TSTP Solution File: MGT025-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : MGT025-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 09:09:01 EDT 2023
% Result : Unsatisfiable 0.22s 0.53s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT025-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n028.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 06:38:54 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.OChOm1v6ad/cvc5---1.0.5_14697.p...
% 0.22/0.49 ------- get file name : TPTP file name is MGT025-1
% 0.22/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14697.smt2...
% 0.22/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53 % SZS status Unsatisfiable for MGT025-1
% 0.22/0.53 % SZS output start Proof for MGT025-1
% 0.22/0.53 (
% 0.22/0.53 (let ((_let_1 (tptp.growth_rate tptp.first_movers tptp.sk2))) (let ((_let_2 (tptp.greater tptp.zero _let_1))) (let ((_let_3 (tptp.growth_rate tptp.efficient_producers tptp.sk2))) (let ((_let_4 (tptp.greater _let_3 tptp.zero))) (let ((_let_5 (or (not _let_4) (not _let_2)))) (let ((_let_6 (tptp.greater tptp.zero _let_3))) (let ((_let_7 (tptp.greater _let_1 tptp.zero))) (let ((_let_8 (not _let_7))) (let ((_let_9 (or _let_8 (not _let_6)))) (let ((_let_10 (or (not (= _let_1 tptp.zero)) (not (= _let_3 tptp.zero))))) (let ((_let_11 (tptp.number_of_organizations tptp.sk1 tptp.sk2))) (let ((_let_12 (tptp.constant _let_11))) (let ((_let_13 (tptp.subpopulations tptp.first_movers tptp.efficient_producers tptp.sk1 tptp.sk2))) (let ((_let_14 (tptp.environment tptp.sk1))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (tptp.in_environment A B))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers B) tptp.zero))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B)) (tptp.greater (tptp.cardinality_at_time tptp.first_movers B) tptp.zero))))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.cardinality_at_time C B))) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (not (tptp.subpopulation C A B)) (not (tptp.greater _let_1 tptp.zero)) (not (tptp.decreases _let_1)) (tptp.greater tptp.zero (tptp.growth_rate C B))))))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.cardinality_at_time C B))) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (not (tptp.subpopulation C A B)) (not (tptp.greater _let_1 tptp.zero)) (not (tptp.increases _let_1)) (tptp.greater (tptp.growth_rate C B) tptp.zero)))))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.cardinality_at_time C B))) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (not (tptp.subpopulation C A B)) (not (tptp.greater _let_1 tptp.zero)) (not (tptp.constant _let_1)) (= (tptp.growth_rate C B) tptp.zero)))))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= A (tptp.sum B C))) (not (tptp.constant A)) (tptp.constant C) (tptp.decreases C) (tptp.increases C))))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= A (tptp.sum B C))) (not (tptp.constant A)) (tptp.constant C) (tptp.decreases C) (tptp.decreases B))))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= A (tptp.sum B C))) (not (tptp.constant A)) (tptp.constant C) (tptp.increases B) (tptp.increases C))))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= A (tptp.sum B C))) (not (tptp.constant A)) (tptp.constant C) (tptp.increases B) (tptp.decreases B))))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= A (tptp.sum B C))) (not (tptp.constant A)) (tptp.constant B) (tptp.decreases C) (tptp.increases C))))) (let ((_let_26 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= A (tptp.sum B C))) (not (tptp.constant A)) (tptp.constant B) (tptp.decreases C) (tptp.decreases B))))) (let ((_let_27 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= A (tptp.sum B C))) (not (tptp.constant A)) (tptp.constant B) (tptp.increases B) (tptp.increases C))))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= A (tptp.sum B C))) (not (tptp.constant A)) (tptp.constant B) (tptp.increases B) (tptp.decreases B))))) (let ((_let_29 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (tptp.subpopulation tptp.efficient_producers A B))))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (tptp.subpopulation tptp.first_movers A B))))) (let ((_let_31 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.subpopulation B A C)) (not (= B tptp.first_movers)) (= (tptp.number_of_organizations A C) (tptp.sum (tptp.cardinality_at_time tptp.first_movers C) (tptp.cardinality_at_time tptp.efficient_producers C))))))) (let ((_let_32 (tptp.cardinality_at_time tptp.first_movers tptp.sk2))) (let ((_let_33 (tptp.decreases _let_32))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.greater _let_32 tptp.zero))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.subpopulation tptp.first_movers tptp.sk1 tptp.sk2))) (let ((_let_38 (not _let_37))) (let ((_let_39 (tptp.in_environment tptp.sk1 tptp.sk2))) (let ((_let_40 (not _let_39))) (let ((_let_41 (not _let_14))) (let ((_let_42 (or _let_41 _let_40 _let_38 _let_36 _let_34 _let_2))) (let ((_let_43 (_let_18))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 ((not (= (tptp.subpopulation C A B) false))))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.sk1 tptp.sk2 tptp.first_movers QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43)) _let_44 :args (_let_42 false _let_18)))) (let ((_let_47 (tptp.increases _let_32))) (let ((_let_48 (tptp.constant _let_32))) (let ((_let_49 (tptp.cardinality_at_time tptp.efficient_producers tptp.sk2))) (let ((_let_50 (tptp.sum _let_32 _let_49))) (let ((_let_51 (tptp.constant _let_50))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_48 _let_47 _let_33))) (let ((_let_54 (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.constant (tptp.sum B C))) (tptp.constant B) (tptp.increases B) (tptp.decreases B))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (not _let_47))) (let ((_let_57 (or _let_41 _let_40 _let_38 _let_36 _let_56 _let_7))) (let ((_let_58 (_let_19))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 ((not (= (tptp.subpopulation C A B) false))))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.sk1 tptp.sk2 tptp.first_movers QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_58)) _let_59 :args (_let_57 false _let_19)))) (let ((_let_62 (not _let_13))) (let ((_let_63 (or _let_41 _let_62 _let_39))) (let ((_let_64 (_let_15))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (ASSUME :args (_let_13)))) (let ((_let_67 (ASSUME :args (_let_14)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_41 _let_62 _let_39 (not _let_63)))) _let_67 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.sk1 tptp.sk2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B) false))))) :args _let_64)) _let_65 :args (_let_63 false _let_15)) :args (_let_39 false _let_14 false _let_13 false _let_63)))) (let ((_let_69 (or _let_41 _let_62 _let_35))) (let ((_let_70 (_let_17))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_41 _let_62 _let_35 (not _let_69)))) _let_67 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.sk1 tptp.sk2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B) false))))) :args _let_70)) _let_71 :args (_let_69 false _let_17)) :args (_let_35 false _let_14 false _let_13 false _let_69)))) (let ((_let_73 (or _let_41 _let_40 _let_37))) (let ((_let_74 (_let_30))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_41 _let_37 _let_40 (not _let_73)))) _let_67 _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.sk1 tptp.sk2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment A B) false))))) :args _let_74)) _let_75 :args (_let_73 false _let_30)) :args (_let_37 false _let_14 false _let_39 false _let_73)))) (let ((_let_77 (tptp.decreases _let_49))) (let ((_let_78 (not _let_77))) (let ((_let_79 (tptp.greater _let_49 tptp.zero))) (let ((_let_80 (not _let_79))) (let ((_let_81 (tptp.subpopulation tptp.efficient_producers tptp.sk1 tptp.sk2))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_41 _let_40 _let_82 _let_80 _let_78 _let_6))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.sk1 tptp.sk2 tptp.efficient_producers QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_43)) _let_44 :args (_let_83 false _let_18)))) (let ((_let_85 (or _let_52 _let_48 _let_77 _let_33))) (let ((_let_86 (tptp.increases _let_49))) (let ((_let_87 (or _let_52 _let_48 _let_77 _let_86))) (let ((_let_88 (not _let_86))) (let ((_let_89 (or _let_41 _let_40 _let_82 _let_80 _let_88 _let_4))) (let ((_let_90 (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.constant (tptp.sum B C))) (tptp.constant B) (tptp.decreases C) (tptp.decreases B))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (= tptp.zero _let_1))) (let ((_let_93 (not _let_48))) (let ((_let_94 (or _let_41 _let_40 _let_38 _let_36 _let_93 _let_92))) (let ((_let_95 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.cardinality_at_time C B))) (or (not (tptp.environment A)) (not (tptp.in_environment A B)) (not (tptp.subpopulation C A B)) (not (tptp.greater _let_1 tptp.zero)) (not (tptp.constant _let_1)) (= tptp.zero (tptp.growth_rate C B))))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (_let_95))) (let ((_let_98 ((not (= (tptp.subpopulation C A B) false))))) (let ((_let_99 (= tptp.zero _let_3))) (let ((_let_100 (tptp.constant _let_49))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_41 _let_40 _let_82 _let_80 _let_101 _let_99))) (let ((_let_103 (or _let_52 _let_100 _let_77 _let_33))) (let ((_let_104 (or _let_52 _let_100 _let_77 _let_86))) (let ((_let_105 (or _let_52 _let_100 _let_47 _let_33))) (let ((_let_106 (or _let_52 _let_100 _let_47 _let_86))) (let ((_let_107 (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.constant (tptp.sum B C))) (tptp.constant C) (tptp.increases B) (tptp.decreases B))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (= _let_11 _let_50))) (let ((_let_110 (or _let_41 _let_38 _let_109))) (let ((_let_111 (forall ((A $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.subpopulation tptp.first_movers A C)) (= (tptp.number_of_organizations A C) (tptp.sum (tptp.cardinality_at_time tptp.first_movers C) (tptp.cardinality_at_time tptp.efficient_producers C))))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (ASSUME :args (_let_12)))) (let ((_let_114 (and _let_12 _let_109))) (let ((_let_115 (_let_12 _let_109))) (let ((_let_116 (ASSUME :args (_let_109)))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_114)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_113 _let_116) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_116) :args (APPLY_UF tptp.constant)) (TRUE_INTRO _let_113))) :args _let_115)) :args _let_115)) :args (true _let_114)) _let_113 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_41 _let_109 _let_38 (not _let_110)))) _let_67 _let_76 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.sk1 tptp.sk2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.number_of_organizations A C)))) :args (_let_111))) _let_112 :args (_let_110 false _let_111)) :args (_let_109 false _let_14 false _let_37 false _let_110)) :args (_let_51 false _let_12 false _let_109)))) (let ((_let_118 (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.constant (tptp.sum B C))) (tptp.constant C) (tptp.increases B) (tptp.increases C))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_2 _let_41 _let_38 _let_36 _let_40 _let_34 (not _let_42)))))) (let ((_let_121 (or _let_41 _let_62 _let_79))) (let ((_let_122 (_let_16))) (let ((_let_123 (ASSUME :args _let_122))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_41 _let_62 _let_79 (not _let_121)))) _let_67 _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (tptp.sk1 tptp.sk2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers A B) false))))) :args _let_122)) _let_123 :args (_let_121 false _let_16)) :args (_let_79 false _let_14 false _let_13 false _let_121)))) (let ((_let_125 (or _let_41 _let_40 _let_81))) (let ((_let_126 (_let_29))) (let ((_let_127 (ASSUME :args _let_126))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_41 _let_81 _let_40 (not _let_125)))) _let_67 _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (tptp.sk1 tptp.sk2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment A B) false))))) :args _let_126)) _let_127 :args (_let_125 false _let_29)) :args (_let_81 false _let_14 false _let_39 false _let_125)))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.sk1 tptp.sk2 tptp.efficient_producers QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_60)) :args _let_58)) _let_59 :args (_let_89 false _let_19)))) (let ((_let_130 (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_4 _let_41 _let_82 _let_80 _let_40 _let_88 (not _let_89)))))) (let ((_let_131 (ASSUME :args (_let_5)))) (let ((_let_132 (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_7 _let_41 _let_38 _let_36 _let_40 _let_56 (not _let_57)))))) (let ((_let_133 (ASSUME :args (_let_9)))) (let ((_let_134 (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_6 _let_41 _let_82 _let_80 _let_40 _let_78 (not _let_83)))))) (let ((_let_135 (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.constant (tptp.sum B C))) (tptp.constant C) (tptp.decreases C) (tptp.decreases B))))) (let ((_let_136 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.constant (tptp.sum B C))) (tptp.constant C) (tptp.decreases C) (tptp.increases C))))) (let ((_let_138 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_139 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_92 _let_41 _let_38 _let_36 _let_40 _let_93 (not _let_94)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_99 _let_41 _let_82 _let_80 _let_40 _let_101 (not _let_102)))) _let_67 _let_128 _let_124 _let_68 (MACRO_RESOLUTION_TRUST _let_131 _let_130 _let_129 _let_128 _let_68 _let_124 _let_67 _let_120 _let_46 _let_76 _let_68 _let_72 _let_67 (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_52 _let_86 _let_77 _let_100 (not _let_104)))) _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_32 _let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sum B C)))) :args (_let_137))) _let_138 :args (_let_104 false _let_137)) (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_52 _let_33 _let_77 _let_100 (not _let_103)))) _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (_let_32 _let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sum B C)))) :args (_let_135))) _let_136 :args (_let_103 false _let_135)) _let_134 _let_84 _let_128 _let_68 _let_124 _let_67 _let_133 _let_132 _let_61 _let_76 _let_68 _let_72 _let_67 (MACRO_RESOLUTION_TRUST _let_131 _let_130 _let_129 _let_128 _let_68 _let_124 _let_67 _let_120 _let_46 _let_76 _let_68 _let_72 _let_67 (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_52 _let_47 _let_86 _let_100 (not _let_106)))) _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_32 _let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sum B C)))) :args (_let_118))) _let_119 :args (_let_106 false _let_118)) (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_52 _let_47 _let_33 _let_100 (not _let_105)))) _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_32 _let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sum B C)))) :args (_let_107))) _let_108 :args (_let_105 false _let_107)) :args ((or _let_47 _let_100) false _let_4 false _let_89 false _let_81 false _let_39 false _let_79 false _let_14 false _let_2 false _let_42 false _let_37 false _let_39 false _let_35 false _let_14 false _let_86 false _let_51 false _let_106 false _let_33 false _let_51 false _let_105)) :args (_let_100 false _let_4 false _let_89 false _let_81 false _let_39 false _let_79 false _let_14 false _let_2 false _let_42 false _let_37 false _let_39 false _let_35 false _let_14 false _let_86 false _let_51 false _let_104 false _let_33 false _let_51 false _let_103 true _let_77 false _let_83 false _let_81 false _let_39 false _let_79 false _let_14 true _let_6 false _let_7 false _let_57 false _let_37 false _let_39 false _let_35 false _let_14 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk1 tptp.sk2 tptp.efficient_producers QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_97)) _let_96 :args (_let_102 false _let_95)) :args (_let_99 false _let_14 false _let_81 false _let_79 false _let_39 false _let_100 false _let_102)) :args ((not _let_92) false _let_99)) _let_67 _let_76 _let_72 _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk1 tptp.sk2 tptp.first_movers QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_98)) :args _let_97)) _let_96 :args (_let_94 false _let_95)) :args (_let_93 true _let_92 false _let_14 false _let_37 false _let_35 false _let_39 false _let_94)))) (let ((_let_140 (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.constant (tptp.sum B C))) (tptp.constant B) (tptp.decreases C) (tptp.increases C))))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (MACRO_RESOLUTION_TRUST _let_132 (MACRO_RESOLUTION_TRUST _let_133 (MACRO_RESOLUTION_TRUST _let_134 _let_67 _let_128 _let_124 _let_68 (MACRO_RESOLUTION_TRUST _let_131 _let_130 _let_129 _let_128 _let_68 _let_124 _let_67 _let_120 _let_46 _let_76 _let_68 _let_72 _let_67 (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_52 _let_48 _let_86 _let_77 (not _let_87)))) _let_117 _let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_32 _let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sum B C)))) :args (_let_140))) _let_141 :args (_let_87 false _let_140)) (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_52 _let_48 _let_33 _let_77 (not _let_85)))) _let_117 _let_139 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_32 _let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sum B C)))) :args (_let_90))) _let_91 :args (_let_85 false _let_90)) :args (_let_77 false _let_4 false _let_89 false _let_81 false _let_39 false _let_79 false _let_14 false _let_2 false _let_42 false _let_37 false _let_39 false _let_35 false _let_14 false _let_86 false _let_51 true _let_48 false _let_87 false _let_33 false _let_51 true _let_48 false _let_85)) _let_84 :args (_let_6 false _let_14 false _let_81 false _let_79 false _let_39 false _let_77 false _let_83)) :args (_let_8 false _let_6)) _let_67 _let_76 _let_72 _let_68 _let_61 :args (_let_56 true _let_7 false _let_14 false _let_37 false _let_35 false _let_39 false _let_57)))) (let ((_let_143 (or _let_52 _let_48 _let_47 _let_86))) (let ((_let_144 (forall ((B $$unsorted) (C $$unsorted)) (or (not (tptp.constant (tptp.sum B C))) (tptp.constant B) (tptp.increases B) (tptp.increases C))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_131 (MACRO_RESOLUTION_TRUST _let_130 _let_67 _let_128 _let_124 _let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_143)) :args ((or _let_52 _let_48 _let_47 _let_86 (not _let_143)))) _let_117 _let_139 _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_145 :args (_let_32 _let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sum B C)))) :args (_let_144))) _let_145 :args (_let_143 false _let_144)) :args (_let_86 false _let_51 true _let_48 true _let_47 false _let_143)) _let_129 :args (_let_4 false _let_14 false _let_81 false _let_79 false _let_39 false _let_86 false _let_89)) (MACRO_RESOLUTION_TRUST _let_120 _let_67 _let_76 _let_72 _let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_48 _let_47 _let_33 (not _let_53)))) _let_117 _let_139 _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_32 _let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sum B C)))) :args (_let_54))) _let_55 :args (_let_53 false _let_54)) :args (_let_33 false _let_51 true _let_48 true _let_47 false _let_53)) _let_46 :args (_let_2 false _let_14 false _let_37 false _let_35 false _let_39 false _let_33 false _let_42)) :args (false false _let_4 false _let_2)) :args ((forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.subpopulation B A C)) (tptp.greater (tptp.cardinality_at_time B C) tptp.zero) (= (tptp.number_of_organizations A C) (tptp.sum (tptp.cardinality_at_time tptp.first_movers C) (tptp.cardinality_at_time tptp.efficient_producers C))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.environment A)) (not (tptp.subpopulation B A C)) (not (= B tptp.efficient_producers)) (= (tptp.number_of_organizations A C) (tptp.sum (tptp.cardinality_at_time tptp.first_movers C) (tptp.cardinality_at_time tptp.efficient_producers C))))) _let_31 _let_30 _let_29 _let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 (forall ((A $$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_14 _let_13 _let_12 _let_10 _let_9 _let_5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.53 )
% 0.22/0.54 % SZS output end Proof for MGT025-1
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------