TSTP Solution File: MGT034+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : MGT034+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:09:05 EDT 2023
% Result : Theorem 0.20s 0.60s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT034+2 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.17/0.35 % Computer : n021.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Mon Aug 28 06:26:13 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.60 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.xQPKWxYCxo/cvc5---1.0.5_29031.p...
% 0.20/0.60 ------- get file name : TPTP file name is MGT034+2
% 0.20/0.60 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29031.smt2...
% 0.20/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.60 % SZS status Theorem for MGT034+2
% 0.20/0.60 % SZS output start Proof for MGT034+2
% 0.20/0.60 (
% 0.20/0.60 (let ((_let_1 (not (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.critical_point E))) (=> (and (tptp.environment E) (tptp.in_environment E _let_1) (tptp.greater_or_equal T (tptp.appear tptp.efficient_producers E)) (tptp.greater _let_1 T)) (tptp.selection_favors tptp.first_movers tptp.efficient_producers T))))))) (let ((_let_2 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (tptp.decreases (tptp.difference (tptp.founding_rate tptp.first_movers T) (tptp.founding_rate tptp.efficient_producers T))))))) (let ((_let_3 (forall ((E $$unsorted) (T1 $$unsorted) (T2 $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T1) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T2) (tptp.greater_or_equal T T1) (tptp.greater_or_equal T2 T)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T))))) (let ((_let_4 (forall ((E $$unsorted) (Tc $$unsorted)) (=> (and (tptp.environment E) (= Tc (tptp.critical_point E))) (and (not (tptp.greater (tptp.growth_rate tptp.efficient_producers Tc) (tptp.growth_rate tptp.first_movers Tc))) (forall ((T $$unsorted)) (=> (and (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) (tptp.greater T Tc)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T))))))))) (let ((_let_5 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.difference (tptp.growth_rate tptp.first_movers T) (tptp.growth_rate tptp.efficient_producers T)))) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) (not (tptp.greater tptp.zero _let_1))) (tptp.greater_or_equal _let_1 tptp.zero)))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greater_or_equal X Y) (or (tptp.greater X Y) (= X Y)))))) (let ((_let_7 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (tptp.greater_or_equal T (tptp.appear tptp.efficient_producers E)))))) (let ((_let_8 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (tptp.subpopulations tptp.efficient_producers tptp.first_movers E T))))) (let ((_let_9 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.critical_point E))) (=> (and (tptp.environment E) (tptp.in_environment E _let_1) (tptp.greater_or_equal T (tptp.appear tptp.efficient_producers E)) (tptp.greater _let_1 T)) (tptp.in_environment E T)))))) (let ((_let_10 (forall ((E $$unsorted) (T1 $$unsorted) (T2 $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.in_environment E T1) (tptp.in_environment E T2) (tptp.greater_or_equal T2 T) (tptp.greater_or_equal T T1)) (tptp.in_environment E T))))) (let ((_let_11 (forall ((T $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.efficient_producers T))) (let ((_let_2 (tptp.growth_rate tptp.first_movers T))) (= (tptp.greater (tptp.difference _let_2 _let_1) tptp.zero) (tptp.greater _let_2 _let_1))))))) (let ((_let_12 (forall ((T $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.first_movers T))) (let ((_let_2 (tptp.growth_rate tptp.efficient_producers T))) (= (tptp.greater tptp.zero (tptp.difference _let_1 _let_2)) (tptp.greater _let_2 _let_1))))))) (let ((_let_13 (forall ((E $$unsorted) (T $$unsorted) (To $$unsorted)) (let ((_let_1 (tptp.difference (tptp.growth_rate tptp.first_movers T) (tptp.growth_rate tptp.efficient_producers T)))) (=> (and (tptp.environment E) (tptp.in_environment E To) (tptp.greater_or_equal (tptp.difference (tptp.growth_rate tptp.first_movers To) (tptp.growth_rate tptp.efficient_producers To)) tptp.zero) (tptp.greater_or_equal T (tptp.appear tptp.efficient_producers E)) (tptp.greater To T)) (=> (tptp.decreases _let_1) (tptp.greater _let_1 tptp.zero))))))) (let ((_let_14 (forall ((T $$unsorted)) (=> (and (tptp.decreases (tptp.difference (tptp.founding_rate tptp.first_movers T) (tptp.founding_rate tptp.efficient_producers T))) (not (tptp.decreases (tptp.difference (tptp.disbanding_rate tptp.first_movers T) (tptp.disbanding_rate tptp.efficient_producers T))))) (tptp.decreases (tptp.difference (tptp.growth_rate tptp.first_movers T) (tptp.growth_rate tptp.efficient_producers T))))))) (let ((_let_15 (forall ((E $$unsorted)) (let ((_let_1 (tptp.appear tptp.efficient_producers E))) (=> (and (tptp.environment E) (tptp.in_environment E _let_1)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E _let_1)))))) (let ((_let_16 (forall ((E $$unsorted)) (let ((_let_1 (tptp.critical_point E))) (=> (and (tptp.environment E) (tptp.in_environment E _let_1)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E _let_1)))))) (let ((_let_17 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (not (tptp.decreases (tptp.difference (tptp.disbanding_rate tptp.first_movers T) (tptp.disbanding_rate tptp.efficient_producers T)))))))) (let ((_let_18 (forall ((E $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations S1 S2 E T) (tptp.greater (tptp.growth_rate S2 T) (tptp.growth_rate S1 T))) (tptp.selection_favors S2 S1 T))))) (let ((_let_19 (tptp.environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (tptp.critical_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20))) (let ((_let_22 (tptp.appear tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_22))) (let ((_let_24 (tptp.greater _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (tptp.growth_rate tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_26 (tptp.growth_rate tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (tptp.difference _let_26 _let_25))) (let ((_let_28 (tptp.greater _let_27 tptp.zero))) (let ((_let_29 (tptp.decreases _let_27))) (let ((_let_30 (not _let_29))) (let ((_let_31 (not _let_24))) (let ((_let_32 (not _let_23))) (let ((_let_33 (tptp.growth_rate tptp.efficient_producers _let_20))) (let ((_let_34 (tptp.growth_rate tptp.first_movers _let_20))) (let ((_let_35 (tptp.difference _let_34 _let_33))) (let ((_let_36 (tptp.greater_or_equal _let_35 tptp.zero))) (let ((_let_37 (not _let_36))) (let ((_let_38 (not _let_21))) (let ((_let_39 (not _let_19))) (let ((_let_40 (or _let_39 _let_38 _let_37 _let_32 _let_31 _let_30 _let_28))) (let ((_let_41 (tptp.selection_favors tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_42 (or _let_39 _let_38 _let_32 _let_31 _let_41))) (let ((_let_43 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.critical_point E))) (or (not (tptp.environment E)) (not (tptp.in_environment E _let_1)) (not (tptp.greater_or_equal T (tptp.appear tptp.efficient_producers E))) (not (tptp.greater _let_1 T)) (tptp.selection_favors tptp.first_movers tptp.efficient_producers T)))))) (let ((_let_44 (not _let_42))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (or))) (let ((_let_47 (not _let_43))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_45) :args (_let_47))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_43))) (REFL :args (_let_44)) :args _let_46)) _let_45 :args (_let_44 true _let_43)))) (let ((_let_49 (REFL :args (_let_42)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 0)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_19))) :args _let_46)) :args ((or _let_19 _let_42))) _let_48 :args (_let_19 true _let_42)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 1)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_21))) :args _let_46)) :args ((or _let_21 _let_42))) _let_48 :args (_let_21 true _let_42)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 2)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_23))) :args _let_46)) :args ((or _let_23 _let_42))) _let_48 :args (_let_23 true _let_42)))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 3)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_24))) :args _let_46)) :args ((or _let_24 _let_42))) _let_48 :args (_let_24 true _let_42)))) (let ((_let_54 (forall ((E $$unsorted) (T $$unsorted) (To $$unsorted)) (let ((_let_1 (tptp.difference (tptp.growth_rate tptp.first_movers T) (tptp.growth_rate tptp.efficient_producers T)))) (or (not (tptp.environment E)) (not (tptp.in_environment E To)) (not (tptp.greater_or_equal (tptp.difference (tptp.growth_rate tptp.first_movers To) (tptp.growth_rate tptp.efficient_producers To)) tptp.zero)) (not (tptp.greater_or_equal T (tptp.appear tptp.efficient_producers E))) (not (tptp.greater To T)) (not (tptp.decreases _let_1)) (tptp.greater _let_1 tptp.zero)))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (tptp.greater tptp.zero _let_35))) (let ((_let_57 (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_39 _let_58 _let_56 _let_36))) (let ((_let_60 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.difference (tptp.growth_rate tptp.first_movers T) (tptp.growth_rate tptp.efficient_producers T)))) (or (not (tptp.environment E)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (tptp.greater tptp.zero _let_1) (tptp.greater_or_equal _let_1 tptp.zero)))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (tptp.greater _let_33 _let_34))) (let ((_let_63 (= _let_62 _let_56))) (let ((_let_64 (not _let_56))) (let ((_let_65 (_let_12))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (not _let_62))) (let ((_let_68 (and _let_67 (or _let_58 (not (tptp.greater _let_20 _let_20)) _let_62)))) (let ((_let_69 (or _let_39 _let_68))) (let ((_let_70 (forall ((E $$unsorted) (BOUND_VARIABLE_980 $$unsorted)) (let ((_let_1 (tptp.critical_point E))) (or (not (tptp.environment E)) (and (not (tptp.greater (tptp.growth_rate tptp.efficient_producers _let_1) (tptp.growth_rate tptp.first_movers _let_1))) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E BOUND_VARIABLE_980)) (not (tptp.greater BOUND_VARIABLE_980 _let_1)) (tptp.greater (tptp.growth_rate tptp.efficient_producers BOUND_VARIABLE_980) (tptp.growth_rate tptp.first_movers BOUND_VARIABLE_980))))))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (or _let_39 _let_38 _let_57))) (let ((_let_73 (forall ((E $$unsorted)) (let ((_let_1 (tptp.critical_point E))) (or (not (tptp.environment E)) (not (tptp.in_environment E _let_1)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E _let_1)))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_39 _let_38 _let_57 (not _let_72)))) _let_50 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.environment E) false))))) :args (_let_73))) _let_74 :args (_let_72 false _let_73)) :args (_let_57 false _let_19 false _let_21 false _let_72)))) (let ((_let_76 (tptp.decreases (tptp.difference (tptp.disbanding_rate tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.disbanding_rate tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_77 (tptp.decreases (tptp.difference (tptp.founding_rate tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.founding_rate tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_76 _let_29))) (let ((_let_80 (forall ((T $$unsorted)) (or (not (tptp.decreases (tptp.difference (tptp.founding_rate tptp.first_movers T) (tptp.founding_rate tptp.efficient_producers T)))) (tptp.decreases (tptp.difference (tptp.disbanding_rate tptp.first_movers T) (tptp.disbanding_rate tptp.efficient_producers T))) (tptp.decreases (tptp.difference (tptp.growth_rate tptp.first_movers T) (tptp.growth_rate tptp.efficient_producers T))))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (not _let_76))) (let ((_let_83 (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_39 _let_84 _let_82))) (let ((_let_86 (forall ((E $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (not (tptp.decreases (tptp.difference (tptp.disbanding_rate tptp.first_movers T) (tptp.disbanding_rate tptp.efficient_producers T)))))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (tptp.greater_or_equal _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_89 (not _let_88))) (let ((_let_90 (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_39 _let_91 _let_58 _let_32 _let_89 _let_83))) (let ((_let_93 (forall ((E $$unsorted) (T1 $$unsorted) (T2 $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T1)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T2)) (not (tptp.greater_or_equal T T1)) (not (tptp.greater_or_equal T2 T)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (or _let_24 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20)))) (let ((_let_96 (= _let_88 _let_95))) (let ((_let_97 (_let_6))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_39 _let_100 _let_90))) (let ((_let_102 (forall ((E $$unsorted)) (let ((_let_1 (tptp.appear tptp.efficient_producers E))) (or (not (tptp.environment E)) (not (tptp.in_environment E _let_1)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E _let_1)))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (tptp.greater_or_equal _let_22 _let_20))) (let ((_let_105 (not _let_104))) (let ((_let_106 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_107 (not _let_106))) (let ((_let_108 (or _let_39 _let_38 _let_107 _let_32 _let_105 _let_99))) (let ((_let_109 (tptp.greater_or_equal _let_22 _let_22))) (let ((_let_110 (tptp.greater _let_20 _let_22))) (let ((_let_111 (not _let_110))) (let ((_let_112 (not _let_109))) (let ((_let_113 (or _let_39 _let_38 _let_112 _let_111 _let_99))) (let ((_let_114 (= _let_20 _let_22))) (let ((_let_115 (or (tptp.greater _let_22 _let_20) _let_114))) (let ((_let_116 (= _let_104 _let_115))) (let ((_let_117 (or _let_110 _let_114))) (let ((_let_118 (forall ((E $$unsorted) (T1 $$unsorted) (T2 $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.in_environment E T1)) (not (tptp.in_environment E T2)) (not (tptp.greater_or_equal T2 T)) (not (tptp.greater_or_equal T T1)) (tptp.in_environment E T))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (or _let_39 _let_38 _let_32 _let_31 _let_106))) (let ((_let_121 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.critical_point E))) (or (not (tptp.environment E)) (not (tptp.in_environment E _let_1)) (not (tptp.greater_or_equal T (tptp.appear tptp.efficient_producers E))) (not (tptp.greater _let_1 T)) (tptp.in_environment E T)))))) (let ((_let_122 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let 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_let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22 _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T2) false)) (not (= (tptp.greater_or_equal T T1) false))))) :args (_let_93))) _let_94 :args (_let_92 false _let_93)) :args (_let_83 false _let_19 false _let_23 false _let_57 false _let_90 false _let_88 false _let_92)))) (let ((_let_131 (or _let_39 _let_84 _let_77))) (let ((_let_132 (forall ((E $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (tptp.decreases (tptp.difference (tptp.founding_rate tptp.first_movers T) (tptp.founding_rate tptp.efficient_producers T))))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (tptp.greater _let_26 _let_25))) (let ((_let_135 (= _let_28 _let_134))) (let ((_let_136 (not _let_28))) (let ((_let_137 (_let_11))) (let ((_let_138 (ASSUME :args _let_137))) (let ((_let_139 (not _let_134))) (let ((_let_140 (tptp.subpopulations tptp.efficient_producers tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_141 (not _let_140))) (let ((_let_142 (or _let_39 _let_141 _let_139 _let_41))) (let ((_let_143 (forall ((E $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.subpopulations S1 S2 E T)) (not (tptp.greater (tptp.growth_rate S2 T) (tptp.growth_rate S1 T))) (tptp.selection_favors S2 S1 T))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (or _let_39 _let_84 _let_140))) (let ((_let_146 (forall ((E $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (tptp.subpopulations tptp.efficient_producers tptp.first_movers E T))))) (let ((_let_147 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_38 _let_32 _let_31 _let_37 _let_30 _let_28 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_135)) :args ((or _let_136 _let_134 (not _let_135)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_39 _let_41 _let_139 _let_141 (not _let_142)))) _let_50 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 4)) _let_48 :args ((not _let_41) true _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_39 _let_84 _let_140 (not _let_145)))) _let_50 _let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulations tptp.first_movers 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(MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_39 _let_77 _let_84 (not _let_131)))) _let_50 _let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) false))))) :args (_let_132))) _let_133 :args (_let_131 false _let_132)) :args (_let_77 false _let_19 false _let_83 false _let_131)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_39 _let_82 _let_84 (not _let_85)))) _let_50 _let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) false))))) :args (_let_86))) _let_87 :args (_let_85 false _let_86)) :args (_let_82 false _let_19 false _let_83 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.growth_rate tptp.first_movers T)))) :args (_let_80))) _let_81 :args (_let_79 false _let_80)) :args (_let_29 false _let_77 true _let_76 false _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_39 _let_36 _let_58 _let_56 (not _let_59)))) _let_50 _let_75 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_63)) :args ((or _let_62 _let_64 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_68 0)) :args ((or _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_39 _let_68 (not _let_69)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subpopulations tptp.first_movers tptp.efficient_producers E BOUND_VARIABLE_980)))) :args (_let_70))) _let_71 :args (_let_69 false _let_70)) :args (_let_68 false _let_19 false _let_69)) :args (_let_67 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.growth_rate tptp.first_movers T)))) :args _let_65))) _let_66 :args (_let_63 false _let_12)) :args (_let_64 true _let_62 false _let_63)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) false))))) :args (_let_60))) _let_61 :args (_let_59 false _let_60)) :args (_let_36 false _let_19 false _let_57 true _let_56 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.in_environment E To) false)) (not (= (tptp.greater_or_equal T (tptp.appear tptp.efficient_producers E)) false))))) :args (_let_54))) _let_55 :args (_let_40 false _let_54)) _let_53 _let_52 _let_51 _let_50 :args (false true _let_28 false _let_29 false _let_36 false _let_40 false _let_24 false _let_23 false _let_21 false _let_19)) :args (_let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 (forall ((E $$unsorted)) (=> (tptp.environment E) (tptp.in_environment E (tptp.start_time E)))) (forall ((E $$unsorted)) (=> (tptp.environment E) (tptp.greater_or_equal (tptp.appear tptp.first_movers E) (tptp.start_time E)))) _let_9 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.in_environment E T) (tptp.greater (tptp.cardinality_at_time tptp.first_movers T) tptp.zero) (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers T) tptp.zero)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T))) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.61 )
% 0.20/0.61 % SZS output end Proof for MGT034+2
% 0.20/0.61 % cvc5---1.0.5 exiting
% 0.20/0.61 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------