%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MED009+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 05:17:10 AM UTC 2025
% Result : Theorem 0.12s 0.41s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MED009+1 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.35 % Computer : n016.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Thu Jun 19 23:28:17 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.41 % SZS status Theorem
% 0.12/0.41 % SZS output start Proof
% 0.12/0.41 tff(conditionnormo_type, type, (
% 0.12/0.41 conditionnormo: $i > $o)).
% 0.12/0.41 tff(tptp_fun_X1_8_type, type, (
% 0.12/0.41 tptp_fun_X1_8: $i > $i)).
% 0.12/0.41 tff(n0_type, type, (
% 0.12/0.41 n0: $i)).
% 0.12/0.41 tff(gt_type, type, (
% 0.12/0.41 gt: ( $i * $i ) > $o)).
% 0.12/0.41 tff(uptakelg_type, type, (
% 0.12/0.41 uptakelg: $i > $o)).
% 0.12/0.41 tff(uptakepg_type, type, (
% 0.12/0.41 uptakepg: $i > $o)).
% 0.12/0.41 tff(conditionhyper_type, type, (
% 0.12/0.41 conditionhyper: $i > $o)).
% 0.12/0.41 tff(bcapacityex_type, type, (
% 0.12/0.41 bcapacityex: $i > $o)).
% 0.12/0.41 tff(tptp_fun_X1_6_type, type, (
% 0.12/0.41 tptp_fun_X1_6: $i > $i)).
% 0.12/0.41 tff(tptp_fun_X1_7_type, type, (
% 0.12/0.41 tptp_fun_X1_7: $i > $i)).
% 0.12/0.41 tff(drugi_type, type, (
% 0.12/0.41 drugi: $i > $o)).
% 0.12/0.41 tff(s3_type, type, (
% 0.12/0.41 s3: $i > $o)).
% 0.12/0.41 tff(s1_type, type, (
% 0.12/0.41 s1: $i > $o)).
% 0.12/0.41 tff(qilt27_type, type, (
% 0.12/0.41 qilt27: $i > $o)).
% 0.12/0.41 tff(bcapacitysn_type, type, (
% 0.12/0.41 bcapacitysn: $i > $o)).
% 0.12/0.41 tff(bcapacityne_type, type, (
% 0.12/0.41 bcapacityne: $i > $o)).
% 0.12/0.41 tff(s2_type, type, (
% 0.12/0.41 s2: $i > $o)).
% 0.12/0.41 tff(releaselg_type, type, (
% 0.12/0.41 releaselg: $i > $o)).
% 0.12/0.41 tff(bsecretioni_type, type, (
% 0.12/0.41 bsecretioni: $i > $o)).
% 0.12/0.41 tff(tptp_fun_X1_10_type, type, (
% 0.12/0.41 tptp_fun_X1_10: $i > $i)).
% 0.12/0.41 tff(tptp_fun_X1_4_type, type, (
% 0.12/0.41 tptp_fun_X1_4: $i > $i)).
% 0.12/0.41 tff(1,assumption,(gt(n0, n0)), introduced(assumption)).
% 0.12/0.41 tff(2,plain,
% 0.12/0.41 (^[X: $i] : refl((~gt(X, X)) <=> (~gt(X, X)))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(3,plain,
% 0.12/0.41 (![X: $i] : (~gt(X, X)) <=> ![X: $i] : (~gt(X, X))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[2])).
% 0.12/0.41 tff(4,plain,
% 0.12/0.41 (![X: $i] : (~gt(X, X)) <=> ![X: $i] : (~gt(X, X))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(5,axiom,(![X: $i] : (~gt(X, X))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax','irreflexivity_gt')).
% 0.12/0.41 tff(6,plain,
% 0.12/0.41 (![X: $i] : (~gt(X, X))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.12/0.41 tff(7,plain,(
% 0.12/0.41 ![X: $i] : (~gt(X, X))),
% 0.12/0.41 inference(skolemize,[status(sab)],[6])).
% 0.12/0.41 tff(8,plain,
% 0.12/0.41 (![X: $i] : (~gt(X, X))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.12/0.41 tff(9,plain,
% 0.12/0.41 ((~![X: $i] : (~gt(X, X))) | (~gt(n0, n0))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(10,plain,
% 0.12/0.41 ($false),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 0.12/0.41 tff(11,plain,(~gt(n0, n0)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.41 tff(12,plain,
% 0.12/0.41 (s1(n0) <=> s1(n0)),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(13,plain,
% 0.12/0.41 ((~((((s1(n0) & ![X0: $i] : (gt(n0, X0) => conditionhyper(X0))) & (~bcapacitysn(n0))) & (~qilt27(n0))) => ?[X0: $i] : ((((~gt(n0, X0)) & s2(X0)) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1))) & (bcapacityne(X0) | bcapacityex(X0))))) <=> (~((~(s1(n0) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & (~bcapacitysn(n0)) & (~qilt27(n0)))) | ?[X0: $i] : ((~gt(n0, X0)) & s2(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)) & (bcapacityex(X0) | bcapacityne(X0)))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(14,axiom,(~((((s1(n0) & ![X0: $i] : (gt(n0, X0) => conditionhyper(X0))) & (~bcapacitysn(n0))) & (~qilt27(n0))) => ?[X0: $i] : ((((~gt(n0, X0)) & s2(X0)) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1))) & (bcapacityne(X0) | bcapacityex(X0))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','transs1s2_qige27')).
% 0.12/0.41 tff(15,plain,
% 0.12/0.41 (~((~(s1(n0) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & (~bcapacitysn(n0)) & (~qilt27(n0)))) | ?[X0: $i] : ((~gt(n0, X0)) & s2(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)) & (bcapacityex(X0) | bcapacityne(X0))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.12/0.41 tff(16,plain,
% 0.12/0.41 (s1(n0) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & (~bcapacitysn(n0)) & (~qilt27(n0))),
% 0.12/0.41 inference(or_elim,[status(thm)],[15])).
% 0.12/0.41 tff(17,plain,
% 0.12/0.41 (s1(n0)),
% 0.12/0.41 inference(and_elim,[status(thm)],[16])).
% 0.12/0.41 tff(18,plain,
% 0.12/0.41 (s1(n0)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[17, 12])).
% 0.12/0.41 tff(19,plain,
% 0.12/0.41 (^[X0: $i] : refl(((~s1(X0)) | (~s3(X0))) <=> ((~s1(X0)) | (~s3(X0))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(20,plain,
% 0.12/0.41 (![X0: $i] : ((~s1(X0)) | (~s3(X0))) <=> ![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[19])).
% 0.12/0.41 tff(21,plain,
% 0.12/0.41 (![X0: $i] : ((~s1(X0)) | (~s3(X0))) <=> ![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(22,axiom,(![X0: $i] : ((~s1(X0)) | (~s3(X0)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','xorstep6')).
% 0.21/0.41 tff(23,plain,
% 0.21/0.41 (![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.21/0.41 tff(24,plain,(
% 0.21/0.41 ![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 0.21/0.41 inference(skolemize,[status(sab)],[23])).
% 0.21/0.41 tff(25,plain,
% 0.21/0.41 (![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.21/0.41 tff(26,plain,
% 0.21/0.41 (((~![X0: $i] : ((~s1(X0)) | (~s3(X0)))) | ((~s1(n0)) | (~s3(n0)))) <=> ((~![X0: $i] : ((~s1(X0)) | (~s3(X0)))) | (~s1(n0)) | (~s3(n0)))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(27,plain,
% 0.21/0.41 ((~![X0: $i] : ((~s1(X0)) | (~s3(X0)))) | ((~s1(n0)) | (~s3(n0)))),
% 0.21/0.41 inference(quant_inst,[status(thm)],[])).
% 0.21/0.41 tff(28,plain,
% 0.21/0.41 ((~![X0: $i] : ((~s1(X0)) | (~s3(X0)))) | (~s1(n0)) | (~s3(n0))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.21/0.41 tff(29,plain,
% 0.21/0.41 (~s3(n0)),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[28, 25, 18])).
% 0.21/0.41 tff(30,plain,
% 0.21/0.41 (^[X0: $i] : refl((s3(X0) | (~drugi(X0))) <=> (s3(X0) | (~drugi(X0))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(31,plain,
% 0.21/0.41 (![X0: $i] : (s3(X0) | (~drugi(X0))) <=> ![X0: $i] : (s3(X0) | (~drugi(X0)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[30])).
% 0.21/0.41 tff(32,plain,
% 0.21/0.41 (![X0: $i] : (s3(X0) | (~drugi(X0))) <=> ![X0: $i] : (s3(X0) | (~drugi(X0)))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(33,plain,
% 0.21/0.41 (^[X0: $i] : rewrite((drugi(X0) => s3(X0)) <=> (s3(X0) | (~drugi(X0))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(34,plain,
% 0.21/0.41 (![X0: $i] : (drugi(X0) => s3(X0)) <=> ![X0: $i] : (s3(X0) | (~drugi(X0)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[33])).
% 0.21/0.41 tff(35,axiom,(![X0: $i] : (drugi(X0) => s3(X0))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','insulincomp')).
% 0.21/0.41 tff(36,plain,
% 0.21/0.41 (![X0: $i] : (s3(X0) | (~drugi(X0)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.21/0.41 tff(37,plain,
% 0.21/0.41 (![X0: $i] : (s3(X0) | (~drugi(X0)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[36, 32])).
% 0.21/0.41 tff(38,plain,(
% 0.21/0.41 ![X0: $i] : (s3(X0) | (~drugi(X0)))),
% 0.21/0.41 inference(skolemize,[status(sab)],[37])).
% 0.21/0.41 tff(39,plain,
% 0.21/0.41 (![X0: $i] : (s3(X0) | (~drugi(X0)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[38, 31])).
% 0.21/0.41 tff(40,plain,
% 0.21/0.41 (((~![X0: $i] : (s3(X0) | (~drugi(X0)))) | (s3(n0) | (~drugi(n0)))) <=> ((~![X0: $i] : (s3(X0) | (~drugi(X0)))) | s3(n0) | (~drugi(n0)))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(41,plain,
% 0.21/0.41 ((~![X0: $i] : (s3(X0) | (~drugi(X0)))) | (s3(n0) | (~drugi(n0)))),
% 0.21/0.41 inference(quant_inst,[status(thm)],[])).
% 0.21/0.41 tff(42,plain,
% 0.21/0.41 ((~![X0: $i] : (s3(X0) | (~drugi(X0)))) | s3(n0) | (~drugi(n0))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.21/0.41 tff(43,plain,
% 0.21/0.41 (~drugi(n0)),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[42, 39, 29])).
% 0.21/0.41 tff(44,plain,
% 0.21/0.41 (^[X0: $i, X1: $i] : trans(monotonicity(rewrite((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) <=> (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0))))), rewrite((gt(X0, X1) | drugi(X1)) <=> (gt(X0, X1) | drugi(X1))), (((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))) <=> ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))))), rewrite(((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))) <=> (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))), (((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))) <=> (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(45,plain,
% 0.21/0.41 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[44])).
% 0.21/0.41 tff(46,plain,
% 0.21/0.41 (^[X0: $i, X1: $i] : refl(((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))) <=> ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(47,plain,
% 0.21/0.41 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[46])).
% 0.21/0.41 tff(48,plain,
% 0.21/0.41 (![X0: $i] : ![X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1)))),
% 0.21/0.41 inference(pull_quant,[status(thm)],[])).
% 0.21/0.41 tff(49,plain,
% 0.21/0.41 (^[X0: $i] : pull_quant(((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ![X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(50,plain,
% 0.21/0.41 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ![X0: $i] : ![X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[49])).
% 0.21/0.41 tff(51,plain,
% 0.21/0.41 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1)))),
% 0.21/0.41 inference(transitivity,[status(thm)],[50, 48])).
% 0.21/0.41 tff(52,plain,
% 0.21/0.41 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1)))),
% 0.21/0.41 inference(transitivity,[status(thm)],[51, 47])).
% 0.21/0.41 tff(53,plain,
% 0.21/0.41 (^[X0: $i] : rewrite(((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(54,plain,
% 0.21/0.41 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[53])).
% 0.21/0.41 tff(55,plain,
% 0.21/0.41 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1)))),
% 0.21/0.41 inference(transitivity,[status(thm)],[54, 52])).
% 0.21/0.41 tff(56,plain,
% 0.21/0.41 (^[X0: $i] : rewrite((((~(gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(57,plain,
% 0.21/0.41 (![X0: $i] : (((~(gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[56])).
% 0.21/0.41 tff(58,plain,
% 0.21/0.41 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(59,plain,
% 0.21/0.41 (^[X0: $i] : trans(monotonicity(rewrite((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) <=> (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))), quant_intro(proof_bind(^[X1: $i] : rewrite(((~gt(X0, X1)) => drugi(X1)) <=> (gt(X0, X1) | drugi(X1)))), (![X1: $i] : ((~gt(X0, X1)) => drugi(X1)) <=> ![X1: $i] : (gt(X0, X1) | drugi(X1)))), (((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) => ![X1: $i] : ((~gt(X0, X1)) => drugi(X1))) <=> ((![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) => ![X1: $i] : (gt(X0, X1) | drugi(X1))))), rewrite(((![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) => ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))), (((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) => ![X1: $i] : ((~gt(X0, X1)) => drugi(X1))) <=> ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(60,plain,
% 0.21/0.41 (![X0: $i] : ((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) => ![X1: $i] : ((~gt(X0, X1)) => drugi(X1))) <=> ![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[59])).
% 0.21/0.41 tff(61,axiom,(![X0: $i] : ((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) => ![X1: $i] : ((~gt(X0, X1)) => drugi(X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','insulin_completion')).
% 0.21/0.41 tff(62,plain,
% 0.21/0.41 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.21/0.41 tff(63,plain,
% 0.21/0.41 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[62, 58])).
% 0.21/0.41 tff(64,plain,(
% 0.21/0.41 ![X0: $i] : (((~(gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 0.21/0.42 inference(skolemize,[status(sab)],[63])).
% 0.21/0.42 tff(65,plain,
% 0.21/0.42 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[64, 57])).
% 0.21/0.42 tff(66,plain,
% 0.21/0.42 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[65, 55])).
% 0.21/0.42 tff(67,plain,
% 0.21/0.42 (![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[66, 45])).
% 0.21/0.42 tff(68,plain,
% 0.21/0.42 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | (drugi(n0) | gt(n0, n0) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | drugi(n0) | gt(n0, n0) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(69,plain,
% 0.21/0.42 ((gt(n0, n0) | drugi(n0) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))))) <=> (drugi(n0) | gt(n0, n0) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(70,plain,
% 0.21/0.42 ((~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) <=> (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(71,plain,
% 0.21/0.42 ((gt(n0, n0) | drugi(n0) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))))) <=> (gt(n0, n0) | drugi(n0) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[70])).
% 0.21/0.42 tff(72,plain,
% 0.21/0.42 ((gt(n0, n0) | drugi(n0) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))))) <=> (drugi(n0) | gt(n0, n0) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))))),
% 0.21/0.42 inference(transitivity,[status(thm)],[71, 69])).
% 0.21/0.42 tff(73,plain,
% 0.21/0.42 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | (gt(n0, n0) | drugi(n0) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | (drugi(n0) | gt(n0, n0) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))))))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[72])).
% 0.21/0.42 tff(74,plain,
% 0.21/0.42 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | (gt(n0, n0) | drugi(n0) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | drugi(n0) | gt(n0, n0) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))))),
% 0.21/0.42 inference(transitivity,[status(thm)],[73, 68])).
% 0.21/0.42 tff(75,plain,
% 0.21/0.42 ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | (gt(n0, n0) | drugi(n0) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(76,plain,
% 0.21/0.42 ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | drugi(n0) | gt(n0, n0) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.21/0.42 tff(77,plain,
% 0.21/0.42 (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[76, 67, 43, 11])).
% 0.21/0.42 tff(78,plain,
% 0.21/0.42 ((uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))) | (~gt(n0, tptp_fun_X1_6(n0)))),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(79,plain,
% 0.21/0.42 (~gt(n0, tptp_fun_X1_6(n0))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[78, 77])).
% 0.21/0.42 tff(80,plain,
% 0.21/0.42 ((uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_6(n0)))),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(81,plain,
% 0.21/0.42 (~uptakepg(tptp_fun_X1_6(n0))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[80, 77])).
% 0.21/0.42 tff(82,assumption,(![X1: $i] : (uptakepg(X1) | gt(n0, X1))), introduced(assumption)).
% 0.21/0.42 tff(83,plain,
% 0.21/0.42 (((~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))) <=> ((~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(84,plain,
% 0.21/0.42 ((~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(85,plain,
% 0.21/0.42 ((~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.21/0.42 tff(86,plain,
% 0.21/0.42 ($false),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[85, 82, 81, 79])).
% 0.21/0.42 tff(87,plain,(~![X1: $i] : (uptakepg(X1) | gt(n0, X1))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.42 tff(88,plain,
% 0.21/0.42 (((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1)))) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1))),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(89,plain,
% 0.21/0.42 ((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1)))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[88, 87])).
% 0.21/0.42 tff(90,plain,
% 0.21/0.42 ((uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))) | (~uptakelg(tptp_fun_X1_7(n0)))),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(91,plain,
% 0.21/0.42 (~uptakelg(tptp_fun_X1_7(n0))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[90, 77])).
% 0.21/0.42 tff(92,plain,
% 0.21/0.42 ((uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))) | (~gt(n0, tptp_fun_X1_7(n0)))),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(93,plain,
% 0.21/0.42 (~gt(n0, tptp_fun_X1_7(n0))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[92, 77])).
% 0.21/0.42 tff(94,plain,
% 0.21/0.42 (^[X0: $i, X1: $i] : refl((gt(X0, X1) | uptakelg(X1) | releaselg(X1)) <=> (gt(X0, X1) | uptakelg(X1) | releaselg(X1)))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(95,plain,
% 0.21/0.42 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1)) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[94])).
% 0.21/0.42 tff(96,plain,
% 0.21/0.42 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1)) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(97,plain,
% 0.21/0.42 (^[X0: $i, X1: $i] : trans(monotonicity(rewrite(((~releaselg(X1)) => uptakelg(X1)) <=> (releaselg(X1) | uptakelg(X1))), (((~gt(X0, X1)) => ((~releaselg(X1)) => uptakelg(X1))) <=> ((~gt(X0, X1)) => (releaselg(X1) | uptakelg(X1))))), rewrite(((~gt(X0, X1)) => (releaselg(X1) | uptakelg(X1))) <=> (gt(X0, X1) | uptakelg(X1) | releaselg(X1))), (((~gt(X0, X1)) => ((~releaselg(X1)) => uptakelg(X1))) <=> (gt(X0, X1) | uptakelg(X1) | releaselg(X1))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(98,plain,
% 0.21/0.42 (![X0: $i, X1: $i] : ((~gt(X0, X1)) => ((~releaselg(X1)) => uptakelg(X1))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[97])).
% 0.21/0.42 tff(99,axiom,(![X0: $i, X1: $i] : ((~gt(X0, X1)) => ((~releaselg(X1)) => uptakelg(X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','uptake_completion')).
% 0.21/0.42 tff(100,plain,
% 0.21/0.42 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[99, 98])).
% 0.21/0.42 tff(101,plain,
% 0.21/0.42 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[100, 96])).
% 0.21/0.42 tff(102,plain,(
% 0.21/0.42 ![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 0.21/0.42 inference(skolemize,[status(sab)],[101])).
% 0.21/0.42 tff(103,plain,
% 0.21/0.42 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[102, 95])).
% 0.21/0.42 tff(104,plain,
% 0.21/0.42 (((~![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))) | (gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)) | releaselg(tptp_fun_X1_7(n0)))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)) | releaselg(tptp_fun_X1_7(n0)))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(105,plain,
% 0.21/0.42 ((~![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))) | (gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)) | releaselg(tptp_fun_X1_7(n0)))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(106,plain,
% 0.21/0.42 ((~![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)) | releaselg(tptp_fun_X1_7(n0))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.21/0.42 tff(107,plain,
% 0.21/0.42 (releaselg(tptp_fun_X1_7(n0))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[106, 103, 93, 91])).
% 0.21/0.42 tff(108,assumption,(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))), introduced(assumption)).
% 0.21/0.42 tff(109,plain,
% 0.21/0.42 (((~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))) | ((~releaselg(tptp_fun_X1_7(n0))) | gt(n0, tptp_fun_X1_7(n0)))) <=> ((~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))) | (~releaselg(tptp_fun_X1_7(n0))) | gt(n0, tptp_fun_X1_7(n0)))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(110,plain,
% 0.21/0.42 ((~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))) | ((~releaselg(tptp_fun_X1_7(n0))) | gt(n0, tptp_fun_X1_7(n0)))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(111,plain,
% 0.21/0.42 ((~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))) | (~releaselg(tptp_fun_X1_7(n0))) | gt(n0, tptp_fun_X1_7(n0))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.21/0.42 tff(112,plain,
% 0.21/0.42 ($false),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[111, 108, 93, 107])).
% 0.21/0.42 tff(113,plain,(~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.42 tff(114,plain,
% 0.21/0.42 ((~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))) | ![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1))),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(115,plain,
% 0.21/0.42 (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[114, 113, 87])).
% 0.21/0.42 tff(116,plain,
% 0.21/0.42 (((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1))))) | (![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(117,plain,
% 0.21/0.42 ((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1))))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[116, 115])).
% 0.21/0.42 tff(118,plain,
% 0.21/0.42 ((~bcapacitysn(n0)) <=> (~bcapacitysn(n0))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(119,plain,
% 0.21/0.42 (~bcapacitysn(n0)),
% 0.21/0.42 inference(and_elim,[status(thm)],[16])).
% 0.21/0.42 tff(120,plain,
% 0.21/0.42 (~bcapacitysn(n0)),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.21/0.42 tff(121,plain,
% 0.21/0.42 (((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))) | bcapacitysn(n0)),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(122,plain,
% 0.21/0.42 ((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[121, 120])).
% 0.21/0.42 tff(123,plain,
% 0.21/0.42 (((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1))))) | bcapacitysn(n0)),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(124,plain,
% 0.21/0.42 ((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1))))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[123, 120])).
% 0.21/0.42 tff(125,plain,
% 0.21/0.42 (^[X0: $i] : trans(monotonicity(rewrite((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) <=> (~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0))))), monotonicity(monotonicity(rewrite((~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) <=> (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))), rewrite((~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) <=> (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))), (((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))) <=> ((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))))), ((~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) <=> (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))))), rewrite((~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) <=> (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1))))))), monotonicity(monotonicity(rewrite((~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) <=> (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))), rewrite((~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) <=> (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))), monotonicity(rewrite((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) <=> (![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))), ((~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) <=> (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))), (((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))))) <=> ((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))))))), ((~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) <=> (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))))), rewrite((~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) <=> (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1)))))), (((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1)))))) <=> ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1)))))))), rewrite(((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1)))))) <=> ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))), (((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1)))))) <=> ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(126,plain,
% 0.21/0.43 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1)))))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[125])).
% 0.21/0.43 tff(127,plain,
% 0.21/0.43 (^[X0: $i] : refl(((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1)))))) <=> ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1)))))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(128,plain,
% 0.21/0.43 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1)))))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[127])).
% 0.21/0.43 tff(129,plain,
% 0.21/0.43 (^[X0: $i] : rewrite(((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1)))))) <=> ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1)))))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(130,plain,
% 0.21/0.43 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1)))))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))))),
% 0.21/0.43 inference(quant_intro,[status(thm)],[129])).
% 0.21/0.43 tff(131,plain,
% 0.21/0.43 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1)))))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))))),
% 0.21/0.43 inference(transitivity,[status(thm)],[130, 128])).
% 0.21/0.43 tff(132,plain,
% 0.21/0.43 (^[X0: $i] : trans(monotonicity(rewrite((![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) <=> (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))))), rewrite((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) <=> (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))))), trans(monotonicity(rewrite((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) <=> (![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))), (((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) <=> ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))), rewrite(((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) <=> (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))))))), (((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) <=> (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))))), rewrite((![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) <=> (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1)))))), rewrite((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) <=> (~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0))))), (((![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0))))) <=> ((~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0))))))), rewrite(((~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0))))) <=> ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))))), (((![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & bcapacitysn(X0) & qilt27(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0))))) <=> ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))))))),
% 0.21/0.43 inference(bind,[status(th)],[])).
% 0.21/0.43 tff(133,plain,
% 0.21/0.43 (![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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0))))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[132])).
% 0.21/0.44 tff(134,plain,
% 0.21/0.44 (![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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(135,plain,
% 0.21/0.44 (^[X0: $i] : trans(monotonicity(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)))), trans(monotonicity(trans(monotonicity(rewrite(((((![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)) & bcapacitysn(X0)) & qilt27(X0)) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1))) | (((![X1: $i] : ((~gt(X0, X1)) => (~releaselg(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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))), trans(monotonicity(trans(monotonicity(rewrite(((![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityne(X0)) <=> ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(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)) => (~releaselg(X1))) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityne(X0)) & ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1))) <=> (((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0)) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))))), rewrite((((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0)) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) <=> ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))), ((((![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityne(X0)) & ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1))) <=> ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))))), 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)) => (~releaselg(X1))) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityne(X0)) & ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1))) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1))) <=> (((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))), rewrite((((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) <=> ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))), (((((![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityne(X0)) & ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1))) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1))) <=> ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(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)) => (~releaselg(X1))) & bcapacitysn(X0)) & (~qilt27(X0))) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1)))) | ((((![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityne(X0)) & ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(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)) => (~releaselg(X1))) & bcapacitysn(X0)) & (~qilt27(X0))) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1)))) | ((((![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityne(X0)) & ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))))), trans(monotonicity(trans(monotonicity(rewrite((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) & ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) <=> (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))), (((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) & ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityex(X0)) <=> ((![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityex(X0)))), rewrite(((![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityex(X0)) <=> (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(X0))), (((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) & ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityex(X0)) <=> (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(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)) => uptakelg(X1)) & ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityex(X0)) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1))) <=> ((![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))), rewrite(((![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) <=> (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))), ((((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) & ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityex(X0)) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1))) <=> (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(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)) => (~releaselg(X1))) & bcapacitysn(X0)) & (~qilt27(X0))) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1)))) | ((((![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityne(X0)) & ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1))) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1)))) | (((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) & ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityex(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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(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)) => (~releaselg(X1))) & bcapacitysn(X0)) & (~qilt27(X0))) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1)))) | ((((![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityne(X0)) & ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1))) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1)))) | (((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) & ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityex(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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(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)) => (~releaselg(X1))) & bcapacitysn(X0)) & (~qilt27(X0))) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1)))) | ((((![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityne(X0)) & ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1))) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1)))) | (((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) & ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityex(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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))))), rewrite((![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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(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)) => (~releaselg(X1))) & bcapacitysn(X0)) & (~qilt27(X0))) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1)))) | ((((![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityne(X0)) & ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1))) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1)))) | (((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) & ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityex(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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(136,plain,
% 0.21/0.45 (![X0: $i] : (![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)) => (~releaselg(X1))) & bcapacitysn(X0)) & (~qilt27(X0))) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1)))) | ((((![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityne(X0)) & ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1))) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1)))) | (((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) & ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityex(X0)) & ![X1: $i] : (gt(X0, X1) => conditionhyper(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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[135])).
% 0.21/0.45 tff(137,axiom,(![X0: $i] : (![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)) => (~releaselg(X1))) & bcapacitysn(X0)) & (~qilt27(X0))) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1)))) | ((((![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityne(X0)) & ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1))) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1)))) | (((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) & ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) & bcapacityex(X0)) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1)))))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','normo')).
% 0.21/0.45 tff(138,plain,
% 0.21/0.45 (![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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[137, 136])).
% 0.21/0.45 tff(139,plain,
% 0.21/0.45 (![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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[138, 134])).
% 0.21/0.45 tff(140,plain,(
% 0.21/0.45 ![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) | (~releaselg(X1))) & bcapacitysn(X0) & (~qilt27(X0)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | ((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) & bcapacityne(X0) & ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) & ![X1: $i] : (gt(X0, X1) | uptakepg(X1)) & bcapacityex(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))))),
% 0.21/0.45 inference(skolemize,[status(sab)],[139])).
% 0.21/0.45 tff(141,plain,
% 0.21/0.45 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[140, 133])).
% 0.21/0.45 tff(142,plain,
% 0.21/0.45 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[141, 131])).
% 0.21/0.45 tff(143,plain,
% 0.21/0.45 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[142, 126])).
% 0.21/0.45 tff(144,plain,
% 0.21/0.45 (((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | ((~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))) <=> ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | (~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(145,plain,
% 0.21/0.45 (((~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))))) <=> ((~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(146,plain,
% 0.21/0.45 ((~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1)))))) <=> (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(147,plain,
% 0.21/0.45 ((~((~bcapacityex(n0)) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakelg(X1))))) <=> (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1)))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(148,plain,
% 0.21/0.45 ((~((~bcapacityne(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(n0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(n0, X1) | uptakepg(X1)))))) <=> (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1))))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(149,plain,
% 0.21/0.45 ((~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))))) <=> (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1))))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(150,plain,
% 0.21/0.45 ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) <=> (~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(151,plain,
% 0.21/0.45 (((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(n0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(n0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1))))))) <=> ((~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[150, 149, 148, 147, 146])).
% 0.21/0.45 tff(152,plain,
% 0.21/0.45 (((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(n0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(n0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1))))))) <=> ((~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 0.21/0.46 inference(transitivity,[status(thm)],[151, 145])).
% 0.21/0.46 tff(153,plain,
% 0.21/0.46 (((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(n0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(n0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1)))))))) <=> ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | ((~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))))))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[152])).
% 0.21/0.46 tff(154,plain,
% 0.21/0.46 (((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(n0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(n0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1)))))))) <=> ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | (~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 0.21/0.46 inference(transitivity,[status(thm)],[153, 144])).
% 0.21/0.46 tff(155,plain,
% 0.21/0.46 ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(n0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(n0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1)))))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(156,plain,
% 0.21/0.46 ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | (~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.21/0.46 tff(157,plain,
% 0.21/0.46 ((~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1)))))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[156, 143, 124, 122])).
% 0.21/0.46 tff(158,plain,
% 0.21/0.46 (~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[157, 117, 89])).
% 0.21/0.46 tff(159,plain,
% 0.21/0.46 ((conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0))) | (~conditionnormo(tptp_fun_X1_8(n0)))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(160,plain,
% 0.21/0.46 (~conditionnormo(tptp_fun_X1_8(n0))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[159, 158])).
% 0.21/0.46 tff(161,plain,
% 0.21/0.46 ((conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0))) | (~gt(n0, tptp_fun_X1_8(n0)))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(162,plain,
% 0.21/0.46 (~gt(n0, tptp_fun_X1_8(n0))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[161, 158])).
% 0.21/0.46 tff(163,assumption,(~((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)))), introduced(assumption)).
% 0.21/0.46 tff(164,plain,
% 0.21/0.46 (((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0))) | (~gt(n0, tptp_fun_X1_10(n0)))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(165,plain,
% 0.21/0.46 (~gt(n0, tptp_fun_X1_10(n0))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[164, 163])).
% 0.21/0.46 tff(166,plain,
% 0.21/0.46 (((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0))) | s2(tptp_fun_X1_10(n0))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(167,plain,
% 0.21/0.46 (s2(tptp_fun_X1_10(n0))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[166, 163])).
% 0.21/0.46 tff(168,plain,
% 0.21/0.46 (((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0))) | (bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(169,plain,
% 0.21/0.46 (bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[168, 163])).
% 0.21/0.46 tff(170,plain,
% 0.21/0.46 (^[X0: $i] : refl(((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0)))) <=> ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0)))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(171,plain,
% 0.21/0.46 (![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0)))) <=> ![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[170])).
% 0.21/0.46 tff(172,plain,
% 0.21/0.46 (^[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))))), ((gt(n0, X0) | (~s2(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0)))) <=> (gt(n0, X0) | (~s2(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0)))))), rewrite((gt(n0, X0) | (~s2(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0)))) <=> ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))), ((gt(n0, X0) | (~s2(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0)))) <=> ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(173,plain,
% 0.21/0.46 (![X0: $i] : (gt(n0, X0) | (~s2(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0)))) <=> ![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[172])).
% 0.21/0.46 tff(174,plain,
% 0.21/0.46 ((~?[X0: $i] : ((~gt(n0, X0)) & s2(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)) & (bcapacityex(X0) | bcapacityne(X0)))) <=> (~?[X0: $i] : ((~gt(n0, X0)) & s2(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)) & (bcapacityex(X0) | bcapacityne(X0))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(175,plain,
% 0.21/0.46 (~?[X0: $i] : ((~gt(n0, X0)) & s2(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)) & (bcapacityex(X0) | bcapacityne(X0)))),
% 0.21/0.46 inference(or_elim,[status(thm)],[15])).
% 0.21/0.46 tff(176,plain,
% 0.21/0.46 (~?[X0: $i] : ((~gt(n0, X0)) & s2(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)) & (bcapacityex(X0) | bcapacityne(X0)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[175, 174])).
% 0.21/0.47 tff(177,plain,
% 0.21/0.47 (~?[X0: $i] : ((~gt(n0, X0)) & s2(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)) & (bcapacityex(X0) | bcapacityne(X0)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[176, 174])).
% 0.21/0.47 tff(178,plain,
% 0.21/0.47 (~?[X0: $i] : ((~gt(n0, X0)) & s2(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)) & (bcapacityex(X0) | bcapacityne(X0)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[177, 174])).
% 0.21/0.47 tff(179,plain,
% 0.21/0.47 (^[X0: $i] : nnf_neg(refl($oeq(gt(n0, X0), gt(n0, X0))), refl($oeq((~s2(X0)), (~s2(X0)))), sk($oeq((~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))), (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))), refl($oeq((~(bcapacityex(X0) | bcapacityne(X0))), (~(bcapacityex(X0) | bcapacityne(X0))))), $oeq((~((~gt(n0, X0)) & s2(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)) & (bcapacityex(X0) | bcapacityne(X0)))), (gt(n0, X0) | (~s2(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(180,plain,(
% 0.21/0.47 ![X0: $i] : (gt(n0, X0) | (~s2(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))),
% 0.21/0.47 inference(nnf-neg,[status(sab)],[178, 179])).
% 0.21/0.47 tff(181,plain,
% 0.21/0.47 (![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[180, 173])).
% 0.21/0.47 tff(182,plain,
% 0.21/0.47 (![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[181, 171])).
% 0.21/0.47 tff(183,plain,
% 0.21/0.47 (((~![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))) | ((~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)) | (~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))))))) <=> ((~![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)) | (~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(184,plain,
% 0.21/0.47 (((~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)) | (~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0))))) <=> ((~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)) | (~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(185,plain,
% 0.21/0.47 ((~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))))) <=> (~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0)))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(186,plain,
% 0.21/0.47 (((~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)) | (~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0))))) <=> ((~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)) | (~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[185])).
% 0.21/0.47 tff(187,plain,
% 0.21/0.47 (((~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)) | (~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0))))) <=> ((~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)) | (~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))))))),
% 0.21/0.47 inference(transitivity,[status(thm)],[186, 184])).
% 0.21/0.47 tff(188,plain,
% 0.21/0.47 (((~![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))) | ((~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)) | (~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))))) <=> ((~![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))) | ((~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)) | (~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0)))))))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[187])).
% 0.21/0.47 tff(189,plain,
% 0.21/0.47 (((~![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))) | ((~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)) | (~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))))) <=> ((~![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)) | (~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))))))),
% 0.21/0.47 inference(transitivity,[status(thm)],[188, 183])).
% 0.21/0.47 tff(190,plain,
% 0.21/0.47 ((~![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))) | ((~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)) | (~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(191,plain,
% 0.21/0.47 ((~![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)) | (~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0)))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[190, 189])).
% 0.21/0.47 tff(192,plain,
% 0.21/0.47 (~((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[191, 182, 169, 167, 165])).
% 0.21/0.47 tff(193,plain,
% 0.21/0.47 (((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | (~conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(194,plain,
% 0.21/0.47 (~conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0)))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[193, 192])).
% 0.21/0.47 tff(195,plain,
% 0.21/0.47 (((~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0)))) | gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(196,plain,
% 0.21/0.47 (gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[195, 192])).
% 0.21/0.47 tff(197,plain,
% 0.21/0.47 (((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0))) | ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(198,plain,
% 0.21/0.47 (![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[197, 163])).
% 0.21/0.47 tff(199,plain,
% 0.21/0.47 (((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))) | (~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))))) <=> ((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))) | (~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(200,plain,
% 0.21/0.47 ((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))) | (~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(201,plain,
% 0.21/0.47 ((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))) | (~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[200, 199])).
% 0.21/0.47 tff(202,plain,
% 0.21/0.47 ($false),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[201, 198, 196, 194])).
% 0.21/0.47 tff(203,plain,((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.47 tff(204,plain,
% 0.21/0.47 (^[X0: $i] : trans(monotonicity(rewrite((~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))))) <=> (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2))))))), (((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))))) <=> ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2))))))))), rewrite(((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2))))))) <=> ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))))))), (((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))))) <=> ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(205,plain,
% 0.21/0.47 (![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))))) <=> ![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[204])).
% 0.21/0.47 tff(206,plain,
% 0.21/0.47 (^[X0: $i] : refl(((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))))) <=> ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(207,plain,
% 0.21/0.47 (![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))))) <=> ![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[206])).
% 0.21/0.47 tff(208,plain,
% 0.21/0.47 (^[X0: $i] : rewrite(((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))))) <=> ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(209,plain,
% 0.21/0.47 (![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))))) <=> ![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[208])).
% 0.21/0.47 tff(210,plain,
% 0.21/0.47 (![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))))) <=> ![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))))))),
% 0.21/0.47 inference(transitivity,[status(thm)],[209, 207])).
% 0.21/0.47 tff(211,plain,
% 0.21/0.47 (^[X0: $i] : trans(monotonicity(rewrite(((~gt(X0, tptp_fun_X1_10(X0))) & s2(tptp_fun_X1_10(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2))) & (bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) <=> (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))))), (((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | ((~gt(X0, tptp_fun_X1_10(X0))) & s2(tptp_fun_X1_10(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2))) & (bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))) <=> ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))))))), rewrite(((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))))) <=> ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))))))), (((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | ((~gt(X0, tptp_fun_X1_10(X0))) & s2(tptp_fun_X1_10(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2))) & (bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))) <=> ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(212,plain,
% 0.21/0.47 (![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | ((~gt(X0, tptp_fun_X1_10(X0))) & s2(tptp_fun_X1_10(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2))) & (bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))) <=> ![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[211])).
% 0.21/0.47 tff(213,plain,
% 0.21/0.47 (^[X0: $i] : trans(monotonicity(rewrite(((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) <=> ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))), rewrite(((~gt(X0, tptp_fun_X1_10(X0))) & s2(tptp_fun_X1_10(X0)) & ![X2: $i] : ((~gt(tptp_fun_X1_10(X0), X2)) | conditionhyper(X2)) & (bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) <=> ((~gt(X0, tptp_fun_X1_10(X0))) & s2(tptp_fun_X1_10(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2))) & (bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))), ((((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) | ((~gt(X0, tptp_fun_X1_10(X0))) & s2(tptp_fun_X1_10(X0)) & ![X2: $i] : ((~gt(tptp_fun_X1_10(X0), X2)) | conditionhyper(X2)) & (bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))) <=> (((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) | ((~gt(X0, tptp_fun_X1_10(X0))) & s2(tptp_fun_X1_10(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2))) & (bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))))), rewrite((((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) | ((~gt(X0, tptp_fun_X1_10(X0))) & s2(tptp_fun_X1_10(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2))) & (bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))) <=> ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | ((~gt(X0, tptp_fun_X1_10(X0))) & s2(tptp_fun_X1_10(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2))) & (bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))))), ((((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) | ((~gt(X0, tptp_fun_X1_10(X0))) & s2(tptp_fun_X1_10(X0)) & ![X2: $i] : ((~gt(tptp_fun_X1_10(X0), X2)) | conditionhyper(X2)) & (bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))) <=> ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | ((~gt(X0, tptp_fun_X1_10(X0))) & s2(tptp_fun_X1_10(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2))) & (bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(214,plain,
% 0.21/0.47 (![X0: $i] : (((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) | ((~gt(X0, tptp_fun_X1_10(X0))) & s2(tptp_fun_X1_10(X0)) & ![X2: $i] : ((~gt(tptp_fun_X1_10(X0), X2)) | conditionhyper(X2)) & (bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0))))) <=> ![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | ((~gt(X0, tptp_fun_X1_10(X0))) & s2(tptp_fun_X1_10(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2))) & (bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[213])).
% 0.21/0.47 tff(215,plain,
% 0.21/0.47 (![X0: $i] : ((~(s1(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))) | ?[X1: $i] : ((~gt(X0, X1)) & s2(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)) & (bcapacityex(X1) | bcapacityne(X1)))) <=> ![X0: $i] : ((~(s1(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))) | ?[X1: $i] : ((~gt(X0, X1)) & s2(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)) & (bcapacityex(X1) | bcapacityne(X1))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(216,plain,
% 0.21/0.47 (^[X0: $i] : trans(monotonicity(rewrite((s1(X0) & (~![X1: $i] : ((~gt(X0, X1)) => conditionnormo(X1)))) <=> (s1(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))), quant_intro(proof_bind(^[X1: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[X2: $i] : rewrite((gt(X1, X2) => conditionhyper(X2)) <=> ((~gt(X1, X2)) | conditionhyper(X2)))), (![X2: $i] : (gt(X1, X2) => conditionhyper(X2)) <=> ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)))), ((((~gt(X0, X1)) & s2(X1)) & ![X2: $i] : (gt(X1, X2) => conditionhyper(X2))) <=> (((~gt(X0, X1)) & s2(X1)) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2))))), rewrite((((~gt(X0, X1)) & s2(X1)) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2))) <=> ((~gt(X0, X1)) & s2(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)))), ((((~gt(X0, X1)) & s2(X1)) & ![X2: $i] : (gt(X1, X2) => conditionhyper(X2))) <=> ((~gt(X0, X1)) & s2(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2))))), rewrite((bcapacityne(X1) | bcapacityex(X1)) <=> (bcapacityex(X1) | bcapacityne(X1))), (((((~gt(X0, X1)) & s2(X1)) & ![X2: $i] : (gt(X1, X2) => conditionhyper(X2))) & (bcapacityne(X1) | bcapacityex(X1))) <=> (((~gt(X0, X1)) & s2(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2))) & (bcapacityex(X1) | bcapacityne(X1))))), rewrite((((~gt(X0, X1)) & s2(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2))) & (bcapacityex(X1) | bcapacityne(X1))) <=> ((~gt(X0, X1)) & s2(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)) & (bcapacityex(X1) | bcapacityne(X1)))), (((((~gt(X0, X1)) & s2(X1)) & ![X2: $i] : (gt(X1, X2) => conditionhyper(X2))) & (bcapacityne(X1) | bcapacityex(X1))) <=> ((~gt(X0, X1)) & s2(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)) & (bcapacityex(X1) | bcapacityne(X1)))))), (?[X1: $i] : ((((~gt(X0, X1)) & s2(X1)) & ![X2: $i] : (gt(X1, X2) => conditionhyper(X2))) & (bcapacityne(X1) | bcapacityex(X1))) <=> ?[X1: $i] : ((~gt(X0, X1)) & s2(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)) & (bcapacityex(X1) | bcapacityne(X1))))), (((s1(X0) & (~![X1: $i] : ((~gt(X0, X1)) => conditionnormo(X1)))) => ?[X1: $i] : ((((~gt(X0, X1)) & s2(X1)) & ![X2: $i] : (gt(X1, X2) => conditionhyper(X2))) & (bcapacityne(X1) | bcapacityex(X1)))) <=> ((s1(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) => ?[X1: $i] : ((~gt(X0, X1)) & s2(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)) & (bcapacityex(X1) | bcapacityne(X1)))))), rewrite(((s1(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) => ?[X1: $i] : ((~gt(X0, X1)) & s2(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)) & (bcapacityex(X1) | bcapacityne(X1)))) <=> ((~(s1(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))) | ?[X1: $i] : ((~gt(X0, X1)) & s2(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)) & (bcapacityex(X1) | bcapacityne(X1))))), (((s1(X0) & (~![X1: $i] : ((~gt(X0, X1)) => conditionnormo(X1)))) => ?[X1: $i] : ((((~gt(X0, X1)) & s2(X1)) & ![X2: $i] : (gt(X1, X2) => conditionhyper(X2))) & (bcapacityne(X1) | bcapacityex(X1)))) <=> ((~(s1(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))) | ?[X1: $i] : ((~gt(X0, X1)) & s2(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)) & (bcapacityex(X1) | bcapacityne(X1))))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(217,plain,
% 0.21/0.48 (![X0: $i] : ((s1(X0) & (~![X1: $i] : ((~gt(X0, X1)) => conditionnormo(X1)))) => ?[X1: $i] : ((((~gt(X0, X1)) & s2(X1)) & ![X2: $i] : (gt(X1, X2) => conditionhyper(X2))) & (bcapacityne(X1) | bcapacityex(X1)))) <=> ![X0: $i] : ((~(s1(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))) | ?[X1: $i] : ((~gt(X0, X1)) & s2(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)) & (bcapacityex(X1) | bcapacityne(X1))))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[216])).
% 0.21/0.48 tff(218,axiom,(![X0: $i] : ((s1(X0) & (~![X1: $i] : ((~gt(X0, X1)) => conditionnormo(X1)))) => ?[X1: $i] : ((((~gt(X0, X1)) & s2(X1)) & ![X2: $i] : (gt(X1, X2) => conditionhyper(X2))) & (bcapacityne(X1) | bcapacityex(X1))))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','trans_ax2')).
% 0.21/0.48 tff(219,plain,
% 0.21/0.48 (![X0: $i] : ((~(s1(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))) | ?[X1: $i] : ((~gt(X0, X1)) & s2(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)) & (bcapacityex(X1) | bcapacityne(X1))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[218, 217])).
% 0.21/0.48 tff(220,plain,
% 0.21/0.48 (![X0: $i] : ((~(s1(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))) | ?[X1: $i] : ((~gt(X0, X1)) & s2(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)) & (bcapacityex(X1) | bcapacityne(X1))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[219, 215])).
% 0.21/0.48 tff(221,plain,(
% 0.21/0.48 ![X0: $i] : (((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) | ((~gt(X0, tptp_fun_X1_10(X0))) & s2(tptp_fun_X1_10(X0)) & ![X2: $i] : ((~gt(tptp_fun_X1_10(X0), X2)) | conditionhyper(X2)) & (bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))))),
% 0.21/0.48 inference(skolemize,[status(sab)],[220])).
% 0.21/0.48 tff(222,plain,
% 0.21/0.48 (![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | ((~gt(X0, tptp_fun_X1_10(X0))) & s2(tptp_fun_X1_10(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2))) & (bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[221, 214])).
% 0.21/0.48 tff(223,plain,
% 0.21/0.48 (![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[222, 212])).
% 0.21/0.48 tff(224,plain,
% 0.21/0.48 (![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[223, 210])).
% 0.21/0.48 tff(225,plain,
% 0.21/0.48 (![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[224, 205])).
% 0.21/0.48 tff(226,plain,
% 0.21/0.48 (((~![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))))))) | ((~s1(n0)) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)) | (~((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)))))) <=> ((~![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))))))) | (~s1(n0)) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)) | (~((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)))))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(227,plain,
% 0.21/0.48 (((~s1(n0)) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)) | (~((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0))))) <=> ((~s1(n0)) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)) | (~((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)))))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(228,plain,
% 0.21/0.48 ((~(gt(n0, tptp_fun_X1_10(n0)) | (~s2(tptp_fun_X1_10(n0))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))))) <=> (~((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0))))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(229,plain,
% 0.21/0.48 (^[X1: $i] : rewrite((gt(n0, X1) | conditionnormo(X1)) <=> (conditionnormo(X1) | gt(n0, X1)))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(230,plain,
% 0.21/0.48 (![X1: $i] : (gt(n0, X1) | conditionnormo(X1)) <=> ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[229])).
% 0.21/0.48 tff(231,plain,
% 0.21/0.48 (((~s1(n0)) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1)) | (~(gt(n0, tptp_fun_X1_10(n0)) | (~s2(tptp_fun_X1_10(n0))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2))))))) <=> ((~s1(n0)) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)) | (~((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)))))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[230, 228])).
% 0.21/0.48 tff(232,plain,
% 0.21/0.48 (((~s1(n0)) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1)) | (~(gt(n0, tptp_fun_X1_10(n0)) | (~s2(tptp_fun_X1_10(n0))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2))))))) <=> ((~s1(n0)) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)) | (~((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)))))),
% 0.21/0.48 inference(transitivity,[status(thm)],[231, 227])).
% 0.21/0.48 tff(233,plain,
% 0.21/0.48 (((~![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))))))) | ((~s1(n0)) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1)) | (~(gt(n0, tptp_fun_X1_10(n0)) | (~s2(tptp_fun_X1_10(n0))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))))))) <=> ((~![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))))))) | ((~s1(n0)) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)) | (~((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0))))))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[232])).
% 0.21/0.48 tff(234,plain,
% 0.21/0.48 (((~![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))))))) | ((~s1(n0)) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1)) | (~(gt(n0, tptp_fun_X1_10(n0)) | (~s2(tptp_fun_X1_10(n0))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))))))) <=> ((~![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))))))) | (~s1(n0)) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)) | (~((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0)))))),
% 0.21/0.48 inference(transitivity,[status(thm)],[233, 226])).
% 0.21/0.48 tff(235,plain,
% 0.21/0.48 ((~![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))))))) | ((~s1(n0)) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1)) | (~(gt(n0, tptp_fun_X1_10(n0)) | (~s2(tptp_fun_X1_10(n0))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))))))),
% 0.21/0.48 inference(quant_inst,[status(thm)],[])).
% 0.21/0.48 tff(236,plain,
% 0.21/0.48 ((~![X0: $i] : ((~s1(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_10(X0)) | (~s2(tptp_fun_X1_10(X0))) | (~(bcapacityex(tptp_fun_X1_10(X0)) | bcapacityne(tptp_fun_X1_10(X0)))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(X0), X2)))))))) | (~s1(n0)) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)) | (~((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[235, 234])).
% 0.21/0.48 tff(237,plain,
% 0.21/0.48 (![X1: $i] : (conditionnormo(X1) | gt(n0, X1)) | (~((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | (~(bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))) | (~s2(tptp_fun_X1_10(n0))) | gt(n0, tptp_fun_X1_10(n0))))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[236, 225, 18])).
% 0.21/0.48 tff(238,plain,
% 0.21/0.48 (![X1: $i] : (conditionnormo(X1) | gt(n0, X1))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[237, 203])).
% 0.21/0.48 tff(239,assumption,(![X1: $i] : (conditionnormo(X1) | gt(n0, X1))), introduced(assumption)).
% 0.21/0.48 tff(240,assumption,(~gt(n0, tptp_fun_X1_8(n0))), introduced(assumption)).
% 0.21/0.48 tff(241,assumption,(~conditionnormo(tptp_fun_X1_8(n0))), introduced(assumption)).
% 0.21/0.48 tff(242,plain,
% 0.21/0.48 (((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | (conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) <=> ((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(243,plain,
% 0.21/0.49 ((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | (conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(244,plain,
% 0.21/0.49 ((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[243, 242])).
% 0.21/0.49 tff(245,plain,
% 0.21/0.49 ($false),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[244, 241, 240, 239])).
% 0.21/0.49 tff(246,plain,((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.49 tff(247,plain,
% 0.21/0.49 (conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[246, 238])).
% 0.21/0.49 tff(248,plain,
% 0.21/0.49 ($false),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[247, 162, 160])).
% 0.21/0.49 % SZS output end Proof
% 0.21/0.49 % E exiting
%------------------------------------------------------------------------------