TSTP Solution File: MED007+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MED007+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 05:08:12 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MED007+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 02:30:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.21/0.49 % SZS status Theorem
% 0.21/0.49 % SZS output start Proof
% 0.21/0.49 tff(gt_type, type, (
% 0.21/0.49 gt: ( $i * $i ) > $o)).
% 0.21/0.49 tff(n0_type, type, (
% 0.21/0.49 n0: $i)).
% 0.21/0.49 tff(releaselg_type, type, (
% 0.21/0.49 releaselg: $i > $o)).
% 0.21/0.49 tff(uptakelg_type, type, (
% 0.21/0.49 uptakelg: $i > $o)).
% 0.21/0.49 tff(tptp_fun_X1_7_type, type, (
% 0.21/0.49 tptp_fun_X1_7: $i > $i)).
% 0.21/0.49 tff(uptakepg_type, type, (
% 0.21/0.49 uptakepg: $i > $o)).
% 0.21/0.49 tff(tptp_fun_X1_6_type, type, (
% 0.21/0.49 tptp_fun_X1_6: $i > $i)).
% 0.21/0.49 tff(drugi_type, type, (
% 0.21/0.49 drugi: $i > $o)).
% 0.21/0.49 tff(s3_type, type, (
% 0.21/0.49 s3: $i > $o)).
% 0.21/0.49 tff(s1_type, type, (
% 0.21/0.49 s1: $i > $o)).
% 0.21/0.49 tff(qilt27_type, type, (
% 0.21/0.49 qilt27: $i > $o)).
% 0.21/0.49 tff(bcapacitysn_type, type, (
% 0.21/0.49 bcapacitysn: $i > $o)).
% 0.21/0.49 tff(conditionhyper_type, type, (
% 0.21/0.49 conditionhyper: $i > $o)).
% 0.21/0.49 tff(bcapacityne_type, type, (
% 0.21/0.49 bcapacityne: $i > $o)).
% 0.21/0.49 tff(bcapacityex_type, type, (
% 0.21/0.49 bcapacityex: $i > $o)).
% 0.21/0.49 tff(s2_type, type, (
% 0.21/0.49 s2: $i > $o)).
% 0.21/0.49 tff(conditionnormo_type, type, (
% 0.21/0.49 conditionnormo: $i > $o)).
% 0.21/0.49 tff(tptp_fun_X1_8_type, type, (
% 0.21/0.49 tptp_fun_X1_8: $i > $i)).
% 0.21/0.49 tff(tptp_fun_X1_10_type, type, (
% 0.21/0.49 tptp_fun_X1_10: $i > $i)).
% 0.21/0.49 tff(tptp_fun_X1_4_type, type, (
% 0.21/0.49 tptp_fun_X1_4: $i > $i)).
% 0.21/0.49 tff(bsecretioni_type, type, (
% 0.21/0.49 bsecretioni: $i > $o)).
% 0.21/0.49 tff(1,assumption,(gt(n0, n0)), introduced(assumption)).
% 0.21/0.49 tff(2,plain,
% 0.21/0.49 (^[X: $i] : refl((~gt(X, X)) <=> (~gt(X, X)))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(3,plain,
% 0.21/0.49 (![X: $i] : (~gt(X, X)) <=> ![X: $i] : (~gt(X, X))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[2])).
% 0.21/0.49 tff(4,plain,
% 0.21/0.49 (![X: $i] : (~gt(X, X)) <=> ![X: $i] : (~gt(X, X))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(5,axiom,(![X: $i] : (~gt(X, X))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax','irreflexivity_gt')).
% 0.21/0.49 tff(6,plain,
% 0.21/0.49 (![X: $i] : (~gt(X, X))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.21/0.49 tff(7,plain,(
% 0.21/0.49 ![X: $i] : (~gt(X, X))),
% 0.21/0.49 inference(skolemize,[status(sab)],[6])).
% 0.21/0.49 tff(8,plain,
% 0.21/0.49 (![X: $i] : (~gt(X, X))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.21/0.49 tff(9,plain,
% 0.21/0.49 ((~![X: $i] : (~gt(X, X))) | (~gt(n0, n0))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(10,plain,
% 0.21/0.49 ($false),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 0.21/0.49 tff(11,plain,(~gt(n0, n0)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.49 tff(12,plain,
% 0.21/0.49 (s1(n0) <=> s1(n0)),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(13,plain,
% 0.21/0.49 ((~((((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)))))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 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_qilt27')).
% 0.21/0.49 tff(15,plain,
% 0.21/0.49 (~((~(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))))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.21/0.49 tff(16,plain,
% 0.21/0.49 (s1(n0) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & (~bcapacitysn(n0)) & qilt27(n0)),
% 0.21/0.49 inference(or_elim,[status(thm)],[15])).
% 0.21/0.49 tff(17,plain,
% 0.21/0.49 (s1(n0)),
% 0.21/0.49 inference(and_elim,[status(thm)],[16])).
% 0.21/0.49 tff(18,plain,
% 0.21/0.49 (s1(n0)),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[17, 12])).
% 0.21/0.49 tff(19,plain,
% 0.21/0.49 (^[X0: $i] : refl(((~s1(X0)) | (~s3(X0))) <=> ((~s1(X0)) | (~s3(X0))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(20,plain,
% 0.21/0.49 (![X0: $i] : ((~s1(X0)) | (~s3(X0))) <=> ![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[19])).
% 0.21/0.49 tff(21,plain,
% 0.21/0.49 (![X0: $i] : ((~s1(X0)) | (~s3(X0))) <=> ![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(22,axiom,(![X0: $i] : ((~s1(X0)) | (~s3(X0)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','xorstep6')).
% 0.21/0.49 tff(23,plain,
% 0.21/0.49 (![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.21/0.49 tff(24,plain,(
% 0.21/0.49 ![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 0.21/0.49 inference(skolemize,[status(sab)],[23])).
% 0.21/0.49 tff(25,plain,
% 0.21/0.49 (![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.21/0.49 tff(26,plain,
% 0.21/0.49 (((~![X0: $i] : ((~s1(X0)) | (~s3(X0)))) | ((~s1(n0)) | (~s3(n0)))) <=> ((~![X0: $i] : ((~s1(X0)) | (~s3(X0)))) | (~s1(n0)) | (~s3(n0)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(27,plain,
% 0.21/0.49 ((~![X0: $i] : ((~s1(X0)) | (~s3(X0)))) | ((~s1(n0)) | (~s3(n0)))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(28,plain,
% 0.21/0.49 ((~![X0: $i] : ((~s1(X0)) | (~s3(X0)))) | (~s1(n0)) | (~s3(n0))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.21/0.49 tff(29,plain,
% 0.21/0.49 (~s3(n0)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[28, 25, 18])).
% 0.21/0.49 tff(30,plain,
% 0.21/0.49 (^[X0: $i] : refl((s3(X0) | (~drugi(X0))) <=> (s3(X0) | (~drugi(X0))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(31,plain,
% 0.21/0.49 (![X0: $i] : (s3(X0) | (~drugi(X0))) <=> ![X0: $i] : (s3(X0) | (~drugi(X0)))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[30])).
% 0.21/0.49 tff(32,plain,
% 0.21/0.49 (![X0: $i] : (s3(X0) | (~drugi(X0))) <=> ![X0: $i] : (s3(X0) | (~drugi(X0)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(33,plain,
% 0.21/0.49 (^[X0: $i] : rewrite((drugi(X0) => s3(X0)) <=> (s3(X0) | (~drugi(X0))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(34,plain,
% 0.21/0.49 (![X0: $i] : (drugi(X0) => s3(X0)) <=> ![X0: $i] : (s3(X0) | (~drugi(X0)))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[33])).
% 0.21/0.49 tff(35,axiom,(![X0: $i] : (drugi(X0) => s3(X0))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','insulincomp')).
% 0.21/0.49 tff(36,plain,
% 0.21/0.49 (![X0: $i] : (s3(X0) | (~drugi(X0)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.21/0.49 tff(37,plain,
% 0.21/0.49 (![X0: $i] : (s3(X0) | (~drugi(X0)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[36, 32])).
% 0.21/0.49 tff(38,plain,(
% 0.21/0.49 ![X0: $i] : (s3(X0) | (~drugi(X0)))),
% 0.21/0.49 inference(skolemize,[status(sab)],[37])).
% 0.21/0.49 tff(39,plain,
% 0.21/0.49 (![X0: $i] : (s3(X0) | (~drugi(X0)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[38, 31])).
% 0.21/0.49 tff(40,plain,
% 0.21/0.49 (((~![X0: $i] : (s3(X0) | (~drugi(X0)))) | (s3(n0) | (~drugi(n0)))) <=> ((~![X0: $i] : (s3(X0) | (~drugi(X0)))) | s3(n0) | (~drugi(n0)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(41,plain,
% 0.21/0.49 ((~![X0: $i] : (s3(X0) | (~drugi(X0)))) | (s3(n0) | (~drugi(n0)))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(42,plain,
% 0.21/0.49 ((~![X0: $i] : (s3(X0) | (~drugi(X0)))) | s3(n0) | (~drugi(n0))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.21/0.49 tff(43,plain,
% 0.21/0.49 (~drugi(n0)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[42, 39, 29])).
% 0.21/0.49 tff(44,plain,
% 0.21/0.49 (^[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)))))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(45,plain,
% 0.21/0.50 (![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)))))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[44])).
% 0.21/0.50 tff(46,plain,
% 0.21/0.50 (^[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))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(47,plain,
% 0.21/0.50 (![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)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[46])).
% 0.21/0.50 tff(48,plain,
% 0.21/0.50 (![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)))),
% 0.21/0.50 inference(pull_quant,[status(thm)],[])).
% 0.21/0.50 tff(49,plain,
% 0.21/0.50 (^[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))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(50,plain,
% 0.21/0.50 (![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)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[49])).
% 0.21/0.50 tff(51,plain,
% 0.21/0.50 (![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)))),
% 0.21/0.50 inference(transitivity,[status(thm)],[50, 48])).
% 0.21/0.50 tff(52,plain,
% 0.21/0.50 (![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)))),
% 0.21/0.50 inference(transitivity,[status(thm)],[51, 47])).
% 0.21/0.50 tff(53,plain,
% 0.21/0.50 (^[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))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(54,plain,
% 0.21/0.50 (![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)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[53])).
% 0.21/0.50 tff(55,plain,
% 0.21/0.50 (![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)))),
% 0.21/0.50 inference(transitivity,[status(thm)],[54, 52])).
% 0.21/0.50 tff(56,plain,
% 0.21/0.50 (^[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))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(57,plain,
% 0.21/0.50 (![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)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[56])).
% 0.21/0.50 tff(58,plain,
% 0.21/0.50 (![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)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(59,plain,
% 0.21/0.50 (^[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)))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(60,plain,
% 0.21/0.50 (![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)))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[59])).
% 0.21/0.50 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')).
% 0.21/0.50 tff(62,plain,
% 0.21/0.50 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.21/0.50 tff(63,plain,
% 0.21/0.50 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[62, 58])).
% 0.21/0.50 tff(64,plain,(
% 0.21/0.50 ![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)))),
% 0.21/0.50 inference(skolemize,[status(sab)],[63])).
% 0.21/0.50 tff(65,plain,
% 0.21/0.50 (![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)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[64, 57])).
% 0.21/0.50 tff(66,plain,
% 0.21/0.50 (![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)))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[65, 55])).
% 0.21/0.50 tff(67,plain,
% 0.21/0.50 (![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)))))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[66, 45])).
% 0.21/0.50 tff(68,plain,
% 0.21/0.50 (((~![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) | (~(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) | (~(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)))))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(69,plain,
% 0.21/0.50 ((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) | (~(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)))))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(70,plain,
% 0.21/0.50 ((~(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, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(71,plain,
% 0.21/0.50 ((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) | (~(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)))))),
% 0.21/0.50 inference(monotonicity,[status(thm)],[70])).
% 0.21/0.50 tff(72,plain,
% 0.21/0.50 ((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) | (~(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)))))),
% 0.21/0.50 inference(transitivity,[status(thm)],[71, 69])).
% 0.21/0.50 tff(73,plain,
% 0.21/0.50 (((~![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) | (~(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))))))),
% 0.21/0.50 inference(monotonicity,[status(thm)],[72])).
% 0.21/0.50 tff(74,plain,
% 0.21/0.50 (((~![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) | (~(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)))))),
% 0.21/0.50 inference(transitivity,[status(thm)],[73, 68])).
% 0.21/0.50 tff(75,plain,
% 0.21/0.50 ((~![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)))))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(76,plain,
% 0.21/0.50 ((~![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) | (~(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))))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.21/0.50 tff(77,plain,
% 0.21/0.50 (gt(n0, 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))))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[76, 67, 43])).
% 0.21/0.50 tff(78,plain,
% 0.21/0.50 (~(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)))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[77, 11])).
% 0.21/0.50 tff(79,assumption,(~(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)))), introduced(assumption)).
% 0.21/0.50 tff(80,plain,
% 0.21/0.50 ((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, tptp_fun_X1_7(n0)))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(81,plain,
% 0.21/0.50 (~gt(n0, tptp_fun_X1_7(n0))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[80, 79])).
% 0.21/0.50 tff(82,assumption,(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))), introduced(assumption)).
% 0.21/0.50 tff(83,plain,
% 0.21/0.50 (((~![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)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(84,plain,
% 0.21/0.50 ((~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))) | ((~releaselg(tptp_fun_X1_7(n0))) | gt(n0, tptp_fun_X1_7(n0)))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(85,plain,
% 0.21/0.50 ((~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))) | (~releaselg(tptp_fun_X1_7(n0))) | gt(n0, tptp_fun_X1_7(n0))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.21/0.50 tff(86,plain,
% 0.21/0.50 (~releaselg(tptp_fun_X1_7(n0))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[85, 82, 81])).
% 0.21/0.50 tff(87,plain,
% 0.21/0.50 ((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))) | (~uptakelg(tptp_fun_X1_7(n0)))),
% 0.21/0.50 inference(tautology,[status(thm)],[])).
% 0.21/0.50 tff(88,plain,
% 0.21/0.50 (~uptakelg(tptp_fun_X1_7(n0))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[87, 79])).
% 0.21/0.50 tff(89,plain,
% 0.21/0.50 (^[X0: $i, X1: $i] : refl((gt(X0, X1) | uptakelg(X1) | releaselg(X1)) <=> (gt(X0, X1) | uptakelg(X1) | releaselg(X1)))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(90,plain,
% 0.21/0.50 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1)) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[89])).
% 0.21/0.50 tff(91,plain,
% 0.21/0.50 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1)) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(92,plain,
% 0.21/0.50 (^[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))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(93,plain,
% 0.21/0.51 (![X0: $i, X1: $i] : ((~gt(X0, X1)) => ((~releaselg(X1)) => uptakelg(X1))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[92])).
% 0.21/0.51 tff(94,axiom,(![X0: $i, X1: $i] : ((~gt(X0, X1)) => ((~releaselg(X1)) => uptakelg(X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','uptake_completion')).
% 0.21/0.51 tff(95,plain,
% 0.21/0.51 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.21/0.51 tff(96,plain,
% 0.21/0.51 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[95, 91])).
% 0.21/0.51 tff(97,plain,(
% 0.21/0.51 ![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 0.21/0.51 inference(skolemize,[status(sab)],[96])).
% 0.21/0.51 tff(98,plain,
% 0.21/0.51 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[97, 90])).
% 0.21/0.51 tff(99,plain,
% 0.21/0.51 (((~![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)))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(100,plain,
% 0.21/0.51 ((~![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)))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(101,plain,
% 0.21/0.51 ((~![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)) | releaselg(tptp_fun_X1_7(n0))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.21/0.51 tff(102,plain,
% 0.21/0.51 ($false),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[101, 98, 81, 88, 86])).
% 0.21/0.51 tff(103,plain,((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))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.51 tff(104,plain,
% 0.21/0.51 (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[103, 78])).
% 0.21/0.51 tff(105,assumption,(![X1: $i] : (uptakepg(X1) | gt(n0, X1))), introduced(assumption)).
% 0.21/0.51 tff(106,plain,
% 0.21/0.51 ((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, tptp_fun_X1_6(n0)))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(107,plain,
% 0.21/0.51 (~gt(n0, tptp_fun_X1_6(n0))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[106, 79])).
% 0.21/0.51 tff(108,plain,
% 0.21/0.51 ((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)))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(109,plain,
% 0.21/0.51 (~uptakepg(tptp_fun_X1_6(n0))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[108, 79])).
% 0.21/0.51 tff(110,assumption,(~uptakepg(tptp_fun_X1_6(n0))), introduced(assumption)).
% 0.21/0.51 tff(111,assumption,(~gt(n0, tptp_fun_X1_6(n0))), introduced(assumption)).
% 0.21/0.51 tff(112,plain,
% 0.21/0.51 (((~![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)))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(113,plain,
% 0.21/0.51 ((~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(114,plain,
% 0.21/0.51 ((~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.21/0.51 tff(115,plain,
% 0.21/0.51 ($false),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[114, 105, 111, 110])).
% 0.21/0.51 tff(116,plain,((~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.51 tff(117,plain,
% 0.21/0.51 ($false),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[116, 109, 107, 105])).
% 0.21/0.51 tff(118,plain,((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))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.51 tff(119,plain,
% 0.21/0.51 (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[118, 78])).
% 0.21/0.51 tff(120,assumption,(~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))), introduced(assumption)).
% 0.21/0.51 tff(121,plain,
% 0.21/0.51 ((gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0))) | (~gt(n0, tptp_fun_X1_8(n0)))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(122,plain,
% 0.21/0.51 (~gt(n0, tptp_fun_X1_8(n0))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[121, 120])).
% 0.21/0.51 tff(123,plain,
% 0.21/0.51 ((gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0))) | (~conditionnormo(tptp_fun_X1_8(n0)))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(124,plain,
% 0.21/0.51 (~conditionnormo(tptp_fun_X1_8(n0))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[123, 120])).
% 0.21/0.51 tff(125,assumption,(~(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)))))), introduced(assumption)).
% 0.21/0.51 tff(126,plain,
% 0.21/0.51 ((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))))) | (bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0)))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(127,plain,
% 0.21/0.51 (bcapacityex(tptp_fun_X1_10(n0)) | bcapacityne(tptp_fun_X1_10(n0))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[126, 125])).
% 0.21/0.51 tff(128,plain,
% 0.21/0.51 ((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))))) | s2(tptp_fun_X1_10(n0))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(129,plain,
% 0.21/0.51 (s2(tptp_fun_X1_10(n0))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[128, 125])).
% 0.21/0.51 tff(130,plain,
% 0.21/0.51 ((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))))) | (~gt(n0, tptp_fun_X1_10(n0)))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(131,plain,
% 0.21/0.51 (~gt(n0, tptp_fun_X1_10(n0))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[130, 125])).
% 0.21/0.51 tff(132,plain,
% 0.21/0.51 (^[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)))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(133,plain,
% 0.21/0.51 (![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))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[132])).
% 0.21/0.51 tff(134,plain,
% 0.21/0.51 (^[X0: $i] : trans(monotonicity(rewrite((~(~gt(n0, X0))) <=> gt(n0, X0)), rewrite((~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) <=> (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))), (((~(~gt(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))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(135,plain,
% 0.21/0.51 (![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))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[134])).
% 0.21/0.51 tff(136,plain,
% 0.21/0.51 ((~?[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))))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(137,plain,
% 0.21/0.51 (~?[X0: $i] : ((~gt(n0, X0)) & s2(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)) & (bcapacityex(X0) | bcapacityne(X0)))),
% 0.21/0.51 inference(or_elim,[status(thm)],[15])).
% 0.21/0.51 tff(138,plain,
% 0.21/0.51 (~?[X0: $i] : ((~gt(n0, X0)) & s2(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)) & (bcapacityex(X0) | bcapacityne(X0)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[137, 136])).
% 0.21/0.51 tff(139,plain,
% 0.21/0.51 (~?[X0: $i] : ((~gt(n0, X0)) & s2(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)) & (bcapacityex(X0) | bcapacityne(X0)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[138, 136])).
% 0.21/0.51 tff(140,plain,
% 0.21/0.51 (~?[X0: $i] : ((~gt(n0, X0)) & s2(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)) & (bcapacityex(X0) | bcapacityne(X0)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[139, 136])).
% 0.21/0.51 tff(141,plain,
% 0.21/0.51 (~?[X0: $i] : ((~gt(n0, X0)) & s2(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)) & (bcapacityex(X0) | bcapacityne(X0)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[140, 136])).
% 0.21/0.51 tff(142,plain,
% 0.21/0.51 (~?[X0: $i] : ((~gt(n0, X0)) & s2(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)) & (bcapacityex(X0) | bcapacityne(X0)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[141, 136])).
% 0.21/0.51 tff(143,plain,
% 0.21/0.51 (~?[X0: $i] : ((~gt(n0, X0)) & s2(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)) & (bcapacityex(X0) | bcapacityne(X0)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[142, 136])).
% 0.21/0.51 tff(144,plain,
% 0.21/0.51 (^[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))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(145,plain,(
% 0.21/0.51 ![X0: $i] : ((~(~gt(n0, X0))) | (~s2(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))),
% 0.21/0.51 inference(nnf-neg,[status(sab)],[143, 144])).
% 0.21/0.51 tff(146,plain,
% 0.21/0.51 (![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[145, 135])).
% 0.21/0.51 tff(147,plain,
% 0.21/0.51 (![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[146, 133])).
% 0.21/0.51 tff(148,plain,
% 0.21/0.51 (((~![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))) | (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)))) | (~((~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))))) | 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)))) | (~((~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))))))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(149,plain,
% 0.21/0.51 (((~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))))) <=> (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)))) | (~((~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))))))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(150,plain,
% 0.21/0.51 ((~((~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)))))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(151,plain,
% 0.21/0.51 (((~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)))))),
% 0.21/0.51 inference(monotonicity,[status(thm)],[150])).
% 0.21/0.51 tff(152,plain,
% 0.21/0.51 (((~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))))) <=> (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)))) | (~((~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))))))),
% 0.21/0.51 inference(transitivity,[status(thm)],[151, 149])).
% 0.21/0.51 tff(153,plain,
% 0.21/0.51 (((~![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))))) | (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)))) | (~((~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)))))))),
% 0.21/0.51 inference(monotonicity,[status(thm)],[152])).
% 0.21/0.51 tff(154,plain,
% 0.21/0.51 (((~![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))))) | 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)))) | (~((~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))))))),
% 0.21/0.51 inference(transitivity,[status(thm)],[153, 148])).
% 0.21/0.51 tff(155,plain,
% 0.21/0.51 ((~![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)))))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(156,plain,
% 0.21/0.51 ((~![X0: $i] : ((~s2(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(bcapacityex(X0) | bcapacityne(X0))))) | 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)))) | (~((~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)))))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.21/0.51 tff(157,plain,
% 0.21/0.51 (~((~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))))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[156, 147, 131, 129, 127])).
% 0.21/0.51 tff(158,plain,
% 0.21/0.51 (((~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))))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(159,plain,
% 0.21/0.51 (~conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0)))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[158, 157])).
% 0.21/0.51 tff(160,plain,
% 0.21/0.51 (((~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)))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(161,plain,
% 0.21/0.51 (gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0)))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[160, 157])).
% 0.21/0.51 tff(162,plain,
% 0.21/0.51 ((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)))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(163,plain,
% 0.21/0.51 (![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[162, 125])).
% 0.21/0.51 tff(164,plain,
% 0.21/0.51 (((~![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)))))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(165,plain,
% 0.21/0.51 ((~![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)))))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(166,plain,
% 0.21/0.51 ((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_10(n0), X2)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_10(n0))) | (~gt(tptp_fun_X1_10(n0), tptp_fun_X1_4(tptp_fun_X1_10(n0))))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[165, 164])).
% 0.21/0.51 tff(167,plain,
% 0.21/0.51 ($false),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[166, 163, 161, 159])).
% 0.21/0.51 tff(168,plain,(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))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.52 tff(169,plain,
% 0.21/0.52 (^[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)))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(170,plain,
% 0.21/0.52 (![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)))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[169])).
% 0.21/0.52 tff(171,plain,
% 0.21/0.52 (^[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))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(172,plain,
% 0.21/0.52 (![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)))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[171])).
% 0.21/0.52 tff(173,plain,
% 0.21/0.52 (^[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))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(174,plain,
% 0.21/0.52 (![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)))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[173])).
% 0.21/0.52 tff(175,plain,
% 0.21/0.52 (![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)))))))),
% 0.21/0.52 inference(transitivity,[status(thm)],[174, 172])).
% 0.21/0.52 tff(176,plain,
% 0.21/0.52 (^[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)))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(177,plain,
% 0.21/0.52 (![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)))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[176])).
% 0.21/0.52 tff(178,plain,
% 0.21/0.52 (^[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)))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(179,plain,
% 0.21/0.52 (![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)))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[178])).
% 0.21/0.52 tff(180,plain,
% 0.21/0.52 (![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))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(181,plain,
% 0.21/0.52 (^[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))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(182,plain,
% 0.21/0.52 (![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))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[181])).
% 0.21/0.52 tff(183,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')).
% 0.21/0.52 tff(184,plain,
% 0.21/0.52 (![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))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.21/0.52 tff(185,plain,
% 0.21/0.52 (![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))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[184, 180])).
% 0.21/0.52 tff(186,plain,(
% 0.21/0.52 ![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)))))),
% 0.21/0.52 inference(skolemize,[status(sab)],[185])).
% 0.21/0.52 tff(187,plain,
% 0.21/0.52 (![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)))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[186, 179])).
% 0.21/0.52 tff(188,plain,
% 0.21/0.52 (![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)))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[187, 177])).
% 0.21/0.52 tff(189,plain,
% 0.21/0.52 (![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)))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[188, 175])).
% 0.21/0.52 tff(190,plain,
% 0.21/0.52 (![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)))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[189, 170])).
% 0.21/0.52 tff(191,plain,
% 0.21/0.52 (((~![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)) | (~(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)))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))) <=> ((~![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)) | (~(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)))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(192,plain,
% 0.21/0.52 (((~s1(n0)) | ![X1: $i] : (conditionnormo(X1) | gt(n0, 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)) | (~(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)))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(193,plain,
% 0.21/0.52 ((~(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)))))) <=> (~(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))))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(194,plain,
% 0.21/0.53 (^[X1: $i] : rewrite((gt(n0, X1) | conditionnormo(X1)) <=> (conditionnormo(X1) | gt(n0, X1)))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(195,plain,
% 0.21/0.53 (![X1: $i] : (gt(n0, X1) | conditionnormo(X1)) <=> ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[194])).
% 0.21/0.53 tff(196,plain,
% 0.21/0.53 (((~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)) | (~(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)))))))),
% 0.21/0.53 inference(monotonicity,[status(thm)],[195, 193])).
% 0.21/0.53 tff(197,plain,
% 0.21/0.53 (((~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)) | (~(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)))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))),
% 0.21/0.53 inference(transitivity,[status(thm)],[196, 192])).
% 0.21/0.53 tff(198,plain,
% 0.21/0.53 (((~![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)) | (~(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)))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))))),
% 0.21/0.53 inference(monotonicity,[status(thm)],[197])).
% 0.21/0.53 tff(199,plain,
% 0.21/0.53 (((~![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)) | (~(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)))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))),
% 0.21/0.53 inference(transitivity,[status(thm)],[198, 191])).
% 0.21/0.53 tff(200,plain,
% 0.21/0.53 ((~![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)))))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(201,plain,
% 0.21/0.53 ((~![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)) | (~(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)))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[200, 199])).
% 0.21/0.53 tff(202,plain,
% 0.21/0.53 ((~(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)))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[201, 190, 18])).
% 0.21/0.53 tff(203,plain,
% 0.21/0.53 (![X1: $i] : (conditionnormo(X1) | gt(n0, X1))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[202, 168])).
% 0.21/0.53 tff(204,assumption,(~conditionnormo(tptp_fun_X1_8(n0))), introduced(assumption)).
% 0.21/0.53 tff(205,assumption,(~gt(n0, tptp_fun_X1_8(n0))), introduced(assumption)).
% 0.21/0.53 tff(206,plain,
% 0.21/0.53 (((~![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)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(207,plain,
% 0.21/0.53 ((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | (conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(208,plain,
% 0.21/0.53 ((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.21/0.53 tff(209,plain,
% 0.21/0.53 ($false),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[208, 205, 204, 203])).
% 0.21/0.53 tff(210,plain,(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.53 tff(211,plain,
% 0.21/0.53 ($false),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[210, 124, 122])).
% 0.21/0.53 tff(212,plain,(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.53 tff(213,assumption,(~![X1: $i] : (uptakepg(X1) | gt(n0, X1))), introduced(assumption)).
% 0.21/0.53 tff(214,plain,
% 0.21/0.53 (((~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))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(215,plain,
% 0.21/0.53 ((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[214, 213])).
% 0.21/0.53 tff(216,assumption,(~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))), introduced(assumption)).
% 0.21/0.53 tff(217,plain,
% 0.21/0.53 ((~(![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))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(218,plain,
% 0.21/0.53 (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[217, 213, 216])).
% 0.21/0.53 tff(219,plain,
% 0.21/0.53 (((~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)))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(220,plain,
% 0.21/0.53 ((~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))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[219, 218])).
% 0.21/0.53 tff(221,plain,
% 0.21/0.53 ((~bcapacitysn(n0)) <=> (~bcapacitysn(n0))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(222,plain,
% 0.21/0.53 (~bcapacitysn(n0)),
% 0.21/0.53 inference(and_elim,[status(thm)],[16])).
% 0.21/0.53 tff(223,plain,
% 0.21/0.53 (~bcapacitysn(n0)),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[222, 221])).
% 0.21/0.53 tff(224,plain,
% 0.21/0.53 (((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))) | bcapacitysn(n0)),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(225,plain,
% 0.21/0.53 ((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[224, 223])).
% 0.21/0.53 tff(226,plain,
% 0.21/0.53 (((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1))))) | bcapacitysn(n0)),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(227,plain,
% 0.21/0.53 ((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[226, 223])).
% 0.21/0.53 tff(228,plain,
% 0.21/0.53 (^[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)))))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(229,plain,
% 0.21/0.54 (![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)))))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[228])).
% 0.21/0.54 tff(230,plain,
% 0.21/0.54 (^[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)))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(231,plain,
% 0.21/0.54 (![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))))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[230])).
% 0.21/0.54 tff(232,plain,
% 0.21/0.54 (^[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)))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(233,plain,
% 0.21/0.54 (![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))))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[232])).
% 0.21/0.54 tff(234,plain,
% 0.21/0.54 (![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))))))),
% 0.21/0.54 inference(transitivity,[status(thm)],[233, 231])).
% 0.21/0.54 tff(235,plain,
% 0.21/0.54 (^[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))))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(236,plain,
% 0.21/0.54 (![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))))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[235])).
% 0.21/0.54 tff(237,plain,
% 0.21/0.54 (![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))))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(238,plain,
% 0.21/0.55 (^[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))))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(239,plain,
% 0.21/0.56 (![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))))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[238])).
% 0.21/0.56 tff(240,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')).
% 0.21/0.56 tff(241,plain,
% 0.21/0.56 (![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))))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[240, 239])).
% 0.21/0.56 tff(242,plain,
% 0.21/0.56 (![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))))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[241, 237])).
% 0.21/0.56 tff(243,plain,(
% 0.21/0.56 ![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)))))),
% 0.21/0.56 inference(skolemize,[status(sab)],[242])).
% 0.21/0.56 tff(244,plain,
% 0.21/0.56 (![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))))))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[243, 236])).
% 0.21/0.56 tff(245,plain,
% 0.21/0.56 (![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))))))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[244, 234])).
% 0.21/0.56 tff(246,plain,
% 0.21/0.56 (![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)))))))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[245, 229])).
% 0.21/0.56 tff(247,plain,
% 0.21/0.56 (((~![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] : (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)))))))) | (~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(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))))))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(248,plain,
% 0.21/0.56 (((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(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)))))) <=> ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(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))))))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(249,plain,
% 0.21/0.56 ((~((~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)))))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(250,plain,
% 0.21/0.56 ((~((~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)))))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(251,plain,
% 0.21/0.56 ((~((~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))))))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(252,plain,
% 0.21/0.56 ((~((~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))))))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(253,plain,
% 0.21/0.56 ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) <=> (~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0))))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(254,plain,
% 0.21/0.56 (((~(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))))))) <=> ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(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))))))),
% 0.21/0.56 inference(monotonicity,[status(thm)],[253, 252, 251, 250, 249])).
% 0.21/0.56 tff(255,plain,
% 0.21/0.56 (((~(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))))))) <=> ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(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))))))),
% 0.21/0.57 inference(transitivity,[status(thm)],[254, 248])).
% 0.21/0.57 tff(256,plain,
% 0.21/0.57 (((~![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)))))))) | ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(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)))))))),
% 0.47/0.57 inference(monotonicity,[status(thm)],[255])).
% 0.47/0.57 tff(257,plain,
% 0.47/0.57 (((~![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)))))))) | (~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(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))))))),
% 0.47/0.57 inference(transitivity,[status(thm)],[256, 247])).
% 0.47/0.57 tff(258,plain,
% 0.47/0.57 ((~![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)))))))),
% 0.47/0.58 inference(quant_inst,[status(thm)],[])).
% 0.47/0.58 tff(259,plain,
% 0.47/0.58 ((~![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] : (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)))))),
% 0.47/0.58 inference(modus_ponens,[status(thm)],[258, 257])).
% 0.47/0.58 tff(260,plain,
% 0.47/0.58 ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(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: $i] : (uptakelg(X1) | gt(n0, X1)))))),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[259, 246, 227, 225])).
% 0.47/0.58 tff(261,plain,
% 0.47/0.58 ($false),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[260, 220, 215, 212])).
% 0.47/0.58 tff(262,plain,(![X1: $i] : (uptakepg(X1) | gt(n0, X1)) | ![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))), inference(lemma,lemma(discharge,[]))).
% 0.47/0.58 tff(263,plain,
% 0.47/0.58 ($false),
% 0.47/0.58 inference(unit_resolution,[status(thm)],[262, 119, 104])).
% 0.47/0.58 % SZS output end Proof
%------------------------------------------------------------------------------