%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT002+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n009.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 0.13s 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 : MGT002+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.08/0.34 % Computer : n009.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 7 11:34:09 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.13/0.40 % SZS status Theorem
% 0.13/0.40 % SZS output start Proof
% 0.13/0.40 tff(greater_type, type, (
% 0.13/0.40 greater: ( $i * $i ) > $o)).
% 0.13/0.40 tff(tptp_fun_I1_4_type, type, (
% 0.13/0.40 tptp_fun_I1_4: $i)).
% 0.13/0.40 tff(tptp_fun_I2_3_type, type, (
% 0.13/0.40 tptp_fun_I2_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_5_type, type, (
% 0.13/0.40 tptp_fun_X_5: $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(inertia_type, type, (
% 0.13/0.40 inertia: ( $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, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))) <=> (~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(2,plain,
% 0.13/0.40 ((~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) & greater(T2, T1)) => greater(I2, I1))) <=> (~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1)))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(3,axiom,(~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((((((organization(X, T1) & organization(X, T2)) & reorganization_free(X, T1, T2)) & inertia(X, I1, T1)) & inertia(X, I2, T2)) & greater(T2, T1)) => greater(I2, I1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t2_FOL')).
% 0.13/0.40 tff(4,plain,
% 0.13/0.40 (~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.13/0.40 tff(5,plain,
% 0.13/0.40 (~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.13/0.40 tff(6,plain,
% 0.13/0.40 (~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.13/0.40 tff(7,plain,
% 0.13/0.40 (~![X: $i, I1: $i, I2: $i, T1: $i, T2: $i] : ((~(organization(X, T1) & organization(X, T2) & reorganization_free(X, T1, T2) & inertia(X, I1, T1) & inertia(X, I2, T2) & greater(T2, T1))) | greater(I2, I1))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.13/0.40 tff(8,plain,(
% 0.13/0.40 ~((~(organization(X!5, T1!2) & organization(X!5, T2!1) & reorganization_free(X!5, T1!2, T2!1) & inertia(X!5, I1!4, T1!2) & inertia(X!5, I2!3, T2!1) & greater(T2!1, T1!2))) | greater(I2!3, I1!4))),
% 0.13/0.40 inference(skolemize,[status(sab)],[7])).
% 0.13/0.40 tff(9,plain,
% 0.13/0.40 (organization(X!5, T1!2) & organization(X!5, T2!1) & reorganization_free(X!5, T1!2, T2!1) & inertia(X!5, I1!4, T1!2) & inertia(X!5, I2!3, T2!1) & greater(T2!1, T1!2)),
% 0.13/0.40 inference(or_elim,[status(thm)],[8])).
% 0.13/0.40 tff(10,plain,
% 0.13/0.40 (organization(X!5, T2!1)),
% 0.13/0.40 inference(and_elim,[status(thm)],[9])).
% 0.13/0.40 tff(11,plain,
% 0.13/0.40 (^[X: $i, T: $i] : refl(((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T)) <=> ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T)))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(12,plain,
% 0.13/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | 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))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[11])).
% 0.13/0.40 tff(13,plain,
% 0.13/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(14,plain,
% 0.13/0.40 (^[X: $i, T: $i] : rewrite((organization(X, T) => ?[Rp: $i] : reproducibility(X, Rp, T)) <=> ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T)))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(15,plain,
% 0.13/0.40 (![X: $i, T: $i] : (organization(X, T) => ?[Rp: $i] : reproducibility(X, Rp, T)) <=> ![X: $i, T: $i] : ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[14])).
% 0.13/0.40 tff(16,axiom,(![X: $i, T: $i] : (organization(X, T) => ?[Rp: $i] : reproducibility(X, Rp, T))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp3')).
% 0.13/0.40 tff(17,plain,
% 0.13/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.13/0.40 tff(18,plain,
% 0.13/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | ?[Rp: $i] : reproducibility(X, Rp, T))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.13/0.40 tff(19,plain,(
% 0.13/0.40 ![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))),
% 0.13/0.40 inference(skolemize,[status(sab)],[18])).
% 0.13/0.40 tff(20,plain,
% 0.13/0.40 (![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.13/0.40 tff(21,plain,
% 0.13/0.40 (((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | ((~organization(X!5, T2!1)) | reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | (~organization(X!5, T2!1)) | reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(22,plain,
% 0.13/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | ((~organization(X!5, T2!1)) | reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(23,plain,
% 0.13/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | (~organization(X!5, T2!1)) | reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.13/0.40 tff(24,plain,
% 0.13/0.40 (reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[23, 20, 10])).
% 0.13/0.40 tff(25,plain,
% 0.13/0.40 (organization(X!5, T1!2)),
% 0.13/0.40 inference(and_elim,[status(thm)],[9])).
% 0.13/0.40 tff(26,plain,
% 0.13/0.40 (((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | ((~organization(X!5, T1!2)) | reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2))) <=> ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | (~organization(X!5, T1!2)) | reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2))),
% 0.13/0.40 inference(rewrite,[status(thm)],[])).
% 0.13/0.40 tff(27,plain,
% 0.13/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | ((~organization(X!5, T1!2)) | reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2))),
% 0.13/0.40 inference(quant_inst,[status(thm)],[])).
% 0.13/0.40 tff(28,plain,
% 0.13/0.40 ((~![X: $i, T: $i] : ((~organization(X, T)) | reproducibility(X, tptp_fun_Rp_0(T, X), T))) | (~organization(X!5, T1!2)) | reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)),
% 0.13/0.40 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.13/0.40 tff(29,plain,
% 0.13/0.40 (reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)),
% 0.13/0.40 inference(unit_resolution,[status(thm)],[28, 20, 25])).
% 0.13/0.40 tff(30,plain,
% 0.13/0.40 (greater(T2!1, T1!2)),
% 0.13/0.40 inference(and_elim,[status(thm)],[9])).
% 0.13/0.40 tff(31,plain,
% 0.13/0.40 (reorganization_free(X!5, T1!2, T2!1)),
% 0.13/0.40 inference(and_elim,[status(thm)],[9])).
% 0.13/0.40 tff(32,plain,
% 0.13/0.40 (^[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))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(33,plain,
% 0.13/0.40 (![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)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[32])).
% 0.13/0.40 tff(34,plain,
% 0.13/0.40 (^[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)))))),
% 0.13/0.40 inference(bind,[status(th)],[])).
% 0.13/0.40 tff(35,plain,
% 0.13/0.40 (![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)))),
% 0.13/0.40 inference(quant_intro,[status(thm)],[34])).
% 0.13/0.40 tff(36,plain,
% 0.13/0.41 (![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))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(37,plain,
% 0.13/0.41 (^[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))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(38,plain,
% 0.13/0.41 (![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))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[37])).
% 0.13/0.41 tff(39,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/sandbox2/benchmark/theBenchmark.p','a4_FOL')).
% 0.13/0.41 tff(40,plain,
% 0.13/0.41 (![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))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.13/0.41 tff(41,plain,
% 0.13/0.41 (![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))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[40, 36])).
% 0.13/0.41 tff(42,plain,(
% 0.13/0.41 ![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))),
% 0.13/0.41 inference(skolemize,[status(sab)],[41])).
% 0.13/0.41 tff(43,plain,
% 0.13/0.41 (![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)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[42, 35])).
% 0.13/0.41 tff(44,plain,
% 0.13/0.41 (![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)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[43, 33])).
% 0.13/0.41 tff(45,plain,
% 0.13/0.41 (((~![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!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), 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!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~greater(T2!1, T1!2)))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(46,plain,
% 0.13/0.41 ((greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) | (~organization(X!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~greater(T2!1, T1!2))) <=> ((~organization(X!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~greater(T2!1, T1!2)))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(47,plain,
% 0.13/0.41 (((~![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!5), tptp_fun_Rp_0(T1!2, X!5)) | (~organization(X!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), 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!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~greater(T2!1, T1!2))))),
% 0.13/0.41 inference(monotonicity,[status(thm)],[46])).
% 0.13/0.41 tff(48,plain,
% 0.13/0.41 (((~![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!5), tptp_fun_Rp_0(T1!2, X!5)) | (~organization(X!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), 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!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~greater(T2!1, T1!2)))),
% 0.13/0.41 inference(transitivity,[status(thm)],[47, 45])).
% 0.13/0.41 tff(49,plain,
% 0.13/0.41 ((~![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!5), tptp_fun_Rp_0(T1!2, X!5)) | (~organization(X!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~greater(T2!1, T1!2)))),
% 0.13/0.41 inference(quant_inst,[status(thm)],[])).
% 0.13/0.41 tff(50,plain,
% 0.13/0.41 ((~![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!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~greater(T2!1, T1!2))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.13/0.41 tff(51,plain,
% 0.13/0.41 (greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[50, 44, 25, 10, 31, 30, 29, 24])).
% 0.13/0.41 tff(52,plain,
% 0.13/0.41 (~greater(I2!3, I1!4)),
% 0.13/0.41 inference(or_elim,[status(thm)],[8])).
% 0.13/0.41 tff(53,plain,
% 0.13/0.41 ((~(greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) <=> greater(I2!3, I1!4))) | (~greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5))) | greater(I2!3, I1!4)),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(54,plain,
% 0.13/0.41 (~(greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) <=> greater(I2!3, I1!4))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[53, 52, 51])).
% 0.13/0.41 tff(55,plain,
% 0.13/0.41 (^[X: $i, T1: $i, T2: $i] : refl(((~reorganization_free(X, T1, T2)) | (~((~reorganization_free(X, T1, T1)) | (~reorganization_free(X, T2, T2))))) <=> ((~reorganization_free(X, T1, T2)) | (~((~reorganization_free(X, T1, T1)) | (~reorganization_free(X, T2, T2))))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(56,plain,
% 0.13/0.41 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | (~((~reorganization_free(X, T1, T1)) | (~reorganization_free(X, T2, T2))))) <=> ![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | (~((~reorganization_free(X, T1, T1)) | (~reorganization_free(X, T2, T2)))))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[55])).
% 0.13/0.41 tff(57,plain,
% 0.13/0.41 (^[X: $i, T1: $i, T2: $i] : rewrite(((~reorganization_free(X, T1, T2)) | (reorganization_free(X, T1, T1) & reorganization_free(X, T2, T2))) <=> ((~reorganization_free(X, T1, T2)) | (~((~reorganization_free(X, T1, T1)) | (~reorganization_free(X, T2, T2))))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(58,plain,
% 0.13/0.41 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | (reorganization_free(X, T1, T1) & reorganization_free(X, T2, T2))) <=> ![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | (~((~reorganization_free(X, T1, T1)) | (~reorganization_free(X, T2, T2)))))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[57])).
% 0.13/0.41 tff(59,plain,
% 0.13/0.41 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | (reorganization_free(X, T1, T1) & reorganization_free(X, T2, T2))) <=> ![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | (reorganization_free(X, T1, T1) & reorganization_free(X, T2, T2)))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(60,plain,
% 0.13/0.41 (^[X: $i, T1: $i, T2: $i] : rewrite((reorganization_free(X, T1, T2) => (reorganization_free(X, T1, T1) & reorganization_free(X, T2, T2))) <=> ((~reorganization_free(X, T1, T2)) | (reorganization_free(X, T1, T1) & reorganization_free(X, T2, T2))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(61,plain,
% 0.13/0.41 (![X: $i, T1: $i, T2: $i] : (reorganization_free(X, T1, T2) => (reorganization_free(X, T1, T1) & reorganization_free(X, T2, T2))) <=> ![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | (reorganization_free(X, T1, T1) & reorganization_free(X, T2, T2)))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[60])).
% 0.13/0.41 tff(62,axiom,(![X: $i, T1: $i, T2: $i] : (reorganization_free(X, T1, T2) => (reorganization_free(X, T1, T1) & reorganization_free(X, T2, T2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp4')).
% 0.13/0.41 tff(63,plain,
% 0.13/0.41 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | (reorganization_free(X, T1, T1) & reorganization_free(X, T2, T2)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.13/0.41 tff(64,plain,
% 0.13/0.41 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | (reorganization_free(X, T1, T1) & reorganization_free(X, T2, T2)))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[63, 59])).
% 0.13/0.41 tff(65,plain,(
% 0.13/0.41 ![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | (reorganization_free(X, T1, T1) & reorganization_free(X, T2, T2)))),
% 0.13/0.41 inference(skolemize,[status(sab)],[64])).
% 0.13/0.41 tff(66,plain,
% 0.13/0.41 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | (~((~reorganization_free(X, T1, T1)) | (~reorganization_free(X, T2, T2)))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[65, 58])).
% 0.13/0.41 tff(67,plain,
% 0.13/0.41 (![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | (~((~reorganization_free(X, T1, T1)) | (~reorganization_free(X, T2, T2)))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[66, 56])).
% 0.13/0.41 tff(68,plain,
% 0.13/0.41 (((~![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | (~((~reorganization_free(X, T1, T1)) | (~reorganization_free(X, T2, T2)))))) | ((~reorganization_free(X!5, T1!2, T2!1)) | (~((~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1)))))) <=> ((~![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | (~((~reorganization_free(X, T1, T1)) | (~reorganization_free(X, T2, T2)))))) | (~reorganization_free(X!5, T1!2, T2!1)) | (~((~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1)))))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(69,plain,
% 0.13/0.41 ((~![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | (~((~reorganization_free(X, T1, T1)) | (~reorganization_free(X, T2, T2)))))) | ((~reorganization_free(X!5, T1!2, T2!1)) | (~((~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1)))))),
% 0.13/0.41 inference(quant_inst,[status(thm)],[])).
% 0.13/0.41 tff(70,plain,
% 0.13/0.41 ((~![X: $i, T1: $i, T2: $i] : ((~reorganization_free(X, T1, T2)) | (~((~reorganization_free(X, T1, T1)) | (~reorganization_free(X, T2, T2)))))) | (~reorganization_free(X!5, T1!2, T2!1)) | (~((~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.13/0.41 tff(71,plain,
% 0.13/0.41 (~((~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1)))),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[70, 67, 31])).
% 0.13/0.41 tff(72,plain,
% 0.13/0.41 (((~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1))) | reorganization_free(X!5, T2!1, T2!1)),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(73,plain,
% 0.13/0.41 (reorganization_free(X!5, T2!1, T2!1)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[72, 71])).
% 0.13/0.41 tff(74,plain,
% 0.13/0.41 (((~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1))) | reorganization_free(X!5, T1!2, T1!2)),
% 0.13/0.41 inference(tautology,[status(thm)],[])).
% 0.13/0.41 tff(75,plain,
% 0.13/0.41 (reorganization_free(X!5, T1!2, T1!2)),
% 0.13/0.41 inference(unit_resolution,[status(thm)],[74, 71])).
% 0.13/0.41 tff(76,plain,
% 0.13/0.41 (inertia(X!5, I2!3, T2!1)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(77,plain,
% 0.13/0.41 (inertia(X!5, I1!4, T1!2)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(78,plain,
% 0.13/0.41 (^[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))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(79,plain,
% 0.13/0.41 (![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)))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[78])).
% 0.13/0.41 tff(80,plain,
% 0.13/0.41 (^[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)))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(81,plain,
% 0.13/0.41 (![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)))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[80])).
% 0.13/0.42 tff(82,plain,
% 0.13/0.42 (![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)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(83,plain,
% 0.13/0.42 (^[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)))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(84,plain,
% 0.13/0.42 (![X: $i, Y: $i, T1: $i, T2: $i, 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)))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[83])).
% 0.13/0.42 tff(85,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')).
% 0.13/0.42 tff(86,plain,
% 0.13/0.42 (![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)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.13/0.42 tff(87,plain,
% 0.13/0.42 (![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)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[86, 82])).
% 0.13/0.42 tff(88,plain,(
% 0.13/0.42 ![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)))),
% 0.13/0.42 inference(skolemize,[status(sab)],[87])).
% 0.13/0.42 tff(89,plain,
% 0.13/0.42 (![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)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[88, 81])).
% 0.13/0.42 tff(90,plain,
% 0.13/0.42 (![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)))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[89, 79])).
% 0.13/0.42 tff(91,plain,
% 0.13/0.42 (((~![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)))) | ((~organization(X!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~inertia(X!5, I1!4, T1!2)) | (greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) <=> greater(I2!3, I1!4)) | (~inertia(X!5, I2!3, T2!1)))) <=> ((~![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!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~inertia(X!5, I1!4, T1!2)) | (greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) <=> greater(I2!3, I1!4)) | (~inertia(X!5, I2!3, T2!1)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(92,plain,
% 0.13/0.42 (((greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) <=> greater(I2!3, I1!4)) | (~organization(X!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~inertia(X!5, I1!4, T1!2)) | (~inertia(X!5, I2!3, T2!1))) <=> ((~organization(X!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~inertia(X!5, I1!4, T1!2)) | (greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) <=> greater(I2!3, I1!4)) | (~inertia(X!5, I2!3, T2!1)))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(93,plain,
% 0.13/0.42 (((~![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)))) | ((greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) <=> greater(I2!3, I1!4)) | (~organization(X!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~inertia(X!5, I1!4, T1!2)) | (~inertia(X!5, I2!3, T2!1)))) <=> ((~![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!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~inertia(X!5, I1!4, T1!2)) | (greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) <=> greater(I2!3, I1!4)) | (~inertia(X!5, I2!3, T2!1))))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[92])).
% 0.13/0.42 tff(94,plain,
% 0.13/0.42 (((~![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)))) | ((greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) <=> greater(I2!3, I1!4)) | (~organization(X!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~inertia(X!5, I1!4, T1!2)) | (~inertia(X!5, I2!3, T2!1)))) <=> ((~![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!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~inertia(X!5, I1!4, T1!2)) | (greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) <=> greater(I2!3, I1!4)) | (~inertia(X!5, I2!3, T2!1)))),
% 0.13/0.43 inference(transitivity,[status(thm)],[93, 91])).
% 0.13/0.43 tff(95,plain,
% 0.13/0.43 ((~![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_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) <=> greater(I2!3, I1!4)) | (~organization(X!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~inertia(X!5, I1!4, T1!2)) | (~inertia(X!5, I2!3, T2!1)))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 0.13/0.43 tff(96,plain,
% 0.13/0.43 ((~![X: $i, Y: $i, T1: $i, T2: $i, Rp1: $i, Rp2: $i, I1: $i, I2: $i] : ((greater(Rp2, Rp1) <=> greater(I2, I1)) | (~organization(X, T1)) | (~organization(Y, T2)) | (~reorganization_free(X, T1, T1)) | (~reorganization_free(Y, T2, T2)) | (~reproducibility(X, Rp1, T1)) | (~reproducibility(Y, Rp2, T2)) | (~inertia(X, I1, T1)) | (~inertia(Y, I2, T2)))) | (~organization(X!5, T1!2)) | (~organization(X!5, T2!1)) | (~reorganization_free(X!5, T1!2, T1!2)) | (~reorganization_free(X!5, T2!1, T2!1)) | (~reproducibility(X!5, tptp_fun_Rp_0(T1!2, X!5), T1!2)) | (~reproducibility(X!5, tptp_fun_Rp_0(T2!1, X!5), T2!1)) | (~inertia(X!5, I1!4, T1!2)) | (greater(tptp_fun_Rp_0(T2!1, X!5), tptp_fun_Rp_0(T1!2, X!5)) <=> greater(I2!3, I1!4)) | (~inertia(X!5, I2!3, T2!1))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.13/0.43 tff(97,plain,
% 0.13/0.43 ($false),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[96, 90, 25, 10, 77, 76, 29, 24, 75, 73, 54])).
% 0.13/0.43 % SZS output end Proof
% 0.13/0.43 % E exiting
%------------------------------------------------------------------------------