TSTP Solution File: MED003+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : MED003+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 18 05:08:11 EDT 2022
% Result : Theorem 0.13s 0.40s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MED003+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Sep 2 02:53:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.13/0.40 % SZS status Theorem
% 0.13/0.40 % SZS output start Proof
% 0.13/0.40 tff(uptakelg_type, type, (
% 0.13/0.40 uptakelg: $i > $o)).
% 0.13/0.40 tff(tptp_fun_X1_7_type, type, (
% 0.13/0.40 tptp_fun_X1_7: $i > $i)).
% 0.13/0.40 tff(n0_type, type, (
% 0.13/0.40 n0: $i)).
% 0.13/0.40 tff(gt_type, type, (
% 0.13/0.40 gt: ( $i * $i ) > $o)).
% 0.13/0.40 tff(conditionhyper_type, type, (
% 0.13/0.40 conditionhyper: $i > $o)).
% 0.13/0.40 tff(tptp_fun_X1_4_type, type, (
% 0.13/0.40 tptp_fun_X1_4: $i > $i)).
% 0.13/0.40 tff(bcapacityex_type, type, (
% 0.13/0.40 bcapacityex: $i > $o)).
% 0.13/0.40 tff(drugi_type, type, (
% 0.13/0.40 drugi: $i > $o)).
% 0.13/0.40 tff(conditionhypo_type, type, (
% 0.13/0.40 conditionhypo: $i > $o)).
% 0.13/0.40 tff(conditionnormo_type, type, (
% 0.13/0.40 conditionnormo: $i > $o)).
% 0.13/0.40 tff(uptakepg_type, type, (
% 0.13/0.40 uptakepg: $i > $o)).
% 0.13/0.40 tff(tptp_fun_X1_6_type, type, (
% 0.13/0.40 tptp_fun_X1_6: $i > $i)).
% 0.13/0.40 tff(tptp_fun_X1_0_type, type, (
% 0.13/0.40 tptp_fun_X1_0: $i > $i)).
% 0.13/0.40 tff(tptp_fun_X0_8_type, type, (
% 0.13/0.40 tptp_fun_X0_8: $i)).
% 0.13/0.40 tff(1,assumption,(~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))), introduced(assumption)).
% 0.13/0.40 tff(2,plain,
% 0.13/0.40 (((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0))) | (~conditionhyper(tptp_fun_X1_4(n0)))),
% 0.13/0.40 inference(tautology,[status(thm)],[])).
% 0.13/0.40 tff(3,plain,
% 0.13/0.40 (~conditionhyper(tptp_fun_X1_4(n0))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[2, 1])).
% 0.13/0.40 tff(4,plain,
% 0.13/0.40 (((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0))) | gt(n0, tptp_fun_X1_4(n0))),
% 0.13/0.40 inference(tautology,[status(thm)],[])).
% 0.13/0.40 tff(5,plain,
% 0.13/0.40 (gt(n0, tptp_fun_X1_4(n0))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.13/0.40 tff(6,plain,
% 0.13/0.40 (^[X0: $i] : refl((conditionhyper(X0) | (~gt(n0, X0))) <=> (conditionhyper(X0) | (~gt(n0, X0))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(7,plain,
% 0.13/0.40 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) <=> ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[6])).
% 0.13/0.40 tff(8,plain,
% 0.13/0.40 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) <=> ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(9,plain,
% 0.13/0.40 ((~(((![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))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 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/sandbox/benchmark/theBenchmark.p','treatmentex')).
% 0.13/0.40 tff(11,plain,
% 0.13/0.40 (~((~(![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)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.13/0.40 tff(12,plain,
% 0.13/0.40 (![X0: $i] : (drugi(X0) | gt(n0, X0)) & ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0))) & bcapacityex(n0)),
% 0.13/0.40 inference(or_elim,[status(thm)],[11])).
% 0.13/0.40 tff(13,plain,
% 0.13/0.40 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.13/0.40 inference(and_elim,[status(thm)],[12])).
% 0.13/0.40 tff(14,plain,
% 0.13/0.40 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[13, 8])).
% 0.13/0.40 tff(15,plain,(
% 0.13/0.40 ![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.13/0.40 inference(skolemize,[status(sab)],[14])).
% 0.13/0.40 tff(16,plain,
% 0.13/0.40 (![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[15, 7])).
% 0.13/0.40 tff(17,plain,
% 0.13/0.40 (((~![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))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(18,plain,
% 0.13/0.40 ((~![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))) | (conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0))))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(19,plain,
% 0.13/0.40 ((~![X0: $i] : (conditionhyper(X0) | (~gt(n0, X0)))) | conditionhyper(tptp_fun_X1_4(n0)) | (~gt(n0, tptp_fun_X1_4(n0)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.13/0.40 tff(20,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[19, 16, 5, 3])).
% 0.13/0.40 tff(21,plain,((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.40 tff(22,assumption,(~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)))), introduced(assumption)).
% 0.13/0.40 tff(23,plain,
% 0.13/0.40 ((gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0)))),
% 0.13/0.40 inference(tautology,[status(thm)],[])).
% 0.13/0.40 tff(24,plain,
% 0.13/0.40 (~uptakepg(tptp_fun_X1_6(n0))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.13/0.40 tff(25,plain,
% 0.13/0.40 ((gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0))) | (~gt(n0, tptp_fun_X1_6(n0)))),
% 0.13/0.40 inference(tautology,[status(thm)],[])).
% 0.13/0.40 tff(26,plain,
% 0.13/0.40 (~gt(n0, tptp_fun_X1_6(n0))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[25, 22])).
% 0.13/0.40 tff(27,assumption,(~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))), introduced(assumption)).
% 0.13/0.40 tff(28,plain,
% 0.13/0.40 ((gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))) | (~gt(n0, tptp_fun_X1_0(n0)))),
% 0.13/0.40 inference(tautology,[status(thm)],[])).
% 0.13/0.40 tff(29,plain,
% 0.13/0.40 (~gt(n0, tptp_fun_X1_0(n0))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[28, 27])).
% 0.13/0.40 tff(30,plain,
% 0.13/0.40 ((gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))) | (~drugi(tptp_fun_X1_0(n0)))),
% 0.13/0.40 inference(tautology,[status(thm)],[])).
% 0.13/0.40 tff(31,plain,
% 0.13/0.40 (~drugi(tptp_fun_X1_0(n0))),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[30, 27])).
% 0.13/0.40 tff(32,assumption,(~drugi(tptp_fun_X1_0(n0))), introduced(assumption)).
% 0.13/0.40 tff(33,assumption,(~gt(n0, tptp_fun_X1_0(n0))), introduced(assumption)).
% 0.13/0.40 tff(34,plain,
% 0.13/0.40 (^[X0: $i] : refl((drugi(X0) | gt(n0, X0)) <=> (drugi(X0) | gt(n0, X0)))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(35,plain,
% 0.13/0.40 (![X0: $i] : (drugi(X0) | gt(n0, X0)) <=> ![X0: $i] : (drugi(X0) | gt(n0, X0))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[34])).
% 0.13/0.40 tff(36,plain,
% 0.13/0.40 (![X0: $i] : (drugi(X0) | gt(n0, X0)) <=> ![X0: $i] : (drugi(X0) | gt(n0, X0))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(37,plain,
% 0.13/0.40 (![X0: $i] : (drugi(X0) | gt(n0, X0))),
% 0.13/0.40 inference(and_elim,[status(thm)],[12])).
% 0.13/0.40 tff(38,plain,
% 0.13/0.40 (![X0: $i] : (drugi(X0) | gt(n0, X0))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.13/0.40 tff(39,plain,(
% 0.13/0.40 ![X0: $i] : (drugi(X0) | gt(n0, X0))),
% 0.13/0.40 inference(skolemize,[status(sab)],[38])).
% 0.13/0.40 tff(40,plain,
% 0.13/0.40 (![X0: $i] : (drugi(X0) | gt(n0, X0))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.13/0.40 tff(41,plain,
% 0.13/0.40 (((~![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)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(42,plain,
% 0.13/0.40 ((~![X0: $i] : (drugi(X0) | gt(n0, X0))) | (drugi(tptp_fun_X1_0(n0)) | gt(n0, tptp_fun_X1_0(n0)))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(43,plain,
% 0.13/0.40 ((~![X0: $i] : (drugi(X0) | gt(n0, X0))) | drugi(tptp_fun_X1_0(n0)) | gt(n0, tptp_fun_X1_0(n0))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.13/0.40 tff(44,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[43, 40, 33, 32])).
% 0.13/0.40 tff(45,plain,(drugi(tptp_fun_X1_0(n0)) | gt(n0, tptp_fun_X1_0(n0))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.40 tff(46,plain,
% 0.13/0.40 ($false),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[45, 31, 29])).
% 0.13/0.40 tff(47,plain,(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))), inference(lemma,lemma(discharge,[]))).
% 0.13/0.40 tff(48,assumption,((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0)))), introduced(assumption)).
% 0.13/0.40 tff(49,assumption,(~gt(n0, tptp_fun_X1_6(n0))), introduced(assumption)).
% 0.13/0.40 tff(50,assumption,(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0))), introduced(assumption)).
% 0.13/0.40 tff(51,plain,
% 0.13/0.40 (^[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)))))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(52,plain,
% 0.13/0.40 (![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)))))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[51])).
% 0.13/0.40 tff(53,plain,
% 0.13/0.40 (^[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)))))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(54,plain,
% 0.13/0.40 (![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))))))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[53])).
% 0.13/0.40 tff(55,plain,
% 0.13/0.40 (![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))))))),
% 0.13/0.40 inference(pull_quant,[status(thm)],[])).
% 0.13/0.40 tff(56,plain,
% 0.13/0.40 (^[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)))))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(57,plain,
% 0.13/0.40 (![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))))))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[56])).
% 0.13/0.40 tff(58,plain,
% 0.13/0.40 (![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))))))),
% 0.13/0.40 inference(transitivity,[status(thm)],[57, 55])).
% 0.13/0.40 tff(59,plain,
% 0.13/0.40 (![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))))))),
% 0.13/0.40 inference(transitivity,[status(thm)],[58, 54])).
% 0.13/0.40 tff(60,plain,
% 0.13/0.40 (^[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)))))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(61,plain,
% 0.13/0.40 (![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))))))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[60])).
% 0.13/0.41 tff(62,plain,
% 0.13/0.41 (![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))))))),
% 0.13/0.41 inference(transitivity,[status(thm)],[61, 59])).
% 0.13/0.41 tff(63,plain,
% 0.13/0.41 (^[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)))))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(64,plain,
% 0.13/0.41 (![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))))))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[63])).
% 0.13/0.41 tff(65,plain,
% 0.13/0.41 (![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))))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(66,plain,
% 0.13/0.41 (^[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))))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(67,plain,
% 0.13/0.41 (![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))))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[66])).
% 0.13/0.41 tff(68,axiom,(![X0: $i] : (![X1: $i] : ((~gt(X0, X1)) => drugi(X1)) => ![X1: $i] : ((~gt(X0, X1)) => (uptakelg(X1) & uptakepg(X1))))), file('/export/starexec/sandbox/benchmark/Axioms/MED001+0.ax','insulin_effect')).
% 0.13/0.41 tff(69,plain,
% 0.13/0.41 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugi(X1))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.13/0.41 tff(70,plain,
% 0.13/0.41 (![X0: $i] : ((~![X1: $i] : (gt(X0, X1) | drugi(X1))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[69, 65])).
% 0.13/0.41 tff(71,plain,(
% 0.13/0.41 ![X0: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (uptakelg(X1) & uptakepg(X1))))),
% 0.13/0.41 inference(skolemize,[status(sab)],[70])).
% 0.13/0.41 tff(72,plain,
% 0.13/0.41 (![X0: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | ![X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[71, 64])).
% 0.13/0.41 tff(73,plain,
% 0.13/0.41 (![X0: $i, X1: $i] : ((~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))) | (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1))))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[72, 62])).
% 0.21/0.41 tff(74,plain,
% 0.21/0.41 (![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[73, 52])).
% 0.21/0.41 tff(75,plain,
% 0.21/0.41 (((~![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))))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(76,plain,
% 0.21/0.41 ((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))))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(77,plain,
% 0.21/0.41 ((~(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))))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(78,plain,
% 0.21/0.41 ((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)))))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[77])).
% 0.21/0.41 tff(79,plain,
% 0.21/0.41 ((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))))))),
% 0.21/0.41 inference(transitivity,[status(thm)],[78, 76])).
% 0.21/0.41 tff(80,plain,
% 0.21/0.41 (((~![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)))))))),
% 0.21/0.41 inference(monotonicity,[status(thm)],[79])).
% 0.21/0.41 tff(81,plain,
% 0.21/0.41 (((~![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))))))),
% 0.21/0.41 inference(transitivity,[status(thm)],[80, 75])).
% 0.21/0.41 tff(82,plain,
% 0.21/0.41 ((~![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)))))),
% 0.21/0.41 inference(quant_inst,[status(thm)],[])).
% 0.21/0.41 tff(83,plain,
% 0.21/0.41 ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | gt(n0, tptp_fun_X1_6(n0)) | (~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0)))))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.21/0.41 tff(84,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[83, 74, 50, 49, 48])).
% 0.21/0.41 tff(85,plain,((~((~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))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.41 tff(86,plain,
% 0.21/0.41 ((~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0))))) | gt(n0, tptp_fun_X1_6(n0))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[85, 47])).
% 0.21/0.41 tff(87,plain,
% 0.21/0.41 (~((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0))))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[86, 26])).
% 0.21/0.41 tff(88,plain,
% 0.21/0.41 (((~uptakelg(tptp_fun_X1_6(n0))) | (~uptakepg(tptp_fun_X1_6(n0)))) | uptakepg(tptp_fun_X1_6(n0))),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(89,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[88, 87, 24])).
% 0.21/0.41 tff(90,plain,(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.41 tff(91,assumption,(![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))), introduced(assumption)).
% 0.21/0.41 tff(92,plain,
% 0.21/0.41 ((~(conditionnormo(X0!8) | conditionhypo(X0!8) | gt(n0, X0!8))) <=> (~(conditionnormo(X0!8) | conditionhypo(X0!8) | gt(n0, X0!8)))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(93,plain,
% 0.21/0.41 ((~![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0))) <=> (~![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0)))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(94,plain,
% 0.21/0.41 (~![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0))),
% 0.21/0.41 inference(or_elim,[status(thm)],[11])).
% 0.21/0.41 tff(95,plain,
% 0.21/0.41 (~![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.21/0.41 tff(96,plain,
% 0.21/0.41 (~![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[95, 93])).
% 0.21/0.41 tff(97,plain,
% 0.21/0.41 (~![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[96, 93])).
% 0.21/0.41 tff(98,plain,
% 0.21/0.41 (~![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[97, 93])).
% 0.21/0.41 tff(99,plain,
% 0.21/0.41 (~![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[98, 93])).
% 0.21/0.41 tff(100,plain,
% 0.21/0.41 (~![X0: $i] : (conditionnormo(X0) | conditionhypo(X0) | gt(n0, X0))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[99, 93])).
% 0.21/0.41 tff(101,plain,(
% 0.21/0.41 ~(conditionnormo(X0!8) | conditionhypo(X0!8) | gt(n0, X0!8))),
% 0.21/0.41 inference(skolemize,[status(sab)],[100])).
% 0.21/0.41 tff(102,plain,
% 0.21/0.41 (~(conditionnormo(X0!8) | conditionhypo(X0!8) | gt(n0, X0!8))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[101, 92])).
% 0.21/0.41 tff(103,plain,
% 0.21/0.41 (~gt(n0, X0!8)),
% 0.21/0.41 inference(or_elim,[status(thm)],[102])).
% 0.21/0.41 tff(104,plain,
% 0.21/0.41 (~conditionhypo(X0!8)),
% 0.21/0.41 inference(or_elim,[status(thm)],[102])).
% 0.21/0.41 tff(105,plain,
% 0.21/0.41 (~conditionnormo(X0!8)),
% 0.21/0.41 inference(or_elim,[status(thm)],[102])).
% 0.21/0.41 tff(106,plain,
% 0.21/0.41 (((~![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))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(107,plain,
% 0.21/0.41 ((~![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))) | (conditionnormo(X0!8) | conditionhypo(X0!8) | gt(n0, X0!8))),
% 0.21/0.41 inference(quant_inst,[status(thm)],[])).
% 0.21/0.41 tff(108,plain,
% 0.21/0.41 ((~![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))) | conditionnormo(X0!8) | conditionhypo(X0!8) | gt(n0, X0!8)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.21/0.41 tff(109,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[108, 105, 104, 103, 91])).
% 0.21/0.41 tff(110,plain,(~![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.41 tff(111,plain,
% 0.21/0.41 (bcapacityex(n0) <=> bcapacityex(n0)),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(112,plain,
% 0.21/0.41 (bcapacityex(n0)),
% 0.21/0.41 inference(and_elim,[status(thm)],[12])).
% 0.21/0.41 tff(113,plain,
% 0.21/0.41 (bcapacityex(n0)),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.21/0.41 tff(114,plain,
% 0.21/0.41 (^[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)))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(115,plain,
% 0.21/0.41 (![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)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[114])).
% 0.21/0.41 tff(116,plain,
% 0.21/0.41 (^[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))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(117,plain,
% 0.21/0.41 (![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)))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[116])).
% 0.21/0.41 tff(118,plain,
% 0.21/0.41 (^[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))))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(119,plain,
% 0.21/0.41 (![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)))))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[118])).
% 0.21/0.41 tff(120,plain,
% 0.21/0.41 (![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)))))),
% 0.21/0.41 inference(transitivity,[status(thm)],[119, 117])).
% 0.21/0.41 tff(121,plain,
% 0.21/0.41 (^[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)))))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(122,plain,
% 0.21/0.42 (![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)))))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[121])).
% 0.21/0.42 tff(123,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(124,plain,
% 0.21/0.42 (^[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)))))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(125,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[124])).
% 0.21/0.42 tff(126,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/sandbox/benchmark/Axioms/MED001+0.ax','ex_cure')).
% 0.21/0.42 tff(127,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[126, 125])).
% 0.21/0.42 tff(128,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[127, 123])).
% 0.21/0.42 tff(129,plain,(
% 0.21/0.42 ![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)))),
% 0.21/0.42 inference(skolemize,[status(sab)],[128])).
% 0.21/0.42 tff(130,plain,
% 0.21/0.42 (![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)))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[129, 122])).
% 0.21/0.42 tff(131,plain,
% 0.21/0.42 (![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)))))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[130, 120])).
% 0.21/0.42 tff(132,plain,
% 0.21/0.42 (![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)))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[131, 115])).
% 0.21/0.42 tff(133,plain,
% 0.21/0.42 (((~![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] : (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)) | (~((~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] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1)))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(134,plain,
% 0.21/0.42 (((~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] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, 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] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1)))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(135,plain,
% 0.21/0.42 (^[X1: $i] : rewrite((gt(n0, X1) | conditionnormo(X1) | conditionhypo(X1)) <=> (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1)))),
% 0.21/0.42 inference(bind,[status(th)],[])).
% 0.21/0.42 tff(136,plain,
% 0.21/0.42 (![X1: $i] : (gt(n0, X1) | conditionnormo(X1) | conditionhypo(X1)) <=> ![X1: $i] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))),
% 0.21/0.42 inference(quant_intro,[status(thm)],[135])).
% 0.21/0.42 tff(137,plain,
% 0.21/0.42 ((~(gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))) <=> (~(gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(138,plain,
% 0.21/0.42 ((~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0)))) <=> (~(gt(n0, tptp_fun_X1_6(n0)) | uptakepg(tptp_fun_X1_6(n0))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(139,plain,
% 0.21/0.42 ((~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0)))) <=> (~((~gt(n0, tptp_fun_X1_4(n0))) | conditionhyper(tptp_fun_X1_4(n0))))),
% 0.21/0.42 inference(rewrite,[status(thm)],[])).
% 0.21/0.42 tff(140,plain,
% 0.21/0.42 (((~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)) | (~((~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] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1)))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[139, 138, 137, 136])).
% 0.21/0.42 tff(141,plain,
% 0.21/0.42 (((~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)) | (~((~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] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1)))),
% 0.21/0.42 inference(transitivity,[status(thm)],[140, 134])).
% 0.21/0.42 tff(142,plain,
% 0.21/0.42 (((~![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)) | (~((~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] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))))),
% 0.21/0.42 inference(monotonicity,[status(thm)],[141])).
% 0.21/0.42 tff(143,plain,
% 0.21/0.42 (((~![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)) | (~((~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] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1)))),
% 0.21/0.42 inference(transitivity,[status(thm)],[142, 133])).
% 0.21/0.42 tff(144,plain,
% 0.21/0.42 ((~![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)))),
% 0.21/0.42 inference(quant_inst,[status(thm)],[])).
% 0.21/0.42 tff(145,plain,
% 0.21/0.42 ((~![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] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))),
% 0.21/0.42 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.21/0.42 tff(146,plain,
% 0.21/0.42 ((~((~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] : (conditionnormo(X1) | conditionhypo(X1) | gt(n0, X1))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[145, 132, 113])).
% 0.21/0.42 tff(147,plain,
% 0.21/0.42 ((~((~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))))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[146, 110])).
% 0.21/0.42 tff(148,plain,
% 0.21/0.42 (~(gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0)))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[147, 90, 21])).
% 0.21/0.42 tff(149,plain,
% 0.21/0.42 ((gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))) | (~uptakelg(tptp_fun_X1_7(n0)))),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(150,plain,
% 0.21/0.42 (~uptakelg(tptp_fun_X1_7(n0))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[149, 148])).
% 0.21/0.42 tff(151,plain,
% 0.21/0.42 ((gt(n0, tptp_fun_X1_7(n0)) | uptakelg(tptp_fun_X1_7(n0))) | (~gt(n0, tptp_fun_X1_7(n0)))),
% 0.21/0.42 inference(tautology,[status(thm)],[])).
% 0.21/0.42 tff(152,plain,
% 0.21/0.42 (~gt(n0, tptp_fun_X1_7(n0))),
% 0.21/0.42 inference(unit_resolution,[status(thm)],[151, 148])).
% 0.21/0.42 tff(153,assumption,((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0)))), introduced(assumption)).
% 0.21/0.42 tff(154,assumption,(~gt(n0, tptp_fun_X1_7(n0))), introduced(assumption)).
% 0.21/0.42 tff(155,plain,
% 0.21/0.42 (((~![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))))))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(156,plain,
% 0.21/0.43 ((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))))))),
% 0.21/0.43 inference(rewrite,[status(thm)],[])).
% 0.21/0.43 tff(157,plain,
% 0.21/0.43 ((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)))))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[77])).
% 0.21/0.43 tff(158,plain,
% 0.21/0.43 ((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))))))),
% 0.21/0.43 inference(transitivity,[status(thm)],[157, 156])).
% 0.21/0.43 tff(159,plain,
% 0.21/0.43 (((~![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)))))))),
% 0.21/0.43 inference(monotonicity,[status(thm)],[158])).
% 0.21/0.43 tff(160,plain,
% 0.21/0.43 (((~![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))))))),
% 0.21/0.43 inference(transitivity,[status(thm)],[159, 155])).
% 0.21/0.43 tff(161,plain,
% 0.21/0.43 ((~![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)))))),
% 0.21/0.43 inference(quant_inst,[status(thm)],[])).
% 0.21/0.43 tff(162,plain,
% 0.21/0.43 ((~![X0: $i, X1: $i] : (gt(X0, X1) | (~((~uptakelg(X1)) | (~uptakepg(X1)))) | (~(gt(X0, tptp_fun_X1_0(X0)) | drugi(tptp_fun_X1_0(X0)))))) | (~(gt(n0, tptp_fun_X1_0(n0)) | drugi(tptp_fun_X1_0(n0)))) | gt(n0, tptp_fun_X1_7(n0)) | (~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0)))))),
% 0.21/0.43 inference(modus_ponens,[status(thm)],[161, 160])).
% 0.21/0.43 tff(163,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[162, 74, 50, 154, 153])).
% 0.21/0.43 tff(164,plain,((~((~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))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.43 tff(165,plain,
% 0.21/0.43 ((~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0))))) | gt(n0, tptp_fun_X1_7(n0))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[164, 47])).
% 0.21/0.43 tff(166,plain,
% 0.21/0.43 (~((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0))))),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[165, 152])).
% 0.21/0.43 tff(167,plain,
% 0.21/0.43 (((~uptakelg(tptp_fun_X1_7(n0))) | (~uptakepg(tptp_fun_X1_7(n0)))) | uptakelg(tptp_fun_X1_7(n0))),
% 0.21/0.43 inference(tautology,[status(thm)],[])).
% 0.21/0.43 tff(168,plain,
% 0.21/0.43 ($false),
% 0.21/0.43 inference(unit_resolution,[status(thm)],[167, 166, 150])).
% 0.21/0.43 % SZS output end Proof
%------------------------------------------------------------------------------