TSTP Solution File: GRP190-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP190-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 00:25:06 EDT 2023
% Result : Unsatisfiable 54.09s 54.25s
% Output : Proof 54.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP190-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n020.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 : Mon Aug 28 21:21:59 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.QY1FrqdhZu/cvc5---1.0.5_19856.p...
% 0.22/0.50 ------- get file name : TPTP file name is GRP190-1
% 0.22/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19856.smt2...
% 0.22/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.60/10.80 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.64/15.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.61/20.86 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.73/25.90 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.79/30.99 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.85/36.08 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.89/41.16 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.04/46.25 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.12/51.34 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 54.09/54.25 % SZS status Unsatisfiable for GRP190-1
% 54.09/54.25 % SZS output start Proof for GRP190-1
% 54.09/54.26 (
% 54.09/54.26 (let ((_let_1 (tptp.inverse tptp.b))) (let ((_let_2 (tptp.inverse tptp.a))) (let ((_let_3 (tptp.least_upper_bound _let_2 _let_1))) (let ((_let_4 (not (= _let_3 _let_1)))) (let ((_let_5 (tptp.least_upper_bound tptp.a tptp.b))) (let ((_let_6 (= _let_5 tptp.a))) (let ((_let_7 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.least_upper_bound Y Z) X) (tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_14 (= tptp.a _let_5))) (let ((_let_15 (= _let_1 _let_3))) (let ((_let_16 (tptp.multiply _let_2 tptp.a))) (let ((_let_17 (= tptp.identity _let_16))) (let ((_let_18 (tptp.multiply _let_1 tptp.b))) (let ((_let_19 (= tptp.identity _let_18))) (let ((_let_20 (tptp.least_upper_bound tptp.b tptp.a))) (let ((_let_21 (= _let_5 _let_20))) (let ((_let_22 (tptp.least_upper_bound _let_1 _let_2))) (let ((_let_23 (= _let_3 _let_22))) (let ((_let_24 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (let ((_let_25 (tptp.inverse tptp.identity))) (let ((_let_26 (tptp.multiply _let_25 tptp.identity))) (let ((_let_27 (= tptp.identity _let_26))) (let ((_let_28 (tptp.multiply tptp.b tptp.identity))) (let ((_let_29 (tptp.multiply _let_1 _let_28))) (let ((_let_30 (= (tptp.multiply _let_18 tptp.identity) _let_29))) (let ((_let_31 (= tptp.b (tptp.greatest_lower_bound tptp.b (tptp.least_upper_bound tptp.b tptp.b))))) (let ((_let_32 (tptp.multiply _let_2 tptp.b))) (let ((_let_33 (= (tptp.multiply _let_2 _let_20) (tptp.least_upper_bound _let_32 _let_16)))) (let ((_let_34 (= tptp.a (tptp.multiply tptp.identity tptp.a)))) (let ((_let_35 (tptp.inverse _let_1))) (let ((_let_36 (tptp.multiply _let_35 _let_1))) (let ((_let_37 (= tptp.identity _let_36))) (let ((_let_38 (tptp.multiply tptp.identity _let_25))) (let ((_let_39 (= _let_25 _let_38))) (let ((_let_40 (= (tptp.multiply _let_26 _let_25) (tptp.multiply _let_25 _let_38)))) (let ((_let_41 (tptp.multiply _let_1 tptp.a))) (let ((_let_42 (= (tptp.multiply _let_36 tptp.a) (tptp.multiply _let_35 _let_41)))) (let ((_let_43 (tptp.multiply _let_3 tptp.a))) (let ((_let_44 (= _let_43 (tptp.least_upper_bound _let_16 _let_41)))) (let ((_let_45 (tptp.multiply _let_3 tptp.b))) (let ((_let_46 (= _let_45 (tptp.least_upper_bound _let_32 _let_18)))) (let ((_let_47 (tptp.multiply tptp.identity tptp.b))) (let ((_let_48 (= tptp.b _let_47))) (let ((_let_49 (= (tptp.multiply _let_45 tptp.identity) (tptp.multiply _let_3 _let_28)))) (let ((_let_50 (= _let_43 (tptp.multiply tptp.identity _let_43)))) (let ((_let_51 (= (tptp.multiply _let_1 _let_20) (tptp.least_upper_bound _let_18 _let_41)))) (let ((_let_52 (= (tptp.multiply _let_47 tptp.identity) (tptp.multiply tptp.identity _let_28)))) (let ((_let_53 (= (tptp.multiply (tptp.multiply _let_22 _let_28) _let_25) (tptp.multiply _let_22 (tptp.multiply _let_28 _let_25))))) (let ((_let_54 (tptp.multiply tptp.b _let_43))) (let ((_let_55 (= (tptp.multiply _let_47 _let_43) (tptp.multiply tptp.identity _let_54)))) (let ((_let_56 (tptp.multiply tptp.identity _let_1))) (let ((_let_57 (= _let_1 _let_56))) (let ((_let_58 (tptp.inverse _let_22))) (let ((_let_59 (tptp.multiply _let_58 _let_22))) (let ((_let_60 (= tptp.identity _let_59))) (let ((_let_61 (= (tptp.multiply _let_36 tptp.b) (tptp.multiply _let_35 _let_18)))) (let ((_let_62 (= (tptp.multiply _let_36 _let_28) (tptp.multiply _let_35 _let_29)))) (let ((_let_63 (tptp.multiply _let_1 _let_54))) (let ((_let_64 (= _let_63 (tptp.multiply _let_18 _let_43)))) (let ((_let_65 (tptp.multiply _let_32 tptp.identity))) (let ((_let_66 (= _let_65 (tptp.multiply _let_2 _let_28)))) (let ((_let_67 (tptp.multiply tptp.identity _let_22))) (let ((_let_68 (= _let_22 _let_67))) (let ((_let_69 (= (tptp.multiply _let_26 _let_22) (tptp.multiply _let_25 _let_67)))) (let ((_let_70 (= (tptp.multiply _let_36 _let_54) (tptp.multiply _let_35 _let_63)))) (let ((_let_71 (= (tptp.multiply _let_32 _let_43) (tptp.multiply _let_2 _let_54)))) (let ((_let_72 (tptp.multiply _let_43 _let_25))) (let ((_let_73 (= (tptp.multiply (tptp.multiply _let_65 _let_43) _let_25) (tptp.multiply _let_65 _let_72)))) (let ((_let_74 (= (tptp.multiply (tptp.multiply _let_35 tptp.identity) _let_1) (tptp.multiply _let_35 _let_56)))) (let ((_let_75 (= (tptp.multiply (tptp.multiply _let_28 _let_32) _let_72) (tptp.multiply _let_28 (tptp.multiply _let_32 _let_72))))) (let ((_let_76 (tptp.multiply _let_25 _let_22))) (let ((_let_77 (tptp.multiply tptp.b _let_25))) (let ((_let_78 (= (tptp.multiply _let_77 _let_22) (tptp.multiply tptp.b _let_76)))) (let ((_let_79 (= (tptp.multiply (tptp.multiply _let_58 _let_25) _let_22) (tptp.multiply _let_58 _let_76)))) (let ((_let_80 (tptp.inverse _let_25))) (let ((_let_81 (tptp.multiply _let_80 _let_25))) (let ((_let_82 (= tptp.identity _let_81))) (let ((_let_83 (= (tptp.multiply _let_45 _let_1) (tptp.multiply _let_3 (tptp.multiply tptp.b _let_1))))) (let ((_let_84 (= (tptp.multiply _let_3 (tptp.multiply tptp.b _let_22)) (tptp.multiply _let_45 _let_22)))) (let ((_let_85 (= (tptp.multiply _let_81 _let_25) (tptp.multiply _let_80 (tptp.multiply _let_25 _let_25))))) (let ((_let_86 (= (tptp.multiply _let_59 _let_77) (tptp.multiply _let_58 (tptp.multiply _let_22 _let_77))))) (let ((_let_87 (SYMM (ASSUME :args (_let_6))))) (let ((_let_88 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 ((tptp.inverse X)))) (let ((_let_92 (_let_10))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 ((tptp.least_upper_bound X Y)))) (let ((_let_95 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (_let_95))) (let ((_let_98 (tptp.identity QUANTIFIERS_INST_ENUM))) (let ((_let_99 (_let_11))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 ((tptp.multiply (tptp.multiply X Y) Z)))) (let ((_let_102 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (_let_8))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 (_let_1 QUANTIFIERS_INST_ENUM))) (let ((_let_107 (_let_7))) (let ((_let_108 (ASSUME :args _let_107))) (let ((_let_109 ((tptp.multiply X (tptp.multiply Y Z))))) (let ((_let_110 (and _let_14 _let_17 _let_19 _let_21 _let_23 _let_24 _let_27 _let_30 _let_31 _let_33 _let_34 _let_37 _let_39 _let_40 _let_42 _let_44 _let_46 _let_48 _let_49 _let_50 _let_51 _let_52 _let_53 _let_55 _let_57 _let_60 _let_61 _let_62 _let_64 _let_66 _let_68 _let_69 _let_70 _let_71 _let_73 _let_74 _let_75 _let_78 _let_79 _let_82 _let_83 _let_84 _let_85 _let_86))) (let ((_let_111 (ASSUME :args (_let_23)))) (let ((_let_112 (SYMM _let_111))) (let ((_let_113 (ASSUME :args (_let_68)))) (let ((_let_114 (SYMM _let_113))) (let ((_let_115 (APPLY_UF tptp.multiply))) (let ((_let_116 (REFL :args (_let_22)))) (let ((_let_117 (ASSUME :args (_let_17)))) (let ((_let_118 (SYMM _let_117))) (let ((_let_119 (ASSUME :args (_let_21)))) (let ((_let_120 (TRANS (SYMM _let_119) (SYMM _let_87)))) (let ((_let_121 (REFL :args (_let_2)))) (let ((_let_122 (ASSUME :args (_let_33)))) (let ((_let_123 (APPLY_UF tptp.least_upper_bound))) (let ((_let_124 (ASSUME :args (_let_19)))) (let ((_let_125 (SYMM _let_124))) (let ((_let_126 (TRANS _let_125 _let_117))) (let ((_let_127 (REFL :args (_let_32)))) (let ((_let_128 (ASSUME :args (_let_46)))) (let ((_let_129 (TRANS (SYMM (SYMM _let_128)) (CONG _let_127 _let_126 :args _let_123) (SYMM _let_122) (CONG _let_121 _let_120 :args _let_115) _let_118))) (let ((_let_130 (ASSUME :args (_let_84)))) (let ((_let_131 (ASSUME :args (_let_27)))) (let ((_let_132 (SYMM _let_131))) (let ((_let_133 (ASSUME :args (_let_69)))) (let ((_let_134 (REFL :args (_let_25)))) (let ((_let_135 (TRANS (CONG _let_134 _let_113 :args _let_115) (SYMM _let_133) (CONG _let_132 _let_116 :args _let_115) _let_114))) (let ((_let_136 (REFL :args (tptp.b)))) (let ((_let_137 (CONG _let_136 _let_135 :args _let_115))) (let ((_let_138 (ASSUME :args (_let_78)))) (let ((_let_139 (SYMM _let_138))) (let ((_let_140 (ASSUME :args (_let_48)))) (let ((_let_141 (SYMM _let_140))) (let ((_let_142 (ASSUME :args (_let_37)))) (let ((_let_143 (SYMM _let_142))) (let ((_let_144 (CONG _let_143 _let_136 :args _let_115))) (let ((_let_145 (ASSUME :args (_let_61)))) (let ((_let_146 (SYMM _let_145))) (let ((_let_147 (SYMM _let_126))) (let ((_let_148 (REFL :args (_let_35)))) (let ((_let_149 (CONG _let_148 _let_147 :args _let_115))) (let ((_let_150 (ASSUME :args (_let_24)))) (let ((_let_151 (REFL :args (tptp.identity)))) (let ((_let_152 (ASSUME :args (_let_30)))) (let ((_let_153 (CONG _let_148 (TRANS (SYMM _let_152) (CONG _let_125 _let_151 :args _let_115) (SYMM _let_150) _let_117) :args _let_115))) (let ((_let_154 (ASSUME :args (_let_62)))) (let ((_let_155 (SYMM (SYMM _let_154)))) (let ((_let_156 (REFL :args (_let_28)))) (let ((_let_157 (CONG _let_142 _let_156 :args _let_115))) (let ((_let_158 (ASSUME :args (_let_52)))) (let ((_let_159 (SYMM (SYMM _let_158)))) (let ((_let_160 (CONG _let_140 _let_143 :args _let_115))) (let ((_let_161 (TRANS (CONG _let_136 _let_142 :args _let_115) _let_160 _let_159 _let_157 _let_155 _let_153 _let_149 _let_146 _let_144 _let_141))) (let ((_let_162 (CONG _let_161 _let_134 :args _let_115))) (let ((_let_163 (CONG _let_162 _let_116 :args _let_115))) (let ((_let_164 (ASSUME :args (_let_82)))) (let ((_let_165 (ASSUME :args (_let_39)))) (let ((_let_166 (SYMM _let_165))) (let ((_let_167 (ASSUME :args (_let_40)))) (let ((_let_168 (ASSUME :args (_let_85)))) (let ((_let_169 (ASSUME :args (_let_31)))) (let ((_let_170 (ASSUME :args (_let_34)))) (let ((_let_171 (ASSUME :args (_let_42)))) (let ((_let_172 (REFL :args (_let_1)))) (let ((_let_173 (ASSUME :args (_let_51)))) (let ((_let_174 (ASSUME :args (_let_44)))) (let ((_let_175 (ASSUME :args (_let_50)))) (let ((_let_176 (REFL :args (_let_43)))) (let ((_let_177 (ASSUME :args (_let_64)))) (let ((_let_178 (ASSUME :args (_let_70)))) (let ((_let_179 (ASSUME :args (_let_55)))) (let ((_let_180 (ASSUME :args (_let_71)))) (let ((_let_181 (ASSUME :args (_let_66)))) (let ((_let_182 (TRANS (SYMM (SYMM _let_181)) (CONG _let_121 _let_161 :args _let_115)))) (let ((_let_183 (ASSUME :args (_let_73)))) (let ((_let_184 (REFL :args (_let_72)))) (let ((_let_185 (CONG _let_161 (TRANS (CONG (SYMM _let_182) _let_184 :args _let_115) (SYMM _let_183) (CONG (TRANS (CONG _let_182 _let_176 :args _let_115) (SYMM (SYMM _let_180)) (CONG _let_121 (TRANS (CONG _let_140 _let_176 :args _let_115) (SYMM (SYMM _let_179)) (CONG _let_142 (REFL :args (_let_54)) :args _let_115) (SYMM (SYMM _let_178)) (CONG _let_148 (TRANS (SYMM (SYMM _let_177)) (CONG _let_125 _let_176 :args _let_115) (SYMM _let_175) (SYMM (SYMM _let_174)) (CONG _let_147 (REFL :args (_let_41)) :args _let_123) (SYMM _let_173) (CONG _let_172 _let_120 :args _let_115)) :args _let_115) (SYMM _let_171) (CONG _let_143 (REFL :args (tptp.a)) :args _let_115) (SYMM _let_170)) :args _let_115) _let_118) _let_134 :args _let_115) _let_166) :args _let_115))) (let ((_let_186 (ASSUME :args (_let_75)))) (let ((_let_187 (SYMM _let_186))) (let ((_let_188 (CONG (CONG (SYMM _let_161) _let_127 :args _let_115) _let_184 :args _let_115))) (let ((_let_189 (ASSUME :args (_let_60)))) (let ((_let_190 (ASSUME :args (_let_86)))) (let ((_let_191 (ASSUME :args (_let_53)))) (let ((_let_192 (ASSUME :args (_let_49)))) (let ((_let_193 (SYMM _let_129))) (let ((_let_194 (REFL :args (_let_58)))) (let ((_let_195 (ASSUME :args (_let_79)))) (let ((_let_196 (ASSUME :args (_let_57)))) (let ((_let_197 (ASSUME :args (_let_74)))) (let ((_let_198 (ASSUME :args (_let_83)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_110)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_111 _let_113 _let_117 _let_87 _let_119 _let_122 _let_124 _let_128 _let_130 _let_131 _let_133 _let_138 _let_140 _let_142 _let_145 _let_150 _let_152 _let_154 _let_158 _let_169 _let_164 _let_165 _let_167 _let_168 _let_170 _let_171 _let_173 _let_174 _let_175 _let_177 _let_178 _let_179 _let_180 _let_181 _let_183 _let_186 _let_189 _let_190 _let_191 _let_192 _let_195 _let_196 _let_197 _let_198) (SCOPE (TRANS _let_196 (CONG _let_193 _let_172 :args _let_115) (SYMM (SYMM _let_198)) (CONG (REFL :args (_let_3)) (TRANS (CONG (TRANS _let_140 (SYMM _let_144) _let_145 (SYMM _let_149) (CONG _let_148 _let_118 :args _let_115)) _let_172 :args _let_115) (SYMM (SYMM _let_197)) (CONG _let_148 (SYMM _let_196) :args _let_115) _let_143) :args _let_115) (CONG _let_111 (TRANS _let_189 (CONG _let_194 (SYMM _let_135) :args _let_115) (SYMM _let_195) (CONG (TRANS (CONG _let_194 (TRANS _let_165 (CONG (TRANS _let_150 (CONG _let_193 _let_151 :args _let_115) (SYMM (SYMM _let_192)) (CONG _let_111 _let_156 :args _let_115)) _let_134 :args _let_115) (SYMM (SYMM _let_191)) (CONG _let_116 _let_162 :args _let_115)) :args _let_115) (SYMM _let_190) (CONG (SYMM _let_189) (REFL :args (_let_77)) :args _let_115) (CONG _let_151 (TRANS (SYMM _let_185) _let_187 (SYMM _let_188)) :args _let_115) (CONG _let_151 (TRANS _let_188 (SYMM _let_187) _let_185 (CONG _let_169 _let_134 :args _let_115) (CONG (SYMM _let_169) (TRANS _let_165 (CONG _let_164 _let_134 :args _let_115) (SYMM (SYMM _let_168)) (CONG (REFL :args (_let_80)) (TRANS (CONG _let_134 _let_165 :args _let_115) (SYMM _let_167) (CONG _let_132 _let_134 :args _let_115) _let_166) :args _let_115) (SYMM _let_164) _let_142) :args _let_115) _let_160 _let_159 _let_157 _let_155 _let_153 _let_149 _let_146 _let_144 _let_141) :args _let_115) _let_141) _let_116 :args _let_115) (SYMM _let_137) _let_139 (SYMM _let_163)) :args _let_115) (CONG _let_112 (TRANS _let_163 (SYMM _let_139) _let_137) :args _let_115) (SYMM (SYMM _let_130)) (CONG _let_129 _let_116 :args _let_115) _let_114 _let_112) :args (_let_23 _let_68 _let_17 _let_14 _let_21 _let_33 _let_19 _let_46 _let_84 _let_27 _let_69 _let_78 _let_48 _let_37 _let_61 _let_24 _let_30 _let_62 _let_52 _let_31 _let_82 _let_39 _let_40 _let_85 _let_34 _let_42 _let_51 _let_44 _let_50 _let_64 _let_70 _let_55 _let_71 _let_66 _let_73 _let_75 _let_60 _let_86 _let_53 _let_49 _let_79 _let_57 _let_74 _let_83))) :args (_let_14 _let_17 _let_19 _let_21 _let_23 _let_24 _let_27 _let_30 _let_31 _let_33 _let_34 _let_37 _let_39 _let_40 _let_42 _let_44 _let_46 _let_48 _let_49 _let_50 _let_51 _let_52 _let_53 _let_55 _let_57 _let_60 _let_61 _let_62 _let_64 _let_66 _let_68 _let_69 _let_70 _let_71 _let_73 _let_74 _let_75 _let_78 _let_79 _let_82 _let_83 _let_84 _let_85 _let_86))) :args (true _let_110)) :args ((or _let_15 (not _let_14) (not _let_17) (not _let_19) (not _let_21) (not _let_23) (not _let_24) (not _let_27) (not _let_30) (not _let_31) (not _let_33) (not _let_34) (not _let_37) (not _let_39) (not _let_40) (not _let_42) (not _let_44) (not _let_46) (not _let_48) (not _let_49) (not _let_50) (not _let_51) (not _let_52) (not _let_53) (not _let_55) (not _let_57) (not _let_60) (not _let_61) (not _let_62) (not _let_64) (not _let_66) (not _let_68) (not _let_69) (not _let_70) (not _let_71) (not _let_73) (not _let_74) (not _let_75) (not _let_78) (not _let_79) (not _let_82) (not _let_83) (not _let_84) (not _let_85) (not _let_86)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_58 _let_22 _let_77 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_86 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_80 _let_25 _let_25 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_85 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_3 tptp.b _let_22 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99))) _let_100 :args (_let_84 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_3 tptp.b _let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_83 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_25 QUANTIFIERS_INST_ENUM)) :args _let_90)) _let_89 :args (_let_82 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_58 _let_25 _let_22 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_99)) _let_100 :args (_let_79 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.b _let_25 _let_22 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_99)) _let_100 :args (_let_78 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_28 _let_32 _let_72 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_99)) _let_100 :args (_let_75 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_35 tptp.identity _let_1 QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_99)) _let_100 :args (_let_74 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_65 _let_43 _let_25 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_73 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_2 tptp.b _let_43 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_71 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_35 _let_1 _let_54 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_70 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_25 tptp.identity _let_22 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_69 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_22 QUANTIFIERS_INST_CBQI_PROP)) :args _let_97)) _let_96 :args (_let_68 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_2 tptp.b tptp.identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_66 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_1 tptp.b _let_43 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99))) _let_100 :args (_let_64 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_35 _let_1 _let_28 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_62 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_35 _let_1 tptp.b QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_61 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_22 QUANTIFIERS_INST_ENUM)) :args _let_90)) _let_89 :args (_let_60 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args _let_106) :args _let_97)) _let_96 :args (_let_57 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.identity tptp.b _let_43 QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_99)) _let_100 :args (_let_55 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_22 _let_28 _let_25 QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_99)) _let_100 :args (_let_53 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.identity tptp.b tptp.identity QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_99)) _let_100 :args (_let_52 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_1 tptp.b tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_104)) _let_105 :args (_let_51 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_43 QUANTIFIERS_INST_CBQI_PROP)) :args _let_97)) _let_96 :args (_let_50 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_3 tptp.b tptp.identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_49 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.b QUANTIFIERS_INST_ENUM)) :args _let_97)) _let_96 :args (_let_48 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_2 _let_1 tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X))))) :args _let_107)) _let_108 :args (_let_46 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_2 _let_1 tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.least_upper_bound Y Z) X)))) :args _let_107)) _let_108 :args (_let_44 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_35 _let_1 tptp.a QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_99)) _let_100 :args (_let_42 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_25 tptp.identity _let_25 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_40 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (_let_25 QUANTIFIERS_INST_CBQI_PROP)) :args _let_97)) _let_96 :args (_let_39 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args _let_106) :args _let_90)) _let_89 :args (_let_37 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_97)) _let_96 :args (_let_34 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_2 tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.least_upper_bound Y Z))))) :args _let_104)) _let_105 :args (_let_33 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.b tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.least_upper_bound X Y)))) :args (_let_102))) _let_103 :args (_let_31 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_1 tptp.b tptp.identity QUANTIFIERS_INST_E_MATCHING _let_101)) :args _let_99)) _let_100 :args (_let_30 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args _let_98) :args _let_90)) _let_89 :args (_let_27 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args _let_98) :args _let_97)) _let_96 :args (_let_24 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_92)) _let_93 :args (_let_23 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_94)) :args _let_92)) _let_93 :args (_let_21 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_19 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_17 false _let_88)) (SYMM (ASSUME :args (_let_4))) _let_87 :args (false false _let_86 false _let_85 false _let_84 false _let_83 false _let_82 false _let_79 false _let_78 false _let_75 false _let_74 false _let_73 false _let_71 false _let_70 false _let_69 false _let_68 false _let_66 false _let_64 false _let_62 false _let_61 false _let_60 false _let_57 false _let_55 false _let_53 false _let_52 false _let_51 false _let_50 false _let_49 false _let_48 false _let_46 false _let_44 false _let_42 false _let_40 false _let_39 false _let_37 false _let_34 false _let_33 false _let_31 false _let_30 false _let_27 false _let_24 false _let_23 false _let_21 false _let_19 false _let_17 true _let_15 false _let_14)) :args (_let_13 _let_12 _let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))) _let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.least_upper_bound X Y) Z))) (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)) _let_9 _let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))) _let_7 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.greatest_lower_bound Y Z) X) (tptp.greatest_lower_bound (tptp.multiply Y X) (tptp.multiply Z X)))) _let_6 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 54.09/54.26 )
% 54.09/54.27 % SZS output end Proof for GRP190-1
% 54.09/54.27 % cvc5---1.0.5 exiting
% 54.09/54.27 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------