TSTP Solution File: HWV001-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : HWV001-1 : TPTP v8.1.2. Released v1.1.0.
% 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 02:07:02 EDT 2023

% Result   : Unsatisfiable 0.61s 0.87s
% Output   : Proof 0.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : HWV001-1 : TPTP v8.1.2. Released v1.1.0.
% 0.06/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n024.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   : Tue Aug 29 14:29:07 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.JV5KU59nAE/cvc5---1.0.5_28221.p...
% 0.20/0.50  ------- get file name : TPTP file name is HWV001-1
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_28221.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.61/0.87  % SZS status Unsatisfiable for HWV001-1
% 0.61/0.87  % SZS output start Proof for HWV001-1
% 0.70/0.88  (
% 0.70/0.88  (let ((_let_1 (tptp.input tptp.i1 tptp.i2))) (let ((_let_2 (tptp.circuit _let_1 (tptp.output tptp.i2 tptp.i1)))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.circuit _let_1 (tptp.output tptp.a1 tptp.a2)))) (let ((_let_5 (tptp.and tptp.i1 tptp.i2))) (let ((_let_6 (= tptp.f3 _let_5))) (let ((_let_7 (tptp.not tptp.i2))) (let ((_let_8 (= tptp.f2 _let_7))) (let ((_let_9 (tptp.not tptp.i1))) (let ((_let_10 (= tptp.f1 _let_9))) (let ((_let_11 (tptp.or tptp.f2 tptp.f3))) (let ((_let_12 (= tptp.e2 _let_11))) (let ((_let_13 (tptp.or tptp.f1 tptp.f3))) (let ((_let_14 (= tptp.e1 _let_13))) (let ((_let_15 (tptp.not tptp.e2))) (let ((_let_16 (= tptp.d2 _let_15))) (let ((_let_17 (tptp.not tptp.e1))) (let ((_let_18 (= tptp.d1 _let_17))) (let ((_let_19 (= tptp.d3 tptp.f3))) (let ((_let_20 (tptp.or tptp.d2 tptp.d3))) (let ((_let_21 (= tptp.c2 _let_20))) (let ((_let_22 (tptp.or tptp.d1 tptp.d3))) (let ((_let_23 (= tptp.c1 _let_22))) (let ((_let_24 (tptp.or tptp.c1 tptp.c2))) (let ((_let_25 (= tptp.b3 _let_24))) (let ((_let_26 (tptp.not tptp.d2))) (let ((_let_27 (= tptp.b2 _let_26))) (let ((_let_28 (tptp.not tptp.d1))) (let ((_let_29 (= tptp.b1 _let_28))) (let ((_let_30 (tptp.and tptp.b2 tptp.b3))) (let ((_let_31 (= tptp.a2 _let_30))) (let ((_let_32 (tptp.and tptp.b1 tptp.b3))) (let ((_let_33 (= tptp.a1 _let_32))) (let ((_let_34 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.or (tptp.and X Y) (tptp.and Y (tptp.not X))) Y)))) (let ((_let_35 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.or (tptp.and X Y) (tptp.and X (tptp.not Y))) X)))) (let ((_let_36 (forall ((X $$unsorted)) (= (tptp.not (tptp.not X)) X)))) (let ((_let_37 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.or X Y))) (= (tptp.or _let_1 X) _let_1))))) (let ((_let_38 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.and X Y))) (= (tptp.and _let_1 X) _let_1))))) (let ((_let_39 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.and (tptp.or X Y) Z) (tptp.or (tptp.and X Z) (tptp.and Y Z)))))) (let ((_let_40 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.not (tptp.or X Y)) (tptp.and (tptp.not X) (tptp.not Y)))))) (let ((_let_41 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.not (tptp.and X Y)) (tptp.or (tptp.not X) (tptp.not Y)))))) (let ((_let_42 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.or (tptp.or X Y) Z) (tptp.or (tptp.or X Z) Y))))) (let ((_let_43 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.or X (tptp.or Y Z)) (tptp.or (tptp.or X Y) Z))))) (let ((_let_44 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.and X (tptp.and Y Z)) (tptp.and (tptp.and X Y) Z))))) (let ((_let_45 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.or X Y) (tptp.or Y X))))) (let ((_let_46 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and X Y) (tptp.and Y X))))) (let ((_let_47 (tptp.and tptp.b3 tptp.b2))) (let ((_let_48 (= _let_30 _let_47))) (let ((_let_49 (tptp.and tptp.i2 tptp.i1))) (let ((_let_50 (= _let_5 _let_49))) (let ((_let_51 (tptp.or tptp.d3 tptp.d1))) (let ((_let_52 (= _let_22 _let_51))) (let ((_let_53 (= _let_20 (tptp.or tptp.d3 tptp.d2)))) (let ((_let_54 (tptp.or tptp.c1 tptp.d2))) (let ((_let_55 (tptp.or _let_54 tptp.d3))) (let ((_let_56 (tptp.or tptp.c1 _let_20))) (let ((_let_57 (= _let_56 _let_55))) (let ((_let_58 (tptp.not tptp.b3))) (let ((_let_59 (tptp.not tptp.b1))) (let ((_let_60 (tptp.or _let_59 _let_58))) (let ((_let_61 (= (tptp.not _let_32) _let_60))) (let ((_let_62 (tptp.not tptp.b2))) (let ((_let_63 (tptp.or _let_62 _let_58))) (let ((_let_64 (= (tptp.not _let_30) _let_63))) (let ((_let_65 (tptp.or _let_9 _let_7))) (let ((_let_66 (tptp.not _let_5))) (let ((_let_67 (= _let_66 _let_65))) (let ((_let_68 (tptp.not tptp.d3))) (let ((_let_69 (tptp.and _let_28 _let_68))) (let ((_let_70 (= (tptp.not _let_22) _let_69))) (let ((_let_71 (tptp.and _let_26 _let_68))) (let ((_let_72 (tptp.not _let_20))) (let ((_let_73 (= _let_72 _let_71))) (let ((_let_74 (tptp.not tptp.c2))) (let ((_let_75 (tptp.not tptp.c1))) (let ((_let_76 (tptp.and _let_75 _let_74))) (let ((_let_77 (= (tptp.not _let_24) _let_76))) (let ((_let_78 (tptp.not tptp.f3))) (let ((_let_79 (tptp.not tptp.f1))) (let ((_let_80 (tptp.and _let_79 _let_78))) (let ((_let_81 (= (tptp.not _let_13) _let_80))) (let ((_let_82 (tptp.not tptp.f2))) (let ((_let_83 (tptp.and _let_82 _let_78))) (let ((_let_84 (= (tptp.not _let_11) _let_83))) (let ((_let_85 (tptp.and _let_5 tptp.i1))) (let ((_let_86 (= _let_5 _let_85))) (let ((_let_87 (tptp.or _let_20 tptp.d2))) (let ((_let_88 (= _let_20 _let_87))) (let ((_let_89 (= tptp.e1 (tptp.not _let_17)))) (let ((_let_90 (= tptp.e2 (tptp.not _let_15)))) (let ((_let_91 (tptp.and tptp.i2 _let_9))) (let ((_let_92 (tptp.or _let_5 _let_91))) (let ((_let_93 (= tptp.i2 _let_92))) (let ((_let_94 (= _let_85 (tptp.and tptp.i1 _let_5)))) (let ((_let_95 (= _let_91 (tptp.and _let_9 tptp.i2)))) (let ((_let_96 (= _let_80 (tptp.and _let_78 _let_79)))) (let ((_let_97 (tptp.and _let_75 _let_26))) (let ((_let_98 (= (tptp.and _let_75 _let_71) (tptp.and _let_97 _let_68)))) (let ((_let_99 (tptp.or _let_56 tptp.d2))) (let ((_let_100 (= (tptp.or tptp.c1 _let_87) _let_99))) (let ((_let_101 (= _let_55 (tptp.or (tptp.or tptp.c1 tptp.d3) tptp.d2)))) (let ((_let_102 (tptp.not _let_68))) (let ((_let_103 (= (tptp.not _let_69) (tptp.or (tptp.not _let_28) _let_102)))) (let ((_let_104 (= (tptp.not _let_71) (tptp.or (tptp.not _let_26) _let_102)))) (let ((_let_105 (= (tptp.not _let_76) (tptp.or (tptp.not _let_75) (tptp.not _let_74))))) (let ((_let_106 (tptp.not _let_58))) (let ((_let_107 (= (tptp.not _let_60) (tptp.and (tptp.not _let_59) _let_106)))) (let ((_let_108 (= (tptp.not _let_63) (tptp.and (tptp.not _let_62) _let_106)))) (let ((_let_109 (= _let_97 (tptp.not _let_54)))) (let ((_let_110 (tptp.not _let_91))) (let ((_let_111 (tptp.and _let_66 _let_110))) (let ((_let_112 (= (tptp.not _let_92) _let_111))) (let ((_let_113 (tptp.not _let_7))) (let ((_let_114 (tptp.not _let_9))) (let ((_let_115 (= (tptp.not _let_65) (tptp.and _let_114 _let_113)))) (let ((_let_116 (= _let_49 (tptp.and _let_49 tptp.i2)))) (let ((_let_117 (= _let_51 (tptp.or _let_51 tptp.d3)))) (let ((_let_118 (= tptp.i1 _let_114))) (let ((_let_119 (= tptp.i2 _let_113))) (let ((_let_120 (tptp.and _let_75 _let_72))) (let ((_let_121 (tptp.and _let_75 _let_20))) (let ((_let_122 (tptp.or _let_121 _let_120))) (let ((_let_123 (= _let_75 _let_122))) (let ((_let_124 (= _let_79 (tptp.or (tptp.and _let_79 _let_5) (tptp.and _let_79 _let_66))))) (let ((_let_125 (tptp.and tptp.b2 _let_58))) (let ((_let_126 (tptp.or _let_47 _let_125))) (let ((_let_127 (= tptp.b2 _let_126))) (let ((_let_128 (= _let_82 (tptp.or (tptp.and _let_5 _let_82) (tptp.and _let_82 _let_66))))) (let ((_let_129 (= _let_99 (tptp.or tptp.d2 _let_56)))) (let ((_let_130 (= (tptp.and _let_66 (tptp.and _let_110 tptp.b3)) (tptp.and _let_111 tptp.b3)))) (let ((_let_131 (tptp.not _let_125))) (let ((_let_132 (= _let_131 (tptp.or _let_62 _let_106)))) (let ((_let_133 (= (tptp.not (tptp.and tptp.f1 tptp.b3)) (tptp.or _let_79 _let_58)))) (let ((_let_134 (= (tptp.not (tptp.and tptp.f2 tptp.b3)) (tptp.or _let_82 _let_58)))) (let ((_let_135 (= (tptp.not _let_126) (tptp.and (tptp.not _let_47) _let_131)))) (let ((_let_136 (= (tptp.not _let_122) (tptp.and (tptp.not _let_121) (tptp.not _let_120))))) (let ((_let_137 (tptp.and _let_97 _let_78))) (let ((_let_138 (= (tptp.and (tptp.or _let_79 _let_97) _let_78) (tptp.or _let_80 _let_137)))) (let ((_let_139 (= (tptp.and (tptp.or _let_82 _let_97) _let_78) (tptp.or _let_83 _let_137)))) (let ((_let_140 (ASSUME :args (_let_33)))) (let ((_let_141 (ASSUME :args (_let_31)))) (let ((_let_142 (ASSUME :args (_let_29)))) (let ((_let_143 (ASSUME :args (_let_27)))) (let ((_let_144 (ASSUME :args (_let_25)))) (let ((_let_145 (ASSUME :args (_let_23)))) (let ((_let_146 (ASSUME :args (_let_21)))) (let ((_let_147 (ASSUME :args (_let_19)))) (let ((_let_148 (ASSUME :args (_let_18)))) (let ((_let_149 (ASSUME :args (_let_16)))) (let ((_let_150 (ASSUME :args (_let_14)))) (let ((_let_151 (ASSUME :args (_let_12)))) (let ((_let_152 (ASSUME :args (_let_10)))) (let ((_let_153 (ASSUME :args (_let_8)))) (let ((_let_154 (ASSUME :args (_let_6)))) (let ((_let_155 (ASSUME :args (_let_4)))) (let ((_let_156 (ASSUME :args (_let_3)))) (let ((_let_157 (_let_46))) (let ((_let_158 (ASSUME :args _let_157))) (let ((_let_159 ((tptp.and X Y)))) (let ((_let_160 (_let_45))) (let ((_let_161 (ASSUME :args _let_160))) (let ((_let_162 ((tptp.or X Y)))) (let ((_let_163 (_let_43))) (let ((_let_164 (ASSUME :args _let_163))) (let ((_let_165 ((tptp.or X (tptp.or Y Z))))) (let ((_let_166 (_let_41))) (let ((_let_167 (ASSUME :args _let_166))) (let ((_let_168 ((tptp.and X Y)))) (let ((_let_169 (_let_40))) (let ((_let_170 (ASSUME :args _let_169))) (let ((_let_171 ((tptp.or X Y)))) (let ((_let_172 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.and X Y))) (= _let_1 (tptp.and _let_1 X)))))) (let ((_let_173 (EQ_RESOLVE (ASSUME :args (_let_38)) (MACRO_SR_EQ_INTRO :args (_let_38 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_174 (_let_172))) (let ((_let_175 ((tptp.and X Y)))) (let ((_let_176 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.or X Y))) (= _let_1 (tptp.or _let_1 X)))))) (let ((_let_177 (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_178 (_let_176))) (let ((_let_179 ((tptp.or X Y)))) (let ((_let_180 (forall ((X $$unsorted)) (= X (tptp.not (tptp.not X)))))) (let ((_let_181 (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_182 (_let_180))) (let ((_let_183 ((tptp.not (tptp.not X))))) (let ((_let_184 (forall ((X $$unsorted) (Y $$unsorted)) (= Y (tptp.or (tptp.and X Y) (tptp.and Y (tptp.not X))))))) (let ((_let_185 (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_186 (_let_184))) (let ((_let_187 ((tptp.and X Y)))) (let ((_let_188 (_let_44))) (let ((_let_189 (ASSUME :args _let_188))) (let ((_let_190 (_let_42))) (let ((_let_191 (ASSUME :args _let_190))) (let ((_let_192 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.or (tptp.and X Y) (tptp.and X (tptp.not Y))))))) (let ((_let_193 (EQ_RESOLVE (ASSUME :args (_let_35)) (MACRO_SR_EQ_INTRO :args (_let_35 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_194 (_let_192))) (let ((_let_195 ((tptp.and X (tptp.not Y))))) (let ((_let_196 (_let_39))) (let ((_let_197 (ASSUME :args _let_196))) (let ((_let_198 ((tptp.or (tptp.and X Z) (tptp.and Y Z))))) (let ((_let_199 (not _let_139))) (let ((_let_200 (not _let_138))) (let ((_let_201 (not _let_136))) (let ((_let_202 (not _let_135))) (let ((_let_203 (not _let_134))) (let ((_let_204 (not _let_133))) (let ((_let_205 (not _let_132))) (let ((_let_206 (not _let_130))) (let ((_let_207 (not _let_129))) (let ((_let_208 (not _let_128))) (let ((_let_209 (not _let_127))) (let ((_let_210 (not _let_124))) (let ((_let_211 (not _let_123))) (let ((_let_212 (not _let_119))) (let ((_let_213 (not _let_118))) (let ((_let_214 (not _let_117))) (let ((_let_215 (not _let_116))) (let ((_let_216 (not _let_115))) (let ((_let_217 (not _let_112))) (let ((_let_218 (not _let_109))) (let ((_let_219 (not _let_108))) (let ((_let_220 (not _let_107))) (let ((_let_221 (not _let_105))) (let ((_let_222 (not _let_104))) (let ((_let_223 (not _let_103))) (let ((_let_224 (not _let_101))) (let ((_let_225 (not _let_100))) (let ((_let_226 (not _let_98))) (let ((_let_227 (not _let_96))) (let ((_let_228 (not _let_95))) (let ((_let_229 (not _let_94))) (let ((_let_230 (not _let_93))) (let ((_let_231 (not _let_90))) (let ((_let_232 (not _let_89))) (let ((_let_233 (not _let_88))) (let ((_let_234 (not _let_86))) (let ((_let_235 (not _let_84))) (let ((_let_236 (not _let_81))) (let ((_let_237 (not _let_77))) (let ((_let_238 (not _let_73))) (let ((_let_239 (not _let_70))) (let ((_let_240 (not _let_67))) (let ((_let_241 (not _let_64))) (let ((_let_242 (not _let_61))) (let ((_let_243 (not _let_57))) (let ((_let_244 (not _let_53))) (let ((_let_245 (not _let_52))) (let ((_let_246 (not _let_50))) (let ((_let_247 (not _let_48))) (let ((_let_248 (not _let_4))) (let ((_let_249 (not _let_6))) (let ((_let_250 (not _let_8))) (let ((_let_251 (not _let_10))) (let ((_let_252 (not _let_12))) (let ((_let_253 (not _let_14))) (let ((_let_254 (not _let_16))) (let ((_let_255 (not _let_18))) (let ((_let_256 (not _let_19))) (let ((_let_257 (not _let_21))) (let ((_let_258 (not _let_23))) (let ((_let_259 (not _let_25))) (let ((_let_260 (not _let_27))) (let ((_let_261 (not _let_29))) (let ((_let_262 (not _let_31))) (let ((_let_263 (not _let_33))) (let ((_let_264 (ASSUME :args (_let_118)))) (let ((_let_265 (SYMM _let_264))) (let ((_let_266 (APPLY_UF tptp.not))) (let ((_let_267 (SYMM _let_152))) (let ((_let_268 (SYMM _let_267))) (let ((_let_269 (CONG _let_268 :args _let_266))) (let ((_let_270 (ASSUME :args 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false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_170 :args (tptp.c1 tptp.d2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_171)) :args _let_169))) _let_170 :args (_let_109 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_62 _let_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_171)) :args _let_169)) _let_170 :args (_let_108 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (_let_59 _let_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_171)) :args _let_169)) _let_170 :args (_let_107 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (_let_75 _let_74 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_166)) _let_167 :args (_let_105 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (_let_26 _let_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_166)) _let_167 :args (_let_104 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (_let_28 _let_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_166)) _let_167 :args (_let_103 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args (tptp.c1 tptp.d2 tptp.d3 QUANTIFIERS_INST_E_MATCHING ((tptp.or (tptp.or X Y) Z)))) :args _let_190)) _let_191 :args (_let_101 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (tptp.c1 _let_20 tptp.d2 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_163)) _let_164 :args (_let_100 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (_let_75 _let_26 _let_68 QUANTIFIERS_INST_E_MATCHING ((tptp.and X (tptp.and Y Z))))) :args _let_188)) _let_189 :args (_let_98 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (_let_79 _let_78 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_159)) :args _let_157)) _let_158 :args (_let_96 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (tptp.i2 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_159)) :args _let_157)) _let_158 :args (_let_95 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (_let_5 tptp.i1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_159)) :args _let_157)) _let_158 :args (_let_94 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args (tptp.i1 tptp.i2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_187)) :args _let_186)) _let_185 :args (_let_93 false _let_184)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.e2 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_90 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (tptp.e1 QUANTIFIERS_INST_E_MATCHING _let_183)) :args _let_182)) _let_181 :args (_let_89 false _let_180)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (tptp.d2 tptp.d3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_179)) :args _let_178)) _let_177 :args (_let_88 false _let_176)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_173 :args (tptp.i1 tptp.i2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_175)) :args _let_174)) _let_173 :args (_let_86 false _let_172)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (tptp.f2 tptp.f3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_171)) :args _let_169)) _let_170 :args (_let_84 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (tptp.f1 tptp.f3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_171)) :args _let_169)) _let_170 :args (_let_81 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (tptp.c1 tptp.c2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_171)) :args _let_169)) _let_170 :args (_let_77 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (tptp.d2 tptp.d3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_171)) :args _let_169)) _let_170 :args (_let_73 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args (tptp.d1 tptp.d3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_171)) :args _let_169)) _let_170 :args (_let_70 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (tptp.i1 tptp.i2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_166)) _let_167 :args (_let_67 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (tptp.b2 tptp.b3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_166)) _let_167 :args (_let_64 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (tptp.b1 tptp.b3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) :args _let_166)) _let_167 :args (_let_61 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_164 :args (tptp.c1 tptp.d2 tptp.d3 QUANTIFIERS_INST_E_MATCHING _let_165)) :args _let_163)) _let_164 :args (_let_57 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (tptp.d2 tptp.d3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_162)) :args _let_160)) _let_161 :args (_let_53 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_161 :args (tptp.d1 tptp.d3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_162)) :args _let_160)) _let_161 :args (_let_52 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (tptp.i1 tptp.i2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_159)) :args _let_157)) _let_158 :args (_let_50 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (tptp.b2 tptp.b3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_159)) :args _let_157)) _let_158 :args (_let_48 false _let_46)) _let_156 _let_155 _let_154 _let_153 _let_152 _let_151 _let_150 _let_149 _let_148 _let_147 _let_146 _let_145 _let_144 _let_143 _let_142 _let_141 _let_140 :args (false false _let_139 false _let_138 false _let_136 false _let_135 false _let_134 false _let_133 false _let_132 false _let_130 false _let_129 false _let_128 false _let_127 false _let_124 false _let_123 false _let_119 false _let_118 false _let_117 false _let_116 false _let_115 false _let_112 false _let_109 false _let_108 false _let_107 false _let_105 false _let_104 false _let_103 false _let_101 false _let_100 false _let_98 false _let_96 false _let_95 false _let_94 false _let_93 false _let_90 false _let_89 false _let_88 false _let_86 false _let_84 false _let_81 false _let_77 false _let_73 false _let_70 false _let_67 false _let_64 false _let_61 false _let_57 false _let_53 false _let_52 false _let_50 false _let_48 true _let_2 false _let_4 false _let_6 false _let_8 false _let_10 false _let_12 false _let_14 false _let_16 false _let_18 false _let_19 false _let_21 false _let_23 false _let_25 false _let_27 false _let_29 false _let_31 false _let_33)) :args ((forall ((X $$unsorted)) (= (tptp.and X tptp.n0) tptp.n0)) (forall ((X $$unsorted)) (= (tptp.and X tptp.n1) X)) (forall ((X $$unsorted)) (= (tptp.or X tptp.n0) X)) (forall ((X $$unsorted)) (= (tptp.or X tptp.n1) tptp.n1)) (= (tptp.not tptp.n0) tptp.n1) (= (tptp.not tptp.n1) tptp.n0) _let_46 _let_45 _let_44 _let_43 _let_42 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.and (tptp.and X Y) Z) (tptp.and (tptp.and X Z) Y))) _let_41 _let_40 _let_39 (forall ((X $$unsorted)) (= (tptp.and X X) X)) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.and X Y))) (= (tptp.and _let_1 Y) _let_1))) _let_38 (forall ((X $$unsorted)) (= (tptp.or X X) X)) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.or X Y))) (= (tptp.or _let_1 Y) _let_1))) _let_37 (forall ((X $$unsorted)) (= (tptp.and X (tptp.not X)) tptp.n0)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and (tptp.and X Y) (tptp.not Y)) tptp.n0)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and (tptp.and X Y) (tptp.not X)) tptp.n0)) (forall ((X $$unsorted)) (= (tptp.or X (tptp.not X)) tptp.n1)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.or (tptp.or X Y) (tptp.not Y)) tptp.n1)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.or (tptp.or X Y) (tptp.not X)) tptp.n1)) _let_36 _let_35 _let_34 _let_33 _let_31 _let_29 _let_27 _let_25 _let_23 _let_21 _let_19 _let_18 _let_16 _let_14 _let_12 _let_10 _let_8 _let_6 _let_4 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.70/0.88  )
% 0.70/0.89  % SZS output end Proof for HWV001-1
% 0.70/0.89  % cvc5---1.0.5 exiting
% 0.70/0.89  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------