%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MED001+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.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 : Sat Jun 21 05:17:09 AM UTC 2025
% Result : Theorem 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : MED001+1 : TPTP v9.0.0. Released v3.2.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n009.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 : Thu Jun 19 23:27:33 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.38 % SZS status Theorem
% 0.20/0.38 % SZS output start Proof
% 0.20/0.38 tff(bsecretioni_type, type, (
% 0.20/0.38 bsecretioni: $i > $o)).
% 0.20/0.38 tff(tptp_fun_X1_3_type, type, (
% 0.20/0.38 tptp_fun_X1_3: $i > $i)).
% 0.20/0.38 tff(n0_type, type, (
% 0.20/0.38 n0: $i)).
% 0.20/0.38 tff(gt_type, type, (
% 0.20/0.38 gt: ( $i * $i ) > $o)).
% 0.20/0.38 tff(tptp_fun_X1_4_type, type, (
% 0.20/0.38 tptp_fun_X1_4: $i > $i)).
% 0.20/0.38 tff(conditionhyper_type, type, (
% 0.20/0.38 conditionhyper: $i > $o)).
% 0.20/0.38 tff(qilt27_type, type, (
% 0.20/0.38 qilt27: $i > $o)).
% 0.20/0.38 tff(bcapacitysn_type, type, (
% 0.20/0.38 bcapacitysn: $i > $o)).
% 0.20/0.38 tff(drugsu_type, type, (
% 0.20/0.38 drugsu: $i > $o)).
% 0.20/0.38 tff(conditionnormo_type, type, (
% 0.20/0.38 conditionnormo: $i > $o)).
% 0.20/0.38 tff(tptp_fun_X0_8_type, type, (
% 0.20/0.38 tptp_fun_X0_8: $i)).
% 0.20/0.38 tff(tptp_fun_X1_1_type, type, (
% 0.20/0.38 tptp_fun_X1_1: $i > $i)).
% 0.20/0.38 tff(bcapacityex_type, type, (
% 0.20/0.38 bcapacityex: $i > $o)).
% 0.20/0.38 tff(1,assumption,(~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))), introduced(assumption)).
% 0.20/0.38 tff(2,plain,
% 0.20/0.38 ((conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0)))) | gt(n0, tptp_fun_X1_4(n0))),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(3,plain,
% 0.20/0.38 (gt(n0, tptp_fun_X1_4(n0))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[2, 1])).
% 0.20/0.38 tff(4,plain,
% 0.20/0.38 ((conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0)))) | (~conditionhyper(tptp_fun_X1_4(n0)))),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(5,plain,
% 0.20/0.38 (~conditionhyper(tptp_fun_X1_4(n0))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.20/0.38 tff(6,plain,
% 0.20/0.38 (^[X0: $i] : refl((conditionhyper(X0) | (~gt(n0, X0))) <=> (conditionhyper(X0) | (~gt(n0, X0))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(7,plain,
% 0.20/0.38 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) <=> ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[6])).
% 0.20/0.38 tff(8,plain,
% 0.20/0.38 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) <=> ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(9,plain,
% 0.20/0.38 ((~((((![X0: $i] : ((~gt(n0, X0)) => drugsu(X0)) & ![X0: $i] : (gt(n0, X0) => conditionhyper(X0))) & bcapacitysn(n0)) & qilt27(n0)) => ![X0: $i] : ((~gt(n0, X0)) => conditionnormo(X0)))) <=> (~((~(![X0: $i] : (drugsu(X0) | gt(n0, X0)) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & bcapacitysn(n0) & qilt27(n0))) | ![X0: $i] : (conditionnormo(X0) | gt(n0, X0))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(10,axiom,(~((((![X0: $i] : ((~gt(n0, X0)) => drugsu(X0)) & ![X0: $i] : (gt(n0, X0) => conditionhyper(X0))) & bcapacitysn(n0)) & qilt27(n0)) => ![X0: $i] : ((~gt(n0, X0)) => conditionnormo(X0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','treatmentsn2')).
% 0.20/0.38 tff(11,plain,
% 0.20/0.38 (~((~(![X0: $i] : (drugsu(X0) | gt(n0, X0)) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & bcapacitysn(n0) & qilt27(n0))) | ![X0: $i] : (conditionnormo(X0) | gt(n0, X0)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.20/0.38 tff(12,plain,
% 0.20/0.38 (![X0: $i] : (drugsu(X0) | gt(n0, X0)) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & bcapacitysn(n0) & qilt27(n0)),
% 0.20/0.38 inference(or_elim,[status(thm)],[11])).
% 0.20/0.38 tff(13,plain,
% 0.20/0.38 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.20/0.38 inference(and_elim,[status(thm)],[12])).
% 0.20/0.38 tff(14,plain,
% 0.20/0.38 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[13, 8])).
% 0.20/0.38 tff(15,plain,(
% 0.20/0.38 ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.20/0.38 inference(skolemize,[status(sab)],[14])).
% 0.20/0.38 tff(16,plain,
% 0.20/0.38 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[15, 7])).
% 0.20/0.38 tff(17,plain,
% 0.20/0.38 (((~![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))) | (conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) <=> ((~![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))) | conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(18,plain,
% 0.20/0.38 ((~![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))) | (conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(19,plain,
% 0.20/0.38 ((~![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))) | conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.20/0.38 tff(20,plain,
% 0.20/0.38 ($false),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[19, 16, 5, 3])).
% 0.20/0.38 tff(21,plain,(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0)))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.38 tff(22,assumption,(![X1: $i] : (conditionnormo(X1) | gt(n0, X1))), introduced(assumption)).
% 0.20/0.38 tff(23,plain,
% 0.20/0.38 ((~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))) <=> (~![X0: $i] : (conditionnormo(X0) | gt(n0, X0)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(24,plain,
% 0.20/0.38 (~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 0.20/0.38 inference(or_elim,[status(thm)],[11])).
% 0.20/0.38 tff(25,plain,
% 0.20/0.38 (~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.20/0.38 tff(26,plain,
% 0.20/0.38 (~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[25, 23])).
% 0.20/0.38 tff(27,plain,
% 0.20/0.38 (~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[26, 23])).
% 0.20/0.38 tff(28,plain,(
% 0.20/0.38 ~(conditionnormo(X0!8) | gt(n0, X0!8))),
% 0.20/0.38 inference(skolemize,[status(sab)],[27])).
% 0.20/0.38 tff(29,plain,
% 0.20/0.38 (~gt(n0, X0!8)),
% 0.20/0.38 inference(or_elim,[status(thm)],[28])).
% 0.20/0.38 tff(30,plain,
% 0.20/0.38 (~conditionnormo(X0!8)),
% 0.20/0.38 inference(or_elim,[status(thm)],[28])).
% 0.20/0.38 tff(31,plain,
% 0.20/0.38 (((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | (conditionnormo(X0!8) | gt(n0, X0!8))) <=> ((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | conditionnormo(X0!8) | gt(n0, X0!8))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(32,plain,
% 0.20/0.38 ((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | (conditionnormo(X0!8) | gt(n0, X0!8))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(33,plain,
% 0.20/0.38 ((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | conditionnormo(X0!8) | gt(n0, X0!8)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.20/0.38 tff(34,plain,
% 0.20/0.38 ($false),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[33, 30, 29, 22])).
% 0.20/0.38 tff(35,plain,(~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.38 tff(36,plain,
% 0.20/0.38 (qilt27(n0) <=> qilt27(n0)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(37,plain,
% 0.20/0.38 (qilt27(n0)),
% 0.20/0.38 inference(and_elim,[status(thm)],[12])).
% 0.20/0.38 tff(38,plain,
% 0.20/0.38 (qilt27(n0)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.20/0.38 tff(39,plain,
% 0.20/0.38 (bcapacitysn(n0) <=> bcapacitysn(n0)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(40,plain,
% 0.20/0.38 (bcapacitysn(n0)),
% 0.20/0.38 inference(and_elim,[status(thm)],[12])).
% 0.20/0.38 tff(41,plain,
% 0.20/0.38 (bcapacitysn(n0)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.20/0.38 tff(42,plain,
% 0.20/0.38 (^[X0: $i] : trans(monotonicity(rewrite((~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) <=> (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))), (((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0))))) <=> ((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0))))))), rewrite(((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0))))) <=> ((~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))), (((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0))))) <=> ((~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(43,plain,
% 0.20/0.38 (![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0))))) <=> ![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[42])).
% 0.20/0.38 tff(44,plain,
% 0.20/0.38 (^[X0: $i] : refl(((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0))))) <=> ((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0))))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(45,plain,
% 0.20/0.38 (![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0))))) <=> ![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[44])).
% 0.20/0.38 tff(46,plain,
% 0.20/0.38 (^[X0: $i] : rewrite(((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0))))) <=> ((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0))))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(47,plain,
% 0.20/0.38 (![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0))))) <=> ![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[46])).
% 0.20/0.38 tff(48,plain,
% 0.20/0.38 (![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0))))) <=> ![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))))),
% 0.20/0.38 inference(transitivity,[status(thm)],[47, 45])).
% 0.20/0.38 tff(49,plain,
% 0.20/0.38 (^[X0: $i] : trans(monotonicity(trans(monotonicity(rewrite((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) <=> (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0))))), rewrite((~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) <=> (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))), (((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) <=> ((~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))) | (~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))))), rewrite(((~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))) | (~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) <=> ((~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))))), (((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) <=> ((~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0))))))), ((((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) <=> (((~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))), rewrite((((~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) <=> ((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))))), ((((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) <=> ((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(50,plain,
% 0.20/0.39 (![X0: $i] : (((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) <=> ![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[49])).
% 0.20/0.39 tff(51,plain,
% 0.20/0.39 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) <=> ![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(52,plain,
% 0.20/0.39 (^[X0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)) & bcapacitysn(X0)) <=> (![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0))), (((![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)) & bcapacitysn(X0)) & qilt27(X0)) <=> ((![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0)) & qilt27(X0)))), rewrite(((![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0)) & qilt27(X0)) <=> (![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0))), (((![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)) & bcapacitysn(X0)) & qilt27(X0)) <=> (![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0)))), quant_intro(proof_bind(^[X1: $i] : rewrite((gt(X0, X1) => conditionhyper(X1)) <=> ((~gt(X0, X1)) | conditionhyper(X1)))), (![X1: $i] : (gt(X0, X1) => conditionhyper(X1)) <=> ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))), ((((![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)) & bcapacitysn(X0)) & qilt27(X0)) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1))) <=> ((![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))), rewrite(((![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) <=> (![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))), ((((![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)) & bcapacitysn(X0)) & qilt27(X0)) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1))) <=> (![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))), quant_intro(proof_bind(^[X1: $i] : rewrite(((~gt(X0, X1)) => conditionnormo(X1)) <=> (gt(X0, X1) | conditionnormo(X1)))), (![X1: $i] : ((~gt(X0, X1)) => conditionnormo(X1)) <=> ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))), (((((![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)) & bcapacitysn(X0)) & qilt27(X0)) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1))) => ![X1: $i] : ((~gt(X0, X1)) => conditionnormo(X1))) <=> ((![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) => ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))), rewrite(((![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) => ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) <=> ((~(![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))), (((((![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)) & bcapacitysn(X0)) & qilt27(X0)) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1))) => ![X1: $i] : ((~gt(X0, X1)) => conditionnormo(X1))) <=> ((~(![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(53,plain,
% 0.20/0.39 (![X0: $i] : ((((![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)) & bcapacitysn(X0)) & qilt27(X0)) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1))) => ![X1: $i] : ((~gt(X0, X1)) => conditionnormo(X1))) <=> ![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[52])).
% 0.20/0.39 tff(54,axiom,(![X0: $i] : ((((![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)) & bcapacitysn(X0)) & qilt27(X0)) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1))) => ![X1: $i] : ((~gt(X0, X1)) => conditionnormo(X1)))), file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax','sn_cure_1')).
% 0.20/0.39 tff(55,plain,
% 0.20/0.39 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.20/0.39 tff(56,plain,
% 0.20/0.39 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[55, 51])).
% 0.20/0.39 tff(57,plain,(
% 0.20/0.39 ![X0: $i] : (((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))),
% 0.20/0.39 inference(skolemize,[status(sab)],[56])).
% 0.20/0.39 tff(58,plain,
% 0.20/0.39 (![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[57, 50])).
% 0.20/0.39 tff(59,plain,
% 0.20/0.39 (![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[58, 48])).
% 0.20/0.39 tff(60,plain,
% 0.20/0.39 (![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[59, 43])).
% 0.20/0.39 tff(61,plain,
% 0.20/0.39 (((~![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) | ((~(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) | (~qilt27(n0)) | (~bcapacitysn(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))) <=> ((~![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) | (~(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) | (~qilt27(n0)) | (~bcapacitysn(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(62,plain,
% 0.20/0.39 (((~bcapacitysn(n0)) | (~qilt27(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | (~(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) <=> ((~(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) | (~qilt27(n0)) | (~bcapacitysn(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(63,plain,
% 0.20/0.39 (^[X1: $i] : rewrite((gt(n0, X1) | conditionnormo(X1)) <=> (conditionnormo(X1) | gt(n0, X1)))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(64,plain,
% 0.20/0.39 (![X1: $i] : (gt(n0, X1) | conditionnormo(X1)) <=> ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[63])).
% 0.20/0.39 tff(65,plain,
% 0.20/0.39 ((~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) <=> (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0)))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(66,plain,
% 0.20/0.39 (((~bcapacitysn(n0)) | (~qilt27(n0)) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1))) <=> ((~bcapacitysn(n0)) | (~qilt27(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | (~(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[65, 64])).
% 0.20/0.39 tff(67,plain,
% 0.20/0.39 (((~bcapacitysn(n0)) | (~qilt27(n0)) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1))) <=> ((~(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) | (~qilt27(n0)) | (~bcapacitysn(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))),
% 0.20/0.39 inference(transitivity,[status(thm)],[66, 62])).
% 0.20/0.39 tff(68,plain,
% 0.20/0.39 (((~![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) | ((~bcapacitysn(n0)) | (~qilt27(n0)) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1)))) <=> ((~![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) | ((~(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) | (~qilt27(n0)) | (~bcapacitysn(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[67])).
% 0.20/0.39 tff(69,plain,
% 0.20/0.39 (((~![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) | ((~bcapacitysn(n0)) | (~qilt27(n0)) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1)))) <=> ((~![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) | (~(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) | (~qilt27(n0)) | (~bcapacitysn(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))),
% 0.20/0.39 inference(transitivity,[status(thm)],[68, 61])).
% 0.20/0.39 tff(70,plain,
% 0.20/0.39 ((~![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) | ((~bcapacitysn(n0)) | (~qilt27(n0)) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1)))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(71,plain,
% 0.20/0.39 ((~![X0: $i] : ((~bcapacitysn(X0)) | (~qilt27(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bsecretioni(tptp_fun_X1_3(X0)) | gt(X0, tptp_fun_X1_3(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) | (~(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) | (~qilt27(n0)) | (~bcapacitysn(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.20/0.39 tff(72,plain,
% 0.20/0.39 ((~(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[71, 60, 41, 38])).
% 0.20/0.39 tff(73,plain,
% 0.20/0.39 (~(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[72, 35, 21])).
% 0.20/0.39 tff(74,plain,
% 0.20/0.39 ((bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0))) | (~bsecretioni(tptp_fun_X1_3(n0)))),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.39 tff(75,plain,
% 0.20/0.39 (~bsecretioni(tptp_fun_X1_3(n0))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[74, 73])).
% 0.20/0.39 tff(76,plain,
% 0.20/0.39 ((bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0))) | (~gt(n0, tptp_fun_X1_3(n0)))),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.39 tff(77,plain,
% 0.20/0.39 (~gt(n0, tptp_fun_X1_3(n0))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[76, 73])).
% 0.20/0.39 tff(78,assumption,(~(drugsu(tptp_fun_X1_1(n0)) | gt(n0, tptp_fun_X1_1(n0)))), introduced(assumption)).
% 0.20/0.39 tff(79,plain,
% 0.20/0.39 ((drugsu(tptp_fun_X1_1(n0)) | gt(n0, tptp_fun_X1_1(n0))) | (~gt(n0, tptp_fun_X1_1(n0)))),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.39 tff(80,plain,
% 0.20/0.39 (~gt(n0, tptp_fun_X1_1(n0))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[79, 78])).
% 0.20/0.39 tff(81,plain,
% 0.20/0.39 ((drugsu(tptp_fun_X1_1(n0)) | gt(n0, tptp_fun_X1_1(n0))) | (~drugsu(tptp_fun_X1_1(n0)))),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(82,plain,
% 0.20/0.40 (~drugsu(tptp_fun_X1_1(n0))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[81, 78])).
% 0.20/0.40 tff(83,plain,
% 0.20/0.40 (^[X0: $i] : refl((drugsu(X0) | gt(n0, X0)) <=> (drugsu(X0) | gt(n0, X0)))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(84,plain,
% 0.20/0.40 (![X0: $i] : (drugsu(X0) | gt(n0, X0)) <=> ![X0: $i] : (drugsu(X0) | gt(n0, X0))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[83])).
% 0.20/0.40 tff(85,plain,
% 0.20/0.40 (![X0: $i] : (drugsu(X0) | gt(n0, X0)) <=> ![X0: $i] : (drugsu(X0) | gt(n0, X0))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(86,plain,
% 0.20/0.40 (![X0: $i] : (drugsu(X0) | gt(n0, X0))),
% 0.20/0.40 inference(and_elim,[status(thm)],[12])).
% 0.20/0.40 tff(87,plain,
% 0.20/0.40 (![X0: $i] : (drugsu(X0) | gt(n0, X0))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.20/0.40 tff(88,plain,(
% 0.20/0.40 ![X0: $i] : (drugsu(X0) | gt(n0, X0))),
% 0.20/0.40 inference(skolemize,[status(sab)],[87])).
% 0.20/0.40 tff(89,plain,
% 0.20/0.40 (![X0: $i] : (drugsu(X0) | gt(n0, X0))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[88, 84])).
% 0.20/0.40 tff(90,plain,
% 0.20/0.40 (((~![X0: $i] : (drugsu(X0) | gt(n0, X0))) | (drugsu(tptp_fun_X1_1(n0)) | gt(n0, tptp_fun_X1_1(n0)))) <=> ((~![X0: $i] : (drugsu(X0) | gt(n0, X0))) | drugsu(tptp_fun_X1_1(n0)) | gt(n0, tptp_fun_X1_1(n0)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(91,plain,
% 0.20/0.40 ((~![X0: $i] : (drugsu(X0) | gt(n0, X0))) | (drugsu(tptp_fun_X1_1(n0)) | gt(n0, tptp_fun_X1_1(n0)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(92,plain,
% 0.20/0.40 ((~![X0: $i] : (drugsu(X0) | gt(n0, X0))) | drugsu(tptp_fun_X1_1(n0)) | gt(n0, tptp_fun_X1_1(n0))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.20/0.40 tff(93,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[92, 89, 82, 80])).
% 0.20/0.40 tff(94,plain,(drugsu(tptp_fun_X1_1(n0)) | gt(n0, tptp_fun_X1_1(n0))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(95,plain,
% 0.20/0.40 (^[X0: $i] : refl(((~bcapacityex(X0)) | (~bcapacitysn(X0))) <=> ((~bcapacityex(X0)) | (~bcapacitysn(X0))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(96,plain,
% 0.20/0.40 (![X0: $i] : ((~bcapacityex(X0)) | (~bcapacitysn(X0))) <=> ![X0: $i] : ((~bcapacityex(X0)) | (~bcapacitysn(X0)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[95])).
% 0.20/0.40 tff(97,plain,
% 0.20/0.40 (![X0: $i] : ((~bcapacityex(X0)) | (~bcapacitysn(X0))) <=> ![X0: $i] : ((~bcapacityex(X0)) | (~bcapacitysn(X0)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(98,axiom,(![X0: $i] : ((~bcapacityex(X0)) | (~bcapacitysn(X0)))), file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax','xorcapacity4')).
% 0.20/0.40 tff(99,plain,
% 0.20/0.40 (![X0: $i] : ((~bcapacityex(X0)) | (~bcapacitysn(X0)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.20/0.40 tff(100,plain,(
% 0.20/0.40 ![X0: $i] : ((~bcapacityex(X0)) | (~bcapacitysn(X0)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[99])).
% 0.20/0.40 tff(101,plain,
% 0.20/0.40 (![X0: $i] : ((~bcapacityex(X0)) | (~bcapacitysn(X0)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[100, 96])).
% 0.20/0.40 tff(102,plain,
% 0.20/0.40 (((~![X0: $i] : ((~bcapacityex(X0)) | (~bcapacitysn(X0)))) | ((~bcapacityex(n0)) | (~bcapacitysn(n0)))) <=> ((~![X0: $i] : ((~bcapacityex(X0)) | (~bcapacitysn(X0)))) | (~bcapacityex(n0)) | (~bcapacitysn(n0)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(103,plain,
% 0.20/0.40 ((~![X0: $i] : ((~bcapacityex(X0)) | (~bcapacitysn(X0)))) | ((~bcapacityex(n0)) | (~bcapacitysn(n0)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(104,plain,
% 0.20/0.40 ((~![X0: $i] : ((~bcapacityex(X0)) | (~bcapacitysn(X0)))) | (~bcapacityex(n0)) | (~bcapacitysn(n0))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.20/0.40 tff(105,plain,
% 0.20/0.40 (~bcapacityex(n0)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[104, 101, 41])).
% 0.20/0.40 tff(106,plain,
% 0.20/0.40 (^[X0: $i] : trans(monotonicity(rewrite((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) <=> (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))), ((bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))))), rewrite((bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))), ((bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(107,plain,
% 0.20/0.40 (![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> ![X0: $i] : (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[106])).
% 0.20/0.40 tff(108,plain,
% 0.20/0.40 (^[X0: $i] : refl((bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(109,plain,
% 0.20/0.40 (![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> ![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[108])).
% 0.20/0.40 tff(110,plain,
% 0.20/0.40 (^[X0: $i] : rewrite((bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(111,plain,
% 0.20/0.40 (![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> ![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[110])).
% 0.20/0.40 tff(112,plain,
% 0.20/0.40 (![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> ![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))),
% 0.20/0.40 inference(transitivity,[status(thm)],[111, 109])).
% 0.20/0.40 tff(113,plain,
% 0.20/0.40 (^[X0: $i] : trans(monotonicity(trans(monotonicity(rewrite((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) <=> (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))), (((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | bcapacityex(X0)) <=> ((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | bcapacityex(X0)))), rewrite(((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | bcapacityex(X0)) <=> (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))), (((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | bcapacityex(X0)) <=> (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))))), ((((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) <=> ((bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))))), rewrite(((bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) <=> (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))), ((((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) <=> (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(114,plain,
% 0.20/0.40 (![X0: $i] : (((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) <=> ![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[113])).
% 0.20/0.40 tff(115,plain,
% 0.20/0.40 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) <=> ![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(116,plain,
% 0.20/0.40 (^[X0: $i] : trans(monotonicity(rewrite((![X1: $i] : ((~gt(X0, X1)) => drugsu(X1)) & (~bcapacityex(X0))) <=> (![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))), quant_intro(proof_bind(^[X1: $i] : rewrite(((~gt(X0, X1)) => bsecretioni(X1)) <=> (gt(X0, X1) | bsecretioni(X1)))), (![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)) <=> ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))), (((![X1: $i] : ((~gt(X0, X1)) => drugsu(X1)) & (~bcapacityex(X0))) => ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1))) <=> ((![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0))) => ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))))), rewrite(((![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0))) => ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) <=> ((~(![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))), (((![X1: $i] : ((~gt(X0, X1)) => drugsu(X1)) & (~bcapacityex(X0))) => ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1))) <=> ((~(![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(117,plain,
% 0.20/0.40 (![X0: $i] : ((![X1: $i] : ((~gt(X0, X1)) => drugsu(X1)) & (~bcapacityex(X0))) => ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1))) <=> ![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[116])).
% 0.20/0.40 tff(118,axiom,(![X0: $i] : ((![X1: $i] : ((~gt(X0, X1)) => drugsu(X1)) & (~bcapacityex(X0))) => ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)))), file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax','sulfonylurea_effect')).
% 0.20/0.40 tff(119,plain,
% 0.20/0.40 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[118, 117])).
% 0.20/0.40 tff(120,plain,
% 0.20/0.40 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[119, 115])).
% 0.20/0.40 tff(121,plain,(
% 0.20/0.40 ![X0: $i] : (((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[120])).
% 0.20/0.40 tff(122,plain,
% 0.20/0.40 (![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[121, 114])).
% 0.20/0.40 tff(123,plain,
% 0.20/0.40 (![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[122, 112])).
% 0.20/0.40 tff(124,plain,
% 0.20/0.40 (![X0: $i] : (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[123, 107])).
% 0.20/0.40 tff(125,plain,
% 0.20/0.40 (((~![X0: $i] : (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))) | (bcapacityex(n0) | (~(drugsu(tptp_fun_X1_1(n0)) | gt(n0, tptp_fun_X1_1(n0)))) | ![X1: $i] : (bsecretioni(X1) | gt(n0, X1)))) <=> ((~![X0: $i] : (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))) | bcapacityex(n0) | (~(drugsu(tptp_fun_X1_1(n0)) | gt(n0, tptp_fun_X1_1(n0)))) | ![X1: $i] : (bsecretioni(X1) | gt(n0, X1)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(126,plain,
% 0.20/0.40 ((bcapacityex(n0) | (~(gt(n0, tptp_fun_X1_1(n0)) | drugsu(tptp_fun_X1_1(n0)))) | ![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) <=> (bcapacityex(n0) | (~(drugsu(tptp_fun_X1_1(n0)) | gt(n0, tptp_fun_X1_1(n0)))) | ![X1: $i] : (bsecretioni(X1) | gt(n0, X1)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(127,plain,
% 0.20/0.40 (((~![X0: $i] : (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))) | (bcapacityex(n0) | (~(gt(n0, tptp_fun_X1_1(n0)) | drugsu(tptp_fun_X1_1(n0)))) | ![X1: $i] : (gt(n0, X1) | bsecretioni(X1)))) <=> ((~![X0: $i] : (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))) | (bcapacityex(n0) | (~(drugsu(tptp_fun_X1_1(n0)) | gt(n0, tptp_fun_X1_1(n0)))) | ![X1: $i] : (bsecretioni(X1) | gt(n0, X1))))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[126])).
% 0.20/0.40 tff(128,plain,
% 0.20/0.40 (((~![X0: $i] : (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))) | (bcapacityex(n0) | (~(gt(n0, tptp_fun_X1_1(n0)) | drugsu(tptp_fun_X1_1(n0)))) | ![X1: $i] : (gt(n0, X1) | bsecretioni(X1)))) <=> ((~![X0: $i] : (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))) | bcapacityex(n0) | (~(drugsu(tptp_fun_X1_1(n0)) | gt(n0, tptp_fun_X1_1(n0)))) | ![X1: $i] : (bsecretioni(X1) | gt(n0, X1)))),
% 0.20/0.40 inference(transitivity,[status(thm)],[127, 125])).
% 0.20/0.40 tff(129,plain,
% 0.20/0.40 ((~![X0: $i] : (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))) | (bcapacityex(n0) | (~(gt(n0, tptp_fun_X1_1(n0)) | drugsu(tptp_fun_X1_1(n0)))) | ![X1: $i] : (gt(n0, X1) | bsecretioni(X1)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(130,plain,
% 0.20/0.40 ((~![X0: $i] : (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))) | bcapacityex(n0) | (~(drugsu(tptp_fun_X1_1(n0)) | gt(n0, tptp_fun_X1_1(n0)))) | ![X1: $i] : (bsecretioni(X1) | gt(n0, X1))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[129, 128])).
% 0.20/0.40 tff(131,plain,
% 0.20/0.40 ((~(drugsu(tptp_fun_X1_1(n0)) | gt(n0, tptp_fun_X1_1(n0)))) | ![X1: $i] : (bsecretioni(X1) | gt(n0, X1))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[130, 124, 105])).
% 0.20/0.40 tff(132,plain,
% 0.20/0.40 (![X1: $i] : (bsecretioni(X1) | gt(n0, X1))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[131, 94])).
% 0.20/0.40 tff(133,assumption,(~gt(n0, tptp_fun_X1_3(n0))), introduced(assumption)).
% 0.20/0.40 tff(134,assumption,(~bsecretioni(tptp_fun_X1_3(n0))), introduced(assumption)).
% 0.20/0.40 tff(135,plain,
% 0.20/0.40 (((~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) <=> ((~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(136,plain,
% 0.20/0.40 ((~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(137,plain,
% 0.20/0.40 ((~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.20/0.40 tff(138,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[137, 134, 133, 132])).
% 0.20/0.40 tff(139,plain,(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.40 tff(140,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[139, 77, 75])).
% 0.20/0.40 % SZS output end Proof
% 0.20/0.41 % E exiting
%------------------------------------------------------------------------------