%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MGT029+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 09:09:03 EDT 2023

% Result   : Theorem 0.20s 0.61s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : MGT029+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 28 06:38:40 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.61  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.zY8G9LTJKf/cvc5---1.0.5_27535.p...
% 0.20/0.61  ------- get file name : TPTP file name is MGT029+1
% 0.20/0.61  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27535.smt2...
% 0.20/0.61  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.61  % SZS status Theorem for MGT029+1
% 0.20/0.61  % SZS output start Proof for MGT029+1
% 0.20/0.61  (
% 0.20/0.61  (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 $$unsorted)) (=> (and (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) (tptp.greater_or_equal T To)) (and (tptp.greater (tptp.growth_rate tptp.efficient_producers T) tptp.zero) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers T)))))))))))) (let ((_let_2 (forall ((E $$unsorted)) (=> (and (tptp.environment E) (tptp.stable E)) (exists ((T $$unsorted)) (and (tptp.in_environment E T) (tptp.greater_or_equal T (tptp.equilibrium E)))))))) (let ((_let_3 (forall ((E $$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_4 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.first_movers T))) (let ((_let_2 (tptp.growth_rate tptp.efficient_producers T))) (=> (and (tptp.environment E) (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) (tptp.greater_or_equal T (tptp.equilibrium E))) (or (and (= _let_1 tptp.zero) (= _let_2 tptp.zero)) (and (tptp.greater _let_1 tptp.zero) (tptp.greater tptp.zero _let_2)) (and (tptp.greater _let_2 tptp.zero) (tptp.greater tptp.zero _let_1))))))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greater_or_equal X Y) (or (tptp.greater X Y) (= X Y)))))) (let ((_let_6 (forall ((E $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (=> (and (tptp.in_environment E T1) (tptp.in_environment E T2)) (or (tptp.greater T2 T1) (= T2 T1) (tptp.greater T1 T2)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.greater X Y) (tptp.greater Y Z)) (tptp.greater X Z))))) (let ((_let_8 (tptp.growth_rate tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_9 (tptp.growth_rate tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_10 (tptp.greater _let_9 _let_8))) (let ((_let_11 (= tptp.zero _let_8))) (let ((_let_12 (= tptp.zero _let_9))) (let ((_let_13 (tptp.greater tptp.zero _let_8))) (let ((_let_14 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_10))) (let ((_let_19 (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not (tptp.greater_or_equal T SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T)))))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20))) (let ((_let_24 (forall ((To $$unsorted)) (or (not (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 To)) (not (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not (tptp.greater_or_equal T To)) (tptp.greater (tptp.growth_rate tptp.efficient_producers T) (tptp.growth_rate tptp.first_movers T))))))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (not _let_24))) (let ((_let_27 (tptp.stable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_28 _let_26))) (let ((_let_32 (forall ((E $$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_33 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (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)) (and (tptp.greater (tptp.growth_rate tptp.efficient_producers T) tptp.zero) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers T)))))))))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_30 _let_28 _let_35))) (let ((_let_37 (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)) (and (tptp.greater (tptp.growth_rate tptp.efficient_producers T) tptp.zero) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers T))))))))))))) (let ((_let_38 (not _let_36))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (or))) (let ((_let_41 (not _let_37))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_39) :args (_let_41))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_37))) (REFL :args (_let_38)) :args _let_40)) _let_39 :args (_let_38 true _let_37)))) (let ((_let_43 (REFL :args (_let_36)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 1)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_40)) :args ((or _let_27 _let_36))) _let_42 :args (_let_27 true _let_36)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 0)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_40)) :args ((or _let_29 _let_36))) _let_42 :args (_let_29 true _let_36)))) (let ((_let_46 (_let_26))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_46)) :args _let_46)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_24))) (REFL :args (_let_25)) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_28 _let_26 (not _let_31)))) _let_45 _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.environment E) false))))) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_26 false _let_29 false _let_27 false _let_31)) :args (_let_25 true _let_24)))) (let ((_let_48 (REFL :args (_let_23)))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 1)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_40)) :args ((or _let_19 _let_23))) _let_47 :args (_let_19 true _let_23)))) (let ((_let_50 (_let_19))) (let ((_let_51 ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T) false))))) (let ((_let_52 (ASSUME :args _let_50))) (let ((_let_53 (tptp.greater _let_9 tptp.zero))) (let ((_let_54 (and _let_53 _let_13))) (let ((_let_55 (or _let_17 _let_15 _let_54))) (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_5)) (and (tptp.greater (tptp.growth_rate tptp.efficient_producers T) tptp.zero) (tptp.greater tptp.zero (tptp.growth_rate tptp.first_movers T))))))) (let ((_let_57 (not _let_55))) (let ((_let_58 (not _let_56))) (let ((_let_59 (or _let_22 _let_58))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_36 2)) (CONG _let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_40)) :args ((or _let_34 _let_36))) _let_42 :args (_let_34 true _let_36)))) (let ((_let_61 (_let_34))) (let ((_let_62 ((not (= (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 To) false))))) (let ((_let_63 (ASSUME :args _let_61))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG _let_48 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_40)) :args ((or _let_21 _let_23))) _let_47 :args (_let_21 true _let_23)))) (let ((_let_65 (_let_58))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_65)) :args _let_65)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_56))) (REFL :args (_let_57)) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_22 _let_58 (not _let_59)))) _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_59 false _let_34)) :args (_let_58 false _let_21 false _let_59)) :args (_let_57 true _let_56)))) (let ((_let_67 (REFL :args (_let_55)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 1)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_40)) :args ((or _let_14 _let_55))) _let_66 :args (_let_14 true _let_55)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 0)) (CONG _let_67 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_40)) :args ((or _let_16 _let_55))) _let_66 :args (_let_16 true _let_55)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_15 _let_10 (not _let_18)))) _let_69 _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_18 false _let_19)) :args (_let_10 false _let_16 false _let_14 false _let_18)))) (let ((_let_71 (and _let_11 _let_12))) (let ((_let_72 (tptp.greater tptp.zero _let_9))) (let ((_let_73 (tptp.greater _let_8 tptp.zero))) (let ((_let_74 (and _let_73 _let_72))) (let ((_let_75 (tptp.equilibrium SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_76 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_75))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_30 _let_17 _let_77 _let_71 _let_74 _let_54))) (let ((_let_79 (forall ((E $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.growth_rate tptp.first_movers T))) (let ((_let_2 (tptp.growth_rate tptp.efficient_producers T))) (or (not (tptp.environment E)) (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T)) (not (tptp.greater_or_equal T (tptp.equilibrium E))) (and (= tptp.zero _let_1) (= tptp.zero _let_2)) (and (tptp.greater _let_1 tptp.zero) (tptp.greater tptp.zero _let_2)) (and (tptp.greater _let_2 tptp.zero) (tptp.greater tptp.zero _let_1)))))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (_let_79))) (let ((_let_82 ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers E T) false))))) (let ((_let_83 (not _let_73))) (let ((_let_84 (not _let_10))) (let ((_let_85 (or _let_84 _let_83 _let_53))) (let ((_let_86 (not _let_72))) (let ((_let_87 (or _let_86 _let_84 _let_13))) (let ((_let_88 (not _let_74))) (let ((_let_89 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.greater X Y)) (not (tptp.greater Y Z)) (tptp.greater X Z))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (_let_89))) (let ((_let_92 (not (= (tptp.greater X Y) false)))) (let ((_let_93 (_let_92 (not (= (tptp.greater Y Z) false))))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_55 2)) _let_66 :args ((not _let_54) true _let_55)))) (let ((_let_95 (CNF_AND_NEG :args (_let_54)))) (let ((_let_96 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_97 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_98 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_99 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_22 _let_100 _let_98 _let_97 _let_96))) (let ((_let_102 (forall ((E $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (or (not (tptp.in_environment E T1)) (not (tptp.in_environment E T2)) (tptp.greater T2 T1) (= T1 T2) (tptp.greater T1 T2))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_105 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_106 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_107 (or _let_105 _let_106))) (let ((_let_108 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_109 (not _let_97))) (let ((_let_110 (or _let_104 _let_108))) (let ((_let_111 (not _let_104))) (let ((_let_112 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_113 (= _let_112 _let_110))) (let ((_let_114 (not _let_110))) (let ((_let_115 (_let_5))) (let ((_let_116 (ASSUME :args _let_115))) (let ((_let_117 ((tptp.greater_or_equal X Y)))) (let ((_let_118 (tptp.growth_rate tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_119 (tptp.growth_rate tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_120 (tptp.greater _let_119 _let_118))) (let ((_let_121 (not _let_112))) (let ((_let_122 (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_123 (not _let_122))) (let ((_let_124 (or _let_123 _let_121 _let_120))) (let ((_let_125 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_75))) (let ((_let_126 (or _let_125 (= _let_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_127 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_75))) (let ((_let_128 (= _let_127 _let_126))) (let ((_let_129 (tptp.greater _let_119 tptp.zero))) (let ((_let_130 (tptp.greater tptp.zero _let_118))) (let ((_let_131 (and _let_129 _let_130))) (let ((_let_132 (= tptp.zero _let_119))) (let ((_let_133 (= tptp.zero _let_118))) (let ((_let_134 (and _let_133 _let_132))) (let ((_let_135 (not _let_120))) (let ((_let_136 (tptp.greater tptp.zero _let_119))) (let ((_let_137 (not _let_136))) (let ((_let_138 (or _let_137 _let_135 _let_130))) (let ((_let_139 (tptp.greater _let_118 tptp.zero))) (let ((_let_140 (and _let_139 _let_136))) (let ((_let_141 (not _let_127))) (let ((_let_142 (or _let_30 _let_123 _let_141 _let_134 _let_140 _let_131))) (let ((_let_143 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_75))) (let ((_let_144 (not _let_106))) (let ((_let_145 (not _let_143))) (let ((_let_146 (or _let_100 _let_145))) (let ((_let_147 (forall ((T $$unsorted)) (or (not (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_75))) (let ((_let_258 (or _let_257 (= _let_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_259 (= _let_76 _let_258))) (let ((_let_260 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_75))) (let ((_let_261 (not _let_96))) (let ((_let_262 (or _let_261 _let_221 _let_260))) (let ((_let_263 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_264 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_265 (or _let_264 _let_263))) (let ((_let_266 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_267 (not _let_264))) (let ((_let_268 (or _let_267 _let_261 _let_266))) (let ((_let_269 (or _let_266 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_270 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_271 (= _let_270 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_let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_75 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_91)) _let_90 :args (_let_262 false _let_89)))) (let ((_let_283 (REORDERING (CNF_OR_POS :args (_let_262)) :args ((or _let_261 _let_221 _let_260 (not _let_262)))))) (let ((_let_284 (ASSUME :args (_let_272)))) (let ((_let_285 (ASSUME :args (_let_96)))) (let ((_let_286 (and _let_219 _let_77))) (let ((_let_287 (ASSUME :args (_let_77)))) (let ((_let_288 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_30 _let_17 _let_54 _let_77 _let_71 _let_74 (not _let_78)))) _let_45 _let_69 _let_94 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_286)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_287 _let_229) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) _let_230 :args _let_160) (FALSE_INTRO _let_287))) :args (_let_77 _let_219))) :args (_let_219 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_let_236 _let_235 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_284 _let_277 _let_229 _let_285) :args (_let_96 _let_219 _let_263 _let_272)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_285)) (CONG _let_277 _let_230 :args _let_176) _let_278 (FALSE_INTRO _let_284))) :args (_let_272 _let_263 _let_219 _let_96)) :args ((not (and _let_96 _let_219 _let_263 _let_272)) SB_LITERAL))) (CONG (REFL :args (_let_261)) _let_227 (REFL :args (_let_274)) (MACRO_SR_PRED_INTRO :args ((= (not _let_272) _let_260))) :args _let_40)) _let_236 _let_235 _let_283 _let_282 :args ((or _let_261 _let_274 _let_260) false _let_219 false _let_224 true _let_220 false _let_262)) _let_283 _let_282 (MACRO_RESOLUTION_TRUST _let_281 _let_280 (REORDERING (CNF_OR_POS :args (_let_273)) :args ((or _let_267 _let_257 _let_272 (not _let_273)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 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_let_269 false _let_266 false _let_268 false _let_264 false _let_265 false _let_219 false _let_224 true _let_263 true _let_220 false _let_262 true _let_260 true _let_257 true _let_258 false _let_259)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_22 _let_100 _let_98 _let_97 _let_96 (not _let_101)))) _let_64 _let_190 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_246 _let_162 _let_256) :args (_let_98 _let_106 _let_111)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_256)) (CONG _let_163 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) :args _let_176) _let_247)) :args (_let_111 _let_106 _let_98)) :args ((not (and _let_98 _let_106 _let_111)) SB_LITERAL))) (CONG (REFL :args (_let_254)) _let_251 _let_244 :args _let_40)) _let_218 _let_217 (REORDERING (CNF_OR_POS :args (_let_255)) :args ((or _let_254 _let_222 _let_104 (not _let_255)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_91)) _let_90 :args (_let_255 false _let_89)) :args ((or _let_254 _let_104) false _let_106 false _let_107 true _let_105 false _let_255)) _let_243 :args (_let_254 true _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_252)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_253 _let_248) (SCOPE (FALSE_ELIM (TRANS (CONG _let_249 _let_231 :args (=)) (FALSE_INTRO _let_253))) :args (_let_250 _let_97))) :args (_let_97 _let_250))) :args (true _let_252)) (CONG _let_245 (MACRO_SR_PRED_INTRO :args ((= (not _let_250) _let_108))) _let_251 :args _let_40)) :args ((or _let_109 _let_144 _let_108))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_110 1)) _let_242 :args (_let_250 true _let_110)) _let_218 _let_217 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_246 _let_248 _let_232) :args (_let_97 _let_105 _let_111)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_233 (CONG _let_231 _let_249 :args _let_176) _let_247)) :args (_let_111 _let_97 _let_105)) :args ((not (and _let_97 _let_105 _let_111)) SB_LITERAL))) (CONG _let_245 _let_226 _let_244 :args _let_40)) _let_243 :args (_let_109 true _let_108 false _let_106 false _let_107 true _let_105 true _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.in_environment E T1) false)) (not (= (tptp.in_environment E T2) false))))) :args (_let_102))) _let_103 :args (_let_101 false _let_102)) :args (_let_96 false _let_21 false _let_99 true _let_98 true _let_97 false _let_101)) :args (_let_76 false _let_96)) (MACRO_RESOLUTION_TRUST _let_95 _let_94 (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_13 _let_86 _let_84 (not _let_87)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.zero _let_9 _let_8 QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_91)) _let_90 :args (_let_87 false _let_89)) _let_70 (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_53 _let_83 _let_84 (not _let_85)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_9 _let_8 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_93)) :args _let_91)) _let_90 :args (_let_85 false _let_89)) _let_70 (REORDERING (CNF_AND_POS :args (_let_74 1)) :args ((or _let_72 _let_88))) (REORDERING (CNF_AND_POS :args (_let_74 0)) :args ((or _let_73 _let_88))) :args (_let_88 true _let_54 false _let_13 false _let_87 false _let_10 false _let_53 false _let_85 false _let_10 false _let_72 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_81)) _let_80 :args (_let_78 false _let_79)) :args (_let_71 false _let_29 false _let_16 true _let_54 false _let_76 true _let_74 false _let_78)))) (let ((_let_289 (not _let_71))) (let ((_let_290 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 0)) :args ((or _let_11 _let_289))) _let_288 :args (_let_11 false _let_71)))) (let ((_let_291 (not _let_11))) (let ((_let_292 (and _let_11 _let_10))) (let ((_let_293 (ASSUME :args (_let_10)))) (let ((_let_294 (TRUE_INTRO _let_293))) (let ((_let_295 (ASSUME :args (_let_11)))) (let ((_let_296 (SYMM _let_295))) (let ((_let_297 (SYMM _let_296))) (let ((_let_298 (and _let_11 _let_12 _let_10))) (let ((_let_299 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_298)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_293 _let_299 _let_295) (SCOPE (TRUE_ELIM (TRANS (CONG _let_197 _let_296 :args _let_176) (CONG (SYMM (SYMM _let_299)) _let_297 :args _let_176) _let_294)) :args (_let_10 _let_12 _let_11))) :args (_let_11 _let_12 _let_10))) :args (true _let_298)) :args ((or _let_13 _let_291 (not _let_12) _let_84))) (MACRO_RESOLUTION_TRUST _let_95 _let_94 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_292)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_293 _let_295) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_9)) _let_297 :args _let_176) _let_294)) :args (_let_10 _let_11))) :args (_let_11 _let_10))) :args (true _let_292)) :args ((or _let_53 _let_291 _let_84))) _let_290 _let_70 :args (_let_53 false _let_11 false _let_10)) :args ((not _let_13) true _let_54 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_71 1)) :args ((or _let_12 _let_289))) _let_288 :args (_let_12 false _let_71)) _let_290 _let_70 :args (false true _let_13 false _let_12 false _let_11 false _let_10)) :args (_let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.62  )
% 0.20/0.62  % SZS output end Proof for MGT029+1
% 0.20/0.62  % cvc5---1.0.5 exiting
% 0.20/0.62  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------