%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT006+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n029.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 06:23:54 AM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT006+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.07/0.34 % Computer : n029.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 7 11:44:13 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.13/0.40 % SZS status Theorem
% 0.13/0.40 % SZS output start Proof
% 0.13/0.40 tff(greater_type, type, (
% 0.13/0.40 greater: ( $i * $i ) > $o)).
% 0.13/0.40 tff(tptp_fun_R1_6_type, type, (
% 0.13/0.40 tptp_fun_R1_6: $i)).
% 0.13/0.40 tff(tptp_fun_R2_5_type, type, (
% 0.13/0.40 tptp_fun_R2_5: $i)).
% 0.13/0.40 tff(tptp_fun_A1_4_type, type, (
% 0.13/0.40 tptp_fun_A1_4: $i)).
% 0.13/0.40 tff(tptp_fun_A2_3_type, type, (
% 0.13/0.40 tptp_fun_A2_3: $i)).
% 0.13/0.40 tff(tptp_fun_Rp_0_type, type, (
% 0.13/0.40 tptp_fun_Rp_0: ( $i * $i ) > $i)).
% 0.13/0.40 tff(tptp_fun_X_7_type, type, (
% 0.13/0.40 tptp_fun_X_7: $i)).
% 0.13/0.40 tff(tptp_fun_T1_2_type, type, (
% 0.13/0.40 tptp_fun_T1_2: $i)).
% 0.13/0.40 tff(tptp_fun_T2_1_type, type, (
% 0.13/0.40 tptp_fun_T2_1: $i)).
% 0.13/0.40 tff(reproducibility_type, type, (
% 0.13/0.40 reproducibility: ( $i * $i * $i ) > $o)).
% 0.13/0.40 tff(organization_type, type, (
% 0.13/0.40 organization: ( $i * $i ) > $o)).
% 0.13/0.40 tff(accountability_type, type, (
% 0.13/0.40 accountability: ( $i * $i * $i ) > $o)).
% 0.13/0.40 tff(reliability_type, type, (
% 0.13/0.40 reliability: ( $i * $i * $i ) > $o)).
% 0.13/0.40 tff(reorganization_free_type, type, (
% 0.13/0.40 reorganization_free: ( $i * $i * $i ) > $o)).
% 0.13/0.40 tff(1,plain,
% 0.13/0.40 ((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & greater(T2, T1))) | (greater(R2, R1) & greater(A2, A1)))) <=> (~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & greater(T2, T1))) | (greater(R2, R1) & greater(A2, A1))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(2,plain,
% 0.13/0.40 ((~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i] : ((((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & greater(T2, T1)) => (greater(R2, R1) & greater(A2, A1)))) <=> (~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & greater(T2, T1))) | (greater(R2, R1) & greater(A2, A1))))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(3,axiom,(~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i] : ((((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & reliability(X, R1, T1)) & reliability(X, R2, T2)) & accountability(X, A1, T1)) & accountability(X, A2, T2)) & greater(T2, T1)) => (greater(R2, R1) & greater(A2, A1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t6_FOL')).
% 0.13/0.40 tff(4,plain,
% 0.13/0.40 (~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & greater(T2, T1))) | (greater(R2, R1) & greater(A2, A1)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.13/0.40 tff(5,plain,
% 0.13/0.40 (~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & greater(T2, T1))) | (greater(R2, R1) & greater(A2, A1)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.13/0.40 tff(6,plain,
% 0.13/0.40 (~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & greater(T2, T1))) | (greater(R2, R1) & greater(A2, A1)))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.13/0.40 tff(7,plain,
% 0.13/0.40 (~![X: $i, R1: $i, R2: $i, A1: $i, A2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reliability(X, R1, T1) & reliability(X, R2, T2) & accountability(X, A1, T1) & accountability(X, A2, T2) & greater(T2, T1))) | (greater(R2, R1) & greater(A2, A1)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.13/0.41 tff(8,plain,(
% 0.13/0.41 ~((~(organization(X!7, T1!2) & organization(X!7, T2!1) & reorganization_free(X!7, T1!2, T2!1) & reliability(X!7, R1!6, T1!2) & reliability(X!7, R2!5, T2!1) & accountability(X!7, A1!4, T1!2) & accountability(X!7, A2!3, T2!1) & greater(T2!1, T1!2))) | (greater(R2!5, R1!6) & greater(A2!3, A1!4)))),
% 0.13/0.41 inference(skolemize,[status(sab)],[7])).
% 0.13/0.41 tff(9,plain,
% 0.13/0.41 (organization(X!7, T1!2) & organization(X!7, T2!1) & reorganization_free(X!7, T1!2, T2!1) & reliability(X!7, R1!6, T1!2) & reliability(X!7, R2!5, T2!1) & accountability(X!7, A1!4, T1!2) & accountability(X!7, A2!3, T2!1) & greater(T2!1, T1!2)),
% 0.13/0.41 inference(or_elim,[status(thm)],[8])).
% 0.13/0.41 tff(10,plain,
% 0.13/0.41 (organization(X!7, T2!1)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(11,plain,
% 0.13/0.41 (^[X: $i, T: $i] : refl(((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T)) <=> ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T)))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(12,plain,
% 0.13/0.41 (![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[11])).
% 0.13/0.41 tff(13,plain,
% 0.13/0.41 (![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))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(14,plain,
% 0.13/0.41 (^[X: $i, T: $i] : rewrite((organization(X, T) => ?[Rp: $i] : reproducibility(X, Rp, T)) <=> ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T)))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(15,plain,
% 0.13/0.41 (![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))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[14])).
% 0.13/0.41 tff(16,axiom,(![X: $i, T: $i] : (organization(X, T) => ?[Rp: $i] : reproducibility(X, Rp, T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp3')).
% 0.13/0.41 tff(17,plain,
% 0.13/0.41 (![X: $i, T: $i] : ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.13/0.41 tff(18,plain,
% 0.13/0.41 (![X: $i, T: $i] : ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.13/0.41 tff(19,plain,(
% 0.13/0.41 ![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))),
% 0.13/0.41 inference(skolemize,[status(sab)],[18])).
% 0.13/0.41 tff(20,plain,
% 0.13/0.41 (![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.13/0.41 tff(21,plain,
% 0.13/0.41 (((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | ((~organization(X!7, T2!1)) | reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | (~organization(X!7, T2!1)) | reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(22,plain,
% 0.13/0.41 ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | ((~organization(X!7, T2!1)) | reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1))),
% 0.13/0.41 inference(quant_inst,[status(thm)],[])).
% 0.13/0.41 tff(23,plain,
% 0.13/0.41 ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | (~organization(X!7, T2!1)) | reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.13/0.41 tff(24,plain,
% 0.13/0.41 (reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[23, 20, 10])).
% 0.13/0.41 tff(25,plain,
% 0.13/0.41 (organization(X!7, T1!2)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(26,plain,
% 0.13/0.41 (((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | ((~organization(X!7, T1!2)) | reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | (~organization(X!7, T1!2)) | reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(27,plain,
% 0.13/0.41 ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | ((~organization(X!7, T1!2)) | reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2))),
% 0.13/0.41 inference(quant_inst,[status(thm)],[])).
% 0.13/0.41 tff(28,plain,
% 0.13/0.41 ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | (~organization(X!7, T1!2)) | reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.13/0.41 tff(29,plain,
% 0.13/0.41 (reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[28, 20, 25])).
% 0.13/0.41 tff(30,plain,
% 0.13/0.41 (accountability(X!7, A2!3, T2!1)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(31,plain,
% 0.13/0.41 (accountability(X!7, A1!4, T1!2)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(32,plain,
% 0.13/0.41 (reliability(X!7, R2!5, T2!1)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(33,plain,
% 0.13/0.41 (reliability(X!7, R1!6, T1!2)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(34,plain,
% 0.13/0.41 (^[X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : refl(((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(35,plain,
% 0.13/0.41 (![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)))) <=> ![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[34])).
% 0.13/0.41 tff(36,plain,
% 0.13/0.41 (^[X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2)) <=> (~((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))))), ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) <=> (~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))))))), rewrite((~(~((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)))), ((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))))), trans(trans(monotonicity(rewrite((greater(R2, R1) & greater(A2, A1)) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))), ((greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))) <=> (greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))))), rewrite((greater(Rp2, Rp1) <=> (~((~greater(R2, R1)) | (~greater(A2, A1))))) <=> (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))), ((greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))) <=> (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))), rewrite((~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))) <=> (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))), ((greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))) <=> (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))), (((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> (((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))))), rewrite((((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2))) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1)))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))), (((~(organization(X, T1) & organization(Y, T2) & reliability(X, R1, T1) & reliability(Y, R2, T2) & accountability(X, A1, T1) & accountability(Y, A2, T2) & reproducibility(X, Rp1, T1) & reproducibility(Y, Rp2, T2))) | (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1)))) <=> ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(37,plain,
% 0.13/0.41 (![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))))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[36])).
% 0.13/0.41 tff(38,plain,
% 0.13/0.41 (![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))))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(39,plain,
% 0.13/0.41 (^[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))))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(40,plain,
% 0.13/0.41 (![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))))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[39])).
% 0.13/0.41 tff(41,axiom,(![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((((((((organization(X, T1) & organization(Y, T2)) & reliability(X, R1, T1)) & reliability(Y, R2, T2)) & accountability(X, A1, T1)) & accountability(Y, A2, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(Y, Rp2, T2)) => (greater(Rp2, Rp1) <=> (greater(R2, R1) & greater(A2, A1))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a2_FOL')).
% 0.13/0.41 tff(42,plain,
% 0.13/0.41 (![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))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.13/0.41 tff(43,plain,
% 0.13/0.41 (![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))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.13/0.41 tff(44,plain,(
% 0.13/0.41 ![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))))),
% 0.13/0.41 inference(skolemize,[status(sab)],[43])).
% 0.13/0.41 tff(45,plain,
% 0.13/0.41 (![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))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[44, 37])).
% 0.13/0.41 tff(46,plain,
% 0.13/0.41 (![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))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[45, 35])).
% 0.13/0.41 tff(47,plain,
% 0.13/0.41 (((~![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!7, T1!2)) | (~organization(X!7, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~reliability(X!7, R1!6, T1!2)) | (~accountability(X!7, A1!4, T1!2)) | (~reliability(X!7, R2!5, T2!1)) | (~accountability(X!7, A2!3, T2!1)) | (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)))))) <=> ((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | (~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~reliability(X!7, R1!6, T1!2)) | (~accountability(X!7, A1!4, T1!2)) | (~reliability(X!7, R2!5, T2!1)) | (~accountability(X!7, A2!3, T2!1)) | (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(48,plain,
% 0.13/0.42 (((~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reliability(X!7, R1!6, T1!2)) | (~reliability(X!7, R2!5, T2!1)) | (~accountability(X!7, A1!4, T1!2)) | (~accountability(X!7, A2!3, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7))))) <=> ((~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~reliability(X!7, R1!6, T1!2)) | (~accountability(X!7, A1!4, T1!2)) | (~reliability(X!7, R2!5, T2!1)) | (~accountability(X!7, A2!3, T2!1)) | (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(49,plain,
% 0.13/0.42 ((~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)))) <=> (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(50,plain,
% 0.13/0.42 ((((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7))) <=> (((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(51,plain,
% 0.13/0.42 ((~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)))) <=> (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7))))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[50])).
% 0.13/0.42 tff(52,plain,
% 0.13/0.42 ((~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)))) <=> (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7))))),
% 0.13/0.42 inference(transitivity,[status(thm)],[51, 49])).
% 0.13/0.42 tff(53,plain,
% 0.13/0.42 (((~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reliability(X!7, R1!6, T1!2)) | (~reliability(X!7, R2!5, T2!1)) | (~accountability(X!7, A1!4, T1!2)) | (~accountability(X!7, A2!3, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7))))) <=> ((~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reliability(X!7, R1!6, T1!2)) | (~reliability(X!7, R2!5, T2!1)) | (~accountability(X!7, A1!4, T1!2)) | (~accountability(X!7, A2!3, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)))))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[52])).
% 0.13/0.42 tff(54,plain,
% 0.13/0.42 (((~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reliability(X!7, R1!6, T1!2)) | (~reliability(X!7, R2!5, T2!1)) | (~accountability(X!7, A1!4, T1!2)) | (~accountability(X!7, A2!3, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7))))) <=> ((~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~reliability(X!7, R1!6, T1!2)) | (~accountability(X!7, A1!4, T1!2)) | (~reliability(X!7, R2!5, T2!1)) | (~accountability(X!7, A2!3, T2!1)) | (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)))))),
% 0.13/0.42 inference(transitivity,[status(thm)],[53, 48])).
% 0.13/0.42 tff(55,plain,
% 0.13/0.42 (((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | ((~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reliability(X!7, R1!6, T1!2)) | (~reliability(X!7, R2!5, T2!1)) | (~accountability(X!7, A1!4, T1!2)) | (~accountability(X!7, A2!3, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)))))) <=> ((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | ((~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~reliability(X!7, R1!6, T1!2)) | (~accountability(X!7, A1!4, T1!2)) | (~reliability(X!7, R2!5, T2!1)) | (~accountability(X!7, A2!3, T2!1)) | (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7))))))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[54])).
% 0.13/0.42 tff(56,plain,
% 0.13/0.42 (((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | ((~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reliability(X!7, R1!6, T1!2)) | (~reliability(X!7, R2!5, T2!1)) | (~accountability(X!7, A1!4, T1!2)) | (~accountability(X!7, A2!3, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)))))) <=> ((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | (~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~reliability(X!7, R1!6, T1!2)) | (~accountability(X!7, A1!4, T1!2)) | (~reliability(X!7, R2!5, T2!1)) | (~accountability(X!7, A2!3, T2!1)) | (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)))))),
% 0.13/0.42 inference(transitivity,[status(thm)],[55, 47])).
% 0.13/0.42 tff(57,plain,
% 0.13/0.42 ((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | ((~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reliability(X!7, R1!6, T1!2)) | (~reliability(X!7, R2!5, T2!1)) | (~accountability(X!7, A1!4, T1!2)) | (~accountability(X!7, A2!3, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)))))),
% 0.13/0.42 inference(quant_inst,[status(thm)],[])).
% 0.13/0.42 tff(58,plain,
% 0.13/0.42 ((~![X: $i, Y: $i, T1: $i, T2: $i, R1: $i, R2: $i, A1: $i, A2: $i, Rp1: $i, Rp2: $i] : ((~organization(X, T1)) | (~organization(Y, T2)) | (~reliability(X, R1, T1)) | (~reliability(Y, R2, T2)) | (~accountability(X, A1, T1)) | (~accountability(Y, A2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~(((~greater(R2, R1)) | (~greater(A2, A1))) <=> greater(Rp2, Rp1))))) | (~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~reliability(X!7, R1!6, T1!2)) | (~accountability(X!7, A1!4, T1!2)) | (~reliability(X!7, R2!5, T2!1)) | (~accountability(X!7, A2!3, T2!1)) | (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.13/0.42 tff(59,plain,
% 0.13/0.42 (~(((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)))),
% 0.13/0.42 inference(unit_resolution,[status(thm)],[58, 46, 25, 10, 33, 32, 31, 30, 29, 24])).
% 0.13/0.42 tff(60,plain,
% 0.13/0.42 (greater(T2!1, T1!2)),
% 0.13/0.42 inference(and_elim,[status(thm)],[9])).
% 0.13/0.42 tff(61,plain,
% 0.13/0.42 (reorganization_free(X!7, T1!2, T2!1)),
% 0.13/0.42 inference(and_elim,[status(thm)],[9])).
% 0.13/0.42 tff(62,plain,
% 0.13/0.42 (^[X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : refl((greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1))) <=> (greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(63,plain,
% 0.13/0.42 (![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1))) <=> ![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1)))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[62])).
% 0.13/0.42 tff(64,plain,
% 0.13/0.42 (^[X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1)) <=> (~((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1))))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1))) <=> (~(~((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1))))))), rewrite((~(~((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1))))) <=> ((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1)))), ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1))) <=> ((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1))))), (((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1))) | greater(Rp2, Rp1)) <=> (((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1))) | greater(Rp2, Rp1)))), rewrite((((~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1))) | greater(Rp2, Rp1)) <=> (greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1)))), (((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1))) | greater(Rp2, Rp1)) <=> (greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1)))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(65,plain,
% 0.13/0.42 (![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1))) | greater(Rp2, Rp1)) <=> ![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1)))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[64])).
% 0.13/0.42 tff(66,plain,
% 0.13/0.42 (![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1))) | greater(Rp2, Rp1)) <=> ![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1))) | greater(Rp2, Rp1))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(67,plain,
% 0.13/0.42 (^[X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2))), ((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & reproducibility(X, Rp1, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & reproducibility(X, Rp1, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2)) & reproducibility(X, Rp1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1))), ((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & reproducibility(X, Rp1, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1)))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(X, Rp2, T2)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1)) & reproducibility(X, Rp2, T2)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1)) & reproducibility(X, Rp2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2))), (((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(X, Rp2, T2)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2)))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(X, Rp2, T2)) & greater(T2, T1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2)) & greater(T2, T1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2)) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1))), ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(X, Rp2, T2)) & greater(T2, T1)) <=> (organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1)))), (((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(X, Rp2, T2)) & greater(T2, T1)) => greater(Rp2, Rp1)) <=> ((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1)) => greater(Rp2, Rp1)))), rewrite(((organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1)) => greater(Rp2, Rp1)) <=> ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1))) | greater(Rp2, Rp1))), (((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(X, Rp2, T2)) & greater(T2, T1)) => greater(Rp2, Rp1)) <=> ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1))) | greater(Rp2, Rp1))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(68,plain,
% 0.13/0.42 (![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(X, Rp2, T2)) & greater(T2, T1)) => greater(Rp2, Rp1)) <=> ![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1))) | greater(Rp2, Rp1))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[67])).
% 0.13/0.42 tff(69,axiom,(![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & reproducibility(X, Rp1, T1)) & reproducibility(X, Rp2, T2)) & greater(T2, T1)) => greater(Rp2, Rp1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a4_FOL')).
% 0.13/0.42 tff(70,plain,
% 0.13/0.42 (![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1))) | greater(Rp2, Rp1))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.13/0.43 tff(71,plain,
% 0.13/0.43 (![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1))) | greater(Rp2, Rp1))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[70, 66])).
% 0.13/0.43 tff(72,plain,(
% 0.13/0.43 ![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & reproducibility(X, Rp1, T1) & reproducibility(X, Rp2, T2) & greater(T2, T1))) | greater(Rp2, Rp1))),
% 0.13/0.43 inference(skolemize,[status(sab)],[71])).
% 0.13/0.43 tff(73,plain,
% 0.13/0.43 (![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[72, 65])).
% 0.13/0.43 tff(74,plain,
% 0.13/0.43 (![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1)))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[73, 63])).
% 0.13/0.43 tff(75,plain,
% 0.13/0.43 (((~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1)))) | ((~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)) | (~reorganization_free(X!7, T1!2, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~greater(T2!1, T1!2)))) <=> ((~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1)))) | (~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)) | (~reorganization_free(X!7, T1!2, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~greater(T2!1, T1!2)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(76,plain,
% 0.13/0.43 ((greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)) | (~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reorganization_free(X!7, T1!2, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~greater(T2!1, T1!2))) <=> ((~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)) | (~reorganization_free(X!7, T1!2, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~greater(T2!1, T1!2)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(77,plain,
% 0.13/0.43 (((~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1)))) | (greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)) | (~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reorganization_free(X!7, T1!2, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~greater(T2!1, T1!2)))) <=> ((~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1)))) | ((~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)) | (~reorganization_free(X!7, T1!2, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~greater(T2!1, T1!2))))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[76])).
% 0.13/0.43 tff(78,plain,
% 0.13/0.43 (((~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1)))) | (greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)) | (~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reorganization_free(X!7, T1!2, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~greater(T2!1, T1!2)))) <=> ((~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1)))) | (~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)) | (~reorganization_free(X!7, T1!2, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~greater(T2!1, T1!2)))),
% 0.13/0.43 inference(transitivity,[status(thm)],[77, 75])).
% 0.13/0.43 tff(79,plain,
% 0.13/0.43 ((~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1)))) | (greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)) | (~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | (~reorganization_free(X!7, T1!2, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~greater(T2!1, T1!2)))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 0.13/0.43 tff(80,plain,
% 0.13/0.43 ((~![X: $i, Rp1: $i, Rp2: $i, T1: $i, T2: $i] : (greater(Rp2, Rp1) | (~organization(X, T1)) | (~organization(X, T2)) | (~reorganization_free(X, T1, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(X, Rp2, T2)) | (~greater(T2, T1)))) | (~organization(X!7, T1!2)) | (~organization(X!7, T2!1)) | greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)) | (~reorganization_free(X!7, T1!2, T2!1)) | (~reproducibility(X!7, tptp_fun_Rp_0(T1!2, X!7), T1!2)) | (~reproducibility(X!7, tptp_fun_Rp_0(T2!1, X!7), T2!1)) | (~greater(T2!1, T1!2))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.13/0.43 tff(81,plain,
% 0.13/0.43 (greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7))),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[80, 74, 25, 10, 61, 60, 29, 24])).
% 0.13/0.43 tff(82,plain,
% 0.13/0.43 ((((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7))) | (~((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4)))) | (~greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7)))),
% 0.13/0.43 inference(tautology,[status(thm)],[])).
% 0.13/0.43 tff(83,plain,
% 0.13/0.43 ((((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) <=> greater(tptp_fun_Rp_0(T2!1, X!7), tptp_fun_Rp_0(T1!2, X!7))) | (~((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))))),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[82, 81])).
% 0.13/0.43 tff(84,plain,
% 0.13/0.43 (~((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4)))),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[83, 59])).
% 0.13/0.43 tff(85,plain,
% 0.13/0.43 (((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) | greater(R2!5, R1!6)),
% 0.13/0.43 inference(tautology,[status(thm)],[])).
% 0.13/0.43 tff(86,plain,
% 0.13/0.43 (greater(R2!5, R1!6)),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[85, 84])).
% 0.13/0.43 tff(87,plain,
% 0.13/0.43 (((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))) | greater(A2!3, A1!4)),
% 0.13/0.43 inference(tautology,[status(thm)],[])).
% 0.13/0.43 tff(88,plain,
% 0.13/0.43 (greater(A2!3, A1!4)),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[87, 84])).
% 0.13/0.43 tff(89,plain,
% 0.13/0.43 ((~(~((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))))) <=> ((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4)))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(90,plain,
% 0.13/0.43 ((greater(R2!5, R1!6) & greater(A2!3, A1!4)) <=> (~((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(91,plain,
% 0.13/0.43 ((~(greater(R2!5, R1!6) & greater(A2!3, A1!4))) <=> (~(~((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4)))))),
% 0.13/0.43 inference(monotonicity,[status(thm)],[90])).
% 0.13/0.43 tff(92,plain,
% 0.13/0.43 ((~(greater(R2!5, R1!6) & greater(A2!3, A1!4))) <=> ((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4)))),
% 0.13/0.43 inference(transitivity,[status(thm)],[91, 89])).
% 0.13/0.43 tff(93,plain,
% 0.13/0.43 (~(greater(R2!5, R1!6) & greater(A2!3, A1!4))),
% 0.13/0.43 inference(or_elim,[status(thm)],[8])).
% 0.13/0.43 tff(94,plain,
% 0.13/0.43 ((~greater(R2!5, R1!6)) | (~greater(A2!3, A1!4))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.13/0.43 tff(95,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[94, 88, 86])).
% 0.13/0.43 % SZS output end Proof
% 0.13/0.43 % E exiting
%------------------------------------------------------------------------------