TSTP Solution File: GRP223-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP223-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 00:25:14 EDT 2023

% Result   : Unsatisfiable 1.16s 1.39s
% Output   : Proof 1.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : GRP223-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 29 01:32:04 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.9G3oxyqVPp/cvc5---1.0.5_17015.p...
% 0.22/0.52  ------- get file name : TPTP file name is GRP223-1
% 0.22/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17015.smt2...
% 0.22/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.16/1.39  % SZS status Unsatisfiable for GRP223-1
% 1.16/1.39  % SZS output start Proof for GRP223-1
% 1.16/1.42  (
% 1.16/1.42  (let ((_let_1 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X2 $$unsorted) (X1 $$unsorted) (X3 $$unsorted) (X7 $$unsorted)) (or (not (= (tptp.inverse X4) tptp.sk_c9)) (not (= (tptp.multiply X4 tptp.sk_c8) tptp.sk_c9)) (not (= (tptp.multiply tptp.sk_c9 X5) tptp.sk_c8)) (not (= (tptp.multiply X6 tptp.sk_c9) X5)) (not (= (tptp.inverse X6) tptp.sk_c9)) (not (= (tptp.multiply X2 X1) tptp.sk_c9)) (not (= (tptp.inverse X2) X1)) (not (= (tptp.multiply X1 tptp.sk_c8) tptp.sk_c9)) (not (= (tptp.multiply tptp.sk_c9 X3) tptp.sk_c8)) (not (= (tptp.multiply X7 tptp.sk_c9) X3)) (not (= (tptp.inverse X7) tptp.sk_c9)))))) (let ((_let_2 (tptp.inverse tptp.sk_c6))) (let ((_let_3 (= _let_2 tptp.sk_c9))) (let ((_let_4 (tptp.inverse tptp.sk_c2))) (let ((_let_5 (= _let_4 tptp.sk_c9))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.multiply tptp.sk_c6 tptp.sk_c9))) (let ((_let_8 (= _let_7 tptp.sk_c7))) (let ((_let_9 (or _let_5 _let_8))) (let ((_let_10 (tptp.multiply tptp.sk_c9 tptp.sk_c7))) (let ((_let_11 (= _let_10 tptp.sk_c8))) (let ((_let_12 (or _let_5 _let_11))) (let ((_let_13 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (let ((_let_14 (= _let_13 tptp.sk_c9))) (let ((_let_15 (or _let_5 _let_14))) (let ((_let_16 (tptp.inverse tptp.sk_c4))) (let ((_let_17 (= _let_16 tptp.sk_c5))) (let ((_let_18 (or _let_5 _let_17))) (let ((_let_19 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (let ((_let_20 (= _let_19 tptp.sk_c9))) (let ((_let_21 (or _let_5 _let_20))) (let ((_let_22 (tptp.multiply tptp.sk_c2 tptp.sk_c9))) (let ((_let_23 (= _let_22 tptp.sk_c3))) (let ((_let_24 (or _let_23 _let_3))) (let ((_let_25 (or _let_23 _let_8))) (let ((_let_26 (or _let_23 _let_11))) (let ((_let_27 (or _let_23 _let_14))) (let ((_let_28 (or _let_23 _let_17))) (let ((_let_29 (or _let_23 _let_20))) (let ((_let_30 (tptp.multiply tptp.sk_c9 tptp.sk_c3))) (let ((_let_31 (= _let_30 tptp.sk_c8))) (let ((_let_32 (or _let_31 _let_3))) (let ((_let_33 (or _let_31 _let_8))) (let ((_let_34 (or _let_31 _let_11))) (let ((_let_35 (or _let_31 _let_14))) (let ((_let_36 (or _let_31 _let_17))) (let ((_let_37 (or _let_31 _let_20))) (let ((_let_38 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (let ((_let_39 (= _let_38 tptp.sk_c9))) (let ((_let_40 (or _let_39 _let_3))) (let ((_let_41 (or _let_39 _let_8))) (let ((_let_42 (or _let_39 _let_11))) (let ((_let_43 (or _let_39 _let_14))) (let ((_let_44 (or _let_39 _let_17))) (let ((_let_45 (or _let_39 _let_20))) (let ((_let_46 (tptp.inverse tptp.sk_c1))) (let ((_let_47 (= _let_46 tptp.sk_c9))) (let ((_let_48 (or _let_47 _let_3))) (let ((_let_49 (or _let_47 _let_8))) (let ((_let_50 (or _let_47 _let_11))) (let ((_let_51 (or _let_47 _let_14))) (let ((_let_52 (or _let_47 _let_17))) (let ((_let_53 (or _let_47 _let_20))) (let ((_let_54 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_55 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_56 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_57 (= tptp.sk_c9 _let_2))) (let ((_let_58 (not _let_57))) (let ((_let_59 (tptp.multiply tptp.sk_c9 _let_7))) (let ((_let_60 (= tptp.sk_c8 _let_59))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_58))) (let ((_let_63 (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X6 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X6))))))) (let ((_let_64 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_65 (= tptp.sk_c9 _let_64))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c9))) (let ((_let_68 (tptp.multiply tptp.sk_c9 _let_67))) (let ((_let_69 (= tptp.sk_c8 _let_68))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_66))) (let ((_let_72 (= tptp.sk_c9 _let_13))) (let ((_let_73 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_74 (tptp.inverse _let_73))) (let ((_let_75 (= tptp.sk_c9 _let_74))) (let ((_let_76 (= tptp.sk_c8 _let_30))) (let ((_let_77 (= tptp.sk_c9 _let_19))) (let ((_let_78 (= tptp.sk_c5 _let_16))) (let ((_let_79 (= tptp.sk_c8 _let_10))) (let ((_let_80 (= tptp.sk_c7 _let_7))) (let ((_let_81 (= tptp.sk_c9 (tptp.multiply _let_16 tptp.sk_c8)))) (let ((_let_82 (not _let_81))) (let ((_let_83 (= tptp.sk_c9 (tptp.multiply tptp.sk_c4 _let_16)))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_84 _let_82))) (let ((_let_86 (forall ((X2 $$unsorted)) (let ((_let_1 (tptp.inverse X2))) (or (not (= tptp.sk_c9 (tptp.multiply X2 _let_1))) (not (= tptp.sk_c9 (tptp.multiply _let_1 tptp.sk_c8)))))))) (let ((_let_87 (tptp.multiply _let_73 tptp.sk_c8))) (let ((_let_88 (= tptp.sk_c9 _let_87))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_73))) (let ((_let_91 (= tptp.sk_c9 _let_90))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_89))) (let ((_let_94 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c9 (tptp.inverse X4))) (not (= tptp.sk_c9 (tptp.multiply X4 tptp.sk_c8))))))) (let ((_let_95 (not _let_75))) (let ((_let_96 (or _let_95 _let_89))) (let ((_let_97 (= tptp.sk_c9 _let_46))) (let ((_let_98 (= tptp.sk_c9 _let_38))) (let ((_let_99 (= tptp.sk_c3 _let_22))) (let ((_let_100 (= tptp.sk_c9 _let_4))) (let ((_let_101 (not _let_98))) (let ((_let_102 (not _let_97))) (let ((_let_103 (or _let_102 _let_101))) (let ((_let_104 (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 _let_22)))) (let ((_let_105 (not _let_100))) (let ((_let_106 (not _let_104))) (let ((_let_107 (or _let_106 _let_105))) (let ((_let_108 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.sk_c8))) (let ((_let_109 (= tptp.sk_c9 _let_108))) (let ((_let_110 (not _let_109))) (let ((_let_111 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_112 (= tptp.sk_c9 _let_111))) (let ((_let_113 (not _let_112))) (let ((_let_114 (or _let_113 _let_110))) (let ((_let_115 (forall ((X7 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply tptp.sk_c9 (tptp.multiply X7 tptp.sk_c9)))) (not (= tptp.sk_c9 (tptp.inverse X7))))))) (let ((_let_116 (= tptp.sk_c9 (tptp.multiply _let_111 tptp.sk_c8)))) (let ((_let_117 (not _let_116))) (let ((_let_118 (= tptp.sk_c9 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_111)))) (let ((_let_119 (not _let_118))) (let ((_let_120 (or _let_119 _let_117))) (let ((_let_121 (tptp.multiply _let_64 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_122 (= tptp.identity _let_121))) (let ((_let_123 (tptp.multiply _let_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_124 (= tptp.identity _let_123))) (let ((_let_125 (tptp.multiply tptp.sk_c1 tptp.sk_c9))) (let ((_let_126 (tptp.multiply _let_125 _let_67))) (let ((_let_127 (= _let_126 (tptp.multiply tptp.sk_c1 _let_68)))) (let ((_let_128 (tptp.multiply tptp.sk_c9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_129 (tptp.multiply _let_128 tptp.sk_c9))) (let ((_let_130 (= _let_68 _let_129))) (let ((_let_131 (= tptp.sk_c9 (tptp.multiply tptp.identity tptp.sk_c9)))) (let ((_let_132 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c9))) (let ((_let_133 (= (tptp.multiply _let_123 tptp.sk_c9) (tptp.multiply _let_73 _let_132)))) (let ((_let_134 (= _let_73 (tptp.multiply tptp.identity _let_73)))) (let ((_let_135 (tptp.multiply _let_111 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_136 (= tptp.identity _let_135))) (let ((_let_137 (= (tptp.multiply _let_129 tptp.sk_c3) (tptp.multiply _let_128 _let_30)))) (let ((_let_138 (tptp.multiply _let_128 _let_128))) (let ((_let_139 (= (tptp.multiply _let_129 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_138))) (let ((_let_140 (tptp.multiply _let_67 _let_67))) (let ((_let_141 (= (tptp.multiply _let_126 _let_67) (tptp.multiply _let_125 _let_140)))) (let ((_let_142 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_73))) (let ((_let_143 (tptp.multiply tptp.sk_c9 _let_142))) (let ((_let_144 (= (tptp.multiply _let_129 _let_142) (tptp.multiply _let_128 _let_143)))) (let ((_let_145 (tptp.multiply _let_67 _let_142))) (let ((_let_146 (= (tptp.multiply _let_126 _let_142) (tptp.multiply _let_125 _let_145)))) (let ((_let_147 (tptp.multiply _let_128 _let_73))) (let ((_let_148 (= _let_143 _let_147))) (let ((_let_149 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_128))) (let ((_let_150 (tptp.multiply _let_149 tptp.sk_c9))) (let ((_let_151 (= _let_150 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_129)))) (let ((_let_152 (= (tptp.multiply _let_138 tptp.sk_c9) (tptp.multiply _let_128 _let_129)))) (let ((_let_153 (tptp.multiply tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_154 (tptp.multiply tptp.sk_c8 _let_142))) (let ((_let_155 (= _let_154 (tptp.multiply _let_153 _let_73)))) (let ((_let_156 (= (tptp.multiply _let_121 _let_68) (tptp.multiply _let_64 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_68))))) (let ((_let_157 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_73))) (let ((_let_158 (tptp.multiply _let_111 _let_157))) (let ((_let_159 (= (tptp.multiply _let_135 _let_73) _let_158))) (let ((_let_160 (tptp.multiply _let_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_161 (tptp.multiply _let_125 _let_160))) (let ((_let_162 (= (tptp.multiply _let_126 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_161))) (let ((_let_163 (tptp.multiply tptp.sk_c9 _let_149))) (let ((_let_164 (= _let_138 _let_163))) (let ((_let_165 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_166 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_165))) (let ((_let_167 (tptp.multiply _let_160 _let_73))) (let ((_let_168 (= (tptp.multiply _let_161 _let_73) (tptp.multiply _let_125 _let_167)))) (let ((_let_169 (= (tptp.multiply _let_108 _let_142) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_154)))) (let ((_let_170 (= _let_68 (tptp.multiply tptp.identity _let_68)))) (let ((_let_171 (tptp.multiply _let_160 tptp.sk_c9))) (let ((_let_172 (= (tptp.multiply _let_161 tptp.sk_c9) (tptp.multiply _let_125 _let_171)))) (let ((_let_173 (= (tptp.multiply _let_158 _let_132) (tptp.multiply _let_111 (tptp.multiply _let_157 _let_132))))) (let ((_let_174 (= (tptp.multiply tptp.sk_c9 _let_150) (tptp.multiply _let_163 tptp.sk_c9)))) (let ((_let_175 (= _let_140 _let_171))) (let ((_let_176 (= _let_145 _let_167))) (let ((_let_177 (= (tptp.multiply (tptp.multiply _let_128 _let_111) _let_157) (tptp.multiply _let_128 _let_158)))) (let ((_let_178 (= (tptp.multiply (tptp.multiply _let_153 _let_111) _let_157) (tptp.multiply _let_153 _let_158)))) (let ((_let_179 (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_102 _let_101 (not _let_103)))))) (let ((_let_180 (and _let_76 _let_99))) (let ((_let_181 (APPLY_UF tptp.multiply))) (let ((_let_182 (ASSUME :args (_let_99)))) (let ((_let_183 (REFL :args (tptp.sk_c9)))) (let ((_let_184 (ASSUME :args (_let_76)))) (let ((_let_185 (SYMM _let_184))) (let ((_let_186 (RESOLUTION (CNF_AND_NEG :args (_let_180)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_182 _let_184) (SCOPE (TRANS (SYMM _let_185) (CONG _let_183 (SYMM (SYMM _let_182)) :args _let_181)) :args (_let_99 _let_76))) :args (_let_76 _let_99))) :args (true _let_180)))) (let ((_let_187 (_let_94))) (let ((_let_188 (ASSUME :args _let_187))) (let ((_let_189 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_188 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X4)))) :args _let_187)))) (let ((_let_190 (not _let_107))) (let ((_let_191 (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_105 _let_106 _let_190))))) (let ((_let_192 (or))) (let ((_let_193 (not _let_94))) (let ((_let_194 (_let_193))) (let ((_let_195 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_194)) :args _let_194)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_193) _let_94))) (REFL :args ((not _let_114))) :args _let_192)))) (let ((_let_196 (_let_63))) (let ((_let_197 ((tptp.multiply X6 tptp.sk_c9)))) (let ((_let_198 (ASSUME :args _let_196))) (let ((_let_199 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_197)) :args _let_196)))) (let ((_let_200 (REFL :args (_let_114)))) (let ((_let_201 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_114 0)) (CONG _let_200 (MACRO_SR_PRED_INTRO :args ((= (not _let_113) _let_112))) :args _let_192)) :args ((or _let_112 _let_114))))) (let ((_let_202 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_114 1)) (CONG _let_200 (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_109))) :args _let_192)) :args ((or _let_109 _let_114))))) (let ((_let_203 (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_63 (= X6 X7)))))) (let ((_let_204 (not _let_63))) (let ((_let_205 (_let_204))) (let ((_let_206 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_205)) :args _let_205)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_204) _let_63))) (REFL :args ((not _let_71))) :args _let_192)))) (let ((_let_207 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_208 (REFL :args (_let_71)))) (let ((_let_209 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_71 1)) (CONG _let_208 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_65))) :args _let_192)) :args ((or _let_65 _let_71))))) (let ((_let_210 (_let_86))) (let ((_let_211 ((tptp.inverse X2)))) (let ((_let_212 (ASSUME :args _let_210))) (let ((_let_213 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_212 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_211)) :args _let_210)))) (let ((_let_214 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_215 (EQ_RESOLVE (ASSUME :args (_let_55)) (MACRO_SR_EQ_INTRO :args (_let_55 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_216 (_let_214))) (let ((_let_217 ((tptp.inverse X)))) (let ((_let_218 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_216)) _let_215 :args (_let_122 false _let_214)))) (let ((_let_219 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_216)) _let_215 :args (_let_124 false _let_214)))) (let ((_let_220 (_let_54))) (let ((_let_221 (ASSUME :args _let_220))) (let ((_let_222 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_223 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c1 tptp.sk_c9 _let_67 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_127 false _let_54)))) (let ((_let_224 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_130 false _let_54)))) (let ((_let_225 (forall ((X $$unsorted)) (= X 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_let_317 (CONG _let_294 _let_291 :args _let_181)) :args (_let_173 _let_137 _let_172 _let_139 _let_151 _let_177 _let_146 _let_122 _let_130 _let_166 _let_112 _let_136 _let_134 _let_159 _let_124 _let_168 _let_141 _let_174 _let_69 _let_127 _let_175 _let_133 _let_169 _let_76 _let_164 _let_98 _let_176 _let_144 _let_178 _let_148 _let_152 _let_131 _let_162 _let_109 _let_155 _let_65 _let_156 _let_170))) :args (_let_98 _let_76 _let_69 _let_65 _let_122 _let_124 _let_127 _let_130 _let_131 _let_133 _let_112 _let_109 _let_134 _let_136 _let_137 _let_139 _let_141 _let_144 _let_146 _let_148 _let_151 _let_152 _let_155 _let_156 _let_159 _let_162 _let_164 _let_166 _let_168 _let_169 _let_170 _let_172 _let_173 _let_174 _let_175 _let_176 _let_177 _let_178))) :args (true _let_286)) :args ((or _let_101 _let_285 _let_70 _let_66 _let_284 _let_283 _let_282 _let_281 _let_280 (not _let_133) _let_113 _let_110 _let_116 _let_279 _let_278 _let_277 _let_276 _let_275 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 (not _let_169) _let_262 _let_261 (not _let_173) _let_260 _let_259 _let_258 (not _let_177) (not _let_178)))))) (let ((_let_420 (and _let_98 _let_69 _let_65 _let_122 _let_124 _let_127 _let_130 _let_131 _let_112 _let_109 _let_141 _let_151 _let_152 _let_156 _let_162 _let_164 _let_166 _let_170 _let_172 _let_174 _let_175))) (let ((_let_421 (CONG _let_356 _let_355 :args _let_181))) (let ((_let_422 (CONG _let_310 _let_354 :args _let_181))) (let ((_let_423 (CONG _let_342 _let_303 :args _let_181))) (let ((_let_424 (TRANS _let_287 _let_289))) (let ((_let_425 (CONG _let_320 _let_424 :args _let_181))) (let ((_let_426 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_420)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_292 _let_360 _let_357 _let_298 _let_354 _let_308 _let_336 _let_287 _let_340 _let_350 _let_348 _let_345 _let_343 _let_295 _let_301 _let_289 _let_305 _let_312 _let_314 _let_318 _let_414) (SCOPE (TRANS (SYMM _let_415) (CONG 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(MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_72 _let_100))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_72 _let_99))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_72 _let_76))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_72 _let_98))) (EQ_RESOLVE (ASSUME :args (_let_51)) (MACRO_SR_EQ_INTRO :args (_let_51 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_72 _let_70) false _let_118 false _let_175 false _let_174 false _let_172 false _let_170 false _let_166 false _let_164 false _let_162 false _let_156 false _let_152 false _let_151 false _let_141 false _let_131 false _let_130 false _let_127 false _let_124 false _let_122 false _let_116 false _let_178 false _let_177 false _let_176 false _let_175 false _let_174 false _let_173 false _let_172 false _let_170 false _let_169 false _let_168 false _let_166 false _let_164 false _let_162 false _let_159 false _let_156 false _let_155 false _let_152 false _let_151 false _let_148 false _let_146 false _let_144 false _let_141 false _let_139 false _let_137 false _let_136 false _let_134 false _let_133 false _let_131 false _let_130 false _let_127 false _let_124 false _let_122 false _let_120 false _let_65 false _let_86 true _let_71 true _let_115 false _let_109 false _let_112 true _let_63 true _let_114 true _let_107 true _let_94 false _let_104 true _let_103 false _let_100 false _let_99 false _let_76 false _let_98 false _let_97)))) (let ((_let_430 (not _let_72))) (let ((_let_431 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_77 _let_76))))) (let ((_let_432 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_78 _let_76))))) (let ((_let_433 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_79 _let_76))))) (let ((_let_434 (not _let_85))) (let ((_let_435 (not _let_77))) (let ((_let_436 (and _let_78 _let_72))) (let ((_let_437 (_let_78 _let_72))) (let ((_let_438 (REFL :args (tptp.sk_c8)))) (let ((_let_439 (ASSUME :args (_let_78)))) (let ((_let_440 (SYMM (SYMM _let_439)))) (let ((_let_441 (ASSUME :args (_let_72)))) (let ((_let_442 (SYMM (SYMM _let_441)))) (let ((_let_443 (RESOLUTION (CNF_AND_NEG :args (_let_436)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_439 _let_441) (SCOPE (TRANS _let_442 (CONG _let_440 _let_438 :args _let_181)) :args _let_437)) :args _let_437)) :args (true _let_436)))) (let ((_let_444 (and _let_77 _let_78))) (let ((_let_445 (REFL :args (tptp.sk_c4)))) (let ((_let_446 (ASSUME :args (_let_77)))) (let ((_let_447 (SYMM _let_446))) (let ((_let_448 (RESOLUTION (CNF_AND_NEG :args (_let_444)) (IMPLIES_ELIM (SCOPE 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(MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_91))) :args _let_192)) :args ((or _let_91 _let_93))))) (let ((_let_457 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_93 1)) (CONG _let_455 (MACRO_SR_PRED_INTRO :args ((= (not _let_89) _let_88))) :args _let_192)) :args ((or _let_88 _let_93))))) (let ((_let_458 (= tptp.identity (tptp.multiply _let_2 tptp.sk_c6)))) (let ((_let_459 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.sk_c6) tptp.sk_c9) _let_59))) (let ((_let_460 (tptp.multiply tptp.sk_c6 _let_73))) (let ((_let_461 (= (tptp.multiply _let_460 tptp.sk_c8) (tptp.multiply tptp.sk_c6 _let_87)))) (let ((_let_462 (tptp.multiply _let_73 _let_68))) (let ((_let_463 (tptp.multiply _let_73 tptp.sk_c9))) (let ((_let_464 (tptp.multiply _let_463 _let_67))) (let ((_let_465 (= _let_464 _let_462))) (let ((_let_466 (tptp.multiply _let_74 _let_73))) (let ((_let_467 (= tptp.identity _let_466))) (let ((_let_468 (tptp.multiply _let_67 tptp.sk_c7))) (let ((_let_469 (= (tptp.multiply _let_464 tptp.sk_c7) (tptp.multiply _let_463 _let_468)))) (let ((_let_470 (= (tptp.multiply _let_462 tptp.sk_c6) (tptp.multiply _let_73 (tptp.multiply _let_68 tptp.sk_c6))))) (let ((_let_471 (= (tptp.multiply _let_466 tptp.sk_c9) (tptp.multiply _let_74 _let_463)))) (let ((_let_472 (= (tptp.multiply _let_129 _let_460) (tptp.multiply _let_128 (tptp.multiply tptp.sk_c9 _let_460))))) (let ((_let_473 (= (tptp.multiply tptp.sk_c8 _let_460) (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c6) _let_73)))) (let ((_let_474 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_475 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_474))) (let ((_let_476 (tptp.multiply _let_73 tptp.identity))) (let ((_let_477 (= (tptp.multiply _let_476 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_73 _let_474)))) (let ((_let_478 (= (tptp.multiply (tptp.multiply _let_74 tptp.sk_c8) _let_142) (tptp.multiply _let_74 _let_154)))) (let ((_let_479 (not _let_79))) (let ((_let_480 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_80 _let_76))))) (let ((_let_481 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_57 _let_76))))) (let ((_let_482 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_216)) _let_215 :args (_let_458 false _let_214)))) (let ((_let_483 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c9 tptp.sk_c6 tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_459 false _let_54)))) (let ((_let_484 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c6 _let_73 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_461 false _let_54)))) (let ((_let_485 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_73 tptp.sk_c9 _let_67 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_465 false _let_54)))) (let ((_let_486 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args (_let_73 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_216)) _let_215 :args (_let_467 false _let_214)))) (let ((_let_487 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_463 _let_67 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_220)) _let_221 :args (_let_469 false _let_54)))) (let ((_let_488 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_73 _let_68 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_220)) _let_221 :args (_let_470 false _let_54)))) (let ((_let_489 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_74 _let_73 tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_220)) _let_221 :args (_let_471 false _let_54)))) (let ((_let_490 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_128 tptp.sk_c9 _let_460 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_220)) _let_221 :args (_let_472 false _let_54)))) (let ((_let_491 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c8 tptp.sk_c6 _let_73 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220))) _let_221 :args (_let_473 false _let_54)))) (let ((_let_492 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_226 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_228)) :args _let_227)) _let_226 :args (_let_475 false _let_225)))) (let ((_let_493 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_73 tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_477 false _let_54)))) (let ((_let_494 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_74 tptp.sk_c8 _let_142 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_478 false _let_54)))) (let ((_let_495 (not _let_477))) (let ((_let_496 (not _let_475))) (let ((_let_497 (not _let_467))) (let ((_let_498 (and _let_79 _let_80 _let_57 _let_69 _let_91 _let_88 _let_458 _let_124 _let_459 _let_461 _let_130 _let_465 _let_131 _let_467 _let_469 _let_470 _let_134 _let_471 _let_472 _let_148 _let_473 _let_155 _let_475 _let_477 _let_478))) (let ((_let_499 (ASSUME :args (_let_458)))) (let ((_let_500 (SYMM _let_499))) (let ((_let_501 (REFL :args (tptp.sk_c6)))) (let ((_let_502 (ASSUME :args (_let_57)))) (let ((_let_503 (CONG (SYMM (SYMM _let_502)) _let_501 :args _let_181))) (let ((_let_504 (CONG (TRANS (TRANS _let_503 _let_500 _let_357) _let_358) _let_183 :args _let_181))) (let ((_let_505 (ASSUME :args (_let_459)))) (let ((_let_506 (SYMM _let_505))) (let ((_let_507 (ASSUME :args (_let_88)))) (let ((_let_508 (SYMM _let_507))) (let 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_let_551 (TRANS _let_366 _let_544 _let_536 _let_543 _let_541 (SYMM _let_545) _let_403 (SYMM _let_546) (SYMM _let_547) _let_387) :args _let_181))) (let ((_let_557 (ASSUME :args (_let_475)))) (let ((_let_558 (SYMM _let_557))) (let ((_let_559 (CONG _let_368 _let_558 :args _let_181))) (let ((_let_560 (ASSUME :args (_let_477)))) (let ((_let_561 (SYMM _let_560))) (let ((_let_562 (SYMM _let_561))) (let ((_let_563 (ASSUME :args (_let_470)))) (let ((_let_564 (TRANS _let_358 _let_499 (SYMM _let_503) (CONG (TRANS _let_526 _let_513) _let_501 :args _let_181) (SYMM (SYMM _let_563)) (CONG _let_368 (TRANS (CONG _let_289 _let_501 :args _let_181) _let_533 _let_503 _let_500 _let_548) :args _let_181) (CONG _let_368 _let_549 :args _let_181)))) (let ((_let_565 (CONG (TRANS _let_357 _let_564) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args _let_181))) (let ((_let_566 (TRANS _let_557 _let_565 _let_562 _let_559 _let_358 _let_548 _let_556 _let_555 _let_554 _let_552 _let_547 _let_546 _let_404 _let_545 _let_542 _let_540 _let_537 _let_534 _let_367))) (let ((_let_567 (ASSUME :args (_let_91)))) (let ((_let_568 (SYMM _let_567))) (let ((_let_569 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_498)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_366 _let_357 _let_499 _let_502 _let_360 _let_505 _let_507 _let_287 _let_511 _let_517 _let_520 _let_523 _let_528 _let_289 _let_535 _let_541 _let_402 _let_548 _let_550 _let_553 _let_387 _let_557 _let_560 _let_563 _let_567) (SCOPE (TRANS (SYMM _let_568) (CONG (TRANS (TRANS _let_557 _let_565 _let_562 _let_559) _let_564) (SYMM _let_566) :args _let_181) _let_562 _let_559 _let_358 _let_548 _let_556 _let_555 _let_554 _let_552 _let_547 _let_546 _let_404 _let_545 _let_542 _let_540 _let_537 _let_534 _let_367 (CONG _let_566 :args (APPLY_UF tptp.inverse))) :args (_let_134 _let_124 _let_458 _let_57 _let_131 _let_459 _let_88 _let_69 _let_465 _let_461 _let_80 _let_469 _let_79 _let_130 _let_473 _let_472 _let_155 _let_467 _let_471 _let_478 _let_148 _let_475 _let_477 _let_470 _let_91))) :args (_let_79 _let_80 _let_57 _let_69 _let_91 _let_88 _let_458 _let_124 _let_459 _let_461 _let_130 _let_465 _let_131 _let_467 _let_469 _let_470 _let_134 _let_471 _let_472 _let_148 _let_473 _let_155 _let_475 _let_477 _let_478))) :args (true _let_498)) :args ((or _let_479 (not _let_80) _let_58 _let_70 _let_92 _let_89 _let_75 (not _let_458) _let_283 (not _let_459) (not _let_461) _let_281 (not _let_465) _let_280 _let_497 (not _let_469) (not _let_470) _let_279 (not _let_471) (not _let_472) _let_272 (not _let_473) _let_269 _let_496 _let_495 (not _let_478)))))) (let ((_let_570 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_569 _let_494 _let_493 _let_492 _let_242 _let_491 _let_239 _let_490 _let_489 _let_232 _let_488 _let_487 _let_486 _let_229 _let_485 _let_224 _let_484 _let_483 _let_219 _let_482 _let_481 _let_480 :args ((or _let_76 _let_479 _let_70 _let_92 _let_89 _let_75) false _let_478 false _let_477 false _let_475 false _let_155 false _let_473 false _let_148 false _let_472 false _let_471 false _let_134 false _let_470 false _let_469 false _let_467 false _let_131 false _let_465 false _let_130 false _let_461 false _let_459 false _let_124 false _let_458 false _let_57 false _let_80)) _let_457 _let_456 _let_454 _let_451 _let_450 _let_433 _let_432 _let_431 :args ((or _let_76 _let_430 _let_70 _let_75) false _let_88 false _let_91 true _let_93 true _let_86 true _let_85 false _let_79 false _let_78 false _let_77)))) (let ((_let_571 (= tptp.sk_c9 (tptp.multiply _let_46 tptp.sk_c8)))) (let ((_let_572 (not _let_571))) (let ((_let_573 (= tptp.sk_c9 (tptp.multiply tptp.sk_c1 _let_46)))) (let ((_let_574 (not _let_573))) (let ((_let_575 (or _let_574 _let_572))) (let ((_let_576 (EQ_RESOLVE (ASSUME :args (_let_53)) (MACRO_SR_EQ_INTRO :args (_let_53 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_577 (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_578 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_80 _let_99))))) (let ((_let_579 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_57 _let_99))))) (let ((_let_580 (= tptp.identity (tptp.multiply _let_46 tptp.sk_c1)))) (let ((_let_581 (= tptp.identity (tptp.multiply _let_4 tptp.sk_c2)))) (let ((_let_582 (tptp.multiply _let_147 _let_68))) (let ((_let_583 (= _let_582 (tptp.multiply _let_128 _let_462)))) (let ((_let_584 (= _let_462 (tptp.multiply tptp.identity _let_462)))) (let ((_let_585 (tptp.multiply tptp.sk_c8 tptp.sk_c3))) (let ((_let_586 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c8))) (let ((_let_587 (= (tptp.multiply _let_586 tptp.sk_c3) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_585)))) (let ((_let_588 (= (tptp.multiply _let_586 tptp.sk_c7) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiply tptp.sk_c8 tptp.sk_c7))))) (let ((_let_589 (tptp.multiply tptp.sk_c4 _let_128))) (let ((_let_590 (= (tptp.multiply _let_589 tptp.sk_c9) (tptp.multiply tptp.sk_c4 _let_129)))) (let ((_let_591 (tptp.multiply _let_73 _let_129))) (let ((_let_592 (= (tptp.multiply (tptp.multiply _let_73 _let_128) tptp.sk_c9) _let_591))) (let ((_let_593 (tptp.multiply _let_125 _let_128))) (let ((_let_594 (tptp.multiply _let_593 tptp.sk_c9))) (let ((_let_595 (= _let_594 (tptp.multiply _let_125 _let_129)))) (let ((_let_596 (tptp.multiply tptp.sk_c1 _let_73))) (let ((_let_597 (= (tptp.multiply (tptp.multiply _let_596 _let_128) tptp.sk_c9) (tptp.multiply _let_596 _let_129)))) (let ((_let_598 (tptp.multiply tptp.sk_c4 _let_73))) (let ((_let_599 (tptp.multiply _let_598 _let_129))) (let ((_let_600 (= (tptp.multiply (tptp.multiply _let_598 _let_128) tptp.sk_c9) _let_599))) (let ((_let_601 (= (tptp.multiply _let_160 tptp.sk_c8) (tptp.multiply _let_67 _let_586)))) (let ((_let_602 (tptp.multiply tptp.identity _let_74))) (let ((_let_603 (= _let_74 _let_602))) (let ((_let_604 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply _let_73 _let_73)))) (let ((_let_605 (= (tptp.multiply _let_90 _let_73) _let_604))) (let ((_let_606 (= (tptp.multiply (tptp.multiply _let_128 _let_74) _let_73) (tptp.multiply _let_128 _let_466)))) (let ((_let_607 (tptp.multiply _let_125 tptp.sk_c9))) (let ((_let_608 (tptp.multiply _let_607 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_609 (= _let_593 _let_608))) (let ((_let_610 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c9) tptp.sk_c9)))) (let ((_let_611 (= (tptp.multiply _let_594 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply _let_593 _let_128)))) (let ((_let_612 (tptp.multiply _let_73 _let_46))) (let ((_let_613 (= (tptp.multiply _let_596 _let_46) (tptp.multiply tptp.sk_c1 _let_612)))) (let ((_let_614 (tptp.multiply _let_142 _let_46))) (let ((_let_615 (= _let_614 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_612)))) (let ((_let_616 (= (tptp.multiply _let_154 _let_46) (tptp.multiply tptp.sk_c8 _let_614)))) (let ((_let_617 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c2 _let_73)))) (let ((_let_618 (tptp.multiply _let_617 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_619 (tptp.multiply _let_46 _let_617))) (let ((_let_620 (= (tptp.multiply _let_619 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_46 _let_618)))) (let ((_let_621 (tptp.multiply tptp.sk_c5 _let_154))) (let ((_let_622 (= (tptp.multiply _let_13 _let_142) _let_621))) (let ((_let_623 (= (tptp.multiply _let_38 _let_142) (tptp.multiply tptp.sk_c1 _let_154)))) (let ((_let_624 (= (tptp.multiply _let_165 tptp.sk_c9) (tptp.multiply tptp.identity _let_67)))) (let ((_let_625 (= (tptp.multiply _let_602 _let_73) (tptp.multiply tptp.identity _let_466)))) (let ((_let_626 (= _let_599 (tptp.multiply tptp.sk_c4 _let_591)))) (let ((_let_627 (= (tptp.multiply _let_150 tptp.sk_c3) (tptp.multiply _let_149 _let_30)))) (let ((_let_628 (= (tptp.multiply _let_150 _let_67) (tptp.multiply _let_149 _let_68)))) (let ((_let_629 (= (tptp.multiply _let_19 _let_154) (tptp.multiply tptp.sk_c4 _let_621)))) (let ((_let_630 (= (tptp.multiply _let_19 _let_585) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 _let_585))))) (let ((_let_631 (tptp.multiply _let_128 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_632 (= (tptp.multiply _let_631 _let_46) (tptp.multiply _let_128 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_46))))) (let ((_let_633 (= (tptp.multiply _let_608 _let_128) (tptp.multiply _let_607 _let_149)))) (let ((_let_634 (= (tptp.multiply (tptp.multiply tptp.sk_c4 _let_147) _let_68) (tptp.multiply tptp.sk_c4 _let_582)))) (let ((_let_635 (= (tptp.multiply (tptp.multiply _let_90 _let_154) tptp.sk_c8) (tptp.multiply _let_90 (tptp.multiply _let_154 tptp.sk_c8))))) (let ((_let_636 (= (tptp.multiply _let_463 _let_149) (tptp.multiply _let_73 _let_163)))) (let ((_let_637 (= (tptp.multiply (tptp.multiply _let_4 _let_147) _let_68) (tptp.multiply _let_4 _let_582)))) (let ((_let_638 (= (tptp.multiply (tptp.multiply tptp.sk_c8 _let_125) _let_160) (tptp.multiply tptp.sk_c8 _let_161)))) (let ((_let_639 (= (tptp.multiply (tptp.multiply _let_128 _let_147) _let_68) (tptp.multiply _let_128 _let_582)))) (let ((_let_640 (= (tptp.multiply (tptp.multiply tptp.sk_c4 _let_125) _let_160) (tptp.multiply tptp.sk_c4 _let_161)))) (let ((_let_641 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_125) _let_160) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_161)))) (let ((_let_642 (= (tptp.multiply _let_128 _let_463) (tptp.multiply tptp.sk_c9 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_463))))) (let ((_let_643 (= (tptp.multiply (tptp.multiply tptp.sk_c9 tptp.sk_c1) _let_463) (tptp.multiply tptp.sk_c9 (tptp.multiply tptp.sk_c1 _let_463))))) (let ((_let_644 (= _let_617 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c2) _let_73)))) (let ((_let_645 (= (tptp.multiply (tptp.multiply _let_619 tptp.identity) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_619 _let_474)))) (let ((_let_646 (= (tptp.multiply _let_67 _let_160) (tptp.multiply _let_140 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_647 (= (tptp.multiply (tptp.multiply _let_604 _let_125) _let_160) (tptp.multiply _let_604 _let_161)))) (let ((_let_648 (not _let_575))) (let ((_let_649 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_78 _let_98))))) (let ((_let_650 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_78 _let_100))))) (let ((_let_651 (MACRO_RESOLUTION_TRUST _let_191 _let_186 _let_650 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_78 _let_99))) _let_432 :args ((or _let_78 _let_190) false _let_104 false _let_100 false _let_99 false _let_76)))) (let ((_let_652 (and _let_97 _let_77 _let_98 _let_69 _let_65 _let_122 _let_124 _let_127 _let_130 _let_131 _let_162 _let_166))) (let ((_let_653 (ASSUME :args (_let_97)))) (let ((_let_654 (SYMM _let_653))) (let ((_let_655 (SYMM _let_654))) (let ((_let_656 (CONG _let_338 _let_447 :args _let_181))) (let ((_let_657 (TRANS _let_351 _let_423 _let_422 _let_421 _let_299 _let_357))) (let ((_let_658 (SYMM _let_423))) (let ((_let_659 (TRANS _let_658 _let_350))) (let ((_let_660 (TRANS _let_659 _let_657 _let_358))) (let ((_let_661 (CONG _let_660 _let_183 :args _let_181))) (let ((_let_662 (and _let_97 _let_77 _let_72 _let_79 _let_98 _let_76 _let_100 _let_69 _let_65 _let_91 _let_580 _let_581 _let_122 _let_124 _let_127 _let_130 _let_131 _let_467 _let_583 _let_134 _let_584 _let_136 _let_137 _let_139 _let_144 _let_146 _let_148 _let_587 _let_588 _let_151 _let_590 _let_592 _let_152 _let_595 _let_597 _let_600 _let_601 _let_475 _let_603 _let_156 _let_159 _let_162 _let_164 _let_605 _let_606 _let_609 _let_166 _let_610 _let_168 _let_611 _let_613 _let_615 _let_616 _let_620 _let_477 _let_622 _let_623 _let_170 _let_624 _let_625 _let_626 _let_174 _let_627 _let_628 _let_629 _let_630 _let_632 _let_175 _let_633 _let_176 _let_634 _let_635 _let_636 _let_637 _let_638 _let_639 _let_640 _let_641 _let_642 _let_643 _let_644 _let_645 _let_646 _let_647))) (let ((_let_663 (CONG _let_655 _let_291 :args _let_181))) (let ((_let_664 (CONG _let_447 _let_328 :args _let_181))) (let ((_let_665 (ASSUME :args (_let_630)))) (let ((_let_666 (TRANS _let_295 _let_334 _let_301 _let_333 _let_312 _let_332 _let_318 _let_331 _let_323 _let_330 _let_329))) (let ((_let_667 (REFL :args (tptp.sk_c5)))) (let ((_let_668 (CONG _let_445 (TRANS _let_661 _let_361 _let_442 (CONG _let_667 _let_287 :args _let_181) (CONG _let_667 _let_666 :args _let_181)) :args _let_181))) (let ((_let_669 (ASSUME :args (_let_590)))) (let ((_let_670 (TRANS _let_661 _let_361 _let_446))) (let ((_let_671 (SYMM _let_659))) (let ((_let_672 (ASSUME :args (_let_640)))) (let ((_let_673 (REFL :args 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_let_221 :args (_let_128 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_46 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_220)) _let_221 :args (_let_632 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 tptp.sk_c5 _let_585 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_220)) _let_221 :args (_let_630 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 tptp.sk_c5 _let_154 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_220)) _let_221 :args (_let_629 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_149 tptp.sk_c9 _let_67 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_220)) _let_221 :args (_let_628 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_149 tptp.sk_c9 tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_220)) _let_221 :args (_let_627 false _let_54)) _let_253 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 _let_73 _let_129 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_220)) _let_221 :args (_let_626 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.identity _let_74 _let_73 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_220)) _let_221 :args (_let_625 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_220)) _let_221 :args (_let_624 false _let_54)) _let_250 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c1 tptp.sk_c8 _let_142 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_623 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c5 tptp.sk_c8 _let_142 QUANTIFIERS_INST_E_MATCHING _let_222)) :args 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_let_54)) _let_246 _let_245 _let_244 _let_243 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_226 :args (_let_74 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_228)) :args _let_227)) _let_226 :args (_let_603 false _let_225)) _let_492 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_601 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_598 _let_128 tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_600 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_596 _let_128 tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_597 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_125 _let_128 tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_595 false _let_54)) _let_241 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_73 _let_128 tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_592 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk_c4 _let_128 tptp.sk_c9 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_590 false _let_54)) _let_240 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c8 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_220)) _let_221 :args (_let_588 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c8 tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING _let_230)) :args _let_220)) _let_221 :args (_let_587 false _let_54)) _let_239 _let_238 _let_237 _let_235 _let_234 _let_233 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_226 :args (_let_462 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_228)) :args _let_227)) _let_226 :args (_let_584 false _let_225)) _let_232 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (_let_128 _let_73 _let_68 QUANTIFIERS_INST_E_MATCHING _let_222)) :args _let_220)) _let_221 :args (_let_583 false _let_54)) _let_486 _let_229 _let_224 _let_223 _let_219 _let_218 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_216)) _let_215 :args (_let_581 false _let_214)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_215 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_216)) _let_215 :args (_let_580 false _let_214)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_652)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_653 _let_446 _let_360 _let_357 _let_298 _let_354 _let_308 _let_336 _let_287 _let_340 _let_350 _let_289) (SCOPE (TRANS _let_336 _let_383 (CONG _let_338 (TRANS (SYMM _let_290) _let_661 _let_361 _let_446) :args _let_181) _let_656 (CONG _let_338 _let_655 :args _let_181)) :args (_let_97 _let_77 _let_131 _let_124 _let_122 _let_166 _let_65 _let_98 _let_69 _let_127 _let_162 _let_130))) :args (_let_97 _let_77 _let_98 _let_69 _let_65 _let_122 _let_124 _let_127 _let_130 _let_131 _let_162 _let_166))) :args (true _let_652)) :args ((or _let_102 _let_435 _let_101 _let_70 _let_66 _let_284 _let_283 _let_282 _let_281 _let_280 _let_573 _let_266 _let_264))) _let_247 _let_245 _let_229 _let_224 _let_223 _let_219 _let_218 _let_209 _let_206 _let_199 _let_651 _let_649 _let_450 :args ((or _let_102 _let_435 _let_430 _let_479 _let_285 _let_105 _let_70 _let_92 _let_648 _let_434) false _let_571 false _let_647 false _let_646 false _let_645 false _let_644 false _let_643 false _let_642 false _let_641 false _let_640 false _let_639 false _let_638 false _let_637 false _let_636 false _let_635 false _let_634 false _let_176 false _let_633 false _let_175 false _let_632 false _let_630 false _let_629 false _let_628 false _let_627 false _let_174 false _let_626 false _let_625 false _let_624 false _let_170 false _let_623 false _let_622 false _let_477 false _let_620 false _let_616 false _let_615 false _let_613 false _let_611 false _let_168 false _let_610 false _let_166 false _let_609 false _let_606 false _let_605 false _let_164 false _let_162 false _let_159 false _let_156 false _let_603 false _let_475 false _let_601 false _let_600 false _let_597 false _let_595 false _let_152 false _let_592 false _let_590 false _let_151 false _let_588 false _let_587 false _let_148 false _let_146 false _let_144 false _let_139 false _let_137 false _let_136 false _let_584 false _let_134 false _let_583 false _let_467 false _let_131 false _let_130 false _let_127 false _let_124 false _let_122 false _let_581 false _let_580 false _let_573 false _let_166 false _let_162 false _let_131 false _let_130 false _let_127 false _let_124 false _let_122 false _let_65 true _let_71 true _let_63 true _let_107 false _let_98 true _let_78)) _let_213 _let_451 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_212 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_211)) :args _let_210)) (MACRO_RESOLUTION_TRUST _let_203 _let_207 _let_199 _let_189 _let_191 _let_179 _let_186 (MACRO_RESOLUTION_TRUST _let_569 _let_494 _let_493 _let_492 _let_242 _let_491 _let_239 _let_490 _let_489 _let_232 _let_488 _let_487 _let_486 _let_229 _let_485 _let_224 _let_484 _let_483 _let_219 _let_482 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_57 _let_98))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_80 _let_98))) :args ((or _let_98 _let_479 _let_70 _let_92 _let_89 _let_75) false _let_478 false _let_477 false _let_475 false _let_155 false _let_473 false _let_148 false _let_472 false _let_471 false _let_134 false _let_470 false _let_469 false _let_467 false _let_131 false _let_465 false _let_130 false _let_461 false _let_459 false _let_124 false _let_458 false _let_57 false _let_80)) (MACRO_RESOLUTION_TRUST _let_569 _let_494 _let_493 _let_492 _let_242 _let_491 _let_239 _let_490 _let_489 _let_232 _let_488 _let_487 _let_486 _let_229 _let_485 _let_224 _let_484 _let_483 _let_219 _let_482 _let_579 _let_578 :args ((or _let_99 _let_479 _let_70 _let_92 _let_89 _let_75) false _let_478 false _let_477 false _let_475 false _let_155 false _let_473 false _let_148 false _let_472 false _let_471 false _let_134 false _let_470 false _let_469 false _let_467 false _let_131 false _let_465 false _let_130 false _let_461 false _let_459 false _let_124 false _let_458 false _let_57 false _let_80)) _let_457 _let_454 :args ((or _let_86 _let_102 _let_479 _let_285 _let_105 _let_70 _let_92 _let_75) false _let_115 true _let_63 true _let_94 true _let_107 true _let_103 false _let_104 false _let_98 false _let_99 false _let_88 true _let_93)) (MACRO_RESOLUTION_TRUST _let_454 _let_451 _let_457 _let_449 _let_569 _let_494 _let_493 _let_492 _let_242 _let_491 _let_239 _let_490 _let_489 _let_232 _let_488 _let_487 _let_486 _let_229 _let_485 _let_224 _let_484 _let_483 _let_219 _let_482 _let_443 _let_448 (EQ_RESOLVE (ASSUME :args (_let_48)) (MACRO_SR_EQ_INTRO :args (_let_48 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))) _let_577 _let_576 :args ((or _let_97 _let_430 _let_479 _let_70 _let_92 _let_75) true _let_86 false _let_93 true _let_85 true _let_88 false _let_478 false _let_477 false _let_475 false _let_155 false _let_473 false _let_148 false _let_472 false _let_471 false _let_134 false _let_470 false _let_469 false _let_467 false _let_131 false _let_465 false _let_130 false _let_461 false _let_459 false _let_124 false _let_458 false _let_81 false _let_83 false _let_57 false _let_80 false _let_78 false _let_77)) _let_570 :args ((or _let_430 _let_479 _let_105 _let_70 _let_92 _let_75) false _let_116 false _let_178 false _let_177 false _let_176 false _let_175 false _let_174 false _let_173 false _let_172 false _let_170 false _let_169 false _let_168 false _let_166 false _let_164 false _let_162 false _let_159 false _let_156 false _let_155 false _let_152 false _let_151 false _let_148 false _let_146 false _let_144 false _let_141 false _let_139 false _let_137 false _let_136 false _let_134 false _let_133 false _let_131 false _let_130 false _let_127 false _let_124 false _let_122 false _let_118 false _let_175 false _let_174 false _let_172 false _let_170 false _let_166 false _let_164 false _let_162 false _let_156 false _let_152 false _let_151 false _let_141 false _let_131 false _let_130 false _let_127 false _let_124 false _let_122 false _let_65 true _let_71 false _let_109 false _let_112 true _let_63 true _let_114 true _let_107 true _let_94 false _let_104 true _let_103 false _let_99 false _let_98 true _let_77 false _let_120 false _let_85 false _let_575 false _let_86 false _let_97 false _let_76)) _let_570 :args ((or _let_430 _let_105 _let_70 _let_92 _let_75) false _let_118 false _let_175 false _let_174 false _let_172 false _let_170 false _let_166 false _let_164 false _let_162 false _let_156 false _let_152 false _let_151 false _let_141 false _let_131 false _let_130 false _let_127 false _let_124 false _let_122 false _let_116 false _let_178 false _let_177 false _let_176 false _let_175 false _let_174 false _let_173 false _let_172 false _let_170 false _let_169 false _let_168 false _let_166 false _let_164 false _let_162 false _let_159 false _let_156 false _let_155 false _let_152 false _let_151 false _let_148 false _let_146 false _let_144 false _let_141 false _let_139 false _let_137 false _let_136 false _let_134 false _let_133 false _let_131 false _let_130 false _let_127 false _let_124 false _let_122 false _let_120 false _let_65 false _let_86 true _let_71 true _let_115 false _let_109 false _let_112 true _let_63 true _let_114 true _let_107 true _let_94 false _let_104 true _let_103 false _let_99 false _let_98 false _let_97 true _let_79 false _let_76)) :args ((or _let_430 _let_70 _let_92 _let_75) false _let_93 true _let_86 true _let_88 false _let_478 false _let_477 false _let_475 false _let_155 false _let_473 false _let_148 false _let_472 false _let_471 false _let_134 false _let_470 false _let_469 false _let_467 false _let_131 false _let_465 false _let_130 false _let_461 false _let_459 false _let_124 false _let_458 true _let_85 false _let_57 false _let_80 false _let_79 true _let_100)) _let_570 :args ((or _let_430 _let_70 _let_75) false _let_118 false _let_175 false _let_174 false _let_172 false _let_170 false _let_166 false _let_164 false _let_162 false _let_156 false _let_152 false _let_151 false _let_141 false _let_131 false _let_130 false _let_127 false _let_124 false _let_122 false _let_116 false _let_178 false _let_177 false _let_176 false _let_175 false _let_174 false _let_173 false _let_172 false _let_170 false _let_169 false _let_168 false _let_166 false _let_164 false _let_162 false _let_159 false _let_156 false _let_155 false _let_152 false _let_151 false _let_148 false _let_146 false _let_144 false _let_141 false _let_139 false _let_137 false _let_136 false _let_134 false _let_133 false _let_131 false _let_130 false _let_127 false _let_124 false _let_122 false _let_109 false _let_112 true _let_114 true _let_94 true _let_103 false _let_98 false _let_97 true _let_78 false _let_77 false _let_65 true _let_71 true _let_63 true _let_107 false _let_120 false _let_85 false _let_86 false _let_93 true _let_91 false _let_76)))) (let ((_let_862 (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_89 _let_95 (not _let_96)))))) (let ((_let_863 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_188 :args (_let_73 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiply X4 tptp.sk_c8)))) :args _let_187)))) (let ((_let_864 (MACRO_RESOLUTION_TRUST _let_207 _let_203 :args ((or _let_94 _let_63 _let_86) true _let_115)))) (let ((_let_865 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_198 :args (tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_197)) :args _let_196)))) (let ((_let_866 (not _let_62))) (let ((_let_867 (and _let_79 _let_80))) (let ((_let_868 (RESOLUTION (CNF_AND_NEG :args (_let_867)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_520 _let_528) (SCOPE (TRANS _let_530 (CONG _let_183 _let_521 :args _let_181)) :args (_let_80 _let_79))) :args (_let_79 _let_80))) :args (true _let_867)))) (let ((_let_869 (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_58 _let_61 _let_866))))) (let ((_let_870 (MACRO_RESOLUTION_TRUST _let_869 _let_868 _let_579 _let_578 _let_854 :args ((or _let_99 _let_866) false _let_60 false _let_57 false _let_80 false _let_79)))) (let ((_let_871 (MACRO_RESOLUTION_TRUST _let_206 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_71 0)) (CONG _let_208 (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_69))) :args _let_192)) :args ((or _let_69 _let_71))) (MACRO_RESOLUTION_TRUST _let_863 _let_862 _let_864 _let_457 _let_865 _let_454 _let_869 _let_451 _let_868 _let_450 _let_481 _let_480 _let_433 _let_432 _let_431 (MACRO_RESOLUTION_TRUST _let_869 _let_868 _let_857 _let_856 _let_855 _let_191 _let_186 _let_870 _let_199 _let_865 _let_864 _let_863 _let_862 _let_457 _let_454 (MACRO_RESOLUTION_TRUST _let_428 _let_426 _let_254 _let_253 _let_251 _let_250 _let_247 _let_246 _let_245 _let_243 _let_241 _let_240 _let_236 _let_229 _let_224 _let_223 _let_219 _let_218 _let_419 _let_257 _let_256 _let_255 _let_254 _let_253 _let_252 _let_251 _let_250 _let_249 _let_248 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_229 _let_224 _let_223 _let_219 _let_218 _let_202 _let_201 _let_195 _let_189 _let_179 _let_649 _let_577 _let_450 _let_860 _let_209 _let_206 _let_199 _let_859 _let_213 _let_451 _let_429 :args ((or _let_285 _let_452 _let_70) false _let_118 false _let_175 false _let_174 false _let_172 false _let_170 false _let_166 false _let_164 false _let_162 false _let_156 false _let_152 false _let_151 false _let_141 false _let_131 false _let_130 false _let_127 false _let_124 false _let_122 false _let_116 false _let_178 false _let_177 false _let_176 false _let_175 false _let_174 false _let_173 false _let_172 false _let_170 false _let_169 false _let_168 false _let_166 false _let_164 false _let_162 false _let_159 false _let_156 false _let_155 false _let_152 false _let_151 false _let_148 false _let_146 false _let_144 false _let_141 false _let_139 false _let_137 false _let_136 false _let_134 false _let_133 false _let_131 false _let_130 false _let_127 false _let_124 false _let_122 false _let_109 false _let_112 true _let_114 true _let_94 true _let_103 false _let_98 false _let_97 true _let_78 false _let_77 false _let_65 true _let_71 true _let_63 true _let_107 false _let_120 false _let_85 false _let_72)) _let_861 _let_429 :args ((or _let_285 _let_70) false _let_60 false _let_57 false _let_80 false _let_79 true _let_100 false _let_104 false _let_99 false _let_107 false _let_62 false _let_63 true _let_94 true _let_96 false _let_88 true _let_93 true _let_86 false _let_75 false _let_72)) _let_861 _let_429 :args (_let_70 true _let_96 false _let_94 false _let_88 true _let_63 true _let_93 true _let_62 true _let_86 false _let_60 true _let_85 false _let_57 false _let_80 false _let_79 false _let_78 false _let_77 true _let_76 false _let_75 false _let_72)) :args (_let_71 true _let_69)) :args (_let_63 false _let_71)))) (let ((_let_872 (MACRO_RESOLUTION_TRUST _let_865 _let_871 :args (_let_62 false _let_63)))) (let ((_let_873 (MACRO_RESOLUTION_TRUST _let_191 (MACRO_RESOLUTION_TRUST _let_186 (MACRO_RESOLUTION_TRUST _let_869 _let_872 _let_868 _let_481 _let_480 _let_433 :args (_let_76 false _let_62 false _let_60 false _let_57 false _let_80 false _let_79)) (MACRO_RESOLUTION_TRUST _let_870 _let_872 :args (_let_99 false _let_62)) :args (_let_104 false _let_76 false _let_99)) (MACRO_RESOLUTION_TRUST _let_199 _let_871 :args (_let_107 false _let_63)) :args (_let_105 false _let_104 false _let_107)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_869 (MACRO_RESOLUTION_TRUST _let_868 (MACRO_RESOLUTION_TRUST _let_855 _let_873 :args (_let_79 true _let_100)) (MACRO_RESOLUTION_TRUST _let_856 _let_873 :args (_let_80 true _let_100)) :args (_let_60 false _let_79 false _let_80)) (MACRO_RESOLUTION_TRUST _let_857 _let_873 :args (_let_57 true _let_100)) _let_872 :args (false false _let_60 false _let_57 false _let_62)) :args (_let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_45 _let_44 _let_43 _let_42 _let_41 _let_40 _let_37 _let_36 _let_35 _let_34 _let_33 _let_32 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_21 _let_18 _let_15 _let_12 _let_9 _let_6 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.24/1.43  )
% 1.24/1.43  % SZS output end Proof for GRP223-1
% 1.24/1.43  % cvc5---1.0.5 exiting
% 1.24/1.43  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------