%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT010+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n016.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 06:23:56 AM UTC 2026
% Result : Theorem 0.12s 0.39s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT010+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 11:52:19 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.39 % SZS status Theorem
% 0.12/0.39 % SZS output start Proof
% 0.12/0.39 tff(greater_type, type, (
% 0.12/0.39 greater: ( $i * $i ) > $o)).
% 0.12/0.39 tff(tptp_fun_R1_8_type, type, (
% 0.12/0.39 tptp_fun_R1_8: $i)).
% 0.12/0.39 tff(tptp_fun_R2_7_type, type, (
% 0.12/0.39 tptp_fun_R2_7: $i)).
% 0.12/0.39 tff(tptp_fun_A1_6_type, type, (
% 0.12/0.39 tptp_fun_A1_6: $i)).
% 0.12/0.39 tff(tptp_fun_A2_5_type, type, (
% 0.12/0.39 tptp_fun_A2_5: $i)).
% 0.12/0.39 tff(tptp_fun_Rp_0_type, type, (
% 0.12/0.39 tptp_fun_Rp_0: ( $i * $i ) > $i)).
% 0.12/0.39 tff(tptp_fun_X_11_type, type, (
% 0.12/0.39 tptp_fun_X_11: $i)).
% 0.12/0.39 tff(tptp_fun_T1_2_type, type, (
% 0.12/0.39 tptp_fun_T1_2: $i)).
% 0.12/0.39 tff(tptp_fun_Y_10_type, type, (
% 0.12/0.39 tptp_fun_Y_10: $i)).
% 0.12/0.39 tff(tptp_fun_T2_1_type, type, (
% 0.12/0.39 tptp_fun_T2_1: $i)).
% 0.12/0.39 tff(reproducibility_type, type, (
% 0.12/0.39 reproducibility: ( $i * $i * $i ) > $o)).
% 0.12/0.39 tff(organization_type, type, (
% 0.12/0.39 organization: ( $i * $i ) > $o)).
% 0.12/0.39 tff(tptp_fun_S1_4_type, type, (
% 0.12/0.39 tptp_fun_S1_4: $i)).
% 0.12/0.39 tff(tptp_fun_S2_3_type, type, (
% 0.12/0.39 tptp_fun_S2_3: $i)).
% 0.12/0.39 tff(size_type, type, (
% 0.12/0.39 size: ( $i * $i * $i ) > $o)).
% 0.12/0.39 tff(accountability_type, type, (
% 0.12/0.39 accountability: ( $i * $i * $i ) > $o)).
% 0.12/0.39 tff(reliability_type, type, (
% 0.12/0.39 reliability: ( $i * $i * $i ) > $o)).
% 0.12/0.39 tff(class_type, type, (
% 0.12/0.39 class: ( $i * $i * $i ) > $o)).
% 0.12/0.39 tff(tptp_fun_C_9_type, type, (
% 0.12/0.39 tptp_fun_C_9: $i)).
% 0.12/0.39 tff(reorganization_free_type, type, (
% 0.12/0.39 reorganization_free: ( $i * $i * $i ) > $o)).
% 0.12/0.39 tff(1,plain,
% 0.12/0.39 ((~![X: $i, Y: $i, C: $i, R1: $i, R2: $i, A1: $i, A2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | (greater(R2, R1) & greater(A2, A1)))) <=> (~![X: $i, Y: $i, C: $i, R1: $i, R2: $i, A1: $i, A2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | (greater(R2, R1) & greater(A2, A1))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(2,plain,
% 0.12/0.39 ((~![X: $i, Y: $i, C: $i, R1: $i, R2: $i, A1: $i, A2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (((((((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & greater(S2, S1)) => (greater(R2, R1) & greater(A2, A1)))) <=> (~![X: $i, Y: $i, C: $i, R1: $i, R2: $i, A1: $i, A2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | (greater(R2, R1) & greater(A2, A1))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(3,axiom,(~![X: $i, Y: $i, C: $i, R1: $i, R2: $i, A1: $i, A2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (((((((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & greater(S2, S1)) => (greater(R2, R1) & greater(A2, A1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t10_FOL')).
% 0.12/0.39 tff(4,plain,
% 0.12/0.39 (~![X: $i, Y: $i, C: $i, R1: $i, R2: $i, A1: $i, A2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | (greater(R2, R1) & greater(A2, A1)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.39 tff(5,plain,
% 0.12/0.39 (~![X: $i, Y: $i, C: $i, R1: $i, R2: $i, A1: $i, A2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | (greater(R2, R1) & greater(A2, A1)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.12/0.39 tff(6,plain,
% 0.12/0.39 (~![X: $i, Y: $i, C: $i, R1: $i, R2: $i, A1: $i, A2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | (greater(R2, R1) & greater(A2, A1)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.12/0.39 tff(7,plain,
% 0.12/0.39 (~![X: $i, Y: $i, C: $i, R1: $i, R2: $i, A1: $i, A2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | (greater(R2, R1) & greater(A2, A1)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.12/0.39 tff(8,plain,(
% 0.12/0.39 ~((~(organization(X!11, T1!2) & organization(Y!10, T2!1) & reorganization_free(X!11, T1!2, T1!2) & reorganization_free(Y!10, T2!1, T2!1) & class(X!11, C!9, T1!2) & class(Y!10, C!9, T2!1) & reliability(X!11, R1!8, T1!2) & reliability(Y!10, R2!7, T2!1) & accountability(X!11, A1!6, T1!2) & accountability(Y!10, A2!5, T2!1) & size(X!11, S1!4, T1!2) & size(Y!10, S2!3, T2!1) & greater(S2!3, S1!4))) | (greater(R2!7, R1!8) & greater(A2!5, A1!6)))),
% 0.12/0.39 inference(skolemize,[status(sab)],[7])).
% 0.12/0.39 tff(9,plain,
% 0.12/0.39 (organization(X!11, T1!2) & organization(Y!10, T2!1) & reorganization_free(X!11, T1!2, T1!2) & reorganization_free(Y!10, T2!1, T2!1) & class(X!11, C!9, T1!2) & class(Y!10, C!9, T2!1) & reliability(X!11, R1!8, T1!2) & reliability(Y!10, R2!7, T2!1) & accountability(X!11, A1!6, T1!2) & accountability(Y!10, A2!5, T2!1) & size(X!11, S1!4, T1!2) & size(Y!10, S2!3, T2!1) & greater(S2!3, S1!4)),
% 0.12/0.39 inference(or_elim,[status(thm)],[8])).
% 0.12/0.39 tff(10,plain,
% 0.12/0.39 (organization(Y!10, T2!1)),
% 0.12/0.39 inference(and_elim,[status(thm)],[9])).
% 0.12/0.39 tff(11,plain,
% 0.12/0.39 (^[X: $i, T: $i] : refl(((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T)) <=> ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T)))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(12,plain,
% 0.12/0.39 (![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[11])).
% 0.12/0.39 tff(13,plain,
% 0.12/0.39 (![X: $i, T: $i] : ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(14,plain,
% 0.12/0.39 (^[X: $i, T: $i] : rewrite((organization(X, T) => ?[Rp: $i] : reproducibility(X, Rp, T)) <=> ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T)))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(15,plain,
% 0.12/0.39 (![X: $i, T: $i] : (organization(X, T) => ?[Rp: $i] : reproducibility(X, Rp, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[14])).
% 0.12/0.39 tff(16,axiom,(![X: $i, T: $i] : (organization(X, T) => ?[Rp: $i] : reproducibility(X, Rp, T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp3')).
% 0.12/0.39 tff(17,plain,
% 0.12/0.39 (![X: $i, T: $i] : ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.12/0.39 tff(18,plain,
% 0.12/0.39 (![X: $i, T: $i] : ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.12/0.39 tff(19,plain,(
% 0.12/0.39 ![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))),
% 0.12/0.39 inference(skolemize,[status(sab)],[18])).
% 0.12/0.39 tff(20,plain,
% 0.12/0.39 (![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.12/0.39 tff(21,plain,
% 0.12/0.39 (((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | ((~organization(Y!10, T2!1)) | reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | (~organization(Y!10, T2!1)) | reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(22,plain,
% 0.12/0.39 ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | ((~organization(Y!10, T2!1)) | reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(23,plain,
% 0.12/0.39 ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | (~organization(Y!10, T2!1)) | reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.12/0.39 tff(24,plain,
% 0.12/0.39 (reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[23, 20, 10])).
% 0.12/0.39 tff(25,plain,
% 0.12/0.39 (organization(X!11, T1!2)),
% 0.12/0.39 inference(and_elim,[status(thm)],[9])).
% 0.12/0.39 tff(26,plain,
% 0.12/0.39 (((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | ((~organization(X!11, T1!2)) | reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | (~organization(X!11, T1!2)) | reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(27,plain,
% 0.12/0.39 ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | ((~organization(X!11, T1!2)) | reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(28,plain,
% 0.12/0.39 ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | (~organization(X!11, T1!2)) | reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.12/0.39 tff(29,plain,
% 0.12/0.39 (reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[28, 20, 25])).
% 0.12/0.39 tff(30,plain,
% 0.12/0.39 (accountability(Y!10, A2!5, T2!1)),
% 0.12/0.39 inference(and_elim,[status(thm)],[9])).
% 0.12/0.39 tff(31,plain,
% 0.12/0.39 (accountability(X!11, A1!6, T1!2)),
% 0.12/0.39 inference(and_elim,[status(thm)],[9])).
% 0.12/0.39 tff(32,plain,
% 0.12/0.39 (reliability(Y!10, R2!7, T2!1)),
% 0.12/0.39 inference(and_elim,[status(thm)],[9])).
% 0.12/0.39 tff(33,plain,
% 0.12/0.39 (reliability(X!11, R1!8, T1!2)),
% 0.12/0.39 inference(and_elim,[status(thm)],[9])).
% 0.12/0.39 tff(34,plain,
% 0.12/0.39 (^[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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(35,plain,
% 0.12/0.39 (![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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[34])).
% 0.12/0.39 tff(36,plain,
% 0.12/0.39 (^[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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, 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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1))))))), rewrite((~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1))))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, 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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1))))), 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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1))) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))))), rewrite((((~organization(X, T1)) | (~organization(Y, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1))) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(37,plain,
% 0.12/0.39 (![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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[36])).
% 0.12/0.39 tff(38,plain,
% 0.12/0.39 (![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))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(39,plain,
% 0.12/0.39 (^[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))))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(40,plain,
% 0.12/0.40 (![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))))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[39])).
% 0.12/0.40 tff(41,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')).
% 0.12/0.40 tff(42,plain,
% 0.12/0.40 (![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))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.12/0.40 tff(43,plain,
% 0.12/0.40 (![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))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.12/0.40 tff(44,plain,(
% 0.12/0.40 ![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))))),
% 0.12/0.40 inference(skolemize,[status(sab)],[43])).
% 0.12/0.40 tff(45,plain,
% 0.12/0.40 (![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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[44, 37])).
% 0.12/0.40 tff(46,plain,
% 0.12/0.40 (![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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[45, 35])).
% 0.12/0.40 tff(47,plain,
% 0.12/0.40 (((~![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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | ((~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~accountability(X!11, A1!6, T1!2)) | (~reliability(X!11, R1!8, T1!2)) | (~accountability(Y!10, A2!5, T2!1)) | (~reliability(Y!10, R2!7, T2!1)) | (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)))))) <=> ((~![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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | (~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~accountability(X!11, A1!6, T1!2)) | (~reliability(X!11, R1!8, T1!2)) | (~accountability(Y!10, A2!5, T2!1)) | (~reliability(Y!10, R2!7, T2!1)) | (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(48,plain,
% 0.12/0.40 (((~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~accountability(X!11, A1!6, T1!2)) | (~accountability(Y!10, A2!5, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~reliability(Y!10, R2!7, T2!1)) | (~reliability(X!11, R1!8, T1!2)) | (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11))))) <=> ((~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~accountability(X!11, A1!6, T1!2)) | (~reliability(X!11, R1!8, T1!2)) | (~accountability(Y!10, A2!5, T2!1)) | (~reliability(Y!10, R2!7, T2!1)) | (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(49,plain,
% 0.12/0.40 ((~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)))) <=> (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11))))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(50,plain,
% 0.12/0.40 ((((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11))) <=> (((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(51,plain,
% 0.12/0.40 ((~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)))) <=> (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11))))),
% 0.12/0.40 inference(monotonicity,[status(thm)],[50])).
% 0.12/0.40 tff(52,plain,
% 0.12/0.40 ((~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)))) <=> (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11))))),
% 0.12/0.40 inference(transitivity,[status(thm)],[51, 49])).
% 0.12/0.40 tff(53,plain,
% 0.12/0.40 (((~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~accountability(X!11, A1!6, T1!2)) | (~accountability(Y!10, A2!5, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~reliability(Y!10, R2!7, T2!1)) | (~reliability(X!11, R1!8, T1!2)) | (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11))))) <=> ((~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~accountability(X!11, A1!6, T1!2)) | (~accountability(Y!10, A2!5, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~reliability(Y!10, R2!7, T2!1)) | (~reliability(X!11, R1!8, T1!2)) | (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)))))),
% 0.12/0.40 inference(monotonicity,[status(thm)],[52])).
% 0.12/0.40 tff(54,plain,
% 0.12/0.40 (((~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~accountability(X!11, A1!6, T1!2)) | (~accountability(Y!10, A2!5, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~reliability(Y!10, R2!7, T2!1)) | (~reliability(X!11, R1!8, T1!2)) | (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11))))) <=> ((~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~accountability(X!11, A1!6, T1!2)) | (~reliability(X!11, R1!8, T1!2)) | (~accountability(Y!10, A2!5, T2!1)) | (~reliability(Y!10, R2!7, T2!1)) | (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)))))),
% 0.12/0.40 inference(transitivity,[status(thm)],[53, 48])).
% 0.12/0.40 tff(55,plain,
% 0.12/0.40 (((~![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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | ((~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~accountability(X!11, A1!6, T1!2)) | (~accountability(Y!10, A2!5, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~reliability(Y!10, R2!7, T2!1)) | (~reliability(X!11, R1!8, T1!2)) | (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)))))) <=> ((~![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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | ((~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~accountability(X!11, A1!6, T1!2)) | (~reliability(X!11, R1!8, T1!2)) | (~accountability(Y!10, A2!5, T2!1)) | (~reliability(Y!10, R2!7, T2!1)) | (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11))))))),
% 0.12/0.40 inference(monotonicity,[status(thm)],[54])).
% 0.12/0.40 tff(56,plain,
% 0.12/0.40 (((~![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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | ((~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~accountability(X!11, A1!6, T1!2)) | (~accountability(Y!10, A2!5, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~reliability(Y!10, R2!7, T2!1)) | (~reliability(X!11, R1!8, T1!2)) | (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)))))) <=> ((~![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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | (~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~accountability(X!11, A1!6, T1!2)) | (~reliability(X!11, R1!8, T1!2)) | (~accountability(Y!10, A2!5, T2!1)) | (~reliability(Y!10, R2!7, T2!1)) | (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)))))),
% 0.12/0.40 inference(transitivity,[status(thm)],[55, 47])).
% 0.12/0.40 tff(57,plain,
% 0.12/0.40 ((~![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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | ((~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~accountability(X!11, A1!6, T1!2)) | (~accountability(Y!10, A2!5, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~reliability(Y!10, R2!7, T2!1)) | (~reliability(X!11, R1!8, T1!2)) | (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)))))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(58,plain,
% 0.12/0.40 ((~![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)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~reliability(Y, R2, T2)) | (~reliability(X, R1, T1)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | (~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~accountability(X!11, A1!6, T1!2)) | (~reliability(X!11, R1!8, T1!2)) | (~accountability(Y!10, A2!5, T2!1)) | (~reliability(Y!10, R2!7, T2!1)) | (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11))))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.12/0.40 tff(59,plain,
% 0.12/0.40 (~(((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)))),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[58, 46, 25, 10, 33, 32, 31, 30, 29, 24])).
% 0.12/0.40 tff(60,plain,
% 0.12/0.40 (greater(S2!3, S1!4)),
% 0.12/0.40 inference(and_elim,[status(thm)],[9])).
% 0.12/0.40 tff(61,plain,
% 0.12/0.40 (size(Y!10, S2!3, T2!1)),
% 0.12/0.40 inference(and_elim,[status(thm)],[9])).
% 0.12/0.40 tff(62,plain,
% 0.12/0.40 (size(X!11, S1!4, T1!2)),
% 0.12/0.40 inference(and_elim,[status(thm)],[9])).
% 0.12/0.40 tff(63,plain,
% 0.12/0.40 (class(Y!10, C!9, T2!1)),
% 0.12/0.40 inference(and_elim,[status(thm)],[9])).
% 0.12/0.40 tff(64,plain,
% 0.12/0.40 (class(X!11, C!9, T1!2)),
% 0.12/0.40 inference(and_elim,[status(thm)],[9])).
% 0.12/0.40 tff(65,plain,
% 0.12/0.40 (reorganization_free(Y!10, T2!1, T2!1)),
% 0.12/0.40 inference(and_elim,[status(thm)],[9])).
% 0.12/0.40 tff(66,plain,
% 0.12/0.40 (reorganization_free(X!11, T1!2, T1!2)),
% 0.12/0.40 inference(and_elim,[status(thm)],[9])).
% 0.12/0.40 tff(67,plain,
% 0.12/0.40 (^[X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : refl((greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2))) <=> (greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(68,plain,
% 0.12/0.40 (![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2))) <=> ![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[67])).
% 0.12/0.40 tff(69,plain,
% 0.12/0.40 (^[X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1)) <=> (~((~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2))))), ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) <=> (~(~((~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2))))))), rewrite((~(~((~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2))))) <=> ((~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)))), ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) <=> ((~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2))))), (((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(Rp2, Rp1)) <=> (((~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2))) | greater(Rp2, Rp1)))), rewrite((((~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2))) | greater(Rp2, Rp1)) <=> (greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)))), (((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(Rp2, Rp1)) <=> (greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(70,plain,
% 0.12/0.40 (![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(Rp2, Rp1)) <=> ![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[69])).
% 0.12/0.40 tff(71,plain,
% 0.12/0.40 (![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(Rp2, Rp1)) <=> ![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(Rp2, Rp1))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(72,plain,
% 0.12/0.40 (^[X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1))), ((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2))), ((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2)))), (((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2)) & class(X, C, T1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1))), (((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1)))), ((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1)) & class(Y, C, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1)) & class(Y, C, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2))), ((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2)))), (((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & reproducibility(X, Rp1, T1)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2)) & reproducibility(X, Rp1, T1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2)) & reproducibility(X, Rp1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1))), (((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & reproducibility(X, Rp1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1)))), ((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))), ((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2)))), (((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & size(X, S1, T1)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2)) & size(X, S1, T1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2)) & size(X, S1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1))), (((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & size(X, S1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1)))), ((((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1)) & size(Y, S2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1)) & size(Y, S2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2))), ((((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2)))), (((((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & greater(S2, S1)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2)) & greater(S2, S1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2)) & greater(S2, S1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))), (((((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & greater(S2, S1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1)))), ((((((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & greater(S2, S1)) => greater(Rp2, Rp1)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1)) => greater(Rp2, Rp1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1)) => greater(Rp2, Rp1)) <=> ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(Rp2, Rp1))), ((((((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & greater(S2, S1)) => greater(Rp2, Rp1)) <=> ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(Rp2, Rp1))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(73,plain,
% 0.12/0.40 (![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (((((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & greater(S2, S1)) => greater(Rp2, Rp1)) <=> ![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(Rp2, Rp1))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[72])).
% 0.12/0.40 tff(74,axiom,(![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (((((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & class(X, C, T1)) & class(Y, C, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & size(X, S1, T1)) & size(Y, S2, T2)) & greater(S2, S1)) => greater(Rp2, Rp1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t9_FOL')).
% 0.12/0.40 tff(75,plain,
% 0.12/0.40 (![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(Rp2, Rp1))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.12/0.40 tff(76,plain,
% 0.12/0.40 (![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(Rp2, Rp1))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[75, 71])).
% 0.12/0.40 tff(77,plain,(
% 0.12/0.40 ![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & class(X, C, T1) & class(Y, C, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & size(X, S1, T1) & size(Y, S2, T2) & greater(S2, S1))) | greater(Rp2, Rp1))),
% 0.12/0.40 inference(skolemize,[status(sab)],[76])).
% 0.12/0.40 tff(78,plain,
% 0.12/0.40 (![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[77, 70])).
% 0.12/0.40 tff(79,plain,
% 0.12/0.40 (![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[78, 68])).
% 0.12/0.40 tff(80,plain,
% 0.12/0.40 (((~![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)))) | ((~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reorganization_free(X!11, T1!2, T1!2)) | (~class(X!11, C!9, T1!2)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~size(X!11, S1!4, T1!2)) | (~reorganization_free(Y!10, T2!1, T2!1)) | (~class(Y!10, C!9, T2!1)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~size(Y!10, S2!3, T2!1)) | greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)) | (~greater(S2!3, S1!4)))) <=> ((~![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)))) | (~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reorganization_free(X!11, T1!2, T1!2)) | (~class(X!11, C!9, T1!2)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~size(X!11, S1!4, T1!2)) | (~reorganization_free(Y!10, T2!1, T2!1)) | (~class(Y!10, C!9, T2!1)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~size(Y!10, S2!3, T2!1)) | greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)) | (~greater(S2!3, S1!4)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(81,plain,
% 0.12/0.40 ((greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)) | (~greater(S2!3, S1!4)) | (~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reorganization_free(X!11, T1!2, T1!2)) | (~reorganization_free(Y!10, T2!1, T2!1)) | (~class(X!11, C!9, T1!2)) | (~class(Y!10, C!9, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~size(X!11, S1!4, T1!2)) | (~size(Y!10, S2!3, T2!1))) <=> ((~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reorganization_free(X!11, T1!2, T1!2)) | (~class(X!11, C!9, T1!2)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~size(X!11, S1!4, T1!2)) | (~reorganization_free(Y!10, T2!1, T2!1)) | (~class(Y!10, C!9, T2!1)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~size(Y!10, S2!3, T2!1)) | greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)) | (~greater(S2!3, S1!4)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(82,plain,
% 0.12/0.40 (((~![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)))) | (greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)) | (~greater(S2!3, S1!4)) | (~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reorganization_free(X!11, T1!2, T1!2)) | (~reorganization_free(Y!10, T2!1, T2!1)) | (~class(X!11, C!9, T1!2)) | (~class(Y!10, C!9, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~size(X!11, S1!4, T1!2)) | (~size(Y!10, S2!3, T2!1)))) <=> ((~![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)))) | ((~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reorganization_free(X!11, T1!2, T1!2)) | (~class(X!11, C!9, T1!2)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~size(X!11, S1!4, T1!2)) | (~reorganization_free(Y!10, T2!1, T2!1)) | (~class(Y!10, C!9, T2!1)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~size(Y!10, S2!3, T2!1)) | greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)) | (~greater(S2!3, S1!4))))),
% 0.12/0.40 inference(monotonicity,[status(thm)],[81])).
% 0.12/0.40 tff(83,plain,
% 0.12/0.40 (((~![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)))) | (greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)) | (~greater(S2!3, S1!4)) | (~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reorganization_free(X!11, T1!2, T1!2)) | (~reorganization_free(Y!10, T2!1, T2!1)) | (~class(X!11, C!9, T1!2)) | (~class(Y!10, C!9, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~size(X!11, S1!4, T1!2)) | (~size(Y!10, S2!3, T2!1)))) <=> ((~![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)))) | (~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reorganization_free(X!11, T1!2, T1!2)) | (~class(X!11, C!9, T1!2)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~size(X!11, S1!4, T1!2)) | (~reorganization_free(Y!10, T2!1, T2!1)) | (~class(Y!10, C!9, T2!1)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~size(Y!10, S2!3, T2!1)) | greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)) | (~greater(S2!3, S1!4)))),
% 0.12/0.41 inference(transitivity,[status(thm)],[82, 80])).
% 0.12/0.41 tff(84,plain,
% 0.12/0.41 ((~![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)))) | (greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)) | (~greater(S2!3, S1!4)) | (~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reorganization_free(X!11, T1!2, T1!2)) | (~reorganization_free(Y!10, T2!1, T2!1)) | (~class(X!11, C!9, T1!2)) | (~class(Y!10, C!9, T2!1)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~size(X!11, S1!4, T1!2)) | (~size(Y!10, S2!3, T2!1)))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(85,plain,
% 0.12/0.41 ((~![X: $i, Y: $i, C: $i, Rp1: $i, Rp2: $i, S1: $i, S2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~greater(S2, S1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~class(X, C, T1)) | (~class(Y, C, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~size(X, S1, T1)) | (~size(Y, S2, T2)))) | (~organization(X!11, T1!2)) | (~organization(Y!10, T2!1)) | (~reorganization_free(X!11, T1!2, T1!2)) | (~class(X!11, C!9, T1!2)) | (~reproducibility(X!11, tptp_fun_Rp_0(T1!2, X!11), T1!2)) | (~size(X!11, S1!4, T1!2)) | (~reorganization_free(Y!10, T2!1, T2!1)) | (~class(Y!10, C!9, T2!1)) | (~reproducibility(Y!10, tptp_fun_Rp_0(T2!1, Y!10), T2!1)) | (~size(Y!10, S2!3, T2!1)) | greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)) | (~greater(S2!3, S1!4))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.12/0.41 tff(86,plain,
% 0.12/0.41 (greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[85, 79, 25, 10, 66, 65, 64, 63, 62, 61, 60, 29, 24])).
% 0.12/0.41 tff(87,plain,
% 0.12/0.41 ((((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11))) | (~((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6)))) | (~greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11)))),
% 0.12/0.41 inference(tautology,[status(thm)],[])).
% 0.12/0.41 tff(88,plain,
% 0.12/0.41 ((((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) <=> greater(tptp_fun_Rp_0(T2!1, Y!10), tptp_fun_Rp_0(T1!2, X!11))) | (~((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[87, 86])).
% 0.12/0.41 tff(89,plain,
% 0.12/0.41 (~((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6)))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[88, 59])).
% 0.12/0.41 tff(90,plain,
% 0.12/0.41 (((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) | greater(R2!7, R1!8)),
% 0.12/0.41 inference(tautology,[status(thm)],[])).
% 0.12/0.41 tff(91,plain,
% 0.12/0.41 (greater(R2!7, R1!8)),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[90, 89])).
% 0.12/0.41 tff(92,plain,
% 0.12/0.41 (((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))) | greater(A2!5, A1!6)),
% 0.12/0.41 inference(tautology,[status(thm)],[])).
% 0.12/0.41 tff(93,plain,
% 0.12/0.41 (greater(A2!5, A1!6)),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[92, 89])).
% 0.12/0.41 tff(94,plain,
% 0.12/0.41 ((~(~((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))))) <=> ((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6)))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(95,plain,
% 0.12/0.41 ((greater(R2!7, R1!8) & greater(A2!5, A1!6)) <=> (~((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(96,plain,
% 0.12/0.41 ((~(greater(R2!7, R1!8) & greater(A2!5, A1!6))) <=> (~(~((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6)))))),
% 0.12/0.41 inference(monotonicity,[status(thm)],[95])).
% 0.12/0.41 tff(97,plain,
% 0.12/0.41 ((~(greater(R2!7, R1!8) & greater(A2!5, A1!6))) <=> ((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6)))),
% 0.12/0.41 inference(transitivity,[status(thm)],[96, 94])).
% 0.12/0.41 tff(98,plain,
% 0.12/0.41 (~(greater(R2!7, R1!8) & greater(A2!5, A1!6))),
% 0.12/0.41 inference(or_elim,[status(thm)],[8])).
% 0.12/0.41 tff(99,plain,
% 0.12/0.41 ((~greater(R2!7, R1!8)) | (~greater(A2!5, A1!6))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.12/0.41 tff(100,plain,
% 0.12/0.41 ($false),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[99, 93, 91])).
% 0.12/0.41 % SZS output end Proof
% 0.12/0.41 % E exiting
%------------------------------------------------------------------------------