TSTP Solution File: MGT035+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : MGT035+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 0.19s 0.63s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT035+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.13 % Command : do_cvc5 %s %d
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 06:47:40 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.63 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.8Isz3HoYkh/cvc5---1.0.5_16503.p...
% 0.19/0.63 ------- get file name : TPTP file name is MGT035+1
% 0.19/0.63 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16503.smt2...
% 0.19/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.63 % SZS status Theorem for MGT035+1
% 0.19/0.63 % SZS output start Proof for MGT035+1
% 0.19/0.63 (
% 0.19/0.63 (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 ((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 ((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_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greater_or_equal X Y) (or (tptp.greater X Y) (= X Y)))))) (let ((_let_7 (forall ((E $$unsorted) (T1 $$unsorted) (T2 $$unsorted)) (=> (and (tptp.in_environment E T1) (tptp.in_environment E T2)) (or (tptp.greater T2 T1) (= T2 T1) (tptp.greater T1 T2)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.greater X Y) (tptp.greater Y Z)) (tptp.greater X Z))))) (let ((_let_9 (tptp.growth_rate tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_10 (tptp.greater tptp.zero _let_9))) (let ((_let_11 (tptp.growth_rate tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_12 (tptp.greater_or_equal _let_11 tptp.zero))) (let ((_let_13 (and _let_12 _let_10))) (let ((_let_14 (tptp.outcompetes tptp.efficient_producers tptp.first_movers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_15 (= _let_14 _let_13))) (let ((_let_16 (not _let_13))) (let ((_let_17 (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_15))) (let ((_let_22 (forall ((E $$unsorted) (S1 $$unsorted) (S2 $$unsorted) (T $$unsorted)) (or (not (tptp.environment E)) (not (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_23 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (_let_22))) (let ((_let_25 ((not (= (tptp.subpopulations S1 S2 E T) false))))) (let ((_let_26 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_18 _let_27 _let_14))) (let ((_let_29 (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not (tptp.greater_or_equal T SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (tptp.outcompetes tptp.efficient_producers tptp.first_movers T))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (not _let_29))) (let ((_let_32 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31))) (let ((_let_35 (forall ((To $$unsorted)) (or (not (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 To)) (not (forall ((T $$unsorted)) (or (not (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not (tptp.greater_or_equal T To)) (tptp.outcompetes tptp.efficient_producers tptp.first_movers T)))))))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.stable SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_20 _let_38 _let_36))) (let ((_let_40 (forall ((E $$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_41 (not _let_39))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (or))) (let ((_let_44 (not _let_40))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_42) :args (_let_44))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_40))) (REFL :args (_let_41)) :args _let_43)) _let_42 :args (_let_41 true _let_40)))) (let ((_let_46 (REFL :args (_let_39)))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 2)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_43)) :args ((or _let_35 _let_39))) _let_45 :args (_let_35 true _let_39)))) (let ((_let_48 (_let_35))) (let ((_let_49 ((not (= (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 To) false))))) (let ((_let_50 (ASSUME :args _let_48))) (let ((_let_51 (tptp.equilibrium SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_51))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_33 _let_53))) (let ((_let_55 (forall ((T $$unsorted)) (or (not (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T)) (not (tptp.greater_or_equal T (tptp.equilibrium SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))))) (let ((_let_56 (not _let_54))) (let ((_let_57 (not _let_55))) (let ((_let_58 (or _let_20 _let_38 _let_57))) (let ((_let_59 (forall ((E $$unsorted)) (or (not (tptp.environment E)) (not (tptp.stable E)) (not (forall ((T $$unsorted)) (or (not (tptp.in_environment E T)) (not (tptp.greater_or_equal T (tptp.equilibrium E)))))))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 1)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_43)) :args ((or _let_37 _let_39))) _let_45 :args (_let_37 true _let_39)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 0)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_43)) :args ((or _let_19 _let_39))) _let_45 :args (_let_19 true _let_39)))) (let ((_let_63 (_let_57))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_63)) :args _let_63)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_57) _let_55))) (REFL :args (_let_56)) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_20 _let_38 _let_57 (not _let_58)))) _let_62 _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.environment E) false))))) :args (_let_59))) _let_60 :args (_let_58 false _let_59)) :args (_let_57 false _let_19 false _let_37 false _let_58)) :args (_let_56 true _let_55)))) (let ((_let_65 (REFL :args (_let_54)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 0)) (CONG _let_65 (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_43)) :args ((or _let_32 _let_54))) _let_64 :args (_let_32 true _let_54)))) (let ((_let_67 (_let_31))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_67)) :args _let_67)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_29))) (REFL :args (_let_30)) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_31 (not _let_34)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_47 :args (_let_34 false _let_35)) :args (_let_31 false _let_32 false _let_34)) :args (_let_30 true _let_29)))) (let ((_let_69 (REFL :args (_let_28)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_43)) :args ((or _let_17 _let_28))) _let_68 :args (_let_17 true _let_28)))) (let ((_let_71 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_15)) :args ((or _let_14 _let_16 (not _let_15)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_28 2)) _let_68 :args ((not _let_14) true _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_18 _let_15 (not _let_21)))) _let_62 _let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24))) _let_23 :args (_let_21 false _let_22)) :args (_let_15 false _let_19 false _let_17 false _let_21)) :args (_let_16 true _let_14 false _let_15)))) (let ((_let_72 (tptp.greater _let_11 _let_9))) (let ((_let_73 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_18 _let_74 _let_72))) (let ((_let_76 (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_77 (not _let_76))) (let ((_let_78 (tptp.in_environment SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_77))) (let ((_let_81 (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_82 (not _let_80))) (let ((_let_83 (not _let_81))) (let ((_let_84 (or _let_20 _let_38 _let_83))) (let ((_let_85 (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_86 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (_let_83))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_87)) :args _let_87)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_81))) (REFL :args (_let_82)) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_20 _let_38 _let_83 (not _let_84)))) _let_62 _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.environment E) false))))) :args (_let_85))) _let_86 :args (_let_84 false _let_85)) :args (_let_83 false _let_19 false _let_37 false _let_84)) :args (_let_82 true _let_81)))) (let ((_let_89 (REFL :args (_let_80)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 1)) (CONG _let_89 (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_76))) :args _let_43)) :args ((or _let_76 _let_80))) _let_88 :args (_let_76 true _let_80)))) (let ((_let_91 (_let_76))) (let ((_let_92 ((not (= (tptp.subpopulations tptp.first_movers tptp.efficient_producers SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 T) false))))) (let ((_let_93 (ASSUME :args _let_91))) (let ((_let_94 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_95 (or _let_94 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_96 (= _let_73 _let_95))) (let ((_let_97 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_98 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_99 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_100 (or _let_79 _let_33 _let_99 _let_97 _let_98))) (let ((_let_101 (_let_6))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 ((tptp.greater_or_equal X Y)))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 1)) (CONG _let_69 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_43)) :args ((or _let_26 _let_28))) _let_68 :args (_let_26 true _let_28)))) (let ((_let_105 (and _let_97 _let_26))) (let ((_let_106 (ASSUME :args (_let_26)))) (let ((_let_107 (APPLY_UF tptp.greater_or_equal))) (let ((_let_108 (ASSUME :args (_let_97)))) (let ((_let_109 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 0)) (CONG _let_89 (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_78))) :args _let_43)) :args ((or _let_78 _let_80))) _let_88 :args (_let_78 true _let_80)))) (let ((_let_111 (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_112 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_51))) (let ((_let_114 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_51))) (let ((_let_115 (not _let_114))) (let ((_let_116 (not _let_98))) (let ((_let_117 (or _let_116 _let_115 _let_113))) (let ((_let_118 (= _let_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_119 (or _let_114 _let_118))) (let ((_let_120 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_51))) (let ((_let_121 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_122 (not _let_113))) (let ((_let_123 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_124 (not _let_123))) (let ((_let_125 (or _let_124 _let_122 _let_120))) (let ((_let_126 (or _let_123 _let_121))) (let ((_let_127 (or _let_120 (= _let_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_128 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 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0)) (RESOLUTION (CNF_AND_NEG :args (_let_105)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_106 _let_108) (SCOPE (TRUE_ELIM (TRANS (CONG _let_109 (SYMM (SYMM _let_108)) :args _let_107) (TRUE_INTRO _let_106))) :args (_let_26 _let_97))) :args (_let_97 _let_26))) :args (true _let_105)) _let_104 (REORDERING (CNF_EQUIV_POS2 :args (_let_96)) :args ((or _let_73 (not _let_95) (not _let_96)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101))) _let_102 :args (_let_96 false _let_6)) :args (_let_73 false _let_99 true _let_98 false _let_100 false _let_32 false _let_78 true _let_94 true _let_97 false _let_26 true _let_95 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_92)) :args _let_91)) _let_90 :args (_let_75 false _let_76)) :args (_let_72 false _let_17 false _let_73 false _let_75)))) (let ((_let_235 (not _let_72))) (let ((_let_236 (tptp.greater tptp.zero _let_11))) (let ((_let_237 (not _let_236))) (let ((_let_238 (or _let_237 _let_235 _let_10))) (let ((_let_239 (= tptp.zero _let_11))) (let ((_let_240 (= tptp.zero _let_9))) (let ((_let_241 (and _let_240 _let_239))) (let ((_let_242 (tptp.greater _let_9 tptp.zero))) (let ((_let_243 (and _let_242 _let_236))) (let ((_let_244 (tptp.greater _let_11 tptp.zero))) (let ((_let_245 (and _let_244 _let_10))) (let ((_let_246 (tptp.greater_or_equal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_51))) (let ((_let_247 (not _let_246))) (let ((_let_248 (or _let_20 _let_18 _let_247 _let_241 _let_243 _let_245))) (let ((_let_249 (not _let_241))) (let ((_let_250 (REORDERING (CNF_AND_POS :args (_let_241 1)) :args ((or _let_239 _let_249))))) (let ((_let_251 (not _let_239))) (let ((_let_252 (not _let_240))) (let ((_let_253 (not _let_10))) (let ((_let_254 (ASSUME :args (_let_253)))) (let ((_let_255 (ASSUME :args (_let_240)))) (let ((_let_256 (SYMM _let_255))) (let ((_let_257 (ASSUME :args (_let_239)))) (let ((_let_258 (ASSUME :args (_let_72)))) (let ((_let_259 (not _let_243))) (let ((_let_260 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_184)) :args _let_183)) _let_182 :args (_let_248 false _let_181)))) (let ((_let_261 (tptp.greater SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_51))) (let ((_let_262 (or _let_261 (= _let_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_263 (= _let_246 _let_262))) (let ((_let_264 (or _let_221 _let_115 _let_261))) (let ((_let_265 (and _let_52 _let_223))) (let ((_let_266 (ASSUME :args (_let_52)))) (let ((_let_267 (not _let_261))) (let ((_let_268 (ASSUME :args (_let_267)))) (let ((_let_269 (ASSUME :args (_let_220)))) (let ((_let_270 (MACRO_RESOLUTION_TRUST _let_212 _let_211 (REORDERING (CNF_OR_POS :args (_let_264)) :args ((or _let_115 _let_221 _let_261 (not _let_264)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_51 QUANTIFIERS_INST_E_MATCHING _let_178)) :args _let_175)) _let_174 :args (_let_264 false _let_173)) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_268 _let_215 _let_269) :args (_let_118 _let_220 _let_267)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_269)) (CONG _let_109 _let_216 :args _let_195) (FALSE_INTRO _let_268))) :args (_let_267 _let_118 _let_220)) :args ((not (and _let_118 _let_220 _let_267)) SB_LITERAL))) (CONG _let_213 (REFL :args (_let_221)) (MACRO_SR_PRED_INTRO :args ((= (not _let_267) _let_261))) :args _let_43)) _let_227 _let_226 (CNF_OR_NEG :args (_let_262 0)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_265)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_231 _let_266) (SCOPE (TRUE_ELIM (TRANS (CONG _let_232 _let_204 :args _let_107) (TRUE_INTRO _let_266))) :args (_let_223 _let_52))) :args (_let_52 _let_223))) :args (true _let_265)) :args ((or _let_53 _let_246 _let_229))) _let_210 (REORDERING (CNF_EQUIV_POS2 :args (_let_263)) :args ((or _let_246 (not _let_262) (not _let_263)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101))) _let_102 :args (_let_263 false _let_6)) :args (_let_246 false _let_119 true _let_114 false _let_264 true _let_118 false _let_220 false _let_224 true _let_261 true _let_223 false _let_52 true _let_262 false _let_263)))) (let ((_let_271 (or _let_244 _let_239))) (let ((_let_272 (= _let_12 _let_271))) (let ((_let_273 (not _let_245))) (let ((_let_274 (REORDERING (CNF_OR_NEG :args (_let_271 0)) :args ((or (not _let_244) _let_271))))) (let ((_let_275 (CNF_AND_NEG :args (_let_13)))) (let ((_let_276 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_11 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101))) _let_102 :args (_let_272 false _let_6)))) (let ((_let_277 (REORDERING (CNF_EQUIV_POS2 :args (_let_272)) :args ((or _let_12 (not _let_271) (not _let_272)))))) (let ((_let_278 (MACRO_RESOLUTION_TRUST _let_277 _let_276 _let_275 _let_71 _let_274 (REORDERING (CNF_AND_POS :args (_let_245 1)) :args ((or _let_10 _let_273))) (REORDERING (CNF_AND_POS :args (_let_245 0)) :args ((or _let_244 _let_273))) :args (_let_273 false _let_272 true _let_12 true _let_13 false _let_271 false _let_10 false _let_244)))) (let ((_let_279 (REORDERING (CNF_OR_POS :args (_let_248)) :args ((or _let_20 _let_18 _let_247 _let_241 _let_243 _let_245 (not _let_248)))))) (let ((_let_280 (not _let_242))) (let ((_let_281 (or _let_235 _let_280 _let_244))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_275 (MACRO_RESOLUTION_TRUST _let_277 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_279 _let_278 _let_260 _let_70 _let_62 (REORDERING (CNF_AND_POS :args (_let_243 0)) :args ((or _let_242 _let_259))) _let_250 (REORDERING (CNF_OR_POS :args (_let_281)) :args ((or _let_244 _let_280 _let_235 (not _let_281)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (_let_11 _let_9 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_208)) :args _let_175)) _let_174 :args (_let_281 false _let_173)) (REORDERING (CNF_OR_NEG :args (_let_271 1)) :args ((or _let_251 _let_271))) _let_274 :args ((or _let_247 _let_235 _let_271) true _let_245 false _let_248 false _let_17 false _let_19 true _let_243 true _let_241 true _let_242 false _let_281 true _let_239 true _let_244)) _let_270 _let_234 :args (_let_271 false _let_246 false _let_72)) _let_276 :args (_let_12 false _let_271 false _let_272)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_279 _let_278 _let_270 _let_260 _let_70 _let_62 (REORDERING (CNF_AND_POS :args (_let_243 1)) :args ((or _let_236 _let_259))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_254 _let_255 _let_257 _let_258) :args (_let_240 _let_239 _let_72 _let_253)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_258)) (CONG (REFL :args (_let_11)) _let_256 :args _let_195) (CONG (SYMM _let_257) _let_198 :args _let_195) (CONG _let_198 (SYMM _let_256) :args _let_195) (FALSE_INTRO _let_254))) :args (_let_253 _let_240 _let_239 _let_72)) :args ((not (and _let_240 _let_239 _let_72 _let_253)) SB_LITERAL))) (CONG (REFL :args (_let_252)) (REFL :args (_let_251)) (REFL :args (_let_235)) (MACRO_SR_PRED_INTRO :args ((= (not _let_253) _let_10))) :args _let_43)) :args ((or _let_10 _let_252 _let_251 _let_235))) _let_250 (REORDERING (CNF_AND_POS :args (_let_241 0)) :args ((or _let_240 _let_249))) :args ((or _let_10 _let_249 _let_235) false _let_239 false _let_240)) (REORDERING (CNF_OR_POS :args (_let_238)) :args ((or _let_10 _let_237 _let_235 (not _let_238)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_174 :args (tptp.zero _let_11 _let_9 QUANTIFIERS_INST_E_MATCHING _let_178)) :args _let_175)) _let_174 :args (_let_238 false _let_173)) :args ((or _let_10 _let_235) true _let_245 false _let_246 false _let_248 false _let_17 false _let_19 true _let_243 true _let_241 true _let_236 false _let_238)) _let_234 :args (_let_10 false _let_72)) _let_71 :args (false false _let_12 false _let_10 true _let_13)) :args (_let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.64 )
% 0.19/0.64 % SZS output end Proof for MGT035+1
% 0.19/0.64 % cvc5---1.0.5 exiting
% 0.19/0.64 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------