TSTP Solution File: RNG008-7 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : RNG008-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.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 13:49:27 EDT 2023

% Result   : Unsatisfiable 12.39s 12.74s
% Output   : Proof 12.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : RNG008-7 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n031.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun Aug 27 02:32:08 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.52  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.p3qVk2pNrO/cvc5---1.0.5_2168.p...
% 0.21/0.52  ------- get file name : TPTP file name is RNG008-7
% 0.21/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2168.smt2...
% 0.21/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.64/10.85  --- Run --no-e-matching --full-saturate-quant at 5...
% 12.39/12.74  % SZS status Unsatisfiable for RNG008-7
% 12.39/12.74  % SZS output start Proof for RNG008-7
% 12.39/12.75  (
% 12.39/12.75  (let ((_let_1 (tptp.multiply tptp.b tptp.a))) (let ((_let_2 (not (= _let_1 tptp.c)))) (let ((_let_3 (tptp.multiply tptp.a tptp.b))) (let ((_let_4 (= _let_3 tptp.c))) (let ((_let_5 (forall ((X $$unsorted)) (= (tptp.multiply X X) X)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.add X Y) Z) (tptp.add (tptp.multiply X Z) (tptp.multiply Y Z)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.add Y Z)) (tptp.add (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.add X Y) (tptp.add Y X))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.add X (tptp.add Y Z)) (tptp.add (tptp.add X Y) Z))))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.add X (tptp.additive_inverse X)) tptp.additive_identity)))) (let ((_let_11 (forall ((X $$unsorted)) (= (tptp.add (tptp.additive_inverse X) X) tptp.additive_identity)))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.add X tptp.additive_identity) X)))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.add tptp.additive_identity X) X)))) (let ((_let_14 (= _let_3 _let_1))) (let ((_let_15 (tptp.add tptp.additive_identity tptp.additive_identity))) (let ((_let_16 (= tptp.additive_identity _let_15))) (let ((_let_17 (tptp.add tptp.additive_identity tptp.a))) (let ((_let_18 (= _let_17 (tptp.add tptp.a tptp.additive_identity)))) (let ((_let_19 (tptp.multiply tptp.additive_identity tptp.additive_identity))) (let ((_let_20 (= tptp.additive_identity _let_19))) (let ((_let_21 (= tptp.a _let_17))) (let ((_let_22 (tptp.add tptp.b tptp.additive_identity))) (let ((_let_23 (= tptp.b _let_22))) (let ((_let_24 (tptp.add tptp.additive_identity tptp.b))) (let ((_let_25 (= tptp.b _let_24))) (let ((_let_26 (tptp.additive_inverse tptp.b))) (let ((_let_27 (= tptp.additive_identity (tptp.add _let_26 tptp.b)))) (let ((_let_28 (tptp.add tptp.b _let_26))) (let ((_let_29 (= tptp.additive_identity _let_28))) (let ((_let_30 (tptp.multiply tptp.b tptp.b))) (let ((_let_31 (= tptp.b _let_30))) (let ((_let_32 (= _let_26 (tptp.add _let_26 tptp.additive_identity)))) (let ((_let_33 (tptp.add tptp.additive_identity _let_26))) (let ((_let_34 (= _let_26 _let_33))) (let ((_let_35 (tptp.additive_inverse tptp.a))) (let ((_let_36 (tptp.add _let_35 tptp.a))) (let ((_let_37 (= tptp.additive_identity _let_36))) (let ((_let_38 (tptp.add tptp.a _let_35))) (let ((_let_39 (= tptp.additive_identity _let_38))) (let ((_let_40 (tptp.add _let_24 tptp.b))) (let ((_let_41 (tptp.add tptp.b tptp.b))) (let ((_let_42 (tptp.add tptp.additive_identity _let_41))) (let ((_let_43 (= _let_42 _let_40))) (let ((_let_44 (tptp.multiply tptp.additive_identity tptp.b))) (let ((_let_45 (= (tptp.multiply tptp.additive_identity _let_22) (tptp.add _let_44 _let_19)))) (let ((_let_46 (tptp.multiply tptp.a tptp.a))) (let ((_let_47 (= tptp.a _let_46))) (let ((_let_48 (= _let_35 (tptp.add _let_35 tptp.additive_identity)))) (let ((_let_49 (= (tptp.add tptp.b _let_22) (tptp.add _let_41 tptp.additive_identity)))) (let ((_let_50 (= (tptp.multiply _let_24 tptp.b) (tptp.add _let_44 _let_30)))) (let ((_let_51 (= (tptp.add _let_44 _let_28) (tptp.add (tptp.add _let_44 tptp.b) _let_26)))) (let ((_let_52 (tptp.multiply tptp.b tptp.additive_identity))) (let ((_let_53 (= _let_52 (tptp.add _let_52 tptp.additive_identity)))) (let ((_let_54 (tptp.add _let_35 tptp.b))) (let ((_let_55 (tptp.add tptp.b _let_35))) (let ((_let_56 (= _let_55 _let_54))) (let ((_let_57 (tptp.multiply _let_26 _let_26))) (let ((_let_58 (= _let_26 _let_57))) (let ((_let_59 (tptp.additive_inverse _let_41))) (let ((_let_60 (tptp.add _let_41 _let_59))) (let ((_let_61 (= tptp.additive_identity _let_60))) (let ((_let_62 (= (tptp.multiply tptp.b _let_24) (tptp.add _let_52 _let_30)))) (let ((_let_63 (= _let_41 (tptp.multiply _let_41 _let_41)))) (let ((_let_64 (= (tptp.add _let_52 _let_28) (tptp.add (tptp.add _let_52 tptp.b) _let_26)))) (let ((_let_65 (= _let_55 (tptp.add _let_55 tptp.additive_identity)))) (let ((_let_66 (tptp.multiply _let_41 tptp.b))) (let ((_let_67 (= (tptp.add _let_30 _let_30) _let_66))) (let ((_let_68 (= _let_55 (tptp.multiply _let_55 _let_55)))) (let ((_let_69 (tptp.add tptp.b _let_55))) (let ((_let_70 (= _let_69 (tptp.add _let_41 _let_35)))) (let ((_let_71 (= _let_59 (tptp.add _let_59 tptp.additive_identity)))) (let ((_let_72 (tptp.multiply tptp.additive_identity _let_35))) (let ((_let_73 (tptp.add _let_72 _let_72))) (let ((_let_74 (= (tptp.multiply _let_15 _let_35) _let_73))) (let ((_let_75 (tptp.add _let_35 _let_35))) (let ((_let_76 (tptp.additive_inverse _let_75))) (let ((_let_77 (tptp.add _let_75 _let_76))) (let ((_let_78 (= tptp.additive_identity _let_77))) (let ((_let_79 (= (tptp.add tptp.a _let_41) (tptp.add _let_41 tptp.a)))) (let ((_let_80 (tptp.multiply tptp.additive_identity _let_55))) (let ((_let_81 (= _let_80 (tptp.add _let_44 _let_72)))) (let ((_let_82 (= _let_76 (tptp.add tptp.additive_identity _let_76)))) (let ((_let_83 (tptp.add _let_41 _let_26))) (let ((_let_84 (tptp.add _let_26 _let_41))) (let ((_let_85 (= _let_84 _let_83))) (let ((_let_86 (= _let_83 (tptp.add tptp.b _let_28)))) (let ((_let_87 (tptp.multiply tptp.b _let_35))) (let ((_let_88 (= _let_87 (tptp.add tptp.additive_identity _let_87)))) (let ((_let_89 (tptp.additive_inverse _let_72))) (let ((_let_90 (tptp.add _let_89 _let_72))) (let ((_let_91 (= tptp.additive_identity _let_90))) (let ((_let_92 (= (tptp.add _let_89 _let_73) (tptp.add _let_90 _let_72)))) (let ((_let_93 (tptp.add _let_55 tptp.a))) (let ((_let_94 (tptp.add tptp.a _let_55))) (let ((_let_95 (= _let_94 _let_93))) (let ((_let_96 (tptp.multiply tptp.b _let_55))) (let ((_let_97 (= _let_96 (tptp.add _let_30 _let_87)))) (let ((_let_98 (tptp.multiply _let_76 _let_76))) (let ((_let_99 (= _let_76 _let_98))) (let ((_let_100 (= _let_93 (tptp.add tptp.b _let_36)))) (let ((_let_101 (= (tptp.add _let_26 _let_55) (tptp.add _let_55 _let_26)))) (let ((_let_102 (= (tptp.add _let_35 _let_28) (tptp.add _let_54 _let_26)))) (let ((_let_103 (tptp.add _let_17 tptp.a))) (let ((_let_104 (tptp.add tptp.a tptp.a))) (let ((_let_105 (tptp.add tptp.additive_identity _let_104))) (let ((_let_106 (= _let_105 _let_103))) (let ((_let_107 (= _let_104 (tptp.add _let_104 tptp.additive_identity)))) (let ((_let_108 (tptp.add _let_35 _let_104))) (let ((_let_109 (tptp.add _let_104 _let_35))) (let ((_let_110 (= _let_109 _let_108))) (let ((_let_111 (tptp.multiply _let_104 tptp.additive_identity))) (let ((_let_112 (= (tptp.multiply _let_105 tptp.additive_identity) (tptp.add _let_19 _let_111)))) (let ((_let_113 (= _let_109 (tptp.add tptp.a _let_38)))) (let ((_let_114 (tptp.add _let_111 _let_111))) (let ((_let_115 (= (tptp.multiply _let_104 _let_15) _let_114))) (let ((_let_116 (tptp.additive_inverse _let_111))) (let ((_let_117 (tptp.add _let_116 _let_111))) (let ((_let_118 (= tptp.additive_identity _let_117))) (let ((_let_119 (= (tptp.add _let_116 _let_114) (tptp.add _let_117 _let_111)))) (let ((_let_120 (= (tptp.add tptp.b _let_108) (tptp.add _let_55 _let_104)))) (let ((_let_121 (tptp.add _let_104 _let_75))) (let ((_let_122 (= _let_121 (tptp.add _let_109 _let_35)))) (let ((_let_123 (tptp.add _let_59 tptp.b))) (let ((_let_124 (= (tptp.add tptp.b _let_59) _let_123))) (let ((_let_125 (= (tptp.add _let_104 _let_77) (tptp.add _let_121 _let_76)))) (let ((_let_126 (= (tptp.add _let_26 _let_60) (tptp.add _let_84 _let_59)))) (let ((_let_127 (tptp.add _let_76 _let_35))) (let ((_let_128 (= (tptp.multiply _let_76 _let_127) (tptp.add _let_98 (tptp.multiply _let_76 _let_35))))) (let ((_let_129 (= (tptp.multiply _let_103 _let_127) (tptp.add (tptp.multiply _let_17 _let_127) (tptp.multiply tptp.a _let_127))))) (let ((_let_130 (= (tptp.multiply _let_104 _let_38) (tptp.add (tptp.multiply _let_104 tptp.a) (tptp.multiply _let_104 _let_35))))) (let ((_let_131 (= (tptp.add _let_59 _let_28) (tptp.add _let_123 _let_26)))) (let ((_let_132 (tptp.multiply tptp.additive_identity _let_26))) (let ((_let_133 (= (tptp.multiply tptp.additive_identity _let_33) (tptp.add _let_19 _let_132)))) (let ((_let_134 (= (tptp.multiply tptp.additive_identity _let_28) (tptp.add _let_44 _let_132)))) (let ((_let_135 (tptp.multiply tptp.b _let_26))) (let ((_let_136 (= (tptp.multiply _let_24 _let_26) (tptp.add _let_132 _let_135)))) (let ((_let_137 (tptp.add _let_30 _let_135))) (let ((_let_138 (= (tptp.multiply tptp.b _let_28) _let_137))) (let ((_let_139 (= (tptp.add _let_26 _let_137) (tptp.add (tptp.add _let_26 _let_30) _let_135)))) (let ((_let_140 (= (tptp.add _let_42 _let_40) (tptp.add (tptp.add _let_42 _let_24) tptp.b)))) (let ((_let_141 (= (tptp.multiply _let_41 _let_40) (tptp.add (tptp.multiply _let_41 _let_24) _let_66)))) (let ((_let_142 (= (tptp.multiply _let_28 _let_26) (tptp.add _let_135 _let_57)))) (let ((_let_143 (tptp.add _let_87 _let_55))) (let ((_let_144 (tptp.add _let_55 _let_87))) (let ((_let_145 (= _let_144 _let_143))) (let ((_let_146 (tptp.multiply tptp.a _let_55))) (let ((_let_147 (= (tptp.multiply _let_17 _let_55) (tptp.add _let_80 _let_146)))) (let ((_let_148 (= (tptp.multiply _let_41 _let_55) (tptp.add _let_96 _let_96)))) (let ((_let_149 (= (tptp.add tptp.b _let_144) (tptp.add _let_69 _let_87)))) (let ((_let_150 (tptp.add _let_96 _let_146))) (let ((_let_151 (= (tptp.multiply (tptp.add tptp.b tptp.a) _let_55) _let_150))) (let ((_let_152 (tptp.add tptp.b _let_87))) (let ((_let_153 (= (tptp.add tptp.b _let_143) (tptp.add _let_152 _let_55)))) (let ((_let_154 (= (tptp.add _let_152 _let_150) (tptp.add (tptp.add _let_152 _let_96) _let_146)))) (let ((_let_155 (= (tptp.multiply tptp.a _let_94) (tptp.add _let_46 _let_146)))) (let ((_let_156 (= (tptp.add tptp.a (tptp.add tptp.a _let_87)) (tptp.add _let_104 _let_87)))) (let ((_let_157 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (SYMM (ASSUME :args (_let_4))) :args ((not (= tptp.c _let_1)) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_158 (forall ((X $$unsorted)) (= X (tptp.add tptp.additive_identity X))))) (let ((_let_159 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_160 (_let_158))) (let ((_let_161 (tptp.additive_identity QUANTIFIERS_INST_ENUM))) (let ((_let_162 (_let_8))) (let ((_let_163 (ASSUME :args _let_162))) (let ((_let_164 (forall ((X $$unsorted)) (= X (tptp.multiply X X))))) (let ((_let_165 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_166 (_let_164))) (let ((_let_167 (forall ((X $$unsorted)) (= X (tptp.add X tptp.additive_identity))))) (let ((_let_168 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_169 (_let_167))) (let ((_let_170 (tptp.b QUANTIFIERS_INST_ENUM))) (let ((_let_171 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add (tptp.additive_inverse X) X))))) (let ((_let_172 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_173 (_let_171))) (let ((_let_174 (forall ((X $$unsorted)) (= tptp.additive_identity (tptp.add X (tptp.additive_inverse X)))))) (let ((_let_175 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_176 (_let_174))) (let ((_let_177 (_let_26 QUANTIFIERS_INST_ENUM))) (let ((_let_178 (tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_179 (_let_9))) (let ((_let_180 (ASSUME :args _let_179))) (let ((_let_181 (tptp.additive_identity tptp.b tptp.b QUANTIFIERS_INST_ENUM))) (let ((_let_182 (_let_7))) (let ((_let_183 (ASSUME :args _let_182))) (let ((_let_184 (_let_6))) (let ((_let_185 (ASSUME :args _let_184))) (let ((_let_186 (_let_41 QUANTIFIERS_INST_ENUM))) (let ((_let_187 (_let_55 QUANTIFIERS_INST_ENUM))) (let ((_let_188 (tptp.b tptp.b _let_35 QUANTIFIERS_INST_ENUM))) (let ((_let_189 (_let_76 QUANTIFIERS_INST_ENUM))) (let ((_let_190 (not _let_14))) (let ((_let_191 (and _let_190 _let_16 _let_18 _let_20 _let_21 _let_23 _let_25 _let_27 _let_29 _let_31 _let_32 _let_34 _let_37 _let_39 _let_43 _let_45 _let_47 _let_48 _let_49 _let_50 _let_51 _let_53 _let_56 _let_58 _let_61 _let_62 _let_63 _let_64 _let_65 _let_67 _let_68 _let_70 _let_71 _let_74 _let_78 _let_79 _let_81 _let_82 _let_85 _let_86 _let_88 _let_91 _let_92 _let_95 _let_97 _let_99 _let_100 _let_101 _let_102 _let_106 _let_107 _let_110 _let_112 _let_113 _let_115 _let_118 _let_119 _let_120 _let_122 _let_124 _let_125 _let_126 _let_128 _let_129 _let_130 _let_131 _let_133 _let_134 _let_136 _let_138 _let_139 _let_140 _let_141 _let_142 _let_145 _let_147 _let_148 _let_149 _let_151 _let_153 _let_154 _let_155))) (let ((_let_192 (APPLY_UF tptp.multiply))) (let ((_let_193 (ASSUME :args (_let_21)))) (let ((_let_194 (SYMM _let_193))) (let ((_let_195 (ASSUME :args (_let_18)))) (let ((_let_196 (SYMM _let_195))) (let ((_let_197 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_let_216))) (let ((_let_218 (ASSUME :args (_let_107)))) (let ((_let_219 (ASSUME :args (_let_78)))) (let ((_let_220 (CONG _let_205 (SYMM _let_219) :args _let_197))) (let ((_let_221 (ASSUME :args (_let_125)))) (let ((_let_222 (ASSUME :args (_let_122)))) (let ((_let_223 (SYMM _let_200))) (let ((_let_224 (CONG (TRANS _let_198 (CONG (TRANS _let_193 _let_195 _let_223 _let_202) _let_209 :args _let_197) (SYMM _let_222)) (REFL :args (_let_76)) :args _let_197))) (let ((_let_225 (ASSUME :args (_let_82)))) (let ((_let_226 (SYMM _let_225))) (let ((_let_227 (TRANS (SYMM _let_226) _let_224 (SYMM _let_221) _let_220 (SYMM _let_218)))) (let ((_let_228 (TRANS (CONG _let_227 _let_209 :args _let_197) _let_203 _let_200 _let_196 _let_194))) (let ((_let_229 (CONG (TRANS (TRANS (CONG _let_194 _let_228 :args _let_192) _let_217) _let_193) (TRANS (CONG _let_199 _let_228 :args _let_192) _let_217) :args _let_197))) (let ((_let_230 (ASSUME :args (_let_129)))) (let ((_let_231 (SYMM (SYMM _let_230)))) (let ((_let_232 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_let_185 :args (_let_142 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (_let_41 _let_24 tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_183 :args (_let_141 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_42 _let_24 tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_179)) _let_180 :args (_let_140 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_26 _let_30 _let_135 QUANTIFIERS_INST_CBQI_PROP)) :args _let_179)) _let_180 :args (_let_139 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (tptp.b tptp.b _let_26 QUANTIFIERS_INST_ENUM)) :args _let_182)) _let_183 :args (_let_138 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args (tptp.additive_identity tptp.b _let_26 QUANTIFIERS_INST_ENUM)) :args _let_184)) _let_185 :args (_let_136 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (_let_104 _let_35 QUANTIFIERS_INST_ENUM)) :args _let_162)) _let_163 :args (_let_110 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_104 QUANTIFIERS_INST_ENUM)) :args _let_169)) _let_168 :args (_let_107 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (tptp.additive_identity tptp.a tptp.a QUANTIFIERS_INST_ENUM)) :args _let_179)) _let_180 :args (_let_106 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_35 tptp.b _let_26 QUANTIFIERS_INST_CBQI_PROP)) :args _let_179)) _let_180 :args (_let_102 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (_let_26 _let_55 QUANTIFIERS_INST_ENUM)) :args _let_162)) _let_163 :args (_let_101 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_180 :args (tptp.b _let_35 tptp.a 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_let_160)) _let_159 :args (_let_88 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_180 :args (tptp.b tptp.b _let_26 QUANTIFIERS_INST_CBQI_PROP)) :args _let_179))) _let_180 :args (_let_86 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (_let_26 _let_41 QUANTIFIERS_INST_ENUM)) :args _let_162)) _let_163 :args (_let_85 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args _let_189) :args _let_160)) _let_159 :args (_let_82 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (tptp.additive_identity tptp.b _let_35 QUANTIFIERS_INST_ENUM)) :args _let_182)) _let_183 :args (_let_81 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.a _let_41 QUANTIFIERS_INST_ENUM)) :args _let_162)) _let_163 :args (_let_79 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_175 :args (_let_75 QUANTIFIERS_INST_ENUM)) :args _let_176)) _let_175 :args (_let_78 false _let_174)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args (tptp.additive_identity tptp.additive_identity _let_35 QUANTIFIERS_INST_ENUM)) :args _let_184)) _let_185 :args (_let_74 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_59 QUANTIFIERS_INST_ENUM)) :args _let_169)) _let_168 :args (_let_71 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args _let_188) :args _let_179)) _let_180 :args (_let_70 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args _let_187) :args _let_166)) _let_165 :args (_let_68 false _let_164)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_185 :args (tptp.b tptp.b tptp.b QUANTIFIERS_INST_ENUM)) :args _let_184))) _let_185 :args (_let_67 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args _let_187) :args _let_169)) _let_168 :args (_let_65 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_52 tptp.b _let_26 QUANTIFIERS_INST_CBQI_PROP)) :args _let_179)) _let_180 :args (_let_64 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args _let_186) :args _let_166)) _let_165 :args (_let_63 false _let_164)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (tptp.b tptp.additive_identity tptp.b QUANTIFIERS_INST_ENUM)) :args _let_182)) _let_183 :args (_let_62 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_175 :args _let_186) :args _let_176)) _let_175 :args (_let_61 false _let_174)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args _let_177) :args _let_166)) _let_165 :args (_let_58 false _let_164)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.b _let_35 QUANTIFIERS_INST_ENUM)) :args _let_162)) _let_163 :args (_let_56 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_52 QUANTIFIERS_INST_ENUM)) :args _let_169)) _let_168 :args (_let_53 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (_let_44 tptp.b _let_26 QUANTIFIERS_INST_CBQI_PROP)) :args _let_179)) _let_180 :args (_let_51 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args _let_181) :args _let_184)) _let_185 :args (_let_50 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args (tptp.b tptp.b tptp.additive_identity QUANTIFIERS_INST_ENUM)) :args _let_179)) _let_180 :args (_let_49 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_35 QUANTIFIERS_INST_ENUM)) :args _let_169)) _let_168 :args (_let_48 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args _let_178) :args _let_166)) _let_165 :args (_let_47 false _let_164)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (tptp.additive_identity tptp.b tptp.additive_identity QUANTIFIERS_INST_ENUM)) :args _let_182)) _let_183 :args (_let_45 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_180 :args _let_181) :args _let_179)) _let_180 :args (_let_43 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_175 :args _let_178) :args _let_176)) _let_175 :args (_let_39 false _let_174)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args _let_178) :args _let_173)) _let_172 :args (_let_37 false _let_171)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args _let_177) :args _let_160)) _let_159 :args (_let_34 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args _let_177) :args _let_169)) _let_168 :args (_let_32 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args _let_170) :args _let_166)) _let_165 :args (_let_31 false _let_164)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_175 :args _let_170) :args _let_176)) _let_175 :args (_let_29 false _let_174)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args _let_170) :args _let_173)) _let_172 :args (_let_27 false _let_171)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args _let_170) :args _let_160)) _let_159 :args (_let_25 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args _let_170) :args _let_169)) _let_168 :args (_let_23 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_160)) _let_159 :args (_let_21 false _let_158)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args _let_161) :args _let_166)) _let_165 :args (_let_20 false _let_164)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.additive_identity tptp.a QUANTIFIERS_INST_ENUM)) :args _let_162)) _let_163 :args (_let_18 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args _let_161) :args _let_160)) _let_159 :args (_let_16 false _let_158)) _let_157 :args (false false _let_156 false _let_155 false _let_154 false _let_153 false _let_151 false _let_149 false _let_148 false _let_147 false _let_145 false _let_142 false _let_141 false _let_140 false _let_139 false _let_138 false _let_136 false _let_134 false _let_133 false _let_131 false _let_130 false _let_129 false _let_128 false _let_126 false _let_125 false _let_124 false _let_122 false _let_120 false _let_119 false _let_118 false _let_115 false _let_113 false _let_112 false _let_110 false _let_107 false _let_106 false _let_102 false _let_101 false _let_100 false _let_99 false _let_97 false _let_95 false _let_92 false _let_91 false _let_88 false _let_86 false _let_85 false _let_82 false _let_81 false _let_79 false _let_78 false _let_74 false _let_71 false _let_70 false _let_68 false _let_67 false _let_65 false _let_64 false _let_63 false _let_62 false _let_61 false _let_58 false _let_56 false _let_53 false _let_51 false _let_50 false _let_49 false _let_48 false _let_47 false _let_45 false _let_43 false _let_39 false _let_37 false _let_34 false _let_32 false _let_31 false _let_29 false _let_27 false _let_25 false _let_23 false _let_21 false _let_20 false _let_18 false _let_16 true _let_14)) :args (_let_13 _let_12 _let_11 _let_10 _let_9 _let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.multiply Y Z)) (tptp.multiply (tptp.multiply X Y) Z))) _let_7 _let_6 _let_5 _let_4 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.39/12.75  )
% 12.39/12.76  % SZS output end Proof for RNG008-7
% 12.39/12.76  % cvc5---1.0.5 exiting
% 12.39/12.76  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------