TSTP Solution File: MED009+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : MED009+1 : TPTP v8.1.2. Released v3.2.0.
% 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 09:06:02 EDT 2023
% Result : Theorem 0.92s 1.10s
% Output : Proof 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MED009+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 07:46:13 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.92/1.10 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.i21YMCnRV8/cvc5---1.0.5_27688.p...
% 0.92/1.10 ------- get file name : TPTP file name is MED009+1
% 0.92/1.10 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27688.smt2...
% 0.92/1.10 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.92/1.10 % SZS status Theorem for MED009+1
% 0.92/1.10 % SZS output start Proof for MED009+1
% 0.92/1.10 (
% 0.92/1.10 (let ((_let_1 (tptp.qilt27 tptp.n0))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.bcapacitysn tptp.n0))) (let ((_let_4 (tptp.s1 tptp.n0))) (let ((_let_5 (not (=> (and _let_4 (forall ((X0 $$unsorted)) (=> (tptp.gt tptp.n0 X0) (tptp.conditionhyper X0))) (not _let_3) _let_2) (exists ((X0 $$unsorted)) (and (not (tptp.gt tptp.n0 X0)) (tptp.s2 X0) (forall ((X1 $$unsorted)) (=> (tptp.gt X0 X1) (tptp.conditionhyper X1))) (or (tptp.bcapacityne X0) (tptp.bcapacityex X0)))))))) (let ((_let_6 (forall ((X0 $$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 $$unsorted)) (=> (tptp.gt X1 X2) (tptp.conditionhyper X2))) (or (tptp.bcapacityne X1) (tptp.bcapacityex X1)))))))) (let ((_let_7 (forall ((X0 $$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_8 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (=> (not (tptp.releaselg X1)) (tptp.uptakelg X1)))))) (let ((_let_9 (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_10 (forall ((X0 $$unsorted)) (=> (tptp.drugi X0) (tptp.s3 X0))))) (let ((_let_11 (forall ((X0 $$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_12 (forall ((X0 $$unsorted)) (or (not (tptp.s1 X0)) (not (tptp.s3 X0)))))) (let ((_let_13 (forall ((X0 $$unsorted)) (=> (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.drugbg X1))) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (not (tptp.releaselg X1)))))))) (let ((_let_14 (forall ((X0 $$unsorted)) (or (not (tptp.bcapacityne X0)) (not (tptp.bcapacityex X0)))))) (let ((_let_15 (forall ((X $$unsorted)) (not (tptp.gt X X))))) (let ((_let_16 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.conditionnormo X1))))) (let ((_let_17 (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56))) (let ((_let_18 (or (not _let_17) (tptp.conditionhyper SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56)))) (let ((_let_19 (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48))) (let ((_let_20 (or _let_19 (tptp.bsecretioni SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48)))) (let ((_let_21 (and _let_20 _let_3 _let_1 _let_18))) (let ((_let_22 (and (or _let_17 (not (tptp.releaselg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56))) _let_3 _let_2 _let_18))) (let ((_let_23 (tptp.bcapacityex tptp.n0))) (let ((_let_24 (and (or _let_19 (tptp.uptakelg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48)) (or _let_17 (tptp.uptakepg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56)) _let_23 _let_18))) (let ((_let_25 (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53))) (let ((_let_26 (tptp.bcapacityne tptp.n0))) (let ((_let_27 (tptp.uptakepg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48))) (let ((_let_28 (tptp.releaselg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52))) (let ((_let_31 (or _let_30 _let_29 _let_19 _let_27))) (let ((_let_32 (and _let_31 _let_26 _let_20 (or (not _let_25) (tptp.conditionhyper SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53))))) (let ((_let_33 (not _let_16))) (let ((_let_34 (or _let_33 _let_21 _let_22 _let_32 _let_24))) (let ((_let_35 (tptp.conditionnormo SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53))) (let ((_let_36 (or _let_25 _let_35))) (let ((_let_37 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (not (tptp.s2 X1)) (not (forall ((X2 $$unsorted)) (or (not (tptp.gt X1 X2)) (tptp.conditionhyper X2)))) (and (not (tptp.bcapacityne X1)) (not (tptp.bcapacityex X1))))))) (let ((_let_38 (not _let_37))) (let ((_let_39 (not _let_4))) (let ((_let_40 (or _let_39 _let_38 _let_25 _let_35))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (NOT_IMPLIES_ELIM1 _let_41))) (let ((_let_43 (AND_ELIM _let_42 :args (0)))) (let ((_let_44 (forall ((X0 $$unsorted)) (or (tptp.gt tptp.n0 X0) (not (tptp.s2 X0)) (not (forall ((X1 $$unsorted)) (or (not (tptp.gt X0 X1)) (tptp.conditionhyper X1)))) (and (not (tptp.bcapacityne X0)) (not (tptp.bcapacityex X0))))))) (let ((_let_45 (forall ((X0 $$unsorted) (BOUND_VARIABLE_1770 $$unsorted)) (or (not (tptp.s1 X0)) (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (not (tptp.s2 X1)) (not (forall ((X2 $$unsorted)) (or (not (tptp.gt X1 X2)) (tptp.conditionhyper X2)))) (and (not (tptp.bcapacityne X1)) (not (tptp.bcapacityex X1)))))) (tptp.gt X0 BOUND_VARIABLE_1770) (tptp.conditionnormo BOUND_VARIABLE_1770))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (or))) (let ((_let_48 (_let_33))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_48)) :args _let_48)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_16))) (REFL :args ((not _let_36))) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_38 _let_25 _let_35 (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.gt X0 BOUND_VARIABLE_1770) true))))) :args (_let_45))) _let_46 :args (_let_40 false _let_45)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_44 (= X0 X1) (= X1 X2)))) (NOT_NOT_ELIM (NOT_IMPLIES_ELIM2 _let_41)) :args (_let_37 false _let_44)) _let_43 (CNF_OR_NEG :args (_let_36 1)) (CNF_OR_NEG :args (_let_36 0)) :args (_let_36 false _let_40 false _let_37 false _let_4 true _let_35 true _let_25)) :args (_let_16 false _let_36)))) (let ((_let_50 (not _let_21))) (let ((_let_51 (AND_ELIM _let_42 :args (2)))) (let ((_let_52 (not _let_22))) (let ((_let_53 (forall ((X0 $$unsorted) (BOUND_VARIABLE_1589 $$unsorted) (BOUND_VARIABLE_1584 $$unsorted) (BOUND_VARIABLE_1579 $$unsorted) (BOUND_VARIABLE_1572 $$unsorted) (BOUND_VARIABLE_1567 $$unsorted) (BOUND_VARIABLE_1555 $$unsorted) (BOUND_VARIABLE_1542 $$unsorted) (BOUND_VARIABLE_1561 $$unsorted) (BOUND_VARIABLE_1548 $$unsorted) (BOUND_VARIABLE_1535 $$unsorted) (BOUND_VARIABLE_1530 $$unsorted)) (let ((_let_1 (tptp.qilt27 X0))) (let ((_let_2 (tptp.bcapacitysn X0))) (or (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (tptp.conditionnormo X1)))) (and (or (tptp.gt X0 BOUND_VARIABLE_1530) (tptp.bsecretioni BOUND_VARIABLE_1530)) _let_2 _let_1 (or (not (tptp.gt X0 BOUND_VARIABLE_1535)) (tptp.conditionhyper BOUND_VARIABLE_1535))) (and (or (tptp.gt X0 BOUND_VARIABLE_1542) (not (tptp.releaselg BOUND_VARIABLE_1542))) _let_2 (not _let_1) (or (not (tptp.gt X0 BOUND_VARIABLE_1548)) (tptp.conditionhyper BOUND_VARIABLE_1548))) (and (or (tptp.gt X0 BOUND_VARIABLE_1555) (not (tptp.releaselg BOUND_VARIABLE_1555)) (tptp.gt X0 BOUND_VARIABLE_1561) (tptp.uptakepg BOUND_VARIABLE_1561)) (tptp.bcapacityne X0) (or (tptp.gt X0 BOUND_VARIABLE_1567) (tptp.bsecretioni BOUND_VARIABLE_1567)) (or (not (tptp.gt X0 BOUND_VARIABLE_1572)) (tptp.conditionhyper BOUND_VARIABLE_1572))) (and (or (tptp.gt X0 BOUND_VARIABLE_1579) (tptp.uptakelg BOUND_VARIABLE_1579)) (or (tptp.gt X0 BOUND_VARIABLE_1584) (tptp.uptakepg BOUND_VARIABLE_1584)) (tptp.bcapacityex X0) (or (not (tptp.gt X0 BOUND_VARIABLE_1589)) (tptp.conditionhyper BOUND_VARIABLE_1589))))))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 (tptp.releaselg BOUND_VARIABLE_1542))) (let ((_let_57 (tptp.conditionhyper BOUND_VARIABLE_1535))) (let ((_let_58 (tptp.gt X0 BOUND_VARIABLE_1530))) (let ((_let_59 (tptp.conditionhyper BOUND_VARIABLE_1548))) (let ((_let_60 (tptp.conditionhyper BOUND_VARIABLE_1589))) (let ((_let_61 (tptp.uptakepg BOUND_VARIABLE_1584))) (let ((_let_62 (tptp.gt X0 BOUND_VARIABLE_1561))) (let ((_let_63 (not _let_24))) (let ((_let_64 (not _let_23))) (let ((_let_65 (not _let_26))) (let ((_let_66 (or _let_65 _let_64))) (let ((_let_67 (_let_14))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (tptp.n0 QUANTIFIERS_INST_ENUM))) (let ((_let_70 (tptp.gt tptp.n0 tptp.n0))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 (tptp.conditionhyper tptp.n0)))) (let ((_let_73 (or _let_70 (tptp.bsecretioni tptp.n0)))) (let ((_let_74 (not (tptp.releaselg tptp.n0)))) (let ((_let_75 (and (or _let_70 _let_74 _let_70 (tptp.uptakepg tptp.n0)) _let_26 _let_73 _let_72))) (let ((_let_76 (or _let_19 _let_27))) (let ((_let_77 (and (or _let_70 (tptp.uptakelg tptp.n0)) _let_76 _let_23 _let_72))) (let ((_let_78 (and (or _let_70 _let_74) _let_3 _let_2 _let_72))) (let ((_let_79 (and _let_73 _let_3 _let_1 _let_72))) (let ((_let_80 (or _let_33 _let_79 _let_78 _let_75 _let_77))) (let ((_let_81 (not _let_77))) (let ((_let_82 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.uptakepg X1))))) (let ((_let_83 (not _let_76))) (let ((_let_84 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.uptakepg X1))))) (let ((_let_85 (not _let_82))) (let ((_let_86 (not _let_84))) (let ((_let_87 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.uptakelg X1))))) (let ((_let_88 (not _let_87))) (let ((_let_89 (and _let_88 _let_86))) (let ((_let_90 (tptp.drugi tptp.n0))) (let ((_let_91 (or _let_89 _let_70 _let_90))) (let ((_let_92 (forall ((X0 $$unsorted) (BOUND_VARIABLE_1652 $$unsorted)) (or (and (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (tptp.uptakelg X1)))) (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (tptp.uptakepg X1))))) (tptp.gt X0 BOUND_VARIABLE_1652) (tptp.drugi BOUND_VARIABLE_1652))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (_let_15))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 (tptp.s3 tptp.n0))) (let ((_let_97 (not _let_90))) (let ((_let_98 (or _let_97 _let_96))) (let ((_let_99 (forall ((X0 $$unsorted)) (or (not (tptp.drugi X0)) (tptp.s3 X0))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (not _let_96))) (let ((_let_102 (or _let_39 _let_101))) (let ((_let_103 (_let_12))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_90 _let_70 _let_89 (not _let_91)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_96 _let_97 (not _let_98)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_39 _let_101 (not _let_102)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.s1 X0) false))))) :args _let_103)) _let_104 :args (_let_102 false _let_12)) :args (_let_101 false _let_4 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.s3 X0) true))))) :args (_let_99))) _let_100 :args (_let_98 false _let_99)) :args (_let_97 true _let_96 false _let_98)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args _let_69) :args _let_94)) _let_95 :args (_let_71 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.n0 tptp.n0 QUANTIFIERS_INST_ENUM)) :args (_let_92))) _let_93 :args (_let_91 false _let_92)) :args (_let_89 true _let_90 true _let_70 false _let_91)))) (let ((_let_106 (not _let_89))) (let ((_let_107 (_let_85))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_107)) :args _let_107)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_82))) (REFL :args (_let_83)) :args _let_47)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_82 (= X1 X1)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_89 1)) :args ((or _let_86 _let_106))) _let_105 :args (_let_86 false _let_89)) :args (_let_85 true _let_84)) :args (_let_83 true _let_82)))) (let ((_let_109 (not _let_78))) (let ((_let_110 (not _let_79))) (let ((_let_111 (not _let_32))) (let ((_let_112 (not _let_31))) (let ((_let_113 (or _let_30 _let_29))) (let ((_let_114 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (not (tptp.releaselg X1)))))) (let ((_let_115 (not _let_113))) (let ((_let_116 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (not (tptp.releaselg X1)))))) (let ((_let_117 (not _let_114))) (let ((_let_118 (tptp.drugbg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55))) (let ((_let_119 (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55))) (let ((_let_120 (not _let_116))) (let ((_let_121 (or _let_120 _let_119 _let_118))) (let ((_let_122 (forall ((X0 $$unsorted) (BOUND_VARIABLE_1696 $$unsorted)) (or (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (not (tptp.releaselg X1))))) (tptp.gt X0 BOUND_VARIABLE_1696) (tptp.drugbg BOUND_VARIABLE_1696))))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (or _let_119 _let_118))) (let ((_let_125 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.drugbg X1))))) (let ((_let_126 (not _let_124))) (let ((_let_127 (tptp.releaselg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47))) (let ((_let_128 (not _let_127))) (let ((_let_129 (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47))) (let ((_let_130 (not _let_125))) (let ((_let_131 (or _let_130 _let_129 _let_128))) (let ((_let_132 (forall ((X0 $$unsorted) (BOUND_VARIABLE_1353 $$unsorted)) (or (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (tptp.drugbg X1)))) (tptp.gt X0 BOUND_VARIABLE_1353) (not (tptp.releaselg BOUND_VARIABLE_1353)))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (tptp.uptakelg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47))) (let ((_let_135 (or _let_129 _let_127 _let_134))) (let ((_let_136 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (tptp.gt X0 X1) (tptp.releaselg X1) (tptp.uptakelg X1))))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (or _let_129 _let_134))) (let ((_let_139 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.uptakelg X1))))) (let ((_let_140 (not _let_138))) (let ((_let_141 (not _let_139))) (let ((_let_142 (_let_141))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_142)) :args _let_142)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_141) _let_139))) (REFL :args (_let_140)) :args _let_47)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_139 (= X1 X1)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_89 0)) :args ((or _let_88 _let_106))) _let_105 :args (_let_88 false _let_89)) :args (_let_141 true _let_87)) :args (_let_140 true _let_139)))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_138 0)) _let_143 :args ((not _let_129) true _let_138)))) (let ((_let_145 (_let_130))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_145)) :args _let_145)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_130) _let_125))) (REFL :args (_let_126)) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_130 _let_129 _let_128 (not _let_131)))) _let_144 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_129 _let_134 _let_127 (not _let_135)))) _let_144 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_138 1)) _let_143 :args ((not _let_134) true _let_138)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.gt X0 X1) true))))) :args (_let_136))) _let_137 :args (_let_135 false _let_136)) :args (_let_127 true _let_129 true _let_134 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_47 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.gt X0 BOUND_VARIABLE_1353) true))))) :args (_let_132))) _let_133 :args (_let_131 false _let_132)) :args (_let_130 true _let_129 false _let_127 false _let_131)) :args (_let_126 true _let_125)))) (let ((_let_147 (_let_117))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_147)) :args _let_147)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_114))) (REFL :args (_let_115)) :args _let_47)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_114 (= X1 X1)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_120 _let_119 _let_118 (not _let_121)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_124 0)) _let_146 :args ((not _let_119) true _let_124)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_124 1)) _let_146 :args ((not _let_118) true _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_55 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.gt X0 BOUND_VARIABLE_1696) true))))) :args (_let_122))) _let_123 :args (_let_121 false _let_122)) :args (_let_120 true _let_119 true _let_118 false _let_121)) :args (_let_117 true _let_116)) :args (_let_115 true _let_114)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_21 _let_22 _let_32 _let_24 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_32 0)) :args ((or _let_31 _let_111))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_19 _let_27 _let_30 _let_29 _let_112))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_76 0)) _let_108 :args ((not _let_19) true _let_76)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_76 1)) _let_108 :args ((not _let_27) true _let_76)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_113 0)) _let_148 :args ((not _let_30) true _let_113)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_113 1)) (CONG (REFL :args (_let_113)) (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_47)) :args ((or _let_28 _let_113))) _let_148 :args (_let_28 true _let_113)) :args (_let_112 true _let_19 true _let_27 true _let_30 false _let_28)) :args (_let_111 true _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_24 2)) :args ((or _let_23 _let_63))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_64 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_75 1)) :args ((or _let_26 (not _let_75)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_33 _let_79 _let_78 _let_75 _let_77 (not _let_80)))) _let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_79 1)) :args ((or _let_3 _let_110))) _let_51 :args (_let_110 true _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_78 1)) :args ((or _let_3 _let_109))) _let_51 :args (_let_109 true _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_77 1)) :args ((or _let_76 _let_81))) _let_108 :args (_let_81 true _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.n0 tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 tptp.n0 tptp.n0 tptp.n0 tptp.n0 tptp.n0 tptp.n0 tptp.n0 tptp.n0 tptp.n0 QUANTIFIERS_INST_E_MATCHING ((tptp.uptakelg BOUND_VARIABLE_1579) (tptp.bsecretioni BOUND_VARIABLE_1567) _let_62 _let_56 _let_59 _let_58 _let_57 (tptp.gt X0 BOUND_VARIABLE_1572) _let_61 (tptp.gt X0 BOUND_VARIABLE_1555) _let_60))) :args _let_55)) _let_54 :args (_let_80 false _let_53)) :args (_let_75 false _let_16 true _let_79 true _let_78 true _let_77 false _let_80)) :args (_let_26 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args _let_69) :args _let_67)) _let_68 :args (_let_66 false _let_14)) :args (_let_64 false _let_26 false _let_66)) :args (_let_63 true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_48 QUANTIFIERS_INST_E_MATCHING (_let_62 _let_61 _let_60 (tptp.conditionhyper BOUND_VARIABLE_1572) _let_59 _let_58 (tptp.gt X0 BOUND_VARIABLE_1579) _let_57 (tptp.gt X0 BOUND_VARIABLE_1567) _let_56 (tptp.releaselg BOUND_VARIABLE_1555)))) :args _let_55)) _let_54 :args (_let_34 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 1)) :args ((or _let_3 _let_52))) _let_51 :args (_let_52 true _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_21 1)) :args ((or _let_3 _let_50))) _let_51 :args (_let_50 true _let_3)) _let_49 :args (false true _let_32 true _let_24 false _let_34 true _let_22 true _let_21 false _let_16)) :args (_let_15 (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))) _let_14 (forall ((X0 $$unsorted)) (or (not (tptp.bcapacityne X0)) (not (tptp.bcapacitysn X0)))) (forall ((X0 $$unsorted)) (or (not (tptp.bcapacityex X0)) (not (tptp.bcapacitysn X0)))) (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))))) _let_13 (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))) (forall ((X0 $$unsorted)) (or (not (tptp.s0 X0)) (not (tptp.s1 X0)))) (forall ((X0 $$unsorted)) (or (not (tptp.s0 X0)) (not (tptp.s2 X0)))) (forall ((X0 $$unsorted)) (or (not (tptp.s0 X0)) (not (tptp.s3 X0)))) (forall ((X0 $$unsorted)) (or (not (tptp.s1 X0)) (not (tptp.s2 X0)))) _let_12 (forall ((X0 $$unsorted)) (or (not (tptp.s2 X0)) (not (tptp.s3 X0)))) _let_11 (forall ((X0 $$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 $$unsorted)) (let ((_let_1 (tptp.drugi X0))) (=> (tptp.s3 X0) (or (and _let_1 (or (tptp.drugsu X0) (tptp.drugbg X0))) _let_1)))) (forall ((X0 $$unsorted)) (=> (tptp.drugbg X0) (or (and (tptp.s1 X0) (not (tptp.qilt27 X0))) (tptp.s2 X0) (tptp.s3 X0)))) (forall ((X0 $$unsorted)) (=> (tptp.drugsu X0) (or (and (tptp.s1 X0) (tptp.qillt27 X0)) (tptp.s2 X0) (tptp.s3 X0)))) _let_10 _let_9 _let_8 (forall ((X0 $$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_7 (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_6 (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_5 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.92/1.11 )
% 0.92/1.11 % SZS output end Proof for MED009+1
% 0.92/1.11 % cvc5---1.0.5 exiting
% 0.92/1.11 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------