%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LCL156-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.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 07:00:53 EDT 2023

% Result   : Unsatisfiable 0.62s 0.81s
% Output   : Proof 0.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL156-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Thu Aug 24 22:07:08 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.58Lir6i5ay/cvc5---1.0.5_19742.p...
% 0.19/0.48  ------- get file name : TPTP file name is LCL156-1
% 0.19/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19742.smt2...
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.62/0.81  % SZS status Unsatisfiable for LCL156-1
% 0.62/0.81  % SZS output start Proof for LCL156-1
% 0.62/0.82  (
% 0.62/0.82  (let ((_let_1 (tptp.and_star tptp.x tptp.truth))) (let ((_let_2 (not (= _let_1 tptp.x)))) (let ((_let_3 (tptp.not tptp.truth))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and_star X Y) (tptp.not (tptp.or (tptp.not X) (tptp.not Y))))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and X Y) (tptp.and Y X))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.and (tptp.and X Y) Z) (tptp.and X (tptp.and Y Z)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and X Y) (tptp.not (tptp.or (tptp.not X) (tptp.not Y))))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.or X Y) (tptp.or Y X))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.or (tptp.or X Y) Z) (tptp.or X (tptp.or Y Z)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.or X Y) (tptp.implies (tptp.not X) Y))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X)) tptp.truth)))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies X Y) Y) (tptp.implies (tptp.implies Y X) X))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))) tptp.truth)))) (let ((_let_14 (forall ((X $$unsorted)) (= (tptp.implies tptp.truth X) X)))) (let ((_let_15 (= tptp.x _let_1))) (let ((_let_16 (tptp.not tptp.x))) (let ((_let_17 (tptp.or _let_16 _let_3))) (let ((_let_18 (tptp.not _let_17))) (let ((_let_19 (= _let_1 _let_18))) (let ((_let_20 (tptp.not _let_16))) (let ((_let_21 (tptp.implies _let_20 _let_3))) (let ((_let_22 (= _let_17 _let_21))) (let ((_let_23 (tptp.or _let_3 _let_16))) (let ((_let_24 (= _let_17 _let_23))) (let ((_let_25 (tptp.and tptp.x tptp.truth))) (let ((_let_26 (= _let_18 _let_25))) (let ((_let_27 (tptp.implies tptp.truth _let_16))) (let ((_let_28 (= tptp.truth (tptp.implies _let_21 _let_27)))) (let ((_let_29 (tptp.not _let_3))) (let ((_let_30 (tptp.implies _let_29 _let_16))) (let ((_let_31 (= _let_23 _let_30))) (let ((_let_32 (tptp.and tptp.truth tptp.x))) (let ((_let_33 (= (tptp.not _let_23) _let_32))) (let ((_let_34 (= _let_16 _let_27))) (let ((_let_35 (tptp.implies tptp.truth _let_29))) (let ((_let_36 (= tptp.truth (tptp.implies _let_35 (tptp.implies _let_30 _let_27))))) (let ((_let_37 (tptp.implies _let_3 _let_3))) (let ((_let_38 (tptp.implies _let_29 _let_29))) (let ((_let_39 (= tptp.truth (tptp.implies _let_38 _let_37)))) (let ((_let_40 (= tptp.truth (tptp.implies tptp.truth tptp.truth)))) (let ((_let_41 (= _let_29 _let_35))) (let ((_let_42 (= (tptp.implies (tptp.implies _let_35 tptp.truth) tptp.truth) (tptp.implies (tptp.implies tptp.truth _let_35) _let_35)))) (let ((_let_43 (tptp.and _let_3 tptp.truth))) (let ((_let_44 (tptp.and tptp.truth _let_3))) (let ((_let_45 (= (tptp.or _let_44 _let_43) (tptp.implies (tptp.not _let_44) _let_43)))) (let ((_let_46 (= (tptp.implies _let_18 _let_18) (tptp.or _let_17 _let_18)))) (let ((_let_47 (tptp.or _let_3 _let_29))) (let ((_let_48 (= _let_38 _let_47))) (let ((_let_49 (= _let_44 (tptp.not _let_47)))) (let ((_let_50 (tptp.or _let_29 _let_3))) (let ((_let_51 (tptp.not _let_50))) (let ((_let_52 (= _let_43 _let_51))) (let ((_let_53 (tptp.or _let_16 _let_20))) (let ((_let_54 (tptp.not _let_53))) (let ((_let_55 (tptp.and tptp.x _let_16))) (let ((_let_56 (= _let_55 _let_54))) (let ((_let_57 (tptp.or _let_20 _let_16))) (let ((_let_58 (tptp.and _let_16 tptp.x))) (let ((_let_59 (= _let_58 (tptp.not _let_57)))) (let ((_let_60 (tptp.not _let_20))) (let ((_let_61 (= (tptp.and _let_16 _let_20) (tptp.not (tptp.or _let_20 _let_60))))) (let ((_let_62 (tptp.not _let_29))) (let ((_let_63 (tptp.and _let_29 _let_3))) (let ((_let_64 (= _let_63 (tptp.not (tptp.or _let_62 _let_29))))) (let ((_let_65 (tptp.and tptp.x _let_17))) (let ((_let_66 (tptp.and tptp.truth _let_65))) (let ((_let_67 (= (tptp.and _let_32 _let_17) _let_66))) (let ((_let_68 (tptp.and _let_17 tptp.truth))) (let ((_let_69 (tptp.and _let_68 tptp.x))) (let ((_let_70 (= _let_69 (tptp.and _let_17 _let_32)))) (let ((_let_71 (= _let_44 _let_43))) (let ((_let_72 (= (tptp.and _let_3 _let_29) _let_63))) (let ((_let_73 (= _let_55 _let_58))) (let ((_let_74 (tptp.and _let_17 _let_18))) (let ((_let_75 (= _let_74 (tptp.and _let_18 _let_17)))) (let ((_let_76 (= tptp.x (tptp.implies tptp.truth tptp.x)))) (let ((_let_77 (= _let_21 (tptp.implies tptp.truth _let_21)))) (let ((_let_78 (= _let_37 (tptp.implies tptp.truth _let_37)))) (let ((_let_79 (= tptp.truth (tptp.implies (tptp.implies _let_62 _let_51) (tptp.implies _let_50 _let_29))))) (let ((_let_80 (tptp.implies _let_60 _let_16))) (let ((_let_81 (= _let_57 _let_80))) (let ((_let_82 (= _let_50 (tptp.implies _let_62 _let_3)))) (let ((_let_83 (tptp.or tptp.x _let_3))) (let ((_let_84 (= (tptp.implies _let_16 _let_3) _let_83))) (let ((_let_85 (= (tptp.implies _let_20 _let_18) (tptp.or _let_16 _let_18)))) (let ((_let_86 (= _let_47 _let_50))) (let ((_let_87 (= _let_53 _let_57))) (let ((_let_88 (tptp.and tptp.truth _let_16))) (let ((_let_89 (= _let_88 (tptp.not (tptp.or _let_3 _let_20))))) (let ((_let_90 (tptp.not _let_65))) (let ((_let_91 (tptp.or _let_3 _let_90))) (let ((_let_92 (= _let_66 (tptp.not _let_91)))) (let ((_let_93 (tptp.not _let_68))) (let ((_let_94 (tptp.or _let_93 _let_16))) (let ((_let_95 (tptp.not _let_94))) (let ((_let_96 (= _let_69 _let_95))) (let ((_let_97 (tptp.not (tptp.or _let_51 _let_51)))) (let ((_let_98 (= (tptp.and _let_50 _let_50) _let_97))) (let ((_let_99 (= (tptp.and (tptp.and _let_17 tptp.x) tptp.truth) (tptp.and _let_17 _let_25)))) (let ((_let_100 (= (tptp.and _let_16 tptp.truth) _let_88))) (let ((_let_101 (= _let_97 (tptp.and_star _let_50 _let_50)))) (let ((_let_102 (= (tptp.not (tptp.or _let_51 _let_29)) (tptp.and_star _let_50 _let_3)))) (let ((_let_103 (= _let_43 (tptp.implies tptp.truth _let_43)))) (let ((_let_104 (tptp.not _let_55))) (let ((_let_105 (= _let_104 (tptp.implies tptp.truth _let_104)))) (let ((_let_106 (= (tptp.implies _let_80 _let_16) (tptp.implies (tptp.implies _let_16 _let_60) _let_60)))) (let ((_let_107 (tptp.or _let_3 _let_18))) (let ((_let_108 (= _let_107 (tptp.implies _let_29 _let_18)))) (let ((_let_109 (= _let_91 (tptp.implies _let_29 _let_90)))) (let ((_let_110 (= (tptp.or _let_20 _let_3) (tptp.implies _let_60 _let_3)))) (let ((_let_111 (tptp.or _let_3 tptp.x))) (let ((_let_112 (= _let_111 (tptp.implies _let_29 tptp.x)))) (let ((_let_113 (= (tptp.implies _let_54 _let_3) (tptp.or _let_53 _let_3)))) (let ((_let_114 (= (tptp.or _let_94 _let_74) (tptp.implies _let_95 _let_74)))) (let ((_let_115 (= (tptp.or _let_57 _let_3) (tptp.or _let_20 _let_17)))) (let ((_let_116 (= (tptp.or _let_94 _let_3) (tptp.or _let_93 _let_17)))) (let ((_let_117 (= _let_107 (tptp.or _let_18 _let_3)))) (let ((_let_118 (= _let_83 _let_111))) (let ((_let_119 (= _let_94 (tptp.or _let_16 _let_93)))) (let ((_let_120 (tptp.not _let_18))) (let ((_let_121 (tptp.or _let_3 _let_120))) (let ((_let_122 (= (tptp.and tptp.truth _let_18) (tptp.not _let_121)))) (let ((_let_123 (= (tptp.and _let_18 tptp.truth) (tptp.not (tptp.or _let_120 _let_3))))) (let ((_let_124 (tptp.not _let_54))) (let ((_let_125 (tptp.and _let_53 _let_54))) (let ((_let_126 (= _let_125 (tptp.not (tptp.or _let_54 _let_124))))) (let ((_let_127 (tptp.and _let_54 _let_53))) (let ((_let_128 (= _let_127 (tptp.not (tptp.or _let_124 _let_54))))) (let ((_let_129 (= (tptp.and _let_32 tptp.truth) (tptp.and tptp.truth _let_25)))) (let ((_let_130 (= (tptp.and (tptp.and tptp.truth tptp.truth) tptp.x) (tptp.and tptp.truth _let_32)))) (let ((_let_131 (= _let_125 _let_127))) (let ((_let_132 (= (tptp.and_star tptp.truth _let_55) (tptp.not (tptp.or _let_3 _let_104))))) (let ((_let_133 (= _let_18 (tptp.implies tptp.truth _let_18)))) (let ((_let_134 (= _let_60 (tptp.implies tptp.truth _let_60)))) (let ((_let_135 (tptp.implies _let_29 _let_120))) (let ((_let_136 (= tptp.truth (tptp.implies _let_135 (tptp.implies _let_18 _let_3))))) (let ((_let_137 (tptp.not _let_120))) (let ((_let_138 (= tptp.truth (tptp.implies (tptp.implies _let_137 _let_95) (tptp.implies _let_94 _let_120))))) (let ((_let_139 (= _let_121 _let_135))) (let ((_let_140 (_let_4))) (let ((_let_141 (ASSUME :args _let_140))) (let ((_let_142 (_let_10))) (let ((_let_143 (ASSUME :args _let_142))) (let ((_let_144 ((tptp.or X Y)))) (let ((_let_145 (_let_8))) (let ((_let_146 (ASSUME :args _let_145))) (let ((_let_147 ((tptp.or X Y)))) (let ((_let_148 (_let_7))) (let ((_let_149 (ASSUME :args _let_148))) (let ((_let_150 ((tptp.or (tptp.not X) (tptp.not Y))))) (let ((_let_151 (forall ((X $$unsorted) (Y $$unsorted)) (= tptp.truth (tptp.implies (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X)))))) (let ((_let_152 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_153 (_let_151))) (let ((_let_154 (tptp.not Y))) (let ((_let_155 (tptp.not X))) (let ((_let_156 ((tptp.implies _let_155 _let_154)))) (let ((_let_157 (forall ((X $$unsorted)) (= X (tptp.implies tptp.truth X))))) (let ((_let_158 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_159 (_let_157))) (let ((_let_160 ((tptp.implies tptp.truth X)))) (let ((_let_161 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= tptp.truth (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))))))) (let ((_let_162 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_163 (_let_155 _let_154))) (let ((_let_164 (_let_12))) (let ((_let_165 (ASSUME :args _let_164))) (let ((_let_166 ((tptp.implies (tptp.implies X Y) Y)))) (let ((_let_167 ((tptp.implies (tptp.not X) Y)))) (let ((_let_168 ((tptp.and X Y)))) (let ((_let_169 (_let_6))) (let ((_let_170 (ASSUME :args _let_169))) (let ((_let_171 ((tptp.and (tptp.and X Y) Z)))) (let ((_let_172 ((tptp.and X (tptp.and Y Z))))) (let ((_let_173 (_let_5))) (let ((_let_174 (ASSUME :args _let_173))) (let ((_let_175 ((tptp.and X Y)))) (let ((_let_176 ((tptp.or (tptp.not X) (tptp.not Y))))) (let ((_let_177 (_let_9))) (let ((_let_178 (ASSUME :args _let_177))) (let ((_let_179 ((tptp.or X (tptp.or Y Z))))) (let ((_let_180 (and _let_19 _let_22 _let_24 _let_26 _let_28 _let_31 _let_33 _let_34 _let_36 _let_39 _let_40 _let_41 _let_42 _let_45 _let_46 _let_48 _let_49 _let_52 _let_56 _let_59 _let_61 _let_64 _let_67 _let_70 _let_71 _let_72 _let_73 _let_75 _let_76 _let_77 _let_78 _let_79 _let_81 _let_82 _let_84 _let_85 _let_86 _let_87 _let_89 _let_92 _let_96 _let_98 _let_99 _let_100 _let_101 _let_102 _let_103 _let_105 _let_106 _let_108 _let_109 _let_110 _let_112 _let_113 _let_114 _let_115 _let_116 _let_117 _let_118 _let_119 _let_122 _let_123 _let_126 _let_128 _let_129 _let_130 _let_131 _let_132 _let_133 _let_134 _let_136 _let_138 _let_139))) (let ((_let_181 (ASSUME :args (_let_19)))) (let ((_let_182 (ASSUME :args (_let_133)))) (let ((_let_183 (SYMM _let_182))) (let ((_let_184 (APPLY_UF tptp.implies))) (let ((_let_185 (REFL :args (_let_18)))) (let ((_let_186 (ASSUME :args (_let_79)))) (let ((_let_187 (SYMM _let_186))) (let ((_let_188 (REFL :args (_let_29)))) (let ((_let_189 (ASSUME :args (_let_82)))) (let ((_let_190 (APPLY_UF tptp.not))) (let ((_let_191 (ASSUME :args (_let_40)))) (let ((_let_192 (SYMM _let_191))) (let ((_let_193 (REFL :args (tptp.truth)))) (let ((_let_194 (ASSUME :args (_let_36)))) (let ((_let_195 (ASSUME :args (_let_31)))) (let ((_let_196 (SYMM _let_195))) (let ((_let_197 (ASSUME :args (_let_24)))) (let ((_let_198 (SYMM _let_197))) (let ((_let_199 (ASSUME :args (_let_22)))) (let ((_let_200 (SYMM _let_199))) (let ((_let_201 (ASSUME :args (_let_28)))) (let ((_let_202 (SYMM _let_201))) (let ((_let_203 (CONG (TRANS (CONG (REFL :args (_let_35)) (TRANS (SYMM _let_202) (CONG (TRANS _let_200 (SYMM _let_198) (SYMM _let_196)) (REFL :args (_let_27)) :args _let_184)) :args _let_184) (SYMM _let_194)) _let_193 :args _let_184))) (let ((_let_204 (ASSUME :args (_let_42)))) (let ((_let_205 (SYMM _let_204))) (let ((_let_206 (ASSUME :args (_let_41)))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (SYMM _let_207))) (let ((_let_209 (CONG (TRANS _let_208 (CONG _let_193 _let_208 :args _let_184)) _let_208 :args _let_184))) (let ((_let_210 (ASSUME :args (_let_48)))) (let ((_let_211 (SYMM _let_210))) (let ((_let_212 (CONG (TRANS _let_211 _let_209 _let_205 _let_203 _let_192) :args _let_190))) (let ((_let_213 (ASSUME :args (_let_49)))) (let ((_let_214 (SYMM _let_213))) (let ((_let_215 (SYMM _let_214))) (let ((_let_216 (ASSUME :args (_let_71)))) (let ((_let_217 (SYMM _let_216))) (let ((_let_218 (ASSUME :args (_let_52)))) (let ((_let_219 (SYMM _let_218))) (let ((_let_220 (TRANS _let_219 _let_217 _let_215 _let_212))) (let ((_let_221 (CONG (REFL :args (_let_62)) _let_220 :args _let_184))) (let ((_let_222 (TRANS _let_221 (SYMM _let_189)))) (let ((_let_223 (ASSUME :args (_let_86)))) (let ((_let_224 (TRANS _let_191 (SYMM _let_203) _let_204 (SYMM _let_209) _let_210 (SYMM (SYMM _let_223)) _let_189 (SYMM _let_221)))) (let ((_let_225 (TRANS _let_224 _let_222))) (let ((_let_226 (CONG _let_224 (TRANS _let_208 (CONG _let_225 _let_188 :args _let_184)) :args _let_184))) (let ((_let_227 (TRANS _let_208 _let_226 _let_187))) (let ((_let_228 (CONG _let_227 _let_185 :args _let_184))) (let ((_let_229 (ASSUME :args (_let_108)))) (let ((_let_230 (SYMM (SYMM _let_229)))) (let ((_let_231 (ASSUME :args (_let_117)))) (let ((_let_232 (APPLY_UF tptp.or))) (let ((_let_233 (REFL :args (_let_3)))) (let ((_let_234 (ASSUME :args (_let_34)))) (let ((_let_235 (SYMM _let_234))) (let ((_let_236 (TRANS (CONG _let_202 (TRANS (CONG _let_193 _let_235 :args _let_184) _let_235) :args _let_184) _let_235))) (let ((_let_237 (CONG _let_188 _let_236 :args _let_184))) (let ((_let_238 (SYMM _let_227))) (let ((_let_239 (CONG _let_238 (SYMM _let_236) :args _let_184))) (let ((_let_240 (TRANS _let_234 _let_239 _let_237 _let_196 _let_198))) (let ((_let_241 (CONG _let_240 :args _let_190))) (let ((_let_242 (ASSUME :args (_let_110)))) (let ((_let_243 (SYMM _let_241))) (let ((_let_244 (CONG _let_243 :args _let_190))) (let ((_let_245 (SYMM _let_244))) (let ((_let_246 (CONG (TRANS (CONG _let_233 _let_241 :args _let_232) _let_230 _let_228 _let_183) :args _let_190))) (let ((_let_247 (ASSUME :args (_let_89)))) (let ((_let_248 (SYMM _let_247))) (let ((_let_249 (SYMM _let_248))) (let ((_let_250 (TRANS _let_249 _let_246 _let_244))) (let ((_let_251 (SYMM _let_246))) (let ((_let_252 (ASSUME :args (_let_134)))) (let ((_let_253 (SYMM _let_252))) (let ((_let_254 (REFL :args (_let_60)))) (let ((_let_255 (CONG _let_227 _let_254 :args _let_184))) (let ((_let_256 (ASSUME :args (_let_138)))) (let ((_let_257 (ASSUME :args (_let_119)))) (let ((_let_258 (APPLY_UF tptp.and))) (let ((_let_259 (CONG _let_240 _let_193 :args 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:args _let_169)) _let_170 :args (_let_130 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (tptp.truth tptp.x tptp.truth QUANTIFIERS_INST_E_MATCHING _let_171)) :args _let_169)) _let_170 :args (_let_129 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_54 _let_53 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_148)) _let_149 :args (_let_128 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_53 _let_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_148)) _let_149 :args (_let_126 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_18 tptp.truth QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_148)) _let_149 :args (_let_123 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (tptp.truth _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_148)) _let_149 :args (_let_122 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (_let_93 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_145)) _let_146 :args (_let_119 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (tptp.x _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_145)) _let_146 :args (_let_118 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (_let_3 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_145)) _let_146 :args (_let_117 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_178 :args (_let_93 _let_16 _let_3 QUANTIFIERS_INST_E_MATCHING _let_179)) :args _let_177)) _let_178 :args (_let_116 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_178 :args (_let_20 _let_16 _let_3 QUANTIFIERS_INST_E_MATCHING _let_179)) :args _let_177)) _let_178 :args (_let_115 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_94 _let_74 QUANTIFIERS_INST_E_MATCHING _let_167)) :args _let_142)) _let_143 :args (_let_114 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_53 _let_3 QUANTIFIERS_INST_E_MATCHING _let_167)) :args _let_142))) _let_143 :args (_let_113 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_3 tptp.x QUANTIFIERS_INST_E_MATCHING _let_167)) :args _let_142)) _let_143 :args (_let_112 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_20 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_142)) _let_143 :args (_let_110 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_3 _let_90 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_142)) _let_143 :args (_let_109 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_3 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_142)) _let_143 :args (_let_108 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (_let_60 _let_16 QUANTIFIERS_INST_E_MATCHING _let_166)) :args _let_164)) _let_165 :args (_let_106 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (_let_104 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_160)) :args _let_159)) _let_158 :args (_let_105 false _let_157)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (_let_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_160)) :args _let_159)) _let_158 :args (_let_103 false _let_157)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_50 _let_3 QUANTIFIERS_INST_E_MATCHING _let_176)) :args _let_140))) _let_141 :args (_let_102 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_50 _let_50 QUANTIFIERS_INST_E_MATCHING _let_176)) :args _let_140))) _let_141 :args (_let_101 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_174 :args (tptp.truth _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173))) _let_174 :args (_let_100 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_17 tptp.x tptp.truth QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_169)) _let_170 :args (_let_99 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_50 _let_50 QUANTIFIERS_INST_E_MATCHING _let_150)) :args _let_148)) _let_149 :args (_let_98 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_68 tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_148)) _let_149 :args (_let_96 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (tptp.truth _let_65 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_148)) _let_149 :args (_let_92 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (tptp.truth _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_148)) _let_149 :args (_let_89 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (_let_16 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_145)) _let_146 :args (_let_87 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (_let_3 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_145)) _let_146 :args (_let_86 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_16 _let_18 QUANTIFIERS_INST_E_MATCHING _let_167)) :args _let_142))) _let_143 :args (_let_85 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_143 :args (tptp.x _let_3 QUANTIFIERS_INST_E_MATCHING _let_167)) :args _let_142))) _let_143 :args (_let_84 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_29 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_142)) _let_143 :args (_let_82 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_20 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_142)) _let_143 :args (_let_81 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_29 _let_50 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_153)) _let_152 :args (_let_79 false _let_151)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (_let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_160)) :args _let_159)) _let_158 :args (_let_78 false _let_157)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_160)) :args _let_159)) _let_158 :args (_let_77 false _let_157)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_160)) :args _let_159)) _let_158 :args (_let_76 false _let_157)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_18 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173))) _let_174 :args (_let_75 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (tptp.x _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_73 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_3 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_72 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (tptp.truth _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_173)) _let_174 :args (_let_71 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_17 tptp.truth tptp.x QUANTIFIERS_INST_E_MATCHING _let_172)) :args _let_169)) _let_170 :args (_let_70 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (tptp.truth tptp.x _let_17 QUANTIFIERS_INST_E_MATCHING _let_171)) :args _let_169)) _let_170 :args (_let_67 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_29 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_148)) _let_149 :args (_let_64 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_16 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_148)) _let_149 :args (_let_61 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_16 tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_148)) _let_149 :args (_let_59 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (tptp.x _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_148)) _let_149 :args (_let_56 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (_let_3 tptp.truth QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_148)) _let_149 :args (_let_52 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (tptp.truth _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_148)) _let_149 :args (_let_49 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_3 _let_29 QUANTIFIERS_INST_E_MATCHING _let_167)) :args _let_142))) _let_143 :args (_let_48 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_17 _let_18 QUANTIFIERS_INST_E_MATCHING _let_167)) :args _let_142))) _let_143 :args (_let_46 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_44 _let_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_142)) _let_143 :args (_let_45 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (_let_35 tptp.truth QUANTIFIERS_INST_E_MATCHING _let_166)) :args _let_164)) _let_165 :args (_let_42 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (_let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_160)) :args _let_159)) _let_158 :args (_let_41 false _let_157)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (tptp.truth QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_160)) :args _let_159)) _let_158 :args (_let_40 false _let_157)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_3 _let_3 QUANTIFIERS_INST_E_MATCHING _let_163)) :args _let_153)) _let_152 :args (_let_39 false _let_151)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.truth _let_29 _let_16 QUANTIFIERS_INST_E_MATCHING ((tptp.implies (tptp.implies Y Z) (tptp.implies X Z))))) :args (_let_161))) _let_162 :args (_let_36 false _let_161)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_160)) :args _let_159)) _let_158 :args (_let_34 false _let_157)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_149 :args (tptp.truth tptp.x QUANTIFIERS_INST_E_MATCHING _let_150)) :args _let_148))) _let_149 :args (_let_33 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_3 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_142)) _let_143 :args (_let_31 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_16 tptp.truth QUANTIFIERS_INST_E_MATCHING _let_156)) :args _let_153)) _let_152 :args (_let_28 false _let_151)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_149 :args (tptp.x tptp.truth QUANTIFIERS_INST_E_MATCHING _let_150)) :args _let_148))) _let_149 :args (_let_26 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (_let_16 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_147)) :args _let_145)) _let_146 :args (_let_24 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_16 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_142)) _let_143 :args (_let_22 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (tptp.x tptp.truth QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.and_star X Y)))) :args _let_140)) _let_141 :args (_let_19 false _let_4)) (SYMM (ASSUME :args (_let_2))) :args (false false _let_139 false _let_138 false _let_136 false _let_134 false _let_133 false _let_132 false _let_131 false _let_130 false _let_129 false _let_128 false _let_126 false _let_123 false _let_122 false _let_119 false _let_118 false _let_117 false _let_116 false _let_115 false _let_114 false _let_113 false _let_112 false _let_110 false _let_109 false _let_108 false _let_106 false _let_105 false _let_103 false _let_102 false _let_101 false _let_100 false _let_99 false _let_98 false _let_96 false _let_92 false _let_89 false _let_87 false _let_86 false _let_85 false _let_84 false _let_82 false _let_81 false _let_79 false _let_78 false _let_77 false _let_76 false _let_75 false _let_73 false _let_72 false _let_71 false _let_70 false _let_67 false _let_64 false _let_61 false _let_59 false _let_56 false _let_52 false _let_49 false _let_48 false _let_46 false _let_45 false _let_42 false _let_41 false _let_40 false _let_39 false _let_36 false _let_34 false _let_33 false _let_31 false _let_28 false _let_26 false _let_24 false _let_22 false _let_19 true _let_15)) :args (_let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.xor X Y) (tptp.or (tptp.and X (tptp.not Y)) (tptp.and (tptp.not X) Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.xor X Y) (tptp.xor Y X))) _let_4 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.and_star (tptp.and_star X Y) Z) (tptp.and_star X (tptp.and_star Y Z)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and_star X Y) (tptp.and_star Y X))) (= _let_3 tptp.falsehood) _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.62/0.82  )
% 0.62/0.82  % SZS output end Proof for LCL156-1
% 0.62/0.82  % cvc5---1.0.5 exiting
% 0.62/0.83  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------