%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT057+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n011.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 0.12s 0.40s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT057+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.09/0.34 % Computer : n011.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 7 13:30:17 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.12/0.40 % SZS status Theorem
% 0.12/0.40 % SZS output start Proof
% 0.12/0.40 tff(has_immunity_type, type, (
% 0.12/0.40 has_immunity: ( $i * $i ) > $o)).
% 0.12/0.40 tff(tptp_fun_T2_1_type, type, (
% 0.12/0.40 tptp_fun_T2_1: $i)).
% 0.12/0.40 tff(tptp_fun_X_4_type, type, (
% 0.12/0.40 tptp_fun_X_4: $i)).
% 0.12/0.40 tff(greater_type, type, (
% 0.12/0.40 greater: ( $i * $i ) > $o)).
% 0.12/0.40 tff(eta_type, type, (
% 0.12/0.40 eta: $i)).
% 0.12/0.40 tff(age_type, type, (
% 0.12/0.40 age: ( $i * $i ) > $i)).
% 0.12/0.40 tff(smaller_or_equal_type, type, (
% 0.12/0.40 smaller_or_equal: ( $i * $i ) > $o)).
% 0.12/0.40 tff(organization_type, type, (
% 0.12/0.40 organization: $i > $o)).
% 0.12/0.40 tff(has_endowment_type, type, (
% 0.12/0.40 has_endowment: $i > $o)).
% 0.12/0.40 tff(tptp_fun_T_0_type, type, (
% 0.12/0.40 tptp_fun_T_0: $i > $i)).
% 0.12/0.40 tff(zero_type, type, (
% 0.12/0.40 zero: $i)).
% 0.12/0.40 tff(tptp_fun_T1_2_type, type, (
% 0.12/0.40 tptp_fun_T1_2: $i)).
% 0.12/0.40 tff(tptp_fun_T0_3_type, type, (
% 0.12/0.40 tptp_fun_T0_3: $i)).
% 0.12/0.40 tff(hazard_of_mortality_type, type, (
% 0.12/0.40 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.12/0.40 tff(smaller_type, type, (
% 0.12/0.40 smaller: ( $i * $i ) > $o)).
% 0.12/0.40 tff(1,plain,
% 0.12/0.40 (^[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)))))))))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(2,plain,
% 0.12/0.40 (![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))))))))))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[1])).
% 0.12/0.40 tff(3,plain,
% 0.12/0.40 (^[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)))))))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(4,plain,
% 0.12/0.40 (![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))))))))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[3])).
% 0.12/0.40 tff(5,plain,
% 0.12/0.40 (^[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)))))))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(6,plain,
% 0.12/0.40 (![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))))))))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[5])).
% 0.12/0.40 tff(7,plain,
% 0.12/0.40 (![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))))))))),
% 0.12/0.40 inference(transitivity,[status(thm)],[6, 4])).
% 0.12/0.40 tff(8,plain,
% 0.12/0.40 (^[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))))))))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(9,plain,
% 0.12/0.41 (![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))))))))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[8])).
% 0.12/0.41 tff(10,plain,
% 0.12/0.41 (![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)))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(11,plain,
% 0.12/0.41 (^[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))))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(12,plain,
% 0.12/0.41 (![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)))))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[11])).
% 0.12/0.41 tff(13,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/sandbox2/benchmark/theBenchmark.p','definition_1')).
% 0.12/0.41 tff(14,plain,
% 0.12/0.41 (![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)))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.12/0.41 tff(15,plain,
% 0.12/0.41 (![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)))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.12/0.41 tff(16,plain,(
% 0.12/0.41 ![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)))))))),
% 0.12/0.41 inference(skolemize,[status(sab)],[15])).
% 0.12/0.41 tff(17,plain,
% 0.12/0.41 (![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))))))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.12/0.41 tff(18,plain,
% 0.12/0.41 (![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))))))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[17, 7])).
% 0.12/0.41 tff(19,plain,
% 0.12/0.41 (![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))))))))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[18, 2])).
% 0.12/0.41 tff(20,plain,
% 0.12/0.41 (((~![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!4) | (~organization(X!4)) | (~((~has_immunity(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), eta)))) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), eta)) | has_immunity(X!4, tptp_fun_T_0(X!4)))))) | (~((~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, 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!4) | (~organization(X!4)) | (~((~has_immunity(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), eta)))) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), eta)) | has_immunity(X!4, tptp_fun_T_0(X!4)))))) | (~((~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta)))))))))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(21,plain,
% 0.12/0.41 ((~((~(has_endowment(X!4) | (~organization(X!4)) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), eta)) | has_immunity(X!4, tptp_fun_T_0(X!4)))) | (~((~has_immunity(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), eta)))))) | (~((~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta)))))))))) <=> (~((~(has_endowment(X!4) | (~organization(X!4)) | (~((~has_immunity(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), eta)))) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), eta)) | has_immunity(X!4, tptp_fun_T_0(X!4)))))) | (~((~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta))))))))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(22,plain,
% 0.12/0.41 (((~![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!4) | (~organization(X!4)) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), eta)) | has_immunity(X!4, tptp_fun_T_0(X!4)))) | (~((~has_immunity(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), eta)))))) | (~((~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, 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!4) | (~organization(X!4)) | (~((~has_immunity(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), eta)))) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), eta)) | has_immunity(X!4, tptp_fun_T_0(X!4)))))) | (~((~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta)))))))))))),
% 0.12/0.41 inference(monotonicity,[status(thm)],[21])).
% 0.12/0.41 tff(23,plain,
% 0.12/0.41 (((~![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!4) | (~organization(X!4)) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), eta)) | has_immunity(X!4, tptp_fun_T_0(X!4)))) | (~((~has_immunity(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), eta)))))) | (~((~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, 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!4) | (~organization(X!4)) | (~((~has_immunity(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), eta)))) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), eta)) | has_immunity(X!4, tptp_fun_T_0(X!4)))))) | (~((~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta)))))))))))),
% 0.12/0.41 inference(transitivity,[status(thm)],[22, 20])).
% 0.12/0.41 tff(24,plain,
% 0.12/0.41 ((~![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!4) | (~organization(X!4)) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), eta)) | has_immunity(X!4, tptp_fun_T_0(X!4)))) | (~((~has_immunity(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), eta)))))) | (~((~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta))))))))))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(25,plain,
% 0.12/0.41 ((~![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!4) | (~organization(X!4)) | (~((~has_immunity(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), eta)))) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), eta)) | has_immunity(X!4, tptp_fun_T_0(X!4)))))) | (~((~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta))))))))))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.12/0.41 tff(26,plain,
% 0.12/0.41 (~((~(has_endowment(X!4) | (~organization(X!4)) | (~((~has_immunity(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), eta)))) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), eta)) | has_immunity(X!4, tptp_fun_T_0(X!4)))))) | (~((~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta)))))))))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[25, 19])).
% 0.12/0.41 tff(27,plain,
% 0.12/0.41 (((~(has_endowment(X!4) | (~organization(X!4)) | (~((~has_immunity(X!4, tptp_fun_T_0(X!4))) | (~greater(age(X!4, tptp_fun_T_0(X!4)), eta)))) | (~((~smaller_or_equal(age(X!4, tptp_fun_T_0(X!4)), eta)) | has_immunity(X!4, tptp_fun_T_0(X!4)))))) | (~((~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta))))))))) | ((~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta)))))))),
% 0.12/0.41 inference(tautology,[status(thm)],[])).
% 0.12/0.41 tff(28,plain,
% 0.12/0.41 ((~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta))))))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[27, 26])).
% 0.12/0.41 tff(29,plain,
% 0.12/0.41 ((~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(eta, zero))) | (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] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(eta, zero))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(30,plain,
% 0.12/0.41 ((~![X: $i, T0: $i, T1: $i, T2: $i] : ((((((organization(X) & has_endowment(X)) & (age(X, T0) = zero)) & smaller_or_equal(age(X, T1), eta)) & greater(age(X, T2), eta)) & greater(eta, zero)) => (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] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(eta, zero))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(31,axiom,(~![X: $i, T0: $i, T1: $i, T2: $i] : ((((((organization(X) & has_endowment(X)) & (age(X, T0) = zero)) & smaller_or_equal(age(X, T1), eta)) & greater(age(X, T2), eta)) & greater(eta, zero)) => (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_6')).
% 0.12/0.42 tff(32,plain,
% 0.12/0.42 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(eta, zero))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.12/0.42 tff(33,plain,
% 0.12/0.42 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(eta, zero))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[32, 29])).
% 0.12/0.42 tff(34,plain,
% 0.12/0.42 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(eta, zero))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[33, 29])).
% 0.12/0.42 tff(35,plain,
% 0.12/0.42 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & has_endowment(X) & (age(X, T0) = zero) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), eta) & greater(eta, zero))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[34, 29])).
% 0.12/0.42 tff(36,plain,(
% 0.12/0.42 ~((~(organization(X!4) & has_endowment(X!4) & (age(X!4, T0!3) = zero) & smaller_or_equal(age(X!4, T1!2), eta) & greater(age(X!4, T2!1), eta) & greater(eta, zero))) | (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))))),
% 0.12/0.42 inference(skolemize,[status(sab)],[35])).
% 0.12/0.42 tff(37,plain,
% 0.12/0.42 (organization(X!4) & has_endowment(X!4) & (age(X!4, T0!3) = zero) & smaller_or_equal(age(X!4, T1!2), eta) & greater(age(X!4, T2!1), eta) & greater(eta, zero)),
% 0.12/0.42 inference(or_elim,[status(thm)],[36])).
% 0.12/0.42 tff(38,plain,
% 0.12/0.42 (has_endowment(X!4)),
% 0.12/0.42 inference(and_elim,[status(thm)],[37])).
% 0.12/0.42 tff(39,plain,
% 0.12/0.42 ((~((~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta)))))))) | (~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta))))))),
% 0.12/0.42 inference(tautology,[status(thm)],[])).
% 0.12/0.42 tff(40,plain,
% 0.12/0.42 ((~((~has_endowment(X!4)) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta)))))))) | ![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta))))))),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.12/0.42 tff(41,plain,
% 0.12/0.42 (![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta))))))),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[40, 28])).
% 0.12/0.42 tff(42,plain,
% 0.12/0.42 ((~![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta))))))) | (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T2!1), eta)) | has_immunity(X!4, T2!1))) | (~((~has_immunity(X!4, T2!1)) | (~greater(age(X!4, T2!1), eta))))))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(43,plain,
% 0.12/0.42 (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T2!1), eta)) | has_immunity(X!4, T2!1))) | (~((~has_immunity(X!4, T2!1)) | (~greater(age(X!4, T2!1), eta)))))),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[42, 41])).
% 0.12/0.42 tff(44,plain,
% 0.12/0.42 (((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T2!1), eta)) | has_immunity(X!4, T2!1))) | (~((~has_immunity(X!4, T2!1)) | (~greater(age(X!4, T2!1), eta))))) | ((~has_immunity(X!4, T2!1)) | (~greater(age(X!4, T2!1), eta)))),
% 0.12/0.42 inference(tautology,[status(thm)],[])).
% 0.12/0.42 tff(45,plain,
% 0.12/0.42 ((~has_immunity(X!4, T2!1)) | (~greater(age(X!4, T2!1), eta))),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.12/0.42 tff(46,plain,
% 0.12/0.42 (greater(age(X!4, T2!1), eta)),
% 0.12/0.42 inference(and_elim,[status(thm)],[37])).
% 0.12/0.42 tff(47,plain,
% 0.12/0.42 ((~((~has_immunity(X!4, T2!1)) | (~greater(age(X!4, T2!1), eta)))) | (~has_immunity(X!4, T2!1)) | (~greater(age(X!4, T2!1), eta))),
% 0.12/0.42 inference(tautology,[status(thm)],[])).
% 0.12/0.42 tff(48,plain,
% 0.12/0.42 ((~((~has_immunity(X!4, T2!1)) | (~greater(age(X!4, T2!1), eta)))) | (~has_immunity(X!4, T2!1))),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[47, 46])).
% 0.12/0.42 tff(49,plain,
% 0.12/0.42 (~has_immunity(X!4, T2!1)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[48, 45])).
% 0.12/0.42 tff(50,plain,
% 0.12/0.42 ((~![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta))))))) | (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T1!2), eta)) | has_immunity(X!4, T1!2))) | (~((~has_immunity(X!4, T1!2)) | (~greater(age(X!4, T1!2), eta))))))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(51,plain,
% 0.12/0.42 (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T1!2), eta)) | has_immunity(X!4, T1!2))) | (~((~has_immunity(X!4, T1!2)) | (~greater(age(X!4, T1!2), eta)))))),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[50, 41])).
% 0.12/0.42 tff(52,plain,
% 0.12/0.42 (((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T1!2), eta)) | has_immunity(X!4, T1!2))) | (~((~has_immunity(X!4, T1!2)) | (~greater(age(X!4, T1!2), eta))))) | ((~smaller_or_equal(age(X!4, T1!2), eta)) | has_immunity(X!4, T1!2))),
% 0.12/0.42 inference(tautology,[status(thm)],[])).
% 0.12/0.42 tff(53,plain,
% 0.12/0.42 ((~smaller_or_equal(age(X!4, T1!2), eta)) | has_immunity(X!4, T1!2)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[52, 51])).
% 0.12/0.42 tff(54,plain,
% 0.12/0.42 (smaller_or_equal(age(X!4, T1!2), eta)),
% 0.12/0.42 inference(and_elim,[status(thm)],[37])).
% 0.12/0.42 tff(55,plain,
% 0.12/0.42 ((~((~smaller_or_equal(age(X!4, T1!2), eta)) | has_immunity(X!4, T1!2))) | (~smaller_or_equal(age(X!4, T1!2), eta)) | has_immunity(X!4, T1!2)),
% 0.12/0.42 inference(tautology,[status(thm)],[])).
% 0.12/0.42 tff(56,plain,
% 0.12/0.42 ((~((~smaller_or_equal(age(X!4, T1!2), eta)) | has_immunity(X!4, T1!2))) | has_immunity(X!4, T1!2)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[55, 54])).
% 0.12/0.42 tff(57,plain,
% 0.12/0.42 (has_immunity(X!4, T1!2)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[56, 53])).
% 0.12/0.42 tff(58,plain,
% 0.12/0.42 ((~![T: $i] : (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T), eta)) | has_immunity(X!4, T))) | (~((~has_immunity(X!4, T)) | (~greater(age(X!4, T), eta))))))) | (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T0!3), eta)) | has_immunity(X!4, T0!3))) | (~((~has_immunity(X!4, T0!3)) | (~greater(age(X!4, T0!3), eta))))))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(59,plain,
% 0.12/0.42 (~((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T0!3), eta)) | has_immunity(X!4, T0!3))) | (~((~has_immunity(X!4, T0!3)) | (~greater(age(X!4, T0!3), eta)))))),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[58, 41])).
% 0.12/0.42 tff(60,plain,
% 0.12/0.42 (((~organization(X!4)) | (~((~smaller_or_equal(age(X!4, T0!3), eta)) | has_immunity(X!4, T0!3))) | (~((~has_immunity(X!4, T0!3)) | (~greater(age(X!4, T0!3), eta))))) | ((~smaller_or_equal(age(X!4, T0!3), eta)) | has_immunity(X!4, T0!3))),
% 0.12/0.42 inference(tautology,[status(thm)],[])).
% 0.12/0.42 tff(61,plain,
% 0.12/0.42 ((~smaller_or_equal(age(X!4, T0!3), eta)) | has_immunity(X!4, T0!3)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[60, 59])).
% 0.12/0.42 tff(62,plain,
% 0.12/0.42 (age(X!4, T0!3) = zero),
% 0.12/0.42 inference(and_elim,[status(thm)],[37])).
% 0.12/0.42 tff(63,plain,
% 0.12/0.42 (smaller_or_equal(age(X!4, T0!3), eta) <=> smaller_or_equal(zero, eta)),
% 0.12/0.42 inference(monotonicity,[status(thm)],[62])).
% 0.12/0.42 tff(64,plain,
% 0.12/0.42 (smaller_or_equal(zero, eta) <=> smaller_or_equal(age(X!4, T0!3), eta)),
% 0.12/0.42 inference(symmetry,[status(thm)],[63])).
% 0.12/0.42 tff(65,plain,
% 0.12/0.42 (^[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))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(66,plain,
% 0.12/0.42 (![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)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[65])).
% 0.12/0.42 tff(67,plain,
% 0.12/0.42 (![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)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(68,plain,
% 0.12/0.42 (^[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))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(69,plain,
% 0.12/0.42 (![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)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[68])).
% 0.12/0.42 tff(70,axiom,(![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y)))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','definition_smaller_or_equal')).
% 0.12/0.42 tff(71,plain,
% 0.12/0.42 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.12/0.42 tff(72,plain,
% 0.12/0.42 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[71, 67])).
% 0.12/0.42 tff(73,plain,(
% 0.12/0.42 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.12/0.42 inference(skolemize,[status(sab)],[72])).
% 0.12/0.42 tff(74,plain,
% 0.12/0.42 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[73, 66])).
% 0.12/0.42 tff(75,plain,
% 0.12/0.42 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(zero, eta) <=> ((zero = eta) | smaller(zero, eta)))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(76,plain,
% 0.12/0.42 (smaller_or_equal(zero, eta) <=> ((zero = eta) | smaller(zero, eta))),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[75, 74])).
% 0.12/0.42 tff(77,plain,
% 0.12/0.42 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(78,plain,
% 0.12/0.42 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[77])).
% 0.12/0.42 tff(79,plain,
% 0.12/0.42 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(80,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.12/0.42 tff(81,plain,
% 0.12/0.42 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.12/0.42 tff(82,plain,(
% 0.12/0.42 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.12/0.42 inference(skolemize,[status(sab)],[81])).
% 0.12/0.42 tff(83,plain,
% 0.12/0.42 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[82, 78])).
% 0.12/0.42 tff(84,plain,
% 0.12/0.42 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(zero, eta) <=> greater(eta, zero))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(85,plain,
% 0.12/0.42 (smaller(zero, eta) <=> greater(eta, zero)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[84, 83])).
% 0.12/0.42 tff(86,plain,
% 0.12/0.42 (greater(eta, zero)),
% 0.12/0.42 inference(and_elim,[status(thm)],[37])).
% 0.12/0.42 tff(87,plain,
% 0.12/0.42 ((~(smaller(zero, eta) <=> greater(eta, zero))) | smaller(zero, eta) | (~greater(eta, zero))),
% 0.12/0.42 inference(tautology,[status(thm)],[])).
% 0.12/0.42 tff(88,plain,
% 0.12/0.42 ((~(smaller(zero, eta) <=> greater(eta, zero))) | smaller(zero, eta)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[87, 86])).
% 0.12/0.42 tff(89,plain,
% 0.12/0.42 (smaller(zero, eta)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[88, 85])).
% 0.12/0.42 tff(90,plain,
% 0.12/0.42 (((zero = eta) | smaller(zero, eta)) | (~smaller(zero, eta))),
% 0.12/0.42 inference(tautology,[status(thm)],[])).
% 0.12/0.42 tff(91,plain,
% 0.12/0.42 ((zero = eta) | smaller(zero, eta)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[90, 89])).
% 0.12/0.42 tff(92,plain,
% 0.12/0.42 ((~(smaller_or_equal(zero, eta) <=> ((zero = eta) | smaller(zero, eta)))) | smaller_or_equal(zero, eta) | (~((zero = eta) | smaller(zero, eta)))),
% 0.12/0.42 inference(tautology,[status(thm)],[])).
% 0.12/0.42 tff(93,plain,
% 0.12/0.42 ((~(smaller_or_equal(zero, eta) <=> ((zero = eta) | smaller(zero, eta)))) | smaller_or_equal(zero, eta)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[92, 91])).
% 0.12/0.42 tff(94,plain,
% 0.12/0.42 (smaller_or_equal(zero, eta)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[93, 76])).
% 0.12/0.42 tff(95,plain,
% 0.12/0.42 (smaller_or_equal(age(X!4, T0!3), eta)),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[94, 64])).
% 0.12/0.42 tff(96,plain,
% 0.12/0.42 ((~((~smaller_or_equal(age(X!4, T0!3), eta)) | has_immunity(X!4, T0!3))) | (~smaller_or_equal(age(X!4, T0!3), eta)) | has_immunity(X!4, T0!3)),
% 0.12/0.42 inference(tautology,[status(thm)],[])).
% 0.12/0.42 tff(97,plain,
% 0.12/0.42 (has_immunity(X!4, T0!3)),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[96, 95, 61])).
% 0.12/0.42 tff(98,assumption,(~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))), introduced(assumption)).
% 0.12/0.42 tff(99,plain,
% 0.12/0.42 (organization(X!4)),
% 0.12/0.42 inference(and_elim,[status(thm)],[37])).
% 0.12/0.42 tff(100,plain,
% 0.12/0.42 (^[X: $i, T0: $i, T: $i] : refl(((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0))) <=> ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(101,plain,
% 0.12/0.42 (![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0))) <=> ![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[100])).
% 0.12/0.42 tff(102,plain,
% 0.12/0.42 (^[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)) | (~organization(X)) | (~has_immunity(X, T0))))), ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) <=> (~(~((~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0))))))), rewrite((~(~((~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0))))) <=> ((~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0)))), ((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) <=> ((~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0))))), (((~(organization(X) & has_immunity(X, T0) & has_immunity(X, T))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> (((~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))))), rewrite((((~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0))) | (hazard_of_mortality(X, T0) = hazard_of_mortality(X, T))) <=> ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0)))), (((~(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)) | (~organization(X)) | (~has_immunity(X, T0)))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(103,plain,
% 0.12/0.42 (![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)) | (~organization(X)) | (~has_immunity(X, T0)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[102])).
% 0.12/0.42 tff(104,plain,
% 0.12/0.42 (![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)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(105,plain,
% 0.12/0.42 (^[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)))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(106,plain,
% 0.12/0.42 (![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)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[105])).
% 0.12/0.42 tff(107,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/sandbox2/benchmark/theBenchmark.p','assumption_2')).
% 0.12/0.42 tff(108,plain,
% 0.12/0.42 (![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)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.12/0.42 tff(109,plain,
% 0.12/0.42 (![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)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[108, 104])).
% 0.12/0.42 tff(110,plain,(
% 0.12/0.42 ![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)))),
% 0.12/0.42 inference(skolemize,[status(sab)],[109])).
% 0.12/0.42 tff(111,plain,
% 0.12/0.42 (![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[110, 103])).
% 0.12/0.42 tff(112,plain,
% 0.12/0.42 (![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[111, 101])).
% 0.12/0.42 tff(113,plain,
% 0.12/0.42 (((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0)))) | ((hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)) | (~has_immunity(X!4, T1!2)))) <=> ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0)))) | (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)) | (~has_immunity(X!4, T1!2)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(114,plain,
% 0.12/0.43 (((hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)) | (~has_immunity(X!4, T0!3)) | (~organization(X!4)) | (~has_immunity(X!4, T1!2))) <=> ((hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)) | (~has_immunity(X!4, T1!2)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(115,plain,
% 0.12/0.43 (((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0)))) | ((hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)) | (~has_immunity(X!4, T0!3)) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))) <=> ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0)))) | ((hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)) | (~has_immunity(X!4, T1!2))))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[114])).
% 0.12/0.43 tff(116,plain,
% 0.12/0.43 (((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0)))) | ((hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)) | (~has_immunity(X!4, T0!3)) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))) <=> ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0)))) | (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)) | (~has_immunity(X!4, T1!2)))),
% 0.12/0.43 inference(transitivity,[status(thm)],[115, 113])).
% 0.12/0.43 tff(117,plain,
% 0.12/0.43 ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0)))) | ((hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)) | (~has_immunity(X!4, T0!3)) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(118,plain,
% 0.12/0.43 ((~![X: $i, T0: $i, T: $i] : ((hazard_of_mortality(X, T0) = hazard_of_mortality(X, T)) | (~has_immunity(X, T)) | (~organization(X)) | (~has_immunity(X, T0)))) | (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)) | (~organization(X!4)) | (~has_immunity(X!4, T0!3)) | (~has_immunity(X!4, T1!2))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.12/0.43 tff(119,plain,
% 0.12/0.43 ($false),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[118, 112, 99, 98, 97, 57])).
% 0.12/0.43 tff(120,plain,(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)), inference(lemma,lemma(discharge,[]))).
% 0.12/0.43 tff(121,plain,
% 0.12/0.43 ((~(~((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))))) <=> ((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(122,plain,
% 0.12/0.43 ((greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))) <=> (~((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(123,plain,
% 0.12/0.43 ((~(greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))) <=> (~(~((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))))))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[122])).
% 0.12/0.43 tff(124,plain,
% 0.12/0.43 ((~(greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))) <=> ((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))))),
% 0.12/0.43 inference(transitivity,[status(thm)],[123, 121])).
% 0.12/0.43 tff(125,plain,
% 0.12/0.43 (~(greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) & (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))),
% 0.12/0.43 inference(or_elim,[status(thm)],[36])).
% 0.12/0.43 tff(126,plain,
% 0.12/0.43 ((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) | (~(hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[125, 124])).
% 0.12/0.43 tff(127,plain,
% 0.12/0.43 (~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[126, 120])).
% 0.12/0.43 tff(128,plain,
% 0.12/0.43 (^[X: $i, T0: $i, T: $i] : refl((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))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(129,plain,
% 0.12/0.43 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~organization(X)) | (~has_immunity(X, T0))) <=> ![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~organization(X)) | (~has_immunity(X, T0)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[128])).
% 0.12/0.43 tff(130,plain,
% 0.12/0.43 (^[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)) | (~organization(X)) | (~has_immunity(X, T0)))), (((~(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)) | (~organization(X)) | (~has_immunity(X, T0)))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(131,plain,
% 0.12/0.43 (![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)) | (~organization(X)) | (~has_immunity(X, T0)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[130])).
% 0.12/0.43 tff(132,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(133,plain,
% 0.12/0.43 (^[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)))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(134,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[133])).
% 0.12/0.43 tff(135,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/sandbox2/benchmark/theBenchmark.p','assumption_3')).
% 0.12/0.43 tff(136,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.12/0.43 tff(137,plain,
% 0.12/0.43 (![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)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[136, 132])).
% 0.12/0.43 tff(138,plain,(
% 0.12/0.43 ![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)))),
% 0.12/0.43 inference(skolemize,[status(sab)],[137])).
% 0.12/0.43 tff(139,plain,
% 0.12/0.43 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~organization(X)) | (~has_immunity(X, T0)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[138, 131])).
% 0.12/0.43 tff(140,plain,
% 0.12/0.43 (![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~organization(X)) | (~has_immunity(X, T0)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[139, 129])).
% 0.12/0.43 tff(141,plain,
% 0.12/0.43 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~organization(X)) | (~has_immunity(X, T0)))) | (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)) | has_immunity(X!4, T2!1))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~organization(X)) | (~has_immunity(X, T0)))) | greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)) | has_immunity(X!4, T2!1))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(142,plain,
% 0.12/0.43 ((has_immunity(X!4, T2!1) | greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) | (~organization(X!4)) | (~has_immunity(X!4, T1!2))) <=> (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)) | has_immunity(X!4, T2!1))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(143,plain,
% 0.12/0.43 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~organization(X)) | (~has_immunity(X, T0)))) | (has_immunity(X!4, T2!1) | greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~organization(X)) | (~has_immunity(X, T0)))) | (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)) | has_immunity(X!4, T2!1)))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[142])).
% 0.12/0.43 tff(144,plain,
% 0.12/0.43 (((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~organization(X)) | (~has_immunity(X, T0)))) | (has_immunity(X!4, T2!1) | greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))) <=> ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~organization(X)) | (~has_immunity(X, T0)))) | greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)) | has_immunity(X!4, T2!1))),
% 0.12/0.43 inference(transitivity,[status(thm)],[143, 141])).
% 0.12/0.43 tff(145,plain,
% 0.12/0.43 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~organization(X)) | (~has_immunity(X, T0)))) | (has_immunity(X!4, T2!1) | greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(146,plain,
% 0.12/0.43 ((~![X: $i, T0: $i, T: $i] : (has_immunity(X, T) | greater(hazard_of_mortality(X, T), hazard_of_mortality(X, T0)) | (~organization(X)) | (~has_immunity(X, T0)))) | greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) | (~organization(X!4)) | (~has_immunity(X!4, T1!2)) | has_immunity(X!4, T2!1)),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.12/0.43 tff(147,plain,
% 0.12/0.43 ($false),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[146, 140, 99, 127, 57, 49])).
% 0.12/0.43 % SZS output end Proof
% 0.12/0.43 % E exiting
%------------------------------------------------------------------------------