%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MGT039+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.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 09:09:10 EDT 2023

% Result   : Theorem 2.67s 2.95s
% Output   : Proof 2.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT039+2 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 28 06:31:40 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.18/0.47  %----Proving TF0_NAR, FOF, or CNF
% 2.67/2.95  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.08QHt8BpxD/cvc5---1.0.5_6116.p...
% 2.67/2.95  ------- get file name : TPTP file name is MGT039+2
% 2.67/2.95  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6116.smt2...
% 2.67/2.95  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.67/2.95  % SZS status Theorem for MGT039+2
% 2.67/2.95  % SZS output start Proof for MGT039+2
% 2.67/2.95  (
% 2.67/2.95  (let ((_let_1 (not (forall ((P $$unsorted)) (=> (and (tptp.observational_period P) (tptp.slow_change P)) (tptp.selection_favors tptp.efficient_producers tptp.first_movers P)))))) (let ((_let_2 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.in_environment E T) (tptp.greater_or_equal T (tptp.appear tptp.efficient_producers E))) (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers T) tptp.zero))))) (let ((_let_3 (forall ((E $$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_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greater_or_equal X Y) (or (tptp.greater X Y) (= X Y)))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.greater X Y) (tptp.greater Y Z)) (tptp.greater X Z))))) (let ((_let_6 (forall ((E $$unsorted)) (=> (tptp.environment E) (tptp.greater_or_equal (tptp.critical_point E) (tptp.start_time E)))))) (let ((_let_7 (forall ((E $$unsorted)) (=> (tptp.environment E) (tptp.greater_or_equal (tptp.critical_point E) (tptp.appear tptp.efficient_producers E)))))) (let ((_let_8 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.in_environment E T)) (and (tptp.subpopulation tptp.first_movers E T) (tptp.subpopulation tptp.efficient_producers E T)))))) (let ((_let_9 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.in_environment E T)) (tptp.greater_or_equal (tptp.cardinality_at_time tptp.first_movers T) tptp.zero))))) (let ((_let_10 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.in_environment E T) (tptp.greater (tptp.cardinality_at_time tptp.first_movers T) tptp.zero) (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers T) tptp.zero)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T))))) (let ((_let_11 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.in_environment E T)) (tptp.greater_or_equal (tptp.end_time E) T))))) (let ((_let_12 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.greater_or_equal T (tptp.start_time E)) (tptp.greater_or_equal (tptp.end_time E) T)) (tptp.in_environment E T))))) (let ((_let_13 (tptp.propagation_strategy tptp.efficient_producers))) (let ((_let_14 (tptp.propagation_strategy tptp.first_movers))) (let ((_let_15 (forall ((P $$unsorted)) (=> (and (tptp.observational_period P) (tptp.slow_change P)) (forall ((E $$unsorted)) (=> (and (tptp.environment E) (tptp.in_environment P E)) (exists ((T $$unsorted)) (and (tptp.in_environment E T) (tptp.greater T (tptp.critical_point E)))))))))) (let ((_let_16 (forall ((P $$unsorted)) (=> (and (tptp.observational_period P) (tptp.propagation_strategy tptp.first_movers) (tptp.propagation_strategy tptp.efficient_producers) (forall ((E $$unsorted)) (=> (and (tptp.environment E) (tptp.in_environment P E)) (tptp.selection_favors tptp.efficient_producers tptp.first_movers (tptp.end_time E))))) (tptp.selection_favors tptp.efficient_producers tptp.first_movers P))))) (let ((_let_17 (forall ((E $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.subpopulation S1 E T) (tptp.subpopulation S2 E T) (tptp.greater (tptp.cardinality_at_time S1 T) tptp.zero) (= (tptp.cardinality_at_time S2 T) tptp.zero)) (tptp.selection_favors S1 S2 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_5))) (let ((_let_20 (tptp.end_time SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_21 (tptp.selection_favors tptp.efficient_producers tptp.first_movers _let_20))) (let ((_let_22 (tptp.subpopulation tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_20))) (let ((_let_23 (tptp.subpopulation tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_20))) (let ((_let_24 (tptp.cardinality_at_time tptp.first_movers _let_20))) (let ((_let_25 (= tptp.zero _let_24))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers _let_20) tptp.zero))) (let ((_let_28 (not _let_27))) (let ((_let_29 (not _let_23))) (let ((_let_30 (not _let_22))) (let ((_let_31 (not _let_19))) (let ((_let_32 (or _let_31 _let_30 _let_29 _let_28 _let_26 _let_21))) (let ((_let_33 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_31 _let_34 _let_21))) (let ((_let_36 (forall ((E $$unsorted)) (or (not (tptp.environment E)) (not (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 E)) (tptp.selection_favors tptp.efficient_producers tptp.first_movers (tptp.end_time E)))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (tptp.selection_favors tptp.efficient_producers tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (not _let_36))) (let ((_let_40 (tptp.observational_period SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39 _let_38))) (let ((_let_43 (forall ((P $$unsorted)) (or (not (tptp.observational_period P)) (not (forall ((E $$unsorted)) (or (not (tptp.environment E)) (not (tptp.in_environment P E)) (tptp.selection_favors tptp.efficient_producers tptp.first_movers (tptp.end_time E))))) (tptp.selection_favors tptp.efficient_producers tptp.first_movers P))))) (let ((_let_44 (_let_43))) (let ((_let_45 (tptp.slow_change SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_41 _let_46 _let_38))) (let ((_let_48 (forall ((P $$unsorted)) (or (not (tptp.observational_period P)) (not (tptp.slow_change P)) (tptp.selection_favors tptp.efficient_producers tptp.first_movers P))))) (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 (MACRO_RESOLUTION_TRUST (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_50 :args (_let_49 true _let_48)))) (let ((_let_54 (REFL :args (_let_47)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 0)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_51)) :args ((or _let_40 _let_47))) _let_53 :args (_let_40 true _let_47)))) (let ((_let_56 (_let_39))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_56)) :args _let_56)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_36))) (REFL :args (_let_37)) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_38 _let_39 (not _let_42)))) _let_55 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_47 2)) _let_53 :args ((not _let_38) true _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_44) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.observational_period P) false))))) :args _let_44)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))) (ASSUME :args (_let_14)) (ASSUME :args (_let_13)) :args (_let_43 false _let_14 false _let_13)) :args (_let_42 false _let_43)) :args (_let_39 false _let_40 true _let_38 false _let_42)) :args (_let_37 true _let_36)))) (let ((_let_58 (REFL :args (_let_35)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_19))) :args _let_51)) :args ((or _let_19 _let_35))) _let_57 :args (_let_19 true _let_35)))) (let ((_let_60 (not _let_21))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_35 2)) _let_57 :args (_let_60 true _let_35)))) (let ((_let_62 (and _let_23 _let_22))) (let ((_let_63 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_20))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_31 _let_64 _let_62))) (let ((_let_66 (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_67 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (_let_66))) (let ((_let_69 ((not (= (tptp.in_environment E T) false))))) (let ((_let_70 (tptp.greater_or_equal _let_20 _let_20))) (let ((_let_71 (not _let_70))) (let ((_let_72 (tptp.start_time SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_73 (tptp.greater_or_equal _let_20 _let_72))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_31 _let_74 _let_71 _let_63))) (let ((_let_76 (forall ((E $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.greater_or_equal T (tptp.start_time E))) (not (tptp.greater_or_equal (tptp.end_time E) T)) (tptp.in_environment E T))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (_let_4))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 ((tptp.greater_or_equal X Y)))) (let ((_let_81 (tptp.critical_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_82 (tptp.greater_or_equal _let_20 _let_81))) (let ((_let_83 (= _let_81 _let_72))) (let ((_let_84 (tptp.greater _let_20 _let_72))) (let ((_let_85 (or _let_84 (= _let_20 _let_72)))) (let ((_let_86 (= _let_73 _let_85))) (let ((_let_87 (tptp.greater _let_81 _let_72))) (let ((_let_88 (or _let_87 _let_83))) (let ((_let_89 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_81))) (let ((_let_90 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_72))) (let ((_let_91 (not _let_87))) (let ((_let_92 (not _let_89))) (let ((_let_93 (or _let_92 _let_91 _let_90))) (let ((_let_94 (tptp.greater _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_95 (not _let_90))) (let ((_let_96 (not _let_94))) (let ((_let_97 (or _let_96 _let_95 _let_84))) (let ((_let_98 (tptp.greater _let_20 _let_81))) (let ((_let_99 (or _let_98 (= _let_20 _let_81)))) (let ((_let_100 (= _let_82 _let_99))) (let ((_let_101 (or _let_96 _let_92 _let_98))) (let ((_let_102 (= _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_103 (or _let_94 _let_102))) (let ((_let_104 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_81))) (let ((_let_105 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_106 _let_92))) (let ((_let_108 (forall ((T $$unsorted)) (or (not (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 T)) (not (tptp.greater T (tptp.critical_point SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))))) (let ((_let_109 (not _let_107))) (let ((_let_110 (not _let_108))) (let ((_let_111 (or _let_41 _let_46 _let_31 _let_34 _let_110))) (let ((_let_112 (forall ((P $$unsorted) (BOUND_VARIABLE_883 $$unsorted)) (or (not (tptp.observational_period P)) (not (tptp.slow_change P)) (not (tptp.environment BOUND_VARIABLE_883)) (not (tptp.in_environment P BOUND_VARIABLE_883)) (not (forall ((T $$unsorted)) (or (not (tptp.in_environment BOUND_VARIABLE_883 T)) (not (tptp.greater T (tptp.critical_point BOUND_VARIABLE_883)))))))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_110))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_114)) :args _let_114)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_108))) (REFL :args (_let_109)) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_41 _let_46 _let_31 _let_34 _let_110 (not _let_111)))) _let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_47 1)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_51)) :args ((or _let_45 _let_47))) _let_53 :args (_let_45 true _let_47)) _let_59 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 1)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_51)) :args ((or _let_33 _let_35))) _let_57 :args (_let_33 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment P BOUND_VARIABLE_883) false))))) :args (_let_112))) _let_113 :args (_let_111 false _let_112)) :args (_let_110 false _let_40 false _let_45 false _let_19 false _let_33 false _let_111)) :args (_let_109 true _let_108)))) (let ((_let_116 (REFL :args (_let_107)))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_107 1)) (CONG _let_116 (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_89))) :args _let_51)) :args ((or _let_89 _let_107))) _let_115 :args (_let_89 true _let_107)))) (let ((_let_118 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.greater X Y)) (not (tptp.greater Y Z)) (tptp.greater X Z))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (_let_118))) (let ((_let_121 (not (= (tptp.greater X Y) false)))) (let ((_let_122 (_let_121 (not (= (tptp.greater Y Z) false))))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_81 QUANTIFIERS_INST_E_MATCHING _let_122)) :args _let_120)) _let_119 :args (_let_101 false _let_118)))) (let ((_let_124 (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_92 _let_98 _let_96 (not _let_101)))))) (let ((_let_125 (tptp.greater_or_equal _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_126 (= _let_125 _let_103))) (let ((_let_127 (or _let_31 _let_106 _let_125))) (let ((_let_128 (forall ((E $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.in_environment E T)) (tptp.greater_or_equal (tptp.end_time E) T))))) (let ((_let_129 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_107 0)) (CONG _let_116 (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_105))) :args _let_51)) :args ((or _let_105 _let_107))) _let_115 :args (_let_105 true _let_107)))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_126)) :args ((or (not _let_125) _let_103 (not _let_126)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_31 _let_106 _let_125 (not _let_127)))) _let_59 _let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment E T) false))))) :args (_let_128))) _let_129 :args (_let_127 false _let_128)) :args (_let_125 false _let_19 false _let_105 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 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(_let_75)) :args ((or _let_31 _let_74 _let_71 _let_63 (not _let_75)))) _let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_95 _let_96 _let_84 (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_72 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.greater X Z) true)) _let_121))) :args _let_120)) _let_119 :args (_let_97 false _let_118)) _let_240 (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_92 _let_91 _let_90 (not _let_93)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_81 _let_72 QUANTIFIERS_INST_E_MATCHING _let_122)) :args _let_120)) _let_119 :args (_let_93 false _let_118)) _let_117 (REORDERING (CNF_OR_NEG :args (_let_85 0)) :args ((or (not _let_84) _let_85))) (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_87 _let_83 (not _let_88)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_146)) :args ((or (not _let_145) _let_88 (not _let_146)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_147)) :args ((or _let_31 _let_145 (not _let_147)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.environment E) false))))) :args (_let_148))) _let_149 :args (_let_147 false _let_148)) :args (_let_145 false _let_19 false _let_147)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_81 _let_72 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78)) _let_79 :args (_let_146 false _let_4)) :args (_let_88 false _let_145 false _let_146)) (REORDERING (CNF_EQUIV_POS2 :args (_let_86)) :args ((or _let_73 (not _let_85) (not _let_86)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_20 _let_72 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78)) _let_79 :args (_let_86 false _let_4)) (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_74)))) (CONG (REFL :args (_let_20)) (SYMM (ASSUME :args (_let_83))) :args _let_139) (TRUE_INTRO (ASSUME :args (_let_82))))) :args (_let_82 _let_83 _let_74))) (CONG (REFL :args _let_143) (REFL :args ((not _let_83))) (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_73))) :args _let_51)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_138 _let_140 _let_144) :args (_let_137 _let_104 _let_102)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_144)) (CONG _let_142 (REFL :args (_let_81)) :args _let_139) (TRUE_INTRO _let_138))) :args (_let_104 _let_102 _let_137)) :args ((not (and _let_137 _let_104 _let_102)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_137) _let_82))) (REFL :args ((not _let_104))) _let_136 :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_134)) :args ((or _let_104 (not _let_133) (not _let_134)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_133 0)) :args ((or _let_92 _let_133))) _let_117 :args (_let_133 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_81 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greater X Y)))) :args _let_78))) _let_79 :args (_let_134 false _let_4)) :args (_let_104 false _let_133 false _let_134)) _let_132 _let_131 _let_124 _let_123 _let_117 (CNF_OR_NEG :args (_let_99 0)) (REORDERING (CNF_EQUIV_POS2 :args (_let_100)) :args ((or _let_82 (not _let_99) (not _let_100)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_20 _let_81 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78)) _let_79 :args (_let_100 false _let_4)) :args (_let_82 false _let_104 false _let_102 false _let_103 true _let_94 false _let_101 false _let_89 true _let_98 true _let_99 false _let_100)) :args (_let_73 false _let_97 false _let_94 false _let_90 false _let_93 false _let_89 true _let_84 false _let_87 false _let_88 true _let_85 false _let_86 true _let_83 false _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_20 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78))) _let_79 :args (_let_70 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_20 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.greater_or_equal T (tptp.start_time E)) false))))) :args (_let_76))) _let_77 :args (_let_75 false _let_76)) :args (_let_63 false _let_19 false _let_73 false _let_70 false _let_75)))) (let ((_let_242 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_31 _let_64 _let_62 (not _let_65)))) _let_59 _let_241 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) _let_67 :args (_let_65 false _let_66)) :args (_let_62 false _let_19 false _let_63 false _let_65)))) (let ((_let_243 (not _let_62))) (let ((_let_244 (tptp.greater_or_equal _let_20 _let_184))) (let ((_let_245 (not _let_244))) (let ((_let_246 (or _let_31 _let_64 _let_245 _let_27))) (let ((_let_247 (tptp.greater _let_20 _let_184))) (let ((_let_248 (or _let_247 (= _let_20 _let_184)))) (let ((_let_249 (= _let_244 _let_248))) (let ((_let_250 (or _let_96 _let_205 _let_247))) (let ((_let_251 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_246)) :args ((or _let_31 _let_27 _let_64 _let_245 (not _let_246)))) _let_59 _let_241 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_249)) :args ((or _let_244 (not _let_248) (not _let_249)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_248 0)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_250)) :args ((or _let_96 _let_205 _let_247 (not _let_250)))) _let_240 _let_207 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_184 QUANTIFIERS_INST_E_MATCHING _let_122)) :args _let_120)) _let_119 :args (_let_250 false _let_118)) :args (_let_247 false _let_94 false _let_192 false _let_250)) :args (_let_248 false _let_247)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_20 _let_184 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78)) _let_79 :args (_let_249 false _let_4)) :args (_let_244 false _let_248 false _let_249)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_189 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_191)) :args _let_190)) _let_189 :args (_let_246 false _let_188)) :args (_let_27 false _let_19 false _let_63 false _let_244 false _let_246)))) (let ((_let_252 (tptp.greater_or_equal _let_24 tptp.zero))) (let ((_let_253 (or _let_31 _let_64 _let_252))) (let ((_let_254 (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_20))) (let ((_let_255 (tptp.greater _let_24 tptp.zero))) (let ((_let_256 (not _let_255))) (let ((_let_257 (or _let_31 _let_64 _let_256 _let_28 _let_254))) (let ((_let_258 (or _let_255 _let_25))) (let ((_let_259 (= _let_252 _let_258))) (let ((_let_260 (tptp.greater (tptp.growth_rate tptp.efficient_producers _let_20) (tptp.growth_rate tptp.first_movers _let_20)))) (let ((_let_261 (not _let_260))) (let ((_let_262 (not _let_254))) (let ((_let_263 (or _let_31 _let_262 _let_261 _let_21))) (let ((_let_264 (not _let_98))) (let ((_let_265 (or _let_262 _let_264 _let_260))) (let ((_let_266 (and _let_231 _let_265))) (let ((_let_267 (or _let_31 _let_266))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_217 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_258)) :args ((or _let_25 _let_255 (not _let_258)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_259)) :args ((or (not _let_252) _let_258 (not _let_259)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_24 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78))) _let_79 :args (_let_259 false _let_4)) (REORDERING (CNF_OR_POS :args (_let_257)) :args ((or _let_31 _let_28 _let_254 _let_64 _let_256 (not _let_257)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_228 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_230)) :args _let_229)) _let_228 :args (_let_257 false _let_227)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_265)) :args ((or _let_260 _let_264 _let_262 (not _let_265)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_266 1)) :args ((or _let_265 (not _let_266)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_267)) :args ((or _let_31 _let_266 (not _let_267)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_235 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subpopulations tptp.first_movers tptp.efficient_producers E BOUND_VARIABLE_979)))) :args _let_236)) _let_235 :args (_let_267 false _let_234)) :args (_let_266 false _let_19 false _let_267)) :args (_let_265 false _let_266)) (MACRO_RESOLUTION_TRUST _let_124 _let_117 _let_240 _let_123 :args (_let_98 false _let_89 false _let_94 false _let_101)) (REORDERING (CNF_OR_POS :args (_let_263)) :args ((or _let_31 _let_21 _let_261 _let_262 (not _let_263)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_238 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.first_movers tptp.efficient_producers _let_20 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.environment E) false)) (not (= (tptp.selection_favors S2 S1 T) true))))) :args _let_239)) _let_238 :args (_let_263 false _let_237)) _let_61 _let_59 :args (_let_262 false _let_265 false _let_98 true _let_260 false _let_263 true _let_21 false _let_19)) _let_59 (REORDERING (CNF_OR_POS :args (_let_253)) :args ((or _let_31 _let_64 _let_252 (not _let_253)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_225 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_20 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.environment E) false)) (tptp.cardinality_at_time tptp.first_movers T)))) :args _let_226)) _let_225 :args (_let_253 false _let_224)) _let_59 :args ((or _let_28 _let_25 _let_64) false _let_258 false _let_259 true _let_255 false _let_257 true _let_254 false _let_19 false _let_252 false _let_253 false _let_19)) _let_251 _let_241 :args (_let_25 false _let_27 false _let_63)) _let_251 _let_216 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_62 0)) :args ((or _let_23 _let_243))) _let_242 :args (_let_23 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_62 1)) :args ((or _let_22 _let_243))) _let_242 :args (_let_22 false _let_62)) _let_61 _let_59 :args (false false _let_25 false _let_27 false _let_32 false _let_23 false _let_22 true _let_21 false _let_19)) :args (_let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.end_time E))) (=> (and (tptp.environment E) (tptp.greater T (tptp.start_time E)) (not (tptp.greater T _let_1))) (tptp.greater_or_equal _let_1 T)))) _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.67/2.97  )
% 2.67/2.97  % SZS output end Proof for MGT039+2
% 2.67/2.97  % cvc5---1.0.5 exiting
% 2.67/2.97  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------