%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HWV052-1.002.002 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 02:08:11 EDT 2023

% Result   : Unsatisfiable 0.20s 0.62s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : HWV052-1.002.002 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 16:33:52 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.s4YwR0a9vQ/cvc5---1.0.5_9331.p...
% 0.20/0.50  ------- get file name : TPTP file name is HWV052-1.002.002
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9331.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.62  % SZS status Unsatisfiable for HWV052-1.002.002
% 0.20/0.62  % SZS output start Proof for HWV052-1.002.002
% 0.20/0.64  (
% 0.20/0.64  (let ((_let_1 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (tptp.unpack2 X1 X2 (tptp.pack1 X1 X2) (tptp.inv (tptp.pack2 X1 X2))) X2)))) (let ((_let_2 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (tptp.unpack2 X1 X2 (tptp.inv (tptp.pack1 X1 X2)) (tptp.pack2 X1 X2)) X2)))) (let ((_let_3 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (tptp.unpack2 X1 (tptp.inv X2) (tptp.pack1 X1 X2) (tptp.pack2 X1 X2)) X2)))) (let ((_let_4 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (tptp.unpack2 X1 X2 (tptp.pack1 X1 X2) (tptp.pack2 X1 X2)) X2)))) (let ((_let_5 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (tptp.unpack1 X1 X2 (tptp.pack1 X1 X2) (tptp.inv (tptp.pack2 X1 X2))) X1)))) (let ((_let_6 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (tptp.unpack1 X1 X2 (tptp.inv (tptp.pack1 X1 X2)) (tptp.pack2 X1 X2)) X1)))) (let ((_let_7 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (tptp.unpack1 X1 (tptp.inv X2) (tptp.pack1 X1 X2) (tptp.pack2 X1 X2)) X1)))) (let ((_let_8 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (tptp.unpack1 (tptp.inv X1) X2 (tptp.pack1 X1 X2) (tptp.pack2 X1 X2)) X1)))) (let ((_let_9 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (tptp.unpack1 X1 X2 (tptp.pack1 X1 X2) (tptp.pack2 X1 X2)) X1)))) (let ((_let_10 (forall ((X $$unsorted)) (not (= (tptp.inv X) X))))) (let ((_let_11 (forall ((X $$unsorted)) (or (= X tptp.o) (= X tptp.i))))) (let ((_let_12 (tptp.inv e_$$unsorted_4))) (let ((_let_13 (= e_$$unsorted_4 _let_12))) (let ((_let_14 (tptp.pack2 e_$$unsorted_4 e_$$unsorted_4))) (let ((_let_15 (tptp.pack1 e_$$unsorted_4 e_$$unsorted_4))) (let ((_let_16 (= e_$$unsorted_4 (tptp.unpack2 e_$$unsorted_4 _let_12 _let_15 _let_14)))) (let ((_let_17 (tptp.pack2 e_$$unsorted_4 _let_12))) (let ((_let_18 (tptp.inv _let_17))) (let ((_let_19 (tptp.pack1 e_$$unsorted_4 _let_12))) (let ((_let_20 (= _let_12 (tptp.unpack2 e_$$unsorted_4 _let_12 _let_19 _let_18)))) (let ((_let_21 (= tptp.i _let_14))) (let ((_let_22 (= tptp.i _let_15))) (let ((_let_23 (= tptp.i _let_19))) (let ((_let_24 (= tptp.i _let_18))) (let ((_let_25 (forall ((X $$unsorted)) (not (= X (tptp.inv X)))))) (let ((_let_26 (not _let_13))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_25))) (let ((_let_29 (e_$$unsorted_4 QUANTIFIERS_INST_ENUM))) (let ((_let_30 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args _let_29) :args _let_28)))) (let ((_let_31 (MACRO_RESOLUTION_TRUST _let_30 _let_27 :args (_let_26 false _let_25)))) (let ((_let_32 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= X2 (tptp.unpack2 X1 (tptp.inv X2) (tptp.pack1 X1 X2) (tptp.pack2 X1 X2)))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (e_$$unsorted_4 e_$$unsorted_4 QUANTIFIERS_INST_ENUM))) (let ((_let_35 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args _let_34) :args (_let_32))))) (let ((_let_36 (MACRO_RESOLUTION_TRUST _let_35 _let_33 :args (_let_16 false _let_32)))) (let ((_let_37 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= X2 (tptp.unpack2 X1 X2 (tptp.pack1 X1 X2) (tptp.inv (tptp.pack2 X1 X2))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (e_$$unsorted_4 _let_12 QUANTIFIERS_INST_ENUM))) (let ((_let_40 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_39) :args (_let_37))))) (let ((_let_41 (MACRO_RESOLUTION_TRUST _let_40 _let_38 :args (_let_20 false _let_37)))) (let ((_let_42 (= tptp.o _let_14))) (let ((_let_43 (or _let_42 _let_21))) (let ((_let_44 (forall ((X $$unsorted)) (or (= tptp.o X) (= tptp.i X))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_44))) (let ((_let_47 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_14 QUANTIFIERS_INST_ENUM)) :args _let_46)))) (let ((_let_48 (= tptp.o _let_19))) (let ((_let_49 (or _let_48 _let_23))) (let ((_let_50 (= tptp.o _let_15))) (let ((_let_51 (= tptp.o _let_18))) (let ((_let_52 (or _let_51 _let_24))) (let ((_let_53 (= _let_17 _let_18))) (let ((_let_54 (= tptp.i _let_17))) (let ((_let_55 (= tptp.o _let_17))) (let ((_let_56 (or _let_55 _let_54))) (let ((_let_57 (= _let_12 (tptp.unpack2 e_$$unsorted_4 _let_12 _let_19 _let_17)))) (let ((_let_58 (not _let_42))) (let ((_let_59 (tptp.inv _let_19))) (let ((_let_60 (= _let_19 _let_59))) (let ((_let_61 (= tptp.i _let_59))) (let ((_let_62 (= tptp.o _let_59))) (let ((_let_63 (or _let_62 _let_61))) (let ((_let_64 (or _let_50 _let_22))) (let ((_let_65 (not _let_23))) (let ((_let_66 (not _let_60))) (let ((_let_67 ((tptp.inv X)))) (let ((_let_68 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_28)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST _let_68 _let_27 :args (_let_66 false _let_25)))) (let ((_let_70 (or))) (let ((_let_71 (not _let_61))) (let ((_let_72 (_let_65))) (let ((_let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_60))))) (let ((_let_74 (and _let_66 _let_23))) (let ((_let_75 (_let_66 _let_23))) (let ((_let_76 (ASSUME :args (_let_66)))) (let ((_let_77 (FALSE_INTRO _let_76))) (let ((_let_78 (=))) (let ((_let_79 (REFL :args (_let_59)))) (let ((_let_80 (ASSUME :args (_let_23)))) (let ((_let_81 (SYMM _let_80))) (let ((_let_82 (SYMM _let_81))) (let ((_let_83 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_74)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_76 _let_80) (SCOPE (FALSE_ELIM (TRANS (CONG _let_82 _let_79 :args _let_78) _let_77)) :args _let_75)) :args _let_75)) :args (true _let_74)) (CONG _let_73 (REFL :args _let_72) (REFL :args (_let_71)) :args _let_70)))) (let ((_let_84 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_59 QUANTIFIERS_INST_ENUM)) :args _let_46)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST _let_84 _let_45 :args (_let_63 false _let_44)))) (let ((_let_86 (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_62 _let_61 (not _let_63)))))) (let ((_let_87 (= _let_12 (tptp.unpack2 e_$$unsorted_4 _let_12 _let_59 _let_17)))) (let ((_let_88 (= tptp.o e_$$unsorted_4))) (let ((_let_89 (= tptp.o _let_12))) (let ((_let_90 (= tptp.i e_$$unsorted_4))) (let ((_let_91 (or _let_88 _let_90))) (let ((_let_92 (= tptp.i _let_12))) (let ((_let_93 (or _let_89 _let_92))) (let ((_let_94 (not _let_50))) (let ((_let_95 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= X2 (tptp.unpack2 X1 X2 (tptp.inv (tptp.pack1 X1 X2)) (tptp.pack2 X1 X2)))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args _let_39) :args (_let_95))))) (let ((_let_98 (MACRO_RESOLUTION_TRUST _let_97 _let_96 :args (_let_87 false _let_95)))) (let ((_let_99 (not _let_62))) (let ((_let_100 (not _let_55))) (let ((_let_101 (not _let_87))) (let ((_let_102 (not _let_16))) (let ((_let_103 (and _let_16 _let_87 _let_42 _let_50 _let_55 _let_62))) (let ((_let_104 (ASSUME :args (_let_87)))) (let ((_let_105 (SYMM _let_104))) (let ((_let_106 (APPLY_UF tptp.unpack2))) (let ((_let_107 (ASSUME :args (_let_55)))) (let ((_let_108 (SYMM _let_107))) (let ((_let_109 (SYMM _let_108))) (let ((_let_110 (ASSUME :args (_let_42)))) (let ((_let_111 (SYMM _let_110))) (let ((_let_112 (TRANS _let_111 _let_109))) (let ((_let_113 (ASSUME :args (_let_62)))) (let ((_let_114 (SYMM _let_113))) (let ((_let_115 (SYMM _let_114))) (let ((_let_116 (ASSUME :args (_let_50)))) (let ((_let_117 (SYMM _let_116))) (let ((_let_118 (REFL :args (_let_12)))) (let ((_let_119 (REFL :args (e_$$unsorted_4)))) (let ((_let_120 (ASSUME :args (_let_16)))) (let ((_let_121 (SYMM (SYMM _let_120)))) (let ((_let_122 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_17 QUANTIFIERS_INST_ENUM)) :args _let_46)))) (let ((_let_123 (MACRO_RESOLUTION_TRUST _let_122 _let_45 :args (_let_56 false _let_44)))) (let ((_let_124 (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_55 _let_54 (not _let_56)))))) (let ((_let_125 (tptp.pack2 _let_12 e_$$unsorted_4))) (let ((_let_126 (= tptp.i _let_125))) (let ((_let_127 (= tptp.o _let_125))) (let ((_let_128 (or _let_127 _let_126))) (let ((_let_129 (= e_$$unsorted_4 (tptp.unpack1 _let_12 e_$$unsorted_4 _let_15 _let_14)))) (let ((_let_130 (tptp.pack1 _let_12 e_$$unsorted_4))) (let ((_let_131 (= _let_12 (tptp.unpack1 _let_12 e_$$unsorted_4 _let_130 _let_125)))) (let ((_let_132 (= tptp.o _let_130))) (let ((_let_133 (= tptp.i _let_130))) (let ((_let_134 (or _let_132 _let_133))) (let ((_let_135 (tptp.inv _let_15))) (let ((_let_136 (= e_$$unsorted_4 (tptp.unpack1 e_$$unsorted_4 e_$$unsorted_4 _let_135 _let_14)))) (let ((_let_137 (tptp.inv _let_12))) (let ((_let_138 (= _let_12 _let_137))) (let ((_let_139 (= _let_12 (tptp.unpack1 _let_137 e_$$unsorted_4 _let_130 _let_125)))) (let ((_let_140 (not _let_54))) (let ((_let_141 (not _let_88))) (let ((_let_142 (not _let_89))) (let ((_let_143 (and _let_88 _let_89))) (let ((_let_144 (ASSUME :args (_let_89)))) (let ((_let_145 (SYMM _let_144))) (let ((_let_146 (SYMM _let_145))) (let ((_let_147 (ASSUME :args (_let_88)))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_143)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_144 _let_147) (SCOPE (TRANS _let_148 _let_146) :args (_let_89 _let_88))) :args (_let_88 _let_89))) :args (true _let_143)) :args ((or _let_13 _let_141 _let_142))))) (let ((_let_150 (_let_12 QUANTIFIERS_INST_ENUM))) (let ((_let_151 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args _let_150) :args _let_46)))) (let ((_let_152 (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_89 _let_92 (not _let_93)))))) (let ((_let_153 (not _let_53))) (let ((_let_154 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_28)))) (let ((_let_155 (MACRO_RESOLUTION_TRUST _let_154 _let_27 :args (_let_153 false _let_25)))) (let ((_let_156 (not _let_24))) (let ((_let_157 (MACRO_SR_PRED_INTRO :args ((= (not _let_153) _let_53))))) (let ((_let_158 (and _let_153 _let_54))) (let ((_let_159 (_let_153 _let_54))) (let ((_let_160 (ASSUME :args (_let_153)))) (let ((_let_161 (FALSE_INTRO _let_160))) (let ((_let_162 (REFL :args (_let_18)))) (let ((_let_163 (ASSUME :args (_let_54)))) (let ((_let_164 (SYMM _let_163))) (let ((_let_165 (SYMM _let_164))) (let ((_let_166 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_158)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_160 _let_163) (SCOPE (FALSE_ELIM (TRANS (CONG _let_165 _let_162 :args _let_78) _let_161)) :args _let_159)) :args _let_159)) :args (true _let_158)) (CONG _let_157 (REFL :args (_let_140)) (REFL :args (_let_156)) :args _let_70)))) (let ((_let_167 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_18 QUANTIFIERS_INST_ENUM)) :args _let_46)))) (let ((_let_168 (MACRO_RESOLUTION_TRUST _let_167 _let_45 :args (_let_52 false _let_44)))) (let ((_let_169 (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_24 (not _let_52)))))) (let ((_let_170 (= _let_12 (tptp.unpack1 _let_12 e_$$unsorted_4 _let_130 (tptp.inv _let_125))))) (let ((_let_171 (= e_$$unsorted_4 (tptp.unpack1 e_$$unsorted_4 _let_137 _let_19 _let_17)))) (let ((_let_172 (not _let_126))) (let ((_let_173 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= X1 (tptp.unpack1 (tptp.inv X1) X2 (tptp.pack1 X1 X2) (tptp.pack2 X1 X2)))))) (let ((_let_174 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_175 (_let_173))) (let ((_let_176 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args _let_34) :args _let_175)) _let_174 :args (_let_129 false _let_173)))) (let ((_let_177 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args _let_150) :args _let_28)) _let_27 :args ((not _let_138) false _let_25)))) (let ((_let_178 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= X1 (tptp.unpack1 X1 X2 (tptp.pack1 X1 X2) (tptp.inv (tptp.pack2 X1 X2))))))) (let ((_let_179 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_180 (_let_178))) (let ((_let_181 (_let_12 e_$$unsorted_4 QUANTIFIERS_INST_ENUM))) (let ((_let_182 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args _let_181) :args _let_180)) _let_179 :args (_let_170 false _let_178)))) (let ((_let_183 (not _let_51))) (let ((_let_184 (not _let_132))) (let ((_let_185 (not _let_170))) (let ((_let_186 (not _let_92))) (let ((_let_187 (not _let_129))) (let ((_let_188 (and _let_88 _let_129 _let_92 _let_170 _let_42 _let_50 _let_54 _let_126 _let_132 _let_51))) (let ((_let_189 (APPLY_UF tptp.inv))) (let ((_let_190 (ASSUME :args (_let_92)))) (let ((_let_191 (SYMM _let_190))) (let ((_let_192 (SYMM _let_191))) (let ((_let_193 (TRANS _let_164 _let_192))) (let ((_let_194 (CONG _let_193 :args _let_189))) (let ((_let_195 (ASSUME :args (_let_51)))) (let ((_let_196 (SYMM _let_195))) (let ((_let_197 (SYMM _let_196))) (let ((_let_198 (ASSUME :args (_let_129)))) (let ((_let_199 (SYMM _let_198))) (let ((_let_200 (APPLY_UF tptp.unpack1))) (let ((_let_201 (SYMM _let_111))) (let ((_let_202 (SYMM _let_194))) (let ((_let_203 (ASSUME :args (_let_126)))) (let ((_let_204 (SYMM _let_203))) (let ((_let_205 (SYMM _let_117))) (let ((_let_206 (ASSUME :args (_let_132)))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (ASSUME :args (_let_170)))) (let ((_let_209 (SYMM _let_208))) (let ((_let_210 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (_let_130 QUANTIFIERS_INST_ENUM)) :args _let_46)) _let_45 :args (_let_134 false _let_44)))) (let ((_let_211 (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_132 _let_133 (not _let_134)))))) (let ((_let_212 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= X1 (tptp.unpack1 X1 (tptp.inv X2) (tptp.pack1 X1 X2) (tptp.pack2 X1 X2)))))) (let ((_let_213 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let 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_let_184))) _let_215 _let_250 _let_211 _let_210 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_405)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_345 _let_190 _let_237 _let_223 _let_147 _let_110 _let_367 _let_239 _let_409) (SCOPE (TRANS _let_406 _let_410 (CONG _let_118 _let_407 (TRANS (SYMM _let_408) (TRANS _let_408 (CONG _let_119 _let_407 :args _let_220)) _let_395) (TRANS (CONG _let_119 _let_407 :args _let_302) _let_111 _let_241) :args _let_200) _let_238 _let_191 _let_385) :args (_let_22 _let_92 _let_131 _let_133 _let_88 _let_42 _let_48 _let_127 _let_389))) :args (_let_88 _let_92 _let_131 _let_42 _let_389 _let_22 _let_48 _let_127 _let_133))) :args (true _let_405)) :args ((or _let_141 _let_186 _let_235 _let_58 _let_50 _let_404 _let_283 _let_363 _let_234 _let_216))) _let_403 _let_233 _let_230 _let_229 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_392)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_345 _let_190 _let_226 _let_397 _let_147 _let_223 _let_203 _let_377 _let_367 _let_110 _let_400) (SCOPE (TRANS _let_147 _let_401 (CONG _let_399 _let_119 _let_395 _let_394 :args _let_200) _let_227 _let_191 _let_385) :args (_let_22 _let_92 _let_139 _let_261 _let_88 _let_133 _let_126 _let_61 _let_48 _let_42 _let_362))) :args (_let_88 _let_362 _let_92 _let_139 _let_42 _let_22 _let_261 _let_48 _let_126 _let_133 _let_61))) :args (true _let_392)) :args ((or _let_141 _let_391 _let_186 _let_217 _let_58 _let_50 _let_283 _let_271 _let_363 _let_172 _let_216 _let_71))) _let_215 _let_390 _let_86 _let_84 _let_370 _let_68 _let_282 _let_281 _let_386 _let_270 _let_357 _let_355 _let_354 _let_340 _let_338 _let_328 _let_326 _let_45 _let_337 _let_30 _let_27 :args ((or _let_186 _let_58 _let_50 _let_216) false _let_389 false _let_131 false _let_127 false _let_128 true _let_126 false _let_139 false _let_362 false _let_61 false _let_63 true _let_62 true _let_60 false _let_261 false _let_263 true _let_262 true _let_260 false _let_48 false _let_49 true _let_23 false _let_22 false _let_64 false _let_88 false _let_91 false _let_44 true _let_90 true _let_13 false _let_25)) _let_328 _let_327 _let_337 _let_31 _let_282 _let_281 _let_386 _let_270 _let_124 _let_122 _let_381 _let_30 _let_35 _let_33 _let_97 _let_96 _let_86 _let_84 _let_370 _let_68 _let_27 _let_357 _let_355 _let_354 _let_340 _let_338 _let_45 :args ((or _let_186 _let_58 _let_50) false _let_382 false _let_139 false _let_126 false _let_128 true _let_127 false _let_139 false _let_136 false _let_132 false _let_134 true _let_133 false _let_88 false _let_91 true _let_90 true _let_13 false _let_261 false _let_263 true _let_262 true _let_260 false _let_54 false _let_56 true _let_55 true _let_13 false _let_16 false _let_32 false _let_87 false _let_95 false _let_61 false _let_63 true _let_62 true _let_60 false _let_25 false _let_48 false _let_49 true _let_23 false _let_22 false _let_64 false _let_44)) _let_124 _let_123 _let_381 _let_98 _let_36 _let_31 _let_340 _let_339 _let_375 _let_86 _let_84 _let_370 _let_68 _let_27 _let_357 _let_355 _let_45 _let_354 :args ((or _let_58 _let_50) false _let_139 false _let_362 false _let_126 false _let_128 true _let_127 false _let_360 false _let_131 false _let_133 false _let_134 true _let_132 false _let_90 false _let_91 true _let_88 true _let_13 false _let_89 false _let_93 true _let_92 false _let_54 false _let_56 true _let_55 false _let_87 false _let_16 true _let_13 false _let_22 false _let_64 true _let_21 false _let_61 false _let_63 true _let_62 true _let_60 false _let_25 false _let_48 false _let_49 false _let_44 true _let_23)) _let_357 _let_356 _let_354 :args (_let_58 false _let_57 false _let_16 true _let_13 false _let_55 false _let_56 true _let_54 true _let_53 false _let_24 false _let_52 true _let_51 false _let_20 false _let_16 true _let_13 false _let_50 false _let_48 false _let_49 true _let_23)))) (let ((_let_447 (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_21 (not _let_43)))))) (let ((_let_448 (MACRO_RESOLUTION_TRUST _let_447 _let_446 (MACRO_RESOLUTION_TRUST _let_47 _let_45 :args (_let_43 false _let_44)) :args (_let_21 true _let_42 false _let_43)))) (let ((_let_449 (= e_$$unsorted_4 (tptp.unpack1 e_$$unsorted_4 _let_19 (tptp.inv (tptp.pack1 e_$$unsorted_4 _let_19)) (tptp.pack2 e_$$unsorted_4 _let_19))))) (let ((_let_450 (and _let_16 _let_20 _let_21 _let_50 _let_262 _let_55 _let_48))) (let ((_let_451 (ASSUME :args (_let_21)))) (let ((_let_452 (SYMM _let_451))) (let ((_let_453 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_450)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_343 _let_367 _let_116 _let_107 _let_310 _let_451 _let_120) (SCOPE (TRANS _let_121 (CONG _let_119 _let_118 _let_444 (TRANS _let_452 _let_313 (CONG (TRANS _let_117 _let_109) :args _let_189)) :args _let_106) _let_344) :args (_let_20 _let_48 _let_50 _let_55 _let_262 _let_21 _let_16))) :args (_let_16 _let_20 _let_21 _let_50 _let_262 _let_55 _let_48))) :args (true _let_450)) :args ((or _let_13 _let_102 _let_341 _let_371 _let_94 _let_298 _let_100 _let_363))))) (let ((_let_454 (= _let_12 (tptp.unpack1 _let_12 _let_12 _let_130 _let_125)))) (let ((_let_455 (= _let_15 (tptp.unpack1 _let_135 _let_130 (tptp.pack1 _let_15 _let_130) (tptp.pack2 _let_15 _let_130))))) (let ((_let_456 (= e_$$unsorted_4 (tptp.unpack1 e_$$unsorted_4 _let_17 (tptp.inv _let_359) _let_358)))) (let ((_let_457 (and _let_88 _let_139 _let_21 _let_50 _let_262 _let_55 _let_23 _let_126 _let_133 _let_456 _let_62))) (let ((_let_458 (SYMM _let_452))) (let ((_let_459 (SYMM _let_255))) (let ((_let_460 (CONG _let_119 _let_459 :args _let_302))) (let ((_let_461 (TRANS _let_108 _let_205))) (let ((_let_462 (CONG _let_119 _let_461 :args _let_302))) (let ((_let_463 (TRANS _let_462 _let_460 _let_452 _let_318))) (let ((_let_464 (TRANS _let_311 _let_306))) (let ((_let_465 (CONG _let_119 _let_459 :args _let_220))) (let ((_let_466 (CONG _let_119 _let_461 :args _let_220))) (let ((_let_467 (CONG (SYMM _let_466) :args _let_189))) (let ((_let_468 (TRANS _let_461 _let_459))) (let ((_let_469 (SYMM _let_256))) (let ((_let_470 (ASSUME :args (_let_456)))) (let ((_let_471 (and _let_88 _let_131 _let_21 _let_50 _let_262 _let_55 _let_126 _let_132 _let_360))) (let ((_let_472 (TRANS (TRANS _let_466 _let_465) _let_244))) (let ((_let_473 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_213 :args _let_181) :args _let_214)) _let_213 :args (_let_454 false _let_212)))) (let ((_let_474 (not _let_454))) (let ((_let_475 (and _let_88 _let_92 _let_454 _let_50 _let_55 _let_23 _let_127 _let_455 _let_133))) (let ((_let_476 (ASSUME :args (_let_454)))) (let ((_let_477 (SYMM _let_476))) (let ((_let_478 (TRANS _let_224 _let_192))) (let ((_let_479 (TRANS _let_117 _let_406))) (let ((_let_480 (ASSUME :args (_let_455)))) (let ((_let_481 (and _let_88 _let_170 _let_21 _let_50 _let_262 _let_55 _let_127 _let_132 _let_360))) (let ((_let_482 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_481)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_451 _let_310 _let_116 _let_147 _let_208 _let_206 _let_107 _let_239 _let_440) (SCOPE (TRANS _let_147 _let_441 (CONG _let_118 _let_468 _let_472 (TRANS _let_462 _let_460 _let_452 _let_310 _let_469 (CONG (TRANS _let_148 _let_241) :args _let_189)) :args _let_200) _let_209 _let_256 _let_311 _let_458) :args (_let_21 _let_262 _let_50 _let_88 _let_170 _let_132 _let_55 _let_127 _let_360))) :args (_let_88 _let_170 _let_21 _let_50 _let_262 _let_55 _let_127 _let_132 _let_360))) :args (true _let_481)) :args ((or _let_141 _let_42 _let_185 _let_371 _let_94 _let_298 _let_100 _let_234 _let_184 _let_436))) _let_448 _let_446 _let_435 _let_182 _let_211 _let_210 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_475)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_476 _let_147 _let_116 _let_190 _let_223 _let_80 _let_239 _let_107 _let_480) (SCOPE (TRANS _let_116 (SYMM (SYMM _let_480)) (CONG (CONG _let_479 :args _let_189) _let_478 (TRANS (CONG _let_479 _let_478 :args _let_220) _let_81 _let_223) (TRANS (CONG _let_479 _let_478 :args _let_302) _let_108 _let_241) :args _let_200) _let_477) :args (_let_454 _let_88 _let_50 _let_92 _let_133 _let_23 _let_127 _let_55 _let_455))) :args (_let_88 _let_92 _let_454 _let_50 _let_55 _let_23 _let_127 _let_455 _let_133))) :args (true _let_475)) :args ((or _let_141 _let_89 _let_186 _let_474 _let_94 _let_100 _let_65 _let_234 (not _let_455) _let_216))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_15 _let_130 QUANTIFIERS_INST_ENUM)) :args _let_175)) _let_174 :args (_let_455 false _let_173)) _let_473 _let_230 _let_229 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_471)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_451 _let_310 _let_116 _let_147 _let_237 _let_206 _let_107 _let_203 _let_440) (SCOPE (TRANS _let_147 _let_441 (CONG _let_118 _let_468 _let_472 _let_463 :args _let_200) _let_238 _let_256 _let_311 _let_458) :args (_let_21 _let_262 _let_50 _let_88 _let_131 _let_132 _let_55 _let_126 _let_360))) :args (_let_88 _let_131 _let_21 _let_50 _let_262 _let_55 _let_126 _let_132 _let_360))) :args (true _let_471)) :args ((or _let_141 _let_42 _let_235 _let_371 _let_94 _let_298 _let_100 _let_172 _let_184 _let_436))) _let_448 _let_446 _let_435 _let_233 _let_211 _let_210 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_457)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_451 _let_310 _let_116 _let_147 _let_226 _let_80 _let_113 _let_223 _let_107 _let_203 _let_470) (SCOPE (TRANS _let_147 (SYMM (SYMM _let_470)) (CONG (TRANS _let_148 _let_115 (CONG (TRANS _let_81 _let_458) :args _let_189) (CONG (TRANS _let_452 _let_310 _let_469) :args _let_189)) _let_468 (TRANS (SYMM _let_467) (TRANS _let_467 (CONG (TRANS _let_466 _let_465 _let_117 _let_147) :args _let_189) _let_256) _let_464) _let_463 :args _let_200) _let_227 _let_256 _let_311 _let_458) :args (_let_21 _let_262 _let_50 _let_88 _let_139 _let_23 _let_62 _let_133 _let_55 _let_126 _let_456))) :args (_let_88 _let_139 _let_21 _let_50 _let_262 _let_55 _let_23 _let_126 _let_133 _let_456 _let_62))) :args (true _let_457)) :args ((or _let_141 _let_42 _let_217 _let_371 _let_94 _let_298 _let_100 _let_65 _let_172 _let_216 (not _let_456) _let_99))) _let_448 _let_446 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_248 :args _let_414) :args _let_249)) _let_248 :args (_let_456 false _let_247)) _let_215 _let_86 _let_84 _let_83 _let_68 _let_357 _let_355 _let_453 _let_30 _let_35 _let_33 _let_40 _let_38 _let_447 _let_47 _let_446 _let_282 _let_281 _let_45 _let_280 _let_270 _let_27 :args ((or _let_141 _let_94 _let_100 _let_172) false _let_21 true _let_42 false _let_360 false _let_131 false _let_132 false _let_134 true _let_133 false _let_21 true _let_42 false _let_456 false _let_139 false _let_62 false _let_63 true _let_61 true _let_60 false _let_23 false _let_49 true _let_48 true _let_13 false _let_16 false _let_32 false _let_20 false _let_37 false _let_21 false _let_43 true _let_42 false _let_262 false _let_263 false _let_44 true _let_261 true _let_260 false _let_25)) _let_152 _let_335 _let_149 _let_31 _let_357 _let_355 _let_453 _let_30 _let_35 _let_33 _let_40 _let_38 _let_447 _let_47 _let_446 _let_282 _let_281 _let_45 _let_280 _let_270 _let_27 :args ((or _let_141 _let_94 _let_100) false _let_21 true _let_42 false _let_360 false _let_170 false _let_132 false _let_134 true _let_133 false _let_455 false _let_454 false _let_127 false _let_128 true _let_126 false _let_92 false _let_93 true _let_89 true _let_13 false _let_23 false _let_49 true _let_48 true _let_13 false _let_16 false _let_32 false _let_20 false _let_37 false _let_21 false _let_43 true _let_42 false _let_262 false _let_263 false _let_44 true _let_261 true _let_260 false _let_25)))) (let ((_let_483 (and _let_90 _let_21 _let_389 _let_50 _let_262 _let_268 _let_23 _let_127 _let_132 _let_62))) (let ((_let_484 (TRANS _let_452 _let_82))) (let ((_let_485 (CONG _let_484 :args _let_189))) (let ((_let_486 (TRANS _let_292 _let_451))) (let ((_let_487 (CONG _let_486 :args _let_189))) (let ((_let_488 (TRANS _let_487 _let_485 _let_114 _let_205))) (let ((_let_489 (SYMM _let_486))) (let ((_let_490 (CONG _let_119 _let_489 :args _let_302))) (let ((_let_491 (SYMM _let_484))) (let ((_let_492 (CONG _let_119 _let_491 :args _let_220))) (let ((_let_493 (TRANS _let_492 (CONG _let_119 _let_489 :args _let_220)))) (let ((_let_494 (SYMM _let_492))) (let ((_let_495 (and _let_90 _let_139 _let_21 _let_50 _let_262 _let_55 _let_23 _let_127 _let_133 _let_382 _let_62))) (let ((_let_496 (TRANS _let_117 _let_113 (SYMM _let_485) (SYMM _let_487)))) (let ((_let_497 (TRANS _let_292 _let_310 (CONG _let_496 :args _let_189)))) (let ((_let_498 (and _let_90 _let_139 _let_21 _let_50 _let_262 _let_23 _let_126 _let_133 _let_449 _let_62))) (let ((_let_499 (CONG _let_494 :args _let_189))) (let ((_let_500 (ASSUME :args (_let_449)))) (let ((_let_501 (and _let_90 _let_131 _let_21 _let_389 _let_50 _let_23 _let_126 _let_132 _let_62))) (let ((_let_502 (and _let_16 _let_87 _let_21 _let_50 _let_54 _let_23 _let_51))) (let ((_let_503 (TRANS _let_452 _let_165))) (let ((_let_504 (and _let_16 _let_57 _let_21 _let_50 _let_54 _let_48))) (let ((_let_505 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_504)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_351 _let_367 _let_116 _let_163 _let_451 _let_120) (SCOPE (TRANS _let_121 (CONG _let_119 _let_118 _let_444 _let_503 :args _let_106) _let_352) :args (_let_57 _let_48 _let_50 _let_54 _let_21 _let_16))) :args (_let_16 _let_57 _let_21 _let_50 _let_54 _let_48))) :args (true _let_504)) :args ((or _let_13 _let_102 _let_349 _let_371 _let_94 _let_140 _let_363))) _let_448 _let_348 _let_36 _let_31 _let_357 _let_356 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_502)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_104 _let_80 _let_451 _let_163 _let_195 _let_116 _let_120) (SCOPE (TRANS _let_121 (CONG _let_119 _let_118 (TRANS _let_117 _let_197 (CONG (SYMM _let_503) :args _let_189) _let_485) _let_503 :args _let_106) _let_105) :args (_let_87 _let_23 _let_21 _let_54 _let_51 _let_50 _let_16))) :args (_let_16 _let_87 _let_21 _let_50 _let_54 _let_23 _let_51))) :args (true _let_502)) :args ((or _let_13 _let_102 _let_101 _let_371 _let_94 _let_140 _let_65 _let_183))) _let_448 _let_98 _let_36 _let_31 _let_169 _let_168 _let_166 _let_155 _let_124 _let_123 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_501)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_116 _let_113 _let_80 _let_451 _let_291 _let_237 _let_206 _let_203 _let_409) (SCOPE (TRANS _let_291 _let_410 (CONG _let_118 _let_489 (TRANS _let_494 _let_493 _let_244) (TRANS _let_490 _let_452 _let_318) :args _let_200) _let_238 _let_487 _let_485 _let_114 _let_205) :args (_let_50 _let_62 _let_23 _let_21 _let_90 _let_131 _let_132 _let_126 _let_389))) :args (_let_90 _let_131 _let_21 _let_389 _let_50 _let_23 _let_126 _let_132 _let_62))) :args (true _let_501)) :args ((or _let_269 _let_235 _let_371 _let_22 _let_404 _let_94 _let_65 _let_172 _let_184 _let_99))) _let_448 _let_403 _let_233 _let_211 _let_210 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_498)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_116 _let_113 _let_80 _let_451 _let_291 _let_226 _let_310 _let_223 _let_203 _let_500) (SCOPE (TRANS _let_291 (SYMM (SYMM _let_500)) (CONG _let_497 (TRANS _let_491 _let_489) (TRANS (SYMM _let_499) (TRANS _let_499 (CONG _let_493 :args _let_189)) _let_464) (TRANS (CONG _let_119 _let_491 :args _let_302) _let_490 _let_452 _let_318) :args _let_200) _let_227 _let_487 _let_485 _let_114 _let_205) :args (_let_50 _let_62 _let_23 _let_21 _let_90 _let_139 _let_262 _let_133 _let_126 _let_449))) :args (_let_90 _let_139 _let_21 _let_50 _let_262 _let_23 _let_126 _let_133 _let_449 _let_62))) :args (true _let_498)) :args ((or _let_269 _let_217 _let_371 _let_22 _let_94 _let_298 _let_65 _let_172 _let_216 (not _let_449) _let_99))) _let_448 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_248 :args (e_$$unsorted_4 _let_19 QUANTIFIERS_INST_ENUM)) :args _let_249)) _let_248 :args (_let_449 false _let_247)) _let_215 _let_230 _let_229 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_495)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_116 _let_113 _let_80 _let_451 _let_291 _let_226 _let_310 _let_223 _let_107 _let_239 _let_419) (SCOPE (TRANS _let_291 _let_420 (CONG _let_497 (TRANS (TRANS (CONG _let_461 :args _let_189) _let_311 _let_451) _let_489) (TRANS (TRANS _let_466 (CONG _let_119 _let_496 :args _let_220) _let_81 _let_310) _let_464) (TRANS _let_462 (CONG _let_119 _let_496 :args _let_302) _let_108 _let_241) :args _let_200) _let_227 _let_487 _let_485 _let_114 _let_205) :args (_let_50 _let_62 _let_23 _let_21 _let_90 _let_139 _let_262 _let_133 _let_55 _let_127 _let_382))) :args (_let_90 _let_139 _let_21 _let_50 _let_262 _let_55 _let_23 _let_127 _let_133 _let_382 _let_62))) :args (true _let_495)) :args ((or _let_269 _let_217 _let_371 _let_22 _let_94 _let_298 _let_100 _let_65 _let_234 _let_216 _let_416 _let_99))) _let_448 _let_415 _let_215 _let_211 _let_210 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_483)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_323 _let_116 _let_113 _let_80 _let_451 _let_291 _let_206 _let_239 _let_310 _let_409) (SCOPE (TRANS _let_291 _let_410 (CONG _let_488 _let_489 (TRANS _let_494 _let_493 _let_244 (CONG _let_488 _let_119 :args _let_220)) (TRANS _let_490 _let_452 _let_313 (CONG (TRANS _let_117 _let_241) :args _let_189) (CONG (CONG _let_488 _let_119 :args _let_302) :args _let_189)) :args _let_200) _let_324) :args (_let_268 _let_50 _let_62 _let_23 _let_21 _let_90 _let_132 _let_127 _let_262 _let_389))) :args (_let_90 _let_21 _let_389 _let_50 _let_262 _let_268 _let_23 _let_127 _let_132 _let_62))) :args (true _let_483)) :args ((or _let_269 _let_371 _let_22 _let_404 _let_94 _let_298 _let_321 _let_65 _let_234 _let_184 _let_99))) _let_448 _let_320 _let_403 _let_386 _let_86 _let_84 _let_83 _let_68 _let_357 _let_355 _let_453 _let_30 _let_35 _let_33 _let_40 _let_38 _let_447 _let_47 _let_446 _let_282 _let_281 _let_280 _let_270 _let_27 _let_328 _let_326 _let_45 _let_482 :args ((or _let_94 _let_100 _let_234) false _let_21 false _let_382 false _let_139 false _let_133 false _let_134 true _let_132 false _let_21 false _let_268 false _let_389 true _let_22 false _let_62 false _let_63 true _let_61 true _let_60 false _let_23 false _let_49 true _let_48 true _let_13 false _let_16 false _let_32 false _let_20 false _let_37 false _let_21 false _let_43 true _let_42 false _let_262 false _let_263 true _let_261 true _let_260 false _let_25 false _let_90 false _let_91 false _let_44 true _let_88)) _let_328 _let_327 _let_482 _let_86 _let_85 _let_83 _let_69 _let_357 _let_356 _let_453 _let_448 _let_41 _let_36 _let_31 _let_386 _let_282 _let_281 _let_45 _let_280 _let_270 _let_27 :args ((or _let_94 _let_100) false _let_21 false _let_389 false _let_131 false _let_132 false _let_134 true _let_133 false _let_21 false _let_449 false _let_139 false _let_126 false _let_128 true _let_127 false _let_90 false _let_91 true _let_88 false _let_62 false _let_63 true _let_61 true _let_60 false _let_23 false _let_49 true _let_48 false _let_21 false _let_20 false _let_16 true _let_13 true _let_22 false _let_262 false _let_263 false _let_44 true _let_261 true _let_260 false _let_25)) :args (_let_94 false _let_21 false _let_57 false _let_16 true _let_13 false _let_48 false _let_49 true _let_23 false _let_21 false _let_87 false _let_16 true _let_13 false _let_51 false _let_52 true _let_24 true _let_53 false _let_54 false _let_56 true _let_55)))) (let ((_let_506 (MACRO_RESOLUTION_TRUST _let_340 _let_505 _let_339 :args (_let_22 true _let_50 false _let_64)))) (let ((_let_507 (= _let_12 (tptp.unpack1 _let_12 e_$$unsorted_4 (tptp.inv _let_130) _let_125)))) (let ((_let_508 (= e_$$unsorted_4 (tptp.unpack1 _let_12 _let_12 _let_19 _let_17)))) (let ((_let_509 (and _let_16 _let_87 _let_21 _let_22 _let_54 _let_61))) (let ((_let_510 (and _let_129 _let_507 _let_21 _let_22 _let_48 _let_126 _let_132 _let_61))) (let ((_let_511 (ASSUME :args (_let_507)))) (let ((_let_512 (TRANS _let_452 _let_318))) (let ((_let_513 (TRANS _let_368 _let_243))) (let ((_let_514 (and _let_508 _let_454 _let_55 _let_48 _let_127 _let_132))) (let ((_let_515 (ASSUME :args (_let_508)))) (let ((_let_516 (and _let_129 _let_170 _let_21 _let_22 _let_48 _let_127 _let_133 _let_61))) (let ((_let_517 (and _let_129 _let_131 _let_21 _let_22 _let_126 _let_133))) (let ((_let_518 (MACRO_RESOLUTION_TRUST _let_357 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_517)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_237 _let_223 _let_345 _let_203 _let_451 _let_198) (SCOPE (TRANS _let_245 (CONG _let_118 _let_119 _let_395 _let_512 :args _let_200) _let_238) :args (_let_131 _let_133 _let_22 _let_126 _let_21 _let_129))) :args (_let_129 _let_131 _let_21 _let_22 _let_126 _let_133))) :args (true _let_517)) :args ((or _let_13 _let_187 _let_235 _let_371 _let_283 _let_172 _let_216))) _let_506 _let_448 _let_233 _let_176 _let_31 _let_230 _let_229 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_516)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_208 _let_223 _let_345 _let_239 _let_367 _let_377 _let_451 _let_198) (SCOPE (TRANS _let_245 (CONG _let_118 _let_119 _let_395 (TRANS _let_452 _let_379 (CONG (TRANS _let_368 _let_241) :args _let_189)) :args _let_200) _let_209) :args (_let_170 _let_133 _let_22 _let_127 _let_48 _let_61 _let_21 _let_129))) :args (_let_129 _let_170 _let_21 _let_22 _let_48 _let_127 _let_133 _let_61))) :args (true _let_516)) :args ((or _let_13 _let_187 _let_185 _let_371 _let_283 _let_363 _let_234 _let_216 _let_71))) _let_506 _let_448 _let_182 _let_176 _let_31 _let_211 _let_210 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_514)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_476 _let_206 _let_367 _let_239 _let_107 _let_515) (SCOPE (TRANS (SYMM (SYMM _let_515)) (CONG _let_118 _let_118 _let_513 (TRANS _let_108 _let_241) :args _let_200) _let_477) :args (_let_454 _let_132 _let_48 _let_127 _let_55 _let_508))) :args (_let_508 _let_454 _let_55 _let_48 _let_127 _let_132))) :args (true _let_514)) :args ((or _let_13 (not _let_508) _let_474 _let_100 _let_363 _let_234 _let_184))) _let_473 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args _let_39) :args _let_175)) _let_174 :args (_let_508 false _let_173)) _let_31 _let_230 _let_229 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_510)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_511 _let_206 _let_367 _let_377 _let_345 _let_203 _let_451 _let_198) (SCOPE (TRANS _let_245 (CONG _let_118 _let_119 (TRANS _let_346 _let_379 (CONG _let_513 :args _let_189)) _let_512 :args _let_200) (SYMM _let_511)) :args (_let_507 _let_132 _let_48 _let_61 _let_22 _let_126 _let_21 _let_129))) :args (_let_129 _let_507 _let_21 _let_22 _let_48 _let_126 _let_132 _let_61))) :args (true _let_510)) :args ((or _let_13 _let_187 (not _let_507) _let_371 _let_283 _let_363 _let_172 _let_184 _let_71))) _let_506 _let_448 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_248 :args _let_181) :args _let_249)) _let_248 :args (_let_507 false _let_247)) _let_176 _let_31 _let_124 _let_122 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_509)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_104 _let_377 _let_345 _let_163 _let_451 _let_120) (SCOPE (TRANS _let_121 (CONG _let_119 _let_118 _let_380 _let_503 :args _let_106) _let_105) :args (_let_87 _let_61 _let_22 _let_54 _let_21 _let_16))) :args (_let_16 _let_87 _let_21 _let_22 _let_54 _let_61))) :args (true _let_509)) :args ((or _let_13 _let_102 _let_101 _let_371 _let_283 _let_140 _let_71))) _let_30 _let_35 _let_33 _let_97 _let_96 _let_447 _let_47 _let_446 _let_340 _let_338 _let_505 _let_86 _let_84 _let_45 _let_370 _let_68 _let_27 :args ((or _let_363 _let_184) false _let_454 false _let_508 true _let_13 false _let_127 false _let_128 true _let_126 false _let_22 false _let_21 false _let_507 false _let_129 true _let_13 false _let_55 false _let_56 true _let_54 true _let_13 false _let_16 false _let_32 false _let_87 false _let_95 false _let_21 false _let_43 true _let_42 false _let_22 false _let_64 true _let_50 false _let_61 false _let_63 false _let_44 true _let_62 true _let_60 false _let_25)) _let_86 _let_85 _let_370 _let_69 :args (_let_363 false _let_22 false _let_21 false _let_131 false _let_129 true _let_13 false _let_126 false _let_128 true _let_127 false _let_22 false _let_21 false _let_170 false _let_129 true _let_13 false _let_133 false _let_134 true _let_132 false _let_61 false _let_63 true _let_62 true _let_60)) _let_356 :args (_let_23 true _let_48 false _let_49)))) (let ((_let_519 (and _let_16 _let_57 _let_21 _let_22 _let_54 _let_23))) (let ((_let_520 (and _let_153 _let_55))) (let ((_let_521 (_let_153 _let_55))) (let ((_let_522 (and _let_16 _let_20 _let_21 _let_22 _let_23 _let_24))) (let ((_let_523 (ASSUME :args (_let_24)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_522)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_343 _let_80 _let_345 _let_523 _let_451 _let_120) (SCOPE (TRANS _let_121 (CONG _let_119 _let_118 _let_353 (TRANS _let_452 (SYMM (SYMM _let_523))) :args _let_106) _let_344) :args (_let_20 _let_23 _let_22 _let_24 _let_21 _let_16))) :args (_let_16 _let_20 _let_21 _let_22 _let_23 _let_24))) :args (true _let_522)) :args ((or _let_13 _let_102 _let_341 _let_371 _let_283 _let_65 _let_156))) (MACRO_RESOLUTION_TRUST _let_169 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_520)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_160 _let_107) (SCOPE (FALSE_ELIM (TRANS (CONG _let_109 _let_162 :args _let_78) _let_161)) :args _let_521)) :args _let_521)) :args (true _let_520)) (CONG _let_157 (REFL :args (_let_100)) (REFL :args (_let_183)) :args _let_70)) _let_155 (MACRO_RESOLUTION_TRUST _let_124 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_519)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_351 _let_80 _let_345 _let_163 _let_451 _let_120) (SCOPE (TRANS _let_121 (CONG _let_119 _let_118 _let_353 _let_503 :args _let_106) _let_352) :args (_let_57 _let_23 _let_22 _let_54 _let_21 _let_16))) :args (_let_16 _let_57 _let_21 _let_22 _let_54 _let_23))) :args (true _let_519)) :args ((or _let_13 _let_102 _let_349 _let_371 _let_283 _let_140 _let_65))) _let_31 _let_36 _let_348 _let_448 _let_506 _let_518 :args (_let_140 true _let_13 false _let_16 false _let_57 false _let_21 false _let_22 false _let_23)) _let_123 :args (_let_55 true _let_54 false _let_56)) :args (_let_183 true _let_53 false _let_55)) _let_168 :args (_let_24 true _let_51 false _let_52)) _let_518 _let_506 _let_448 _let_41 _let_36 _let_31 :args (false false _let_24 false _let_23 false _let_22 false _let_21 false _let_20 false _let_16 true _let_13)) :args (_let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 (forall ((X1 $$unsorted) (X2 $$unsorted)) (= (tptp.unpack2 (tptp.inv X1) X2 (tptp.pack1 X1 X2) (tptp.pack2 X1 X2)) X2)) _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.65  )
% 0.20/0.65  % SZS output end Proof for HWV052-1.002.002
% 0.20/0.65  % cvc5---1.0.5 exiting
% 0.20/0.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------