%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MED006+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:17:09 AM UTC 2025
% Result : Theorem 41.12s 41.33s
% Output : Proof 41.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MED006+1 : TPTP v9.0.0. Released v3.2.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 : Thu Jun 19 23:28:24 EDT 2025
% 0.12/0.34 % CPUTime :
% 41.12/41.33 % SZS status Theorem
% 41.12/41.33 % SZS output start Proof
% 41.12/41.33 tff(gt_type, type, (
% 41.12/41.33 gt: ( $i * $i ) > $o)).
% 41.12/41.33 tff(n0_type, type, (
% 41.12/41.33 n0: $i)).
% 41.12/41.33 tff(tptp_fun_X1_5_type, type, (
% 41.12/41.33 tptp_fun_X1_5: $i > $i)).
% 41.12/41.33 tff(releaselg_type, type, (
% 41.12/41.33 releaselg: $i > $o)).
% 41.12/41.33 tff(uptakelg_type, type, (
% 41.12/41.33 uptakelg: $i > $o)).
% 41.12/41.33 tff(uptakepg_type, type, (
% 41.12/41.33 uptakepg: $i > $o)).
% 41.12/41.33 tff(drugi_type, type, (
% 41.12/41.33 drugi: $i > $o)).
% 41.12/41.33 tff(tptp_fun_X1_0_type, type, (
% 41.12/41.33 tptp_fun_X1_0: $i > $i)).
% 41.12/41.33 tff(tptp_fun_X1_7_type, type, (
% 41.12/41.33 tptp_fun_X1_7: $i > $i)).
% 41.12/41.33 tff(tptp_fun_X1_6_type, type, (
% 41.12/41.33 tptp_fun_X1_6: $i > $i)).
% 41.12/41.33 tff(drugbg_type, type, (
% 41.12/41.33 drugbg: $i > $o)).
% 41.12/41.33 tff(tptp_fun_X1_2_type, type, (
% 41.12/41.33 tptp_fun_X1_2: $i > $i)).
% 41.12/41.33 tff(conditionhyper_type, type, (
% 41.12/41.33 conditionhyper: $i > $o)).
% 41.12/41.33 tff(bsecretioni_type, type, (
% 41.12/41.33 bsecretioni: $i > $o)).
% 41.12/41.33 tff(bcapacityne_type, type, (
% 41.12/41.33 bcapacityne: $i > $o)).
% 41.12/41.33 tff(tptp_fun_X1_8_type, type, (
% 41.12/41.33 tptp_fun_X1_8: $i > $i)).
% 41.12/41.33 tff(conditionnormo_type, type, (
% 41.12/41.33 conditionnormo: $i > $o)).
% 41.12/41.33 tff(qilt27_type, type, (
% 41.12/41.33 qilt27: $i > $o)).
% 41.12/41.33 tff(bcapacitysn_type, type, (
% 41.12/41.33 bcapacitysn: $i > $o)).
% 41.12/41.33 tff(s1_type, type, (
% 41.12/41.33 s1: $i > $o)).
% 41.12/41.33 tff(bcapacityex_type, type, (
% 41.12/41.33 bcapacityex: $i > $o)).
% 41.12/41.33 tff(s3_type, type, (
% 41.12/41.33 s3: $i > $o)).
% 41.12/41.33 tff(s2_type, type, (
% 41.12/41.33 s2: $i > $o)).
% 41.12/41.33 tff(1,assumption,(gt(n0, n0)), introduced(assumption)).
% 41.12/41.33 tff(2,plain,
% 41.12/41.33 (^[X: $i] : refl((~gt(X, X)) <=> (~gt(X, X)))),
% 41.12/41.33 inference(bind,[status(th)],[])).
% 41.12/41.33 tff(3,plain,
% 41.12/41.33 (![X: $i] : (~gt(X, X)) <=> ![X: $i] : (~gt(X, X))),
% 41.12/41.33 inference(quant_intro,[status(thm)],[2])).
% 41.12/41.33 tff(4,plain,
% 41.12/41.33 (![X: $i] : (~gt(X, X)) <=> ![X: $i] : (~gt(X, X))),
% 41.12/41.33 inference(rewrite,[status(thm)],[])).
% 41.12/41.33 tff(5,axiom,(![X: $i] : (~gt(X, X))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax','irreflexivity_gt')).
% 41.12/41.33 tff(6,plain,
% 41.12/41.33 (![X: $i] : (~gt(X, X))),
% 41.12/41.33 inference(modus_ponens,[status(thm)],[5, 4])).
% 41.12/41.33 tff(7,plain,(
% 41.12/41.33 ![X: $i] : (~gt(X, X))),
% 41.12/41.33 inference(skolemize,[status(sab)],[6])).
% 41.12/41.33 tff(8,plain,
% 41.12/41.33 (![X: $i] : (~gt(X, X))),
% 41.12/41.33 inference(modus_ponens,[status(thm)],[7, 3])).
% 41.12/41.33 tff(9,plain,
% 41.12/41.33 ((~![X: $i] : (~gt(X, X))) | (~gt(n0, n0))),
% 41.12/41.33 inference(quant_inst,[status(thm)],[])).
% 41.12/41.33 tff(10,plain,
% 41.12/41.33 ($false),
% 41.12/41.33 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 41.12/41.33 tff(11,plain,(~gt(n0, n0)), inference(lemma,lemma(discharge,[]))).
% 41.12/41.33 tff(12,assumption,(~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))), introduced(assumption)).
% 41.12/41.33 tff(13,plain,
% 41.12/41.33 (((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0))) | (~gt(n0, tptp_fun_X1_5(n0)))),
% 41.12/41.33 inference(tautology,[status(thm)],[])).
% 41.12/41.33 tff(14,plain,
% 41.12/41.33 (~gt(n0, tptp_fun_X1_5(n0))),
% 41.12/41.33 inference(unit_resolution,[status(thm)],[13, 12])).
% 41.12/41.33 tff(15,assumption,((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0)))), introduced(assumption)).
% 41.12/41.33 tff(16,assumption,(~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))), introduced(assumption)).
% 41.12/41.33 tff(17,plain,
% 41.12/41.33 ((gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))) | (~drugi(tptp_fun_X1_0(n0)))),
% 41.12/41.33 inference(tautology,[status(thm)],[])).
% 41.12/41.33 tff(18,plain,
% 41.12/41.33 (~drugi(tptp_fun_X1_0(n0))),
% 41.12/41.33 inference(unit_resolution,[status(thm)],[17, 16])).
% 41.12/41.33 tff(19,plain,
% 41.12/41.33 ((gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))) | (~gt(n0, tptp_fun_X1_0(n0)))),
% 41.12/41.33 inference(tautology,[status(thm)],[])).
% 41.12/41.33 tff(20,plain,
% 41.12/41.33 (~gt(n0, tptp_fun_X1_0(n0))),
% 41.12/41.33 inference(unit_resolution,[status(thm)],[19, 16])).
% 41.12/41.33 tff(21,assumption,(~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))), introduced(assumption)).
% 41.12/41.33 tff(22,plain,
% 41.12/41.33 ((uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_6(n0)))),
% 41.12/41.33 inference(tautology,[status(thm)],[])).
% 41.12/41.33 tff(23,plain,
% 41.12/41.33 (~uptakepg(tptp_fun_X1_6(n0))),
% 41.12/41.33 inference(unit_resolution,[status(thm)],[22, 21])).
% 41.12/41.33 tff(24,plain,
% 41.12/41.33 ((uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))) | (~gt(n0, tptp_fun_X1_6(n0)))),
% 41.12/41.33 inference(tautology,[status(thm)],[])).
% 41.12/41.33 tff(25,plain,
% 41.12/41.33 (~gt(n0, tptp_fun_X1_6(n0))),
% 41.12/41.33 inference(unit_resolution,[status(thm)],[24, 21])).
% 41.12/41.33 tff(26,assumption,(~gt(n0, tptp_fun_X1_6(n0))), introduced(assumption)).
% 41.12/41.33 tff(27,assumption,(~uptakepg(tptp_fun_X1_6(n0))), introduced(assumption)).
% 41.12/41.33 tff(28,assumption,(![X1: $i] : (uptakepg(X1) | gt(n0, X1))), introduced(assumption)).
% 41.12/41.33 tff(29,plain,
% 41.12/41.33 (((~![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)))),
% 41.12/41.33 inference(rewrite,[status(thm)],[])).
% 41.12/41.33 tff(30,plain,
% 41.12/41.33 ((~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))),
% 41.12/41.33 inference(quant_inst,[status(thm)],[])).
% 41.12/41.33 tff(31,plain,
% 41.12/41.33 ((~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0))),
% 41.12/41.33 inference(modus_ponens,[status(thm)],[30, 29])).
% 41.12/41.33 tff(32,plain,
% 41.12/41.33 ($false),
% 41.12/41.33 inference(unit_resolution,[status(thm)],[31, 28, 27, 26])).
% 41.12/41.33 tff(33,plain,((~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0))), inference(lemma,lemma(discharge,[]))).
% 41.12/41.33 tff(34,plain,
% 41.12/41.33 (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))),
% 41.12/41.33 inference(unit_resolution,[status(thm)],[33, 25, 23])).
% 41.12/41.33 tff(35,plain,
% 41.12/41.33 ((uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))) | (~uptakelg(tptp_fun_X1_7(n0)))),
% 41.12/41.33 inference(tautology,[status(thm)],[])).
% 41.12/41.33 tff(36,plain,
% 41.12/41.33 (~uptakelg(tptp_fun_X1_7(n0))),
% 41.12/41.33 inference(unit_resolution,[status(thm)],[35, 21])).
% 41.12/41.33 tff(37,plain,
% 41.12/41.33 ((uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))) | (~gt(n0, tptp_fun_X1_7(n0)))),
% 41.12/41.33 inference(tautology,[status(thm)],[])).
% 41.12/41.33 tff(38,plain,
% 41.12/41.33 (~gt(n0, tptp_fun_X1_7(n0))),
% 41.12/41.33 inference(unit_resolution,[status(thm)],[37, 21])).
% 41.12/41.33 tff(39,plain,
% 41.12/41.33 (^[X0: $i, X1: $i] : refl((gt(X0, X1) | uptakelg(X1) | releaselg(X1)) <=> (gt(X0, X1) | uptakelg(X1) | releaselg(X1)))),
% 41.12/41.33 inference(bind,[status(th)],[])).
% 41.12/41.33 tff(40,plain,
% 41.12/41.33 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1)) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 41.12/41.33 inference(quant_intro,[status(thm)],[39])).
% 41.12/41.33 tff(41,plain,
% 41.12/41.33 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1)) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 41.12/41.33 inference(rewrite,[status(thm)],[])).
% 41.12/41.33 tff(42,plain,
% 41.12/41.33 (^[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))))),
% 41.12/41.33 inference(bind,[status(th)],[])).
% 41.12/41.33 tff(43,plain,
% 41.12/41.33 (![X0: $i, X1: $i] : ((~gt(X0, X1)) => ((~releaselg(X1)) => uptakelg(X1))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 41.12/41.33 inference(quant_intro,[status(thm)],[42])).
% 41.12/41.33 tff(44,axiom,(![X0: $i, X1: $i] : ((~gt(X0, X1)) => ((~releaselg(X1)) => uptakelg(X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','uptake_completion')).
% 41.12/41.33 tff(45,plain,
% 41.12/41.33 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 41.12/41.33 inference(modus_ponens,[status(thm)],[44, 43])).
% 41.12/41.33 tff(46,plain,
% 41.12/41.33 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 41.12/41.33 inference(modus_ponens,[status(thm)],[45, 41])).
% 41.12/41.33 tff(47,plain,(
% 41.12/41.33 ![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 41.12/41.33 inference(skolemize,[status(sab)],[46])).
% 41.12/41.33 tff(48,plain,
% 41.12/41.33 (![X0: $i, X1: $i] : (gt(X0, X1) | uptakelg(X1) | releaselg(X1))),
% 41.12/41.33 inference(modus_ponens,[status(thm)],[47, 40])).
% 41.12/41.33 tff(49,plain,
% 41.12/41.33 (((~![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)))),
% 41.12/41.33 inference(rewrite,[status(thm)],[])).
% 41.12/41.33 tff(50,plain,
% 41.12/41.33 ((~![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)))),
% 41.12/41.33 inference(quant_inst,[status(thm)],[])).
% 41.12/41.33 tff(51,plain,
% 41.12/41.33 ((~![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))),
% 41.12/41.33 inference(modus_ponens,[status(thm)],[50, 49])).
% 41.12/41.33 tff(52,plain,
% 41.12/41.33 (releaselg(tptp_fun_X1_7(n0))),
% 41.12/41.33 inference(unit_resolution,[status(thm)],[51, 48, 38, 36])).
% 41.12/41.33 tff(53,plain,
% 41.12/41.33 (^[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)))))))),
% 41.12/41.33 inference(bind,[status(th)],[])).
% 41.12/41.33 tff(54,plain,
% 41.12/41.33 (![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)))))),
% 41.12/41.33 inference(quant_intro,[status(thm)],[53])).
% 41.12/41.33 tff(55,plain,
% 41.12/41.33 (^[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)))))),
% 41.12/41.33 inference(bind,[status(th)],[])).
% 41.12/41.33 tff(56,plain,
% 41.12/41.33 (![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))))),
% 41.12/41.33 inference(quant_intro,[status(thm)],[55])).
% 41.12/41.33 tff(57,plain,
% 41.12/41.33 (![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))))),
% 41.12/41.33 inference(pull_quant,[status(thm)],[])).
% 41.12/41.33 tff(58,plain,
% 41.12/41.33 (^[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)))))),
% 41.12/41.33 inference(bind,[status(th)],[])).
% 41.12/41.33 tff(59,plain,
% 41.12/41.33 (![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))))),
% 41.12/41.33 inference(quant_intro,[status(thm)],[58])).
% 41.12/41.33 tff(60,plain,
% 41.12/41.33 (![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))))),
% 41.12/41.33 inference(transitivity,[status(thm)],[59, 57])).
% 41.12/41.33 tff(61,plain,
% 41.12/41.33 (![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))))),
% 41.12/41.33 inference(transitivity,[status(thm)],[60, 56])).
% 41.12/41.33 tff(62,plain,
% 41.12/41.33 (^[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)))))),
% 41.12/41.33 inference(bind,[status(th)],[])).
% 41.12/41.33 tff(63,plain,
% 41.12/41.33 (![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))))),
% 41.12/41.33 inference(quant_intro,[status(thm)],[62])).
% 41.12/41.33 tff(64,plain,
% 41.12/41.33 (![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))))),
% 41.12/41.33 inference(transitivity,[status(thm)],[63, 61])).
% 41.12/41.33 tff(65,plain,
% 41.12/41.33 (![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))))),
% 41.12/41.33 inference(rewrite,[status(thm)],[])).
% 41.12/41.33 tff(66,plain,
% 41.12/41.33 (^[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))))))),
% 41.12/41.33 inference(bind,[status(th)],[])).
% 41.12/41.33 tff(67,plain,
% 41.12/41.33 (![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))))),
% 41.12/41.33 inference(quant_intro,[status(thm)],[66])).
% 41.12/41.33 tff(68,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')).
% 41.12/41.33 tff(69,plain,
% 41.12/41.33 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugbg(X1))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1))))),
% 41.12/41.33 inference(modus_ponens,[status(thm)],[68, 67])).
% 41.12/41.33 tff(70,plain,
% 41.12/41.33 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugbg(X1))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1))))),
% 41.12/41.33 inference(modus_ponens,[status(thm)],[69, 65])).
% 41.12/41.33 tff(71,plain,(
% 41.12/41.33 ![X0: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | ![X1: $i] : (gt(X0, X1) | (~releaselg(X1))))),
% 41.12/41.33 inference(skolemize,[status(sab)],[70])).
% 41.12/41.33 tff(72,plain,
% 41.12/41.33 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))) | (gt(X0, X1) | (~releaselg(X1))))),
% 41.12/41.33 inference(modus_ponens,[status(thm)],[71, 64])).
% 41.12/41.33 tff(73,plain,
% 41.12/41.33 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~(gt(X0, tptp_fun_X1_2(X0)) | drugbg(tptp_fun_X1_2(X0)))))),
% 41.12/41.33 inference(modus_ponens,[status(thm)],[72, 54])).
% 41.12/41.33 tff(74,plain,
% 41.12/41.33 (((~![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))))),
% 41.12/41.33 inference(rewrite,[status(thm)],[])).
% 41.12/41.33 tff(75,plain,
% 41.12/41.33 ((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))))),
% 41.12/41.33 inference(rewrite,[status(thm)],[])).
% 41.12/41.33 tff(76,plain,
% 41.12/41.33 ((~(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))))),
% 41.12/41.33 inference(rewrite,[status(thm)],[])).
% 41.12/41.33 tff(77,plain,
% 41.12/41.33 ((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)))))),
% 41.12/41.33 inference(monotonicity,[status(thm)],[76])).
% 41.12/41.33 tff(78,plain,
% 41.12/41.33 ((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))))),
% 41.12/41.33 inference(transitivity,[status(thm)],[77, 75])).
% 41.12/41.33 tff(79,plain,
% 41.12/41.33 (((~![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)))))),
% 41.12/41.33 inference(monotonicity,[status(thm)],[78])).
% 41.12/41.33 tff(80,plain,
% 41.12/41.33 (((~![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))))),
% 41.12/41.33 inference(transitivity,[status(thm)],[79, 74])).
% 41.12/41.33 tff(81,plain,
% 41.12/41.33 ((~![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)))))),
% 41.12/41.33 inference(quant_inst,[status(thm)],[])).
% 41.12/41.33 tff(82,plain,
% 41.12/41.33 ((~![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)))),
% 41.12/41.33 inference(modus_ponens,[status(thm)],[81, 80])).
% 41.12/41.33 tff(83,plain,
% 41.12/41.33 (~(gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))),
% 41.12/41.33 inference(unit_resolution,[status(thm)],[82, 73, 38, 52])).
% 41.12/41.33 tff(84,plain,
% 41.12/41.33 ((gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0))) | (~drugbg(tptp_fun_X1_2(n0)))),
% 41.12/41.33 inference(tautology,[status(thm)],[])).
% 41.12/41.33 tff(85,plain,
% 41.12/41.33 (~drugbg(tptp_fun_X1_2(n0))),
% 41.12/41.33 inference(unit_resolution,[status(thm)],[84, 83])).
% 41.12/41.33 tff(86,plain,
% 41.12/41.33 ((gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0))) | (~gt(n0, tptp_fun_X1_2(n0)))),
% 41.12/41.33 inference(tautology,[status(thm)],[])).
% 41.12/41.33 tff(87,plain,
% 41.12/41.33 (~gt(n0, tptp_fun_X1_2(n0))),
% 41.12/41.33 inference(unit_resolution,[status(thm)],[86, 83])).
% 41.12/41.33 tff(88,plain,
% 41.12/41.33 (^[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))))))))),
% 41.12/41.34 inference(bind,[status(th)],[])).
% 41.12/41.34 tff(89,plain,
% 41.12/41.34 (![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))))))),
% 41.12/41.34 inference(quant_intro,[status(thm)],[88])).
% 41.12/41.34 tff(90,plain,
% 41.12/41.34 (^[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))))),
% 41.12/41.34 inference(bind,[status(th)],[])).
% 41.12/41.34 tff(91,plain,
% 41.12/41.34 (![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)))),
% 41.12/41.34 inference(quant_intro,[status(thm)],[90])).
% 41.12/41.34 tff(92,plain,
% 41.12/41.34 (![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)))),
% 41.12/41.34 inference(pull_quant,[status(thm)],[])).
% 41.12/41.34 tff(93,plain,
% 41.12/41.34 (^[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))))),
% 41.12/41.34 inference(bind,[status(th)],[])).
% 41.12/41.34 tff(94,plain,
% 41.12/41.34 (![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)))),
% 41.12/41.34 inference(quant_intro,[status(thm)],[93])).
% 41.12/41.34 tff(95,plain,
% 41.12/41.34 (![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)))),
% 41.12/41.34 inference(transitivity,[status(thm)],[94, 92])).
% 41.12/41.34 tff(96,plain,
% 41.12/41.34 (![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)))),
% 41.12/41.34 inference(transitivity,[status(thm)],[95, 91])).
% 41.12/41.34 tff(97,plain,
% 41.12/41.34 (^[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))))),
% 41.12/41.34 inference(bind,[status(th)],[])).
% 41.12/41.34 tff(98,plain,
% 41.12/41.34 (![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)))),
% 41.12/41.34 inference(quant_intro,[status(thm)],[97])).
% 41.12/41.34 tff(99,plain,
% 41.12/41.34 (![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)))),
% 41.12/41.34 inference(transitivity,[status(thm)],[98, 96])).
% 41.12/41.34 tff(100,plain,
% 41.12/41.34 (![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)))),
% 41.12/41.34 inference(rewrite,[status(thm)],[])).
% 41.12/41.34 tff(101,plain,
% 41.12/41.34 (^[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)))))),
% 41.12/41.34 inference(bind,[status(th)],[])).
% 41.12/41.34 tff(102,plain,
% 41.12/41.34 (![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)))),
% 41.12/41.34 inference(quant_intro,[status(thm)],[101])).
% 41.12/41.34 tff(103,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')).
% 41.12/41.34 tff(104,plain,
% 41.12/41.34 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1)))),
% 41.12/41.34 inference(modus_ponens,[status(thm)],[103, 102])).
% 41.12/41.34 tff(105,plain,
% 41.12/41.34 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1)))),
% 41.12/41.34 inference(modus_ponens,[status(thm)],[104, 100])).
% 41.12/41.34 tff(106,plain,(
% 41.12/41.34 ![X0: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | ![X1: $i] : (gt(X0, X1) | drugbg(X1)))),
% 41.12/41.34 inference(skolemize,[status(sab)],[105])).
% 41.12/41.34 tff(107,plain,
% 41.12/41.34 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))) | (gt(X0, X1) | drugbg(X1)))),
% 41.12/41.34 inference(modus_ponens,[status(thm)],[106, 99])).
% 41.12/41.34 tff(108,plain,
% 41.12/41.34 (![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))),
% 41.12/41.34 inference(modus_ponens,[status(thm)],[107, 89])).
% 41.12/41.34 tff(109,plain,
% 41.12/41.34 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | ((~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, 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))))))) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))),
% 41.12/41.34 inference(rewrite,[status(thm)],[])).
% 41.12/41.34 tff(110,plain,
% 41.12/41.34 ((gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(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_5(n0)))) | gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))),
% 41.12/41.34 inference(rewrite,[status(thm)],[])).
% 41.12/41.34 tff(111,plain,
% 41.12/41.34 ((~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))) <=> (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0))))),
% 41.12/41.34 inference(rewrite,[status(thm)],[])).
% 41.12/41.34 tff(112,plain,
% 41.12/41.34 ((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)) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))))),
% 41.12/41.34 inference(monotonicity,[status(thm)],[111])).
% 41.12/41.34 tff(113,plain,
% 41.12/41.34 ((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)))))) <=> ((~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))),
% 41.12/41.34 inference(transitivity,[status(thm)],[112, 110])).
% 41.12/41.34 tff(114,plain,
% 41.12/41.34 (((~![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))))))) | ((~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0))))),
% 41.12/41.34 inference(monotonicity,[status(thm)],[113])).
% 41.12/41.34 tff(115,plain,
% 41.12/41.34 (((~![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))))))) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0)))),
% 41.12/41.34 inference(transitivity,[status(thm)],[114, 109])).
% 41.12/41.34 tff(116,plain,
% 41.12/41.34 ((~![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))))))),
% 41.12/41.34 inference(quant_inst,[status(thm)],[])).
% 41.12/41.34 tff(117,plain,
% 41.12/41.34 ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, tptp_fun_X1_2(n0)) | drugbg(tptp_fun_X1_2(n0))),
% 41.12/41.34 inference(modus_ponens,[status(thm)],[116, 115])).
% 41.12/41.34 tff(118,plain,
% 41.12/41.34 (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))),
% 41.12/41.34 inference(unit_resolution,[status(thm)],[117, 108, 87, 85])).
% 41.12/41.34 tff(119,plain,
% 41.12/41.34 (~gt(n0, tptp_fun_X1_5(n0))),
% 41.12/41.34 inference(unit_resolution,[status(thm)],[13, 118])).
% 41.12/41.34 tff(120,plain,
% 41.12/41.34 (((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0))) | releaselg(tptp_fun_X1_5(n0))),
% 41.12/41.34 inference(tautology,[status(thm)],[])).
% 41.12/41.34 tff(121,plain,
% 41.12/41.34 (releaselg(tptp_fun_X1_5(n0))),
% 41.12/41.34 inference(unit_resolution,[status(thm)],[120, 118])).
% 41.12/41.34 tff(122,assumption,(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1))), introduced(assumption)).
% 41.12/41.34 tff(123,plain,
% 41.12/41.34 (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))),
% 41.12/41.34 inference(unit_resolution,[status(thm)],[33, 23, 25])).
% 41.12/41.34 tff(124,plain,
% 41.12/41.34 ((~(![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))),
% 41.12/41.34 inference(tautology,[status(thm)],[])).
% 41.12/41.34 tff(125,plain,
% 41.12/41.34 (![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))),
% 41.12/41.34 inference(unit_resolution,[status(thm)],[124, 123, 122])).
% 41.12/41.34 tff(126,plain,
% 41.12/41.34 (((~![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)))),
% 41.12/41.34 inference(rewrite,[status(thm)],[])).
% 41.12/41.34 tff(127,plain,
% 41.12/41.34 ((~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))) | ((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))),
% 41.12/41.34 inference(quant_inst,[status(thm)],[])).
% 41.12/41.34 tff(128,plain,
% 41.12/41.34 ((~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0))),
% 41.12/41.34 inference(modus_ponens,[status(thm)],[127, 126])).
% 41.12/41.34 tff(129,plain,
% 41.12/41.34 ($false),
% 41.12/41.34 inference(unit_resolution,[status(thm)],[128, 125, 121, 119])).
% 41.12/41.34 tff(130,plain,((uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1))))), inference(lemma,lemma(discharge,[]))).
% 41.12/41.34 tff(131,plain,
% 41.12/41.34 (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))),
% 41.12/41.34 inference(unit_resolution,[status(thm)],[130, 21])).
% 41.12/41.34 tff(132,plain,
% 41.12/41.34 ((![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))),
% 41.12/41.34 inference(tautology,[status(thm)],[])).
% 41.12/41.34 tff(133,plain,
% 41.12/41.34 (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))),
% 41.12/41.34 inference(unit_resolution,[status(thm)],[132, 131])).
% 41.12/41.34 tff(134,assumption,(~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))), introduced(assumption)).
% 41.12/41.34 tff(135,assumption,(~![X1: $i] : (uptakepg(X1) | gt(n0, X1))), introduced(assumption)).
% 41.12/41.34 tff(136,plain,
% 41.12/41.34 (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))),
% 41.12/41.34 inference(unit_resolution,[status(thm)],[124, 135, 134])).
% 41.12/41.34 tff(137,assumption,(~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))), introduced(assumption)).
% 41.12/41.34 tff(138,plain,
% 41.12/41.34 ((conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0))) | (~conditionnormo(tptp_fun_X1_8(n0)))),
% 41.12/41.34 inference(tautology,[status(thm)],[])).
% 41.12/41.34 tff(139,plain,
% 41.12/41.34 (~conditionnormo(tptp_fun_X1_8(n0))),
% 41.12/41.34 inference(unit_resolution,[status(thm)],[138, 137])).
% 41.12/41.34 tff(140,plain,
% 41.12/41.34 ((conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0))) | (~gt(n0, tptp_fun_X1_8(n0)))),
% 41.12/41.34 inference(tautology,[status(thm)],[])).
% 41.12/41.34 tff(141,plain,
% 41.12/41.34 (~gt(n0, tptp_fun_X1_8(n0))),
% 41.12/41.34 inference(unit_resolution,[status(thm)],[140, 137])).
% 41.12/41.34 tff(142,assumption,(~gt(n0, tptp_fun_X1_8(n0))), introduced(assumption)).
% 41.12/41.34 tff(143,assumption,(~conditionnormo(tptp_fun_X1_8(n0))), introduced(assumption)).
% 41.12/41.34 tff(144,plain,
% 41.12/41.34 (^[X0: $i] : refl((conditionnormo(X0) | gt(n0, X0)) <=> (conditionnormo(X0) | gt(n0, X0)))),
% 41.12/41.34 inference(bind,[status(th)],[])).
% 41.12/41.34 tff(145,plain,
% 41.12/41.34 (![X0: $i] : (conditionnormo(X0) | gt(n0, X0)) <=> ![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 41.12/41.34 inference(quant_intro,[status(thm)],[144])).
% 41.12/41.34 tff(146,plain,
% 41.12/41.34 (![X0: $i] : (conditionnormo(X0) | gt(n0, X0)) <=> ![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 41.12/41.34 inference(rewrite,[status(thm)],[])).
% 41.12/41.34 tff(147,plain,
% 41.12/41.34 ((~((((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)))))),
% 41.12/41.34 inference(rewrite,[status(thm)],[])).
% 41.12/41.34 tff(148,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')).
% 41.12/41.34 tff(149,plain,
% 41.12/41.34 (~((~(s1(n0) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & (~bcapacitysn(n0)) & qilt27(n0))) | (~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))))),
% 41.12/41.34 inference(modus_ponens,[status(thm)],[148, 147])).
% 41.12/41.34 tff(150,plain,
% 41.12/41.34 (![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 41.12/41.34 inference(or_elim,[status(thm)],[149])).
% 41.12/41.34 tff(151,plain,
% 41.12/41.34 (![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 41.12/41.34 inference(modus_ponens,[status(thm)],[150, 146])).
% 41.12/41.34 tff(152,plain,(
% 41.12/41.34 ![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 41.12/41.34 inference(skolemize,[status(sab)],[151])).
% 41.12/41.34 tff(153,plain,
% 41.12/41.34 (![X0: $i] : (conditionnormo(X0) | gt(n0, X0))),
% 41.12/41.34 inference(modus_ponens,[status(thm)],[152, 145])).
% 41.12/41.34 tff(154,plain,
% 41.12/41.34 (((~![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)))),
% 41.12/41.34 inference(rewrite,[status(thm)],[])).
% 41.12/41.34 tff(155,plain,
% 41.12/41.34 ((~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))) | (conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))),
% 41.12/41.34 inference(quant_inst,[status(thm)],[])).
% 41.12/41.34 tff(156,plain,
% 41.12/41.34 ((~![X0: $i] : (conditionnormo(X0) | gt(n0, X0))) | conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0))),
% 41.12/41.34 inference(modus_ponens,[status(thm)],[155, 154])).
% 41.12/41.34 tff(157,plain,
% 41.12/41.34 ($false),
% 41.12/41.34 inference(unit_resolution,[status(thm)],[156, 153, 143, 142])).
% 41.12/41.34 tff(158,plain,(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0))), inference(lemma,lemma(discharge,[]))).
% 41.12/41.34 tff(159,plain,
% 41.12/41.34 ($false),
% 41.12/41.34 inference(unit_resolution,[status(thm)],[158, 141, 139])).
% 41.12/41.34 tff(160,plain,(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0))), inference(lemma,lemma(discharge,[]))).
% 41.12/41.34 tff(161,plain,
% 41.12/41.34 (((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1)))) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1))),
% 41.12/41.34 inference(tautology,[status(thm)],[])).
% 41.12/41.34 tff(162,plain,
% 41.12/41.34 ((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1)))),
% 41.12/41.34 inference(unit_resolution,[status(thm)],[161, 135])).
% 41.12/41.34 tff(163,plain,
% 41.12/41.34 ((~bcapacitysn(n0)) <=> (~bcapacitysn(n0))),
% 41.12/41.34 inference(rewrite,[status(thm)],[])).
% 41.12/41.34 tff(164,plain,
% 41.12/41.34 (s1(n0) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & (~bcapacitysn(n0)) & qilt27(n0)),
% 41.12/41.34 inference(or_elim,[status(thm)],[149])).
% 41.12/41.34 tff(165,plain,
% 41.12/41.34 (~bcapacitysn(n0)),
% 41.12/41.34 inference(and_elim,[status(thm)],[164])).
% 41.12/41.34 tff(166,plain,
% 41.12/41.34 (~bcapacitysn(n0)),
% 41.12/41.34 inference(modus_ponens,[status(thm)],[165, 163])).
% 41.12/41.34 tff(167,plain,
% 41.12/41.34 (((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))) | bcapacitysn(n0)),
% 41.12/41.34 inference(tautology,[status(thm)],[])).
% 41.12/41.34 tff(168,plain,
% 41.12/41.34 ((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))),
% 41.12/41.34 inference(unit_resolution,[status(thm)],[167, 166])).
% 41.12/41.34 tff(169,plain,
% 41.12/41.34 (((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1))))) | bcapacitysn(n0)),
% 41.12/41.34 inference(tautology,[status(thm)],[])).
% 41.12/41.34 tff(170,plain,
% 41.12/41.34 ((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1))))),
% 41.12/41.34 inference(unit_resolution,[status(thm)],[169, 166])).
% 41.12/41.34 tff(171,plain,
% 41.12/41.34 (^[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)))))))))),
% 41.12/41.34 inference(bind,[status(th)],[])).
% 41.12/41.34 tff(172,plain,
% 41.12/41.34 (![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)))))))),
% 41.12/41.34 inference(quant_intro,[status(thm)],[171])).
% 41.12/41.34 tff(173,plain,
% 41.12/41.34 (^[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)))))))),
% 41.12/41.34 inference(bind,[status(th)],[])).
% 41.12/41.34 tff(174,plain,
% 41.12/41.34 (![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))))))),
% 41.12/41.34 inference(quant_intro,[status(thm)],[173])).
% 41.12/41.34 tff(175,plain,
% 41.12/41.34 (^[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)))))))),
% 41.12/41.34 inference(bind,[status(th)],[])).
% 41.12/41.34 tff(176,plain,
% 41.12/41.34 (![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))))))),
% 41.12/41.34 inference(quant_intro,[status(thm)],[175])).
% 41.12/41.34 tff(177,plain,
% 41.12/41.34 (![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))))))),
% 41.12/41.34 inference(transitivity,[status(thm)],[176, 174])).
% 41.12/41.34 tff(178,plain,
% 41.12/41.34 (^[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))))))))),
% 41.19/41.35 inference(bind,[status(th)],[])).
% 41.19/41.35 tff(179,plain,
% 41.19/41.35 (![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))))))),
% 41.19/41.35 inference(quant_intro,[status(thm)],[178])).
% 41.19/41.35 tff(180,plain,
% 41.19/41.35 (![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))))),
% 41.19/41.35 inference(rewrite,[status(thm)],[])).
% 41.19/41.35 tff(181,plain,
% 41.19/41.35 (^[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))))))),
% 41.19/41.35 inference(bind,[status(th)],[])).
% 41.19/41.35 tff(182,plain,
% 41.19/41.35 (![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))))),
% 41.19/41.35 inference(quant_intro,[status(thm)],[181])).
% 41.19/41.35 tff(183,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')).
% 41.19/41.35 tff(184,plain,
% 41.19/41.35 (![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))))),
% 41.19/41.35 inference(modus_ponens,[status(thm)],[183, 182])).
% 41.19/41.35 tff(185,plain,
% 41.19/41.35 (![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))))),
% 41.19/41.35 inference(modus_ponens,[status(thm)],[184, 180])).
% 41.19/41.35 tff(186,plain,(
% 41.19/41.35 ![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)))))),
% 41.19/41.35 inference(skolemize,[status(sab)],[185])).
% 41.19/41.35 tff(187,plain,
% 41.19/41.35 (![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))))))),
% 41.19/41.35 inference(modus_ponens,[status(thm)],[186, 179])).
% 41.19/41.35 tff(188,plain,
% 41.19/41.35 (![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))))))),
% 41.19/41.35 inference(modus_ponens,[status(thm)],[187, 177])).
% 41.19/41.35 tff(189,plain,
% 41.19/41.35 (![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)))))))),
% 41.19/41.35 inference(modus_ponens,[status(thm)],[188, 172])).
% 41.19/41.35 tff(190,plain,
% 41.19/41.35 (((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | ((~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))) <=> ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | (~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 41.19/41.35 inference(rewrite,[status(thm)],[])).
% 41.19/41.35 tff(191,plain,
% 41.19/41.35 (((~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))))) <=> ((~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 41.19/41.35 inference(rewrite,[status(thm)],[])).
% 41.19/41.35 tff(192,plain,
% 41.19/41.35 ((~((~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)))))),
% 41.19/41.35 inference(rewrite,[status(thm)],[])).
% 41.19/41.35 tff(193,plain,
% 41.19/41.35 ((~((~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)))))),
% 41.19/41.35 inference(rewrite,[status(thm)],[])).
% 41.19/41.35 tff(194,plain,
% 41.19/41.35 ((~((~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))))))),
% 41.19/41.35 inference(rewrite,[status(thm)],[])).
% 41.19/41.35 tff(195,plain,
% 41.19/41.35 ((~((~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))))))),
% 41.19/41.35 inference(rewrite,[status(thm)],[])).
% 41.19/41.35 tff(196,plain,
% 41.19/41.35 ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) <=> (~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0))))),
% 41.19/41.35 inference(rewrite,[status(thm)],[])).
% 41.19/41.35 tff(197,plain,
% 41.19/41.35 (((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(n0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(n0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1))))))) <=> ((~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 41.19/41.36 inference(monotonicity,[status(thm)],[196, 195, 194, 193, 192])).
% 41.19/41.36 tff(198,plain,
% 41.19/41.36 (((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(n0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(n0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1))))))) <=> ((~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 41.19/41.36 inference(transitivity,[status(thm)],[197, 191])).
% 41.19/41.36 tff(199,plain,
% 41.19/41.36 (((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(n0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(n0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1)))))))) <=> ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | ((~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))))))),
% 41.19/41.36 inference(monotonicity,[status(thm)],[198])).
% 41.19/41.36 tff(200,plain,
% 41.19/41.36 (((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | ((~(gt(n0, tptp_fun_X1_8(n0)) | conditionnormo(tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (gt(n0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(n0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(n0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(n0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : ((~gt(n0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(n0, X1) | (~releaselg(X1)))))))) <=> ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | (~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))))))),
% 41.19/41.36 inference(transitivity,[status(thm)],[199, 190])).
% 41.19/41.36 tff(201,plain,
% 41.19/41.36 ((~![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)))))))),
% 41.19/41.36 inference(quant_inst,[status(thm)],[])).
% 41.19/41.36 tff(202,plain,
% 41.19/41.36 ((~![X0: $i] : ((~(gt(X0, tptp_fun_X1_8(X0)) | conditionnormo(tptp_fun_X1_8(X0)))) | (~((~bcapacitysn(X0)) | (~qilt27(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))))) | (~((~bcapacityne(X0)) | (~![X1: $i] : (gt(X0, X1) | bsecretioni(X1))) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~(![X1: $i] : (gt(X0, X1) | (~releaselg(X1))) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))))) | (~((~bcapacityex(X0)) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakepg(X1))) | (~![X1: $i] : (gt(X0, X1) | uptakelg(X1))))) | (~((~bcapacitysn(X0)) | qilt27(X0) | (~![X1: $i] : ((~gt(X0, X1)) | conditionhyper(X1))) | (~![X1: $i] : (gt(X0, X1) | (~releaselg(X1)))))))) | (~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacitysn(n0)) | (~qilt27(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1))))) | (~((~bcapacitysn(n0)) | qilt27(n0) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)))))),
% 41.19/41.36 inference(modus_ponens,[status(thm)],[201, 200])).
% 41.19/41.36 tff(203,plain,
% 41.19/41.36 ((~(conditionnormo(tptp_fun_X1_8(n0)) | gt(n0, tptp_fun_X1_8(n0)))) | (~((~bcapacityne(n0)) | (~![X1: $i] : (bsecretioni(X1) | gt(n0, X1))) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~(![X1: $i] : ((~releaselg(X1)) | gt(n0, X1)) | ![X1: $i] : (uptakepg(X1) | gt(n0, X1)))))) | (~((~bcapacityex(n0)) | (~![X1: $i] : (conditionhyper(X1) | (~gt(n0, X1)))) | (~![X1: $i] : (uptakepg(X1) | gt(n0, X1))) | (~![X1: $i] : (uptakelg(X1) | gt(n0, X1)))))),
% 41.19/41.36 inference(unit_resolution,[status(thm)],[202, 189, 170, 168])).
% 41.19/41.36 tff(204,plain,
% 41.19/41.36 (~((~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)))))),
% 41.19/41.36 inference(unit_resolution,[status(thm)],[203, 162, 160])).
% 41.19/41.36 tff(205,plain,
% 41.19/41.36 (((~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: $i] : (uptakepg(X1) | gt(n0, X1)))),
% 41.19/41.36 inference(tautology,[status(thm)],[])).
% 41.19/41.36 tff(206,plain,
% 41.19/41.36 ($false),
% 41.19/41.36 inference(unit_resolution,[status(thm)],[205, 204, 136])).
% 41.19/41.36 tff(207,plain,(![X1: $i] : (uptakepg(X1) | gt(n0, X1)) | ![X1: $i] : ((~releaselg(X1)) | gt(n0, X1))), inference(lemma,lemma(discharge,[]))).
% 41.19/41.36 tff(208,plain,
% 41.19/41.36 ($false),
% 41.19/41.36 inference(unit_resolution,[status(thm)],[207, 133, 34])).
% 41.19/41.36 tff(209,plain,(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))), inference(lemma,lemma(discharge,[]))).
% 41.19/41.36 tff(210,plain,
% 41.19/41.36 (^[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)))))))),
% 41.19/41.36 inference(bind,[status(th)],[])).
% 41.19/41.36 tff(211,plain,
% 41.19/41.36 (![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)))))),
% 41.19/41.36 inference(quant_intro,[status(thm)],[210])).
% 41.19/41.36 tff(212,plain,
% 41.19/41.36 (^[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))))),
% 41.19/41.36 inference(bind,[status(th)],[])).
% 41.19/41.36 tff(213,plain,
% 41.19/41.36 (![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)))),
% 41.19/41.36 inference(quant_intro,[status(thm)],[212])).
% 41.19/41.36 tff(214,plain,
% 41.19/41.36 (![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)))),
% 41.19/41.36 inference(pull_quant,[status(thm)],[])).
% 41.19/41.36 tff(215,plain,
% 41.19/41.36 (^[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))))),
% 41.19/41.36 inference(bind,[status(th)],[])).
% 41.19/41.36 tff(216,plain,
% 41.19/41.36 (![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)))),
% 41.19/41.36 inference(quant_intro,[status(thm)],[215])).
% 41.19/41.36 tff(217,plain,
% 41.19/41.36 (![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)))),
% 41.19/41.36 inference(transitivity,[status(thm)],[216, 214])).
% 41.19/41.36 tff(218,plain,
% 41.19/41.36 (![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)))),
% 41.19/41.36 inference(transitivity,[status(thm)],[217, 213])).
% 41.19/41.36 tff(219,plain,
% 41.19/41.36 (^[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))))),
% 41.19/41.36 inference(bind,[status(th)],[])).
% 41.19/41.36 tff(220,plain,
% 41.19/41.36 (![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)))),
% 41.19/41.36 inference(quant_intro,[status(thm)],[219])).
% 41.19/41.36 tff(221,plain,
% 41.19/41.36 (![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)))),
% 41.19/41.36 inference(transitivity,[status(thm)],[220, 218])).
% 41.19/41.36 tff(222,plain,
% 41.19/41.36 (^[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))))),
% 41.19/41.36 inference(bind,[status(th)],[])).
% 41.19/41.36 tff(223,plain,
% 41.19/41.36 (![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)))),
% 41.19/41.36 inference(quant_intro,[status(thm)],[222])).
% 41.19/41.36 tff(224,plain,
% 41.19/41.36 (![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)))),
% 41.19/41.36 inference(rewrite,[status(thm)],[])).
% 41.19/41.36 tff(225,plain,
% 41.19/41.36 (^[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)))))),
% 41.19/41.36 inference(bind,[status(th)],[])).
% 41.19/41.36 tff(226,plain,
% 41.19/41.36 (![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)))),
% 41.19/41.36 inference(quant_intro,[status(thm)],[225])).
% 41.19/41.36 tff(227,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')).
% 41.19/41.36 tff(228,plain,
% 41.19/41.36 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 41.19/41.36 inference(modus_ponens,[status(thm)],[227, 226])).
% 41.19/41.36 tff(229,plain,
% 41.19/41.36 (![X0: $i] : ((~(![X1: $i] : (gt(X0, X1) | uptakelg(X1)) | ![X1: $i] : (gt(X0, X1) | uptakepg(X1)))) | ![X1: $i] : (gt(X0, X1) | drugi(X1)))),
% 41.19/41.36 inference(modus_ponens,[status(thm)],[228, 224])).
% 41.19/41.36 tff(230,plain,(
% 41.19/41.36 ![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)))),
% 41.19/41.36 inference(skolemize,[status(sab)],[229])).
% 41.19/41.36 tff(231,plain,
% 41.19/41.36 (![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)))),
% 41.19/41.36 inference(modus_ponens,[status(thm)],[230, 223])).
% 41.19/41.36 tff(232,plain,
% 41.19/41.36 (![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)))),
% 41.19/41.36 inference(modus_ponens,[status(thm)],[231, 221])).
% 41.19/41.36 tff(233,plain,
% 41.19/41.36 (![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)))))),
% 41.19/41.36 inference(modus_ponens,[status(thm)],[232, 211])).
% 41.19/41.36 tff(234,plain,
% 41.19/41.36 (((~![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)))))) | ((~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) | gt(n0, tptp_fun_X1_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)))))) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) | gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))),
% 41.19/41.36 inference(rewrite,[status(thm)],[])).
% 41.19/41.36 tff(235,plain,
% 41.19/41.36 ((gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))))) <=> ((~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) | gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))),
% 41.19/41.36 inference(rewrite,[status(thm)],[])).
% 41.19/41.36 tff(236,plain,
% 41.19/41.36 ((~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) <=> (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))))),
% 41.19/41.36 inference(rewrite,[status(thm)],[])).
% 41.19/41.36 tff(237,plain,
% 41.19/41.36 ((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)) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))))),
% 41.19/41.36 inference(monotonicity,[status(thm)],[236])).
% 41.19/41.36 tff(238,plain,
% 41.19/41.36 ((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))))) <=> ((~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) | gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))),
% 41.19/41.36 inference(transitivity,[status(thm)],[237, 235])).
% 41.19/41.36 tff(239,plain,
% 41.19/41.36 (((~![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)))))) | ((~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) | gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))))),
% 41.19/41.36 inference(monotonicity,[status(thm)],[238])).
% 41.19/41.36 tff(240,plain,
% 41.19/41.36 (((~![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)))))) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) | gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))),
% 41.19/41.36 inference(transitivity,[status(thm)],[239, 234])).
% 41.19/41.36 tff(241,plain,
% 41.19/41.36 ((~![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)))))),
% 41.19/41.36 inference(quant_inst,[status(thm)],[])).
% 41.19/41.36 tff(242,plain,
% 41.19/41.36 ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugi(X1) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)) | gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))))) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) | gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))),
% 41.19/41.36 inference(modus_ponens,[status(thm)],[241, 240])).
% 41.19/41.36 tff(243,plain,
% 41.19/41.36 ($false),
% 41.19/41.36 inference(unit_resolution,[status(thm)],[242, 233, 209, 20, 18])).
% 41.19/41.36 tff(244,plain,(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))), inference(lemma,lemma(discharge,[]))).
% 41.19/41.36 tff(245,assumption,(~gt(n0, tptp_fun_X1_5(n0))), introduced(assumption)).
% 41.19/41.36 tff(246,plain,
% 41.19/41.36 (^[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)))))))),
% 41.19/41.36 inference(bind,[status(th)],[])).
% 41.19/41.36 tff(247,plain,
% 41.19/41.36 (![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)))))),
% 41.19/41.36 inference(quant_intro,[status(thm)],[246])).
% 41.19/41.36 tff(248,plain,
% 41.19/41.36 (^[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)))))))),
% 41.19/41.36 inference(bind,[status(th)],[])).
% 41.19/41.36 tff(249,plain,
% 41.19/41.36 (![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))))))),
% 41.19/41.36 inference(quant_intro,[status(thm)],[248])).
% 41.19/41.36 tff(250,plain,
% 41.19/41.36 (![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))))))),
% 41.19/41.36 inference(pull_quant,[status(thm)],[])).
% 41.19/41.36 tff(251,plain,
% 41.19/41.36 (^[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)))))))),
% 41.19/41.36 inference(bind,[status(th)],[])).
% 41.19/41.36 tff(252,plain,
% 41.19/41.36 (![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))))))),
% 41.19/41.36 inference(quant_intro,[status(thm)],[251])).
% 41.19/41.36 tff(253,plain,
% 41.19/41.36 (![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))))))),
% 41.19/41.36 inference(transitivity,[status(thm)],[252, 250])).
% 41.19/41.36 tff(254,plain,
% 41.19/41.36 (![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))))))),
% 41.19/41.36 inference(transitivity,[status(thm)],[253, 249])).
% 41.19/41.36 tff(255,plain,
% 41.19/41.36 (^[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)))))))),
% 41.19/41.36 inference(bind,[status(th)],[])).
% 41.19/41.36 tff(256,plain,
% 41.19/41.36 (![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))))))),
% 41.19/41.36 inference(quant_intro,[status(thm)],[255])).
% 41.19/41.36 tff(257,plain,
% 41.19/41.36 (![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))))))),
% 41.19/41.36 inference(transitivity,[status(thm)],[256, 254])).
% 41.19/41.36 tff(258,plain,
% 41.19/41.36 (^[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)))))))),
% 41.19/41.36 inference(bind,[status(th)],[])).
% 41.19/41.36 tff(259,plain,
% 41.19/41.36 (![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))))))),
% 41.19/41.36 inference(quant_intro,[status(thm)],[258])).
% 41.19/41.36 tff(260,plain,
% 41.19/41.36 (![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))))),
% 41.19/41.36 inference(rewrite,[status(thm)],[])).
% 41.19/41.36 tff(261,plain,
% 41.19/41.36 (^[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))))))),
% 41.19/41.36 inference(bind,[status(th)],[])).
% 41.19/41.36 tff(262,plain,
% 41.19/41.36 (![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))))),
% 41.19/41.36 inference(quant_intro,[status(thm)],[261])).
% 41.19/41.36 tff(263,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')).
% 41.19/41.36 tff(264,plain,
% 41.19/41.36 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugi(X1))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))),
% 41.19/41.36 inference(modus_ponens,[status(thm)],[263, 262])).
% 41.19/41.36 tff(265,plain,
% 41.19/41.36 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugi(X1))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))),
% 41.19/41.36 inference(modus_ponens,[status(thm)],[264, 260])).
% 41.19/41.36 tff(266,plain,(
% 41.19/41.36 ![X0: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))),
% 41.19/41.36 inference(skolemize,[status(sab)],[265])).
% 41.19/41.36 tff(267,plain,
% 41.19/41.36 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))))),
% 41.19/41.36 inference(modus_ponens,[status(thm)],[266, 259])).
% 41.19/41.36 tff(268,plain,
% 41.19/41.36 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))))),
% 41.19/41.36 inference(modus_ponens,[status(thm)],[267, 257])).
% 41.19/41.36 tff(269,plain,
% 41.19/41.36 (![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))),
% 41.19/41.36 inference(modus_ponens,[status(thm)],[268, 247])).
% 41.19/41.36 tff(270,plain,
% 41.19/41.36 (((~![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))))))),
% 41.19/41.36 inference(rewrite,[status(thm)],[])).
% 41.19/41.36 tff(271,plain,
% 41.19/41.36 ((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))))))),
% 41.19/41.36 inference(rewrite,[status(thm)],[])).
% 41.19/41.36 tff(272,plain,
% 41.19/41.36 ((~(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))))),
% 41.19/41.36 inference(rewrite,[status(thm)],[])).
% 41.19/41.36 tff(273,plain,
% 41.19/41.36 ((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)))))),
% 41.19/41.36 inference(monotonicity,[status(thm)],[272])).
% 41.19/41.36 tff(274,plain,
% 41.19/41.36 ((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))))))),
% 41.19/41.36 inference(transitivity,[status(thm)],[273, 271])).
% 41.19/41.36 tff(275,plain,
% 41.19/41.36 (((~![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)))))))),
% 41.19/41.36 inference(monotonicity,[status(thm)],[274])).
% 41.19/41.36 tff(276,plain,
% 41.19/41.36 (((~![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))))))),
% 41.19/41.36 inference(transitivity,[status(thm)],[275, 270])).
% 41.19/41.36 tff(277,plain,
% 41.19/41.36 ((~![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)))))),
% 41.19/41.36 inference(quant_inst,[status(thm)],[])).
% 41.19/41.36 tff(278,plain,
% 41.19/41.36 ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))) | gt(n0, tptp_fun_X1_5(n0)) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | (~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0)))))),
% 41.19/41.37 inference(modus_ponens,[status(thm)],[277, 276])).
% 41.19/41.37 tff(279,plain,
% 41.19/41.37 ($false),
% 41.19/41.37 inference(unit_resolution,[status(thm)],[278, 269, 245, 244, 15])).
% 41.19/41.37 tff(280,plain,((~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0))))) | gt(n0, tptp_fun_X1_5(n0))), inference(lemma,lemma(discharge,[]))).
% 41.19/41.37 tff(281,plain,
% 41.19/41.37 (~((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0))))),
% 41.19/41.37 inference(unit_resolution,[status(thm)],[280, 14])).
% 41.19/41.37 tff(282,plain,
% 41.19/41.37 (((~uptakelg(tptp_fun_X1_5(n0))) | (~uptakepg(tptp_fun_X1_5(n0)))) | uptakelg(tptp_fun_X1_5(n0))),
% 41.19/41.37 inference(tautology,[status(thm)],[])).
% 41.19/41.37 tff(283,plain,
% 41.19/41.37 (uptakelg(tptp_fun_X1_5(n0))),
% 41.19/41.37 inference(unit_resolution,[status(thm)],[282, 281])).
% 41.19/41.37 tff(284,plain,
% 41.19/41.37 (releaselg(tptp_fun_X1_5(n0))),
% 41.19/41.37 inference(unit_resolution,[status(thm)],[120, 12])).
% 41.19/41.37 tff(285,plain,
% 41.19/41.37 (^[X0: $i, X1: $i] : refl((gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1))) <=> (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1))))),
% 41.19/41.37 inference(bind,[status(th)],[])).
% 41.19/41.37 tff(286,plain,
% 41.19/41.37 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 41.19/41.37 inference(quant_intro,[status(thm)],[285])).
% 41.19/41.37 tff(287,plain,
% 41.19/41.37 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 41.19/41.37 inference(rewrite,[status(thm)],[])).
% 41.19/41.37 tff(288,plain,
% 41.19/41.37 (^[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)))))),
% 41.19/41.37 inference(bind,[status(th)],[])).
% 41.19/41.37 tff(289,plain,
% 41.19/41.37 (![X0: $i, X1: $i] : ((~gt(X0, X1)) => (uptakelg(X1) => (~releaselg(X1)))) <=> ![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 41.19/41.37 inference(quant_intro,[status(thm)],[288])).
% 41.19/41.37 tff(290,axiom,(![X0: $i, X1: $i] : ((~gt(X0, X1)) => (uptakelg(X1) => (~releaselg(X1))))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax','liver_glucose')).
% 41.19/41.37 tff(291,plain,
% 41.19/41.37 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 41.19/41.37 inference(modus_ponens,[status(thm)],[290, 289])).
% 41.19/41.37 tff(292,plain,
% 41.19/41.37 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 41.19/41.37 inference(modus_ponens,[status(thm)],[291, 287])).
% 41.19/41.37 tff(293,plain,(
% 41.19/41.37 ![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 41.19/41.37 inference(skolemize,[status(sab)],[292])).
% 41.19/41.37 tff(294,plain,
% 41.19/41.37 (![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))),
% 41.19/41.37 inference(modus_ponens,[status(thm)],[293, 286])).
% 41.19/41.37 tff(295,plain,
% 41.19/41.37 (((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))) | ((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)) | (~uptakelg(tptp_fun_X1_5(n0))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)) | (~uptakelg(tptp_fun_X1_5(n0))))),
% 41.19/41.37 inference(rewrite,[status(thm)],[])).
% 41.19/41.37 tff(296,plain,
% 41.19/41.37 ((gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | (~uptakelg(tptp_fun_X1_5(n0)))) <=> ((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)) | (~uptakelg(tptp_fun_X1_5(n0))))),
% 41.19/41.37 inference(rewrite,[status(thm)],[])).
% 41.19/41.37 tff(297,plain,
% 41.19/41.37 (((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))) | (gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | (~uptakelg(tptp_fun_X1_5(n0))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))) | ((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)) | (~uptakelg(tptp_fun_X1_5(n0)))))),
% 41.21/41.37 inference(monotonicity,[status(thm)],[296])).
% 41.21/41.37 tff(298,plain,
% 41.21/41.37 (((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))) | (gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))) | (~uptakelg(tptp_fun_X1_5(n0))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)) | (~uptakelg(tptp_fun_X1_5(n0))))),
% 41.21/41.37 inference(transitivity,[status(thm)],[297, 295])).
% 41.21/41.37 tff(299,plain,
% 41.21/41.37 ((~![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))))),
% 41.21/41.37 inference(quant_inst,[status(thm)],[])).
% 41.21/41.37 tff(300,plain,
% 41.21/41.37 ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~releaselg(X1)) | (~uptakelg(X1)))) | (~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)) | (~uptakelg(tptp_fun_X1_5(n0)))),
% 41.21/41.37 inference(modus_ponens,[status(thm)],[299, 298])).
% 41.21/41.37 tff(301,plain,
% 41.21/41.37 ($false),
% 41.21/41.37 inference(unit_resolution,[status(thm)],[300, 294, 284, 14, 283])).
% 41.21/41.37 tff(302,plain,((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0))), inference(lemma,lemma(discharge,[]))).
% 41.21/41.37 tff(303,plain,
% 41.21/41.37 (s1(n0) <=> s1(n0)),
% 41.21/41.37 inference(rewrite,[status(thm)],[])).
% 41.21/41.37 tff(304,plain,
% 41.21/41.37 (s1(n0)),
% 41.21/41.37 inference(and_elim,[status(thm)],[164])).
% 41.21/41.37 tff(305,plain,
% 41.21/41.37 (s1(n0)),
% 41.21/41.37 inference(modus_ponens,[status(thm)],[304, 303])).
% 41.21/41.37 tff(306,plain,
% 41.21/41.37 (^[X0: $i] : refl(((~s1(X0)) | (~s3(X0))) <=> ((~s1(X0)) | (~s3(X0))))),
% 41.21/41.37 inference(bind,[status(th)],[])).
% 41.21/41.37 tff(307,plain,
% 41.21/41.37 (![X0: $i] : ((~s1(X0)) | (~s3(X0))) <=> ![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 41.21/41.37 inference(quant_intro,[status(thm)],[306])).
% 41.21/41.37 tff(308,plain,
% 41.21/41.37 (![X0: $i] : ((~s1(X0)) | (~s3(X0))) <=> ![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 41.21/41.37 inference(rewrite,[status(thm)],[])).
% 41.21/41.37 tff(309,axiom,(![X0: $i] : ((~s1(X0)) | (~s3(X0)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','xorstep6')).
% 41.21/41.37 tff(310,plain,
% 41.21/41.37 (![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 41.21/41.37 inference(modus_ponens,[status(thm)],[309, 308])).
% 41.21/41.37 tff(311,plain,(
% 41.21/41.37 ![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 41.21/41.37 inference(skolemize,[status(sab)],[310])).
% 41.21/41.37 tff(312,plain,
% 41.21/41.37 (![X0: $i] : ((~s1(X0)) | (~s3(X0)))),
% 41.21/41.37 inference(modus_ponens,[status(thm)],[311, 307])).
% 41.21/41.37 tff(313,plain,
% 41.21/41.37 (((~![X0: $i] : ((~s1(X0)) | (~s3(X0)))) | ((~s1(n0)) | (~s3(n0)))) <=> ((~![X0: $i] : ((~s1(X0)) | (~s3(X0)))) | (~s1(n0)) | (~s3(n0)))),
% 41.21/41.37 inference(rewrite,[status(thm)],[])).
% 41.21/41.37 tff(314,plain,
% 41.21/41.37 ((~![X0: $i] : ((~s1(X0)) | (~s3(X0)))) | ((~s1(n0)) | (~s3(n0)))),
% 41.21/41.37 inference(quant_inst,[status(thm)],[])).
% 41.21/41.37 tff(315,plain,
% 41.21/41.37 ((~![X0: $i] : ((~s1(X0)) | (~s3(X0)))) | (~s1(n0)) | (~s3(n0))),
% 41.21/41.37 inference(modus_ponens,[status(thm)],[314, 313])).
% 41.21/41.37 tff(316,plain,
% 41.21/41.37 (~s3(n0)),
% 41.21/41.37 inference(unit_resolution,[status(thm)],[315, 312, 305])).
% 41.21/41.37 tff(317,plain,
% 41.21/41.37 (^[X0: $i] : refl(((~s1(X0)) | (~s2(X0))) <=> ((~s1(X0)) | (~s2(X0))))),
% 41.21/41.37 inference(bind,[status(th)],[])).
% 41.21/41.37 tff(318,plain,
% 41.21/41.37 (![X0: $i] : ((~s1(X0)) | (~s2(X0))) <=> ![X0: $i] : ((~s1(X0)) | (~s2(X0)))),
% 41.21/41.37 inference(quant_intro,[status(thm)],[317])).
% 41.21/41.37 tff(319,plain,
% 41.21/41.37 (![X0: $i] : ((~s1(X0)) | (~s2(X0))) <=> ![X0: $i] : ((~s1(X0)) | (~s2(X0)))),
% 41.21/41.37 inference(rewrite,[status(thm)],[])).
% 41.21/41.37 tff(320,axiom,(![X0: $i] : ((~s1(X0)) | (~s2(X0)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','xorstep5')).
% 41.21/41.37 tff(321,plain,
% 41.21/41.37 (![X0: $i] : ((~s1(X0)) | (~s2(X0)))),
% 41.21/41.37 inference(modus_ponens,[status(thm)],[320, 319])).
% 41.21/41.37 tff(322,plain,(
% 41.21/41.37 ![X0: $i] : ((~s1(X0)) | (~s2(X0)))),
% 41.21/41.37 inference(skolemize,[status(sab)],[321])).
% 41.21/41.37 tff(323,plain,
% 41.21/41.37 (![X0: $i] : ((~s1(X0)) | (~s2(X0)))),
% 41.21/41.37 inference(modus_ponens,[status(thm)],[322, 318])).
% 41.21/41.37 tff(324,plain,
% 41.21/41.37 (((~![X0: $i] : ((~s1(X0)) | (~s2(X0)))) | ((~s1(n0)) | (~s2(n0)))) <=> ((~![X0: $i] : ((~s1(X0)) | (~s2(X0)))) | (~s1(n0)) | (~s2(n0)))),
% 41.21/41.37 inference(rewrite,[status(thm)],[])).
% 41.21/41.37 tff(325,plain,
% 41.21/41.37 ((~![X0: $i] : ((~s1(X0)) | (~s2(X0)))) | ((~s1(n0)) | (~s2(n0)))),
% 41.21/41.37 inference(quant_inst,[status(thm)],[])).
% 41.21/41.37 tff(326,plain,
% 41.21/41.37 ((~![X0: $i] : ((~s1(X0)) | (~s2(X0)))) | (~s1(n0)) | (~s2(n0))),
% 41.21/41.37 inference(modus_ponens,[status(thm)],[325, 324])).
% 41.21/41.37 tff(327,plain,
% 41.21/41.37 (~s2(n0)),
% 41.21/41.37 inference(unit_resolution,[status(thm)],[326, 323, 305])).
% 41.21/41.37 tff(328,plain,
% 41.21/41.37 (qilt27(n0) <=> qilt27(n0)),
% 41.21/41.37 inference(rewrite,[status(thm)],[])).
% 41.21/41.37 tff(329,plain,
% 41.21/41.37 (qilt27(n0)),
% 41.21/41.37 inference(and_elim,[status(thm)],[164])).
% 41.21/41.37 tff(330,plain,
% 41.21/41.37 (qilt27(n0)),
% 41.21/41.37 inference(modus_ponens,[status(thm)],[329, 328])).
% 41.21/41.37 tff(331,plain,
% 41.21/41.37 ((qilt27(n0) | (~s1(n0))) | (~qilt27(n0))),
% 41.21/41.37 inference(tautology,[status(thm)],[])).
% 41.21/41.37 tff(332,plain,
% 41.21/41.37 (qilt27(n0) | (~s1(n0))),
% 41.21/41.37 inference(unit_resolution,[status(thm)],[331, 330])).
% 41.21/41.37 tff(333,plain,
% 41.21/41.37 (^[X0: $i] : refl((s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0))))) <=> (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0))))))),
% 41.21/41.37 inference(bind,[status(th)],[])).
% 41.21/41.37 tff(334,plain,
% 41.21/41.37 (![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0))))) <=> ![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))),
% 41.21/41.37 inference(quant_intro,[status(thm)],[333])).
% 41.21/41.37 tff(335,plain,
% 41.21/41.37 (^[X0: $i] : trans(monotonicity(rewrite((s1(X0) & (~qilt27(X0))) <=> (~(qilt27(X0) | (~s1(X0))))), ((s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0))) <=> (s2(X0) | s3(X0) | (~(qilt27(X0) | (~s1(X0)))) | (~drugbg(X0))))), rewrite((s2(X0) | s3(X0) | (~(qilt27(X0) | (~s1(X0)))) | (~drugbg(X0))) <=> (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))), ((s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0))) <=> (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))))),
% 41.21/41.37 inference(bind,[status(th)],[])).
% 41.21/41.37 tff(336,plain,
% 41.21/41.37 (![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0))) <=> ![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))),
% 41.21/41.37 inference(quant_intro,[status(thm)],[335])).
% 41.21/41.37 tff(337,plain,
% 41.21/41.37 (![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0))) <=> ![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))),
% 41.21/41.37 inference(rewrite,[status(thm)],[])).
% 41.21/41.37 tff(338,plain,
% 41.21/41.37 (^[X0: $i] : trans(monotonicity(trans(monotonicity(rewrite(((s1(X0) & (~qilt27(X0))) | s2(X0)) <=> (s2(X0) | (s1(X0) & (~qilt27(X0))))), ((((s1(X0) & (~qilt27(X0))) | s2(X0)) | s3(X0)) <=> ((s2(X0) | (s1(X0) & (~qilt27(X0)))) | s3(X0)))), rewrite(((s2(X0) | (s1(X0) & (~qilt27(X0)))) | s3(X0)) <=> (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))))), ((((s1(X0) & (~qilt27(X0))) | s2(X0)) | s3(X0)) <=> (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0)))))), ((drugbg(X0) => (((s1(X0) & (~qilt27(X0))) | s2(X0)) | s3(X0))) <=> (drugbg(X0) => (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))))))), rewrite((drugbg(X0) => (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))))) <=> (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))), ((drugbg(X0) => (((s1(X0) & (~qilt27(X0))) | s2(X0)) | s3(X0))) <=> (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))))),
% 41.21/41.37 inference(bind,[status(th)],[])).
% 41.21/41.37 tff(339,plain,
% 41.21/41.37 (![X0: $i] : (drugbg(X0) => (((s1(X0) & (~qilt27(X0))) | s2(X0)) | s3(X0))) <=> ![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))),
% 41.21/41.37 inference(quant_intro,[status(thm)],[338])).
% 41.21/41.37 tff(340,axiom,(![X0: $i] : (drugbg(X0) => (((s1(X0) & (~qilt27(X0))) | s2(X0)) | s3(X0)))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+1.ax','bgcomp')).
% 41.21/41.37 tff(341,plain,
% 41.21/41.37 (![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))),
% 41.21/41.37 inference(modus_ponens,[status(thm)],[340, 339])).
% 41.21/41.37 tff(342,plain,
% 41.21/41.37 (![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))),
% 41.21/41.37 inference(modus_ponens,[status(thm)],[341, 337])).
% 41.21/41.37 tff(343,plain,(
% 41.21/41.37 ![X0: $i] : (s2(X0) | s3(X0) | (s1(X0) & (~qilt27(X0))) | (~drugbg(X0)))),
% 41.21/41.37 inference(skolemize,[status(sab)],[342])).
% 41.21/41.37 tff(344,plain,
% 41.21/41.37 (![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))),
% 41.21/41.37 inference(modus_ponens,[status(thm)],[343, 336])).
% 41.21/41.37 tff(345,plain,
% 41.21/41.37 (![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))),
% 41.21/41.37 inference(modus_ponens,[status(thm)],[344, 334])).
% 41.21/41.37 tff(346,plain,
% 41.21/41.37 (((~![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)))))),
% 41.21/41.37 inference(rewrite,[status(thm)],[])).
% 41.21/41.37 tff(347,plain,
% 41.21/41.37 ((~![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))) | (s2(n0) | s3(n0) | (~drugbg(n0)) | (~(qilt27(n0) | (~s1(n0)))))),
% 41.21/41.37 inference(quant_inst,[status(thm)],[])).
% 41.21/41.37 tff(348,plain,
% 41.21/41.37 ((~![X0: $i] : (s2(X0) | s3(X0) | (~drugbg(X0)) | (~(qilt27(X0) | (~s1(X0)))))) | s2(n0) | s3(n0) | (~drugbg(n0)) | (~(qilt27(n0) | (~s1(n0))))),
% 41.21/41.37 inference(modus_ponens,[status(thm)],[347, 346])).
% 41.21/41.37 tff(349,plain,
% 41.21/41.37 (s2(n0) | s3(n0) | (~drugbg(n0))),
% 41.21/41.37 inference(unit_resolution,[status(thm)],[348, 345, 332])).
% 41.21/41.37 tff(350,plain,
% 41.21/41.37 (~drugbg(n0)),
% 41.21/41.37 inference(unit_resolution,[status(thm)],[349, 327, 316])).
% 41.21/41.38 tff(351,plain,
% 41.21/41.38 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | (drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, n0))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, n0))),
% 41.21/41.38 inference(rewrite,[status(thm)],[])).
% 41.21/41.38 tff(352,plain,
% 41.21/41.38 ((gt(n0, n0) | drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0))))) <=> (drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, n0))),
% 41.21/41.38 inference(rewrite,[status(thm)],[])).
% 41.21/41.38 tff(353,plain,
% 41.21/41.38 ((gt(n0, n0) | drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0)))))) <=> (gt(n0, n0) | drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))))),
% 41.21/41.38 inference(monotonicity,[status(thm)],[111])).
% 41.21/41.38 tff(354,plain,
% 41.21/41.38 ((gt(n0, n0) | drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0)))))) <=> (drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, n0))),
% 41.21/41.38 inference(transitivity,[status(thm)],[353, 352])).
% 41.21/41.38 tff(355,plain,
% 41.21/41.38 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | (gt(n0, n0) | drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | (drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, n0)))),
% 41.21/41.38 inference(monotonicity,[status(thm)],[354])).
% 41.21/41.38 tff(356,plain,
% 41.21/41.38 (((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | (gt(n0, n0) | drugbg(n0) | (~(gt(n0, tptp_fun_X1_5(n0)) | (~releaselg(tptp_fun_X1_5(n0))))))) <=> ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, n0))),
% 41.21/41.38 inference(transitivity,[status(thm)],[355, 351])).
% 41.21/41.38 tff(357,plain,
% 41.21/41.38 ((~![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))))))),
% 41.21/41.38 inference(quant_inst,[status(thm)],[])).
% 41.21/41.38 tff(358,plain,
% 41.21/41.38 ((~![X0: $i, X1: $i] : (gt(X0, X1) | drugbg(X1) | (~(gt(X0, tptp_fun_X1_5(X0)) | (~releaselg(tptp_fun_X1_5(X0))))))) | drugbg(n0) | (~((~releaselg(tptp_fun_X1_5(n0))) | gt(n0, tptp_fun_X1_5(n0)))) | gt(n0, n0)),
% 41.21/41.38 inference(modus_ponens,[status(thm)],[357, 356])).
% 41.21/41.38 tff(359,plain,
% 41.21/41.38 ($false),
% 41.21/41.38 inference(unit_resolution,[status(thm)],[358, 108, 350, 302, 11])).
% 41.21/41.38 % SZS output end Proof
% 41.21/41.39 % E exiting
%------------------------------------------------------------------------------