TSTP Solution File: MED006+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MED006+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n002.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 20.74s 13.26s
% Output : Proof 20.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MED006+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n002.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 02:46:16 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.
% 20.74/13.26 % SZS status Theorem
% 20.74/13.26 % SZS output start Proof
% 20.74/13.26 tff(gt_type, type, (
% 20.74/13.26 gt: ( $i * $i ) > $o)).
% 20.74/13.26 tff(n0_type, type, (
% 20.74/13.26 n0: $i)).
% 20.74/13.26 tff(releaselg_type, type, (
% 20.74/13.26 releaselg: $i > $o)).
% 20.74/13.26 tff(tptp_fun_X1_5_type, type, (
% 20.74/13.26 tptp_fun_X1_5: $i > $i)).
% 20.74/13.26 tff(uptakepg_type, type, (
% 20.74/13.26 uptakepg: $i > $o)).
% 20.74/13.26 tff(uptakelg_type, type, (
% 20.74/13.26 uptakelg: $i > $o)).
% 20.74/13.26 tff(drugi_type, type, (
% 20.74/13.26 drugi: $i > $o)).
% 20.74/13.26 tff(tptp_fun_X1_0_type, type, (
% 20.74/13.26 tptp_fun_X1_0: $i > $i)).
% 20.74/13.26 tff(tptp_fun_X1_7_type, type, (
% 20.74/13.26 tptp_fun_X1_7: $i > $i)).
% 20.74/13.26 tff(tptp_fun_X1_6_type, type, (
% 20.74/13.26 tptp_fun_X1_6: $i > $i)).
% 20.74/13.26 tff(conditionhyper_type, type, (
% 20.74/13.26 conditionhyper: $i > $o)).
% 20.74/13.26 tff(bsecretioni_type, type, (
% 20.74/13.26 bsecretioni: $i > $o)).
% 20.74/13.26 tff(bcapacityne_type, type, (
% 20.74/13.26 bcapacityne: $i > $o)).
% 20.74/13.26 tff(drugbg_type, type, (
% 20.74/13.26 drugbg: $i > $o)).
% 20.74/13.26 tff(tptp_fun_X1_2_type, type, (
% 20.74/13.26 tptp_fun_X1_2: $i > $i)).
% 20.74/13.26 tff(bcapacityex_type, type, (
% 20.74/13.26 bcapacityex: $i > $o)).
% 20.74/13.26 tff(conditionnormo_type, type, (
% 20.74/13.26 conditionnormo: $i > $o)).
% 20.74/13.26 tff(tptp_fun_X1_8_type, type, (
% 20.74/13.26 tptp_fun_X1_8: $i > $i)).
% 20.74/13.26 tff(qilt27_type, type, (
% 20.74/13.26 qilt27: $i > $o)).
% 20.74/13.26 tff(bcapacitysn_type, type, (
% 20.74/13.26 bcapacitysn: $i > $o)).
% 20.74/13.26 tff(s1_type, type, (
% 20.74/13.26 s1: $i > $o)).
% 20.74/13.26 tff(s3_type, type, (
% 20.74/13.26 s3: $i > $o)).
% 20.74/13.26 tff(s2_type, type, (
% 20.74/13.26 s2: $i > $o)).
% 20.74/13.26 tff(1,assumption,(gt(n0, n0)), introduced(assumption)).
% 20.74/13.26 tff(2,plain,
% 20.74/13.26 (^[X: $i] : refl((~gt(X, X)) <=> (~gt(X, X)))),
% 20.74/13.26 inference(bind,[status(th)],[])).
% 20.74/13.26 tff(3,plain,
% 20.74/13.26 (![X: $i] : (~gt(X, X)) <=> ![X: $i] : (~gt(X, X))),
% 20.74/13.26 inference(quant_intro,[status(thm)],[2])).
% 20.74/13.26 tff(4,plain,
% 20.74/13.26 (![X: $i] : (~gt(X, X)) <=> ![X: $i] : (~gt(X, X))),
% 20.74/13.26 inference(rewrite,[status(thm)],[])).
% 20.74/13.26 tff(5,axiom,(![X: $i] : (~gt(X, X))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax','irreflexivity_gt')).
% 20.74/13.26 tff(6,plain,
% 20.74/13.26 (![X: $i] : (~gt(X, X))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[5, 4])).
% 20.74/13.26 tff(7,plain,(
% 20.74/13.26 ![X: $i] : (~gt(X, X))),
% 20.74/13.26 inference(skolemize,[status(sab)],[6])).
% 20.74/13.26 tff(8,plain,
% 20.74/13.26 (![X: $i] : (~gt(X, X))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[7, 3])).
% 20.74/13.26 tff(9,plain,
% 20.74/13.26 ((~![X: $i] : (~gt(X, X))) | (~gt(n0, n0))),
% 20.74/13.26 inference(quant_inst,[status(thm)],[])).
% 20.74/13.26 tff(10,plain,
% 20.74/13.26 ($false),
% 20.74/13.26 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 20.74/13.26 tff(11,plain,(~gt(n0, n0)), inference(lemma,lemma(discharge,[]))).
% 20.74/13.26 tff(12,assumption,(~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))), introduced(assumption)).
% 20.74/13.26 tff(13,plain,
% 20.74/13.26 ((gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0)))) | releaselg(tptp_fun_X1_5(n0))),
% 20.74/13.26 inference(tautology,[status(thm)],[])).
% 20.74/13.26 tff(14,plain,
% 20.74/13.26 (releaselg(tptp_fun_X1_5(n0))),
% 20.74/13.26 inference(unit_resolution,[status(thm)],[13, 12])).
% 20.74/13.26 tff(15,plain,
% 20.74/13.26 ((gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0)))) | (~gt(n0, tptp_fun_X1_5(n0)))),
% 20.74/13.26 inference(tautology,[status(thm)],[])).
% 20.74/13.26 tff(16,plain,
% 20.74/13.26 (~gt(n0, tptp_fun_X1_5(n0))),
% 20.74/13.26 inference(unit_resolution,[status(thm)],[15, 12])).
% 20.74/13.26 tff(17,plain,
% 20.74/13.26 (^[X0: $i, X1: $i] : refl((gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1))) <=> (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1))))),
% 20.74/13.26 inference(bind,[status(th)],[])).
% 20.74/13.26 tff(18,plain,
% 20.74/13.26 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 20.74/13.26 inference(quant_intro,[status(thm)],[17])).
% 20.74/13.26 tff(19,plain,
% 20.74/13.26 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 20.74/13.26 inference(rewrite,[status(thm)],[])).
% 20.74/13.26 tff(20,plain,
% 20.74/13.26 (^[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)))))),
% 20.74/13.26 inference(bind,[status(th)],[])).
% 20.74/13.26 tff(21,plain,
% 20.74/13.26 (![X0: $i, X1: $i] : ((~gt(X0, X1)) => (uptakelg(X1) => (~releaselg(X1)))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 20.74/13.26 inference(quant_intro,[status(thm)],[20])).
% 20.74/13.26 tff(22,axiom,(![X0: $i, X1: $i] : ((~gt(X0, X1)) => (uptakelg(X1) => (~releaselg(X1))))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax','liver_glucose')).
% 20.74/13.26 tff(23,plain,
% 20.74/13.26 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[22, 21])).
% 20.74/13.26 tff(24,plain,
% 20.74/13.26 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[23, 19])).
% 20.74/13.26 tff(25,plain,(
% 20.74/13.26 ![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 20.74/13.26 inference(skolemize,[status(sab)],[24])).
% 20.74/13.26 tff(26,plain,
% 20.74/13.26 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[25, 18])).
% 20.74/13.26 tff(27,plain,
% 20.74/13.26 (((~![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)))) | gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | (~uptakelg(tptp_fun_X1_5(n0))))),
% 20.74/13.26 inference(rewrite,[status(thm)],[])).
% 20.74/13.26 tff(28,plain,
% 20.74/13.26 ((~![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))))),
% 20.74/13.26 inference(quant_inst,[status(thm)],[])).
% 20.74/13.26 tff(29,plain,
% 20.74/13.26 ((~![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)))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[28, 27])).
% 20.74/13.26 tff(30,plain,
% 20.74/13.26 (~uptakelg(tptp_fun_X1_5(n0))),
% 20.74/13.26 inference(unit_resolution,[status(thm)],[29, 26, 16, 14])).
% 20.74/13.26 tff(31,plain,
% 20.74/13.26 (((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0)))) | uptakelg(tptp_fun_X1_5(n0))),
% 20.74/13.26 inference(tautology,[status(thm)],[])).
% 20.74/13.26 tff(32,plain,
% 20.74/13.26 ((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0)))),
% 20.74/13.26 inference(unit_resolution,[status(thm)],[31, 30])).
% 20.74/13.26 tff(33,assumption,(~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))), introduced(assumption)).
% 20.74/13.26 tff(34,plain,
% 20.74/13.26 ((gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))) | (~uptakelg(tptp_fun_X1_7(n0)))),
% 20.74/13.26 inference(tautology,[status(thm)],[])).
% 20.74/13.26 tff(35,plain,
% 20.74/13.26 (~uptakelg(tptp_fun_X1_7(n0))),
% 20.74/13.26 inference(unit_resolution,[status(thm)],[34, 33])).
% 20.74/13.26 tff(36,plain,
% 20.74/13.26 ((gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))) | (~gt(n0, tptp_fun_X1_7(n0)))),
% 20.74/13.26 inference(tautology,[status(thm)],[])).
% 20.74/13.26 tff(37,plain,
% 20.74/13.26 (~gt(n0, tptp_fun_X1_7(n0))),
% 20.74/13.26 inference(unit_resolution,[status(thm)],[36, 33])).
% 20.74/13.26 tff(38,plain,
% 20.74/13.26 (^[X0: $i, X1: $i] : refl((gt(X0, X1) | uptakelg(X1) | releaselg(X1)) <=> (gt(X0, X1) | uptakelg(X1) | releaselg(X1)))),
% 20.74/13.26 inference(bind,[status(th)],[])).
% 20.74/13.26 tff(39,plain,
% 20.74/13.26 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1)) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 20.74/13.26 inference(quant_intro,[status(thm)],[38])).
% 20.74/13.26 tff(40,plain,
% 20.74/13.26 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1)) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 20.74/13.26 inference(rewrite,[status(thm)],[])).
% 20.74/13.26 tff(41,plain,
% 20.74/13.26 (^[X0: $i, X1: $i] : trans(monotonicity(rewrite(((~releaselg(X1)) => uptakelg(X1)) <=> (releaselg(X1) | uptakelg(X1))), (((~gt(X0, X1)) => ((~releaselg(X1)) => uptakelg(X1))) <=> ((~gt(X0, X1)) => (releaselg(X1) | uptakelg(X1))))), rewrite(((~gt(X0, X1)) => (releaselg(X1) | uptakelg(X1))) <=> (gt(X0, X1) | uptakelg(X1) | releaselg(X1))), (((~gt(X0, X1)) => ((~releaselg(X1)) => uptakelg(X1))) <=> (gt(X0, X1) | uptakelg(X1) | releaselg(X1))))),
% 20.74/13.26 inference(bind,[status(th)],[])).
% 20.74/13.26 tff(42,plain,
% 20.74/13.26 (![X0: $i, X1: $i] : ((~gt(X0, X1)) => ((~releaselg(X1)) => uptakelg(X1))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 20.74/13.26 inference(quant_intro,[status(thm)],[41])).
% 20.74/13.26 tff(43,axiom,(![X0: $i, X1: $i] : ((~gt(X0, X1)) => ((~releaselg(X1)) => uptakelg(X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','uptake_completion')).
% 20.74/13.26 tff(44,plain,
% 20.74/13.26 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[43, 42])).
% 20.74/13.26 tff(45,plain,
% 20.74/13.26 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[44, 40])).
% 20.74/13.26 tff(46,plain,(
% 20.74/13.26 ![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 20.74/13.26 inference(skolemize,[status(sab)],[45])).
% 20.74/13.26 tff(47,plain,
% 20.74/13.26 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[46, 39])).
% 20.74/13.26 tff(48,plain,
% 20.74/13.26 (((~![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))) | (gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)) | releaselg(tptp_fun_X1_7(n0)))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)) | releaselg(tptp_fun_X1_7(n0)))),
% 20.74/13.26 inference(rewrite,[status(thm)],[])).
% 20.74/13.26 tff(49,plain,
% 20.74/13.26 ((~![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))) | (gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)) | releaselg(tptp_fun_X1_7(n0)))),
% 20.74/13.26 inference(quant_inst,[status(thm)],[])).
% 20.74/13.26 tff(50,plain,
% 20.74/13.26 ((~![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)) | releaselg(tptp_fun_X1_7(n0))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[49, 48])).
% 20.74/13.26 tff(51,plain,
% 20.74/13.26 (releaselg(tptp_fun_X1_7(n0))),
% 20.74/13.26 inference(unit_resolution,[status(thm)],[50, 47, 37, 35])).
% 20.74/13.26 tff(52,plain,
% 20.74/13.26 (^[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)))))))),
% 20.74/13.26 inference(bind,[status(th)],[])).
% 20.74/13.26 tff(53,plain,
% 20.74/13.26 (![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)))))),
% 20.74/13.26 inference(quant_intro,[status(thm)],[52])).
% 20.74/13.26 tff(54,plain,
% 20.74/13.26 (^[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)))))),
% 20.74/13.26 inference(bind,[status(th)],[])).
% 20.74/13.26 tff(55,plain,
% 20.74/13.26 (![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))))),
% 20.74/13.26 inference(quant_intro,[status(thm)],[54])).
% 20.74/13.26 tff(56,plain,
% 20.74/13.26 (![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))))),
% 20.74/13.26 inference(pull_quant,[status(thm)],[])).
% 20.74/13.26 tff(57,plain,
% 20.74/13.26 (^[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)))))),
% 20.74/13.26 inference(bind,[status(th)],[])).
% 20.74/13.26 tff(58,plain,
% 20.74/13.26 (![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))))),
% 20.74/13.26 inference(quant_intro,[status(thm)],[57])).
% 20.74/13.26 tff(59,plain,
% 20.74/13.26 (![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))))),
% 20.74/13.26 inference(transitivity,[status(thm)],[58, 56])).
% 20.74/13.26 tff(60,plain,
% 20.74/13.26 (![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))))),
% 20.74/13.26 inference(transitivity,[status(thm)],[59, 55])).
% 20.74/13.26 tff(61,plain,
% 20.74/13.26 (^[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)))))),
% 20.74/13.26 inference(bind,[status(th)],[])).
% 20.74/13.26 tff(62,plain,
% 20.74/13.26 (![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))))),
% 20.74/13.26 inference(quant_intro,[status(thm)],[61])).
% 20.74/13.26 tff(63,plain,
% 20.74/13.26 (![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))))),
% 20.74/13.26 inference(transitivity,[status(thm)],[62, 60])).
% 20.74/13.26 tff(64,plain,
% 20.74/13.26 (![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))))),
% 20.74/13.26 inference(rewrite,[status(thm)],[])).
% 20.74/13.26 tff(65,plain,
% 20.74/13.26 (^[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))))))),
% 20.74/13.26 inference(bind,[status(th)],[])).
% 20.74/13.26 tff(66,plain,
% 20.74/13.26 (![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))))),
% 20.74/13.26 inference(quant_intro,[status(thm)],[65])).
% 20.74/13.26 tff(67,axiom,(![X0: $i] : (![X1: $i] : ((~gt(X0, X1)) => drugbg(X1)) => ![X1: $i] : ((~gt(X0, X1)) => (~releaselg(X1))))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax','biguanide_effect')).
% 20.74/13.26 tff(68,plain,
% 20.74/13.26 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugbg(X1))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1))))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[67, 66])).
% 20.74/13.26 tff(69,plain,
% 20.74/13.26 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugbg(X1))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1))))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[68, 64])).
% 20.74/13.26 tff(70,plain,(
% 20.74/13.26 ![X0: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1))))),
% 20.74/13.26 inference(skolemize,[status(sab)],[69])).
% 20.74/13.26 tff(71,plain,
% 20.74/13.26 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1))))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[70, 63])).
% 20.74/13.26 tff(72,plain,
% 20.74/13.26 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[71, 53])).
% 20.74/13.26 tff(73,plain,
% 20.74/13.26 (((~![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_7(n0)) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))) | (~releaselg(tptp_fun_X1_7(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_7(n0)) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))) | (~releaselg(tptp_fun_X1_7(n0))))),
% 20.74/13.26 inference(rewrite,[status(thm)],[])).
% 20.74/13.26 tff(74,plain,
% 20.74/13.26 ((gt(n0, tptp_fun_X1_7(n0)) | (~releaselg(tptp_fun_X1_7(n0))) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0))))) <=> (gt(n0, tptp_fun_X1_7(n0)) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))) | (~releaselg(tptp_fun_X1_7(n0))))),
% 20.74/13.26 inference(rewrite,[status(thm)],[])).
% 20.74/13.26 tff(75,plain,
% 20.74/13.26 ((~(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))))),
% 20.74/13.26 inference(rewrite,[status(thm)],[])).
% 20.74/13.26 tff(76,plain,
% 20.74/13.26 ((gt(n0, tptp_fun_X1_7(n0)) | (~releaselg(tptp_fun_X1_7(n0))) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0))))) <=> (gt(n0, tptp_fun_X1_7(n0)) | (~releaselg(tptp_fun_X1_7(n0))) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))))),
% 20.74/13.26 inference(monotonicity,[status(thm)],[75])).
% 20.74/13.26 tff(77,plain,
% 20.74/13.26 ((gt(n0, tptp_fun_X1_7(n0)) | (~releaselg(tptp_fun_X1_7(n0))) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0))))) <=> (gt(n0, tptp_fun_X1_7(n0)) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))) | (~releaselg(tptp_fun_X1_7(n0))))),
% 20.74/13.26 inference(transitivity,[status(thm)],[76, 74])).
% 20.74/13.26 tff(78,plain,
% 20.74/13.26 (((~![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_7(n0)) | (~releaselg(tptp_fun_X1_7(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_7(n0)) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))) | (~releaselg(tptp_fun_X1_7(n0)))))),
% 20.74/13.26 inference(monotonicity,[status(thm)],[77])).
% 20.74/13.26 tff(79,plain,
% 20.74/13.26 (((~![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_7(n0)) | (~releaselg(tptp_fun_X1_7(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_7(n0)) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))) | (~releaselg(tptp_fun_X1_7(n0))))),
% 20.74/13.26 inference(transitivity,[status(thm)],[78, 73])).
% 20.74/13.26 tff(80,plain,
% 20.74/13.26 ((~![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_7(n0)) | (~releaselg(tptp_fun_X1_7(n0))) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))))),
% 20.74/13.26 inference(quant_inst,[status(thm)],[])).
% 20.74/13.26 tff(81,plain,
% 20.74/13.26 ((~![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_7(n0)) | (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))) | (~releaselg(tptp_fun_X1_7(n0)))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[80, 79])).
% 20.74/13.26 tff(82,plain,
% 20.74/13.26 (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))),
% 20.74/13.26 inference(unit_resolution,[status(thm)],[81, 72, 37, 51])).
% 20.74/13.26 tff(83,plain,
% 20.74/13.26 ((gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0))) | (~drugbg(tptp_fun_X1_2(n0)))),
% 20.74/13.26 inference(tautology,[status(thm)],[])).
% 20.74/13.26 tff(84,plain,
% 20.74/13.26 (~drugbg(tptp_fun_X1_2(n0))),
% 20.74/13.26 inference(unit_resolution,[status(thm)],[83, 82])).
% 20.74/13.26 tff(85,plain,
% 20.74/13.26 ((gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0))) | (~gt(n0, tptp_fun_X1_2(n0)))),
% 20.74/13.26 inference(tautology,[status(thm)],[])).
% 20.74/13.26 tff(86,plain,
% 20.74/13.26 (~gt(n0, tptp_fun_X1_2(n0))),
% 20.74/13.26 inference(unit_resolution,[status(thm)],[85, 82])).
% 20.74/13.26 tff(87,plain,
% 20.74/13.26 (^[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))))))))),
% 20.74/13.26 inference(bind,[status(th)],[])).
% 20.74/13.26 tff(88,plain,
% 20.74/13.26 (![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))))))),
% 20.74/13.26 inference(quant_intro,[status(thm)],[87])).
% 20.74/13.26 tff(89,plain,
% 20.74/13.26 (^[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))))),
% 20.74/13.26 inference(bind,[status(th)],[])).
% 20.74/13.26 tff(90,plain,
% 20.74/13.26 (![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)))),
% 20.74/13.26 inference(quant_intro,[status(thm)],[89])).
% 20.74/13.26 tff(91,plain,
% 20.74/13.26 (![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)))),
% 20.74/13.26 inference(pull_quant,[status(thm)],[])).
% 20.74/13.26 tff(92,plain,
% 20.74/13.26 (^[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))))),
% 20.74/13.26 inference(bind,[status(th)],[])).
% 20.74/13.26 tff(93,plain,
% 20.74/13.26 (![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)))),
% 20.74/13.26 inference(quant_intro,[status(thm)],[92])).
% 20.74/13.26 tff(94,plain,
% 20.74/13.26 (![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)))),
% 20.74/13.26 inference(transitivity,[status(thm)],[93, 91])).
% 20.74/13.26 tff(95,plain,
% 20.74/13.26 (![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)))),
% 20.74/13.26 inference(transitivity,[status(thm)],[94, 90])).
% 20.74/13.26 tff(96,plain,
% 20.74/13.26 (^[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))))),
% 20.74/13.26 inference(bind,[status(th)],[])).
% 20.74/13.26 tff(97,plain,
% 20.74/13.26 (![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)))),
% 20.74/13.26 inference(quant_intro,[status(thm)],[96])).
% 20.74/13.26 tff(98,plain,
% 20.74/13.26 (![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)))),
% 20.74/13.26 inference(transitivity,[status(thm)],[97, 95])).
% 20.74/13.26 tff(99,plain,
% 20.74/13.26 (![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)))),
% 20.74/13.26 inference(rewrite,[status(thm)],[])).
% 20.74/13.26 tff(100,plain,
% 20.74/13.26 (^[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)))))),
% 20.74/13.26 inference(bind,[status(th)],[])).
% 20.74/13.26 tff(101,plain,
% 20.74/13.26 (![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)))),
% 20.74/13.26 inference(quant_intro,[status(thm)],[100])).
% 20.74/13.26 tff(102,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')).
% 20.74/13.26 tff(103,plain,
% 20.74/13.26 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1)))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[102, 101])).
% 20.74/13.26 tff(104,plain,
% 20.74/13.26 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1)))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[103, 99])).
% 20.74/13.26 tff(105,plain,(
% 20.74/13.26 ![X0: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1)))),
% 20.74/13.26 inference(skolemize,[status(sab)],[104])).
% 20.74/13.26 tff(106,plain,
% 20.74/13.26 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1)))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[105, 98])).
% 20.74/13.26 tff(107,plain,
% 20.74/13.26 (![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[106, 88])).
% 20.74/13.26 tff(108,plain,
% 20.74/13.26 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(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) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(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)))),
% 20.74/13.26 inference(rewrite,[status(thm)],[])).
% 20.74/13.26 tff(109,plain,
% 20.74/13.26 ((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_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))) | gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))),
% 20.74/13.26 inference(rewrite,[status(thm)],[])).
% 20.74/13.26 tff(110,plain,
% 20.74/13.26 ((~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))) <=> (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0)))))),
% 20.74/13.26 inference(rewrite,[status(thm)],[])).
% 20.74/13.26 tff(111,plain,
% 20.74/13.26 ((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)) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))))),
% 20.74/13.26 inference(monotonicity,[status(thm)],[110])).
% 20.74/13.26 tff(112,plain,
% 20.74/13.26 ((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_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))) | gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))),
% 20.74/13.26 inference(transitivity,[status(thm)],[111, 109])).
% 20.74/13.26 tff(113,plain,
% 20.74/13.26 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(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) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(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))))),
% 20.74/13.26 inference(monotonicity,[status(thm)],[112])).
% 20.74/13.26 tff(114,plain,
% 20.74/13.26 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(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) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(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)))),
% 20.74/13.26 inference(transitivity,[status(thm)],[113, 108])).
% 20.74/13.26 tff(115,plain,
% 20.74/13.26 ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(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))))))),
% 20.74/13.26 inference(quant_inst,[status(thm)],[])).
% 20.74/13.26 tff(116,plain,
% 20.74/13.26 ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(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))),
% 20.74/13.26 inference(modus_ponens,[status(thm)],[115, 114])).
% 20.74/13.26 tff(117,plain,
% 20.74/13.26 (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))),
% 20.74/13.26 inference(unit_resolution,[status(thm)],[116, 107, 86, 84])).
% 20.74/13.26 tff(118,plain,
% 20.74/13.26 (releaselg(tptp_fun_X1_5(n0))),
% 20.74/13.26 inference(unit_resolution,[status(thm)],[13, 117])).
% 20.74/13.26 tff(119,plain,
% 20.74/13.26 (~gt(n0, tptp_fun_X1_5(n0))),
% 20.74/13.26 inference(unit_resolution,[status(thm)],[15, 117])).
% 20.74/13.26 tff(120,assumption,(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1))), introduced(assumption)).
% 20.74/13.26 tff(121,plain,
% 20.74/13.26 ((gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_6(n0)))),
% 20.74/13.26 inference(tautology,[status(thm)],[])).
% 20.74/13.26 tff(122,plain,
% 20.74/13.26 (~uptakepg(tptp_fun_X1_6(n0))),
% 20.74/13.26 inference(unit_resolution,[status(thm)],[121, 33])).
% 20.74/13.26 tff(123,plain,
% 20.74/13.26 ((gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))) | (~gt(n0, tptp_fun_X1_6(n0)))),
% 20.74/13.26 inference(tautology,[status(thm)],[])).
% 20.74/13.26 tff(124,plain,
% 20.74/13.26 (~gt(n0, tptp_fun_X1_6(n0))),
% 20.74/13.26 inference(unit_resolution,[status(thm)],[123, 33])).
% 20.74/13.27 tff(125,assumption,(~uptakepg(tptp_fun_X1_6(n0))), introduced(assumption)).
% 20.74/13.27 tff(126,assumption,(~gt(n0, tptp_fun_X1_6(n0))), introduced(assumption)).
% 20.74/13.27 tff(127,assumption,(![X1: $i] : (uptakepg(X1) | gt(n0, X1))), introduced(assumption)).
% 20.74/13.27 tff(128,plain,
% 20.74/13.27 (((~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))) <=> ((~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))),
% 20.74/13.27 inference(rewrite,[status(thm)],[])).
% 20.74/13.27 tff(129,plain,
% 20.74/13.27 ((~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))),
% 20.74/13.27 inference(quant_inst,[status(thm)],[])).
% 20.74/13.27 tff(130,plain,
% 20.74/13.27 ((~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0))),
% 20.74/13.27 inference(modus_ponens,[status(thm)],[129, 128])).
% 20.74/13.27 tff(131,plain,
% 20.74/13.27 ($false),
% 20.74/13.27 inference(unit_resolution,[status(thm)],[130, 127, 126, 125])).
% 20.74/13.27 tff(132,plain,((~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0))), inference(lemma,lemma(discharge,[]))).
% 20.74/13.27 tff(133,plain,
% 20.74/13.27 (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))),
% 20.74/13.27 inference(unit_resolution,[status(thm)],[132, 124, 122])).
% 20.74/13.27 tff(134,plain,
% 20.74/13.27 ((~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))) | ![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1))),
% 20.74/13.27 inference(tautology,[status(thm)],[])).
% 20.74/13.27 tff(135,plain,
% 20.74/13.27 (![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))),
% 20.74/13.27 inference(unit_resolution,[status(thm)],[134, 133, 120])).
% 20.74/13.27 tff(136,plain,
% 20.74/13.27 (((~![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)))),
% 20.74/13.27 inference(rewrite,[status(thm)],[])).
% 20.74/13.27 tff(137,plain,
% 20.74/13.27 ((~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))) | ((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))),
% 20.74/13.27 inference(quant_inst,[status(thm)],[])).
% 20.74/13.27 tff(138,plain,
% 20.74/13.27 ((~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0))),
% 20.74/13.27 inference(modus_ponens,[status(thm)],[137, 136])).
% 20.74/13.27 tff(139,plain,
% 20.74/13.27 ($false),
% 20.74/13.27 inference(unit_resolution,[status(thm)],[138, 135, 119, 118])).
% 20.74/13.27 tff(140,plain,((gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1))))), inference(lemma,lemma(discharge,[]))).
% 20.74/13.27 tff(141,plain,
% 20.74/13.27 (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))),
% 20.74/13.27 inference(unit_resolution,[status(thm)],[140, 33])).
% 20.74/13.27 tff(142,plain,
% 20.74/13.27 (((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1))))) | (![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))),
% 20.74/13.27 inference(tautology,[status(thm)],[])).
% 20.74/13.27 tff(143,plain,
% 20.74/13.27 ((~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))))),
% 20.74/13.27 inference(unit_resolution,[status(thm)],[142, 141])).
% 20.74/13.27 tff(144,plain,
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% 20.74/13.27 inference(tautology,[status(thm)],[])).
% 20.74/13.27 tff(146,plain,
% 20.74/13.27 ((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1)))),
% 20.74/13.27 inference(unit_resolution,[status(thm)],[145, 144])).
% 20.74/13.27 tff(147,assumption,(~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))), introduced(assumption)).
% 20.74/13.27 tff(148,plain,
% 20.74/13.27 ((gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0))) | (~gt(n0, tptp_fun_X1_8(n0)))),
% 20.74/13.27 inference(tautology,[status(thm)],[])).
% 20.74/13.27 tff(149,plain,
% 20.74/13.27 (~gt(n0, tptp_fun_X1_8(n0))),
% 20.74/13.27 inference(unit_resolution,[status(thm)],[148, 147])).
% 20.74/13.27 tff(150,plain,
% 20.74/13.27 ((gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0))) | (~conditionnormo(tptp_fun_X1_8(n0)))),
% 20.74/13.27 inference(tautology,[status(thm)],[])).
% 20.74/13.27 tff(151,plain,
% 20.74/13.27 (~conditionnormo(tptp_fun_X1_8(n0))),
% 20.74/13.27 inference(unit_resolution,[status(thm)],[150, 147])).
% 20.74/13.27 tff(152,assumption,(~conditionnormo(tptp_fun_X1_8(n0))), introduced(assumption)).
% 20.74/13.27 tff(153,assumption,(~gt(n0, tptp_fun_X1_8(n0))), introduced(assumption)).
% 20.74/13.27 tff(154,plain,
% 20.74/13.27 (^[X0: $i] : refl((conditionnormo(X0) | gt(n0, X0)) <=> (conditionnormo(X0) | gt(n0, X0)))),
% 20.74/13.27 inference(bind,[status(th)],[])).
% 20.74/13.27 tff(155,plain,
% 20.74/13.27 (![X0: $i] : (conditionnormo(X0) | gt(n0, X0)) <=> ![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 20.74/13.27 inference(quant_intro,[status(thm)],[154])).
% 20.74/13.27 tff(156,plain,
% 20.74/13.27 (![X0: $i] : (conditionnormo(X0) | gt(n0, X0)) <=> ![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 20.74/13.27 inference(rewrite,[status(thm)],[])).
% 20.74/13.27 tff(157,plain,
% 20.74/13.27 ((~((((s1(n0) & ![X0: $i] : (gt(n0, X0) => conditionhyper(X0))) & (~bcapacitysn(n0))) & qilt27(n0)) => (~![X0: $i] : ((~gt(n0, X0)) => conditionnormo(X0))))) <=> (~((~(s1(n0) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & (~bcapacitysn(n0)) & qilt27(n0))) | (~![X0: $i] : (conditionnormo(X0) | gt(n0, X0)))))),
% 20.74/13.27 inference(rewrite,[status(thm)],[])).
% 20.74/13.27 tff(158,axiom,(~((((s1(n0) & ![X0: $i] : (gt(n0, X0) => conditionhyper(X0))) & (~bcapacitysn(n0))) & qilt27(n0)) => (~![X0: $i] : ((~gt(n0, X0)) => conditionnormo(X0))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','unsuccessfuls1_qilt27')).
% 20.74/13.27 tff(159,plain,
% 20.74/13.27 (~((~(s1(n0) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & (~bcapacitysn(n0)) & qilt27(n0))) | (~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))))),
% 20.74/13.27 inference(modus_ponens,[status(thm)],[158, 157])).
% 20.74/13.27 tff(160,plain,
% 20.74/13.27 (![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 20.74/13.27 inference(or_elim,[status(thm)],[159])).
% 20.74/13.27 tff(161,plain,
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% 20.74/13.27 inference(modus_ponens,[status(thm)],[160, 156])).
% 20.74/13.27 tff(162,plain,(
% 20.74/13.27 ![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 20.74/13.27 inference(skolemize,[status(sab)],[161])).
% 20.74/13.27 tff(163,plain,
% 20.74/13.27 (![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 20.74/13.27 inference(modus_ponens,[status(thm)],[162, 155])).
% 20.74/13.27 tff(164,plain,
% 20.74/13.27 (((~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))) | (conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) <=> ((~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))) | conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))),
% 20.74/13.27 inference(rewrite,[status(thm)],[])).
% 20.74/13.27 tff(165,plain,
% 20.74/13.27 ((~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))) | (conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))),
% 20.74/13.27 inference(quant_inst,[status(thm)],[])).
% 20.74/13.27 tff(166,plain,
% 20.74/13.27 ((~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))) | conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0))),
% 20.74/13.27 inference(modus_ponens,[status(thm)],[165, 164])).
% 20.74/13.27 tff(167,plain,
% 20.74/13.27 ($false),
% 20.74/13.27 inference(unit_resolution,[status(thm)],[166, 163, 153, 152])).
% 20.74/13.27 tff(168,plain,(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0))), inference(lemma,lemma(discharge,[]))).
% 20.74/13.27 tff(169,plain,
% 20.74/13.27 ($false),
% 20.74/13.27 inference(unit_resolution,[status(thm)],[168, 151, 149])).
% 20.74/13.27 tff(170,plain,(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0))), inference(lemma,lemma(discharge,[]))).
% 20.74/13.27 tff(171,plain,
% 20.74/13.27 ((~bcapacitysn(n0)) <=> (~bcapacitysn(n0))),
% 20.74/13.27 inference(rewrite,[status(thm)],[])).
% 20.74/13.27 tff(172,plain,
% 20.74/13.27 (s1(n0) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & (~bcapacitysn(n0)) & qilt27(n0)),
% 20.74/13.27 inference(or_elim,[status(thm)],[159])).
% 20.74/13.27 tff(173,plain,
% 20.74/13.27 (~bcapacitysn(n0)),
% 20.74/13.27 inference(and_elim,[status(thm)],[172])).
% 20.74/13.27 tff(174,plain,
% 20.74/13.27 (~bcapacitysn(n0)),
% 20.74/13.27 inference(modus_ponens,[status(thm)],[173, 171])).
% 20.74/13.27 tff(175,plain,
% 20.74/13.27 (((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))) | bcapacitysn(n0)),
% 20.74/13.27 inference(tautology,[status(thm)],[])).
% 20.74/13.27 tff(176,plain,
% 20.74/13.27 ((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))),
% 20.74/13.27 inference(unit_resolution,[status(thm)],[175, 174])).
% 20.74/13.27 tff(177,plain,
% 20.74/13.27 (((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1))))) | bcapacitysn(n0)),
% 20.74/13.27 inference(tautology,[status(thm)],[])).
% 20.74/13.27 tff(178,plain,
% 20.74/13.27 ((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1))))),
% 20.74/13.27 inference(unit_resolution,[status(thm)],[177, 174])).
% 20.74/13.27 tff(179,plain,
% 20.74/13.27 (^[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)))))))))),
% 20.74/13.27 inference(bind,[status(th)],[])).
% 20.74/13.27 tff(180,plain,
% 20.74/13.27 (![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)))))))),
% 20.74/13.27 inference(quant_intro,[status(thm)],[179])).
% 20.74/13.27 tff(181,plain,
% 20.74/13.27 (^[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)))))))),
% 20.74/13.27 inference(bind,[status(th)],[])).
% 20.74/13.27 tff(182,plain,
% 20.74/13.27 (![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))))))),
% 20.74/13.27 inference(quant_intro,[status(thm)],[181])).
% 20.74/13.27 tff(183,plain,
% 20.74/13.27 (^[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)))))))),
% 20.74/13.27 inference(bind,[status(th)],[])).
% 20.74/13.27 tff(184,plain,
% 20.74/13.27 (![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))))))),
% 20.74/13.27 inference(quant_intro,[status(thm)],[183])).
% 20.74/13.27 tff(185,plain,
% 20.74/13.27 (![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))))))),
% 20.74/13.27 inference(transitivity,[status(thm)],[184, 182])).
% 20.74/13.27 tff(186,plain,
% 20.74/13.27 (^[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))))))))),
% 20.74/13.28 inference(bind,[status(th)],[])).
% 20.74/13.28 tff(187,plain,
% 20.74/13.28 (![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))))))),
% 20.74/13.28 inference(quant_intro,[status(thm)],[186])).
% 20.74/13.28 tff(188,plain,
% 20.74/13.28 (![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))))),
% 20.74/13.28 inference(rewrite,[status(thm)],[])).
% 20.74/13.28 tff(189,plain,
% 20.74/13.28 (^[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))))))),
% 20.74/13.28 inference(bind,[status(th)],[])).
% 20.74/13.28 tff(190,plain,
% 20.74/13.28 (![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))))),
% 20.74/13.28 inference(quant_intro,[status(thm)],[189])).
% 20.74/13.28 tff(191,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')).
% 20.74/13.28 tff(192,plain,
% 20.74/13.28 (![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))))),
% 20.74/13.28 inference(modus_ponens,[status(thm)],[191, 190])).
% 20.74/13.28 tff(193,plain,
% 20.74/13.28 (![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))))),
% 20.74/13.28 inference(modus_ponens,[status(thm)],[192, 188])).
% 20.74/13.28 tff(194,plain,(
% 20.74/13.28 ![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)))))),
% 20.74/13.28 inference(skolemize,[status(sab)],[193])).
% 20.74/13.28 tff(195,plain,
% 20.74/13.28 (![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))))))),
% 20.74/13.28 inference(modus_ponens,[status(thm)],[194, 187])).
% 20.74/13.28 tff(196,plain,
% 20.74/13.28 (![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))))))),
% 20.74/13.28 inference(modus_ponens,[status(thm)],[195, 185])).
% 20.74/13.28 tff(197,plain,
% 20.74/13.28 (![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)))))))),
% 20.74/13.28 inference(modus_ponens,[status(thm)],[196, 180])).
% 20.74/13.28 tff(198,plain,
% 20.74/13.28 (((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))) <=> ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | (~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 20.87/13.29 inference(rewrite,[status(thm)],[])).
% 20.87/13.29 tff(199,plain,
% 20.87/13.29 (((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))))) <=> ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 20.87/13.29 inference(rewrite,[status(thm)],[])).
% 20.87/13.29 tff(200,plain,
% 20.87/13.29 ((~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1)))))) <=> (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))))),
% 20.87/13.29 inference(rewrite,[status(thm)],[])).
% 20.87/13.29 tff(201,plain,
% 20.87/13.29 ((~((~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)))))),
% 20.87/13.29 inference(rewrite,[status(thm)],[])).
% 20.87/13.29 tff(202,plain,
% 20.87/13.29 ((~((~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))))))),
% 20.87/13.29 inference(rewrite,[status(thm)],[])).
% 20.87/13.29 tff(203,plain,
% 20.87/13.29 ((~((~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))))))),
% 20.87/13.29 inference(rewrite,[status(thm)],[])).
% 20.87/13.29 tff(204,plain,
% 20.87/13.29 ((~(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))))),
% 20.87/13.29 inference(rewrite,[status(thm)],[])).
% 20.87/13.29 tff(205,plain,
% 20.87/13.29 (((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(n0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(n0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1))))))) <=> ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 20.87/13.29 inference(monotonicity,[status(thm)],[204, 203, 202, 201, 200])).
% 20.87/13.29 tff(206,plain,
% 20.87/13.29 (((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(n0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(n0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1))))))) <=> ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 20.87/13.29 inference(transitivity,[status(thm)],[205, 199])).
% 20.87/13.29 tff(207,plain,
% 20.87/13.29 (((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(n0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(n0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1)))))))) <=> ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))))))),
% 20.87/13.29 inference(monotonicity,[status(thm)],[206])).
% 20.87/13.29 tff(208,plain,
% 20.87/13.29 (((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(n0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(n0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1)))))))) <=> ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | (~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 20.87/13.29 inference(transitivity,[status(thm)],[207, 198])).
% 20.87/13.29 tff(209,plain,
% 20.87/13.29 ((~![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)))))))),
% 20.87/13.29 inference(quant_inst,[status(thm)],[])).
% 20.87/13.29 tff(210,plain,
% 20.87/13.29 ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | (~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))))),
% 20.87/13.29 inference(modus_ponens,[status(thm)],[209, 208])).
% 20.87/13.29 tff(211,plain,
% 20.87/13.29 ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1)))))),
% 20.87/13.29 inference(unit_resolution,[status(thm)],[210, 197, 178, 176])).
% 20.87/13.29 tff(212,plain,
% 20.87/13.29 ((~((~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: $i] : (uptakelg(X1) | gt(n0, X1)))))),
% 20.87/13.29 inference(unit_resolution,[status(thm)],[211, 170])).
% 20.87/13.29 tff(213,plain,
% 20.87/13.29 ($false),
% 20.87/13.29 inference(unit_resolution,[status(thm)],[212, 146, 143])).
% 20.87/13.29 tff(214,plain,(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))), inference(lemma,lemma(discharge,[]))).
% 20.87/13.29 tff(215,assumption,(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))), introduced(assumption)).
% 20.87/13.29 tff(216,assumption,(~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))), introduced(assumption)).
% 20.87/13.29 tff(217,plain,
% 20.87/13.29 ((gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))) | (~gt(n0, tptp_fun_X1_0(n0)))),
% 20.87/13.29 inference(tautology,[status(thm)],[])).
% 20.87/13.29 tff(218,plain,
% 20.87/13.29 (~gt(n0, tptp_fun_X1_0(n0))),
% 20.87/13.29 inference(unit_resolution,[status(thm)],[217, 216])).
% 20.87/13.29 tff(219,plain,
% 20.87/13.29 ((gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))) | (~drugi(tptp_fun_X1_0(n0)))),
% 20.87/13.29 inference(tautology,[status(thm)],[])).
% 20.87/13.29 tff(220,plain,
% 20.87/13.29 (~drugi(tptp_fun_X1_0(n0))),
% 20.87/13.29 inference(unit_resolution,[status(thm)],[219, 216])).
% 20.87/13.29 tff(221,assumption,(~drugi(tptp_fun_X1_0(n0))), introduced(assumption)).
% 20.87/13.29 tff(222,assumption,(~gt(n0, tptp_fun_X1_0(n0))), introduced(assumption)).
% 20.87/13.29 tff(223,plain,
% 20.87/13.29 (^[X0: $i, X1: $i] : trans(monotonicity(rewrite((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) <=> (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0))))), rewrite((gt(X0, X1) | drugi(X1)) <=> (gt(X0, X1) | drugi(X1))), (((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))) <=> ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))))), rewrite(((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))) <=> (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))), (((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))) <=> (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))))),
% 20.87/13.29 inference(bind,[status(th)],[])).
% 20.87/13.29 tff(224,plain,
% 20.87/13.29 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))),
% 20.87/13.29 inference(quant_intro,[status(thm)],[223])).
% 20.87/13.29 tff(225,plain,
% 20.87/13.29 (^[X0: $i, X1: $i] : refl(((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))) <=> ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))))),
% 20.87/13.29 inference(bind,[status(th)],[])).
% 20.87/13.29 tff(226,plain,
% 20.87/13.29 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1)))),
% 20.87/13.29 inference(quant_intro,[status(thm)],[225])).
% 20.87/13.29 tff(227,plain,
% 20.87/13.29 (![X0: $i] : ![X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1)))),
% 20.87/13.29 inference(pull_quant,[status(thm)],[])).
% 20.87/13.29 tff(228,plain,
% 20.87/13.29 (^[X0: $i] : pull_quant(((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ![X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1))))),
% 20.87/13.29 inference(bind,[status(th)],[])).
% 20.87/13.29 tff(229,plain,
% 20.87/13.29 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ![X0: $i] : ![X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1)))),
% 20.87/13.29 inference(quant_intro,[status(thm)],[228])).
% 20.87/13.29 tff(230,plain,
% 20.87/13.29 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1)))),
% 20.87/13.29 inference(transitivity,[status(thm)],[229, 227])).
% 20.87/13.29 tff(231,plain,
% 20.87/13.29 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1)))),
% 20.87/13.29 inference(transitivity,[status(thm)],[230, 226])).
% 20.87/13.29 tff(232,plain,
% 20.87/13.29 (^[X0: $i] : rewrite(((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))))),
% 20.87/13.29 inference(bind,[status(th)],[])).
% 20.87/13.29 tff(233,plain,
% 20.87/13.29 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 20.87/13.29 inference(quant_intro,[status(thm)],[232])).
% 20.87/13.29 tff(234,plain,
% 20.87/13.29 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1)))),
% 20.87/13.29 inference(transitivity,[status(thm)],[233, 231])).
% 20.87/13.29 tff(235,plain,
% 20.87/13.29 (^[X0: $i] : rewrite((((~(gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))))),
% 20.87/13.29 inference(bind,[status(th)],[])).
% 20.87/13.29 tff(236,plain,
% 20.87/13.29 (![X0: $i] : (((~(gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 20.87/13.29 inference(quant_intro,[status(thm)],[235])).
% 20.87/13.29 tff(237,plain,
% 20.87/13.29 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 20.87/13.29 inference(rewrite,[status(thm)],[])).
% 20.87/13.29 tff(238,plain,
% 20.87/13.29 (^[X0: $i] : trans(monotonicity(rewrite((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) <=> (![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))), quant_intro(proof_bind(^[X1: $i] : rewrite(((~gt(X0, X1)) => drugi(X1)) <=> (gt(X0, X1) | drugi(X1)))), (![X1: $i] : ((~gt(X0, X1)) => drugi(X1)) <=> ![X1: $i] : (gt(X0, X1) | drugi(X1)))), (((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) => ![X1: $i] : ((~gt(X0, X1)) => drugi(X1))) <=> ((![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) => ![X1: $i] : (gt(X0, X1) | drugi(X1))))), rewrite(((![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1))) => ![X1: $i] : (gt(X0, X1) | drugi(X1))) <=> ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))), (((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) => ![X1: $i] : ((~gt(X0, X1)) => drugi(X1))) <=> ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))))),
% 20.87/13.29 inference(bind,[status(th)],[])).
% 20.87/13.29 tff(239,plain,
% 20.87/13.29 (![X0: $i] : ((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) => ![X1: $i] : ((~gt(X0, X1)) => drugi(X1))) <=> ![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 20.87/13.30 inference(quant_intro,[status(thm)],[238])).
% 20.87/13.30 tff(240,axiom,(![X0: $i] : ((![X1: $i] : ((~gt(X0, X1)) => uptakelg(X1)) | ![X1: $i] : ((~gt(X0, X1)) => uptakepg(X1))) => ![X1: $i] : ((~gt(X0, X1)) => drugi(X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','insulin_completion')).
% 20.87/13.30 tff(241,plain,
% 20.87/13.30 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 20.87/13.30 inference(modus_ponens,[status(thm)],[240, 239])).
% 20.87/13.30 tff(242,plain,
% 20.87/13.30 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 20.87/13.30 inference(modus_ponens,[status(thm)],[241, 237])).
% 20.87/13.30 tff(243,plain,(
% 20.87/13.30 ![X0: $i] : (((~(gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) & (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 20.87/13.30 inference(skolemize,[status(sab)],[242])).
% 20.87/13.30 tff(244,plain,
% 20.87/13.30 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 20.87/13.30 inference(modus_ponens,[status(thm)],[243, 236])).
% 20.87/13.30 tff(245,plain,
% 20.87/13.30 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (gt(X0, X1) | drugi(X1)))),
% 20.87/13.30 inference(modus_ponens,[status(thm)],[244, 234])).
% 20.87/13.30 tff(246,plain,
% 20.87/13.30 (![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))),
% 20.87/13.30 inference(modus_ponens,[status(thm)],[245, 224])).
% 20.87/13.30 tff(247,plain,
% 20.87/13.30 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | ((~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) | gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) | gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))),
% 20.87/13.30 inference(rewrite,[status(thm)],[])).
% 20.87/13.30 tff(248,plain,
% 20.87/13.30 ((gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))))) <=> ((~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) | gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))),
% 20.87/13.30 inference(rewrite,[status(thm)],[])).
% 20.87/13.30 tff(249,plain,
% 20.87/13.30 ((~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) <=> (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))))),
% 20.87/13.30 inference(rewrite,[status(thm)],[])).
% 20.87/13.30 tff(250,plain,
% 20.87/13.30 ((gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))))) <=> (gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))))),
% 20.87/13.30 inference(monotonicity,[status(thm)],[249])).
% 20.87/13.30 tff(251,plain,
% 20.87/13.30 ((gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))))) <=> ((~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) | gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))),
% 20.87/13.30 inference(transitivity,[status(thm)],[250, 248])).
% 20.87/13.30 tff(252,plain,
% 20.87/13.30 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | (gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | ((~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) | gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))))),
% 20.87/13.30 inference(monotonicity,[status(thm)],[251])).
% 20.87/13.30 tff(253,plain,
% 20.87/13.30 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | (gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) | gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))),
% 20.87/13.30 inference(transitivity,[status(thm)],[252, 247])).
% 20.87/13.30 tff(254,plain,
% 20.87/13.30 ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | (gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))))),
% 20.87/13.30 inference(quant_inst,[status(thm)],[])).
% 20.87/13.30 tff(255,plain,
% 20.87/13.30 ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) | gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))),
% 20.87/13.30 inference(modus_ponens,[status(thm)],[254, 253])).
% 20.87/13.30 tff(256,plain,
% 20.87/13.30 ($false),
% 20.87/13.30 inference(unit_resolution,[status(thm)],[255, 246, 215, 222, 221])).
% 20.87/13.30 tff(257,plain,(drugi(tptp_fun_X1_0(n0)) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) | gt(n0, tptp_fun_X1_0(n0))), inference(lemma,lemma(discharge,[]))).
% 20.87/13.30 tff(258,plain,
% 20.87/13.30 ($false),
% 20.87/13.30 inference(unit_resolution,[status(thm)],[257, 220, 218, 215])).
% 20.87/13.30 tff(259,plain,((gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))) | (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))))), inference(lemma,lemma(discharge,[]))).
% 20.87/13.30 tff(260,plain,
% 20.87/13.30 (gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))),
% 20.87/13.30 inference(unit_resolution,[status(thm)],[259, 214])).
% 20.87/13.30 tff(261,plain,
% 20.87/13.30 (^[X0: $i, X1: $i] : trans(monotonicity(rewrite((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) <=> (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0))))), rewrite((gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))) <=> (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))), (((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))) <=> ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))))), rewrite(((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))) <=> (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))), (((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))) <=> (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))))),
% 20.87/13.30 inference(bind,[status(th)],[])).
% 20.87/13.30 tff(262,plain,
% 20.87/13.30 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))),
% 20.87/13.30 inference(quant_intro,[status(thm)],[261])).
% 20.87/13.30 tff(263,plain,
% 20.87/13.30 (^[X0: $i, X1: $i] : refl(((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))) <=> ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))))),
% 20.87/13.30 inference(bind,[status(th)],[])).
% 20.87/13.30 tff(264,plain,
% 20.87/13.30 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))))),
% 20.87/13.30 inference(quant_intro,[status(thm)],[263])).
% 20.87/13.30 tff(265,plain,
% 20.87/13.30 (![X0: $i] : ![X1: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))))),
% 20.87/13.30 inference(pull_quant,[status(thm)],[])).
% 20.87/13.30 tff(266,plain,
% 20.87/13.30 (^[X0: $i] : pull_quant(((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))) <=> ![X1: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))))),
% 20.87/13.30 inference(bind,[status(th)],[])).
% 20.87/13.30 tff(267,plain,
% 20.87/13.30 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))) <=> ![X0: $i] : ![X1: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))))),
% 20.87/13.30 inference(quant_intro,[status(thm)],[266])).
% 20.87/13.30 tff(268,plain,
% 20.87/13.30 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))))),
% 20.87/13.30 inference(transitivity,[status(thm)],[267, 265])).
% 20.87/13.30 tff(269,plain,
% 20.87/13.30 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))))),
% 20.87/13.30 inference(transitivity,[status(thm)],[268, 264])).
% 20.87/13.30 tff(270,plain,
% 20.87/13.30 (^[X0: $i] : rewrite(((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))) <=> ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))))),
% 20.87/13.30 inference(bind,[status(th)],[])).
% 20.87/13.30 tff(271,plain,
% 20.87/13.30 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))))),
% 20.87/13.30 inference(quant_intro,[status(thm)],[270])).
% 20.87/13.30 tff(272,plain,
% 20.87/13.30 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))) <=> ![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))))),
% 20.87/13.30 inference(transitivity,[status(thm)],[271, 269])).
% 20.87/13.30 tff(273,plain,
% 20.87/13.30 (^[X0: $i] : rewrite(((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1)))) <=> ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))))))),
% 20.87/13.30 inference(bind,[status(th)],[])).
% 20.87/13.30 tff(274,plain,
% 20.87/13.30 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1)))) <=> ![X0: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))))),
% 20.87/13.30 inference(quant_intro,[status(thm)],[273])).
% 20.87/13.30 tff(275,plain,
% 20.87/13.30 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugi(X1))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1)))) <=> ![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugi(X1))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))),
% 20.87/13.30 inference(rewrite,[status(thm)],[])).
% 20.87/13.30 tff(276,plain,
% 20.87/13.30 (^[X0: $i] : trans(monotonicity(quant_intro(proof_bind(^[X1: $i] : rewrite(((~gt(X0, X1)) => drugi(X1)) <=> (gt(X0, X1) | drugi(X1)))), (![X1: $i] : ((~gt(X0, X1)) => drugi(X1)) <=> ![X1: $i] : (gt(X0, X1) | drugi(X1)))), quant_intro(proof_bind(^[X1: $i] : rewrite(((~gt(X0, X1)) => (uptakelg(X1) & uptakepg(X1))) <=> (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))), (![X1: $i] : ((~gt(X0, X1)) => (uptakelg(X1) & uptakepg(X1))) <=> ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))), ((![X1: $i] : ((~gt(X0, X1)) => drugi(X1)) => ![X1: $i] : ((~gt(X0, X1)) => (uptakelg(X1) & uptakepg(X1)))) <=> (![X1: $i] : (gt(X0, X1) | drugi(X1)) => ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1)))))), rewrite((![X1: $i] : (gt(X0, X1) | drugi(X1)) => ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1)))) <=> ((~![X1: $i] : (gt(X0, X1) | drugi(X1))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))), ((![X1: $i] : ((~gt(X0, X1)) => drugi(X1)) => ![X1: $i] : ((~gt(X0, X1)) => (uptakelg(X1) & uptakepg(X1)))) <=> ((~![X1: $i] : (gt(X0, X1) | drugi(X1))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))))),
% 20.87/13.30 inference(bind,[status(th)],[])).
% 20.87/13.30 tff(277,plain,
% 20.87/13.30 (![X0: $i] : (![X1: $i] : ((~gt(X0, X1)) => drugi(X1)) => ![X1: $i] : ((~gt(X0, X1)) => (uptakelg(X1) & uptakepg(X1)))) <=> ![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugi(X1))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))),
% 20.87/13.30 inference(quant_intro,[status(thm)],[276])).
% 20.87/13.30 tff(278,axiom,(![X0: $i] : (![X1: $i] : ((~gt(X0, X1)) => drugi(X1)) => ![X1: $i] : ((~gt(X0, X1)) => (uptakelg(X1) & uptakepg(X1))))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax','insulin_effect')).
% 20.87/13.30 tff(279,plain,
% 20.87/13.30 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugi(X1))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))),
% 20.87/13.30 inference(modus_ponens,[status(thm)],[278, 277])).
% 20.87/13.30 tff(280,plain,
% 20.87/13.30 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugi(X1))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))),
% 20.87/13.30 inference(modus_ponens,[status(thm)],[279, 275])).
% 20.87/13.30 tff(281,plain,(
% 20.87/13.30 ![X0: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))),
% 20.87/13.30 inference(skolemize,[status(sab)],[280])).
% 20.87/13.30 tff(282,plain,
% 20.87/13.30 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))))),
% 20.87/13.30 inference(modus_ponens,[status(thm)],[281, 274])).
% 20.87/13.30 tff(283,plain,
% 20.87/13.30 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))))),
% 20.87/13.30 inference(modus_ponens,[status(thm)],[282, 272])).
% 20.87/13.30 tff(284,plain,
% 20.87/13.30 (![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))),
% 20.87/13.30 inference(modus_ponens,[status(thm)],[283, 262])).
% 20.87/13.30 tff(285,plain,
% 20.87/13.30 (((~![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))) | (gt(n0, tptp_fun_X1_5(n0)) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | (~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0))))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))) | gt(n0, tptp_fun_X1_5(n0)) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | (~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0))))))),
% 20.87/13.30 inference(rewrite,[status(thm)],[])).
% 20.87/13.30 tff(286,plain,
% 20.87/13.30 ((gt(n0, tptp_fun_X1_5(n0)) | (~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))))) <=> (gt(n0, tptp_fun_X1_5(n0)) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | (~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0))))))),
% 20.87/13.30 inference(rewrite,[status(thm)],[])).
% 20.87/13.30 tff(287,plain,
% 20.87/13.30 ((~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) <=> (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))))),
% 20.87/13.30 inference(rewrite,[status(thm)],[])).
% 20.87/13.30 tff(288,plain,
% 20.87/13.30 ((gt(n0, tptp_fun_X1_5(n0)) | (~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))))) <=> (gt(n0, tptp_fun_X1_5(n0)) | (~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))))),
% 20.87/13.30 inference(monotonicity,[status(thm)],[287])).
% 20.87/13.30 tff(289,plain,
% 20.87/13.30 ((gt(n0, tptp_fun_X1_5(n0)) | (~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))))) <=> (gt(n0, tptp_fun_X1_5(n0)) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | (~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0))))))),
% 20.87/13.30 inference(transitivity,[status(thm)],[288, 286])).
% 20.87/13.30 tff(290,plain,
% 20.87/13.30 (((~![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))) | (gt(n0, tptp_fun_X1_5(n0)) | (~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))) | (gt(n0, tptp_fun_X1_5(n0)) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | (~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0)))))))),
% 20.87/13.30 inference(monotonicity,[status(thm)],[289])).
% 20.87/13.30 tff(291,plain,
% 20.87/13.30 (((~![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))) | (gt(n0, tptp_fun_X1_5(n0)) | (~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))) | gt(n0, tptp_fun_X1_5(n0)) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | (~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0))))))),
% 20.87/13.30 inference(transitivity,[status(thm)],[290, 285])).
% 20.87/13.30 tff(292,plain,
% 20.87/13.30 ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))) | (gt(n0, tptp_fun_X1_5(n0)) | (~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))))),
% 20.87/13.30 inference(quant_inst,[status(thm)],[])).
% 20.87/13.30 tff(293,plain,
% 20.87/13.30 ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))) | gt(n0, tptp_fun_X1_5(n0)) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | (~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0)))))),
% 20.87/13.30 inference(modus_ponens,[status(thm)],[292, 291])).
% 20.87/13.30 tff(294,plain,
% 20.87/13.30 ($false),
% 20.87/13.30 inference(unit_resolution,[status(thm)],[293, 284, 16, 260, 32])).
% 20.87/13.30 tff(295,plain,(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0)))), inference(lemma,lemma(discharge,[]))).
% 20.87/13.30 tff(296,plain,
% 20.87/13.30 (s1(n0) <=> s1(n0)),
% 20.87/13.30 inference(rewrite,[status(thm)],[])).
% 20.87/13.30 tff(297,plain,
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% 20.87/13.30 inference(and_elim,[status(thm)],[172])).
% 20.87/13.30 tff(298,plain,
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% 20.87/13.30 inference(modus_ponens,[status(thm)],[297, 296])).
% 20.87/13.30 tff(299,plain,
% 20.87/13.30 (^[X0: $i] : refl(((~s1(X0)) | (~s3(X0))) <=> ((~s1(X0)) | (~s3(X0))))),
% 20.87/13.30 inference(bind,[status(th)],[])).
% 20.87/13.30 tff(300,plain,
% 20.87/13.30 (![X0: $i] : ((~s1(X0)) | (~s3(X0))) <=> ![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 20.87/13.30 inference(quant_intro,[status(thm)],[299])).
% 20.87/13.30 tff(301,plain,
% 20.87/13.30 (![X0: $i] : ((~s1(X0)) | (~s3(X0))) <=> ![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 20.87/13.30 inference(rewrite,[status(thm)],[])).
% 20.87/13.30 tff(302,axiom,(![X0: $i] : ((~s1(X0)) | (~s3(X0)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','xorstep6')).
% 20.87/13.30 tff(303,plain,
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% 20.87/13.30 inference(modus_ponens,[status(thm)],[302, 301])).
% 20.87/13.30 tff(304,plain,(
% 20.87/13.30 ![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 20.87/13.30 inference(skolemize,[status(sab)],[303])).
% 20.87/13.30 tff(305,plain,
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% 20.87/13.30 inference(modus_ponens,[status(thm)],[304, 300])).
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% 20.87/13.30 inference(rewrite,[status(thm)],[])).
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% 20.87/13.30 inference(quant_inst,[status(thm)],[])).
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% 20.87/13.30 inference(modus_ponens,[status(thm)],[307, 306])).
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% 20.87/13.30 inference(unit_resolution,[status(thm)],[308, 305, 298])).
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% 20.87/13.30 inference(quant_intro,[status(thm)],[310])).
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% 20.87/13.30 inference(rewrite,[status(thm)],[])).
% 20.87/13.30 tff(313,axiom,(![X0: $i] : ((~s1(X0)) | (~s2(X0)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','xorstep5')).
% 20.87/13.30 tff(314,plain,
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% 20.87/13.30 inference(modus_ponens,[status(thm)],[313, 312])).
% 20.87/13.30 tff(315,plain,(
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% 20.87/13.30 inference(modus_ponens,[status(thm)],[315, 311])).
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% 20.87/13.30 inference(rewrite,[status(thm)],[])).
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% 20.87/13.30 inference(modus_ponens,[status(thm)],[322, 321])).
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% 20.87/13.30 inference(unit_resolution,[status(thm)],[324, 323])).
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% 20.88/13.30 inference(quant_intro,[status(thm)],[328])).
% 20.88/13.30 tff(330,plain,
% 20.88/13.30 (![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0))) <=> ![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))),
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% 20.88/13.30 inference(bind,[status(th)],[])).
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% 20.88/13.30 inference(quant_intro,[status(thm)],[331])).
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% 20.88/13.30 inference(modus_ponens,[status(thm)],[333, 332])).
% 20.88/13.30 tff(335,plain,
% 20.88/13.30 (![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))),
% 20.88/13.30 inference(modus_ponens,[status(thm)],[334, 330])).
% 20.88/13.30 tff(336,plain,(
% 20.88/13.30 ![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))),
% 20.88/13.30 inference(skolemize,[status(sab)],[335])).
% 20.88/13.30 tff(337,plain,
% 20.88/13.30 (![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))),
% 20.88/13.30 inference(modus_ponens,[status(thm)],[336, 329])).
% 20.88/13.30 tff(338,plain,
% 20.88/13.30 (![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))),
% 20.88/13.30 inference(modus_ponens,[status(thm)],[337, 327])).
% 20.88/13.30 tff(339,plain,
% 20.88/13.30 (((~![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)))))),
% 20.88/13.30 inference(rewrite,[status(thm)],[])).
% 20.88/13.30 tff(340,plain,
% 20.88/13.30 ((~![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))) | (s2(n0) | s3(n0) | (~drugbg(n0)) | (~(qilt27(n0) | (~s1(n0)))))),
% 20.88/13.30 inference(quant_inst,[status(thm)],[])).
% 20.88/13.30 tff(341,plain,
% 20.88/13.30 ((~![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))) | s2(n0) | s3(n0) | (~drugbg(n0)) | (~(qilt27(n0) | (~s1(n0))))),
% 20.88/13.30 inference(modus_ponens,[status(thm)],[340, 339])).
% 20.88/13.30 tff(342,plain,
% 20.88/13.30 (s2(n0) | s3(n0) | (~drugbg(n0))),
% 20.88/13.30 inference(unit_resolution,[status(thm)],[341, 338, 325])).
% 20.88/13.30 tff(343,plain,
% 20.88/13.30 (~drugbg(n0)),
% 20.88/13.30 inference(unit_resolution,[status(thm)],[342, 320, 309])).
% 20.88/13.30 tff(344,plain,
% 20.88/13.30 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | (drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(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) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))) | gt(n0, n0))),
% 20.89/13.31 inference(rewrite,[status(thm)],[])).
% 20.89/13.31 tff(345,plain,
% 20.89/13.31 ((gt(n0, n0) | drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0)))))) <=> (drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))) | gt(n0, n0))),
% 20.89/13.31 inference(rewrite,[status(thm)],[])).
% 20.89/13.31 tff(346,plain,
% 20.89/13.31 ((gt(n0, n0) | drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0)))))) <=> (gt(n0, n0) | drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))))),
% 20.89/13.31 inference(monotonicity,[status(thm)],[110])).
% 20.89/13.31 tff(347,plain,
% 20.89/13.31 ((gt(n0, n0) | drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0)))))) <=> (drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))) | gt(n0, n0))),
% 20.89/13.31 inference(transitivity,[status(thm)],[346, 345])).
% 20.89/13.31 tff(348,plain,
% 20.89/13.31 (((~![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) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))) | gt(n0, n0)))),
% 20.89/13.31 inference(monotonicity,[status(thm)],[347])).
% 20.89/13.31 tff(349,plain,
% 20.89/13.31 (((~![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) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))) | gt(n0, n0))),
% 20.89/13.31 inference(transitivity,[status(thm)],[348, 344])).
% 20.89/13.31 tff(350,plain,
% 20.89/13.31 ((~![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))))))),
% 20.89/13.31 inference(quant_inst,[status(thm)],[])).
% 20.89/13.31 tff(351,plain,
% 20.89/13.31 ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))) | gt(n0, n0)),
% 20.89/13.31 inference(modus_ponens,[status(thm)],[350, 349])).
% 20.89/13.31 tff(352,plain,
% 20.89/13.31 ($false),
% 20.89/13.31 inference(unit_resolution,[status(thm)],[351, 107, 343, 295, 11])).
% 20.89/13.31 % SZS output end Proof
%------------------------------------------------------------------------------