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_181 :args (_let_89 false _let_180)))) (let ((_let_195 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity tptp.identity _let_72 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_181 :args (_let_90 false _let_180)))) (let ((_let_196 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity tptp.identity _let_43 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_181 :args (_let_91 false _let_180)))) (let ((_let_197 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity tptp.identity _let_85 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_181 :args (_let_92 false _let_180)))) (let ((_let_198 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity tptp.identity _let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_181 :args (_let_95 false _let_180)))) (let ((_let_199 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_71 _let_61 _let_25 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_101 false _let_180)))) (let ((_let_200 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity _let_11 _let_62 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_104 false _let_180)))) (let ((_let_201 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity _let_11 _let_76 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_109 false _let_180)))) (let ((_let_202 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity _let_11 _let_66 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_112 false _let_180)))) (let ((_let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity tptp.identity _let_102 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_181 :args (_let_124 false _let_180)))) (let ((_let_204 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_108 QUANTIFIERS_INST_CBQI_PROP)) :args _let_175)) _let_174 :args (_let_125 false _let_172)))) (let ((_let_205 (tptp.double_divide tptp.c3 tptp.b3))) (let ((_let_206 (tptp.double_divide _let_205 tptp.identity))) (let ((_let_207 (tptp.double_divide _let_206 tptp.a3))) (let ((_let_208 (tptp.double_divide _let_207 tptp.identity))) (let ((_let_209 (tptp.double_divide _let_61 tptp.identity))) (let ((_let_210 (= _let_209 _let_208))) (let ((_let_211 (tptp.double_divide tptp.a2 tptp.identity))) (let ((_let_212 (tptp.double_divide _let_211 tptp.identity))) (let ((_let_213 (= tptp.a2 _let_212))) (let ((_let_214 (= tptp.identity _let_13))) (let ((_let_215 (tptp.double_divide tptp.identity _let_207))) (let ((_let_216 (tptp.double_divide tptp.identity tptp.b3))) (let ((_let_217 (= _let_215 (tptp.double_divide (tptp.double_divide tptp.c3 (tptp.double_divide _let_216 (tptp.double_divide _let_215 (tptp.double_divide tptp.b3 tptp.c3)))) _let_20)))) (let ((_let_218 (tptp.double_divide tptp.identity _let_67))) (let ((_let_219 (tptp.double_divide tptp.identity _let_66))) (let ((_let_220 (tptp.double_divide _let_219 _let_218))) (let ((_let_221 (tptp.double_divide tptp.identity _let_216))) (let ((_let_222 (tptp.double_divide _let_221 _let_220))) (let ((_let_223 (tptp.double_divide tptp.identity _let_219))) (let ((_let_224 (tptp.double_divide _let_218 (tptp.double_divide _let_223 _let_222)))) (let ((_let_225 (tptp.double_divide tptp.identity _let_223))) (let ((_let_226 (tptp.double_divide _let_222 (tptp.double_divide _let_225 _let_224)))) (let ((_let_227 (tptp.double_divide _let_226 _let_20))) (let ((_let_228 (= _let_226 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_227)) _let_20)))) (let ((_let_229 (tptp.double_divide _let_216 _let_62))) (let ((_let_230 (tptp.double_divide tptp.a3 _let_229))) (let ((_let_231 (tptp.double_divide _let_62 (tptp.double_divide _let_221 _let_230)))) (let ((_let_232 (tptp.double_divide _let_218 (tptp.double_divide _let_223 (tptp.double_divide _let_231 _let_220))))) (let ((_let_233 (tptp.double_divide _let_216 _let_67))) (let ((_let_234 (tptp.double_divide _let_219 _let_233))) (let ((_let_235 (tptp.double_divide _let_20 _let_234))) (let ((_let_236 (tptp.double_divide _let_235 (tptp.double_divide _let_225 (tptp.double_divide _let_233 (tptp.double_divide _let_223 _let_235)))))) (let ((_let_237 (tptp.double_divide tptp.identity _let_231))) (let ((_let_238 (= _let_236 (tptp.double_divide (tptp.double_divide _let_232 (tptp.double_divide _let_237 (tptp.double_divide _let_236 (tptp.double_divide _let_231 _let_232)))) _let_20)))) (let ((_let_239 (tptp.double_divide _let_221 (tptp.double_divide _let_219 _let_229)))) (let ((_let_240 (= _let_239 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_239 _let_56))) _let_20)))) (let ((_let_241 (tptp.double_divide _let_69 _let_13))) (let ((_let_242 (tptp.double_divide _let_56 _let_241))) (let ((_let_243 (tptp.double_divide tptp.identity _let_242))) (let ((_let_244 (= tptp.a3 (tptp.double_divide (tptp.double_divide _let_241 (tptp.double_divide _let_243 (tptp.double_divide tptp.a3 (tptp.double_divide _let_242 _let_241)))) _let_20)))) (let ((_let_245 (tptp.double_divide _let_205 _let_11))) (let ((_let_246 (tptp.double_divide _let_21 _let_245))) (let ((_let_247 (tptp.double_divide tptp.identity _let_205))) (let ((_let_248 (tptp.double_divide _let_245 (tptp.double_divide _let_135 (tptp.double_divide _let_247 _let_246))))) (let ((_let_249 (tptp.double_divide _let_248 _let_20))) (let ((_let_250 (tptp.double_divide (tptp.double_divide tptp.identity _let_248) (tptp.double_divide _let_64 _let_249)))) (let ((_let_251 (tptp.double_divide _let_20 _let_250))) (let ((_let_252 (tptp.double_divide tptp.identity _let_20))) (let ((_let_253 (tptp.double_divide _let_250 (tptp.double_divide _let_252 (tptp.double_divide tptp.identity _let_251))))) (let ((_let_254 (= _let_253 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_253 _let_56))) _let_20)))) (let ((_let_255 (tptp.double_divide _let_62 _let_239))) (let ((_let_256 (tptp.double_divide _let_239 (tptp.double_divide _let_70 (tptp.double_divide tptp.identity _let_255))))) (let ((_let_257 (= _let_256 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_256 _let_56))) _let_20)))) (let ((_let_258 (= _let_235 (tptp.double_divide (tptp.double_divide tptp.b3 (tptp.double_divide _let_20 (tptp.double_divide _let_235 _let_216))) _let_20)))) (let ((_let_259 (tptp.double_divide tptp.b3 (tptp.double_divide _let_64 _let_247)))) (let ((_let_260 (tptp.double_divide tptp.identity _let_64))) (let ((_let_261 (tptp.double_divide _let_260 _let_259))) (let ((_let_262 (tptp.double_divide _let_247 _let_261))) (let ((_let_263 (tptp.double_divide tptp.identity _let_247))) (let ((_let_264 (= _let_221 (tptp.double_divide (tptp.double_divide _let_261 (tptp.double_divide _let_263 (tptp.double_divide _let_221 _let_262))) _let_20)))) (let ((_let_265 (= _let_231 (tptp.double_divide (tptp.double_divide _let_231 (tptp.double_divide _let_20 (tptp.double_divide _let_231 _let_237))) _let_20)))) (let ((_let_266 (= _let_224 (tptp.double_divide (tptp.double_divide _let_63 (tptp.double_divide _let_260 (tptp.double_divide _let_224 _let_65))) _let_20)))) (let ((_let_267 (= _let_218 _let_227))) (let ((_let_268 (= _let_232 (tptp.double_divide (tptp.double_divide _let_63 (tptp.double_divide _let_260 (tptp.double_divide _let_232 _let_65))) _let_20)))) (let ((_let_269 (= _let_221 (tptp.double_divide (tptp.double_divide _let_233 (tptp.double_divide _let_223 (tptp.double_divide _let_221 _let_234))) _let_20)))) (let ((_let_270 (= _let_233 (tptp.double_divide _let_236 _let_20)))) (let ((_let_271 (= _let_262 (tptp.double_divide (tptp.double_divide _let_63 (tptp.double_divide _let_260 (tptp.double_divide _let_262 _let_65))) _let_20)))) (let ((_let_272 (= tptp.identity (tptp.double_divide _let_253 _let_20)))) (let ((_let_273 (= tptp.identity (tptp.double_divide _let_256 _let_20)))) (let ((_let_274 (= tptp.b3 (tptp.double_divide (tptp.double_divide _let_231 (tptp.double_divide _let_20 (tptp.double_divide tptp.b3 _let_237))) _let_20)))) (let ((_let_275 (tptp.double_divide _let_262 _let_20))) (let ((_let_276 (= _let_262 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_275)) _let_20)))) (let ((_let_277 (tptp.double_divide _let_231 _let_20))) (let ((_let_278 (tptp.double_divide _let_20 (tptp.double_divide _let_237 (tptp.double_divide tptp.b3 _let_277))))) (let ((_let_279 (tptp.double_divide _let_278 _let_20))) (let ((_let_280 (= _let_278 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_279)) _let_20)))) (let ((_let_281 (tptp.double_divide tptp.identity _let_206))) (let ((_let_282 (tptp.double_divide tptp.a3 (tptp.double_divide _let_281 _let_215)))) (let ((_let_283 (tptp.double_divide _let_215 (tptp.double_divide (tptp.double_divide tptp.identity _let_281) _let_282)))) (let ((_let_284 (= _let_283 (tptp.double_divide (tptp.double_divide _let_218 (tptp.double_divide _let_76 (tptp.double_divide _let_283 (tptp.double_divide _let_75 _let_218)))) _let_20)))) (let ((_let_285 (tptp.double_divide _let_255 _let_20))) (let ((_let_286 (= _let_255 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_285)) _let_20)))) (let ((_let_287 (tptp.double_divide _let_251 _let_20))) (let ((_let_288 (= _let_251 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_287)) _let_20)))) (let ((_let_289 (tptp.double_divide tptp.identity _let_215))) (let ((_let_290 (= _let_237 (tptp.double_divide (tptp.double_divide _let_215 (tptp.double_divide _let_20 (tptp.double_divide _let_237 _let_289))) _let_20)))) (let ((_let_291 (= _let_243 (tptp.double_divide (tptp.double_divide _let_243 (tptp.double_divide _let_243 (tptp.double_divide _let_243 (tptp.double_divide _let_242 _let_243)))) _let_20)))) (let ((_let_292 (= _let_241 (tptp.double_divide (tptp.double_divide _let_218 (tptp.double_divide _let_223 (tptp.double_divide _let_241 _let_220))) _let_20)))) (let ((_let_293 (= _let_25 (tptp.double_divide (tptp.double_divide _let_25 (tptp.double_divide (tptp.double_divide tptp.identity _let_42) (tptp.double_divide _let_25 (tptp.double_divide _let_42 _let_25)))) _let_20)))) (let ((_let_294 (tptp.double_divide _let_207 _let_11))) (let ((_let_295 (tptp.double_divide _let_21 _let_294))) (let ((_let_296 (tptp.double_divide _let_10 _let_295))) (let ((_let_297 (tptp.double_divide _let_207 _let_23))) (let ((_let_298 (tptp.double_divide _let_37 _let_297))) (let ((_let_299 (= _let_296 (tptp.double_divide (tptp.double_divide _let_296 (tptp.double_divide (tptp.double_divide tptp.identity _let_298) (tptp.double_divide _let_296 (tptp.double_divide _let_298 _let_296)))) _let_20)))) (let ((_let_300 (tptp.double_divide _let_10 _let_246))) (let ((_let_301 (tptp.double_divide _let_205 _let_206))) (let ((_let_302 (tptp.double_divide _let_247 _let_301))) (let ((_let_303 (tptp.double_divide tptp.identity _let_302))) (let ((_let_304 (= _let_300 (tptp.double_divide (tptp.double_divide _let_300 (tptp.double_divide _let_303 (tptp.double_divide _let_300 (tptp.double_divide _let_302 _let_300)))) _let_20)))) (let ((_let_305 (tptp.double_divide _let_37 _let_17))) (let ((_let_306 (= _let_305 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_305 _let_56))) _let_20)))) (let ((_let_307 (tptp.double_divide tptp.b3 (tptp.double_divide _let_64 (tptp.double_divide _let_300 _let_205))))) (let ((_let_308 (tptp.double_divide _let_307 _let_20))) (let ((_let_309 (= _let_307 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_308)) _let_20)))) (let ((_let_310 (tptp.double_divide _let_215 _let_295))) (let ((_let_311 (tptp.double_divide _let_294 (tptp.double_divide _let_135 _let_310)))) (let ((_let_312 (tptp.double_divide _let_20 (tptp.double_divide (tptp.double_divide tptp.identity _let_311) (tptp.double_divide _let_281 (tptp.double_divide _let_311 _let_20)))))) (let ((_let_313 (= _let_312 (tptp.double_divide (tptp.double_divide _let_126 (tptp.double_divide _let_20 (tptp.double_divide _let_312 (tptp.double_divide tptp.identity _let_126)))) _let_20)))) (let ((_let_314 (tptp.double_divide _let_20 (tptp.double_divide _let_237 (tptp.double_divide _let_206 _let_277))))) (let ((_let_315 (= _let_314 (tptp.double_divide (tptp.double_divide _let_20 (tptp.double_divide _let_20 (tptp.double_divide _let_314 _let_252))) _let_20)))) (let ((_let_316 (tptp.double_divide tptp.identity _let_110))) (let ((_let_317 (tptp.double_divide _let_20 (tptp.double_divide _let_316 (tptp.double_divide _let_41 _let_111))))) (let ((_let_318 (= _let_317 (tptp.double_divide (tptp.double_divide _let_20 (tptp.double_divide _let_20 (tptp.double_divide _let_317 _let_252))) _let_20)))) (let ((_let_319 (tptp.double_divide _let_69 _let_20))) (let ((_let_320 (tptp.double_divide _let_56 _let_319))) (let ((_let_321 (tptp.double_divide tptp.identity _let_69))) (let ((_let_322 (tptp.double_divide _let_20 (tptp.double_divide _let_321 _let_320)))) (let ((_let_323 (tptp.double_divide _let_320 (tptp.double_divide (tptp.double_divide tptp.identity _let_321) _let_322)))) (let ((_let_324 (= _let_323 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_323 _let_56))) _let_20)))) (let ((_let_325 (tptp.double_divide tptp.identity (tptp.double_divide _let_62 _let_305)))) (let ((_let_326 (tptp.double_divide _let_305 (tptp.double_divide _let_70 _let_325)))) (let ((_let_327 (= _let_326 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_326 _let_56))) _let_20)))) (let ((_let_328 (tptp.double_divide _let_37 _let_208))) (let ((_let_329 (tptp.double_divide tptp.identity (tptp.double_divide _let_215 _let_328)))) (let ((_let_330 (tptp.double_divide _let_328 (tptp.double_divide _let_289 _let_329)))) (let ((_let_331 (= _let_330 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_330 _let_56))) _let_20)))) (let ((_let_332 (tptp.double_divide _let_37 _let_206))) (let ((_let_333 (tptp.double_divide tptp.identity (tptp.double_divide _let_247 _let_332)))) (let ((_let_334 (tptp.double_divide _let_332 (tptp.double_divide _let_263 _let_333)))) (let ((_let_335 (= _let_334 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_334 _let_56))) _let_20)))) (let ((_let_336 (tptp.double_divide tptp.identity _let_70))) (let ((_let_337 (tptp.double_divide _let_69 (tptp.double_divide _let_336 (tptp.double_divide tptp.identity _let_71))))) (let ((_let_338 (= _let_337 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_337 _let_56))) _let_20)))) (let ((_let_339 (= _let_219 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_219 _let_56))) _let_20)))) (let ((_let_340 (tptp.double_divide _let_61 _let_11))) (let ((_let_341 (tptp.double_divide _let_21 _let_340))) (let ((_let_342 (tptp.double_divide _let_10 _let_341))) (let ((_let_343 (tptp.double_divide tptp.identity _let_342))) (let ((_let_344 (= _let_343 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_343 _let_56))) _let_20)))) (let ((_let_345 (= _let_110 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_110 _let_56))) _let_20)))) (let ((_let_346 (= _let_41 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_41 _let_56))) _let_20)))) (let ((_let_347 (= _let_300 _let_308))) (let ((_let_348 (= _let_342 (tptp.double_divide (tptp.double_divide _let_17 (tptp.double_divide _let_64 (tptp.double_divide _let_342 _let_61))) _let_20)))) (let ((_let_349 (tptp.double_divide tptp.identity _let_25))) (let ((_let_350 (= _let_349 (tptp.double_divide (tptp.double_divide _let_16 (tptp.double_divide _let_20 (tptp.double_divide _let_349 _let_62))) _let_20)))) (let ((_let_351 (= _let_64 (tptp.double_divide (tptp.double_divide _let_69 (tptp.double_divide _let_336 (tptp.double_divide _let_64 _let_71))) _let_20)))) (let ((_let_352 (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_98 _let_13))))) (let ((_let_353 (= _let_352 (tptp.double_divide (tptp.double_divide _let_218 (tptp.double_divide _let_223 (tptp.double_divide _let_352 _let_220))) _let_20)))) (let ((_let_354 (= tptp.b3 _let_275))) (let ((_let_355 (= _let_64 _let_287))) (let ((_let_356 (= tptp.a3 (tptp.double_divide _let_283 _let_20)))) (let ((_let_357 (= _let_281 (tptp.double_divide _let_312 _let_20)))) (let ((_let_358 (tptp.double_divide _let_310 (tptp.double_divide _let_136 _let_311)))) (let ((_let_359 (= _let_294 (tptp.double_divide _let_358 _let_20)))) (let ((_let_360 (= _let_20 (tptp.double_divide _let_323 _let_20)))) (let ((_let_361 (= _let_321 (tptp.double_divide (tptp.double_divide _let_241 (tptp.double_divide (tptp.double_divide tptp.identity _let_56) (tptp.double_divide _let_321 _let_242))) _let_20)))) (let ((_let_362 (tptp.double_divide _let_61 (tptp.double_divide _let_70 _let_65)))) (let ((_let_363 (= _let_362 (tptp.double_divide (tptp.double_divide _let_218 (tptp.double_divide _let_223 (tptp.double_divide _let_362 _let_220))) _let_20)))) (let ((_let_364 (tptp.double_divide _let_63 (tptp.double_divide _let_260 _let_66)))) (let ((_let_365 (= _let_63 (tptp.double_divide (tptp.double_divide _let_66 (tptp.double_divide (tptp.double_divide tptp.identity _let_260) _let_364)) _let_20)))) (let ((_let_366 (= _let_219 _let_285))) (let ((_let_367 (= _let_231 (tptp.double_divide _let_232 _let_20)))) (let ((_let_368 (= _let_221 (tptp.double_divide _let_224 _let_20)))) (let ((_let_369 (tptp.double_divide _let_340 (tptp.double_divide _let_135 (tptp.double_divide _let_98 _let_341))))) (let ((_let_370 (= _let_369 (tptp.double_divide (tptp.double_divide _let_218 (tptp.double_divide _let_223 (tptp.double_divide _let_369 _let_220))) _let_20)))) (let ((_let_371 (tptp.double_divide _let_61 _let_23))) (let ((_let_372 (tptp.double_divide _let_37 _let_371))) (let ((_let_373 (= _let_98 (tptp.double_divide (tptp.double_divide _let_371 (tptp.double_divide _let_126 (tptp.double_divide _let_98 _let_372))) _let_20)))) (let ((_let_374 (= tptp.identity (tptp.double_divide _let_326 _let_20)))) (let ((_let_375 (= _let_41 (tptp.double_divide _let_317 _let_20)))) (let ((_let_376 (= tptp.identity (tptp.double_divide _let_330 _let_20)))) (let ((_let_377 (= _let_215 (tptp.double_divide (tptp.double_divide _let_297 (tptp.double_divide _let_126 (tptp.double_divide _let_215 _let_298))) _let_20)))) (let ((_let_378 (= tptp.identity (tptp.double_divide _let_334 _let_20)))) (let ((_let_379 (tptp.double_divide _let_205 _let_23))) (let ((_let_380 (tptp.double_divide _let_37 _let_379))) (let ((_let_381 (= _let_247 (tptp.double_divide (tptp.double_divide _let_379 (tptp.double_divide _let_126 (tptp.double_divide _let_247 _let_380))) _let_20)))) (let ((_let_382 (= tptp.identity (tptp.double_divide _let_337 _let_20)))) (let ((_let_383 (tptp.double_divide _let_369 _let_20))) (let ((_let_384 (= _let_61 (tptp.double_divide (tptp.double_divide _let_20 (tptp.double_divide (tptp.double_divide tptp.identity _let_369) (tptp.double_divide _let_61 _let_383))) _let_20)))) (let ((_let_385 (= tptp.b3 _let_279))) (let ((_let_386 (= _let_206 (tptp.double_divide _let_314 _let_20)))) (let ((_let_387 (= tptp.identity (tptp.double_divide _let_352 (tptp.double_divide _let_352 tptp.identity))))) (let ((_let_388 (= tptp.identity (tptp.double_divide _let_231 (tptp.double_divide _let_231 tptp.identity))))) (let ((_let_389 (= tptp.identity (tptp.double_divide _let_221 (tptp.double_divide _let_221 tptp.identity))))) (let ((_let_390 (= tptp.identity (tptp.double_divide _let_235 (tptp.double_divide _let_235 tptp.identity))))) (let ((_let_391 (= tptp.identity (tptp.double_divide _let_110 (tptp.double_divide _let_110 tptp.identity))))) (let ((_let_392 (tptp.double_divide _let_56 (tptp.double_divide _let_342 _let_13)))) (let ((_let_393 (tptp.double_divide tptp.identity _let_392))) (let ((_let_394 (= _let_71 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_393 (tptp.double_divide _let_71 (tptp.double_divide _let_392 _let_11)))) _let_20)))) (let ((_let_395 (tptp.double_divide _let_69 (tptp.double_divide _let_336 _let_72)))) (let ((_let_396 (tptp.double_divide _let_395 _let_20))) (let ((_let_397 (= _let_395 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_396)) _let_20)))) (let ((_let_398 (tptp.double_divide _let_71 (tptp.double_divide _let_98 (tptp.double_divide _let_61 _let_72))))) (let ((_let_399 (tptp.double_divide _let_398 _let_20))) (let ((_let_400 (= _let_398 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_399)) _let_20)))) (let ((_let_401 (= _let_364 (tptp.double_divide (tptp.double_divide _let_20 (tptp.double_divide _let_20 (tptp.double_divide _let_364 _let_252))) _let_20)))) (let ((_let_402 (= _let_333 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_333 _let_56))) _let_20)))) (let ((_let_403 (= _let_329 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_329 _let_56))) _let_20)))) (let ((_let_404 (tptp.double_divide _let_41 (tptp.double_divide _let_126 _let_43)))) (let ((_let_405 (= _let_404 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_404 _let_56))) _let_20)))) (let ((_let_406 (= _let_325 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_325 _let_56))) _let_20)))) (let ((_let_407 (tptp.double_divide tptp.identity (tptp.double_divide _let_98 (tptp.double_divide _let_37 _let_209))))) (let ((_let_408 (= _let_407 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_407 _let_56))) _let_20)))) (let ((_let_409 (= _let_322 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_322 _let_56))) _let_20)))) (let ((_let_410 (= _let_282 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_282 _let_56))) _let_20)))) (let ((_let_411 (= _let_259 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_259 _let_56))) _let_20)))) (let ((_let_412 (tptp.double_divide _let_17 (tptp.double_divide _let_64 _let_98)))) (let ((_let_413 (= _let_412 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_412 _let_56))) _let_20)))) (let ((_let_414 (tptp.double_divide _let_71 (tptp.double_divide _let_98 (tptp.double_divide _let_11 _let_72))))) (let ((_let_415 (= _let_414 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_414 _let_56))) _let_20)))) (let ((_let_416 (= tptp.identity (tptp.double_divide _let_102 (tptp.double_divide _let_102 tptp.identity))))) (let ((_let_417 (tptp.double_divide _let_211 _let_23))) (let ((_let_418 (tptp.double_divide _let_20 (tptp.double_divide _let_37 _let_417)))) (let ((_let_419 (tptp.double_divide _let_417 (tptp.double_divide _let_126 _let_418)))) (let ((_let_420 (= _let_20 (tptp.double_divide _let_419 _let_20)))) (let ((_let_421 (= _let_37 (tptp.double_divide _let_333 _let_20)))) (let ((_let_422 (= _let_37 (tptp.double_divide _let_329 _let_20)))) (let ((_let_423 (= _let_20 (tptp.double_divide _let_404 _let_20)))) (let ((_let_424 (= _let_37 (tptp.double_divide _let_325 _let_20)))) (let ((_let_425 (= _let_37 (tptp.double_divide _let_407 _let_20)))) (let ((_let_426 (= _let_98 _let_383))) (let ((_let_427 (= _let_393 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_393 _let_13))) _let_20)))) (let ((_let_428 (= tptp.a3 _let_277))) (let ((_let_429 (= _let_216 (tptp.double_divide _let_235 _let_20)))) (let ((_let_430 (= _let_17 (tptp.double_divide _let_364 _let_20)))) (let ((_let_431 (= _let_64 (tptp.double_divide _let_362 _let_20)))) (let ((_let_432 (= _let_61 _let_396))) (let ((_let_433 (= _let_243 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_243 _let_13))) _let_20)))) (let ((_let_434 (= _let_56 (tptp.double_divide _let_322 _let_20)))) (let ((_let_435 (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_296 _let_13))))) (let ((_let_436 (= _let_435 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_435 _let_13))) _let_20)))) (let ((_let_437 (= _let_247 _let_249))) (let ((_let_438 (= tptp.identity (tptp.double_divide _let_282 _let_20)))) (let ((_let_439 (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_247 _let_13))))) (let ((_let_440 (= _let_247 (tptp.double_divide _let_439 _let_20)))) (let ((_let_441 (= tptp.identity (tptp.double_divide _let_259 _let_20)))) (let ((_let_442 (= _let_98 (tptp.double_divide _let_352 _let_20)))) (let ((_let_443 (= tptp.identity (tptp.double_divide _let_412 _let_20)))) (let ((_let_444 (= _let_300 (tptp.double_divide (tptp.double_divide _let_71 (tptp.double_divide _let_98 (tptp.double_divide _let_300 _let_72))) _let_20)))) (let ((_let_445 (= _let_296 (tptp.double_divide (tptp.double_divide _let_71 (tptp.double_divide _let_98 (tptp.double_divide _let_296 _let_72))) _let_20)))) (let ((_let_446 (= _let_69 (tptp.double_divide (tptp.double_divide _let_71 (tptp.double_divide _let_98 (tptp.double_divide _let_69 _let_72))) _let_20)))) (let ((_let_447 (= _let_342 (tptp.double_divide (tptp.double_divide _let_71 (tptp.double_divide _let_98 (tptp.double_divide _let_342 _let_72))) _let_20)))) (let ((_let_448 (= _let_61 _let_399))) (let ((_let_449 (= _let_11 (tptp.double_divide _let_414 _let_20)))) (let ((_let_450 (= tptp.identity (tptp.double_divide _let_393 (tptp.double_divide _let_393 tptp.identity))))) (let ((_let_451 (= tptp.identity (tptp.double_divide _let_98 (tptp.double_divide _let_98 tptp.identity))))) (let ((_let_452 (= tptp.identity (tptp.double_divide _let_243 (tptp.double_divide _let_243 tptp.identity))))) (let ((_let_453 (= tptp.identity (tptp.double_divide _let_342 (tptp.double_divide _let_342 tptp.identity))))) (let ((_let_454 (= tptp.identity (tptp.double_divide _let_69 (tptp.double_divide _let_69 tptp.identity))))) (let ((_let_455 (= tptp.identity (tptp.double_divide _let_25 (tptp.double_divide _let_25 tptp.identity))))) (let ((_let_456 (= tptp.identity (tptp.double_divide _let_296 (tptp.double_divide _let_296 tptp.identity))))) (let ((_let_457 (= tptp.identity (tptp.double_divide _let_300 (tptp.double_divide _let_300 tptp.identity))))) (let ((_let_458 (tptp.double_divide _let_61 _let_209))) (let ((_let_459 (tptp.double_divide tptp.identity (tptp.double_divide _let_98 _let_458)))) (let ((_let_460 (tptp.double_divide _let_459 _let_20))) (let ((_let_461 (= _let_459 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_460)) _let_20)))) (let ((_let_462 (tptp.double_divide 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_let_550 _let_543 _let_540 _let_535 _let_523 _let_519) :args _let_517) _let_556 _let_553 _let_558 _let_550 _let_543 _let_540 _let_535 _let_523) _let_519) _let_564 :args _let_517) _let_556 _let_553 _let_558 _let_550 _let_543 _let_540 _let_535 _let_523 _let_519) :args _let_517) _let_556 _let_553 _let_558 _let_550 _let_543 _let_540 _let_535 _let_523 _let_519) :args _let_517) _let_556 _let_553 _let_558 _let_550 _let_543 _let_540 _let_535 _let_523) _let_519) _let_564 :args _let_517) _let_774) :args _let_517) _let_925 _let_887 _let_630 _let_627 _let_643 _let_1061 (CONG _let_602 (TRANS _let_668 _let_665 (SYMM _let_943) _let_935 _let_610 (CONG _let_815 _let_1060 :args _let_517)) :args _let_517)) :args _let_517) _let_524 :args _let_517))) (let ((_let_1117 (ASSUME :args (_let_269)))) (let ((_let_1118 (SYMM (SYMM _let_1117)))) (let ((_let_1119 (ASSUME :args (_let_368)))) (let ((_let_1120 (REFL :args (_let_224)))) (let ((_let_1121 (CONG _let_1120 _let_602 :args _let_517))) (let ((_let_1122 (CONG 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_let_550 _let_543 _let_540 _let_535 _let_523) _let_519) _let_564 :args _let_517)) :args _let_517) (SYMM _let_1123) _let_1119 (SYMM _let_1121) (SYMM _let_1122)) :args _let_517))) (let ((_let_1140 (ASSUME :args (_let_266)))) (let ((_let_1141 (ASSUME :args (_let_429)))) (let ((_let_1142 (REFL :args (_let_235)))) (let ((_let_1143 (CONG _let_1142 _let_696 :args _let_517))) (let ((_let_1144 (ASSUME :args (_let_390)))) (let ((_let_1145 (CONG _let_564 (TRANS (CONG _let_1142 (TRANS _let_1141 (SYMM _let_1143) (CONG _let_1142 _let_771 :args _let_517)) :args _let_517) (SYMM _let_1144)) :args _let_517))) (let ((_let_1146 (ASSUME :args (_let_258)))) (let ((_let_1147 (TRANS _let_1118 _let_1116 _let_1044))) (let ((_let_1148 (CONG _let_1147 (TRANS _let_1038 _let_970 _let_967 (SYMM _let_1145)) :args _let_517))) (let ((_let_1149 (CONG _let_1076 (TRANS _let_1112 _let_957 _let_569 _let_542 _let_568 _let_567 _let_566 _let_555 (SYMM _let_967) _let_969 (SYMM _let_1038)) :args _let_517))) (let ((_let_1150 (ASSUME :args (_let_385)))) (let ((_let_1151 (CONG (CONG _let_530 (CONG _let_564 (SYMM _let_1150) :args _let_517) :args _let_517) _let_959 :args _let_517))) (let ((_let_1152 (ASSUME :args (_let_280)))) (let ((_let_1153 (SYMM _let_1152))) (let ((_let_1154 (SYMM _let_1153))) (let ((_let_1155 (ASSUME :args (_let_228)))) (let ((_let_1156 (ASSUME :args (_let_267)))) (let ((_let_1157 (tptp.double_divide _let_211 _let_212))) (let ((_let_1158 (tptp.double_divide tptp.identity _let_211))) (let ((_let_1159 (tptp.double_divide _let_1158 _let_1157))) (let ((_let_1160 (tptp.double_divide tptp.identity _let_1159))) (let ((_let_1161 (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide _let_1160 (tptp.double_divide tptp.a2 (tptp.double_divide _let_1159 tptp.a2)))) _let_20)))) (let ((_let_1162 (tptp.double_divide tptp.identity tptp.a2))) (let ((_let_1163 (tptp.double_divide tptp.identity _let_1162))) (let ((_let_1164 (tptp.double_divide tptp.a2 _let_11))) (let ((_let_1165 (tptp.double_divide _let_21 _let_1164))) (let ((_let_1166 (tptp.double_divide _let_10 _let_1165))) (let ((_let_1167 (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_1166 _let_13))))) (let ((_let_1168 (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_1167 _let_13))))) (let ((_let_1169 (= _let_1168 (tptp.double_divide (tptp.double_divide _let_1162 (tptp.double_divide _let_20 (tptp.double_divide _let_1168 _let_1163))) _let_20)))) (let ((_let_1170 (tptp.double_divide _let_37 _let_212))) (let ((_let_1171 (tptp.double_divide tptp.identity (tptp.double_divide _let_1158 _let_1170)))) (let ((_let_1172 (tptp.double_divide _let_1170 (tptp.double_divide (tptp.double_divide tptp.identity _let_1158) _let_1171)))) (let ((_let_1173 (= _let_1172 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_1172 _let_56))) _let_20)))) (let ((_let_1174 (tptp.double_divide _let_1164 (tptp.double_divide _let_135 (tptp.double_divide _let_1162 _let_1165))))) (let ((_let_1175 (= _let_1174 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_1174 _let_56))) _let_20)))) (let ((_let_1176 (= _let_417 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_417 _let_56))) _let_20)))) (let ((_let_1177 (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_1162 _let_13))))) (let ((_let_1178 (= _let_1177 (tptp.double_divide (tptp.double_divide _let_218 (tptp.double_divide _let_223 (tptp.double_divide _let_1177 _let_220))) _let_20)))) (let ((_let_1179 (= _let_1162 (tptp.double_divide (tptp.double_divide _let_211 (tptp.double_divide _let_20 (tptp.double_divide _let_1162 _let_1158))) _let_20)))) (let ((_let_1180 (= _let_1174 (tptp.double_divide (tptp.double_divide _let_218 (tptp.double_divide _let_223 (tptp.double_divide _let_1174 _let_220))) _let_20)))) (let ((_let_1181 (= tptp.identity (tptp.double_divide _let_1172 _let_20)))) (let ((_let_1182 (= _let_1166 (tptp.double_divide (tptp.double_divide _let_218 (tptp.double_divide _let_223 (tptp.double_divide _let_1166 _let_220))) _let_20)))) (let ((_let_1183 (= tptp.identity (tptp.double_divide _let_1168 (tptp.double_divide _let_1168 tptp.identity))))) (let ((_let_1184 (= _let_1171 (tptp.double_divide (tptp.double_divide _let_11 (tptp.double_divide _let_20 (tptp.double_divide _let_1171 _let_56))) _let_20)))) (let ((_let_1185 (= _let_37 (tptp.double_divide _let_1171 _let_20)))) (let ((_let_1186 (tptp.double_divide _let_211 _let_11))) (let ((_let_1187 (tptp.double_divide _let_21 _let_1186))) (let ((_let_1188 (tptp.double_divide _let_1186 (tptp.double_divide _let_135 (tptp.double_divide _let_1158 _let_1187))))) (let ((_let_1189 (= _let_1158 (tptp.double_divide _let_1188 _let_20)))) (let ((_let_1190 (= _let_1162 (tptp.double_divide _let_1174 _let_20)))) (let ((_let_1191 (= _let_1167 (tptp.double_divide _let_1168 _let_20)))) (let ((_let_1192 (= _let_1162 (tptp.double_divide _let_1177 _let_20)))) (let ((_let_1193 (= _let_1166 (tptp.double_divide (tptp.double_divide _let_71 (tptp.double_divide _let_98 (tptp.double_divide _let_1166 _let_72))) _let_20)))) (let ((_let_1194 (= tptp.identity (tptp.double_divide _let_1162 (tptp.double_divide _let_1162 tptp.identity))))) (let ((_let_1195 (= _let_1158 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 (tptp.double_divide _let_1158 _let_20))) _let_20)))) (let ((_let_1196 (tptp.double_divide _let_1160 _let_20))) (let ((_let_1197 (= _let_1160 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_1196)) _let_20)))) (let ((_let_1198 (tptp.double_divide _let_20 (tptp.double_divide _let_37 (tptp.double_divide tptp.a2 _let_23))))) (let ((_let_1199 (tptp.double_divide _let_1198 _let_20))) (let ((_let_1200 (= _let_1198 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_20 _let_1199)) _let_20)))) (let ((_let_1201 (tptp.double_divide tptp.a2 _let_211))) (let ((_let_1202 (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_1162 _let_1201)) _let_20)))) (let ((_let_1203 (= _let_211 _let_1196))) (let ((_let_1204 (= _let_1166 (tptp.double_divide _let_1167 _let_20)))) (let ((_let_1205 (tptp.double_divide _let_10 _let_1187))) (let ((_let_1206 (= _let_1205 (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide _let_56 (tptp.double_divide _let_1205 _let_13))) _let_20)))) (let ((_let_1207 (= _let_211 (tptp.double_divide _let_418 _let_20)))) (let ((_let_1208 (= tptp.a2 _let_1199))) (let ((_let_1209 (= _let_211 (tptp.double_divide _let_1205 _let_20)))) (let ((_let_1210 (= tptp.a2 (tptp.double_divide _let_1166 _let_20)))) (let ((_let_1211 (= tptp.identity _let_1157))) (let ((_let_1212 (= tptp.identity _let_1201))) (let ((_let_1213 (and _let_12 _let_15 _let_1212 _let_1211 _let_19 _let_24 _let_1210 _let_1209 _let_26 _let_40 _let_1208 _let_1207 _let_45 _let_68 _let_74 _let_77 _let_1206 _let_1204 _let_78 _let_87 _let_1203 _let_1202 _let_88 _let_89 _let_90 _let_1200 _let_1197 _let_91 _let_92 _let_95 _let_1195 _let_1194 _let_101 _let_1193 _let_1192 _let_104 _let_1191 _let_1190 _let_1189 _let_109 _let_112 _let_1185 _let_1184 _let_124 _let_125 _let_1183 _let_1182 _let_1181 _let_1180 _let_1179 _let_1178 _let_1176 _let_1175 _let_1173 _let_1169 _let_1161))) (let ((_let_1214 (REFL :args (_let_211)))) (let ((_let_1215 (CONG _let_1214 _let_519 :args _let_517))) (let ((_let_1216 (REFL :args (tptp.a2)))) (let ((_let_1217 (CONG _let_1216 _let_519 :args _let_517))) (let ((_let_1218 (ASSUME :args (_let_1212)))) (let ((_let_1219 (SYMM _let_1218))) (let ((_let_1220 (ASSUME :args (_let_1181)))) (let ((_let_1221 (CONG (CONG _let_530 (TRANS _let_668 _let_665 _let_662 _let_653 (CONG (TRANS _let_518 _let_927) _let_649 :args _let_517) _let_620) :args _let_517) _let_641 :args _let_517))) (let ((_let_1222 (TRANS _let_1221 _let_606 _let_518 _let_522 _let_547 _let_569 _let_542 _let_568 _let_567 _let_566 _let_555))) (let ((_let_1223 (REFL :args (_let_1172)))) (let ((_let_1224 (ASSUME :args (_let_1173)))) (let ((_let_1225 (ASSUME :args (_let_1184)))) (let ((_let_1226 (REFL :args (_let_1171)))) (let ((_let_1227 (ASSUME :args (_let_1185)))) (let ((_let_1228 (ASSUME :args (_let_1207)))) (let ((_let_1229 (CONG _let_564 (SYMM _let_1228) :args _let_517))) (let ((_let_1230 (ASSUME :args (_let_1209)))) (let ((_let_1231 (CONG (REFL :args (_let_1205)) _let_531 :args _let_517))) (let ((_let_1232 (CONG _let_551 (TRANS _let_1231 (SYMM _let_1230) _let_1228) :args _let_517))) (let ((_let_1233 (SYMM _let_1231))) (let ((_let_1234 (CONG _let_564 (CONG (SYMM _let_552) (TRANS (CONG _let_1216 _let_529 :args _let_517) _let_1217 _let_1230 _let_1233) :args _let_517) :args _let_517))) (let ((_let_1235 (ASSUME :args (_let_1200)))) (let ((_let_1236 (SYMM _let_1235))) (let ((_let_1237 (ASSUME :args (_let_1208)))) (let ((_let_1238 (SYMM _let_1237))) (let ((_let_1239 (ASSUME :args (_let_1210)))) (let ((_let_1240 (SYMM _let_1239))) (let ((_let_1241 (CONG (REFL :args (_let_1166)) _let_531 :args _let_517))) (let ((_let_1242 (CONG _let_551 (TRANS _let_1241 _let_1240 (SYMM _let_1238)) :args _let_517))) (let ((_let_1243 (CONG _let_530 _let_1242 :args _let_517))) (let ((_let_1244 (SYMM _let_1241))) (let ((_let_1245 (ASSUME :args (_let_1202)))) (let ((_let_1246 (CONG _let_530 (CONG _let_539 (TRANS (SYMM _let_1245) _let_1239 _let_1244) :args _let_517) :args _let_517))) (let ((_let_1247 (CONG (TRANS _let_1246 _let_1243) _let_524 :args _let_517))) (let ((_let_1248 (CONG (SYMM _let_1246) _let_524 :args _let_517))) (let ((_let_1249 (ASSUME :args (_let_1204)))) (let ((_let_1250 (SYMM _let_1249))) (let ((_let_1251 (SYMM _let_1250))) (let ((_let_1252 (CONG _let_1214 _let_529 :args _let_517))) (let ((_let_1253 (ASSUME :args (_let_1176)))) (let ((_let_1254 (ASSUME :args (_let_1194)))) (let ((_let_1255 (REFL :args (_let_1162)))) (let ((_let_1256 (SYMM _let_1234))) (let ((_let_1257 (ASSUME :args (_let_1203)))) (let ((_let_1258 (CONG _let_530 (CONG _let_539 (TRANS (SYMM _let_1257) _let_1230 _let_1233) :args _let_517) :args _let_517))) (let ((_let_1259 (CONG (TRANS _let_1258 _let_1256 _let_1235 (SYMM _let_1247) (SYMM _let_1248) _let_1250) _let_563 :args _let_517))) (let ((_let_1260 (ASSUME :args (_let_1197)))) (let ((_let_1261 (SYMM (SYMM _let_1260)))) (let ((_let_1262 (ASSUME :args (_let_1211)))) (let ((_let_1263 (TRANS _let_556 _let_553 _let_558 _let_550 _let_543 _let_540 _let_535 _let_523 _let_519 (SYMM (SYMM _let_1262))))) (let ((_let_1264 (CONG (CONG _let_530 (TRANS (CONG _let_564 (CONG (REFL :args (_let_1158)) _let_1263 :args _let_517) :args _let_517) _let_1261 _let_1259 _let_1241 _let_1240) :args _let_517) (TRANS _let_556 _let_553 _let_558 _let_550 _let_543 _let_540 _let_535 _let_523 _let_519 _let_1218) :args _let_517))) (let ((_let_1265 (ASSUME :args (_let_1195)))) (let ((_let_1266 (SYMM (SYMM _let_1265)))) (let ((_let_1267 (CONG _let_1214 (TRANS (CONG _let_564 (TRANS (CONG _let_1255 (TRANS _let_1266 _let_1264 (CONG _let_1255 _let_1219 :args _let_517)) :args _let_517) (SYMM _let_1254)) :args _let_517) _let_556 _let_553 _let_558 _let_550 _let_543 _let_540 _let_535 _let_523) :args _let_517))) (let ((_let_1268 (ASSUME :args (_let_1179)))) (let ((_let_1269 (SYMM _let_1268))) (let ((_let_1270 (CONG _let_564 _let_1238 :args _let_517))) (let ((_let_1271 (SYMM _let_1242))) (let ((_let_1272 (SYMM _let_1270))) (let ((_let_1273 (CONG _let_530 (TRANS _let_1272 _let_1271) :args _let_517))) (let ((_let_1274 (CONG _let_602 (REFL :args (_let_1163)) :args _let_517))) (let ((_let_1275 (SYMM _let_1274))) (let ((_let_1276 (SYMM _let_1273))) (let ((_let_1277 (TRANS (CONG _let_602 (TRANS (CONG _let_564 (TRANS (CONG (SYMM _let_1267) _let_524 :args _let_517) _let_1269 _let_1272 _let_1271) :args _let_517) _let_1276) :args _let_517) _let_1275))) (let ((_let_1278 (ASSUME :args (_let_1192)))) (let ((_let_1279 (CONG _let_1243 _let_531 :args _let_517))) (let ((_let_1280 (CONG _let_648 (TRANS _let_1279 _let_1236 _let_1234 (CONG _let_712 (TRANS _let_1232 _let_1229 _let_1266 _let_1264 (CONG _let_1255 (TRANS _let_1219 _let_518 _let_522 _let_547 _let_569 _let_542 _let_568 _let_567 _let_566 _let_555 _let_563) :args _let_517)) :args _let_517)) :args _let_517))) (let ((_let_1281 (SYMM _let_1279))) (let ((_let_1282 (ASSUME :args (_let_1189)))) (let ((_let_1283 (TRANS (CONG _let_533 (TRANS (CONG _let_564 (TRANS (CONG (REFL :args (_let_1188)) _let_729 :args _let_517) (SYMM _let_1282) (SYMM _let_1229) (SYMM _let_1232)) :args _let_517) _let_1256 _let_1235 _let_1281) :args _let_517) _let_1280))) (let ((_let_1284 (CONG _let_1283 _let_524 :args _let_517))) (let ((_let_1285 (ASSUME :args (_let_1178)))) (let ((_let_1286 (ASSUME :args (_let_1190)))) (let ((_let_1287 (CONG (CONG _let_800 (CONG _let_798 (TRANS (CONG (REFL :args (_let_1174)) _let_1222 :args _let_517) (SYMM _let_1286) _let_1278 (SYMM _let_1284) (CONG _let_1283 (SYMM _let_1222) :args _let_517)) :args _let_517) :args _let_517) _let_524 :args _let_517))) (let ((_let_1288 (ASSUME :args (_let_1180)))) (let ((_let_1289 (SYMM _let_1288))) (let ((_let_1290 (ASSUME :args (_let_1175)))) (let ((_let_1291 (ASSUME :args (_let_1182)))) (let ((_let_1292 (CONG _let_539 (TRANS (SYMM _let_1291) _let_1251 _let_1248 _let_1247 _let_1281) :args _let_517))) (let ((_let_1293 (ASSUME :args (_let_1169)))) (let ((_let_1294 (ASSUME :args (_let_1191)))) (let ((_let_1295 (ASSUME :args (_let_1193)))) (let ((_let_1296 (CONG _let_530 (CONG _let_539 (TRANS (SYMM _let_1295) _let_1251 _let_1248 _let_1247 _let_1281) :args _let_517) :args _let_517))) (let ((_let_1297 (ASSUME :args (_let_1183)))) (let ((_let_1298 (CONG (SYMM _let_1258) _let_524 :args _let_517))) (let ((_let_1299 (ASSUME :args (_let_1206)))) (let ((_let_1300 (SYMM _let_1299))) (let ((_let_1301 (ASSUME :args (_let_1161)))) (let ((_let_1302 (and _let_12 _let_15 _let_24 _let_40 _let_78 _let_88 _let_89 _let_95))) (let ((_let_1303 (SYMM _let_519))) (let ((_let_1304 (CONG _let_1303 _let_530 :args _let_517))) (let ((_let_1305 (SYMM _let_556))) (let ((_let_1306 (CONG _let_519 (TRANS _let_529 _let_519) :args _let_517))) (let ((_let_1307 (CONG _let_530 (CONG _let_533 (TRANS (CONG _let_532 (SYMM _let_1304) :args _let_517) _let_529 _let_519 _let_527) :args _let_517) :args _let_517))) (let ((_let_1308 (CONG _let_1307 _let_524 :args _let_517))) (let ((_let_1309 (CONG _let_530 (TRANS (SYMM _let_546) _let_1308 _let_523 _let_519) :args _let_517))) (let ((_let_1310 (CONG _let_1309 _let_1306 :args _let_517))) (let ((_let_1311 (CONG _let_524 _let_1310 :args _let_517))) (let ((_let_1312 (SYMM _let_543))) (let ((_let_1313 (CONG _let_530 _let_519 :args _let_517))) (let ((_let_1314 (CONG (TRANS _let_1307 (CONG _let_530 (CONG _let_1313 (TRANS _let_526 _let_1303 (SYMM _let_538)) :args _let_517) :args _let_517)) _let_524 :args _let_517))) (let ((_let_1315 (SYMM 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(SYMM _let_1320))) (let ((_let_1322 (REFL :args (_let_30)))) (let ((_let_1323 (CONG _let_1322 _let_531 :args _let_517))) (let ((_let_1324 (ASSUME :args (_let_120)))) (let ((_let_1325 (REFL :args (_let_119)))) (let ((_let_1326 (CONG (TRANS (TRANS (CONG _let_519 (TRANS (CONG _let_564 (TRANS (CONG _let_1325 _let_578 :args _let_517) (CONG _let_1325 _let_575 :args _let_517) (SYMM _let_1324) _let_557 _let_556 _let_553 _let_558 _let_550 _let_543 _let_540 _let_535 _let_523 _let_519) :args _let_517) _let_556 _let_553 _let_558 _let_550 _let_543 _let_540 _let_535 _let_523 _let_519) :args _let_517) _let_556 _let_553 _let_558 _let_550 _let_543 _let_540 _let_535 _let_523) _let_519) _let_564 :args _let_517))) (let ((_let_1327 (ASSUME :args (_let_123)))) (let ((_let_1328 (SYMM (SYMM _let_1327)))) (let ((_let_1329 (CONG _let_1318 _let_529 :args _let_517))) (let ((_let_1330 (CONG _let_583 (TRANS _let_1329 _let_1319) :args _let_517))) (let ((_let_1331 (ASSUME :args (_let_154)))) (let ((_let_1332 (SYMM 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_let_1195 _let_1179 _let_1192 _let_1207 _let_1189 _let_1178 _let_1190 _let_1180 _let_1175 _let_1182 _let_1169 _let_1191 _let_1193 _let_1183 _let_1184 _let_1185 _let_1161))) :args (_let_12 _let_15 _let_1212 _let_1211 _let_19 _let_24 _let_1210 _let_1209 _let_26 _let_40 _let_1208 _let_1207 _let_45 _let_68 _let_74 _let_77 _let_1206 _let_1204 _let_78 _let_87 _let_1203 _let_1202 _let_88 _let_89 _let_90 _let_1200 _let_1197 _let_91 _let_92 _let_95 _let_1195 _let_1194 _let_101 _let_1193 _let_1192 _let_104 _let_1191 _let_1190 _let_1189 _let_109 _let_112 _let_1185 _let_1184 _let_124 _let_125 _let_1183 _let_1182 _let_1181 _let_1180 _let_1179 _let_1178 _let_1176 _let_1175 _let_1173 _let_1169 _let_1161))) :args (true _let_1213)) :args ((or _let_213 _let_515 _let_514 (not _let_1212) (not _let_1211) _let_513 _let_512 (not _let_1210) (not _let_1209) _let_511 _let_510 (not _let_1208) (not _let_1207) _let_509 _let_508 _let_507 _let_506 (not _let_1206) (not _let_1204) _let_505 _let_504 (not _let_1203) (not _let_1202) _let_503 _let_502 _let_501 (not _let_1200) (not _let_1197) _let_500 _let_499 _let_498 (not _let_1195) (not _let_1194) _let_497 (not _let_1193) (not _let_1192) _let_496 (not _let_1191) (not _let_1190) (not _let_1189) _let_495 _let_494 (not _let_1185) (not _let_1184) _let_493 _let_492 (not _let_1183) (not _let_1182) (not _let_1181) (not _let_1180) (not _let_1179) (not _let_1178) (not _let_1176) (not _let_1175) (not _let_1173) (not _let_1169) (not _let_1161)))) _let_176 _let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (tptp.a2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_177)) :args _let_175)) _let_174 :args (_let_1212 false _let_172)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_211 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_177)) :args _let_175)) _let_174 :args (_let_1211 false _let_172)) _let_179 _let_184 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_10 tptp.a1 tptp.a2 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(_let_218 _let_219 _let_1177 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_1178 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_11 tptp.identity _let_417 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_181 :args (_let_1176 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_11 tptp.identity _let_1174 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_181 :args (_let_1175 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_11 tptp.identity _let_1172 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_181 :args (_let_1173 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_1162 tptp.identity _let_1168 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_181 :args (_let_1169 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.a2 _let_1159 tptp.a2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_182)) _let_181 :args (_let_1161 false _let_180)) :args (_let_213 false _let_12 false _let_15 false _let_1212 false _let_1211 false _let_19 false _let_24 false _let_1210 false _let_1209 false _let_26 false _let_40 false _let_1208 false _let_1207 false _let_45 false _let_68 false _let_74 false _let_77 false _let_1206 false _let_1204 false _let_78 false _let_87 false _let_1203 false _let_1202 false _let_88 false _let_89 false _let_90 false _let_1200 false _let_1197 false _let_91 false _let_92 false _let_95 false _let_1195 false _let_1194 false _let_101 false _let_1193 false _let_1192 false _let_104 false _let_1191 false _let_1190 false _let_1189 false _let_109 false _let_112 false _let_1185 false _let_1184 false _let_124 false _let_125 false _let_1183 false _let_1182 false _let_1181 false _let_1180 false _let_1179 false _let_1178 false _let_1176 false _let_1175 false _let_1173 false _let_1169 false _let_1161)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_516)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_1128 _let_1126 _let_1134 _let_1133 _let_1137 _let_870 _let_847 _let_865 _let_817 _let_1117 _let_1068 _let_1115 _let_1152 _let_954 _let_1108 _let_968 _let_1096 _let_973 _let_986 _let_751 _let_844 _let_753 _let_896 _let_1022 _let_895 _let_892 _let_939 _let_919 _let_904 _let_788 _let_1144 _let_1058 _let_700 _let_1141 _let_749 _let_1050 _let_645 _let_874 _let_1097 _let_890 _let_731 _let_872 _let_1027 _let_554 _let_879 _let_886 _let_807 _let_1119 _let_642 _let_685 _let_1155 _let_1156 _let_1048 _let_681 _let_1001 _let_748 _let_709 _let_1015 _let_1012 _let_899 _let_796 _let_570 _let_1084 _let_882 _let_992 _let_1135 _let_901 _let_794 _let_880 _let_545 _let_1138 _let_760 _let_666 _let_595 _let_989 _let_1018 _let_693 _let_612 _let_528 _let_590 _let_1077 _let_831 _let_598 _let_687 _let_652 _let_783 _let_1095 _let_580 _let_1127 _let_720 _let_765 _let_691 _let_525 _let_801 _let_852 _let_733 _let_522 _let_609 _let_1032 _let_593 _let_1017 _let_1079 _let_820 _let_868 _let_631 _let_757 _let_565 _let_686 _let_622 _let_740 _let_677 _let_850 _let_628 _let_638 _let_695 _let_1063 _let_769 _let_816 _let_1046 _let_1025 _let_726 _let_1099 _let_737 _let_654 _let_980 _let_971 _let_965 _let_728 _let_1056 _let_956 _let_806 _let_537 _let_780 _let_861 _let_1074 _let_960 _let_1140 _let_1105 _let_837 _let_604 _let_893 _let_915 _let_1150 _let_818 _let_953 _let_605 _let_839 _let_1069 _let_876 _let_1021 _let_1062 _let_964 _let_1124 _let_1113 _let_1082 _let_1043 _let_541 _let_962 _let_560 _let_1146 _let_572 _let_615 _let_711 _let_841 _let_635 _let_1070 _let_518 _let_824 _let_1045 _let_675 _let_699 _let_704 _let_977 _let_716 _let_1123 _let_812) (SCOPE (TRANS _let_1014 _let_1008 (CONG (TRANS _let_1006 _let_1005 (TRANS _let_971 _let_1035 _let_1002 _let_998 _let_1034 _let_1033 _let_984) (TRANS _let_758 (SYMM _let_1033) (SYMM _let_1034) _let_1004 _let_1003 _let_1000 _let_972 (CONG (REFL :args (tptp.c3)) (TRANS _let_792 _let_791 _let_790 _let_787 (CONG (TRANS _let_898 _let_924 _let_944 (TRANS _let_668 _let_665 _let_662 _let_653 _let_651 _let_941 _let_940 (CONG _let_586 (TRANS _let_792 _let_791 _let_790 _let_787 _let_925 _let_887 _let_630 _let_627 _let_643 _let_1061 (CONG _let_602 (TRANS _let_668 _let_665 _let_662 _let_653 _let_651 _let_941 _let_940 _let_1072 _let_624 _let_1091 (SYMM (SYMM _let_1156))) :args _let_517)) :args _let_517))) _let_772 :args _let_517) (SYMM _let_1155) (CONG (TRANS (TRANS (CONG _let_1076 (TRANS _let_670 _let_606 _let_518 _let_522 _let_547 _let_958 _let_955) :args _let_517) (SYMM _let_1151) _let_1153) (TRANS _let_1154 _let_1151 _let_1149 _let_1148 (CONG (TRANS (SYMM _let_1147) (TRANS _let_1118 _let_1116 _let_1044 _let_960 (CONG (TRANS (SYMM (TRANS _let_1154 _let_1151 _let_1132 _let_963)) (TRANS _let_1154 _let_1151 _let_1149 _let_1148)) _let_524 :args _let_517) (SYMM _let_1146))) (TRANS _let_1145 _let_556 _let_553 _let_558 _let_550 _let_543 _let_540 _let_535 _let_523 _let_519 _let_605 _let_673) :args _let_517) _let_1143 (SYMM _let_1141))) (TRANS (CONG (TRANS (TRANS (CONG _let_530 _let_1104 :args _let_517) _let_942 _let_644 _let_888 _let_629 _let_886 _let_934 _let_933 _let_789 _let_786 _let_932) (SYMM _let_1011) _let_938) (TRANS (SYMM (SYMM _let_1140)) (CONG (CONG _let_1106 (SYMM _let_1139) :args _let_517) _let_524 :args _let_517) (CONG (CONG (SYMM _let_1106) (TRANS _let_1139 (CONG (SYMM _let_1042) (TRANS _let_1122 _let_1121 (SYMM _let_1119) _let_1118 _let_1116 _let_1044) :args _let_517) (CONG _let_1042 (TRANS _let_960 (CONG (REFL :args (_let_262)) (SYMM _let_1039) :args _let_517)) :args _let_517)) :args _let_517) _let_524 :args _let_517) (SYMM _let_964) (SYMM _let_963) _let_961) :args _let_517) _let_953 (SYMM _let_952) (SYMM _let_876) (CONG _let_585 (TRANS _let_875 (CONG (TRANS _let_836 _let_822 _let_853 (CONG _let_530 (TRANS (SYMM _let_866) _let_863 _let_862 (CONG _let_650 (TRANS _let_857 _let_871 _let_840 _let_836 _let_822 _let_829 _let_832) :args _let_517) _let_835) :args _let_517) (SYMM _let_838)) _let_531 :args _let_517) (CONG (TRANS _let_838 (CONG _let_530 (TRANS _let_834 (CONG _let_587 (TRANS _let_831 _let_830 _let_823 _let_819 (SYMM (SYMM _let_817))) :args _let_517)) :args _let_517)) _let_524 :args _let_517) (SYMM _let_816) (CONG _let_815 (TRANS (CONG (TRANS _let_728 (SYMM _let_797)) (TRANS (CONG _let_809 (TRANS _let_814 _let_811 _let_810) :args _let_517) (SYMM _let_807) _let_518 _let_522 _let_547 _let_569 _let_542 _let_568 _let_567 _let_566 _let_555) :args _let_517) (SYMM _let_806) (SYMM _let_708) (CONG _let_533 _let_707 :args _let_517) (CONG _let_648 _let_805 :args _let_517) _let_718 _let_715 _let_690 _let_688) :args _let_517)) :args _let_517)) :args _let_517)) :args _let_517))) _let_524 :args _let_517) (SYMM _let_686) (SYMM (SYMM _let_685)) (CONG (TRANS (CONG (TRANS _let_582 (SYMM _let_684) (TRANS _let_684 _let_682 _let_591)) (TRANS (CONG _let_589 (CONG _let_585 _let_584 :args _let_517) :args _let_517) _let_581 _let_579 _let_563) :args _let_517) _let_562 (SYMM _let_560)) _let_559 :args _let_517) _let_521) :args (_let_355 _let_254 _let_381 _let_389 _let_441 _let_378 _let_490 _let_313 _let_347 _let_269 _let_257 _let_238 _let_280 _let_474 _let_268 _let_338 _let_397 _let_426 _let_482 _let_449 _let_402 _let_464 _let_455 _let_400 _let_374 _let_406 _let_306 _let_375 _let_405 _let_346 _let_390 _let_386 _let_409 _let_429 _let_420 _let_359 _let_19 _let_410 _let_430 _let_424 _let_394 _let_438 _let_453 _let_95 _let_428 _let_293 _let_457 _let_368 _let_92 _let_377 _let_228 _let_267 _let_445 _let_456 _let_344 _let_415 _let_446 _let_408 _let_373 _let_339 _let_443 _let_74 _let_454 _let_391 _let_427 _let_411 _let_423 _let_413 _let_356 _let_78 _let_437 _let_461 _let_112 _let_477 _let_447 _let_450 _let_452 _let_45 _let_24 _let_299 _let_265 _let_472 _let_484 _let_487 _let_124 _let_416 _let_432 _let_403 _let_288 _let_431 _let_442 _let_480 _let_15 _let_292 _let_469 _let_491 _let_88 _let_26 _let_348 _let_479 _let_425 _let_388 _let_476 _let_335 _let_101 _let_475 _let_422 _let_217 _let_87 _let_483 _let_467 _let_440 _let_77 _let_68 _let_360 _let_451 _let_345 _let_309 _let_436 _let_387 _let_363 _let_401 _let_486 _let_104 _let_353 _let_384 _let_382 _let_351 _let_315 _let_481 _let_361 _let_40 _let_350 _let_357 _let_240 _let_354 _let_266 _let_365 _let_444 _let_331 _let_327 _let_318 _let_385 _let_478 _let_367 _let_125 _let_304 _let_286 _let_284 _let_448 _let_273 _let_271 _let_272 _let_270 _let_244 _let_274 _let_89 _let_276 _let_488 _let_258 _let_90 _let_91 _let_433 _let_421 _let_109 _let_366 _let_12 _let_485 _let_290 _let_376 _let_324 _let_434 _let_370 _let_291 _let_264 _let_489))) :args (_let_12 _let_15 _let_19 _let_491 _let_490 _let_24 _let_489 _let_488 _let_26 _let_487 _let_486 _let_40 _let_485 _let_484 _let_45 _let_483 _let_482 _let_481 _let_68 _let_74 _let_480 _let_77 _let_479 _let_478 _let_78 _let_477 _let_476 _let_475 _let_87 _let_88 _let_89 _let_474 _let_90 _let_472 _let_469 _let_467 _let_91 _let_92 _let_464 _let_461 _let_95 _let_457 _let_456 _let_455 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_448 _let_447 _let_446 _let_101 _let_445 _let_444 _let_104 _let_443 _let_442 _let_441 _let_440 _let_438 _let_437 _let_436 _let_109 _let_434 _let_433 _let_432 _let_431 _let_430 _let_112 _let_429 _let_428 _let_427 _let_426 _let_425 _let_424 _let_423 _let_422 _let_421 _let_420 _let_416 _let_415 _let_413 _let_411 _let_410 _let_409 _let_408 _let_406 _let_405 _let_403 _let_402 _let_401 _let_400 _let_397 _let_124 _let_394 _let_125 _let_391 _let_390 _let_389 _let_388 _let_387 _let_386 _let_385 _let_384 _let_382 _let_381 _let_378 _let_377 _let_376 _let_375 _let_374 _let_373 _let_370 _let_368 _let_367 _let_366 _let_365 _let_363 _let_361 _let_360 _let_359 _let_357 _let_356 _let_355 _let_354 _let_353 _let_351 _let_350 _let_348 _let_347 _let_346 _let_345 _let_344 _let_339 _let_338 _let_335 _let_331 _let_327 _let_324 _let_318 _let_315 _let_313 _let_309 _let_306 _let_304 _let_299 _let_293 _let_292 _let_291 _let_290 _let_288 _let_286 _let_284 _let_280 _let_276 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_258 _let_257 _let_254 _let_244 _let_240 _let_238 _let_228 _let_217))) :args (true _let_516)) :args ((or _let_210 _let_515 _let_514 _let_513 (not _let_491) (not _let_490) _let_512 (not _let_489) (not _let_488) _let_511 (not _let_487) (not _let_486) _let_510 (not _let_485) (not _let_484) _let_509 (not _let_483) (not _let_482) (not _let_481) _let_508 _let_507 (not _let_480) _let_506 (not _let_479) (not _let_478) _let_505 (not _let_477) (not _let_476) (not _let_475) _let_504 _let_503 _let_502 (not _let_474) _let_501 (not _let_472) (not _let_469) (not _let_467) _let_500 _let_499 (not _let_464) (not _let_461) _let_498 (not _let_457) (not _let_456) (not _let_455) (not _let_454) (not _let_453) (not _let_452) (not _let_451) (not _let_450) (not _let_449) (not _let_448) (not _let_447) (not _let_446) _let_497 (not _let_445) (not _let_444) _let_496 (not _let_443) (not _let_442) (not _let_441) (not _let_440) (not _let_438) (not _let_437) (not _let_436) _let_495 (not _let_434) (not _let_433) (not _let_432) (not _let_431) (not _let_430) _let_494 (not _let_429) (not _let_428) (not _let_427) (not _let_426) (not _let_425) (not _let_424) (not _let_423) (not _let_422) (not _let_421) (not _let_420) (not _let_416) (not _let_415) (not _let_413) (not _let_411) (not _let_410) (not _let_409) (not _let_408) (not _let_406) (not _let_405) (not _let_403) (not _let_402) (not _let_401) (not _let_400) (not _let_397) _let_493 (not _let_394) _let_492 (not _let_391) (not _let_390) (not _let_389) (not _let_388) (not _let_387) (not _let_386) (not _let_385) (not _let_384) (not _let_382) (not _let_381) (not _let_378) (not _let_377) (not _let_376) (not _let_375) (not _let_374) (not _let_373) (not _let_370) (not _let_368) (not _let_367) (not _let_366) (not _let_365) (not _let_363) (not _let_361) (not _let_360) (not _let_359) (not _let_357) (not _let_356) (not _let_355) (not _let_354) (not _let_353) (not _let_351) (not _let_350) (not _let_348) (not _let_347) (not _let_346) (not _let_345) (not _let_344) (not _let_339) (not _let_338) (not _let_335) (not _let_331) (not _let_327) (not _let_324) (not _let_318) (not _let_315) (not _let_313) (not _let_309) (not _let_306) (not _let_304) (not _let_299) (not _let_293) (not _let_292) (not _let_291) (not _let_290) (not _let_288) (not _let_286) (not _let_284) (not _let_280) (not _let_276) (not _let_274) (not _let_273) (not _let_272) (not _let_271) (not _let_270) (not _let_269) (not _let_268) (not _let_267) (not _let_266) (not _let_265) (not _let_264) (not _let_258) (not _let_257) (not _let_254) (not _let_244) (not _let_240) (not _let_238) (not _let_228) (not _let_217)))) _let_176 _let_178 _let_179 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_177)) :args _let_175)) _let_174 :args (_let_491 false _let_172)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_205 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_177)) :args _let_175)) _let_174 :args (_let_490 false _let_172)) _let_184 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_10 tptp.a1 _let_205 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_489 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_10 tptp.a1 _let_207 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_488 false _let_180)) _let_185 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity _let_16 tptp.c3 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_487 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_10 tptp.a1 _let_61 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_486 false _let_180)) _let_186 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_20 _let_22 _let_205 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_485 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_20 _let_22 _let_207 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_484 false _let_180)) _let_187 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (_let_20 _let_22 _let_61 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_483 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity _let_11 _let_342 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_482 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.a3 tptp.b3 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_481 false _let_180)) _let_188 _let_189 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity _let_11 _let_69 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_480 false _let_180)) _let_190 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity _let_11 _let_296 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_479 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity _let_11 _let_300 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_478 false _let_180)) _let_191 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity _let_207 _let_207 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_477 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity _let_205 _let_205 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_476 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity _let_61 _let_61 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_475 false _let_180)) _let_192 _let_193 _let_194 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity tptp.identity _let_230 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_181 :args (_let_474 false _let_180)) _let_195 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity tptp.identity _let_470 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_181 :args (_let_472 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity tptp.identity _let_303 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_181 :args (_let_469 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity tptp.identity _let_465 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_181 :args (_let_467 false _let_180)) _let_196 _let_197 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity tptp.identity _let_462 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_181 :args (_let_464 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.identity tptp.identity _let_459 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_181 :args (_let_461 false _let_180)) _let_198 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_300 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_177)) :args _let_175)) _let_174 :args (_let_457 false _let_172)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_296 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_177)) :args _let_175)) _let_174 :args (_let_456 false _let_172)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE 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% 101.05/101.82  )
% 101.05/101.83  % SZS output end Proof for GRP103-1
% 101.05/101.83  % cvc5---1.0.5 exiting
% 101.05/101.83  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------