%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MED003+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 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MED003+1 : TPTP v9.0.0. Released v3.2.0.
% 0.04/0.12 % 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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 23:27:39 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.38 % SZS status Theorem
% 0.19/0.38 % SZS output start Proof
% 0.19/0.38 tff(uptakelg_type, type, (
% 0.19/0.38 uptakelg: $i > $o)).
% 0.19/0.38 tff(tptp_fun_X1_7_type, type, (
% 0.19/0.38 tptp_fun_X1_7: $i > $i)).
% 0.19/0.38 tff(n0_type, type, (
% 0.19/0.38 n0: $i)).
% 0.19/0.38 tff(gt_type, type, (
% 0.19/0.38 gt: ( $i * $i ) > $o)).
% 0.19/0.38 tff(tptp_fun_X1_4_type, type, (
% 0.19/0.38 tptp_fun_X1_4: $i > $i)).
% 0.19/0.38 tff(conditionhyper_type, type, (
% 0.19/0.38 conditionhyper: $i > $o)).
% 0.19/0.38 tff(bcapacityex_type, type, (
% 0.19/0.38 bcapacityex: $i > $o)).
% 0.19/0.38 tff(drugi_type, type, (
% 0.19/0.38 drugi: $i > $o)).
% 0.19/0.38 tff(conditionhypo_type, type, (
% 0.19/0.38 conditionhypo: $i > $o)).
% 0.19/0.38 tff(conditionnormo_type, type, (
% 0.19/0.38 conditionnormo: $i > $o)).
% 0.19/0.38 tff(tptp_fun_X1_6_type, type, (
% 0.19/0.38 tptp_fun_X1_6: $i > $i)).
% 0.19/0.38 tff(uptakepg_type, type, (
% 0.19/0.38 uptakepg: $i > $o)).
% 0.19/0.38 tff(tptp_fun_X1_0_type, type, (
% 0.19/0.38 tptp_fun_X1_0: $i > $i)).
% 0.19/0.38 tff(tptp_fun_X0_8_type, type, (
% 0.19/0.38 tptp_fun_X0_8: $i)).
% 0.19/0.38 tff(1,assumption,(~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))), introduced(assumption)).
% 0.19/0.38 tff(2,plain,
% 0.19/0.38 ((conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0)))) | gt(n0, tptp_fun_X1_4(n0))),
% 0.19/0.38 inference(tautology,[status(thm)],[])).
% 0.19/0.38 tff(3,plain,
% 0.19/0.38 (gt(n0, tptp_fun_X1_4(n0))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[2, 1])).
% 0.19/0.38 tff(4,plain,
% 0.19/0.38 ((conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0)))) | (~conditionhyper(tptp_fun_X1_4(n0)))),
% 0.19/0.38 inference(tautology,[status(thm)],[])).
% 0.19/0.38 tff(5,plain,
% 0.19/0.38 (~conditionhyper(tptp_fun_X1_4(n0))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.19/0.38 tff(6,plain,
% 0.19/0.38 (^[X0: $i] : refl((conditionhyper(X0) | (~gt(n0, X0))) <=> (conditionhyper(X0) | (~gt(n0, X0))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(7,plain,
% 0.19/0.38 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) <=> ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[6])).
% 0.19/0.38 tff(8,plain,
% 0.19/0.38 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) <=> ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(9,plain,
% 0.19/0.38 ((~(((![X0: $i] : ((~gt(n0, X0)) => drugi(X0)) & ![X0: $i] : (gt(n0, X0) => conditionhyper(X0))) & bcapacityex(n0)) => ![X0: $i] : ((~gt(n0, X0)) => (conditionnormo(X0) | conditionhypo(X0))))) <=> (~((~(![X0: $i] : (drugi(X0) | gt(n0, X0)) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & bcapacityex(n0))) | ![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(10,axiom,(~(((![X0: $i] : ((~gt(n0, X0)) => drugi(X0)) & ![X0: $i] : (gt(n0, X0) => conditionhyper(X0))) & bcapacityex(n0)) => ![X0: $i] : ((~gt(n0, X0)) => (conditionnormo(X0) | conditionhypo(X0))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','treatmentex')).
% 0.19/0.38 tff(11,plain,
% 0.19/0.38 (~((~(![X0: $i] : (drugi(X0) | gt(n0, X0)) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & bcapacityex(n0))) | ![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.19/0.38 tff(12,plain,
% 0.19/0.38 (![X0: $i] : (drugi(X0) | gt(n0, X0)) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & bcapacityex(n0)),
% 0.19/0.38 inference(or_elim,[status(thm)],[11])).
% 0.19/0.38 tff(13,plain,
% 0.19/0.38 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.19/0.38 inference(and_elim,[status(thm)],[12])).
% 0.19/0.38 tff(14,plain,
% 0.19/0.38 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[13, 8])).
% 0.19/0.38 tff(15,plain,(
% 0.19/0.38 ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.19/0.38 inference(skolemize,[status(sab)],[14])).
% 0.19/0.38 tff(16,plain,
% 0.19/0.38 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[15, 7])).
% 0.19/0.38 tff(17,plain,
% 0.19/0.38 (((~![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))) | (conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) <=> ((~![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))) | conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(18,plain,
% 0.19/0.38 ((~![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))) | (conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))),
% 0.19/0.38 inference(quant_inst,[status(thm)],[])).
% 0.19/0.38 tff(19,plain,
% 0.19/0.38 ((~![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))) | conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0)))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.19/0.38 tff(20,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[19, 16, 5, 3])).
% 0.19/0.38 tff(21,plain,(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0)))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(22,assumption,(~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))), introduced(assumption)).
% 0.19/0.38 tff(23,plain,
% 0.19/0.38 ((uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0)))),
% 0.19/0.38 inference(tautology,[status(thm)],[])).
% 0.19/0.38 tff(24,plain,
% 0.19/0.38 (~uptakepg(tptp_fun_X1_6(n0))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.19/0.38 tff(25,plain,
% 0.19/0.38 ((uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0))) | (~gt(n0, tptp_fun_X1_6(n0)))),
% 0.19/0.38 inference(tautology,[status(thm)],[])).
% 0.19/0.38 tff(26,plain,
% 0.19/0.38 (~gt(n0, tptp_fun_X1_6(n0))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[25, 22])).
% 0.19/0.38 tff(27,assumption,(~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))), introduced(assumption)).
% 0.19/0.38 tff(28,plain,
% 0.19/0.38 ((gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))) | (~gt(n0, tptp_fun_X1_0(n0)))),
% 0.19/0.38 inference(tautology,[status(thm)],[])).
% 0.19/0.38 tff(29,plain,
% 0.19/0.38 (~gt(n0, tptp_fun_X1_0(n0))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[28, 27])).
% 0.19/0.38 tff(30,plain,
% 0.19/0.38 ((gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))) | (~drugi(tptp_fun_X1_0(n0)))),
% 0.19/0.38 inference(tautology,[status(thm)],[])).
% 0.19/0.38 tff(31,plain,
% 0.19/0.38 (~drugi(tptp_fun_X1_0(n0))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[30, 27])).
% 0.19/0.38 tff(32,assumption,(~drugi(tptp_fun_X1_0(n0))), introduced(assumption)).
% 0.19/0.38 tff(33,assumption,(~gt(n0, tptp_fun_X1_0(n0))), introduced(assumption)).
% 0.19/0.38 tff(34,plain,
% 0.19/0.38 (^[X0: $i] : refl((drugi(X0) | gt(n0, X0)) <=> (drugi(X0) | gt(n0, X0)))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(35,plain,
% 0.19/0.38 (![X0: $i] : (drugi(X0) | gt(n0, X0)) <=> ![X0: $i] : (drugi(X0) | gt(n0, X0))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[34])).
% 0.19/0.38 tff(36,plain,
% 0.19/0.38 (![X0: $i] : (drugi(X0) | gt(n0, X0)) <=> ![X0: $i] : (drugi(X0) | gt(n0, X0))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(37,plain,
% 0.19/0.38 (![X0: $i] : (drugi(X0) | gt(n0, X0))),
% 0.19/0.38 inference(and_elim,[status(thm)],[12])).
% 0.19/0.38 tff(38,plain,
% 0.19/0.38 (![X0: $i] : (drugi(X0) | gt(n0, X0))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.19/0.38 tff(39,plain,(
% 0.19/0.38 ![X0: $i] : (drugi(X0) | gt(n0, X0))),
% 0.19/0.38 inference(skolemize,[status(sab)],[38])).
% 0.19/0.38 tff(40,plain,
% 0.19/0.38 (![X0: $i] : (drugi(X0) | gt(n0, X0))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.19/0.38 tff(41,plain,
% 0.19/0.38 (((~![X0: $i] : (drugi(X0) | gt(n0, X0))) | (drugi(tptp_fun_X1_0(n0)) | gt(n0, tptp_fun_X1_0(n0)))) <=> ((~![X0: $i] : (drugi(X0) | gt(n0, X0))) | drugi(tptp_fun_X1_0(n0)) | gt(n0, tptp_fun_X1_0(n0)))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(42,plain,
% 0.19/0.38 ((~![X0: $i] : (drugi(X0) | gt(n0, X0))) | (drugi(tptp_fun_X1_0(n0)) | gt(n0, tptp_fun_X1_0(n0)))),
% 0.19/0.38 inference(quant_inst,[status(thm)],[])).
% 0.19/0.38 tff(43,plain,
% 0.19/0.38 ((~![X0: $i] : (drugi(X0) | gt(n0, X0))) | drugi(tptp_fun_X1_0(n0)) | gt(n0, tptp_fun_X1_0(n0))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.19/0.38 tff(44,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[43, 40, 33, 32])).
% 0.19/0.38 tff(45,plain,(drugi(tptp_fun_X1_0(n0)) | gt(n0, tptp_fun_X1_0(n0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(46,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[45, 31, 29])).
% 0.19/0.38 tff(47,plain,(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(48,assumption,(~uptakepg(tptp_fun_X1_6(n0))), introduced(assumption)).
% 0.19/0.38 tff(49,plain,
% 0.19/0.38 (((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0)))) | uptakepg(tptp_fun_X1_6(n0))),
% 0.19/0.38 inference(tautology,[status(thm)],[])).
% 0.19/0.38 tff(50,plain,
% 0.19/0.38 ((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0)))),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[49, 48])).
% 0.19/0.38 tff(51,assumption,(~gt(n0, tptp_fun_X1_6(n0))), introduced(assumption)).
% 0.19/0.38 tff(52,assumption,(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))), introduced(assumption)).
% 0.19/0.38 tff(53,plain,
% 0.19/0.38 (^[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)))))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(54,plain,
% 0.19/0.38 (![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)))))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[53])).
% 0.19/0.38 tff(55,plain,
% 0.19/0.38 (^[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)))))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(56,plain,
% 0.19/0.38 (![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))))))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[55])).
% 0.19/0.38 tff(57,plain,
% 0.19/0.38 (![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))))))),
% 0.19/0.38 inference(pull_quant,[status(thm)],[])).
% 0.19/0.38 tff(58,plain,
% 0.19/0.38 (^[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)))))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(59,plain,
% 0.19/0.38 (![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))))))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[58])).
% 0.19/0.38 tff(60,plain,
% 0.19/0.38 (![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))))))),
% 0.19/0.38 inference(transitivity,[status(thm)],[59, 57])).
% 0.19/0.38 tff(61,plain,
% 0.19/0.38 (![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))))))),
% 0.19/0.38 inference(transitivity,[status(thm)],[60, 56])).
% 0.19/0.38 tff(62,plain,
% 0.19/0.38 (^[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)))))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(63,plain,
% 0.19/0.38 (![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))))))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[62])).
% 0.19/0.38 tff(64,plain,
% 0.19/0.38 (![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))))))),
% 0.19/0.38 inference(transitivity,[status(thm)],[63, 61])).
% 0.19/0.38 tff(65,plain,
% 0.19/0.38 (^[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)))))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(66,plain,
% 0.19/0.38 (![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))))))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[65])).
% 0.19/0.38 tff(67,plain,
% 0.19/0.38 (![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))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(68,plain,
% 0.19/0.38 (^[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))))))),
% 0.19/0.38 inference(bind,[status(th)],[])).
% 0.19/0.38 tff(69,plain,
% 0.19/0.38 (![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))))),
% 0.19/0.38 inference(quant_intro,[status(thm)],[68])).
% 0.19/0.38 tff(70,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')).
% 0.19/0.38 tff(71,plain,
% 0.19/0.38 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugi(X1))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.19/0.38 tff(72,plain,
% 0.19/0.38 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugi(X1))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[71, 67])).
% 0.19/0.38 tff(73,plain,(
% 0.19/0.38 ![X0: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))),
% 0.19/0.38 inference(skolemize,[status(sab)],[72])).
% 0.19/0.38 tff(74,plain,
% 0.19/0.38 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[73, 66])).
% 0.19/0.38 tff(75,plain,
% 0.19/0.38 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[74, 64])).
% 0.19/0.38 tff(76,plain,
% 0.19/0.38 (![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[75, 54])).
% 0.19/0.38 tff(77,plain,
% 0.19/0.38 (((~![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_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | gt(n0, tptp_fun_X1_6(n0)) | (~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(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_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | gt(n0, tptp_fun_X1_6(n0)) | (~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0))))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(78,plain,
% 0.19/0.38 ((gt(n0, tptp_fun_X1_6(n0)) | (~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0))))) | (~(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)))) | gt(n0, tptp_fun_X1_6(n0)) | (~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0))))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(79,plain,
% 0.19/0.38 ((~(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))))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(80,plain,
% 0.19/0.38 ((gt(n0, tptp_fun_X1_6(n0)) | (~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))))) <=> (gt(n0, tptp_fun_X1_6(n0)) | (~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[79])).
% 0.19/0.38 tff(81,plain,
% 0.19/0.38 ((gt(n0, tptp_fun_X1_6(n0)) | (~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0))))) | (~(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)))) | gt(n0, tptp_fun_X1_6(n0)) | (~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0))))))),
% 0.19/0.38 inference(transitivity,[status(thm)],[80, 78])).
% 0.19/0.38 tff(82,plain,
% 0.19/0.38 (((~![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_6(n0)) | (~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(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_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | gt(n0, tptp_fun_X1_6(n0)) | (~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0)))))))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[81])).
% 0.19/0.38 tff(83,plain,
% 0.19/0.38 (((~![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_6(n0)) | (~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(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_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | gt(n0, tptp_fun_X1_6(n0)) | (~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0))))))),
% 0.19/0.38 inference(transitivity,[status(thm)],[82, 77])).
% 0.19/0.38 tff(84,plain,
% 0.19/0.38 ((~![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_6(n0)) | (~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(85,plain,
% 0.19/0.39 ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | gt(n0, tptp_fun_X1_6(n0)) | (~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0)))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.19/0.39 tff(86,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[85, 76, 52, 51, 50])).
% 0.19/0.39 tff(87,plain,(gt(n0, tptp_fun_X1_6(n0)) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | uptakepg(tptp_fun_X1_6(n0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(88,plain,
% 0.19/0.39 (gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0))),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[87, 47])).
% 0.19/0.39 tff(89,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[88, 26, 24])).
% 0.19/0.39 tff(90,plain,(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(91,assumption,(![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))), introduced(assumption)).
% 0.19/0.39 tff(92,plain,
% 0.19/0.39 ((~(conditionnormo(X0!8) | conditionhypo(X0!8) | gt(n0, X0!8))) <=> (~(conditionnormo(X0!8) | conditionhypo(X0!8) | gt(n0, X0!8)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(93,plain,
% 0.19/0.39 ((~![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0))) <=> (~![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(94,plain,
% 0.19/0.39 (~![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0))),
% 0.19/0.39 inference(or_elim,[status(thm)],[11])).
% 0.19/0.39 tff(95,plain,
% 0.19/0.39 (~![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.19/0.39 tff(96,plain,
% 0.19/0.39 (~![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[95, 93])).
% 0.19/0.39 tff(97,plain,
% 0.19/0.39 (~![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[96, 93])).
% 0.19/0.39 tff(98,plain,(
% 0.19/0.39 ~(conditionnormo(X0!8) | conditionhypo(X0!8) | gt(n0, X0!8))),
% 0.19/0.39 inference(skolemize,[status(sab)],[97])).
% 0.19/0.39 tff(99,plain,
% 0.19/0.39 (~(conditionnormo(X0!8) | conditionhypo(X0!8) | gt(n0, X0!8))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[98, 92])).
% 0.19/0.39 tff(100,plain,
% 0.19/0.39 (~gt(n0, X0!8)),
% 0.19/0.39 inference(or_elim,[status(thm)],[99])).
% 0.19/0.39 tff(101,plain,
% 0.19/0.39 (~conditionhypo(X0!8)),
% 0.19/0.39 inference(or_elim,[status(thm)],[99])).
% 0.19/0.39 tff(102,plain,
% 0.19/0.39 (~conditionnormo(X0!8)),
% 0.19/0.39 inference(or_elim,[status(thm)],[99])).
% 0.19/0.39 tff(103,plain,
% 0.19/0.39 (((~![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))) | (conditionnormo(X0!8) | conditionhypo(X0!8) | gt(n0, X0!8))) <=> ((~![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))) | conditionnormo(X0!8) | conditionhypo(X0!8) | gt(n0, X0!8))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(104,plain,
% 0.19/0.39 ((~![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))) | (conditionnormo(X0!8) | conditionhypo(X0!8) | gt(n0, X0!8))),
% 0.19/0.39 inference(quant_inst,[status(thm)],[])).
% 0.19/0.39 tff(105,plain,
% 0.19/0.39 ((~![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))) | conditionnormo(X0!8) | conditionhypo(X0!8) | gt(n0, X0!8)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.19/0.39 tff(106,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[105, 102, 101, 100, 91])).
% 0.19/0.39 tff(107,plain,(~![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.39 tff(108,plain,
% 0.19/0.39 (bcapacityex(n0) <=> bcapacityex(n0)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(109,plain,
% 0.19/0.39 (bcapacityex(n0)),
% 0.19/0.39 inference(and_elim,[status(thm)],[12])).
% 0.19/0.39 tff(110,plain,
% 0.19/0.39 (bcapacityex(n0)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[109, 108])).
% 0.19/0.39 tff(111,plain,
% 0.19/0.39 (^[X0: $i] : trans(monotonicity(rewrite((~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) <=> (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))), rewrite((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) <=> (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))), rewrite((~(gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) <=> (~(gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0))))), (((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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))))) <=> ((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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(((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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))))) <=> ((~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)))), (((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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))))) <=> ((~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(112,plain,
% 0.19/0.39 (![X0: $i] : ((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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))))) <=> ![X0: $i] : ((~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[111])).
% 0.19/0.39 tff(113,plain,
% 0.19/0.39 (^[X0: $i] : refl(((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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))))) <=> ((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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))))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(114,plain,
% 0.19/0.39 (![X0: $i] : ((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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))))) <=> ![X0: $i] : ((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[113])).
% 0.19/0.39 tff(115,plain,
% 0.19/0.39 (^[X0: $i] : rewrite(((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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))))) <=> ((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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))))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(116,plain,
% 0.19/0.39 (![X0: $i] : ((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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))))) <=> ![X0: $i] : ((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[115])).
% 0.19/0.39 tff(117,plain,
% 0.19/0.39 (![X0: $i] : ((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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))))) <=> ![X0: $i] : ((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))))),
% 0.19/0.39 inference(transitivity,[status(thm)],[116, 114])).
% 0.19/0.39 tff(118,plain,
% 0.19/0.39 (^[X0: $i] : trans(monotonicity(trans(monotonicity(rewrite((~(gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) <=> (~(gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0))))), rewrite((~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) <=> (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0))))), rewrite((~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0)))) <=> (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))), (((~(gt(X0, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) | (~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))) | (~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))))), 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)))) | (~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) <=> ((~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) | (~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) <=> ((~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) | (~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1))) <=> (((~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1))))), rewrite((((~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1))) <=> ((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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, tptp_fun_X1_7(X0)) | uptakelg(tptp_fun_X1_7(X0)))) | (~(gt(X0, tptp_fun_X1_6(X0)) | uptakepg(tptp_fun_X1_6(X0)))) | (~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1))) <=> ((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(119,plain,
% 0.19/0.39 (![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)))) | (~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1))) <=> ![X0: $i] : ((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[118])).
% 0.19/0.39 tff(120,plain,
% 0.19/0.39 (![X0: $i] : ((~(![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) | conditionhypo(X1))) <=> ![X0: $i] : ((~(![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) | conditionhypo(X1)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(121,plain,
% 0.19/0.39 (^[X0: $i] : trans(monotonicity(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))))), quant_intro(proof_bind(^[X1: $i] : trans(monotonicity(rewrite((conditionnormo(X1) | conditionhypo(X1)) <=> (conditionnormo(X1) | conditionhypo(X1))), (((~gt(X0, X1)) => (conditionnormo(X1) | conditionhypo(X1))) <=> ((~gt(X0, X1)) => (conditionnormo(X1) | conditionhypo(X1))))), rewrite(((~gt(X0, X1)) => (conditionnormo(X1) | conditionhypo(X1))) <=> (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1))), (((~gt(X0, X1)) => (conditionnormo(X1) | conditionhypo(X1))) <=> (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1))))), (![X1: $i] : ((~gt(X0, X1)) => (conditionnormo(X1) | conditionhypo(X1))) <=> ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(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) | conditionhypo(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) | conditionhypo(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) | conditionnormo(X1) | conditionhypo(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) | conditionhypo(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) | conditionhypo(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) | conditionhypo(X1)))))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.39 tff(122,plain,
% 0.19/0.39 (![X0: $i] : ((((![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) | conditionhypo(X1)))) <=> ![X0: $i] : ((~(![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) | conditionhypo(X1)))),
% 0.19/0.39 inference(quant_intro,[status(thm)],[121])).
% 0.19/0.39 tff(123,axiom,(![X0: $i] : ((((![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) | conditionhypo(X1))))), file('/export/starexec/sandbox2/benchmark/Axioms/MED001+0.ax','ex_cure')).
% 0.19/0.39 tff(124,plain,
% 0.19/0.39 (![X0: $i] : ((~(![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) | conditionhypo(X1)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.19/0.39 tff(125,plain,
% 0.19/0.39 (![X0: $i] : ((~(![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) | conditionhypo(X1)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[124, 120])).
% 0.19/0.39 tff(126,plain,(
% 0.19/0.39 ![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)))) | (~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(X0))))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)))),
% 0.19/0.39 inference(skolemize,[status(sab)],[125])).
% 0.19/0.39 tff(127,plain,
% 0.19/0.39 (![X0: $i] : ((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[126, 119])).
% 0.19/0.39 tff(128,plain,
% 0.19/0.39 (![X0: $i] : ((~bcapacityex(X0)) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[127, 117])).
% 0.19/0.39 tff(129,plain,
% 0.19/0.39 (![X0: $i] : ((~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)))),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[128, 112])).
% 0.19/0.39 tff(130,plain,
% 0.19/0.39 (((~![X0: $i] : ((~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)))) | ((~bcapacityex(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))) | (~(uptakelg(tptp_fun_X1_7(n0)) | gt(n0, tptp_fun_X1_7(n0)))) | ![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1)))) <=> ((~![X0: $i] : ((~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)))) | (~bcapacityex(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))) | (~(uptakelg(tptp_fun_X1_7(n0)) | gt(n0, tptp_fun_X1_7(n0)))) | ![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(131,plain,
% 0.19/0.39 (((~bcapacityex(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))) | (~(uptakelg(tptp_fun_X1_7(n0)) | gt(n0, tptp_fun_X1_7(n0)))) | ![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))) <=> ((~bcapacityex(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))) | (~(uptakelg(tptp_fun_X1_7(n0)) | gt(n0, tptp_fun_X1_7(n0)))) | ![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1)))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(132,plain,
% 0.19/0.39 (^[X1: $i] : rewrite((gt(n0, X1) | conditionnormo(X1) | conditionhypo(X1)) <=> (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1)))),
% 0.19/0.39 inference(bind,[status(th)],[])).
% 0.19/0.40 tff(133,plain,
% 0.19/0.40 (![X1: $i] : (gt(n0, X1) | conditionnormo(X1) | conditionhypo(X1)) <=> ![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))),
% 0.19/0.40 inference(quant_intro,[status(thm)],[132])).
% 0.19/0.40 tff(134,plain,
% 0.19/0.40 ((~(gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) <=> (~(uptakelg(tptp_fun_X1_7(n0)) | gt(n0, tptp_fun_X1_7(n0))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(135,plain,
% 0.19/0.40 ((~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)))) <=> (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(136,plain,
% 0.19/0.40 ((~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) <=> (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0)))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(137,plain,
% 0.19/0.40 (((~bcapacityex(n0)) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1) | conditionhypo(X1))) <=> ((~bcapacityex(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))) | (~(uptakelg(tptp_fun_X1_7(n0)) | gt(n0, tptp_fun_X1_7(n0)))) | ![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1)))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[136, 135, 134, 133])).
% 0.19/0.40 tff(138,plain,
% 0.19/0.40 (((~bcapacityex(n0)) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1) | conditionhypo(X1))) <=> ((~bcapacityex(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))) | (~(uptakelg(tptp_fun_X1_7(n0)) | gt(n0, tptp_fun_X1_7(n0)))) | ![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1)))),
% 0.19/0.40 inference(transitivity,[status(thm)],[137, 131])).
% 0.19/0.40 tff(139,plain,
% 0.19/0.40 (((~![X0: $i] : ((~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)))) | ((~bcapacityex(n0)) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1) | conditionhypo(X1)))) <=> ((~![X0: $i] : ((~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)))) | ((~bcapacityex(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))) | (~(uptakelg(tptp_fun_X1_7(n0)) | gt(n0, tptp_fun_X1_7(n0)))) | ![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[138])).
% 0.19/0.40 tff(140,plain,
% 0.19/0.40 (((~![X0: $i] : ((~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)))) | ((~bcapacityex(n0)) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1) | conditionhypo(X1)))) <=> ((~![X0: $i] : ((~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)))) | (~bcapacityex(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))) | (~(uptakelg(tptp_fun_X1_7(n0)) | gt(n0, tptp_fun_X1_7(n0)))) | ![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1)))),
% 0.19/0.40 inference(transitivity,[status(thm)],[139, 130])).
% 0.19/0.40 tff(141,plain,
% 0.19/0.40 ((~![X0: $i] : ((~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)))) | ((~bcapacityex(n0)) | (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(n0, X1) | conditionnormo(X1) | conditionhypo(X1)))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(142,plain,
% 0.19/0.40 ((~![X0: $i] : ((~bcapacityex(X0)) | (~((~gt(X0, tptp_fun_X1_4(X0))) | conditionhyper(tptp_fun_X1_4(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)))) | ![X1: $i] : (gt(X0, X1) | conditionnormo(X1) | conditionhypo(X1)))) | (~bcapacityex(n0)) | (~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))) | (~(uptakelg(tptp_fun_X1_7(n0)) | gt(n0, tptp_fun_X1_7(n0)))) | ![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.19/0.40 tff(143,plain,
% 0.19/0.40 ((~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))) | (~(uptakelg(tptp_fun_X1_7(n0)) | gt(n0, tptp_fun_X1_7(n0)))) | ![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[142, 129, 110])).
% 0.19/0.40 tff(144,plain,
% 0.19/0.40 ((~(conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))) | (~(uptakepg(tptp_fun_X1_6(n0)) | gt(n0, tptp_fun_X1_6(n0)))) | (~(uptakelg(tptp_fun_X1_7(n0)) | gt(n0, tptp_fun_X1_7(n0))))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[143, 107])).
% 0.19/0.40 tff(145,plain,
% 0.19/0.40 (~(uptakelg(tptp_fun_X1_7(n0)) | gt(n0, tptp_fun_X1_7(n0)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[144, 90, 21])).
% 0.19/0.40 tff(146,plain,
% 0.19/0.40 ((uptakelg(tptp_fun_X1_7(n0)) | gt(n0, tptp_fun_X1_7(n0))) | (~uptakelg(tptp_fun_X1_7(n0)))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(147,plain,
% 0.19/0.40 (~uptakelg(tptp_fun_X1_7(n0))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[146, 145])).
% 0.19/0.40 tff(148,plain,
% 0.19/0.40 ((uptakelg(tptp_fun_X1_7(n0)) | gt(n0, tptp_fun_X1_7(n0))) | (~gt(n0, tptp_fun_X1_7(n0)))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(149,plain,
% 0.19/0.40 (~gt(n0, tptp_fun_X1_7(n0))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[148, 145])).
% 0.19/0.40 tff(150,assumption,(~uptakelg(tptp_fun_X1_7(n0))), introduced(assumption)).
% 0.19/0.40 tff(151,plain,
% 0.19/0.40 (((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0)))) | uptakelg(tptp_fun_X1_7(n0))),
% 0.19/0.40 inference(tautology,[status(thm)],[])).
% 0.19/0.40 tff(152,plain,
% 0.19/0.40 ((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0)))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[151, 150])).
% 0.19/0.40 tff(153,assumption,(~gt(n0, tptp_fun_X1_7(n0))), introduced(assumption)).
% 0.19/0.40 tff(154,plain,
% 0.19/0.40 (((~![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_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | gt(n0, tptp_fun_X1_7(n0)) | (~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(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_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | gt(n0, tptp_fun_X1_7(n0)) | (~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0))))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(155,plain,
% 0.19/0.40 ((gt(n0, tptp_fun_X1_7(n0)) | (~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0))))) | (~(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)))) | gt(n0, tptp_fun_X1_7(n0)) | (~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0))))))),
% 0.19/0.40 inference(rewrite,[status(thm)],[])).
% 0.19/0.40 tff(156,plain,
% 0.19/0.40 ((gt(n0, tptp_fun_X1_7(n0)) | (~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))))) <=> (gt(n0, tptp_fun_X1_7(n0)) | (~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[79])).
% 0.19/0.40 tff(157,plain,
% 0.19/0.40 ((gt(n0, tptp_fun_X1_7(n0)) | (~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0))))) | (~(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)))) | gt(n0, tptp_fun_X1_7(n0)) | (~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0))))))),
% 0.19/0.40 inference(transitivity,[status(thm)],[156, 155])).
% 0.19/0.40 tff(158,plain,
% 0.19/0.40 (((~![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_7(n0)) | (~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(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) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))) | ((~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | gt(n0, tptp_fun_X1_7(n0)) | (~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0)))))))),
% 0.19/0.40 inference(monotonicity,[status(thm)],[157])).
% 0.19/0.40 tff(159,plain,
% 0.19/0.40 (((~![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_7(n0)) | (~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(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) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | gt(n0, tptp_fun_X1_7(n0)) | (~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0))))))),
% 0.19/0.40 inference(transitivity,[status(thm)],[158, 154])).
% 0.19/0.40 tff(160,plain,
% 0.19/0.40 ((~![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_7(n0)) | (~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))))),
% 0.19/0.40 inference(quant_inst,[status(thm)],[])).
% 0.19/0.40 tff(161,plain,
% 0.19/0.40 ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | gt(n0, tptp_fun_X1_7(n0)) | (~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0)))))),
% 0.19/0.40 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.19/0.40 tff(162,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[161, 76, 52, 153, 152])).
% 0.19/0.40 tff(163,plain,(gt(n0, tptp_fun_X1_7(n0)) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | uptakelg(tptp_fun_X1_7(n0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.40 tff(164,plain,
% 0.19/0.40 (gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[163, 47])).
% 0.19/0.40 tff(165,plain,
% 0.19/0.40 ($false),
% 0.19/0.40 inference(unit_resolution,[status(thm)],[164, 149, 147])).
% 0.19/0.40 % SZS output end Proof
% 0.19/0.41 % E exiting
%------------------------------------------------------------------------------