TSTP Solution File: MGT037-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : MGT037-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 09:09:08 EDT 2023
% Result : Unsatisfiable 0.21s 0.57s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : MGT037-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n006.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 : Mon Aug 28 06:08:37 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.EbMY20JDcy/cvc5---1.0.5_32457.p...
% 0.21/0.51 ------- get file name : TPTP file name is MGT037-1
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_32457.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.57 % SZS status Unsatisfiable for MGT037-1
% 0.21/0.57 % SZS output start Proof for MGT037-1
% 0.21/0.58 (
% 0.21/0.58 (let ((_let_1 (tptp.cardinality_at_time tptp.efficient_producers tptp.sk4))) (let ((_let_2 (tptp.greater _let_1 tptp.zero))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.greater_or_equal tptp.sk4 (tptp.appear tptp.efficient_producers tptp.sk3)))) (let ((_let_5 (tptp.in_environment tptp.sk3 tptp.sk4))) (let ((_let_6 (tptp.environment tptp.sk3))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.subpopulation B A C)) (not (tptp.greater (tptp.cardinality_at_time B C) tptp.zero)) (= B tptp.efficient_producers) (= B tptp.first_movers))))) (let ((_let_8 (tptp.resilience tptp.efficient_producers))) (let ((_let_9 (tptp.greater _let_8 (tptp.resilience tptp.first_movers)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (tptp.greater tptp.zero (tptp.growth_rate C B)) (not (tptp.greater (tptp.resilience D) (tptp.resilience C))) (not (tptp.greater tptp.zero (tptp.growth_rate D B))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (not (tptp.constant (tptp.resources A B))) (tptp.constant (tptp.number_of_organizations A B)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (not (tptp.decreases (tptp.resources A B))) (not (tptp.decreases (tptp.number_of_organizations A B))))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (not (tptp.greater_or_equal B (tptp.appear tptp.an_organisation A))) (tptp.greater (tptp.number_of_organizations A B) tptp.zero))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (not (tptp.greater (tptp.number_of_organizations A B) tptp.zero)) (tptp.greater (tptp.equilibrium A) B) (tptp.constant (tptp.resources A B)))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (not (tptp.greater (tptp.number_of_organizations A B) tptp.zero)) (not (tptp.greater (tptp.equilibrium A) B)) (tptp.decreases (tptp.resources A B)))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.appear tptp.an_organisation A))) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (tptp.greater_or_equal B _let_1) (tptp.greater _let_1 B)))))) (let ((_let_17 (forall ((A $$unsorted)) (or (not (tptp.constant A)) (not (tptp.decreases A)))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.cardinality_at_time tptp.efficient_producers B))) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (= _let_1 tptp.zero) (tptp.greater _let_1 tptp.zero)))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted)) (or (not (= (tptp.cardinality_at_time A B) tptp.zero)) (not (tptp.greater tptp.zero (tptp.growth_rate A B))))))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (tptp.subpopulation tptp.efficient_producers A B))))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (not (= (tptp.number_of_organizations A B) tptp.zero)) (not (tptp.subpopulation C A B)) (= (tptp.cardinality_at_time C B) tptp.zero))))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (tptp.decreases (tptp.number_of_organizations A B)) (not (tptp.greater tptp.zero (tptp.growth_rate (tptp.sk2 B A) B))))))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (tptp.decreases (tptp.number_of_organizations A B)) (tptp.greater (tptp.cardinality_at_time (tptp.sk2 B A) B) tptp.zero))))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (tptp.decreases (tptp.number_of_organizations A B)) (tptp.subpopulation (tptp.sk2 B A) A B))))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (not (tptp.greater (tptp.appear tptp.an_organisation A) B)) (= (tptp.number_of_organizations A B) tptp.zero))))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.greater_or_equal B (tptp.appear tptp.efficient_producers A))) (not (= (tptp.cardinality_at_time tptp.efficient_producers B) tptp.zero)) (tptp.greater tptp.zero (tptp.growth_rate tptp.efficient_producers (tptp.sk1 B A))))))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.greater_or_equal B (tptp.appear tptp.efficient_producers A))) (not (= (tptp.cardinality_at_time tptp.efficient_producers B) tptp.zero)) (tptp.in_environment A (tptp.sk1 B A)))))) (let ((_let_28 (tptp.sk1 tptp.sk4 tptp.sk3))) (let ((_let_29 (tptp.in_environment tptp.sk3 _let_28))) (let ((_let_30 (tptp.resources tptp.sk3 _let_28))) (let ((_let_31 (tptp.constant _let_30))) (let ((_let_32 (tptp.greater (tptp.equilibrium tptp.sk3) _let_28))) (let ((_let_33 (tptp.number_of_organizations tptp.sk3 _let_28))) (let ((_let_34 (tptp.greater _let_33 tptp.zero))) (let ((_let_35 (not _let_34))) (let ((_let_36 (not _let_29))) (let ((_let_37 (not _let_6))) (let ((_let_38 (or _let_37 _let_36 _let_35 _let_32 _let_31))) (let ((_let_39 (ASSUME :args (_let_6)))) (let ((_let_40 (= tptp.zero _let_1))) (let ((_let_41 (not _let_40))) (let ((_let_42 (not _let_4))) (let ((_let_43 (or _let_37 _let_42 _let_41 _let_29))) (let ((_let_44 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.greater_or_equal B (tptp.appear tptp.efficient_producers A))) (not (= tptp.zero (tptp.cardinality_at_time tptp.efficient_producers B))) (tptp.in_environment A (tptp.sk1 B A)))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (not _let_5))) (let ((_let_47 (or _let_37 _let_46 _let_40 _let_2))) (let ((_let_48 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.cardinality_at_time tptp.efficient_producers B))) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (= tptp.zero _let_1) (tptp.greater _let_1 tptp.zero)))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_2 _let_37 _let_46 _let_40 (not _let_47)))) (ASSUME :args (_let_3)) _let_39 (ASSUME :args (_let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.sk3 tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment A B) false))))) :args (_let_48))) _let_49 :args (_let_47 false _let_48)) :args (_let_40 true _let_2 false _let_6 false _let_5 false _let_47)))) (let ((_let_51 (ASSUME :args (_let_4)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_37 _let_42 _let_41 _let_29 (not _let_43)))) _let_39 _let_51 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.sk3 tptp.sk4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.greater_or_equal B (tptp.appear tptp.efficient_producers A)) false))))) :args (_let_44))) _let_45 :args (_let_43 false _let_44)) :args (_let_29 false _let_6 false _let_4 false _let_40 false _let_43)))) (let ((_let_53 (_let_14))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (tptp.constant _let_33))) (let ((_let_56 (not _let_31))) (let ((_let_57 (or _let_37 _let_36 _let_56 _let_55))) (let ((_let_58 (_let_11))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (tptp.decreases _let_33))) (let ((_let_61 (not _let_60))) (let ((_let_62 (not _let_55))) (let ((_let_63 (or _let_62 _let_61))) (let ((_let_64 (_let_17))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (tptp.sk2 _let_28 tptp.sk3))) (let ((_let_67 (tptp.subpopulation _let_66 tptp.sk3 _let_28))) (let ((_let_68 (or _let_37 _let_36 _let_60 _let_67))) (let ((_let_69 (tptp.greater (tptp.cardinality_at_time _let_66 _let_28) tptp.zero))) (let ((_let_70 (or _let_37 _let_36 _let_60 _let_69))) (let ((_let_71 (tptp.greater tptp.zero (tptp.growth_rate _let_66 _let_28)))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_37 _let_36 _let_60 _let_72))) (let ((_let_74 (tptp.greater tptp.zero (tptp.growth_rate tptp.efficient_producers _let_28)))) (let ((_let_75 (= tptp.efficient_producers _let_66))) (let ((_let_76 (not _let_74))) (let ((_let_77 (tptp.greater _let_8 (tptp.resilience _let_66)))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_37 _let_36 _let_71 _let_78 _let_76))) (let ((_let_80 (= tptp.first_movers _let_66))) (let ((_let_81 (not _let_69))) (let ((_let_82 (not _let_67))) (let ((_let_83 (or _let_37 _let_82 _let_81 _let_75 _let_80))) (let ((_let_84 (_let_24))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (_let_23))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 (_let_22))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 (or _let_37 _let_42 _let_41 _let_74))) (let ((_let_91 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.greater_or_equal B (tptp.appear tptp.efficient_producers A))) (not (= tptp.zero (tptp.cardinality_at_time tptp.efficient_producers B))) (tptp.greater tptp.zero (tptp.growth_rate tptp.efficient_producers (tptp.sk1 B A))))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_37 _let_42 _let_41 _let_74 (not _let_90)))) _let_39 _let_51 _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.sk3 tptp.sk4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.greater_or_equal B (tptp.appear tptp.efficient_producers A)) false))))) :args (_let_91))) _let_92 :args (_let_90 false _let_91)) :args (_let_74 false _let_6 false _let_4 false _let_40 false _let_90)))) (let ((_let_94 (or))) (let ((_let_95 (ASSUME :args (_let_72)))) (let ((_let_96 (APPLY_UF tptp.greater))) (let ((_let_97 (ASSUME :args (_let_75)))) (let ((_let_98 (ASSUME :args (_let_74)))) (let ((_let_99 (_let_10))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.subpopulation B A C)) (not (tptp.greater (tptp.cardinality_at_time B C) tptp.zero)) (= tptp.efficient_producers B) (= tptp.first_movers B))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (ASSUME :args (_let_9)))) (let ((_let_104 (ASSUME :args (_let_78)))) (let ((_let_105 (ASSUME :args (_let_80)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_104 _let_105 _let_103) :args (_let_9 _let_80 _let_78)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_103)) (CONG (REFL :args (_let_8)) (CONG (SYMM (SYMM _let_105)) :args (APPLY_UF tptp.resilience)) :args _let_96) (FALSE_INTRO _let_104))) :args (_let_78 _let_80 _let_9)) :args ((not (and _let_9 _let_80 _let_78)) SB_LITERAL))) (CONG (REFL :args ((not _let_9))) (REFL :args ((not _let_80))) (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) :args _let_94)) _let_103 (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_37 _let_82 _let_81 _let_75 _let_80 (not _let_83)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.sk3 _let_66 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulation B A C) false))))) :args (_let_101))) _let_102 :args (_let_83 false _let_101)) _let_39 (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_37 _let_36 _let_76 _let_71 _let_78 (not _let_79)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.sk3 _let_28 _let_66 tptp.efficient_producers QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.greater (tptp.resilience D) (tptp.resilience C)) false)) (tptp.growth_rate D B) (not (= (tptp.environment A) false))))) :args _let_99)) _let_100 :args (_let_79 false _let_10)) _let_93 _let_52 _let_39 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_95 _let_97 _let_98) :args (_let_74 _let_72 _let_75)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_98)) (CONG (REFL :args (tptp.zero)) (CONG (SYMM (SYMM _let_97)) (REFL :args (_let_28)) :args (APPLY_UF tptp.growth_rate)) :args _let_96) (FALSE_INTRO _let_95))) :args (_let_72 _let_75 _let_74)) :args ((not (and _let_74 _let_72 _let_75)) SB_LITERAL))) (CONG (REFL :args (_let_76)) (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_71))) (REFL :args ((not _let_75))) :args _let_94)) _let_93 (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_37 _let_36 _let_60 _let_72 (not _let_73)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.sk3 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment A B) false))))) :args _let_88)) _let_89 :args (_let_73 false _let_22)) _let_52 _let_39 (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_37 _let_36 _let_60 _let_69 (not _let_70)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.sk3 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment A B) false))))) :args _let_86)) _let_87 :args (_let_70 false _let_23)) _let_52 _let_39 (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_37 _let_36 _let_60 _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.sk3 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment A B) false))))) :args _let_84)) _let_85 :args (_let_68 false _let_24)) _let_52 _let_39 :args (_let_60 false _let_9 false _let_80 false _let_83 false _let_6 true _let_77 false _let_79 false _let_74 false _let_29 false _let_6 true _let_75 false _let_74 true _let_71 false _let_73 false _let_29 false _let_6 false _let_69 false _let_70 false _let_29 false _let_6 false _let_67 false _let_68 false _let_29 false _let_6)))) (let ((_let_107 (tptp.appear tptp.an_organisation tptp.sk3))) (let ((_let_108 (tptp.greater_or_equal _let_28 _let_107))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_37 _let_36 _let_109 _let_34))) (let ((_let_111 (_let_13))) (let ((_let_112 (ASSUME :args _let_111))) (let ((_let_113 (tptp.greater _let_107 _let_28))) (let ((_let_114 (or _let_37 _let_36 _let_108 _let_113))) (let ((_let_115 (_let_16))) (let ((_let_116 (ASSUME :args _let_115))) (let ((_let_117 (= tptp.zero _let_33))) (let ((_let_118 (not _let_113))) (let ((_let_119 (or _let_37 _let_36 _let_118 _let_117))) (let ((_let_120 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (not (tptp.greater (tptp.appear tptp.an_organisation A) B)) (= tptp.zero (tptp.number_of_organizations A B)))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (= tptp.zero (tptp.cardinality_at_time tptp.efficient_producers _let_28)))) (let ((_let_123 (tptp.subpopulation tptp.efficient_producers tptp.sk3 _let_28))) (let ((_let_124 (not _let_123))) (let ((_let_125 (not _let_117))) (let ((_let_126 (or _let_37 _let_36 _let_125 _let_124 _let_122))) (let ((_let_127 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (not (= tptp.zero (tptp.number_of_organizations A B))) (not (tptp.subpopulation C A B)) (= tptp.zero (tptp.cardinality_at_time C B)))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (or _let_37 _let_36 _let_123))) (let ((_let_130 (_let_20))) (let ((_let_131 (ASSUME :args _let_130))) (let ((_let_132 (not _let_122))) (let ((_let_133 (or _let_132 _let_76))) (let ((_let_134 (forall ((A $$unsorted) (B $$unsorted)) (or (not (= tptp.zero (tptp.cardinality_at_time A B))) (not (tptp.greater tptp.zero (tptp.growth_rate A B))))))) (let ((_let_135 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_37 _let_36 _let_34 _let_109 (not _let_110)))) _let_39 _let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_37 _let_36 _let_113 _let_108 (not _let_114)))) _let_39 _let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_37 _let_36 _let_118 _let_117 (not _let_119)))) _let_39 _let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_37 _let_36 _let_122 _let_125 _let_124 (not _let_126)))) _let_39 _let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_76 _let_132 (not _let_133)))) _let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (tptp.efficient_producers _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.growth_rate A B)))) :args (_let_134))) _let_135 :args (_let_133 false _let_134)) :args (_let_132 false _let_74 false _let_133)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_37 _let_36 _let_123 (not _let_129)))) _let_39 _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.sk3 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment A B) false))))) :args _let_130)) _let_131 :args (_let_129 false _let_20)) :args (_let_123 false _let_6 false _let_29 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.sk3 _let_28 tptp.efficient_producers QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulation C A B) false))))) :args (_let_127))) _let_128 :args (_let_126 false _let_127)) :args (_let_125 false _let_6 false _let_29 true _let_122 false _let_123 false _let_126)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.sk3 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment A B) false))))) :args (_let_120))) _let_121 :args (_let_119 false _let_120)) :args (_let_118 false _let_6 false _let_29 true _let_117 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (tptp.sk3 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment A B) false))))) :args _let_115)) _let_116 :args (_let_114 false _let_16)) :args (_let_108 false _let_6 false _let_29 true _let_113 false _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.sk3 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment A B) false))))) :args _let_111)) _let_112 :args (_let_110 false _let_13)) :args (_let_34 false _let_6 false _let_29 false _let_108 false _let_110)))) (let ((_let_137 (tptp.decreases _let_30))) (let ((_let_138 (not _let_32))) (let ((_let_139 (or _let_37 _let_36 _let_35 _let_138 _let_137))) (let ((_let_140 (_let_15))) (let ((_let_141 (ASSUME :args _let_140))) (let ((_let_142 (not _let_137))) (let ((_let_143 (or _let_37 _let_36 _let_142 _let_61))) (let ((_let_144 (_let_12))) (let ((_let_145 (ASSUME :args _let_144))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_36 _let_35 _let_32 _let_31 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_37 _let_36 _let_35 _let_138 _let_137 (not _let_139)))) _let_39 _let_52 _let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_37 _let_36 _let_142 _let_61 (not _let_143)))) _let_39 _let_52 _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (tptp.sk3 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment A B) false))))) :args _let_144)) _let_145 :args (_let_143 false _let_12)) :args (_let_142 false _let_6 false _let_29 false _let_60 false _let_143)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (tptp.sk3 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment A B) false))))) :args _let_140)) _let_141 :args (_let_139 false _let_15)) :args (_let_138 false _let_6 false _let_29 false _let_34 true _let_137 false _let_139)) _let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_37 _let_36 _let_56 _let_55 (not _let_57)))) _let_39 _let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_61 _let_62 (not _let_63)))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.constant A) false))))) :args _let_64)) _let_65 :args (_let_63 false _let_17)) :args (_let_62 false _let_60 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.sk3 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment A B) false))))) :args _let_58)) _let_59 :args (_let_57 false _let_11)) :args (_let_56 false _let_6 false _let_29 true _let_55 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.sk3 _let_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment A B) false))))) :args _let_53)) _let_54 :args (_let_38 false _let_14)) _let_52 _let_39 :args (false true _let_32 false _let_34 true _let_31 false _let_38 false _let_29 false _let_6)) :args ((forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.appear tptp.efficient_producers A))) (or (not (tptp.environment A)) (not (tptp.greater_or_equal B _let_1)) (not (= (tptp.cardinality_at_time tptp.efficient_producers B) tptp.zero)) (tptp.greater (tptp.sk1 B A) _let_1)))) _let_27 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.greater_or_equal B (tptp.appear tptp.efficient_producers A))) (not (= (tptp.cardinality_at_time tptp.efficient_producers B) tptp.zero)) (tptp.greater B (tptp.sk1 B A)))) _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (tptp.subpopulation tptp.first_movers A B))) _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_7 _let_6 _let_5 _let_4 _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.58 )
% 0.21/0.58 % SZS output end Proof for MGT037-1
% 0.21/0.59 % cvc5---1.0.5 exiting
% 0.21/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------