TSTP Solution File: LCL109-3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL109-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 07:00:44 EDT 2023
% Result : Unsatisfiable 10.19s 10.38s
% Output : Proof 10.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL109-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 02:19:02 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.kDsU9gdVfy/cvc5---1.0.5_15796.p...
% 0.20/0.50 ------- get file name : TPTP file name is LCL109-3
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15796.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.19/10.38 % SZS status Unsatisfiable for LCL109-3
% 10.19/10.38 % SZS output start Proof for LCL109-3
% 10.19/10.40 (
% 10.19/10.40 (let ((_let_1 (tptp.implies tptp.b tptp.a))) (let ((_let_2 (tptp.implies tptp.a tptp.b))) (let ((_let_3 (tptp.implies _let_2 _let_1))) (let ((_let_4 (tptp.implies _let_3 _let_1))) (let ((_let_5 (not (= _let_4 tptp.truth)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies X (tptp.implies Y Z)) (tptp.implies Y (tptp.implies X Z)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Z X) (tptp.implies Z Y))) tptp.truth)))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.implies X Y) (tptp.implies Y Z))) (= (tptp.implies X Z) tptp.truth))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies X (tptp.implies Y X)) tptp.truth)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.implies X Y) (tptp.implies Y X))) (= X Y))))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.implies X X) tptp.truth)))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies X Y) Y) (tptp.implies (tptp.implies Y X) X))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))) tptp.truth)))) (let ((_let_15 (forall ((X $$unsorted)) (= (tptp.implies tptp.truth X) X)))) (let ((_let_16 (tptp.implies _let_1 _let_2))) (let ((_let_17 (tptp.implies _let_16 _let_2))) (let ((_let_18 (= _let_4 _let_17))) (let ((_let_19 (tptp.implies tptp.b _let_2))) (let ((_let_20 (= tptp.truth _let_19))) (let ((_let_21 (tptp.implies tptp.a _let_1))) (let ((_let_22 (= tptp.truth _let_21))) (let ((_let_23 (tptp.implies _let_1 _let_3))) (let ((_let_24 (= tptp.truth _let_23))) (let ((_let_25 (= _let_3 (tptp.implies tptp.b (tptp.implies _let_2 tptp.a))))) (let ((_let_26 (tptp.implies _let_3 tptp.a))) (let ((_let_27 (tptp.implies tptp.b _let_26))) (let ((_let_28 (= _let_4 _let_27))) (let ((_let_29 (tptp.implies tptp.a tptp.a))) (let ((_let_30 (= tptp.truth _let_29))) (let ((_let_31 (= tptp.truth (tptp.implies _let_1 _let_21)))) (let ((_let_32 (= tptp.truth (tptp.implies _let_2 _let_19)))) (let ((_let_33 (tptp.implies _let_2 _let_16))) (let ((_let_34 (= tptp.truth _let_33))) (let ((_let_35 (= tptp.truth (tptp.implies tptp.a _let_26)))) (let ((_let_36 (tptp.implies _let_2 _let_17))) (let ((_let_37 (= tptp.truth _let_36))) (let ((_let_38 (= _let_16 (tptp.implies tptp.a (tptp.implies _let_1 tptp.b))))) (let ((_let_39 (tptp.implies _let_16 tptp.b))) (let ((_let_40 (tptp.implies tptp.a _let_39))) (let ((_let_41 (= _let_17 _let_40))) (let ((_let_42 (tptp.implies _let_2 tptp.b))) (let ((_let_43 (tptp.implies _let_1 tptp.a))) (let ((_let_44 (= _let_43 _let_42))) (let ((_let_45 (tptp.implies _let_4 _let_1))) (let ((_let_46 (= _let_45 (tptp.implies _let_23 _let_3)))) (let ((_let_47 (tptp.implies tptp.a _let_43))) (let ((_let_48 (= tptp.truth _let_47))) (let ((_let_49 (= tptp.truth (tptp.implies _let_1 _let_45)))) (let ((_let_50 (tptp.implies _let_26 tptp.b))) (let ((_let_51 (tptp.implies tptp.b _let_50))) (let ((_let_52 (= tptp.truth _let_51))) (let ((_let_53 (tptp.implies tptp.a _let_3))) (let ((_let_54 (= _let_53 (tptp.implies _let_2 _let_21)))) (let ((_let_55 (tptp.implies _let_4 tptp.a))) (let ((_let_56 (= _let_45 (tptp.implies tptp.b _let_55)))) (let ((_let_57 (= tptp.truth (tptp.implies tptp.b _let_17)))) (let ((_let_58 (tptp.implies tptp.truth tptp.b))) (let ((_let_59 (= tptp.b _let_58))) (let ((_let_60 (= _let_1 (tptp.implies tptp.truth _let_1)))) (let ((_let_61 (= _let_2 (tptp.implies tptp.truth _let_2)))) (let ((_let_62 (= _let_3 (tptp.implies tptp.truth _let_3)))) (let ((_let_63 (= _let_4 (tptp.implies tptp.truth _let_4)))) (let ((_let_64 (tptp.implies _let_4 tptp.b))) (let ((_let_65 (tptp.implies _let_64 tptp.b))) (let ((_let_66 (tptp.implies tptp.b _let_4))) (let ((_let_67 (= (tptp.implies _let_66 _let_4) _let_65))) (let ((_let_68 (tptp.implies _let_26 tptp.a))) (let ((_let_69 (= _let_68 (tptp.implies _let_53 _let_3)))) (let ((_let_70 (tptp.implies _let_50 tptp.b))) (let ((_let_71 (tptp.implies _let_27 _let_26))) (let ((_let_72 (= _let_71 _let_70))) (let ((_let_73 (= (tptp.implies _let_19 _let_2) (tptp.implies _let_42 tptp.b)))) (let ((_let_74 (tptp.implies _let_17 _let_2))) (let ((_let_75 (= _let_74 (tptp.implies _let_33 _let_16)))) (let ((_let_76 (tptp.implies _let_43 tptp.a))) (let ((_let_77 (= (tptp.implies _let_21 _let_1) _let_76))) (let ((_let_78 (= tptp.truth (tptp.implies _let_55 (tptp.implies _let_66 _let_1))))) (let ((_let_79 (tptp.implies _let_27 tptp.a))) (let ((_let_80 (= _let_71 (tptp.implies _let_3 _let_79)))) (let ((_let_81 (tptp.implies tptp.b _let_16))) (let ((_let_82 (= _let_81 (tptp.implies _let_1 _let_19)))) (let ((_let_83 (= _let_16 (tptp.implies tptp.truth _let_16)))) (let ((_let_84 (= _let_26 (tptp.implies tptp.truth _let_26)))) (let ((_let_85 (= (tptp.implies _let_76 tptp.a) (tptp.implies _let_47 _let_43)))) (let ((_let_86 (tptp.implies _let_1 _let_55))) (let ((_let_87 (tptp.implies _let_86 _let_55))) (let ((_let_88 (= (tptp.implies (tptp.implies _let_55 _let_1) _let_1) _let_87))) (let ((_let_89 (= (tptp.implies (tptp.implies tptp.b _let_79) _let_79) (tptp.implies (tptp.implies _let_79 tptp.b) tptp.b)))) (let ((_let_90 (tptp.implies _let_39 tptp.b))) (let ((_let_91 (= _let_90 (tptp.implies _let_81 _let_16)))) (let ((_let_92 (tptp.implies tptp.a _let_2))) (let ((_let_93 (tptp.implies _let_92 tptp.b))) (let ((_let_94 (tptp.implies tptp.b _let_93))) (let ((_let_95 (= tptp.truth _let_94))) (let ((_let_96 (tptp.implies _let_43 _let_26))) (let ((_let_97 (= _let_96 (tptp.implies _let_3 _let_76)))) (let ((_let_98 (tptp.implies _let_29 _let_39))) (let ((_let_99 (tptp.implies _let_29 tptp.b))) (let ((_let_100 (= (tptp.implies _let_16 _let_99) _let_98))) (let ((_let_101 (tptp.implies _let_64 _let_42))) (let ((_let_102 (= (tptp.implies _let_2 _let_65) _let_101))) (let ((_let_103 (= (tptp.implies _let_26 _let_99) (tptp.implies _let_29 _let_50)))) (let ((_let_104 (tptp.implies _let_29 _let_93))) (let ((_let_105 (= (tptp.implies _let_92 _let_99) _let_104))) (let ((_let_106 (tptp.implies _let_26 _let_39))) (let ((_let_107 (= _let_106 (tptp.implies _let_16 _let_50)))) (let ((_let_108 (= (tptp.implies _let_40 _let_39) (tptp.implies _let_16 (tptp.implies _let_40 tptp.b))))) (let ((_let_109 (tptp.not tptp.truth))) (let ((_let_110 (tptp.not tptp.b))) (let ((_let_111 (tptp.implies _let_110 _let_109))) (let ((_let_112 (= _let_58 _let_111))) (let ((_let_113 (= tptp.truth (tptp.implies _let_98 (tptp.implies _let_90 _let_99))))) (let ((_let_114 (tptp.implies _let_26 _let_43))) (let ((_let_115 (= (tptp.implies _let_96 _let_26) (tptp.implies _let_114 _let_43)))) (let ((_let_116 (= (tptp.implies _let_101 _let_42) (tptp.implies (tptp.implies _let_42 _let_64) _let_64)))) (let ((_let_117 (tptp.implies _let_39 _let_26))) (let ((_let_118 (tptp.implies _let_26 _let_117))) (let ((_let_119 (= tptp.truth _let_118))) (let ((_let_120 (= (tptp.implies _let_3 _let_87) (tptp.implies _let_86 (tptp.implies _let_3 _let_55))))) (let ((_let_121 (= (tptp.implies _let_26 _let_111) (tptp.implies _let_110 (tptp.implies _let_26 _let_109))))) (let ((_let_122 (= (tptp.implies _let_39 _let_111) (tptp.implies _let_110 (tptp.implies _let_39 _let_109))))) (let ((_let_123 (tptp.implies _let_2 _let_93))) (let ((_let_124 (= (tptp.implies _let_2 _let_104) (tptp.implies _let_29 _let_123)))) (let ((_let_125 (= (tptp.implies _let_39 (tptp.implies _let_21 _let_26)) (tptp.implies _let_21 _let_117)))) (let ((_let_126 (= _let_114 (tptp.implies _let_1 _let_68)))) (let ((_let_127 (tptp.implies _let_65 (tptp.implies _let_43 tptp.b)))) (let ((_let_128 (tptp.implies _let_43 _let_64))) (let ((_let_129 (= _let_128 _let_127))) (let ((_let_130 (= (tptp.implies _let_51 _let_50) (tptp.implies _let_70 tptp.b)))) (let ((_let_131 (tptp.implies _let_117 _let_26))) (let ((_let_132 (= (tptp.implies _let_118 _let_117) (tptp.implies _let_131 _let_26)))) (let ((_let_133 (= (tptp.implies _let_106 _let_39) _let_131))) (let ((_let_134 (= tptp.truth (tptp.implies _let_94 (tptp.implies _let_42 _let_123))))) (let ((_let_135 (tptp.implies _let_68 _let_55))) (let ((_let_136 (tptp.implies _let_135 _let_123))) (let ((_let_137 (= (tptp.implies _let_135 (tptp.implies _let_114 _let_123)) (tptp.implies _let_114 _let_136)))) (let ((_let_138 (= _let_136 (tptp.implies _let_86 _let_135)))) (let ((_let_139 (= _let_26 _let_39))) (let ((_let_140 (_let_13))) (let ((_let_141 (ASSUME :args _let_140))) (let ((_let_142 ((tptp.implies (tptp.implies X Y) Y)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_142)) :args _let_140)) _let_141 :args (_let_18 false _let_13)))) (let ((_let_144 (forall ((X $$unsorted) (Y $$unsorted)) (= tptp.truth (tptp.implies X (tptp.implies Y X)))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_146 (_let_144))) (let ((_let_147 ((tptp.implies Y X)))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_146)) _let_145 :args (_let_20 false _let_144)))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_146)) _let_145 :args (_let_22 false _let_144)))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_146)) _let_145 :args (_let_24 false _let_144)))) (let ((_let_151 (_let_7))) (let ((_let_152 (ASSUME :args _let_151))) (let ((_let_153 ((tptp.implies X (tptp.implies Y Z))))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_2 tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_153)) :args _let_151)) _let_152 :args (_let_25 false _let_7)))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_3 tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_153)) :args _let_151)) _let_152 :args (_let_28 false _let_7)))) (let ((_let_156 (forall ((X $$unsorted)) (= tptp.truth (tptp.implies X X))))) (let ((_let_157 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_158 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.implies X X) tptp.truth))))) :args (_let_156))) _let_157 :args (_let_30 false _let_156)))) (let ((_let_159 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (_let_1 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_146)) _let_145 :args (_let_31 false _let_144)))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (_let_2 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_146)) _let_145 :args (_let_32 false _let_144)))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_146)) _let_145 :args (_let_34 false _let_144)))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.a _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_146)) _let_145 :args (_let_35 false _let_144)))) (let ((_let_163 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (_let_2 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_146)) _let_145 :args (_let_37 false _let_144)))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_1 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_153)) :args _let_151)) _let_152 :args (_let_38 false _let_7)))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_16 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_153)) :args _let_151)) _let_152 :args (_let_41 false _let_7)))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_142)) :args _let_140)) _let_141 :args (_let_44 false _let_13)))) (let ((_let_167 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_3 _let_1 QUANTIFIERS_INST_E_MATCHING _let_142)) :args _let_140)) _let_141 :args (_let_46 false _let_13)))) (let ((_let_168 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_146)) _let_145 :args (_let_48 false _let_144)))) (let ((_let_169 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (_let_1 _let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_146)) _let_145 :args (_let_49 false _let_144)))) (let ((_let_170 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.b _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_146)) _let_145 :args (_let_52 false _let_144)))) (let ((_let_171 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.a _let_2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_153)) :args _let_151)) _let_152 :args (_let_54 false _let_7)))) (let ((_let_172 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_4 tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_153)) :args _let_151)) _let_152 :args (_let_56 false _let_7)))) (let ((_let_173 (= _let_19 _let_36))) (let ((_let_174 (not _let_173))) (let ((_let_175 (or _let_174 _let_57))) (let ((_let_176 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.implies X Y) (tptp.implies Y Z))) (= tptp.truth (tptp.implies X Z)))))) (let ((_let_177 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_178 (and _let_20 _let_37))) (let ((_let_179 (ASSUME :args (_let_37)))) (let ((_let_180 (SYMM _let_179))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (ASSUME :args (_let_20)))) (let ((_let_183 (SYMM _let_182))) (let ((_let_184 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_175)) :args ((or _let_174 _let_57 (not _let_175)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_178)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_179 _let_182) (SCOPE (TRANS _let_183 _let_181) :args (_let_37 _let_20))) :args (_let_20 _let_37))) :args (true _let_178)) _let_148 _let_163 :args (_let_173 false _let_20 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (tptp.b _let_2 _let_17 QUANTIFIERS_INST_E_MATCHING ((tptp.implies X Y) (tptp.implies Y Z)))) :args (_let_176))) _let_177 :args (_let_175 false _let_176)) :args (_let_57 false _let_173 false _let_175)))) (let ((_let_185 (forall ((X $$unsorted)) (= X (tptp.implies tptp.truth X))))) (let ((_let_186 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_187 (_let_185))) (let ((_let_188 ((tptp.implies tptp.truth X)))) (let ((_let_189 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_188)) :args _let_187)) _let_186 :args (_let_59 false _let_185)))) (let ((_let_190 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_188)) :args _let_187)) _let_186 :args (_let_60 false _let_185)))) (let ((_let_191 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_186 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_188)) :args _let_187)) _let_186 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QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_188)) :args _let_187)) _let_186 :args (_let_84 false _let_185)))) (let ((_let_209 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_43 tptp.a QUANTIFIERS_INST_E_MATCHING _let_142)) :args _let_140)) _let_141 :args (_let_85 false _let_13)))) (let ((_let_210 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_55 _let_1 QUANTIFIERS_INST_E_MATCHING _let_142)) :args _let_140)) _let_141 :args (_let_88 false _let_13)))) (let ((_let_211 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (tptp.b _let_79 QUANTIFIERS_INST_E_MATCHING _let_142)) :args _let_140)) _let_141 :args (_let_89 false _let_13)))) (let ((_let_212 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_16 tptp.b QUANTIFIERS_INST_E_MATCHING _let_142)) :args _let_140)) _let_141 :args (_let_91 false _let_13)))) (let ((_let_213 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 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((_let_218 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_92 _let_29 tptp.b QUANTIFIERS_INST_E_MATCHING _let_153)) :args _let_151)) _let_152 :args (_let_105 false _let_7)))) (let ((_let_219 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_26 _let_16 tptp.b QUANTIFIERS_INST_E_MATCHING _let_153)) :args _let_151)) _let_152 :args (_let_107 false _let_7)))) (let ((_let_220 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_40 _let_16 tptp.b QUANTIFIERS_INST_E_MATCHING _let_153)) :args _let_151)) _let_152 :args (_let_108 false _let_7)))) (let ((_let_221 (_let_6))) (let ((_let_222 (ASSUME :args _let_221))) (let ((_let_223 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_222 :args (tptp.b tptp.truth QUANTIFIERS_INST_E_MATCHING ((tptp.not Y) (tptp.not X)))) :args _let_221))) _let_222 :args (_let_112 false _let_6)))) (let ((_let_224 (forall ((X $$unsorted) (Y $$unsorted) (Z 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(IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_3 _let_86 _let_55 QUANTIFIERS_INST_E_MATCHING _let_153)) :args _let_151)) _let_152 :args (_let_120 false _let_7)))) (let ((_let_232 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_26 _let_110 _let_109 QUANTIFIERS_INST_E_MATCHING _let_153)) :args _let_151)) _let_152 :args (_let_121 false _let_7)))) (let ((_let_233 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_39 _let_110 _let_109 QUANTIFIERS_INST_E_MATCHING _let_153)) :args _let_151)) _let_152 :args (_let_122 false _let_7)))) (let ((_let_234 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_2 _let_29 _let_93 QUANTIFIERS_INST_E_MATCHING _let_153)) :args _let_151)) _let_152 :args (_let_124 false _let_7)))) (let ((_let_235 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_39 _let_21 _let_26 QUANTIFIERS_INST_E_MATCHING _let_153)) :args _let_151)) _let_152 :args 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(TRANS _let_348 _let_473) _let_471 :args _let_260) _let_475 (CONG (TRANS (TRANS _let_478 (CONG _let_485 _let_486 :args _let_260) (CONG (TRANS (TRANS _let_488 (CONG (TRANS _let_581 (SYMM _let_585)) (TRANS _let_511 _let_492) :args _let_260) (CONG (TRANS _let_585 _let_584 _let_543) (TRANS _let_493 _let_491 (CONG _let_397 _let_533 :args _let_260) _let_513 (CONG (TRANS _let_417 _let_516) _let_514 :args _let_260) _let_518 (CONG (TRANS (TRANS _let_520 _let_399) (SYMM _let_583)) _let_261 :args _let_260) (CONG (TRANS _let_583 (SYMM _let_582)) _let_533 :args _let_260) (CONG (TRANS _let_582 _let_578 _let_269) _let_479 :args _let_260) _let_274 _let_554 _let_279) :args _let_260) (CONG _let_544 _let_276 :args _let_260) _let_263) _let_579) _let_484 :args _let_260) (CONG (SYMM _let_580) _let_468 :args _let_260) _let_553 (CONG (TRANS _let_581 (TRANS _let_497 (CONG _let_580 (TRANS _let_280 _let_542 _let_275 _let_272) :args _let_260) _let_556 (CONG _let_269 _let_557 :args _let_260))) (CONG _let_495 _let_261 :args _let_260) :args _let_260) _let_559 (CONG (TRANS (TRANS _let_562 (CONG _let_276 (TRANS _let_282 _let_549 _let_547 _let_290 _let_264) :args _let_260) _let_180) _let_406) _let_560 :args _let_260) (SYMM _let_576) _let_405 (SYMM _let_577) _let_399) _let_578) _let_565 :args _let_260) (CONG _let_566 _let_476 :args _let_260) _let_402 _let_536 (CONG _let_363 (TRANS _let_350 _let_573 (CONG (TRANS _let_359 (CONG _let_360 (TRANS (CONG (TRANS _let_548 _let_349) _let_344 :args _let_260) _let_573 _let_420) :args _let_260)) _let_344 :args _let_260) _let_362) :args _let_260) _let_365 (CONG _let_392 (TRANS (CONG _let_363 (SYMM _let_569) :args _let_260) _let_572) :args _let_260)) :args (_let_69 _let_54 _let_22 _let_20 _let_32 _let_24 _let_46 _let_28 _let_62 _let_120 _let_88 _let_60 _let_57 _let_18 _let_78 _let_35 _let_77 _let_97 _let_44 _let_25 _let_85 _let_48 _let_30 _let_49 _let_126 _let_115 _let_37 _let_63 _let_67 _let_102 _let_116 _let_129 _let_41 _let_73 _let_61 _let_75 _let_34 _let_83 _let_108 _let_38 _let_31 _let_82 _let_91 _let_59 _let_112 _let_122 _let_80 _let_56 _let_89 _let_72 _let_130 _let_52 _let_103 _let_121 _let_107 _let_100 _let_133 _let_132 _let_119 _let_125 _let_84 _let_139 _let_113 _let_134 _let_95 _let_137 _let_124 _let_105))) :args (_let_18 _let_20 _let_22 _let_24 _let_30 _let_25 _let_28 _let_31 _let_32 _let_34 _let_35 _let_37 _let_38 _let_41 _let_44 _let_46 _let_48 _let_49 _let_52 _let_57 _let_54 _let_56 _let_59 _let_60 _let_61 _let_62 _let_63 _let_67 _let_69 _let_72 _let_73 _let_75 _let_77 _let_78 _let_80 _let_82 _let_83 _let_84 _let_85 _let_88 _let_89 _let_91 _let_139 _let_95 _let_97 _let_100 _let_102 _let_103 _let_105 _let_107 _let_108 _let_112 _let_113 _let_115 _let_116 _let_129 _let_119 _let_120 _let_121 _let_122 _let_124 _let_125 _let_126 _let_130 _let_132 _let_133 _let_134 _let_137))) :args (true _let_568)) :args ((or _let_258 _let_257 _let_341 _let_340 _let_339 _let_338 _let_337 _let_464 _let_336 _let_256 _let_255 _let_463 _let_462 _let_254 _let_253 _let_335 _let_334 _let_333 _let_461 _let_252 _let_332 _let_460 _let_331 _let_330 _let_251 _let_329 _let_250 _let_249 _let_328 _let_459 _let_248 _let_247 _let_327 _let_326 _let_325 _let_458 _let_246 _let_457 _let_324 _let_323 _let_456 _let_455 (not _let_139) _let_322 _let_321 _let_454 _let_453 _let_452 _let_320 _let_451 _let_450 _let_449 (not _let_113) _let_319 _let_448 _let_447 _let_446 _let_318 _let_445 _let_444 _let_317 _let_443 _let_316 _let_138 _let_442 _let_441 _let_440 _let_315 _let_314))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_439)) :args ((or _let_438 _let_139 (not _let_439)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_465)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_466 _let_347 _let_469 _let_472 _let_474 _let_477 _let_434 _let_406 _let_481 _let_287 _let_487 _let_300 _let_297 _let_294 _let_262 _let_266 _let_500 _let_182 _let_502 _let_504 _let_489 _let_507 _let_492 _let_543 _let_512 _let_515 _let_517 _let_519 _let_367 _let_422 _let_369 _let_371 _let_373 _let_381 _let_384 _let_388 _let_528 _let_530 _let_345 _let_355 _let_403 _let_400 _let_404 _let_269 _let_410 _let_407 _let_415 _let_419 _let_273 _let_278 _let_289 _let_284 _let_281 _let_552 _let_555 _let_558 _let_561 _let_179) (SCOPE (TRANS _let_488 (SYMM _let_510) (SYMM _let_545) (SYMM _let_546) _let_263 (SYMM _let_534) (SYMM _let_535) _let_567 _let_401 (CONG _let_566 _let_565 :args _let_260) (CONG (TRANS _let_541 (TRANS _let_522 (SYMM _let_537) _let_538 (SYMM _let_539) (CONG (TRANS _let_417 (TRANS _let_181 (CONG _let_276 (TRANS _let_263 _let_289 _let_564 _let_563 _let_281) :args _let_260) (SYMM _let_562))) _let_560 :args _let_260) (SYMM _let_559) (CONG (TRANS (TRANS (CONG _let_270 _let_557 :args _let_260) (SYMM _let_556) (CONG (SYMM _let_551) (TRANS (CONG _let_269 _let_261 :args _let_260) _let_274 _let_554 _let_279) :args _let_260) _let_499) _let_498) (CONG _let_496 _let_261 :args _let_260) :args _let_260) (SYMM _let_553) (CONG _let_551 _let_468 :args _let_260) (CONG (TRANS _let_550 (TRANS _let_264 _let_546 _let_545 _let_510 (SYMM _let_488))) _let_486 :args _let_260) (CONG _let_485 _let_484 :args _let_260) (SYMM _let_478))) _let_476 :args _let_260) (SYMM _let_475) (CONG (TRANS (SYMM _let_473) _let_349) _let_471 :args _let_260) (SYMM _let_470) (CONG _let_468 (TRANS (CONG _let_352 _let_397 :args _let_260) (SYMM _let_467)) :args _let_260)) :args (_let_84 _let_22 _let_125 _let_119 _let_132 _let_133 _let_59 _let_30 _let_100 _let_35 _let_107 _let_83 _let_34 _let_75 _let_18 _let_41 _let_31 _let_20 _let_82 _let_91 _let_112 _let_122 _let_121 _let_38 _let_103 _let_52 _let_130 _let_72 _let_28 _let_80 _let_62 _let_24 _let_46 _let_32 _let_54 _let_69 _let_56 _let_89 _let_25 _let_60 _let_77 _let_97 _let_115 _let_44 _let_126 _let_49 _let_48 _let_85 _let_73 _let_61 _let_63 _let_57 _let_67 _let_108 _let_129 _let_116 _let_102 _let_37))) :args (_let_18 _let_20 _let_22 _let_24 _let_30 _let_25 _let_28 _let_31 _let_32 _let_34 _let_35 _let_37 _let_38 _let_41 _let_44 _let_46 _let_48 _let_49 _let_52 _let_57 _let_54 _let_56 _let_59 _let_60 _let_61 _let_62 _let_63 _let_67 _let_69 _let_72 _let_73 _let_75 _let_77 _let_80 _let_82 _let_83 _let_84 _let_85 _let_89 _let_91 _let_97 _let_100 _let_102 _let_103 _let_107 _let_108 _let_112 _let_115 _let_116 _let_129 _let_119 _let_121 _let_122 _let_125 _let_126 _let_130 _let_132 _let_133))) :args (true _let_465)) :args ((or _let_258 _let_257 _let_341 _let_340 _let_339 _let_338 _let_337 _let_464 _let_336 _let_256 _let_255 _let_463 _let_462 _let_254 _let_253 _let_335 _let_334 _let_333 _let_461 _let_252 _let_332 _let_460 _let_331 _let_330 _let_251 _let_329 _let_250 _let_249 _let_328 _let_459 _let_248 _let_247 _let_327 _let_325 _let_458 _let_437 _let_246 _let_457 _let_324 _let_456 _let_455 _let_321 _let_454 _let_453 _let_452 _let_451 _let_450 _let_449 _let_319 _let_448 _let_447 _let_446 _let_445 _let_444 _let_443 _let_316 _let_442 _let_441 _let_440))) _let_143 _let_148 _let_149 _let_150 _let_158 _let_154 _let_155 _let_159 _let_160 _let_161 _let_162 _let_163 _let_164 _let_165 _let_166 _let_167 _let_168 _let_169 _let_170 _let_184 _let_171 _let_172 _let_189 _let_190 _let_191 _let_192 _let_193 _let_194 _let_195 _let_196 _let_197 _let_198 _let_199 _let_205 _let_206 _let_207 _let_208 _let_209 _let_211 _let_212 _let_214 _let_215 _let_216 _let_217 _let_219 _let_220 _let_223 _let_228 _let_229 _let_305 _let_230 _let_232 _let_233 _let_235 _let_236 _let_306 _let_307 _let_308 :args (_let_437 false _let_18 false _let_20 false _let_22 false _let_24 false _let_30 false _let_25 false _let_28 false _let_31 false _let_32 false _let_34 false _let_35 false _let_37 false _let_38 false _let_41 false _let_44 false _let_46 false _let_48 false _let_49 false _let_52 false _let_57 false _let_54 false _let_56 false _let_59 false _let_60 false _let_61 false _let_62 false _let_63 false _let_67 false _let_69 false _let_72 false _let_73 false _let_75 false _let_77 false _let_80 false _let_82 false _let_83 false _let_84 false _let_85 false _let_89 false _let_91 false _let_97 false _let_100 false _let_102 false _let_103 false _let_107 false _let_108 false _let_112 false _let_115 false _let_116 false _let_129 false _let_119 false _let_121 false _let_122 false _let_125 false _let_126 false _let_130 false _let_132 false _let_133)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_242 :args (_let_26 _let_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_243)) :args _let_241)) _let_242 :args (_let_439 false _let_11)) :args (_let_139 false _let_437 false _let_439)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_343)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_313 _let_393 _let_426 _let_407 _let_373 _let_371 _let_381 _let_182 _let_347 _let_384 _let_388 _let_410 _let_269 _let_355 _let_403 _let_419 _let_415 _let_406 _let_404 _let_400 _let_369 _let_367 _let_287 _let_345 _let_422 _let_428 _let_430 _let_432 _let_434 _let_358 _let_262 _let_284 _let_361 _let_364) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_425 (CONG (SYMM _let_424) (TRANS (CONG _let_276 (TRANS (CONG _let_436 (TRANS (SYMM _let_435) (CONG _let_406 _let_261 :args _let_260)) :args _let_260) _let_433) :args _let_260) _let_431 (CONG (TRANS _let_417 _let_287) _let_395 :args _let_260) (CONG (TRANS _let_288 (SYMM _let_413) _let_412) _let_395 :args _let_260)) :args _let_260) _let_429 (CONG (TRANS (TRANS _let_411 _let_409 _let_408) _let_427) (TRANS _let_425 (CONG _let_396 _let_395 :args _let_260)) :args _let_260) _let_394) (TRANS (CONG _let_392 (TRANS _let_391 (CONG _let_363 (SYMM _let_368) :args _let_260)) :args _let_260) (SYMM _let_365) (CONG _let_363 (TRANS (SYMM _let_362) (CONG (TRANS (CONG _let_360 (TRANS _let_355 _let_354 (CONG (TRANS _let_352 _let_286) _let_344 :args _let_260)) :args _let_260) (SYMM _let_359)) _let_344 :args _let_260) _let_354 _let_351) :args _let_260) (SYMM _let_357) (SYMM _let_346)) :args (=)) (FALSE_INTRO _let_313))) :args (_let_342 _let_134 _let_95 _let_49 _let_46 _let_24 _let_32 _let_20 _let_22 _let_54 _let_69 _let_126 _let_44 _let_60 _let_77 _let_85 _let_48 _let_30 _let_115 _let_97 _let_62 _let_28 _let_35 _let_25 _let_80 _let_137 _let_124 _let_105 _let_59 _let_78 _let_18 _let_57 _let_88 _let_120))) :args (_let_342 _let_18 _let_20 _let_22 _let_24 _let_30 _let_25 _let_28 _let_32 _let_35 _let_44 _let_46 _let_48 _let_49 _let_57 _let_54 _let_59 _let_60 _let_62 _let_69 _let_77 _let_78 _let_80 _let_85 _let_88 _let_95 _let_97 _let_105 _let_115 _let_120 _let_124 _let_126 _let_134 _let_137))) :args (true _let_343)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_342) _let_311))) (REFL :args (_let_258)) (REFL :args (_let_257)) (REFL :args (_let_341)) (REFL :args (_let_340)) (REFL :args (_let_339)) (REFL :args (_let_338)) (REFL :args (_let_337)) (REFL :args (_let_336)) (REFL :args (_let_255)) (REFL :args (_let_253)) (REFL :args (_let_335)) (REFL :args (_let_334)) (REFL :args (_let_333)) (REFL :args (_let_252)) (REFL :args (_let_332)) (REFL :args (_let_331)) (REFL :args (_let_330)) (REFL :args (_let_329)) (REFL :args (_let_328)) (REFL :args (_let_327)) (REFL :args (_let_326)) (REFL :args (_let_325)) (REFL :args (_let_324)) (REFL :args (_let_323)) (REFL :args (_let_322)) (REFL :args (_let_321)) (REFL :args (_let_320)) (REFL :args (_let_319)) (REFL :args (_let_318)) (REFL :args (_let_317)) (REFL :args (_let_316)) (REFL :args (_let_315)) (REFL :args (_let_314)) (REFL :args (_let_312)) :args (or))) :args ((or _let_311 _let_258 _let_257 _let_341 _let_340 _let_339 _let_338 _let_337 _let_336 _let_255 _let_253 _let_335 _let_334 _let_333 _let_252 _let_332 _let_331 _let_330 _let_329 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_312 _let_315 _let_314))) _let_313 _let_143 _let_148 _let_149 _let_150 _let_158 _let_154 _let_155 _let_160 _let_162 _let_166 _let_167 _let_168 _let_169 _let_184 _let_171 _let_189 _let_190 _let_192 _let_195 _let_199 _let_204 _let_205 _let_209 _let_210 _let_213 _let_214 _let_218 _let_228 _let_231 _let_234 _let_236 _let_309 _let_310 :args (_let_312 true _let_311 false _let_18 false _let_20 false _let_22 false _let_24 false _let_30 false _let_25 false _let_28 false _let_32 false _let_35 false _let_44 false _let_46 false _let_48 false _let_49 false _let_57 false _let_54 false _let_59 false _let_60 false _let_62 false _let_69 false _let_77 false _let_78 false _let_80 false _let_85 false _let_88 false _let_95 false _let_97 false _let_105 false _let_115 false _let_120 false _let_124 false _let_126 false _let_134 false _let_137)) _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_236 _let_235 _let_234 _let_233 _let_232 _let_231 _let_230 _let_229 _let_228 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (_let_29 _let_39 tptp.b QUANTIFIERS_INST_E_MATCHING _let_227)) :args _let_226)) _let_225 :args (_let_113 false _let_224)) _let_223 _let_220 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209 _let_208 _let_207 _let_206 _let_205 _let_204 _let_199 _let_198 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_184 _let_172 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_155 _let_154 _let_150 _let_149 _let_148 _let_143 :args (false false _let_139 true _let_138 false _let_137 false _let_134 false _let_133 false _let_132 false _let_130 false _let_129 false _let_126 false _let_125 false _let_124 false _let_122 false _let_121 false _let_120 false _let_119 false _let_116 false _let_115 false _let_113 false _let_112 false _let_108 false _let_107 false _let_105 false _let_103 false _let_102 false _let_100 false _let_97 false _let_95 false _let_91 false _let_89 false _let_88 false _let_85 false _let_84 false _let_83 false _let_82 false _let_80 false _let_78 false _let_77 false _let_75 false _let_73 false _let_72 false _let_69 false _let_67 false _let_63 false _let_62 false _let_61 false _let_60 false _let_59 false _let_57 false _let_56 false _let_54 false _let_52 false _let_49 false _let_48 false _let_46 false _let_44 false _let_41 false _let_38 false _let_37 false _let_35 false _let_34 false _let_32 false _let_31 false _let_30 false _let_28 false _let_25 false _let_24 false _let_22 false _let_20 false _let_18)) :args (_let_15 _let_14 _let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X)) tptp.truth)) _let_12 _let_11 (forall ((X $$unsorted)) (= (tptp.implies X tptp.truth) tptp.truth)) _let_10 _let_9 _let_8 _let_7 (forall ((X $$unsorted)) (= (tptp.implies X (tptp.not tptp.truth)) (tptp.not X))) (forall ((X $$unsorted)) (= (tptp.not (tptp.not X)) X)) _let_6 _let_5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.19/10.40 )
% 10.19/10.41 % SZS output end Proof for LCL109-3
% 10.19/10.41 % cvc5---1.0.5 exiting
% 10.19/10.41 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------