TSTP Solution File: MGT035+2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : MGT035+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:09:06 EDT 2023
% Result : Theorem 0.59s 0.77s
% Output : Proof 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT035+2 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 06:27:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.59/0.77 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.bx0ZjEkfbY/cvc5---1.0.5_2460.p...
% 0.59/0.77 ------- get file name : TPTP file name is MGT035+2
% 0.59/0.77 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_2460.smt2...
% 0.59/0.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.59/0.77 % SZS status Theorem for MGT035+2
% 0.59/0.77 % SZS output start Proof for MGT035+2
% 0.59/0.77 (
% 0.59/0.77 (let ((_let_1 (not (forall ((E $$unsorted)) (=> (and (tptp.environment E) (tptp.stable E)) (exists ((To $$unsorted)) (and (tptp.in_environment E To) (forall ((T $$unsorted)) (=> (and (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) (tptp.greater_or_equal T To)) (tptp.outcompetes tptp.efficient_producers tptp.first_movers T)))))))))) (let ((_let_2 (forall ((E $$unsorted)) (=> (and (tptp.environment E) (tptp.stable E)) (exists ((To $$unsorted)) (and (tptp.in_environment E To) (forall ((T $$unsorted)) (=> (and (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) (tptp.greater_or_equal T To)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T)))))))))) (let ((_let_3 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.number_of_organizations E T))) (let ((_let_2 (tptp.resources E T))) (=> (and (tptp.environment E) (tptp.in_environment E T)) (and (=> (tptp.decreases _let_2) (not (tptp.decreases _let_1))) (=> (tptp.constant _let_2) (tptp.constant _let_1))))))))) (let ((_let_4 (forall ((E $$unsorted)) (=> (and (tptp.environment E) (tptp.stable E)) (exists ((T $$unsorted)) (and (tptp.in_environment E T) (tptp.greater_or_equal T (tptp.equilibrium E)))))))) (let ((_let_5 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.resources E T))) (let ((_let_2 (tptp.greater (tptp.equilibrium E) T))) (=> (and (tptp.environment E) (tptp.in_environment E T) (tptp.greater (tptp.number_of_organizations E T) tptp.zero)) (and (=> _let_2 (tptp.decreases _let_1)) (=> (not _let_2) (tptp.constant _let_1))))))))) (let ((_let_6 (forall ((E $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations S1 S2 E T)) (= (and (tptp.greater_or_equal (tptp.growth_rate S2 T) tptp.zero) (tptp.greater tptp.zero (tptp.growth_rate S1 T))) (tptp.outcompetes S2 S1 T)))))) (let ((_let_7 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.equilibrium E))) (=> (and (tptp.environment E) (tptp.greater_or_equal T _let_1)) (not (tptp.greater _let_1 T))))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greater_or_equal X Y) (or (tptp.greater X Y) (= X Y)))))) (let ((_let_9 (forall ((E $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (=> (and (tptp.in_environment E T1) (tptp.in_environment E T2)) (or (tptp.greater T2 T1) (= T2 T1) (tptp.greater T1 T2)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.greater X Y) (tptp.greater Y Z)) (tptp.greater X Z))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.greater X Y) (tptp.greater Y X)))))) (let ((_let_12 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (and (tptp.greater (tptp.cardinality_at_time tptp.first_movers T) tptp.zero) (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers T) tptp.zero)))))) (let ((_let_13 (forall ((X $$unsorted) (E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.growth_rate X T))) (let ((_let_2 (tptp.cardinality_at_time X T))) (=> (and (tptp.environment E) (tptp.in_environment E T) (tptp.subpopulation X E T) (tptp.greater _let_2 tptp.zero)) (and (=> (tptp.constant _let_2) (= _let_1 tptp.zero)) (=> (tptp.increases _let_2) (tptp.greater _let_1 tptp.zero)) (=> (tptp.decreases _let_2) (tptp.greater tptp.zero _let_1))))))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (= A (tptp.sum B C)) (tptp.constant A)) (or (and (tptp.constant B) (tptp.constant C)) (and (tptp.increases B) (tptp.decreases C)) (and (tptp.decreases B) (tptp.increases C))))))) (let ((_let_15 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.in_environment E T)) (and (tptp.subpopulation tptp.first_movers E T) (tptp.subpopulation tptp.efficient_producers E T)))))) (let ((_let_16 (forall ((E $$unsorted) (X $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulation X E T) (=> (tptp.greater (tptp.cardinality_at_time X T) tptp.zero) (or (= X tptp.efficient_producers) (= X tptp.first_movers)))) (= (tptp.number_of_organizations E T) (tptp.sum (tptp.cardinality_at_time tptp.first_movers T) (tptp.cardinality_at_time tptp.efficient_producers T))))))) (let ((_let_17 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (tptp.greater (tptp.number_of_organizations E T) tptp.zero))))) (let ((_let_18 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (tptp.in_environment E T))))) (let ((_let_19 (tptp.growth_rate tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_20 (tptp.growth_rate tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_21 (tptp.greater _let_20 _let_19))) (let ((_let_22 (tptp.greater _let_19 _let_20))) (let ((_let_23 (= tptp.zero _let_19))) (let ((_let_24 (= tptp.zero _let_20))) (let ((_let_25 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26 _let_21))) (let ((_let_30 (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not (tptp.greater_or_equal T SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T)))))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31))) (let ((_let_35 (forall ((To $$unsorted)) (or (not (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 To)) (not (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not (tptp.greater_or_equal T To)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T))))))))) (let ((_let_36 (not _let_34))) (let ((_let_37 (not _let_35))) (let ((_let_38 (tptp.stable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39 _let_37))) (let ((_let_43 (forall ((E $$unsorted)) (or (not (tptp.environment E)) (not (tptp.stable E)) (not (forall ((To $$unsorted)) (or (not (tptp.in_environment E To)) (not (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (not (tptp.greater_or_equal T To)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T)))))))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (forall ((To $$unsorted)) (or (not (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 To)) (not (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not (tptp.greater_or_equal T To)) (tptp.outcompetes tptp.efficient_producers tptp.first_movers T)))))))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_41 _let_39 _let_46))) (let ((_let_48 (forall ((E $$unsorted)) (or (not (tptp.environment E)) (not (tptp.stable E)) (not (forall ((To $$unsorted)) (or (not (tptp.in_environment E To)) (not (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (not (tptp.greater_or_equal T To)) (tptp.outcompetes tptp.efficient_producers tptp.first_movers T))))))))))) (let ((_let_49 (not _let_47))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (or))) (let ((_let_52 (not _let_48))) (let ((_let_53 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_50) :args (_let_52))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_48))) (REFL :args (_let_49)) :args _let_51)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST _let_53 _let_50 :args (_let_49 true _let_48)))) (let ((_let_55 (REFL :args (_let_47)))) (let ((_let_56 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 1)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_51)) :args ((or _let_38 _let_47))))) (let ((_let_57 (MACRO_RESOLUTION_TRUST _let_56 _let_54 :args (_let_38 true _let_47)))) (let ((_let_58 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 0)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_51)) :args ((or _let_40 _let_47))))) (let ((_let_59 (MACRO_RESOLUTION_TRUST _let_58 _let_54 :args (_let_40 true _let_47)))) (let ((_let_60 (_let_37))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_60)) :args _let_60)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_35))) (REFL :args (_let_36)) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_39 _let_37 (not _let_42)))) _let_59 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.environment E) false))))) :args (_let_43))) _let_44 :args (_let_42 false _let_43)) :args (_let_37 false _let_40 false _let_38 false _let_42)) :args (_let_36 true _let_35)))) (let ((_let_62 (REFL :args (_let_34)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 1)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_51)) :args ((or _let_30 _let_34))) _let_61 :args (_let_30 true _let_34)))) (let ((_let_64 (_let_30))) (let ((_let_65 ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T) false))))) (let ((_let_66 (ASSUME :args _let_64))) (let ((_let_67 (tptp.outcompetes tptp.efficient_producers tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_68 (or _let_28 _let_26 _let_67))) (let ((_let_69 (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not (tptp.greater_or_equal T SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (tptp.outcompetes tptp.efficient_producers tptp.first_movers T))))) (let ((_let_70 (not _let_68))) (let ((_let_71 (not _let_69))) (let ((_let_72 (or _let_33 _let_71))) (let ((_let_73 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 2)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_51)) :args ((or _let_45 _let_47))))) (let ((_let_74 (MACRO_RESOLUTION_TRUST _let_73 _let_54 :args (_let_45 true _let_47)))) (let ((_let_75 (_let_45))) (let ((_let_76 ((not (= (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 To) false))))) (let ((_let_77 (ASSUME :args _let_75))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 0)) (CONG _let_62 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_51)) :args ((or _let_32 _let_34))) _let_61 :args (_let_32 true _let_34)))) (let ((_let_79 (_let_71))) (let ((_let_80 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_79)) :args _let_79)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_69))) (REFL :args (_let_70)) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_33 _let_71 (not _let_72)))) _let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_76)) :args _let_75)) _let_74 :args (_let_72 false _let_45)) :args (_let_71 false _let_32 false _let_72)) :args (_let_70 true _let_69)))) (let ((_let_81 (REFL :args (_let_68)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 1)) (CONG _let_81 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_51)) :args ((or _let_25 _let_68))) _let_80 :args (_let_25 true _let_68)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_68 0)) (CONG _let_81 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_51)) :args ((or _let_27 _let_68))) _let_80 :args (_let_27 true _let_68)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_26 _let_21 (not _let_29)))) _let_83 _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_64)) _let_63 :args (_let_29 false _let_30)) :args (_let_21 false _let_27 false _let_25 false _let_29)))) (let ((_let_85 (not _let_22))) (let ((_let_86 (not _let_21))) (let ((_let_87 (or _let_86 _let_85))) (let ((_let_88 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.greater X Y)) (not (tptp.greater Y X)))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 ((not (= (tptp.greater X Y) false))))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_86 _let_85 (not _let_87)))) _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_20 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_87 false _let_88)) :args (_let_85 false _let_21 false _let_87)))) (let ((_let_93 (tptp.cardinality_at_time tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_94 (tptp.constant _let_93))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_23))) (let ((_let_97 (tptp.greater tptp.zero _let_19))) (let ((_let_98 (tptp.decreases _let_93))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_97))) (let ((_let_101 (tptp.greater _let_19 tptp.zero))) (let ((_let_102 (tptp.increases _let_93))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_101))) (let ((_let_105 (and _let_96 _let_104 _let_100))) (let ((_let_106 (tptp.greater _let_93 tptp.zero))) (let ((_let_107 (not _let_106))) (let ((_let_108 (tptp.subpopulation tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_109 (not _let_108))) (let ((_let_110 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_41 _let_111 _let_109 _let_107 _let_105))) (let ((_let_113 (forall ((X $$unsorted) (E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.growth_rate X T))) (let ((_let_2 (tptp.cardinality_at_time X T))) (or (not (tptp.environment E)) (not (tptp.in_environment E T)) (not (tptp.subpopulation X E T)) (not (tptp.greater _let_2 tptp.zero)) (and (or (not (tptp.constant _let_2)) (= tptp.zero _let_1)) (or (not (tptp.increases _let_2)) (tptp.greater _let_1 tptp.zero)) (or (not (tptp.decreases _let_2)) (tptp.greater tptp.zero _let_1))))))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (_let_113))) (let ((_let_116 ((not (= (tptp.in_environment E T) false)) (tptp.growth_rate X T)))) (let ((_let_117 (tptp.subpopulation tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_118 (and _let_108 _let_117))) (let ((_let_119 (or _let_41 _let_111 _let_118))) (let ((_let_120 (forall ((E $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.in_environment E T)) (and (tptp.subpopulation tptp.first_movers E T) (tptp.subpopulation tptp.efficient_producers E T)))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_120))) (let ((_let_123 ((not (= (tptp.in_environment E T) false))))) (let ((_let_124 (or _let_41 _let_28 _let_110))) (let ((_let_125 (forall ((E $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (tptp.in_environment E T))))) (let ((_let_126 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_127 (_let_125))) (let ((_let_128 ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) false))))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) 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(REORDERING (CNF_OR_POS :args (_let_256)) :args ((or _let_250 _let_255 _let_215 (not _let_256)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_212 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_276)) :args _let_195)) _let_194 :args (_let_256 false _let_193)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_538)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_539 _let_532) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) _let_533 :args _let_497) (FALSE_INTRO _let_539))) :args (_let_233 _let_246))) :args (_let_246 _let_233))) :args (true _let_538)) (CONG _let_529 (MACRO_SR_PRED_INTRO :args ((= (not _let_233) _let_232))) (REFL :args ((not _let_253))) :args _let_51)) (REORDERING (CNF_OR_POS :args (_let_252)) :args ((or _let_248 _let_251 _let_249 (not _let_252)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_212 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_197)) :args _let_195)) _let_194 :args (_let_252 false _let_193)) _let_375 _let_527 _let_526 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_536)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_537 _let_380) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) _let_381 :args _let_272) (TRUE_INTRO _let_537))) :args (_let_236 _let_242))) :args (_let_242 _let_236))) :args (true _let_536)) :args ((or _let_245 _let_351 _let_239))) _let_522 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_535)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_530 _let_380) (SCOPE (FALSE_ELIM (TRANS (CONG _let_381 _let_273 :args _let_272) _let_531)) :args (_let_238 _let_242))) :args (_let_242 _let_238))) :args (true _let_535)) (CONG _let_376 _let_528 (REFL :args (_let_523)) :args _let_51)) :args ((or _let_523 _let_351 _let_237))) _let_520 _let_519 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(MACRO_SR_PRED_INTRO :args ((= (not _let_230) _let_229))) (REFL :args (_let_266)) :args _let_51)) :args ((or _let_268 _let_266 _let_229))) :args ((or _let_266 _let_229) false _let_261 true _let_254 false _let_267 true _let_260)) (REORDERING (CNF_OR_POS :args (_let_234)) :args ((or _let_41 _let_215 _let_233 (not _let_234)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_263 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.greater _let_265 T) false))))) :args _let_264)) _let_263 :args (_let_234 false _let_262)) _let_59 (REORDERING (CNF_OR_POS :args (_let_231)) :args ((or _let_215 _let_230 (not _let_231)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_212 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_90)) _let_89 :args (_let_231 false _let_88)) :args (_let_215 true _let_257 false _let_260 false _let_261 true _let_258 false _let_259 true _let_254 false _let_256 true _let_253 true _let_250 false _let_252 true _let_248 false _let_246 false _let_247 false _let_245 false _let_236 true _let_244 false _let_242 false _let_243 true _let_241 true _let_237 false _let_240 false _let_236 true _let_235 true _let_232 false _let_234 false _let_40 true _let_229 false _let_231)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_216 1)) :args ((or _let_214 (not _let_216)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_219)) :args ((or _let_41 _let_111 _let_218 _let_216 (not _let_219)))) _let_59 _let_129 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_224)) :args ((or _let_41 _let_28 _let_217 (not _let_224)))) _let_59 _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_226 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_228)) :args _let_227)) _let_226 :args (_let_224 false _let_225)) :args (_let_217 false _let_40 false _let_27 false _let_224)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_223)) :args _let_222)) _let_221 :args (_let_219 false _let_220)) :args (_let_216 false _let_40 false _let_110 false _let_217 false _let_219)) :args (_let_214 false _let_216)) :args (_let_202 true _let_213 false _let_214)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_206 1)) :args ((or _let_204 (not _let_206)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_207)) :args ((or _let_41 _let_111 _let_206 (not _let_207)))) _let_59 _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_209 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_211)) :args _let_210)) _let_209 :args (_let_207 false _let_208)) :args (_let_206 false _let_40 false _let_110 false _let_207)) :args (_let_204 false _let_206)) :args (_let_199 false _let_202 false _let_204)) :args (_let_151 false _let_200 false _let_199)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_191)) :args ((or _let_22 _let_190 _let_189 (not _let_191)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_194 :args (_let_19 tptp.zero _let_20 QUANTIFIERS_INST_E_MATCHING _let_197)) :args _let_195)) _let_194 :args (_let_191 false _let_193)) _let_92 (REORDERING (CNF_OR_POS :args (_let_168)) :args ((or _let_167 _let_166 (not _let_168)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_171 2)) :args ((or _let_168 _let_178))) _let_177 :args (_let_168 false _let_171)) (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_103 _let_101 (not _let_104)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_105 1)) :args ((or _let_104 _let_143))) _let_142 :args (_let_104 false _let_105)) (REORDERING (CNF_AND_POS :args (_let_149 1)) :args ((or _let_148 _let_192))) (REORDERING (CNF_AND_POS :args (_let_149 0)) :args ((or _let_102 _let_192))) :args (_let_192 false _let_191 true _let_22 false _let_166 false _let_168 false _let_101 false _let_104 false _let_148 false _let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_164)) :args ((or _let_161 (not _let_163) (not _let_164)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_187 :args (_let_20 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_188)) :args _let_186))) _let_187 :args (_let_164 false _let_8)) (CNF_OR_NEG :args (_let_163 0)) (CNF_AND_NEG :args (_let_162)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_179)) :args ((or _let_67 _let_180 (not _let_179)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_68 2)) _let_80 :args ((not _let_67) true _let_68)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_181)) :args ((or _let_41 _let_28 _let_179 (not _let_181)))) _let_59 _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_183 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_185)) :args _let_184))) _let_183 :args (_let_181 false _let_182)) :args (_let_179 false _let_40 false _let_27 false _let_181)) :args (_let_180 true _let_67 false _let_179)) (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_158 _let_159 (not _let_160)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_171 1)) :args ((or _let_160 _let_178))) _let_177 :args (_let_160 false _let_171)) (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_97 _let_99 (not _let_100)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_105 2)) :args ((or _let_100 _let_143))) _let_142 :args (_let_100 false _let_105)) (REORDERING (CNF_AND_POS :args (_let_147 1)) :args ((or _let_146 _let_165))) (REORDERING (CNF_AND_POS :args (_let_147 0)) :args ((or _let_98 _let_165))) :args (_let_165 false _let_164 false _let_163 true _let_161 true _let_162 false _let_158 false _let_160 false _let_97 false _let_100 false _let_146 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_155 :args (_let_93 _let_132 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_157)) :args _let_156)) _let_155 :args (_let_153 false _let_154)) :args (_let_145 false _let_151 true _let_149 true _let_147 false _let_153)))) (let ((_let_548 (not _let_145))) (let ((_let_549 (not _let_24))) (let ((_let_550 (not _let_23))) (let ((_let_551 (ASSUME :args (_let_85)))) (let ((_let_552 (REFL :args (_let_20)))) (let ((_let_553 (ASSUME :args (_let_23)))) (let ((_let_554 (SYMM _let_553))) (let ((_let_555 (SYMM _let_554))) (let ((_let_556 (ASSUME :args (_let_24)))) (let ((_let_557 (SYMM _let_556))) (let ((_let_558 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_551 _let_553 _let_556 _let_558) :args (_let_21 _let_23 _let_85 _let_24)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_558)) (CONG _let_552 _let_554 :args _let_272) (CONG _let_557 _let_555 :args _let_272) (CONG _let_501 (TRANS _let_554 (SYMM _let_557)) :args _let_272) (CONG _let_555 _let_552 :args _let_272) (FALSE_INTRO _let_551))) :args (_let_85 _let_23 _let_24 _let_21)) :args ((not (and _let_21 _let_23 _let_85 _let_24)) SB_LITERAL))) (CONG (REFL :args (_let_86)) (REFL :args (_let_550)) (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_22))) (REFL :args (_let_549)) :args _let_51)) :args ((or _let_86 _let_22 _let_550 _let_549))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_170)) :args ((or _let_24 _let_169 (not _let_170)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_145 1)) :args ((or _let_144 _let_548))) _let_547 :args (_let_144 false _let_145)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_171 0)) :args ((or _let_170 _let_178))) _let_177 :args (_let_170 false _let_171)) :args (_let_24 false _let_144 false _let_170)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_95 _let_23 (not _let_96)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_145 0)) :args ((or _let_94 _let_548))) _let_547 :args (_let_94 false _let_145)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_105 0)) :args ((or _let_96 _let_143))) _let_142 :args (_let_96 false _let_105)) :args (_let_23 false _let_94 false _let_96)) _let_92 _let_84 :args (false false _let_24 false _let_23 true _let_22 false _let_21)) :args (_let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.greater X Y) (= X Y)))) _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 (forall ((E $$unsorted) (X $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulation X E T) (tptp.greater (tptp.cardinality_at_time X T) tptp.zero)) (or (= X tptp.efficient_producers) (= X tptp.first_movers)))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.59/0.78 )
% 0.59/0.78 % SZS output end Proof for MGT035+2
% 0.59/0.78 % cvc5---1.0.5 exiting
% 0.59/0.78 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------