TSTP Solution File: GRP115-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP115-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n007.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 00:24:24 EDT 2023

% Result   : Unsatisfiable 0.55s 0.78s
% Output   : Proof 0.61s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP115-1 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 28 20:33:28 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.47  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Sk1FcJXQzv/cvc5---1.0.5_17447.p...
% 0.19/0.48  ------- get file name : TPTP file name is GRP115-1
% 0.19/0.48  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17447.smt2...
% 0.19/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.55/0.78  % SZS status Unsatisfiable for GRP115-1
% 0.55/0.78  % SZS output start Proof for GRP115-1
% 0.61/0.79  (
% 0.61/0.79  (let ((_let_1 (tptp.multiply tptp.a tptp.a))) (let ((_let_2 (tptp.multiply tptp.a _let_1))) (let ((_let_3 (not (= _let_2 tptp.identity)))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.multiply (tptp.multiply X (tptp.multiply (tptp.multiply X Y) Z)) (tptp.multiply tptp.identity (tptp.multiply Z Z)))) Y)))) (let ((_let_5 (= tptp.identity _let_2))) (let ((_let_6 (tptp.multiply tptp.identity tptp.identity))) (let ((_let_7 (tptp.multiply tptp.identity _let_6))) (let ((_let_8 (tptp.multiply _let_6 tptp.identity))) (let ((_let_9 (tptp.multiply (tptp.multiply tptp.identity _let_8) _let_7))) (let ((_let_10 (tptp.multiply tptp.identity _let_9))) (let ((_let_11 (= tptp.identity _let_10))) (let ((_let_12 (= _let_9 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_10 tptp.identity)) _let_7))))) (let ((_let_13 (= _let_8 (tptp.multiply tptp.identity (tptp.multiply _let_10 (tptp.multiply tptp.identity (tptp.multiply _let_7 _let_7))))))) (let ((_let_14 (tptp.multiply tptp.identity _let_1))) (let ((_let_15 (tptp.multiply _let_1 tptp.a))) (let ((_let_16 (tptp.multiply tptp.a _let_15))) (let ((_let_17 (tptp.multiply _let_16 _let_14))) (let ((_let_18 (tptp.multiply tptp.a _let_17))) (let ((_let_19 (= tptp.a _let_18))) (let ((_let_20 (tptp.multiply _let_17 _let_17))) (let ((_let_21 (tptp.multiply tptp.identity _let_20))) (let ((_let_22 (= _let_17 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_18 _let_17)) _let_21))))) (let ((_let_23 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_18 tptp.a)) _let_14))) (let ((_let_24 (= _let_17 (tptp.multiply tptp.a _let_23)))) (let ((_let_25 (tptp.multiply _let_14 _let_14))) (let ((_let_26 (tptp.multiply tptp.identity _let_25))) (let ((_let_27 (tptp.multiply _let_18 _let_26))) (let ((_let_28 (tptp.multiply tptp.a _let_27))) (let ((_let_29 (= _let_15 _let_28))) (let ((_let_30 (tptp.multiply tptp.identity (tptp.multiply _let_27 _let_27)))) (let ((_let_31 (= _let_17 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_18 _let_27)) _let_30))))) (let ((_let_32 (tptp.multiply tptp.identity (tptp.multiply _let_23 _let_23)))) (let ((_let_33 (= _let_17 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_18 _let_23)) _let_32))))) (let ((_let_34 (tptp.multiply tptp.identity (tptp.multiply _let_21 _let_21)))) (let ((_let_35 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_1 _let_21)) _let_34))) (let ((_let_36 (tptp.multiply tptp.a _let_35))) (let ((_let_37 (= tptp.a _let_36))) (let ((_let_38 (tptp.multiply tptp.a (tptp.multiply _let_2 _let_14)))) (let ((_let_39 (tptp.multiply _let_38 _let_26))) (let ((_let_40 (tptp.multiply tptp.a _let_39))) (let ((_let_41 (= _let_1 _let_40))) (let ((_let_42 (tptp.multiply _let_26 _let_26))) (let ((_let_43 (tptp.multiply tptp.identity _let_42))) (let ((_let_44 (= _let_1 _let_43))) (let ((_let_45 (tptp.multiply _let_28 _let_43))) (let ((_let_46 (tptp.multiply tptp.a _let_45))) (let ((_let_47 (= _let_17 _let_46))) (let ((_let_48 (= _let_35 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_36 _let_39)) (tptp.multiply tptp.identity (tptp.multiply _let_39 _let_39))))))) (let ((_let_49 (tptp.multiply _let_42 _let_42))) (let ((_let_50 (tptp.multiply tptp.identity _let_49))) (let ((_let_51 (tptp.multiply tptp.identity (tptp.multiply _let_6 _let_42)))) (let ((_let_52 (tptp.multiply _let_51 _let_50))) (let ((_let_53 (tptp.multiply tptp.identity _let_52))) (let ((_let_54 (= tptp.identity _let_53))) (let ((_let_55 (= _let_39 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_40 tptp.a)) _let_14))))) (let ((_let_56 (tptp.multiply tptp.identity (tptp.multiply _let_30 _let_30)))) (let ((_let_57 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_16 _let_30)) _let_56))) (let ((_let_58 (tptp.multiply tptp.a _let_57))) (let ((_let_59 (= _let_15 _let_58))) (let ((_let_60 (tptp.multiply tptp.identity (tptp.multiply _let_32 _let_32)))) (let ((_let_61 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_36 _let_32)) _let_60))) (let ((_let_62 (tptp.multiply tptp.a _let_61))) (let ((_let_63 (= _let_35 _let_62))) (let ((_let_64 (tptp.multiply _let_34 _let_34))) (let ((_let_65 (tptp.multiply tptp.identity _let_64))) (let ((_let_66 (= _let_20 _let_65))) (let ((_let_67 (= _let_45 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_46 _let_26)) _let_43))))) (let ((_let_68 (tptp.multiply _let_43 _let_43))) (let ((_let_69 (tptp.multiply tptp.identity _let_68))) (let ((_let_70 (= _let_25 _let_69))) (let ((_let_71 (tptp.multiply _let_46 _let_69))) (let ((_let_72 (tptp.multiply tptp.a _let_71))) (let ((_let_73 (= _let_27 _let_72))) (let ((_let_74 (= _let_61 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_62 _let_26)) _let_43))))) (let ((_let_75 (= _let_52 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_53 _let_42)) _let_50))))) (let ((_let_76 (tptp.multiply (tptp.multiply _let_17 (tptp.multiply (tptp.multiply _let_17 _let_26) _let_61)) (tptp.multiply tptp.identity (tptp.multiply _let_61 _let_61))))) (let ((_let_77 (= _let_26 (tptp.multiply _let_17 _let_76)))) (let ((_let_78 (tptp.multiply tptp.identity (tptp.multiply _let_64 _let_64)))) (let ((_let_79 (= _let_52 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_53 _let_64)) _let_78))))) (let ((_let_80 (tptp.multiply _let_68 _let_68))) (let ((_let_81 (tptp.multiply tptp.identity _let_80))) (let ((_let_82 (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_53 _let_68)) _let_81))) (let ((_let_83 (tptp.multiply tptp.identity _let_82))) (let ((_let_84 (= _let_52 _let_83))) (let ((_let_85 (= _let_57 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_58 _let_43)) _let_69))))) (let ((_let_86 (tptp.multiply _let_50 _let_50))) (let ((_let_87 (tptp.multiply tptp.identity _let_86))) (let ((_let_88 (tptp.multiply _let_14 _let_50))) (let ((_let_89 (tptp.multiply tptp.identity _let_88))) (let ((_let_90 (tptp.multiply _let_89 _let_87))) (let ((_let_91 (= _let_1 (tptp.multiply tptp.identity _let_90)))) (let ((_let_92 (tptp.multiply tptp.identity (tptp.multiply _let_56 _let_56)))) (let ((_let_93 (= _let_61 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_62 _let_56)) _let_92))))) (let ((_let_94 (tptp.multiply tptp.identity (tptp.multiply _let_65 _let_65)))) (let ((_let_95 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_18 _let_65)) _let_94))) (let ((_let_96 (tptp.multiply tptp.a _let_95))) (let ((_let_97 (= _let_17 _let_96))) (let ((_let_98 (tptp.multiply tptp.a (tptp.multiply _let_1 _let_43)))) (let ((_let_99 (tptp.multiply _let_98 _let_69))) (let ((_let_100 (tptp.multiply tptp.a _let_99))) (let ((_let_101 (= tptp.a _let_100))) (let ((_let_102 (tptp.multiply _let_69 _let_69))) (let ((_let_103 (tptp.multiply tptp.identity _let_102))) (let ((_let_104 (= _let_42 _let_103))) (let ((_let_105 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_62 _let_69)) _let_103))) (let ((_let_106 (= _let_61 (tptp.multiply tptp.a _let_105)))) (let ((_let_107 (= _let_99 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_100 tptp.a)) _let_14))))) (let ((_let_108 (= _let_82 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_83 _let_64)) _let_78))))) (let ((_let_109 (= _let_50 (tptp.multiply _let_14 (tptp.multiply (tptp.multiply _let_14 (tptp.multiply _let_88 _let_1)) (tptp.multiply tptp.identity (tptp.multiply _let_1 _let_1))))))) (let ((_let_110 (tptp.multiply tptp.identity (tptp.multiply _let_76 _let_76)))) (let ((_let_111 (= _let_95 (tptp.multiply _let_18 (tptp.multiply (tptp.multiply _let_18 (tptp.multiply (tptp.multiply _let_18 _let_95) _let_76)) _let_110))))) (let ((_let_112 (= _let_95 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_96 _let_56)) _let_92))))) (let ((_let_113 (tptp.multiply _let_102 _let_102))) (let ((_let_114 (tptp.multiply tptp.identity _let_113))) (let ((_let_115 (= _let_82 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_83 _let_102)) _let_114))))) (let ((_let_116 (= _let_102 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_103 _let_42)) _let_50))))) (let ((_let_117 (tptp.multiply tptp.identity (tptp.multiply _let_49 _let_49)))) (let ((_let_118 (tptp.multiply (tptp.multiply _let_51 (tptp.multiply _let_52 _let_49)) _let_117))) (let ((_let_119 (= _let_50 (tptp.multiply _let_51 _let_118)))) (let ((_let_120 (tptp.multiply _let_78 _let_78))) (let ((_let_121 (tptp.multiply tptp.identity (tptp.multiply _let_21 _let_78)))) (let ((_let_122 (tptp.multiply _let_121 (tptp.multiply tptp.identity _let_120)))) (let ((_let_123 (= _let_20 (tptp.multiply tptp.identity _let_122)))) (let ((_let_124 (tptp.multiply tptp.identity (tptp.multiply _let_71 _let_71)))) (let ((_let_125 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_28 _let_124)) (tptp.multiply tptp.identity (tptp.multiply _let_124 _let_124))))) (let ((_let_126 (= _let_27 (tptp.multiply tptp.a _let_125)))) (let ((_let_127 (= _let_49 (tptp.multiply tptp.identity (tptp.multiply _let_87 _let_87))))) (let ((_let_128 (tptp.multiply tptp.identity (tptp.multiply _let_86 _let_86)))) (let ((_let_129 (tptp.multiply (tptp.multiply _let_89 (tptp.multiply (tptp.multiply _let_89 _let_82) _let_86)) _let_128))) (let ((_let_130 (= _let_82 (tptp.multiply _let_89 _let_129)))) (let ((_let_131 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_28 _let_92)) (tptp.multiply tptp.identity (tptp.multiply _let_92 _let_92))))) (let ((_let_132 (= _let_27 (tptp.multiply tptp.a _let_131)))) (let ((_let_133 (tptp.multiply _let_94 _let_94))) (let ((_let_134 (tptp.multiply tptp.identity _let_133))) (let ((_let_135 (= _let_64 _let_134))) (let ((_let_136 (tptp.multiply tptp.identity (tptp.multiply _let_103 _let_103)))) (let ((_let_137 (= _let_68 _let_136))) (let ((_let_138 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_72 _let_103)) _let_136))) (let ((_let_139 (tptp.multiply tptp.a _let_138))) (let ((_let_140 (= _let_71 _let_139))) (let ((_let_141 (= _let_129 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity _let_129) _let_42)) _let_50))))) (let ((_let_142 (= _let_81 (tptp.multiply _let_26 (tptp.multiply (tptp.multiply _let_26 (tptp.multiply (tptp.multiply _let_26 _let_81) _let_25)) (tptp.multiply tptp.identity (tptp.multiply _let_25 _let_25))))))) (let ((_let_143 (tptp.multiply tptp.identity (tptp.multiply _let_118 _let_118)))) (let ((_let_144 (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_14 _let_118)) _let_143))) (let ((_let_145 (= _let_1 (tptp.multiply tptp.identity _let_144)))) (let ((_let_146 (= _let_133 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_134 _let_64)) _let_78))))) (let ((_let_147 (tptp.multiply (tptp.multiply _let_14 (tptp.multiply _let_25 _let_69)) _let_103))) (let ((_let_148 (= _let_14 (tptp.multiply _let_14 _let_147)))) (let ((_let_149 (tptp.multiply tptp.identity (tptp.multiply _let_110 _let_110)))) (let ((_let_150 (= _let_131 (tptp.multiply _let_18 (tptp.multiply (tptp.multiply _let_18 (tptp.multiply (tptp.multiply _let_18 _let_131) _let_110)) _let_149))))) (let ((_let_151 (= _let_80 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_81 _let_102)) _let_114))))) (let ((_let_152 (tptp.multiply (tptp.multiply _let_51 (tptp.multiply _let_52 _let_117)) (tptp.multiply tptp.identity (tptp.multiply _let_117 _let_117))))) (let ((_let_153 (= _let_50 (tptp.multiply _let_51 _let_152)))) (let ((_let_154 (tptp.multiply (tptp.multiply _let_121 (tptp.multiply (tptp.multiply _let_121 _let_129) _let_120)) (tptp.multiply tptp.identity (tptp.multiply _let_120 _let_120))))) (let ((_let_155 (= _let_129 (tptp.multiply _let_121 _let_154)))) (let ((_let_156 (= _let_154 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity _let_154) _let_64)) _let_78))))) (let ((_let_157 (tptp.multiply _let_152 _let_152))) (let ((_let_158 (tptp.multiply tptp.identity _let_157))) (let ((_let_159 (tptp.multiply _let_51 (tptp.multiply (tptp.multiply _let_51 _let_147) _let_152)))) (let ((_let_160 (tptp.multiply _let_159 _let_158))) (let ((_let_161 (= _let_147 (tptp.multiply _let_51 _let_160)))) (let ((_let_162 (tptp.multiply _let_14 _let_152))) (let ((_let_163 (tptp.multiply (tptp.multiply tptp.identity _let_162) _let_158))) (let ((_let_164 (tptp.multiply tptp.identity _let_163))) (let ((_let_165 (= _let_1 _let_164))) (let ((_let_166 (tptp.multiply tptp.identity (tptp.multiply _let_131 _let_131)))) (let ((_let_167 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_28 _let_166)) (tptp.multiply tptp.identity (tptp.multiply _let_166 _let_166))))) (let ((_let_168 (tptp.multiply tptp.a _let_167))) (let ((_let_169 (= _let_27 _let_168))) (let ((_let_170 (tptp.multiply (tptp.multiply _let_26 _let_49) _let_50))) (let ((_let_171 (= _let_26 (tptp.multiply _let_26 _let_170)))) (let ((_let_172 (tptp.multiply tptp.identity (tptp.multiply _let_143 _let_143)))) (let ((_let_173 (tptp.multiply tptp.identity (tptp.multiply _let_69 _let_143)))) (let ((_let_174 (tptp.multiply _let_173 _let_172))) (let ((_let_175 (= _let_68 (tptp.multiply tptp.identity _let_174)))) (let ((_let_176 (= _let_152 (tptp.multiply _let_14 (tptp.multiply (tptp.multiply _let_14 (tptp.multiply _let_162 _let_103)) _let_136))))) (let ((_let_177 (tptp.multiply _let_113 _let_113))) (let ((_let_178 (tptp.multiply _let_89 (tptp.multiply _let_90 _let_128)))) (let ((_let_179 (tptp.multiply (tptp.multiply _let_178 (tptp.multiply (tptp.multiply _let_178 _let_154) _let_177)) (tptp.multiply tptp.identity (tptp.multiply _let_177 _let_177))))) (let ((_let_180 (= _let_154 (tptp.multiply _let_178 _let_179)))) (let ((_let_181 (= _let_167 (tptp.multiply tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_168 _let_103)) _let_136))))) (let ((_let_182 (= _let_167 (tptp.multiply _let_18 (tptp.multiply (tptp.multiply _let_18 (tptp.multiply (tptp.multiply _let_18 _let_167) _let_110)) _let_149))))) (let ((_let_183 (= _let_163 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_164 _let_114)) (tptp.multiply tptp.identity (tptp.multiply _let_114 _let_114))))))) (let ((_let_184 (tptp.multiply tptp.identity (tptp.multiply _let_136 _let_136)))) (let ((_let_185 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_139 _let_184)) (tptp.multiply tptp.identity (tptp.multiply _let_184 _let_184))))) (let ((_let_186 (tptp.multiply (tptp.multiply tptp.a (tptp.multiply _let_18 _let_185)) (tptp.multiply tptp.identity (tptp.multiply _let_185 _let_185))))) (let ((_let_187 (= _let_17 (tptp.multiply tptp.a _let_186)))) (let ((_let_188 (tptp.multiply tptp.identity (tptp.multiply _let_147 _let_147)))) (let ((_let_189 (tptp.multiply (tptp.multiply _let_14 (tptp.multiply _let_25 _let_188)) (tptp.multiply tptp.identity (tptp.multiply _let_188 _let_188))))) (let ((_let_190 (= _let_14 (tptp.multiply _let_14 _let_189)))) (let ((_let_191 (tptp.multiply (tptp.multiply _let_38 (tptp.multiply _let_39 _let_110)) _let_149))) (let ((_let_192 (tptp.multiply tptp.identity (tptp.multiply _let_191 _let_191)))) (let ((_let_193 (tptp.multiply (tptp.multiply _let_38 (tptp.multiply _let_39 _let_192)) (tptp.multiply tptp.identity (tptp.multiply _let_192 _let_192))))) (let ((_let_194 (= _let_26 (tptp.multiply _let_38 _let_193)))) (let ((_let_195 (tptp.multiply tptp.identity (tptp.multiply _let_105 _let_105)))) (let ((_let_196 (tptp.multiply tptp.identity (tptp.multiply _let_195 _let_195)))) (let ((_let_197 (tptp.multiply (tptp.multiply _let_45 (tptp.multiply (tptp.multiply _let_45 _let_45) _let_196)) (tptp.multiply tptp.identity (tptp.multiply _let_196 _let_196))))) (let ((_let_198 (= _let_45 (tptp.multiply _let_45 _let_197)))) (let ((_let_199 (tptp.multiply (tptp.multiply _let_38 (tptp.multiply (tptp.multiply _let_38 _let_34) _let_76)) _let_110))) (let ((_let_200 (tptp.multiply tptp.a (tptp.multiply _let_46 _let_34)))) (let ((_let_201 (tptp.multiply _let_200 (tptp.multiply (tptp.multiply _let_200 _let_65) _let_21)))) (let ((_let_202 (tptp.multiply (tptp.multiply _let_201 (tptp.multiply (tptp.multiply _let_201 _let_69) _let_199)) (tptp.multiply tptp.identity (tptp.multiply _let_199 _let_199))))) (let ((_let_203 (tptp.multiply tptp.identity (tptp.multiply _let_202 _let_202)))) (let ((_let_204 (tptp.multiply (tptp.multiply _let_98 (tptp.multiply _let_99 _let_203)) (tptp.multiply tptp.identity (tptp.multiply _let_203 _let_203))))) (let ((_let_205 (= _let_69 (tptp.multiply _let_98 _let_204)))) (let ((_let_206 (tptp.multiply (tptp.multiply _let_173 (tptp.multiply (tptp.multiply _let_173 _let_43) _let_68)) _let_81))) (let ((_let_207 (= _let_43 (tptp.multiply _let_173 _let_206)))) (let ((_let_208 (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_164 _let_172)) (tptp.multiply tptp.identity (tptp.multiply _let_172 _let_172))))) (let ((_let_209 (tptp.multiply tptp.identity _let_208))) (let ((_let_210 (= _let_163 _let_209))) (let ((_let_211 (= _let_208 (tptp.multiply tptp.identity (tptp.multiply (tptp.multiply tptp.identity (tptp.multiply _let_209 _let_42)) _let_50))))) (let ((_let_212 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= Y (tptp.multiply X (tptp.multiply (tptp.multiply X (tptp.multiply (tptp.multiply X Y) Z)) (tptp.multiply tptp.identity (tptp.multiply Z Z)))))))) (let ((_let_213 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_214 (_let_212))) (let ((_let_215 ((tptp.multiply X (tptp.multiply (tptp.multiply X Y) Z))))) (let ((_let_216 (and _let_11 _let_12 _let_13 _let_19 _let_22 _let_24 _let_29 _let_31 _let_33 _let_37 _let_41 _let_44 _let_47 _let_48 _let_54 _let_55 _let_59 _let_63 _let_66 _let_67 _let_70 _let_73 _let_74 _let_75 _let_77 _let_79 _let_84 _let_85 _let_91 _let_93 _let_97 _let_101 _let_104 _let_106 _let_107 _let_108 _let_109 _let_111 _let_112 _let_115 _let_116 _let_119 _let_123 _let_126 _let_127 _let_130 _let_132 _let_135 _let_137 _let_140 _let_141 _let_142 _let_145 _let_146 _let_148 _let_150 _let_151 _let_153 _let_155 _let_156 _let_161 _let_165 _let_169 _let_171 _let_175 _let_176 _let_180 _let_181 _let_182 _let_183 _let_187 _let_190 _let_194 _let_198 _let_205 _let_207 _let_210 _let_211))) (let ((_let_217 (APPLY_UF tptp.multiply))) (let ((_let_218 (ASSUME :args (_let_44)))) (let ((_let_219 (SYMM _let_218))) (let ((_let_220 (ASSUME :args (_let_207)))) (let ((_let_221 (REFL :args (_let_68)))) (let ((_let_222 (ASSUME :args (_let_11)))) (let ((_let_223 (SYMM _let_222))) (let ((_let_224 (REFL :args (_let_7)))) (let ((_let_225 (ASSUME :args (_let_13)))) (let ((_let_226 (REFL :args (tptp.identity)))) (let ((_let_227 (CONG _let_223 _let_226 :args _let_217))) (let ((_let_228 (CONG (CONG _let_226 _let_227 :args _let_217) _let_224 :args _let_217))) (let ((_let_229 (ASSUME :args (_let_12)))) (let ((_let_230 (SYMM _let_229))) (let ((_let_231 (SYMM _let_230))) (let ((_let_232 (CONG _let_226 (TRANS _let_228 (CONG (CONG _let_226 (TRANS (CONG _let_226 (TRANS _let_222 (CONG _let_222 (TRANS _let_231 (CONG _let_226 _let_228 :args _let_217)) :args _let_217)) :args _let_217) (SYMM _let_225)) :args _let_217) _let_224 :args _let_217)) :args _let_217))) (let ((_let_233 (TRANS _let_231 _let_232 _let_223))) (let ((_let_234 (SYMM _let_232))) (let ((_let_235 (ASSUME :args (_let_54)))) (let ((_let_236 (SYMM _let_235))) (let ((_let_237 (CONG _let_236 (REFL :args (_let_52)) :args _let_217))) (let ((_let_238 (REFL :args (_let_50)))) (let ((_let_239 (REFL :args (_let_42)))) (let ((_let_240 (SYMM _let_233))) (let ((_let_241 (CONG _let_226 (TRANS _let_218 (CONG (TRANS _let_240 (TRANS _let_231 _let_232 (CONG _let_222 _let_233 :args _let_217) _let_227)) _let_239 :args _let_217)) :args _let_217))) (let ((_let_242 (CONG _let_235 (CONG (TRANS (CONG _let_226 (TRANS (CONG _let_236 _let_239 :args _let_217) _let_219) :args _let_217) _let_241) _let_238 :args _let_217) :args _let_217))) (let ((_let_243 (ASSUME :args (_let_75)))) (let ((_let_244 (SYMM _let_243))) (let ((_let_245 (SYMM _let_244))) (let ((_let_246 (ASSUME :args (_let_84)))) (let ((_let_247 (SYMM _let_246))) (let ((_let_248 (TRANS _let_247 _let_245 _let_242 _let_237 _let_236 _let_222 _let_234 _let_230))) (let ((_let_249 (TRANS _let_248 _let_233))) (let ((_let_250 (CONG _let_249 _let_221 :args _let_217))) (let ((_let_251 (ASSUME :args (_let_137)))) (let ((_let_252 (SYMM _let_251))) (let ((_let_253 (ASSUME :args (_let_104)))) (let ((_let_254 (SYMM _let_253))) (let ((_let_255 (SYMM _let_254))) (let ((_let_256 (REFL :args (_let_103)))) (let ((_let_257 (CONG _let_255 _let_239 :args _let_217))) (let ((_let_258 (CONG _let_226 (TRANS _let_257 (CONG _let_256 _let_255 :args _let_217)) :args _let_217))) (let ((_let_259 (ASSUME :args (_let_119)))) (let ((_let_260 (CONG _let_241 (REFL :args (_let_118)) :args _let_217))) (let ((_let_261 (SYMM _let_249))) (let ((_let_262 (CONG _let_241 _let_238 :args _let_217))) (let ((_let_263 (ASSUME :args (_let_79)))) (let ((_let_264 (SYMM _let_263))) (let ((_let_265 (REFL :args (_let_78)))) (let ((_let_266 (REFL :args (_let_64)))) (let ((_let_267 (ASSUME :args (_let_66)))) (let ((_let_268 (SYMM _let_267))) (let ((_let_269 (ASSUME :args (_let_24)))) (let ((_let_270 (SYMM _let_269))) (let ((_let_271 (REFL :args (_let_14)))) (let ((_let_272 (REFL :args (tptp.a)))) (let ((_let_273 (ASSUME :args (_let_19)))) (let ((_let_274 (SYMM _let_273))) (let ((_let_275 (SYMM _let_274))) (let ((_let_276 (CONG (CONG _let_272 (CONG _let_275 _let_272 :args _let_217) :args _let_217) _let_271 :args _let_217))) (let ((_let_277 (ASSUME :args (_let_41)))) (let ((_let_278 (SYMM _let_277))) (let ((_let_279 (CONG _let_272 (CONG (CONG _let_272 (CONG _let_278 _let_272 :args _let_217) :args _let_217) _let_271 :args _let_217) :args _let_217))) (let ((_let_280 (ASSUME :args (_let_55)))) (let ((_let_281 (SYMM (SYMM _let_280)))) (let ((_let_282 (TRANS _let_281 _let_279 _let_274))) (let ((_let_283 (ASSUME :args (_let_37)))) (let ((_let_284 (SYMM _let_283))) (let ((_let_285 (CONG _let_284 (REFL :args (_let_39)) :args _let_217))) (let ((_let_286 (CONG _let_272 (TRANS (CONG (CONG _let_272 (TRANS _let_285 _let_278) :args _let_217) (CONG _let_226 (CONG _let_282 _let_282 :args _let_217) :args _let_217) :args _let_217) _let_276) :args _let_217))) (let ((_let_287 (ASSUME :args (_let_48)))) (let ((_let_288 (SYMM (SYMM _let_287)))) (let ((_let_289 (TRANS _let_288 _let_286 _let_270))) (let ((_let_290 (CONG _let_289 _let_289 :args _let_217))) (let ((_let_291 (SYMM _let_290))) (let ((_let_292 (CONG _let_226 _let_291 :args _let_217))) (let ((_let_293 (TRANS _let_292 (CONG _let_226 (TRANS _let_290 (SYMM _let_268) (CONG _let_235 _let_266 :args _let_217)) :args _let_217)))) (let ((_let_294 (SYMM _let_292))) (let ((_let_295 (CONG _let_226 (CONG (TRANS (TRANS (CONG _let_226 (TRANS (CONG _let_249 _let_266 :args _let_217) _let_268 _let_291) :args _let_217) _let_294) _let_293) _let_265 :args _let_217) :args _let_217))) (let ((_let_296 (ASSUME :args (_let_108)))) (let ((_let_297 (SYMM _let_296))) (let ((_let_298 (SYMM _let_297))) (let ((_let_299 (ASSUME :args (_let_130)))) (let ((_let_300 (SYMM _let_299))) (let ((_let_301 (REFL :args (_let_129)))) (let ((_let_302 (SYMM _let_262))) (let ((_let_303 (SYMM _let_237))) (let ((_let_304 (TRANS _let_231 _let_232 _let_223 _let_235 _let_303 (CONG _let_236 _let_302 :args _let_217)))) (let ((_let_305 (TRANS _let_240 _let_304))) (let ((_let_306 (TRANS (CONG _let_305 _let_301 :args _let_217) _let_300 _let_298 _let_295 _let_264 _let_245 _let_242 _let_237 _let_236 _let_222 _let_234 _let_230))) (let ((_let_307 (TRANS _let_306 _let_233))) (let ((_let_308 (CONG _let_307 _let_239 :args _let_217))) (let ((_let_309 (ASSUME :args (_let_141)))) (let ((_let_310 (ASSUME :args (_let_155)))) (let ((_let_311 (CONG (SYMM _let_293) _let_265 :args _let_217))) (let ((_let_312 (SYMM _let_242))) (let ((_let_313 (TRANS _let_231 _let_232 _let_223 _let_235 _let_303 _let_312 _let_244 _let_263 (CONG _let_226 _let_311 :args _let_217)))) (let ((_let_314 (TRANS (TRANS (CONG (TRANS _let_240 _let_313) (REFL :args (_let_154)) :args _let_217) (SYMM _let_310) (SYMM (SYMM _let_309)) (CONG _let_226 (TRANS (CONG (CONG _let_226 (TRANS _let_308 _let_219) :args _let_217) _let_238 :args _let_217) _let_262 _let_245 _let_242 _let_237 _let_236 _let_222 _let_234 _let_230) :args _let_217) _let_234 _let_230) _let_233))) (let ((_let_315 (ASSUME :args (_let_145)))) (let ((_let_316 (TRANS (SYMM (SYMM _let_315)) (CONG (SYMM _let_314) (REFL :args (_let_144)) :args _let_217) (CONG _let_314 (CONG (TRANS (CONG _let_261 (TRANS _let_260 (SYMM _let_259) _let_258 _let_252) :args _let_217) _let_250) (REFL :args (_let_143)) :args _let_217) :args _let_217)))) (let ((_let_317 (CONG _let_316 (REFL :args (_let_206)) :args _let_217))) (let ((_let_318 (ASSUME :args (_let_101)))) (let ((_let_319 (SYMM _let_318))) (let ((_let_320 (CONG _let_319 _let_272 :args _let_217))) (let ((_let_321 (REFL :args (_let_26)))) (let ((_let_322 (TRANS _let_269 (CONG _let_272 (SYMM _let_276) :args _let_217)))) (let ((_let_323 (ASSUME :args (_let_194)))) (let ((_let_324 (SYMM _let_323))) (let ((_let_325 (REFL :args (_let_193)))) (let ((_let_326 (REFL :args (_let_34)))) (let ((_let_327 (ASSUME :args (_let_22)))) (let ((_let_328 (ASSUME :args (_let_47)))) (let ((_let_329 (SYMM _let_328))) (let ((_let_330 (SYMM _let_322))) (let ((_let_331 (TRANS _let_330 _let_328))) (let ((_let_332 (CONG (TRANS (TRANS (CONG _let_331 _let_326 :args _let_217) (CONG (TRANS _let_329 (TRANS (SYMM (SYMM _let_327)) (CONG _let_272 (CONG (CONG _let_272 (TRANS (CONG _let_274 (REFL :args (_let_17)) :args _let_217) _let_274) :args _let_217) (REFL :args (_let_21)) :args _let_217) :args _let_217))) _let_326 :args _let_217) _let_288 _let_286 _let_270) _let_322) _let_325 :args _let_217))) (let ((_let_333 (REFL :args (_let_25)))) (let ((_let_334 (CONG (SYMM _let_305) _let_333 :args _let_217))) (let ((_let_335 (ASSUME :args (_let_190)))) (let ((_let_336 (SYMM _let_335))) (let ((_let_337 (CONG _let_336 (REFL :args (_let_189)) :args _let_217))) (let ((_let_338 (CONG _let_271 (TRANS _let_337 _let_336) :args _let_217))) (let ((_let_339 (ASSUME :args (_let_148)))) (let ((_let_340 (SYMM _let_339))) (let ((_let_341 (SYMM _let_241))) (let ((_let_342 (CONG _let_341 (REFL :args (_let_147)) :args _let_217))) (let ((_let_343 (REFL :args (_let_43)))) (let ((_let_344 (SYMM _let_331))) (let ((_let_345 (TRANS (CONG _let_283 (CONG _let_344 _let_321 :args _let_217) :args _let_217) _let_285 _let_278))) (let ((_let_346 (CONG (TRANS _let_345 _let_218) _let_343 :args _let_217))) (let ((_let_347 (SYMM _let_345))) (let ((_let_348 (CONG _let_226 (TRANS (CONG _let_347 _let_218 :args _let_217) _let_346) :args _let_217))) (let ((_let_349 (CONG _let_271 (CONG (TRANS (TRANS _let_262 _let_245 _let_242 _let_237 _let_236 _let_222 _let_234 _let_230) _let_233) (REFL :args (_let_1)) :args _let_217) :args _let_217))) (let ((_let_350 (ASSUME :args (_let_109)))) (let ((_let_351 (SYMM _let_350))) (let ((_let_352 (SYMM _let_351))) (let ((_let_353 (ASSUME :args (_let_153)))) (let ((_let_354 (REFL :args (_let_152)))) (let ((_let_355 (CONG (TRANS (TRANS (CONG _let_241 _let_354 :args _let_217) (SYMM _let_353)) (TRANS _let_352 (CONG _let_271 (CONG _let_349 _let_348 :args _let_217) :args _let_217))) _let_256 :args _let_217))) (let ((_let_356 (CONG _let_241 _let_355 :args _let_217))) (let ((_let_357 (ASSUME :args (_let_161)))) (let ((_let_358 (TRANS _let_340 _let_241))) (let ((_let_359 (TRANS _let_231 _let_232 _let_223 _let_235 _let_303 _let_312 _let_244 _let_302 (CONG _let_241 (TRANS _let_353 (CONG (TRANS _let_341 (TRANS _let_339 (SYMM _let_342))) _let_354 :args _let_217)) :args _let_217)))) (let ((_let_360 (TRANS _let_245 _let_242 _let_237 _let_236 _let_222 _let_234 _let_230))) (let ((_let_361 (CONG (TRANS _let_360 _let_359) (REFL :args (_let_158)) :args _let_217))) (let ((_let_362 (ASSUME :args (_let_135)))) (let ((_let_363 (SYMM _let_362))) (let ((_let_364 (CONG _let_363 _let_266 :args _let_217))) (let ((_let_365 (CONG _let_307 (REFL :args (_let_133)) :args _let_217))) (let ((_let_366 (ASSUME :args (_let_146)))) (let ((_let_367 (TRANS (SYMM _let_313) (SYMM _let_306)))) (let ((_let_368 (CONG _let_367 (TRANS (CONG _let_226 (CONG (CONG _let_226 (SYMM _let_364) :args _let_217) _let_265 :args _let_217) :args _let_217) (SYMM _let_366)) :args _let_217))) (let ((_let_369 (TRANS _let_306 _let_304))) (let ((_let_370 (CONG _let_369 _let_301 :args _let_217))) (let ((_let_371 (CONG (REFL :args (_let_121)) (CONG (TRANS (TRANS (CONG _let_367 _let_301 :args _let_217) _let_370 _let_300 _let_298 _let_295 _let_264 _let_245 _let_242 _let_237 _let_236 _let_222 _let_234 _let_230) _let_233) (REFL :args (_let_120)) :args _let_217) :args _let_217))) (let ((_let_372 (CONG _let_226 (TRANS (CONG (TRANS (SYMM _let_371) (TRANS _let_371 _let_368 _let_365 _let_363) _let_362) (TRANS _let_368 _let_365 _let_363) :args _let_217) _let_364) :args _let_217))) (let ((_let_373 (ASSUME :args (_let_123)))) (let ((_let_374 (TRANS (CONG _let_226 (TRANS (CONG _let_307 (REFL :args (_let_122)) :args _let_217) (SYMM _let_373) _let_291) :args _let_217) _let_294))) (let ((_let_375 (CONG _let_226 (TRANS (CONG (TRANS (TRANS (CONG _let_226 (TRANS (CONG _let_314 _let_266 :args _let_217) _let_268 _let_291) :args _let_217) _let_294) (SYMM _let_374)) (SYMM _let_372) :args _let_217) (CONG _let_374 _let_372 :args _let_217) (SYMM _let_311)) :args _let_217))) (let ((_let_376 (ASSUME :args (_let_156)))) (let ((_let_377 (SYMM (SYMM _let_376)))) (let ((_let_378 (ASSUME :args (_let_180)))) (let ((_let_379 (SYMM _let_378))) (let ((_let_380 (REFL :args (_let_179)))) (let ((_let_381 (REFL :args (_let_82)))) (let ((_let_382 (SYMM _let_248))) (let ((_let_383 (TRANS (SYMM _let_304) _let_382))) (let ((_let_384 (TRANS (CONG _let_383 _let_381 :args _let_217) (CONG _let_249 _let_381 :args _let_217) _let_247 _let_245 _let_242 _let_237 _let_236 _let_222 _let_234 _let_230))) (let ((_let_385 (CONG (TRANS _let_384 _let_233) (REFL :args (_let_86)) :args _let_217))) (let ((_let_386 (SYMM _let_295))) (let ((_let_387 (TRANS _let_231 _let_232 _let_223 _let_235 _let_303 _let_312 _let_244 _let_263 _let_386 _let_297 _let_299 (SYMM _let_370) (CONG _let_369 (CONG (CONG (REFL :args (_let_89)) _let_385 :args _let_217) (REFL :args (_let_128)) :args _let_217) :args _let_217)))) (let ((_let_388 (TRANS (CONG (TRANS _let_240 _let_387) _let_380 :args _let_217) _let_379 _let_377 _let_375 _let_264 _let_245 _let_242 _let_237 _let_236 _let_222 _let_234 _let_230))) (let ((_let_389 (TRANS (TRANS (CONG (TRANS (SYMM _let_359) (SYMM _let_388)) _let_380 :args _let_217) (CONG (TRANS _let_388 _let_387) _let_380 :args _let_217) _let_379 _let_377 _let_375 _let_264 _let_245 _let_242 _let_237 _let_236 _let_222 _let_234 _let_230) _let_233))) (let ((_let_390 (REFL :args (_let_117)))) (let ((_let_391 (ASSUME :args (_let_127)))) (let ((_let_392 (SYMM _let_391))) (let ((_let_393 (SYMM _let_257))) (let ((_let_394 (CONG _let_226 _let_393 :args _let_217))) (let ((_let_395 (CONG _let_394 _let_238 :args _let_217))) (let ((_let_396 (CONG _let_226 _let_395 :args _let_217))) (let ((_let_397 (ASSUME :args (_let_116)))) (let ((_let_398 (SYMM _let_397))) (let ((_let_399 (SYMM _let_398))) (let ((_let_400 (TRANS _let_399 _let_396))) (let ((_let_401 (CONG _let_400 _let_400 :args _let_217))) (let ((_let_402 (CONG _let_226 _let_401 :args _let_217))) (let ((_let_403 (TRANS _let_402 _let_392))) (let ((_let_404 (SYMM _let_401))) (let ((_let_405 (SYMM _let_258))) (let ((_let_406 (TRANS _let_251 _let_405))) (let ((_let_407 (CONG (TRANS _let_406 (SYMM _let_394)) _let_406 :args _let_217))) (let ((_let_408 (CONG _let_226 (TRANS _let_407 _let_395) :args _let_217))) (let ((_let_409 (CONG _let_226 (TRANS (CONG _let_408 _let_400 :args _let_217) _let_404) :args _let_217))) (let ((_let_410 (TRANS _let_409 _let_402 _let_392))) (let ((_let_411 (CONG _let_410 _let_403 :args _let_217))) (let ((_let_412 (CONG (CONG _let_226 (TRANS (CONG (SYMM _let_409) (SYMM _let_403) :args _let_217) _let_411) :args _let_217) _let_390 :args _let_217))) (let ((_let_413 (CONG _let_226 _let_411 :args _let_217))) (let ((_let_414 (ASSUME :args (_let_151)))) (let ((_let_415 (SYMM _let_414))) (let ((_let_416 (TRANS (SYMM _let_395) (SYMM _let_407) (SYMM _let_415) _let_413))) (let ((_let_417 (SYMM _let_413))) (let ((_let_418 (TRANS (CONG _let_341 (CONG (TRANS _let_360 _let_233) (REFL :args (_let_49)) :args _let_217) :args _let_217) _let_262 _let_245 _let_242 _let_237 _let_236 _let_222 _let_234 _let_230))) (let ((_let_419 (CONG (TRANS _let_418 (SYMM _let_384)) (SYMM _let_416) :args _let_217))) (let ((_let_420 (TRANS _let_419 _let_385))) (let ((_let_421 (CONG _let_226 (TRANS (CONG _let_420 _let_420 :args _let_217) _let_404) :args _let_217))) (let ((_let_422 (TRANS (CONG _let_226 (TRANS (CONG (TRANS (TRANS _let_421 _let_402 _let_392) (SYMM _let_410)) _let_421 :args _let_217) _let_411) :args _let_217) _let_417 _let_415 _let_407 _let_395))) (let ((_let_423 (ASSUME :args (_let_175)))) (let ((_let_424 (TRANS _let_388 _let_233))) (let ((_let_425 (ASSUME :args (_let_165)))) (let ((_let_426 (CONG (TRANS (TRANS (CONG (SYMM _let_424) (CONG (TRANS (SYMM _let_425) _let_316) (REFL :args (_let_172)) :args _let_217) :args _let_217) (CONG _let_424 (REFL :args (_let_174)) :args _let_217) (SYMM _let_423) _let_251 _let_405) (TRANS _let_259 (SYMM _let_260) (CONG _let_241 (CONG (TRANS _let_418 (SYMM _let_360)) _let_390 :args _let_217) :args _let_217))) (TRANS (CONG _let_226 (TRANS (CONG _let_422 _let_422 :args _let_217) (CONG _let_416 _let_416 :args _let_217) (SYMM _let_412)) :args _let_217) (CONG _let_226 _let_412 :args _let_217)) :args _let_217))) (let ((_let_427 (ASSUME :args (_let_211)))) (let ((_let_428 (SYMM _let_427))) (let ((_let_429 (ASSUME :args (_let_210)))) (let ((_let_430 (ASSUME :args (_let_183)))) (let ((_let_431 (SYMM _let_402))) (let ((_let_432 (ASSUME :args (_let_91)))) (let ((_let_433 (SYMM _let_383))) (let ((_let_434 (TRANS (CONG _let_261 (CONG _let_433 (REFL :args (_let_87)) :args _let_217) :args _let_217) (CONG _let_249 (REFL :args (_let_90)) :args _let_217) (SYMM _let_432)))) (let ((_let_435 (ASSUME :args (_let_115)))) (let ((_let_436 (SYMM _let_419))) (let ((_let_437 (SYMM _let_385))) (let ((_let_438 (CONG (TRANS _let_418 _let_233) (TRANS _let_417 _let_415 _let_407 (CONG (TRANS _let_394 (CONG _let_226 (TRANS _let_257 (CONG (TRANS _let_254 (TRANS _let_255 (CONG _let_226 (TRANS _let_399 _let_396 _let_437 _let_436 (CONG (TRANS _let_418 (TRANS _let_231 _let_232 _let_223 _let_235 _let_303 _let_312 _let_244 _let_263 _let_386 _let_297 (SYMM (SYMM _let_435)) (CONG _let_226 (TRANS (CONG (TRANS (TRANS (CONG _let_226 (TRANS (CONG _let_249 (REFL :args (_let_102)) :args _let_217) _let_254) :args _let_217) _let_219) (SYMM _let_434)) _let_402 :args _let_217) (CONG (TRANS _let_434 _let_425) _let_431 :args _let_217)) :args _let_217))) (CONG _let_226 (TRANS (SYMM _let_411) (CONG _let_409 (REFL :args (_let_114)) :args _let_217)) :args _let_217) :args _let_217)) :args _let_217) (SYMM _let_430) (SYMM (SYMM _let_429)))) _let_239 :args _let_217)) :args _let_217)) _let_238 :args _let_217)) :args _let_217))) (let ((_let_439 (TRANS _let_437 _let_436 _let_438 _let_428))) (let ((_let_440 (CONG _let_271 (TRANS (CONG (TRANS _let_356 _let_342 _let_340) _let_405 :args _let_217) (CONG _let_241 (TRANS (CONG (TRANS _let_240 _let_359) (TRANS _let_391 _let_431 (CONG _let_226 (TRANS _let_401 (CONG _let_439 _let_439 :args _let_217)) :args _let_217) (CONG (SYMM _let_389) (CONG _let_426 _let_426 :args _let_217) :args _let_217)) :args _let_217) (CONG (REFL :args (_let_159)) (CONG _let_389 (REFL :args (_let_157)) :args _let_217) :args _let_217) (SYMM _let_361)) :args _let_217) (CONG (SYMM _let_358) _let_361 :args _let_217) (CONG _let_358 (REFL :args (_let_160)) :args _let_217) (SYMM _let_357) (SYMM _let_355)) :args _let_217))) (let ((_let_441 (ASSUME :args (_let_176)))) (let ((_let_442 (SYMM (SYMM _let_441)))) (let ((_let_443 (ASSUME :args (_let_70)))) (let ((_let_444 (CONG (TRANS _let_349 _let_443) _let_348 :args _let_217))) (let ((_let_445 (CONG _let_271 (TRANS _let_444 _let_399 _let_396 _let_437 _let_436 _let_438 _let_428 _let_426 _let_442 _let_440 _let_356 _let_342 _let_340 _let_335 (SYMM _let_337)) :args _let_217))) (let ((_let_446 (CONG _let_433 (TRANS _let_251 _let_405 _let_352 _let_445 _let_338) :args _let_217))) (let ((_let_447 (SYMM _let_250))) (let ((_let_448 (ASSUME :args (_let_205)))) (let ((_let_449 (SYMM _let_448))) (let ((_let_450 (REFL :args (_let_204)))) (let ((_let_451 (CONG _let_345 _let_343 :args _let_217))) (let ((_let_452 (CONG _let_272 _let_451 :args _let_217))) (let ((_let_453 (ASSUME :args (_let_67)))) (let ((_let_454 (SYMM _let_453))) (let ((_let_455 (SYMM _let_454))) (let ((_let_456 (TRANS _let_455 _let_452))) (let ((_let_457 (ASSUME :args (_let_63)))) (let ((_let_458 (TRANS (SYMM _let_457) _let_288 _let_286 _let_270))) (let ((_let_459 (CONG _let_272 (CONG (TRANS (CONG _let_272 (TRANS (CONG (TRANS _let_458 _let_322) _let_321 :args _let_217) _let_281 _let_279 _let_274) :args _let_217) _let_347) _let_343 :args _let_217) :args _let_217))) (let ((_let_460 (ASSUME :args (_let_74)))) (let ((_let_461 (SYMM _let_460))) (let ((_let_462 (SYMM _let_461))) (let ((_let_463 (REFL :args (_let_60)))) (let ((_let_464 (REFL :args (_let_32)))) (let ((_let_465 (CONG (TRANS (TRANS (CONG _let_272 (TRANS (CONG _let_274 (REFL :args (_let_23)) :args _let_217) _let_270) :args _let_217) _let_274) _let_283) _let_464 :args _let_217))) (let ((_let_466 (ASSUME :args (_let_33)))) (let ((_let_467 (SYMM _let_466))) (let ((_let_468 (TRANS (CONG _let_272 (TRANS (CONG (TRANS _let_319 _let_283) _let_464 :args _let_217) (SYMM _let_465)) :args _let_217) _let_467))) (let ((_let_469 (CONG (TRANS (TRANS (CONG (TRANS _let_329 (SYMM _let_468)) _let_463 :args _let_217) (CONG (TRANS _let_468 (TRANS (SYMM _let_467) (CONG _let_272 _let_465 :args _let_217))) _let_463 :args _let_217) _let_462 _let_459 _let_454) _let_456) _let_450 :args _let_217))) (let ((_let_470 (ASSUME :args (_let_140)))) (let ((_let_471 (ASSUME :args (_let_73)))) (let ((_let_472 (SYMM _let_471))) (let ((_let_473 (SYMM _let_472))) (let ((_let_474 (CONG _let_274 (REFL :args (_let_71)) :args _let_217))) (let ((_let_475 (REFL :args (_let_69)))) (let ((_let_476 (TRANS (CONG _let_275 (CONG (TRANS _let_458 _let_328) _let_475 :args _let_217) :args _let_217) _let_474 _let_472))) (let ((_let_477 (CONG _let_318 (REFL :args (_let_105)) :args _let_217))) (let ((_let_478 (ASSUME :args (_let_106)))) (let ((_let_479 (SYMM _let_478))) (let ((_let_480 (SYMM _let_459))) (let ((_let_481 (TRANS _let_455 _let_480 _let_461 (SYMM _let_479) _let_477 (CONG _let_319 (CONG (TRANS _let_476 _let_473) _let_256 :args _let_217) :args _let_217)))) (let ((_let_482 (ASSUME :args (_let_169)))) (let ((_let_483 (ASSUME :args (_let_181)))) (let ((_let_484 (ASSUME :args (_let_182)))) (let ((_let_485 (REFL :args (_let_110)))) (let ((_let_486 (ASSUME :args (_let_126)))) (let ((_let_487 (TRANS (CONG _let_274 (REFL :args (_let_125)) :args _let_217) (SYMM _let_486)))) (let ((_let_488 (TRANS _let_284 _let_275))) (let ((_let_489 (CONG _let_488 _let_321 :args _let_217))) (let ((_let_490 (ASSUME :args (_let_77)))) (let ((_let_491 (ASSUME :args (_let_97)))) (let ((_let_492 (SYMM _let_488))) (let ((_let_493 (TRANS (CONG _let_492 (TRANS (CONG (TRANS (CONG _let_274 (REFL :args (_let_95)) :args _let_217) (SYMM _let_491)) (REFL :args (_let_76)) :args _let_217) (SYMM _let_490)) :args _let_217) _let_489))) (let ((_let_494 (REFL :args (_let_18)))) (let ((_let_495 (ASSUME :args (_let_111)))) (let ((_let_496 (SYMM _let_495))) (let ((_let_497 (ASSUME :args (_let_112)))) (let ((_let_498 (REFL :args (_let_56)))) (let ((_let_499 (ASSUME :args (_let_31)))) (let ((_let_500 (CONG _let_275 (REFL :args (_let_27)) :args _let_217))) (let ((_let_501 (ASSUME :args (_let_29)))) (let ((_let_502 (SYMM _let_501))) (let ((_let_503 (SYMM _let_502))) (let ((_let_504 (TRANS (CONG _let_272 (CONG (CONG _let_272 (TRANS _let_503 _let_500) :args _let_217) (REFL :args (_let_30)) :args _let_217) :args _let_217) (SYMM _let_499)))) (let ((_let_505 (ASSUME :args (_let_85)))) (let ((_let_506 (ASSUME :args (_let_59)))) (let ((_let_507 (SYMM _let_506))) (let ((_let_508 (TRANS (CONG _let_275 _let_489 :args _let_217) (SYMM _let_500)))) (let ((_let_509 (CONG _let_272 (CONG (TRANS (TRANS (CONG _let_275 (CONG (TRANS _let_458 (SYMM _let_504)) _let_498 :args _let_217) :args _let_217) (CONG _let_274 (REFL :args (_let_57)) :args _let_217) _let_507 _let_503) (TRANS _let_500 (CONG _let_274 (TRANS _let_473 (SYMM _let_474) (CONG _let_274 (CONG (CONG _let_272 (TRANS (CONG (SYMM _let_508) _let_343 :args _let_217) (CONG (TRANS _let_508 (TRANS _let_502 (SYMM _let_507))) _let_343 :args _let_217)) :args _let_217) _let_475 :args _let_217) :args _let_217) (SYMM _let_505) (CONG (TRANS _let_504 _let_491) _let_498 :args _let_217)) :args _let_217))) (REFL :args (_let_92)) :args _let_217) :args _let_217))) (let ((_let_510 (ASSUME :args (_let_93)))) (let ((_let_511 (SYMM _let_510))) (let ((_let_512 (ASSUME :args (_let_132)))) (let ((_let_513 (SYMM _let_512))) (let ((_let_514 (CONG _let_274 (REFL :args (_let_131)) :args _let_217))) (let ((_let_515 (ASSUME :args (_let_150)))) (let ((_let_516 (CONG (TRANS _let_274 _let_318) (TRANS (SYMM (SYMM _let_515)) (CONG _let_494 (CONG (TRANS (TRANS (CONG _let_494 (CONG (TRANS (TRANS _let_514 _let_513) (SYMM _let_493)) _let_485 :args _let_217) :args _let_217) _let_496 _let_497 (SYMM _let_509) _let_511 _let_462 _let_459 _let_454) (TRANS _let_455 _let_480 _let_461 (SYMM _let_511) _let_509 (SYMM _let_497) (SYMM _let_496) (CONG _let_494 (TRANS (CONG (TRANS _let_493 (SYMM _let_487)) _let_485 :args _let_217) (CONG (TRANS _let_487 (TRANS _let_482 (CONG _let_275 (REFL :args (_let_167)) :args _let_217))) _let_485 :args _let_217)) :args _let_217))) (REFL :args (_let_149)) :args _let_217) :args _let_217) (SYMM _let_484) (SYMM (SYMM _let_483)) (CONG _let_275 (CONG (TRANS (TRANS (CONG _let_318 (CONG (TRANS (SYMM _let_482) (SYMM _let_476)) _let_256 :args _let_217) :args _let_217) (SYMM _let_477) _let_479 _let_462 _let_459 _let_454) _let_481) (REFL :args (_let_136)) :args _let_217) :args _let_217) (CONG _let_274 (REFL :args (_let_138)) :args _let_217) (SYMM _let_470) (CONG (REFL :args (_let_46)) (TRANS _let_448 (SYMM _let_469)) :args _let_217) (CONG _let_344 (TRANS _let_469 _let_449 _let_447 _let_446 _let_334 _let_323 (SYMM _let_332)) :args _let_217) (CONG _let_330 (TRANS _let_332 _let_324) :args _let_217) (CONG _let_322 _let_321 :args _let_217) _let_281 _let_279 _let_274) :args _let_217))) (let ((_let_517 (ASSUME :args (_let_187)))) (let ((_let_518 (CONG (TRANS (TRANS (CONG _let_274 (REFL :args (_let_186)) :args _let_217) (SYMM _let_517)) _let_322) _let_325 :args _let_217))) (let ((_let_519 (CONG _let_492 (TRANS _let_518 _let_324) :args _let_217))) (let ((_let_520 (CONG _let_275 (TRANS (SYMM _let_451) _let_346 _let_251 _let_405 _let_352 _let_445 _let_338 _let_443 _let_447 _let_446 _let_334 _let_323 (SYMM _let_518)) :args _let_217))) (let ((_let_521 (ASSUME :args (_let_107)))) (let ((_let_522 (ASSUME :args (_let_198)))) (let ((_let_523 (CONG (TRANS (TRANS (CONG (SYMM _let_456) (REFL :args (_let_197)) :args _let_217) (SYMM _let_522)) _let_456) _let_450 :args _let_217))) (let ((_let_524 (ASSUME :args (_let_171)))) (let ((_let_525 (SYMM _let_524))) (let ((_let_526 (CONG _let_525 (REFL :args (_let_170)) :args _let_217))) (let ((_let_527 (CONG _let_321 (TRANS _let_526 _let_525) :args _let_217))) (let ((_let_528 (TRANS _let_399 _let_396 _let_437 _let_436 _let_438 _let_428 _let_426 _let_442 _let_440 _let_356 _let_342 _let_340 _let_241))) (let ((_let_529 (TRANS (CONG (CONG _let_226 (TRANS _let_443 (CONG _let_235 _let_221 :args _let_217)) :args _let_217) (REFL :args (_let_81)) :args _let_217) _let_298 _let_295 _let_264 _let_245 _let_242 _let_237 _let_236 _let_222 _let_234 _let_230))) (let ((_let_530 (TRANS _let_240 (SYMM _let_529)))) (let ((_let_531 (CONG _let_321 (TRANS _let_391 _let_431 (CONG _let_530 (REFL :args (_let_113)) :args _let_217) (CONG (TRANS _let_529 _let_382) (TRANS _let_401 (CONG (TRANS (SYMM _let_400) _let_528 _let_341) (TRANS (SYMM _let_396) _let_398 (SYMM _let_444)) :args _let_217) _let_351 _let_258 _let_252) :args _let_217) _let_446 _let_334 _let_524 (SYMM _let_526)) :args _let_217))) (let ((_let_532 (CONG _let_321 (TRANS (CONG (TRANS (CONG _let_321 (CONG (SYMM _let_530) _let_333 :args _let_217) :args _let_217) _let_255) (TRANS (CONG _let_226 (TRANS (CONG (SYMM _let_349) (TRANS _let_443 (SYMM _let_348)) :args _let_217) _let_444) :args _let_217) _let_254) :args _let_217) _let_393) :args _let_217))) (let ((_let_533 (ASSUME :args (_let_142)))) (let ((_let_534 (SYMM (SYMM _let_533)))) (let ((_let_535 (SYMM _let_408))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_216)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_427 _let_220 _let_448 _let_323 _let_335 _let_517 _let_483 _let_441 _let_423 _let_524 _let_376 _let_432 _let_457 _let_505 _let_506 _let_353 _let_263 _let_310 _let_490 _let_443 _let_287 _let_283 _let_229 _let_484 _let_296 _let_243 _let_273 _let_225 _let_373 _let_267 _let_482 _let_315 _let_327 _let_429 _let_218 _let_495 _let_460 _let_269 _let_453 _let_328 _let_251 _let_280 _let_246 _let_277 _let_510 _let_497 _let_366 _let_491 _let_222 _let_318 _let_253 _let_357 _let_470 _let_414 _let_478 _let_425 _let_435 _let_501 _let_521 _let_471 _let_350 _let_378 _let_235 _let_391 _let_515 _let_466 _let_259 _let_339 _let_397 _let_499 _let_309 _let_512 _let_430 _let_486 _let_299 _let_362 _let_522 _let_533) (SCOPE (TRANS _let_235 _let_303 _let_312 _let_244 (CONG (TRANS (SYMM _let_528) (TRANS _let_399 _let_396 _let_535 _let_534 _let_532 _let_531 _let_527 _let_255 (CONG (SYMM _let_307) (TRANS _let_399 _let_396 _let_535 _let_534 _let_532 _let_531 _let_527) :args _let_217) _let_308 _let_219 (SYMM _let_320) (SYMM _let_516) _let_514 _let_513 (SYMM _let_489) (SYMM _let_519) (SYMM _let_520) (SYMM _let_452) _let_454) _let_481) _let_258 :args _let_217) (CONG (TRANS (SYMM _let_481) _let_456) (TRANS _let_405 _let_352 _let_445 _let_338 _let_443 _let_448 (SYMM _let_523)) :args _let_217) (CONG (REFL :args (_let_98)) (TRANS _let_523 _let_449) :args _let_217) (SYMM (SYMM _let_521)) (CONG _let_272 (TRANS (CONG (CONG _let_272 _let_320 :args _let_217) _let_271 :args _let_217) _let_276) :args _let_217) _let_270 _let_328 (CONG _let_272 (TRANS _let_455 _let_452 _let_520 _let_519 _let_489 _let_512 (SYMM _let_514) _let_516 _let_320 _let_218 _let_220 (SYMM _let_317)) :args _let_217) (CONG _let_272 (TRANS _let_317 (SYMM _let_220) _let_219) :args _let_217)) :args (_let_211 _let_207 _let_205 _let_194 _let_190 _let_187 _let_181 _let_176 _let_175 _let_171 _let_156 _let_91 _let_63 _let_85 _let_59 _let_153 _let_79 _let_155 _let_77 _let_70 _let_48 _let_37 _let_12 _let_182 _let_108 _let_75 _let_19 _let_13 _let_123 _let_66 _let_169 _let_145 _let_22 _let_210 _let_44 _let_111 _let_74 _let_24 _let_67 _let_47 _let_137 _let_55 _let_84 _let_41 _let_93 _let_112 _let_146 _let_97 _let_11 _let_101 _let_104 _let_161 _let_140 _let_151 _let_106 _let_165 _let_115 _let_29 _let_107 _let_73 _let_109 _let_180 _let_54 _let_127 _let_150 _let_33 _let_119 _let_148 _let_116 _let_31 _let_141 _let_132 _let_183 _let_126 _let_130 _let_135 _let_198 _let_142))) :args (_let_11 _let_12 _let_13 _let_19 _let_22 _let_24 _let_29 _let_31 _let_33 _let_37 _let_41 _let_44 _let_47 _let_48 _let_54 _let_55 _let_59 _let_63 _let_66 _let_67 _let_70 _let_73 _let_74 _let_75 _let_77 _let_79 _let_84 _let_85 _let_91 _let_93 _let_97 _let_101 _let_104 _let_106 _let_107 _let_108 _let_109 _let_111 _let_112 _let_115 _let_116 _let_119 _let_123 _let_126 _let_127 _let_130 _let_132 _let_135 _let_137 _let_140 _let_141 _let_142 _let_145 _let_146 _let_148 _let_150 _let_151 _let_153 _let_155 _let_156 _let_161 _let_165 _let_169 _let_171 _let_175 _let_176 _let_180 _let_181 _let_182 _let_183 _let_187 _let_190 _let_194 _let_198 _let_205 _let_207 _let_210 _let_211))) :args (true _let_216)) :args ((or _let_5 (not _let_11) (not _let_12) (not _let_13) (not _let_19) (not _let_22) (not _let_24) (not _let_29) (not _let_31) (not _let_33) (not _let_37) (not _let_41) (not _let_44) (not _let_47) (not _let_48) (not _let_54) (not _let_55) (not _let_59) (not _let_63) (not _let_66) (not _let_67) (not _let_70) (not _let_73) (not _let_74) (not _let_75) (not _let_77) (not _let_79) (not _let_84) (not _let_85) (not _let_91) (not _let_93) (not _let_97) (not _let_101) (not _let_104) (not _let_106) (not _let_107) (not _let_108) (not _let_109) (not _let_111) (not _let_112) (not _let_115) (not _let_116) (not _let_119) (not _let_123) (not _let_126) (not _let_127) (not _let_130) (not _let_132) (not _let_135) (not _let_137) (not _let_140) (not _let_141) (not _let_142) (not _let_145) (not _let_146) (not _let_148) (not _let_150) (not _let_151) (not _let_153) (not _let_155) (not _let_156) (not _let_161) (not _let_165) (not _let_169) (not _let_171) (not _let_175) (not _let_176) (not _let_180) (not _let_181) (not _let_182) (not _let_183) (not _let_187) (not _let_190) (not _let_194) (not _let_198) (not _let_205) (not _let_207) (not _let_210) (not _let_211)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_208 _let_42 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_211 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_163 _let_172 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_210 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_173 _let_43 _let_68 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_207 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_98 _let_69 _let_203 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_205 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_45 _let_45 _let_196 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_198 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_38 _let_26 _let_192 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_194 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_14 _let_14 _let_188 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_190 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_17 _let_185 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_187 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_163 _let_114 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_183 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_18 _let_167 _let_110 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_182 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_167 _let_103 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_181 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_178 _let_154 _let_177 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_180 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_14 _let_152 _let_103 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_176 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_68 _let_143 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_175 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_26 _let_26 _let_42 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_171 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_27 _let_166 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_169 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_1 _let_152 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_165 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_51 _let_147 _let_152 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_161 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_154 _let_64 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_156 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_121 _let_129 _let_120 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_155 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_51 _let_50 _let_117 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_153 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_80 _let_102 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_151 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_18 _let_131 _let_110 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_150 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_14 _let_14 _let_69 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_148 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_133 _let_64 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_146 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_1 _let_118 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_145 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_26 _let_81 _let_25 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_142 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_129 _let_42 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_141 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_71 _let_103 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_140 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_68 _let_69 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_137 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_64 _let_65 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_135 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_27 _let_92 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_132 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_89 _let_82 _let_86 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_130 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_49 _let_50 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_127 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_27 _let_124 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_126 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_20 _let_78 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_123 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_51 _let_50 _let_49 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_119 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_102 _let_42 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_116 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_82 _let_102 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_115 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_95 _let_56 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_112 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_18 _let_95 _let_76 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_111 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_14 _let_50 _let_1 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_109 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_82 _let_64 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_108 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_99 tptp.a QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_107 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_61 _let_69 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_106 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_42 _let_43 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_104 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a tptp.a _let_43 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_101 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_17 _let_65 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_97 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_61 _let_56 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_93 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_1 _let_50 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_91 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_57 _let_43 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_85 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_52 _let_68 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_84 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_52 _let_64 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_79 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (_let_17 _let_26 _let_61 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_77 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_52 _let_42 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_75 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_61 _let_26 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_74 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_27 _let_43 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_73 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_25 _let_26 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_70 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_45 _let_26 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_67 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_20 _let_21 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_66 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_35 _let_32 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_63 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_15 _let_30 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_59 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_39 tptp.a QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_55 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity tptp.identity _let_42 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_54 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_35 _let_39 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_48 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_17 _let_26 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_47 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_1 _let_14 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_44 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_1 _let_14 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_41 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a tptp.a _let_21 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_37 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_17 _let_23 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_33 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_17 _let_27 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_31 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_15 _let_14 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_29 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_17 tptp.a QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_24 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a _let_17 _let_17 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_22 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.a tptp.a tptp.a QUANTIFIERS_INST_ENUM)) :args _let_214)) _let_213 :args (_let_19 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_8 _let_7 QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_13 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity _let_9 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_215)) :args _let_214)) _let_213 :args (_let_12 false _let_212)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args (tptp.identity tptp.identity tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_214)) _let_213 :args (_let_11 false _let_212)) (SYMM (ASSUME :args (_let_3))) :args (false false _let_211 false _let_210 false _let_207 false _let_205 false _let_198 false _let_194 false _let_190 false _let_187 false _let_183 false _let_182 false _let_181 false _let_180 false _let_176 false _let_175 false _let_171 false _let_169 false _let_165 false _let_161 false _let_156 false _let_155 false _let_153 false _let_151 false _let_150 false _let_148 false _let_146 false _let_145 false _let_142 false _let_141 false _let_140 false _let_137 false _let_135 false _let_132 false _let_130 false _let_127 false _let_126 false _let_123 false _let_119 false _let_116 false _let_115 false _let_112 false _let_111 false _let_109 false _let_108 false _let_107 false _let_106 false _let_104 false _let_101 false _let_97 false _let_93 false _let_91 false _let_85 false _let_84 false _let_79 false _let_77 false _let_75 false _let_74 false _let_73 false _let_70 false _let_67 false _let_66 false _let_63 false _let_59 false _let_55 false _let_54 false _let_48 false _let_47 false _let_44 false _let_41 false _let_37 false _let_33 false _let_31 false _let_29 false _let_24 false _let_22 false _let_19 false _let_13 false _let_12 false _let_11 true _let_5)) :args (_let_4 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.61/0.79  )
% 0.61/0.80  % SZS output end Proof for GRP115-1
% 0.61/0.80  % cvc5---1.0.5 exiting
% 0.61/0.80  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------