TSTP Solution File: GRP167-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP167-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 00:24:54 EDT 2023
% Result : Unsatisfiable 12.08s 12.30s
% Output : Proof 12.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP167-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 19:27:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Bg6UaWzFHJ/cvc5---1.0.5_13778.p...
% 0.20/0.49 ------- get file name : TPTP file name is GRP167-2
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13778.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.52/10.71 --- Run --no-e-matching --full-saturate-quant at 5...
% 12.08/12.30 % SZS status Unsatisfiable for GRP167-2
% 12.08/12.30 % SZS output start Proof for GRP167-2
% 12.08/12.30 (
% 12.08/12.30 (let ((_let_1 (tptp.negative_part tptp.a))) (let ((_let_2 (tptp.positive_part tptp.a))) (let ((_let_3 (tptp.multiply _let_2 _let_1))) (let ((_let_4 (= tptp.a _let_3))) (let ((_let_5 (not _let_4))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.negative_part X) (tptp.greatest_lower_bound X tptp.identity))))) (let ((_let_7 (forall ((X $$unsorted)) (= (tptp.positive_part X) (tptp.least_upper_bound X tptp.identity))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.inverse (tptp.multiply X Y)) (tptp.multiply (tptp.inverse Y) (tptp.inverse X)))))) (let ((_let_9 (forall ((X $$unsorted)) (= (tptp.inverse (tptp.inverse X)) X)))) (let ((_let_10 (tptp.inverse tptp.identity))) (let ((_let_11 (= _let_10 tptp.identity))) (let ((_let_12 (forall ((Y $$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_13 (forall ((Y $$unsorted) (Z $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.least_upper_bound Y Z) X) (tptp.least_upper_bound (tptp.multiply Y X) (tptp.multiply Z X)))))) (let ((_let_14 (forall ((X $$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_15 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply X (tptp.least_upper_bound Y Z)) (tptp.least_upper_bound (tptp.multiply X Y) (tptp.multiply X Z)))))) (let ((_let_16 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)) X)))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)) X)))) (let ((_let_18 (forall ((X $$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))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.greatest_lower_bound X (tptp.greatest_lower_bound Y Z)) (tptp.greatest_lower_bound (tptp.greatest_lower_bound X Y) Z))))) (let ((_let_20 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.least_upper_bound X Y) (tptp.least_upper_bound Y X))))) (let ((_let_21 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greatest_lower_bound X Y) (tptp.greatest_lower_bound Y X))))) (let ((_let_22 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))) (let ((_let_23 (tptp.multiply tptp.a tptp.a))) (let ((_let_24 (tptp.least_upper_bound tptp.a _let_23))) (let ((_let_25 (tptp.least_upper_bound tptp.a tptp.identity))) (let ((_let_26 (tptp.greatest_lower_bound tptp.a _let_25))) (let ((_let_27 (= (tptp.greatest_lower_bound tptp.a (tptp.greatest_lower_bound _let_25 _let_24)) (tptp.greatest_lower_bound _let_26 _let_24)))) (let ((_let_28 (_let_19))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (tptp.multiply tptp.identity _let_2))) (let ((_let_31 (tptp.greatest_lower_bound tptp.identity tptp.a))) (let ((_let_32 (= (tptp.multiply _let_31 _let_2) (tptp.greatest_lower_bound _let_30 (tptp.multiply tptp.a _let_2))))) (let ((_let_33 (= (tptp.multiply _let_1 _let_25) (tptp.least_upper_bound (tptp.multiply _let_1 tptp.a) (tptp.multiply _let_1 tptp.identity))))) (let ((_let_34 (tptp.multiply tptp.identity _let_1))) (let ((_let_35 (tptp.multiply tptp.a _let_1))) (let ((_let_36 (tptp.least_upper_bound _let_35 _let_34))) (let ((_let_37 (= (tptp.least_upper_bound tptp.a _let_36) (tptp.least_upper_bound (tptp.least_upper_bound tptp.a _let_35) _let_34)))) (let ((_let_38 (= (tptp.multiply _let_25 _let_1) _let_36))) (let ((_let_39 (= tptp.a (tptp.greatest_lower_bound tptp.a _let_24)))) (let ((_let_40 (= tptp.a (tptp.least_upper_bound tptp.a (tptp.greatest_lower_bound tptp.a _let_23))))) (let ((_let_41 (tptp.least_upper_bound _let_3 tptp.a))) (let ((_let_42 (= _let_3 (tptp.greatest_lower_bound _let_3 _let_41)))) (let ((_let_43 (= (tptp.least_upper_bound tptp.a _let_3) _let_41))) (let ((_let_44 (= (tptp.greatest_lower_bound tptp.a _let_3) (tptp.greatest_lower_bound _let_3 tptp.a)))) (let ((_let_45 (tptp.multiply tptp.identity tptp.identity))) (let ((_let_46 (tptp.multiply tptp.a tptp.identity))) (let ((_let_47 (tptp.greatest_lower_bound tptp.a tptp.identity))) (let ((_let_48 (= (tptp.multiply _let_47 tptp.identity) (tptp.greatest_lower_bound _let_46 _let_45)))) (let ((_let_49 (tptp.multiply tptp.identity tptp.a))) (let ((_let_50 (= (tptp.multiply _let_47 tptp.a) (tptp.greatest_lower_bound _let_23 _let_49)))) (let ((_let_51 (= (tptp.multiply tptp.a _let_31) (tptp.greatest_lower_bound _let_46 _let_23)))) (let ((_let_52 (tptp.least_upper_bound tptp.identity tptp.a))) (let ((_let_53 (= (tptp.multiply tptp.a _let_52) (tptp.least_upper_bound _let_46 _let_23)))) (let ((_let_54 (= _let_2 _let_30))) (let ((_let_55 (tptp.inverse _let_46))) (let ((_let_56 (= _let_46 (tptp.inverse _let_55)))) (let ((_let_57 (tptp.inverse tptp.a))) (let ((_let_58 (= _let_57 (tptp.multiply tptp.identity _let_57)))) (let ((_let_59 (= _let_55 (tptp.multiply _let_10 _let_57)))) (let ((_let_60 (= (tptp.multiply tptp.a _let_47) (tptp.greatest_lower_bound _let_23 _let_46)))) (let ((_let_61 (= tptp.a _let_26))) (let ((_let_62 (= _let_1 _let_34))) (let ((_let_63 (= tptp.a (tptp.least_upper_bound tptp.a _let_47)))) (let ((_let_64 (= tptp.a _let_49))) (let ((_let_65 (= _let_1 _let_47))) (let ((_let_66 (= _let_2 _let_25))) (let ((_let_67 (= tptp.a (tptp.inverse _let_57)))) (let ((_let_68 (= _let_52 _let_25))) (let ((_let_69 (= _let_31 _let_47))) (let ((_let_70 (= tptp.identity _let_45))) (let ((_let_71 (= tptp.identity _let_10))) (let ((_let_72 (not _let_27))) (let ((_let_73 (_let_12))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 (_let_15))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 (_let_18))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 (_let_13))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.greatest_lower_bound X (tptp.least_upper_bound X Y)))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 (tptp.a _let_23 QUANTIFIERS_INST_ENUM))) (let ((_let_85 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.least_upper_bound X (tptp.greatest_lower_bound X Y)))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (_let_85))) (let ((_let_88 (_let_20))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 (tptp.a _let_3 QUANTIFIERS_INST_ENUM))) (let ((_let_91 (_let_21))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (tptp.a tptp.identity tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_94 (_let_14))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (_let_96))) (let ((_let_99 (forall ((X $$unsorted)) (= X (tptp.inverse (tptp.inverse X)))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (_let_99))) (let ((_let_102 (_let_8))) (let ((_let_103 (ASSUME :args _let_102))) (let ((_let_104 (tptp.a tptp.identity QUANTIFIERS_INST_ENUM))) (let ((_let_105 (tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_106 (_let_6))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 (tptp.a QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_109 (_let_7))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 (tptp.identity tptp.a QUANTIFIERS_INST_ENUM))) (let ((_let_112 (SYMM (ASSUME :args (_let_11))))) (let ((_let_113 (ASSUME :args (_let_5)))) (let ((_let_114 (and _let_5 _let_71 _let_70 _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_56 _let_54 _let_53 _let_51 _let_50 _let_48 _let_44 _let_43 _let_42 _let_40 _let_39 _let_38 _let_37 _let_33 _let_32))) (let ((_let_115 (ASSUME :args (_let_42)))) (let ((_let_116 (APPLY_UF tptp.greatest_lower_bound))) (let ((_let_117 (ASSUME :args (_let_43)))) (let ((_let_118 (APPLY_UF tptp.least_upper_bound))) (let ((_let_119 (APPLY_UF tptp.multiply))) (let ((_let_120 (REFL :args (_let_1)))) (let ((_let_121 (ASSUME :args (_let_66)))) (let ((_let_122 (SYMM _let_121))) (let ((_let_123 (CONG _let_122 _let_120 :args _let_119))) (let ((_let_124 (ASSUME :args (_let_38)))) (let ((_let_125 (SYMM _let_124))) (let ((_let_126 (REFL :args (tptp.a)))) (let ((_let_127 (ASSUME :args (_let_37)))) (let ((_let_128 (ASSUME :args (_let_62)))) (let ((_let_129 (SYMM (SYMM _let_128)))) (let ((_let_130 (ASSUME :args (_let_65)))) (let ((_let_131 (SYMM _let_130))) (let ((_let_132 (CONG _let_126 _let_131 :args _let_119))) (let ((_let_133 (ASSUME :args (_let_69)))) (let ((_let_134 (SYMM (SYMM _let_133)))) (let ((_let_135 (ASSUME :args (_let_51)))) (let ((_let_136 (REFL :args (_let_23)))) (let ((_let_137 (ASSUME :args (_let_56)))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (ASSUME :args (_let_59)))) (let ((_let_140 (ASSUME :args (_let_58)))) (let ((_let_141 (CONG (TRANS (SYMM (SYMM _let_140)) (CONG (SYMM (SYMM _let_112)) (REFL :args (_let_57)) :args _let_119) (SYMM _let_139)) :args (APPLY_UF tptp.inverse)))) (let ((_let_142 (ASSUME :args (_let_67)))) (let ((_let_143 (SYMM (SYMM _let_142)))) (let ((_let_144 (TRANS _let_143 _let_141 _let_138))) (let ((_let_145 (ASSUME :args (_let_40)))) (let ((_let_146 (ASSUME :args (_let_63)))) (let ((_let_147 (ASSUME :args (_let_44)))) (let ((_let_148 (ASSUME :args (_let_70)))) (let ((_let_149 (ASSUME :args (_let_48)))) (let ((_let_150 (ASSUME :args (_let_60)))) (let ((_let_151 (ASSUME :args (_let_64)))) (let ((_let_152 (ASSUME :args (_let_50)))) (let ((_let_153 (ASSUME :args (_let_33)))) (let ((_let_154 (ASSUME :args (_let_32)))) (let ((_let_155 (ASSUME :args (_let_68)))) (let ((_let_156 (ASSUME :args (_let_53)))) (let ((_let_157 (ASSUME :args (_let_54)))) (let ((_let_158 (ASSUME :args (_let_39)))) (let ((_let_159 (ASSUME :args (_let_61)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.a _let_25 _let_24 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_28)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_114)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_158 _let_159 _let_113 _let_115 _let_117 _let_121 _let_124 _let_127 _let_130 _let_133 _let_135 _let_137 _let_139 _let_112 _let_148 _let_140 _let_142 _let_145 _let_128 _let_146 _let_147 _let_150 _let_151 _let_152 _let_149 _let_153 _let_154 _let_157 _let_155 _let_156) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (SYMM _let_159) (REFL :args (_let_24)) :args _let_116) (SYMM _let_158)) (TRANS (CONG _let_126 (TRANS (CONG (TRANS _let_122 (SYMM (SYMM _let_157))) (TRANS (CONG _let_144 _let_136 :args _let_118) (SYMM _let_156) (CONG _let_126 (SYMM (SYMM _let_155)) :args _let_119) (CONG _let_126 _let_122 :args _let_119)) :args _let_116) (SYMM _let_154) (CONG (TRANS _let_134 _let_131) (REFL :args (_let_2)) :args _let_119) (CONG _let_120 _let_121 :args _let_119) (SYMM (SYMM _let_153)) (CONG (TRANS (CONG _let_130 _let_126 :args _let_119) (SYMM (SYMM _let_152)) (CONG _let_136 (TRANS (SYMM _let_151) _let_143 _let_141 _let_138) :args _let_116) (SYMM _let_150) _let_132) (TRANS (CONG _let_130 (REFL :args (tptp.identity)) :args _let_119) (SYMM (SYMM _let_149)) (CONG (SYMM _let_144) (SYMM _let_148) :args _let_116) _let_131 _let_129) :args _let_118) _let_125 _let_123) :args _let_116) (SYMM (SYMM _let_147)) (CONG (REFL :args (_let_3)) (TRANS (SYMM (SYMM _let_146)) (CONG _let_126 _let_131 :args _let_118) (CONG (TRANS (SYMM (SYMM _let_145)) (CONG _let_126 (TRANS (CONG _let_144 _let_136 :args _let_116) (SYMM _let_135) (CONG _let_126 _let_134 :args _let_119) _let_132) :args _let_118)) _let_129 :args _let_118) (SYMM _let_127) (CONG _let_126 (TRANS _let_125 _let_123) :args _let_118) (SYMM (SYMM _let_117))) :args _let_116) (SYMM _let_115)) :args (=)) (FALSE_INTRO _let_113)) :args ((= _let_27 false)))) :args (_let_39 _let_61 _let_5 _let_42 _let_43 _let_66 _let_38 _let_37 _let_65 _let_69 _let_51 _let_56 _let_59 _let_71 _let_70 _let_58 _let_67 _let_40 _let_62 _let_63 _let_44 _let_60 _let_64 _let_50 _let_48 _let_33 _let_32 _let_54 _let_68 _let_53))) :args (_let_5 _let_71 _let_70 _let_69 _let_68 _let_67 _let_66 _let_65 _let_64 _let_63 _let_62 _let_61 _let_60 _let_59 _let_58 _let_56 _let_54 _let_53 _let_51 _let_50 _let_48 _let_44 _let_43 _let_42 _let_40 _let_39 _let_38 _let_37 _let_33 _let_32))) :args (true _let_114)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args ((not _let_71))) (REFL :args ((not _let_70))) (REFL :args ((not _let_69))) (REFL :args ((not _let_68))) (REFL :args ((not _let_67))) (REFL :args ((not _let_66))) (REFL :args ((not _let_65))) (REFL :args ((not _let_64))) (REFL :args ((not _let_63))) (REFL :args ((not _let_62))) (REFL :args ((not _let_61))) (REFL :args ((not _let_60))) (REFL :args ((not _let_59))) (REFL :args ((not _let_58))) (REFL :args ((not _let_56))) (REFL :args ((not _let_54))) (REFL :args ((not _let_53))) (REFL :args ((not _let_51))) (REFL :args ((not _let_50))) (REFL :args ((not _let_48))) (REFL :args ((not _let_44))) (REFL :args ((not _let_43))) (REFL :args ((not _let_42))) (REFL :args ((not _let_40))) (REFL :args ((not _let_39))) (REFL :args ((not _let_38))) (REFL :args ((not _let_37))) (REFL :args ((not _let_33))) (REFL :args ((not _let_32))) (REFL :args (_let_72)) :args (or))) _let_113 _let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_98)) _let_97 :args (_let_70 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args _let_111) :args _let_91)) _let_92 :args (_let_69 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args _let_111) :args _let_88)) _let_89 :args (_let_68 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args _let_105) :args _let_101)) _let_100 :args (_let_67 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args _let_108) :args _let_109)) _let_110 :args (_let_66 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args _let_108) :args _let_106)) _let_107 :args (_let_65 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args _let_105) :args _let_98)) _let_97 :args (_let_64 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.a tptp.identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_87)) _let_86 :args (_let_63 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_1 QUANTIFIERS_INST_ENUM)) :args _let_98)) _let_97 :args (_let_62 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args _let_104) :args _let_83)) _let_82 :args (_let_61 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.a tptp.a tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_94)) _let_95 :args (_let_60 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args _let_104) :args _let_102)) _let_103 :args (_let_59 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_57 QUANTIFIERS_INST_CBQI_PROP)) :args _let_98)) _let_97 :args (_let_58 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_46 QUANTIFIERS_INST_CBQI_PROP)) :args _let_101)) _let_100 :args (_let_56 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_2 QUANTIFIERS_INST_ENUM)) :args _let_98)) _let_97 :args (_let_54 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args _let_93) :args _let_75)) _let_76 :args (_let_53 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args _let_93) :args _let_94)) _let_95 :args (_let_51 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args _let_93) :args _let_73)) _let_74 :args (_let_50 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a tptp.identity tptp.identity QUANTIFIERS_INST_ENUM)) :args _let_73)) _let_74 :args (_let_48 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args _let_90) :args _let_91)) _let_92 :args (_let_44 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args _let_90) :args _let_88)) _let_89 :args (_let_43 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_3 tptp.a QUANTIFIERS_INST_ENUM)) :args _let_83)) _let_82 :args (_let_42 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args _let_84) :args _let_87)) _let_86 :args (_let_40 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args _let_84) :args _let_83)) _let_82 :args (_let_39 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.a tptp.identity _let_1 QUANTIFIERS_INST_ENUM)) :args _let_79)) _let_80 :args (_let_38 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.a _let_35 _let_34 QUANTIFIERS_INST_CBQI_PROP)) :args _let_77)) _let_78 :args (_let_37 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_1 tptp.a tptp.identity QUANTIFIERS_INST_CBQI_PROP)) :args _let_75)) _let_76 :args (_let_33 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.identity tptp.a _let_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_73)) _let_74 :args (_let_32 false _let_12)) :args (_let_72 true _let_4 false _let_71 false _let_70 false _let_69 false _let_68 false _let_67 false _let_66 false _let_65 false _let_64 false _let_63 false _let_62 false _let_61 false _let_60 false _let_59 false _let_58 false _let_56 false _let_54 false _let_53 false _let_51 false _let_50 false _let_48 false _let_44 false _let_43 false _let_42 false _let_40 false _let_39 false _let_38 false _let_37 false _let_33 false _let_32)) _let_29 :args (false true _let_27 false _let_19)) :args (_let_22 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) _let_21 _let_20 _let_19 _let_18 (forall ((X $$unsorted)) (= (tptp.least_upper_bound X X) X)) (forall ((X $$unsorted)) (= (tptp.greatest_lower_bound X X) X)) _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_9 _let_8 _let_7 _let_6 (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_5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.08/12.30 )
% 12.08/12.31 % SZS output end Proof for GRP167-2
% 12.08/12.31 % cvc5---1.0.5 exiting
% 12.08/12.31 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------