TSTP Solution File: GRP167-5 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP167-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 00:24:55 EDT 2023
% Result : Unsatisfiable 159.64s 159.87s
% Output : Proof 159.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP167-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 02:42:29 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.fBiOUmCcDz/cvc5---1.0.5_11793.p...
% 0.21/0.50 ------- get file name : TPTP file name is GRP167-5
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11793.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.55/10.86 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.70/15.89 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.68/20.92 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.72/25.95 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.79/31.05 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.95/36.16 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.99/41.24 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.00/46.32 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.08/51.39 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.25/56.47 --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.29/61.54 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.40/66.65 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.48/76.76 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 86.63/86.87 --- Run --no-cbqi --full-saturate-quant at 10...
% 96.89/97.20 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant...
% 159.64/159.87 % SZS status Unsatisfiable for GRP167-5
% 159.64/159.87 % SZS output start Proof for GRP167-5
% 159.64/159.87 (
% 159.64/159.87 (let ((_let_1 (not (= tptp.a (tptp.multiply (tptp.positive_part tptp.a) (tptp.negative_part tptp.a)))))) (let ((_let_2 (forall ((X $$unsorted)) (= (tptp.negative_part X) (tptp.greatest_lower_bound X tptp.identity))))) (let ((_let_3 (forall ((X $$unsorted)) (= (tptp.positive_part X) (tptp.least_upper_bound X tptp.identity))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.inverse (tptp.least_upper_bound A B)) (tptp.greatest_lower_bound (tptp.inverse A) (tptp.inverse B)))))) (let ((_let_5 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.greatest_lower_bound Y Z) X) (tptp.greatest_lower_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_6 (forall ((Y $$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_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_8 (forall ((X $$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.least_upper_bound X (tptp.greatest_lower_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)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))) (let ((_let_14 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_15 (tptp.greatest_lower_bound tptp.a tptp.identity))) (let ((_let_16 (tptp.least_upper_bound tptp.a tptp.identity))) (let ((_let_17 (tptp.multiply _let_16 _let_15))) (let ((_let_18 (= tptp.a _let_17))) (let ((_let_19 (tptp.greatest_lower_bound tptp.identity tptp.a))) (let ((_let_20 (= _let_15 _let_19))) (let ((_let_21 (tptp.multiply tptp.identity _let_15))) (let ((_let_22 (tptp.multiply tptp.a _let_15))) (let ((_let_23 (= _let_17 (tptp.least_upper_bound _let_22 _let_21)))) (let ((_let_24 (tptp.inverse tptp.identity))) (let ((_let_25 (tptp.inverse tptp.a))) (let ((_let_26 (tptp.greatest_lower_bound _let_25 _let_24))) (let ((_let_27 (tptp.inverse _let_16))) (let ((_let_28 (= _let_27 _let_26))) (let ((_let_29 (= _let_15 _let_21))) (let ((_let_30 (tptp.multiply _let_24 tptp.identity))) (let ((_let_31 (= tptp.identity _let_30))) (let ((_let_32 (tptp.multiply _let_25 tptp.a))) (let ((_let_33 (= tptp.identity _let_32))) (let ((_let_34 (= tptp.identity (tptp.multiply _let_27 _let_16)))) (let ((_let_35 (tptp.greatest_lower_bound _let_24 _let_25))) (let ((_let_36 (= _let_26 _let_35))) (let ((_let_37 (tptp.least_upper_bound tptp.identity _let_19))) (let ((_let_38 (= tptp.identity _let_37))) (let ((_let_39 (tptp.multiply tptp.identity tptp.identity))) (let ((_let_40 (= tptp.identity _let_39))) (let ((_let_41 (tptp.multiply tptp.identity tptp.a))) (let ((_let_42 (= tptp.a _let_41))) (let ((_let_43 (= _let_37 (tptp.least_upper_bound _let_19 tptp.identity)))) (let ((_let_44 (tptp.multiply tptp.identity _let_22))) (let ((_let_45 (= (tptp.multiply _let_41 _let_15) _let_44))) (let ((_let_46 (tptp.multiply _let_25 tptp.identity))) (let ((_let_47 (tptp.multiply _let_46 tptp.a))) (let ((_let_48 (= _let_47 (tptp.multiply _let_25 _let_41)))) (let ((_let_49 (tptp.multiply tptp.identity _let_16))) (let ((_let_50 (= _let_49 (tptp.least_upper_bound _let_41 _let_39)))) (let ((_let_51 (tptp.multiply _let_15 tptp.identity))) (let ((_let_52 (= (tptp.multiply (tptp.least_upper_bound _let_15 tptp.identity) tptp.identity) (tptp.least_upper_bound _let_51 _let_39)))) (let ((_let_53 (tptp.multiply _let_25 _let_16))) (let ((_let_54 (= (tptp.multiply _let_35 _let_16) (tptp.greatest_lower_bound (tptp.multiply _let_24 _let_16) _let_53)))) (let ((_let_55 (= (tptp.multiply _let_30 _let_16) (tptp.multiply _let_24 _let_49)))) (let ((_let_56 (= _let_53 (tptp.least_upper_bound _let_32 _let_46)))) (let ((_let_57 (= (tptp.multiply tptp.identity (tptp.least_upper_bound _let_22 _let_15)) (tptp.least_upper_bound _let_44 _let_21)))) (let ((_let_58 (tptp.inverse _let_25))) (let ((_let_59 (tptp.multiply _let_58 _let_25))) (let ((_let_60 (= tptp.identity _let_59))) (let ((_let_61 (= (tptp.multiply (tptp.least_upper_bound tptp.identity _let_46) tptp.a) (tptp.least_upper_bound _let_41 _let_47)))) (let ((_let_62 (tptp.least_upper_bound _let_15 _let_24))) (let ((_let_63 (tptp.multiply _let_62 tptp.identity))) (let ((_let_64 (= _let_63 (tptp.least_upper_bound _let_51 _let_30)))) (let ((_let_65 (tptp.multiply tptp.identity _let_24))) (let ((_let_66 (= _let_24 _let_65))) (let ((_let_67 (= (tptp.multiply _let_30 _let_24) (tptp.multiply _let_24 _let_65)))) (let ((_let_68 (tptp.least_upper_bound _let_62 _let_25))) (let ((_let_69 (tptp.multiply _let_68 tptp.identity))) (let ((_let_70 (= _let_69 (tptp.least_upper_bound _let_63 _let_46)))) (let ((_let_71 (tptp.multiply _let_53 _let_15))) (let ((_let_72 (= _let_71 (tptp.greatest_lower_bound (tptp.multiply _let_53 tptp.a) (tptp.multiply _let_53 tptp.identity))))) (let ((_let_73 (tptp.inverse _let_24))) (let ((_let_74 (tptp.multiply _let_73 _let_24))) (let ((_let_75 (= tptp.identity _let_74))) (let ((_let_76 (= (tptp.multiply _let_74 _let_24) (tptp.multiply _let_73 (tptp.multiply _let_24 _let_24))))) (let ((_let_77 (= (tptp.multiply _let_69 tptp.identity) (tptp.multiply _let_68 _let_39)))) (let ((_let_78 (tptp.multiply _let_25 _let_17))) (let ((_let_79 (= _let_71 _let_78))) (let ((_let_80 (= (tptp.multiply _let_59 tptp.a) (tptp.multiply _let_58 _let_32)))) (let ((_let_81 (= (tptp.multiply _let_59 _let_17) (tptp.multiply _let_58 _let_78)))) (let ((_let_82 (_let_11))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 ((tptp.greatest_lower_bound X Y)))) (let ((_let_85 (_let_6))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 ((tptp.multiply (tptp.least_upper_bound Y Z) X)))) (let ((_let_88 (_let_4))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_90))) (let ((_let_93 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (_let_93))) (let ((_let_96 ((tptp.inverse X)))) (let ((_let_97 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (_let_10))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (_let_12))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (_let_8))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 ((tptp.least_upper_bound (tptp.multiply X Y) (tptp.multiply X Z))))) (let ((_let_106 (_let_5))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 ((tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X))))) (let ((_let_109 (_let_7))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 (and _let_20 _let_23 _let_28 _let_29 _let_31 _let_33 _let_34 _let_36 _let_38 _let_40 _let_42 _let_43 _let_45 _let_48 _let_50 _let_52 _let_54 _let_55 _let_56 _let_57 _let_60 _let_61 _let_64 _let_66 _let_67 _let_70 _let_72 _let_75 _let_76 _let_77 _let_79 _let_80 _let_81))) (let ((_let_112 (ASSUME :args (_let_23)))) (let ((_let_113 (APPLY_UF tptp.least_upper_bound))) (let ((_let_114 (APPLY_UF tptp.multiply))) (let ((_let_115 (ASSUME :args (_let_29)))) (let ((_let_116 (SYMM _let_115))) (let ((_let_117 (REFL :args (tptp.a)))) (let ((_let_118 (ASSUME :args (_let_42)))) (let ((_let_119 (SYMM _let_118))) (let ((_let_120 (ASSUME :args (_let_45)))) (let ((_let_121 (ASSUME :args (_let_57)))) (let ((_let_122 (ASSUME :args (_let_60)))) (let ((_let_123 (ASSUME :args (_let_81)))) (let ((_let_124 (ASSUME :args (_let_79)))) (let ((_let_125 (ASSUME :args (_let_72)))) (let ((_let_126 (REFL :args (tptp.identity)))) (let ((_let_127 (ASSUME :args (_let_56)))) (let ((_let_128 (SYMM _let_127))) (let ((_let_129 (REFL :args (_let_46)))) (let ((_let_130 (ASSUME :args (_let_33)))) (let ((_let_131 (SYMM _let_130))) (let ((_let_132 (SYMM _let_131))) (let ((_let_133 (ASSUME :args (_let_40)))) (let ((_let_134 (SYMM _let_133))) (let ((_let_135 (ASSUME :args (_let_38)))) (let ((_let_136 (ASSUME :args (_let_43)))) (let ((_let_137 (ASSUME :args (_let_20)))) (let ((_let_138 (ASSUME :args (_let_52)))) (let ((_let_139 (ASSUME :args (_let_31)))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (ASSUME :args (_let_64)))) (let ((_let_142 (CONG (TRANS (TRANS (SYMM (SYMM _let_141)) (CONG (REFL :args (_let_51)) (TRANS _let_140 _let_133) :args _let_113) (SYMM _let_138) (CONG (TRANS (CONG (SYMM (SYMM _let_137)) _let_126 :args _let_113) (SYMM _let_136) (SYMM _let_135)) _let_126 :args _let_114) _let_134) _let_132) _let_129 :args _let_113))) (let ((_let_143 (ASSUME :args (_let_70)))) (let ((_let_144 (SYMM _let_143))) (let ((_let_145 (ASSUME :args (_let_77)))) (let ((_let_146 (ASSUME :args (_let_61)))) (let ((_let_147 (ASSUME :args (_let_48)))) (let ((_let_148 (CONG _let_119 _let_134 :args _let_113))) (let ((_let_149 (ASSUME :args (_let_50)))) (let ((_let_150 (SYMM _let_149))) (let ((_let_151 (REFL :args (_let_16)))) (let ((_let_152 (ASSUME :args (_let_55)))) (let ((_let_153 (REFL :args (_let_24)))) (let ((_let_154 (ASSUME :args (_let_54)))) (let ((_let_155 (ASSUME :args (_let_36)))) (let ((_let_156 (ASSUME :args (_let_28)))) (let ((_let_157 (ASSUME :args (_let_34)))) (let ((_let_158 (ASSUME :args (_let_75)))) (let ((_let_159 (ASSUME :args (_let_66)))) (let ((_let_160 (SYMM _let_159))) (let ((_let_161 (ASSUME :args (_let_67)))) (let ((_let_162 (CONG (REFL :args (_let_73)) (TRANS (CONG _let_153 _let_159 :args _let_114) (SYMM _let_161) (CONG _let_140 _let_153 :args _let_114) _let_160) :args _let_114))) (let ((_let_163 (ASSUME :args (_let_76)))) (let ((_let_164 (SYMM _let_163))) (let ((_let_165 (CONG _let_158 _let_153 :args _let_114))) (let ((_let_166 (REFL :args (_let_58)))) (let ((_let_167 (ASSUME :args (_let_80)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_111)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_112 _let_115 _let_118 _let_120 _let_121 _let_122 _let_123 _let_124 _let_125 _let_127 _let_130 _let_146 _let_147 _let_133 _let_149 _let_139 _let_152 _let_135 _let_136 _let_137 _let_138 _let_141 _let_143 _let_145 _let_154 _let_155 _let_156 _let_157 _let_158 _let_159 _let_161 _let_163 _let_167) (SCOPE (TRANS _let_118 (CONG _let_122 _let_117 :args _let_114) (SYMM (SYMM _let_167)) (CONG _let_166 (TRANS _let_131 _let_158 (SYMM _let_162) _let_164 (SYMM _let_165) _let_160) :args _let_114) (CONG _let_166 (TRANS _let_159 _let_165 (SYMM _let_164) _let_162 (SYMM _let_158) (SYMM (SYMM _let_157)) (CONG (TRANS (SYMM (SYMM _let_156)) (SYMM (SYMM _let_155))) _let_151 :args _let_114) (SYMM (SYMM _let_154)) (CONG (TRANS (TRANS (CONG _let_153 (TRANS (SYMM _let_148) _let_150) :args _let_114) (SYMM _let_152) (CONG _let_140 _let_151 :args _let_114) (SYMM _let_150) _let_148) (TRANS (CONG _let_118 (TRANS _let_132 (CONG (REFL :args (_let_25)) _let_118 :args _let_114) (SYMM _let_147)) :args _let_113) (SYMM _let_146) (CONG (TRANS (CONG _let_132 _let_129 :args _let_113) _let_128) _let_117 :args _let_114))) (TRANS _let_127 (SYMM _let_142) _let_144 (CONG (REFL :args (_let_68)) _let_133 :args _let_114) (SYMM _let_145) (CONG (TRANS (SYMM _let_144) _let_142 _let_128) _let_126 :args _let_114)) :args (APPLY_UF tptp.greatest_lower_bound)) (SYMM _let_125) (SYMM (SYMM _let_124))) :args _let_114) (SYMM _let_123) (CONG (SYMM _let_122) (TRANS _let_112 (CONG (REFL :args (_let_22)) _let_116 :args _let_113)) :args _let_114) (SYMM (SYMM _let_121)) (CONG (TRANS (SYMM _let_120) (CONG _let_119 _let_115 :args _let_114) (CONG _let_117 _let_116 :args _let_114)) (REFL :args (_let_21)) :args _let_113) (SYMM _let_112)) :args (_let_23 _let_29 _let_42 _let_45 _let_57 _let_60 _let_81 _let_79 _let_72 _let_56 _let_33 _let_61 _let_48 _let_40 _let_50 _let_31 _let_55 _let_38 _let_43 _let_20 _let_52 _let_64 _let_70 _let_77 _let_54 _let_36 _let_28 _let_34 _let_75 _let_66 _let_67 _let_76 _let_80))) :args (_let_20 _let_23 _let_28 _let_29 _let_31 _let_33 _let_34 _let_36 _let_38 _let_40 _let_42 _let_43 _let_45 _let_48 _let_50 _let_52 _let_54 _let_55 _let_56 _let_57 _let_60 _let_61 _let_64 _let_66 _let_67 _let_70 _let_72 _let_75 _let_76 _let_77 _let_79 _let_80 _let_81))) :args (true _let_111)) :args ((or _let_18 (not _let_20) (not _let_23) (not _let_28) (not _let_29) (not _let_31) (not _let_33) (not _let_34) (not _let_36) (not _let_38) (not _let_40) (not _let_42) (not _let_43) (not _let_45) (not _let_48) (not _let_50) (not _let_52) (not _let_54) (not _let_55) (not _let_56) (not _let_57) (not _let_60) (not _let_61) (not _let_64) (not _let_66) (not _let_67) (not _let_70) (not _let_72) (not _let_75) (not _let_76) (not _let_77) (not _let_79) (not _let_80) (not _let_81)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_58 _let_25 _let_17 QUANTIFIERS_INST_CBQI_PROP)) :args _let_101)) _let_102 :args (_let_81 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_58 _let_25 tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_101)) _let_102 :args (_let_80 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_25 _let_16 _let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_101)) _let_102 :args (_let_79 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_68 tptp.identity tptp.identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_101)) _let_102 :args (_let_77 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_73 _let_24 _let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_101)) _let_102 :args (_let_76 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_95)) _let_94 :args (_let_75 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_53 tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.greatest_lower_bound Y Z))))) :args _let_109)) _let_110 :args (_let_72 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_62 _let_25 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_85)) _let_86 :args (_let_70 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_24 tptp.identity _let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_101)) _let_102 :args (_let_67 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_24 QUANTIFIERS_INST_CBQI_PROP)) :args _let_92)) _let_91 :args (_let_66 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_15 _let_24 tptp.identity QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_85)) _let_86 :args (_let_64 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.identity _let_46 tptp.a QUANTIFIERS_INST_E_MATCHING _let_108)) :args _let_85)) _let_86 :args (_let_61 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_95)) _let_94 :args (_let_60 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.identity _let_22 _let_15 QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_103)) _let_104 :args (_let_57 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_25 tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.least_upper_bound Y Z))))) :args _let_103)) _let_104 :args (_let_56 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_24 tptp.identity _let_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_101)) _let_102 :args (_let_55 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_24 _let_25 _let_16 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.greatest_lower_bound Y Z) X)))) :args _let_106)) _let_107 :args (_let_54 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_15 tptp.identity tptp.identity QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_52 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.identity tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING _let_105)) :args _let_103)) _let_104 :args (_let_50 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_25 tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING ((tptp.multiply X (tptp.multiply Y Z))))) :args _let_101)) _let_102 :args (_let_48 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.identity tptp.a _let_15 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply (tptp.multiply X Y) Z)))) :args _let_101)) _let_102 :args (_let_45 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.identity _let_19 QUANTIFIERS_INST_CBQI_PROP)) :args _let_99)) _let_100 :args (_let_43 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.a QUANTIFIERS_INST_CBQI_PROP)) :args _let_92)) _let_91 :args (_let_42 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_92)) _let_91 :args (_let_40 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.identity tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greatest_lower_bound X Y)))) :args (_let_97))) _let_98 :args (_let_38 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_25 _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_36 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_95)) _let_94 :args (_let_34 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_95)) _let_94 :args (_let_33 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_95)) _let_94 :args (_let_31 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_92)) _let_91 :args (_let_29 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.least_upper_bound A B)))) :args _let_88)) _let_89 :args (_let_28 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.a tptp.identity _let_15 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_23 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.a tptp.identity QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_82)) _let_83 :args (_let_20 false _let_11)) (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO (AND_INTRO (TRUST_SUBS_EQ (ASSUME :args (_let_2)) :args ((= tptp.negative_part (lambda ((BOUND_VARIABLE_778 $$unsorted)) (tptp.greatest_lower_bound BOUND_VARIABLE_778 tptp.identity))))) (TRUST_SUBS_EQ (ASSUME :args (_let_3)) :args ((= tptp.positive_part (lambda ((BOUND_VARIABLE_772 $$unsorted)) (tptp.least_upper_bound BOUND_VARIABLE_772 tptp.identity)))))) :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (false false _let_81 false _let_80 false _let_79 false _let_77 false _let_76 false _let_75 false _let_72 false _let_70 false _let_67 false _let_66 false _let_64 false _let_61 false _let_60 false _let_57 false _let_56 false _let_55 false _let_54 false _let_52 false _let_50 false _let_48 false _let_45 false _let_43 false _let_42 false _let_40 false _let_38 false _let_36 false _let_34 false _let_33 false _let_31 false _let_29 false _let_28 false _let_23 false _let_20 true _let_18)) :args (_let_14 _let_13 _let_12 _let_11 _let_10 (forall ((X $$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 $$unsorted)) (= (tptp.greatest_lower_bound X X) X)) _let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.least_upper_bound X Y) (tptp.least_upper_bound X Z)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound X Z)))) _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 159.64/159.87 )
% 159.67/159.92 % SZS output end Proof for GRP167-5
% 159.67/159.92 % cvc5---1.0.5 exiting
% 159.67/159.93 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------