Z3---4.15.1.THM-Prf.s

%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : AGT007+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n005.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 04:57:39 AM UTC 2025

% Result   : Theorem 47.80s 47.96s
% Output   : Proof 47.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : AGT007+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.11/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n005.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Thu Jun 19 10:42:35 EDT 2025
% 0.11/0.33  % CPUTime    : 
% 47.80/47.96  % SZS status Theorem
% 47.80/47.96  % SZS output start Proof
% 47.80/47.96  tff(less_type, type, (
% 47.80/47.96     less: ( $i * $i ) > $o)).
% 47.80/47.96  tff(n75_type, type, (
% 47.80/47.96     n75: $i)).
% 47.80/47.96  tff(n70_type, type, (
% 47.80/47.96     n70: $i)).
% 47.80/47.96  tff(accept_population_type, type, (
% 47.80/47.96     accept_population: ( $i * $i * $i ) > $o)).
% 47.80/47.96  tff(atheist_type, type, (
% 47.80/47.96     atheist: $i)).
% 47.80/47.96  tff(countrybcivilorganization_type, type, (
% 47.80/47.96     countrybcivilorganization: $i)).
% 47.80/47.96  tff(n8_type, type, (
% 47.80/47.96     n8: $i)).
% 47.80/47.96  tff(muslim_type, type, (
% 47.80/47.96     muslim: $i)).
% 47.80/47.96  tff(n65_type, type, (
% 47.80/47.96     n65: $i)).
% 47.80/47.96  tff(rdn_positive_less_type, type, (
% 47.80/47.96     rdn_positive_less: ( $i * $i ) > $o)).
% 47.80/47.96  tff(rdn_type, type, (
% 47.80/47.96     rdn: ( $i * $i ) > $i)).
% 47.80/47.96  tff(rdnn_type, type, (
% 47.80/47.96     rdnn: $i > $i)).
% 47.80/47.96  tff(n6_type, type, (
% 47.80/47.96     n6: $i)).
% 47.80/47.96  tff(n5_type, type, (
% 47.80/47.96     n5: $i)).
% 47.80/47.96  tff(rdn_non_zero_type, type, (
% 47.80/47.96     rdn_non_zero: $i > $o)).
% 47.80/47.96  tff(rdn_non_zero_digit_type, type, (
% 47.80/47.96     rdn_non_zero_digit: $i > $o)).
% 47.80/47.96  tff(rdn_translate_type, type, (
% 47.80/47.96     rdn_translate: ( $i * $i ) > $o)).
% 47.80/47.96  tff(rdn_pos_type, type, (
% 47.80/47.96     rdn_pos: $i > $i)).
% 47.80/47.96  tff(other_type, type, (
% 47.80/47.96     other: $i)).
% 47.80/47.96  tff(n0_type, type, (
% 47.80/47.96     n0: $i)).
% 47.80/47.96  tff(native_type, type, (
% 47.80/47.96     native: $i)).
% 47.80/47.96  tff(christian_type, type, (
% 47.80/47.96     christian: $i)).
% 47.80/47.96  tff(n30_type, type, (
% 47.80/47.96     n30: $i)).
% 47.80/47.96  tff(accept_city_type, type, (
% 47.80/47.96     accept_city: ( $i * $i ) > $o)).
% 47.80/47.96  tff(townc_type, type, (
% 47.80/47.96     townc: $i)).
% 47.80/47.96  tff(accept_leader_type, type, (
% 47.80/47.96     accept_leader: ( $i * $i ) > $o)).
% 47.80/47.96  tff(countryahumanitarianorganization_type, type, (
% 47.80/47.96     countryahumanitarianorganization: $i)).
% 47.80/47.96  tff(the_agent_in_all_proposed_teams_type, type, (
% 47.80/47.96     the_agent_in_all_proposed_teams: ( $i * $i * $i ) > $o)).
% 47.80/47.96  tff(n2_type, type, (
% 47.80/47.96     n2: $i)).
% 47.80/47.96  tff(n3_type, type, (
% 47.80/47.96     n3: $i)).
% 47.80/47.96  tff(n4_type, type, (
% 47.80/47.96     n4: $i)).
% 47.80/47.96  tff(n20_type, type, (
% 47.80/47.96     n20: $i)).
% 47.80/47.96  tff(townb_type, type, (
% 47.80/47.96     townb: $i)).
% 47.80/47.96  tff(accept_number_type, type, (
% 47.80/47.96     accept_number: ( $i * $i ) > $o)).
% 47.80/47.96  tff(countrybhumanitarianorganization_type, type, (
% 47.80/47.96     countrybhumanitarianorganization: $i)).
% 47.80/47.96  tff(accept_team_type, type, (
% 47.80/47.96     accept_team: ( $i * $i * $i * $i ) > $o)).
% 47.80/47.96  tff(cityb_type, type, (
% 47.80/47.96     cityb: $i)).
% 47.80/47.96  tff(n1_type, type, (
% 47.80/47.96     n1: $i)).
% 47.80/47.96  tff(n78_type, type, (
% 47.80/47.96     n78: $i)).
% 47.80/47.96  tff(n24_type, type, (
% 47.80/47.96     n24: $i)).
% 47.80/47.96  tff(towna_type, type, (
% 47.80/47.96     towna: $i)).
% 47.80/47.96  tff(countryacivilorganization_type, type, (
% 47.80/47.96     countryacivilorganization: $i)).
% 47.80/47.96  tff(n7_type, type, (
% 47.80/47.96     n7: $i)).
% 47.80/47.96  tff(1,assumption,(~less(n8, n65)), introduced(assumption)).
% 47.80/47.96  tff(2,plain,
% 47.80/47.96      (^[X: $i] : refl((rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X)))) <=> (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X)))))),
% 47.80/47.96      inference(bind,[status(th)],[])).
% 47.80/47.96  tff(3,plain,
% 47.80/47.96      (![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X)))) <=> ![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 47.80/47.96      inference(quant_intro,[status(thm)],[2])).
% 47.80/47.96  tff(4,plain,
% 47.80/47.96      (![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X)))) <=> ![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 47.80/47.96      inference(rewrite,[status(thm)],[])).
% 47.80/47.96  tff(5,plain,
% 47.80/47.96      (^[X: $i] : rewrite((rdn_non_zero_digit(rdnn(X)) => rdn_non_zero(rdnn(X))) <=> (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X)))))),
% 47.80/47.96      inference(bind,[status(th)],[])).
% 47.80/47.96  tff(6,plain,
% 47.80/47.96      (![X: $i] : (rdn_non_zero_digit(rdnn(X)) => rdn_non_zero(rdnn(X))) <=> ![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 47.80/47.96      inference(quant_intro,[status(thm)],[5])).
% 47.80/47.96  tff(7,axiom,(![X: $i] : (rdn_non_zero_digit(rdnn(X)) => rdn_non_zero(rdnn(X)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_non_zero_by_digit')).
% 47.80/47.96  tff(8,plain,
% 47.80/47.96      (![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[7, 6])).
% 47.80/47.96  tff(9,plain,
% 47.80/47.96      (![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[8, 4])).
% 47.80/47.96  tff(10,plain,(
% 47.80/47.96      ![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 47.80/47.96      inference(skolemize,[status(sab)],[9])).
% 47.80/47.96  tff(11,plain,
% 47.80/47.96      (![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[10, 3])).
% 47.80/47.96  tff(12,plain,
% 47.80/47.96      (rdn_non_zero_digit(rdnn(n6)) <=> rdn_non_zero_digit(rdnn(n6))),
% 47.80/47.96      inference(rewrite,[status(thm)],[])).
% 47.80/47.96  tff(13,axiom,(rdn_non_zero_digit(rdnn(n6))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_digit6')).
% 47.80/47.96  tff(14,plain,
% 47.80/47.96      (rdn_non_zero_digit(rdnn(n6))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[13, 12])).
% 47.80/47.96  tff(15,plain,
% 47.80/47.96      (((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | (rdn_non_zero(rdnn(n6)) | (~rdn_non_zero_digit(rdnn(n6))))) <=> ((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | rdn_non_zero(rdnn(n6)) | (~rdn_non_zero_digit(rdnn(n6))))),
% 47.80/47.96      inference(rewrite,[status(thm)],[])).
% 47.80/47.96  tff(16,plain,
% 47.80/47.96      ((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | (rdn_non_zero(rdnn(n6)) | (~rdn_non_zero_digit(rdnn(n6))))),
% 47.80/47.96      inference(quant_inst,[status(thm)],[])).
% 47.80/47.96  tff(17,plain,
% 47.80/47.96      ((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | rdn_non_zero(rdnn(n6)) | (~rdn_non_zero_digit(rdnn(n6)))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[16, 15])).
% 47.80/47.96  tff(18,plain,
% 47.80/47.96      (rdn_non_zero(rdnn(n6))),
% 47.80/47.96      inference(unit_resolution,[status(thm)],[17, 14, 11])).
% 47.80/47.96  tff(19,plain,
% 47.80/47.96      (^[D: $i, Db: $i, Ob: $i] : refl(((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob))) <=> ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob))))),
% 47.80/47.96      inference(bind,[status(th)],[])).
% 47.80/47.96  tff(20,plain,
% 47.80/47.96      (![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob))) <=> ![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))),
% 47.80/47.96      inference(quant_intro,[status(thm)],[19])).
% 47.80/47.96  tff(21,plain,
% 47.80/47.96      (![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob))) <=> ![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))),
% 47.80/47.96      inference(rewrite,[status(thm)],[])).
% 47.80/47.96  tff(22,plain,
% 47.80/47.96      (^[D: $i, Db: $i, Ob: $i] : rewrite((rdn_non_zero(Ob) => rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob))) <=> ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob))))),
% 47.80/47.96      inference(bind,[status(th)],[])).
% 47.80/47.96  tff(23,plain,
% 47.80/47.96      (![D: $i, Db: $i, Ob: $i] : (rdn_non_zero(Ob) => rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob))) <=> ![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))),
% 47.80/47.96      inference(quant_intro,[status(thm)],[22])).
% 47.80/47.96  tff(24,axiom,(![D: $i, Db: $i, Ob: $i] : (rdn_non_zero(Ob) => rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_extra_digits_positive_less')).
% 47.80/47.96  tff(25,plain,
% 47.80/47.96      (![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[24, 23])).
% 47.80/47.96  tff(26,plain,
% 47.80/47.96      (![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[25, 21])).
% 47.80/47.96  tff(27,plain,(
% 47.80/47.96      ![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))),
% 47.80/47.96      inference(skolemize,[status(sab)],[26])).
% 47.80/47.96  tff(28,plain,
% 47.80/47.96      (![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[27, 20])).
% 47.80/47.96  tff(29,plain,
% 47.80/47.96      (((~![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))) | ((~rdn_non_zero(rdnn(n6))) | rdn_positive_less(rdnn(n8), rdn(rdnn(n5), rdnn(n6))))) <=> ((~![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))) | (~rdn_non_zero(rdnn(n6))) | rdn_positive_less(rdnn(n8), rdn(rdnn(n5), rdnn(n6))))),
% 47.80/47.96      inference(rewrite,[status(thm)],[])).
% 47.80/47.96  tff(30,plain,
% 47.80/47.96      ((~![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))) | ((~rdn_non_zero(rdnn(n6))) | rdn_positive_less(rdnn(n8), rdn(rdnn(n5), rdnn(n6))))),
% 47.80/47.96      inference(quant_inst,[status(thm)],[])).
% 47.80/47.96  tff(31,plain,
% 47.80/47.96      ((~![D: $i, Db: $i, Ob: $i] : ((~rdn_non_zero(Ob)) | rdn_positive_less(rdnn(D), rdn(rdnn(Db), Ob)))) | (~rdn_non_zero(rdnn(n6))) | rdn_positive_less(rdnn(n8), rdn(rdnn(n5), rdnn(n6)))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[30, 29])).
% 47.80/47.96  tff(32,plain,
% 47.80/47.96      (rdn_positive_less(rdnn(n8), rdn(rdnn(n5), rdnn(n6)))),
% 47.80/47.96      inference(unit_resolution,[status(thm)],[31, 28, 18])).
% 47.80/47.96  tff(33,plain,
% 47.80/47.96      (^[X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : refl((less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))) <=> (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))))),
% 47.80/47.96      inference(bind,[status(th)],[])).
% 47.80/47.96  tff(34,plain,
% 47.80/47.96      (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))) <=> ![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))),
% 47.80/47.96      inference(quant_intro,[status(thm)],[33])).
% 47.80/47.96  tff(35,plain,
% 47.80/47.96      (^[X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : trans(monotonicity(trans(monotonicity(rewrite((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y)) <=> (~((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))))), ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) <=> (~(~((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))))))), rewrite((~(~((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))))) <=> ((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))), ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) <=> ((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))))), (((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)) <=> (((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)))), rewrite((((~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)) <=> (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))), (((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)) <=> (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))))),
% 47.80/47.96      inference(bind,[status(th)],[])).
% 47.80/47.96  tff(36,plain,
% 47.80/47.96      (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)) <=> ![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))),
% 47.80/47.96      inference(quant_intro,[status(thm)],[35])).
% 47.80/47.96  tff(37,plain,
% 47.80/47.96      (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y)) <=> ![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))),
% 47.80/47.96      inference(rewrite,[status(thm)],[])).
% 47.80/47.96  tff(38,plain,
% 47.80/47.96      (^[X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : trans(monotonicity(rewrite(((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y))) & rdn_positive_less(RDN_X, RDN_Y)) <=> (rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))), ((((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y))) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y)) <=> ((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y)))), rewrite(((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y)) <=> ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))), ((((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y))) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y)) <=> ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))))),
% 47.80/47.96      inference(bind,[status(th)],[])).
% 47.80/47.96  tff(39,plain,
% 47.80/47.96      (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y))) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y)) <=> ![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))),
% 47.80/47.96      inference(quant_intro,[status(thm)],[38])).
% 47.80/47.96  tff(40,axiom,(![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (((rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y))) & rdn_positive_less(RDN_X, RDN_Y)) => less(X, Y))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','less_entry_point_pos_pos')).
% 47.80/47.96  tff(41,plain,
% 47.80/47.96      (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[40, 39])).
% 47.80/47.96  tff(42,plain,
% 47.80/47.96      (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[41, 37])).
% 47.80/47.96  tff(43,plain,(
% 47.80/47.96      ![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : ((~(rdn_translate(X, rdn_pos(RDN_X)) & rdn_translate(Y, rdn_pos(RDN_Y)) & rdn_positive_less(RDN_X, RDN_Y))) | less(X, Y))),
% 47.80/47.96      inference(skolemize,[status(sab)],[42])).
% 47.80/47.96  tff(44,plain,
% 47.80/47.96      (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[43, 36])).
% 47.80/47.96  tff(45,plain,
% 47.80/47.96      (![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[44, 34])).
% 47.80/47.96  tff(46,plain,
% 47.80/47.96      (rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6)))) <=> rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))),
% 47.80/47.96      inference(rewrite,[status(thm)],[])).
% 47.80/47.96  tff(47,axiom,(rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax','rdn65')).
% 47.80/47.96  tff(48,plain,
% 47.80/47.96      (rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[47, 46])).
% 47.80/47.96  tff(49,plain,
% 47.80/47.96      (rdn_translate(n8, rdn_pos(rdnn(n8))) <=> rdn_translate(n8, rdn_pos(rdnn(n8)))),
% 47.80/47.96      inference(rewrite,[status(thm)],[])).
% 47.80/47.96  tff(50,axiom,(rdn_translate(n8, rdn_pos(rdnn(n8)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax','rdn8')).
% 47.80/47.96  tff(51,plain,
% 47.80/47.96      (rdn_translate(n8, rdn_pos(rdnn(n8)))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[50, 49])).
% 47.80/47.96  tff(52,plain,
% 47.80/47.96      (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n8, n65) | (~rdn_positive_less(rdnn(n8), rdn(rdnn(n5), rdnn(n6)))) | (~rdn_translate(n8, rdn_pos(rdnn(n8)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | less(n8, n65) | (~rdn_positive_less(rdnn(n8), rdn(rdnn(n5), rdnn(n6)))) | (~rdn_translate(n8, rdn_pos(rdnn(n8)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))))),
% 47.80/47.96      inference(rewrite,[status(thm)],[])).
% 47.80/47.96  tff(53,plain,
% 47.80/47.96      ((less(n8, n65) | (~rdn_translate(n8, rdn_pos(rdnn(n8)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_positive_less(rdnn(n8), rdn(rdnn(n5), rdnn(n6))))) <=> (less(n8, n65) | (~rdn_positive_less(rdnn(n8), rdn(rdnn(n5), rdnn(n6)))) | (~rdn_translate(n8, rdn_pos(rdnn(n8)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))))),
% 47.80/47.96      inference(rewrite,[status(thm)],[])).
% 47.80/47.96  tff(54,plain,
% 47.80/47.96      (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n8, n65) | (~rdn_translate(n8, rdn_pos(rdnn(n8)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_positive_less(rdnn(n8), rdn(rdnn(n5), rdnn(n6)))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n8, n65) | (~rdn_positive_less(rdnn(n8), rdn(rdnn(n5), rdnn(n6)))) | (~rdn_translate(n8, rdn_pos(rdnn(n8)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6)))))))),
% 47.80/47.96      inference(monotonicity,[status(thm)],[53])).
% 47.80/47.96  tff(55,plain,
% 47.80/47.96      (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n8, n65) | (~rdn_translate(n8, rdn_pos(rdnn(n8)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_positive_less(rdnn(n8), rdn(rdnn(n5), rdnn(n6)))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | less(n8, n65) | (~rdn_positive_less(rdnn(n8), rdn(rdnn(n5), rdnn(n6)))) | (~rdn_translate(n8, rdn_pos(rdnn(n8)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))))),
% 47.80/47.96      inference(transitivity,[status(thm)],[54, 52])).
% 47.80/47.96  tff(56,plain,
% 47.80/47.96      ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n8, n65) | (~rdn_translate(n8, rdn_pos(rdnn(n8)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6))))) | (~rdn_positive_less(rdnn(n8), rdn(rdnn(n5), rdnn(n6)))))),
% 47.80/47.96      inference(quant_inst,[status(thm)],[])).
% 47.80/47.96  tff(57,plain,
% 47.80/47.96      ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | less(n8, n65) | (~rdn_positive_less(rdnn(n8), rdn(rdnn(n5), rdnn(n6)))) | (~rdn_translate(n8, rdn_pos(rdnn(n8)))) | (~rdn_translate(n65, rdn_pos(rdn(rdnn(n5), rdnn(n6)))))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[56, 55])).
% 47.80/47.96  tff(58,plain,
% 47.80/47.96      ($false),
% 47.80/47.96      inference(unit_resolution,[status(thm)],[57, 51, 48, 45, 32, 1])).
% 47.80/47.96  tff(59,plain,(less(n8, n65)), inference(lemma,lemma(discharge,[]))).
% 47.80/47.96  tff(60,assumption,(~accept_population(countrybcivilorganization, muslim, n8)), introduced(assumption)).
% 47.80/47.96  tff(61,plain,
% 47.80/47.96      (^[A: $i] : refl((~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc))) <=> (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc))))),
% 47.80/47.96      inference(bind,[status(th)],[])).
% 47.80/47.96  tff(62,plain,
% 47.80/47.96      (![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc))) <=> ![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))),
% 47.80/47.96      inference(quant_intro,[status(thm)],[61])).
% 47.80/47.96  tff(63,plain,
% 47.80/47.96      (^[A: $i] : trans(trans(monotonicity(rewrite((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> (~((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))))), (((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> ((~((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5)))) <=> accept_city(A, townc)))), rewrite(((~((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5)))) <=> accept_city(A, townc)) <=> (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))), (((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc))))), rewrite((~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc))) <=> (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))), (((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))))),
% 47.80/47.96      inference(bind,[status(th)],[])).
% 47.80/47.96  tff(64,plain,
% 47.80/47.96      (![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> ![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))),
% 47.80/47.96      inference(quant_intro,[status(thm)],[63])).
% 47.80/47.96  tff(65,plain,
% 47.80/47.96      (![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> ![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc))),
% 47.80/47.96      inference(rewrite,[status(thm)],[])).
% 47.80/47.96  tff(66,plain,
% 47.80/47.96      (^[A: $i] : rewrite((((((accept_population(A, atheist, n30) & accept_population(A, christian, n0)) & accept_population(A, muslim, n65)) & accept_population(A, native, n0)) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc)))),
% 47.80/47.96      inference(bind,[status(th)],[])).
% 47.80/47.96  tff(67,plain,
% 47.80/47.96      (![A: $i] : (((((accept_population(A, atheist, n30) & accept_population(A, christian, n0)) & accept_population(A, muslim, n65)) & accept_population(A, native, n0)) & accept_population(A, other, n5)) <=> accept_city(A, townc)) <=> ![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc))),
% 47.80/47.96      inference(quant_intro,[status(thm)],[66])).
% 47.80/47.96  tff(68,axiom,(![A: $i] : (((((accept_population(A, atheist, n30) & accept_population(A, christian, n0)) & accept_population(A, muslim, n65)) & accept_population(A, native, n0)) & accept_population(A, other, n5)) <=> accept_city(A, townc))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a2_13')).
% 47.80/47.96  tff(69,plain,
% 47.80/47.96      (![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[68, 67])).
% 47.80/47.96  tff(70,plain,
% 47.80/47.96      (![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[69, 65])).
% 47.80/47.96  tff(71,plain,(
% 47.80/47.96      ![A: $i] : ((accept_population(A, atheist, n30) & accept_population(A, christian, n0) & accept_population(A, muslim, n65) & accept_population(A, native, n0) & accept_population(A, other, n5)) <=> accept_city(A, townc))),
% 47.80/47.96      inference(skolemize,[status(sab)],[70])).
% 47.80/47.96  tff(72,plain,
% 47.80/47.96      (![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[71, 64])).
% 47.80/47.96  tff(73,plain,
% 47.80/47.96      (![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[72, 62])).
% 47.80/47.96  tff(74,plain,
% 47.80/47.96      ((~![A: $i] : (~(((~accept_population(A, atheist, n30)) | (~accept_population(A, christian, n0)) | (~accept_population(A, muslim, n65)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n5))) <=> accept_city(A, townc)))) | (~(((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5))) <=> accept_city(countrybcivilorganization, townc)))),
% 47.80/47.96      inference(quant_inst,[status(thm)],[])).
% 47.80/47.96  tff(75,plain,
% 47.80/47.96      (~(((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5))) <=> accept_city(countrybcivilorganization, townc))),
% 47.80/47.96      inference(unit_resolution,[status(thm)],[74, 73])).
% 47.80/47.96  tff(76,plain,
% 47.80/47.96      (the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc) <=> the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)),
% 47.80/47.96      inference(rewrite,[status(thm)],[])).
% 47.80/47.96  tff(77,axiom,(the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax','event_80')).
% 47.80/47.96  tff(78,plain,
% 47.80/47.96      (the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[77, 76])).
% 47.80/47.96  tff(79,plain,
% 47.80/47.96      (^[A: $i, L: $i, C: $i] : refl(((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C))))) <=> ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C))))))),
% 47.80/47.96      inference(bind,[status(th)],[])).
% 47.80/47.96  tff(80,plain,
% 47.80/47.96      (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C))))) <=> ![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))),
% 47.80/47.96      inference(quant_intro,[status(thm)],[79])).
% 47.80/47.96  tff(81,plain,
% 47.80/47.96      (^[A: $i, L: $i, C: $i] : rewrite(((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C))) <=> ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C))))))),
% 47.80/47.96      inference(bind,[status(th)],[])).
% 47.80/47.96  tff(82,plain,
% 47.80/47.96      (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C))) <=> ![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))),
% 47.80/47.96      inference(quant_intro,[status(thm)],[81])).
% 47.80/47.96  tff(83,plain,
% 47.80/47.96      (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C))) <=> ![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C)))),
% 47.80/47.96      inference(rewrite,[status(thm)],[])).
% 47.80/47.96  tff(84,plain,
% 47.80/47.96      (^[A: $i, L: $i, C: $i] : rewrite((the_agent_in_all_proposed_teams(A, L, C) => (accept_leader(A, L) & accept_city(A, C))) <=> ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C))))),
% 47.80/47.96      inference(bind,[status(th)],[])).
% 47.80/47.96  tff(85,plain,
% 47.80/47.96      (![A: $i, L: $i, C: $i] : (the_agent_in_all_proposed_teams(A, L, C) => (accept_leader(A, L) & accept_city(A, C))) <=> ![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C)))),
% 47.80/47.96      inference(quant_intro,[status(thm)],[84])).
% 47.80/47.96  tff(86,axiom,(![A: $i, L: $i, C: $i] : (the_agent_in_all_proposed_teams(A, L, C) => (accept_leader(A, L) & accept_city(A, C)))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a1_4')).
% 47.80/47.96  tff(87,plain,
% 47.80/47.96      (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C)))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[86, 85])).
% 47.80/47.96  tff(88,plain,
% 47.80/47.96      (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C)))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[87, 83])).
% 47.80/47.96  tff(89,plain,(
% 47.80/47.96      ![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (accept_leader(A, L) & accept_city(A, C)))),
% 47.80/47.96      inference(skolemize,[status(sab)],[88])).
% 47.80/47.96  tff(90,plain,
% 47.80/47.96      (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[89, 82])).
% 47.80/47.96  tff(91,plain,
% 47.80/47.96      (![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))),
% 47.80/47.96      inference(modus_ponens,[status(thm)],[90, 80])).
% 47.80/47.96  tff(92,plain,
% 47.80/47.96      (((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(countrybcivilorganization, townc)) | (~accept_leader(countrybcivilorganization, countryahumanitarianorganization)))))) <=> ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | (~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(countrybcivilorganization, townc)) | (~accept_leader(countrybcivilorganization, countryahumanitarianorganization)))))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(93,plain,
% 47.80/47.97      (((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_leader(countrybcivilorganization, countryahumanitarianorganization)) | (~accept_city(countrybcivilorganization, townc))))) <=> ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(countrybcivilorganization, townc)) | (~accept_leader(countrybcivilorganization, countryahumanitarianorganization)))))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(94,plain,
% 47.80/47.97      (((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_leader(countrybcivilorganization, countryahumanitarianorganization)) | (~accept_city(countrybcivilorganization, townc)))))) <=> ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(countrybcivilorganization, townc)) | (~accept_leader(countrybcivilorganization, countryahumanitarianorganization))))))),
% 47.80/47.97      inference(monotonicity,[status(thm)],[93])).
% 47.80/47.97  tff(95,plain,
% 47.80/47.97      (((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_leader(countrybcivilorganization, countryahumanitarianorganization)) | (~accept_city(countrybcivilorganization, townc)))))) <=> ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | (~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(countrybcivilorganization, townc)) | (~accept_leader(countrybcivilorganization, countryahumanitarianorganization)))))),
% 47.80/47.97      inference(transitivity,[status(thm)],[94, 92])).
% 47.80/47.97  tff(96,plain,
% 47.80/47.97      ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_leader(countrybcivilorganization, countryahumanitarianorganization)) | (~accept_city(countrybcivilorganization, townc)))))),
% 47.80/47.97      inference(quant_inst,[status(thm)],[])).
% 47.80/47.97  tff(97,plain,
% 47.80/47.97      ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | (~the_agent_in_all_proposed_teams(countrybcivilorganization, countryahumanitarianorganization, townc)) | (~((~accept_city(countrybcivilorganization, townc)) | (~accept_leader(countrybcivilorganization, countryahumanitarianorganization))))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[96, 95])).
% 47.80/47.97  tff(98,plain,
% 47.80/47.97      (~((~accept_city(countrybcivilorganization, townc)) | (~accept_leader(countrybcivilorganization, countryahumanitarianorganization)))),
% 47.80/47.97      inference(unit_resolution,[status(thm)],[97, 91, 78])).
% 47.80/47.97  tff(99,plain,
% 47.80/47.97      (((~accept_city(countrybcivilorganization, townc)) | (~accept_leader(countrybcivilorganization, countryahumanitarianorganization))) | accept_city(countrybcivilorganization, townc)),
% 47.80/47.97      inference(tautology,[status(thm)],[])).
% 47.80/47.97  tff(100,plain,
% 47.80/47.97      (accept_city(countrybcivilorganization, townc)),
% 47.80/47.97      inference(unit_resolution,[status(thm)],[99, 98])).
% 47.80/47.97  tff(101,plain,
% 47.80/47.97      ((((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5))) <=> accept_city(countrybcivilorganization, townc)) | (~((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5)))) | (~accept_city(countrybcivilorganization, townc))),
% 47.80/47.97      inference(tautology,[status(thm)],[])).
% 47.80/47.97  tff(102,plain,
% 47.80/47.97      ((((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5))) <=> accept_city(countrybcivilorganization, townc)) | (~((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5))))),
% 47.80/47.97      inference(unit_resolution,[status(thm)],[101, 100])).
% 47.80/47.97  tff(103,plain,
% 47.80/47.97      (~((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5)))),
% 47.80/47.97      inference(unit_resolution,[status(thm)],[102, 75])).
% 47.80/47.97  tff(104,plain,
% 47.80/47.97      (((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5))) | accept_population(countrybcivilorganization, muslim, n65)),
% 47.80/47.97      inference(tautology,[status(thm)],[])).
% 47.80/47.97  tff(105,plain,
% 47.80/47.97      (accept_population(countrybcivilorganization, muslim, n65)),
% 47.80/47.97      inference(unit_resolution,[status(thm)],[104, 103])).
% 47.80/47.97  tff(106,plain,
% 47.80/47.97      (^[A: $i, N: $i, M: $i, P: $i] : refl((accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N))) <=> (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N))))),
% 47.80/47.97      inference(bind,[status(th)],[])).
% 47.80/47.97  tff(107,plain,
% 47.80/47.97      (![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N))) <=> ![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))),
% 47.80/47.97      inference(quant_intro,[status(thm)],[106])).
% 47.80/47.97  tff(108,plain,
% 47.80/47.97      (^[A: $i, N: $i, M: $i, P: $i] : trans(monotonicity(trans(monotonicity(rewrite((accept_population(A, P, N) & less(M, N)) <=> (~((~accept_population(A, P, N)) | (~less(M, N))))), ((~(accept_population(A, P, N) & less(M, N))) <=> (~(~((~accept_population(A, P, N)) | (~less(M, N))))))), rewrite((~(~((~accept_population(A, P, N)) | (~less(M, N))))) <=> ((~accept_population(A, P, N)) | (~less(M, N)))), ((~(accept_population(A, P, N) & less(M, N))) <=> ((~accept_population(A, P, N)) | (~less(M, N))))), (((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M)) <=> (((~accept_population(A, P, N)) | (~less(M, N))) | accept_population(A, P, M)))), rewrite((((~accept_population(A, P, N)) | (~less(M, N))) | accept_population(A, P, M)) <=> (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))), (((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M)) <=> (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))))),
% 47.80/47.97      inference(bind,[status(th)],[])).
% 47.80/47.97  tff(109,plain,
% 47.80/47.97      (![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M)) <=> ![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))),
% 47.80/47.97      inference(quant_intro,[status(thm)],[108])).
% 47.80/47.97  tff(110,plain,
% 47.80/47.97      (![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M)) <=> ![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(111,plain,
% 47.80/47.97      (^[A: $i, N: $i, M: $i, P: $i] : rewrite(((accept_population(A, P, N) & less(M, N)) => accept_population(A, P, M)) <=> ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M)))),
% 47.80/47.97      inference(bind,[status(th)],[])).
% 47.80/47.97  tff(112,plain,
% 47.80/47.97      (![A: $i, N: $i, M: $i, P: $i] : ((accept_population(A, P, N) & less(M, N)) => accept_population(A, P, M)) <=> ![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M))),
% 47.80/47.97      inference(quant_intro,[status(thm)],[111])).
% 47.80/47.97  tff(113,axiom,(![A: $i, N: $i, M: $i, P: $i] : ((accept_population(A, P, N) & less(M, N)) => accept_population(A, P, M))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a1_3')).
% 47.80/47.97  tff(114,plain,
% 47.80/47.97      (![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[113, 112])).
% 47.80/47.97  tff(115,plain,
% 47.80/47.97      (![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[114, 110])).
% 47.80/47.97  tff(116,plain,(
% 47.80/47.97      ![A: $i, N: $i, M: $i, P: $i] : ((~(accept_population(A, P, N) & less(M, N))) | accept_population(A, P, M))),
% 47.80/47.97      inference(skolemize,[status(sab)],[115])).
% 47.80/47.97  tff(117,plain,
% 47.80/47.97      (![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[116, 109])).
% 47.80/47.97  tff(118,plain,
% 47.80/47.97      (![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[117, 107])).
% 47.80/47.97  tff(119,plain,
% 47.80/47.97      (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | ((~accept_population(countrybcivilorganization, muslim, n65)) | accept_population(countrybcivilorganization, muslim, n8) | (~less(n8, n65)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, muslim, n65)) | accept_population(countrybcivilorganization, muslim, n8) | (~less(n8, n65)))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(120,plain,
% 47.80/47.97      ((accept_population(countrybcivilorganization, muslim, n8) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~less(n8, n65))) <=> ((~accept_population(countrybcivilorganization, muslim, n65)) | accept_population(countrybcivilorganization, muslim, n8) | (~less(n8, n65)))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(121,plain,
% 47.80/47.97      (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, muslim, n8) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~less(n8, n65)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | ((~accept_population(countrybcivilorganization, muslim, n65)) | accept_population(countrybcivilorganization, muslim, n8) | (~less(n8, n65))))),
% 47.80/47.97      inference(monotonicity,[status(thm)],[120])).
% 47.80/47.97  tff(122,plain,
% 47.80/47.97      (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, muslim, n8) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~less(n8, n65)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, muslim, n65)) | accept_population(countrybcivilorganization, muslim, n8) | (~less(n8, n65)))),
% 47.80/47.97      inference(transitivity,[status(thm)],[121, 119])).
% 47.80/47.97  tff(123,plain,
% 47.80/47.97      ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, muslim, n8) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~less(n8, n65)))),
% 47.80/47.97      inference(quant_inst,[status(thm)],[])).
% 47.80/47.97  tff(124,plain,
% 47.80/47.97      ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, muslim, n65)) | accept_population(countrybcivilorganization, muslim, n8) | (~less(n8, n65))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[123, 122])).
% 47.80/47.97  tff(125,plain,
% 47.80/47.97      ($false),
% 47.80/47.97      inference(unit_resolution,[status(thm)],[124, 118, 105, 60, 59])).
% 47.80/47.97  tff(126,plain,(accept_population(countrybcivilorganization, muslim, n8)), inference(lemma,lemma(discharge,[]))).
% 47.80/47.97  tff(127,assumption,(~less(n2, n5)), introduced(assumption)).
% 47.80/47.97  tff(128,assumption,(~rdn_positive_less(rdnn(n3), rdnn(n5))), introduced(assumption)).
% 47.80/47.97  tff(129,plain,
% 47.80/47.97      (^[X: $i, Y: $i, Z: $i] : refl((rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z)))) <=> (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z)))))),
% 47.80/47.97      inference(bind,[status(th)],[])).
% 47.80/47.97  tff(130,plain,
% 47.80/47.97      (![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z)))) <=> ![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))),
% 47.80/47.97      inference(quant_intro,[status(thm)],[129])).
% 47.80/47.97  tff(131,plain,
% 47.80/47.97      (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((rdn_positive_less(rdnn(X), rdnn(Y)) & rdn_positive_less(rdnn(Y), rdnn(Z))) <=> (~((~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z)))))), ((~(rdn_positive_less(rdnn(X), rdnn(Y)) & rdn_positive_less(rdnn(Y), rdnn(Z)))) <=> (~(~((~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z)))))))), rewrite((~(~((~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z)))))) <=> ((~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))), ((~(rdn_positive_less(rdnn(X), rdnn(Y)) & rdn_positive_less(rdnn(Y), rdnn(Z)))) <=> ((~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z)))))), (((~(rdn_positive_less(rdnn(X), rdnn(Y)) & rdn_positive_less(rdnn(Y), rdnn(Z)))) | rdn_positive_less(rdnn(X), rdnn(Z))) <=> (((~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z)))) | rdn_positive_less(rdnn(X), rdnn(Z))))), rewrite((((~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z)))) | rdn_positive_less(rdnn(X), rdnn(Z))) <=> (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))), (((~(rdn_positive_less(rdnn(X), rdnn(Y)) & rdn_positive_less(rdnn(Y), rdnn(Z)))) | rdn_positive_less(rdnn(X), rdnn(Z))) <=> (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))))),
% 47.80/47.97      inference(bind,[status(th)],[])).
% 47.80/47.97  tff(132,plain,
% 47.80/47.97      (![X: $i, Y: $i, Z: $i] : ((~(rdn_positive_less(rdnn(X), rdnn(Y)) & rdn_positive_less(rdnn(Y), rdnn(Z)))) | rdn_positive_less(rdnn(X), rdnn(Z))) <=> ![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))),
% 47.80/47.97      inference(quant_intro,[status(thm)],[131])).
% 47.80/47.97  tff(133,plain,
% 47.80/47.97      (![X: $i, Y: $i, Z: $i] : ((~(rdn_positive_less(rdnn(X), rdnn(Y)) & rdn_positive_less(rdnn(Y), rdnn(Z)))) | rdn_positive_less(rdnn(X), rdnn(Z))) <=> ![X: $i, Y: $i, Z: $i] : ((~(rdn_positive_less(rdnn(X), rdnn(Y)) & rdn_positive_less(rdnn(Y), rdnn(Z)))) | rdn_positive_less(rdnn(X), rdnn(Z)))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(134,plain,
% 47.80/47.97      (^[X: $i, Y: $i, Z: $i] : rewrite(((rdn_positive_less(rdnn(X), rdnn(Y)) & rdn_positive_less(rdnn(Y), rdnn(Z))) => rdn_positive_less(rdnn(X), rdnn(Z))) <=> ((~(rdn_positive_less(rdnn(X), rdnn(Y)) & rdn_positive_less(rdnn(Y), rdnn(Z)))) | rdn_positive_less(rdnn(X), rdnn(Z))))),
% 47.80/47.97      inference(bind,[status(th)],[])).
% 47.80/47.97  tff(135,plain,
% 47.80/47.97      (![X: $i, Y: $i, Z: $i] : ((rdn_positive_less(rdnn(X), rdnn(Y)) & rdn_positive_less(rdnn(Y), rdnn(Z))) => rdn_positive_less(rdnn(X), rdnn(Z))) <=> ![X: $i, Y: $i, Z: $i] : ((~(rdn_positive_less(rdnn(X), rdnn(Y)) & rdn_positive_less(rdnn(Y), rdnn(Z)))) | rdn_positive_less(rdnn(X), rdnn(Z)))),
% 47.80/47.97      inference(quant_intro,[status(thm)],[134])).
% 47.80/47.97  tff(136,axiom,(![X: $i, Y: $i, Z: $i] : ((rdn_positive_less(rdnn(X), rdnn(Y)) & rdn_positive_less(rdnn(Y), rdnn(Z))) => rdn_positive_less(rdnn(X), rdnn(Z)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_positive_less_transitivity')).
% 47.80/47.97  tff(137,plain,
% 47.80/47.97      (![X: $i, Y: $i, Z: $i] : ((~(rdn_positive_less(rdnn(X), rdnn(Y)) & rdn_positive_less(rdnn(Y), rdnn(Z)))) | rdn_positive_less(rdnn(X), rdnn(Z)))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[136, 135])).
% 47.80/47.97  tff(138,plain,
% 47.80/47.97      (![X: $i, Y: $i, Z: $i] : ((~(rdn_positive_less(rdnn(X), rdnn(Y)) & rdn_positive_less(rdnn(Y), rdnn(Z)))) | rdn_positive_less(rdnn(X), rdnn(Z)))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[137, 133])).
% 47.80/47.97  tff(139,plain,(
% 47.80/47.97      ![X: $i, Y: $i, Z: $i] : ((~(rdn_positive_less(rdnn(X), rdnn(Y)) & rdn_positive_less(rdnn(Y), rdnn(Z)))) | rdn_positive_less(rdnn(X), rdnn(Z)))),
% 47.80/47.97      inference(skolemize,[status(sab)],[138])).
% 47.80/47.97  tff(140,plain,
% 47.80/47.97      (![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[139, 132])).
% 47.80/47.97  tff(141,plain,
% 47.80/47.97      (![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[140, 130])).
% 47.80/47.97  tff(142,plain,
% 47.80/47.97      (rdn_positive_less(rdnn(n4), rdnn(n5)) <=> rdn_positive_less(rdnn(n4), rdnn(n5))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(143,axiom,(rdn_positive_less(rdnn(n4), rdnn(n5))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_positive_less45')).
% 47.80/47.97  tff(144,plain,
% 47.80/47.97      (rdn_positive_less(rdnn(n4), rdnn(n5))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[143, 142])).
% 47.80/47.97  tff(145,plain,
% 47.80/47.97      (rdn_positive_less(rdnn(n3), rdnn(n4)) <=> rdn_positive_less(rdnn(n3), rdnn(n4))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(146,axiom,(rdn_positive_less(rdnn(n3), rdnn(n4))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_positive_less34')).
% 47.80/47.97  tff(147,plain,
% 47.80/47.97      (rdn_positive_less(rdnn(n3), rdnn(n4))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[146, 145])).
% 47.80/47.97  tff(148,plain,
% 47.80/47.97      (((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | ((~rdn_positive_less(rdnn(n3), rdnn(n4))) | rdn_positive_less(rdnn(n3), rdnn(n5)) | (~rdn_positive_less(rdnn(n4), rdnn(n5))))) <=> ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (~rdn_positive_less(rdnn(n3), rdnn(n4))) | rdn_positive_less(rdnn(n3), rdnn(n5)) | (~rdn_positive_less(rdnn(n4), rdnn(n5))))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(149,plain,
% 47.80/47.97      ((rdn_positive_less(rdnn(n3), rdnn(n5)) | (~rdn_positive_less(rdnn(n3), rdnn(n4))) | (~rdn_positive_less(rdnn(n4), rdnn(n5)))) <=> ((~rdn_positive_less(rdnn(n3), rdnn(n4))) | rdn_positive_less(rdnn(n3), rdnn(n5)) | (~rdn_positive_less(rdnn(n4), rdnn(n5))))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(150,plain,
% 47.80/47.97      (((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (rdn_positive_less(rdnn(n3), rdnn(n5)) | (~rdn_positive_less(rdnn(n3), rdnn(n4))) | (~rdn_positive_less(rdnn(n4), rdnn(n5))))) <=> ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | ((~rdn_positive_less(rdnn(n3), rdnn(n4))) | rdn_positive_less(rdnn(n3), rdnn(n5)) | (~rdn_positive_less(rdnn(n4), rdnn(n5)))))),
% 47.80/47.97      inference(monotonicity,[status(thm)],[149])).
% 47.80/47.97  tff(151,plain,
% 47.80/47.97      (((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (rdn_positive_less(rdnn(n3), rdnn(n5)) | (~rdn_positive_less(rdnn(n3), rdnn(n4))) | (~rdn_positive_less(rdnn(n4), rdnn(n5))))) <=> ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (~rdn_positive_less(rdnn(n3), rdnn(n4))) | rdn_positive_less(rdnn(n3), rdnn(n5)) | (~rdn_positive_less(rdnn(n4), rdnn(n5))))),
% 47.80/47.97      inference(transitivity,[status(thm)],[150, 148])).
% 47.80/47.97  tff(152,plain,
% 47.80/47.97      ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (rdn_positive_less(rdnn(n3), rdnn(n5)) | (~rdn_positive_less(rdnn(n3), rdnn(n4))) | (~rdn_positive_less(rdnn(n4), rdnn(n5))))),
% 47.80/47.97      inference(quant_inst,[status(thm)],[])).
% 47.80/47.97  tff(153,plain,
% 47.80/47.97      ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (~rdn_positive_less(rdnn(n3), rdnn(n4))) | rdn_positive_less(rdnn(n3), rdnn(n5)) | (~rdn_positive_less(rdnn(n4), rdnn(n5)))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[152, 151])).
% 47.80/47.97  tff(154,plain,
% 47.80/47.97      ($false),
% 47.80/47.97      inference(unit_resolution,[status(thm)],[153, 147, 144, 141, 128])).
% 47.80/47.97  tff(155,plain,(rdn_positive_less(rdnn(n3), rdnn(n5))), inference(lemma,lemma(discharge,[]))).
% 47.80/47.97  tff(156,assumption,(~rdn_positive_less(rdnn(n2), rdnn(n5))), introduced(assumption)).
% 47.80/47.97  tff(157,plain,
% 47.80/47.97      (rdn_positive_less(rdnn(n2), rdnn(n3)) <=> rdn_positive_less(rdnn(n2), rdnn(n3))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(158,axiom,(rdn_positive_less(rdnn(n2), rdnn(n3))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_positive_less23')).
% 47.80/47.97  tff(159,plain,
% 47.80/47.97      (rdn_positive_less(rdnn(n2), rdnn(n3))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[158, 157])).
% 47.80/47.97  tff(160,plain,
% 47.80/47.97      (((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | ((~rdn_positive_less(rdnn(n2), rdnn(n3))) | rdn_positive_less(rdnn(n2), rdnn(n5)) | (~rdn_positive_less(rdnn(n3), rdnn(n5))))) <=> ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (~rdn_positive_less(rdnn(n2), rdnn(n3))) | rdn_positive_less(rdnn(n2), rdnn(n5)) | (~rdn_positive_less(rdnn(n3), rdnn(n5))))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(161,plain,
% 47.80/47.97      ((rdn_positive_less(rdnn(n2), rdnn(n5)) | (~rdn_positive_less(rdnn(n2), rdnn(n3))) | (~rdn_positive_less(rdnn(n3), rdnn(n5)))) <=> ((~rdn_positive_less(rdnn(n2), rdnn(n3))) | rdn_positive_less(rdnn(n2), rdnn(n5)) | (~rdn_positive_less(rdnn(n3), rdnn(n5))))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(162,plain,
% 47.80/47.97      (((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (rdn_positive_less(rdnn(n2), rdnn(n5)) | (~rdn_positive_less(rdnn(n2), rdnn(n3))) | (~rdn_positive_less(rdnn(n3), rdnn(n5))))) <=> ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | ((~rdn_positive_less(rdnn(n2), rdnn(n3))) | rdn_positive_less(rdnn(n2), rdnn(n5)) | (~rdn_positive_less(rdnn(n3), rdnn(n5)))))),
% 47.80/47.97      inference(monotonicity,[status(thm)],[161])).
% 47.80/47.97  tff(163,plain,
% 47.80/47.97      (((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (rdn_positive_less(rdnn(n2), rdnn(n5)) | (~rdn_positive_less(rdnn(n2), rdnn(n3))) | (~rdn_positive_less(rdnn(n3), rdnn(n5))))) <=> ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (~rdn_positive_less(rdnn(n2), rdnn(n3))) | rdn_positive_less(rdnn(n2), rdnn(n5)) | (~rdn_positive_less(rdnn(n3), rdnn(n5))))),
% 47.80/47.97      inference(transitivity,[status(thm)],[162, 160])).
% 47.80/47.97  tff(164,plain,
% 47.80/47.97      ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (rdn_positive_less(rdnn(n2), rdnn(n5)) | (~rdn_positive_less(rdnn(n2), rdnn(n3))) | (~rdn_positive_less(rdnn(n3), rdnn(n5))))),
% 47.80/47.97      inference(quant_inst,[status(thm)],[])).
% 47.80/47.97  tff(165,plain,
% 47.80/47.97      ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (~rdn_positive_less(rdnn(n2), rdnn(n3))) | rdn_positive_less(rdnn(n2), rdnn(n5)) | (~rdn_positive_less(rdnn(n3), rdnn(n5)))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[164, 163])).
% 47.80/47.97  tff(166,plain,
% 47.80/47.97      ($false),
% 47.80/47.97      inference(unit_resolution,[status(thm)],[165, 159, 141, 156, 155])).
% 47.80/47.97  tff(167,plain,(rdn_positive_less(rdnn(n2), rdnn(n5))), inference(lemma,lemma(discharge,[]))).
% 47.80/47.97  tff(168,plain,
% 47.80/47.97      (rdn_translate(n5, rdn_pos(rdnn(n5))) <=> rdn_translate(n5, rdn_pos(rdnn(n5)))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(169,axiom,(rdn_translate(n5, rdn_pos(rdnn(n5)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax','rdn5')).
% 47.80/47.97  tff(170,plain,
% 47.80/47.97      (rdn_translate(n5, rdn_pos(rdnn(n5)))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[169, 168])).
% 47.80/47.97  tff(171,plain,
% 47.80/47.97      (rdn_translate(n2, rdn_pos(rdnn(n2))) <=> rdn_translate(n2, rdn_pos(rdnn(n2)))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(172,axiom,(rdn_translate(n2, rdn_pos(rdnn(n2)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax','rdn2')).
% 47.80/47.97  tff(173,plain,
% 47.80/47.97      (rdn_translate(n2, rdn_pos(rdnn(n2)))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[172, 171])).
% 47.80/47.97  tff(174,plain,
% 47.80/47.97      (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | ((~rdn_positive_less(rdnn(n2), rdnn(n5))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | less(n2, n5) | (~rdn_translate(n2, rdn_pos(rdnn(n2)))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdnn(n2), rdnn(n5))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | less(n2, n5) | (~rdn_translate(n2, rdn_pos(rdnn(n2)))))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(175,plain,
% 47.80/47.97      ((less(n2, n5) | (~rdn_translate(n2, rdn_pos(rdnn(n2)))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | (~rdn_positive_less(rdnn(n2), rdnn(n5)))) <=> ((~rdn_positive_less(rdnn(n2), rdnn(n5))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | less(n2, n5) | (~rdn_translate(n2, rdn_pos(rdnn(n2)))))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(176,plain,
% 47.80/47.97      (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n2, n5) | (~rdn_translate(n2, rdn_pos(rdnn(n2)))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | (~rdn_positive_less(rdnn(n2), rdnn(n5))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | ((~rdn_positive_less(rdnn(n2), rdnn(n5))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | less(n2, n5) | (~rdn_translate(n2, rdn_pos(rdnn(n2))))))),
% 47.80/47.97      inference(monotonicity,[status(thm)],[175])).
% 47.80/47.97  tff(177,plain,
% 47.80/47.97      (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n2, n5) | (~rdn_translate(n2, rdn_pos(rdnn(n2)))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | (~rdn_positive_less(rdnn(n2), rdnn(n5))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdnn(n2), rdnn(n5))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | less(n2, n5) | (~rdn_translate(n2, rdn_pos(rdnn(n2)))))),
% 47.80/47.97      inference(transitivity,[status(thm)],[176, 174])).
% 47.80/47.97  tff(178,plain,
% 47.80/47.97      ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n2, n5) | (~rdn_translate(n2, rdn_pos(rdnn(n2)))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | (~rdn_positive_less(rdnn(n2), rdnn(n5))))),
% 47.80/47.97      inference(quant_inst,[status(thm)],[])).
% 47.80/47.97  tff(179,plain,
% 47.80/47.97      ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_positive_less(rdnn(n2), rdnn(n5))) | (~rdn_translate(n5, rdn_pos(rdnn(n5)))) | less(n2, n5) | (~rdn_translate(n2, rdn_pos(rdnn(n2))))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[178, 177])).
% 47.80/47.97  tff(180,plain,
% 47.80/47.97      ($false),
% 47.80/47.97      inference(unit_resolution,[status(thm)],[179, 173, 170, 45, 167, 127])).
% 47.80/47.97  tff(181,plain,(less(n2, n5)), inference(lemma,lemma(discharge,[]))).
% 47.80/47.97  tff(182,assumption,(~accept_population(countrybcivilorganization, other, n2)), introduced(assumption)).
% 47.80/47.97  tff(183,plain,
% 47.80/47.97      (((~accept_population(countrybcivilorganization, atheist, n30)) | (~accept_population(countrybcivilorganization, christian, n0)) | (~accept_population(countrybcivilorganization, muslim, n65)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n5))) | accept_population(countrybcivilorganization, other, n5)),
% 47.80/47.97      inference(tautology,[status(thm)],[])).
% 47.80/47.97  tff(184,plain,
% 47.80/47.97      (accept_population(countrybcivilorganization, other, n5)),
% 47.80/47.97      inference(unit_resolution,[status(thm)],[183, 103])).
% 47.80/47.97  tff(185,plain,
% 47.80/47.97      (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | ((~accept_population(countrybcivilorganization, other, n5)) | accept_population(countrybcivilorganization, other, n2) | (~less(n2, n5)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, other, n5)) | accept_population(countrybcivilorganization, other, n2) | (~less(n2, n5)))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(186,plain,
% 47.80/47.97      ((accept_population(countrybcivilorganization, other, n2) | (~accept_population(countrybcivilorganization, other, n5)) | (~less(n2, n5))) <=> ((~accept_population(countrybcivilorganization, other, n5)) | accept_population(countrybcivilorganization, other, n2) | (~less(n2, n5)))),
% 47.80/47.97      inference(rewrite,[status(thm)],[])).
% 47.80/47.97  tff(187,plain,
% 47.80/47.97      (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, other, n2) | (~accept_population(countrybcivilorganization, other, n5)) | (~less(n2, n5)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | ((~accept_population(countrybcivilorganization, other, n5)) | accept_population(countrybcivilorganization, other, n2) | (~less(n2, n5))))),
% 47.80/47.97      inference(monotonicity,[status(thm)],[186])).
% 47.80/47.97  tff(188,plain,
% 47.80/47.97      (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, other, n2) | (~accept_population(countrybcivilorganization, other, n5)) | (~less(n2, n5)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, other, n5)) | accept_population(countrybcivilorganization, other, n2) | (~less(n2, n5)))),
% 47.80/47.97      inference(transitivity,[status(thm)],[187, 185])).
% 47.80/47.97  tff(189,plain,
% 47.80/47.97      ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, other, n2) | (~accept_population(countrybcivilorganization, other, n5)) | (~less(n2, n5)))),
% 47.80/47.97      inference(quant_inst,[status(thm)],[])).
% 47.80/47.97  tff(190,plain,
% 47.80/47.97      ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, other, n5)) | accept_population(countrybcivilorganization, other, n2) | (~less(n2, n5))),
% 47.80/47.97      inference(modus_ponens,[status(thm)],[189, 188])).
% 47.80/47.97  tff(191,plain,
% 47.80/47.97      ($false),
% 47.80/47.97      inference(unit_resolution,[status(thm)],[190, 118, 184, 182, 181])).
% 47.80/47.97  tff(192,plain,(accept_population(countrybcivilorganization, other, n2)), inference(lemma,lemma(discharge,[]))).
% 47.80/47.97  tff(193,plain,
% 47.80/47.97      (^[A: $i] : refl((~(((~accept_population(A, atheist, n70)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n8)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n2))) <=> accept_city(A, townb))) <=> (~(((~accept_population(A, atheist, n70)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n8)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n2))) <=> accept_city(A, townb))))),
% 47.80/47.97      inference(bind,[status(th)],[])).
% 47.80/47.97  tff(194,plain,
% 47.80/47.97      (![A: $i] : (~(((~accept_population(A, atheist, n70)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n8)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n2))) <=> accept_city(A, townb))) <=> ![A: $i] : (~(((~accept_population(A, atheist, n70)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n8)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n2))) <=> accept_city(A, townb)))),
% 47.80/47.97      inference(quant_intro,[status(thm)],[193])).
% 47.80/47.97  tff(195,plain,
% 47.80/47.97      (^[A: $i] : trans(trans(monotonicity(rewrite((accept_population(A, atheist, n70) & accept_population(A, christian, n20) & accept_population(A, muslim, n8) & accept_population(A, native, n0) & accept_population(A, other, n2)) <=> (~((~accept_population(A, atheist, n70)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n8)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n2))))), (((accept_population(A, atheist, n70) & accept_population(A, christian, n20) & accept_population(A, muslim, n8) & accept_population(A, native, n0) & accept_population(A, other, n2)) <=> accept_city(A, townb)) <=> ((~((~accept_population(A, atheist, n70)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n8)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n2)))) <=> accept_city(A, townb)))), rewrite(((~((~accept_population(A, atheist, n70)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n8)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n2)))) <=> accept_city(A, townb)) <=> (~(((~accept_population(A, atheist, n70)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n8)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n2))) <=> accept_city(A, townb)))), (((accept_population(A, atheist, n70) & accept_population(A, christian, n20) & accept_population(A, muslim, n8) & accept_population(A, native, n0) & accept_population(A, other, n2)) <=> accept_city(A, townb)) <=> (~(((~accept_population(A, atheist, n70)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n8)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n2))) <=> accept_city(A, townb))))), rewrite((~(((~accept_population(A, atheist, n70)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n8)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n2))) <=> accept_city(A, townb))) <=> (~(((~accept_population(A, atheist, n70)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n8)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n2))) <=> accept_city(A, townb)))), (((accept_population(A, atheist, n70) & accept_population(A, christian, n20) & accept_population(A, muslim, n8) & accept_population(A, native, n0) & accept_population(A, other, n2)) <=> accept_city(A, townb)) <=> (~(((~accept_population(A, atheist, n70)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n8)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n2))) <=> accept_city(A, townb)))))),
% 47.80/47.98      inference(bind,[status(th)],[])).
% 47.80/47.98  tff(196,plain,
% 47.80/47.98      (![A: $i] : ((accept_population(A, atheist, n70) & accept_population(A, christian, n20) & accept_population(A, muslim, n8) & accept_population(A, native, n0) & accept_population(A, other, n2)) <=> accept_city(A, townb)) <=> ![A: $i] : (~(((~accept_population(A, atheist, n70)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n8)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n2))) <=> accept_city(A, townb)))),
% 47.80/47.98      inference(quant_intro,[status(thm)],[195])).
% 47.80/47.98  tff(197,plain,
% 47.80/47.98      (![A: $i] : ((accept_population(A, atheist, n70) & accept_population(A, christian, n20) & accept_population(A, muslim, n8) & accept_population(A, native, n0) & accept_population(A, other, n2)) <=> accept_city(A, townb)) <=> ![A: $i] : ((accept_population(A, atheist, n70) & accept_population(A, christian, n20) & accept_population(A, muslim, n8) & accept_population(A, native, n0) & accept_population(A, other, n2)) <=> accept_city(A, townb))),
% 47.80/47.98      inference(rewrite,[status(thm)],[])).
% 47.80/47.98  tff(198,plain,
% 47.80/47.98      (^[A: $i] : rewrite((((((accept_population(A, atheist, n70) & accept_population(A, christian, n20)) & accept_population(A, muslim, n8)) & accept_population(A, native, n0)) & accept_population(A, other, n2)) <=> accept_city(A, townb)) <=> ((accept_population(A, atheist, n70) & accept_population(A, christian, n20) & accept_population(A, muslim, n8) & accept_population(A, native, n0) & accept_population(A, other, n2)) <=> accept_city(A, townb)))),
% 47.80/47.98      inference(bind,[status(th)],[])).
% 47.80/47.98  tff(199,plain,
% 47.80/47.98      (![A: $i] : (((((accept_population(A, atheist, n70) & accept_population(A, christian, n20)) & accept_population(A, muslim, n8)) & accept_population(A, native, n0)) & accept_population(A, other, n2)) <=> accept_city(A, townb)) <=> ![A: $i] : ((accept_population(A, atheist, n70) & accept_population(A, christian, n20) & accept_population(A, muslim, n8) & accept_population(A, native, n0) & accept_population(A, other, n2)) <=> accept_city(A, townb))),
% 47.80/47.98      inference(quant_intro,[status(thm)],[198])).
% 47.80/47.98  tff(200,axiom,(![A: $i] : (((((accept_population(A, atheist, n70) & accept_population(A, christian, n20)) & accept_population(A, muslim, n8)) & accept_population(A, native, n0)) & accept_population(A, other, n2)) <=> accept_city(A, townb))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a2_11')).
% 47.80/47.98  tff(201,plain,
% 47.80/47.98      (![A: $i] : ((accept_population(A, atheist, n70) & accept_population(A, christian, n20) & accept_population(A, muslim, n8) & accept_population(A, native, n0) & accept_population(A, other, n2)) <=> accept_city(A, townb))),
% 47.80/47.98      inference(modus_ponens,[status(thm)],[200, 199])).
% 47.80/47.98  tff(202,plain,
% 47.80/47.98      (![A: $i] : ((accept_population(A, atheist, n70) & accept_population(A, christian, n20) & accept_population(A, muslim, n8) & accept_population(A, native, n0) & accept_population(A, other, n2)) <=> accept_city(A, townb))),
% 47.80/47.98      inference(modus_ponens,[status(thm)],[201, 197])).
% 47.80/47.98  tff(203,plain,(
% 47.80/47.98      ![A: $i] : ((accept_population(A, atheist, n70) & accept_population(A, christian, n20) & accept_population(A, muslim, n8) & accept_population(A, native, n0) & accept_population(A, other, n2)) <=> accept_city(A, townb))),
% 47.80/47.98      inference(skolemize,[status(sab)],[202])).
% 47.80/47.98  tff(204,plain,
% 47.80/47.98      (![A: $i] : (~(((~accept_population(A, atheist, n70)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n8)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n2))) <=> accept_city(A, townb)))),
% 47.80/47.98      inference(modus_ponens,[status(thm)],[203, 196])).
% 47.80/47.98  tff(205,plain,
% 47.80/47.98      (![A: $i] : (~(((~accept_population(A, atheist, n70)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n8)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n2))) <=> accept_city(A, townb)))),
% 47.80/47.98      inference(modus_ponens,[status(thm)],[204, 194])).
% 47.80/47.98  tff(206,plain,
% 47.80/47.98      ((~![A: $i] : (~(((~accept_population(A, atheist, n70)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n8)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n2))) <=> accept_city(A, townb)))) | (~(((~accept_population(countrybcivilorganization, atheist, n70)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n8)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n2))) <=> accept_city(countrybcivilorganization, townb)))),
% 47.80/47.98      inference(quant_inst,[status(thm)],[])).
% 47.80/47.98  tff(207,plain,
% 47.80/47.98      (~(((~accept_population(countrybcivilorganization, atheist, n70)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n8)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n2))) <=> accept_city(countrybcivilorganization, townb))),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[206, 205])).
% 47.80/47.98  tff(208,plain,
% 47.80/47.98      (^[A: $i, C: $i, N: $i, L: $i] : refl((~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N))) <=> (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N))))),
% 47.80/47.98      inference(bind,[status(th)],[])).
% 47.80/47.98  tff(209,plain,
% 47.80/47.98      (![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N))) <=> ![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))),
% 47.80/47.98      inference(quant_intro,[status(thm)],[208])).
% 47.80/47.98  tff(210,plain,
% 47.80/47.98      (^[A: $i, C: $i, N: $i, L: $i] : trans(trans(monotonicity(rewrite((accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)) <=> (~((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))))), ((accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> (accept_team(A, L, C, N) <=> (~((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))))))), rewrite((accept_team(A, L, C, N) <=> (~((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))))) <=> (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))), ((accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N))))), rewrite((~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N))) <=> (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))), ((accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))))),
% 47.80/47.98      inference(bind,[status(th)],[])).
% 47.80/47.98  tff(211,plain,
% 47.80/47.98      (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> ![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))),
% 47.80/47.98      inference(quant_intro,[status(thm)],[210])).
% 47.80/47.98  tff(212,plain,
% 47.80/47.98      (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))) <=> ![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),
% 47.80/47.98      inference(rewrite,[status(thm)],[])).
% 47.80/47.98  tff(213,plain,
% 47.80/47.98      (^[A: $i, C: $i, N: $i, L: $i] : rewrite((accept_team(A, L, C, N) <=> ((accept_city(A, C) & accept_leader(A, L)) & accept_number(A, N))) <=> (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N))))),
% 47.80/47.98      inference(bind,[status(th)],[])).
% 47.80/47.98  tff(214,plain,
% 47.80/47.98      (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> ((accept_city(A, C) & accept_leader(A, L)) & accept_number(A, N))) <=> ![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),
% 47.80/47.98      inference(quant_intro,[status(thm)],[213])).
% 47.80/47.98  tff(215,axiom,(![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> ((accept_city(A, C) & accept_leader(A, L)) & accept_number(A, N)))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a1_1')).
% 47.80/47.98  tff(216,plain,
% 47.80/47.98      (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),
% 47.80/47.98      inference(modus_ponens,[status(thm)],[215, 214])).
% 47.80/47.98  tff(217,plain,
% 47.80/47.98      (![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),
% 47.80/47.98      inference(modus_ponens,[status(thm)],[216, 212])).
% 47.80/47.98  tff(218,plain,(
% 47.80/47.98      ![A: $i, C: $i, N: $i, L: $i] : (accept_team(A, L, C, N) <=> (accept_city(A, C) & accept_leader(A, L) & accept_number(A, N)))),
% 47.80/47.98      inference(skolemize,[status(sab)],[217])).
% 47.80/47.98  tff(219,plain,
% 47.80/47.98      (![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))),
% 47.80/47.98      inference(modus_ponens,[status(thm)],[218, 211])).
% 47.80/47.98  tff(220,plain,
% 47.80/47.98      (![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))),
% 47.80/47.98      inference(modus_ponens,[status(thm)],[219, 209])).
% 47.80/47.98  tff(221,plain,
% 47.80/47.98      ((~![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))) | (~(((~accept_city(countrybcivilorganization, townb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n3))) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, townb, n3)))),
% 47.80/47.98      inference(quant_inst,[status(thm)],[])).
% 47.80/47.98  tff(222,plain,
% 47.80/47.98      (~(((~accept_city(countrybcivilorganization, townb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n3))) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, townb, n3))),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[221, 220])).
% 47.80/47.98  tff(223,plain,
% 47.80/47.98      ((~accept_team(countrybcivilorganization, countrybhumanitarianorganization, townb, n3)) <=> (~accept_team(countrybcivilorganization, countrybhumanitarianorganization, townb, n3))),
% 47.80/47.98      inference(rewrite,[status(thm)],[])).
% 47.80/47.98  tff(224,axiom,(~accept_team(countrybcivilorganization, countrybhumanitarianorganization, townb, n3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','query_7')).
% 47.80/47.98  tff(225,plain,
% 47.80/47.98      (~accept_team(countrybcivilorganization, countrybhumanitarianorganization, townb, n3)),
% 47.80/47.98      inference(modus_ponens,[status(thm)],[224, 223])).
% 47.80/47.98  tff(226,plain,
% 47.80/47.98      ((((~accept_city(countrybcivilorganization, townb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n3))) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, townb, n3)) | ((~accept_city(countrybcivilorganization, townb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n3))) | accept_team(countrybcivilorganization, countrybhumanitarianorganization, townb, n3)),
% 47.80/47.98      inference(tautology,[status(thm)],[])).
% 47.80/47.98  tff(227,plain,
% 47.80/47.98      ((((~accept_city(countrybcivilorganization, townb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n3))) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, townb, n3)) | ((~accept_city(countrybcivilorganization, townb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n3)))),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[226, 225])).
% 47.80/47.98  tff(228,plain,
% 47.80/47.98      ((~accept_city(countrybcivilorganization, townb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n3))),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[227, 222])).
% 47.80/47.98  tff(229,plain,
% 47.80/47.98      ((~![A: $i, C: $i, N: $i, L: $i] : (~(((~accept_city(A, C)) | (~accept_leader(A, L)) | (~accept_number(A, N))) <=> accept_team(A, L, C, N)))) | (~(((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4)))),
% 47.80/47.98      inference(quant_inst,[status(thm)],[])).
% 47.80/47.98  tff(230,plain,
% 47.80/47.98      (~(((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4))),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[229, 220])).
% 47.80/47.98  tff(231,plain,
% 47.80/47.98      (accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4)),
% 47.80/47.98      inference(rewrite,[status(thm)],[])).
% 47.80/47.98  tff(232,axiom,(accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4)), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax','event_18')).
% 47.80/47.98  tff(233,plain,
% 47.80/47.98      (accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4)),
% 47.80/47.98      inference(modus_ponens,[status(thm)],[232, 231])).
% 47.80/47.98  tff(234,plain,
% 47.80/47.98      ((((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4)) | (~((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4)))) | (~accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4))),
% 47.80/47.98      inference(tautology,[status(thm)],[])).
% 47.80/47.98  tff(235,plain,
% 47.80/47.98      ((((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) <=> accept_team(countrybcivilorganization, countrybhumanitarianorganization, cityb, n4)) | (~((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))))),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[234, 233])).
% 47.80/47.98  tff(236,plain,
% 47.80/47.98      (~((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4)))),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[235, 230])).
% 47.80/47.98  tff(237,plain,
% 47.80/47.98      (((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) | accept_leader(countrybcivilorganization, countrybhumanitarianorganization)),
% 47.80/47.98      inference(tautology,[status(thm)],[])).
% 47.80/47.98  tff(238,plain,
% 47.80/47.98      (accept_leader(countrybcivilorganization, countrybhumanitarianorganization)),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[237, 236])).
% 47.80/47.98  tff(239,plain,
% 47.80/47.98      (accept_number(countrybcivilorganization, n3) <=> accept_number(countrybcivilorganization, n3)),
% 47.80/47.98      inference(rewrite,[status(thm)],[])).
% 47.80/47.98  tff(240,axiom,(accept_number(countrybcivilorganization, n3)), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax','event_204')).
% 47.80/47.98  tff(241,plain,
% 47.80/47.98      (accept_number(countrybcivilorganization, n3)),
% 47.80/47.98      inference(modus_ponens,[status(thm)],[240, 239])).
% 47.80/47.98  tff(242,plain,
% 47.80/47.98      ((~((~accept_city(countrybcivilorganization, townb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n3)))) | (~accept_city(countrybcivilorganization, townb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n3))),
% 47.80/47.98      inference(tautology,[status(thm)],[])).
% 47.80/47.98  tff(243,plain,
% 47.80/47.98      ((~((~accept_city(countrybcivilorganization, townb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n3)))) | (~accept_city(countrybcivilorganization, townb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization))),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[242, 241])).
% 47.80/47.98  tff(244,plain,
% 47.80/47.98      (~accept_city(countrybcivilorganization, townb)),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[243, 238, 228])).
% 47.80/47.98  tff(245,plain,
% 47.80/47.98      ((((~accept_population(countrybcivilorganization, atheist, n70)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n8)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n2))) <=> accept_city(countrybcivilorganization, townb)) | ((~accept_population(countrybcivilorganization, atheist, n70)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n8)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n2))) | accept_city(countrybcivilorganization, townb)),
% 47.80/47.98      inference(tautology,[status(thm)],[])).
% 47.80/47.98  tff(246,plain,
% 47.80/47.98      ((((~accept_population(countrybcivilorganization, atheist, n70)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n8)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n2))) <=> accept_city(countrybcivilorganization, townb)) | ((~accept_population(countrybcivilorganization, atheist, n70)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n8)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n2)))),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[245, 244])).
% 47.80/47.98  tff(247,plain,
% 47.80/47.98      ((~accept_population(countrybcivilorganization, atheist, n70)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n8)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n2))),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[246, 207])).
% 47.80/47.98  tff(248,plain,
% 47.80/47.98      (^[A: $i] : refl((~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb))) <=> (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb))))),
% 47.80/47.98      inference(bind,[status(th)],[])).
% 47.80/47.98  tff(249,plain,
% 47.80/47.98      (![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb))) <=> ![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))),
% 47.80/47.98      inference(quant_intro,[status(thm)],[248])).
% 47.80/47.98  tff(250,plain,
% 47.80/47.98      (^[A: $i] : trans(trans(monotonicity(rewrite((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> (~((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))))), (((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> ((~((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1)))) <=> accept_city(A, cityb)))), rewrite(((~((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1)))) <=> accept_city(A, cityb)) <=> (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))), (((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb))))), rewrite((~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb))) <=> (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))), (((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))))),
% 47.80/47.98      inference(bind,[status(th)],[])).
% 47.80/47.98  tff(251,plain,
% 47.80/47.98      (![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> ![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))),
% 47.80/47.98      inference(quant_intro,[status(thm)],[250])).
% 47.80/47.98  tff(252,plain,
% 47.80/47.98      (![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> ![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb))),
% 47.80/47.98      inference(rewrite,[status(thm)],[])).
% 47.80/47.98  tff(253,plain,
% 47.80/47.98      (^[A: $i] : rewrite((((((accept_population(A, atheist, n78) & accept_population(A, christian, n20)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb)))),
% 47.80/47.98      inference(bind,[status(th)],[])).
% 47.80/47.98  tff(254,plain,
% 47.80/47.98      (![A: $i] : (((((accept_population(A, atheist, n78) & accept_population(A, christian, n20)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n1)) <=> accept_city(A, cityb)) <=> ![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb))),
% 47.80/47.98      inference(quant_intro,[status(thm)],[253])).
% 47.80/47.98  tff(255,axiom,(![A: $i] : (((((accept_population(A, atheist, n78) & accept_population(A, christian, n20)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n1)) <=> accept_city(A, cityb))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a2_12')).
% 47.80/47.98  tff(256,plain,
% 47.80/47.98      (![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb))),
% 47.80/47.98      inference(modus_ponens,[status(thm)],[255, 254])).
% 47.80/47.98  tff(257,plain,
% 47.80/47.98      (![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb))),
% 47.80/47.98      inference(modus_ponens,[status(thm)],[256, 252])).
% 47.80/47.98  tff(258,plain,(
% 47.80/47.98      ![A: $i] : ((accept_population(A, atheist, n78) & accept_population(A, christian, n20) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n1)) <=> accept_city(A, cityb))),
% 47.80/47.98      inference(skolemize,[status(sab)],[257])).
% 47.80/47.98  tff(259,plain,
% 47.80/47.98      (![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))),
% 47.80/47.98      inference(modus_ponens,[status(thm)],[258, 251])).
% 47.80/47.98  tff(260,plain,
% 47.80/47.98      (![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))),
% 47.80/47.98      inference(modus_ponens,[status(thm)],[259, 249])).
% 47.80/47.98  tff(261,plain,
% 47.80/47.98      ((~![A: $i] : (~(((~accept_population(A, atheist, n78)) | (~accept_population(A, christian, n20)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n1))) <=> accept_city(A, cityb)))) | (~(((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1))) <=> accept_city(countrybcivilorganization, cityb)))),
% 47.80/47.98      inference(quant_inst,[status(thm)],[])).
% 47.80/47.98  tff(262,plain,
% 47.80/47.98      (~(((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1))) <=> accept_city(countrybcivilorganization, cityb))),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[261, 260])).
% 47.80/47.98  tff(263,plain,
% 47.80/47.98      (((~accept_city(countrybcivilorganization, cityb)) | (~accept_leader(countrybcivilorganization, countrybhumanitarianorganization)) | (~accept_number(countrybcivilorganization, n4))) | accept_city(countrybcivilorganization, cityb)),
% 47.80/47.98      inference(tautology,[status(thm)],[])).
% 47.80/47.98  tff(264,plain,
% 47.80/47.98      (accept_city(countrybcivilorganization, cityb)),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[263, 236])).
% 47.80/47.98  tff(265,plain,
% 47.80/47.98      ((((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1))) <=> accept_city(countrybcivilorganization, cityb)) | (~((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1)))) | (~accept_city(countrybcivilorganization, cityb))),
% 47.80/47.98      inference(tautology,[status(thm)],[])).
% 47.80/47.98  tff(266,plain,
% 47.80/47.98      ((((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1))) <=> accept_city(countrybcivilorganization, cityb)) | (~((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1))))),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[265, 264])).
% 47.80/47.98  tff(267,plain,
% 47.80/47.98      (~((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1)))),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[266, 262])).
% 47.80/47.98  tff(268,plain,
% 47.80/47.98      (((~accept_population(countrybcivilorganization, atheist, n78)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n1))) | accept_population(countrybcivilorganization, christian, n20)),
% 47.80/47.98      inference(tautology,[status(thm)],[])).
% 47.80/47.98  tff(269,plain,
% 47.80/47.98      (accept_population(countrybcivilorganization, christian, n20)),
% 47.80/47.98      inference(unit_resolution,[status(thm)],[268, 267])).
% 47.80/47.98  tff(270,plain,
% 47.80/47.98      (^[A: $i] : refl((~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna))) <=> (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna))))),
% 47.80/47.98      inference(bind,[status(th)],[])).
% 47.80/47.98  tff(271,plain,
% 47.80/47.98      (![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna))) <=> ![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))),
% 47.80/47.98      inference(quant_intro,[status(thm)],[270])).
% 47.80/47.98  tff(272,plain,
% 47.80/47.98      (^[A: $i] : trans(trans(monotonicity(rewrite((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> (~((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))))), (((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> ((~((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0)))) <=> accept_city(A, towna)))), rewrite(((~((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0)))) <=> accept_city(A, towna)) <=> (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))), (((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna))))), rewrite((~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna))) <=> (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))), (((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))))),
% 47.80/47.99      inference(bind,[status(th)],[])).
% 47.80/47.99  tff(273,plain,
% 47.80/47.99      (![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> ![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))),
% 47.80/47.99      inference(quant_intro,[status(thm)],[272])).
% 47.80/47.99  tff(274,plain,
% 47.80/47.99      (![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> ![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(275,plain,
% 47.80/47.99      (^[A: $i] : rewrite((((((accept_population(A, atheist, n75) & accept_population(A, christian, n24)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna)))),
% 47.80/47.99      inference(bind,[status(th)],[])).
% 47.80/47.99  tff(276,plain,
% 47.80/47.99      (![A: $i] : (((((accept_population(A, atheist, n75) & accept_population(A, christian, n24)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n0)) <=> accept_city(A, towna)) <=> ![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna))),
% 47.80/47.99      inference(quant_intro,[status(thm)],[275])).
% 47.80/47.99  tff(277,axiom,(![A: $i] : (((((accept_population(A, atheist, n75) & accept_population(A, christian, n24)) & accept_population(A, muslim, n1)) & accept_population(A, native, n0)) & accept_population(A, other, n0)) <=> accept_city(A, towna))), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax','a2_9')).
% 47.80/47.99  tff(278,plain,
% 47.80/47.99      (![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[277, 276])).
% 47.80/47.99  tff(279,plain,
% 47.80/47.99      (![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[278, 274])).
% 47.80/47.99  tff(280,plain,(
% 47.80/47.99      ![A: $i] : ((accept_population(A, atheist, n75) & accept_population(A, christian, n24) & accept_population(A, muslim, n1) & accept_population(A, native, n0) & accept_population(A, other, n0)) <=> accept_city(A, towna))),
% 47.80/47.99      inference(skolemize,[status(sab)],[279])).
% 47.80/47.99  tff(281,plain,
% 47.80/47.99      (![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[280, 273])).
% 47.80/47.99  tff(282,plain,
% 47.80/47.99      (![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[281, 271])).
% 47.80/47.99  tff(283,plain,
% 47.80/47.99      ((~![A: $i] : (~(((~accept_population(A, atheist, n75)) | (~accept_population(A, christian, n24)) | (~accept_population(A, muslim, n1)) | (~accept_population(A, native, n0)) | (~accept_population(A, other, n0))) <=> accept_city(A, towna)))) | (~(((~accept_population(countrybcivilorganization, atheist, n75)) | (~accept_population(countrybcivilorganization, christian, n24)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n0))) <=> accept_city(countrybcivilorganization, towna)))),
% 47.80/47.99      inference(quant_inst,[status(thm)],[])).
% 47.80/47.99  tff(284,plain,
% 47.80/47.99      (~(((~accept_population(countrybcivilorganization, atheist, n75)) | (~accept_population(countrybcivilorganization, christian, n24)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n0))) <=> accept_city(countrybcivilorganization, towna))),
% 47.80/47.99      inference(unit_resolution,[status(thm)],[283, 282])).
% 47.80/47.99  tff(285,plain,
% 47.80/47.99      (the_agent_in_all_proposed_teams(countrybcivilorganization, countryacivilorganization, towna) <=> the_agent_in_all_proposed_teams(countrybcivilorganization, countryacivilorganization, towna)),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(286,axiom,(the_agent_in_all_proposed_teams(countrybcivilorganization, countryacivilorganization, towna)), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+1.ax','event_46')).
% 47.80/47.99  tff(287,plain,
% 47.80/47.99      (the_agent_in_all_proposed_teams(countrybcivilorganization, countryacivilorganization, towna)),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[286, 285])).
% 47.80/47.99  tff(288,plain,
% 47.80/47.99      (((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryacivilorganization, towna)) | (~((~accept_city(countrybcivilorganization, towna)) | (~accept_leader(countrybcivilorganization, countryacivilorganization)))))) <=> ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | (~the_agent_in_all_proposed_teams(countrybcivilorganization, countryacivilorganization, towna)) | (~((~accept_city(countrybcivilorganization, towna)) | (~accept_leader(countrybcivilorganization, countryacivilorganization)))))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(289,plain,
% 47.80/47.99      (((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryacivilorganization, towna)) | (~((~accept_leader(countrybcivilorganization, countryacivilorganization)) | (~accept_city(countrybcivilorganization, towna))))) <=> ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryacivilorganization, towna)) | (~((~accept_city(countrybcivilorganization, towna)) | (~accept_leader(countrybcivilorganization, countryacivilorganization)))))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(290,plain,
% 47.80/47.99      (((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryacivilorganization, towna)) | (~((~accept_leader(countrybcivilorganization, countryacivilorganization)) | (~accept_city(countrybcivilorganization, towna)))))) <=> ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryacivilorganization, towna)) | (~((~accept_city(countrybcivilorganization, towna)) | (~accept_leader(countrybcivilorganization, countryacivilorganization))))))),
% 47.80/47.99      inference(monotonicity,[status(thm)],[289])).
% 47.80/47.99  tff(291,plain,
% 47.80/47.99      (((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryacivilorganization, towna)) | (~((~accept_leader(countrybcivilorganization, countryacivilorganization)) | (~accept_city(countrybcivilorganization, towna)))))) <=> ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | (~the_agent_in_all_proposed_teams(countrybcivilorganization, countryacivilorganization, towna)) | (~((~accept_city(countrybcivilorganization, towna)) | (~accept_leader(countrybcivilorganization, countryacivilorganization)))))),
% 47.80/47.99      inference(transitivity,[status(thm)],[290, 288])).
% 47.80/47.99  tff(292,plain,
% 47.80/47.99      ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | ((~the_agent_in_all_proposed_teams(countrybcivilorganization, countryacivilorganization, towna)) | (~((~accept_leader(countrybcivilorganization, countryacivilorganization)) | (~accept_city(countrybcivilorganization, towna)))))),
% 47.80/47.99      inference(quant_inst,[status(thm)],[])).
% 47.80/47.99  tff(293,plain,
% 47.80/47.99      ((~![A: $i, L: $i, C: $i] : ((~the_agent_in_all_proposed_teams(A, L, C)) | (~((~accept_leader(A, L)) | (~accept_city(A, C)))))) | (~the_agent_in_all_proposed_teams(countrybcivilorganization, countryacivilorganization, towna)) | (~((~accept_city(countrybcivilorganization, towna)) | (~accept_leader(countrybcivilorganization, countryacivilorganization))))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[292, 291])).
% 47.80/47.99  tff(294,plain,
% 47.80/47.99      (~((~accept_city(countrybcivilorganization, towna)) | (~accept_leader(countrybcivilorganization, countryacivilorganization)))),
% 47.80/47.99      inference(unit_resolution,[status(thm)],[293, 91, 287])).
% 47.80/47.99  tff(295,plain,
% 47.80/47.99      (((~accept_city(countrybcivilorganization, towna)) | (~accept_leader(countrybcivilorganization, countryacivilorganization))) | accept_city(countrybcivilorganization, towna)),
% 47.80/47.99      inference(tautology,[status(thm)],[])).
% 47.80/47.99  tff(296,plain,
% 47.80/47.99      (accept_city(countrybcivilorganization, towna)),
% 47.80/47.99      inference(unit_resolution,[status(thm)],[295, 294])).
% 47.80/47.99  tff(297,plain,
% 47.80/47.99      ((((~accept_population(countrybcivilorganization, atheist, n75)) | (~accept_population(countrybcivilorganization, christian, n24)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n0))) <=> accept_city(countrybcivilorganization, towna)) | (~((~accept_population(countrybcivilorganization, atheist, n75)) | (~accept_population(countrybcivilorganization, christian, n24)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n0)))) | (~accept_city(countrybcivilorganization, towna))),
% 47.80/47.99      inference(tautology,[status(thm)],[])).
% 47.80/47.99  tff(298,plain,
% 47.80/47.99      ((((~accept_population(countrybcivilorganization, atheist, n75)) | (~accept_population(countrybcivilorganization, christian, n24)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n0))) <=> accept_city(countrybcivilorganization, towna)) | (~((~accept_population(countrybcivilorganization, atheist, n75)) | (~accept_population(countrybcivilorganization, christian, n24)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n0))))),
% 47.80/47.99      inference(unit_resolution,[status(thm)],[297, 296])).
% 47.80/47.99  tff(299,plain,
% 47.80/47.99      (~((~accept_population(countrybcivilorganization, atheist, n75)) | (~accept_population(countrybcivilorganization, christian, n24)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n0)))),
% 47.80/47.99      inference(unit_resolution,[status(thm)],[298, 284])).
% 47.80/47.99  tff(300,plain,
% 47.80/47.99      (((~accept_population(countrybcivilorganization, atheist, n75)) | (~accept_population(countrybcivilorganization, christian, n24)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n0))) | accept_population(countrybcivilorganization, native, n0)),
% 47.80/47.99      inference(tautology,[status(thm)],[])).
% 47.80/47.99  tff(301,plain,
% 47.80/47.99      (accept_population(countrybcivilorganization, native, n0)),
% 47.80/47.99      inference(unit_resolution,[status(thm)],[300, 299])).
% 47.80/47.99  tff(302,plain,
% 47.80/47.99      ((~((~accept_population(countrybcivilorganization, atheist, n70)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n8)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n2)))) | (~accept_population(countrybcivilorganization, atheist, n70)) | (~accept_population(countrybcivilorganization, christian, n20)) | (~accept_population(countrybcivilorganization, muslim, n8)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n2))),
% 47.80/47.99      inference(tautology,[status(thm)],[])).
% 47.80/47.99  tff(303,plain,
% 47.80/47.99      ((~accept_population(countrybcivilorganization, atheist, n70)) | (~accept_population(countrybcivilorganization, muslim, n8)) | (~accept_population(countrybcivilorganization, other, n2))),
% 47.80/47.99      inference(unit_resolution,[status(thm)],[302, 301, 269, 247])).
% 47.80/47.99  tff(304,plain,
% 47.80/47.99      (~accept_population(countrybcivilorganization, atheist, n70)),
% 47.80/47.99      inference(unit_resolution,[status(thm)],[303, 192, 126])).
% 47.80/47.99  tff(305,plain,
% 47.80/47.99      (((~accept_population(countrybcivilorganization, atheist, n75)) | (~accept_population(countrybcivilorganization, christian, n24)) | (~accept_population(countrybcivilorganization, muslim, n1)) | (~accept_population(countrybcivilorganization, native, n0)) | (~accept_population(countrybcivilorganization, other, n0))) | accept_population(countrybcivilorganization, atheist, n75)),
% 47.80/47.99      inference(tautology,[status(thm)],[])).
% 47.80/47.99  tff(306,plain,
% 47.80/47.99      (accept_population(countrybcivilorganization, atheist, n75)),
% 47.80/47.99      inference(unit_resolution,[status(thm)],[305, 299])).
% 47.80/47.99  tff(307,plain,
% 47.80/47.99      (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | ((~accept_population(countrybcivilorganization, atheist, n75)) | accept_population(countrybcivilorganization, atheist, n70) | (~less(n70, n75)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, atheist, n75)) | accept_population(countrybcivilorganization, atheist, n70) | (~less(n70, n75)))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(308,plain,
% 47.80/47.99      ((accept_population(countrybcivilorganization, atheist, n70) | (~accept_population(countrybcivilorganization, atheist, n75)) | (~less(n70, n75))) <=> ((~accept_population(countrybcivilorganization, atheist, n75)) | accept_population(countrybcivilorganization, atheist, n70) | (~less(n70, n75)))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(309,plain,
% 47.80/47.99      (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, atheist, n70) | (~accept_population(countrybcivilorganization, atheist, n75)) | (~less(n70, n75)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | ((~accept_population(countrybcivilorganization, atheist, n75)) | accept_population(countrybcivilorganization, atheist, n70) | (~less(n70, n75))))),
% 47.80/47.99      inference(monotonicity,[status(thm)],[308])).
% 47.80/47.99  tff(310,plain,
% 47.80/47.99      (((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, atheist, n70) | (~accept_population(countrybcivilorganization, atheist, n75)) | (~less(n70, n75)))) <=> ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, atheist, n75)) | accept_population(countrybcivilorganization, atheist, n70) | (~less(n70, n75)))),
% 47.80/47.99      inference(transitivity,[status(thm)],[309, 307])).
% 47.80/47.99  tff(311,plain,
% 47.80/47.99      ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (accept_population(countrybcivilorganization, atheist, n70) | (~accept_population(countrybcivilorganization, atheist, n75)) | (~less(n70, n75)))),
% 47.80/47.99      inference(quant_inst,[status(thm)],[])).
% 47.80/47.99  tff(312,plain,
% 47.80/47.99      ((~![A: $i, N: $i, M: $i, P: $i] : (accept_population(A, P, M) | (~accept_population(A, P, N)) | (~less(M, N)))) | (~accept_population(countrybcivilorganization, atheist, n75)) | accept_population(countrybcivilorganization, atheist, n70) | (~less(n70, n75))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[311, 310])).
% 47.80/47.99  tff(313,plain,
% 47.80/47.99      (~less(n70, n75)),
% 47.80/47.99      inference(unit_resolution,[status(thm)],[312, 118, 306, 304])).
% 47.80/47.99  tff(314,assumption,(~rdn_positive_less(rdnn(n0), rdnn(n5))), introduced(assumption)).
% 47.80/47.99  tff(315,assumption,(~rdn_positive_less(rdnn(n1), rdnn(n5))), introduced(assumption)).
% 47.80/47.99  tff(316,plain,
% 47.80/47.99      (rdn_positive_less(rdnn(n1), rdnn(n2)) <=> rdn_positive_less(rdnn(n1), rdnn(n2))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(317,axiom,(rdn_positive_less(rdnn(n1), rdnn(n2))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_positive_less12')).
% 47.80/47.99  tff(318,plain,
% 47.80/47.99      (rdn_positive_less(rdnn(n1), rdnn(n2))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[317, 316])).
% 47.80/47.99  tff(319,plain,
% 47.80/47.99      (((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | ((~rdn_positive_less(rdnn(n1), rdnn(n2))) | rdn_positive_less(rdnn(n1), rdnn(n5)) | (~rdn_positive_less(rdnn(n2), rdnn(n5))))) <=> ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (~rdn_positive_less(rdnn(n1), rdnn(n2))) | rdn_positive_less(rdnn(n1), rdnn(n5)) | (~rdn_positive_less(rdnn(n2), rdnn(n5))))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(320,plain,
% 47.80/47.99      ((rdn_positive_less(rdnn(n1), rdnn(n5)) | (~rdn_positive_less(rdnn(n1), rdnn(n2))) | (~rdn_positive_less(rdnn(n2), rdnn(n5)))) <=> ((~rdn_positive_less(rdnn(n1), rdnn(n2))) | rdn_positive_less(rdnn(n1), rdnn(n5)) | (~rdn_positive_less(rdnn(n2), rdnn(n5))))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(321,plain,
% 47.80/47.99      (((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (rdn_positive_less(rdnn(n1), rdnn(n5)) | (~rdn_positive_less(rdnn(n1), rdnn(n2))) | (~rdn_positive_less(rdnn(n2), rdnn(n5))))) <=> ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | ((~rdn_positive_less(rdnn(n1), rdnn(n2))) | rdn_positive_less(rdnn(n1), rdnn(n5)) | (~rdn_positive_less(rdnn(n2), rdnn(n5)))))),
% 47.80/47.99      inference(monotonicity,[status(thm)],[320])).
% 47.80/47.99  tff(322,plain,
% 47.80/47.99      (((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (rdn_positive_less(rdnn(n1), rdnn(n5)) | (~rdn_positive_less(rdnn(n1), rdnn(n2))) | (~rdn_positive_less(rdnn(n2), rdnn(n5))))) <=> ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (~rdn_positive_less(rdnn(n1), rdnn(n2))) | rdn_positive_less(rdnn(n1), rdnn(n5)) | (~rdn_positive_less(rdnn(n2), rdnn(n5))))),
% 47.80/47.99      inference(transitivity,[status(thm)],[321, 319])).
% 47.80/47.99  tff(323,plain,
% 47.80/47.99      ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (rdn_positive_less(rdnn(n1), rdnn(n5)) | (~rdn_positive_less(rdnn(n1), rdnn(n2))) | (~rdn_positive_less(rdnn(n2), rdnn(n5))))),
% 47.80/47.99      inference(quant_inst,[status(thm)],[])).
% 47.80/47.99  tff(324,plain,
% 47.80/47.99      ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (~rdn_positive_less(rdnn(n1), rdnn(n2))) | rdn_positive_less(rdnn(n1), rdnn(n5)) | (~rdn_positive_less(rdnn(n2), rdnn(n5)))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[323, 322])).
% 47.80/47.99  tff(325,plain,
% 47.80/47.99      ($false),
% 47.80/47.99      inference(unit_resolution,[status(thm)],[324, 318, 141, 315, 167])).
% 47.80/47.99  tff(326,plain,(rdn_positive_less(rdnn(n1), rdnn(n5))), inference(lemma,lemma(discharge,[]))).
% 47.80/47.99  tff(327,plain,
% 47.80/47.99      (rdn_positive_less(rdnn(n0), rdnn(n1)) <=> rdn_positive_less(rdnn(n0), rdnn(n1))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(328,axiom,(rdn_positive_less(rdnn(n0), rdnn(n1))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_positive_less01')).
% 47.80/47.99  tff(329,plain,
% 47.80/47.99      (rdn_positive_less(rdnn(n0), rdnn(n1))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[328, 327])).
% 47.80/47.99  tff(330,plain,
% 47.80/47.99      (((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | ((~rdn_positive_less(rdnn(n1), rdnn(n5))) | (~rdn_positive_less(rdnn(n0), rdnn(n1))) | rdn_positive_less(rdnn(n0), rdnn(n5)))) <=> ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (~rdn_positive_less(rdnn(n1), rdnn(n5))) | (~rdn_positive_less(rdnn(n0), rdnn(n1))) | rdn_positive_less(rdnn(n0), rdnn(n5)))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(331,plain,
% 47.80/47.99      ((rdn_positive_less(rdnn(n0), rdnn(n5)) | (~rdn_positive_less(rdnn(n0), rdnn(n1))) | (~rdn_positive_less(rdnn(n1), rdnn(n5)))) <=> ((~rdn_positive_less(rdnn(n1), rdnn(n5))) | (~rdn_positive_less(rdnn(n0), rdnn(n1))) | rdn_positive_less(rdnn(n0), rdnn(n5)))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(332,plain,
% 47.80/47.99      (((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (rdn_positive_less(rdnn(n0), rdnn(n5)) | (~rdn_positive_less(rdnn(n0), rdnn(n1))) | (~rdn_positive_less(rdnn(n1), rdnn(n5))))) <=> ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | ((~rdn_positive_less(rdnn(n1), rdnn(n5))) | (~rdn_positive_less(rdnn(n0), rdnn(n1))) | rdn_positive_less(rdnn(n0), rdnn(n5))))),
% 47.80/47.99      inference(monotonicity,[status(thm)],[331])).
% 47.80/47.99  tff(333,plain,
% 47.80/47.99      (((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (rdn_positive_less(rdnn(n0), rdnn(n5)) | (~rdn_positive_less(rdnn(n0), rdnn(n1))) | (~rdn_positive_less(rdnn(n1), rdnn(n5))))) <=> ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (~rdn_positive_less(rdnn(n1), rdnn(n5))) | (~rdn_positive_less(rdnn(n0), rdnn(n1))) | rdn_positive_less(rdnn(n0), rdnn(n5)))),
% 47.80/47.99      inference(transitivity,[status(thm)],[332, 330])).
% 47.80/47.99  tff(334,plain,
% 47.80/47.99      ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (rdn_positive_less(rdnn(n0), rdnn(n5)) | (~rdn_positive_less(rdnn(n0), rdnn(n1))) | (~rdn_positive_less(rdnn(n1), rdnn(n5))))),
% 47.80/47.99      inference(quant_inst,[status(thm)],[])).
% 47.80/47.99  tff(335,plain,
% 47.80/47.99      ((~![X: $i, Y: $i, Z: $i] : (rdn_positive_less(rdnn(X), rdnn(Z)) | (~rdn_positive_less(rdnn(X), rdnn(Y))) | (~rdn_positive_less(rdnn(Y), rdnn(Z))))) | (~rdn_positive_less(rdnn(n1), rdnn(n5))) | (~rdn_positive_less(rdnn(n0), rdnn(n1))) | rdn_positive_less(rdnn(n0), rdnn(n5))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[334, 333])).
% 47.80/47.99  tff(336,plain,
% 47.80/47.99      ($false),
% 47.80/47.99      inference(unit_resolution,[status(thm)],[335, 329, 141, 326, 314])).
% 47.80/47.99  tff(337,plain,(rdn_positive_less(rdnn(n0), rdnn(n5))), inference(lemma,lemma(discharge,[]))).
% 47.80/47.99  tff(338,plain,
% 47.80/47.99      (rdn_non_zero_digit(rdnn(n7)) <=> rdn_non_zero_digit(rdnn(n7))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(339,axiom,(rdn_non_zero_digit(rdnn(n7))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_digit7')).
% 47.80/47.99  tff(340,plain,
% 47.80/47.99      (rdn_non_zero_digit(rdnn(n7))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[339, 338])).
% 47.80/47.99  tff(341,plain,
% 47.80/47.99      (((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | (rdn_non_zero(rdnn(n7)) | (~rdn_non_zero_digit(rdnn(n7))))) <=> ((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | rdn_non_zero(rdnn(n7)) | (~rdn_non_zero_digit(rdnn(n7))))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(342,plain,
% 47.80/47.99      ((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | (rdn_non_zero(rdnn(n7)) | (~rdn_non_zero_digit(rdnn(n7))))),
% 47.80/47.99      inference(quant_inst,[status(thm)],[])).
% 47.80/47.99  tff(343,plain,
% 47.80/47.99      ((~![X: $i] : (rdn_non_zero(rdnn(X)) | (~rdn_non_zero_digit(rdnn(X))))) | rdn_non_zero(rdnn(n7)) | (~rdn_non_zero_digit(rdnn(n7)))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[342, 341])).
% 47.80/47.99  tff(344,plain,
% 47.80/47.99      (rdn_non_zero(rdnn(n7))),
% 47.80/47.99      inference(unit_resolution,[status(thm)],[343, 340, 11])).
% 47.80/47.99  tff(345,plain,
% 47.80/47.99      (^[Ds: $i, O: $i, Db: $i] : refl((rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))) <=> (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))))),
% 47.80/47.99      inference(bind,[status(th)],[])).
% 47.80/47.99  tff(346,plain,
% 47.80/47.99      (![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))) <=> ![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))),
% 47.80/47.99      inference(quant_intro,[status(thm)],[345])).
% 47.80/47.99  tff(347,plain,
% 47.80/47.99      (^[Ds: $i, O: $i, Db: $i] : trans(monotonicity(trans(monotonicity(rewrite((rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O)) <=> (~((~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))))), ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) <=> (~(~((~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))))))), rewrite((~(~((~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))))) <=> ((~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))), ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) <=> ((~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))))), (((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))) <=> (((~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))))), rewrite((((~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))) <=> (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))), (((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))) <=> (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))))),
% 47.80/47.99      inference(bind,[status(th)],[])).
% 47.80/47.99  tff(348,plain,
% 47.80/47.99      (![Ds: $i, O: $i, Db: $i] : ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))) <=> ![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))),
% 47.80/47.99      inference(quant_intro,[status(thm)],[347])).
% 47.80/47.99  tff(349,plain,
% 47.80/47.99      (![Ds: $i, O: $i, Db: $i] : ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))) <=> ![Ds: $i, O: $i, Db: $i] : ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(350,plain,
% 47.80/47.99      (^[Ds: $i, O: $i, Db: $i] : rewrite(((rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O)) => rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))) <=> ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))))),
% 47.80/47.99      inference(bind,[status(th)],[])).
% 47.80/47.99  tff(351,plain,
% 47.80/47.99      (![Ds: $i, O: $i, Db: $i] : ((rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O)) => rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O))) <=> ![Ds: $i, O: $i, Db: $i] : ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)))),
% 47.80/47.99      inference(quant_intro,[status(thm)],[350])).
% 47.80/47.99  tff(352,axiom,(![Ds: $i, O: $i, Db: $i] : ((rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O)) => rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax','rdn_positive_less_multi_digit_low')).
% 47.80/47.99  tff(353,plain,
% 47.80/47.99      (![Ds: $i, O: $i, Db: $i] : ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[352, 351])).
% 47.80/47.99  tff(354,plain,
% 47.80/47.99      (![Ds: $i, O: $i, Db: $i] : ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[353, 349])).
% 47.80/47.99  tff(355,plain,(
% 47.80/47.99      ![Ds: $i, O: $i, Db: $i] : ((~(rdn_positive_less(rdnn(Ds), rdnn(Db)) & rdn_non_zero(O))) | rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)))),
% 47.80/47.99      inference(skolemize,[status(sab)],[354])).
% 47.80/47.99  tff(356,plain,
% 47.80/47.99      (![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[355, 348])).
% 47.80/47.99  tff(357,plain,
% 47.80/47.99      (![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[356, 346])).
% 47.80/47.99  tff(358,plain,
% 47.80/47.99      (((~![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))) | ((~rdn_positive_less(rdnn(n0), rdnn(n5))) | (~rdn_non_zero(rdnn(n7))) | rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7))))) <=> ((~![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))) | (~rdn_positive_less(rdnn(n0), rdnn(n5))) | (~rdn_non_zero(rdnn(n7))) | rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7))))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(359,plain,
% 47.80/47.99      ((rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7))) | (~rdn_positive_less(rdnn(n0), rdnn(n5))) | (~rdn_non_zero(rdnn(n7)))) <=> ((~rdn_positive_less(rdnn(n0), rdnn(n5))) | (~rdn_non_zero(rdnn(n7))) | rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7))))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(360,plain,
% 47.80/47.99      (((~![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))) | (rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7))) | (~rdn_positive_less(rdnn(n0), rdnn(n5))) | (~rdn_non_zero(rdnn(n7))))) <=> ((~![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))) | ((~rdn_positive_less(rdnn(n0), rdnn(n5))) | (~rdn_non_zero(rdnn(n7))) | rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7)))))),
% 47.80/47.99      inference(monotonicity,[status(thm)],[359])).
% 47.80/47.99  tff(361,plain,
% 47.80/47.99      (((~![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))) | (rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7))) | (~rdn_positive_less(rdnn(n0), rdnn(n5))) | (~rdn_non_zero(rdnn(n7))))) <=> ((~![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))) | (~rdn_positive_less(rdnn(n0), rdnn(n5))) | (~rdn_non_zero(rdnn(n7))) | rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7))))),
% 47.80/47.99      inference(transitivity,[status(thm)],[360, 358])).
% 47.80/47.99  tff(362,plain,
% 47.80/47.99      ((~![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))) | (rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7))) | (~rdn_positive_less(rdnn(n0), rdnn(n5))) | (~rdn_non_zero(rdnn(n7))))),
% 47.80/47.99      inference(quant_inst,[status(thm)],[])).
% 47.80/47.99  tff(363,plain,
% 47.80/47.99      ((~![Ds: $i, O: $i, Db: $i] : (rdn_positive_less(rdn(rdnn(Ds), O), rdn(rdnn(Db), O)) | (~rdn_positive_less(rdnn(Ds), rdnn(Db))) | (~rdn_non_zero(O)))) | (~rdn_positive_less(rdnn(n0), rdnn(n5))) | (~rdn_non_zero(rdnn(n7))) | rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7)))),
% 47.80/47.99      inference(modus_ponens,[status(thm)],[362, 361])).
% 47.80/47.99  tff(364,plain,
% 47.80/47.99      ((~rdn_positive_less(rdnn(n0), rdnn(n5))) | (~rdn_non_zero(rdnn(n7))) | rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7)))),
% 47.80/47.99      inference(unit_resolution,[status(thm)],[363, 357])).
% 47.80/47.99  tff(365,plain,
% 47.80/47.99      ((~rdn_positive_less(rdnn(n0), rdnn(n5))) | rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7)))),
% 47.80/47.99      inference(unit_resolution,[status(thm)],[364, 344])).
% 47.80/47.99  tff(366,plain,
% 47.80/47.99      (rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7)))),
% 47.80/47.99      inference(unit_resolution,[status(thm)],[365, 337])).
% 47.80/47.99  tff(367,plain,
% 47.80/47.99      (rdn_translate(n75, rdn_pos(rdn(rdnn(n5), rdnn(n7)))) <=> rdn_translate(n75, rdn_pos(rdn(rdnn(n5), rdnn(n7))))),
% 47.80/47.99      inference(rewrite,[status(thm)],[])).
% 47.80/47.99  tff(368,axiom,(rdn_translate(n75, rdn_pos(rdn(rdnn(n5), rdnn(n7))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax','rdn75')).
% 47.80/48.00  tff(369,plain,
% 47.80/48.00      (rdn_translate(n75, rdn_pos(rdn(rdnn(n5), rdnn(n7))))),
% 47.80/48.00      inference(modus_ponens,[status(thm)],[368, 367])).
% 47.80/48.00  tff(370,plain,
% 47.80/48.00      (rdn_translate(n70, rdn_pos(rdn(rdnn(n0), rdnn(n7)))) <=> rdn_translate(n70, rdn_pos(rdn(rdnn(n0), rdnn(n7))))),
% 47.80/48.00      inference(rewrite,[status(thm)],[])).
% 47.80/48.00  tff(371,axiom,(rdn_translate(n70, rdn_pos(rdn(rdnn(n0), rdnn(n7))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax','rdn70')).
% 47.80/48.00  tff(372,plain,
% 47.80/48.00      (rdn_translate(n70, rdn_pos(rdn(rdnn(n0), rdnn(n7))))),
% 47.80/48.00      inference(modus_ponens,[status(thm)],[371, 370])).
% 47.80/48.00  tff(373,plain,
% 47.80/48.00      (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | ((~rdn_translate(n75, rdn_pos(rdn(rdnn(n5), rdnn(n7))))) | (~rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7)))) | less(n70, n75) | (~rdn_translate(n70, rdn_pos(rdn(rdnn(n0), rdnn(n7))))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_translate(n75, rdn_pos(rdn(rdnn(n5), rdnn(n7))))) | (~rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7)))) | less(n70, n75) | (~rdn_translate(n70, rdn_pos(rdn(rdnn(n0), rdnn(n7))))))),
% 47.80/48.00      inference(rewrite,[status(thm)],[])).
% 47.80/48.00  tff(374,plain,
% 47.80/48.00      ((less(n70, n75) | (~rdn_translate(n70, rdn_pos(rdn(rdnn(n0), rdnn(n7))))) | (~rdn_translate(n75, rdn_pos(rdn(rdnn(n5), rdnn(n7))))) | (~rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7))))) <=> ((~rdn_translate(n75, rdn_pos(rdn(rdnn(n5), rdnn(n7))))) | (~rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7)))) | less(n70, n75) | (~rdn_translate(n70, rdn_pos(rdn(rdnn(n0), rdnn(n7))))))),
% 47.80/48.00      inference(rewrite,[status(thm)],[])).
% 47.80/48.00  tff(375,plain,
% 47.80/48.00      (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n70, n75) | (~rdn_translate(n70, rdn_pos(rdn(rdnn(n0), rdnn(n7))))) | (~rdn_translate(n75, rdn_pos(rdn(rdnn(n5), rdnn(n7))))) | (~rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7)))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | ((~rdn_translate(n75, rdn_pos(rdn(rdnn(n5), rdnn(n7))))) | (~rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7)))) | less(n70, n75) | (~rdn_translate(n70, rdn_pos(rdn(rdnn(n0), rdnn(n7)))))))),
% 47.80/48.00      inference(monotonicity,[status(thm)],[374])).
% 47.80/48.00  tff(376,plain,
% 47.80/48.00      (((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n70, n75) | (~rdn_translate(n70, rdn_pos(rdn(rdnn(n0), rdnn(n7))))) | (~rdn_translate(n75, rdn_pos(rdn(rdnn(n5), rdnn(n7))))) | (~rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7)))))) <=> ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_translate(n75, rdn_pos(rdn(rdnn(n5), rdnn(n7))))) | (~rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7)))) | less(n70, n75) | (~rdn_translate(n70, rdn_pos(rdn(rdnn(n0), rdnn(n7))))))),
% 47.80/48.00      inference(transitivity,[status(thm)],[375, 373])).
% 47.80/48.00  tff(377,plain,
% 47.80/48.00      ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (less(n70, n75) | (~rdn_translate(n70, rdn_pos(rdn(rdnn(n0), rdnn(n7))))) | (~rdn_translate(n75, rdn_pos(rdn(rdnn(n5), rdnn(n7))))) | (~rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7)))))),
% 47.80/48.00      inference(quant_inst,[status(thm)],[])).
% 47.80/48.00  tff(378,plain,
% 47.80/48.00      ((~![X: $i, Y: $i, RDN_X: $i, RDN_Y: $i] : (less(X, Y) | (~rdn_translate(X, rdn_pos(RDN_X))) | (~rdn_translate(Y, rdn_pos(RDN_Y))) | (~rdn_positive_less(RDN_X, RDN_Y)))) | (~rdn_translate(n75, rdn_pos(rdn(rdnn(n5), rdnn(n7))))) | (~rdn_positive_less(rdn(rdnn(n0), rdnn(n7)), rdn(rdnn(n5), rdnn(n7)))) | less(n70, n75) | (~rdn_translate(n70, rdn_pos(rdn(rdnn(n0), rdnn(n7)))))),
% 47.80/48.05      inference(modus_ponens,[status(thm)],[377, 376])).
% 47.80/48.05  tff(379,plain,
% 47.80/48.05      ($false),
% 47.80/48.05      inference(unit_resolution,[status(thm)],[378, 372, 369, 45, 366, 313])).
% 47.80/48.05  % SZS output end Proof
% 47.91/48.06  % E exiting
%------------------------------------------------------------------------------