TSTP Solution File: GRP241-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP241-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 00:25:18 EDT 2023

% Result   : Unsatisfiable 1.04s 1.27s
% Output   : Proof 1.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08  % Problem    : GRP241-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.09  % Command    : do_cvc5 %s %d
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Mon Aug 28 21:07:46 EDT 2023
% 0.08/0.28  % CPUTime    : 
% 0.13/0.37  %----Proving TF0_NAR, FOF, or CNF
% 0.13/0.37  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.5XBlwi6l3f/cvc5---1.0.5_7785.p...
% 0.13/0.37  ------- get file name : TPTP file name is GRP241-1
% 0.13/0.38  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_7785.smt2...
% 0.13/0.38  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.04/1.27  % SZS status Unsatisfiable for GRP241-1
% 1.04/1.27  % SZS output start Proof for GRP241-1
% 1.12/1.33  (
% 1.12/1.33  (let ((_let_1 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse tptp.sk_c7) tptp.sk_c8)) (not (= (tptp.multiply X4 tptp.sk_c7) tptp.sk_c8)) (not (= (tptp.inverse X4) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c8 X5) tptp.sk_c7)) (not (= (tptp.multiply X6 tptp.sk_c8) X5)) (not (= (tptp.inverse X6) tptp.sk_c8)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c8)) (not (= (tptp.multiply tptp.sk_c8 X2) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c8) X2)) (not (= (tptp.inverse X3) tptp.sk_c8)))))) (let ((_let_2 (tptp.inverse tptp.sk_c5))) (let ((_let_3 (= _let_2 tptp.sk_c8))) (let ((_let_4 (tptp.inverse tptp.sk_c2))) (let ((_let_5 (= _let_4 tptp.sk_c8))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (let ((_let_8 (= _let_7 tptp.sk_c6))) (let ((_let_9 (or _let_5 _let_8))) (let ((_let_10 (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (let ((_let_11 (= _let_10 tptp.sk_c7))) (let ((_let_12 (or _let_5 _let_11))) (let ((_let_13 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (let ((_let_14 (= _let_13 tptp.sk_c8))) (let ((_let_15 (or _let_5 _let_14))) (let ((_let_16 (tptp.inverse tptp.sk_c4))) (let ((_let_17 (= _let_16 tptp.sk_c8))) (let ((_let_18 (or _let_5 _let_17))) (let ((_let_19 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (let ((_let_20 (= _let_19 tptp.sk_c3))) (let ((_let_21 (or _let_20 _let_3))) (let ((_let_22 (or _let_20 _let_8))) (let ((_let_23 (or _let_20 _let_11))) (let ((_let_24 (or _let_20 _let_14))) (let ((_let_25 (or _let_20 _let_17))) (let ((_let_26 (tptp.multiply tptp.sk_c8 tptp.sk_c3))) (let ((_let_27 (= _let_26 tptp.sk_c7))) (let ((_let_28 (or _let_27 _let_3))) (let ((_let_29 (or _let_27 _let_8))) (let ((_let_30 (or _let_27 _let_11))) (let ((_let_31 (or _let_27 _let_14))) (let ((_let_32 (or _let_27 _let_17))) (let ((_let_33 (tptp.inverse tptp.sk_c1))) (let ((_let_34 (= _let_33 tptp.sk_c7))) (let ((_let_35 (or _let_34 _let_14))) (let ((_let_36 (or _let_34 _let_17))) (let ((_let_37 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (let ((_let_38 (= _let_37 tptp.sk_c8))) (let ((_let_39 (or _let_38 _let_14))) (let ((_let_40 (or _let_38 _let_17))) (let ((_let_41 (tptp.inverse tptp.sk_c7))) (let ((_let_42 (= _let_41 tptp.sk_c8))) (let ((_let_43 (or _let_42 _let_3))) (let ((_let_44 (or _let_42 _let_8))) (let ((_let_45 (or _let_42 _let_11))) (let ((_let_46 (or _let_42 _let_17))) (let ((_let_47 (tptp.inverse tptp.sk_c8))) (let ((_let_48 (= _let_47 tptp.sk_c7))) (let ((_let_49 (or _let_48 _let_3))) (let ((_let_50 (or _let_48 _let_8))) (let ((_let_51 (or _let_48 _let_11))) (let ((_let_52 (or _let_48 _let_14))) (let ((_let_53 (or _let_48 _let_17))) (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 $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_57 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_58 (= tptp.sk_c7 _let_57))) (let ((_let_59 (not _let_58))) (let ((_let_60 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c7))) (let ((_let_61 (= tptp.sk_c8 _let_60))) (let ((_let_62 (not _let_61))) (let ((_let_63 (or _let_62 _let_59))) (let ((_let_64 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X4 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X4))))))) (let ((_let_65 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_66 (= tptp.sk_c7 _let_65))) (let ((_let_67 (not _let_66))) (let ((_let_68 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c7))) (let ((_let_69 (= tptp.sk_c8 _let_68))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_67))) (let ((_let_72 (= tptp.sk_c8 _let_57))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c8))) (let ((_let_75 (tptp.multiply tptp.sk_c8 _let_74))) (let ((_let_76 (= tptp.sk_c7 _let_75))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_73))) (let ((_let_79 (forall ((X6 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 (tptp.multiply X6 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X6))))))) (let ((_let_80 (= tptp.sk_c8 _let_16))) (let ((_let_81 (not _let_80))) (let ((_let_82 (tptp.multiply tptp.sk_c4 tptp.sk_c8))) (let ((_let_83 (tptp.multiply tptp.sk_c8 _let_82))) (let ((_let_84 (= tptp.sk_c7 _let_83))) (let ((_let_85 (not _let_84))) (let ((_let_86 (or _let_85 _let_81))) (let ((_let_87 (= tptp.sk_c8 _let_4))) (let ((_let_88 (not _let_87))) (let ((_let_89 (tptp.multiply tptp.sk_c8 _let_19))) (let ((_let_90 (= tptp.sk_c7 _let_89))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_88))) (let ((_let_93 (= tptp.sk_c8 _let_41))) (let ((_let_94 (not _let_93))) (let ((_let_95 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c7 tptp.sk_c8))))) (let ((_let_96 (not _let_95))) (let ((_let_97 (or _let_96 _let_94))) (let ((_let_98 (= tptp.identity (tptp.multiply _let_16 tptp.sk_c4)))) (let ((_let_99 (tptp.multiply _let_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_100 (= tptp.identity _let_99))) (let ((_let_101 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (let ((_let_102 (tptp.multiply tptp.identity tptp.sk_c4))) (let ((_let_103 (= tptp.sk_c4 _let_102))) (let ((_let_104 (= _let_83 (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c4) tptp.sk_c8)))) (let ((_let_105 (= tptp.sk_c7 _let_16))) (let ((_let_106 (= tptp.sk_c8 _let_13))) (let ((_let_107 (= tptp.sk_c7 _let_26))) (let ((_let_108 (= tptp.sk_c3 _let_19))) (let ((_let_109 (or))) (let ((_let_110 (not _let_64))) (let ((_let_111 (_let_110))) (let ((_let_112 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_111)) :args _let_111)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_64))) (REFL :args ((not _let_71))) :args _let_109)))) (let ((_let_113 (REFL :args (_let_71)))) (let ((_let_114 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_71 0)) (CONG _let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_69))) :args _let_109)) :args ((or _let_69 _let_71))))) (let ((_let_115 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_71 1)) (CONG _let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_67) _let_66))) :args _let_109)) :args ((or _let_66 _let_71))))) (let ((_let_116 (tptp.multiply _let_57 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_117 (= tptp.identity _let_116))) (let ((_let_118 (= (tptp.multiply _let_116 tptp.sk_c8) (tptp.multiply _let_57 _let_74)))) (let ((_let_119 (= tptp.sk_c7 _let_47))) (let ((_let_120 (= tptp.identity (tptp.multiply _let_47 tptp.sk_c8)))) (let ((_let_121 (tptp.multiply tptp.sk_c7 _let_74))) (let ((_let_122 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_121))) (let ((_let_123 (= (tptp.multiply _let_68 _let_74) _let_122))) (let ((_let_124 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_125 (tptp.multiply _let_124 tptp.sk_c7))) (let ((_let_126 (= _let_125 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_68)))) (let ((_let_127 (tptp.multiply tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_128 (tptp.multiply _let_127 tptp.sk_c8))) (let ((_let_129 (= _let_75 _let_128))) (let ((_let_130 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_75))) (let ((_let_131 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c8))) (let ((_let_132 (tptp.multiply _let_131 _let_74))) (let ((_let_133 (= _let_132 _let_130))) (let ((_let_134 (= (tptp.multiply _let_99 tptp.sk_c8) (tptp.multiply _let_65 _let_131)))) (let ((_let_135 (tptp.multiply tptp.sk_c8 _let_124))) (let ((_let_136 (= (tptp.multiply _let_135 tptp.sk_c7) (tptp.multiply tptp.sk_c8 _let_125)))) (let ((_let_137 (tptp.multiply _let_127 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_138 (= _let_135 _let_137))) (let ((_let_139 (tptp.multiply _let_74 _let_131))) (let ((_let_140 (= (tptp.multiply _let_75 _let_131) (tptp.multiply tptp.sk_c8 _let_139)))) (let ((_let_141 (tptp.multiply _let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_142 (tptp.multiply _let_141 tptp.sk_c8))) (let ((_let_143 (tptp.multiply _let_141 _let_75))) (let ((_let_144 (= _let_143 (tptp.multiply _let_142 _let_74)))) (let ((_let_145 (= _let_142 (tptp.multiply _let_47 _let_131)))) (let ((_let_146 (= (tptp.multiply _let_125 _let_131) (tptp.multiply _let_124 (tptp.multiply tptp.sk_c7 _let_131))))) (let ((_let_147 (tptp.multiply _let_137 tptp.sk_c8))) (let ((_let_148 (tptp.multiply _let_137 _let_75))) (let ((_let_149 (= _let_148 (tptp.multiply _let_147 _let_74)))) (let ((_let_150 (= _let_124 (tptp.multiply tptp.identity _let_124)))) (let ((_let_151 (= (tptp.multiply _let_141 _let_122) (tptp.multiply _let_47 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_122))))) (let ((_let_152 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (let ((_let_153 (= (tptp.multiply _let_102 tptp.sk_c8) (tptp.multiply tptp.identity _let_82)))) (let ((_let_154 (= (tptp.multiply (tptp.multiply _let_65 _let_137) tptp.sk_c8) (tptp.multiply _let_65 _let_147)))) (let ((_let_155 (= (tptp.multiply _let_135 tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply _let_124 tptp.sk_c8))))) (let ((_let_156 (= (tptp.multiply (tptp.multiply _let_65 tptp.sk_c8) _let_124) (tptp.multiply _let_65 _let_135)))) (let ((_let_157 (REFL :args (_let_78)))) (let ((_let_158 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 0)) (CONG _let_157 (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_76))) :args _let_109)) :args ((or _let_76 _let_78))))) (let ((_let_159 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 1)) (CONG _let_157 (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) :args _let_109)) :args ((or _let_72 _let_78))))) (let ((_let_160 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_161 (EQ_RESOLVE (ASSUME :args (_let_55)) (MACRO_SR_EQ_INTRO :args (_let_55 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_162 (_let_160))) (let ((_let_163 ((tptp.inverse X)))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_163)) :args _let_162)) _let_161 :args (_let_117 false _let_160)))) (let ((_let_165 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_166 (EQ_RESOLVE (ASSUME :args (_let_56)) (MACRO_SR_EQ_INTRO :args (_let_56 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_167 (_let_165))) (let ((_let_168 ((tptp.multiply tptp.identity X)))) (let ((_let_169 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_167)) _let_166 :args (_let_101 false _let_165)))) (let ((_let_170 (_let_54))) (let ((_let_171 (ASSUME :args _let_170))) (let ((_let_172 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_173 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_57 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_118 false _let_54)))) (let ((_let_174 (= tptp.sk_c7 _let_10))) (let ((_let_175 (= tptp.sk_c6 _let_7))) (let ((_let_176 (= tptp.sk_c8 _let_2))) (let ((_let_177 (tptp.multiply tptp.sk_c8 _let_7))) (let ((_let_178 (= tptp.sk_c7 _let_177))) (let ((_let_179 (= tptp.identity (tptp.multiply _let_2 tptp.sk_c5)))) (let ((_let_180 (= (tptp.multiply (tptp.multiply tptp.sk_c8 tptp.sk_c5) tptp.sk_c8) _let_177))) (let ((_let_181 (not _let_176))) (let ((_let_182 (not _let_178))) (let ((_let_183 (or _let_182 _let_181))) (let ((_let_184 (not _let_105))) (let ((_let_185 (not _let_106))) (let ((_let_186 (or _let_185 _let_184))) (let ((_let_187 (= tptp.identity (tptp.multiply _let_41 tptp.sk_c7)))) (let ((_let_188 (tptp.multiply tptp.sk_c5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_189 (tptp.multiply _let_188 tptp.sk_c7))) (let ((_let_190 (= _let_189 (tptp.multiply tptp.sk_c5 _let_68)))) (let ((_let_191 (tptp.multiply _let_74 tptp.sk_c6))) (let ((_let_192 (tptp.multiply _let_131 _let_191))) (let ((_let_193 (= (tptp.multiply _let_132 tptp.sk_c6) _let_192))) (let ((_let_194 (tptp.multiply _let_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_195 (= (tptp.multiply _let_130 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_194)))) (let ((_let_196 (= (tptp.multiply _let_122 tptp.sk_c6) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.multiply _let_121 tptp.sk_c6))))) (let ((_let_197 (tptp.multiply tptp.sk_c8 _let_188))) (let ((_let_198 (= (tptp.multiply _let_197 tptp.sk_c7) (tptp.multiply tptp.sk_c8 _let_189)))) (let ((_let_199 (tptp.multiply tptp.sk_c7 _let_188))) (let ((_let_200 (= (tptp.multiply _let_199 tptp.sk_c7) (tptp.multiply tptp.sk_c7 _let_189)))) (let ((_let_201 (= (tptp.multiply (tptp.multiply _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_121) (tptp.multiply _let_41 _let_122)))) (let ((_let_202 (= _let_143 (tptp.multiply _let_47 _let_130)))) (let ((_let_203 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_204 (tptp.multiply _let_74 _let_188))) (let ((_let_205 (= (tptp.multiply _let_75 _let_188) (tptp.multiply tptp.sk_c8 _let_204)))) (let ((_let_206 (= (tptp.multiply (tptp.multiply tptp.sk_c4 _let_137) _let_75) (tptp.multiply tptp.sk_c4 _let_148)))) (let ((_let_207 (= (tptp.multiply (tptp.multiply _let_124 _let_131) _let_191) (tptp.multiply _let_124 _let_192)))) (let ((_let_208 (tptp.multiply _let_188 _let_131))) (let ((_let_209 (= (tptp.multiply _let_208 _let_191) (tptp.multiply _let_188 _let_192)))) (let ((_let_210 (= (tptp.multiply (tptp.multiply _let_41 tptp.sk_c8) _let_74) (tptp.multiply _let_41 _let_75)))) (let ((_let_211 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (let ((_let_212 (tptp.multiply _let_211 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_213 (= _let_199 _let_212))) (let ((_let_214 (tptp.multiply tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_215 (tptp.multiply tptp.sk_c7 _let_124))) (let ((_let_216 (= _let_215 (tptp.multiply _let_214 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_217 (= (tptp.multiply _let_204 tptp.sk_c7) (tptp.multiply _let_74 _let_189)))) (let ((_let_218 (= _let_74 (tptp.multiply tptp.identity _let_74)))) (let ((_let_219 (tptp.multiply _let_188 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_220 (= (tptp.multiply _let_199 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.multiply tptp.sk_c7 _let_219)))) (let ((_let_221 (tptp.multiply tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_222 (= (tptp.multiply _let_221 _let_137) (tptp.multiply tptp.sk_c4 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 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_let_235 _let_238 _let_239 _let_240 _let_241 _let_242 _let_243 _let_103 _let_244 _let_245 _let_246 _let_247 _let_248 _let_249 _let_250 _let_251)) SB_LITERAL))) (CONG _let_371 (REFL :args (_let_185)) (REFL :args (_let_365)) (REFL :args (_let_364)) (REFL :args (_let_181)) (MACRO_SR_PRED_INTRO :args ((= (not _let_370) _let_119))) (REFL :args (_let_77)) (REFL :args (_let_73)) (REFL :args (_let_70)) (REFL :args (_let_363)) (REFL :args (_let_362)) _let_369 (REFL :args (_let_360)) (REFL :args (_let_359)) _let_368 (REFL :args (_let_357)) (REFL :args (_let_356)) (REFL :args (_let_355)) (REFL :args (_let_354)) _let_367 (REFL :args (_let_352)) (REFL :args (_let_351)) (REFL :args (_let_350)) (REFL :args (_let_349)) (REFL :args (_let_348)) (REFL :args (_let_347)) (REFL :args (_let_346)) (REFL :args (_let_345)) (REFL :args (_let_344)) (REFL :args (_let_343)) (REFL :args (_let_342)) (REFL :args (_let_341)) (REFL :args (_let_340)) (REFL :args (_let_339)) (REFL :args (_let_338)) (REFL :args (_let_337)) (REFL :args (_let_336)) (REFL :args (_let_335)) (REFL :args (_let_334)) (REFL :args (_let_333)) (REFL :args (_let_332)) (REFL :args (_let_331)) (REFL :args (_let_330)) (REFL :args (_let_329)) (REFL :args (_let_328)) (REFL :args (_let_327)) (REFL :args (_let_326)) (REFL :args (_let_325)) (REFL :args (_let_324)) (REFL :args (_let_323)) (REFL :args (_let_322)) (REFL :args (_let_321)) (REFL :args (_let_320)) (REFL :args (_let_319)) (REFL :args (_let_318)) (REFL :args (_let_317)) (REFL :args (_let_316)) _let_366 (REFL :args (_let_314)) (REFL :args (_let_313)) (REFL :args (_let_312)) (REFL :args (_let_311)) (REFL :args (_let_310)) (REFL :args (_let_309)) (REFL :args (_let_308)) (REFL :args (_let_307)) :args _let_109)) :args ((or _let_119 _let_81 _let_185 _let_365 _let_364 _let_181 _let_77 _let_73 _let_70 _let_363 _let_362 _let_361 _let_360 _let_359 _let_358 _let_357 _let_356 _let_355 _let_354 _let_353 _let_352 _let_351 _let_350 _let_349 _let_348 _let_347 _let_346 _let_345 _let_344 _let_343 _let_342 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_335 _let_334 _let_333 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_208 _let_236 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_251 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_211 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_250 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_188 tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_249 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_223 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_248 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (_let_188 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_167)) _let_166 :args (_let_247 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (_let_189 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_167)) _let_166 :args (_let_246 false _let_165)) _let_306 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_167)) _let_166 :args (_let_244 false _let_165)) _let_305 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c4 tptp.sk_c7 _let_124 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_243 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c8 _let_188 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170))) _let_171 :args (_let_242 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c8 _let_124 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170))) _let_171 :args (_let_241 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_137 tptp.sk_c7 _let_124 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_240 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_74 tptp.sk_c5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170))) _let_171 :args (_let_239 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_74 tptp.sk_c5 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_238 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_121 _let_188 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_235 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_127 tptp.sk_c7 _let_188 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_234 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_127 tptp.sk_c8 _let_74 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_233 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_124 _let_211 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_232 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c4 tptp.sk_c7 _let_188 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_231 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_47 tptp.sk_c7 _let_188 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_230 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c5 tptp.sk_c7 _let_188 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_229 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c7 _let_188 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_228 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_124 tptp.sk_c7 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_227 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_124 tptp.sk_c7 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_225 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_224 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_137 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_222 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c7 _let_188 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_220 false _let_54)) _let_304 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_74 _let_188 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_217 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170))) _let_171 :args (_let_216 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c7 tptp.sk_c5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170))) _let_171 :args (_let_213 false _let_54)) _let_303 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_188 _let_131 _let_191 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_209 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_124 _let_131 _let_191 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_207 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c4 _let_137 _let_75 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_206 false _let_54)) _let_302 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c8 _let_74 _let_188 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_205 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_167)) _let_166 :args (_let_203 false _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_75 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_202 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_121 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_201 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c7 _let_188 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_200 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c8 _let_188 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_198 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_121 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_196 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_195 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_131 _let_74 tptp.sk_c6 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_193 false _let_54)) _let_169 _let_301 _let_300 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_190 false _let_54)) _let_264 _let_262 _let_164 _let_261 _let_299 _let_298 _let_297 _let_114 _let_159 _let_158 _let_112 _let_296 _let_292 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_288 :args (tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_287)) :args _let_286)) _let_285 (REORDERING (CNF_OR_POS :args (_let_183)) :args ((or _let_181 _let_182 (not _let_183)))) _let_284 _let_169 _let_264 _let_262 _let_261 (RESOLUTION (CNF_AND_NEG :args (_let_252)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_254 _let_258) (SCOPE (TRANS _let_260 _let_257) :args (_let_175 _let_174))) :args (_let_174 _let_175))) :args (true _let_252)) (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_50)) (MACRO_SR_EQ_INTRO :args (_let_50 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_51)) (MACRO_SR_EQ_INTRO :args (_let_51 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_52)) (MACRO_SR_EQ_INTRO :args (_let_52 SB_DEFAULT SBA_FIXPOINT))) (EQ_RESOLVE (ASSUME :args (_let_53)) (MACRO_SR_EQ_INTRO :args (_let_53 SB_DEFAULT SBA_FIXPOINT))) :args (_let_119 false _let_251 false _let_250 false _let_249 false _let_248 false _let_247 false _let_246 false _let_245 false _let_244 false _let_103 false _let_243 false _let_242 false _let_241 false _let_240 false _let_239 false _let_238 false _let_235 false _let_234 false _let_233 false _let_232 false _let_231 false _let_230 false _let_229 false _let_228 false _let_227 false _let_225 false _let_224 false _let_222 false _let_220 false _let_218 false _let_217 false _let_216 false _let_213 false _let_210 false _let_209 false _let_207 false _let_206 false _let_138 false _let_205 false _let_203 false _let_202 false _let_201 false _let_200 false _let_198 false _let_196 false _let_195 false _let_193 false _let_101 false _let_133 false _let_129 false _let_190 false _let_180 false _let_100 false _let_117 false _let_179 false _let_98 false _let_187 false _let_120 false _let_69 false _let_72 false _let_76 true _let_71 true _let_78 true _let_64 true _let_79 true _let_186 true _let_183 false _let_105 false _let_101 false _let_180 false _let_100 false _let_179 false _let_178 false _let_176 false _let_175 false _let_174 false _let_106 false _let_80)))) (let ((_let_641 (and _let_119 _let_76 _let_72 _let_117 _let_101 _let_118))) (let ((_let_642 (= tptp.sk_c8 _let_47))) (let ((_let_643 (ASSUME :args (_let_119)))) (let ((_let_644 (SYMM _let_643))) (let ((_let_645 (SYMM _let_644))) (let ((_let_646 (CONG _let_474 _let_410 :args _let_253))) (let ((_let_647 (ASSUME :args (_let_118)))) (let ((_let_648 (SYMM _let_647))) (let ((_let_649 (SYMM _let_648))) (let ((_let_650 (SYMM _let_472))) (let ((_let_651 (CONG _let_650 _let_256 :args _let_253))) (let ((_let_652 (RESOLUTION (CNF_AND_NEG :args (_let_641)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_473 (MODUS_PONENS (AND_INTRO _let_647 _let_269 _let_471 _let_375 _let_473 _let_643) (SCOPE (TRANS _let_271 _let_651 _let_649 _let_646 _let_376 _let_645) :args (_let_118 _let_101 _let_117 _let_76 _let_72 _let_119))) _let_643) (SCOPE (TRANS _let_645 (SYMM (ASSUME :args (_let_642))) _let_475) :args (_let_72 _let_642 _let_119))) :args (_let_119 _let_76 _let_72 _let_117 _let_101 _let_118))) :args (true _let_641)))) (let ((_let_653 (= tptp.sk_c8 _let_37))) (let ((_let_654 (= tptp.sk_c7 _let_33))) (let ((_let_655 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 (tptp.multiply X3 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X3))))))) (let ((_let_656 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (let ((_let_657 (= tptp.sk_c8 (tptp.inverse _let_656)))) (let ((_let_658 (= tptp.identity (tptp.multiply _let_33 tptp.sk_c1)))) (let ((_let_659 (= (tptp.multiply _let_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiply tptp.sk_c1 _let_214)))) (let ((_let_660 (tptp.multiply _let_656 _let_19))) (let ((_let_661 (= (tptp.multiply (tptp.multiply _let_656 tptp.sk_c2) tptp.sk_c8) _let_660))) (let ((_let_662 (tptp.multiply tptp.sk_c8 tptp.sk_c1))) (let ((_let_663 (= (tptp.multiply _let_662 tptp.sk_c7) (tptp.multiply tptp.sk_c8 _let_37)))) (let ((_let_664 (= (tptp.multiply _let_656 _let_47) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c8 _let_47))))) (let ((_let_665 (= _let_660 (tptp.multiply tptp.sk_c1 _let_89)))) (let ((_let_666 (= tptp.sk_c8 (tptp.multiply _let_656 tptp.sk_c7)))) (let ((_let_667 (not _let_666))) (let ((_let_668 (not _let_657))) (let ((_let_669 (or _let_668 _let_667))) (let ((_let_670 (forall ((X1 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(let ((_let_824 (CONG _let_643 _let_256 :args _let_253))) (let ((_let_825 (CONG _let_256 (TRANS _let_824 (CONG (SYMM _let_820) _let_816 :args _let_253) (SYMM _let_823)) :args _let_253))) (let ((_let_826 (ASSUME :args (_let_136)))) (let ((_let_827 (SYMM _let_826))) (let ((_let_828 (CONG _let_433 _let_510 :args _let_253))) (let ((_let_829 (CONG _let_588 (TRANS _let_781 _let_778 _let_777 _let_766 _let_763 _let_376) :args _let_253))) (let ((_let_830 (CONG _let_432 (SYMM _let_789) :args _let_253))) (let ((_let_831 (CONG _let_433 _let_439 :args _let_253))) (let ((_let_832 (ASSUME :args (_let_149)))) (let ((_let_833 (CONG _let_256 (TRANS (SYMM _let_832) _let_831 _let_830 _let_829 _let_828 (SYMM _let_827) (SYMM _let_777) (SYMM _let_778) _let_780 (SYMM _let_786) _let_787 (SYMM _let_793) (SYMM _let_824)) :args _let_253))) (let ((_let_834 (CONG _let_256 _let_832 :args _let_253))) (let ((_let_835 (CONG _let_256 (TRANS _let_405 (SYMM _let_763) (SYMM _let_766) _let_827 (SYMM _let_828) (SYMM 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tptp.sk_c8 _let_861))) (let ((_let_863 (not _let_862))) (let ((_let_864 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_865 (= tptp.sk_c8 _let_864))) (let ((_let_866 (not _let_865))) (let ((_let_867 (or _let_866 _let_863))) (let ((_let_868 (= tptp.identity (tptp.multiply _let_864 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_869 (= (tptp.multiply (tptp.multiply _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) tptp.sk_c8) (tptp.multiply _let_41 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c8))))) (let ((_let_870 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_871 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_872 (tptp.multiply _let_47 _let_871))) (let ((_let_873 (= (tptp.multiply _let_141 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_872))) (let ((_let_874 (= (tptp.multiply _let_872 tptp.sk_c8) (tptp.multiply _let_47 (tptp.multiply _let_871 tptp.sk_c8))))) (let ((_let_875 (tptp.multiply tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_876 (= (tptp.multiply _let_102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply tptp.identity _let_875)))) (let ((_let_877 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) tptp.sk_c7) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_861)))) (let ((_let_878 (= (tptp.multiply _let_875 tptp.sk_c7) (tptp.multiply tptp.sk_c4 _let_861)))) (let ((_let_879 (= (tptp.multiply (tptp.multiply _let_41 _let_47) _let_871) (tptp.multiply _let_41 _let_872)))) (let ((_let_880 (= (tptp.multiply (tptp.multiply tptp.sk_c4 _let_47) _let_871) (tptp.multiply tptp.sk_c4 _let_872)))) (let ((_let_881 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_47) _let_871) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_872)))) (let ((_let_882 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_47) 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(_let_876)))) (let ((_let_914 (SYMM _let_913))) (let ((_let_915 (SYMM _let_914))) (let ((_let_916 (SYMM _let_909))) (let ((_let_917 (SYMM _let_912))) (let ((_let_918 (SYMM _let_897))) (let ((_let_919 (SYMM _let_896))) (let ((_let_920 (SYMM _let_893))) (let ((_let_921 (ASSUME :args (_let_862)))) (let ((_let_922 (SYMM _let_921))) (let ((_let_923 (ASSUME :args (_let_878)))) (let ((_let_924 (SYMM _let_911))) (let ((_let_925 (CONG _let_890 _let_772 :args _let_253))) (let ((_let_926 (CONG (TRANS (CONG _let_890 _let_644 :args _let_253) (SYMM _let_925) (TRANS _let_925 _let_922) (SYMM _let_905)) _let_904 :args _let_253))) (let ((_let_927 (ASSUME :args (_let_881)))) (let ((_let_928 (CONG _let_890 _let_894 :args _let_253))) (let ((_let_929 (ASSUME :args (_let_877)))) (let ((_let_930 (CONG _let_890 _let_921 :args _let_253))) (let ((_let_931 (ASSUME :args (_let_869)))) (let ((_let_932 (ASSUME :args (_let_874)))) (let ((_let_933 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO 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_let_878) _let_758 (not _let_879) (not _let_880) (not _let_881) (not _let_882)))) _let_750 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_47 _let_871 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_882 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_47 _let_871 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_881 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c4 _let_47 _let_871 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_880 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_41 _let_47 _let_871 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_879 false _let_54)) _let_757 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_878 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_877 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.identity tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_876 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_47 _let_871 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_874 false _let_54)) _let_696 _let_640 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_873 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_167)) _let_166 :args (_let_870 false _let_165)) _let_305 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_869 false _let_54)) _let_756 _let_755 _let_169 _let_262 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_163)) :args _let_162)) _let_161 :args (_let_868 false _let_160)) _let_299 _let_298 _let_297 (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_94 _let_96 _let_883))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_867 0)) (CONG 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true _let_843 false _let_80)) (MACRO_RESOLUTION_TRUST _let_284 _let_750 _let_169 _let_264 _let_262 _let_261 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_176 _let_93))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_175 _let_93))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_45)) (MACRO_SR_EQ_INTRO :args (_let_45 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_174 _let_93))) :args ((or _let_93 _let_105) false _let_80 false _let_101 false _let_180 false _let_100 false _let_179 false _let_176 false _let_175 false _let_174)) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_859)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_860 _let_839 _let_266 _let_452 _let_518 _let_273 _let_269) (SCOPE (FALSE_ELIM (TRANS (CONG _let_510 (TRANS _let_267 _let_271 _let_842 _let_840) :args _let_639) (FALSE_INTRO _let_860))) :args (_let_85 _let_104 _let_80 _let_103 _let_98 _let_100 _let_101))) :args (_let_80 _let_98 _let_100 _let_101 _let_85 _let_103 _let_104))) :args (true _let_859)) (CONG _let_371 _let_369 _let_368 _let_367 (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_84))) _let_366 (REFL :args (_let_758)) (REFL :args (_let_184)) :args _let_109)) :args ((or _let_81 _let_361 _let_358 _let_353 _let_84 _let_184 _let_315 _let_758))) _let_750 _let_757 _let_305 _let_169 _let_262 _let_299 (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_81 _let_85 (not _let_86)))) _let_750 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_288 :args (tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.inverse X6)))) :args _let_286)) _let_679 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_288 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_287)) :args _let_286)) _let_296 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_749 _let_640 _let_680 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_288 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_287)) :args _let_286)) (REORDERING (CNF_OR_POS :args (_let_848)) :args ((or _let_847 _let_846 (not _let_848)))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_858)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_266 _let_852 _let_771 _let_768 _let_273 _let_269) (SCOPE (TRANS _let_855 _let_267 _let_271 (CONG (SYMM _let_274) _let_256 :args _let_253) (SYMM _let_769) (CONG (TRANS _let_772 (TRANS _let_855 _let_267)) _let_770 :args _let_253)) :args (_let_80 _let_105 _let_66 _let_134 _let_100 _let_101))) :args (_let_80 _let_66 _let_100 _let_101 _let_134 _let_105))) :args (true _let_858)) :args ((or _let_81 _let_67 _let_358 _let_353 _let_760 _let_845 _let_184))) _let_755 _let_169 _let_262 _let_857 _let_640 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_851)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_771 _let_852 _let_266) (SCOPE (TRANS _let_268 _let_853 _let_773) :args (_let_66 _let_105 _let_80))) :args (_let_80 _let_66 _let_105))) :args (true _let_851)) :args ((or _let_81 _let_67 _let_844 _let_184))) _let_850 _let_849 _let_115 _let_112 :args ((or _let_64 _let_81 _let_185 _let_184) false _let_119 true _let_655 true _let_79 true _let_848 false _let_845 false _let_134 false _let_101 false _let_100 false _let_93 false _let_119 false _let_844 true _let_670 true _let_843 false _let_66 true _let_71)) _let_750 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_761)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_643 _let_375 _let_381 _let_764 _let_269 _let_273 _let_768 _let_771 _let_775 _let_779 _let_783 _let_787 _let_454 _let_735 _let_826 _let_432 _let_802 _let_805 _let_810 _let_452 _let_817 _let_819 _let_821 _let_823 _let_832 _let_404 _let_568 _let_839 _let_266 _let_518) (SCOPE (TRANS _let_269 _let_842 _let_840 (CONG (SYMM _let_836) _let_818 :args _let_253) (CONG (TRANS _let_836 (TRANS _let_269 _let_807 _let_768 _let_806 _let_815 _let_802 _let_814 _let_813 (SYMM _let_822) (SYMM _let_825) (SYMM _let_833) (SYMM _let_834) (SYMM _let_835) (SYMM _let_837) (SYMM _let_838)) (TRANS _let_838 _let_837 _let_835 _let_834 _let_833 _let_825 _let_822 _let_809 _let_804 _let_803 _let_801 _let_774 _let_769 _let_767 _let_800 _let_455 _let_273) _let_274) _let_818 :args _let_253) (SYMM _let_817) (CONG _let_453 _let_256 :args _let_253) (CONG _let_445 _let_816 :args _let_253) (CONG _let_445 (TRANS _let_812 (SYMM _let_811) _let_809 _let_804 _let_803 _let_801 _let_774 _let_769 _let_767 _let_800 _let_455 _let_273 (SYMM _let_795) (SYMM _let_796)) :args _let_253) (CONG _let_445 (TRANS _let_796 _let_795 _let_274 _let_794 _let_793 _let_788 _let_786) :args _let_253) (CONG _let_445 _let_782 :args _let_253) _let_762) :args (_let_119 _let_76 _let_69 _let_126 _let_101 _let_100 _let_134 _let_66 _let_145 _let_144 _let_123 _let_151 _let_120 _let_152 _let_136 _let_138 _let_140 _let_146 _let_155 _let_103 _let_153 _let_150 _let_156 _let_154 _let_149 _let_129 _let_133 _let_104 _let_80 _let_98))) :args (_let_119 _let_80 _let_76 _let_69 _let_66 _let_120 _let_98 _let_100 _let_123 _let_126 _let_129 _let_133 _let_101 _let_134 _let_136 _let_138 _let_140 _let_144 _let_145 _let_146 _let_149 _let_103 _let_150 _let_151 _let_152 _let_153 _let_154 _let_155 _let_156 _let_104))) :args (true _let_761)) :args ((or _let_106 _let_370 _let_81 _let_77 _let_70 _let_67 _let_363 _let_361 _let_358 (not _let_123) (not _let_126) _let_355 _let_354 _let_353 _let_760 (not _let_136) _let_343 (not _let_140) (not _let_144) _let_759 (not _let_146) (not _let_149) _let_315 (not _let_150) (not _let_151) _let_699 (not _let_153) (not _let_154) (not _let_155) (not _let_156) _let_758))) _let_750 _let_757 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_65 tptp.sk_c8 _let_124 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_156 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c8 _let_124 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_155 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_65 _let_137 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_154 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.identity tptp.sk_c4 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_153 false _let_54)) _let_696 _let_640 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_122 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_151 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (_let_124 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_167)) _let_166 :args (_let_150 false _let_165)) _let_305 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_137 tptp.sk_c8 _let_74 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170))) _let_171 :args (_let_149 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_124 tptp.sk_c7 _let_131 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_146 false _let_54)) _let_756 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_171 :args (_let_141 tptp.sk_c8 _let_74 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170))) _let_171 :args (_let_144 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c8 _let_74 _let_131 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_140 false _let_54)) _let_302 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (tptp.sk_c8 _let_124 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_136 false _let_54)) _let_755 _let_169 _let_301 _let_300 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_263)) :args _let_170)) _let_171 :args (_let_126 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_171 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.sk_c7 _let_74 QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_170)) _let_171 :args (_let_123 false _let_54)) _let_262 _let_299 _let_297 _let_754 _let_750 _let_652 _let_640 _let_173 _let_169 _let_164 _let_159 _let_158 _let_114 _let_115 _let_112 :args ((or _let_64 _let_78) false _let_80 false _let_106 false _let_80 false _let_104 false _let_156 false _let_155 false _let_154 false _let_153 false _let_152 false _let_119 false _let_151 false _let_150 false _let_103 false _let_149 false _let_146 false _let_145 false _let_144 false _let_140 false _let_138 false _let_136 false _let_134 false _let_101 false _let_133 false _let_129 false _let_126 false _let_123 false _let_100 false _let_98 false _let_120 false _let_105 false _let_80 false _let_58 false _let_119 false _let_118 false _let_101 false _let_117 false _let_72 false _let_76 false _let_69 false _let_66 true _let_71)) _let_115 _let_114 _let_112 :args (_let_64 false _let_90 false _let_87 false _let_108 false _let_107 true _let_106 false _let_93 true _let_105 false _let_80 false _let_104 false _let_103 false _let_101 false _let_100 false _let_98 true _let_84 false _let_80 false _let_97 false _let_92 false _let_86 false _let_79 false _let_78 false _let_66 false _let_69 true _let_71)))) (let ((_let_937 (MACRO_RESOLUTION_TRUST _let_284 _let_750 _let_169 _let_264 _let_262 _let_261 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_176 _let_87))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_175 _let_87))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_174 _let_87))) _let_678 _let_676 (MACRO_RESOLUTION_TRUST _let_284 _let_750 _let_169 _let_264 _let_262 _let_261 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_176 _let_107))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_175 _let_107))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_174 _let_107))) :args ((or _let_107 _let_105) false _let_80 false _let_101 false _let_180 false _let_100 false _let_179 false _let_176 false _let_175 false _let_174)) (MACRO_RESOLUTION_TRUST _let_284 _let_750 _let_169 _let_264 _let_262 _let_261 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_176 _let_108))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_175 _let_108))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_174 _let_108))) :args ((or _let_108 _let_105) false _let_80 false _let_101 false _let_180 false _let_100 false _let_179 false _let_176 false _let_175 false _let_174)) _let_679 _let_296 (MACRO_RESOLUTION_TRUST _let_754 _let_750 _let_652 _let_640 _let_173 _let_169 _let_164 _let_159 _let_158 :args ((or _let_78 _let_105) false _let_80 false _let_58 false _let_119 false _let_118 false _let_101 false _let_117 false _let_72 false _let_76)) :args (_let_105 false _let_80 false _let_101 false _let_180 false _let_100 false _let_179 false _let_176 false _let_175 false _let_174 true _let_87 false _let_90 false _let_107 false _let_108 false _let_92 false _let_79 false _let_78)))) (let ((_let_938 (MACRO_RESOLUTION_TRUST _let_285 _let_937 (MACRO_RESOLUTION_TRUST _let_292 _let_936 :args (_let_186 false _let_64)) :args (_let_185 false _let_105 false _let_186)))) (let ((_let_939 (MACRO_RESOLUTION_TRUST _let_296 (MACRO_RESOLUTION_TRUST _let_679 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_678 _let_676 _let_935 _let_934 _let_933 :args ((or _let_106 _let_677) false _let_90 false _let_87 false _let_108 false _let_107)) _let_938 :args (_let_677 true _let_106)) :args (_let_294 true _let_92)) :args (_let_293 true _let_79)))) (let ((_let_940 (MACRO_RESOLUTION_TRUST _let_159 _let_939 :args (_let_72 true _let_78)))) (let ((_let_941 (MACRO_RESOLUTION_TRUST _let_158 _let_939 :args (_let_76 true _let_78)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_744 (MACRO_RESOLUTION_TRUST _let_743 _let_640 (MACRO_RESOLUTION_TRUST _let_857 _let_640 _let_750 _let_937 :args (_let_93 false _let_119 false _let_80 false _let_105)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_106 _let_653))) _let_938 :args (_let_653 true _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_106 _let_654))) _let_938 :args (_let_654 true _let_106)) (MACRO_RESOLUTION_TRUST _let_933 _let_938 :args (_let_107 true _let_106)) (MACRO_RESOLUTION_TRUST _let_934 _let_938 :args (_let_108 true _let_106)) _let_941 _let_940 _let_298 _let_693 _let_164 _let_262 _let_300 _let_169 _let_303 _let_304 _let_173 _let_694 _let_695 _let_696 _let_697 :args (_let_61 false _let_119 false _let_93 false _let_653 false _let_654 false _let_107 false _let_108 false _let_76 false _let_72 false _let_187 false _let_658 false _let_117 false _let_100 false _let_129 false _let_101 false _let_210 false _let_218 false _let_118 false _let_661 false _let_663 false _let_152 false _let_665)) (MACRO_RESOLUTION_TRUST _let_652 _let_640 _let_941 _let_940 _let_164 _let_169 _let_173 :args (_let_58 false _let_119 false _let_76 false _let_72 false _let_117 false _let_101 false _let_118)) (MACRO_RESOLUTION_TRUST _let_745 _let_936 :args (_let_63 false _let_64)) :args (false false _let_61 false _let_58 false _let_63)) :args (_let_56 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_46 (or _let_42 _let_14) _let_45 _let_44 _let_43 _let_40 _let_39 (or _let_38 _let_11) (or _let_38 _let_8) (or _let_38 _let_3) _let_36 _let_35 (or _let_34 _let_11) (or _let_34 _let_8) (or _let_34 _let_3) _let_32 _let_31 _let_30 _let_29 _let_28 _let_25 _let_24 _let_23 _let_22 _let_21 _let_18 _let_15 _let_12 _let_9 _let_6 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.12/1.34  )
% 1.12/1.34  % SZS output end Proof for GRP241-1
% 1.12/1.34  % cvc5---1.0.5 exiting
% 1.12/1.34  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------