TSTP Solution File: GRP236-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP236-1 : 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 00:25:17 EDT 2023

% Result   : Unsatisfiable 12.33s 12.54s
% Output   : Proof 12.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP236-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14  % 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 21:16:50 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.HbIqwN9bIq/cvc5---1.0.5_25457.p...
% 0.21/0.49  ------- get file name : TPTP file name is GRP236-1
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25457.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.51/10.85  --- Run --no-e-matching --full-saturate-quant at 5...
% 12.33/12.54  % SZS status Unsatisfiable for GRP236-1
% 12.33/12.54  % SZS output start Proof for GRP236-1
% 12.33/12.55  (
% 12.33/12.55  (let ((_let_1 (forall ((X4 $$unsorted) (X5 $$unsorted) (X6 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X4) tptp.sk_c8)) (not (= (tptp.multiply X4 tptp.sk_c7) tptp.sk_c8)) (not (= (tptp.multiply X5 X6) tptp.sk_c7)) (not (= (tptp.inverse X5) X6)) (not (= (tptp.multiply X6 tptp.sk_c8) tptp.sk_c7)) (not (= (tptp.inverse X1) tptp.sk_c8)) (not (= (tptp.multiply X1 tptp.sk_c7) tptp.sk_c8)) (not (= (tptp.multiply tptp.sk_c8 X2) tptp.sk_c7)) (not (= (tptp.multiply X3 tptp.sk_c8) X2)) (not (= (tptp.inverse X3) tptp.sk_c8)))))) (let ((_let_2 (tptp.inverse tptp.sk_c5))) (let ((_let_3 (= _let_2 tptp.sk_c8))) (let ((_let_4 (tptp.multiply tptp.sk_c3 tptp.sk_c8))) (let ((_let_5 (= _let_4 tptp.sk_c7))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.multiply tptp.sk_c5 tptp.sk_c8))) (let ((_let_8 (= _let_7 tptp.sk_c6))) (let ((_let_9 (or _let_5 _let_8))) (let ((_let_10 (tptp.multiply tptp.sk_c8 tptp.sk_c6))) (let ((_let_11 (= _let_10 tptp.sk_c7))) (let ((_let_12 (or _let_5 _let_11))) (let ((_let_13 (tptp.multiply tptp.sk_c4 tptp.sk_c7))) (let ((_let_14 (= _let_13 tptp.sk_c8))) (let ((_let_15 (tptp.inverse tptp.sk_c4))) (let ((_let_16 (= _let_15 tptp.sk_c8))) (let ((_let_17 (or _let_5 _let_16))) (let ((_let_18 (tptp.inverse tptp.sk_c2))) (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_16))) (let ((_let_24 (tptp.multiply tptp.sk_c2 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_16))) (let ((_let_30 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (let ((_let_31 (= _let_30 tptp.sk_c8))) (let ((_let_32 (or _let_31 _let_14))) (let ((_let_33 (or _let_31 _let_16))) (let ((_let_34 (tptp.inverse tptp.sk_c1))) (let ((_let_35 (= _let_34 tptp.sk_c8))) (let ((_let_36 (or _let_35 _let_3))) (let ((_let_37 (or _let_35 _let_8))) (let ((_let_38 (or _let_35 _let_11))) (let ((_let_39 (or _let_35 _let_14))) (let ((_let_40 (or _let_35 _let_16))) (let ((_let_41 (tptp.inverse tptp.sk_c8))) (let ((_let_42 (= _let_41 tptp.sk_c7))) (let ((_let_43 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_44 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_45 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_46 (tptp.inverse tptp.identity))) (let ((_let_47 (= _let_41 (tptp.multiply _let_46 tptp.sk_c8)))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.multiply tptp.identity _let_46))) (let ((_let_50 (= _let_41 _let_49))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_48))) (let ((_let_53 (forall ((X5 $$unsorted)) (let ((_let_1 (tptp.inverse X5))) (let ((_let_2 (tptp.inverse tptp.sk_c8))) (or (not (= _let_2 (tptp.multiply X5 _let_1))) (not (= _let_2 (tptp.multiply _let_1 tptp.sk_c8))))))))) (let ((_let_54 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.inverse X4))) (not (= tptp.sk_c8 (tptp.multiply X4 (tptp.inverse tptp.sk_c8)))))))) (let ((_let_55 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c8 (tptp.inverse X1))) (not (= tptp.sk_c8 (tptp.multiply X1 (tptp.inverse tptp.sk_c8)))))))) (let ((_let_56 (forall ((X3 $$unsorted)) (or (not (= (tptp.inverse tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply X3 tptp.sk_c8)))) (not (= tptp.sk_c8 (tptp.inverse X3))))))) (let ((_let_57 (tptp.multiply tptp.sk_c4 _let_41))) (let ((_let_58 (= tptp.sk_c8 _let_57))) (let ((_let_59 (not _let_58))) (let ((_let_60 (= tptp.sk_c8 _let_15))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_59))) (let ((_let_63 (not _let_54))) (let ((_let_64 (not _let_62))) (let ((_let_65 (= tptp.sk_c8 _let_34))) (let ((_let_66 (tptp.multiply tptp.sk_c1 _let_41))) (let ((_let_67 (= tptp.sk_c8 _let_66))) (let ((_let_68 (= tptp.sk_c8 (tptp.multiply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_41)))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.inverse SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_71 (= tptp.sk_c8 _let_70))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_69))) (let ((_let_74 (tptp.multiply _let_41 tptp.sk_c8))) (let ((_let_75 (= tptp.identity _let_74))) (let ((_let_76 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (let ((_let_77 (tptp.multiply _let_34 tptp.sk_c1))) (let ((_let_78 (= tptp.identity _let_77))) (let ((_let_79 (tptp.multiply tptp.sk_c8 tptp.sk_c1))) (let ((_let_80 (= (tptp.multiply _let_74 tptp.sk_c1) (tptp.multiply _let_41 _let_79)))) (let ((_let_81 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.multiply tptp.identity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_82 (= tptp.identity (tptp.multiply _let_70 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_83 (= (tptp.multiply _let_74 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.multiply _let_41 (tptp.multiply tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_84 (not _let_65))) (let ((_let_85 (not _let_67))) (let ((_let_86 (or _let_84 _let_85))) (let ((_let_87 (= _let_41 _let_4))) (let ((_let_88 (= tptp.sk_c3 _let_18))) (let ((_let_89 (= _let_41 _let_24))) (let ((_let_90 (= _let_41 _let_10))) (let ((_let_91 (= tptp.sk_c6 _let_7))) (let ((_let_92 (= tptp.sk_c8 _let_2))) (let ((_let_93 (tptp.multiply tptp.identity tptp.sk_c8))) (let ((_let_94 (= tptp.sk_c8 _let_93))) (let ((_let_95 (= _let_41 (tptp.multiply tptp.identity _let_41)))) (let ((_let_96 (= (tptp.multiply _let_77 _let_41) (tptp.multiply _let_34 _let_66)))) (let ((_let_97 (= _let_41 (tptp.multiply _let_15 tptp.sk_c8)))) (let ((_let_98 (= (tptp.multiply (tptp.multiply tptp.sk_c8 _let_93) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply _let_93 tptp.sk_c8))))) (let ((_let_99 (tptp.multiply tptp.sk_c8 tptp.sk_c8))) (let ((_let_100 (= (tptp.multiply (tptp.multiply tptp.sk_c8 _let_99) tptp.sk_c8) (tptp.multiply tptp.sk_c8 (tptp.multiply _let_99 tptp.sk_c8))))) (let ((_let_101 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) (let ((_let_102 (= (tptp.multiply _let_74 _let_41) (tptp.multiply _let_41 (tptp.multiply tptp.sk_c8 _let_41))))) (let ((_let_103 (= (tptp.multiply _let_99 tptp.sk_c6) (tptp.multiply tptp.sk_c8 _let_10)))) (let ((_let_104 (= (tptp.multiply _let_79 tptp.sk_c6) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (let ((_let_105 (= _let_41 (tptp.multiply tptp.sk_c8 _let_7)))) (let ((_let_106 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (let ((_let_107 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (let ((_let_108 (tptp.multiply _let_15 tptp.sk_c4))) (let ((_let_109 (= tptp.identity _let_108))) (let ((_let_110 (= _let_15 (tptp.multiply tptp.identity _let_15)))) (let ((_let_111 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) (let ((_let_112 (tptp.multiply _let_2 tptp.sk_c5))) (let ((_let_113 (= tptp.identity _let_112))) (let ((_let_114 (= _let_7 (tptp.multiply tptp.identity _let_7)))) (let ((_let_115 (= _let_2 (tptp.multiply tptp.identity _let_2)))) (let ((_let_116 (= (tptp.multiply _let_99 tptp.sk_c4) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c4))))) (let ((_let_117 (= (tptp.multiply _let_79 tptp.sk_c4) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c4))))) (let ((_let_118 (= (tptp.multiply _let_7 tptp.sk_c8) (tptp.multiply tptp.sk_c5 _let_99)))) (let ((_let_119 (tptp.multiply tptp.sk_c1 tptp.sk_c8))) (let ((_let_120 (= (tptp.multiply (tptp.multiply tptp.sk_c5 tptp.sk_c1) tptp.sk_c8) (tptp.multiply tptp.sk_c5 _let_119)))) (let ((_let_121 (= (tptp.multiply _let_99 tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c8 tptp.sk_c5))))) (let ((_let_122 (= (tptp.multiply _let_79 tptp.sk_c5) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c1 tptp.sk_c5))))) (let ((_let_123 (= _let_41 (tptp.multiply tptp.sk_c4 _let_15)))) (let ((_let_124 (not _let_97))) (let ((_let_125 (not _let_123))) (let ((_let_126 (or _let_125 _let_124))) (let ((_let_127 (not _let_92))) (let ((_let_128 (not _let_105))) (let ((_let_129 (or _let_128 _let_127))) (let ((_let_130 (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_84 _let_85 (not _let_86)))))) (let ((_let_131 (_let_54))) (let ((_let_132 (ASSUME :args _let_131))) (let ((_let_133 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.sk_c1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_131)))) (let ((_let_134 (not _let_55))) (let ((_let_135 (REORDERING (EQUIV_ELIM1 (SYMM (ALPHA_EQUIV :args (_let_54 (= X4 X1))))) :args ((or _let_54 _let_134))))) (let ((_let_136 (= tptp.sk_c7 _let_4))) (let ((_let_137 (SYMM (ASSUME :args (_let_42))))) (let ((_let_138 (= tptp.sk_c7 _let_10))) (let ((_let_139 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_140 (EQ_RESOLVE (ASSUME :args (_let_45)) (MACRO_SR_EQ_INTRO :args (_let_45 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_141 (_let_139))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (tptp.sk_c8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_141)) _let_140 :args (_let_94 false _let_139)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (_let_41 QUANTIFIERS_INST_ENUM)) :args _let_141)) _let_140 :args (_let_95 false _let_139)))) (let ((_let_144 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_146 (_let_144))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.sk_c8 QUANTIFIERS_INST_ENUM)) :args _let_146)) _let_145 :args (_let_75 false _let_144)))) (let ((_let_148 (tptp.sk_c1 QUANTIFIERS_INST_ENUM))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args _let_148) :args _let_141)) _let_140 :args (_let_76 false _let_139)))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args _let_148) :args _let_146)) _let_145 :args (_let_78 false _let_144)))) (let ((_let_151 (_let_43))) (let ((_let_152 (ASSUME :args _let_151))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_34 tptp.sk_c1 _let_41 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_151)) _let_152 :args (_let_96 false _let_43)))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.sk_c8 _let_93 tptp.sk_c8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_151)) _let_152 :args (_let_98 false _let_43)))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.sk_c8 _let_99 tptp.sk_c8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_151)) _let_152 :args (_let_100 false _let_43)))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (tptp.sk_c6 QUANTIFIERS_INST_ENUM)) :args _let_141)) _let_140 :args (_let_101 false _let_139)))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_41 tptp.sk_c8 _let_41 QUANTIFIERS_INST_CBQI_PROP)) :args _let_151)) _let_152 :args (_let_102 false _let_43)))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_41 tptp.sk_c8 tptp.sk_c1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_151)) _let_152 :args (_let_80 false _let_43)))) (let ((_let_159 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.sk_c8 tptp.sk_c8 tptp.sk_c6 QUANTIFIERS_INST_ENUM)) :args _let_151)) _let_152 :args (_let_103 false _let_43)))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.sk_c8 tptp.sk_c1 tptp.sk_c6 QUANTIFIERS_INST_ENUM)) :args _let_151)) _let_152 :args (_let_104 false _let_43)))) (let ((_let_161 (not _let_104))) (let ((_let_162 (not _let_103))) (let ((_let_163 (not _let_80))) (let ((_let_164 (not _let_102))) (let ((_let_165 (not _let_101))) (let ((_let_166 (not _let_100))) (let ((_let_167 (not _let_98))) (let ((_let_168 (not _let_96))) (let ((_let_169 (not _let_78))) (let ((_let_170 (not _let_76))) (let ((_let_171 (not _let_75))) (let ((_let_172 (not _let_95))) (let ((_let_173 (not _let_94))) (let ((_let_174 (not _let_91))) (let ((_let_175 (not _let_90))) (let ((_let_176 (and _let_65 _let_91 _let_90 _let_67 _let_94 _let_95 _let_75 _let_76 _let_78 _let_96 _let_98 _let_100 _let_101 _let_102 _let_80 _let_103 _let_104))) (let ((_let_177 (APPLY_UF tptp.multiply))) (let ((_let_178 (ASSUME :args (_let_94)))) (let ((_let_179 (SYMM _let_178))) (let ((_let_180 (CONG _let_179 (REFL :args (_let_7)) :args _let_177))) (let ((_let_181 (ASSUME :args (_let_91)))) (let ((_let_182 (SYMM _let_181))) (let ((_let_183 (SYMM _let_182))) (let ((_let_184 (ASSUME :args (_let_101)))) (let ((_let_185 (SYMM _let_184))) (let ((_let_186 (SYMM _let_185))) (let ((_let_187 (REFL :args (tptp.sk_c6)))) (let ((_let_188 (ASSUME :args (_let_78)))) (let ((_let_189 (SYMM _let_188))) (let ((_let_190 (SYMM _let_189))) (let ((_let_191 (SYMM _let_190))) (let ((_let_192 (REFL :args (tptp.sk_c1)))) (let ((_let_193 (ASSUME :args (_let_65)))) (let ((_let_194 (SYMM _let_193))) (let ((_let_195 (SYMM _let_194))) (let ((_let_196 (CONG _let_195 _let_192 :args _let_177))) (let ((_let_197 (TRANS _let_196 _let_191))) (let ((_let_198 (ASSUME :args (_let_104)))) (let ((_let_199 (SYMM _let_198))) (let ((_let_200 (SYMM _let_199))) (let ((_let_201 (ASSUME :args (_let_76)))) (let ((_let_202 (SYMM _let_201))) (let ((_let_203 (SYMM _let_202))) (let ((_let_204 (SYMM _let_203))) (let ((_let_205 (ASSUME :args (_let_75)))) (let ((_let_206 (SYMM _let_205))) (let ((_let_207 (CONG _let_206 _let_192 :args _let_177))) (let ((_let_208 (ASSUME :args (_let_80)))) (let ((_let_209 (SYMM _let_208))) (let ((_let_210 (SYMM _let_209))) (let ((_let_211 (SYMM _let_197))) (let ((_let_212 (REFL :args (_let_41)))) (let ((_let_213 (REFL :args (tptp.identity)))) (let ((_let_214 (ASSUME :args (_let_95)))) (let ((_let_215 (SYMM _let_214))) (let ((_let_216 (SYMM _let_215))) (let ((_let_217 (SYMM _let_216))) (let ((_let_218 (CONG _let_191 _let_212 :args _let_177))) (let ((_let_219 (ASSUME :args (_let_96)))) (let ((_let_220 (SYMM _let_219))) (let ((_let_221 (SYMM _let_220))) (let ((_let_222 (ASSUME :args (_let_67)))) (let ((_let_223 (SYMM _let_222))) (let ((_let_224 (CONG _let_195 (TRANS _let_179 (SYMM _let_223)) :args _let_177))) (let ((_let_225 (REFL :args (tptp.sk_c8)))) (let ((_let_226 (CONG _let_225 _let_178 :args _let_177))) (let ((_let_227 (TRANS _let_226 _let_224 (SYMM _let_221) _let_218 _let_217))) (let ((_let_228 (SYMM _let_226))) (let ((_let_229 (TRANS _let_228 _let_227))) (let ((_let_230 (CONG _let_227 _let_225 :args _let_177))) (let ((_let_231 (CONG _let_228 _let_225 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args _let_375) :args _let_146)) _let_145 :args (_let_82 false _let_144)))) (let ((_let_379 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_41 tptp.sk_c8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_151)) _let_152 :args (_let_83 false _let_43)))) (let ((_let_380 (not _let_83))) (let ((_let_381 (not _let_82))) (let ((_let_382 (not _let_81))) (let ((_let_383 (and _let_65 _let_88 _let_67 _let_89 _let_87 _let_71 _let_106 _let_94 _let_95 _let_75 _let_76 _let_78 _let_96 _let_98 _let_100 _let_102 _let_80 _let_345 _let_347 _let_81 _let_82 _let_83 _let_348 _let_349 _let_350))) (let ((_let_384 (ASSUME :args (_let_81)))) (let ((_let_385 (SYMM _let_384))) (let ((_let_386 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_387 (ASSUME :args (_let_83)))) (let ((_let_388 (SYMM _let_387))) (let ((_let_389 (ASSUME :args (_let_71)))) (let ((_let_390 (SYMM _let_389))) (let ((_let_391 (ASSUME :args (_let_82)))) (let ((_let_392 (SYMM _let_391))) (let ((_let_393 (CONG _let_189 _let_212 :args _let_177))) (let ((_let_394 (TRANS _let_226 _let_224 _let_220 _let_393 _let_215))) (let ((_let_395 (CONG _let_394 _let_225 :args _let_177))) (let ((_let_396 (CONG _let_225 (SYMM _let_394) :args _let_177))) (let ((_let_397 (SYMM _let_396))) (let ((_let_398 (SYMM _let_395))) (let ((_let_399 (TRANS _let_228 _let_394))) (let ((_let_400 (TRANS _let_203 _let_292 _let_210 (CONG _let_212 (TRANS _let_196 _let_189) :args _let_177) (CONG (SYMM _let_399) _let_213 :args _let_177) (CONG _let_399 (TRANS _let_205 _let_398 _let_249 _let_232 _let_248 _let_397) :args _let_177) _let_239 (SYMM _let_241) _let_215))) (let ((_let_401 (TRANS _let_394 (SYMM _let_400)))) (let ((_let_402 (CONG _let_401 _let_225 :args _let_177))) (let ((_let_403 (ASSUME :args (_let_347)))) (let ((_let_404 (CONG (SYMM _let_403) _let_213 :args _let_177))) (let ((_let_405 (ASSUME :args (_let_350)))) (let ((_let_406 (SYMM _let_405))) (let ((_let_407 (ASSUME :args (_let_349)))) (let ((_let_408 (ASSUME :args (_let_345)))) (let ((_let_409 (ASSUME :args (_let_348)))) (let ((_let_410 (CONG (REFL :args (_let_18)) (TRANS _let_178 (CONG (TRANS _let_205 _let_398 _let_402 (CONG (TRANS _let_400 _let_370) _let_225 :args _let_177) (SYMM (SYMM _let_409)) (CONG _let_368 (TRANS _let_374 _let_214 (SYMM _let_393) _let_219 _let_253 _let_228) :args _let_177) (CONG _let_408 _let_401 :args _let_177) (CONG (SYMM _let_408) _let_192 :args _let_177)) _let_225 :args _let_177) (SYMM (SYMM _let_407)) (CONG _let_368 (TRANS (SYMM _let_402) _let_395 _let_206) :args _let_177)) :args _let_177))) (let ((_let_411 (TRANS (CONG _let_225 (TRANS _let_205 _let_398) :args _let_177) _let_252 (CONG (TRANS _let_234 _let_233 _let_231 _let_395 _let_206) _let_225 :args _let_177) _let_179))) (let ((_let_412 (CONG _let_367 _let_411 :args _let_177))) (let ((_let_413 (CONG (REFL :args (tptp.sk_c3)) (SYMM _let_411) :args _let_177))) (let ((_let_414 (= tptp.sk_c7 _let_24))) (let ((_let_415 (= tptp.sk_c8 _let_30))) (let ((_let_416 (= tptp.sk_c8 _let_13))) (let ((_let_417 (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_61 _let_59 _let_64))))) (let ((_let_418 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args _let_339) :args _let_131)))) (let ((_let_419 (and _let_65 _let_85 _let_71 _let_75 _let_76 _let_78 _let_80 _let_81 _let_82 _let_83))) (let ((_let_420 (ASSUME :args (_let_85)))) (let ((_let_421 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_419)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_420 _let_201 _let_205 _let_208 _let_193 _let_188 _let_391 _let_389 _let_387 _let_384) (SCOPE (FALSE_ELIM (TRANS (CONG _let_225 (CONG (TRANS (SYMM _let_385) (CONG _let_205 _let_386 :args _let_177) (SYMM _let_388) (CONG _let_212 (TRANS (CONG (SYMM _let_390) _let_386 :args _let_177) _let_392) :args _let_177) (CONG _let_212 (TRANS _let_190 (CONG _let_194 _let_192 :args _let_177)) :args _let_177) _let_209 _let_207 _let_202) _let_212 :args _let_177) :args (=)) (FALSE_INTRO _let_420))) :args (_let_85 _let_76 _let_75 _let_80 _let_65 _let_78 _let_82 _let_71 _let_83 _let_81))) :args (_let_65 _let_85 _let_71 _let_75 _let_76 _let_78 _let_80 _let_81 _let_82 _let_83))) :args (true _let_419)) (CONG (REFL :args (_let_84)) (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_67))) (REFL :args (_let_72)) (REFL :args (_let_171)) (REFL :args (_let_170)) (REFL :args (_let_169)) (REFL :args (_let_163)) (REFL :args (_let_382)) (REFL :args (_let_381)) (REFL :args (_let_380)) (REFL :args (_let_69)) :args _let_354)) :args ((or _let_67 _let_84 _let_72 _let_69 _let_171 _let_170 _let_169 _let_163 _let_382 _let_381 _let_380))) _let_379 _let_378 _let_377 _let_158 _let_150 _let_149 _let_147 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_73 1)) (CONG _let_357 (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_68))) :args _let_354)) :args ((or _let_68 _let_73))) _let_358 _let_356 _let_418 _let_417 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_32)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_137 :args ((or _let_415 _let_416) SB_DEFAULT SBA_FIXPOINT)))) :args ((or _let_58 _let_67))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_33)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_137 :args ((or _let_415 _let_60) SB_DEFAULT SBA_FIXPOINT)))) :args ((or _let_60 _let_67))) (MACRO_RESOLUTION_TRUST _let_262 _let_261 _let_341 _let_257 _let_337 _let_334 _let_278 _let_277 _let_276 _let_275 _let_160 _let_159 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_158 _let_157 _let_267 _let_156 _let_155 _let_154 _let_153 _let_150 _let_266 _let_149 _let_147 _let_143 _let_142 _let_264 _let_255 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_150 _let_149 _let_147 _let_143 _let_142 _let_336 _let_153 _let_150 _let_143 _let_142 (REORDERING (EQ_RESOLVE (ASSUME 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_let_349 _let_345 _let_87 _let_348 _let_89 _let_88 _let_100))) :args (_let_65 _let_88 _let_67 _let_89 _let_87 _let_71 _let_106 _let_94 _let_95 _let_75 _let_76 _let_78 _let_96 _let_98 _let_100 _let_102 _let_80 _let_345 _let_347 _let_81 _let_82 _let_83 _let_348 _let_349 _let_350))) :args (true _let_383)) :args ((or _let_84 _let_85 _let_353 _let_352 _let_351 _let_72 _let_283 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_164 _let_163 (not _let_345) (not _let_347) _let_342 _let_382 _let_381 _let_380 (not _let_348) (not _let_349) (not _let_350)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_18 tptp.sk_c2 tptp.identity QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_151)) _let_152 :args (_let_350 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.sk_c2 tptp.sk_c1 tptp.sk_c8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_151)) _let_152 :args (_let_349 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.sk_c2 tptp.sk_c3 tptp.sk_c8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_151)) _let_152 :args (_let_348 false _let_43)) _let_379 _let_378 _let_377 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args _let_376) :args _let_146)) _let_145 :args (_let_347 false _let_144)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args _let_376) :args _let_141)) _let_140 :args (_let_345 false _let_139)) _let_158 _let_157 _let_155 _let_154 _let_153 _let_150 _let_149 _let_147 _let_143 _let_142 _let_264 (REORDERING (CNF_OR_POS :args (_let_344)) :args ((or _let_72 _let_343 (not _let_344)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_260 :args _let_375) :args _let_258)) _let_262 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_340 :args (tptp.sk_c2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_338)) (REORDERING (CNF_OR_POS :args (_let_363)) :args ((or _let_362 _let_361 (not _let_363)))) (RESOLUTION (CNF_AND_NEG :args (_let_371)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_366 _let_373) (SCOPE (TRANS (SYMM _let_374) (CONG _let_367 _let_225 :args _let_177)) :args _let_372)) :args _let_372)) :args (true _let_371)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_364)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_366 _let_369) (SCOPE (TRANS _let_370 (CONG _let_368 _let_367 :args _let_177)) :args _let_365)) :args _let_365)) :args (true _let_364)) :args ((or _let_353 _let_352 _let_359))) :args ((or _let_353 _let_352 _let_351 (not _let_53)) true _let_363 false _let_360 false _let_359)) _let_135 _let_358 _let_356 _let_133 _let_130 :args ((or _let_84 _let_85 _let_353 _let_352 _let_351) false _let_350 false _let_349 false _let_348 false _let_83 false _let_82 false _let_81 false _let_347 false _let_345 false _let_80 false _let_102 false _let_100 false _let_98 false _let_96 false _let_78 false _let_76 false _let_75 false _let_95 false _let_94 false _let_106 true _let_342 false _let_344 false _let_56 true _let_53 true _let_55 false _let_71 true _let_73 true _let_54 true _let_86)) (MACRO_RESOLUTION_TRUST _let_262 _let_261 _let_341 _let_257 _let_337 _let_334 _let_278 _let_277 _let_276 _let_275 _let_160 _let_159 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_158 _let_157 _let_267 _let_156 _let_155 _let_154 _let_153 _let_150 _let_266 _let_149 _let_147 _let_143 _let_142 _let_264 _let_255 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_150 _let_149 _let_147 _let_143 _let_142 _let_336 _let_153 _let_150 _let_143 _let_142 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_92 _let_88))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_91 _let_88))) (EQ_RESOLVE (ASSUME :args (_let_22)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_137 :args ((or _let_88 _let_138) SB_DEFAULT SBA_FIXPOINT)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_60 _let_88))) _let_135 _let_133 _let_130 :args ((or _let_88 _let_84 _let_85) true _let_56 true _let_53 true _let_129 true _let_126 false _let_123 false _let_122 false _let_121 false _let_120 false _let_118 false _let_104 false _let_103 false _let_117 false _let_116 false _let_115 false _let_114 false _let_113 false _let_111 false _let_110 false _let_80 false _let_102 false _let_109 false _let_101 false _let_100 false _let_98 false _let_96 false _let_78 false _let_107 false _let_76 false _let_75 false _let_95 false _let_94 false _let_106 false _let_105 false _let_104 false _let_103 false _let_80 false _let_102 false _let_101 false _let_100 false _let_98 false _let_96 false _let_78 false _let_76 false _let_75 false _let_95 false _let_94 false _let_97 false _let_96 false _let_78 false _let_95 false _let_94 false _let_92 false _let_91 false _let_90 false _let_60 true _let_55 true _let_54 true _let_86)) (MACRO_RESOLUTION_TRUST _let_341 _let_337 _let_336 _let_153 _let_150 _let_143 _let_142 _let_334 _let_278 _let_277 _let_276 _let_275 _let_160 _let_159 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_158 _let_157 _let_267 _let_156 _let_155 _let_154 _let_153 _let_150 _let_266 _let_149 _let_147 _let_143 _let_142 _let_264 _let_262 _let_261 _let_257 _let_255 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155 _let_154 _let_153 _let_150 _let_149 _let_147 _let_143 _let_142 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_137 :args ((or _let_136 _let_92) SB_DEFAULT SBA_FIXPOINT)))) :args ((or _let_92 _let_87))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_9)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_137 :args ((or _let_136 _let_91) SB_DEFAULT SBA_FIXPOINT)))) :args ((or _let_91 _let_87))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_12)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_137 :args ((or _let_136 _let_138) SB_DEFAULT SBA_FIXPOINT)))) :args ((or _let_90 _let_87))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_137 :args ((or _let_136 _let_60) SB_DEFAULT SBA_FIXPOINT)))) :args ((or _let_60 _let_87))) _let_135 _let_133 _let_130 :args ((or _let_87 _let_84 _let_85) true _let_126 false _let_97 false _let_96 false _let_78 false _let_95 false _let_94 false _let_123 false _let_122 false _let_121 false _let_120 false _let_118 false _let_104 false _let_103 false _let_117 false _let_116 false _let_115 false _let_114 false _let_113 false _let_111 false _let_110 false _let_80 false _let_102 false _let_109 false _let_101 false _let_100 false _let_98 false _let_96 false _let_78 false _let_107 false _let_76 false _let_75 false _let_95 false _let_94 false _let_106 false _let_53 true _let_56 true _let_129 false _let_105 false _let_104 false _let_103 false _let_80 false _let_102 false _let_101 false _let_100 false _let_98 false _let_96 false _let_78 false _let_76 false _let_75 false _let_95 false _let_94 false _let_92 false _let_91 false _let_90 false _let_60 true _let_55 true _let_54 true _let_86)) _let_135 _let_133 _let_130 :args (_let_86 true _let_56 true _let_53 true _let_129 true _let_126 false _let_123 false _let_122 false _let_121 false _let_120 false _let_118 false _let_104 false _let_103 false _let_117 false _let_116 false _let_115 false _let_114 false _let_113 false _let_111 false _let_110 false _let_80 false _let_102 false _let_109 false _let_101 false _let_100 false _let_98 false _let_96 false _let_78 false _let_107 false _let_76 false _let_75 false _let_95 false _let_94 false _let_106 false _let_105 false _let_104 false _let_103 false _let_80 false _let_102 false _let_101 false _let_100 false _let_98 false _let_96 false _let_78 false _let_76 false _let_75 false _let_95 false _let_94 false _let_97 false _let_96 false _let_78 false _let_95 false _let_94 false _let_92 false _let_91 false _let_90 false _let_60 true _let_89 false _let_88 false _let_87 true _let_55 true _let_54 true _let_86)) :args (_let_84 false _let_83 false _let_82 false _let_81 false _let_80 false _let_78 false _let_76 false _let_75 false _let_68 false _let_71 true _let_73 true _let_54 true _let_62 false _let_58 false _let_60 true _let_67)))) (let ((_let_422 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_39)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_39 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_137 :args ((or _let_65 _let_416) SB_DEFAULT SBA_FIXPOINT)))) _let_421 :args (_let_58 true _let_65)))) (let ((_let_423 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))) _let_421 :args (_let_60 true _let_65)))) (let ((_let_424 (MACRO_RESOLUTION_TRUST _let_418 (MACRO_RESOLUTION_TRUST _let_417 _let_423 _let_422 :args (_let_64 false _let_60 false _let_58)) :args (_let_63 true _let_62)))) (let ((_let_425 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))) _let_421 :args (_let_91 true _let_65)))) (let ((_let_426 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_38)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_137 :args ((or _let_65 _let_138) SB_DEFAULT SBA_FIXPOINT)))) _let_421 :args (_let_90 true _let_65)))) (let ((_let_427 (and _let_91 _let_90 _let_94))) (let ((_let_428 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))) _let_421 :args (_let_92 true _let_65)))) (let ((_let_429 (= (tptp.multiply _let_112 tptp.sk_c8) (tptp.multiply _let_2 _let_7)))) (let ((_let_430 (tptp.multiply _let_46 tptp.identity))) (let ((_let_431 (= (tptp.multiply _let_430 tptp.sk_c8) (tptp.multiply _let_46 _let_93)))) (let ((_let_432 (= tptp.identity _let_430))) (let ((_let_433 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_2 tptp.sk_c5 tptp.sk_c8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_151)) _let_152 :args (_let_429 false _let_43)))) (let ((_let_434 (not _let_429))) (let ((_let_435 (and _let_91 _let_92 _let_90 _let_432 _let_94 _let_113 _let_431 _let_429))) (let ((_let_436 (ASSUME :args (_let_431)))) (let ((_let_437 (ASSUME :args (_let_432)))) (let ((_let_438 (CONG _let_308 _let_225 :args _let_177))) (let ((_let_439 (ASSUME :args (_let_429)))) (let ((_let_440 (SYMM _let_439))) (let ((_let_441 (CONG (SYMM _let_305) _let_183 :args _let_177))) (let ((_let_442 (tptp.multiply tptp.sk_c4 tptp.identity))) (let ((_let_443 (= (tptp.multiply _let_108 tptp.identity) (tptp.multiply _let_15 _let_442)))) (let ((_let_444 (= (tptp.multiply (tptp.multiply _let_2 tptp.sk_c8) tptp.sk_c8) (tptp.multiply _let_2 _let_99)))) (let ((_let_445 (= (tptp.multiply _let_57 tptp.sk_c8) (tptp.multiply tptp.sk_c4 _let_74)))) (let ((_let_446 (= (tptp.multiply _let_99 _let_15) (tptp.multiply tptp.sk_c8 (tptp.multiply tptp.sk_c8 _let_15))))) (let ((_let_447 (= (tptp.multiply _let_442 tptp.sk_c8) (tptp.multiply tptp.sk_c4 _let_93)))) (let ((_let_448 (= _let_46 _let_49))) (let ((_let_449 (and _let_60 _let_91 _let_92 _let_58 _let_90 _let_106 _let_94 _let_75 _let_107 _let_98 _let_100 _let_109 _let_110 _let_113 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_429))) (let ((_let_450 (ASSUME :args (_let_448)))) (let ((_let_451 (APPLY_UF tptp.inverse))) (let ((_let_452 (CONG _let_322 _let_213 :args _let_177))) (let ((_let_453 (ASSUME :args (_let_443)))) (let ((_let_454 (SYMM _let_453))) (let ((_let_455 (ASSUME :args (_let_445)))) (let ((_let_456 (ASSUME :args (_let_58)))) (let ((_let_457 (SYMM (SYMM _let_456)))) (let ((_let_458 (TRANS _let_226 (CONG _let_457 _let_179 :args _let_177) (SYMM (SYMM _let_455)) (CONG _let_316 _let_206 :args _let_177)))) (let ((_let_459 (CONG _let_287 _let_458 :args _let_177))) (let ((_let_460 (CONG _let_225 (TRANS (CONG _let_179 _let_178 :args _let_177) _let_228) :args _let_177))) (let ((_let_461 (SYMM _let_233))) (let ((_let_462 (CONG _let_226 _let_225 :args _let_177))) (let ((_let_463 (CONG (SYMM _let_458) _let_225 :args _let_177))) (let ((_let_464 (ASSUME :args (_let_447)))) (let ((_let_465 (SYMM _let_464))) (let ((_let_466 (CONG _let_316 _let_178 :args _let_177))) (let ((_let_467 (SYMM _let_462))) (let ((_let_468 (SYMM _let_460))) (let ((_let_469 (REFL :args (_let_99)))) (let ((_let_470 (ASSUME :args (_let_446)))) (let ((_let_471 (TRANS (SYMM _let_470) (CONG _let_469 _let_286 :args _let_177) _let_462 _let_461 _let_460))) (let ((_let_472 (CONG (TRANS _let_471 (TRANS _let_468 _let_233 _let_467 (SYMM _let_463) _let_464 (SYMM _let_466)) (TRANS _let_466 _let_465 _let_463 _let_462 _let_461 _let_460 _let_459 _let_454 _let_452 _let_333)) _let_225 :args _let_177))) (let ((_let_473 (CONG (SYMM _let_471) _let_225 :args _let_177))) (let ((_let_474 (CONG _let_305 _let_469 :args _let_177))) (let ((_let_475 (ASSUME :args (_let_444)))) (let ((_let_476 (SYMM _let_475))) (let ((_let_477 (CONG _let_225 (TRANS (SYMM _let_476) _let_474 _let_468 _let_233 _let_467) :args _let_177))) (let ((_let_478 (CONG _let_225 (TRANS _let_332 (SYMM _let_452) _let_453 (SYMM _let_459) (SYMM _let_474) _let_476) :args _let_177))) (let ((_let_479 (CONG _let_320 _let_213 :args _let_177))) (let ((_let_480 (CONG _let_319 _let_213 :args _let_177))) (let ((_let_481 (CONG (TRANS _let_480 _let_479 _let_478 _let_477 _let_252 _let_473 _let_472 _let_179) :args _let_451))) (let ((_let_482 (CONG (TRANS _let_246 _let_441 _let_440 _let_438 (SYMM _let_472) (SYMM _let_473) _let_251 (SYMM _let_477) (SYMM _let_478) (SYMM _let_479) (SYMM _let_480)) :args _let_451))) (let ((_let_483 (CONG (CONG _let_286 :args _let_451) :args _let_451))) (let ((_let_484 (SYMM _let_481))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_48 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_449)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_450 _let_332 _let_321 _let_453 _let_285 _let_205 _let_455 _let_456 _let_178 _let_232 _let_464 _let_314 _let_307 _let_439 _let_304 _let_181 _let_244 _let_470 _let_251 _let_475 _let_319) (SCOPE (TRANS _let_484 (CONG (TRANS _let_480 _let_479 _let_478 _let_477 _let_252 _let_473 _let_472 (SYMM _let_438) _let_439 (SYMM _let_441) _let_245 _let_484 (SYMM _let_482) (SYMM _let_483)) :args _let_451) (CONG (TRANS _let_483 _let_482 _let_481 _let_246 _let_441 _let_440 _let_438 _let_179 _let_457 (CONG _let_314 (TRANS _let_246 _let_441 _let_440 _let_438 _let_179) :args _let_177) (CONG _let_315 _let_225 :args _let_177) _let_466 _let_465 _let_463 _let_462 _let_461 _let_460 _let_459 _let_454 _let_452 _let_333) :args _let_451) (SYMM (SYMM _let_450))) :args (_let_448 _let_106 _let_109 _let_443 _let_60 _let_75 _let_445 _let_58 _let_94 _let_98 _let_447 _let_107 _let_113 _let_429 _let_92 _let_91 _let_90 _let_446 _let_100 _let_444 _let_110))) :args (_let_60 _let_91 _let_92 _let_58 _let_90 _let_106 _let_94 _let_75 _let_107 _let_98 _let_100 _let_109 _let_110 _let_113 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_429))) :args (true _let_449)) :args ((or _let_61 _let_59 _let_175 _let_174 _let_127 _let_283 _let_173 _let_171 _let_282 _let_167 _let_166 _let_281 _let_280 _let_279 (not _let_448) (not _let_447) (not _let_446) (not _let_445) (not _let_444) _let_50 (not _let_443) _let_434))) _let_423 _let_422 _let_426 _let_425 _let_428 _let_264 _let_142 _let_147 _let_266 _let_154 _let_155 _let_267 _let_268 _let_270 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args (_let_46 QUANTIFIERS_INST_ENUM)) :args _let_141)) _let_140 :args (_let_448 false _let_139)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.sk_c4 tptp.identity tptp.sk_c8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_151)) _let_152 :args (_let_447 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.sk_c8 tptp.sk_c8 _let_15 QUANTIFIERS_INST_ENUM)) :args _let_151)) _let_152 :args (_let_446 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.sk_c4 _let_41 tptp.sk_c8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_151)) _let_152 :args (_let_445 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_2 tptp.sk_c8 tptp.sk_c8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_151)) _let_152 :args (_let_444 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_15 tptp.sk_c4 tptp.identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_151)) _let_152 :args (_let_443 false _let_43)) _let_433 :args (_let_50 false _let_60 false _let_58 false _let_90 false _let_91 false _let_92 false _let_106 false _let_94 false _let_75 false _let_107 false _let_98 false _let_100 false _let_109 false _let_110 false _let_113 false _let_448 false _let_447 false _let_446 false _let_445 false _let_444 false _let_443 false _let_429)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_435)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_178 _let_436 _let_437 _let_307 _let_439 _let_304 _let_181 _let_244) (SCOPE (TRANS _let_246 _let_441 _let_440 _let_438 (CONG (SYMM (SYMM _let_437)) _let_225 :args _let_177) (SYMM (SYMM _let_436)) (CONG (REFL :args (_let_46)) _let_179 :args _let_177)) :args (_let_94 _let_431 _let_432 _let_113 _let_429 _let_92 _let_91 _let_90))) :args (_let_91 _let_92 _let_90 _let_432 _let_94 _let_113 _let_431 _let_429))) :args (true _let_435)) :args ((or _let_175 _let_174 _let_127 (not _let_432) _let_173 _let_279 (not _let_431) _let_47 _let_434))) _let_426 _let_425 _let_428 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args _let_263) :args _let_146)) _let_145 :args (_let_432 false _let_144)) _let_142 _let_270 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_46 tptp.identity tptp.sk_c8 QUANTIFIERS_INST_CBQI_PROP)) :args _let_151)) _let_152 :args (_let_431 false _let_43)) _let_433 :args (_let_47 false _let_90 false _let_91 false _let_92 false _let_432 false _let_94 false _let_113 false _let_431 false _let_429)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_340 :args (tptp.identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_338)) (MACRO_RESOLUTION_TRUST _let_262 (MACRO_RESOLUTION_TRUST _let_261 (MACRO_RESOLUTION_TRUST _let_257 _let_428 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_427)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_178 _let_181 _let_244) (SCOPE (TRANS _let_246 (CONG _let_178 _let_183 :args _let_177) _let_180) :args (_let_94 _let_91 _let_90))) :args (_let_91 _let_90 _let_94))) :args (true _let_427)) :args ((or _let_175 _let_174 _let_173 _let_105))) _let_426 _let_425 _let_142 :args (_let_105 false _let_90 false _let_91 false _let_94)) :args (_let_256 false _let_92 false _let_105)) :args ((not _let_56) true _let_129)) (MACRO_RESOLUTION_TRUST _let_135 _let_424 :args (_let_134 true _let_54)) _let_424 :args (_let_53 true _let_56 true _let_55 true _let_54)) :args (_let_52 false _let_53)) :args (false false _let_50 false _let_47 false _let_52)) :args (_let_45 _let_44 _let_43 _let_42 _let_40 _let_39 _let_38 _let_37 _let_36 _let_33 _let_32 (or _let_31 _let_11) (or _let_31 _let_8) (or _let_31 _let_3) _let_29 (or _let_25 _let_14) _let_28 _let_27 _let_26 _let_23 (or _let_19 _let_14) _let_22 _let_21 _let_20 _let_17 (or _let_5 _let_14) _let_12 _let_9 _let_6 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.33/12.55  )
% 12.33/12.55  % SZS output end Proof for GRP236-1
% 12.33/12.56  % cvc5---1.0.5 exiting
% 12.41/12.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------