TSTP Solution File: MGT029-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MGT029-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 09:09:02 EDT 2023

% Result   : Unsatisfiable 0.20s 0.62s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : MGT029-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 28 06:22:53 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.xhQzRYJjzg/cvc5---1.0.5_15789.p...
% 0.20/0.49  ------- get file name : TPTP file name is MGT029-1
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15789.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.62  % SZS status Unsatisfiable for MGT029-1
% 0.20/0.62  % SZS output start Proof for MGT029-1
% 0.20/0.64  (
% 0.20/0.64  (let ((_let_1 (forall ((A $$unsorted)) (let ((_let_1 (tptp.sk4 A))) (or (not (tptp.in_environment tptp.sk3 A)) (not (tptp.greater (tptp.growth_rate tptp.efficient_producers _let_1) tptp.zero)) (not (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers _let_1)))))))) (let ((_let_2 (forall ((A $$unsorted)) (or (not (tptp.in_environment tptp.sk3 A)) (tptp.greater_or_equal (tptp.sk4 A) A))))) (let ((_let_3 (forall ((A $$unsorted)) (or (not (tptp.in_environment tptp.sk3 A)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk3 (tptp.sk4 A)))))) (let ((_let_4 (tptp.stable tptp.sk3))) (let ((_let_5 (tptp.environment tptp.sk3))) (let ((_let_6 (forall ((A $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (tptp.greater_or_equal (tptp.sk2 A) (tptp.equilibrium A)))))) (let ((_let_7 (forall ((A $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (tptp.in_environment A (tptp.sk2 A)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.sk1 A))) (tptp.greater (tptp.growth_rate tptp.efficient_producers B) (tptp.growth_rate tptp.first_movers B)))))) (let ((_let_9 (forall ((A $$unsorted)) (or (not (tptp.environment A)) (not (tptp.stable A)) (tptp.in_environment A (tptp.sk1 A)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.efficient_producers B))) (or (not (tptp.environment A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.equilibrium A))) (= _let_1 tptp.zero) (tptp.greater tptp.zero _let_1) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers B))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.first_movers B))) (or (not (tptp.environment A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.equilibrium A))) (= (tptp.growth_rate tptp.efficient_producers B) tptp.zero) (tptp.greater _let_1 tptp.zero) (tptp.greater tptp.zero _let_1)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.efficient_producers B))) (or (not (tptp.environment A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.equilibrium A))) (= _let_1 tptp.zero) (tptp.greater (tptp.growth_rate tptp.first_movers B) tptp.zero) (tptp.greater _let_1 tptp.zero)))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.first_movers B))) (or (not (tptp.environment A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.equilibrium A))) (= _let_1 tptp.zero) (tptp.greater tptp.zero (tptp.growth_rate tptp.efficient_producers B)) (tptp.greater tptp.zero _let_1)))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.first_movers B))) (or (not (tptp.environment A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.equilibrium A))) (= _let_1 tptp.zero) (tptp.greater _let_1 tptp.zero) (tptp.greater tptp.zero _let_1)))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.first_movers B))) (or (not (tptp.environment A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.equilibrium A))) (= _let_1 tptp.zero) (tptp.greater _let_1 tptp.zero) (tptp.greater (tptp.growth_rate tptp.efficient_producers B) tptp.zero)))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.greater A B)) (tptp.greater_or_equal A B))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.greater_or_equal A B)) (tptp.greater A B) (= A B))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.in_environment A B)) (not (tptp.in_environment A C)) (tptp.greater C B) (= C B) (tptp.greater B C))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.greater A B)) (not (tptp.greater B C)) (tptp.greater A C))))) (let ((_let_20 (tptp.sk2 tptp.sk3))) (let ((_let_21 (tptp.sk4 _let_20))) (let ((_let_22 (tptp.growth_rate tptp.first_movers _let_21))) (let ((_let_23 (tptp.growth_rate tptp.efficient_producers _let_21))) (let ((_let_24 (tptp.greater _let_23 _let_22))) (let ((_let_25 (tptp.greater _let_23 tptp.zero))) (let ((_let_26 (= tptp.zero _let_22))) (let ((_let_27 (tptp.sk1 tptp.sk3))) (let ((_let_28 (tptp.greater_or_equal _let_21 _let_27))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk3 _let_21))) (let ((_let_31 (not _let_30))) (let ((_let_32 (not _let_4))) (let ((_let_33 (not _let_5))) (let ((_let_34 (or _let_33 _let_32 _let_31 _let_29 _let_24))) (let ((_let_35 (_let_8))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B) false))))) (let ((_let_38 (tptp.greater _let_21 _let_27))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_28))) (let ((_let_41 (_let_16))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((not (= (tptp.greater_or_equal A B) true))))) (let ((_let_44 (tptp.greater _let_20 _let_27))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.greater _let_21 _let_20))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45 _let_38))) (let ((_let_49 (_let_19))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (not (= (tptp.greater B C) false)))) (let ((_let_52 (not (= (tptp.greater A B) false)))) (let ((_let_53 (_let_52 _let_51))) (let ((_let_54 (= _let_20 _let_21))) (let ((_let_55 (tptp.greater_or_equal _let_21 _let_20))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_46 _let_54))) (let ((_let_58 (_let_17))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 ((not (= (tptp.greater_or_equal A B) false))))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_21 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_58))) _let_59 :args (_let_57 false _let_17)))) (let ((_let_62 (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk3 _let_20))) (let ((_let_63 (tptp.growth_rate tptp.first_movers _let_20))) (let ((_let_64 (tptp.growth_rate tptp.efficient_producers _let_20))) (let ((_let_65 (tptp.greater _let_64 _let_63))) (let ((_let_66 (tptp.greater _let_27 _let_20))) (let ((_let_67 (tptp.greater_or_equal _let_20 _let_27))) (let ((_let_68 (not _let_67))) (let ((_let_69 (not _let_62))) (let ((_let_70 (or _let_33 _let_32 _let_69 _let_68 _let_65))) (let ((_let_71 (not _let_54))) (let ((_let_72 (tptp.in_environment tptp.sk3 _let_20))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_30))) (let ((_let_75 (_let_3))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 ((not (= (tptp.in_environment tptp.sk3 A) false))))) (let ((_let_78 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_75)))) (let ((_let_79 (or _let_33 _let_32 _let_72))) (let ((_let_80 (_let_7))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.environment A) false))))) :args _let_80)))) (let ((_let_83 (ASSUME :args (_let_4)))) (let ((_let_84 (ASSUME :args (_let_5)))) (let ((_let_85 (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_33 _let_32 _let_72 (not _let_79)))))) (let ((_let_86 (MACRO_RESOLUTION_TRUST _let_85 _let_84 _let_83 (MACRO_RESOLUTION_TRUST _let_82 _let_81 :args (_let_79 false _let_7)) :args (_let_72 false _let_5 false _let_4 false _let_79)))) (let ((_let_87 (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_30 (not _let_74)))))) (let ((_let_88 (MACRO_RESOLUTION_TRUST _let_87 _let_86 (MACRO_RESOLUTION_TRUST _let_78 _let_76 :args (_let_74 false _let_3)) :args (_let_30 false _let_72 false _let_74)))) (let ((_let_89 (or))) (let ((_let_90 (REFL :args (_let_71)))) (let ((_let_91 (ASSUME :args (_let_69)))) (let ((_let_92 (ASSUME :args (_let_54)))) (let ((_let_93 (SYMM _let_92))) (let ((_let_94 (REFL :args (tptp.efficient_producers)))) (let ((_let_95 (REFL :args (tptp.first_movers)))) (let ((_let_96 (ASSUME :args (_let_30)))) (let ((_let_97 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_91 _let_92 _let_96) :args (_let_69 _let_30 _let_54)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_96)) (CONG _let_95 _let_94 (REFL :args (tptp.sk3)) _let_93 :args (APPLY_UF tptp.subpopulations)) (FALSE_INTRO _let_91))) :args (_let_69 _let_54 _let_30)) :args ((not (and _let_69 _let_30 _let_54)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_62))) (REFL :args (_let_31)) _let_90 :args _let_89)))) (let ((_let_98 (tptp.greater _let_23 _let_63))) (let ((_let_99 (= _let_63 _let_64))) (let ((_let_100 (tptp.greater tptp.zero _let_22))) (let ((_let_101 (not _let_100))) (let ((_let_102 (not _let_25))) (let ((_let_103 (or _let_73 _let_102 _let_101))) (let ((_let_104 (tptp.greater tptp.zero _let_63))) (let ((_let_105 (not _let_98))) (let ((_let_106 (tptp.greater tptp.zero _let_23))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_107 _let_105 _let_104))) (let ((_let_109 (tptp.equilibrium tptp.sk3))) (let ((_let_110 (tptp.greater_or_equal _let_21 _let_109))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_33 _let_31 _let_111 _let_26 _let_106 _let_100))) (let ((_let_113 (not _let_65))) (let ((_let_114 (and _let_54 _let_65))) (let ((_let_115 (ASSUME :args (_let_65)))) (let ((_let_116 (TRUE_INTRO _let_115))) (let ((_let_117 (APPLY_UF tptp.greater))) (let ((_let_118 (APPLY_UF tptp.growth_rate))) (let ((_let_119 (CONG _let_95 _let_93 :args _let_118))) (let ((_let_120 (CONG _let_94 _let_93 :args _let_118))) (let ((_let_121 (REFL :args (_let_23)))) (let ((_let_122 (RESOLUTION (CNF_AND_NEG :args (_let_114)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_115 _let_92) (SCOPE (TRUE_ELIM (TRANS (CONG _let_121 (SYMM _let_119) :args _let_117) (CONG _let_120 _let_119 :args _let_117) _let_116)) :args (_let_65 _let_54))) :args (_let_54 _let_65))) :args (true _let_114)))) (let ((_let_123 (tptp.greater _let_63 tptp.zero))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_105 _let_124 _let_25))) (let ((_let_126 (tptp.greater _let_64 tptp.zero))) (let ((_let_127 (tptp.greater_or_equal _let_20 _let_109))) (let ((_let_128 (= tptp.zero _let_64))) (let ((_let_129 (not _let_127))) (let ((_let_130 (or _let_33 _let_69 _let_129 _let_128 _let_123 _let_126))) (let ((_let_131 (= tptp.zero _let_63))) (let ((_let_132 (or _let_33 _let_69 _let_129 _let_131 _let_123 _let_126))) (let ((_let_133 (= tptp.zero _let_23))) (let ((_let_134 (or _let_33 _let_31 _let_111 _let_133 _let_106 _let_100))) (let ((_let_135 (not _let_104))) (let ((_let_136 (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_100))))) (let ((_let_137 (and _let_101 _let_54))) (let ((_let_138 (_let_101 _let_54))) (let ((_let_139 (ASSUME :args (_let_101)))) (let ((_let_140 (FALSE_INTRO _let_139))) (let ((_let_141 (SYMM _let_93))) (let ((_let_142 (REFL :args (tptp.zero)))) (let ((_let_143 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_137)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_139 _let_92) (SCOPE (FALSE_ELIM (TRANS (CONG _let_142 (CONG _let_95 _let_141 :args _let_118) :args _let_117) _let_140)) :args _let_138)) :args _let_138)) :args (true _let_137)) (CONG _let_136 _let_90 (REFL :args (_let_135)) :args _let_89)) :args ((or _let_100 _let_135 _let_71))))) (let ((_let_144 (not (= (tptp.greater A C) true)))) (let ((_let_145 (_let_144 _let_51))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.zero _let_23 _let_63 QUANTIFIERS_INST_E_MATCHING _let_145)) :args _let_49)) _let_50 :args (_let_108 false _let_19)))) (let ((_let_147 (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_104 _let_107 _let_105 (not _let_108)))))) (let ((_let_148 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.first_movers B))) (or (not (tptp.environment A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.equilibrium A))) (= tptp.zero _let_1) (tptp.greater tptp.zero (tptp.growth_rate tptp.efficient_producers B)) (tptp.greater tptp.zero _let_1)))))) (let ((_let_149 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_150 (_let_148))) (let ((_let_151 ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B) false))))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (tptp.sk3 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_151)) :args _let_150)) _let_149 :args (_let_112 false _let_148)))) (let ((_let_153 (tptp.greater _let_21 _let_109))) (let ((_let_154 (not _let_153))) (let ((_let_155 (or _let_154 _let_110))) (let ((_let_156 (tptp.greater _let_20 _let_109))) (let ((_let_157 (not _let_156))) (let ((_let_158 (or _let_47 _let_157 _let_153))) (let ((_let_159 (= _let_20 _let_109))) (let ((_let_160 (or _let_129 _let_156 _let_159))) (let ((_let_161 (or _let_33 _let_32 _let_127))) (let ((_let_162 (_let_6))) (let ((_let_163 (ASSUME :args _let_162))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_161)) :args ((or _let_33 _let_32 _let_127 (not _let_161)))) _let_84 _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.environment A) false))))) :args _let_162)) _let_163 :args (_let_161 false _let_6)) :args (_let_127 false _let_5 false _let_4 false _let_161)))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_20 _let_109 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_58)) _let_59 :args (_let_160 false _let_17)))) (let ((_let_166 (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_129 _let_156 _let_159 (not _let_160)))))) (let ((_let_167 (not _let_159))) (let ((_let_168 (REFL :args (_let_167)))) (let ((_let_169 (ASSUME :args (_let_46)))) (let ((_let_170 (ASSUME :args (_let_159)))) (let ((_let_171 (SYMM _let_170))) (let ((_let_172 (ASSUME :args (_let_154)))) (let ((_let_173 (or _let_73 _let_55))) (let ((_let_174 (_let_2))) (let ((_let_175 (ASSUME :args _let_174))) (let ((_let_176 ((not (= (tptp.in_environment tptp.sk3 A) false))))) (let ((_let_177 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_173)) :args ((or _let_73 _let_55 (not _let_173)))) _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_175 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_176)) :args _let_174)) _let_175 :args (_let_173 false _let_2)) :args (_let_55 false _let_72 false _let_173)))) (let ((_let_178 (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_56 _let_46 _let_54 (not _let_57)))))) (let ((_let_179 (ASSUME :args (_let_111)))) (let ((_let_180 (APPLY_UF tptp.greater_or_equal))) (let ((_let_181 (REFL :args (_let_109)))) (let ((_let_182 (ASSUME :args (_let_127)))) (let ((_let_183 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_179 _let_92 _let_182) :args (_let_127 _let_54 _let_111)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_182)) (CONG _let_141 _let_181 :args _let_180) (FALSE_INTRO _let_179))) :args (_let_111 _let_54 _let_127)) :args ((not (and _let_127 _let_54 _let_111)) SB_LITERAL))) (CONG (REFL :args (_let_129)) _let_90 (MACRO_SR_PRED_INTRO :args ((= (not 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(_let_242 false _let_16)) :args (_let_241 true _let_240 false _let_242)) :args (_let_239 true _let_238)))) (let ((_let_315 (or _let_236 _let_157 _let_235))) (let ((_let_316 (MACRO_SR_PRED_INTRO :args ((= (not _let_239) _let_235))))) (let ((_let_317 (and _let_159 _let_239))) (let ((_let_318 (ASSUME :args _let_310))) (let ((_let_319 (FALSE_INTRO _let_318))) (let ((_let_320 (SYMM _let_171))) (let ((_let_321 (_let_144 _let_52))) (let ((_let_322 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_166 _let_165 _let_164 (REORDERING (CNF_OR_POS :args (_let_315)) :args ((or _let_236 _let_157 _let_235 (not _let_315)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_27 _let_20 _let_109 QUANTIFIERS_INST_E_MATCHING _let_321)) :args _let_49)) _let_50 :args (_let_315 false _let_19)) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_317)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_318 _let_170) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_27)) 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_let_45 _let_47 _let_38 (not _let_48)))) (MACRO_RESOLUTION_TRUST _let_329 _let_273 _let_86 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_339)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_318 _let_333) (SCOPE (FALSE_ELIM (TRANS (CONG _let_334 _let_181 :args _let_117) _let_319)) :args (_let_239 _let_324))) :args (_let_324 _let_239))) :args (true _let_339)) (CONG _let_331 _let_316 (REFL :args (_let_157)) :args _let_89)) :args ((or _let_330 _let_157 _let_235))) _let_314 _let_166 _let_165 _let_164 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_337 _let_170 _let_333 _let_338) :args (_let_324 _let_159 _let_291 _let_262)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_338)) (CONG (REFL :args (_let_237)) (TRANS _let_335 _let_320) :args _let_180) (FALSE_INTRO _let_337))) :args (_let_262 _let_159 _let_324 _let_291)) :args ((not (and _let_324 _let_159 _let_291 _let_262)) SB_LITERAL))) (CONG _let_331 _let_168 (REFL :args 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(MACRO_SR_PRED_ELIM (TRANS (SYMM _let_140) (CONG _let_142 _let_233 :args _let_117) (CONG _let_142 _let_120 :args _let_117) (CONG (TRANS _let_201 _let_233 _let_120) _let_232 :args _let_117) _let_116)) :args (_let_65 _let_54 _let_99 _let_26 _let_101)) :args ((not (and _let_101 _let_54 _let_26 _let_65 _let_99)) SB_LITERAL))) (CONG _let_136 _let_90 _let_194 _let_230 _let_229 :args _let_89)) _let_184 _let_183 _let_152 _let_88 _let_84 _let_147 _let_146 _let_143 _let_206 _let_205 _let_86 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_115 _let_92 _let_231 _let_225 _let_213) :args (_let_128 _let_102 _let_54 _let_65 _let_99)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_214) (CONG _let_120 _let_142 :args _let_117) (CONG (SYMM _let_234) _let_142 :args _let_117) (CONG _let_234 (TRANS _let_226 _let_232) :args _let_117) _let_116)) :args (_let_65 _let_54 _let_99 _let_128 _let_102)) :args ((not (and _let_128 _let_102 _let_54 _let_65 _let_99)) SB_LITERAL))) (CONG _let_224 _let_210 _let_90 _let_230 _let_229 :args _let_89)) :args ((or _let_25 _let_223 _let_71 _let_113 _let_192))) _let_219 _let_218 _let_164 _let_84 _let_215 _let_208 _let_207 _let_97 _let_87 _let_85 _let_84 _let_83 _let_82 _let_81 _let_78 _let_76 _let_228 _let_122 :args ((or _let_25 _let_71 _let_113) false _let_128 false _let_130 false _let_127 false _let_5 true _let_126 true _let_123 false _let_125 false _let_62 false _let_30 false _let_72 false _let_5 false _let_4 false _let_79 false _let_7 false _let_74 false _let_3 false _let_99 false _let_98)) _let_228 _let_122 :args ((or _let_71 _let_113) false _let_26 false _let_110 false _let_112 false _let_30 false _let_5 true _let_106 false _let_108 true _let_104 true _let_100 false _let_103 false _let_72 false _let_25 false _let_99 false _let_98)) _let_97 _let_88 :args (_let_71 false _let_70 false _let_4 false _let_5 false _let_67 true _let_66 true _let_65 false _let_62 false _let_30)) _let_61 :args (_let_46 false _let_55 true _let_54 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_21 _let_20 _let_27 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_49)) _let_50 :args (_let_48 false _let_19)) :args (_let_38 false _let_44 false _let_46 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_21 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_40 false _let_16)) :args (_let_28 false _let_38 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.sk3 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_35)) _let_36 :args (_let_34 false _let_8)) :args (_let_24 false _let_5 false _let_4 false _let_30 false _let_28 false _let_34)))) (let ((_let_341 (not _let_24))) (let ((_let_342 (or _let_107 _let_341 _let_100))) (let ((_let_343 (REFL :args (_let_341)))) (let ((_let_344 (ASSUME :args (_let_133)))) (let ((_let_345 (ASSUME :args (_let_24)))) (let ((_let_346 (SYMM (TRUE_INTRO _let_345)))) (let ((_let_347 (MACRO_RESOLUTION_TRUST _let_206 _let_86 (MACRO_RESOLUTION_TRUST _let_188 _let_183 _let_187 _let_88 _let_84 (REORDERING (CNF_OR_POS :args (_let_342)) :args ((or _let_100 _let_107 _let_341 (not _let_342)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.zero _let_23 _let_22 QUANTIFIERS_INST_E_MATCHING _let_321)) :args _let_49)) _let_50 :args (_let_342 false _let_19)) _let_340 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_345 _let_344 _let_139) :args (_let_101 _let_133 _let_24)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_346 (CONG (SYMM _let_344) (REFL :args (_let_22)) :args _let_117) _let_140)) :args (_let_24 _let_133 _let_101)) :args ((not (and _let_101 _let_133 _let_24)) SB_LITERAL))) (CONG _let_136 _let_191 _let_343 :args _let_89)) _let_340 :args (_let_100 false _let_110 false _let_134 false _let_30 false _let_5 true _let_106 false _let_342 false _let_24 true _let_133 false _let_24)) _let_205 :args (_let_102 false _let_72 false _let_100 false _let_103)))) (let ((_let_348 (tptp.greater _let_22 tptp.zero))) (let ((_let_349 (or _let_33 _let_31 _let_111 _let_26 _let_348 _let_25))) (let ((_let_350 (not _let_348))) (let ((_let_351 (or _let_341 _let_350 _let_25))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_346 (CONG _let_121 _let_200 :args _let_117) _let_214)) :args (_let_102 _let_26 _let_24))) (CONG _let_210 _let_194 _let_343 :args _let_89)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_349)) :args ((or _let_33 _let_25 _let_31 _let_26 _let_111 _let_348 (not _let_349)))) _let_84 _let_347 _let_88 _let_183 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_351)) :args ((or _let_25 _let_350 _let_341 (not _let_351)))) _let_347 _let_340 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_23 _let_22 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_321)) :args _let_49)) _let_50 :args (_let_351 false _let_19)) :args (_let_350 true _let_25 false _let_24 false _let_351)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk3 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_275)) :args _let_222)) _let_221 :args (_let_349 false _let_220)) :args (_let_26 false _let_5 true _let_25 false _let_30 false _let_110 true _let_348 false _let_349)) _let_347 _let_340 :args (false false _let_26 true _let_25 false _let_24)) :args (_let_19 _let_18 _let_17 _let_16 (forall ((A $$unsorted) (B $$unsorted)) (or (not (= A B)) (tptp.greater_or_equal A B))) _let_15 _let_14 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.efficient_producers B))) (or (not (tptp.environment A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.equilibrium A))) (= (tptp.growth_rate tptp.first_movers B) tptp.zero) (tptp.greater tptp.zero _let_1) (tptp.greater _let_1 tptp.zero)))) _let_13 _let_12 _let_11 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.efficient_producers B))) (or (not (tptp.environment A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (not (tptp.greater_or_equal B (tptp.equilibrium A))) (= _let_1 tptp.zero) (tptp.greater tptp.zero _let_1) (tptp.greater _let_1 tptp.zero)))) _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.64  )
% 0.20/0.64  % SZS output end Proof for MGT029-1
% 0.20/0.64  % cvc5---1.0.5 exiting
% 0.20/0.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------