%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : MED002+1 : TPTP v8.1.2. Released v3.2.0.
% 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 09:06:00 EDT 2023

% Result   : Theorem 0.20s 0.55s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : MED002+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri Aug 25 07:52:42 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.55  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.lKq5bbIjCc/cvc5---1.0.5_29000.p...
% 0.20/0.55  ------- get file name : TPTP file name is MED002+1
% 0.20/0.55  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29000.smt2...
% 0.20/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.55  % SZS status Theorem for MED002+1
% 0.20/0.55  % SZS output start Proof for MED002+1
% 0.20/0.55  (
% 0.20/0.55  (let ((_let_1 (tptp.bcapacityne tptp.n0))) (let ((_let_2 (not (=> (and (forall ((X0 $$unsorted)) (=> (not (tptp.gt tptp.n0 X0)) (and (tptp.drugbg X0) (tptp.drugsu X0)))) (forall ((X0 $$unsorted)) (=> (tptp.gt tptp.n0 X0) (tptp.conditionhyper X0))) _let_1) (forall ((X0 $$unsorted)) (=> (not (tptp.gt tptp.n0 X0)) (tptp.conditionnormo X0))))))) (let ((_let_3 (forall ((X0 $$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 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.conditionnormo X1))))))) (let ((_let_4 (forall ((X0 $$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_5 (forall ((X0 $$unsorted)) (=> (and (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.drugsu X1))) (not (tptp.bcapacityex X0))) (forall ((X1 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.bsecretioni X1))))))) (let ((_let_6 (forall ((X0 $$unsorted)) (or (not (tptp.bcapacityne X0)) (not (tptp.bcapacityex X0)))))) (let ((_let_7 (forall ((X0 $$unsorted) (BOUND_VARIABLE_964 $$unsorted)) (or (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (tptp.drugbg X1)))) (tptp.gt X0 BOUND_VARIABLE_964) (not (tptp.releaselg BOUND_VARIABLE_964)))))) (let ((_let_8 (tptp.releaselg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_11 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.drugbg X1))))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_10 _let_9))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (or _let_10 _let_9))) (let ((_let_17 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (not (tptp.releaselg X1)))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (not (tptp.releaselg X1)))))) (let ((_let_20 (not _let_17))) (let ((_let_21 (not _let_19))) (let ((_let_22 (and _let_21 (not (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.uptakepg X1))))))) (let ((_let_23 (tptp.conditionnormo SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (forall ((X1 $$unsorted)) (or (not (tptp.gt tptp.n0 X1)) (tptp.conditionhyper X1))))) (let ((_let_26 (not _let_25))) (let ((_let_27 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.bsecretioni X1))))) (let ((_let_28 (not _let_27))) (let ((_let_29 (not _let_1))) (let ((_let_30 (or _let_22 _let_29 _let_28 _let_26 _let_24 _let_23))) (let ((_let_31 (forall ((X0 $$unsorted) (BOUND_VARIABLE_1059 $$unsorted)) (or (and (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (not (tptp.releaselg X1))))) (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (tptp.uptakepg X1))))) (not (tptp.bcapacityne X0)) (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (tptp.bsecretioni X1)))) (not (forall ((X1 $$unsorted)) (or (not (tptp.gt X0 X1)) (tptp.conditionhyper X1)))) (tptp.gt X0 BOUND_VARIABLE_1059) (tptp.conditionnormo BOUND_VARIABLE_1059))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (forall ((X0 $$unsorted)) (or (not (tptp.gt tptp.n0 X0)) (tptp.conditionhyper X0))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (NOT_IMPLIES_ELIM1 _let_34))) (let ((_let_36 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.bsecretioni X1))))) (let ((_let_37 (tptp.bsecretioni SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_38 (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_39 (or _let_38 _let_37))) (let ((_let_40 (tptp.bcapacityex tptp.n0))) (let ((_let_41 (forall ((X1 $$unsorted)) (or (tptp.gt tptp.n0 X1) (tptp.drugsu X1))))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40 _let_38 _let_37))) (let ((_let_44 (not _let_40))) (let ((_let_45 (or _let_29 _let_44))) (let ((_let_46 (_let_6))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (AND_ELIM _let_35 :args (2)))) (let ((_let_49 (tptp.drugsu SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_50 (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_51 (or _let_50 _let_49))) (let ((_let_52 (and (tptp.drugbg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) _let_49))) (let ((_let_53 (or _let_50 _let_52))) (let ((_let_54 (forall ((X0 $$unsorted)) (or (tptp.gt tptp.n0 X0) (and (tptp.drugbg X0) (tptp.drugsu X0)))))) (let ((_let_55 (AND_ELIM _let_35 :args (0)))) (let ((_let_56 (_let_54))) (let ((_let_57 ((not (= (tptp.gt tptp.n0 X0) true))))) (let ((_let_58 (ASSUME :args _let_56))) (let ((_let_59 (or))) (let ((_let_60 (_let_42))) (let ((_let_61 (forall ((X0 $$unsorted) (BOUND_VARIABLE_944 $$unsorted)) (or (not (forall ((X1 $$unsorted)) (or (tptp.gt X0 X1) (tptp.drugsu X1)))) (tptp.bcapacityex X0) (tptp.gt X0 BOUND_VARIABLE_944) (tptp.bsecretioni BOUND_VARIABLE_944))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (not _let_36))) (let ((_let_64 (_let_63))) (let ((_let_65 (or _let_24 _let_23))) (let ((_let_66 (forall ((X0 $$unsorted)) (or (tptp.gt tptp.n0 X0) (tptp.conditionnormo X0))))) (let ((_let_67 (not _let_65))) (let ((_let_68 (not _let_66))) (let ((_let_69 (_let_68))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_69)) :args _let_69)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_66))) (REFL :args (_let_67)) :args _let_59)) (NOT_IMPLIES_ELIM2 _let_34) :args (_let_67 true _let_66)))) (let ((_let_71 (_let_20))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_71)) :args _let_71)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_17))) (REFL :args (_let_18)) :args _let_59)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_17 (= X1 X1)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_21 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_24 _let_23 _let_22 _let_28 _let_26 (not _let_30)))) _let_48 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_65 0)) _let_70 :args ((not _let_24) true _let_65)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_65 1)) _let_70 :args ((not _let_23) true _let_65)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_36 (= X1 X1)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_64)) :args _let_64)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_36))) (REFL :args ((not _let_39))) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_40 _let_42 _let_38 _let_37 (not _let_43)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.gt X0 BOUND_VARIABLE_944) true))))) :args (_let_61))) _let_62 :args (_let_43 false _let_61)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_60)) :args _let_60)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) (REFL :args ((not _let_51))) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_52 1)) :args ((or _let_49 (not _let_52)))) (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_50 _let_52 (not _let_53)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_53 false _let_54)) (CNF_OR_NEG :args (_let_51 1)) (CNF_OR_NEG :args (_let_51 0)) :args (_let_51 false _let_52 false _let_53 true _let_49 true _let_50)) :args (_let_41 false _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_29 _let_44 (not _let_45)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.n0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.bcapacityne X0) false))))) :args _let_46)) _let_47 :args (_let_45 false _let_6)) :args (_let_44 false _let_1 false _let_45)) (CNF_OR_NEG :args (_let_39 1)) (CNF_OR_NEG :args (_let_39 0)) :args (_let_39 false _let_43 false _let_41 true _let_40 true _let_37 true _let_38)) :args (_let_36 false _let_39)) :args (_let_27 false _let_36)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_33 (= X0 X1)))) (AND_ELIM _let_35 :args (1)) :args (_let_25 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.gt X0 BOUND_VARIABLE_1059) true))))) :args (_let_31))) _let_32 :args (_let_30 false _let_31)) :args (_let_22 false _let_1 true _let_24 true _let_23 false _let_27 false _let_25 false _let_30)) :args (_let_21 false _let_22)) :args (_let_20 true _let_19)) :args (_let_18 true _let_17)))) (let ((_let_73 (tptp.drugbg SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_74 (tptp.gt tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_75 (or _let_74 _let_73))) (let ((_let_76 (and _let_73 (tptp.drugsu SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_77 (or _let_74 _let_76))) (let ((_let_78 (_let_12))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (tptp.n0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.gt X0 BOUND_VARIABLE_964) true))))) :args (_let_7))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_12 _let_10 _let_9 _let_15))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_78)) :args _let_78)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) (REFL :args ((not _let_75))) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_76 0)) :args ((or _let_73 (not _let_76)))) (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_74 _let_76 (not _let_77)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_57)) :args _let_56)) _let_55 :args (_let_77 false _let_54)) (CNF_OR_NEG :args (_let_75 1)) (CNF_OR_NEG :args (_let_75 0)) :args (_let_75 false _let_76 false _let_77 true _let_73 true _let_74)) :args (_let_11 false _let_75)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_16 0)) _let_72 :args ((not _let_10) true _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 1)) (CONG (REFL :args (_let_16)) (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_59)) :args ((or _let_8 _let_16))) _let_72 :args (_let_8 true _let_16)) :args (_let_15 false _let_11 true _let_10 false _let_8)) _let_14 :args (false true _let_13 false _let_7)) :args ((forall ((X $$unsorted)) (not (tptp.gt X X))) (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_6 (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 $$unsorted)) (=> (not (tptp.gt X0 X1)) (=> (tptp.uptakelg X1) (not (tptp.releaselg X1))))) _let_5 _let_4 (forall ((X0 $$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 $$unsorted)) (=> (not (tptp.gt X0 X1)) (tptp.conditionnormo X1))))) _let_3 (forall ((X0 $$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)))))) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55  )
% 0.20/0.55  % SZS output end Proof for MED002+1
% 0.20/0.55  % cvc5---1.0.5 exiting
% 0.20/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------