TSTP Solution File: HWV003-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : HWV003-2 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 02:07:03 EDT 2023
% Result : Unsatisfiable 5.42s 5.62s
% Output : Proof 5.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : HWV003-2 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 16:17:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.OkvMcGUazI/cvc5---1.0.5_15045.p...
% 0.21/0.49 ------- get file name : TPTP file name is HWV003-2
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15045.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 5.42/5.62 % SZS status Unsatisfiable for HWV003-2
% 5.42/5.62 % SZS output start Proof for HWV003-2
% 5.42/5.66 (
% 5.42/5.66 (let ((_let_1 (or (not (= tptp.sum tptp.sum_def)) (not (= tptp.carry tptp.carry_def))))) (let ((_let_2 (tptp.and tptp.t1 tptp.t5))) (let ((_let_3 (tptp.not _let_2))) (let ((_let_4 (= _let_3 tptp.carry))) (let ((_let_5 (tptp.not (tptp.and tptp.t6 tptp.t7)))) (let ((_let_6 (= _let_5 tptp.sum))) (let ((_let_7 (tptp.and tptp.t5 tptp.cin))) (let ((_let_8 (tptp.not _let_7))) (let ((_let_9 (= _let_8 tptp.t7))) (let ((_let_10 (tptp.and tptp.t4 tptp.t5))) (let ((_let_11 (tptp.not _let_10))) (let ((_let_12 (= _let_11 tptp.t6))) (let ((_let_13 (tptp.and tptp.t4 tptp.cin))) (let ((_let_14 (tptp.not _let_13))) (let ((_let_15 (= _let_14 tptp.t5))) (let ((_let_16 (tptp.and tptp.t2 tptp.t3))) (let ((_let_17 (tptp.not _let_16))) (let ((_let_18 (= _let_17 tptp.t4))) (let ((_let_19 (tptp.and tptp.b tptp.t1))) (let ((_let_20 (tptp.not _let_19))) (let ((_let_21 (= _let_20 tptp.t3))) (let ((_let_22 (tptp.and tptp.a tptp.t1))) (let ((_let_23 (tptp.not _let_22))) (let ((_let_24 (= _let_23 tptp.t2))) (let ((_let_25 (tptp.and tptp.a tptp.b))) (let ((_let_26 (tptp.not _let_25))) (let ((_let_27 (= _let_26 tptp.t1))) (let ((_let_28 (tptp.not tptp.cin))) (let ((_let_29 (tptp.and _let_28 _let_25))) (let ((_let_30 (tptp.or tptp.a tptp.b))) (let ((_let_31 (tptp.and tptp.cin _let_30))) (let ((_let_32 (tptp.or _let_31 _let_29))) (let ((_let_33 (= _let_32 tptp.carry_def))) (let ((_let_34 (tptp.xor tptp.a tptp.b))) (let ((_let_35 (tptp.xor _let_34 tptp.cin))) (let ((_let_36 (= _let_35 tptp.sum_def))) (let ((_let_37 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.or (tptp.and (tptp.not X) Y) (tptp.and X (tptp.not Y))) (tptp.xor X Y))))) (let ((_let_38 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.not (tptp.and X Y)) (tptp.or (tptp.not X) (tptp.not Y)))))) (let ((_let_39 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.not (tptp.or X Y)) (tptp.and (tptp.not X) (tptp.not Y)))))) (let ((_let_40 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and X (tptp.or X Y)) X)))) (let ((_let_41 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.or X (tptp.and X Y)) X)))) (let ((_let_42 (tptp.not tptp.ll0))) (let ((_let_43 (= _let_42 tptp.ll1))) (let ((_let_44 (forall ((X $$unsorted)) (= (tptp.not (tptp.not X)) X)))) (let ((_let_45 (forall ((X $$unsorted)) (= (tptp.and X (tptp.not X)) tptp.ll0)))) (let ((_let_46 (forall ((X $$unsorted)) (= (tptp.or X (tptp.not X)) tptp.ll1)))) (let ((_let_47 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.or X (tptp.and Y Z)) (tptp.and (tptp.or X Y) (tptp.or X Z)))))) (let ((_let_48 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.and X (tptp.or Y Z)) (tptp.or (tptp.and X Y) (tptp.and X Z)))))) (let ((_let_49 (forall ((X $$unsorted)) (= (tptp.and X tptp.ll1) X)))) (let ((_let_50 (forall ((X $$unsorted)) (= (tptp.or X tptp.ll0) X)))) (let ((_let_51 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.and (tptp.and X Y) Z) (tptp.and X (tptp.and Y Z)))))) (let ((_let_52 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.or (tptp.or X Y) Z) (tptp.or X (tptp.or Y Z)))))) (let ((_let_53 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and X Y) (tptp.and Y X))))) (let ((_let_54 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.or X Y) (tptp.or Y X))))) (let ((_let_55 (= tptp.ll1 _let_42))) (let ((_let_56 (= tptp.carry_def _let_32))) (let ((_let_57 (= tptp.t1 _let_26))) (let ((_let_58 (= tptp.t2 _let_23))) (let ((_let_59 (= tptp.t3 _let_20))) (let ((_let_60 (= tptp.t4 _let_17))) (let ((_let_61 (= tptp.t5 _let_14))) (let ((_let_62 (= tptp.t6 _let_11))) (let ((_let_63 (= tptp.carry _let_3))) (let ((_let_64 (= _let_30 (tptp.or tptp.b tptp.a)))) (let ((_let_65 (tptp.or _let_29 _let_31))) (let ((_let_66 (= _let_32 _let_65))) (let ((_let_67 (tptp.and tptp.b tptp.a))) (let ((_let_68 (= _let_25 _let_67))) (let ((_let_69 (tptp.and tptp.t1 tptp.a))) (let ((_let_70 (= _let_22 _let_69))) (let ((_let_71 (= _let_19 (tptp.and tptp.t1 tptp.b)))) (let ((_let_72 (tptp.and _let_25 _let_28))) (let ((_let_73 (= _let_29 _let_72))) (let ((_let_74 (tptp.and tptp.cin tptp.t4))) (let ((_let_75 (= _let_13 _let_74))) (let ((_let_76 (tptp.and tptp.t5 tptp.t4))) (let ((_let_77 (= _let_10 _let_76))) (let ((_let_78 (tptp.or tptp.cin _let_28))) (let ((_let_79 (= tptp.ll1 _let_78))) (let ((_let_80 (= tptp.ll1 (tptp.or _let_22 _let_23)))) (let ((_let_81 (= tptp.ll1 (tptp.or _let_13 _let_14)))) (let ((_let_82 (tptp.and _let_25 _let_26))) (let ((_let_83 (= tptp.ll0 _let_82))) (let ((_let_84 (= tptp.ll0 (tptp.and _let_19 _let_20)))) (let ((_let_85 (tptp.and _let_16 _let_17))) (let ((_let_86 (= tptp.ll0 _let_85))) (let ((_let_87 (tptp.and _let_13 _let_14))) (let ((_let_88 (= tptp.ll0 _let_87))) (let ((_let_89 (tptp.or tptp.a _let_25))) (let ((_let_90 (= tptp.a _let_89))) (let ((_let_91 (tptp.or tptp.a _let_22))) (let ((_let_92 (= tptp.a _let_91))) (let ((_let_93 (tptp.or tptp.b _let_19))) (let ((_let_94 (= tptp.b _let_93))) (let ((_let_95 (tptp.or tptp.t1 _let_2))) (let ((_let_96 (= tptp.t1 _let_95))) (let ((_let_97 (= tptp.t2 (tptp.or tptp.t2 _let_16)))) (let ((_let_98 (tptp.or tptp.t4 _let_13))) (let ((_let_99 (= tptp.t4 _let_98))) (let ((_let_100 (tptp.or tptp.t4 _let_10))) (let ((_let_101 (= tptp.t4 _let_100))) (let ((_let_102 (tptp.and tptp.a _let_30))) (let ((_let_103 (= tptp.a _let_102))) (let ((_let_104 (tptp.or _let_22 _let_19))) (let ((_let_105 (tptp.not _let_104))) (let ((_let_106 (= _let_105 (tptp.and _let_23 _let_20)))) (let ((_let_107 (tptp.or _let_16 _let_13))) (let ((_let_108 (tptp.not _let_107))) (let ((_let_109 (= _let_108 (tptp.and _let_17 _let_14)))) (let ((_let_110 (tptp.or _let_25 _let_13))) (let ((_let_111 (tptp.not _let_110))) (let ((_let_112 (= _let_111 (tptp.and _let_26 _let_14)))) (let ((_let_113 (tptp.not tptp.b))) (let ((_let_114 (tptp.not tptp.a))) (let ((_let_115 (tptp.or _let_114 _let_113))) (let ((_let_116 (= _let_26 _let_115))) (let ((_let_117 (tptp.not tptp.t1))) (let ((_let_118 (tptp.or _let_114 _let_117))) (let ((_let_119 (= _let_23 _let_118))) (let ((_let_120 (tptp.or _let_113 _let_117))) (let ((_let_121 (= _let_20 _let_120))) (let ((_let_122 (tptp.not _let_28))) (let ((_let_123 (tptp.or _let_122 _let_26))) (let ((_let_124 (tptp.not _let_29))) (let ((_let_125 (= _let_124 _let_123))) (let ((_let_126 (tptp.not tptp.t4))) (let ((_let_127 (tptp.or _let_126 _let_28))) (let ((_let_128 (= _let_14 _let_127))) (let ((_let_129 (tptp.or _let_25 tptp.a))) (let ((_let_130 (= _let_89 _let_129))) (let ((_let_131 (tptp.or _let_13 tptp.t4))) (let ((_let_132 (= _let_98 _let_131))) (let ((_let_133 (= _let_107 (tptp.or _let_13 _let_16)))) (let ((_let_134 (tptp.or _let_113 _let_114))) (let ((_let_135 (= _let_115 _let_134))) (let ((_let_136 (= _let_118 (tptp.or _let_117 _let_114)))) (let ((_let_137 (tptp.or _let_117 _let_113))) (let ((_let_138 (= _let_120 _let_137))) (let ((_let_139 (= _let_104 (tptp.or _let_19 _let_22)))) (let ((_let_140 (tptp.not tptp.t2))) (let ((_let_141 (tptp.and _let_140 _let_19))) (let ((_let_142 (tptp.and tptp.t2 _let_20))) (let ((_let_143 (tptp.or _let_141 _let_142))) (let ((_let_144 (= _let_143 (tptp.or _let_142 _let_141)))) (let ((_let_145 (tptp.and _let_117 _let_13))) (let ((_let_146 (tptp.and tptp.t1 _let_14))) (let ((_let_147 (tptp.or _let_145 _let_146))) (let ((_let_148 (= _let_147 (tptp.or _let_146 _let_145)))) (let ((_let_149 (tptp.and tptp.b _let_114))) (let ((_let_150 (tptp.and _let_114 tptp.b))) (let ((_let_151 (= _let_150 _let_149))) (let ((_let_152 (tptp.and _let_25 _let_113))) (let ((_let_153 (tptp.and _let_113 _let_25))) (let ((_let_154 (= _let_153 _let_152))) (let ((_let_155 (= _let_141 (tptp.and _let_19 _let_140)))) (let ((_let_156 (tptp.and _let_14 _let_13))) (let ((_let_157 (= _let_87 _let_156))) (let ((_let_158 (tptp.or _let_117 _let_16))) (let ((_let_159 (tptp.or _let_114 _let_158))) (let ((_let_160 (= (tptp.or _let_118 _let_16) _let_159))) (let ((_let_161 (= _let_82 (tptp.and tptp.a (tptp.and tptp.b _let_26))))) (let ((_let_162 (tptp.and tptp.b _let_28))) (let ((_let_163 (tptp.and tptp.a _let_162))) (let ((_let_164 (= _let_72 _let_163))) (let ((_let_165 (tptp.and _let_114 tptp.a))) (let ((_let_166 (tptp.and _let_165 tptp.b))) (let ((_let_167 (tptp.and _let_114 _let_25))) (let ((_let_168 (= _let_167 _let_166))) (let ((_let_169 (= (tptp.and tptp.a _let_93) (tptp.or _let_25 (tptp.and tptp.a _let_19))))) (let ((_let_170 (tptp.and tptp.b _let_113))) (let ((_let_171 (= (tptp.and tptp.b _let_115) (tptp.or _let_149 _let_170)))) (let ((_let_172 (tptp.or _let_25 tptp.t4))) (let ((_let_173 (tptp.or _let_25 tptp.cin))) (let ((_let_174 (tptp.and _let_173 _let_172))) (let ((_let_175 (= (tptp.or _let_25 _let_74) _let_174))) (let ((_let_176 (tptp.or tptp.b tptp.t1))) (let ((_let_177 (tptp.or tptp.b tptp.b))) (let ((_let_178 (tptp.and _let_177 _let_176))) (let ((_let_179 (= _let_93 _let_178))) (let ((_let_180 (tptp.or tptp.a tptp.a))) (let ((_let_181 (tptp.or tptp.a tptp.t1))) (let ((_let_182 (tptp.and _let_181 _let_180))) (let ((_let_183 (= (tptp.or tptp.a _let_69) _let_182))) (let ((_let_184 (tptp.or _let_29 _let_30))) (let ((_let_185 (tptp.or _let_29 tptp.cin))) (let ((_let_186 (tptp.and _let_185 _let_184))) (let ((_let_187 (= _let_65 _let_186))) (let ((_let_188 (= tptp.ll1 (tptp.or tptp.a _let_114)))) (let ((_let_189 (tptp.and tptp.a _let_114))) (let ((_let_190 (= tptp.ll0 _let_189))) (let ((_let_191 (= tptp.ll0 _let_170))) (let ((_let_192 (tptp.and tptp.t4 _let_126))) (let ((_let_193 (= tptp.ll0 _let_192))) (let ((_let_194 (= _let_104 (tptp.not _let_105)))) (let ((_let_195 (= _let_107 (tptp.not _let_108)))) (let ((_let_196 (= _let_110 (tptp.not _let_111)))) (let ((_let_197 (tptp.not _let_26))) (let ((_let_198 (= _let_25 _let_197))) (let ((_let_199 (tptp.not _let_23))) (let ((_let_200 (= _let_22 _let_199))) (let ((_let_201 (= _let_13 (tptp.not _let_14)))) (let ((_let_202 (tptp.not _let_20))) (let ((_let_203 (= _let_19 _let_202))) (let ((_let_204 (= tptp.cin _let_122))) (let ((_let_205 (= tptp.a (tptp.or tptp.a _let_102)))) (let ((_let_206 (tptp.or tptp.b _let_67))) (let ((_let_207 (= tptp.b _let_206))) (let ((_let_208 (= tptp.cin (tptp.or tptp.cin _let_74)))) (let ((_let_209 (tptp.and tptp.cin tptp.t5))) (let ((_let_210 (tptp.or tptp.cin _let_209))) (let ((_let_211 (= tptp.cin _let_210))) (let ((_let_212 (= _let_16 (tptp.or _let_16 _let_85)))) (let ((_let_213 (tptp.or tptp.t5 _let_76))) (let ((_let_214 (= tptp.t5 _let_213))) (let ((_let_215 (tptp.or _let_113 _let_153))) (let ((_let_216 (= _let_113 _let_215))) (let ((_let_217 (= _let_13 (tptp.or _let_13 _let_87)))) (let ((_let_218 (= tptp.a (tptp.and tptp.a _let_89)))) (let ((_let_219 (tptp.and tptp.b _let_93))) (let ((_let_220 (= tptp.b _let_219))) (let ((_let_221 (= tptp.cin (tptp.and tptp.cin _let_78)))) (let ((_let_222 (tptp.and tptp.t1 _let_95))) (let ((_let_223 (= tptp.t1 _let_222))) (let ((_let_224 (= tptp.t4 (tptp.and tptp.t4 _let_98)))) (let ((_let_225 (= _let_16 (tptp.and _let_16 _let_107)))) (let ((_let_226 (= _let_126 (tptp.and _let_126 _let_127)))) (let ((_let_227 (tptp.and _let_141 _let_143))) (let ((_let_228 (= _let_141 _let_227))) (let ((_let_229 (tptp.and tptp.t4 _let_14))) (let ((_let_230 (tptp.and _let_126 _let_13))) (let ((_let_231 (= _let_230 (tptp.and _let_230 (tptp.or _let_230 _let_229))))) (let ((_let_232 (tptp.and tptp.a _let_113))) (let ((_let_233 (tptp.or _let_150 _let_232))) (let ((_let_234 (= _let_150 (tptp.and _let_150 _let_233)))) (let ((_let_235 (tptp.not tptp.t5))) (let ((_let_236 (tptp.and _let_25 _let_235))) (let ((_let_237 (tptp.not _let_236))) (let ((_let_238 (tptp.and _let_26 tptp.t5))) (let ((_let_239 (tptp.not _let_238))) (let ((_let_240 (= (tptp.not (tptp.or _let_238 _let_236)) (tptp.and _let_239 _let_237)))) (let ((_let_241 (tptp.not _let_113))) (let ((_let_242 (tptp.not _let_114))) (let ((_let_243 (tptp.and _let_242 _let_241))) (let ((_let_244 (= (tptp.not _let_115) _let_243))) (let ((_let_245 (tptp.not _let_117))) (let ((_let_246 (tptp.and _let_242 _let_245))) (let ((_let_247 (= (tptp.not _let_118) _let_246))) (let ((_let_248 (= (tptp.not _let_120) (tptp.and _let_241 _let_245)))) (let ((_let_249 (= (tptp.not _let_123) (tptp.and (tptp.not _let_122) _let_197)))) (let ((_let_250 (tptp.not _let_145))) (let ((_let_251 (= (tptp.not _let_147) (tptp.and _let_250 (tptp.not _let_146))))) (let ((_let_252 (tptp.not _let_235))) (let ((_let_253 (= _let_237 (tptp.or _let_26 _let_252)))) (let ((_let_254 (= (tptp.not (tptp.and _let_16 _let_235)) (tptp.or _let_17 _let_252)))) (let ((_let_255 (tptp.or _let_242 _let_26))) (let ((_let_256 (= (tptp.not _let_167) _let_255))) (let ((_let_257 (tptp.or _let_241 _let_26))) (let ((_let_258 (= (tptp.not _let_153) _let_257))) (let ((_let_259 (= _let_181 (tptp.or tptp.t1 tptp.a)))) (let ((_let_260 (tptp.or tptp.cin _let_25))) (let ((_let_261 (= _let_173 _let_260))) (let ((_let_262 (tptp.or tptp.cin _let_29))) (let ((_let_263 (= _let_185 _let_262))) (let ((_let_264 (tptp.not _let_126))) (let ((_let_265 (= (tptp.or _let_264 _let_14) (tptp.or _let_14 _let_264)))) (let ((_let_266 (tptp.or _let_22 tptp.b))) (let ((_let_267 (= _let_266 (tptp.or tptp.b _let_22)))) (let ((_let_268 (tptp.or _let_22 _let_114))) (let ((_let_269 (= _let_268 (tptp.or _let_114 _let_22)))) (let ((_let_270 (= _let_255 (tptp.or _let_26 _let_242)))) (let ((_let_271 (= _let_257 (tptp.or _let_26 _let_241)))) (let ((_let_272 (tptp.and tptp.a _let_23))) (let ((_let_273 (= _let_272 (tptp.and _let_23 tptp.a)))) (let ((_let_274 (= _let_165 _let_189))) (let ((_let_275 (= (tptp.and tptp.b _let_22) (tptp.and _let_22 tptp.b)))) (let ((_let_276 (tptp.and tptp.t1 _let_19))) (let ((_let_277 (= _let_276 (tptp.and _let_19 tptp.t1)))) (let ((_let_278 (= (tptp.and tptp.t2 _let_117) (tptp.and _let_117 tptp.t2)))) (let ((_let_279 (tptp.and _let_117 tptp.t3))) (let ((_let_280 (= (tptp.and tptp.t3 _let_117) _let_279))) (let ((_let_281 (tptp.and tptp.t3 _let_114))) (let ((_let_282 (= _let_281 (tptp.and _let_114 tptp.t3)))) (let ((_let_283 (tptp.and tptp.t4 _let_11))) 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(tptp.and _let_126 _let_14) _let_13) (tptp.and _let_126 _let_156)))) (let ((_let_300 (= (tptp.and _let_246 _let_19) (tptp.and _let_242 (tptp.and _let_245 _let_19))))) (let ((_let_301 (= (tptp.and _let_243 _let_26) (tptp.and _let_242 (tptp.and _let_241 _let_26))))) (let ((_let_302 (= (tptp.and _let_222 tptp.b) (tptp.and tptp.t1 (tptp.and _let_95 tptp.b))))) (let ((_let_303 (= (tptp.and _let_222 tptp.a) (tptp.and tptp.t1 (tptp.and _let_95 tptp.a))))) (let ((_let_304 (tptp.and tptp.t1 _let_22))) (let ((_let_305 (= (tptp.and _let_19 _let_22) (tptp.and tptp.b _let_304)))) (let ((_let_306 (= _let_152 (tptp.and tptp.a _let_170)))) (let ((_let_307 (= (tptp.and _let_219 _let_113) (tptp.and tptp.b (tptp.and _let_93 _let_113))))) (let ((_let_308 (= (tptp.and (tptp.and tptp.a _let_91) _let_114) (tptp.and tptp.a (tptp.and _let_91 _let_114))))) (let ((_let_309 (= (tptp.and _let_25 _let_93) (tptp.and tptp.a _let_219)))) (let ((_let_310 (tptp.and _let_250 _let_173))) (let ((_let_311 (tptp.and _let_310 _let_172))) (let ((_let_312 (= _let_311 (tptp.and _let_250 _let_174)))) (let ((_let_313 (tptp.and _let_114 _let_19))) (let ((_let_314 (= _let_313 (tptp.and _let_150 tptp.t1)))) (let ((_let_315 (tptp.and tptp.t1 tptp.t2))) (let ((_let_316 (= (tptp.and _let_315 tptp.t3) (tptp.and tptp.t1 _let_16)))) (let ((_let_317 (= (tptp.and (tptp.and tptp.t2 tptp.a) tptp.b) (tptp.and tptp.t2 _let_25)))) (let ((_let_318 (= _let_149 (tptp.or _let_149 tptp.ll0)))) (let ((_let_319 (= _let_3 (tptp.and _let_3 tptp.ll1)))) (let ((_let_320 (= _let_290 (tptp.and tptp.cin (tptp.or tptp.t5 tptp.t4))))) (let ((_let_321 (= (tptp.and _let_242 (tptp.or _let_245 _let_241)) (tptp.or _let_246 _let_243)))) (let ((_let_322 (= _let_158 (tptp.and (tptp.or _let_117 tptp.t2) (tptp.or _let_117 tptp.t3))))) (let ((_let_323 (= (tptp.or _let_25 _let_189) (tptp.and _let_129 (tptp.or _let_25 _let_114))))) (let ((_let_324 (= (tptp.or _let_113 (tptp.and _let_114 _let_117)) (tptp.and _let_134 _let_120)))) (let ((_let_325 (= (tptp.or _let_13 _let_192) (tptp.and _let_131 (tptp.or _let_13 _let_126))))) (let ((_let_326 (= tptp.a _let_242))) (let ((_let_327 (= tptp.b _let_241))) (let ((_let_328 (tptp.or tptp.a _let_163))) (let ((_let_329 (= tptp.a _let_328))) (let ((_let_330 (= _let_117 (tptp.and _let_117 _let_137)))) (let ((_let_331 (= (tptp.and _let_20 _let_114) (tptp.not (tptp.or _let_19 tptp.a))))) (let ((_let_332 (= (tptp.and _let_23 _let_26) (tptp.not (tptp.or _let_22 _let_25))))) (let ((_let_333 (= (tptp.not _let_272) (tptp.or _let_114 _let_199)))) (let ((_let_334 (= (tptp.not (tptp.and tptp.t1 _let_28)) (tptp.or _let_117 _let_122)))) (let ((_let_335 (= (tptp.not (tptp.and tptp.t1 _let_20)) (tptp.or _let_117 _let_202)))) (let ((_let_336 (= (tptp.or _let_117 _let_20) (tptp.not _let_276)))) (let ((_let_337 (= (tptp.not (tptp.and tptp.t1 _let_126)) (tptp.or _let_117 _let_264)))) (let ((_let_338 (= (tptp.or _let_117 _let_23) (tptp.not _let_304)))) (let ((_let_339 (tptp.not tptp.t3))) (let ((_let_340 (= (tptp.or _let_339 _let_242) (tptp.not _let_281)))) (let ((_let_341 (= (tptp.not _let_283) (tptp.or _let_126 (tptp.not _let_11))))) (let ((_let_342 (= (tptp.or _let_242 _let_20) (tptp.not _let_313)))) (let ((_let_343 (= (tptp.not (tptp.and _let_124 _let_28)) (tptp.or (tptp.not _let_124) _let_122)))) (let ((_let_344 (= tptp.carry_def tptp.carry))) (let ((_let_345 (= _let_328 (tptp.or _let_163 tptp.a)))) (let ((_let_346 (= _let_296 (tptp.or _let_67 _let_266)))) (let ((_let_347 (= _let_315 (tptp.and tptp.t2 tptp.t1)))) (let ((_let_348 (= _let_311 (tptp.and _let_172 _let_310)))) (let ((_let_349 (tptp.and tptp.t1 _let_339))) (let ((_let_350 (tptp.or _let_279 _let_349))) (let ((_let_351 (= (tptp.or _let_350 tptp.a) (tptp.or _let_279 (tptp.or _let_349 tptp.a))))) (let ((_let_352 (= (tptp.or _let_350 _let_22) (tptp.or _let_279 (tptp.or _let_349 _let_22))))) (let ((_let_353 (tptp.and tptp.t4 _let_108))) (let ((_let_354 (tptp.and _let_126 _let_107))) (let ((_let_355 (= (tptp.or (tptp.or _let_245 _let_354) _let_353) (tptp.or _let_245 (tptp.or _let_354 _let_353))))) (let ((_let_356 (= _let_262 (tptp.and _let_78 _let_260)))) (let ((_let_357 (SYMM (ASSUME :args (_let_43))))) (let ((_let_358 (SYMM (ASSUME :args (_let_33))))) (let ((_let_359 (SYMM (ASSUME :args (_let_27))))) (let ((_let_360 (SYMM (ASSUME :args (_let_24))))) (let ((_let_361 (SYMM (ASSUME :args (_let_21))))) (let ((_let_362 (SYMM (ASSUME :args (_let_18))))) (let ((_let_363 (SYMM (ASSUME :args (_let_15))))) (let ((_let_364 (SYMM (ASSUME :args (_let_12))))) (let ((_let_365 (SYMM (ASSUME :args (_let_4))))) (let ((_let_366 (_let_54))) (let ((_let_367 (ASSUME :args _let_366))) (let ((_let_368 ((tptp.or X Y)))) (let ((_let_369 (_let_53))) (let ((_let_370 (ASSUME :args _let_369))) (let ((_let_371 ((tptp.and X Y)))) (let ((_let_372 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_370 :args (tptp.t4 tptp.cin QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_371)) :args _let_369)) _let_370 :args (_let_75 false _let_53)))) (let ((_let_373 (forall ((X $$unsorted)) (= tptp.ll1 (tptp.or X (tptp.not X)))))) (let ((_let_374 (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO :args (_let_46 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_375 (_let_373))) (let ((_let_376 ((tptp.not X)))) (let ((_let_377 (forall ((X $$unsorted)) (= tptp.ll0 (tptp.and X (tptp.not X)))))) (let ((_let_378 (EQ_RESOLVE (ASSUME :args (_let_45)) (MACRO_SR_EQ_INTRO :args (_let_45 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_379 (_let_377))) (let ((_let_380 ((tptp.not X)))) (let ((_let_381 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_378 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_380)) :args _let_379)) _let_378 :args (_let_84 false _let_377)))) (let ((_let_382 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.or X (tptp.and X Y)))))) (let ((_let_383 (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_384 (_let_382))) (let ((_let_385 ((tptp.and X Y)))) (let ((_let_386 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_383 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_385)) :args _let_384)) _let_383 :args (_let_90 false _let_382)))) (let ((_let_387 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_383 :args (tptp.a tptp.t1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_385)) :args _let_384)) _let_383 :args (_let_92 false _let_382)))) (let ((_let_388 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.and X (tptp.or X Y)))))) (let ((_let_389 (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_390 (_let_388))) (let ((_let_391 ((tptp.or X Y)))) (let ((_let_392 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_389 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_391)) :args _let_390)) _let_389 :args (_let_103 false _let_388)))) (let ((_let_393 (_let_39))) (let ((_let_394 (ASSUME :args _let_393))) (let ((_let_395 ((tptp.and (tptp.not X) (tptp.not Y))))) (let ((_let_396 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_394 :args (_let_22 _let_19 QUANTIFIERS_INST_E_MATCHING _let_395)) :args _let_393)) _let_394 :args (_let_106 false _let_39)))) (let ((_let_397 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_394 :args (_let_16 _let_13 QUANTIFIERS_INST_E_MATCHING _let_395)) :args _let_393)) _let_394 :args (_let_109 false _let_39)))) (let ((_let_398 (_let_38))) (let ((_let_399 (ASSUME :args _let_398))) (let ((_let_400 ((tptp.and X Y)))) (let ((_let_401 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_399 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_400)) :args _let_398)) _let_399 :args (_let_116 false _let_38)))) (let ((_let_402 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_399 :args (tptp.t4 tptp.cin QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_400)) :args _let_398)) _let_399 :args (_let_128 false _let_38)))) (let ((_let_403 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_367 :args (_let_16 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_368)) :args _let_366)) _let_367 :args (_let_133 false _let_54)))) (let ((_let_404 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_367 :args (_let_22 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_368)) :args _let_366)) _let_367 :args (_let_139 false _let_54)))) (let ((_let_405 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_370 :args (_let_114 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_371)) :args _let_369)) _let_370 :args (_let_151 false _let_53)))) (let ((_let_406 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_370 :args (_let_113 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_371)) :args _let_369)) _let_370 :args (_let_154 false _let_53)))) (let ((_let_407 (_let_52))) (let ((_let_408 (ASSUME :args _let_407))) (let ((_let_409 ((tptp.or (tptp.or X Y) Z)))) (let ((_let_410 (_let_51))) (let ((_let_411 (ASSUME :args _let_410))) (let ((_let_412 ((tptp.and (tptp.and X Y) Z)))) (let ((_let_413 ((tptp.and X (tptp.and Y Z))))) (let ((_let_414 (_let_48))) (let ((_let_415 (ASSUME :args _let_414))) (let ((_let_416 ((tptp.and X (tptp.or Y Z))))) (let ((_let_417 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (tptp.b _let_114 _let_113 QUANTIFIERS_INST_E_MATCHING _let_416)) :args _let_414)) _let_415 :args (_let_171 false _let_48)))) (let ((_let_418 (_let_47))) (let ((_let_419 (ASSUME :args _let_418))) (let ((_let_420 ((tptp.or X (tptp.and Y Z))))) (let ((_let_421 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_378 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_380)) :args _let_379)) _let_378 :args (_let_190 false _let_377)))) (let ((_let_422 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_378 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_380)) :args _let_379)) _let_378 :args (_let_191 false _let_377)))) (let ((_let_423 (forall ((X $$unsorted)) (= X (tptp.not (tptp.not X)))))) (let ((_let_424 (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_425 (_let_423))) (let ((_let_426 ((tptp.not (tptp.not X))))) (let ((_let_427 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_424 :args (_let_104 QUANTIFIERS_INST_E_MATCHING _let_426)) :args _let_425)) _let_424 :args (_let_194 false _let_423)))) (let ((_let_428 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_424 :args (_let_107 QUANTIFIERS_INST_E_MATCHING _let_426)) :args _let_425)) _let_424 :args (_let_195 false _let_423)))) (let ((_let_429 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_424 :args (tptp.cin QUANTIFIERS_INST_E_MATCHING _let_426)) :args _let_425)) _let_424 :args (_let_204 false _let_423)))) (let ((_let_430 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_383 :args (_let_113 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_385)) :args _let_384)) _let_383 :args (_let_216 false _let_382)))) (let ((_let_431 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_389 :args (tptp.a _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_391)) :args _let_390)) _let_389 :args (_let_218 false _let_388)))) (let ((_let_432 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_389 :args (_let_150 _let_232 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_391)) :args _let_390)) _let_389 :args (_let_234 false _let_388)))) (let ((_let_433 ((tptp.or X Y)))) (let ((_let_434 ((tptp.or X (tptp.or Y Z))))) (let ((_let_435 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_411 :args (tptp.a tptp.b _let_113 QUANTIFIERS_INST_E_MATCHING _let_412)) :args _let_410)) _let_411 :args (_let_306 false _let_51)))) (let ((_let_436 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_411 :args (tptp.a _let_91 _let_114 QUANTIFIERS_INST_E_MATCHING _let_412)) :args _let_410)) _let_411 :args (_let_308 false _let_51)))) (let 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_443 :args (_let_449 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_445)) :args _let_444)) _let_443 :args (_let_452 false _let_442)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_415 :args (tptp.a _let_113 _let_153 QUANTIFIERS_INST_E_MATCHING _let_416)) :args _let_414)) _let_415 :args (_let_451 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_394 :args (_let_16 tptp.cin QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_433)) :args _let_393)) _let_394 :args (_let_450 false _let_39)) :args (_let_448 false _let_55 false _let_488 false _let_57 false _let_58 false _let_59 false _let_60 false _let_61 false _let_62 false _let_487 false _let_486 false _let_75 false _let_485 false _let_484 false _let_483 false _let_84 false _let_90 false _let_92 false _let_482 false _let_103 false _let_106 false _let_109 false _let_481 false _let_116 false _let_480 false _let_128 false _let_479 false _let_478 false _let_133 false _let_139 false _let_477 false _let_476 false _let_151 false _let_154 false _let_474 false _let_473 false _let_472 false _let_171 false _let_471 false _let_467 false _let_465 false _let_190 false _let_191 false _let_194 false _let_195 false _let_464 false _let_204 false _let_216 false _let_218 false _let_461 false _let_234 false _let_458 false _let_457 false _let_455 false _let_306 false _let_308 false _let_318 false _let_454 false _let_452 false _let_451 false _let_450)) :args ((not _let_344) false _let_448)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_399 :args (_let_124 _let_28 QUANTIFIERS_INST_E_MATCHING ((tptp.or (tptp.not X) (tptp.not Y))))) :args _let_398)) _let_399 :args (_let_343 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_399 :args (_let_114 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_400)) :args _let_398))) _let_399 :args (_let_342 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_399 :args (tptp.t1 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_400)) :args _let_398)) _let_399 :args (_let_335 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_399 :args (tptp.t1 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_400)) :args _let_398)) _let_399 :args (_let_334 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_399 :args (tptp.a _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_400)) :args _let_398)) _let_399 :args (_let_333 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_394 :args (_let_22 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_433)) :args _let_393))) _let_394 :args (_let_332 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_394 :args (_let_19 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_433)) :args _let_393))) _let_394 :args (_let_331 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_389 :args (_let_117 _let_113 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_391)) :args _let_390)) _let_389 :args (_let_330 false _let_388)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_383 :args (tptp.a _let_162 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_385)) :args _let_384)) _let_383 :args (_let_329 false _let_382)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_424 :args (tptp.b QUANTIFIERS_INST_E_MATCHING _let_426)) :args _let_425)) _let_424 :args (_let_327 false _let_423)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_424 :args (tptp.a QUANTIFIERS_INST_E_MATCHING _let_426)) :args _let_425)) _let_424 :args (_let_326 false _let_423)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_419 :args (_let_13 tptp.t4 _let_126 QUANTIFIERS_INST_E_MATCHING _let_447)) :args _let_418)) _let_419 :args (_let_325 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE 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false _let_289 false _let_288 false _let_287 false _let_286 false _let_285 false _let_284 false _let_282 false _let_280 false _let_278 false _let_277 false _let_275 false _let_274 false _let_273 false _let_271 false _let_270 false _let_269 false _let_267 false _let_265 false _let_263 false _let_261 false _let_259 false _let_258 false _let_256 false _let_254 false _let_253 false _let_251 false _let_249 false _let_248 false _let_247 false _let_244 false _let_240 false _let_234 false _let_231 false _let_228 false _let_226 false _let_225 false _let_224 false _let_223 false _let_221 false _let_220 false _let_218 false _let_217 false _let_216 false _let_214 false _let_212 false _let_211 false _let_208 false _let_207 false _let_205 false _let_204 false _let_203 false _let_201 false _let_200 false _let_198 false _let_196 false _let_195 false _let_194 false _let_193 false _let_191 false _let_190 false _let_188 false _let_187 false _let_183 false _let_179 false _let_175 false _let_171 false 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_let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 5.42/5.66 )
% 5.49/5.68 % SZS output end Proof for HWV003-2
% 5.49/5.68 % cvc5---1.0.5 exiting
% 5.49/5.68 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------