%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MED005+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 09:06:01 EDT 2023

% Result   : Theorem 0.22s 0.65s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : MED005+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.19/0.35  % Computer : n021.cluster.edu
% 0.19/0.35  % Model    : x86_64 x86_64
% 0.19/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35  % Memory   : 8042.1875MB
% 0.19/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35  % CPULimit   : 300
% 0.19/0.35  % WCLimit    : 300
% 0.19/0.35  % DateTime   : Fri Aug 25 07:35:26 EDT 2023
% 0.19/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.65  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.PHjocnOfwC/cvc5---1.0.5_29070.p...
% 0.22/0.65  ------- get file name : TPTP file name is MED005+1
% 0.22/0.65  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29070.smt2...
% 0.22/0.65  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.65  % SZS status Theorem for MED005+1
% 0.22/0.65  % SZS output start Proof for MED005+1
% 0.22/0.65  (
% 0.22/0.65  (let ((_let_1 (tptp.s0 tptp.n0))) (let ((_let_2 (not (=> (and _let_1 (forall ((X0 $$unsorted)) (=> (tptp.gt tptp.n0 X0) (tptp.conditionhyper X0)))) (exists ((X0 $$unsorted)) (and (not (tptp.gt tptp.n0 X0)) (tptp.s1 X0) (forall ((X1 $$unsorted)) (=> (tptp.gt X0 X1) (tptp.conditionhyper X1))))))))) (let ((_let_3 (forall ((X0 $$unsorted)) (=> (and (tptp.s0 X0) (not (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.conditionnormo X1))))) (exists ((X1 $$unsorted)) (and (not (tptp.gt X0 X1)) (tptp.s1 X1) (forall ((X2 $$unsorted)) (=> (tptp.gt X1 X2) (tptp.conditionhyper X2))))))))) (let ((_let_4 (forall ((X0 $$unsorted)) (=> (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (not (tptp.releaselg X1)))) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.drugbg X1))))))) (let ((_let_5 (forall ((X0 $$unsorted)) (=> (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.bsecretioni X1))) (and (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.drugsu X1))) (not (tptp.bcapacityex X0))))))) (let ((_let_6 (forall ((X0 $$unsorted)) (=> (or (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.uptakelg X1))) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.uptakepg X1)))) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.drugi X1))))))) (let ((_let_7 (forall ((X0 $$unsorted)) (=> (tptp.drugi X0) (tptp.s3 X0))))) (let ((_let_8 (forall ((X0 $$unsorted)) (=> (tptp.drugsu X0) (or (and (tptp.s1 X0) (tptp.qillt27 X0)) (tptp.s2 X0) (tptp.s3 X0)))))) (let ((_let_9 (forall ((X0 $$unsorted)) (=> (tptp.drugbg X0) (or (and (tptp.s1 X0) (not (tptp.qilt27 X0))) (tptp.s2 X0) (tptp.s3 X0)))))) (let ((_let_10 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.qilt27 X0))) (let ((_let_2 (tptp.bcapacitysn X0))) (=> (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.conditionnormo X1))) (or (and (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.bsecretioni X1))) _let_2 _let_1 (forall ((X1 $$unsorted)) (=> (tptp.gt X0 X1) (tptp.conditionhyper X1)))) (and (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (not (tptp.releaselg X1)))) _let_2 (not _let_1) (forall ((X1 $$unsorted)) (=> (tptp.gt X0 X1) (tptp.conditionhyper X1)))) (and (or (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (not (tptp.releaselg X1)))) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.uptakepg X1)))) (tptp.bcapacityne X0) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.bsecretioni X1))) (forall ((X1 $$unsorted)) (=> (tptp.gt X0 X1) (tptp.conditionhyper X1)))) (and (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.uptakelg X1))) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.uptakepg X1))) (tptp.bcapacityex X0) (forall ((X1 $$unsorted)) (=> (tptp.gt X0 X1) (tptp.conditionhyper X1))))))))))) (let ((_let_11 (forall ((X0 $$unsorted)) (or (not (tptp.s0 X0)) (not (tptp.s3 X0)))))) (let ((_let_12 (forall ((X0 $$unsorted)) (or (not (tptp.s0 X0)) (not (tptp.s2 X0)))))) (let ((_let_13 (forall ((X0 $$unsorted)) (or (not (tptp.s0 X0)) (not (tptp.s1 X0)))))) (let ((_let_14 (forall ((X0 $$unsorted)) (or (not (tptp.bcapacityex X0)) (not (tptp.bcapacitysn X0)))))) (let ((_let_15 (forall ((X0 $$unsorted)) (or (not (tptp.bcapacityne X0)) (not (tptp.bcapacitysn X0)))))) (let ((_let_16 (forall ((X $$unsorted)) (not (tptp.gt X X))))) (let ((_let_17 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.conditionnormo X1))))) (let ((_let_18 (or (not (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61)) (tptp.conditionhyper SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61)))) (let ((_let_19 (tptp.bcapacityex tptp.n0))) (let ((_let_20 (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54))) (let ((_let_21 (and (or _let_20 (tptp.uptakelg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54)) (or _let_20 (tptp.uptakepg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54)) _let_19 _let_18))) (let ((_let_22 (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50))) (let ((_let_23 (tptp.bcapacityne tptp.n0))) (let ((_let_24 (and (or _let_22 (not (tptp.releaselg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50)) _let_22 (tptp.uptakepg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50)) _let_23 (or _let_20 (tptp.bsecretioni SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54)) (or (not _let_22) (tptp.conditionhyper SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50))))) (let ((_let_25 (tptp.qilt27 tptp.n0))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.bcapacitysn tptp.n0))) (let ((_let_28 (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55))) (let ((_let_29 (and (or _let_28 (not (tptp.releaselg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55))) _let_27 _let_26 _let_18))) (let ((_let_30 (or _let_22 (tptp.bsecretioni SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50)))) (let ((_let_31 (and _let_30 _let_27 _let_25 _let_18))) (let ((_let_32 (not _let_17))) (let ((_let_33 (or _let_32 _let_31 _let_29 _let_24 _let_21))) (let ((_let_34 (tptp.conditionnormo SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55))) (let ((_let_35 (or _let_28 _let_34))) (let ((_let_36 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (not (tptp.s1 X1)) (not (forall ((X2 $$unsorted)) (or (not (tptp.gt X1 X2)) (tptp.conditionhyper X2)))))))) (let ((_let_37 (not _let_36))) (let ((_let_38 (not _let_1))) (let ((_let_39 (or _let_38 _let_37 _let_28 _let_34))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (AND_ELIM (NOT_IMPLIES_ELIM1 _let_40) :args (0)))) (let ((_let_42 (forall ((X0 $$unsorted)) (or (tptp.gt tptp.n0 X0) (not (tptp.s1 X0)) (not (forall ((X1 $$unsorted)) (or (not (tptp.gt X0 X1)) (tptp.conditionhyper X1)))))))) (let ((_let_43 (forall ((X0 $$unsorted) (BOUND_VARIABLE_1724 $$unsorted)) (or (not (tptp.s0 X0)) (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (not (tptp.s1 X1)) (not (forall ((X2 $$unsorted)) (or (not (tptp.gt X1 X2)) (tptp.conditionhyper X2))))))) (tptp.gt X0 BOUND_VARIABLE_1724) (tptp.conditionnormo BOUND_VARIABLE_1724))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (or))) (let ((_let_46 (_let_32))) (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_32) _let_17))) (REFL :args ((not _let_35))) :args _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_37 _let_28 _let_34 (not _let_39)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.gt X0 BOUND_VARIABLE_1724) true))))) :args (_let_43))) _let_44 :args (_let_39 false _let_43)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_42 (= X0 X1) (= X1 X2)))) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_40)) :args (_let_36 false _let_42)) _let_41 (CNF_OR_NEG :args (_let_35 1)) (CNF_OR_NEG :args (_let_35 0)) :args (_let_35 false _let_39 false _let_36 false _let_1 true _let_34 true _let_28)) :args (_let_17 false _let_35)))) (let ((_let_48 (forall ((X0 $$unsorted) (BOUND_VARIABLE_1582 $$unsorted) (BOUND_VARIABLE_1577 $$unsorted) (BOUND_VARIABLE_1572 $$unsorted) (BOUND_VARIABLE_1565 $$unsorted) (BOUND_VARIABLE_1560 $$unsorted) (BOUND_VARIABLE_1548 $$unsorted) (BOUND_VARIABLE_1535 $$unsorted) (BOUND_VARIABLE_1554 $$unsorted) (BOUND_VARIABLE_1541 $$unsorted) (BOUND_VARIABLE_1528 $$unsorted) (BOUND_VARIABLE_1523 $$unsorted)) (let ((_let_1 (tptp.qilt27 X0))) (let ((_let_2 (tptp.bcapacitysn X0))) (or (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (tptp.conditionnormo X1)))) (and (or (tptp.gt X0 BOUND_VARIABLE_1523) (tptp.bsecretioni BOUND_VARIABLE_1523)) _let_2 _let_1 (or (not (tptp.gt X0 BOUND_VARIABLE_1528)) (tptp.conditionhyper BOUND_VARIABLE_1528))) (and (or (tptp.gt X0 BOUND_VARIABLE_1535) (not (tptp.releaselg BOUND_VARIABLE_1535))) _let_2 (not _let_1) (or (not (tptp.gt X0 BOUND_VARIABLE_1541)) (tptp.conditionhyper BOUND_VARIABLE_1541))) (and (or (tptp.gt X0 BOUND_VARIABLE_1548) (not (tptp.releaselg BOUND_VARIABLE_1548)) (tptp.gt X0 BOUND_VARIABLE_1554) (tptp.uptakepg BOUND_VARIABLE_1554)) (tptp.bcapacityne X0) (or (tptp.gt X0 BOUND_VARIABLE_1560) (tptp.bsecretioni BOUND_VARIABLE_1560)) (or (not (tptp.gt X0 BOUND_VARIABLE_1565)) (tptp.conditionhyper BOUND_VARIABLE_1565))) (and (or (tptp.gt X0 BOUND_VARIABLE_1572) (tptp.uptakelg BOUND_VARIABLE_1572)) (or (tptp.gt X0 BOUND_VARIABLE_1577) (tptp.uptakepg BOUND_VARIABLE_1577)) (tptp.bcapacityex X0) (or (not (tptp.gt X0 BOUND_VARIABLE_1582)) (tptp.conditionhyper BOUND_VARIABLE_1582))))))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_48))) (let ((_let_51 ((tptp.uptakelg BOUND_VARIABLE_1572) (tptp.bsecretioni BOUND_VARIABLE_1560) (tptp.gt X0 BOUND_VARIABLE_1554) (tptp.releaselg BOUND_VARIABLE_1535) (tptp.conditionhyper BOUND_VARIABLE_1541) (tptp.gt X0 BOUND_VARIABLE_1523) (tptp.conditionhyper BOUND_VARIABLE_1528) (tptp.gt X0 BOUND_VARIABLE_1565) (tptp.uptakepg BOUND_VARIABLE_1577) (tptp.gt X0 BOUND_VARIABLE_1548) (tptp.conditionhyper BOUND_VARIABLE_1582)))) (let ((_let_52 (not _let_21))) (let ((_let_53 (not _let_27))) (let ((_let_54 (not _let_19))) (let ((_let_55 (or _let_54 _let_53))) (let ((_let_56 (_let_14))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (tptp.n0 QUANTIFIERS_INST_ENUM))) (let ((_let_59 (or (not _let_28) (tptp.conditionhyper SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55)))) (let ((_let_60 (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47))) (let ((_let_61 (and (or _let_60 (tptp.bsecretioni SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47)) _let_27 _let_25 _let_59))) (let ((_let_62 (or (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48) (tptp.uptakelg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48)))) (let ((_let_63 (and _let_62 (or (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49) (tptp.uptakepg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_49)) _let_19 _let_59))) (let ((_let_64 (not (tptp.releaselg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47)))) (let ((_let_65 (and (or _let_60 _let_64 _let_60 (tptp.uptakepg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47)) _let_23 _let_30 (or (not _let_60) (tptp.conditionhyper SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47))))) (let ((_let_66 (tptp.gt tptp.n0 tptp.n0))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_60 _let_64))) (let ((_let_69 (and _let_68 _let_27 _let_26 (or _let_67 (tptp.conditionhyper tptp.n0))))) (let ((_let_70 (or _let_32 _let_61 _let_69 _let_65 _let_63))) (let ((_let_71 (not _let_63))) (let ((_let_72 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.uptakelg X1))))) (let ((_let_73 (not _let_62))) (let ((_let_74 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.uptakelg X1))))) (let ((_let_75 (not _let_72))) (let ((_let_76 (not _let_74))) (let ((_let_77 (and _let_76 (not (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.uptakepg X1))))))) (let ((_let_78 (tptp.drugi tptp.n0))) (let ((_let_79 (or _let_77 _let_66 _let_78))) (let ((_let_80 (forall ((X0 $$unsorted) (BOUND_VARIABLE_1645 $$unsorted)) (or (and (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (tptp.uptakelg X1)))) (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (tptp.uptakepg X1))))) (tptp.gt X0 BOUND_VARIABLE_1645) (tptp.drugi BOUND_VARIABLE_1645))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (tptp.n0 tptp.n0 QUANTIFIERS_INST_ENUM))) (let ((_let_83 (_let_16))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args _let_58) :args _let_83)) _let_84 :args (_let_67 false _let_16)))) (let ((_let_86 (tptp.s3 tptp.n0))) (let ((_let_87 (not _let_78))) (let ((_let_88 (or _let_87 _let_86))) (let ((_let_89 (forall ((X0 $$unsorted)) (or (not (tptp.drugi X0)) (tptp.s3 X0))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (not _let_86))) (let ((_let_92 (or _let_38 _let_91))) (let ((_let_93 (_let_11))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_38 _let_91 (not _let_92)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.s0 X0) false))))) :args _let_93)) _let_94 :args (_let_92 false _let_11)) :args (_let_91 false _let_1 false _let_92)))) (let ((_let_96 (_let_75))) (let ((_let_97 (not _let_65))) (let ((_let_98 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.bsecretioni X1))))) (let ((_let_99 (not _let_30))) (let ((_let_100 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.bsecretioni X1))))) (let ((_let_101 (not _let_98))) (let ((_let_102 (tptp.drugsu tptp.n0))) (let ((_let_103 (or _let_66 _let_102))) (let ((_let_104 (and _let_103 _let_54))) (let ((_let_105 (not _let_100))) (let ((_let_106 (or _let_105 _let_104))) (let ((_let_107 (forall ((X0 $$unsorted) (BOUND_VARIABLE_1670 $$unsorted)) (or (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (tptp.bsecretioni X1)))) (and (or (tptp.gt X0 BOUND_VARIABLE_1670) (tptp.drugsu BOUND_VARIABLE_1670)) (not (tptp.bcapacityex X0))))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (not _let_104))) (let ((_let_110 (not _let_103))) (let ((_let_111 (tptp.s2 tptp.n0))) (let ((_let_112 (tptp.s1 tptp.n0))) (let ((_let_113 (and _let_112 (tptp.qillt27 tptp.n0)))) (let ((_let_114 (not _let_102))) (let ((_let_115 (or _let_114 _let_113 _let_111 _let_86))) (let ((_let_116 (forall ((X0 $$unsorted)) (or (not (tptp.drugsu X0)) (and (tptp.s1 X0) (tptp.qillt27 X0)) (tptp.s2 X0) (tptp.s3 X0))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (not _let_113))) (let ((_let_119 (not _let_112))) (let ((_let_120 (or _let_38 _let_119))) (let ((_let_121 (_let_13))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_38 _let_119 (not _let_120)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.s0 X0) false))))) :args _let_121)) _let_122 :args (_let_120 false _let_13)) :args (_let_119 false _let_1 false _let_120)))) (let ((_let_124 (not _let_111))) (let ((_let_125 (or _let_38 _let_124))) (let ((_let_126 (_let_12))) (let ((_let_127 (ASSUME :args _let_126))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_38 _let_124 (not _let_125)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.s0 X0) false))))) :args _let_126)) _let_127 :args (_let_125 false _let_12)) :args (_let_124 false _let_1 false _let_125)))) (let ((_let_129 (_let_101))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_129)) :args _let_129)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_98))) (REFL :args (_let_99)) :args _let_45)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_98 (= X1 X1)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_105 _let_104 (not _let_106)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_104 0)) :args ((or _let_103 _let_109))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_102 _let_66 _let_110))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_111 _let_86 _let_114 _let_113 (not _let_115)))) _let_128 _let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_113 0)) :args ((or _let_112 _let_118))) _let_123 :args (_let_118 true 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(or _let_137 _let_66 _let_136))) (let ((_let_139 (forall ((X0 $$unsorted) (BOUND_VARIABLE_1689 $$unsorted)) (or (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (not (tptp.releaselg X1))))) (tptp.gt X0 BOUND_VARIABLE_1689) (tptp.drugbg BOUND_VARIABLE_1689))))) (let ((_let_140 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_141 (and _let_112 _let_26))) (let ((_let_142 (not _let_136))) (let ((_let_143 (or _let_142 _let_141 _let_111 _let_86))) (let ((_let_144 (forall ((X0 $$unsorted)) (or (not (tptp.drugbg X0)) (and (tptp.s1 X0) (not (tptp.qilt27 X0))) (tptp.s2 X0) (tptp.s3 X0))))) (let ((_let_145 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_146 (not _let_141))) (let ((_let_147 (_let_135))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_32 _let_61 _let_69 _let_65 _let_63 (not _let_70)))) _let_47 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SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_49 :args (_let_70 false _let_48)) :args (_let_61 false _let_17 true _let_69 true _let_65 true _let_63 false _let_70)))) (let ((_let_149 (not _let_61))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_61 1)) :args ((or _let_27 _let_149))) _let_148 :args (_let_27 false _let_61)))) (let ((_let_151 (not _let_31))) (let ((_let_152 (not _let_29))) (let ((_let_153 (not _let_24))) (let ((_let_154 (not _let_23))) (let ((_let_155 (or _let_154 _let_53))) (let ((_let_156 (_let_15))) (let ((_let_157 (ASSUME :args _let_156))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_31 _let_29 _let_24 _let_21 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_24 1)) :args ((or _let_23 _let_153))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_155)) :args ((or _let_154 _let_53 (not _let_155)))) _let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args _let_58) :args _let_156)) _let_157 :args (_let_155 false _let_15)) :args (_let_154 false _let_27 false _let_155)) :args (_let_153 true _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 2)) :args ((or _let_26 _let_152))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_61 2)) :args ((or _let_25 _let_149))) _let_148 :args (_let_25 false _let_61)) :args (_let_152 false _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_31 0)) :args ((or _let_30 _let_151))) _let_130 :args (_let_151 true _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_21 2)) :args ((or _let_19 _let_52))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_53 (not _let_55)))) _let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args _let_58) :args _let_56)) _let_57 :args (_let_55 false _let_14)) :args (_let_54 false _let_27 false _let_55)) :args (_let_52 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_50)) _let_49 :args (_let_33 false _let_48)) _let_47 :args (false true _let_24 true _let_29 true _let_31 true _let_21 false _let_33 false _let_17)) :args (_let_16 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.gt X Y) (tptp.gt Y Z)) (tptp.gt X Z))) (forall ((X0 $$unsorted)) (or (tptp.bcapacityne X0) (tptp.bcapacityex X0) (tptp.bcapacitysn X0))) (forall ((X0 $$unsorted)) (or (not (tptp.bcapacityne X0)) (not (tptp.bcapacityex X0)))) _let_15 _let_14 (forall ((X0 $$unsorted)) (or (tptp.conditionhyper X0) (tptp.conditionhypo X0) (tptp.conditionnormo X0))) (forall ((X0 $$unsorted)) (or (not (tptp.conditionhyper X0)) (not (tptp.conditionhypo X0)))) (forall ((X0 $$unsorted)) (or (not (tptp.conditionhyper X0)) (not (tptp.conditionnormo X0)))) (forall ((X0 $$unsorted)) (or (not (tptp.conditionhypo X0)) (not (tptp.conditionnormo X0)))) (forall ((X0 $$unsorted)) (=> (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.drugi X1))) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (and (tptp.uptakelg X1) (tptp.uptakepg X1)))))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (=> (tptp.uptakelg X1) (not (tptp.releaselg X1))))) (forall ((X0 $$unsorted)) (=> (and (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.drugsu X1))) (not (tptp.bcapacityex X0))) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.bsecretioni X1))))) (forall ((X0 $$unsorted)) (=> (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.drugbg X1))) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (not (tptp.releaselg X1)))))) (forall ((X0 $$unsorted)) (=> (and (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.bsecretioni X1))) (tptp.bcapacitysn X0) (tptp.qilt27 X0) (forall ((X1 $$unsorted)) (=> (tptp.gt X0 X1) (tptp.conditionhyper X1)))) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.conditionnormo X1))))) (forall ((X0 $$unsorted)) (=> (and (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (not (tptp.releaselg X1)))) (tptp.bcapacitysn X0) (not (tptp.qilt27 X0)) (forall ((X1 $$unsorted)) (=> (tptp.gt X0 X1) (tptp.conditionhyper X1)))) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.conditionnormo X1))))) (forall ((X0 $$unsorted)) (=> (and (or (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (not (tptp.releaselg X1)))) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.uptakepg X1)))) (tptp.bcapacityne X0) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.bsecretioni X1))) (forall ((X1 $$unsorted)) (=> (tptp.gt X0 X1) (tptp.conditionhyper X1)))) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.conditionnormo X1))))) (forall ((X0 $$unsorted)) (=> (and (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.uptakelg X1))) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.uptakepg X1))) (tptp.bcapacityex X0) (forall ((X1 $$unsorted)) (=> (tptp.gt X0 X1) (tptp.conditionhyper X1)))) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (or (tptp.conditionnormo X1) (tptp.conditionhypo X1)))))) (forall ((X0 $$unsorted)) (or (tptp.s0 X0) (tptp.s1 X0) (tptp.s2 X0) (tptp.s3 X0))) _let_13 _let_12 _let_11 (forall ((X0 $$unsorted)) (or (not (tptp.s1 X0)) (not (tptp.s2 X0)))) (forall ((X0 $$unsorted)) (or (not (tptp.s1 X0)) (not (tptp.s3 X0)))) (forall ((X0 $$unsorted)) (or (not (tptp.s2 X0)) (not (tptp.s3 X0)))) _let_10 (forall ((X0 $$unsorted)) (=> (and (tptp.s1 X0) (tptp.qilt27 X0)) (tptp.drugsu X0))) (forall ((X0 $$unsorted)) (=> (and (tptp.s1 X0) (not (tptp.qilt27 X0))) (tptp.drugbg X0))) (forall ((X0 $$unsorted)) (=> (tptp.s2 X0) (and (tptp.drugbg X0) (tptp.drugsu X0)))) (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.drugi X0))) (=> (tptp.s3 X0) (or (and _let_1 (or (tptp.drugsu X0) (tptp.drugbg X0))) _let_1)))) _let_9 _let_8 _let_7 _let_6 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (=> (not (tptp.releaselg X1)) (tptp.uptakelg X1)))) _let_5 _let_4 _let_3 (forall ((X0 $$unsorted)) (=> (and (tptp.s1 X0) (not (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.conditionnormo X1))))) (exists ((X1 $$unsorted)) (and (not (tptp.gt X0 X1)) (tptp.s2 X1) (forall ((X2 $$unsorted)) (=> (tptp.gt X1 X2) (tptp.conditionhyper X2))) (or (tptp.bcapacityne X1) (tptp.bcapacityex X1)))))) (forall ((X0 $$unsorted)) (=> (and (tptp.s2 X0) (not (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.conditionnormo X1))))) (exists ((X1 $$unsorted)) (and (not (tptp.gt X0 X1)) (tptp.s3 X1) (forall ((X2 $$unsorted)) (=> (tptp.gt X1 X2) (tptp.conditionhyper X2))) (tptp.bcapacityex X1))))) _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.65  )
% 0.22/0.65  % SZS output end Proof for MED005+1
% 0.22/0.65  % cvc5---1.0.5 exiting
% 0.22/0.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------