%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MGT027+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 09:09:02 EDT 2023

% Result   : Theorem 0.21s 0.55s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT027+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.18/0.34  % Computer : n018.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit   : 300
% 0.18/0.35  % WCLimit    : 300
% 0.18/0.35  % DateTime   : Mon Aug 28 06:42:47 EDT 2023
% 0.18/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.55  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.LL7INWDSTu/cvc5---1.0.5_30121.p...
% 0.21/0.55  ------- get file name : TPTP file name is MGT027+1
% 0.21/0.55  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30121.smt2...
% 0.21/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55  % SZS status Theorem for MGT027+1
% 0.21/0.55  % SZS output start Proof for MGT027+1
% 0.21/0.55  (
% 0.21/0.55  (let ((_let_1 (not (forall ((E $$unsorted)) (=> (and (tptp.environment E) (tptp.stable E)) (exists ((To $$unsorted)) (and (tptp.greater To (tptp.appear tptp.efficient_producers E)) (tptp.contracts_from To tptp.first_movers)))))))) (let ((_let_2 (forall ((E $$unsorted)) (=> (and (tptp.environment E) (tptp.stable E)) (exists ((To $$unsorted)) (and (tptp.greater To (tptp.appear tptp.efficient_producers E)) (forall ((T $$unsorted)) (=> (and (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) (tptp.greater_or_equal T To)) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers T)))))))))) (let ((_let_3 (forall ((E $$unsorted) (T $$unsorted)) (=> (and (tptp.environment E) (tptp.in_environment E T) (tptp.greater_or_equal T (tptp.appear tptp.efficient_producers E))) (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers T) tptp.zero))))) (let ((_let_4 (forall ((X $$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 $$unsorted)) (=> (and (tptp.environment E) (tptp.stable E)) (tptp.in_environment E (tptp.appear tptp.efficient_producers E)))))) (let ((_let_7 (forall ((E $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (=> (and (tptp.environment E) (tptp.stable E) (tptp.in_environment E T1) (tptp.greater T2 T1)) (tptp.in_environment E T2))))) (let ((_let_8 (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_9 (forall ((E $$unsorted) (To $$unsorted)) (=> (and (tptp.environment E) (tptp.stable E) (tptp.in_environment E To) (forall ((T $$unsorted)) (=> (and (tptp.greater (tptp.cardinality_at_time tptp.first_movers T) tptp.zero) (tptp.greater_or_equal T To)) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers T))))) (tptp.contracts_from To tptp.first_movers))))) (let ((_let_10 (tptp.environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (tptp.greater (tptp.cardinality_at_time tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) tptp.zero))) (let ((_let_12 (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_13 (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) tptp.zero))) (let ((_let_14 (not _let_13))) (let ((_let_15 (not _let_11))) (let ((_let_16 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_17 (not _let_16))) (let ((_let_18 (not _let_10))) (let ((_let_19 (or _let_18 _let_17 _let_15 _let_14 _let_12))) (let ((_let_20 (forall ((To $$unsorted)) (or (not (tptp.greater To (tptp.appear tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.contracts_from To tptp.first_movers)))))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.stable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_18 _let_23 _let_21))) (let ((_let_25 (forall ((E $$unsorted)) (or (not (tptp.environment E)) (not (tptp.stable E)) (not (forall ((To $$unsorted)) (or (not (tptp.greater To (tptp.appear tptp.efficient_producers E))) (not (tptp.contracts_from To tptp.first_movers))))))))) (let ((_let_26 (not _let_24))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (or))) (let ((_let_29 (not _let_25))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_27) :args (_let_29))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_25))) (REFL :args (_let_26)) :args _let_28)) _let_27 :args (_let_26 true _let_25)))) (let ((_let_31 (REFL :args (_let_24)))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 0)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_10))) :args _let_28)) :args ((or _let_10 _let_24))) _let_30 :args (_let_10 true _let_24)))) (let ((_let_33 (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_34 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_15 _let_35 _let_33))) (let ((_let_37 (forall ((T $$unsorted)) (or (not (tptp.greater (tptp.cardinality_at_time tptp.first_movers T) tptp.zero)) (not (tptp.greater_or_equal T SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers T)))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (tptp.contracts_from SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.first_movers))) (let ((_let_40 (not _let_37))) (let ((_let_41 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_18 _let_23 _let_42 _let_40 _let_39))) (let ((_let_44 (forall ((E $$unsorted) (To $$unsorted)) (or (not (tptp.environment E)) (not (tptp.stable E)) (not (tptp.in_environment E To)) (not (forall ((T $$unsorted)) (or (not (tptp.greater (tptp.cardinality_at_time tptp.first_movers T) tptp.zero)) (not (tptp.greater_or_equal T To)) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers T))))) (tptp.contracts_from To tptp.first_movers))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (tptp.appear tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_46))) (let ((_let_48 (not _let_47))) (let ((_let_49 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_46))) (let ((_let_50 (not _let_49))) (let ((_let_51 (or _let_18 _let_23 _let_50 _let_48 _let_41))) (let ((_let_52 (forall ((E $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (or (not (tptp.environment E)) (not (tptp.stable E)) (not (tptp.in_environment E T1)) (not (tptp.greater T2 T1)) (tptp.in_environment E T2))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (_let_52))) (let ((_let_55 (not (= (tptp.in_environment E T1) false)))) (let ((_let_56 (forall ((T $$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.zero (tptp.growth_rate tptp.first_movers T)))))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_48 _let_57))) (let ((_let_59 (forall ((To $$unsorted)) (or (not (tptp.greater To (tptp.appear tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (forall ((T $$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.zero (tptp.growth_rate tptp.first_movers T))))))))) (let ((_let_60 (not _let_58))) (let ((_let_61 (not _let_59))) (let ((_let_62 (or _let_18 _let_23 _let_61))) (let ((_let_63 (forall ((E $$unsorted)) (or (not (tptp.environment E)) (not (tptp.stable E)) (not (forall ((To $$unsorted)) (or (not (tptp.greater To (tptp.appear tptp.efficient_producers E))) (not (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (not (tptp.greater_or_equal T To)) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers T)))))))))))) (let ((_let_64 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 1)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_28)) :args ((or _let_22 _let_24))) _let_30 :args (_let_22 true _let_24)))) (let ((_let_66 (_let_61))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_66)) :args _let_66)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_59))) (REFL :args (_let_60)) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_18 _let_23 _let_61 (not _let_62)))) _let_32 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.environment E) false))))) :args (_let_63))) _let_64 :args (_let_62 false _let_63)) :args (_let_61 false _let_10 false _let_22 false _let_62)) :args (_let_60 true _let_59)))) (let ((_let_68 (REFL :args (_let_58)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 0)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_28)) :args ((or _let_47 _let_58))) _let_67 :args (_let_47 true _let_58)))) (let ((_let_70 (or _let_18 _let_23 _let_49))) (let ((_let_71 (forall ((E $$unsorted)) (or (not (tptp.environment E)) (not (tptp.stable E)) (tptp.in_environment E (tptp.appear tptp.efficient_producers E)))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_18 _let_23 _let_49 (not _let_70)))) _let_32 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.environment E) false))))) :args (_let_71))) _let_72 :args (_let_70 false _let_71)) :args (_let_49 false _let_10 false _let_22 false _let_70)))) (let ((_let_74 (not _let_39))) (let ((_let_75 (or _let_48 _let_74))) (let ((_let_76 (_let_20))) (let ((_let_77 (_let_40))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_77)) :args _let_77)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_37))) (REFL :args (_let_38)) :args _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_18 _let_23 _let_39 _let_42 _let_40 (not _let_43)))) _let_32 _let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_48 _let_74 (not _let_75)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_76) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater To _let_46) false))))) :args _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 2)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_28)) :args ((or _let_20 _let_24))) _let_30 :args (_let_20 true _let_24)) :args (_let_75 false _let_20)) :args (_let_74 false _let_47 false _let_75)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_18 _let_23 _let_50 _let_48 _let_41 (not _let_51)))) _let_32 _let_65 _let_73 _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING (_let_55 (not (= (tptp.greater T2 T1) false))))) :args _let_54)) _let_53 :args (_let_51 false _let_52)) :args (_let_41 false _let_10 false _let_22 false _let_49 false _let_47 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment E To) false))))) :args (_let_44))) _let_45 :args (_let_43 false _let_44)) :args (_let_40 false _let_10 false _let_22 true _let_39 false _let_41 false _let_43)) :args (_let_38 true _let_37)))) (let ((_let_79 (REFL :args (_let_36)))) (let ((_let_80 (not _let_12))) (let ((_let_81 (or _let_80 _let_35 _let_33))) (let ((_let_82 (_let_56))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 1)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_28)) :args ((or _let_34 _let_36))) _let_78 :args (_let_34 true _let_36)))) (let ((_let_84 (forall ((E $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.in_environment E T)) (not (tptp.greater (tptp.cardinality_at_time tptp.first_movers T) tptp.zero)) (not (tptp.greater (tptp.cardinality_at_time tptp.efficient_producers T) tptp.zero)) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_46))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_18 _let_23 _let_50 _let_87 _let_16))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.in_environment E T2) true)) _let_55))) :args _let_54)) _let_53 :args (_let_88 false _let_52)))) (let ((_let_90 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_91 (not _let_90))) (let ((_let_92 (or _let_91 _let_48 _let_86))) (let ((_let_93 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_94 (or _let_90 _let_93))) (let ((_let_95 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.greater X Y)) (not (tptp.greater Y Z)) (tptp.greater X Z))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (= _let_34 _let_94))) (let ((_let_98 (_let_4))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 (ASSUME :args (_let_87)))) (let ((_let_101 (ASSUME :args (_let_93)))) (let ((_let_102 (ASSUME :args (_let_47)))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_100 _let_101 _let_102) :args (_let_47 _let_93 _let_87)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_102)) (CONG (SYMM (SYMM _let_101)) (REFL :args (_let_46)) :args (APPLY_UF tptp.greater)) (FALSE_INTRO _let_100))) :args (_let_87 _let_93 _let_47)) :args ((not (and _let_47 _let_93 _let_87)) SB_LITERAL))) (CONG (REFL :args (_let_48)) (REFL :args ((not _let_93))) (MACRO_SR_PRED_INTRO :args ((= (not _let_87) _let_86))) :args _let_28)) _let_69 (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_90 _let_93 (not _let_94)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_97)) :args ((or _let_35 _let_94 (not _let_97)))) _let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greater_or_equal X Y)))) :args _let_98))) _let_99 :args (_let_97 false _let_4)) :args (_let_94 false _let_34 false _let_97)) (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_48 _let_91 _let_86 (not _let_92)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_46 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.greater X Y) false)) (not (= (tptp.greater Y Z) false))))) :args (_let_95))) _let_96 :args (_let_92 false _let_95)) _let_69 :args (_let_86 false _let_47 false _let_93 false _let_94 true _let_90 false _let_92 false _let_47)))) (let ((_let_104 (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_18 _let_23 _let_50 _let_16 _let_87 (not _let_88)))))) (let ((_let_105 (or _let_86 (= _let_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_106 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_46))) (let ((_let_107 (= _let_106 _let_105))) (let ((_let_108 (not _let_106))) (let ((_let_109 (or _let_18 _let_17 _let_108 _let_13))) (let ((_let_110 (forall ((E $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (tptp.in_environment E T)) (not (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_111 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_15 _let_12 _let_17 _let_14 (not _let_19)))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_18 _let_17 _let_13 _let_108 (not _let_109)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in_environment E T) false))))) :args (_let_110))) _let_111 :args (_let_109 false _let_110)) _let_32 (REORDERING (CNF_EQUIV_POS2 :args (_let_107)) :args ((or _let_106 (not _let_105) (not _let_107)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greater X Y)))) :args _let_98))) _let_99 :args (_let_107 false _let_4)) _let_104 _let_89 _let_73 _let_65 _let_32 (REORDERING (CNF_OR_NEG :args (_let_105 0)) :args ((or _let_87 _let_105))) :args ((or _let_13 _let_87) false _let_109 false _let_10 false _let_106 false _let_107 false _let_16 false _let_88 false _let_49 false _let_22 false _let_10 false _let_105)) _let_103 :args (_let_13 false _let_86)) (MACRO_RESOLUTION_TRUST _let_104 _let_32 _let_65 _let_73 _let_103 _let_89 :args (_let_16 false _let_10 false _let_22 false _let_49 false _let_86 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) true))))) :args (_let_84))) _let_85 :args (_let_19 false _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_35 _let_33 _let_80 (not _let_81)))) _let_83 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 2)) _let_78 :args ((not _let_33) true _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_82) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.greater_or_equal T SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) false))))) :args _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_58 1)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_56))) :args _let_28)) :args ((or _let_56 _let_58))) _let_67 :args (_let_56 true _let_58)) :args (_let_81 false _let_56)) :args (_let_80 false _let_34 true _let_33 false _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG _let_79 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_11))) :args _let_28)) :args ((or _let_11 _let_36))) _let_78 :args (_let_11 true _let_36)) _let_32 :args (false false _let_13 false _let_16 false _let_19 true _let_12 false _let_11 false _let_10)) :args (_let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.56  )
% 0.21/0.56  % SZS output end Proof for MGT027+1
% 0.21/0.56  % cvc5---1.0.5 exiting
% 0.21/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------