Z3---4.15.1.THM-Prf.s

%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : MGT007+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : run_E %s %d THM

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  8 06:23:55 AM UTC 2026

% Result   : Theorem 0.13s 0.40s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem    : MGT007+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.02  % Command    : run_E %s %d THM
% 0.08/0.34  % Computer : n026.cluster.edu
% 0.08/0.34  % Model    : x86_64 x86_64
% 0.08/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34  % Memory   : 8046.5625MB
% 0.08/0.34  % OS       : Linux 6.8.0-71-generic
% 0.08/0.34  % CPULimit   : 300
% 0.08/0.34  % WCLimit    : 300
% 0.08/0.34  % DateTime   : Mon Sep  7 11:46:29 UTC 2026
% 0.08/0.34  % CPUTime    : 
% 0.13/0.40  % SZS status Theorem
% 0.13/0.40  % SZS output start Proof
% 0.13/0.40  tff(greater_type, type, (
% 0.13/0.40     greater: ( $i * $i ) > $o)).
% 0.13/0.40  tff(tptp_fun_Rp2_7_type, type, (
% 0.13/0.40     tptp_fun_Rp2_7: $i)).
% 0.13/0.40  tff(tptp_fun_Rp1_8_type, type, (
% 0.13/0.40     tptp_fun_Rp1_8: $i)).
% 0.13/0.40  tff(tptp_fun_A_1_type, type, (
% 0.13/0.40     tptp_fun_A_1: ( $i * $i ) > $i)).
% 0.13/0.40  tff(tptp_fun_X_9_type, type, (
% 0.13/0.40     tptp_fun_X_9: $i)).
% 0.13/0.40  tff(tptp_fun_T2_5_type, type, (
% 0.13/0.40     tptp_fun_T2_5: $i)).
% 0.13/0.40  tff(tptp_fun_T1_6_type, type, (
% 0.13/0.40     tptp_fun_T1_6: $i)).
% 0.13/0.40  tff(tptp_fun_R_0_type, type, (
% 0.13/0.40     tptp_fun_R_0: ( $i * $i ) > $i)).
% 0.13/0.40  tff(accountability_type, type, (
% 0.13/0.40     accountability: ( $i * $i * $i ) > $o)).
% 0.13/0.40  tff(organization_type, type, (
% 0.13/0.40     organization: ( $i * $i ) > $o)).
% 0.13/0.40  tff(tptp_fun_Tb_3_type, type, (
% 0.13/0.40     tptp_fun_Tb_3: $i)).
% 0.13/0.40  tff(tptp_fun_Ta_4_type, type, (
% 0.13/0.40     tptp_fun_Ta_4: $i)).
% 0.13/0.40  tff(reproducibility_type, type, (
% 0.13/0.40     reproducibility: ( $i * $i * $i ) > $o)).
% 0.13/0.40  tff(reorganization_type, type, (
% 0.13/0.40     reorganization: ( $i * $i * $i ) > $o)).
% 0.13/0.40  tff(reliability_type, type, (
% 0.13/0.40     reliability: ( $i * $i * $i ) > $o)).
% 0.13/0.40  tff(1,plain,
% 0.13/0.40      ((~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2))) <=> (~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2)))),
% 0.13/0.40      inference(rewrite,[status(thm)],[])).
% 0.13/0.40  tff(2,plain,
% 0.13/0.40      ((~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reproducibility(X, Rp1, T1)) & reproducibility(X, Rp2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) & (~greater(T2, Tb))) => greater(Rp1, Rp2))) <=> (~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2)))),
% 0.13/0.40      inference(rewrite,[status(thm)],[])).
% 0.13/0.40  tff(3,axiom,(~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reproducibility(X, Rp1, T1)) & reproducibility(X, Rp2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) & (~greater(T2, Tb))) => greater(Rp1, Rp2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t7_FOL')).
% 0.13/0.40  tff(4,plain,
% 0.13/0.40      (~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[3, 2])).
% 0.13/0.40  tff(5,plain,
% 0.13/0.40      (~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[4, 1])).
% 0.13/0.40  tff(6,plain,
% 0.13/0.40      (~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[5, 1])).
% 0.13/0.40  tff(7,plain,
% 0.13/0.40      (~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | greater(Rp1, Rp2))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[6, 1])).
% 0.13/0.40  tff(8,plain,(
% 0.13/0.40      ~((~(organization(X!9, T1!6) & organization(X!9, T2!5) & reorganization(X!9, Ta!4, Tb!3) & reproducibility(X!9, Rp1!8, T1!6) & reproducibility(X!9, Rp2!7, T2!5) & (~greater(Ta!4, T1!6)) & greater(T2!5, T1!6) & (~greater(T2!5, Tb!3)))) | greater(Rp1!8, Rp2!7))),
% 0.13/0.40      inference(skolemize,[status(sab)],[7])).
% 0.13/0.40  tff(9,plain,
% 0.13/0.40      (organization(X!9, T1!6) & organization(X!9, T2!5) & reorganization(X!9, Ta!4, Tb!3) & reproducibility(X!9, Rp1!8, T1!6) & reproducibility(X!9, Rp2!7, T2!5) & (~greater(Ta!4, T1!6)) & greater(T2!5, T1!6) & (~greater(T2!5, Tb!3))),
% 0.13/0.40      inference(or_elim,[status(thm)],[8])).
% 0.13/0.40  tff(10,plain,
% 0.13/0.40      (organization(X!9, T2!5)),
% 0.13/0.40      inference(and_elim,[status(thm)],[9])).
% 0.13/0.40  tff(11,plain,
% 0.13/0.40      (^[X: $i, T: $i] : refl(((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T)) <=> ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T)))),
% 0.13/0.40      inference(bind,[status(th)],[])).
% 0.13/0.40  tff(12,plain,
% 0.13/0.40      (![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))),
% 0.13/0.40      inference(quant_intro,[status(thm)],[11])).
% 0.13/0.40  tff(13,plain,
% 0.13/0.40      (![X: $i, T: $i] : ((~organization(X, T)) | ?[A: $i] : accountability(X, A, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[A: $i] : accountability(X, A, T))),
% 0.13/0.40      inference(rewrite,[status(thm)],[])).
% 0.13/0.40  tff(14,plain,
% 0.13/0.40      (^[X: $i, T: $i] : rewrite((organization(X, T) => ?[A: $i] : accountability(X, A, T)) <=> ((~organization(X, T)) | ?[A: $i] : accountability(X, A, T)))),
% 0.13/0.40      inference(bind,[status(th)],[])).
% 0.13/0.40  tff(15,plain,
% 0.13/0.40      (![X: $i, T: $i] : (organization(X, T) => ?[A: $i] : accountability(X, A, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[A: $i] : accountability(X, A, T))),
% 0.13/0.40      inference(quant_intro,[status(thm)],[14])).
% 0.13/0.40  tff(16,axiom,(![X: $i, T: $i] : (organization(X, T) => ?[A: $i] : accountability(X, A, T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp2')).
% 0.13/0.40  tff(17,plain,
% 0.13/0.40      (![X: $i, T: $i] : ((~organization(X, T)) | ?[A: $i] : accountability(X, A, T))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[16, 15])).
% 0.13/0.40  tff(18,plain,
% 0.13/0.40      (![X: $i, T: $i] : ((~organization(X, T)) | ?[A: $i] : accountability(X, A, T))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[17, 13])).
% 0.13/0.40  tff(19,plain,(
% 0.13/0.40      ![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))),
% 0.13/0.40      inference(skolemize,[status(sab)],[18])).
% 0.13/0.40  tff(20,plain,
% 0.13/0.40      (![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[19, 12])).
% 0.13/0.40  tff(21,plain,
% 0.13/0.40      (((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | ((~organization(X!9, T2!5)) | accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | (~organization(X!9, T2!5)) | accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5))),
% 0.13/0.40      inference(rewrite,[status(thm)],[])).
% 0.13/0.40  tff(22,plain,
% 0.13/0.40      ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | ((~organization(X!9, T2!5)) | accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5))),
% 0.13/0.40      inference(quant_inst,[status(thm)],[])).
% 0.13/0.40  tff(23,plain,
% 0.13/0.40      ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | (~organization(X!9, T2!5)) | accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[22, 21])).
% 0.13/0.40  tff(24,plain,
% 0.13/0.40      (accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)),
% 0.13/0.40      inference(unit_resolution,[status(thm)],[23, 20, 10])).
% 0.13/0.40  tff(25,plain,
% 0.13/0.40      (^[X: $i, T: $i] : refl(((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T)) <=> ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T)))),
% 0.13/0.40      inference(bind,[status(th)],[])).
% 0.13/0.40  tff(26,plain,
% 0.13/0.40      (![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))),
% 0.13/0.40      inference(quant_intro,[status(thm)],[25])).
% 0.13/0.40  tff(27,plain,
% 0.13/0.40      (![X: $i, T: $i] : ((~organization(X, T)) | ?[R: $i] : reliability(X, R, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[R: $i] : reliability(X, R, T))),
% 0.13/0.40      inference(rewrite,[status(thm)],[])).
% 0.13/0.40  tff(28,plain,
% 0.13/0.40      (^[X: $i, T: $i] : rewrite((organization(X, T) => ?[R: $i] : reliability(X, R, T)) <=> ((~organization(X, T)) | ?[R: $i] : reliability(X, R, T)))),
% 0.13/0.40      inference(bind,[status(th)],[])).
% 0.13/0.40  tff(29,plain,
% 0.13/0.40      (![X: $i, T: $i] : (organization(X, T) => ?[R: $i] : reliability(X, R, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[R: $i] : reliability(X, R, T))),
% 0.13/0.40      inference(quant_intro,[status(thm)],[28])).
% 0.13/0.40  tff(30,axiom,(![X: $i, T: $i] : (organization(X, T) => ?[R: $i] : reliability(X, R, T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp1')).
% 0.13/0.40  tff(31,plain,
% 0.13/0.40      (![X: $i, T: $i] : ((~organization(X, T)) | ?[R: $i] : reliability(X, R, T))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[30, 29])).
% 0.13/0.40  tff(32,plain,
% 0.13/0.40      (![X: $i, T: $i] : ((~organization(X, T)) | ?[R: $i] : reliability(X, R, T))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[31, 27])).
% 0.13/0.40  tff(33,plain,(
% 0.13/0.40      ![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))),
% 0.13/0.40      inference(skolemize,[status(sab)],[32])).
% 0.13/0.40  tff(34,plain,
% 0.13/0.40      (![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[33, 26])).
% 0.13/0.40  tff(35,plain,
% 0.13/0.40      (((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | ((~organization(X!9, T2!5)) | reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | (~organization(X!9, T2!5)) | reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5))),
% 0.13/0.40      inference(rewrite,[status(thm)],[])).
% 0.13/0.40  tff(36,plain,
% 0.13/0.40      ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | ((~organization(X!9, T2!5)) | reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5))),
% 0.13/0.40      inference(quant_inst,[status(thm)],[])).
% 0.13/0.40  tff(37,plain,
% 0.13/0.40      ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | (~organization(X!9, T2!5)) | reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[36, 35])).
% 0.13/0.40  tff(38,plain,
% 0.13/0.40      (reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)),
% 0.13/0.40      inference(unit_resolution,[status(thm)],[37, 34, 10])).
% 0.13/0.40  tff(39,plain,
% 0.13/0.40      (organization(X!9, T1!6)),
% 0.13/0.40      inference(and_elim,[status(thm)],[9])).
% 0.13/0.40  tff(40,plain,
% 0.13/0.40      (((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | ((~organization(X!9, T1!6)) | accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | (~organization(X!9, T1!6)) | accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6))),
% 0.13/0.40      inference(rewrite,[status(thm)],[])).
% 0.13/0.40  tff(41,plain,
% 0.13/0.40      ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | ((~organization(X!9, T1!6)) | accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6))),
% 0.13/0.40      inference(quant_inst,[status(thm)],[])).
% 0.13/0.40  tff(42,plain,
% 0.13/0.40      ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | (~organization(X!9, T1!6)) | accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[41, 40])).
% 0.13/0.40  tff(43,plain,
% 0.13/0.40      (accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)),
% 0.13/0.40      inference(unit_resolution,[status(thm)],[42, 20, 39])).
% 0.13/0.40  tff(44,plain,
% 0.13/0.40      (((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | ((~organization(X!9, T1!6)) | reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | (~organization(X!9, T1!6)) | reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6))),
% 0.13/0.40      inference(rewrite,[status(thm)],[])).
% 0.13/0.40  tff(45,plain,
% 0.13/0.40      ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | ((~organization(X!9, T1!6)) | reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6))),
% 0.13/0.40      inference(quant_inst,[status(thm)],[])).
% 0.13/0.40  tff(46,plain,
% 0.13/0.40      ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | (~organization(X!9, T1!6)) | reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)),
% 0.13/0.40      inference(modus_ponens,[status(thm)],[45, 44])).
% 0.13/0.40  tff(47,plain,
% 0.13/0.40      (reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)),
% 0.13/0.40      inference(unit_resolution,[status(thm)],[46, 34, 39])).
% 0.13/0.40  tff(48,plain,
% 0.13/0.40      (~greater(T2!5, Tb!3)),
% 0.13/0.40      inference(and_elim,[status(thm)],[9])).
% 0.13/0.40  tff(49,plain,
% 0.13/0.40      (greater(T2!5, T1!6)),
% 0.13/0.40      inference(and_elim,[status(thm)],[9])).
% 0.13/0.40  tff(50,plain,
% 0.13/0.40      (~greater(Ta!4, T1!6)),
% 0.13/0.40      inference(and_elim,[status(thm)],[9])).
% 0.13/0.40  tff(51,plain,
% 0.13/0.40      (reorganization(X!9, Ta!4, Tb!3)),
% 0.13/0.40      inference(and_elim,[status(thm)],[9])).
% 0.13/0.40  tff(52,plain,
% 0.13/0.40      (^[X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : refl((greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2))))) <=> (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2))))))),
% 0.13/0.40      inference(bind,[status(th)],[])).
% 0.13/0.40  tff(53,plain,
% 0.13/0.40      (![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2))))) <=> ![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))),
% 0.13/0.40      inference(quant_intro,[status(thm)],[52])).
% 0.13/0.40  tff(54,plain,
% 0.13/0.40      (^[X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb))) <=> (~(greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2))))), ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) <=> (~(~(greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2))))))), rewrite((~(~(greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2))))) <=> (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)))), ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) <=> (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2))))), rewrite((greater(R1, R2) & greater(A1, A2)) <=> (~((~greater(R1, R2)) | (~greater(A1, A2))))), (((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2))) <=> ((greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2))) | (~((~greater(R1, R2)) | (~greater(A1, A2))))))), rewrite(((greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2))) | (~((~greater(R1, R2)) | (~greater(A1, A2))))) <=> (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))), (((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2))) <=> (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))))),
% 0.13/0.41      inference(bind,[status(th)],[])).
% 0.13/0.41  tff(55,plain,
% 0.13/0.41      (![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2))) <=> ![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))),
% 0.13/0.41      inference(quant_intro,[status(thm)],[54])).
% 0.13/0.41  tff(56,plain,
% 0.13/0.41      (![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2))) <=> ![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2)))),
% 0.13/0.41      inference(rewrite,[status(thm)],[])).
% 0.13/0.41  tff(57,plain,
% 0.13/0.41      (^[X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb))), ((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1))), ((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1)))), (((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) <=> ((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1)) & reliability(X, R2, T2)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1)) & reliability(X, R2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2))), (((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2)))), ((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2)) & accountability(X, A1, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2)) & accountability(X, A1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1))), ((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1)))), (((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) <=> ((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1)) & accountability(X, A2, T2)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1)) & accountability(X, A2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2))), (((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2)))), ((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) <=> ((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2)) & (~greater(Ta, T1))))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2)) & (~greater(Ta, T1))) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)))), ((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1))))), (((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1))) & greater(T2, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1))) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1))), (((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1)))), ((((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) & (~greater(T2, Tb))) <=> ((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1)) & (~greater(T2, Tb))))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1)) & (~greater(T2, Tb))) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))), ((((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) & (~greater(T2, Tb))) <=> (organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb))))), (((((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) & (~greater(T2, Tb))) => (greater(R1, R2) & greater(A1, A2))) <=> ((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb))) => (greater(R1, R2) & greater(A1, A2))))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb))) => (greater(R1, R2) & greater(A1, A2))) <=> ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2)))), (((((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) & (~greater(T2, Tb))) => (greater(R1, R2) & greater(A1, A2))) <=> ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2)))))),
% 0.13/0.41      inference(bind,[status(th)],[])).
% 0.13/0.41  tff(58,plain,
% 0.13/0.41      (![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) & (~greater(T2, Tb))) => (greater(R1, R2) & greater(A1, A2))) <=> ![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2)))),
% 0.13/0.41      inference(quant_intro,[status(thm)],[57])).
% 0.13/0.41  tff(59,axiom,(![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((((((((((organization(X, T1) & organization(X, T2)) & reorganization(X, Ta, Tb)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & (~greater(Ta, T1))) & greater(T2, T1)) & (~greater(T2, Tb))) => (greater(R1, R2) & greater(A1, A2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a6_FOL')).
% 0.13/0.41  tff(60,plain,
% 0.13/0.41      (![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2)))),
% 0.13/0.41      inference(modus_ponens,[status(thm)],[59, 58])).
% 0.13/0.41  tff(61,plain,
% 0.13/0.41      (![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2)))),
% 0.13/0.41      inference(modus_ponens,[status(thm)],[60, 56])).
% 0.13/0.41  tff(62,plain,(
% 0.13/0.41      ![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization(X, Ta, Tb) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & (~greater(Ta, T1)) & greater(T2, T1) & (~greater(T2, Tb)))) | (greater(R1, R2) & greater(A1, A2)))),
% 0.13/0.41      inference(skolemize,[status(sab)],[61])).
% 0.13/0.41  tff(63,plain,
% 0.13/0.41      (![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))),
% 0.13/0.41      inference(modus_ponens,[status(thm)],[62, 55])).
% 0.13/0.41  tff(64,plain,
% 0.13/0.41      (![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))),
% 0.13/0.41      inference(modus_ponens,[status(thm)],[63, 53])).
% 0.13/0.41  tff(65,plain,
% 0.13/0.41      (((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))) | (greater(Ta!4, T1!6) | greater(T2!5, Tb!3) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))) | (~reorganization(X!9, Ta!4, Tb!3)) | (~greater(T2!5, T1!6)))) <=> ((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))) | greater(Ta!4, T1!6) | greater(T2!5, Tb!3) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))) | (~reorganization(X!9, Ta!4, Tb!3)) | (~greater(T2!5, T1!6)))),
% 0.13/0.41      inference(rewrite,[status(thm)],[])).
% 0.13/0.41  tff(66,plain,
% 0.13/0.41      ((greater(T2!5, Tb!3) | greater(Ta!4, T1!6) | (~greater(T2!5, T1!6)) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reorganization(X!9, Ta!4, Tb!3)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))) <=> (greater(Ta!4, T1!6) | greater(T2!5, Tb!3) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))) | (~reorganization(X!9, Ta!4, Tb!3)) | (~greater(T2!5, T1!6)))),
% 0.13/0.41      inference(rewrite,[status(thm)],[])).
% 0.13/0.41  tff(67,plain,
% 0.13/0.41      (((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> ((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))),
% 0.13/0.41      inference(rewrite,[status(thm)],[])).
% 0.13/0.41  tff(68,plain,
% 0.13/0.41      ((~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))) <=> (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))),
% 0.13/0.41      inference(monotonicity,[status(thm)],[67])).
% 0.13/0.41  tff(69,plain,
% 0.13/0.41      ((greater(T2!5, Tb!3) | greater(Ta!4, T1!6) | (~greater(T2!5, T1!6)) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reorganization(X!9, Ta!4, Tb!3)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))) <=> (greater(T2!5, Tb!3) | greater(Ta!4, T1!6) | (~greater(T2!5, T1!6)) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reorganization(X!9, Ta!4, Tb!3)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))))),
% 0.13/0.41      inference(monotonicity,[status(thm)],[68])).
% 0.13/0.41  tff(70,plain,
% 0.13/0.41      ((greater(T2!5, Tb!3) | greater(Ta!4, T1!6) | (~greater(T2!5, T1!6)) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reorganization(X!9, Ta!4, Tb!3)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))))) <=> (greater(Ta!4, T1!6) | greater(T2!5, Tb!3) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))) | (~reorganization(X!9, Ta!4, Tb!3)) | (~greater(T2!5, T1!6)))),
% 0.13/0.41      inference(transitivity,[status(thm)],[69, 66])).
% 0.13/0.41  tff(71,plain,
% 0.13/0.41      (((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))) | (greater(T2!5, Tb!3) | greater(Ta!4, T1!6) | (~greater(T2!5, T1!6)) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reorganization(X!9, Ta!4, Tb!3)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))))) <=> ((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))) | (greater(Ta!4, T1!6) | greater(T2!5, Tb!3) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))) | (~reorganization(X!9, Ta!4, Tb!3)) | (~greater(T2!5, T1!6))))),
% 0.13/0.42      inference(monotonicity,[status(thm)],[70])).
% 0.13/0.42  tff(72,plain,
% 0.13/0.42      (((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))) | (greater(T2!5, Tb!3) | greater(Ta!4, T1!6) | (~greater(T2!5, T1!6)) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reorganization(X!9, Ta!4, Tb!3)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))))) <=> ((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))) | greater(Ta!4, T1!6) | greater(T2!5, Tb!3) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))) | (~reorganization(X!9, Ta!4, Tb!3)) | (~greater(T2!5, T1!6)))),
% 0.13/0.42      inference(transitivity,[status(thm)],[71, 65])).
% 0.13/0.42  tff(73,plain,
% 0.13/0.42      ((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))) | (greater(T2!5, Tb!3) | greater(Ta!4, T1!6) | (~greater(T2!5, T1!6)) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reorganization(X!9, Ta!4, Tb!3)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))))),
% 0.13/0.42      inference(quant_inst,[status(thm)],[])).
% 0.13/0.42  tff(74,plain,
% 0.13/0.42      ((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i, Ta: $i, Tb: $i] : (greater(T2, Tb) | greater(Ta, T1) | (~greater(T2, T1)) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization(X, Ta, Tb)) | (~reliability(X, R1, T1)) | (~reliability(X, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(X, A2, T2)) | (~((~greater(R1, R2)) | (~greater(A1, A2)))))) | greater(Ta!4, T1!6) | greater(T2!5, Tb!3) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))) | (~reorganization(X!9, Ta!4, Tb!3)) | (~greater(T2!5, T1!6))),
% 0.13/0.42      inference(modus_ponens,[status(thm)],[73, 72])).
% 0.13/0.42  tff(75,plain,
% 0.13/0.42      (~((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9))))),
% 0.13/0.42      inference(unit_resolution,[status(thm)],[74, 64, 39, 10, 51, 50, 49, 48, 47, 43, 38, 24])).
% 0.13/0.42  tff(76,plain,
% 0.13/0.42      (~greater(Rp1!8, Rp2!7)),
% 0.13/0.42      inference(or_elim,[status(thm)],[8])).
% 0.13/0.42  tff(77,plain,
% 0.13/0.42      ((((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7)) | ((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) | greater(Rp1!8, Rp2!7)),
% 0.13/0.42      inference(tautology,[status(thm)],[])).
% 0.13/0.42  tff(78,plain,
% 0.13/0.42      (((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7)),
% 0.13/0.42      inference(unit_resolution,[status(thm)],[77, 76, 75])).
% 0.13/0.42  tff(79,plain,
% 0.13/0.42      (reproducibility(X!9, Rp2!7, T2!5)),
% 0.13/0.42      inference(and_elim,[status(thm)],[9])).
% 0.13/0.42  tff(80,plain,
% 0.13/0.42      (reproducibility(X!9, Rp1!8, T1!6)),
% 0.13/0.42      inference(and_elim,[status(thm)],[9])).
% 0.13/0.42  tff(81,plain,
% 0.13/0.42      (^[X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : refl(((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))))),
% 0.13/0.42      inference(bind,[status(th)],[])).
% 0.13/0.42  tff(82,plain,
% 0.13/0.42      (![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))) <=> ![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))),
% 0.13/0.42      inference(quant_intro,[status(thm)],[81])).
% 0.13/0.42  tff(83,plain,
% 0.13/0.42      (^[X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2)) <=> (~((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))))), ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) <=> (~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))))))), rewrite((~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)))), ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))))), trans(trans(monotonicity(rewrite((greater(R2, R1) & greater(A2, A1)) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))), ((greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))) <=> (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))))), rewrite((greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))) <=> (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))), ((greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))) <=> (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))), rewrite((~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))) <=> (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))), ((greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))) <=> (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))), (((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> (((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))))), rewrite((((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))), (((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))))),
% 0.13/0.42      inference(bind,[status(th)],[])).
% 0.13/0.42  tff(84,plain,
% 0.13/0.42      (![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> ![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))),
% 0.13/0.42      inference(quant_intro,[status(thm)],[83])).
% 0.13/0.42  tff(85,plain,
% 0.13/0.42      (![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> ![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))),
% 0.13/0.42      inference(rewrite,[status(thm)],[])).
% 0.13/0.42  tff(86,plain,
% 0.13/0.42      (^[X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1))), ((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1)) & reliability(Y, R2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2))), ((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2)))), (((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) <=> ((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2)) & accountability(X, A1, T1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1))), (((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1)))), ((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1)) & accountability(Y, A2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2))), ((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2)))), (((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) <=> ((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1))), (((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1)))), ((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))), ((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2)))), (((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) => (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> ((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2)) => (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))))), rewrite(((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2)) => (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))), (((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) => (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))))),
% 0.13/0.42      inference(bind,[status(th)],[])).
% 0.13/0.42  tff(87,plain,
% 0.13/0.42      (![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) => (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> ![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))),
% 0.13/0.42      inference(quant_intro,[status(thm)],[86])).
% 0.13/0.42  tff(88,axiom,(![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) => (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a2_FOL')).
% 0.13/0.42  tff(89,plain,
% 0.13/0.42      (![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))),
% 0.13/0.42      inference(modus_ponens,[status(thm)],[88, 87])).
% 0.13/0.42  tff(90,plain,
% 0.13/0.42      (![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))),
% 0.13/0.42      inference(modus_ponens,[status(thm)],[89, 85])).
% 0.13/0.42  tff(91,plain,(
% 0.13/0.42      ![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))),
% 0.13/0.42      inference(skolemize,[status(sab)],[90])).
% 0.13/0.43  tff(92,plain,
% 0.13/0.43      (![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))),
% 0.13/0.43      inference(modus_ponens,[status(thm)],[91, 84])).
% 0.13/0.43  tff(93,plain,
% 0.13/0.43      (![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))),
% 0.13/0.43      inference(modus_ponens,[status(thm)],[92, 82])).
% 0.13/0.43  tff(94,plain,
% 0.13/0.43      (((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | ((~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7))))) <=> ((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7))))),
% 0.13/0.43      inference(rewrite,[status(thm)],[])).
% 0.13/0.43  tff(95,plain,
% 0.13/0.43      (((~organization(X!9, T2!5)) | (~organization(X!9, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7)))) <=> ((~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7))))),
% 0.13/0.43      inference(rewrite,[status(thm)],[])).
% 0.13/0.43  tff(96,plain,
% 0.13/0.43      ((~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7))) <=> (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7)))),
% 0.13/0.43      inference(rewrite,[status(thm)],[])).
% 0.13/0.43  tff(97,plain,
% 0.13/0.43      ((((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7)) <=> (((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7))),
% 0.13/0.43      inference(monotonicity,[status(thm)],[67])).
% 0.13/0.43  tff(98,plain,
% 0.13/0.43      ((~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7))) <=> (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7)))),
% 0.13/0.43      inference(monotonicity,[status(thm)],[97])).
% 0.13/0.43  tff(99,plain,
% 0.13/0.43      ((~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7))) <=> (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7)))),
% 0.13/0.43      inference(transitivity,[status(thm)],[98, 96])).
% 0.13/0.43  tff(100,plain,
% 0.13/0.43      (((~organization(X!9, T2!5)) | (~organization(X!9, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7)))) <=> ((~organization(X!9, T2!5)) | (~organization(X!9, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7))))),
% 0.13/0.43      inference(monotonicity,[status(thm)],[99])).
% 0.13/0.43  tff(101,plain,
% 0.13/0.43      (((~organization(X!9, T2!5)) | (~organization(X!9, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7)))) <=> ((~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7))))),
% 0.13/0.43      inference(transitivity,[status(thm)],[100, 95])).
% 0.13/0.43  tff(102,plain,
% 0.13/0.43      (((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | ((~organization(X!9, T2!5)) | (~organization(X!9, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7))))) <=> ((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | ((~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7)))))),
% 0.13/0.43      inference(monotonicity,[status(thm)],[101])).
% 0.13/0.43  tff(103,plain,
% 0.13/0.43      (((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | ((~organization(X!9, T2!5)) | (~organization(X!9, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7))))) <=> ((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7))))),
% 0.13/0.44      inference(transitivity,[status(thm)],[102, 94])).
% 0.13/0.44  tff(104,plain,
% 0.13/0.44      ((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | ((~organization(X!9, T2!5)) | (~organization(X!9, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7))))),
% 0.13/0.44      inference(quant_inst,[status(thm)],[])).
% 0.13/0.44  tff(105,plain,
% 0.13/0.44      ((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | (~organization(X!9, T1!6)) | (~organization(X!9, T2!5)) | (~reliability(X!9, tptp_fun_R_0(T1!6, X!9), T1!6)) | (~accountability(X!9, tptp_fun_A_1(T1!6, X!9), T1!6)) | (~reproducibility(X!9, Rp1!8, T1!6)) | (~reliability(X!9, tptp_fun_R_0(T2!5, X!9), T2!5)) | (~accountability(X!9, tptp_fun_A_1(T2!5, X!9), T2!5)) | (~reproducibility(X!9, Rp2!7, T2!5)) | (~(((~greater(tptp_fun_R_0(T1!6, X!9), tptp_fun_R_0(T2!5, X!9))) | (~greater(tptp_fun_A_1(T1!6, X!9), tptp_fun_A_1(T2!5, X!9)))) <=> greater(Rp1!8, Rp2!7)))),
% 0.13/0.44      inference(modus_ponens,[status(thm)],[104, 103])).
% 0.13/0.44  tff(106,plain,
% 0.13/0.44      ($false),
% 0.13/0.44      inference(unit_resolution,[status(thm)],[105, 93, 39, 10, 80, 79, 47, 43, 38, 24, 78])).
% 0.13/0.44  % SZS output end Proof
% 0.13/0.44  % E exiting
%------------------------------------------------------------------------------