TSTP Solution File: MED005+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MED005+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 05:08:12 EDT 2022
% Result : Theorem 0.21s 0.44s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MED005+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Sep 2 02:55:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.36 Usage: tptp [options] [-file:]file
% 0.13/0.36 -h, -? prints this message.
% 0.13/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.36 -m, -model generate model.
% 0.13/0.36 -p, -proof generate proof.
% 0.13/0.36 -c, -core generate unsat core of named formulas.
% 0.13/0.36 -st, -statistics display statistics.
% 0.13/0.36 -t:timeout set timeout (in second).
% 0.13/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.36 -<param>:<value> configuration parameter and value.
% 0.13/0.36 -o:<output-file> file to place output in.
% 0.21/0.44 % SZS status Theorem
% 0.21/0.44 % SZS output start Proof
% 0.21/0.44 tff(gt_type, type, (
% 0.21/0.44 gt: ( $i * $i ) > $o)).
% 0.21/0.44 tff(n0_type, type, (
% 0.21/0.44 n0: $i)).
% 0.21/0.44 tff(releaselg_type, type, (
% 0.21/0.44 releaselg: $i > $o)).
% 0.21/0.44 tff(conditionhyper_type, type, (
% 0.21/0.44 conditionhyper: $i > $o)).
% 0.21/0.44 tff(bcapacitysn_type, type, (
% 0.21/0.44 bcapacitysn: $i > $o)).
% 0.21/0.44 tff(qilt27_type, type, (
% 0.21/0.44 qilt27: $i > $o)).
% 0.21/0.44 tff(tptp_fun_X1_5_type, type, (
% 0.21/0.44 tptp_fun_X1_5: $i > $i)).
% 0.21/0.44 tff(drugbg_type, type, (
% 0.21/0.44 drugbg: $i > $o)).
% 0.21/0.44 tff(s1_type, type, (
% 0.21/0.44 s1: $i > $o)).
% 0.21/0.44 tff(s0_type, type, (
% 0.21/0.44 s0: $i > $o)).
% 0.21/0.44 tff(s2_type, type, (
% 0.21/0.44 s2: $i > $o)).
% 0.21/0.44 tff(s3_type, type, (
% 0.21/0.44 s3: $i > $o)).
% 0.21/0.44 tff(uptakelg_type, type, (
% 0.21/0.44 uptakelg: $i > $o)).
% 0.21/0.44 tff(uptakepg_type, type, (
% 0.21/0.44 uptakepg: $i > $o)).
% 0.21/0.44 tff(bcapacityex_type, type, (
% 0.21/0.44 bcapacityex: $i > $o)).
% 0.21/0.44 tff(bsecretioni_type, type, (
% 0.21/0.44 bsecretioni: $i > $o)).
% 0.21/0.44 tff(bcapacityne_type, type, (
% 0.21/0.44 bcapacityne: $i > $o)).
% 0.21/0.44 tff(tptp_fun_X1_3_type, type, (
% 0.21/0.44 tptp_fun_X1_3: $i > $i)).
% 0.21/0.44 tff(drugsu_type, type, (
% 0.21/0.44 drugsu: $i > $o)).
% 0.21/0.44 tff(qillt27_type, type, (
% 0.21/0.44 qillt27: $i > $o)).
% 0.21/0.44 tff(conditionnormo_type, type, (
% 0.21/0.44 conditionnormo: $i > $o)).
% 0.21/0.44 tff(tptp_fun_X1_8_type, type, (
% 0.21/0.44 tptp_fun_X1_8: $i > $i)).
% 0.21/0.44 tff(tptp_fun_X1_9_type, type, (
% 0.21/0.44 tptp_fun_X1_9: $i > $i)).
% 0.21/0.44 tff(tptp_fun_X1_4_type, type, (
% 0.21/0.44 tptp_fun_X1_4: $i > $i)).
% 0.21/0.44 tff(1,assumption,(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))), introduced(assumption)).
% 0.21/0.44 tff(2,assumption,(gt(n0, n0)), introduced(assumption)).
% 0.21/0.44 tff(3,plain,
% 0.21/0.44 (^[X: $i] : refl((~gt(X, X)) <=> (~gt(X, X)))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(4,plain,
% 0.21/0.44 (![X: $i] : (~gt(X, X)) <=> ![X: $i] : (~gt(X, X))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[3])).
% 0.21/0.44 tff(5,plain,
% 0.21/0.44 (![X: $i] : (~gt(X, X)) <=> ![X: $i] : (~gt(X, X))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(6,axiom,(![X: $i] : (~gt(X, X))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax','irreflexivity_gt')).
% 0.21/0.44 tff(7,plain,
% 0.21/0.44 (![X: $i] : (~gt(X, X))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.21/0.44 tff(8,plain,(
% 0.21/0.44 ![X: $i] : (~gt(X, X))),
% 0.21/0.44 inference(skolemize,[status(sab)],[7])).
% 0.21/0.44 tff(9,plain,
% 0.21/0.44 (![X: $i] : (~gt(X, X))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.21/0.44 tff(10,plain,
% 0.21/0.44 ((~![X: $i] : (~gt(X, X))) | (~gt(n0, n0))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(11,plain,
% 0.21/0.44 ($false),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[10, 9, 2])).
% 0.21/0.44 tff(12,plain,(~gt(n0, n0)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.44 tff(13,plain,
% 0.21/0.44 (s0(n0) <=> s0(n0)),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(14,plain,
% 0.21/0.44 ((~((s0(n0) & ![X0: $i] : (gt(n0, X0) => conditionhyper(X0))) => ?[X0: $i] : (((~gt(n0, X0)) & s1(X0)) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1))))) <=> (~((~(s0(n0) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))))) | ?[X0: $i] : ((~gt(n0, X0)) & s1(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(15,axiom,(~((s0(n0) & ![X0: $i] : (gt(n0, X0) => conditionhyper(X0))) => ?[X0: $i] : (((~gt(n0, X0)) & s1(X0)) & ![X1: $i] : (gt(X0, X1) => conditionhyper(X1))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','transs0s1')).
% 0.21/0.44 tff(16,plain,
% 0.21/0.44 (~((~(s0(n0) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))))) | ?[X0: $i] : ((~gt(n0, X0)) & s1(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.21/0.44 tff(17,plain,
% 0.21/0.44 (s0(n0) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.21/0.44 inference(or_elim,[status(thm)],[16])).
% 0.21/0.44 tff(18,plain,
% 0.21/0.44 (s0(n0)),
% 0.21/0.44 inference(and_elim,[status(thm)],[17])).
% 0.21/0.44 tff(19,plain,
% 0.21/0.44 (s0(n0)),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[18, 13])).
% 0.21/0.44 tff(20,plain,
% 0.21/0.44 (^[X0: $i] : refl(((~s0(X0)) | (~s1(X0))) <=> ((~s0(X0)) | (~s1(X0))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(21,plain,
% 0.21/0.44 (![X0: $i] : ((~s0(X0)) | (~s1(X0))) <=> ![X0: $i] : ((~s0(X0)) | (~s1(X0)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[20])).
% 0.21/0.44 tff(22,plain,
% 0.21/0.44 (![X0: $i] : ((~s0(X0)) | (~s1(X0))) <=> ![X0: $i] : ((~s0(X0)) | (~s1(X0)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(23,axiom,(![X0: $i] : ((~s0(X0)) | (~s1(X0)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','xorstep2')).
% 0.21/0.44 tff(24,plain,
% 0.21/0.44 (![X0: $i] : ((~s0(X0)) | (~s1(X0)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.21/0.44 tff(25,plain,(
% 0.21/0.44 ![X0: $i] : ((~s0(X0)) | (~s1(X0)))),
% 0.21/0.44 inference(skolemize,[status(sab)],[24])).
% 0.21/0.44 tff(26,plain,
% 0.21/0.44 (![X0: $i] : ((~s0(X0)) | (~s1(X0)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[25, 21])).
% 0.21/0.44 tff(27,plain,
% 0.21/0.44 (((~![X0: $i] : ((~s0(X0)) | (~s1(X0)))) | ((~s0(n0)) | (~s1(n0)))) <=> ((~![X0: $i] : ((~s0(X0)) | (~s1(X0)))) | (~s0(n0)) | (~s1(n0)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(28,plain,
% 0.21/0.44 ((~![X0: $i] : ((~s0(X0)) | (~s1(X0)))) | ((~s0(n0)) | (~s1(n0)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(29,plain,
% 0.21/0.44 ((~![X0: $i] : ((~s0(X0)) | (~s1(X0)))) | (~s0(n0)) | (~s1(n0))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.21/0.44 tff(30,plain,
% 0.21/0.44 (~s1(n0)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[29, 26, 19])).
% 0.21/0.44 tff(31,plain,
% 0.21/0.44 ((qilt27(n0) | (~s1(n0))) | s1(n0)),
% 0.21/0.44 inference(tautology,[status(thm)],[])).
% 0.21/0.44 tff(32,plain,
% 0.21/0.44 (qilt27(n0) | (~s1(n0))),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[31, 30])).
% 0.21/0.44 tff(33,plain,
% 0.21/0.44 (^[X0: $i] : refl(((~s0(X0)) | (~s2(X0))) <=> ((~s0(X0)) | (~s2(X0))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(34,plain,
% 0.21/0.44 (![X0: $i] : ((~s0(X0)) | (~s2(X0))) <=> ![X0: $i] : ((~s0(X0)) | (~s2(X0)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[33])).
% 0.21/0.44 tff(35,plain,
% 0.21/0.44 (![X0: $i] : ((~s0(X0)) | (~s2(X0))) <=> ![X0: $i] : ((~s0(X0)) | (~s2(X0)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(36,axiom,(![X0: $i] : ((~s0(X0)) | (~s2(X0)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','xorstep3')).
% 0.21/0.44 tff(37,plain,
% 0.21/0.44 (![X0: $i] : ((~s0(X0)) | (~s2(X0)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.21/0.44 tff(38,plain,(
% 0.21/0.44 ![X0: $i] : ((~s0(X0)) | (~s2(X0)))),
% 0.21/0.44 inference(skolemize,[status(sab)],[37])).
% 0.21/0.44 tff(39,plain,
% 0.21/0.44 (![X0: $i] : ((~s0(X0)) | (~s2(X0)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[38, 34])).
% 0.21/0.44 tff(40,plain,
% 0.21/0.44 (((~![X0: $i] : ((~s0(X0)) | (~s2(X0)))) | ((~s0(n0)) | (~s2(n0)))) <=> ((~![X0: $i] : ((~s0(X0)) | (~s2(X0)))) | (~s0(n0)) | (~s2(n0)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(41,plain,
% 0.21/0.44 ((~![X0: $i] : ((~s0(X0)) | (~s2(X0)))) | ((~s0(n0)) | (~s2(n0)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(42,plain,
% 0.21/0.44 ((~![X0: $i] : ((~s0(X0)) | (~s2(X0)))) | (~s0(n0)) | (~s2(n0))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.21/0.44 tff(43,plain,
% 0.21/0.44 (~s2(n0)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[42, 39, 19])).
% 0.21/0.44 tff(44,plain,
% 0.21/0.44 (^[X0: $i] : refl(((~s0(X0)) | (~s3(X0))) <=> ((~s0(X0)) | (~s3(X0))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(45,plain,
% 0.21/0.44 (![X0: $i] : ((~s0(X0)) | (~s3(X0))) <=> ![X0: $i] : ((~s0(X0)) | (~s3(X0)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[44])).
% 0.21/0.44 tff(46,plain,
% 0.21/0.44 (![X0: $i] : ((~s0(X0)) | (~s3(X0))) <=> ![X0: $i] : ((~s0(X0)) | (~s3(X0)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(47,axiom,(![X0: $i] : ((~s0(X0)) | (~s3(X0)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','xorstep4')).
% 0.21/0.44 tff(48,plain,
% 0.21/0.44 (![X0: $i] : ((~s0(X0)) | (~s3(X0)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.21/0.44 tff(49,plain,(
% 0.21/0.44 ![X0: $i] : ((~s0(X0)) | (~s3(X0)))),
% 0.21/0.44 inference(skolemize,[status(sab)],[48])).
% 0.21/0.44 tff(50,plain,
% 0.21/0.44 (![X0: $i] : ((~s0(X0)) | (~s3(X0)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[49, 45])).
% 0.21/0.44 tff(51,plain,
% 0.21/0.44 (((~![X0: $i] : ((~s0(X0)) | (~s3(X0)))) | ((~s0(n0)) | (~s3(n0)))) <=> ((~![X0: $i] : ((~s0(X0)) | (~s3(X0)))) | (~s0(n0)) | (~s3(n0)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(52,plain,
% 0.21/0.44 ((~![X0: $i] : ((~s0(X0)) | (~s3(X0)))) | ((~s0(n0)) | (~s3(n0)))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(53,plain,
% 0.21/0.44 ((~![X0: $i] : ((~s0(X0)) | (~s3(X0)))) | (~s0(n0)) | (~s3(n0))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.21/0.44 tff(54,plain,
% 0.21/0.44 (~s3(n0)),
% 0.21/0.44 inference(unit_resolution,[status(thm)],[53, 50, 19])).
% 0.21/0.44 tff(55,plain,
% 0.21/0.44 (^[X0: $i] : refl((s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0))))) <=> (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0))))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(56,plain,
% 0.21/0.44 (![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0))))) <=> ![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[55])).
% 0.21/0.44 tff(57,plain,
% 0.21/0.44 (^[X0: $i] : trans(monotonicity(rewrite((s1(X0) & (~qilt27(X0))) <=> (~(qilt27(X0) | (~s1(X0))))), ((s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0))) <=> (s2(X0) | s3(X0) | (~(qilt27(X0) | (~s1(X0)))) | (~drugbg(X0))))), rewrite((s2(X0) | s3(X0) | (~(qilt27(X0) | (~s1(X0)))) | (~drugbg(X0))) <=> (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))), ((s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0))) <=> (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(58,plain,
% 0.21/0.44 (![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0))) <=> ![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[57])).
% 0.21/0.44 tff(59,plain,
% 0.21/0.44 (![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0))) <=> ![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(60,plain,
% 0.21/0.44 (^[X0: $i] : trans(monotonicity(trans(monotonicity(rewrite(((s1(X0) & (~qilt27(X0))) | s2(X0)) <=> (s2(X0) | (s1(X0) & (~qilt27(X0))))), ((((s1(X0) & (~qilt27(X0))) | s2(X0)) | s3(X0)) <=> ((s2(X0) | (s1(X0) & (~qilt27(X0)))) | s3(X0)))), rewrite(((s2(X0) | (s1(X0) & (~qilt27(X0)))) | s3(X0)) <=> (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))))), ((((s1(X0) & (~qilt27(X0))) | s2(X0)) | s3(X0)) <=> (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0)))))), ((drugbg(X0) => (((s1(X0) & (~qilt27(X0))) | s2(X0)) | s3(X0))) <=> (drugbg(X0) => (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))))))), rewrite((drugbg(X0) => (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))))) <=> (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))), ((drugbg(X0) => (((s1(X0) & (~qilt27(X0))) | s2(X0)) | s3(X0))) <=> (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))))),
% 0.21/0.44 inference(bind,[status(th)],[])).
% 0.21/0.44 tff(61,plain,
% 0.21/0.44 (![X0: $i] : (drugbg(X0) => (((s1(X0) & (~qilt27(X0))) | s2(X0)) | s3(X0))) <=> ![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))),
% 0.21/0.44 inference(quant_intro,[status(thm)],[60])).
% 0.21/0.44 tff(62,axiom,(![X0: $i] : (drugbg(X0) => (((s1(X0) & (~qilt27(X0))) | s2(X0)) | s3(X0)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','bgcomp')).
% 0.21/0.44 tff(63,plain,
% 0.21/0.44 (![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.21/0.44 tff(64,plain,
% 0.21/0.44 (![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[63, 59])).
% 0.21/0.44 tff(65,plain,(
% 0.21/0.44 ![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))),
% 0.21/0.44 inference(skolemize,[status(sab)],[64])).
% 0.21/0.44 tff(66,plain,
% 0.21/0.44 (![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[65, 58])).
% 0.21/0.44 tff(67,plain,
% 0.21/0.44 (![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[66, 56])).
% 0.21/0.44 tff(68,plain,
% 0.21/0.44 (((~![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))) | (s2(n0) | s3(n0) | (~drugbg(n0)) | (~(qilt27(n0) | (~s1(n0)))))) <=> ((~![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))) | s2(n0) | s3(n0) | (~drugbg(n0)) | (~(qilt27(n0) | (~s1(n0)))))),
% 0.21/0.44 inference(rewrite,[status(thm)],[])).
% 0.21/0.44 tff(69,plain,
% 0.21/0.44 ((~![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))) | (s2(n0) | s3(n0) | (~drugbg(n0)) | (~(qilt27(n0) | (~s1(n0)))))),
% 0.21/0.44 inference(quant_inst,[status(thm)],[])).
% 0.21/0.44 tff(70,plain,
% 0.21/0.44 ((~![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))) | s2(n0) | s3(n0) | (~drugbg(n0)) | (~(qilt27(n0) | (~s1(n0))))),
% 0.21/0.44 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.21/0.45 tff(71,plain,
% 0.21/0.45 (~drugbg(n0)),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[70, 67, 54, 43, 32])).
% 0.21/0.45 tff(72,plain,
% 0.21/0.45 (^[X0: $i, X1: $i] : trans(monotonicity(rewrite((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) <=> (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0)))))), rewrite((gt(X0, X1) | drugbg(X1)) <=> (gt(X0, X1) | drugbg(X1))), (((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1))) <=> ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1))))), rewrite(((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1))) <=> (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))), (((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1))) <=> (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(73,plain,
% 0.21/0.45 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[72])).
% 0.21/0.45 tff(74,plain,
% 0.21/0.45 (^[X0: $i, X1: $i] : refl(((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1))) <=> ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(75,plain,
% 0.21/0.45 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1)))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[74])).
% 0.21/0.45 tff(76,plain,
% 0.21/0.45 (![X0: $i] : ![X1: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1)))),
% 0.21/0.45 inference(pull_quant,[status(thm)],[])).
% 0.21/0.45 tff(77,plain,
% 0.21/0.45 (^[X0: $i] : pull_quant(((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1))) <=> ![X1: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(78,plain,
% 0.21/0.45 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1))) <=> ![X0: $i] : ![X1: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1)))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[77])).
% 0.21/0.45 tff(79,plain,
% 0.21/0.45 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1)))),
% 0.21/0.45 inference(transitivity,[status(thm)],[78, 76])).
% 0.21/0.45 tff(80,plain,
% 0.21/0.45 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1)))),
% 0.21/0.45 inference(transitivity,[status(thm)],[79, 75])).
% 0.21/0.45 tff(81,plain,
% 0.21/0.45 (^[X0: $i] : rewrite(((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1))) <=> ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(82,plain,
% 0.21/0.45 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1)))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[81])).
% 0.21/0.45 tff(83,plain,
% 0.21/0.45 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1)))),
% 0.21/0.45 inference(transitivity,[status(thm)],[82, 80])).
% 0.21/0.45 tff(84,plain,
% 0.21/0.45 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1))) <=> ![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(85,plain,
% 0.21/0.45 (^[X0: $i] : trans(monotonicity(quant_intro(proof_bind(^[X1: $i] : rewrite(((~gt(X0, X1)) => (~releaselg(X1))) <=> (gt(X0, X1) | (~releaselg(X1))))), (![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))) <=> ![X1: $i] : (gt(X0, X1) | (~releaselg(X1))))), quant_intro(proof_bind(^[X1: $i] : rewrite(((~gt(X0, X1)) => drugbg(X1)) <=> (gt(X0, X1) | drugbg(X1)))), (![X1: $i] : ((~gt(X0, X1)) => drugbg(X1)) <=> ![X1: $i] : (gt(X0, X1) | drugbg(X1)))), ((![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))) => ![X1: $i] : ((~gt(X0, X1)) => drugbg(X1))) <=> (![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) => ![X1: $i] : (gt(X0, X1) | drugbg(X1))))), rewrite((![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) => ![X1: $i] : (gt(X0, X1) | drugbg(X1))) <=> ((~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1)))), ((![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))) => ![X1: $i] : ((~gt(X0, X1)) => drugbg(X1))) <=> ((~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1)))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(86,plain,
% 0.21/0.45 (![X0: $i] : (![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))) => ![X1: $i] : ((~gt(X0, X1)) => drugbg(X1))) <=> ![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1)))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[85])).
% 0.21/0.45 tff(87,axiom,(![X0: $i] : (![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))) => ![X1: $i] : ((~gt(X0, X1)) => drugbg(X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','bg_completion')).
% 0.21/0.45 tff(88,plain,
% 0.21/0.45 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.21/0.45 tff(89,plain,
% 0.21/0.45 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[88, 84])).
% 0.21/0.45 tff(90,plain,(
% 0.21/0.45 ![X0: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1)))),
% 0.21/0.45 inference(skolemize,[status(sab)],[89])).
% 0.21/0.45 tff(91,plain,
% 0.21/0.45 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[90, 83])).
% 0.21/0.45 tff(92,plain,
% 0.21/0.45 (![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[91, 73])).
% 0.21/0.45 tff(93,plain,
% 0.21/0.45 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | (drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, n0))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, n0))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(94,plain,
% 0.21/0.45 ((gt(n0, n0) | drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0))))) <=> (drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, n0))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(95,plain,
% 0.21/0.45 ((~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))) <=> (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(96,plain,
% 0.21/0.45 ((gt(n0, n0) | drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0)))))) <=> (gt(n0, n0) | drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[95])).
% 0.21/0.45 tff(97,plain,
% 0.21/0.45 ((gt(n0, n0) | drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0)))))) <=> (drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, n0))),
% 0.21/0.45 inference(transitivity,[status(thm)],[96, 94])).
% 0.21/0.45 tff(98,plain,
% 0.21/0.45 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | (gt(n0, n0) | drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | (drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, n0)))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[97])).
% 0.21/0.45 tff(99,plain,
% 0.21/0.45 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | (gt(n0, n0) | drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, n0))),
% 0.21/0.45 inference(transitivity,[status(thm)],[98, 93])).
% 0.21/0.45 tff(100,plain,
% 0.21/0.45 ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | (gt(n0, n0) | drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(101,plain,
% 0.21/0.45 ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, n0)),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.21/0.45 tff(102,plain,
% 0.21/0.45 ((~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, n0)),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[101, 92, 71])).
% 0.21/0.45 tff(103,plain,
% 0.21/0.45 (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[102, 12])).
% 0.21/0.45 tff(104,plain,
% 0.21/0.45 (((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0))) | (~gt(n0, tptp_fun_X1_5(n0)))),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(105,plain,
% 0.21/0.45 (~gt(n0, tptp_fun_X1_5(n0))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[104, 103])).
% 0.21/0.45 tff(106,plain,
% 0.21/0.45 (((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0))) | releaselg(tptp_fun_X1_5(n0))),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(107,plain,
% 0.21/0.45 (releaselg(tptp_fun_X1_5(n0))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[106, 103])).
% 0.21/0.45 tff(108,plain,
% 0.21/0.45 (((~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))) | ((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) <=> ((~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(109,plain,
% 0.21/0.45 ((~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))) | ((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(110,plain,
% 0.21/0.45 ((~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[109, 108])).
% 0.21/0.45 tff(111,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[110, 107, 105, 1])).
% 0.21/0.45 tff(112,plain,(~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(113,plain,
% 0.21/0.45 ((qilt27(n0) | (~bcapacitysn(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))) | ![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(114,plain,
% 0.21/0.45 (qilt27(n0) | (~bcapacitysn(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[113, 112])).
% 0.21/0.45 tff(115,assumption,(![X1: $i] : (uptakelg(X1) | gt(n0, X1))), introduced(assumption)).
% 0.21/0.45 tff(116,plain,
% 0.21/0.45 (^[X0: $i, X1: $i] : refl((gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1))) <=> (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(117,plain,
% 0.21/0.45 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[116])).
% 0.21/0.45 tff(118,plain,
% 0.21/0.45 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(119,plain,
% 0.21/0.45 (^[X0: $i, X1: $i] : trans(monotonicity(rewrite((uptakelg(X1) => (~releaselg(X1))) <=> ((~releaselg(X1)) | (~uptakelg(X1)))), (((~gt(X0, X1)) => (uptakelg(X1) => (~releaselg(X1)))) <=> ((~gt(X0, X1)) => ((~releaselg(X1)) | (~uptakelg(X1)))))), rewrite(((~gt(X0, X1)) => ((~releaselg(X1)) | (~uptakelg(X1)))) <=> (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))), (((~gt(X0, X1)) => (uptakelg(X1) => (~releaselg(X1)))) <=> (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(120,plain,
% 0.21/0.45 (![X0: $i, X1: $i] : ((~gt(X0, X1)) => (uptakelg(X1) => (~releaselg(X1)))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[119])).
% 0.21/0.45 tff(121,axiom,(![X0: $i, X1: $i] : ((~gt(X0, X1)) => (uptakelg(X1) => (~releaselg(X1))))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax','liver_glucose')).
% 0.21/0.45 tff(122,plain,
% 0.21/0.45 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.21/0.45 tff(123,plain,
% 0.21/0.45 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[122, 118])).
% 0.21/0.45 tff(124,plain,(
% 0.21/0.45 ![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 0.21/0.45 inference(skolemize,[status(sab)],[123])).
% 0.21/0.45 tff(125,plain,
% 0.21/0.45 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[124, 117])).
% 0.21/0.45 tff(126,plain,
% 0.21/0.45 (((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))) | ((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)) | (~uptakelg(tptp_fun_X1_5(n0))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)) | (~uptakelg(tptp_fun_X1_5(n0))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(127,plain,
% 0.21/0.45 ((gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | (~uptakelg(tptp_fun_X1_5(n0)))) <=> ((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)) | (~uptakelg(tptp_fun_X1_5(n0))))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(128,plain,
% 0.21/0.45 (((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))) | (gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | (~uptakelg(tptp_fun_X1_5(n0))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))) | ((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)) | (~uptakelg(tptp_fun_X1_5(n0)))))),
% 0.21/0.45 inference(monotonicity,[status(thm)],[127])).
% 0.21/0.45 tff(129,plain,
% 0.21/0.45 (((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))) | (gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | (~uptakelg(tptp_fun_X1_5(n0))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)) | (~uptakelg(tptp_fun_X1_5(n0))))),
% 0.21/0.45 inference(transitivity,[status(thm)],[128, 126])).
% 0.21/0.45 tff(130,plain,
% 0.21/0.45 ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))) | (gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | (~uptakelg(tptp_fun_X1_5(n0))))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(131,plain,
% 0.21/0.45 ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)) | (~uptakelg(tptp_fun_X1_5(n0)))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.21/0.45 tff(132,plain,
% 0.21/0.45 (~uptakelg(tptp_fun_X1_5(n0))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[131, 125, 107, 105])).
% 0.21/0.45 tff(133,plain,
% 0.21/0.45 (((~![X1: $i] : (uptakelg(X1) | gt(n0, X1))) | (uptakelg(tptp_fun_X1_5(n0)) | gt(n0, tptp_fun_X1_5(n0)))) <=> ((~![X1: $i] : (uptakelg(X1) | gt(n0, X1))) | uptakelg(tptp_fun_X1_5(n0)) | gt(n0, tptp_fun_X1_5(n0)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(134,plain,
% 0.21/0.45 ((~![X1: $i] : (uptakelg(X1) | gt(n0, X1))) | (uptakelg(tptp_fun_X1_5(n0)) | gt(n0, tptp_fun_X1_5(n0)))),
% 0.21/0.45 inference(quant_inst,[status(thm)],[])).
% 0.21/0.45 tff(135,plain,
% 0.21/0.45 ((~![X1: $i] : (uptakelg(X1) | gt(n0, X1))) | uptakelg(tptp_fun_X1_5(n0)) | gt(n0, tptp_fun_X1_5(n0))),
% 0.21/0.45 inference(modus_ponens,[status(thm)],[134, 133])).
% 0.21/0.45 tff(136,plain,
% 0.21/0.45 ($false),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[135, 105, 132, 115])).
% 0.21/0.45 tff(137,plain,(~![X1: $i] : (uptakelg(X1) | gt(n0, X1))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.45 tff(138,plain,
% 0.21/0.45 (((~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] : (uptakelg(X1) | gt(n0, X1))),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(139,plain,
% 0.21/0.45 ((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1)))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[138, 137])).
% 0.21/0.45 tff(140,assumption,(![X1: $i] : (drugsu(X1) | gt(n0, X1))), introduced(assumption)).
% 0.21/0.45 tff(141,plain,
% 0.21/0.45 (((~s1(n0)) | (~qillt27(n0))) | s1(n0)),
% 0.21/0.45 inference(tautology,[status(thm)],[])).
% 0.21/0.45 tff(142,plain,
% 0.21/0.45 ((~s1(n0)) | (~qillt27(n0))),
% 0.21/0.45 inference(unit_resolution,[status(thm)],[141, 30])).
% 0.21/0.45 tff(143,plain,
% 0.21/0.45 (^[X0: $i] : refl((s2(X0) | s3(X0) | (~drugsu(X0)) | (~((~s1(X0)) | (~qillt27(X0))))) <=> (s2(X0) | s3(X0) | (~drugsu(X0)) | (~((~s1(X0)) | (~qillt27(X0))))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(144,plain,
% 0.21/0.45 (![X0: $i] : (s2(X0) | s3(X0) | (~drugsu(X0)) | (~((~s1(X0)) | (~qillt27(X0))))) <=> ![X0: $i] : (s2(X0) | s3(X0) | (~drugsu(X0)) | (~((~s1(X0)) | (~qillt27(X0)))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[143])).
% 0.21/0.45 tff(145,plain,
% 0.21/0.45 (^[X0: $i] : trans(monotonicity(rewrite((s1(X0) & qillt27(X0)) <=> (~((~s1(X0)) | (~qillt27(X0))))), ((s2(X0) | s3(X0) | (s1(X0) & qillt27(X0)) | (~drugsu(X0))) <=> (s2(X0) | s3(X0) | (~((~s1(X0)) | (~qillt27(X0)))) | (~drugsu(X0))))), rewrite((s2(X0) | s3(X0) | (~((~s1(X0)) | (~qillt27(X0)))) | (~drugsu(X0))) <=> (s2(X0) | s3(X0) | (~drugsu(X0)) | (~((~s1(X0)) | (~qillt27(X0)))))), ((s2(X0) | s3(X0) | (s1(X0) & qillt27(X0)) | (~drugsu(X0))) <=> (s2(X0) | s3(X0) | (~drugsu(X0)) | (~((~s1(X0)) | (~qillt27(X0)))))))),
% 0.21/0.45 inference(bind,[status(th)],[])).
% 0.21/0.45 tff(146,plain,
% 0.21/0.45 (![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & qillt27(X0)) | (~drugsu(X0))) <=> ![X0: $i] : (s2(X0) | s3(X0) | (~drugsu(X0)) | (~((~s1(X0)) | (~qillt27(X0)))))),
% 0.21/0.45 inference(quant_intro,[status(thm)],[145])).
% 0.21/0.45 tff(147,plain,
% 0.21/0.45 (![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & qillt27(X0)) | (~drugsu(X0))) <=> ![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & qillt27(X0)) | (~drugsu(X0)))),
% 0.21/0.45 inference(rewrite,[status(thm)],[])).
% 0.21/0.45 tff(148,plain,
% 0.21/0.45 (^[X0: $i] : trans(monotonicity(trans(monotonicity(rewrite(((s1(X0) & qillt27(X0)) | s2(X0)) <=> (s2(X0) | (s1(X0) & qillt27(X0)))), ((((s1(X0) & qillt27(X0)) | s2(X0)) | s3(X0)) <=> ((s2(X0) | (s1(X0) & qillt27(X0))) | s3(X0)))), rewrite(((s2(X0) | (s1(X0) & qillt27(X0))) | s3(X0)) <=> (s2(X0) | s3(X0) | (s1(X0) & qillt27(X0)))), ((((s1(X0) & qillt27(X0)) | s2(X0)) | s3(X0)) <=> (s2(X0) | s3(X0) | (s1(X0) & qillt27(X0))))), ((drugsu(X0) => (((s1(X0) & qillt27(X0)) | s2(X0)) | s3(X0))) <=> (drugsu(X0) => (s2(X0) | s3(X0) | (s1(X0) & qillt27(X0)))))), rewrite((drugsu(X0) => (s2(X0) | s3(X0) | (s1(X0) & qillt27(X0)))) <=> (s2(X0) | s3(X0) | (s1(X0) & qillt27(X0)) | (~drugsu(X0)))), ((drugsu(X0) => (((s1(X0) & qillt27(X0)) | s2(X0)) | s3(X0))) <=> (s2(X0) | s3(X0) | (s1(X0) & qillt27(X0)) | (~drugsu(X0)))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(149,plain,
% 0.21/0.46 (![X0: $i] : (drugsu(X0) => (((s1(X0) & qillt27(X0)) | s2(X0)) | s3(X0))) <=> ![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & qillt27(X0)) | (~drugsu(X0)))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[148])).
% 0.21/0.46 tff(150,axiom,(![X0: $i] : (drugsu(X0) => (((s1(X0) & qillt27(X0)) | s2(X0)) | s3(X0)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','sucomp')).
% 0.21/0.46 tff(151,plain,
% 0.21/0.46 (![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & qillt27(X0)) | (~drugsu(X0)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[150, 149])).
% 0.21/0.46 tff(152,plain,
% 0.21/0.46 (![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & qillt27(X0)) | (~drugsu(X0)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[151, 147])).
% 0.21/0.46 tff(153,plain,(
% 0.21/0.46 ![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & qillt27(X0)) | (~drugsu(X0)))),
% 0.21/0.46 inference(skolemize,[status(sab)],[152])).
% 0.21/0.46 tff(154,plain,
% 0.21/0.46 (![X0: $i] : (s2(X0) | s3(X0) | (~drugsu(X0)) | (~((~s1(X0)) | (~qillt27(X0)))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[153, 146])).
% 0.21/0.46 tff(155,plain,
% 0.21/0.46 (![X0: $i] : (s2(X0) | s3(X0) | (~drugsu(X0)) | (~((~s1(X0)) | (~qillt27(X0)))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[154, 144])).
% 0.21/0.46 tff(156,plain,
% 0.21/0.46 (((~![X0: $i] : (s2(X0) | s3(X0) | (~drugsu(X0)) | (~((~s1(X0)) | (~qillt27(X0)))))) | (s2(n0) | s3(n0) | (~drugsu(n0)) | (~((~s1(n0)) | (~qillt27(n0)))))) <=> ((~![X0: $i] : (s2(X0) | s3(X0) | (~drugsu(X0)) | (~((~s1(X0)) | (~qillt27(X0)))))) | s2(n0) | s3(n0) | (~drugsu(n0)) | (~((~s1(n0)) | (~qillt27(n0)))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(157,plain,
% 0.21/0.46 ((~![X0: $i] : (s2(X0) | s3(X0) | (~drugsu(X0)) | (~((~s1(X0)) | (~qillt27(X0)))))) | (s2(n0) | s3(n0) | (~drugsu(n0)) | (~((~s1(n0)) | (~qillt27(n0)))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(158,plain,
% 0.21/0.46 ((~![X0: $i] : (s2(X0) | s3(X0) | (~drugsu(X0)) | (~((~s1(X0)) | (~qillt27(X0)))))) | s2(n0) | s3(n0) | (~drugsu(n0)) | (~((~s1(n0)) | (~qillt27(n0))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[157, 156])).
% 0.21/0.46 tff(159,plain,
% 0.21/0.46 (~drugsu(n0)),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[158, 155, 54, 43, 142])).
% 0.21/0.46 tff(160,plain,
% 0.21/0.46 (((~![X1: $i] : (drugsu(X1) | gt(n0, X1))) | (drugsu(n0) | gt(n0, n0))) <=> ((~![X1: $i] : (drugsu(X1) | gt(n0, X1))) | drugsu(n0) | gt(n0, n0))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(161,plain,
% 0.21/0.46 ((~![X1: $i] : (drugsu(X1) | gt(n0, X1))) | (drugsu(n0) | gt(n0, n0))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(162,plain,
% 0.21/0.46 ((~![X1: $i] : (drugsu(X1) | gt(n0, X1))) | drugsu(n0) | gt(n0, n0)),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[161, 160])).
% 0.21/0.46 tff(163,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[162, 159, 12, 140])).
% 0.21/0.46 tff(164,plain,(~![X1: $i] : (drugsu(X1) | gt(n0, X1))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(165,plain,
% 0.21/0.46 ((bcapacityex(n0) | (~![X1: $i] : (drugsu(X1) | gt(n0, X1)))) | ![X1: $i] : (drugsu(X1) | gt(n0, X1))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(166,plain,
% 0.21/0.46 (bcapacityex(n0) | (~![X1: $i] : (drugsu(X1) | gt(n0, X1)))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[165, 164])).
% 0.21/0.46 tff(167,assumption,(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0))), introduced(assumption)).
% 0.21/0.46 tff(168,plain,
% 0.21/0.46 (^[X0: $i] : refl(((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1)))))) <=> ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1)))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(169,plain,
% 0.21/0.46 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1)))))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1))))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[168])).
% 0.21/0.46 tff(170,plain,
% 0.21/0.46 (^[X0: $i] : rewrite(((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1)))))) <=> ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1)))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(171,plain,
% 0.21/0.46 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1)))))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1))))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[170])).
% 0.21/0.46 tff(172,plain,
% 0.21/0.46 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1)))))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1))))))),
% 0.21/0.46 inference(transitivity,[status(thm)],[171, 169])).
% 0.21/0.46 tff(173,plain,
% 0.21/0.46 (^[X0: $i] : rewrite(((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) <=> ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1)))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(174,plain,
% 0.21/0.46 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1))))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[173])).
% 0.21/0.46 tff(175,plain,
% 0.21/0.46 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) <=> ![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(176,plain,
% 0.21/0.46 (^[X0: $i] : trans(monotonicity(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)))), rewrite((![X1: $i] : ((~gt(X0, X1)) => drugsu(X1)) & (~bcapacityex(X0))) <=> (![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))), ((![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)) => (![X1: $i] : ((~gt(X0, X1)) => drugsu(X1)) & (~bcapacityex(X0)))) <=> (![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) => (![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))))), rewrite((![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) => (![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) <=> ((~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0))))), ((![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)) => (![X1: $i] : ((~gt(X0, X1)) => drugsu(X1)) & (~bcapacityex(X0)))) <=> ((~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(177,plain,
% 0.21/0.46 (![X0: $i] : (![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)) => (![X1: $i] : ((~gt(X0, X1)) => drugsu(X1)) & (~bcapacityex(X0)))) <=> ![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[176])).
% 0.21/0.46 tff(178,axiom,(![X0: $i] : (![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)) => (![X1: $i] : ((~gt(X0, X1)) => drugsu(X1)) & (~bcapacityex(X0))))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','su_completion')).
% 0.21/0.46 tff(179,plain,
% 0.21/0.46 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[178, 177])).
% 0.21/0.46 tff(180,plain,
% 0.21/0.46 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[179, 175])).
% 0.21/0.46 tff(181,plain,(
% 0.21/0.46 ![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0))))),
% 0.21/0.46 inference(skolemize,[status(sab)],[180])).
% 0.21/0.46 tff(182,plain,
% 0.21/0.46 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1))))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[181, 174])).
% 0.21/0.46 tff(183,plain,
% 0.21/0.46 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1))))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[182, 172])).
% 0.21/0.46 tff(184,plain,
% 0.21/0.46 (((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1))))))) | ((~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~(bcapacityex(n0) | (~![X1: $i] : (drugsu(X1) | gt(n0, X1))))))) <=> ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1))))))) | (~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~(bcapacityex(n0) | (~![X1: $i] : (drugsu(X1) | gt(n0, X1))))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(185,plain,
% 0.21/0.46 (((~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~(bcapacityex(n0) | (~![X1: $i] : (gt(n0, X1) | drugsu(X1)))))) <=> ((~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~(bcapacityex(n0) | (~![X1: $i] : (drugsu(X1) | gt(n0, X1))))))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(186,plain,
% 0.21/0.46 (((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1))))))) | ((~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~(bcapacityex(n0) | (~![X1: $i] : (gt(n0, X1) | drugsu(X1))))))) <=> ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1))))))) | ((~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~(bcapacityex(n0) | (~![X1: $i] : (drugsu(X1) | gt(n0, X1)))))))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[185])).
% 0.21/0.46 tff(187,plain,
% 0.21/0.46 (((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1))))))) | ((~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~(bcapacityex(n0) | (~![X1: $i] : (gt(n0, X1) | drugsu(X1))))))) <=> ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1))))))) | (~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~(bcapacityex(n0) | (~![X1: $i] : (drugsu(X1) | gt(n0, X1))))))),
% 0.21/0.46 inference(transitivity,[status(thm)],[186, 184])).
% 0.21/0.46 tff(188,plain,
% 0.21/0.46 ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1))))))) | ((~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~(bcapacityex(n0) | (~![X1: $i] : (gt(n0, X1) | drugsu(X1))))))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(189,plain,
% 0.21/0.46 ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~(bcapacityex(X0) | (~![X1: $i] : (gt(X0, X1) | drugsu(X1))))))) | (~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~(bcapacityex(n0) | (~![X1: $i] : (drugsu(X1) | gt(n0, X1)))))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[188, 187])).
% 0.21/0.46 tff(190,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[189, 183, 167, 166])).
% 0.21/0.46 tff(191,plain,(~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(192,assumption,(~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))), introduced(assumption)).
% 0.21/0.46 tff(193,plain,
% 0.21/0.46 ((gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0))) | (~bsecretioni(tptp_fun_X1_3(n0)))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(194,plain,
% 0.21/0.46 (~bsecretioni(tptp_fun_X1_3(n0))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[193, 192])).
% 0.21/0.46 tff(195,plain,
% 0.21/0.46 ((gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0))) | (~gt(n0, tptp_fun_X1_3(n0)))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(196,plain,
% 0.21/0.46 (~gt(n0, tptp_fun_X1_3(n0))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[195, 192])).
% 0.21/0.46 tff(197,assumption,(![X1: $i] : (bsecretioni(X1) | gt(n0, X1))), introduced(assumption)).
% 0.21/0.46 tff(198,plain,
% 0.21/0.46 (((~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))) <=> ((~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(199,plain,
% 0.21/0.46 ((~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(200,plain,
% 0.21/0.46 ((~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[199, 198])).
% 0.21/0.46 tff(201,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[200, 197, 196, 194])).
% 0.21/0.46 tff(202,plain,((gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0))) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(203,plain,
% 0.21/0.46 (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[202, 191])).
% 0.21/0.46 tff(204,plain,
% 0.21/0.46 (((~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] : (bsecretioni(X1) | gt(n0, X1))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(205,plain,
% 0.21/0.46 ((~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))))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[204, 203])).
% 0.21/0.46 tff(206,plain,
% 0.21/0.46 (((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1))))) | ![X1: $i] : (bsecretioni(X1) | gt(n0, X1))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(207,plain,
% 0.21/0.46 ((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1))))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[206, 203])).
% 0.21/0.46 tff(208,assumption,(~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))))), introduced(assumption)).
% 0.21/0.46 tff(209,plain,
% 0.21/0.46 ((gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2))))) | s1(tptp_fun_X1_9(n0))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(210,plain,
% 0.21/0.46 (s1(tptp_fun_X1_9(n0))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[209, 208])).
% 0.21/0.46 tff(211,plain,
% 0.21/0.46 ((gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2))))) | (~gt(n0, tptp_fun_X1_9(n0)))),
% 0.21/0.46 inference(tautology,[status(thm)],[])).
% 0.21/0.46 tff(212,plain,
% 0.21/0.46 (~gt(n0, tptp_fun_X1_9(n0))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[211, 208])).
% 0.21/0.46 tff(213,plain,
% 0.21/0.46 (^[X0: $i] : refl(((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) <=> ((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(214,plain,
% 0.21/0.46 (![X0: $i] : ((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) <=> ![X0: $i] : ((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[213])).
% 0.21/0.46 tff(215,plain,
% 0.21/0.46 (^[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))) | (~s1(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) <=> (gt(n0, X0) | (~s1(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))))), rewrite((gt(n0, X0) | (~s1(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) <=> ((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))), (((~(~gt(n0, X0))) | (~s1(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) <=> ((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(216,plain,
% 0.21/0.47 (![X0: $i] : ((~(~gt(n0, X0))) | (~s1(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) <=> ![X0: $i] : ((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[215])).
% 0.21/0.47 tff(217,plain,
% 0.21/0.47 ((~?[X0: $i] : ((~gt(n0, X0)) & s1(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))) <=> (~?[X0: $i] : ((~gt(n0, X0)) & s1(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(218,plain,
% 0.21/0.47 (~?[X0: $i] : ((~gt(n0, X0)) & s1(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))),
% 0.21/0.47 inference(or_elim,[status(thm)],[16])).
% 0.21/0.47 tff(219,plain,
% 0.21/0.47 (~?[X0: $i] : ((~gt(n0, X0)) & s1(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[218, 217])).
% 0.21/0.47 tff(220,plain,
% 0.21/0.47 (~?[X0: $i] : ((~gt(n0, X0)) & s1(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[219, 217])).
% 0.21/0.47 tff(221,plain,
% 0.21/0.47 (~?[X0: $i] : ((~gt(n0, X0)) & s1(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[220, 217])).
% 0.21/0.47 tff(222,plain,
% 0.21/0.47 (~?[X0: $i] : ((~gt(n0, X0)) & s1(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[221, 217])).
% 0.21/0.47 tff(223,plain,
% 0.21/0.47 (~?[X0: $i] : ((~gt(n0, X0)) & s1(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[222, 217])).
% 0.21/0.47 tff(224,plain,
% 0.21/0.47 (~?[X0: $i] : ((~gt(n0, X0)) & s1(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[223, 217])).
% 0.21/0.47 tff(225,plain,
% 0.21/0.47 (^[X0: $i] : nnf_neg(refl($oeq((~(~gt(n0, X0))), (~(~gt(n0, X0))))), refl($oeq((~s1(X0)), (~s1(X0)))), sk($oeq((~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))), (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))), $oeq((~((~gt(n0, X0)) & s1(X0) & ![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1)))), ((~(~gt(n0, X0))) | (~s1(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(226,plain,(
% 0.21/0.47 ![X0: $i] : ((~(~gt(n0, X0))) | (~s1(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))),
% 0.21/0.47 inference(nnf-neg,[status(sab)],[224, 225])).
% 0.21/0.47 tff(227,plain,
% 0.21/0.47 (![X0: $i] : ((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[226, 216])).
% 0.21/0.47 tff(228,plain,
% 0.21/0.47 (![X0: $i] : ((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[227, 214])).
% 0.21/0.47 tff(229,plain,
% 0.21/0.47 (((~![X0: $i] : ((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))) | (gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0))))))) <=> ((~![X0: $i] : ((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))) | gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0))))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(230,plain,
% 0.21/0.47 (((~s1(tptp_fun_X1_9(n0))) | gt(n0, tptp_fun_X1_9(n0)) | (~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0)))))) <=> (gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0))))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(231,plain,
% 0.21/0.47 ((~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0))))) <=> (~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0)))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(232,plain,
% 0.21/0.47 (((~s1(tptp_fun_X1_9(n0))) | gt(n0, tptp_fun_X1_9(n0)) | (~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0)))))) <=> ((~s1(tptp_fun_X1_9(n0))) | gt(n0, tptp_fun_X1_9(n0)) | (~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0))))))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[231])).
% 0.21/0.47 tff(233,plain,
% 0.21/0.47 (((~s1(tptp_fun_X1_9(n0))) | gt(n0, tptp_fun_X1_9(n0)) | (~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0)))))) <=> (gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0))))))),
% 0.21/0.47 inference(transitivity,[status(thm)],[232, 230])).
% 0.21/0.47 tff(234,plain,
% 0.21/0.47 (((~![X0: $i] : ((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))) | ((~s1(tptp_fun_X1_9(n0))) | gt(n0, tptp_fun_X1_9(n0)) | (~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0))))))) <=> ((~![X0: $i] : ((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))) | (gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0)))))))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[233])).
% 0.21/0.47 tff(235,plain,
% 0.21/0.47 (((~![X0: $i] : ((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))) | ((~s1(tptp_fun_X1_9(n0))) | gt(n0, tptp_fun_X1_9(n0)) | (~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0))))))) <=> ((~![X0: $i] : ((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))) | gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0))))))),
% 0.21/0.47 inference(transitivity,[status(thm)],[234, 229])).
% 0.21/0.47 tff(236,plain,
% 0.21/0.47 ((~![X0: $i] : ((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))) | ((~s1(tptp_fun_X1_9(n0))) | gt(n0, tptp_fun_X1_9(n0)) | (~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0))))))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(237,plain,
% 0.21/0.47 ((~![X0: $i] : ((~s1(X0)) | gt(n0, X0) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))))) | gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0)))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[236, 235])).
% 0.21/0.47 tff(238,plain,
% 0.21/0.47 (~((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0))))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[237, 228, 212, 210])).
% 0.21/0.47 tff(239,plain,
% 0.21/0.47 (((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | (~conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0))))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(240,plain,
% 0.21/0.47 (~conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0)))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[239, 238])).
% 0.21/0.47 tff(241,plain,
% 0.21/0.47 (((~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0)))) | gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(242,plain,
% 0.21/0.47 (gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[241, 238])).
% 0.21/0.47 tff(243,plain,
% 0.21/0.47 ((gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2))))) | ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))),
% 0.21/0.47 inference(tautology,[status(thm)],[])).
% 0.21/0.47 tff(244,plain,
% 0.21/0.47 (![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[243, 208])).
% 0.21/0.47 tff(245,plain,
% 0.21/0.47 (((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))) | (conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0))) | (~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))))) <=> ((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0))) | (~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(246,plain,
% 0.21/0.47 ((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))) | (conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0))) | (~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0)))))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(247,plain,
% 0.21/0.47 ((~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))) | conditionhyper(tptp_fun_X1_4(tptp_fun_X1_9(n0))) | (~gt(tptp_fun_X1_9(n0), tptp_fun_X1_4(tptp_fun_X1_9(n0))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[246, 245])).
% 0.21/0.47 tff(248,plain,
% 0.21/0.47 ($false),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[247, 244, 242, 240])).
% 0.21/0.47 tff(249,plain,(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.47 tff(250,plain,
% 0.21/0.47 (^[X0: $i] : refl(((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2))))))) <=> ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2))))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(251,plain,
% 0.21/0.47 (![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2))))))) <=> ![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[250])).
% 0.21/0.47 tff(252,plain,
% 0.21/0.47 (^[X0: $i] : rewrite(((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2))))))) <=> ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2))))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(253,plain,
% 0.21/0.47 (![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2))))))) <=> ![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[252])).
% 0.21/0.47 tff(254,plain,
% 0.21/0.47 (![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2))))))) <=> ![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))),
% 0.21/0.47 inference(transitivity,[status(thm)],[253, 251])).
% 0.21/0.47 tff(255,plain,
% 0.21/0.47 (^[X0: $i] : trans(monotonicity(rewrite(((~gt(X0, tptp_fun_X1_9(X0))) & s1(tptp_fun_X1_9(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))) <=> (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2))))))), (((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | ((~gt(X0, tptp_fun_X1_9(X0))) & s1(tptp_fun_X1_9(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2))))) <=> ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2))))))))), rewrite(((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2))))))) <=> ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))), (((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | ((~gt(X0, tptp_fun_X1_9(X0))) & s1(tptp_fun_X1_9(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2))))) <=> ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(256,plain,
% 0.21/0.47 (![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | ((~gt(X0, tptp_fun_X1_9(X0))) & s1(tptp_fun_X1_9(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2))))) <=> ![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[255])).
% 0.21/0.47 tff(257,plain,
% 0.21/0.47 (^[X0: $i] : trans(monotonicity(rewrite(((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) <=> ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))), rewrite(((~gt(X0, tptp_fun_X1_9(X0))) & s1(tptp_fun_X1_9(X0)) & ![X2: $i] : ((~gt(tptp_fun_X1_9(X0), X2)) | conditionhyper(X2))) <=> ((~gt(X0, tptp_fun_X1_9(X0))) & s1(tptp_fun_X1_9(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2))))), ((((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) | ((~gt(X0, tptp_fun_X1_9(X0))) & s1(tptp_fun_X1_9(X0)) & ![X2: $i] : ((~gt(tptp_fun_X1_9(X0), X2)) | conditionhyper(X2)))) <=> (((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) | ((~gt(X0, tptp_fun_X1_9(X0))) & s1(tptp_fun_X1_9(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2))))))), rewrite((((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) | ((~gt(X0, tptp_fun_X1_9(X0))) & s1(tptp_fun_X1_9(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2))))) <=> ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | ((~gt(X0, tptp_fun_X1_9(X0))) & s1(tptp_fun_X1_9(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))), ((((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) | ((~gt(X0, tptp_fun_X1_9(X0))) & s1(tptp_fun_X1_9(X0)) & ![X2: $i] : ((~gt(tptp_fun_X1_9(X0), X2)) | conditionhyper(X2)))) <=> ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | ((~gt(X0, tptp_fun_X1_9(X0))) & s1(tptp_fun_X1_9(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(258,plain,
% 0.21/0.47 (![X0: $i] : (((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) | ((~gt(X0, tptp_fun_X1_9(X0))) & s1(tptp_fun_X1_9(X0)) & ![X2: $i] : ((~gt(tptp_fun_X1_9(X0), X2)) | conditionhyper(X2)))) <=> ![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | ((~gt(X0, tptp_fun_X1_9(X0))) & s1(tptp_fun_X1_9(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[257])).
% 0.21/0.47 tff(259,plain,
% 0.21/0.47 (![X0: $i] : ((~(s0(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))) | ?[X1: $i] : ((~gt(X0, X1)) & s1(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)))) <=> ![X0: $i] : ((~(s0(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))) | ?[X1: $i] : ((~gt(X0, X1)) & s1(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(260,plain,
% 0.21/0.47 (^[X0: $i] : trans(monotonicity(rewrite((s0(X0) & (~![X1: $i] : ((~gt(X0, X1)) => conditionnormo(X1)))) <=> (s0(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))), quant_intro(proof_bind(^[X1: $i] : 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)) & s1(X1)) & ![X2: $i] : (gt(X1, X2) => conditionhyper(X2))) <=> (((~gt(X0, X1)) & s1(X1)) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2))))), rewrite((((~gt(X0, X1)) & s1(X1)) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2))) <=> ((~gt(X0, X1)) & s1(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)))), ((((~gt(X0, X1)) & s1(X1)) & ![X2: $i] : (gt(X1, X2) => conditionhyper(X2))) <=> ((~gt(X0, X1)) & s1(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)))))), (?[X1: $i] : (((~gt(X0, X1)) & s1(X1)) & ![X2: $i] : (gt(X1, X2) => conditionhyper(X2))) <=> ?[X1: $i] : ((~gt(X0, X1)) & s1(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2))))), (((s0(X0) & (~![X1: $i] : ((~gt(X0, X1)) => conditionnormo(X1)))) => ?[X1: $i] : (((~gt(X0, X1)) & s1(X1)) & ![X2: $i] : (gt(X1, X2) => conditionhyper(X2)))) <=> ((s0(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) => ?[X1: $i] : ((~gt(X0, X1)) & s1(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)))))), rewrite(((s0(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) => ?[X1: $i] : ((~gt(X0, X1)) & s1(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2)))) <=> ((~(s0(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))) | ?[X1: $i] : ((~gt(X0, X1)) & s1(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2))))), (((s0(X0) & (~![X1: $i] : ((~gt(X0, X1)) => conditionnormo(X1)))) => ?[X1: $i] : (((~gt(X0, X1)) & s1(X1)) & ![X2: $i] : (gt(X1, X2) => conditionhyper(X2)))) <=> ((~(s0(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))) | ?[X1: $i] : ((~gt(X0, X1)) & s1(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(261,plain,
% 0.21/0.47 (![X0: $i] : ((s0(X0) & (~![X1: $i] : ((~gt(X0, X1)) => conditionnormo(X1)))) => ?[X1: $i] : (((~gt(X0, X1)) & s1(X1)) & ![X2: $i] : (gt(X1, X2) => conditionhyper(X2)))) <=> ![X0: $i] : ((~(s0(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))) | ?[X1: $i] : ((~gt(X0, X1)) & s1(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[260])).
% 0.21/0.47 tff(262,axiom,(![X0: $i] : ((s0(X0) & (~![X1: $i] : ((~gt(X0, X1)) => conditionnormo(X1)))) => ?[X1: $i] : (((~gt(X0, X1)) & s1(X1)) & ![X2: $i] : (gt(X1, X2) => conditionhyper(X2))))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','trans_ax1')).
% 0.21/0.47 tff(263,plain,
% 0.21/0.47 (![X0: $i] : ((~(s0(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))) | ?[X1: $i] : ((~gt(X0, X1)) & s1(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[262, 261])).
% 0.21/0.47 tff(264,plain,
% 0.21/0.47 (![X0: $i] : ((~(s0(X0) & (~![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))) | ?[X1: $i] : ((~gt(X0, X1)) & s1(X1) & ![X2: $i] : ((~gt(X1, X2)) | conditionhyper(X2))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[263, 259])).
% 0.21/0.47 tff(265,plain,(
% 0.21/0.47 ![X0: $i] : (((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) | ((~gt(X0, tptp_fun_X1_9(X0))) & s1(tptp_fun_X1_9(X0)) & ![X2: $i] : ((~gt(tptp_fun_X1_9(X0), X2)) | conditionhyper(X2))))),
% 0.21/0.48 inference(skolemize,[status(sab)],[264])).
% 0.21/0.48 tff(266,plain,
% 0.21/0.48 (![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | ((~gt(X0, tptp_fun_X1_9(X0))) & s1(tptp_fun_X1_9(X0)) & ![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[265, 258])).
% 0.21/0.48 tff(267,plain,
% 0.21/0.48 (![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[266, 256])).
% 0.21/0.48 tff(268,plain,
% 0.21/0.48 (![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[267, 254])).
% 0.21/0.48 tff(269,plain,
% 0.21/0.48 (((~![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))) | ((~s0(n0)) | (~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))) <=> ((~![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))) | (~s0(n0)) | (~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(270,plain,
% 0.21/0.48 (((~s0(n0)) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)) | (~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2))))))) <=> ((~s0(n0)) | (~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(271,plain,
% 0.21/0.48 ((~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))))) <=> (~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2))))))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(272,plain,
% 0.21/0.48 (^[X1: $i] : rewrite((gt(n0, X1) | conditionnormo(X1)) <=> (conditionnormo(X1) | gt(n0, X1)))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(273,plain,
% 0.21/0.48 (![X1: $i] : (gt(n0, X1) | conditionnormo(X1)) <=> ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[272])).
% 0.21/0.48 tff(274,plain,
% 0.21/0.48 (((~s0(n0)) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1)) | (~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2))))))) <=> ((~s0(n0)) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)) | (~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))))))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[273, 271])).
% 0.21/0.48 tff(275,plain,
% 0.21/0.48 (((~s0(n0)) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1)) | (~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2))))))) <=> ((~s0(n0)) | (~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))),
% 0.21/0.48 inference(transitivity,[status(thm)],[274, 270])).
% 0.21/0.48 tff(276,plain,
% 0.21/0.48 (((~![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))) | ((~s0(n0)) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1)) | (~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))))))) <=> ((~![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))) | ((~s0(n0)) | (~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[275])).
% 0.21/0.48 tff(277,plain,
% 0.21/0.48 (((~![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))) | ((~s0(n0)) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1)) | (~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))))))) <=> ((~![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))) | (~s0(n0)) | (~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))),
% 0.21/0.48 inference(transitivity,[status(thm)],[276, 269])).
% 0.21/0.48 tff(278,plain,
% 0.21/0.48 ((~![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))) | ((~s0(n0)) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1)) | (~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))))))),
% 0.21/0.48 inference(quant_inst,[status(thm)],[])).
% 0.21/0.48 tff(279,plain,
% 0.21/0.48 ((~![X0: $i] : ((~s0(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_9(X0)) | (~s1(tptp_fun_X1_9(X0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(X0), X2)))))))) | (~s0(n0)) | (~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.21/0.48 tff(280,plain,
% 0.21/0.48 ((~(gt(n0, tptp_fun_X1_9(n0)) | (~s1(tptp_fun_X1_9(n0))) | (~![X2: $i] : (conditionhyper(X2) | (~gt(tptp_fun_X1_9(n0), X2)))))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[279, 268, 19])).
% 0.21/0.48 tff(281,plain,
% 0.21/0.48 (![X1: $i] : (conditionnormo(X1) | gt(n0, X1))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[280, 249])).
% 0.21/0.48 tff(282,assumption,(~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))), introduced(assumption)).
% 0.21/0.48 tff(283,plain,
% 0.21/0.48 ((gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0))) | (~conditionnormo(tptp_fun_X1_8(n0)))),
% 0.21/0.48 inference(tautology,[status(thm)],[])).
% 0.21/0.48 tff(284,plain,
% 0.21/0.48 (~conditionnormo(tptp_fun_X1_8(n0))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[283, 282])).
% 0.21/0.48 tff(285,plain,
% 0.21/0.48 ((gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0))) | (~gt(n0, tptp_fun_X1_8(n0)))),
% 0.21/0.48 inference(tautology,[status(thm)],[])).
% 0.21/0.48 tff(286,plain,
% 0.21/0.48 (~gt(n0, tptp_fun_X1_8(n0))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[285, 282])).
% 0.21/0.48 tff(287,assumption,(![X1: $i] : (conditionnormo(X1) | gt(n0, X1))), introduced(assumption)).
% 0.21/0.48 tff(288,plain,
% 0.21/0.48 (((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | (conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) <=> ((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(289,plain,
% 0.21/0.48 ((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | (conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))),
% 0.21/0.48 inference(quant_inst,[status(thm)],[])).
% 0.21/0.48 tff(290,plain,
% 0.21/0.48 ((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[289, 288])).
% 0.21/0.48 tff(291,plain,
% 0.21/0.48 ($false),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[290, 287, 286, 284])).
% 0.21/0.48 tff(292,plain,((gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0))) | (~![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.48 tff(293,plain,
% 0.21/0.48 (gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[292, 281])).
% 0.21/0.48 tff(294,plain,
% 0.21/0.48 (^[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)))))))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(295,plain,
% 0.21/0.48 (![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)))))))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[294])).
% 0.21/0.48 tff(296,plain,
% 0.21/0.48 (^[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)))))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(297,plain,
% 0.21/0.48 (![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))))))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[296])).
% 0.21/0.49 tff(298,plain,
% 0.21/0.49 (^[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)))))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(299,plain,
% 0.21/0.49 (![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))))))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[298])).
% 0.21/0.49 tff(300,plain,
% 0.21/0.49 (![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))))))),
% 0.21/0.49 inference(transitivity,[status(thm)],[299, 297])).
% 0.21/0.49 tff(301,plain,
% 0.21/0.49 (^[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))))))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(302,plain,
% 0.21/0.49 (![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))))))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[301])).
% 0.21/0.49 tff(303,plain,
% 0.21/0.49 (![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))))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(304,plain,
% 0.21/0.49 (^[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))))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(305,plain,
% 0.21/0.50 (![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))))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[304])).
% 0.21/0.50 tff(306,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')).
% 0.21/0.50 tff(307,plain,
% 0.21/0.50 (![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))))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[306, 305])).
% 0.21/0.50 tff(308,plain,
% 0.21/0.50 (![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))))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[307, 303])).
% 0.21/0.50 tff(309,plain,(
% 0.21/0.50 ![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)))))),
% 0.21/0.50 inference(skolemize,[status(sab)],[308])).
% 0.21/0.50 tff(310,plain,
% 0.21/0.50 (![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))))))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[309, 302])).
% 0.21/0.50 tff(311,plain,
% 0.21/0.50 (![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))))))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[310, 300])).
% 0.21/0.50 tff(312,plain,
% 0.21/0.50 (![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)))))))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[311, 295])).
% 0.21/0.50 tff(313,plain,
% 0.21/0.50 (((~![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))))) | (~(qilt27(n0) | (~bcapacitysn(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))))) | (~(qilt27(n0) | (~bcapacitysn(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(314,plain,
% 0.21/0.50 (((~(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))))) | (~(qilt27(n0) | (~bcapacitysn(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))))) | (~(qilt27(n0) | (~bcapacitysn(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(315,plain,
% 0.21/0.50 ((~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1)))))) <=> (~(qilt27(n0) | (~bcapacitysn(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(316,plain,
% 0.21/0.50 ((~((~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)))))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(317,plain,
% 0.21/0.50 ((~((~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))))))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(318,plain,
% 0.21/0.50 ((~((~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))))))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(319,plain,
% 0.21/0.50 ((~(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))))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(320,plain,
% 0.21/0.50 (((~(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))))) | (~(qilt27(n0) | (~bcapacitysn(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 0.21/0.50 inference(monotonicity,[status(thm)],[319, 318, 317, 316, 315])).
% 0.21/0.50 tff(321,plain,
% 0.21/0.50 (((~(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))))) | (~(qilt27(n0) | (~bcapacitysn(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 0.21/0.50 inference(transitivity,[status(thm)],[320, 314])).
% 0.21/0.50 tff(322,plain,
% 0.21/0.50 (((~![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))))) | (~(qilt27(n0) | (~bcapacitysn(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))))))),
% 0.21/0.50 inference(monotonicity,[status(thm)],[321])).
% 0.21/0.50 tff(323,plain,
% 0.21/0.50 (((~![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))))) | (~(qilt27(n0) | (~bcapacitysn(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 0.21/0.51 inference(transitivity,[status(thm)],[322, 313])).
% 0.21/0.51 tff(324,plain,
% 0.21/0.51 ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(n0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(n0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1)))))))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(325,plain,
% 0.21/0.51 ((~![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))))) | (~(qilt27(n0) | (~bcapacitysn(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[324, 323])).
% 0.21/0.51 tff(326,plain,
% 0.21/0.51 ($false),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[325, 312, 293, 207, 205, 139, 114])).
% 0.21/0.51 % SZS output end Proof
%------------------------------------------------------------------------------