TSTP Solution File: GRP328-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP328-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 00:25:39 EDT 2023
% Result : Unsatisfiable 0.82s 1.07s
% Output : Proof 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP328-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 21:28:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9qqHT11oRs/cvc5---1.0.5_10822.p...
% 0.19/0.49 ------- get file name : TPTP file name is GRP328-1
% 0.19/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10822.smt2...
% 0.19/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.82/1.07 % SZS status Unsatisfiable for GRP328-1
% 0.82/1.07 % SZS output start Proof for GRP328-1
% 0.90/1.10 (
% 0.90/1.10 (let ((_let_1 (forall ((X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c8) tptp.sk_c6)) (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c8)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c8 X4) tptp.sk_c7)) (not (= (tptp.multiply X5 tptp.sk_c8) X4)) (not (= (tptp.inverse X5) tptp.sk_c8)) (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c8)) (not (= (tptp.inverse tptp.sk_c8) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c8 X1) tptp.sk_c7)) (not (= (tptp.multiply X2 tptp.sk_c8) X1)) (not (= (tptp.inverse X2) tptp.sk_c8)))))) (let ((_let_2 (tptp.inverse tptp.sk_c4))) (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_c4 tptp.sk_c8))) (let ((_let_8 (= _let_7 tptp.sk_c5))) (let ((_let_9 (or _let_5 _let_8))) (let ((_let_10 (tptp.multiply tptp.sk_c8 tptp.sk_c5))) (let ((_let_11 (= _let_10 tptp.sk_c7))) (let ((_let_12 (or _let_5 _let_11))) (let ((_let_13 (tptp.inverse tptp.sk_c8))) (let ((_let_14 (= _let_13 tptp.sk_c6))) (let ((_let_15 (or _let_5 _let_14))) (let ((_let_16 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (let ((_let_17 (= _let_16 tptp.sk_c8))) (let ((_let_18 (tptp.multiply tptp.sk_c2 tptp.sk_c8))) (let ((_let_19 (= _let_18 tptp.sk_c3))) (let ((_let_20 (or _let_19 _let_3))) (let ((_let_21 (or _let_19 _let_8))) (let ((_let_22 (or _let_19 _let_11))) (let ((_let_23 (or _let_19 _let_14))) (let ((_let_24 (tptp.multiply tptp.sk_c8 tptp.sk_c3))) (let ((_let_25 (= _let_24 tptp.sk_c7))) (let ((_let_26 (or _let_25 _let_3))) (let ((_let_27 (or _let_25 _let_8))) (let ((_let_28 (or _let_25 _let_11))) (let ((_let_29 (or _let_25 _let_14))) (let ((_let_30 (tptp.inverse tptp.sk_c1))) (let ((_let_31 (= _let_30 tptp.sk_c7))) (let ((_let_32 (or _let_31 _let_3))) (let ((_let_33 (or _let_31 _let_11))) (let ((_let_34 (or _let_31 _let_14))) (let ((_let_35 (or _let_31 _let_17))) (let ((_let_36 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (let ((_let_37 (= _let_36 tptp.sk_c8))) (let ((_let_38 (or _let_37 _let_3))) (let ((_let_39 (or _let_37 _let_11))) (let ((_let_40 (or _let_37 _let_14))) (let ((_let_41 (or _let_37 _let_17))) (let ((_let_42 (tptp.multiply tptp.sk_c7 tptp.sk_c8))) (let ((_let_43 (= _let_42 tptp.sk_c6))) (let ((_let_44 (or _let_43 _let_3))) (let ((_let_45 (or _let_43 _let_11))) (let ((_let_46 (or _let_43 _let_14))) (let ((_let_47 (or _let_43 _let_17))) (let ((_let_48 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_49 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_50 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_51 (tptp.multiply _let_13 tptp.sk_c8))) (let ((_let_52 (= tptp.identity _let_51))) (let ((_let_53 (= tptp.identity (tptp.multiply _let_30 tptp.sk_c1)))) (let ((_let_54 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_55 (tptp.multiply _let_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_56 (= tptp.identity _let_55))) (let ((_let_57 (tptp.multiply tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_58 (tptp.multiply _let_57 tptp.sk_c8))) (let ((_let_59 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c8))) (let ((_let_60 (tptp.multiply tptp.sk_c8 _let_59))) (let ((_let_61 (= _let_60 _let_58))) (let ((_let_62 (= tptp.sk_c8 (tptp.multiply tptp.identity tptp.sk_c8)))) (let ((_let_63 (= (tptp.multiply _let_51 _let_59) (tptp.multiply _let_13 _let_60)))) (let ((_let_64 (= _let_59 (tptp.multiply tptp.identity _let_59)))) (let ((_let_65 (tptp.multiply tptp.sk_c6 tptp.sk_c8))) (let ((_let_66 (= (tptp.multiply _let_16 tptp.sk_c8) (tptp.multiply tptp.sk_c7 _let_65)))) (let ((_let_67 (= (tptp.multiply _let_16 _let_59) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c6 _let_59))))) (let ((_let_68 (= (tptp.multiply _let_55 tptp.sk_c8) (tptp.multiply _let_54 _let_59)))) (let ((_let_69 (tptp.multiply _let_59 _let_59))) (let ((_let_70 (= (tptp.multiply _let_42 _let_69) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 _let_69))))) (let ((_let_71 (tptp.multiply tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_72 (tptp.multiply tptp.sk_c1 _let_71))) (let ((_let_73 (= (tptp.multiply _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_72))) (let ((_let_74 (tptp.multiply _let_60 _let_65))) (let ((_let_75 (= _let_74 (tptp.multiply tptp.sk_c8 (tptp.multiply _let_59 _let_65))))) (let ((_let_76 (= (tptp.multiply _let_58 _let_59) (tptp.multiply _let_57 _let_60)))) (let ((_let_77 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) _let_71) (tptp.multiply tptp.sk_c7 _let_72)))) (let ((_let_78 (= tptp.sk_c6 _let_13))) (let ((_let_79 (= tptp.sk_c7 _let_60))) (let ((_let_80 (= tptp.sk_c8 _let_54))) (let ((_let_81 (= tptp.sk_c6 _let_42))) (let ((_let_82 (= tptp.sk_c8 _let_36))) (let ((_let_83 (= tptp.sk_c7 _let_30))) (let ((_let_84 (= tptp.sk_c8 _let_16))) (let ((_let_85 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (_let_85))) (let ((_let_88 ((tptp.inverse X)))) (let ((_let_89 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST _let_89 _let_86 :args (_let_52 false _let_85)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87)) _let_86 :args (_let_53 false _let_85)))) (let ((_let_92 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST _let_92 _let_86 :args (_let_56 false _let_85)))) (let ((_let_94 (_let_48))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_97 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94))))) (let ((_let_98 (MACRO_RESOLUTION_TRUST _let_97 _let_95 :args (_let_61 false _let_48)))) (let ((_let_99 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_50)) (MACRO_SR_EQ_INTRO :args (_let_50 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (_let_99))) (let ((_let_102 ((tptp.multiply tptp.identity X)))) (let ((_let_103 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST _let_103 _let_100 :args (_let_62 false _let_99)))) (let ((_let_105 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_13 tptp.sk_c8 _let_59 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST _let_105 _let_95 :args (_let_63 false _let_48)))) (let ((_let_107 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_59 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)))) (let ((_let_108 (MACRO_RESOLUTION_TRUST _let_107 _let_100 :args (_let_64 false _let_99)))) (let ((_let_109 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_110 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)))) (let ((_let_111 (MACRO_RESOLUTION_TRUST _let_110 _let_95 :args (_let_68 false _let_48)))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c1 tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_73 false _let_48)))) (let ((_let_113 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_57 tptp.sk_c8 _let_59 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)))) (let ((_let_114 (MACRO_RESOLUTION_TRUST _let_113 _let_95 :args (_let_76 false _let_48)))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c7 tptp.sk_c1 _let_71 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_77 false _let_48)))) (let ((_let_116 (= tptp.sk_c7 _let_24))) (let ((_let_117 (= tptp.sk_c3 _let_18))) (let ((_let_118 (= tptp.sk_c8 _let_4))) (let ((_let_119 (not _let_83))) (let ((_let_120 (not _let_82))) (let ((_let_121 (or _let_120 _let_119))) (let ((_let_122 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))))) (let ((_let_123 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_124 (= tptp.sk_c7 _let_123))) (let ((_let_125 (not _let_124))) (let ((_let_126 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c7))) (let ((_let_127 (= tptp.sk_c8 _let_126))) (let ((_let_128 (not _let_127))) (let ((_let_129 (or _let_128 _let_125))) (let ((_let_130 (= tptp.identity (tptp.multiply _let_4 tptp.sk_c2)))) (let ((_let_131 (= tptp.identity (tptp.multiply _let_123 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_132 (tptp.multiply _let_59 tptp.sk_c8))) (let ((_let_133 (tptp.multiply _let_60 tptp.sk_c8))) (let ((_let_134 (= _let_133 (tptp.multiply tptp.sk_c8 _let_132)))) (let ((_let_135 (tptp.multiply tptp.sk_c7 tptp.sk_c3))) (let ((_let_136 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_135))) (let ((_let_137 (= (tptp.multiply _let_126 tptp.sk_c3) _let_136))) (let ((_let_138 (tptp.multiply tptp.sk_c7 _let_59))) (let ((_let_139 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_138))) (let ((_let_140 (= (tptp.multiply _let_126 _let_59) _let_139))) (let ((_let_141 (tptp.multiply tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_142 (= (tptp.multiply _let_141 tptp.sk_c7) (tptp.multiply tptp.sk_c7 _let_126)))) (let ((_let_143 (tptp.multiply tptp.sk_c2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_144 (= (tptp.multiply _let_143 tptp.sk_c7) (tptp.multiply tptp.sk_c2 _let_126)))) (let ((_let_145 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_146 (tptp.multiply _let_145 tptp.sk_c7))) (let ((_let_147 (= _let_146 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_126)))) (let ((_let_148 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_60))) (let ((_let_149 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c8))) (let ((_let_150 (tptp.multiply _let_149 _let_59))) (let ((_let_151 (= _let_150 _let_148))) (let ((_let_152 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (let ((_let_153 (= (tptp.multiply _let_141 tptp.sk_c8) (tptp.multiply tptp.sk_c7 _let_149)))) (let ((_let_154 (tptp.multiply _let_138 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_155 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_154))) (let ((_let_156 (= (tptp.multiply _let_139 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_155))) (let ((_let_157 (= (tptp.multiply _let_146 tptp.sk_c8) (tptp.multiply _let_145 _let_42)))) (let ((_let_158 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_149))) (let ((_let_159 (tptp.multiply _let_158 _let_59))) (let ((_let_160 (= _let_159 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_150)))) (let ((_let_161 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_139))) (let ((_let_162 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_163 (= (tptp.multiply _let_162 _let_138) _let_161))) (let ((_let_164 (tptp.multiply _let_145 _let_139))) (let ((_let_165 (= (tptp.multiply (tptp.multiply _let_145 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_138) _let_164))) (let ((_let_166 (= (tptp.multiply (tptp.multiply _let_143 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_138) (tptp.multiply _let_143 _let_139)))) (let ((_let_167 (tptp.multiply _let_59 _let_148))) (let ((_let_168 (tptp.multiply _let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_169 (tptp.multiply _let_168 _let_60))) (let ((_let_170 (= _let_169 _let_167))) (let ((_let_171 (tptp.multiply _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_172 (tptp.multiply _let_171 _let_60))) (let ((_let_173 (= _let_172 (tptp.multiply _let_13 _let_148)))) (let ((_let_174 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_175 (= (tptp.multiply _let_172 tptp.sk_c8) (tptp.multiply _let_171 _let_133)))) (let ((_let_176 (= (tptp.multiply _let_169 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_168 (tptp.multiply _let_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_177 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_136))) (let ((_let_178 (= (tptp.multiply _let_162 _let_135) _let_177))) (let ((_let_179 (tptp.multiply _let_141 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_180 (tptp.multiply _let_179 _let_138))) (let ((_let_181 (tptp.multiply _let_162 _let_179))) (let ((_let_182 (tptp.multiply _let_181 _let_138))) (let ((_let_183 (= _let_182 (tptp.multiply _let_162 _let_180)))) (let ((_let_184 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_155))) (let ((_let_185 (tptp.multiply _let_162 _let_154))) (let ((_let_186 (= _let_185 _let_184))) (let ((_let_187 (= (tptp.multiply _let_132 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_59 (tptp.multiply tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_188 (= _let_179 (tptp.multiply tptp.sk_c7 _let_162)))) (let ((_let_189 (= _let_164 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_161)))) (let ((_let_190 (= (tptp.multiply _let_182 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_181 _let_154)))) (let ((_let_191 (= _let_181 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_179))))) (let ((_let_192 (= (tptp.multiply _let_168 _let_149) (tptp.multiply _let_59 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_149))))) (let ((_let_193 (= (tptp.multiply _let_167 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply _let_59 (tptp.multiply _let_148 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_194 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_162) _let_154) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_185)))) (let ((_let_195 (= (tptp.multiply _let_158 _let_168) (tptp.multiply _let_159 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_196 (= (tptp.multiply (tptp.multiply _let_171 tptp.sk_c7) tptp.sk_c8) (tptp.multiply _let_171 _let_42)))) (let ((_let_197 (= (tptp.multiply (tptp.multiply _let_172 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) tptp.sk_c8) (tptp.multiply _let_172 _let_149)))) (let ((_let_198 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) (let ((_let_199 (tptp.multiply _let_143 tptp.sk_c8))) (let ((_let_200 (= _let_199 (tptp.multiply tptp.identity _let_199)))) (let ((_let_201 (= (tptp.multiply _let_18 _let_199) (tptp.multiply tptp.sk_c2 (tptp.multiply tptp.sk_c8 _let_199))))) (let ((_let_202 (tptp.multiply tptp.sk_c2 _let_184))) (let ((_let_203 (= (tptp.multiply _let_143 _let_155) _let_202))) (let ((_let_204 (= (tptp.multiply _let_162 _let_136) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_177)))) (let ((_let_205 (= (tptp.multiply _let_184 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiply _let_155 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_206 (= (tptp.multiply (tptp.multiply _let_141 tptp.sk_c2) _let_184) (tptp.multiply _let_141 _let_202)))) (let ((_let_207 (not _let_80))) (let ((_let_208 (not _let_79))) (let ((_let_209 (or _let_208 _let_207))) (let ((_let_210 (forall ((X5 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 (tptp.multiply X5 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X5))))))) (let ((_let_211 (not _let_118))) (let ((_let_212 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 _let_18)))) (let ((_let_213 (not _let_212))) (let ((_let_214 (or _let_213 _let_211))) (let ((_let_215 (not _let_121))) (let ((_let_216 (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_120 _let_119 _let_215))))) (let ((_let_217 (_let_122))) (let ((_let_218 ((tptp.multiply X3 tptp.sk_c7)))) (let ((_let_219 (ASSUME :args _let_217))) (let ((_let_220 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_219 :args (tptp.sk_c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_218)) :args _let_217)))) (let ((_let_221 (or))) (let ((_let_222 (not _let_122))) (let ((_let_223 (_let_222))) (let ((_let_224 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_223)) :args _let_223)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_222) _let_122))) (REFL :args ((not _let_129))) :args _let_221)))) (let ((_let_225 (REFL :args (_let_129)))) (let ((_let_226 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_129 0)) (CONG _let_225 (MACRO_SR_PRED_INTRO :args ((= (not _let_128) _let_127))) :args _let_221)) :args ((or _let_127 _let_129))))) (let ((_let_227 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_129 1)) (CONG _let_225 (MACRO_SR_PRED_INTRO :args ((= (not _let_125) _let_124))) :args _let_221)) :args ((or _let_124 _let_129))))) (let ((_let_228 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87)) _let_86 :args (_let_131 false _let_85)))) (let ((_let_229 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c8 _let_59 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_134 false _let_48)))) (let ((_let_230 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c7 _let_59 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_140 false _let_48)))) (let ((_let_231 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_142 false _let_48)))) (let ((_let_232 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_147 false _let_48)))) (let ((_let_233 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)) _let_100 :args (_let_152 false _let_99)))) (let ((_let_234 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_145 tptp.sk_c7 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_157 false _let_48)))) (let ((_let_235 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_60 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_173 false _let_48)))) (let ((_let_236 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)) _let_100 :args (_let_174 false _let_99)))) (let ((_let_237 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_171 _let_60 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_175 false _let_48)))) (let ((_let_238 (not _let_64))) (let ((_let_239 (not _let_175))) (let ((_let_240 (not _let_174))) (let ((_let_241 (not _let_173))) (let ((_let_242 (not _let_157))) (let ((_let_243 (not _let_152))) (let ((_let_244 (not _let_62))) (let ((_let_245 (not _let_147))) (let ((_let_246 (not _let_142))) (let ((_let_247 (not _let_140))) (let ((_let_248 (not _let_134))) (let ((_let_249 (not _let_131))) (let ((_let_250 (not _let_52))) (let ((_let_251 (not _let_81))) (let ((_let_252 (and _let_81 _let_116 _let_117 _let_118 _let_79 _let_127 _let_124 _let_52 _let_130 _let_131 _let_134 _let_137 _let_140 _let_142 _let_144 _let_147 _let_151 _let_62 _let_152 _let_153 _let_156 _let_157 _let_160 _let_163 _let_165 _let_166 _let_170 _let_173 _let_174 _let_175 _let_176 _let_178 _let_183 _let_186 _let_64 _let_187 _let_188 _let_189 _let_190 _let_191 _let_192 _let_193 _let_194 _let_195 _let_196 _let_197 _let_198 _let_200 _let_201 _let_203 _let_204 _let_205 _let_206))) (let ((_let_253 (APPLY_UF tptp.inverse))) (let ((_let_254 (ASSUME :args (_let_62)))) (let ((_let_255 (SYMM _let_254))) (let ((_let_256 (APPLY_UF tptp.multiply))) (let ((_let_257 (REFL :args (tptp.sk_c8)))) (let ((_let_258 (ASSUME :args (_let_131)))) (let ((_let_259 (SYMM _let_258))) (let ((_let_260 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_261 (ASSUME :args (_let_124)))) (let ((_let_262 (SYMM _let_261))) (let ((_let_263 (SYMM _let_262))) (let ((_let_264 (TRANS (CONG _let_263 _let_260 :args _let_256) _let_259))) (let ((_let_265 (ASSUME :args (_let_153)))) (let ((_let_266 (ASSUME :args (_let_174)))) (let ((_let_267 (SYMM _let_266))) (let ((_let_268 (CONG _let_264 _let_260 :args _let_256))) (let ((_let_269 (TRANS _let_268 _let_267))) (let ((_let_270 (CONG _let_264 _let_269 :args _let_256))) (let ((_let_271 (SYMM _let_269))) (let ((_let_272 (SYMM _let_264))) (let ((_let_273 (ASSUME :args (_let_52)))) (let ((_let_274 (SYMM _let_273))) (let ((_let_275 (ASSUME :args (_let_127)))) (let ((_let_276 (SYMM _let_275))) (let ((_let_277 (REFL :args (tptp.sk_c7)))) (let ((_let_278 (ASSUME :args (_let_79)))) (let ((_let_279 (SYMM _let_278))) (let ((_let_280 (REFL :args (_let_59)))) (let ((_let_281 (CONG _let_276 _let_280 :args _let_256))) (let ((_let_282 (ASSUME :args (_let_140)))) (let ((_let_283 (SYMM _let_282))) (let ((_let_284 (TRANS _let_283 _let_281 _let_279))) (let ((_let_285 (SYMM _let_281))) (let ((_let_286 (TRANS _let_285 _let_282))) (let ((_let_287 (CONG _let_260 _let_286 :args _let_256))) (let ((_let_288 (TRANS _let_287 (CONG _let_271 _let_284 :args _let_256) (CONG _let_269 _let_277 :args _let_256) _let_276))) (let ((_let_289 (REFL :args (_let_13)))) (let ((_let_290 (CONG _let_289 _let_288 :args _let_256))) (let ((_let_291 (ASSUME :args (_let_173)))) (let ((_let_292 (SYMM _let_291))) (let ((_let_293 (SYMM _let_292))) (let ((_let_294 (TRANS _let_293 _let_290 _let_274))) (let ((_let_295 (CONG (TRANS (TRANS (CONG (TRANS _let_294 _let_272) _let_271 :args _let_256) _let_270 (SYMM _let_268)) _let_269) _let_257 :args _let_256))) (let ((_let_296 (ASSUME :args (_let_197)))) (let ((_let_297 (SYMM _let_294))) (let ((_let_298 (REFL :args (_let_171)))) (let ((_let_299 (CONG _let_298 _let_278 :args _let_256))) (let ((_let_300 (ASSUME :args (_let_152)))) (let ((_let_301 (SYMM _let_300))) (let ((_let_302 (CONG _let_264 _let_277 :args _let_256))) (let ((_let_303 (ASSUME :args (_let_142)))) (let ((_let_304 (SYMM _let_303))) (let ((_let_305 (CONG _let_277 _let_275 :args _let_256))) (let ((_let_306 (TRANS _let_305 _let_304 _let_302 _let_301))) (let ((_let_307 (CONG _let_298 _let_306 :args _let_256))) (let ((_let_308 (ASSUME :args (_let_196)))) (let ((_let_309 (SYMM _let_308))) (let ((_let_310 (SYMM _let_309))) (let ((_let_311 (SYMM _let_299))) (let ((_let_312 (CONG (TRANS _let_297 _let_311) _let_257 :args _let_256))) (let ((_let_313 (TRANS _let_254 _let_312 _let_310 _let_307 _let_299 _let_293 _let_290 _let_274))) (let ((_let_314 (CONG (TRANS _let_313 _let_297) (REFL :args (_let_149)) :args _let_256))) (let ((_let_315 (SYMM _let_312))) (let ((_let_316 (SYMM _let_307))) (let ((_let_317 (SYMM _let_290))) (let ((_let_318 (CONG _let_263 _let_269 :args _let_256))) (let ((_let_319 (CONG _let_284 _let_271 :args _let_256))) (let ((_let_320 (ASSUME :args (_let_156)))) (let ((_let_321 (SYMM _let_320))) (let ((_let_322 (TRANS _let_321 _let_319 _let_318 _let_259 _let_273 _let_317 _let_292 _let_311 _let_316 _let_309 _let_315 _let_255))) (let ((_let_323 (CONG _let_260 _let_322 :args _let_256))) (let ((_let_324 (ASSUME :args (_let_130)))) (let ((_let_325 (REFL :args (tptp.sk_c2)))) (let ((_let_326 (ASSUME :args (_let_118)))) (let ((_let_327 (TRANS _let_264 (SYMM (TRANS _let_321 _let_319 _let_318 _let_259))))) (let ((_let_328 (CONG (TRANS (CONG _let_327 _let_325 :args _let_256) (CONG _let_322 _let_325 :args _let_256) (CONG (SYMM (SYMM _let_326)) _let_325 :args _let_256) (SYMM _let_324) _let_273 _let_317 _let_292 _let_311 _let_316 _let_309 _let_315 _let_255) _let_323 :args _let_256))) (let ((_let_329 (ASSUME :args (_let_206)))) (let ((_let_330 (ASSUME :args (_let_203)))) (let ((_let_331 (SYMM (SYMM _let_330)))) (let ((_let_332 (REFL :args (_let_143)))) (let ((_let_333 (CONG _let_332 (SYMM _let_322) :args _let_256))) (let ((_let_334 (TRANS _let_333 _let_331))) (let ((_let_335 (CONG _let_272 _let_334 :args _let_256))) (let ((_let_336 (ASSUME :args (_let_200)))) (let ((_let_337 (SYMM _let_336))) (let ((_let_338 (ASSUME :args (_let_116)))) (let ((_let_339 (SYMM _let_338))) (let ((_let_340 (CONG _let_276 (REFL :args (tptp.sk_c3)) :args _let_256))) (let ((_let_341 (ASSUME :args (_let_137)))) (let ((_let_342 (TRANS (SYMM _let_341) _let_340 _let_339))) (let ((_let_343 (SYMM _let_342))) (let ((_let_344 (ASSUME :args (_let_117)))) (let ((_let_345 (SYMM _let_344))) (let ((_let_346 (CONG _let_325 _let_276 :args _let_256))) (let ((_let_347 (ASSUME :args (_let_144)))) (let ((_let_348 (SYMM _let_347))) (let ((_let_349 (SYMM _let_348))) (let ((_let_350 (CONG _let_332 _let_284 :args _let_256))) (let ((_let_351 (ASSUME :args (_let_166)))) (let ((_let_352 (SYMM _let_351))) (let ((_let_353 (SYMM _let_352))) (let ((_let_354 (TRANS _let_353 _let_350 _let_349 _let_346 _let_345))) (let ((_let_355 (SYMM _let_313))) (let ((_let_356 (ASSUME :args (_let_198)))) (let ((_let_357 (ASSUME :args (_let_201)))) (let ((_let_358 (SYMM _let_335))) (let ((_let_359 (SYMM _let_328))) (let ((_let_360 (ASSUME :args (_let_186)))) (let ((_let_361 (TRANS (SYMM (SYMM _let_360)) _let_323))) (let ((_let_362 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_363 (CONG _let_362 _let_276 :args _let_256))) (let ((_let_364 (ASSUME :args (_let_147)))) (let ((_let_365 (SYMM _let_364))) (let ((_let_366 (SYMM _let_365))) (let ((_let_367 (REFL :args (_let_145)))) (let ((_let_368 (CONG _let_367 _let_306 :args _let_256))) (let ((_let_369 (ASSUME :args (_let_157)))) (let ((_let_370 (SYMM (SYMM _let_369)))) (let ((_let_371 (ASSUME :args (_let_64)))) (let ((_let_372 (SYMM _let_371))) (let ((_let_373 (CONG _let_274 _let_280 :args _let_256))) (let ((_let_374 (SYMM _let_373))) (let ((_let_375 (TRANS _let_371 _let_374))) (let ((_let_376 (CONG (TRANS _let_375 (TRANS _let_373 _let_372 (SYMM _let_363) _let_365)) _let_257 :args _let_256))) (let ((_let_377 (TRANS _let_376 _let_370 _let_368 _let_366 _let_363))) (let ((_let_378 (ASSUME :args (_let_134)))) (let ((_let_379 (SYMM (SYMM _let_378)))) (let ((_let_380 (ASSUME :args (_let_175)))) (let ((_let_381 (SYMM (SYMM _let_380)))) (let ((_let_382 (TRANS _let_381 (CONG _let_298 (TRANS _let_379 (CONG _let_257 _let_377 :args _let_256)) :args _let_256)))) (let ((_let_383 (TRANS _let_373 (CONG (TRANS _let_297 (SYMM _let_382)) _let_280 :args _let_256) (CONG (TRANS _let_382 _let_294 _let_355) _let_280 :args _let_256) _let_285 _let_282))) (let ((_let_384 (ASSUME :args (_let_170)))) (let ((_let_385 (CONG (SYMM (SYMM _let_384)) _let_260 :args _let_256))) (let ((_let_386 (ASSUME :args (_let_176)))) (let ((_let_387 (REFL :args (_let_168)))) (let ((_let_388 (CONG _let_387 (TRANS _let_254 _let_312 _let_310 _let_307 _let_299 _let_293 _let_290 _let_274 _let_258 (SYMM _let_318) (SYMM _let_319) (CONG (SYMM _let_286) _let_260 :args _let_256)) :args _let_256))) (let ((_let_389 (SYMM _let_375))) (let ((_let_390 (ASSUME :args (_let_165)))) (let ((_let_391 (SYMM _let_390))) (let ((_let_392 (ASSUME :args (_let_189)))) (let ((_let_393 (ASSUME :args (_let_163)))) (let ((_let_394 (SYMM _let_393))) (let ((_let_395 (ASSUME :args (_let_151)))) (let ((_let_396 (ASSUME :args (_let_160)))) (let ((_let_397 (ASSUME :args (_let_195)))) (let ((_let_398 (CONG (TRANS (SYMM (SYMM _let_397)) (CONG (TRANS (TRANS (SYMM (SYMM _let_396)) (CONG _let_362 (TRANS (SYMM (SYMM _let_395)) _let_287 _let_394) :args _let_256) (CONG _let_362 (SYMM _let_394) :args _let_256) (SYMM _let_392) _let_391) (TRANS (SYMM _let_391) (CONG _let_367 _let_284 :args _let_256) _let_366 _let_363 _let_371 _let_374) _let_389) _let_260 :args _let_256)) _let_257 :args _let_256))) (let ((_let_399 (ASSUME :args (_let_193)))) (let ((_let_400 (ASSUME :args (_let_187)))) (let ((_let_401 (ASSUME :args (_let_192)))) (let ((_let_402 (ASSUME :args (_let_194)))) (let ((_let_403 (CONG _let_260 _let_269 :args _let_256))) (let ((_let_404 (ASSUME :args (_let_191)))) (let ((_let_405 (ASSUME :args (_let_190)))) (let ((_let_406 (ASSUME :args (_let_183)))) (let ((_let_407 (REFL :args (_let_162)))) (let ((_let_408 (ASSUME :args (_let_204)))) (let ((_let_409 (ASSUME :args (_let_178)))) (let ((_let_410 (SYMM _let_409))) (let ((_let_411 (ASSUME :args (_let_205)))) (let ((_let_412 (ASSUME :args (_let_188)))) (let ((_let_413 (ASSUME :args (_let_81)))) (let ((_let_414 (SYMM _let_413))) (let ((_let_415 (SYMM _let_414))) (let ((_let_416 (REFL :args (_let_209)))) (let ((_let_417 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_209 0)) (CONG _let_416 (MACRO_SR_PRED_INTRO :args ((= (not _let_208) _let_79))) :args _let_221)) :args ((or _let_79 _let_209))))) (let ((_let_418 (not _let_209))) (let ((_let_419 (not _let_210))) (let ((_let_420 (_let_419))) (let ((_let_421 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_420)) :args _let_420)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_419) _let_210))) (REFL :args (_let_418)) :args _let_221)))) (let ((_let_422 (_let_210))) (let ((_let_423 ((tptp.multiply X5 tptp.sk_c8)))) (let ((_let_424 (ASSUME :args _let_422))) (let ((_let_425 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_424 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_423)) :args _let_422)))) (let ((_let_426 (REORDERING (CNF_OR_POS :args (_let_214)) :args ((or _let_211 _let_213 (not _let_214)))))) (let ((_let_427 (and _let_116 _let_117))) (let ((_let_428 (RESOLUTION (CNF_AND_NEG :args (_let_427)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_344 _let_338) (SCOPE (TRANS (SYMM _let_339) (CONG _let_257 (SYMM _let_345) :args _let_256)) :args (_let_117 _let_116))) :args (_let_116 _let_117))) :args (true _let_427)))) (let ((_let_429 (MACRO_RESOLUTION_TRUST _let_428 _let_426 _let_425 _let_421 _let_417 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_252)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_254 _let_258 _let_261 _let_265 _let_338 _let_275 _let_341 _let_266 _let_273 _let_278 _let_282 _let_291 _let_296 _let_300 _let_303 _let_308 _let_324 _let_326 _let_320 _let_329 _let_330 _let_336 _let_344 _let_347 _let_351 _let_356 _let_357 _let_364 _let_369 _let_371 _let_378 _let_380 _let_384 _let_386 _let_390 _let_392 _let_393 _let_395 _let_396 _let_397 _let_399 _let_400 _let_360 _let_401 _let_402 _let_404 _let_405 _let_406 _let_408 _let_409 _let_411 _let_412 _let_413) (SCOPE (TRANS _let_415 _let_305 _let_304 _let_302 _let_301 _let_263 (CONG _let_271 :args _let_253) (CONG (TRANS (SYMM (SYMM _let_412)) (CONG (TRANS (SYMM _let_284) (SYMM _let_383) _let_389) (TRANS (SYMM _let_403) (CONG _let_260 (TRANS _let_268 (SYMM _let_270) (CONG _let_327 _let_269 :args _let_256)) :args _let_256) (SYMM _let_411) (CONG _let_323 _let_260 :args _let_256) (CONG (TRANS (TRANS (CONG _let_260 (TRANS _let_275 (CONG _let_260 _let_343 :args _let_256) _let_410) :args _let_256) (CONG _let_260 (SYMM _let_410) :args _let_256) (SYMM _let_408) (CONG _let_407 _let_342 :args _let_256)) (TRANS (CONG _let_407 _let_278 :args _let_256) (CONG _let_407 (TRANS _let_285 _let_282 (CONG _let_271 (REFL :args (_let_138)) :args _let_256)) :args _let_256) (SYMM _let_406))) _let_260 :args _let_256) (SYMM (SYMM _let_405)) (CONG (TRANS (SYMM (SYMM _let_404)) (CONG _let_260 _let_403 :args _let_256)) (REFL :args (_let_154)) :args _let_256) (SYMM (SYMM _let_402)) (CONG _let_260 _let_361 :args _let_256)) :args _let_256) (SYMM _let_401) (CONG _let_387 (SYMM _let_361) :args _let_256) (CONG (TRANS (TRANS (CONG (SYMM _let_377) _let_260 :args _let_256) (SYMM (SYMM _let_400)) (CONG _let_280 (CONG (SYMM _let_288) _let_260 :args _let_256) :args _let_256) (SYMM _let_399) (SYMM _let_385) _let_386 (SYMM _let_388) (SYMM _let_398)) (TRANS _let_398 _let_388 (SYMM _let_386) _let_385 (CONG (TRANS (TRANS (CONG _let_280 _let_288 :args _let_256) _let_376 _let_370 _let_368 _let_366 _let_363 _let_371 _let_374) _let_383 _let_284) _let_271 :args _let_256) _let_318 _let_259 _let_273 _let_317 _let_292 _let_311 _let_316 _let_309 _let_315 _let_255)) _let_361 :args _let_256) _let_359 _let_329 _let_358 _let_337 _let_333 _let_331 (CONG _let_325 _let_323 :args _let_256) (CONG _let_325 (TRANS (SYMM _let_295) _let_296 (SYMM _let_314) _let_359 _let_329 _let_358 (CONG _let_355 (REFL :args (_let_199)) :args _let_256)) :args _let_256) (SYMM _let_357) (CONG (TRANS (TRANS (SYMM _let_346) _let_348) _let_349 (TRANS _let_348 (SYMM _let_350) _let_352) (TRANS _let_353 _let_350 _let_349 _let_346 _let_345 (SYMM (SYMM _let_356)) (CONG _let_355 (SYMM _let_354) :args _let_256) (CONG _let_275 _let_354 :args _let_256) _let_340 _let_339 _let_278 _let_285 _let_282) _let_284 _let_263) _let_334 :args _let_256) (CONG (TRANS _let_262 _let_343) (SYMM _let_334) :args _let_256) (CONG _let_342 (TRANS (SYMM _let_337) _let_335 (SYMM _let_329) _let_328 _let_314 (SYMM _let_296) _let_295) :args _let_256) (SYMM _let_265) (CONG _let_264 _let_257 :args _let_256) _let_255) :args _let_253)) :args (_let_62 _let_131 _let_124 _let_153 _let_116 _let_127 _let_137 _let_174 _let_52 _let_79 _let_140 _let_173 _let_197 _let_152 _let_142 _let_196 _let_130 _let_118 _let_156 _let_206 _let_203 _let_200 _let_117 _let_144 _let_166 _let_198 _let_201 _let_147 _let_157 _let_64 _let_134 _let_175 _let_170 _let_176 _let_165 _let_189 _let_163 _let_151 _let_160 _let_195 _let_193 _let_187 _let_186 _let_192 _let_194 _let_191 _let_190 _let_183 _let_204 _let_178 _let_205 _let_188 _let_81))) :args (_let_81 _let_116 _let_117 _let_118 _let_79 _let_127 _let_124 _let_52 _let_130 _let_131 _let_134 _let_137 _let_140 _let_142 _let_144 _let_147 _let_151 _let_62 _let_152 _let_153 _let_156 _let_157 _let_160 _let_163 _let_165 _let_166 _let_170 _let_173 _let_174 _let_175 _let_176 _let_178 _let_183 _let_186 _let_64 _let_187 _let_188 _let_189 _let_190 _let_191 _let_192 _let_193 _let_194 _let_195 _let_196 _let_197 _let_198 _let_200 _let_201 _let_203 _let_204 _let_205 _let_206))) :args (true _let_252)) :args ((or _let_78 _let_251 (not _let_116) (not _let_117) _let_211 _let_208 _let_128 _let_125 _let_250 (not _let_130) _let_249 _let_248 (not _let_137) _let_247 _let_246 (not _let_144) _let_245 (not _let_151) _let_244 _let_243 (not _let_153) (not _let_156) _let_242 (not _let_160) (not _let_163) (not _let_165) (not _let_166) (not _let_170) _let_241 _let_240 _let_239 (not _let_176) (not _let_178) (not _let_183) (not _let_186) _let_238 (not _let_187) (not _let_188) (not _let_189) (not _let_190) (not _let_191) (not _let_192) (not _let_193) (not _let_194) (not _let_195) (not _let_196) (not _let_197) (not _let_198) (not _let_200) (not _let_201) (not _let_203) (not _let_204) (not _let_205) (not _let_206)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_141 tptp.sk_c2 _let_184 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_206 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_155 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_205 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_136 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_204 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_155 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_203 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c2 tptp.sk_c8 _let_199 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_201 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_199 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)) _let_100 :args (_let_200 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)) _let_100 :args (_let_198 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_172 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_197 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_171 tptp.sk_c7 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_196 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_158 _let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94))) _let_95 :args (_let_195 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_162 _let_154 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_194 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_59 _let_148 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_193 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_149 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_192 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_179 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_191 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_181 _let_138 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_190 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_139 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_189 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_188 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_59 tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_187 false _let_48)) _let_108 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_154 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_186 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_162 _let_179 _let_138 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_183 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_135 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_178 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_168 _let_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_176 false _let_48)) _let_237 _let_236 _let_235 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_60 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_170 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_143 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_138 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_166 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_145 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_138 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_165 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_138 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_163 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_149 _let_59 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_160 false _let_48)) _let_234 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_138 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_156 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_153 false _let_48)) _let_233 _let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c8 _let_59 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_151 false _let_48)) _let_232 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_144 false _let_48)) _let_231 _let_230 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.sk_c7 tptp.sk_c3 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_137 false _let_48)) _let_229 _let_228 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.sk_c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87)) _let_86 :args (_let_130 false _let_85)) _let_90 _let_227 _let_226 _let_224 _let_220 _let_216 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_78 _let_118))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_78 _let_117))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_78 _let_116))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_78 _let_83))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_78 _let_82))) (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO :args (_let_46 SB_DEFAULT SBA_FIXPOINT))) :args (_let_78 true _let_212 false _let_214 false _let_210 false _let_209 true _let_79 false _let_206 false _let_205 false _let_204 false _let_203 false _let_201 false _let_200 false _let_198 false _let_197 false _let_196 false _let_195 false _let_194 false _let_193 false _let_192 false _let_191 false _let_190 false _let_189 false _let_188 false _let_187 false _let_64 false _let_186 false _let_183 false _let_178 false _let_176 false _let_175 false _let_174 false _let_173 false _let_170 false _let_166 false _let_165 false _let_163 false _let_160 false _let_157 false _let_156 false _let_153 false _let_152 false _let_62 false _let_151 false _let_147 false _let_144 false _let_142 false _let_140 false _let_137 false _let_134 false _let_131 false _let_130 false _let_52 false _let_124 false _let_127 true _let_129 true _let_122 true _let_121 false _let_118 false _let_117 false _let_116 false _let_83 false _let_82 false _let_81)))) (let ((_let_430 (= tptp.sk_c8 _let_2))) (let ((_let_431 (not _let_430))) (let ((_let_432 (tptp.multiply tptp.sk_c8 _let_7))) (let ((_let_433 (= tptp.sk_c7 _let_432))) (let ((_let_434 (not _let_433))) (let ((_let_435 (or _let_434 _let_431))) (let ((_let_436 (= tptp.sk_c7 _let_10))) (let ((_let_437 (= tptp.sk_c5 _let_7))) (let ((_let_438 (not _let_435))) (let ((_let_439 (and _let_436 _let_437))) (let ((_let_440 (ASSUME :args (_let_437)))) (let ((_let_441 (SYMM _let_440))) (let ((_let_442 (ASSUME :args (_let_436)))) (let ((_let_443 (SYMM _let_442))) (let ((_let_444 (RESOLUTION (CNF_AND_NEG :args (_let_439)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_440 _let_442) (SCOPE (TRANS (SYMM _let_443) (CONG _let_257 (SYMM _let_441) :args _let_256)) :args (_let_437 _let_436))) :args (_let_436 _let_437))) :args (true _let_439)))) (let ((_let_445 (REORDERING (CNF_OR_POS :args (_let_435)) :args ((or _let_431 _let_434 _let_438))))) (let ((_let_446 (not _let_436))) (let ((_let_447 (MACRO_RESOLUTION_TRUST _let_445 _let_444 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_430 _let_117))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_437 _let_117))) _let_428 (MACRO_RESOLUTION_TRUST _let_445 _let_444 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_430 _let_116))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_437 _let_116))) :args ((or _let_116 _let_446 _let_438) false _let_433 false _let_430 false _let_437)) (MACRO_RESOLUTION_TRUST _let_428 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_436 _let_117))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_436 _let_116))) :args ((or _let_436 _let_212) false _let_117 false _let_116)) _let_426 (MACRO_RESOLUTION_TRUST _let_445 _let_444 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_430 _let_118))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_437 _let_118))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_436 _let_118))) :args ((or _let_118 _let_438) false _let_433 false _let_430 false _let_437 false _let_436)) _let_425 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_424 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_423)) :args _let_422)) :args (_let_419 false _let_433 false _let_430 false _let_437 true _let_117 false _let_116 false _let_436 true _let_212 false _let_118 false _let_214 false _let_435)))) (let ((_let_448 (MACRO_RESOLUTION_TRUST _let_421 _let_447 :args (_let_418 true _let_210)))) (let ((_let_449 (MACRO_RESOLUTION_TRUST _let_417 _let_448 :args (_let_79 true _let_209)))) (let ((_let_450 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_209 1)) (CONG _let_416 (MACRO_SR_PRED_INTRO :args ((= (not _let_207) _let_80))) :args _let_221)) :args ((or _let_80 _let_209))))) (let ((_let_451 (MACRO_RESOLUTION_TRUST _let_450 _let_448 :args (_let_80 true _let_209)))) (let ((_let_452 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 (tptp.multiply X2 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X2))))))) (let ((_let_453 (tptp.multiply _let_59 tptp.sk_c5))) (let ((_let_454 (tptp.multiply _let_453 tptp.sk_c8))) (let ((_let_455 (= (tptp.multiply _let_42 _let_454) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c8 _let_454))))) (let ((_let_456 (tptp.multiply _let_138 tptp.sk_c5))) (let ((_let_457 (= (tptp.multiply _let_456 tptp.sk_c8) (tptp.multiply _let_138 (tptp.multiply tptp.sk_c5 tptp.sk_c8))))) (let ((_let_458 (= (tptp.multiply (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_138) tptp.sk_c5) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_456)))) (let ((_let_459 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (let ((_let_460 (= tptp.identity (tptp.multiply _let_2 tptp.sk_c4)))) (let ((_let_461 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (let ((_let_462 (= (tptp.multiply _let_461 _let_59) (tptp.multiply tptp.sk_c1 _let_60)))) (let ((_let_463 (tptp.multiply tptp.identity tptp.sk_c4))) (let ((_let_464 (= tptp.sk_c4 _let_463))) (let ((_let_465 (tptp.multiply _let_461 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_466 (tptp.multiply _let_465 tptp.sk_c7))) (let ((_let_467 (= _let_466 (tptp.multiply _let_461 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c7))))) (let ((_let_468 (tptp.multiply tptp.sk_c8 tptp.sk_c4))) (let ((_let_469 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_468))) (let ((_let_470 (tptp.multiply _let_57 _let_468))) (let ((_let_471 (= _let_470 (tptp.multiply tptp.sk_c8 _let_469)))) (let ((_let_472 (tptp.multiply tptp.sk_c7 tptp.sk_c4))) (let ((_let_473 (= (tptp.multiply _let_466 tptp.sk_c4) (tptp.multiply _let_465 _let_472)))) (let ((_let_474 (= (tptp.multiply _let_72 tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply _let_71 tptp.sk_c5))))) (let ((_let_475 (= _let_465 (tptp.multiply tptp.sk_c1 _let_57)))) (let ((_let_476 (= _let_470 (tptp.multiply _let_58 tptp.sk_c4)))) (let ((_let_477 (= (tptp.multiply _let_59 tptp.sk_c4) _let_469))) (let ((_let_478 (= (tptp.multiply (tptp.multiply _let_466 tptp.identity) tptp.sk_c4) (tptp.multiply _let_466 _let_463)))) (let ((_let_479 (tptp.multiply _let_468 tptp.sk_c8))) (let ((_let_480 (= (tptp.multiply _let_469 tptp.sk_c8) (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_479)))) (let ((_let_481 (= tptp.sk_c7 _let_2))) (let ((_let_482 (= _let_479 _let_432))) (let ((_let_483 (= (tptp.multiply (tptp.multiply _let_60 tptp.sk_c6) tptp.sk_c8) _let_74))) (let ((_let_484 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (let ((_let_485 (= (tptp.multiply _let_484 tptp.sk_c8) (tptp.multiply tptp.sk_c4 _let_42)))) (let ((_let_486 (= tptp.sk_c8 _let_484))) (let ((_let_487 (not _let_481))) (let ((_let_488 (not _let_486))) (let ((_let_489 (or _let_488 _let_487))) (let ((_let_490 (= _let_180 (tptp.multiply _let_141 _let_139)))) (let ((_let_491 (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.multiply _let_472 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_492 (not _let_84))) (let ((_let_493 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c8 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)))) (let ((_let_494 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_57 tptp.sk_c8 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94))))) (let ((_let_495 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_468 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)))) (let ((_let_496 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)))) (let ((_let_497 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_101)))) (let ((_let_498 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_138 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)))) (let ((_let_499 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87)))) (let ((_let_500 (not _let_477))) (let ((_let_501 (not _let_476))) (let ((_let_502 (not _let_471))) (let ((_let_503 (not _let_459))) (let ((_let_504 (not _let_464))) (let ((_let_505 (not _let_458))) (let ((_let_506 (not _let_76))) (let ((_let_507 (not _let_68))) (let ((_let_508 (not _let_63))) (let ((_let_509 (not _let_61))) (let ((_let_510 (not _let_56))) (let ((_let_511 (not _let_460))) (let ((_let_512 (not _let_78))) (let ((_let_513 (and _let_78 _let_436 _let_430 _let_79 _let_80 _let_52 _let_460 _let_56 _let_61 _let_62 _let_63 _let_64 _let_68 _let_480 _let_76 _let_458 _let_464 _let_459 _let_471 _let_476 _let_477))) (let ((_let_514 (ASSUME :args (_let_56)))) (let ((_let_515 (SYMM _let_514))) (let ((_let_516 (CONG _let_515 _let_257 :args _let_256))) (let ((_let_517 (ASSUME :args (_let_68)))) (let ((_let_518 (SYMM _let_517))) (let ((_let_519 (ASSUME :args (_let_80)))) (let ((_let_520 (SYMM _let_519))) (let ((_let_521 (SYMM _let_520))) (let ((_let_522 (CONG _let_521 _let_280 :args _let_256))) (let ((_let_523 (SYMM _let_279))) (let ((_let_524 (TRANS _let_523 _let_522 _let_518 _let_516 _let_255))) (let ((_let_525 (REFL :args (tptp.sk_c4)))) (let ((_let_526 (ASSUME :args (_let_464)))) (let ((_let_527 (SYMM _let_526))) (let ((_let_528 (ASSUME :args (_let_78)))) (let ((_let_529 (SYMM _let_528))) (let ((_let_530 (SYMM _let_529))) (let ((_let_531 (CONG _let_530 _let_257 :args _let_256))) (let ((_let_532 (TRANS _let_531 _let_274))) (let ((_let_533 (CONG _let_532 _let_525 :args _let_256))) (let ((_let_534 (SYMM _let_532))) (let ((_let_535 (CONG _let_529 _let_524 :args _let_256))) (let ((_let_536 (CONG _let_289 _let_279 :args _let_256))) (let ((_let_537 (ASSUME :args (_let_63)))) (let ((_let_538 (SYMM _let_537))) (let ((_let_539 (SYMM _let_538))) (let ((_let_540 (TRANS _let_539 _let_536 _let_535 _let_531 _let_274))) (let ((_let_541 (CONG _let_273 _let_280 :args _let_256))) (let ((_let_542 (SYMM _let_372))) (let ((_let_543 (TRANS _let_542 _let_541))) (let ((_let_544 (CONG (TRANS _let_543 _let_540 _let_534) _let_525 :args _let_256))) (let ((_let_545 (ASSUME :args (_let_477)))) (let ((_let_546 (SYMM _let_545))) (let ((_let_547 (SYMM _let_524))) (let ((_let_548 (ASSUME :args (_let_480)))) (let ((_let_549 (REFL :args (_let_60)))) (let ((_let_550 (ASSUME :args (_let_61)))) (let ((_let_551 (SYMM _let_550))) (let ((_let_552 (ASSUME :args (_let_476)))) (let ((_let_553 (SYMM _let_552))) (let ((_let_554 (ASSUME :args (_let_471)))) (let ((_let_555 (SYMM _let_554))) (let ((_let_556 (ASSUME :args (_let_430)))) (let ((_let_557 (SYMM _let_556))) (let ((_let_558 (REFL :args (_let_2)))) (let ((_let_559 (ASSUME :args (_let_460)))) (let ((_let_560 (SYMM _let_559))) (let ((_let_561 (SYMM _let_560))) (let ((_let_562 (SYMM _let_543))) (let ((_let_563 (REFL :args (tptp.sk_c5)))) (let ((_let_564 (REFL :args (_let_57)))) (let ((_let_565 (CONG _let_564 _let_524 :args _let_256))) (let ((_let_566 (CONG _let_564 _let_279 :args _let_256))) (let ((_let_567 (ASSUME :args (_let_76)))) (let ((_let_568 (SYMM (SYMM _let_567)))) (let ((_let_569 (CONG (TRANS _let_523 _let_550) _let_280 :args _let_256))) (let ((_let_570 (TRANS _let_569 _let_568 _let_566 _let_565 _let_551 _let_279))) (let ((_let_571 (TRANS (CONG (TRANS _let_570 _let_524) _let_563 :args _let_256) _let_443))) (let ((_let_572 (ASSUME :args (_let_458)))) (let ((_let_573 (SYMM _let_572))) (let ((_let_574 (SYMM _let_541))) (let ((_let_575 (SYMM _let_536))) (let ((_let_576 (SYMM _let_535))) (let ((_let_577 (SYMM _let_531))) (let ((_let_578 (ASSUME :args (_let_459)))) (let ((_let_579 (SYMM _let_578))) (let ((_let_580 (and _let_430 _let_79 _let_80 _let_56 _let_62 _let_68))) (let ((_let_581 (= tptp.sk_c7 _let_54))) (let ((_let_582 (SYMM _let_557))) (let ((_let_583 (MACRO_RESOLUTION_TRUST _let_499 _let_86 :args (_let_460 false _let_85)))) (let ((_let_584 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c8 tptp.sk_c4 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_482 false _let_48)))) (let ((_let_585 (MACRO_RESOLUTION_TRUST _let_498 _let_95 :args (_let_458 false _let_48)))) (let ((_let_586 (MACRO_RESOLUTION_TRUST _let_496 _let_100 :args (_let_459 false _let_99)))) (let ((_let_587 (not _let_482))) (let ((_let_588 (not _let_437))) (let ((_let_589 (and _let_84 _let_78 _let_436 _let_437 _let_430 _let_79 _let_52 _let_460 _let_482 _let_61 _let_62 _let_63 _let_64 _let_483 _let_485 _let_76 _let_458 _let_459))) (let ((_let_590 (CONG _let_257 _let_441 :args _let_256))) (let ((_let_591 (ASSUME :args (_let_482)))) (let ((_let_592 (SYMM _let_591))) (let ((_let_593 (SYMM _let_592))) (let ((_let_594 (CONG _let_557 _let_525 :args _let_256))) (let ((_let_595 (CONG (TRANS _let_561 _let_594) _let_257 :args _let_256))) (let ((_let_596 (SYMM _let_255))) (let ((_let_597 (TRANS _let_596 _let_595 _let_593 _let_590 _let_443))) (let ((_let_598 (CONG _let_525 _let_597 :args _let_256))) (let ((_let_599 (SYMM _let_595))) (let ((_let_600 (SYMM _let_590))) (let ((_let_601 (ASSUME :args (_let_84)))) (let ((_let_602 (CONG _let_289 _let_278 :args _let_256))) (let ((_let_603 (CONG _let_289 _let_597 :args _let_256))) (let ((_let_604 (SYMM _let_594))) (let ((_let_605 (SYMM _let_597))) (let ((_let_606 (TRANS _let_605 _let_601))) (let ((_let_607 (REFL :args (_let_65)))) (let ((_let_608 (ASSUME :args (_let_483)))) (let ((_let_609 (REFL :args (tptp.sk_c6)))) (let ((_let_610 (ASSUME :args (_let_485)))) (let ((_let_611 (SYMM _let_602))) (let ((_let_612 (TRANS _let_537 _let_611 (SYMM _let_603) _let_274))) (let ((_let_613 (TRANS _let_375 _let_612))) (let ((_let_614 (CONG _let_613 _let_563 :args _let_256))) (let ((_let_615 (TRANS _let_614 _let_579))) (let ((_let_616 (CONG (TRANS _let_278 _let_550) _let_280 :args _let_256))) (let ((_let_617 (TRANS _let_616 _let_568 _let_566 (CONG _let_564 _let_605 :args _let_256) _let_551 _let_279 _let_442 _let_600 _let_592 _let_599 _let_255))) (let ((_let_618 (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_210 (= X5 X2)))) _let_447 :args ((not _let_452) true _let_210)))) (let ((_let_619 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_620 (and _let_78 _let_436 _let_437 _let_430 _let_79 _let_127 _let_124 _let_52 _let_460 _let_131 _let_134 _let_140 _let_142 _let_482 _let_147 _let_62 _let_152 _let_157 _let_490 _let_173 _let_174 _let_175 _let_491))) (let ((_let_621 (CONG _let_277 _let_276 :args _let_256))) (let ((_let_622 (CONG (REFL :args (_let_141)) _let_597 :args _let_256))) (let ((_let_623 (CONG _let_262 _let_260 :args _let_256))) (let ((_let_624 (SYMM _let_259))) (let ((_let_625 (TRANS _let_624 _let_623))) (let ((_let_626 (CONG _let_625 _let_605 :args _let_256))) (let ((_let_627 (SYMM _let_625))) (let ((_let_628 (CONG _let_627 _let_260 :args _let_256))) (let ((_let_629 (CONG _let_529 (TRANS _let_279 _let_442 _let_600 _let_592 _let_599 _let_255) :args _let_256))) (let ((_let_630 (CONG _let_597 _let_280 :args _let_256))) (let ((_let_631 (CONG _let_260 _let_630 :args _let_256))) (let ((_let_632 (CONG _let_289 (TRANS _let_631 _let_283 _let_281) :args _let_256))) (let ((_let_633 (TRANS _let_366 (CONG _let_362 (TRANS _let_276 _let_596 _let_595 _let_593 _let_590 _let_443) :args _let_256) (CONG _let_362 _let_605 :args _let_256)))) (let ((_let_634 (CONG _let_298 (TRANS _let_379 (CONG _let_257 (TRANS (CONG (SYMM _let_633) _let_257 :args _let_256) _let_370 (CONG _let_367 (TRANS (SYMM _let_621) _let_304 (SYMM _let_622) (SYMM _let_626) _let_301) :args _let_256)) :args _let_256) (CONG _let_275 _let_633 :args _let_256) _let_281) :args _let_256))) (let ((_let_635 (CONG (TRANS _let_627 (TRANS _let_273 _let_577 (SYMM _let_629) (SYMM _let_632) _let_292)) (TRANS _let_283 _let_281 _let_279 _let_442 _let_600 _let_592 _let_599 _let_255) :args _let_256))) (let ((_let_636 (ASSUME :args (_let_490)))) (let ((_let_637 (SYMM (SYMM _let_636)))) (let ((_let_638 (CONG (TRANS (CONG _let_605 _let_525 :args _let_256) _let_604 _let_560) _let_260 :args _let_256))) (let ((_let_639 (ASSUME :args (_let_491)))) (let ((_let_640 (SYMM _let_639))) (let ((_let_641 (CONG (TRANS (TRANS _let_266 (SYMM _let_638) _let_640) (TRANS (SYMM _let_640) _let_638 (SYMM _let_628))) _let_630 :args _let_256))) (let ((_let_642 (SYMM _let_631))) (let ((_let_643 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c7 tptp.sk_c8 _let_454 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_455 false _let_48)))) (let ((_let_644 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_138 tptp.sk_c5 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_457 false _let_48)))) (let ((_let_645 (not _let_478))) (let ((_let_646 (not _let_77))) (let ((_let_647 (not _let_475))) (let ((_let_648 (not _let_474))) (let ((_let_649 (not _let_473))) (let ((_let_650 (not _let_467))) (let ((_let_651 (not _let_457))) (let ((_let_652 (not _let_455))) (let ((_let_653 (not _let_462))) (let ((_let_654 (not _let_53))) (let ((_let_655 (= tptp.sk_c7 (tptp.multiply tptp.sk_c8 _let_42)))) (let ((_let_656 (not _let_655))) (let ((_let_657 (SYMM _let_523))) (let ((_let_658 (CONG _let_657 _let_257 :args _let_256))) (let ((_let_659 (TRANS _let_547 _let_523))) (let ((_let_660 (TRANS _let_569 _let_568 (CONG _let_564 _let_657 :args _let_256) _let_565 _let_551 _let_657))) (let ((_let_661 (TRANS _let_660 _let_524))) (let ((_let_662 (TRANS (CONG _let_661 _let_563 :args _let_256) _let_443))) (let ((_let_663 (ASSUME :args (_let_457)))) (let ((_let_664 (SYMM _let_663))) (let ((_let_665 (CONG _let_521 _let_362 :args _let_256))) (let ((_let_666 (TRANS _let_665 _let_515))) (let ((_let_667 (CONG _let_666 _let_563 :args _let_256))) (let ((_let_668 (CONG _let_289 _let_657 :args _let_256))) (let ((_let_669 (TRANS _let_539 _let_668 _let_535 _let_531 _let_274))) (let ((_let_670 (CONG (TRANS _let_543 _let_669 (SYMM _let_666)) _let_563 :args _let_256))) (let ((_let_671 (REFL :args (_let_453)))) (let ((_let_672 (CONG _let_671 _let_547 :args _let_256))) (let ((_let_673 (ASSUME :args (_let_455)))) (let ((_let_674 (SYMM (SYMM _let_673)))) (let ((_let_675 (CONG _let_362 _let_524 :args _let_256))) (let ((_let_676 (CONG (TRANS (CONG _let_362 _let_660 :args _let_256) _let_675 _let_542 _let_541 _let_539 _let_668 _let_535 _let_531 _let_274) _let_563 :args _let_256))) (let ((_let_677 (CONG _let_362 (SYMM _let_662) :args _let_256))) (let ((_let_678 (SYMM _let_675))) (let ((_let_679 (SYMM _let_668))) (let ((_let_680 (SYMM _let_669))) (let ((_let_681 (TRANS _let_680 _let_562))) (let ((_let_682 (TRANS _let_543 _let_669 _let_534))) (let ((_let_683 (CONG (SYMM _let_659) _let_362 :args _let_256))) (let ((_let_684 (CONG _let_523 _let_362 :args _let_256))) (let ((_let_685 (TRANS _let_684 _let_683 _let_665 _let_515))) (let ((_let_686 (ASSUME :args (_let_53)))) (let ((_let_687 (SYMM _let_686))) (let ((_let_688 (REFL :args (tptp.sk_c1)))) (let ((_let_689 (ASSUME :args (_let_83)))) (let ((_let_690 (SYMM (SYMM _let_689)))) (let ((_let_691 (ASSUME :args (_let_77)))) (let ((_let_692 (SYMM _let_691))) (let ((_let_693 (CONG _let_688 (TRANS (SYMM _let_683) (SYMM _let_684)) :args _let_256))) (let ((_let_694 (ASSUME :args (_let_474)))) (let ((_let_695 (CONG _let_558 _let_527 :args _let_256))) (let ((_let_696 (CONG _let_682 _let_525 :args _let_256))) (let ((_let_697 (CONG _let_582 (TRANS _let_546 _let_696 _let_533) :args _let_256))) (let ((_let_698 (ASSUME :args (_let_475)))) (let ((_let_699 (ASSUME :args (_let_473)))) (let ((_let_700 (ASSUME :args (_let_478)))) (let ((_let_701 (ASSUME :args (_let_467)))) (let ((_let_702 (ASSUME :args (_let_462)))) (let ((_let_703 (SYMM _let_702))) (let ((_let_704 (CONG _let_688 _let_523 :args _let_256))) (let ((_let_705 (ASSUME :args (_let_82)))) (let ((_let_706 (SYMM (SYMM _let_705)))) (let ((_let_707 (ASSUME :args (_let_492)))) (let ((_let_708 (TRANS _let_571 _let_524))) (let ((_let_709 (CONG _let_279 _let_257 :args _let_256))) (let ((_let_710 (TRANS _let_709 _let_414))) (let ((_let_711 (not _let_73))) (let ((_let_712 (and _let_81 _let_78 _let_436 _let_82 _let_83 _let_79 _let_80 _let_52 _let_53 _let_56 _let_61 _let_62 _let_63 _let_64 _let_68 _let_73 _let_455 _let_457 _let_76 _let_458 _let_459 _let_77))) (let ((_let_713 (CONG _let_520 _let_280 :args _let_256))) (let ((_let_714 (SYMM _let_518))) (let ((_let_715 (SYMM _let_515))) (let ((_let_716 (CONG _let_715 _let_257 :args _let_256))) (let ((_let_717 (TRANS _let_596 _let_716 _let_714 _let_713 _let_279))) (let ((_let_718 (CONG _let_717 _let_529 :args _let_256))) (let ((_let_719 (SYMM _let_717))) (let ((_let_720 (TRANS _let_616 _let_568 _let_566 (CONG _let_564 _let_719 :args _let_256) _let_551 _let_279))) (let ((_let_721 (TRANS _let_720 _let_719))) (let ((_let_722 (TRANS (CONG _let_721 _let_563 :args _let_256) _let_443))) (let ((_let_723 (TRANS _let_722 _let_719))) (let ((_let_724 (TRANS _let_717 _let_278))) (let ((_let_725 (CONG _let_724 _let_719 :args _let_256))) (let ((_let_726 (CONG _let_519 _let_362 :args _let_256))) (let ((_let_727 (TRANS _let_726 _let_515))) (let ((_let_728 (CONG _let_727 _let_563 :args _let_256))) (let ((_let_729 (CONG _let_528 _let_257 :args _let_256))) (let ((_let_730 (CONG _let_529 _let_719 :args _let_256))) (let ((_let_731 (TRANS _let_539 _let_536 _let_730 _let_729 _let_274))) (let ((_let_732 (CONG (TRANS _let_543 _let_731 (SYMM _let_727)) _let_563 :args _let_256))) (let ((_let_733 (CONG _let_671 _let_717 :args _let_256))) (let ((_let_734 (SYMM _let_721))) (let ((_let_735 (CONG _let_362 _let_719 :args _let_256))) (let ((_let_736 (SYMM _let_731))) (let ((_let_737 (TRANS _let_736 _let_562))) (let ((_let_738 (TRANS _let_729 _let_274))) (let ((_let_739 (SYMM _let_724))) (let ((_let_740 (TRANS (CONG _let_278 _let_362 :args _let_256) (CONG _let_739 _let_362 :args _let_256) _let_726 _let_515))) (let ((_let_741 (TRANS (CONG _let_719 _let_688 :args _let_256) (CONG (TRANS _let_717 _let_690) _let_688 :args _let_256) _let_687))) (let ((_let_742 (ASSUME :args (_let_73)))) (let ((_let_743 (CONG _let_717 (TRANS _let_274 _let_715 (SYMM _let_726) (CONG _let_706 _let_362 :args _let_256) (SYMM (SYMM _let_742))) :args _let_256))) (let ((_let_744 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_712)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_673 _let_663 _let_742 _let_517 _let_572 _let_705 _let_689 _let_413 _let_273 _let_528 _let_514 _let_442 _let_278 _let_691 _let_567 _let_254 _let_537 _let_519 _let_578 _let_371 _let_550 _let_686) (SCOPE (TRANS _let_596 _let_716 _let_714 _let_713 (CONG _let_257 (TRANS _let_542 _let_541 _let_539 _let_536) :args _let_256) (CONG _let_257 (TRANS _let_730 _let_729) :args _let_256) _let_743 _let_692 (CONG (TRANS _let_741 _let_736 _let_562) _let_740 :args _let_256) (CONG (TRANS _let_543 _let_731 (SYMM _let_738)) _let_737 :args _let_256) (CONG _let_738 _let_280 :args _let_256) _let_541 _let_539 _let_536 (CONG (TRANS _let_529 (SYMM _let_710) _let_709) (TRANS _let_278 (SYMM _let_713) _let_518 (SYMM _let_716) (CONG _let_737 _let_717 :args _let_256) (CONG (TRANS _let_543 _let_731 (TRANS _let_273 (SYMM _let_729) (SYMM _let_730) _let_575 _let_538 _let_574 _let_372 (SYMM _let_735) (CONG _let_362 (SYMM _let_722) :args _let_256) _let_573 (CONG (TRANS (CONG _let_362 _let_720 :args _let_256) _let_735 _let_542 _let_541 _let_539 _let_536 _let_730 _let_729 _let_274) _let_563 :args _let_256) (SYMM _let_728) (SYMM _let_732))) _let_277 :args _let_256) (SYMM _let_733)) :args _let_256) _let_674 (CONG _let_719 (TRANS (CONG _let_734 (TRANS _let_733 (CONG (TRANS _let_732 _let_728 _let_579) _let_719 :args _let_256)) :args _let_256) _let_664 (CONG _let_723 _let_717 :args _let_256) _let_725) :args _let_256) (CONG (SYMM _let_723) _let_710 :args _let_256) (CONG _let_723 _let_528 :args _let_256) _let_718) :args (_let_455 _let_457 _let_73 _let_68 _let_458 _let_82 _let_83 _let_81 _let_52 _let_78 _let_56 _let_436 _let_79 _let_77 _let_76 _let_62 _let_63 _let_80 _let_459 _let_64 _let_61 _let_53))) :args (_let_81 _let_78 _let_436 _let_82 _let_83 _let_79 _let_80 _let_52 _let_53 _let_56 _let_61 _let_62 _let_63 _let_64 _let_68 _let_73 _let_455 _let_457 _let_76 _let_458 _let_459 _let_77))) :args (true _let_712)) :args ((or _let_84 _let_251 _let_512 _let_446 _let_120 _let_119 _let_208 _let_207 _let_250 _let_654 _let_510 _let_509 _let_244 _let_508 _let_238 _let_507 _let_711 _let_652 _let_651 _let_506 _let_505 _let_503 _let_646))) _let_451 _let_449 _let_429 _let_115 _let_586 _let_585 _let_114 _let_644 _let_643 _let_112 _let_111 _let_108 _let_106 _let_104 _let_98 _let_93 _let_91 _let_90 _let_619 _let_429 _let_447 _let_618 _let_220 _let_216 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_430 _let_83))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_430 _let_82))) (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_707 _let_254 _let_514 _let_517 _let_519 _let_278 _let_528 _let_442 _let_550 _let_567 _let_413) (SCOPE (FALSE_ELIM (TRANS (CONG _let_524 (TRANS (CONG _let_257 (SYMM _let_709) :args _let_256) (CONG (SYMM _let_708) _let_710 :args _let_256) (CONG _let_708 _let_528 :args _let_256) (CONG _let_547 _let_529 :args _let_256)) :args (=)) (FALSE_INTRO _let_707))) :args (_let_492 _let_62 _let_56 _let_68 _let_80 _let_79 _let_78 _let_436 _let_61 _let_76 _let_81))) (MODUS_PONENS (AND_INTRO _let_278 _let_254 _let_514 _let_517 _let_519 _let_442 _let_550 _let_567 _let_663 _let_578 _let_273 _let_528 _let_537 _let_371 _let_673 _let_413 _let_572 _let_686 _let_689 _let_691 _let_694 _let_698 _let_559 _let_526 _let_556 _let_545 _let_554 _let_552 _let_699 _let_700 _let_701 _let_702 _let_705) (SCOPE (TRANS _let_523 (CONG _let_257 (TRANS _let_542 _let_541 _let_539 _let_668) :args _let_256) (CONG _let_257 (TRANS _let_535 _let_531) :args _let_256) (CONG _let_547 (TRANS _let_274 _let_559 (SYMM _let_695) (SYMM _let_697) (CONG (TRANS _let_547 (TRANS _let_523 _let_522 _let_518 _let_516 _let_255 _let_706 _let_704 _let_703) (CONG (TRANS (TRANS (CONG _let_688 _let_547 :args _let_256) _let_704 _let_703) (TRANS (CONG (REFL :args (_let_461)) _let_678 :args _let_256) (SYMM _let_701))) (SYMM _let_681) :args _let_256)) (TRANS _let_546 _let_696 _let_533 _let_527) :args _let_256) (SYMM (SYMM _let_700)) (CONG (REFL :args (_let_466)) _let_527 :args _let_256) (SYMM (SYMM _let_699)) (CONG (TRANS (SYMM (SYMM _let_698)) _let_693) (TRANS (CONG _let_523 _let_526 :args _let_256) (CONG _let_549 _let_527 :args _let_256) (CONG _let_550 _let_525 :args _let_256) _let_553 (SYMM _let_555) _let_697 _let_695 _let_560 _let_273 _let_577 _let_576 _let_679 _let_538 _let_574 _let_372 _let_678 _let_677 _let_573 _let_676 _let_579) :args _let_256) (SYMM (SYMM _let_694)) (CONG _let_688 (TRANS (CONG _let_685 _let_563 :args _let_256) (SYMM _let_676) _let_572 (SYMM _let_677) _let_675 _let_542 _let_541 _let_539 _let_668 _let_535 _let_531 _let_274 _let_514 (SYMM _let_665)) :args _let_256) _let_693) :args _let_256) _let_692 (CONG (TRANS (CONG _let_524 _let_688 :args _let_256) (TRANS (CONG (TRANS _let_547 _let_690) _let_688 :args _let_256) _let_687) _let_680 _let_562) _let_685 :args _let_256) (CONG _let_682 _let_681 :args _let_256) (CONG _let_532 _let_280 :args _let_256) _let_541 _let_539 _let_668 (CONG (TRANS _let_529 (TRANS _let_415 (SYMM _let_658)) _let_658) (TRANS _let_523 _let_522 _let_518 _let_516 (CONG _let_681 _let_547 :args _let_256) (CONG (TRANS _let_543 _let_669 (TRANS _let_273 _let_577 _let_576 _let_679 _let_538 _let_574 _let_372 _let_678 _let_677 _let_573 _let_676 (SYMM _let_667) (SYMM _let_670))) _let_277 :args _let_256) (SYMM _let_672)) :args _let_256) _let_674 (CONG _let_524 (TRANS (CONG (SYMM _let_661) (TRANS _let_672 (CONG (TRANS _let_670 _let_667 _let_579) _let_524 :args _let_256)) :args _let_256) _let_664 (CONG (TRANS _let_662 _let_524) _let_547 :args _let_256) (CONG _let_659 _let_524 :args _let_256)) :args _let_256) (CONG _let_257 _let_658 :args _let_256)) :args (_let_79 _let_62 _let_56 _let_68 _let_80 _let_436 _let_61 _let_76 _let_457 _let_459 _let_52 _let_78 _let_63 _let_64 _let_455 _let_81 _let_458 _let_53 _let_83 _let_77 _let_474 _let_475 _let_460 _let_464 _let_430 _let_477 _let_471 _let_476 _let_473 _let_478 _let_467 _let_462 _let_82)))) :args (_let_81 _let_78 _let_436 _let_430 _let_82 _let_83 _let_492 _let_79 _let_80 _let_52 _let_460 _let_53 _let_56 _let_462 _let_61 _let_62 _let_63 _let_64 _let_68 _let_455 _let_457 _let_76 _let_458 _let_464 _let_459 _let_467 _let_471 _let_473 _let_474 _let_475 _let_476 _let_477 _let_77 _let_478)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_656)))) (TRUE_INTRO (ASSUME :args (_let_655))))) :args (_let_656 _let_655)) :args ((not (and _let_81 _let_78 _let_436 _let_430 _let_82 _let_83 _let_492 _let_79 _let_80 _let_52 _let_460 _let_53 _let_56 _let_462 _let_61 _let_62 _let_63 _let_64 _let_68 _let_455 _let_457 _let_76 _let_458 _let_464 _let_459 _let_467 _let_471 _let_473 _let_474 _let_475 _let_476 _let_477 _let_77 _let_478)) SB_LITERAL))) (CONG (REFL :args (_let_251)) (REFL :args (_let_512)) (REFL :args (_let_446)) (REFL :args (_let_431)) (REFL :args (_let_120)) (REFL :args (_let_119)) (MACRO_SR_PRED_INTRO :args ((= (not _let_492) _let_84))) (REFL :args (_let_208)) (REFL :args (_let_207)) (REFL :args (_let_250)) (REFL :args (_let_511)) (REFL :args (_let_654)) (REFL :args (_let_510)) (REFL :args (_let_653)) (REFL :args (_let_509)) (REFL :args (_let_244)) (REFL :args (_let_508)) (REFL :args (_let_238)) (REFL :args (_let_507)) (REFL :args (_let_652)) (REFL :args (_let_651)) (REFL :args (_let_506)) (REFL :args (_let_505)) (REFL :args (_let_504)) (REFL :args (_let_503)) (REFL :args (_let_650)) (REFL :args (_let_502)) (REFL :args (_let_649)) (REFL :args (_let_648)) (REFL :args (_let_647)) (REFL :args (_let_501)) (REFL :args (_let_500)) (REFL :args (_let_646)) (REFL :args (_let_645)) :args _let_221)) :args ((or _let_84 _let_251 _let_512 _let_446 _let_431 _let_120 _let_119 _let_208 _let_207 _let_250 _let_511 _let_654 _let_510 _let_653 _let_509 _let_244 _let_508 _let_238 _let_507 _let_652 _let_651 _let_506 _let_505 _let_504 _let_503 _let_650 _let_502 _let_649 _let_648 _let_647 _let_501 _let_500 _let_646 _let_645))) _let_451 _let_449 _let_429 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_466 tptp.identity tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_478 false _let_48)) _let_115 (MACRO_RESOLUTION_TRUST _let_493 _let_95 :args (_let_477 false _let_48)) (MACRO_RESOLUTION_TRUST _let_494 _let_95 :args (_let_476 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c1 tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_475 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c1 _let_71 tptp.sk_c5 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_474 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_465 tptp.sk_c7 tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_473 false _let_48)) (MACRO_RESOLUTION_TRUST _let_495 _let_95 :args (_let_471 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_461 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.sk_c7 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_467 false _let_48)) _let_586 (MACRO_RESOLUTION_TRUST _let_497 _let_100 :args (_let_464 false _let_99)) _let_585 _let_114 _let_644 _let_643 _let_111 _let_108 _let_106 _let_104 _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c1 tptp.sk_c8 _let_59 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_462 false _let_48)) _let_93 _let_91 _let_583 _let_90 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_84 _let_83))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_84 _let_82))) (EQ_RESOLVE (ASSUME :args (_let_47)) (MACRO_SR_EQ_INTRO :args (_let_47 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_620)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_275 _let_303 _let_442 _let_440 _let_591 _let_556 _let_559 _let_254 _let_261 _let_258 _let_300 _let_266 _let_273 _let_528 _let_278 _let_282 _let_291 _let_364 _let_369 _let_378 _let_380 _let_636 _let_639) (SCOPE (TRANS _let_530 (CONG (TRANS _let_596 _let_595 _let_593 _let_590 _let_443 _let_278 _let_285 _let_282 _let_642 _let_641 _let_637 _let_635 _let_381 _let_634 _let_293 _let_632 _let_629 _let_531 _let_274 _let_624 _let_623 (CONG (TRANS _let_278 (TRANS _let_285 _let_282 _let_642 _let_641 _let_637 _let_635 _let_381 _let_634 _let_293 _let_632 _let_629 _let_531 _let_274) _let_625) _let_260 :args _let_256) _let_628 _let_267) :args _let_253) _let_262 (SYMM _let_301) _let_626 _let_622 (SYMM _let_304) _let_621) :args (_let_127 _let_142 _let_436 _let_437 _let_482 _let_430 _let_460 _let_62 _let_124 _let_131 _let_152 _let_174 _let_52 _let_78 _let_79 _let_140 _let_173 _let_147 _let_157 _let_134 _let_175 _let_490 _let_491))) :args (_let_78 _let_436 _let_437 _let_430 _let_79 _let_127 _let_124 _let_52 _let_460 _let_131 _let_134 _let_140 _let_142 _let_482 _let_147 _let_62 _let_152 _let_157 _let_490 _let_173 _let_174 _let_175 _let_491))) :args (true _let_620)) :args ((or _let_81 _let_512 _let_446 _let_588 _let_431 _let_208 _let_128 _let_125 _let_250 _let_511 _let_249 _let_248 _let_247 _let_246 _let_587 _let_245 _let_244 _let_243 _let_242 (not _let_490) _let_241 _let_240 _let_239 (not _let_491)))) _let_449 _let_429 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c7 tptp.sk_c4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94))) _let_95 :args (_let_491 false _let_48)) _let_237 _let_236 _let_235 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_141 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_138 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_490 false _let_48)) _let_234 _let_233 _let_104 _let_232 _let_584 _let_231 _let_230 _let_229 _let_228 _let_583 _let_90 _let_227 _let_226 _let_619 _let_429 _let_447 _let_618 _let_224 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_219 :args (tptp.sk_c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_218)) :args _let_217)) (REORDERING (CNF_OR_POS :args (_let_489)) :args ((or _let_488 _let_487 (not _let_489)))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_589)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_442 _let_440 _let_591 _let_556 _let_559 _let_254 _let_278 _let_601 _let_371 _let_273 _let_537 _let_528 _let_608 _let_610 _let_578 _let_550 _let_567 _let_572) (SCOPE (TRANS _let_596 (CONG (SYMM _let_613) _let_257 :args _let_256) (CONG (TRANS _let_375 _let_612 (TRANS _let_273 _let_603 _let_602 _let_538 _let_373 _let_372 (CONG _let_362 (TRANS _let_596 _let_595 _let_593 _let_590 (CONG _let_601 _let_563 :args _let_256) (CONG (SYMM _let_606) _let_563 :args _let_256) (CONG (TRANS _let_605 (SYMM _let_617)) _let_563 :args _let_256)) :args _let_256) _let_573 (CONG (CONG _let_362 _let_617 :args _let_256) _let_563 :args _let_256) _let_614 _let_579) (SYMM _let_615)) _let_597 :args _let_256) (CONG _let_615 _let_605 :args _let_256) (CONG (TRANS _let_440 _let_598) _let_257 :args _let_256) (SYMM (SYMM _let_610)) (CONG _let_525 (TRANS (CONG (TRANS _let_605 (TRANS _let_601 (CONG _let_278 _let_609 :args _let_256))) _let_257 :args _let_256) (SYMM (SYMM _let_608)) (CONG _let_279 _let_607 :args _let_256) (CONG _let_277 (TRANS _let_531 _let_274 _let_561 _let_594) :args _let_256) (CONG _let_606 (TRANS _let_604 _let_560 _let_273 _let_603 _let_602 _let_538 _let_373 _let_372) :args _let_256) (CONG (SYMM _let_601) _let_280 :args _let_256) _let_279 _let_442 _let_600 _let_592 _let_599 _let_255) :args _let_256) _let_598) :args (_let_436 _let_437 _let_482 _let_430 _let_460 _let_62 _let_79 _let_84 _let_64 _let_52 _let_63 _let_78 _let_483 _let_485 _let_459 _let_61 _let_76 _let_458))) :args (_let_84 _let_78 _let_436 _let_437 _let_430 _let_79 _let_52 _let_460 _let_482 _let_61 _let_62 _let_63 _let_64 _let_483 _let_485 _let_76 _let_458 _let_459))) :args (true _let_589)) :args ((or _let_492 _let_512 _let_446 _let_588 _let_431 _let_208 _let_250 _let_511 _let_587 _let_509 _let_244 _let_508 _let_238 (not _let_483) (not _let_485) _let_506 _let_505 _let_486 _let_503))) _let_429 _let_449 _let_586 _let_585 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c4 tptp.sk_c7 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_485 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_60 tptp.sk_c6 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_483 false _let_48)) _let_108 _let_106 _let_104 _let_98 _let_584 _let_583 _let_90 (RESOLUTION (CNF_AND_NEG :args (_let_580)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_556 _let_519 (MODUS_PONENS (AND_INTRO _let_519 _let_254 _let_514 _let_517 _let_278) (SCOPE (TRANS _let_523 _let_522 _let_518 _let_516 _let_255 _let_521) :args (_let_80 _let_62 _let_56 _let_68 _let_79)))) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_581)))) _let_520 _let_582) :args (_let_430 _let_80 _let_581))) :args (_let_430 _let_79 _let_80 _let_56 _let_62 _let_68))) :args (true _let_580)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_513)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_254 _let_514 _let_517 _let_519 _let_278 _let_526 _let_273 _let_528 _let_537 _let_371 _let_545 _let_548 _let_550 _let_552 _let_554 _let_556 _let_559 _let_442 _let_567 _let_572 _let_578) (SCOPE (TRANS (SYMM _let_579) (CONG (TRANS _let_273 _let_577 _let_576 _let_575 _let_538 _let_574 _let_372 (CONG _let_362 _let_547 :args _let_256) (CONG _let_362 (SYMM _let_570) :args _let_256)) _let_563 :args _let_256) (SYMM _let_573) (CONG _let_362 _let_571 :args _let_256) (CONG _let_362 (TRANS _let_523 _let_522 _let_518 _let_516 (CONG (TRANS (SYMM _let_540) _let_562) _let_547 :args _let_256) (CONG (TRANS _let_543 _let_540 (TRANS _let_561 (CONG _let_558 _let_526 :args _let_256) (CONG _let_557 (TRANS (SYMM _let_533) (SYMM _let_544) _let_545) :args _let_256) _let_555 (SYMM _let_553) (CONG _let_551 _let_525 :args _let_256))) _let_277 :args _let_256) (CONG (TRANS (CONG _let_549 _let_526 :args _let_256) (CONG (TRANS _let_279 _let_524) _let_527 :args _let_256)) _let_524 :args _let_256)) :args _let_256) (SYMM _let_548) (CONG _let_546 _let_547 :args _let_256) (CONG (TRANS _let_545 (TRANS _let_546 _let_544 _let_533 _let_527)) _let_277 :args _let_256) (CONG _let_525 _let_524 :args _let_256)) :args (_let_62 _let_56 _let_68 _let_80 _let_79 _let_464 _let_52 _let_78 _let_63 _let_64 _let_477 _let_480 _let_61 _let_476 _let_471 _let_430 _let_460 _let_436 _let_76 _let_458 _let_459))) :args (_let_78 _let_436 _let_430 _let_79 _let_80 _let_52 _let_460 _let_56 _let_61 _let_62 _let_63 _let_64 _let_68 _let_480 _let_76 _let_458 _let_464 _let_459 _let_471 _let_476 _let_477))) :args (true _let_513)) :args ((or _let_437 _let_512 _let_446 _let_431 _let_208 _let_207 _let_250 _let_511 _let_510 _let_509 _let_244 _let_508 _let_238 _let_507 (not _let_480) _let_506 _let_505 _let_504 _let_503 _let_502 _let_501 _let_500))) _let_89 _let_499 _let_92 _let_86 _let_97 _let_103 _let_105 _let_107 _let_110 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_468 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_113 _let_498 _let_497 _let_496 _let_100 _let_495 _let_494 _let_493 _let_95 _let_429 _let_417 _let_450 _let_421 _let_447 :args ((or _let_492 _let_446 _let_431) false _let_79 false _let_78 false _let_491 false _let_175 false _let_174 false _let_173 false _let_490 false _let_157 false _let_152 false _let_62 false _let_147 false _let_482 false _let_142 false _let_140 false _let_134 false _let_131 false _let_460 false _let_52 false _let_124 false _let_127 true _let_81 false _let_78 true _let_210 true _let_452 true _let_129 true _let_122 true _let_489 false _let_486 false _let_78 false _let_79 false _let_459 false _let_458 false _let_76 false _let_485 false _let_483 false _let_64 false _let_63 false _let_62 false _let_61 false _let_482 false _let_460 false _let_52 false _let_481 false _let_437 false _let_52 false _let_460 false _let_56 false _let_85 false _let_61 false _let_62 false _let_63 false _let_64 false _let_68 false _let_480 false _let_76 false _let_458 false _let_464 false _let_459 false _let_99 false _let_471 false _let_476 false _let_477 false _let_48 false _let_78 false _let_79 false _let_80 true _let_209 true _let_210)) :args ((or _let_446 _let_431) false _let_80 false _let_79 false _let_78 false _let_478 false _let_77 false _let_477 false _let_476 false _let_475 false _let_474 false _let_473 false _let_471 false _let_467 false _let_459 false _let_464 false _let_458 false _let_76 false _let_457 false _let_455 false _let_68 false _let_64 false _let_63 false _let_62 false _let_61 false _let_462 false _let_56 false _let_53 false _let_460 false _let_52 false _let_83 false _let_82 false _let_81 true _let_84)) :args (_let_446 false _let_80 false _let_79 false _let_78 false _let_77 false _let_459 false _let_458 false _let_76 false _let_457 false _let_455 false _let_73 false _let_68 false _let_64 false _let_63 false _let_62 false _let_61 false _let_56 false _let_53 false _let_52 true _let_84 false _let_78 true _let_210 true _let_452 true _let_122 true _let_121 false _let_83 false _let_82 false _let_81 true _let_430)))) (let ((_let_745 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_45)) (MACRO_SR_EQ_INTRO :args (_let_45 SB_DEFAULT SBA_FIXPOINT))) _let_744 :args (_let_81 true _let_436)))) (let ((_let_746 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_39)) (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_436 _let_82))) _let_744 :args (_let_82 true _let_436)))) (let ((_let_747 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_436 _let_83))) _let_744 :args (_let_83 true _let_436)))) (let ((_let_748 (and _let_81 _let_78 _let_82 _let_83 _let_79 _let_80 _let_52 _let_53 _let_56 _let_61 _let_62 _let_63 _let_64 _let_66 _let_67 _let_68 _let_70 _let_73 _let_75 _let_76 _let_77))) (let ((_let_749 (CONG _let_257 (TRANS _let_602 _let_538 _let_373 _let_372) :args _let_256))) (let ((_let_750 (CONG _let_528 _let_717 :args _let_256))) (let ((_let_751 (CONG _let_529 _let_257 :args _let_256))) (let ((_let_752 (CONG _let_257 (TRANS _let_751 _let_750) :args _let_256))) (let ((_let_753 (CONG _let_739 _let_273 :args _let_256))) (let ((_let_754 (SYMM _let_751))) (let ((_let_755 (TRANS _let_754 _let_274))) (let ((_let_756 (ASSUME :args (_let_75)))) (let ((_let_757 (TRANS _let_373 _let_372))) (let ((_let_758 (SYMM _let_755))) (let ((_let_759 (SYMM _let_750))) (let ((_let_760 (CONG _let_755 _let_280 :args _let_256))) (let ((_let_761 (CONG _let_280 (TRANS _let_760 _let_374 _let_537 _let_611 _let_759 _let_754 _let_274) :args _let_256))) (let ((_let_762 (SYMM _let_760))) (let ((_let_763 (CONG _let_280 (TRANS _let_371 _let_762) :args _let_256))) (let ((_let_764 (ASSUME :args (_let_70)))) (let ((_let_765 (TRANS _let_273 _let_751 _let_750 _let_602 _let_538))) (let ((_let_766 (TRANS _let_755 _let_765 _let_757))) (let ((_let_767 (CONG _let_766 (TRANS _let_371 _let_374 _let_537 _let_611 _let_759 _let_754 _let_274) :args _let_256))) (let ((_let_768 (ASSUME :args (_let_67)))) (let ((_let_769 (SYMM _let_752))) (let ((_let_770 (SYMM _let_749))) (let ((_let_771 (ASSUME :args (_let_66)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_748)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_764 _let_756 _let_742 _let_517 _let_768 _let_705 _let_689 _let_413 _let_273 _let_528 _let_514 _let_278 _let_691 _let_567 _let_254 _let_537 _let_771 _let_519 _let_550 _let_686 _let_371) (SCOPE (TRANS _let_596 _let_716 _let_714 _let_713 _let_770 _let_769 (SYMM _let_753) (CONG _let_279 (REFL :args (tptp.identity)) :args _let_256) (CONG _let_277 _let_758 :args _let_256) (SYMM _let_771) (CONG (REFL :args (_let_16)) (TRANS _let_596 _let_716 _let_714 _let_713 _let_770 _let_769 _let_743 _let_692 (CONG (TRANS _let_741 _let_765 _let_757) _let_740 :args _let_256) (SYMM _let_767) _let_760 _let_372) :args _let_256) (SYMM (SYMM _let_768)) (CONG _let_719 (TRANS (CONG _let_609 (SYMM _let_766) :args _let_256) (CONG _let_413 _let_766 :args _let_256) (CONG (REFL :args (_let_42)) (TRANS _let_371 _let_762 _let_767 (SYMM _let_761) (SYMM _let_763)) :args _let_256) (SYMM (SYMM _let_764)) (CONG _let_719 (TRANS (CONG _let_717 (REFL :args (_let_69)) :args _let_256) (CONG _let_719 (TRANS _let_763 _let_761 (CONG (SYMM _let_757) _let_758 :args _let_256) (CONG _let_757 _let_607 :args _let_256)) :args _let_256) (SYMM _let_756) (CONG _let_549 _let_755 :args _let_256) _let_753 _let_752 _let_749 _let_279) :args _let_256) _let_725) :args _let_256) (CONG _let_734 _let_710 :args _let_256) (CONG _let_721 _let_528 :args _let_256) _let_718) :args (_let_70 _let_75 _let_73 _let_68 _let_67 _let_82 _let_83 _let_81 _let_52 _let_78 _let_56 _let_79 _let_77 _let_76 _let_62 _let_63 _let_66 _let_80 _let_61 _let_53 _let_64))) :args (_let_81 _let_78 _let_82 _let_83 _let_79 _let_80 _let_52 _let_53 _let_56 _let_61 _let_62 _let_63 _let_64 _let_66 _let_67 _let_68 _let_70 _let_73 _let_75 _let_76 _let_77))) :args (true _let_748)) :args ((or _let_84 _let_251 _let_512 _let_120 _let_119 _let_208 _let_207 _let_250 _let_654 _let_510 _let_509 _let_244 _let_508 _let_238 (not _let_66) (not _let_67) _let_507 (not _let_70) _let_711 (not _let_75) _let_506 _let_646))) (MACRO_RESOLUTION_TRUST _let_619 _let_745 _let_429 (MACRO_RESOLUTION_TRUST _let_220 (MACRO_RESOLUTION_TRUST _let_216 _let_746 _let_747 :args (_let_215 false _let_82 false _let_83)) :args (_let_222 true _let_121)) _let_447 _let_618 :args (_let_492 false _let_81 false _let_78 true _let_122 true _let_210 true _let_452)) _let_747 _let_746 _let_745 _let_451 _let_449 _let_429 _let_115 _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c8 _let_59 _let_65 QUANTIFIERS_INST_E_MATCHING _let_96)) :args _let_94)) _let_95 :args (_let_75 false _let_48)) _let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c7 tptp.sk_c8 _let_69 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_70 false _let_48)) _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c7 tptp.sk_c6 _let_59 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_67 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.sk_c7 tptp.sk_c6 tptp.sk_c8 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_94)) _let_95 :args (_let_66 false _let_48)) _let_108 _let_106 _let_104 _let_98 _let_93 _let_91 _let_90 :args (false true _let_84 false _let_83 false _let_82 false _let_81 false _let_80 false _let_79 false _let_78 false _let_77 false _let_76 false _let_75 false _let_73 false _let_70 false _let_68 false _let_67 false _let_66 false _let_64 false _let_63 false _let_62 false _let_61 false _let_56 false _let_53 false _let_52)) :args (_let_50 _let_49 _let_48 _let_47 _let_46 _let_45 (or _let_43 _let_8) _let_44 _let_41 _let_40 _let_39 (or _let_37 _let_8) _let_38 _let_35 _let_34 _let_33 (or _let_31 _let_8) _let_32 (or _let_25 _let_17) _let_29 _let_28 _let_27 _let_26 (or _let_19 _let_17) _let_23 _let_22 _let_21 _let_20 (or _let_5 _let_17) _let_15 _let_12 _let_9 _let_6 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.90/1.10 )
% 0.90/1.10 % SZS output end Proof for GRP328-1
% 0.90/1.11 % cvc5---1.0.5 exiting
% 0.90/1.11 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------