%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT055+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n008.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 06:24:08 AM UTC 2026
% Result : Theorem 0.21s 0.53s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT055+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.07/0.34 % Computer : n008.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 13:27:10 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.21/0.53 % SZS status Theorem
% 0.21/0.53 % SZS output start Proof
% 0.21/0.53 tff(greater_type, type, (
% 0.21/0.53 greater: ( $i * $i ) > $o)).
% 0.21/0.53 tff(age_type, type, (
% 0.21/0.53 age: ( $i * $i ) > $i)).
% 0.21/0.53 tff(tptp_fun_T2_2_type, type, (
% 0.21/0.53 tptp_fun_T2_2: $i)).
% 0.21/0.53 tff(tptp_fun_X_5_type, type, (
% 0.21/0.53 tptp_fun_X_5: $i)).
% 0.21/0.53 tff(sigma_type, type, (
% 0.21/0.53 sigma: $i)).
% 0.21/0.53 tff(smaller_type, type, (
% 0.21/0.53 smaller: ( $i * $i ) > $o)).
% 0.21/0.53 tff(dissimilar_type, type, (
% 0.21/0.53 dissimilar: ( $i * $i * $i ) > $o)).
% 0.21/0.53 tff(tptp_fun_T0_4_type, type, (
% 0.21/0.53 tptp_fun_T0_4: $i)).
% 0.21/0.53 tff(zero_type, type, (
% 0.21/0.53 zero: $i)).
% 0.21/0.53 tff(eta_type, type, (
% 0.21/0.53 eta: $i)).
% 0.21/0.53 tff(tptp_fun_T3_1_type, type, (
% 0.21/0.53 tptp_fun_T3_1: $i)).
% 0.21/0.53 tff(smaller_or_equal_type, type, (
% 0.21/0.53 smaller_or_equal: ( $i * $i ) > $o)).
% 0.21/0.53 tff(tptp_fun_T1_3_type, type, (
% 0.21/0.53 tptp_fun_T1_3: $i)).
% 0.21/0.53 tff(has_endowment_type, type, (
% 0.21/0.53 has_endowment: $i > $o)).
% 0.21/0.53 tff(organization_type, type, (
% 0.21/0.53 organization: $i > $o)).
% 0.21/0.53 tff(hazard_of_mortality_type, type, (
% 0.21/0.53 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.21/0.53 tff(is_aligned_type, type, (
% 0.21/0.53 is_aligned: ( $i * $i ) > $o)).
% 0.21/0.53 tff(capability_type, type, (
% 0.21/0.53 capability: ( $i * $i ) > $i)).
% 0.21/0.53 tff(has_immunity_type, type, (
% 0.21/0.53 has_immunity: ( $i * $i ) > $o)).
% 0.21/0.53 tff(tptp_fun_T_0_type, type, (
% 0.21/0.53 tptp_fun_T_0: $i > $i)).
% 0.21/0.53 tff(1,plain,
% 0.21/0.53 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(2,plain,
% 0.21/0.53 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[1])).
% 0.21/0.53 tff(3,plain,
% 0.21/0.53 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(4,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.21/0.53 tff(5,plain,
% 0.21/0.53 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.21/0.53 tff(6,plain,(
% 0.21/0.53 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.53 inference(skolemize,[status(sab)],[5])).
% 0.21/0.53 tff(7,plain,
% 0.21/0.53 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.21/0.53 tff(8,plain,
% 0.21/0.53 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(age(X!5, T2!2), sigma) <=> greater(sigma, age(X!5, T2!2)))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(9,plain,
% 0.21/0.53 (smaller(age(X!5, T2!2), sigma) <=> greater(sigma, age(X!5, T2!2))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.21/0.53 tff(10,plain,
% 0.21/0.53 ((~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(11,plain,
% 0.21/0.53 ((~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : (((((((((organization(X) & has_endowment(X)) & (age(X, T0) = zero)) & smaller_or_equal(age(X, T1), eta)) & greater(age(X, T2), eta)) & smaller_or_equal(age(X, T2), sigma)) & greater(age(X, T3), sigma)) & greater(sigma, eta)) & greater(eta, zero)) => ((greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1))) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(12,axiom,(~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : (((((((((organization(X) & has_endowment(X)) & (age(X, T0) = zero)) & smaller_or_equal(age(X, T1), eta)) & greater(age(X, T2), eta)) & smaller_or_equal(age(X, T2), sigma)) & greater(age(X, T3), sigma)) & greater(sigma, eta)) & greater(eta, zero)) => ((greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1))) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lemma_8')).
% 0.21/0.53 tff(13,plain,
% 0.21/0.53 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.21/0.53 tff(14,plain,
% 0.21/0.53 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[13, 10])).
% 0.21/0.53 tff(15,plain,
% 0.21/0.53 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.21/0.53 tff(16,plain,
% 0.21/0.53 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma) & greater(sigma, eta) & greater(eta, zero))) | (greater(hazard_of_mortality(X, T3), hazard_of_mortality(X, T2)) & greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[15, 10])).
% 0.21/0.53 tff(17,plain,(
% 0.21/0.53 ~((~(organization(X!5) & has_endowment(X!5) & (age(X!5, T0!4) = zero) & smaller_or_equal(age(X!5, T1!3), eta) & greater(age(X!5, T2!2), eta) & smaller_or_equal(age(X!5, T2!2), sigma) & greater(age(X!5, T3!1), sigma) & greater(sigma, eta) & greater(eta, zero))) | (greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) & greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))),
% 0.21/0.53 inference(skolemize,[status(sab)],[16])).
% 0.21/0.53 tff(18,plain,
% 0.21/0.53 (organization(X!5) & has_endowment(X!5) & (age(X!5, T0!4) = zero) & smaller_or_equal(age(X!5, T1!3), eta) & greater(age(X!5, T2!2), eta) & smaller_or_equal(age(X!5, T2!2), sigma) & greater(age(X!5, T3!1), sigma) & greater(sigma, eta) & greater(eta, zero)),
% 0.21/0.53 inference(or_elim,[status(thm)],[17])).
% 0.21/0.53 tff(19,plain,
% 0.21/0.53 (age(X!5, T0!4) = zero),
% 0.21/0.53 inference(and_elim,[status(thm)],[18])).
% 0.21/0.53 tff(20,plain,
% 0.21/0.53 (organization(X!5)),
% 0.21/0.53 inference(and_elim,[status(thm)],[18])).
% 0.21/0.53 tff(21,plain,
% 0.21/0.53 (^[X: $i, T0: $i, T: $i] : refl(((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero))) <=> ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(22,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero))) <=> ![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[21])).
% 0.21/0.53 tff(23,plain,
% 0.21/0.53 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (age(X, T0) = zero)) <=> (~((~organization(X)) | (~(age(X, T0) = zero))))), ((~(organization(X) & (age(X, T0) = zero))) <=> (~(~((~organization(X)) | (~(age(X, T0) = zero))))))), rewrite((~(~((~organization(X)) | (~(age(X, T0) = zero))))) <=> ((~organization(X)) | (~(age(X, T0) = zero)))), ((~(organization(X) & (age(X, T0) = zero))) <=> ((~organization(X)) | (~(age(X, T0) = zero))))), (((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> (((~organization(X)) | (~(age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))))), rewrite((((~organization(X)) | (~(age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))), (((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(24,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[23])).
% 0.21/0.53 tff(25,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(26,plain,
% 0.21/0.53 (^[X: $i, T0: $i, T: $i] : rewrite(((organization(X) & (age(X, T0) = zero)) => (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(27,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : ((organization(X) & (age(X, T0) = zero)) => (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[26])).
% 0.21/0.53 tff(28,axiom,(![X: $i, T0: $i, T: $i] : ((organization(X) & (age(X, T0) = zero)) => (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_15')).
% 0.21/0.53 tff(29,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.21/0.53 tff(30,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[29, 25])).
% 0.21/0.53 tff(31,plain,(
% 0.21/0.53 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.21/0.53 inference(skolemize,[status(sab)],[30])).
% 0.21/0.53 tff(32,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[31, 24])).
% 0.21/0.53 tff(33,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[32, 22])).
% 0.21/0.53 tff(34,plain,
% 0.21/0.53 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(35,plain,
% 0.21/0.53 (((greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero))) <=> ((~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(36,plain,
% 0.21/0.53 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2))))),
% 0.21/0.53 inference(monotonicity,[status(thm)],[35])).
% 0.21/0.53 tff(37,plain,
% 0.21/0.53 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)))),
% 0.21/0.53 inference(transitivity,[status(thm)],[36, 34])).
% 0.21/0.53 tff(38,plain,
% 0.21/0.53 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(39,plain,
% 0.21/0.53 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.21/0.53 tff(40,plain,
% 0.21/0.53 (greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[39, 33, 20, 19])).
% 0.21/0.53 tff(41,plain,
% 0.21/0.53 (^[X: $i, T0: $i, T: $i] : refl((~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(42,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[41])).
% 0.21/0.53 tff(43,plain,
% 0.21/0.53 (^[X: $i, T0: $i, T: $i] : trans(trans(monotonicity(trans(monotonicity(rewrite((~(is_aligned(X, T0) <=> is_aligned(X, T))) <=> (~(is_aligned(X, T0) <=> is_aligned(X, T)))), ((organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))), rewrite((organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))), ((organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))), ((dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))))), rewrite((dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))), ((dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))))), rewrite((~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))), ((dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(44,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> ![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[43])).
% 0.21/0.53 tff(45,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(46,axiom,(![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_2')).
% 0.21/0.53 tff(47,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.21/0.53 tff(48,plain,(
% 0.21/0.53 ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.21/0.53 inference(skolemize,[status(sab)],[47])).
% 0.21/0.53 tff(49,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[48, 44])).
% 0.21/0.53 tff(50,plain,
% 0.21/0.53 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[49, 42])).
% 0.21/0.53 tff(51,plain,
% 0.21/0.53 ((~![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))) | (~(((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2))) <=> dissimilar(X!5, T0!4, T2!2)))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(52,plain,
% 0.21/0.53 (~(((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2))) <=> dissimilar(X!5, T0!4, T2!2))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[51, 50])).
% 0.21/0.53 tff(53,plain,
% 0.21/0.53 (^[X: $i] : rewrite((~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(54,plain,
% 0.21/0.54 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> ![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[53])).
% 0.21/0.54 tff(55,plain,
% 0.21/0.54 (^[X: $i] : refl((~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(56,plain,
% 0.21/0.54 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> ![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[55])).
% 0.21/0.54 tff(57,plain,
% 0.21/0.54 (^[X: $i] : rewrite((~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(58,plain,
% 0.21/0.54 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> ![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[57])).
% 0.21/0.54 tff(59,plain,
% 0.21/0.54 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))) <=> ![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.21/0.54 inference(transitivity,[status(thm)],[58, 56])).
% 0.21/0.54 tff(60,plain,
% 0.21/0.54 (^[X: $i] : trans(monotonicity(rewrite(((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) <=> ((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))), trans(monotonicity(trans(monotonicity(rewrite((organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))) <=> (~((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))), ((~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))) <=> (~(~((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))), rewrite((~(~((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))) <=> ((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))), ((~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))) <=> ((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))), ((has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) <=> (has_endowment(X) | ((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))), rewrite((has_endowment(X) | ((~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) <=> (has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))), ((has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) <=> (has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))), ((((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) & (has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))) <=> (((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))) & (has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))), rewrite((((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))) & (has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) <=> (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))), ((((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) & (has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))) <=> (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(61,plain,
% 0.21/0.54 (![X: $i] : (((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) & (has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))) <=> ![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[60])).
% 0.21/0.54 tff(62,plain,
% 0.21/0.54 (![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) <=> ![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(63,plain,
% 0.21/0.54 (^[X: $i] : rewrite((has_endowment(X) <=> ![T: $i] : ((organization(X) & (smaller_or_equal(age(X, T), eta) => has_immunity(X, T))) & (greater(age(X, T), eta) => (~has_immunity(X, T))))) <=> (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(64,plain,
% 0.21/0.54 (![X: $i] : (has_endowment(X) <=> ![T: $i] : ((organization(X) & (smaller_or_equal(age(X, T), eta) => has_immunity(X, T))) & (greater(age(X, T), eta) => (~has_immunity(X, T))))) <=> ![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[63])).
% 0.21/0.54 tff(65,axiom,(![X: $i] : (has_endowment(X) <=> ![T: $i] : ((organization(X) & (smaller_or_equal(age(X, T), eta) => has_immunity(X, T))) & (greater(age(X, T), eta) => (~has_immunity(X, T)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','definition_1')).
% 0.21/0.54 tff(66,plain,
% 0.21/0.54 (![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.21/0.54 tff(67,plain,
% 0.21/0.54 (![X: $i] : (has_endowment(X) <=> ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[66, 62])).
% 0.21/0.54 tff(68,plain,(
% 0.21/0.54 ![X: $i] : (((~has_endowment(X)) | ![T: $i] : (organization(X) & ((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T)) & ((~has_immunity(X, T)) | (~greater(age(X, T), eta))))) & (has_endowment(X) | (~(organization(X) & ((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X))) & ((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))))),
% 0.21/0.54 inference(skolemize,[status(sab)],[67])).
% 0.21/0.54 tff(69,plain,
% 0.21/0.54 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[68, 61])).
% 0.21/0.54 tff(70,plain,
% 0.21/0.54 (![X: $i] : (~((~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta)))))))) | (~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta))))))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[69, 59])).
% 0.21/0.54 tff(71,plain,
% 0.21/0.54 (![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[70, 54])).
% 0.21/0.54 tff(72,plain,
% 0.21/0.54 (((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))))) <=> ((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))))))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(73,plain,
% 0.21/0.54 ((~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))))) <=> (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(74,plain,
% 0.21/0.54 (((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))))) <=> ((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))))))),
% 0.21/0.55 inference(monotonicity,[status(thm)],[73])).
% 0.21/0.55 tff(75,plain,
% 0.21/0.55 (((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))))) <=> ((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))))))),
% 0.21/0.55 inference(transitivity,[status(thm)],[74, 72])).
% 0.21/0.55 tff(76,plain,
% 0.21/0.55 ((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))))),
% 0.21/0.55 inference(quant_inst,[status(thm)],[])).
% 0.21/0.55 tff(77,plain,
% 0.21/0.55 ((~![X: $i] : (~((~(has_endowment(X) | (~organization(X)) | (~((~smaller_or_equal(age(X, tptp_fun_T_0(X)), eta)) | has_immunity(X, tptp_fun_T_0(X)))) | (~((~has_immunity(X, tptp_fun_T_0(X))) | (~greater(age(X, tptp_fun_T_0(X)), eta)))))) | (~((~has_endowment(X)) | ![T: $i] : (~((~organization(X)) | (~((~smaller_or_equal(age(X, T), eta)) | has_immunity(X, T))) | (~((~has_immunity(X, T)) | (~greater(age(X, T), eta))))))))))) | (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.21/0.55 tff(78,plain,
% 0.21/0.55 (~((~(has_endowment(X!5) | (~organization(X!5)) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[77, 71])).
% 0.21/0.55 tff(79,plain,
% 0.21/0.55 (((~(has_endowment(X!5) | (~organization(X!5)) | (~((~has_immunity(X!5, tptp_fun_T_0(X!5))) | (~greater(age(X!5, tptp_fun_T_0(X!5)), eta)))) | (~((~smaller_or_equal(age(X!5, tptp_fun_T_0(X!5)), eta)) | has_immunity(X!5, tptp_fun_T_0(X!5)))))) | (~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))))) | ((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))),
% 0.21/0.55 inference(tautology,[status(thm)],[])).
% 0.21/0.55 tff(80,plain,
% 0.21/0.55 ((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[79, 78])).
% 0.21/0.55 tff(81,plain,
% 0.21/0.55 (has_endowment(X!5)),
% 0.21/0.55 inference(and_elim,[status(thm)],[18])).
% 0.21/0.55 tff(82,plain,
% 0.21/0.55 ((~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))) | (~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))),
% 0.21/0.55 inference(tautology,[status(thm)],[])).
% 0.21/0.55 tff(83,plain,
% 0.21/0.55 ((~((~has_endowment(X!5)) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta)))))))) | ![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[82, 81])).
% 0.21/0.55 tff(84,plain,
% 0.21/0.55 (![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[83, 80])).
% 0.21/0.55 tff(85,plain,
% 0.21/0.55 ((~![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))) | (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T3!1), eta)) | has_immunity(X!5, T3!1))) | (~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))))))),
% 0.21/0.55 inference(quant_inst,[status(thm)],[])).
% 0.21/0.55 tff(86,plain,
% 0.21/0.55 (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T3!1), eta)) | has_immunity(X!5, T3!1))) | (~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[85, 84])).
% 0.21/0.55 tff(87,plain,
% 0.21/0.55 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T3!1), eta)) | has_immunity(X!5, T3!1))) | (~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))))) | ((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))),
% 0.21/0.55 inference(tautology,[status(thm)],[])).
% 0.21/0.55 tff(88,plain,
% 0.21/0.55 ((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[87, 86])).
% 0.21/0.55 tff(89,plain,
% 0.21/0.55 (greater(sigma, eta)),
% 0.21/0.55 inference(and_elim,[status(thm)],[18])).
% 0.21/0.55 tff(90,plain,
% 0.21/0.55 (greater(age(X!5, T3!1), sigma)),
% 0.21/0.55 inference(and_elim,[status(thm)],[18])).
% 0.21/0.55 tff(91,plain,
% 0.21/0.55 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y))) <=> ![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(92,plain,
% 0.21/0.55 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((greater(X, Y) & greater(Y, Z)) <=> (~((~greater(Y, Z)) | (~greater(X, Y))))), ((~(greater(X, Y) & greater(Y, Z))) <=> (~(~((~greater(Y, Z)) | (~greater(X, Y))))))), rewrite((~(~((~greater(Y, Z)) | (~greater(X, Y))))) <=> ((~greater(Y, Z)) | (~greater(X, Y)))), ((~(greater(X, Y) & greater(Y, Z))) <=> ((~greater(Y, Z)) | (~greater(X, Y))))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (((~greater(Y, Z)) | (~greater(X, Y))) | greater(X, Z)))), rewrite((((~greater(Y, Z)) | (~greater(X, Y))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))))),
% 0.21/0.55 inference(bind,[status(th)],[])).
% 0.21/0.55 tff(93,plain,
% 0.21/0.55 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.21/0.55 inference(quant_intro,[status(thm)],[92])).
% 0.21/0.55 tff(94,plain,
% 0.21/0.55 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(95,plain,
% 0.21/0.55 (^[X: $i, Y: $i, Z: $i] : rewrite(((greater(X, Y) & greater(Y, Z)) => greater(X, Z)) <=> ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)))),
% 0.21/0.55 inference(bind,[status(th)],[])).
% 0.21/0.55 tff(96,plain,
% 0.21/0.55 (![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.21/0.55 inference(quant_intro,[status(thm)],[95])).
% 0.21/0.55 tff(97,axiom,(![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_transitive')).
% 0.21/0.55 tff(98,plain,
% 0.21/0.55 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[97, 96])).
% 0.21/0.55 tff(99,plain,
% 0.21/0.55 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[98, 94])).
% 0.21/0.55 tff(100,plain,(
% 0.21/0.55 ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.21/0.55 inference(skolemize,[status(sab)],[99])).
% 0.21/0.55 tff(101,plain,
% 0.21/0.55 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[100, 93])).
% 0.21/0.55 tff(102,plain,
% 0.21/0.55 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[101, 91])).
% 0.21/0.55 tff(103,plain,
% 0.21/0.55 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T3!1), eta) | (~greater(sigma, eta)) | (~greater(age(X!5, T3!1), sigma)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(age(X!5, T3!1), eta) | (~greater(sigma, eta)) | (~greater(age(X!5, T3!1), sigma)))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(104,plain,
% 0.21/0.55 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!5, T3!1), eta) | (~greater(sigma, eta)) | (~greater(age(X!5, T3!1), sigma)))),
% 0.21/0.55 inference(quant_inst,[status(thm)],[])).
% 0.21/0.55 tff(105,plain,
% 0.21/0.55 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(age(X!5, T3!1), eta) | (~greater(sigma, eta)) | (~greater(age(X!5, T3!1), sigma))),
% 0.21/0.55 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.21/0.55 tff(106,plain,
% 0.21/0.55 (greater(age(X!5, T3!1), eta)),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[105, 102, 90, 89])).
% 0.21/0.55 tff(107,plain,
% 0.21/0.55 ((~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))) | (~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta))),
% 0.21/0.55 inference(tautology,[status(thm)],[])).
% 0.21/0.55 tff(108,plain,
% 0.21/0.55 ((~((~has_immunity(X!5, T3!1)) | (~greater(age(X!5, T3!1), eta)))) | (~has_immunity(X!5, T3!1))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[107, 106])).
% 0.21/0.55 tff(109,plain,
% 0.21/0.55 (~has_immunity(X!5, T3!1)),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[108, 88])).
% 0.21/0.55 tff(110,plain,
% 0.21/0.55 ((~![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))) | (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T2!2), eta)) | has_immunity(X!5, T2!2))) | (~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))))))),
% 0.21/0.55 inference(quant_inst,[status(thm)],[])).
% 0.21/0.55 tff(111,plain,
% 0.21/0.55 (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T2!2), eta)) | has_immunity(X!5, T2!2))) | (~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[110, 84])).
% 0.21/0.55 tff(112,plain,
% 0.21/0.55 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T2!2), eta)) | has_immunity(X!5, T2!2))) | (~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))))) | ((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))),
% 0.21/0.55 inference(tautology,[status(thm)],[])).
% 0.21/0.55 tff(113,plain,
% 0.21/0.55 ((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[112, 111])).
% 0.21/0.55 tff(114,plain,
% 0.21/0.55 (greater(age(X!5, T2!2), eta)),
% 0.21/0.55 inference(and_elim,[status(thm)],[18])).
% 0.21/0.55 tff(115,plain,
% 0.21/0.55 ((~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))) | (~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta))),
% 0.21/0.55 inference(tautology,[status(thm)],[])).
% 0.21/0.55 tff(116,plain,
% 0.21/0.55 ((~((~has_immunity(X!5, T2!2)) | (~greater(age(X!5, T2!2), eta)))) | (~has_immunity(X!5, T2!2))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[115, 114])).
% 0.21/0.55 tff(117,plain,
% 0.21/0.55 (~has_immunity(X!5, T2!2)),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[116, 113])).
% 0.21/0.55 tff(118,plain,
% 0.21/0.55 ((~![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))) | (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))))))),
% 0.21/0.55 inference(quant_inst,[status(thm)],[])).
% 0.21/0.55 tff(119,plain,
% 0.21/0.55 (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta)))))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[118, 84])).
% 0.21/0.55 tff(120,plain,
% 0.21/0.55 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~((~has_immunity(X!5, T1!3)) | (~greater(age(X!5, T1!3), eta))))) | ((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))),
% 0.21/0.55 inference(tautology,[status(thm)],[])).
% 0.21/0.55 tff(121,plain,
% 0.21/0.55 ((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3)),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[120, 119])).
% 0.21/0.55 tff(122,plain,
% 0.21/0.55 (smaller_or_equal(age(X!5, T1!3), eta)),
% 0.21/0.55 inference(and_elim,[status(thm)],[18])).
% 0.21/0.55 tff(123,plain,
% 0.21/0.55 ((~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | (~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3)),
% 0.21/0.55 inference(tautology,[status(thm)],[])).
% 0.21/0.55 tff(124,plain,
% 0.21/0.55 ((~((~smaller_or_equal(age(X!5, T1!3), eta)) | has_immunity(X!5, T1!3))) | has_immunity(X!5, T1!3)),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[123, 122])).
% 0.21/0.55 tff(125,plain,
% 0.21/0.55 (has_immunity(X!5, T1!3)),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[124, 121])).
% 0.21/0.55 tff(126,assumption,(~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))), introduced(assumption)).
% 0.21/0.55 tff(127,plain,
% 0.21/0.55 (^[X: $i, T0: $i, T: $i] : refl((has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X))) <=> (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X))))),
% 0.21/0.55 inference(bind,[status(th)],[])).
% 0.21/0.55 tff(128,plain,
% 0.21/0.55 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.21/0.55 inference(quant_intro,[status(thm)],[127])).
% 0.21/0.55 tff(129,plain,
% 0.21/0.55 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & has_immunity(X, T0) & (~has_immunity(X, T))) <=> (~((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)))), ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) <=> (~(~((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)))))), rewrite((~(~((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)))) <=> ((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T))), ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) <=> ((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)))), (((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite((((~organization(X)) | (~has_immunity(X, T0)) | has_immunity(X, T)) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))), (((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))))),
% 0.21/0.55 inference(bind,[status(th)],[])).
% 0.21/0.55 tff(130,plain,
% 0.21/0.55 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.21/0.55 inference(quant_intro,[status(thm)],[129])).
% 0.21/0.55 tff(131,plain,
% 0.21/0.55 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(132,plain,
% 0.21/0.55 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) <=> (organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))), ((((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ((organization(X) & has_immunity(X, T0) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))))), rewrite(((organization(X) & has_immunity(X, T0) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))), ((((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))))),
% 0.21/0.55 inference(bind,[status(th)],[])).
% 0.21/0.55 tff(133,plain,
% 0.21/0.55 (![X: $i, T0: $i, T: $i] : (((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[132])).
% 0.21/0.56 tff(134,axiom,(![X: $i, T0: $i, T: $i] : (((organization(X) & has_immunity(X, T0)) & (~has_immunity(X, T))) => greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_3')).
% 0.21/0.56 tff(135,plain,
% 0.21/0.56 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[134, 133])).
% 0.21/0.56 tff(136,plain,
% 0.21/0.56 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[135, 131])).
% 0.21/0.56 tff(137,plain,(
% 0.21/0.56 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & (~has_immunity(X, T)))) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)))),
% 0.21/0.56 inference(skolemize,[status(sab)],[136])).
% 0.21/0.56 tff(138,plain,
% 0.21/0.56 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[137, 130])).
% 0.21/0.56 tff(139,plain,
% 0.21/0.56 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[138, 128])).
% 0.21/0.56 tff(140,plain,
% 0.21/0.56 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(141,plain,
% 0.21/0.56 ((has_immunity(X!5, T2!2) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5))) <=> (greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(142,plain,
% 0.21/0.56 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (has_immunity(X!5, T2!2) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2)))),
% 0.21/0.56 inference(monotonicity,[status(thm)],[141])).
% 0.21/0.56 tff(143,plain,
% 0.21/0.56 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (has_immunity(X!5, T2!2) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2))),
% 0.21/0.56 inference(transitivity,[status(thm)],[142, 140])).
% 0.21/0.56 tff(144,plain,
% 0.21/0.56 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | (has_immunity(X!5, T2!2) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))),
% 0.21/0.56 inference(quant_inst,[status(thm)],[])).
% 0.21/0.56 tff(145,plain,
% 0.21/0.56 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~has_immunity(X, T0)) | (~organization(X)))) | greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) | (~organization(X!5)) | (~has_immunity(X!5, T1!3)) | has_immunity(X!5, T2!2)),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.21/0.56 tff(146,plain,
% 0.21/0.56 ($false),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[145, 139, 20, 126, 125, 117])).
% 0.21/0.56 tff(147,plain,(greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.56 tff(148,plain,
% 0.21/0.56 ((~![T: $i] : (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T), eta)) | has_immunity(X!5, T))) | (~((~has_immunity(X!5, T)) | (~greater(age(X!5, T), eta))))))) | (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))) | (~((~has_immunity(X!5, T0!4)) | (~greater(age(X!5, T0!4), eta))))))),
% 0.21/0.56 inference(quant_inst,[status(thm)],[])).
% 0.21/0.56 tff(149,plain,
% 0.21/0.56 (~((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))) | (~((~has_immunity(X!5, T0!4)) | (~greater(age(X!5, T0!4), eta)))))),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[148, 84])).
% 0.21/0.56 tff(150,plain,
% 0.21/0.56 (((~organization(X!5)) | (~((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))) | (~((~has_immunity(X!5, T0!4)) | (~greater(age(X!5, T0!4), eta))))) | ((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))),
% 0.21/0.56 inference(tautology,[status(thm)],[])).
% 0.21/0.56 tff(151,plain,
% 0.21/0.56 ((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4)),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[150, 149])).
% 0.21/0.56 tff(152,plain,
% 0.21/0.56 (smaller_or_equal(age(X!5, T0!4), eta) <=> smaller_or_equal(zero, eta)),
% 0.21/0.56 inference(monotonicity,[status(thm)],[19])).
% 0.21/0.56 tff(153,plain,
% 0.21/0.56 (smaller_or_equal(zero, eta) <=> smaller_or_equal(age(X!5, T0!4), eta)),
% 0.21/0.56 inference(symmetry,[status(thm)],[152])).
% 0.21/0.56 tff(154,plain,
% 0.21/0.56 (^[X: $i, Y: $i] : refl((smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(155,plain,
% 0.21/0.56 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[154])).
% 0.21/0.56 tff(156,plain,
% 0.21/0.56 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(157,plain,
% 0.21/0.56 (^[X: $i, Y: $i] : rewrite((smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y))) <=> (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(158,plain,
% 0.21/0.56 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y))) <=> ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[157])).
% 0.21/0.56 tff(159,axiom,(![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y)))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_smaller_or_equal')).
% 0.21/0.56 tff(160,plain,
% 0.21/0.56 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[159, 158])).
% 0.21/0.56 tff(161,plain,
% 0.21/0.56 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[160, 156])).
% 0.21/0.56 tff(162,plain,(
% 0.21/0.56 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.31/0.56 inference(skolemize,[status(sab)],[161])).
% 0.31/0.56 tff(163,plain,
% 0.31/0.56 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.31/0.56 inference(modus_ponens,[status(thm)],[162, 155])).
% 0.31/0.56 tff(164,plain,
% 0.31/0.56 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(zero, eta) <=> ((zero = eta) | smaller(zero, eta)))),
% 0.31/0.56 inference(quant_inst,[status(thm)],[])).
% 0.31/0.56 tff(165,plain,
% 0.31/0.56 (smaller_or_equal(zero, eta) <=> ((zero = eta) | smaller(zero, eta))),
% 0.31/0.56 inference(unit_resolution,[status(thm)],[164, 163])).
% 0.31/0.56 tff(166,plain,
% 0.31/0.56 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(zero, eta) <=> greater(eta, zero))),
% 0.31/0.56 inference(quant_inst,[status(thm)],[])).
% 0.31/0.56 tff(167,plain,
% 0.31/0.56 (smaller(zero, eta) <=> greater(eta, zero)),
% 0.31/0.56 inference(unit_resolution,[status(thm)],[166, 7])).
% 0.31/0.56 tff(168,plain,
% 0.31/0.56 (greater(eta, zero)),
% 0.31/0.56 inference(and_elim,[status(thm)],[18])).
% 0.31/0.56 tff(169,plain,
% 0.31/0.56 ((~(smaller(zero, eta) <=> greater(eta, zero))) | smaller(zero, eta) | (~greater(eta, zero))),
% 0.31/0.56 inference(tautology,[status(thm)],[])).
% 0.31/0.56 tff(170,plain,
% 0.31/0.56 ((~(smaller(zero, eta) <=> greater(eta, zero))) | smaller(zero, eta)),
% 0.31/0.56 inference(unit_resolution,[status(thm)],[169, 168])).
% 0.31/0.56 tff(171,plain,
% 0.31/0.56 (smaller(zero, eta)),
% 0.31/0.56 inference(unit_resolution,[status(thm)],[170, 167])).
% 0.31/0.56 tff(172,plain,
% 0.31/0.56 (((zero = eta) | smaller(zero, eta)) | (~smaller(zero, eta))),
% 0.31/0.56 inference(tautology,[status(thm)],[])).
% 0.31/0.56 tff(173,plain,
% 0.31/0.56 ((zero = eta) | smaller(zero, eta)),
% 0.31/0.56 inference(unit_resolution,[status(thm)],[172, 171])).
% 0.31/0.56 tff(174,plain,
% 0.31/0.56 ((~(smaller_or_equal(zero, eta) <=> ((zero = eta) | smaller(zero, eta)))) | smaller_or_equal(zero, eta) | (~((zero = eta) | smaller(zero, eta)))),
% 0.31/0.56 inference(tautology,[status(thm)],[])).
% 0.31/0.56 tff(175,plain,
% 0.31/0.56 ((~(smaller_or_equal(zero, eta) <=> ((zero = eta) | smaller(zero, eta)))) | smaller_or_equal(zero, eta)),
% 0.31/0.56 inference(unit_resolution,[status(thm)],[174, 173])).
% 0.31/0.56 tff(176,plain,
% 0.31/0.56 (smaller_or_equal(zero, eta)),
% 0.31/0.56 inference(unit_resolution,[status(thm)],[175, 165])).
% 0.31/0.56 tff(177,plain,
% 0.31/0.56 (smaller_or_equal(age(X!5, T0!4), eta)),
% 0.31/0.56 inference(modus_ponens,[status(thm)],[176, 153])).
% 0.31/0.56 tff(178,plain,
% 0.31/0.56 ((~((~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4))) | (~smaller_or_equal(age(X!5, T0!4), eta)) | has_immunity(X!5, T0!4)),
% 0.31/0.56 inference(tautology,[status(thm)],[])).
% 0.31/0.56 tff(179,plain,
% 0.31/0.56 (has_immunity(X!5, T0!4)),
% 0.31/0.56 inference(unit_resolution,[status(thm)],[178, 177, 151])).
% 0.31/0.56 tff(180,assumption,(~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))), introduced(assumption)).
% 0.31/0.56 tff(181,plain,
% 0.31/0.56 (^[X: $i, T0: $i, T: $i] : refl(((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))) <=> ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))),
% 0.31/0.56 inference(bind,[status(th)],[])).
% 0.31/0.56 tff(182,plain,
% 0.31/0.56 (![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))) <=> ![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.31/0.56 inference(quant_intro,[status(thm)],[181])).
% 0.31/0.56 tff(183,plain,
% 0.31/0.56 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & has_immunity(X, T0) & has_immunity(X, T)) <=> (~((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))), ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) <=> (~(~((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))))), rewrite((~(~((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))) <=> ((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))), ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) <=> ((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))))), (((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> (((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))))), rewrite((((~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))), (((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))))),
% 0.31/0.56 inference(bind,[status(th)],[])).
% 0.31/0.56 tff(184,plain,
% 0.31/0.56 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.31/0.56 inference(quant_intro,[status(thm)],[183])).
% 0.31/0.56 tff(185,plain,
% 0.31/0.56 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.31/0.56 inference(rewrite,[status(thm)],[])).
% 0.31/0.56 tff(186,plain,
% 0.31/0.56 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) <=> (organization(X) & has_immunity(X, T0) & has_immunity(X, T))), ((((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((organization(X) & has_immunity(X, T0) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))))), rewrite(((organization(X) & has_immunity(X, T0) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))), ((((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))))),
% 0.31/0.56 inference(bind,[status(th)],[])).
% 0.31/0.56 tff(187,plain,
% 0.31/0.56 (![X: $i, T0: $i, T: $i] : (((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.31/0.56 inference(quant_intro,[status(thm)],[186])).
% 0.31/0.56 tff(188,axiom,(![X: $i, T0: $i, T: $i] : (((organization(X) & has_immunity(X, T0)) & has_immunity(X, T)) => (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_2')).
% 0.31/0.56 tff(189,plain,
% 0.31/0.56 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.31/0.56 inference(modus_ponens,[status(thm)],[188, 187])).
% 0.31/0.56 tff(190,plain,
% 0.31/0.56 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.31/0.56 inference(modus_ponens,[status(thm)],[189, 185])).
% 0.31/0.56 tff(191,plain,(
% 0.31/0.56 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)))),
% 0.31/0.56 inference(skolemize,[status(sab)],[190])).
% 0.31/0.56 tff(192,plain,
% 0.31/0.56 (![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.31/0.56 inference(modus_ponens,[status(thm)],[191, 184])).
% 0.31/0.56 tff(193,plain,
% 0.31/0.56 (![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))),
% 0.31/0.56 inference(modus_ponens,[status(thm)],[192, 182])).
% 0.31/0.56 tff(194,plain,
% 0.31/0.56 (((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)))) <=> ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)))),
% 0.31/0.56 inference(rewrite,[status(thm)],[])).
% 0.31/0.56 tff(195,plain,
% 0.31/0.56 (((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5))) <=> ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)))),
% 0.31/0.56 inference(rewrite,[status(thm)],[])).
% 0.31/0.56 tff(196,plain,
% 0.31/0.56 (((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3))))),
% 0.31/0.56 inference(monotonicity,[status(thm)],[195])).
% 0.31/0.56 tff(197,plain,
% 0.31/0.56 (((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))) <=> ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)))),
% 0.31/0.56 inference(transitivity,[status(thm)],[196, 194])).
% 0.31/0.56 tff(198,plain,
% 0.31/0.56 ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | ((hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3)) | (~organization(X!5)))),
% 0.31/0.56 inference(quant_inst,[status(thm)],[])).
% 0.31/0.56 tff(199,plain,
% 0.31/0.56 ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~has_immunity(X, T0)) | (~organization(X)))) | (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)) | (~organization(X!5)) | (~has_immunity(X!5, T0!4)) | (~has_immunity(X!5, T1!3))),
% 0.31/0.56 inference(modus_ponens,[status(thm)],[198, 197])).
% 0.31/0.56 tff(200,plain,
% 0.31/0.56 ($false),
% 0.31/0.56 inference(unit_resolution,[status(thm)],[199, 193, 20, 180, 179, 125])).
% 0.31/0.56 tff(201,plain,(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)), inference(lemma,lemma(discharge,[]))).
% 0.31/0.56 tff(202,plain,
% 0.31/0.56 ((~(~((~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))) | (~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))))) <=> ((~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))) | (~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))),
% 0.31/0.57 inference(rewrite,[status(thm)],[])).
% 0.31/0.57 tff(203,plain,
% 0.31/0.57 ((greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) & greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))) <=> (~((~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))) | (~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))))),
% 0.31/0.57 inference(rewrite,[status(thm)],[])).
% 0.31/0.57 tff(204,plain,
% 0.31/0.57 ((~(greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) & greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))) <=> (~(~((~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))) | (~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))))),
% 0.31/0.57 inference(monotonicity,[status(thm)],[203])).
% 0.31/0.57 tff(205,plain,
% 0.31/0.57 ((~(greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) & greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))) <=> ((~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))) | (~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4))))),
% 0.31/0.57 inference(transitivity,[status(thm)],[204, 202])).
% 0.31/0.57 tff(206,plain,
% 0.31/0.57 (~(greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) & greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)) & (hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))),
% 0.31/0.57 inference(or_elim,[status(thm)],[17])).
% 0.31/0.57 tff(207,plain,
% 0.31/0.57 ((~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))) | (~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3))) | (~(hazard_of_mortality(X!5, T1!3) = hazard_of_mortality(X!5, T0!4)))),
% 0.31/0.57 inference(modus_ponens,[status(thm)],[206, 205])).
% 0.31/0.57 tff(208,plain,
% 0.31/0.57 ((~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))) | (~greater(hazard_of_mortality(X!5, T2!2), hazard_of_mortality(X!5, T1!3)))),
% 0.31/0.57 inference(unit_resolution,[status(thm)],[207, 201])).
% 0.31/0.57 tff(209,plain,
% 0.31/0.57 (~greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2))),
% 0.31/0.57 inference(unit_resolution,[status(thm)],[208, 147])).
% 0.31/0.57 tff(210,plain,
% 0.31/0.57 (^[X: $i, T0: $i, T: $i] : refl((has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))) <=> (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))))),
% 0.31/0.57 inference(bind,[status(th)],[])).
% 0.31/0.57 tff(211,plain,
% 0.31/0.57 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))),
% 0.31/0.57 inference(quant_intro,[status(thm)],[210])).
% 0.31/0.57 tff(212,plain,
% 0.31/0.57 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0))) <=> (~(has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))))), ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) <=> (~(~(has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))))))), rewrite((~(~(has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))), ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) <=> (has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))))), (((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))) <=> ((has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))))), rewrite(((has_immunity(X, T) | has_immunity(X, T0) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))) <=> (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))), (((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))) <=> (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))))),
% 0.31/0.57 inference(bind,[status(th)],[])).
% 0.31/0.57 tff(213,plain,
% 0.31/0.57 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))),
% 0.31/0.57 inference(quant_intro,[status(thm)],[212])).
% 0.31/0.57 tff(214,plain,
% 0.31/0.57 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)))),
% 0.31/0.57 inference(rewrite,[status(thm)],[])).
% 0.31/0.57 tff(215,plain,
% 0.31/0.57 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite(((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) <=> (organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)))), ((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) & greater(capability(X, T), capability(X, T0))) <=> ((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T))) & greater(capability(X, T), capability(X, T0))))), rewrite(((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T))) & greater(capability(X, T), capability(X, T0))) <=> (organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))), ((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) & greater(capability(X, T), capability(X, T0))) <=> (organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0))))), (((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) & greater(capability(X, T), capability(X, T0))) => greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))) <=> ((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0))) => greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))))), rewrite(((organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0))) => greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))) <=> ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)))), (((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) & greater(capability(X, T), capability(X, T0))) => greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))) <=> ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)))))),
% 0.31/0.57 inference(bind,[status(th)],[])).
% 0.31/0.57 tff(216,plain,
% 0.31/0.57 (![X: $i, T0: $i, T: $i] : ((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) & greater(capability(X, T), capability(X, T0))) => greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)))),
% 0.31/0.57 inference(quant_intro,[status(thm)],[215])).
% 0.31/0.57 tff(217,axiom,(![X: $i, T0: $i, T: $i] : ((((organization(X) & (~has_immunity(X, T0))) & (~has_immunity(X, T))) & greater(capability(X, T), capability(X, T0))) => greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_16')).
% 0.31/0.57 tff(218,plain,
% 0.31/0.57 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)))),
% 0.31/0.57 inference(modus_ponens,[status(thm)],[217, 216])).
% 0.31/0.57 tff(219,plain,
% 0.31/0.57 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)))),
% 0.31/0.57 inference(modus_ponens,[status(thm)],[218, 214])).
% 0.31/0.57 tff(220,plain,(
% 0.31/0.57 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (~has_immunity(X, T0)) & (~has_immunity(X, T)) & greater(capability(X, T), capability(X, T0)))) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)))),
% 0.31/0.57 inference(skolemize,[status(sab)],[219])).
% 0.31/0.57 tff(221,plain,
% 0.31/0.57 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))),
% 0.31/0.57 inference(modus_ponens,[status(thm)],[220, 213])).
% 0.31/0.57 tff(222,plain,
% 0.31/0.57 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))),
% 0.31/0.57 inference(modus_ponens,[status(thm)],[221, 211])).
% 0.31/0.57 tff(223,plain,
% 0.31/0.57 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))) | (greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))),
% 0.31/0.57 inference(rewrite,[status(thm)],[])).
% 0.31/0.57 tff(224,plain,
% 0.31/0.57 ((has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1)))) <=> (greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))),
% 0.31/0.57 inference(rewrite,[status(thm)],[])).
% 0.31/0.57 tff(225,plain,
% 0.31/0.57 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))) | (has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))) | (greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1)))))),
% 0.31/0.57 inference(monotonicity,[status(thm)],[224])).
% 0.31/0.57 tff(226,plain,
% 0.31/0.57 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))) | (has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))),
% 0.31/0.57 inference(transitivity,[status(thm)],[225, 223])).
% 0.31/0.57 tff(227,plain,
% 0.31/0.57 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))) | (has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1))))),
% 0.31/0.57 inference(quant_inst,[status(thm)],[])).
% 0.31/0.57 tff(228,plain,
% 0.31/0.57 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | has_immunity(X, T0) | greater(hazard_of_mortality(X, T0), hazard_of_mortality(X, T)) | (~organization(X)) | (~greater(capability(X, T), capability(X, T0))))) | greater(hazard_of_mortality(X!5, T3!1), hazard_of_mortality(X!5, T2!2)) | (~organization(X!5)) | has_immunity(X!5, T2!2) | has_immunity(X!5, T3!1) | (~greater(capability(X!5, T2!2), capability(X!5, T3!1)))),
% 0.31/0.57 inference(modus_ponens,[status(thm)],[227, 226])).
% 0.31/0.57 tff(229,plain,
% 0.31/0.57 (~greater(capability(X!5, T2!2), capability(X!5, T3!1))),
% 0.31/0.57 inference(unit_resolution,[status(thm)],[228, 222, 20, 209, 117, 109])).
% 0.31/0.57 tff(230,plain,
% 0.31/0.57 ((~![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))) | (~(((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1))) <=> dissimilar(X!5, T0!4, T3!1)))),
% 0.31/0.57 inference(quant_inst,[status(thm)],[])).
% 0.31/0.57 tff(231,plain,
% 0.31/0.57 (~(((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1))) <=> dissimilar(X!5, T0!4, T3!1))),
% 0.31/0.57 inference(unit_resolution,[status(thm)],[230, 50])).
% 0.31/0.57 tff(232,plain,
% 0.31/0.57 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)))),
% 0.31/0.57 inference(rewrite,[status(thm)],[])).
% 0.31/0.57 tff(233,plain,
% 0.31/0.57 (((greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero))) <=> ((~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)))),
% 0.31/0.57 inference(rewrite,[status(thm)],[])).
% 0.31/0.57 tff(234,plain,
% 0.31/0.57 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1))))),
% 0.31/0.57 inference(monotonicity,[status(thm)],[233])).
% 0.31/0.57 tff(235,plain,
% 0.31/0.57 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)))),
% 0.31/0.57 inference(transitivity,[status(thm)],[234, 232])).
% 0.31/0.57 tff(236,plain,
% 0.31/0.57 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))),
% 0.31/0.57 inference(quant_inst,[status(thm)],[])).
% 0.31/0.57 tff(237,plain,
% 0.31/0.57 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)) | (greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1))),
% 0.31/0.57 inference(modus_ponens,[status(thm)],[236, 235])).
% 0.31/0.57 tff(238,plain,
% 0.31/0.57 (greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1)),
% 0.31/0.57 inference(unit_resolution,[status(thm)],[237, 33, 20, 19])).
% 0.31/0.57 tff(239,plain,
% 0.31/0.57 ((~(greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1))) | (~greater(age(X!5, T3!1), sigma)) | dissimilar(X!5, T0!4, T3!1)),
% 0.31/0.57 inference(tautology,[status(thm)],[])).
% 0.31/0.57 tff(240,plain,
% 0.31/0.57 ((~(greater(age(X!5, T3!1), sigma) <=> dissimilar(X!5, T0!4, T3!1))) | dissimilar(X!5, T0!4, T3!1)),
% 0.31/0.57 inference(unit_resolution,[status(thm)],[239, 90])).
% 0.31/0.57 tff(241,plain,
% 0.31/0.57 (dissimilar(X!5, T0!4, T3!1)),
% 0.31/0.57 inference(unit_resolution,[status(thm)],[240, 238])).
% 0.31/0.57 tff(242,plain,
% 0.31/0.57 ((((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1))) <=> dissimilar(X!5, T0!4, T3!1)) | (~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1)))) | (~dissimilar(X!5, T0!4, T3!1))),
% 0.31/0.58 inference(tautology,[status(thm)],[])).
% 0.31/0.58 tff(243,plain,
% 0.31/0.58 ((((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1))) <=> dissimilar(X!5, T0!4, T3!1)) | (~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1))))),
% 0.31/0.58 inference(unit_resolution,[status(thm)],[242, 241])).
% 0.31/0.58 tff(244,plain,
% 0.31/0.58 (~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1)))),
% 0.31/0.58 inference(unit_resolution,[status(thm)],[243, 231])).
% 0.31/0.58 tff(245,plain,
% 0.31/0.58 (((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1))) | (~(is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1)))),
% 0.31/0.58 inference(tautology,[status(thm)],[])).
% 0.31/0.58 tff(246,plain,
% 0.31/0.58 (~(is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1))),
% 0.31/0.58 inference(unit_resolution,[status(thm)],[245, 244])).
% 0.31/0.58 tff(247,plain,
% 0.31/0.58 (^[X: $i, T: $i] : refl((is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero))) <=> (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero))))),
% 0.31/0.58 inference(bind,[status(th)],[])).
% 0.31/0.58 tff(248,plain,
% 0.31/0.58 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero))) <=> ![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.31/0.58 inference(quant_intro,[status(thm)],[247])).
% 0.31/0.58 tff(249,plain,
% 0.31/0.58 (^[X: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (age(X, T) = zero)) <=> (~((~organization(X)) | (~(age(X, T) = zero))))), ((~(organization(X) & (age(X, T) = zero))) <=> (~(~((~organization(X)) | (~(age(X, T) = zero))))))), rewrite((~(~((~organization(X)) | (~(age(X, T) = zero))))) <=> ((~organization(X)) | (~(age(X, T) = zero)))), ((~(organization(X) & (age(X, T) = zero))) <=> ((~organization(X)) | (~(age(X, T) = zero))))), (((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)) <=> (((~organization(X)) | (~(age(X, T) = zero))) | is_aligned(X, T)))), rewrite((((~organization(X)) | (~(age(X, T) = zero))) | is_aligned(X, T)) <=> (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))), (((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)) <=> (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))))),
% 0.31/0.58 inference(bind,[status(th)],[])).
% 0.31/0.58 tff(250,plain,
% 0.31/0.58 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)) <=> ![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.31/0.58 inference(quant_intro,[status(thm)],[249])).
% 0.31/0.58 tff(251,plain,
% 0.31/0.58 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)) <=> ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.31/0.58 inference(rewrite,[status(thm)],[])).
% 0.31/0.58 tff(252,plain,
% 0.31/0.58 (^[X: $i, T: $i] : rewrite(((organization(X) & (age(X, T) = zero)) => is_aligned(X, T)) <=> ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)))),
% 0.31/0.58 inference(bind,[status(th)],[])).
% 0.31/0.58 tff(253,plain,
% 0.31/0.58 (![X: $i, T: $i] : ((organization(X) & (age(X, T) = zero)) => is_aligned(X, T)) <=> ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.31/0.58 inference(quant_intro,[status(thm)],[252])).
% 0.31/0.58 tff(254,axiom,(![X: $i, T: $i] : ((organization(X) & (age(X, T) = zero)) => is_aligned(X, T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_13')).
% 0.31/0.58 tff(255,plain,
% 0.31/0.58 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.31/0.58 inference(modus_ponens,[status(thm)],[254, 253])).
% 0.31/0.58 tff(256,plain,
% 0.31/0.58 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.31/0.58 inference(modus_ponens,[status(thm)],[255, 251])).
% 0.31/0.58 tff(257,plain,(
% 0.31/0.58 ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.31/0.58 inference(skolemize,[status(sab)],[256])).
% 0.31/0.58 tff(258,plain,
% 0.31/0.58 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.31/0.58 inference(modus_ponens,[status(thm)],[257, 250])).
% 0.31/0.58 tff(259,plain,
% 0.31/0.58 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.31/0.58 inference(modus_ponens,[status(thm)],[258, 248])).
% 0.31/0.58 tff(260,plain,
% 0.31/0.58 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | ((~organization(X!5)) | is_aligned(X!5, T0!4) | (~(age(X!5, T0!4) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (~organization(X!5)) | is_aligned(X!5, T0!4) | (~(age(X!5, T0!4) = zero)))),
% 0.31/0.58 inference(rewrite,[status(thm)],[])).
% 0.31/0.58 tff(261,plain,
% 0.31/0.58 ((is_aligned(X!5, T0!4) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero))) <=> ((~organization(X!5)) | is_aligned(X!5, T0!4) | (~(age(X!5, T0!4) = zero)))),
% 0.31/0.58 inference(rewrite,[status(thm)],[])).
% 0.31/0.58 tff(262,plain,
% 0.31/0.58 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!5, T0!4) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | ((~organization(X!5)) | is_aligned(X!5, T0!4) | (~(age(X!5, T0!4) = zero))))),
% 0.31/0.58 inference(monotonicity,[status(thm)],[261])).
% 0.31/0.58 tff(263,plain,
% 0.31/0.58 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!5, T0!4) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (~organization(X!5)) | is_aligned(X!5, T0!4) | (~(age(X!5, T0!4) = zero)))),
% 0.31/0.58 inference(transitivity,[status(thm)],[262, 260])).
% 0.31/0.58 tff(264,plain,
% 0.31/0.58 ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!5, T0!4) | (~organization(X!5)) | (~(age(X!5, T0!4) = zero)))),
% 0.31/0.58 inference(quant_inst,[status(thm)],[])).
% 0.31/0.58 tff(265,plain,
% 0.31/0.58 ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (~organization(X!5)) | is_aligned(X!5, T0!4) | (~(age(X!5, T0!4) = zero))),
% 0.31/0.58 inference(modus_ponens,[status(thm)],[264, 263])).
% 0.31/0.58 tff(266,plain,
% 0.31/0.58 (is_aligned(X!5, T0!4)),
% 0.31/0.58 inference(unit_resolution,[status(thm)],[265, 259, 20, 19])).
% 0.31/0.58 tff(267,plain,
% 0.31/0.58 ((is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1)) | (~is_aligned(X!5, T0!4)) | (~is_aligned(X!5, T3!1))),
% 0.31/0.58 inference(tautology,[status(thm)],[])).
% 0.31/0.58 tff(268,plain,
% 0.31/0.58 ((is_aligned(X!5, T0!4) <=> is_aligned(X!5, T3!1)) | (~is_aligned(X!5, T3!1))),
% 0.31/0.58 inference(unit_resolution,[status(thm)],[267, 266])).
% 0.31/0.58 tff(269,plain,
% 0.31/0.58 (~is_aligned(X!5, T3!1)),
% 0.31/0.58 inference(unit_resolution,[status(thm)],[268, 246])).
% 0.31/0.58 tff(270,plain,
% 0.31/0.58 (^[X: $i, T0: $i, T: $i] : refl((is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0))) <=> (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0))))),
% 0.31/0.58 inference(bind,[status(th)],[])).
% 0.31/0.58 tff(271,plain,
% 0.31/0.58 (![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0))) <=> ![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))),
% 0.31/0.58 inference(quant_intro,[status(thm)],[270])).
% 0.31/0.58 tff(272,plain,
% 0.31/0.58 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & is_aligned(X, T0) & (~is_aligned(X, T))) <=> (~((~organization(X)) | (~is_aligned(X, T0)) | is_aligned(X, T)))), ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) <=> (~(~((~organization(X)) | (~is_aligned(X, T0)) | is_aligned(X, T)))))), rewrite((~(~((~organization(X)) | (~is_aligned(X, T0)) | is_aligned(X, T)))) <=> ((~organization(X)) | (~is_aligned(X, T0)) | is_aligned(X, T))), ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) <=> ((~organization(X)) | (~is_aligned(X, T0)) | is_aligned(X, T)))), (((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T))) <=> (((~organization(X)) | (~is_aligned(X, T0)) | is_aligned(X, T)) | greater(capability(X, T0), capability(X, T))))), rewrite((((~organization(X)) | (~is_aligned(X, T0)) | is_aligned(X, T)) | greater(capability(X, T0), capability(X, T))) <=> (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))), (((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T))) <=> (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))))),
% 0.31/0.58 inference(bind,[status(th)],[])).
% 0.31/0.58 tff(273,plain,
% 0.31/0.58 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T))) <=> ![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))),
% 0.31/0.58 inference(quant_intro,[status(thm)],[272])).
% 0.31/0.58 tff(274,plain,
% 0.31/0.58 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))),
% 0.31/0.58 inference(rewrite,[status(thm)],[])).
% 0.31/0.58 tff(275,plain,
% 0.31/0.58 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(rewrite(((organization(X) & is_aligned(X, T0)) & (~is_aligned(X, T))) <=> (organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))), ((((organization(X) & is_aligned(X, T0)) & (~is_aligned(X, T))) => greater(capability(X, T0), capability(X, T))) <=> ((organization(X) & is_aligned(X, T0) & (~is_aligned(X, T))) => greater(capability(X, T0), capability(X, T))))), rewrite(((organization(X) & is_aligned(X, T0) & (~is_aligned(X, T))) => greater(capability(X, T0), capability(X, T))) <=> ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))), ((((organization(X) & is_aligned(X, T0)) & (~is_aligned(X, T))) => greater(capability(X, T0), capability(X, T))) <=> ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))))),
% 0.31/0.58 inference(bind,[status(th)],[])).
% 0.31/0.58 tff(276,plain,
% 0.31/0.58 (![X: $i, T0: $i, T: $i] : (((organization(X) & is_aligned(X, T0)) & (~is_aligned(X, T))) => greater(capability(X, T0), capability(X, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))),
% 0.31/0.58 inference(quant_intro,[status(thm)],[275])).
% 0.31/0.58 tff(277,axiom,(![X: $i, T0: $i, T: $i] : (((organization(X) & is_aligned(X, T0)) & (~is_aligned(X, T))) => greater(capability(X, T0), capability(X, T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_14')).
% 0.31/0.58 tff(278,plain,
% 0.31/0.58 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))),
% 0.31/0.58 inference(modus_ponens,[status(thm)],[277, 276])).
% 0.31/0.58 tff(279,plain,
% 0.31/0.58 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))),
% 0.31/0.58 inference(modus_ponens,[status(thm)],[278, 274])).
% 0.31/0.58 tff(280,plain,(
% 0.31/0.58 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & is_aligned(X, T0) & (~is_aligned(X, T)))) | greater(capability(X, T0), capability(X, T)))),
% 0.31/0.58 inference(skolemize,[status(sab)],[279])).
% 0.31/0.58 tff(281,plain,
% 0.31/0.58 (![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))),
% 0.31/0.58 inference(modus_ponens,[status(thm)],[280, 273])).
% 0.31/0.58 tff(282,plain,
% 0.31/0.58 (![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))),
% 0.31/0.58 inference(modus_ponens,[status(thm)],[281, 271])).
% 0.31/0.58 tff(283,plain,
% 0.31/0.58 (((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))) | ((~organization(X!5)) | is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~is_aligned(X!5, T2!2)))) <=> ((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))) | (~organization(X!5)) | is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~is_aligned(X!5, T2!2)))),
% 0.31/0.58 inference(rewrite,[status(thm)],[])).
% 0.31/0.58 tff(284,plain,
% 0.31/0.58 ((is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~organization(X!5)) | (~is_aligned(X!5, T2!2))) <=> ((~organization(X!5)) | is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~is_aligned(X!5, T2!2)))),
% 0.31/0.58 inference(rewrite,[status(thm)],[])).
% 0.31/0.58 tff(285,plain,
% 0.31/0.58 (((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))) | (is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~organization(X!5)) | (~is_aligned(X!5, T2!2)))) <=> ((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))) | ((~organization(X!5)) | is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~is_aligned(X!5, T2!2))))),
% 0.31/0.58 inference(monotonicity,[status(thm)],[284])).
% 0.31/0.58 tff(286,plain,
% 0.31/0.58 (((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))) | (is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~organization(X!5)) | (~is_aligned(X!5, T2!2)))) <=> ((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))) | (~organization(X!5)) | is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~is_aligned(X!5, T2!2)))),
% 0.31/0.58 inference(transitivity,[status(thm)],[285, 283])).
% 0.31/0.58 tff(287,plain,
% 0.31/0.58 ((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))) | (is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~organization(X!5)) | (~is_aligned(X!5, T2!2)))),
% 0.31/0.58 inference(quant_inst,[status(thm)],[])).
% 0.31/0.58 tff(288,plain,
% 0.31/0.58 ((~![X: $i, T0: $i, T: $i] : (is_aligned(X, T) | greater(capability(X, T0), capability(X, T)) | (~organization(X)) | (~is_aligned(X, T0)))) | (~organization(X!5)) | is_aligned(X!5, T3!1) | greater(capability(X!5, T2!2), capability(X!5, T3!1)) | (~is_aligned(X!5, T2!2))),
% 0.31/0.58 inference(modus_ponens,[status(thm)],[287, 286])).
% 0.31/0.58 tff(289,plain,
% 0.31/0.58 (~is_aligned(X!5, T2!2)),
% 0.31/0.58 inference(unit_resolution,[status(thm)],[288, 282, 20, 269, 229])).
% 0.31/0.58 tff(290,plain,
% 0.31/0.58 ((~(is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2))) | (~is_aligned(X!5, T0!4)) | is_aligned(X!5, T2!2)),
% 0.31/0.58 inference(tautology,[status(thm)],[])).
% 0.31/0.58 tff(291,plain,
% 0.31/0.58 (~(is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2))),
% 0.31/0.58 inference(unit_resolution,[status(thm)],[290, 266, 289])).
% 0.31/0.58 tff(292,plain,
% 0.31/0.58 ((~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2)))) | (~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2))),
% 0.31/0.58 inference(tautology,[status(thm)],[])).
% 0.31/0.58 tff(293,plain,
% 0.31/0.58 (~((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2)))),
% 0.31/0.58 inference(unit_resolution,[status(thm)],[292, 20, 291])).
% 0.31/0.58 tff(294,plain,
% 0.31/0.58 ((((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2))) <=> dissimilar(X!5, T0!4, T2!2)) | ((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2))) | dissimilar(X!5, T0!4, T2!2)),
% 0.31/0.58 inference(tautology,[status(thm)],[])).
% 0.31/0.58 tff(295,plain,
% 0.31/0.58 ((((~organization(X!5)) | (is_aligned(X!5, T0!4) <=> is_aligned(X!5, T2!2))) <=> dissimilar(X!5, T0!4, T2!2)) | dissimilar(X!5, T0!4, T2!2)),
% 0.31/0.58 inference(unit_resolution,[status(thm)],[294, 293])).
% 0.31/0.58 tff(296,plain,
% 0.31/0.58 (dissimilar(X!5, T0!4, T2!2)),
% 0.31/0.58 inference(unit_resolution,[status(thm)],[295, 52])).
% 0.31/0.58 tff(297,plain,
% 0.31/0.58 ((~(greater(age(X!5, T2!2), sigma) <=> dissimilar(X!5, T0!4, T2!2))) | greater(age(X!5, T2!2), sigma) | (~dissimilar(X!5, T0!4, T2!2))),
% 0.31/0.58 inference(tautology,[status(thm)],[])).
% 0.31/0.58 tff(298,plain,
% 0.31/0.58 (greater(age(X!5, T2!2), sigma)),
% 0.31/0.58 inference(unit_resolution,[status(thm)],[297, 296, 40])).
% 0.31/0.58 tff(299,plain,
% 0.31/0.58 (^[X: $i, Y: $i] : refl(((~greater(X, Y)) | (~greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X))))),
% 0.31/0.58 inference(bind,[status(th)],[])).
% 0.31/0.58 tff(300,plain,
% 0.31/0.58 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.31/0.58 inference(quant_intro,[status(thm)],[299])).
% 0.31/0.58 tff(301,plain,
% 0.31/0.58 (^[X: $i, Y: $i] : trans(monotonicity(rewrite((greater(X, Y) & greater(Y, X)) <=> (~((~greater(X, Y)) | (~greater(Y, X))))), ((~(greater(X, Y) & greater(Y, X))) <=> (~(~((~greater(X, Y)) | (~greater(Y, X))))))), rewrite((~(~((~greater(X, Y)) | (~greater(Y, X))))) <=> ((~greater(X, Y)) | (~greater(Y, X)))), ((~(greater(X, Y) & greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X)))))),
% 0.31/0.58 inference(bind,[status(th)],[])).
% 0.31/0.58 tff(302,plain,
% 0.31/0.58 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.31/0.59 inference(quant_intro,[status(thm)],[301])).
% 0.31/0.59 tff(303,plain,
% 0.31/0.59 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.31/0.59 inference(rewrite,[status(thm)],[])).
% 0.31/0.59 tff(304,axiom,(![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_strict')).
% 0.31/0.59 tff(305,plain,
% 0.31/0.59 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.31/0.59 inference(modus_ponens,[status(thm)],[304, 303])).
% 0.31/0.59 tff(306,plain,(
% 0.31/0.59 ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.31/0.59 inference(skolemize,[status(sab)],[305])).
% 0.31/0.59 tff(307,plain,
% 0.31/0.59 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.31/0.59 inference(modus_ponens,[status(thm)],[306, 302])).
% 0.31/0.59 tff(308,plain,
% 0.31/0.59 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.31/0.59 inference(modus_ponens,[status(thm)],[307, 300])).
% 0.31/0.59 tff(309,plain,
% 0.31/0.59 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(sigma, age(X!5, T2!2))) | (~greater(age(X!5, T2!2), sigma)))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(sigma, age(X!5, T2!2))) | (~greater(age(X!5, T2!2), sigma)))),
% 0.31/0.59 inference(rewrite,[status(thm)],[])).
% 0.31/0.59 tff(310,plain,
% 0.31/0.59 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(sigma, age(X!5, T2!2))) | (~greater(age(X!5, T2!2), sigma)))),
% 0.31/0.59 inference(quant_inst,[status(thm)],[])).
% 0.31/0.59 tff(311,plain,
% 0.31/0.59 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(sigma, age(X!5, T2!2))) | (~greater(age(X!5, T2!2), sigma))),
% 0.31/0.59 inference(modus_ponens,[status(thm)],[310, 309])).
% 0.31/0.59 tff(312,plain,
% 0.31/0.59 ((~greater(sigma, age(X!5, T2!2))) | (~greater(age(X!5, T2!2), sigma))),
% 0.31/0.59 inference(unit_resolution,[status(thm)],[311, 308])).
% 0.31/0.59 tff(313,plain,
% 0.31/0.59 (~greater(sigma, age(X!5, T2!2))),
% 0.31/0.59 inference(unit_resolution,[status(thm)],[312, 298])).
% 0.31/0.59 tff(314,plain,
% 0.31/0.59 ((~(smaller(age(X!5, T2!2), sigma) <=> greater(sigma, age(X!5, T2!2)))) | (~smaller(age(X!5, T2!2), sigma)) | greater(sigma, age(X!5, T2!2))),
% 0.31/0.59 inference(tautology,[status(thm)],[])).
% 0.31/0.59 tff(315,plain,
% 0.31/0.59 ((~(smaller(age(X!5, T2!2), sigma) <=> greater(sigma, age(X!5, T2!2)))) | (~smaller(age(X!5, T2!2), sigma))),
% 0.31/0.59 inference(unit_resolution,[status(thm)],[314, 313])).
% 0.31/0.59 tff(316,plain,
% 0.31/0.59 (~smaller(age(X!5, T2!2), sigma)),
% 0.31/0.59 inference(unit_resolution,[status(thm)],[315, 9])).
% 0.31/0.59 tff(317,plain,
% 0.31/0.59 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(age(X!5, T2!2), sigma) <=> ((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma)))),
% 0.31/0.59 inference(quant_inst,[status(thm)],[])).
% 0.31/0.59 tff(318,plain,
% 0.31/0.59 (smaller_or_equal(age(X!5, T2!2), sigma) <=> ((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma))),
% 0.31/0.59 inference(unit_resolution,[status(thm)],[317, 163])).
% 0.31/0.59 tff(319,plain,
% 0.31/0.59 (smaller_or_equal(age(X!5, T2!2), sigma)),
% 0.31/0.59 inference(and_elim,[status(thm)],[18])).
% 0.31/0.59 tff(320,plain,
% 0.31/0.59 ((~(smaller_or_equal(age(X!5, T2!2), sigma) <=> ((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma)))) | (~smaller_or_equal(age(X!5, T2!2), sigma)) | ((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma))),
% 0.31/0.59 inference(tautology,[status(thm)],[])).
% 0.31/0.59 tff(321,plain,
% 0.31/0.59 ((~(smaller_or_equal(age(X!5, T2!2), sigma) <=> ((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma)))) | ((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma))),
% 0.31/0.59 inference(unit_resolution,[status(thm)],[320, 319])).
% 0.31/0.59 tff(322,plain,
% 0.31/0.59 ((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma)),
% 0.31/0.59 inference(unit_resolution,[status(thm)],[321, 318])).
% 0.31/0.59 tff(323,plain,
% 0.31/0.59 ((~((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma))) | (age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma)),
% 0.31/0.59 inference(tautology,[status(thm)],[])).
% 0.31/0.59 tff(324,plain,
% 0.31/0.59 ((age(X!5, T2!2) = sigma) | smaller(age(X!5, T2!2), sigma)),
% 0.31/0.59 inference(unit_resolution,[status(thm)],[323, 322])).
% 0.31/0.59 tff(325,plain,
% 0.31/0.59 (age(X!5, T2!2) = sigma),
% 0.31/0.59 inference(unit_resolution,[status(thm)],[324, 316])).
% 0.31/0.59 tff(326,plain,
% 0.31/0.59 (sigma = age(X!5, T2!2)),
% 0.31/0.59 inference(symmetry,[status(thm)],[325])).
% 0.31/0.59 tff(327,plain,
% 0.31/0.59 (greater(sigma, age(X!5, T2!2)) <=> greater(age(X!5, T2!2), sigma)),
% 0.31/0.59 inference(monotonicity,[status(thm)],[326, 325])).
% 0.31/0.59 tff(328,plain,
% 0.31/0.59 (greater(age(X!5, T2!2), sigma) <=> greater(sigma, age(X!5, T2!2))),
% 0.31/0.59 inference(symmetry,[status(thm)],[327])).
% 0.31/0.59 tff(329,plain,
% 0.31/0.59 (greater(sigma, age(X!5, T2!2))),
% 0.31/0.59 inference(modus_ponens,[status(thm)],[298, 328])).
% 0.31/0.59 tff(330,plain,
% 0.31/0.59 ($false),
% 0.31/0.59 inference(unit_resolution,[status(thm)],[313, 329])).
% 0.31/0.59 % SZS output end Proof
% 0.31/0.59 % E exiting
%------------------------------------------------------------------------------