%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT001+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 06:23:53 AM UTC 2026
% Result : Theorem 0.12s 0.40s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT001+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.07/0.33 % Computer : n016.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Mon Sep 7 11:38:04 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.12/0.40 % SZS status Theorem
% 0.12/0.40 % SZS output start Proof
% 0.12/0.40 tff(greater_type, type, (
% 0.12/0.40 greater: ( $i * $i ) > $o)).
% 0.12/0.40 tff(tptp_fun_R_0_type, type, (
% 0.12/0.40 tptp_fun_R_0: ( $i * $i ) > $i)).
% 0.12/0.40 tff(tptp_fun_X_10_type, type, (
% 0.12/0.40 tptp_fun_X_10: $i)).
% 0.12/0.40 tff(tptp_fun_T1_8_type, type, (
% 0.12/0.40 tptp_fun_T1_8: $i)).
% 0.12/0.40 tff(tptp_fun_Y_9_type, type, (
% 0.12/0.40 tptp_fun_Y_9: $i)).
% 0.12/0.40 tff(tptp_fun_T2_7_type, type, (
% 0.12/0.40 tptp_fun_T2_7: $i)).
% 0.12/0.40 tff(tptp_fun_A_1_type, type, (
% 0.12/0.40 tptp_fun_A_1: ( $i * $i ) > $i)).
% 0.12/0.40 tff(tptp_fun_Rp_2_type, type, (
% 0.12/0.40 tptp_fun_Rp_2: ( $i * $i ) > $i)).
% 0.12/0.40 tff(accountability_type, type, (
% 0.12/0.40 accountability: ( $i * $i * $i ) > $o)).
% 0.12/0.40 tff(organization_type, type, (
% 0.12/0.40 organization: ( $i * $i ) > $o)).
% 0.12/0.40 tff(tptp_fun_I1_6_type, type, (
% 0.12/0.40 tptp_fun_I1_6: $i)).
% 0.12/0.40 tff(tptp_fun_I2_5_type, type, (
% 0.12/0.40 tptp_fun_I2_5: $i)).
% 0.12/0.40 tff(survival_chance_type, type, (
% 0.12/0.40 survival_chance: ( $i * $i * $i ) > $o)).
% 0.12/0.40 tff(tptp_fun_P2_3_type, type, (
% 0.12/0.40 tptp_fun_P2_3: $i)).
% 0.12/0.40 tff(tptp_fun_P1_4_type, type, (
% 0.12/0.40 tptp_fun_P1_4: $i)).
% 0.12/0.40 tff(inertia_type, type, (
% 0.12/0.40 inertia: ( $i * $i * $i ) > $o)).
% 0.12/0.40 tff(reorganization_free_type, type, (
% 0.12/0.40 reorganization_free: ( $i * $i * $i ) > $o)).
% 0.12/0.40 tff(reliability_type, type, (
% 0.12/0.40 reliability: ( $i * $i * $i ) > $o)).
% 0.12/0.40 tff(reproducibility_type, type, (
% 0.12/0.40 reproducibility: ( $i * $i * $i ) > $o)).
% 0.12/0.40 tff(1,plain,
% 0.12/0.40 ((~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1))) <=> (~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(2,plain,
% 0.12/0.40 ((~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & greater(I2, I1)) => greater(P2, P1))) <=> (~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(3,axiom,(~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : (((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & greater(I2, I1)) => greater(P2, P1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t1_FOL')).
% 0.12/0.40 tff(4,plain,
% 0.12/0.40 (~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.40 tff(5,plain,
% 0.12/0.40 (~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.12/0.40 tff(6,plain,
% 0.12/0.40 (~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.12/0.40 tff(7,plain,
% 0.12/0.40 (~![X: $i, Y: $i, T1: $i, T2: $i, I1: $i, I2: $i, P1: $i, P2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(I2, I1))) | greater(P2, P1))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.12/0.40 tff(8,plain,(
% 0.12/0.40 ~((~(organization(X!10, T1!8) & organization(Y!9, T2!7) & reorganization_free(X!10, T1!8, T1!8) & reorganization_free(Y!9, T2!7, T2!7) & inertia(X!10, I1!6, T1!8) & inertia(Y!9, I2!5, T2!7) & survival_chance(X!10, P1!4, T1!8) & survival_chance(Y!9, P2!3, T2!7) & greater(I2!5, I1!6))) | greater(P2!3, P1!4))),
% 0.12/0.40 inference(skolemize,[status(sab)],[7])).
% 0.12/0.40 tff(9,plain,
% 0.12/0.40 (organization(X!10, T1!8) & organization(Y!9, T2!7) & reorganization_free(X!10, T1!8, T1!8) & reorganization_free(Y!9, T2!7, T2!7) & inertia(X!10, I1!6, T1!8) & inertia(Y!9, I2!5, T2!7) & survival_chance(X!10, P1!4, T1!8) & survival_chance(Y!9, P2!3, T2!7) & greater(I2!5, I1!6)),
% 0.12/0.40 inference(or_elim,[status(thm)],[8])).
% 0.12/0.40 tff(10,plain,
% 0.12/0.40 (organization(Y!9, T2!7)),
% 0.12/0.40 inference(and_elim,[status(thm)],[9])).
% 0.12/0.40 tff(11,plain,
% 0.12/0.40 (^[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)))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(12,plain,
% 0.12/0.40 (![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))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[11])).
% 0.12/0.40 tff(13,plain,
% 0.12/0.40 (![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))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(14,plain,
% 0.12/0.40 (^[X: $i, T: $i] : rewrite((organization(X, T) => ?[A: $i] : accountability(X, A, T)) <=> ((~organization(X, T)) | ?[A: $i] : accountability(X, A, T)))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(15,plain,
% 0.12/0.40 (![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))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[14])).
% 0.12/0.40 tff(16,axiom,(![X: $i, T: $i] : (organization(X, T) => ?[A: $i] : accountability(X, A, T))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp2')).
% 0.12/0.40 tff(17,plain,
% 0.12/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | ?[A: $i] : accountability(X, A, T))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.12/0.40 tff(18,plain,
% 0.12/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | ?[A: $i] : accountability(X, A, T))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.12/0.40 tff(19,plain,(
% 0.12/0.40 ![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))),
% 0.12/0.40 inference(skolemize,[status(sab)],[18])).
% 0.12/0.40 tff(20,plain,
% 0.12/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.12/0.40 tff(21,plain,
% 0.12/0.40 (((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | ((~organization(Y!9, T2!7)) | accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | (~organization(Y!9, T2!7)) | accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(22,plain,
% 0.12/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | ((~organization(Y!9, T2!7)) | accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(23,plain,
% 0.12/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | (~organization(Y!9, T2!7)) | accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.12/0.40 tff(24,plain,
% 0.12/0.40 (accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[23, 20, 10])).
% 0.12/0.40 tff(25,plain,
% 0.12/0.40 (^[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)))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(26,plain,
% 0.12/0.40 (![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))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[25])).
% 0.12/0.40 tff(27,plain,
% 0.12/0.40 (![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))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(28,plain,
% 0.12/0.40 (^[X: $i, T: $i] : rewrite((organization(X, T) => ?[R: $i] : reliability(X, R, T)) <=> ((~organization(X, T)) | ?[R: $i] : reliability(X, R, T)))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(29,plain,
% 0.12/0.40 (![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))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[28])).
% 0.12/0.40 tff(30,axiom,(![X: $i, T: $i] : (organization(X, T) => ?[R: $i] : reliability(X, R, T))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp1')).
% 0.12/0.40 tff(31,plain,
% 0.12/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | ?[R: $i] : reliability(X, R, T))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.12/0.40 tff(32,plain,
% 0.12/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | ?[R: $i] : reliability(X, R, T))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[31, 27])).
% 0.12/0.40 tff(33,plain,(
% 0.12/0.40 ![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))),
% 0.12/0.40 inference(skolemize,[status(sab)],[32])).
% 0.12/0.40 tff(34,plain,
% 0.12/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[33, 26])).
% 0.12/0.40 tff(35,plain,
% 0.12/0.40 (((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | ((~organization(Y!9, T2!7)) | reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | (~organization(Y!9, T2!7)) | reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(36,plain,
% 0.12/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | ((~organization(Y!9, T2!7)) | reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(37,plain,
% 0.12/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | (~organization(Y!9, T2!7)) | reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.12/0.40 tff(38,plain,
% 0.12/0.40 (reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[37, 34, 10])).
% 0.12/0.40 tff(39,plain,
% 0.12/0.40 (^[X: $i, T: $i] : refl(((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_2(T, X), T)) <=> ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_2(T, X), T)))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(40,plain,
% 0.12/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_2(T, X), T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_2(T, X), T))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[39])).
% 0.12/0.40 tff(41,plain,
% 0.12/0.40 (![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))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(42,plain,
% 0.12/0.40 (^[X: $i, T: $i] : rewrite((organization(X, T) => ?[Rp: $i] : reproducibility(X, Rp, T)) <=> ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T)))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(43,plain,
% 0.12/0.40 (![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))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[42])).
% 0.12/0.40 tff(44,axiom,(![X: $i, T: $i] : (organization(X, T) => ?[Rp: $i] : reproducibility(X, Rp, T))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp3')).
% 0.12/0.40 tff(45,plain,
% 0.12/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.12/0.40 tff(46,plain,
% 0.12/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[45, 41])).
% 0.12/0.40 tff(47,plain,(
% 0.12/0.40 ![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_2(T, X), T))),
% 0.12/0.40 inference(skolemize,[status(sab)],[46])).
% 0.12/0.40 tff(48,plain,
% 0.12/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_2(T, X), T))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[47, 40])).
% 0.12/0.40 tff(49,plain,
% 0.12/0.40 (((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_2(T, X), T))) | ((~organization(Y!9, T2!7)) | reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_2(T, X), T))) | (~organization(Y!9, T2!7)) | reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(50,plain,
% 0.12/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_2(T, X), T))) | ((~organization(Y!9, T2!7)) | reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(51,plain,
% 0.12/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_2(T, X), T))) | (~organization(Y!9, T2!7)) | reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.12/0.40 tff(52,plain,
% 0.12/0.40 (reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[51, 48, 10])).
% 0.12/0.40 tff(53,plain,
% 0.12/0.40 (organization(X!10, T1!8)),
% 0.12/0.40 inference(and_elim,[status(thm)],[9])).
% 0.12/0.40 tff(54,plain,
% 0.12/0.40 (((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | ((~organization(X!10, T1!8)) | accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | (~organization(X!10, T1!8)) | accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(55,plain,
% 0.12/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | ((~organization(X!10, T1!8)) | accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(56,plain,
% 0.12/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | accountability(X, tptp_fun_A_1(T, X), T))) | (~organization(X!10, T1!8)) | accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.12/0.40 tff(57,plain,
% 0.12/0.40 (accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[56, 20, 53])).
% 0.12/0.40 tff(58,plain,
% 0.12/0.40 (((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | ((~organization(X!10, T1!8)) | reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | (~organization(X!10, T1!8)) | reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(59,plain,
% 0.12/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | ((~organization(X!10, T1!8)) | reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(60,plain,
% 0.12/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | reliability(X, tptp_fun_R_0(T, X), T))) | (~organization(X!10, T1!8)) | reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.12/0.40 tff(61,plain,
% 0.12/0.40 (reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[60, 34, 53])).
% 0.12/0.40 tff(62,plain,
% 0.12/0.40 (((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_2(T, X), T))) | ((~organization(X!10, T1!8)) | reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_2(T, X), T))) | (~organization(X!10, T1!8)) | reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(63,plain,
% 0.12/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_2(T, X), T))) | ((~organization(X!10, T1!8)) | reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8))),
% 0.12/0.40 inference(quant_inst,[status(thm)],[])).
% 0.12/0.40 tff(64,plain,
% 0.12/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_2(T, X), T))) | (~organization(X!10, T1!8)) | reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.12/0.40 tff(65,plain,
% 0.12/0.40 (reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)),
% 0.12/0.40 inference(unit_resolution,[status(thm)],[64, 48, 53])).
% 0.12/0.40 tff(66,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] : 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)))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(67,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(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))))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[66])).
% 0.12/0.40 tff(68,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] : 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))))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(69,plain,
% 0.12/0.41 (![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))))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[68])).
% 0.12/0.41 tff(70,plain,
% 0.12/0.41 (![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))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(71,plain,
% 0.12/0.41 (^[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))))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(72,plain,
% 0.12/0.41 (![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))))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[71])).
% 0.12/0.41 tff(73,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/sandbox2/benchmark/theBenchmark.p','a2_FOL')).
% 0.12/0.41 tff(74,plain,
% 0.12/0.41 (![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))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.12/0.41 tff(75,plain,
% 0.12/0.41 (![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))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[74, 70])).
% 0.12/0.41 tff(76,plain,(
% 0.12/0.41 ![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))))),
% 0.12/0.41 inference(skolemize,[status(sab)],[75])).
% 0.12/0.41 tff(77,plain,
% 0.12/0.41 (![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))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[76, 69])).
% 0.12/0.41 tff(78,plain,
% 0.12/0.41 (![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))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[77, 67])).
% 0.12/0.41 tff(79,plain,
% 0.12/0.41 (((~![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!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)))))) <=> ((~![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!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(80,plain,
% 0.12/0.41 (((~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10))))) <=> ((~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(81,plain,
% 0.12/0.41 ((~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)))) <=> (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(82,plain,
% 0.12/0.41 ((((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10))) <=> (((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(83,plain,
% 0.12/0.41 ((~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)))) <=> (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10))))),
% 0.12/0.41 inference(monotonicity,[status(thm)],[82])).
% 0.12/0.41 tff(84,plain,
% 0.12/0.41 ((~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)))) <=> (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10))))),
% 0.12/0.41 inference(transitivity,[status(thm)],[83, 81])).
% 0.12/0.41 tff(85,plain,
% 0.12/0.42 (((~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10))))) <=> ((~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)))))),
% 0.12/0.42 inference(monotonicity,[status(thm)],[84])).
% 0.12/0.42 tff(86,plain,
% 0.12/0.42 (((~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10))))) <=> ((~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)))))),
% 0.12/0.42 inference(transitivity,[status(thm)],[85, 80])).
% 0.12/0.42 tff(87,plain,
% 0.12/0.42 (((~![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))))) | ((~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)))))) <=> ((~![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!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10))))))),
% 0.12/0.42 inference(monotonicity,[status(thm)],[86])).
% 0.12/0.42 tff(88,plain,
% 0.12/0.42 (((~![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))))) | ((~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)))))) <=> ((~![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!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)))))),
% 0.12/0.42 inference(transitivity,[status(thm)],[87, 79])).
% 0.12/0.42 tff(89,plain,
% 0.12/0.42 ((~![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))))) | ((~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)))))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(90,plain,
% 0.12/0.42 ((~![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))))) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[89, 88])).
% 0.12/0.42 tff(91,plain,
% 0.12/0.42 (~(((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)))),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[90, 78, 53, 10, 65, 61, 57, 52, 38, 24])).
% 0.12/0.42 tff(92,plain,
% 0.12/0.42 (inertia(Y!9, I2!5, T2!7)),
% 0.12/0.42 inference(and_elim,[status(thm)],[9])).
% 0.12/0.42 tff(93,plain,
% 0.12/0.42 (inertia(X!10, I1!6, T1!8)),
% 0.12/0.42 inference(and_elim,[status(thm)],[9])).
% 0.12/0.42 tff(94,plain,
% 0.12/0.42 (reorganization_free(Y!9, T2!7, T2!7)),
% 0.12/0.42 inference(and_elim,[status(thm)],[9])).
% 0.12/0.42 tff(95,plain,
% 0.12/0.42 (reorganization_free(X!10, T1!8, T1!8)),
% 0.12/0.42 inference(and_elim,[status(thm)],[9])).
% 0.12/0.42 tff(96,plain,
% 0.12/0.42 (^[X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : refl(((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2))) <=> ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(97,plain,
% 0.12/0.42 (![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2))) <=> ![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[96])).
% 0.12/0.42 tff(98,plain,
% 0.12/0.42 (^[X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2)) <=> (~((~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2))))), ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))) <=> (~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2))))))), rewrite((~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2))))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)))), ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2))))), (((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))) | (greater(Rp2, Rp1) <=> greater(I2, I1))) <=> (((~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2))) | (greater(Rp2, Rp1) <=> greater(I2, I1))))), rewrite((((~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2))) | (greater(Rp2, Rp1) <=> greater(I2, I1))) <=> ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)))), (((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))) | (greater(Rp2, Rp1) <=> greater(I2, I1))) <=> ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(99,plain,
% 0.12/0.42 (![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))) | (greater(Rp2, Rp1) <=> greater(I2, I1))) <=> ![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[98])).
% 0.12/0.42 tff(100,plain,
% 0.12/0.42 (![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))) | (greater(Rp2, Rp1) <=> greater(I2, I1))) <=> ![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))) | (greater(Rp2, Rp1) <=> greater(I2, I1)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(101,plain,
% 0.12/0.42 (^[X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : 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)) & reproducibility(X, Rp1, T1)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2)) & reproducibility(X, Rp1, T1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2)) & reproducibility(X, Rp1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1))), (((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & reproducibility(X, Rp1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1)))), ((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, 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) & 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) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, 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)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, 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)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & inertia(X, I1, T1)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2)) & inertia(X, I1, T1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2)) & inertia(X, I1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1))), (((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & inertia(X, I1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1)))), ((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1)) & inertia(Y, I2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))), ((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2)))), (((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) => (greater(Rp2, Rp1) <=> greater(I2, I1))) <=> ((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2)) => (greater(Rp2, Rp1) <=> greater(I2, I1))))), rewrite(((organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2)) => (greater(Rp2, Rp1) <=> greater(I2, I1))) <=> ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))) | (greater(Rp2, Rp1) <=> greater(I2, I1)))), (((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) => (greater(Rp2, Rp1) <=> greater(I2, I1))) <=> ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))) | (greater(Rp2, Rp1) <=> greater(I2, I1)))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(102,plain,
% 0.12/0.42 (![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) => (greater(Rp2, Rp1) <=> greater(I2, I1))) <=> ![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))) | (greater(Rp2, Rp1) <=> greater(I2, I1)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[101])).
% 0.12/0.42 tff(103,axiom,(![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((((((((organization(X, T1) & organization(Y, T2)) & reorganization_free(X, T1, T1)) & reorganization_free(Y, T2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) & inertia(X, I1, T1)) & inertia(Y, I2, T2)) => (greater(Rp2, Rp1) <=> greater(I2, I1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a3_FOL')).
% 0.12/0.42 tff(104,plain,
% 0.12/0.42 (![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))) | (greater(Rp2, Rp1) <=> greater(I2, I1)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.12/0.43 tff(105,plain,
% 0.12/0.43 (![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))) | (greater(Rp2, Rp1) <=> greater(I2, I1)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[104, 100])).
% 0.12/0.43 tff(106,plain,(
% 0.12/0.43 ![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reorganization_free(X, T1, T1) & reorganization_free(Y, T2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2) & inertia(X, I1, T1) & inertia(Y, I2, T2))) | (greater(Rp2, Rp1) <=> greater(I2, I1)))),
% 0.12/0.43 inference(skolemize,[status(sab)],[105])).
% 0.12/0.43 tff(107,plain,
% 0.12/0.43 (![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[106, 99])).
% 0.12/0.43 tff(108,plain,
% 0.12/0.43 (![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[107, 97])).
% 0.12/0.43 tff(109,plain,
% 0.12/0.43 (((~![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)))) | ((~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reorganization_free(X!10, T1!8, T1!8)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~inertia(X!10, I1!6, T1!8)) | (~reorganization_free(Y!9, T2!7, T2!7)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~inertia(Y!9, I2!5, T2!7)) | (greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)) <=> greater(I2!5, I1!6)))) <=> ((~![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)))) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reorganization_free(X!10, T1!8, T1!8)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~inertia(X!10, I1!6, T1!8)) | (~reorganization_free(Y!9, T2!7, T2!7)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~inertia(Y!9, I2!5, T2!7)) | (greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)) <=> greater(I2!5, I1!6)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(110,plain,
% 0.12/0.43 (((greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)) <=> greater(I2!5, I1!6)) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reorganization_free(X!10, T1!8, T1!8)) | (~reorganization_free(Y!9, T2!7, T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~inertia(X!10, I1!6, T1!8)) | (~inertia(Y!9, I2!5, T2!7))) <=> ((~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reorganization_free(X!10, T1!8, T1!8)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~inertia(X!10, I1!6, T1!8)) | (~reorganization_free(Y!9, T2!7, T2!7)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~inertia(Y!9, I2!5, T2!7)) | (greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)) <=> greater(I2!5, I1!6)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(111,plain,
% 0.12/0.43 (((~![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)))) | ((greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)) <=> greater(I2!5, I1!6)) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reorganization_free(X!10, T1!8, T1!8)) | (~reorganization_free(Y!9, T2!7, T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~inertia(X!10, I1!6, T1!8)) | (~inertia(Y!9, I2!5, T2!7)))) <=> ((~![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)))) | ((~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reorganization_free(X!10, T1!8, T1!8)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~inertia(X!10, I1!6, T1!8)) | (~reorganization_free(Y!9, T2!7, T2!7)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~inertia(Y!9, I2!5, T2!7)) | (greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)) <=> greater(I2!5, I1!6))))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[110])).
% 0.12/0.43 tff(112,plain,
% 0.12/0.43 (((~![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)))) | ((greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)) <=> greater(I2!5, I1!6)) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reorganization_free(X!10, T1!8, T1!8)) | (~reorganization_free(Y!9, T2!7, T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~inertia(X!10, I1!6, T1!8)) | (~inertia(Y!9, I2!5, T2!7)))) <=> ((~![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)))) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reorganization_free(X!10, T1!8, T1!8)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~inertia(X!10, I1!6, T1!8)) | (~reorganization_free(Y!9, T2!7, T2!7)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~inertia(Y!9, I2!5, T2!7)) | (greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)) <=> greater(I2!5, I1!6)))),
% 0.12/0.43 inference(transitivity,[status(thm)],[111, 109])).
% 0.12/0.43 tff(113,plain,
% 0.12/0.43 ((~![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)))) | ((greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)) <=> greater(I2!5, I1!6)) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reorganization_free(X!10, T1!8, T1!8)) | (~reorganization_free(Y!9, T2!7, T2!7)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~inertia(X!10, I1!6, T1!8)) | (~inertia(Y!9, I2!5, T2!7)))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(114,plain,
% 0.12/0.43 ((~![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)))) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reorganization_free(X!10, T1!8, T1!8)) | (~reproducibility(X!10, tptp_fun_Rp_2(T1!8, X!10), T1!8)) | (~inertia(X!10, I1!6, T1!8)) | (~reorganization_free(Y!9, T2!7, T2!7)) | (~reproducibility(Y!9, tptp_fun_Rp_2(T2!7, Y!9), T2!7)) | (~inertia(Y!9, I2!5, T2!7)) | (greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)) <=> greater(I2!5, I1!6))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.12/0.43 tff(115,plain,
% 0.12/0.43 (greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)) <=> greater(I2!5, I1!6)),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[114, 108, 53, 10, 95, 94, 93, 92, 65, 52])).
% 0.12/0.43 tff(116,plain,
% 0.12/0.43 (greater(I2!5, I1!6)),
% 0.12/0.43 inference(and_elim,[status(thm)],[9])).
% 0.12/0.43 tff(117,plain,
% 0.12/0.43 ((~(greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)) <=> greater(I2!5, I1!6))) | greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)) | (~greater(I2!5, I1!6))),
% 0.12/0.43 inference(tautology,[status(thm)],[])).
% 0.12/0.43 tff(118,plain,
% 0.12/0.43 ((~(greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)) <=> greater(I2!5, I1!6))) | greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[117, 116])).
% 0.12/0.43 tff(119,plain,
% 0.12/0.43 (greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[118, 115])).
% 0.12/0.43 tff(120,plain,
% 0.12/0.43 ((((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10))) | (~((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10))))) | (~greater(tptp_fun_Rp_2(T2!7, Y!9), tptp_fun_Rp_2(T1!8, X!10)))),
% 0.12/0.43 inference(tautology,[status(thm)],[])).
% 0.12/0.43 tff(121,plain,
% 0.12/0.43 (~((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10))))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[120, 119, 91])).
% 0.12/0.43 tff(122,plain,
% 0.12/0.43 (((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) | greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))),
% 0.12/0.43 inference(tautology,[status(thm)],[])).
% 0.12/0.43 tff(123,plain,
% 0.12/0.43 (greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[122, 121])).
% 0.12/0.43 tff(124,plain,
% 0.12/0.43 (((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) | greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10))),
% 0.12/0.43 inference(tautology,[status(thm)],[])).
% 0.12/0.43 tff(125,plain,
% 0.12/0.43 (greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[124, 121])).
% 0.12/0.43 tff(126,plain,
% 0.12/0.43 (~greater(P2!3, P1!4)),
% 0.12/0.43 inference(or_elim,[status(thm)],[8])).
% 0.12/0.43 tff(127,plain,
% 0.12/0.43 (survival_chance(Y!9, P2!3, T2!7)),
% 0.12/0.43 inference(and_elim,[status(thm)],[9])).
% 0.12/0.43 tff(128,plain,
% 0.12/0.43 (survival_chance(X!10, P1!4, T1!8)),
% 0.12/0.43 inference(and_elim,[status(thm)],[9])).
% 0.12/0.43 tff(129,plain,
% 0.12/0.43 (^[X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : refl((greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1))) <=> (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(130,plain,
% 0.12/0.43 (![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1))) <=> ![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[129])).
% 0.12/0.43 tff(131,plain,
% 0.12/0.43 (^[X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $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) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & 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)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~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) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & 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)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~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)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~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)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~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) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & 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)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~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) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(R2, R1) & greater(A2, A1))) | greater(P2, P1)) <=> (((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1))) | greater(P2, P1)))), rewrite((((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1))) | greater(P2, P1)) <=> (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~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) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(R2, R1) & greater(A2, A1))) | greater(P2, P1)) <=> (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1)))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(132,plain,
% 0.12/0.44 (![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(R2, R1) & greater(A2, A1))) | greater(P2, P1)) <=> ![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1)))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[131])).
% 0.12/0.44 tff(133,plain,
% 0.12/0.44 (![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(R2, R1) & greater(A2, A1))) | greater(P2, P1)) <=> ![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(R2, R1) & greater(A2, A1))) | greater(P2, P1))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(134,plain,
% 0.12/0.44 (^[X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(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)) & survival_chance(X, P1, T1)) <=> ((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2)) & survival_chance(X, P1, T1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2)) & survival_chance(X, P1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1))), (((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & survival_chance(X, P1, T1)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1)))), ((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) <=> ((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)))), rewrite(((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2))), ((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2)))), (((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & greater(R2, R1)) <=> ((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2)) & greater(R2, R1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2)) & greater(R2, R1)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(R2, R1))), (((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & greater(R2, R1)) <=> (organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(R2, R1)))), ((((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & 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) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & 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) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & 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) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & 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)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & 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) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & 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)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & greater(R2, R1)) & greater(A2, A1)) => greater(P2, P1)) <=> ((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(R2, R1) & greater(A2, A1)) => greater(P2, P1)))), rewrite(((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(R2, R1) & greater(A2, A1)) => greater(P2, P1)) <=> ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(R2, R1) & greater(A2, A1))) | greater(P2, P1))), (((((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & greater(R2, R1)) & greater(A2, A1)) => greater(P2, P1)) <=> ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(R2, R1) & greater(A2, A1))) | greater(P2, P1))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(135,plain,
% 0.12/0.44 (![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : ((((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & greater(R2, R1)) & greater(A2, A1)) => greater(P2, P1)) <=> ![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(R2, R1) & greater(A2, A1))) | greater(P2, P1))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[134])).
% 0.12/0.44 tff(136,axiom,(![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : ((((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & survival_chance(X, P1, T1)) & survival_chance(Y, P2, T2)) & greater(R2, R1)) & greater(A2, A1)) => greater(P2, P1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a1_FOL')).
% 0.12/0.44 tff(137,plain,
% 0.12/0.44 (![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(R2, R1) & greater(A2, A1))) | greater(P2, P1))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.12/0.44 tff(138,plain,
% 0.12/0.44 (![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(R2, R1) & greater(A2, A1))) | greater(P2, P1))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[137, 133])).
% 0.12/0.44 tff(139,plain,(
% 0.12/0.44 ![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & survival_chance(X, P1, T1) & survival_chance(Y, P2, T2) & greater(R2, R1) & greater(A2, A1))) | greater(P2, P1))),
% 0.12/0.44 inference(skolemize,[status(sab)],[138])).
% 0.12/0.44 tff(140,plain,
% 0.12/0.44 (![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[139, 132])).
% 0.12/0.44 tff(141,plain,
% 0.12/0.44 (![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[140, 130])).
% 0.12/0.44 tff(142,plain,
% 0.12/0.44 (((~![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1)))) | (greater(P2!3, P1!4) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10))) | (~survival_chance(X!10, P1!4, T1!8)) | (~survival_chance(Y!9, P2!3, T2!7)))) <=> ((~![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1)))) | greater(P2!3, P1!4) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10))) | (~survival_chance(X!10, P1!4, T1!8)) | (~survival_chance(Y!9, P2!3, T2!7)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(143,plain,
% 0.12/0.44 ((greater(P2!3, P1!4) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~survival_chance(X!10, P1!4, T1!8)) | (~survival_chance(Y!9, P2!3, T2!7)) | (~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))) <=> (greater(P2!3, P1!4) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10))) | (~survival_chance(X!10, P1!4, T1!8)) | (~survival_chance(Y!9, P2!3, T2!7)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(144,plain,
% 0.12/0.44 (((~![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1)))) | (greater(P2!3, P1!4) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~survival_chance(X!10, P1!4, T1!8)) | (~survival_chance(Y!9, P2!3, T2!7)) | (~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10))))) <=> ((~![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1)))) | (greater(P2!3, P1!4) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10))) | (~survival_chance(X!10, P1!4, T1!8)) | (~survival_chance(Y!9, P2!3, T2!7))))),
% 0.12/0.45 inference(monotonicity,[status(thm)],[143])).
% 0.12/0.45 tff(145,plain,
% 0.12/0.45 (((~![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1)))) | (greater(P2!3, P1!4) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~survival_chance(X!10, P1!4, T1!8)) | (~survival_chance(Y!9, P2!3, T2!7)) | (~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10))))) <=> ((~![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1)))) | greater(P2!3, P1!4) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10))) | (~survival_chance(X!10, P1!4, T1!8)) | (~survival_chance(Y!9, P2!3, T2!7)))),
% 0.12/0.45 inference(transitivity,[status(thm)],[144, 142])).
% 0.12/0.45 tff(146,plain,
% 0.12/0.45 ((~![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1)))) | (greater(P2!3, P1!4) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~survival_chance(X!10, P1!4, T1!8)) | (~survival_chance(Y!9, P2!3, T2!7)) | (~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10))))),
% 0.12/0.45 inference(quant_inst,[status(thm)],[])).
% 0.12/0.45 tff(147,plain,
% 0.12/0.45 ((~![X: $i, Y: $i, R1: $i, R2: $i, A1: $i, A2: $i, P1: $i, P2: $i, T1: $i, T2: $i] : (greater(P2, P1) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~survival_chance(X, P1, T1)) | (~survival_chance(Y, P2, T2)) | (~greater(R2, R1)) | (~greater(A2, A1)))) | greater(P2!3, P1!4) | (~organization(X!10, T1!8)) | (~organization(Y!9, T2!7)) | (~reliability(X!10, tptp_fun_R_0(T1!8, X!10), T1!8)) | (~accountability(X!10, tptp_fun_A_1(T1!8, X!10), T1!8)) | (~reliability(Y!9, tptp_fun_R_0(T2!7, Y!9), T2!7)) | (~accountability(Y!9, tptp_fun_A_1(T2!7, Y!9), T2!7)) | (~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10))) | (~survival_chance(X!10, P1!4, T1!8)) | (~survival_chance(Y!9, P2!3, T2!7))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[146, 145])).
% 0.12/0.45 tff(148,plain,
% 0.12/0.45 ((~greater(tptp_fun_R_0(T2!7, Y!9), tptp_fun_R_0(T1!8, X!10))) | (~greater(tptp_fun_A_1(T2!7, Y!9), tptp_fun_A_1(T1!8, X!10)))),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[147, 141, 53, 10, 128, 127, 126, 61, 57, 38, 24])).
% 0.12/0.45 tff(149,plain,
% 0.12/0.45 ($false),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[148, 125, 123])).
% 0.12/0.45 % SZS output end Proof
% 0.12/0.45 % E exiting
%------------------------------------------------------------------------------