TSTP Solution File: MED002+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MED002+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.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 05:08:11 EDT 2022
% Result : Theorem 0.19s 0.40s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MED002+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Sep 2 02:46:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 % SZS output start Proof
% 0.19/0.40 tff(gt_type, type, (
% 0.19/0.40 gt: ( $i * $i ) > $o)).
% 0.19/0.40 tff(tptp_fun_X1_4_type, type, (
% 0.19/0.40 tptp_fun_X1_4: $i > $i)).
% 0.19/0.40 tff(n0_type, type, (
% 0.19/0.40 n0: $i)).
% 0.19/0.40 tff(conditionhyper_type, type, (
% 0.19/0.40 conditionhyper: $i > $o)).
% 0.19/0.40 tff(uptakepg_type, type, (
% 0.19/0.40 uptakepg: $i > $o)).
% 0.19/0.40 tff(tptp_fun_X1_6_type, type, (
% 0.19/0.40 tptp_fun_X1_6: $i > $i)).
% 0.19/0.40 tff(releaselg_type, type, (
% 0.19/0.40 releaselg: $i > $o)).
% 0.19/0.40 tff(tptp_fun_X1_5_type, type, (
% 0.19/0.40 tptp_fun_X1_5: $i > $i)).
% 0.19/0.40 tff(drugbg_type, type, (
% 0.19/0.40 drugbg: $i > $o)).
% 0.19/0.40 tff(tptp_fun_X1_2_type, type, (
% 0.19/0.40 tptp_fun_X1_2: $i > $i)).
% 0.19/0.40 tff(drugsu_type, type, (
% 0.19/0.40 drugsu: $i > $o)).
% 0.19/0.40 tff(bcapacityne_type, type, (
% 0.19/0.40 bcapacityne: $i > $o)).
% 0.19/0.40 tff(conditionnormo_type, type, (
% 0.19/0.40 conditionnormo: $i > $o)).
% 0.19/0.40 tff(bsecretioni_type, type, (
% 0.19/0.40 bsecretioni: $i > $o)).
% 0.19/0.40 tff(tptp_fun_X1_3_type, type, (
% 0.19/0.40 tptp_fun_X1_3: $i > $i)).
% 0.19/0.40 tff(tptp_fun_X1_1_type, type, (
% 0.19/0.40 tptp_fun_X1_1: $i > $i)).
% 0.19/0.40 tff(bcapacityex_type, type, (
% 0.19/0.40 bcapacityex: $i > $o)).
% 0.19/0.40 tff(tptp_fun_X0_8_type, type, (
% 0.19/0.40 tptp_fun_X0_8: $i)).
% 0.19/0.40 tff(1,assumption,(~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)))), introduced(assumption)).
% 0.19/0.40 tff(2,plain,
% 0.19/0.40 ((gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0))) | (~gt(n0, tptp_fun_X1_5(n0)))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(3,plain,
% 0.19/0.40 (~gt(n0, tptp_fun_X1_5(n0))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[2, 1])).
% 0.19/0.40 tff(4,plain,
% 0.19/0.40 ((gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0))) | releaselg(tptp_fun_X1_5(n0))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(5,plain,
% 0.19/0.40 (releaselg(tptp_fun_X1_5(n0))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.19/0.40 tff(6,assumption,(releaselg(tptp_fun_X1_5(n0))), introduced(assumption)).
% 0.19/0.40 tff(7,assumption,(~gt(n0, tptp_fun_X1_5(n0))), introduced(assumption)).
% 0.19/0.40 tff(8,assumption,(~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))), introduced(assumption)).
% 0.19/0.40 tff(9,plain,
% 0.19/0.40 ((gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0))) | (~drugbg(tptp_fun_X1_2(n0)))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(10,plain,
% 0.19/0.40 (~drugbg(tptp_fun_X1_2(n0))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[9, 8])).
% 0.19/0.40 tff(11,plain,
% 0.19/0.40 (((~drugbg(tptp_fun_X1_2(n0))) | (~drugsu(tptp_fun_X1_2(n0)))) | drugbg(tptp_fun_X1_2(n0))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(12,plain,
% 0.19/0.40 ((~drugbg(tptp_fun_X1_2(n0))) | (~drugsu(tptp_fun_X1_2(n0)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[11, 10])).
% 0.19/0.40 tff(13,plain,
% 0.19/0.40 ((gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0))) | (~gt(n0, tptp_fun_X1_2(n0)))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(14,plain,
% 0.19/0.40 (~gt(n0, tptp_fun_X1_2(n0))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[13, 8])).
% 0.19/0.40 tff(15,plain,
% 0.19/0.40 (^[X0: $i] : refl((gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0))))) <=> (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0))))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(16,plain,
% 0.19/0.40 (![X0: $i] : (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0))))) <=> ![X0: $i] : (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0)))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[15])).
% 0.19/0.40 tff(17,plain,
% 0.19/0.40 (^[X0: $i] : trans(monotonicity(rewrite((drugbg(X0) & drugsu(X0)) <=> (~((~drugbg(X0)) | (~drugsu(X0))))), ((gt(n0, X0) | (drugbg(X0) & drugsu(X0))) <=> (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0))))))), rewrite((gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0))))) <=> (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0)))))), ((gt(n0, X0) | (drugbg(X0) & drugsu(X0))) <=> (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0)))))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(18,plain,
% 0.19/0.40 (![X0: $i] : (gt(n0, X0) | (drugbg(X0) & drugsu(X0))) <=> ![X0: $i] : (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0)))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[17])).
% 0.19/0.40 tff(19,plain,
% 0.19/0.40 (![X0: $i] : (gt(n0, X0) | (drugbg(X0) & drugsu(X0))) <=> ![X0: $i] : (gt(n0, X0) | (drugbg(X0) & drugsu(X0)))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(20,plain,
% 0.19/0.40 ((~(((![X0: $i] : ((~gt(n0, X0)) => (drugbg(X0) & drugsu(X0))) & ![X0: $i] : (gt(n0, X0) => conditionhyper(X0))) & bcapacityne(n0)) => ![X0: $i] : ((~gt(n0, X0)) => conditionnormo(X0)))) <=> (~((~(![X0: $i] : (gt(n0, X0) | (drugbg(X0) & drugsu(X0))) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & bcapacityne(n0))) | ![X0: $i] : (conditionnormo(X0) | gt(n0, X0))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(21,axiom,(~(((![X0: $i] : ((~gt(n0, X0)) => (drugbg(X0) & drugsu(X0))) & ![X0: $i] : (gt(n0, X0) => conditionhyper(X0))) & bcapacityne(n0)) => ![X0: $i] : ((~gt(n0, X0)) => conditionnormo(X0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','treatmentne')).
% 0.19/0.40 tff(22,plain,
% 0.19/0.40 (~((~(![X0: $i] : (gt(n0, X0) | (drugbg(X0) & drugsu(X0))) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & bcapacityne(n0))) | ![X0: $i] : (conditionnormo(X0) | gt(n0, X0)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.19/0.40 tff(23,plain,
% 0.19/0.40 (![X0: $i] : (gt(n0, X0) | (drugbg(X0) & drugsu(X0))) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & bcapacityne(n0)),
% 0.19/0.40 inference(or_elim,[status(thm)],[22])).
% 0.19/0.40 tff(24,plain,
% 0.19/0.40 (![X0: $i] : (gt(n0, X0) | (drugbg(X0) & drugsu(X0)))),
% 0.19/0.40 inference(and_elim,[status(thm)],[23])).
% 0.19/0.40 tff(25,plain,
% 0.19/0.40 (![X0: $i] : (gt(n0, X0) | (drugbg(X0) & drugsu(X0)))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[24, 19])).
% 0.19/0.40 tff(26,plain,(
% 0.19/0.40 ![X0: $i] : (gt(n0, X0) | (drugbg(X0) & drugsu(X0)))),
% 0.19/0.40 inference(skolemize,[status(sab)],[25])).
% 0.19/0.40 tff(27,plain,
% 0.19/0.40 (![X0: $i] : (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[26, 18])).
% 0.19/0.40 tff(28,plain,
% 0.19/0.40 (![X0: $i] : (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[27, 16])).
% 0.19/0.40 tff(29,plain,
% 0.19/0.40 (((~![X0: $i] : (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0)))))) | (gt(n0, tptp_fun_X1_2(n0)) | (~((~drugbg(tptp_fun_X1_2(n0))) | (~drugsu(tptp_fun_X1_2(n0))))))) <=> ((~![X0: $i] : (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0)))))) | gt(n0, tptp_fun_X1_2(n0)) | (~((~drugbg(tptp_fun_X1_2(n0))) | (~drugsu(tptp_fun_X1_2(n0))))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(30,plain,
% 0.19/0.40 ((~![X0: $i] : (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0)))))) | (gt(n0, tptp_fun_X1_2(n0)) | (~((~drugbg(tptp_fun_X1_2(n0))) | (~drugsu(tptp_fun_X1_2(n0))))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(31,plain,
% 0.19/0.40 ((~![X0: $i] : (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0)))))) | gt(n0, tptp_fun_X1_2(n0)) | (~((~drugbg(tptp_fun_X1_2(n0))) | (~drugsu(tptp_fun_X1_2(n0)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.19/0.40 tff(32,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[31, 28, 14, 12])).
% 0.19/0.40 tff(33,plain,(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(34,plain,
% 0.19/0.40 (^[X0: $i, X1: $i] : trans(monotonicity(rewrite((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) <=> (~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0))))), rewrite((gt(X0, X1) | (~releaselg(X1))) <=> (gt(X0, X1) | (~releaselg(X1)))), (((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1)))) <=> ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1)))))), rewrite(((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1)))) <=> (gt(X0, X1) | (~releaselg(X1)) | (~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))))), (((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1)))) <=> (gt(X0, X1) | (~releaselg(X1)) | (~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(35,plain,
% 0.19/0.40 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1)))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[34])).
% 0.19/0.40 tff(36,plain,
% 0.19/0.40 (^[X0: $i, X1: $i] : refl(((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1)))) <=> ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(37,plain,
% 0.19/0.40 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1)))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[36])).
% 0.19/0.40 tff(38,plain,
% 0.19/0.40 (![X0: $i] : ![X1: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1)))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1))))),
% 0.19/0.40 inference(pull_quant,[status(thm)],[])).
% 0.19/0.40 tff(39,plain,
% 0.19/0.40 (^[X0: $i] : pull_quant(((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) <=> ![X1: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(40,plain,
% 0.19/0.40 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) <=> ![X0: $i] : ![X1: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[39])).
% 0.19/0.40 tff(41,plain,
% 0.19/0.40 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1))))),
% 0.19/0.40 inference(transitivity,[status(thm)],[40, 38])).
% 0.19/0.40 tff(42,plain,
% 0.19/0.40 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1))))),
% 0.19/0.40 inference(transitivity,[status(thm)],[41, 37])).
% 0.19/0.40 tff(43,plain,
% 0.19/0.40 (^[X0: $i] : rewrite(((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) <=> ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(44,plain,
% 0.19/0.40 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[43])).
% 0.19/0.40 tff(45,plain,
% 0.19/0.40 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1))))),
% 0.19/0.40 inference(transitivity,[status(thm)],[44, 42])).
% 0.19/0.40 tff(46,plain,
% 0.19/0.40 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugbg(X1))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) <=> ![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugbg(X1))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(47,plain,
% 0.19/0.40 (^[X0: $i] : trans(monotonicity(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)))), 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))))), ((![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)))))), rewrite((![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))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1))))))),
% 0.19/0.40 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(48,plain,
% 0.19/0.40 (![X0: $i] : (![X1: $i] : ((~gt(X0, X1)) => drugbg(X1)) => ![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1)))) <=> ![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugbg(X1))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1))))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[47])).
% 0.19/0.40 tff(49,axiom,(![X0: $i] : (![X1: $i] : ((~gt(X0, X1)) => drugbg(X1)) => ![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))))), file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax','biguanide_effect')).
% 0.19/0.40 tff(50,plain,
% 0.19/0.40 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugbg(X1))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.19/0.40 tff(51,plain,
% 0.19/0.40 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugbg(X1))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[50, 46])).
% 0.19/0.40 tff(52,plain,(
% 0.19/0.40 ![X0: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1))))),
% 0.19/0.40 inference(skolemize,[status(sab)],[51])).
% 0.19/0.40 tff(53,plain,
% 0.19/0.40 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[52, 45])).
% 0.19/0.40 tff(54,plain,
% 0.19/0.40 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[53, 35])).
% 0.19/0.40 tff(55,plain,
% 0.19/0.40 (((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))))) | ((~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))) | gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))))) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))) | gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(56,plain,
% 0.19/0.40 ((gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0))))) <=> ((~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))) | gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(57,plain,
% 0.19/0.40 ((~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))) <=> (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(58,plain,
% 0.19/0.40 ((gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0))))) <=> (gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[57])).
% 0.19/0.40 tff(59,plain,
% 0.19/0.40 ((gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0))))) <=> ((~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))) | gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))),
% 0.19/0.40 inference(transitivity,[status(thm)],[58, 56])).
% 0.19/0.40 tff(60,plain,
% 0.19/0.40 (((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))))) | (gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))))) | ((~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))) | gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0)))))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[59])).
% 0.19/0.40 tff(61,plain,
% 0.19/0.40 (((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))))) | (gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))))) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))) | gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))),
% 0.19/0.41 inference(transitivity,[status(thm)],[60, 55])).
% 0.19/0.41 tff(62,plain,
% 0.19/0.41 ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))))) | (gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(63,plain,
% 0.19/0.41 ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))))) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))) | gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.19/0.41 tff(64,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[63, 54, 33, 7, 6])).
% 0.19/0.41 tff(65,plain,((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(66,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[65, 5, 3])).
% 0.19/0.41 tff(67,plain,(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(68,assumption,(~(gt(n0, tptp_fun_X1_1(n0)) | drugsu(tptp_fun_X1_1(n0)))), introduced(assumption)).
% 0.19/0.41 tff(69,plain,
% 0.19/0.41 ((gt(n0, tptp_fun_X1_1(n0)) | drugsu(tptp_fun_X1_1(n0))) | (~drugsu(tptp_fun_X1_1(n0)))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(70,plain,
% 0.19/0.41 (~drugsu(tptp_fun_X1_1(n0))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[69, 68])).
% 0.19/0.41 tff(71,plain,
% 0.19/0.41 ((gt(n0, tptp_fun_X1_1(n0)) | drugsu(tptp_fun_X1_1(n0))) | (~gt(n0, tptp_fun_X1_1(n0)))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(72,plain,
% 0.19/0.41 (~gt(n0, tptp_fun_X1_1(n0))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[71, 68])).
% 0.19/0.41 tff(73,assumption,((~drugbg(tptp_fun_X1_1(n0))) | (~drugsu(tptp_fun_X1_1(n0)))), introduced(assumption)).
% 0.19/0.41 tff(74,assumption,(~gt(n0, tptp_fun_X1_1(n0))), introduced(assumption)).
% 0.19/0.41 tff(75,plain,
% 0.19/0.41 (((~![X0: $i] : (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0)))))) | (gt(n0, tptp_fun_X1_1(n0)) | (~((~drugbg(tptp_fun_X1_1(n0))) | (~drugsu(tptp_fun_X1_1(n0))))))) <=> ((~![X0: $i] : (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0)))))) | gt(n0, tptp_fun_X1_1(n0)) | (~((~drugbg(tptp_fun_X1_1(n0))) | (~drugsu(tptp_fun_X1_1(n0))))))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(76,plain,
% 0.19/0.41 ((~![X0: $i] : (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0)))))) | (gt(n0, tptp_fun_X1_1(n0)) | (~((~drugbg(tptp_fun_X1_1(n0))) | (~drugsu(tptp_fun_X1_1(n0))))))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(77,plain,
% 0.19/0.41 ((~![X0: $i] : (gt(n0, X0) | (~((~drugbg(X0)) | (~drugsu(X0)))))) | gt(n0, tptp_fun_X1_1(n0)) | (~((~drugbg(tptp_fun_X1_1(n0))) | (~drugsu(tptp_fun_X1_1(n0)))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.19/0.41 tff(78,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[77, 28, 74, 73])).
% 0.19/0.41 tff(79,plain,((~((~drugbg(tptp_fun_X1_1(n0))) | (~drugsu(tptp_fun_X1_1(n0))))) | gt(n0, tptp_fun_X1_1(n0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(80,plain,
% 0.19/0.41 (~((~drugbg(tptp_fun_X1_1(n0))) | (~drugsu(tptp_fun_X1_1(n0))))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[79, 72])).
% 0.19/0.41 tff(81,plain,
% 0.19/0.41 (((~drugbg(tptp_fun_X1_1(n0))) | (~drugsu(tptp_fun_X1_1(n0)))) | drugsu(tptp_fun_X1_1(n0))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(82,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[81, 80, 70])).
% 0.19/0.41 tff(83,plain,(gt(n0, tptp_fun_X1_1(n0)) | drugsu(tptp_fun_X1_1(n0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(84,plain,
% 0.19/0.41 (bcapacityne(n0) <=> bcapacityne(n0)),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(85,plain,
% 0.19/0.41 (bcapacityne(n0)),
% 0.19/0.41 inference(and_elim,[status(thm)],[23])).
% 0.19/0.41 tff(86,plain,
% 0.19/0.41 (bcapacityne(n0)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.19/0.41 tff(87,plain,
% 0.19/0.41 (^[X0: $i] : refl(((~bcapacityex(X0)) | (~bcapacityne(X0))) <=> ((~bcapacityex(X0)) | (~bcapacityne(X0))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(88,plain,
% 0.19/0.41 (![X0: $i] : ((~bcapacityex(X0)) | (~bcapacityne(X0))) <=> ![X0: $i] : ((~bcapacityex(X0)) | (~bcapacityne(X0)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[87])).
% 0.19/0.41 tff(89,plain,
% 0.19/0.41 (![X0: $i] : ((~bcapacityex(X0)) | (~bcapacityne(X0))) <=> ![X0: $i] : ((~bcapacityex(X0)) | (~bcapacityne(X0)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(90,plain,
% 0.19/0.41 (^[X0: $i] : rewrite(((~bcapacityne(X0)) | (~bcapacityex(X0))) <=> ((~bcapacityex(X0)) | (~bcapacityne(X0))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(91,plain,
% 0.19/0.41 (![X0: $i] : ((~bcapacityne(X0)) | (~bcapacityex(X0))) <=> ![X0: $i] : ((~bcapacityex(X0)) | (~bcapacityne(X0)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[90])).
% 0.19/0.41 tff(92,axiom,(![X0: $i] : ((~bcapacityne(X0)) | (~bcapacityex(X0)))), file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax','xorcapacity2')).
% 0.19/0.41 tff(93,plain,
% 0.19/0.41 (![X0: $i] : ((~bcapacityex(X0)) | (~bcapacityne(X0)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.19/0.41 tff(94,plain,
% 0.19/0.41 (![X0: $i] : ((~bcapacityex(X0)) | (~bcapacityne(X0)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[93, 89])).
% 0.19/0.41 tff(95,plain,(
% 0.19/0.41 ![X0: $i] : ((~bcapacityex(X0)) | (~bcapacityne(X0)))),
% 0.19/0.41 inference(skolemize,[status(sab)],[94])).
% 0.19/0.41 tff(96,plain,
% 0.19/0.41 (![X0: $i] : ((~bcapacityex(X0)) | (~bcapacityne(X0)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[95, 88])).
% 0.19/0.41 tff(97,plain,
% 0.19/0.41 (((~![X0: $i] : ((~bcapacityex(X0)) | (~bcapacityne(X0)))) | ((~bcapacityex(n0)) | (~bcapacityne(n0)))) <=> ((~![X0: $i] : ((~bcapacityex(X0)) | (~bcapacityne(X0)))) | (~bcapacityex(n0)) | (~bcapacityne(n0)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(98,plain,
% 0.19/0.41 ((~![X0: $i] : ((~bcapacityex(X0)) | (~bcapacityne(X0)))) | ((~bcapacityex(n0)) | (~bcapacityne(n0)))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(99,plain,
% 0.19/0.41 ((~![X0: $i] : ((~bcapacityex(X0)) | (~bcapacityne(X0)))) | (~bcapacityex(n0)) | (~bcapacityne(n0))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.19/0.41 tff(100,plain,
% 0.19/0.41 (~bcapacityex(n0)),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[99, 96, 86])).
% 0.19/0.41 tff(101,plain,
% 0.19/0.41 (^[X0: $i] : trans(monotonicity(rewrite((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) <=> (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))), ((bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))))), rewrite((bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))), ((bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(102,plain,
% 0.19/0.41 (![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> ![X0: $i] : (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[101])).
% 0.19/0.41 tff(103,plain,
% 0.19/0.41 (^[X0: $i] : refl((bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(104,plain,
% 0.19/0.41 (![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> ![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[103])).
% 0.19/0.41 tff(105,plain,
% 0.19/0.41 (^[X0: $i] : rewrite((bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(106,plain,
% 0.19/0.41 (![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> ![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[105])).
% 0.19/0.41 tff(107,plain,
% 0.19/0.41 (![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) <=> ![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))),
% 0.19/0.41 inference(transitivity,[status(thm)],[106, 104])).
% 0.19/0.41 tff(108,plain,
% 0.19/0.41 (^[X0: $i] : trans(monotonicity(trans(monotonicity(rewrite((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) <=> (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))), rewrite((~(~bcapacityex(X0))) <=> bcapacityex(X0)), (((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | (~(~bcapacityex(X0)))) <=> ((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | bcapacityex(X0)))), rewrite(((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | bcapacityex(X0)) <=> (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))), (((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | (~(~bcapacityex(X0)))) <=> (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))))), ((((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | (~(~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) <=> ((bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))))), rewrite(((bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0))))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) <=> (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))), ((((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | (~(~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) <=> (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(109,plain,
% 0.19/0.41 (![X0: $i] : (((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | (~(~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) <=> ![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[108])).
% 0.19/0.41 tff(110,plain,
% 0.19/0.41 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) <=> ![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(111,plain,
% 0.19/0.41 (^[X0: $i] : trans(monotonicity(rewrite((![X1: $i] : ((~gt(X0, X1)) => drugsu(X1)) & (~bcapacityex(X0))) <=> (![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))), quant_intro(proof_bind(^[X1: $i] : rewrite(((~gt(X0, X1)) => bsecretioni(X1)) <=> (gt(X0, X1) | bsecretioni(X1)))), (![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)) <=> ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))), (((![X1: $i] : ((~gt(X0, X1)) => drugsu(X1)) & (~bcapacityex(X0))) => ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1))) <=> ((![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0))) => ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))))), rewrite(((![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0))) => ![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) <=> ((~(![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))), (((![X1: $i] : ((~gt(X0, X1)) => drugsu(X1)) & (~bcapacityex(X0))) => ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1))) <=> ((~(![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(112,plain,
% 0.19/0.41 (![X0: $i] : ((![X1: $i] : ((~gt(X0, X1)) => drugsu(X1)) & (~bcapacityex(X0))) => ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1))) <=> ![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[111])).
% 0.19/0.41 tff(113,axiom,(![X0: $i] : ((![X1: $i] : ((~gt(X0, X1)) => drugsu(X1)) & (~bcapacityex(X0))) => ![X1: $i] : ((~gt(X0, X1)) => bsecretioni(X1)))), file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax','sulfonylurea_effect')).
% 0.19/0.41 tff(114,plain,
% 0.19/0.41 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.19/0.41 tff(115,plain,
% 0.19/0.41 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | drugsu(X1)) & (~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[114, 110])).
% 0.19/0.41 tff(116,plain,(
% 0.19/0.41 ![X0: $i] : (((~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | (~(~bcapacityex(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))),
% 0.19/0.41 inference(skolemize,[status(sab)],[115])).
% 0.19/0.41 tff(117,plain,
% 0.19/0.41 (![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[116, 109])).
% 0.19/0.41 tff(118,plain,
% 0.19/0.41 (![X0: $i] : (bcapacityex(X0) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[117, 107])).
% 0.19/0.41 tff(119,plain,
% 0.19/0.41 (![X0: $i] : (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[118, 102])).
% 0.19/0.41 tff(120,plain,
% 0.19/0.41 (((~![X0: $i] : (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))) | (bcapacityex(n0) | (~(gt(n0, tptp_fun_X1_1(n0)) | drugsu(tptp_fun_X1_1(n0)))) | ![X1: $i] : (gt(n0, X1) | bsecretioni(X1)))) <=> ((~![X0: $i] : (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))) | bcapacityex(n0) | (~(gt(n0, tptp_fun_X1_1(n0)) | drugsu(tptp_fun_X1_1(n0)))) | ![X1: $i] : (gt(n0, X1) | bsecretioni(X1)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(121,plain,
% 0.19/0.41 ((~![X0: $i] : (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))) | (bcapacityex(n0) | (~(gt(n0, tptp_fun_X1_1(n0)) | drugsu(tptp_fun_X1_1(n0)))) | ![X1: $i] : (gt(n0, X1) | bsecretioni(X1)))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(122,plain,
% 0.19/0.41 ((~![X0: $i] : (bcapacityex(X0) | (~(gt(X0, tptp_fun_X1_1(X0)) | drugsu(tptp_fun_X1_1(X0)))) | ![X1: $i] : (gt(X0, X1) | bsecretioni(X1)))) | bcapacityex(n0) | (~(gt(n0, tptp_fun_X1_1(n0)) | drugsu(tptp_fun_X1_1(n0)))) | ![X1: $i] : (gt(n0, X1) | bsecretioni(X1))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.19/0.41 tff(123,plain,
% 0.19/0.41 ((~(gt(n0, tptp_fun_X1_1(n0)) | drugsu(tptp_fun_X1_1(n0)))) | ![X1: $i] : (gt(n0, X1) | bsecretioni(X1))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[122, 119, 100])).
% 0.19/0.41 tff(124,plain,
% 0.19/0.41 (![X1: $i] : (gt(n0, X1) | bsecretioni(X1))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[123, 83])).
% 0.19/0.41 tff(125,assumption,(~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))), introduced(assumption)).
% 0.19/0.41 tff(126,plain,
% 0.19/0.41 ((gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0))) | (~gt(n0, tptp_fun_X1_3(n0)))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(127,plain,
% 0.19/0.41 (~gt(n0, tptp_fun_X1_3(n0))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[126, 125])).
% 0.19/0.41 tff(128,plain,
% 0.19/0.41 ((gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0))) | (~bsecretioni(tptp_fun_X1_3(n0)))),
% 0.19/0.41 inference(tautology,[status(thm)],[])).
% 0.19/0.41 tff(129,plain,
% 0.19/0.41 (~bsecretioni(tptp_fun_X1_3(n0))),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[128, 125])).
% 0.19/0.41 tff(130,assumption,(![X1: $i] : (gt(n0, X1) | bsecretioni(X1))), introduced(assumption)).
% 0.19/0.41 tff(131,assumption,(~bsecretioni(tptp_fun_X1_3(n0))), introduced(assumption)).
% 0.19/0.41 tff(132,assumption,(~gt(n0, tptp_fun_X1_3(n0))), introduced(assumption)).
% 0.19/0.41 tff(133,plain,
% 0.19/0.41 (((~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) <=> ((~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(134,plain,
% 0.19/0.41 ((~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(135,plain,
% 0.19/0.41 ((~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[134, 133])).
% 0.19/0.41 tff(136,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[135, 132, 131, 130])).
% 0.19/0.41 tff(137,plain,(bsecretioni(tptp_fun_X1_3(n0)) | gt(n0, tptp_fun_X1_3(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(138,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[137, 129, 127, 124])).
% 0.19/0.41 tff(139,plain,(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(140,assumption,(![X1: $i] : (conditionnormo(X1) | gt(n0, X1))), introduced(assumption)).
% 0.19/0.41 tff(141,plain,
% 0.19/0.41 ((~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))) <=> (~![X0: $i] : (conditionnormo(X0) | gt(n0, X0)))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(142,plain,
% 0.19/0.41 (~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 0.19/0.41 inference(or_elim,[status(thm)],[22])).
% 0.19/0.41 tff(143,plain,
% 0.19/0.41 (~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[142, 141])).
% 0.19/0.41 tff(144,plain,
% 0.19/0.41 (~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[143, 141])).
% 0.19/0.41 tff(145,plain,
% 0.19/0.41 (~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[144, 141])).
% 0.19/0.41 tff(146,plain,
% 0.19/0.41 (~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[145, 141])).
% 0.19/0.41 tff(147,plain,
% 0.19/0.41 (~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[146, 141])).
% 0.19/0.41 tff(148,plain,
% 0.19/0.41 (~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[147, 141])).
% 0.19/0.41 tff(149,plain,(
% 0.19/0.41 ~(conditionnormo(X0!8) | gt(n0, X0!8))),
% 0.19/0.41 inference(skolemize,[status(sab)],[148])).
% 0.19/0.41 tff(150,plain,
% 0.19/0.41 (~gt(n0, X0!8)),
% 0.19/0.41 inference(or_elim,[status(thm)],[149])).
% 0.19/0.41 tff(151,plain,
% 0.19/0.41 (~conditionnormo(X0!8)),
% 0.19/0.41 inference(or_elim,[status(thm)],[149])).
% 0.19/0.41 tff(152,plain,
% 0.19/0.41 (((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | (conditionnormo(X0!8) | gt(n0, X0!8))) <=> ((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | conditionnormo(X0!8) | gt(n0, X0!8))),
% 0.19/0.41 inference(rewrite,[status(thm)],[])).
% 0.19/0.41 tff(153,plain,
% 0.19/0.41 ((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | (conditionnormo(X0!8) | gt(n0, X0!8))),
% 0.19/0.41 inference(quant_inst,[status(thm)],[])).
% 0.19/0.41 tff(154,plain,
% 0.19/0.41 ((~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))) | conditionnormo(X0!8) | gt(n0, X0!8)),
% 0.19/0.41 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.19/0.41 tff(155,plain,
% 0.19/0.41 ($false),
% 0.19/0.41 inference(unit_resolution,[status(thm)],[154, 151, 150, 140])).
% 0.19/0.41 tff(156,plain,(~![X1: $i] : (conditionnormo(X1) | gt(n0, X1))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.41 tff(157,plain,
% 0.19/0.41 (^[X0: $i] : trans(monotonicity(rewrite((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) <=> (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0))))), rewrite((~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) <=> (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))), rewrite((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) <=> (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))), (((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) <=> ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))))), rewrite(((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) <=> ((~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))), (((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) <=> ((~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(158,plain,
% 0.19/0.41 (![X0: $i] : ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) <=> ![X0: $i] : ((~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))),
% 0.19/0.41 inference(quant_intro,[status(thm)],[157])).
% 0.19/0.41 tff(159,plain,
% 0.19/0.41 (^[X0: $i] : refl(((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) <=> ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))))),
% 0.19/0.41 inference(bind,[status(th)],[])).
% 0.19/0.41 tff(160,plain,
% 0.19/0.41 (![X0: $i] : ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) <=> ![X0: $i] : ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[159])).
% 0.19/0.42 tff(161,plain,
% 0.19/0.42 (^[X0: $i] : rewrite(((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) <=> ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(162,plain,
% 0.19/0.42 (![X0: $i] : ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) <=> ![X0: $i] : ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[161])).
% 0.19/0.42 tff(163,plain,
% 0.19/0.42 (![X0: $i] : ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) <=> ![X0: $i] : ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))))),
% 0.19/0.42 inference(transitivity,[status(thm)],[162, 160])).
% 0.19/0.42 tff(164,plain,
% 0.19/0.42 (^[X0: $i] : trans(monotonicity(rewrite((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) <=> (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0))))), rewrite((~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) <=> (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))), 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, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) <=> (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))), (((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) <=> ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))))), rewrite(((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) <=> (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))), (((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) <=> (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))))), (((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))))) <=> ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))))), rewrite(((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) <=> ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))))), (((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))))) <=> ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(165,plain,
% 0.19/0.42 (![X0: $i] : ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))))) <=> ![X0: $i] : ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[164])).
% 0.19/0.42 tff(166,plain,
% 0.19/0.42 (^[X0: $i] : trans(monotonicity(trans(monotonicity(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, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) <=> (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))), (((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) <=> ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))))), rewrite((~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) <=> (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0))))), rewrite((~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) <=> (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))), ((((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) | (~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) <=> (((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) | (~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))))), rewrite((((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) | (~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) <=> ((~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))))), ((((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) | (~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) <=> ((~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))))))), (((((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) | (~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) <=> (((~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))))), rewrite((((~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) <=> ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))))), (((((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) | (~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) <=> ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(167,plain,
% 0.19/0.42 (![X0: $i] : ((((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) | (~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1))) <=> ![X0: $i] : ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[166])).
% 0.19/0.42 tff(168,plain,
% 0.19/0.42 (![X0: $i] : ((~((![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) | conditionnormo(X1))) <=> ![X0: $i] : ((~((![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) | conditionnormo(X1)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(169,plain,
% 0.19/0.42 (^[X0: $i] : trans(monotonicity(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))))), quant_intro(proof_bind(^[X1: $i] : rewrite(((~gt(X0, X1)) => conditionnormo(X1)) <=> (gt(X0, X1) | conditionnormo(X1)))), (![X1: $i] : ((~gt(X0, X1)) => conditionnormo(X1)) <=> ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))), ((((((![X1: $i] : ((~gt(X0, X1)) => (~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)) => conditionnormo(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) | conditionnormo(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) | conditionnormo(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) | conditionnormo(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)) => conditionnormo(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) | conditionnormo(X1)))))),
% 0.19/0.42 inference(bind,[status(th)],[])).
% 0.19/0.42 tff(170,plain,
% 0.19/0.42 (![X0: $i] : (((((![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)) => conditionnormo(X1))) <=> ![X0: $i] : ((~((![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) | conditionnormo(X1)))),
% 0.19/0.42 inference(quant_intro,[status(thm)],[169])).
% 0.19/0.42 tff(171,axiom,(![X0: $i] : (((((![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)) => conditionnormo(X1)))), file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax','ne_cure')).
% 0.19/0.42 tff(172,plain,
% 0.19/0.42 (![X0: $i] : ((~((![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) | conditionnormo(X1)))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[171, 170])).
% 0.19/0.42 tff(173,plain,
% 0.19/0.42 (![X0: $i] : ((~((![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) | conditionnormo(X1)))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[172, 168])).
% 0.19/0.42 tff(174,plain,(
% 0.19/0.42 ![X0: $i] : ((((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) | (~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))),
% 0.19/0.42 inference(skolemize,[status(sab)],[173])).
% 0.19/0.42 tff(175,plain,
% 0.19/0.42 (![X0: $i] : ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[174, 167])).
% 0.19/0.42 tff(176,plain,
% 0.19/0.42 (![X0: $i] : ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[175, 165])).
% 0.19/0.42 tff(177,plain,
% 0.19/0.42 (![X0: $i] : ((~bcapacityne(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[176, 163])).
% 0.19/0.42 tff(178,plain,
% 0.19/0.42 (![X0: $i] : ((~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))),
% 0.19/0.42 inference(modus_ponens,[status(thm)],[177, 158])).
% 0.19/0.42 tff(179,plain,
% 0.19/0.42 (((~![X0: $i] : ((~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) | ((~bcapacityne(n0)) | (~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))) <=> ((~![X0: $i] : ((~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) | (~bcapacityne(n0)) | (~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(180,plain,
% 0.19/0.42 (((~bcapacityne(n0)) | (~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)))) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1))) <=> ((~bcapacityne(n0)) | (~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))),
% 0.19/0.42 inference(rewrite,[status(thm)],[])).
% 0.19/0.42 tff(181,plain,
% 0.19/0.42 (((~![X0: $i] : ((~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) | ((~bcapacityne(n0)) | (~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)))) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1)))) <=> ((~![X0: $i] : ((~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) | ((~bcapacityne(n0)) | (~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[180])).
% 0.19/0.43 tff(182,plain,
% 0.19/0.43 (((~![X0: $i] : ((~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) | ((~bcapacityne(n0)) | (~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)))) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1)))) <=> ((~![X0: $i] : ((~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) | (~bcapacityne(n0)) | (~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1)))),
% 0.19/0.43 inference(transitivity,[status(thm)],[181, 179])).
% 0.19/0.43 tff(183,plain,
% 0.19/0.43 ((~![X0: $i] : ((~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) | ((~bcapacityne(n0)) | (~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)))) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1)))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(184,plain,
% 0.19/0.43 ((~![X0: $i] : ((~bcapacityne(X0)) | (~(gt(X0, tptp_fun_X1_3(X0)) | bsecretioni(tptp_fun_X1_3(X0)))) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))) | gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1)))) | (~bcapacityne(n0)) | (~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.19/0.43 tff(185,plain,
% 0.19/0.43 ((~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)))) | ![X1: $i] : (conditionnormo(X1) | gt(n0, X1))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[184, 178, 86])).
% 0.19/0.43 tff(186,plain,
% 0.19/0.43 ((~(gt(n0, tptp_fun_X1_3(n0)) | bsecretioni(tptp_fun_X1_3(n0)))) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0))))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[185, 156])).
% 0.19/0.43 tff(187,plain,
% 0.19/0.43 (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[186, 139, 67])).
% 0.19/0.43 tff(188,plain,
% 0.19/0.43 (((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0))) | gt(n0, tptp_fun_X1_4(n0))),
% 0.19/0.43 inference(tautology,[status(thm)],[])).
% 0.19/0.43 tff(189,plain,
% 0.19/0.43 (gt(n0, tptp_fun_X1_4(n0))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[188, 187])).
% 0.19/0.43 tff(190,plain,
% 0.19/0.43 (((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0))) | (~conditionhyper(tptp_fun_X1_4(n0)))),
% 0.19/0.43 inference(tautology,[status(thm)],[])).
% 0.19/0.43 tff(191,plain,
% 0.19/0.43 (~conditionhyper(tptp_fun_X1_4(n0))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[190, 187])).
% 0.19/0.43 tff(192,assumption,(~conditionhyper(tptp_fun_X1_4(n0))), introduced(assumption)).
% 0.19/0.43 tff(193,assumption,(gt(n0, tptp_fun_X1_4(n0))), introduced(assumption)).
% 0.19/0.43 tff(194,plain,
% 0.19/0.43 (^[X0: $i] : refl((conditionhyper(X0) | (~gt(n0, X0))) <=> (conditionhyper(X0) | (~gt(n0, X0))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(195,plain,
% 0.19/0.43 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) <=> ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[194])).
% 0.19/0.43 tff(196,plain,
% 0.19/0.43 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) <=> ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(197,plain,
% 0.19/0.43 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.19/0.43 inference(and_elim,[status(thm)],[23])).
% 0.19/0.43 tff(198,plain,
% 0.19/0.43 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[197, 196])).
% 0.19/0.43 tff(199,plain,(
% 0.19/0.43 ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.19/0.43 inference(skolemize,[status(sab)],[198])).
% 0.19/0.43 tff(200,plain,
% 0.19/0.43 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[199, 195])).
% 0.19/0.43 tff(201,plain,
% 0.19/0.43 (((~![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))) | (conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) <=> ((~![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))) | conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(202,plain,
% 0.19/0.43 ((~![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))) | (conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(203,plain,
% 0.19/0.43 ((~![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))) | conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[202, 201])).
% 0.19/0.43 tff(204,plain,
% 0.19/0.43 ($false),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[203, 200, 193, 192])).
% 0.19/0.43 tff(205,plain,((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.43 tff(206,plain,
% 0.19/0.43 ($false),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[205, 191, 189])).
% 0.19/0.43 % SZS output end Proof
%------------------------------------------------------------------------------