%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT065+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n007.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 06:24:10 AM UTC 2026
% Result : Theorem 0.13s 0.41s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT065+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.07/0.33 % Computer : n007.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Mon Sep 7 13:43:57 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.13/0.41 % SZS status Theorem
% 0.13/0.41 % SZS output start Proof
% 0.13/0.41 tff(greater_type, type, (
% 0.13/0.41 greater: ( $i * $i ) > $o)).
% 0.13/0.41 tff(very_low_type, type, (
% 0.13/0.41 very_low: $i)).
% 0.13/0.41 tff(low_type, type, (
% 0.13/0.41 low: $i)).
% 0.13/0.41 tff(hazard_of_mortality_type, type, (
% 0.13/0.41 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.13/0.41 tff(tptp_fun_T1_2_type, type, (
% 0.13/0.41 tptp_fun_T1_2: $i)).
% 0.13/0.41 tff(tptp_fun_X_4_type, type, (
% 0.13/0.41 tptp_fun_X_4: $i)).
% 0.13/0.41 tff(tptp_fun_T2_1_type, type, (
% 0.13/0.41 tptp_fun_T2_1: $i)).
% 0.13/0.41 tff(has_immunity_type, type, (
% 0.13/0.41 has_immunity: ( $i * $i ) > $o)).
% 0.13/0.41 tff(high_type, type, (
% 0.13/0.41 high: $i)).
% 0.13/0.41 tff(positional_advantage_type, type, (
% 0.13/0.41 positional_advantage: ( $i * $i ) > $o)).
% 0.13/0.41 tff(is_aligned_type, type, (
% 0.13/0.41 is_aligned: ( $i * $i ) > $o)).
% 0.13/0.41 tff(mod2_type, type, (
% 0.13/0.41 mod2: $i)).
% 0.13/0.41 tff(mod1_type, type, (
% 0.13/0.41 mod1: $i)).
% 0.13/0.41 tff(organization_type, type, (
% 0.13/0.41 organization: $i > $o)).
% 0.13/0.41 tff(eta_type, type, (
% 0.13/0.41 eta: $i)).
% 0.13/0.41 tff(age_type, type, (
% 0.13/0.41 age: ( $i * $i ) > $i)).
% 0.13/0.41 tff(tau_type, type, (
% 0.13/0.41 tau: $i)).
% 0.13/0.41 tff(sigma_type, type, (
% 0.13/0.41 sigma: $i)).
% 0.13/0.41 tff(smaller_or_equal_type, type, (
% 0.13/0.41 smaller_or_equal: ( $i * $i ) > $o)).
% 0.13/0.41 tff(zero_type, type, (
% 0.13/0.41 zero: $i)).
% 0.13/0.41 tff(tptp_fun_T0_3_type, type, (
% 0.13/0.41 tptp_fun_T0_3: $i)).
% 0.13/0.41 tff(has_endowment_type, type, (
% 0.13/0.41 has_endowment: $i > $o)).
% 0.13/0.41 tff(robust_position_type, type, (
% 0.13/0.41 robust_position: $i > $o)).
% 0.13/0.41 tff(fragile_position_type, type, (
% 0.13/0.41 fragile_position: $i > $o)).
% 0.13/0.41 tff(tptp_fun_T_0_type, type, (
% 0.13/0.41 tptp_fun_T_0: $i > $i)).
% 0.13/0.41 tff(smaller_type, type, (
% 0.13/0.41 smaller: ( $i * $i ) > $o)).
% 0.13/0.41 tff(1,plain,
% 0.13/0.41 ((~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & (fragile_position(X) | robust_position(X)) & has_endowment(X) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(eta, zero) & smaller_or_equal(age(X, T1), sigma) & smaller_or_equal(age(X, T1), tau) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), sigma) & greater(age(X, T2), tau) & greater(age(X, T2), eta))) | (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) & (fragile_position(X) | robust_position(X)) & has_endowment(X) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(eta, zero) & smaller_or_equal(age(X, T1), sigma) & smaller_or_equal(age(X, T1), tau) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), sigma) & greater(age(X, T2), tau) & greater(age(X, T2), eta))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(2,plain,
% 0.13/0.41 ((~![X: $i, T0: $i, T1: $i, T2: $i] : (((((((((((((organization(X) & (robust_position(X) | fragile_position(X))) & has_endowment(X)) & (age(X, T0) = zero)) & greater(sigma, zero)) & greater(tau, zero)) & greater(eta, zero)) & smaller_or_equal(age(X, T1), sigma)) & smaller_or_equal(age(X, T1), tau)) & smaller_or_equal(age(X, T1), eta)) & greater(age(X, T2), sigma)) & greater(age(X, T2), tau)) & greater(age(X, T2), eta)) => (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) & (fragile_position(X) | robust_position(X)) & has_endowment(X) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(eta, zero) & smaller_or_equal(age(X, T1), sigma) & smaller_or_equal(age(X, T1), tau) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), sigma) & greater(age(X, T2), tau) & greater(age(X, T2), eta))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.13/0.41 inference(rewrite,[status(thm)],[])).
% 0.13/0.41 tff(3,axiom,(~![X: $i, T0: $i, T1: $i, T2: $i] : (((((((((((((organization(X) & (robust_position(X) | fragile_position(X))) & has_endowment(X)) & (age(X, T0) = zero)) & greater(sigma, zero)) & greater(tau, zero)) & greater(eta, zero)) & smaller_or_equal(age(X, T1), sigma)) & smaller_or_equal(age(X, T1), tau)) & smaller_or_equal(age(X, T1), eta)) & greater(age(X, T2), sigma)) & greater(age(X, T2), tau)) & greater(age(X, T2), eta)) => (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','theorem_11')).
% 0.13/0.41 tff(4,plain,
% 0.13/0.41 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & (fragile_position(X) | robust_position(X)) & has_endowment(X) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(eta, zero) & smaller_or_equal(age(X, T1), sigma) & smaller_or_equal(age(X, T1), tau) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), sigma) & greater(age(X, T2), tau) & greater(age(X, T2), eta))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.13/0.41 tff(5,plain,
% 0.13/0.41 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & (fragile_position(X) | robust_position(X)) & has_endowment(X) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(eta, zero) & smaller_or_equal(age(X, T1), sigma) & smaller_or_equal(age(X, T1), tau) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), sigma) & greater(age(X, T2), tau) & greater(age(X, T2), eta))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[4, 1])).
% 0.13/0.41 tff(6,plain,
% 0.13/0.41 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & (fragile_position(X) | robust_position(X)) & has_endowment(X) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(eta, zero) & smaller_or_equal(age(X, T1), sigma) & smaller_or_equal(age(X, T1), tau) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), sigma) & greater(age(X, T2), tau) & greater(age(X, T2), eta))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.13/0.41 tff(7,plain,
% 0.13/0.41 (~![X: $i, T0: $i, T1: $i, T2: $i] : ((~(organization(X) & (fragile_position(X) | robust_position(X)) & has_endowment(X) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(eta, zero) & smaller_or_equal(age(X, T1), sigma) & smaller_or_equal(age(X, T1), tau) & smaller_or_equal(age(X, T1), eta) & greater(age(X, T2), sigma) & greater(age(X, T2), tau) & greater(age(X, T2), eta))) | (greater(hazard_of_mortality(X, T2), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.13/0.41 inference(modus_ponens,[status(thm)],[6, 1])).
% 0.13/0.41 tff(8,plain,(
% 0.13/0.41 ~((~(organization(X!4) & (fragile_position(X!4) | robust_position(X!4)) & has_endowment(X!4) & (age(X!4, T0!3) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(eta, zero) & smaller_or_equal(age(X!4, T1!2), sigma) & smaller_or_equal(age(X!4, T1!2), tau) & smaller_or_equal(age(X!4, T1!2), eta) & greater(age(X!4, T2!1), sigma) & greater(age(X!4, T2!1), tau) & greater(age(X!4, T2!1), eta))) | (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))))),
% 0.13/0.41 inference(skolemize,[status(sab)],[7])).
% 0.13/0.41 tff(9,plain,
% 0.13/0.41 (organization(X!4) & (fragile_position(X!4) | robust_position(X!4)) & has_endowment(X!4) & (age(X!4, T0!3) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(eta, zero) & smaller_or_equal(age(X!4, T1!2), sigma) & smaller_or_equal(age(X!4, T1!2), tau) & smaller_or_equal(age(X!4, T1!2), eta) & greater(age(X!4, T2!1), sigma) & greater(age(X!4, T2!1), tau) & greater(age(X!4, T2!1), eta)),
% 0.13/0.41 inference(or_elim,[status(thm)],[8])).
% 0.13/0.41 tff(10,plain,
% 0.13/0.41 (organization(X!4)),
% 0.13/0.41 inference(and_elim,[status(thm)],[9])).
% 0.13/0.41 tff(11,plain,
% 0.13/0.41 (^[X: $i, T: $i] : refl(((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T)))))))))) <=> ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T)))))))))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(12,plain,
% 0.13/0.41 (![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T)))))))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[11])).
% 0.13/0.41 tff(13,plain,
% 0.13/0.41 (^[X: $i, T: $i] : rewrite(((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T)))))))))))),
% 0.13/0.41 inference(bind,[status(th)],[])).
% 0.13/0.41 tff(14,plain,
% 0.13/0.41 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))),
% 0.13/0.41 inference(quant_intro,[status(thm)],[13])).
% 0.13/0.42 tff(15,plain,
% 0.13/0.42 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(16,plain,
% 0.13/0.42 (^[X: $i, T: $i] : trans(monotonicity(rewrite(((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high))))) <=> (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))), ((organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high)))))) <=> (organization(X) => (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))))), rewrite((organization(X) => (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high)))))) <=> ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))), ((organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high)))))) <=> ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))))),
% 0.13/0.42 inference(bind,[status(th)],[])).
% 0.13/0.42 tff(17,plain,
% 0.13/0.42 (![X: $i, T: $i] : (organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high)))))) <=> ![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.13/0.42 inference(quant_intro,[status(thm)],[16])).
% 0.13/0.42 tff(18,axiom,(![X: $i, T: $i] : (organization(X) => ((has_immunity(X, T) => (hazard_of_mortality(X, T) = very_low)) & ((~has_immunity(X, T)) => (((((is_aligned(X, T) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = low)) & (((~is_aligned(X, T)) & positional_advantage(X, T)) => (hazard_of_mortality(X, T) = mod1))) & ((is_aligned(X, T) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = mod2))) & (((~is_aligned(X, T)) & (~positional_advantage(X, T))) => (hazard_of_mortality(X, T) = high))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_17')).
% 0.13/0.42 tff(19,plain,
% 0.13/0.42 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.13/0.42 tff(20,plain,
% 0.13/0.42 (![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[19, 15])).
% 0.13/0.42 tff(21,plain,(
% 0.13/0.42 ![X: $i, T: $i] : ((~organization(X)) | (((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low)) & (has_immunity(X, T) | (((~(is_aligned(X, T) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = low)) & ((~((~is_aligned(X, T)) & positional_advantage(X, T))) | (hazard_of_mortality(X, T) = mod1)) & ((~(is_aligned(X, T) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = mod2)) & ((~((~is_aligned(X, T)) & (~positional_advantage(X, T)))) | (hazard_of_mortality(X, T) = high))))))),
% 0.13/0.42 inference(skolemize,[status(sab)],[20])).
% 0.13/0.42 tff(22,plain,
% 0.13/0.42 (![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.13/0.42 tff(23,plain,
% 0.13/0.42 (![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))),
% 0.13/0.42 inference(modus_ponens,[status(thm)],[22, 12])).
% 0.13/0.42 tff(24,plain,
% 0.13/0.42 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~(is_aligned(X!4, T1!2) | (~positional_advantage(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~(is_aligned(X!4, T1!2) | (~positional_advantage(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(25,plain,
% 0.13/0.42 (((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~(is_aligned(X!4, T1!2) | (~positional_advantage(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high) | positional_advantage(X!4, T1!2)))))))))) <=> ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~(is_aligned(X!4, T1!2) | (~positional_advantage(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))),
% 0.13/0.42 inference(rewrite,[status(thm)],[])).
% 0.13/0.42 tff(26,plain,
% 0.13/0.42 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~(is_aligned(X!4, T1!2) | (~positional_advantage(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high) | positional_advantage(X!4, T1!2))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~(is_aligned(X!4, T1!2) | (~positional_advantage(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))))))))),
% 0.13/0.42 inference(monotonicity,[status(thm)],[25])).
% 0.13/0.42 tff(27,plain,
% 0.13/0.42 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~(is_aligned(X!4, T1!2) | (~positional_advantage(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high) | positional_advantage(X!4, T1!2))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~(is_aligned(X!4, T1!2) | (~positional_advantage(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))))),
% 0.13/0.43 inference(transitivity,[status(thm)],[26, 24])).
% 0.13/0.43 tff(28,plain,
% 0.13/0.43 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~(is_aligned(X!4, T1!2) | (~positional_advantage(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high) | positional_advantage(X!4, T1!2))))))))))),
% 0.13/0.43 inference(quant_inst,[status(thm)],[])).
% 0.13/0.43 tff(29,plain,
% 0.13/0.43 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~(is_aligned(X!4, T1!2) | (~positional_advantage(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.13/0.43 tff(30,plain,
% 0.13/0.43 (~((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~(is_aligned(X!4, T1!2) | (~positional_advantage(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high))))))))),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[29, 23, 10])).
% 0.13/0.43 tff(31,plain,
% 0.13/0.43 (((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~(has_immunity(X!4, T1!2) | (~((~((~positional_advantage(X!4, T1!2)) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = low))) | (~(is_aligned(X!4, T1!2) | (~positional_advantage(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod1))) | (~(positional_advantage(X!4, T1!2) | (~is_aligned(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = mod2))) | (~(is_aligned(X!4, T1!2) | positional_advantage(X!4, T1!2) | (hazard_of_mortality(X!4, T1!2) = high)))))))) | ((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))),
% 0.13/0.43 inference(tautology,[status(thm)],[])).
% 0.13/0.43 tff(32,plain,
% 0.13/0.43 ((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low)),
% 0.13/0.43 inference(unit_resolution,[status(thm)],[31, 30])).
% 0.13/0.43 tff(33,plain,
% 0.13/0.43 (^[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)))))))))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(34,plain,
% 0.13/0.43 (![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))))))))))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[33])).
% 0.13/0.43 tff(35,plain,
% 0.13/0.43 (^[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)))))))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(36,plain,
% 0.13/0.43 (![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))))))))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[35])).
% 0.13/0.43 tff(37,plain,
% 0.13/0.43 (^[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)))))))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(38,plain,
% 0.13/0.43 (![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))))))))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[37])).
% 0.13/0.43 tff(39,plain,
% 0.13/0.43 (![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))))))))),
% 0.13/0.43 inference(transitivity,[status(thm)],[38, 36])).
% 0.13/0.43 tff(40,plain,
% 0.13/0.43 (^[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))))))))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(41,plain,
% 0.13/0.43 (![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))))))))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[40])).
% 0.13/0.43 tff(42,plain,
% 0.13/0.43 (![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)))))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(43,plain,
% 0.13/0.43 (^[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))))))),
% 0.13/0.43 inference(bind,[status(th)],[])).
% 0.13/0.43 tff(44,plain,
% 0.13/0.43 (![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)))))),
% 0.13/0.43 inference(quant_intro,[status(thm)],[43])).
% 0.13/0.43 tff(45,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')).
% 0.13/0.43 tff(46,plain,
% 0.13/0.43 (![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)))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.13/0.43 tff(47,plain,
% 0.13/0.43 (![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)))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[46, 42])).
% 0.13/0.43 tff(48,plain,(
% 0.13/0.43 ![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)))))))),
% 0.13/0.43 inference(skolemize,[status(sab)],[47])).
% 0.13/0.43 tff(49,plain,
% 0.13/0.43 (![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))))))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[48, 41])).
% 0.13/0.43 tff(50,plain,
% 0.13/0.43 (![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))))))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[49, 39])).
% 0.13/0.43 tff(51,plain,
% 0.13/0.43 (![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))))))))))),
% 0.13/0.43 inference(modus_ponens,[status(thm)],[50, 34])).
% 0.13/0.43 tff(52,plain,
% 0.13/0.43 (((~![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)))))))))))),
% 0.13/0.43 inference(rewrite,[status(thm)],[])).
% 0.13/0.43 tff(53,plain,
% 0.13/0.43 ((~((~(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))))))))))),
% 0.13/0.44 inference(rewrite,[status(thm)],[])).
% 0.13/0.44 tff(54,plain,
% 0.13/0.44 (((~![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)))))))))))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[53])).
% 0.13/0.44 tff(55,plain,
% 0.13/0.44 (((~![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)))))))))))),
% 0.13/0.44 inference(transitivity,[status(thm)],[54, 52])).
% 0.13/0.44 tff(56,plain,
% 0.13/0.44 ((~![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))))))))))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(57,plain,
% 0.13/0.44 ((~![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))))))))))),
% 0.13/0.44 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.13/0.44 tff(58,plain,
% 0.13/0.44 (~((~(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)))))))))),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[57, 51])).
% 0.13/0.44 tff(59,plain,
% 0.13/0.44 (((~(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)))))))),
% 0.13/0.44 inference(tautology,[status(thm)],[])).
% 0.13/0.44 tff(60,plain,
% 0.13/0.44 ((~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))))))),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[59, 58])).
% 0.13/0.44 tff(61,plain,
% 0.13/0.44 (has_endowment(X!4)),
% 0.13/0.44 inference(and_elim,[status(thm)],[9])).
% 0.13/0.44 tff(62,plain,
% 0.13/0.44 ((~((~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))))))),
% 0.13/0.44 inference(tautology,[status(thm)],[])).
% 0.13/0.44 tff(63,plain,
% 0.13/0.44 ((~((~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))))))),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[62, 61])).
% 0.13/0.44 tff(64,plain,
% 0.13/0.44 (![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))))))),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[63, 60])).
% 0.13/0.44 tff(65,plain,
% 0.13/0.44 ((~![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))))))),
% 0.13/0.44 inference(quant_inst,[status(thm)],[])).
% 0.13/0.44 tff(66,plain,
% 0.13/0.44 (~((~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)))))),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[65, 64])).
% 0.13/0.44 tff(67,plain,
% 0.13/0.44 (((~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))),
% 0.13/0.44 inference(tautology,[status(thm)],[])).
% 0.13/0.44 tff(68,plain,
% 0.13/0.44 ((~smaller_or_equal(age(X!4, T1!2), eta)) | has_immunity(X!4, T1!2)),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[67, 66])).
% 0.13/0.44 tff(69,plain,
% 0.13/0.44 (smaller_or_equal(age(X!4, T1!2), eta)),
% 0.13/0.44 inference(and_elim,[status(thm)],[9])).
% 0.13/0.44 tff(70,plain,
% 0.13/0.44 ((~((~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)),
% 0.13/0.44 inference(tautology,[status(thm)],[])).
% 0.13/0.44 tff(71,plain,
% 0.13/0.44 ((~((~smaller_or_equal(age(X!4, T1!2), eta)) | has_immunity(X!4, T1!2))) | has_immunity(X!4, T1!2)),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[70, 69])).
% 0.13/0.44 tff(72,plain,
% 0.13/0.44 (has_immunity(X!4, T1!2)),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[71, 68])).
% 0.13/0.44 tff(73,plain,
% 0.13/0.44 ((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low)),
% 0.13/0.44 inference(tautology,[status(thm)],[])).
% 0.13/0.44 tff(74,plain,
% 0.13/0.44 ((~((~has_immunity(X!4, T1!2)) | (hazard_of_mortality(X!4, T1!2) = very_low))) | (hazard_of_mortality(X!4, T1!2) = very_low)),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[73, 72])).
% 0.13/0.44 tff(75,plain,
% 0.13/0.44 (hazard_of_mortality(X!4, T1!2) = very_low),
% 0.13/0.44 inference(unit_resolution,[status(thm)],[74, 32])).
% 0.13/0.44 tff(76,plain,
% 0.13/0.44 (very_low = hazard_of_mortality(X!4, T1!2)),
% 0.13/0.44 inference(symmetry,[status(thm)],[75])).
% 0.13/0.44 tff(77,assumption,(~positional_advantage(X!4, T2!1)), introduced(assumption)).
% 0.13/0.44 tff(78,assumption,(hazard_of_mortality(X!4, T2!1) = high), introduced(assumption)).
% 0.13/0.44 tff(79,plain,
% 0.13/0.44 (high = hazard_of_mortality(X!4, T2!1)),
% 0.13/0.44 inference(symmetry,[status(thm)],[78])).
% 0.13/0.44 tff(80,plain,
% 0.13/0.44 (greater(high, very_low) <=> greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[79, 76])).
% 0.13/0.44 tff(81,plain,
% 0.13/0.44 (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) <=> greater(high, very_low)),
% 0.13/0.44 inference(symmetry,[status(thm)],[80])).
% 0.13/0.44 tff(82,plain,
% 0.13/0.44 ((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) <=> (~greater(high, very_low))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[81])).
% 0.13/0.44 tff(83,plain,
% 0.13/0.44 ((very_low = hazard_of_mortality(X!4, T0!3)) <=> (hazard_of_mortality(X!4, T0!3) = very_low)),
% 0.13/0.44 inference(commutativity,[status(thm)],[])).
% 0.13/0.44 tff(84,plain,
% 0.13/0.44 ((hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)) <=> (very_low = hazard_of_mortality(X!4, T0!3))),
% 0.13/0.44 inference(monotonicity,[status(thm)],[75])).
% 0.13/0.44 tff(85,plain,
% 0.13/0.45 ((hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)) <=> (hazard_of_mortality(X!4, T0!3) = very_low)),
% 0.13/0.45 inference(transitivity,[status(thm)],[84, 83])).
% 0.13/0.45 tff(86,plain,
% 0.13/0.45 ((hazard_of_mortality(X!4, T0!3) = very_low) <=> (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3))),
% 0.13/0.45 inference(symmetry,[status(thm)],[85])).
% 0.13/0.45 tff(87,plain,
% 0.13/0.45 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~(is_aligned(X!4, T0!3) | (~positional_advantage(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~(is_aligned(X!4, T0!3) | (~positional_advantage(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(88,plain,
% 0.13/0.45 (((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~(is_aligned(X!4, T0!3) | (~positional_advantage(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high) | positional_advantage(X!4, T0!3)))))))))) <=> ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~(is_aligned(X!4, T0!3) | (~positional_advantage(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(89,plain,
% 0.13/0.45 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~(is_aligned(X!4, T0!3) | (~positional_advantage(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high) | positional_advantage(X!4, T0!3))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~(is_aligned(X!4, T0!3) | (~positional_advantage(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))))))))),
% 0.13/0.45 inference(monotonicity,[status(thm)],[88])).
% 0.13/0.45 tff(90,plain,
% 0.13/0.45 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~(is_aligned(X!4, T0!3) | (~positional_advantage(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high) | positional_advantage(X!4, T0!3))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~(is_aligned(X!4, T0!3) | (~positional_advantage(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))))),
% 0.13/0.45 inference(transitivity,[status(thm)],[89, 87])).
% 0.13/0.45 tff(91,plain,
% 0.13/0.45 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~(is_aligned(X!4, T0!3) | (~positional_advantage(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high) | positional_advantage(X!4, T0!3))))))))))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(92,plain,
% 0.13/0.45 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~(is_aligned(X!4, T0!3) | (~positional_advantage(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))))))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.13/0.45 tff(93,plain,
% 0.13/0.45 (~((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~(is_aligned(X!4, T0!3) | (~positional_advantage(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high))))))))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[92, 23, 10])).
% 0.13/0.45 tff(94,plain,
% 0.13/0.45 (((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~(has_immunity(X!4, T0!3) | (~((~((~positional_advantage(X!4, T0!3)) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = low))) | (~(is_aligned(X!4, T0!3) | (~positional_advantage(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod1))) | (~(positional_advantage(X!4, T0!3) | (~is_aligned(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = mod2))) | (~(is_aligned(X!4, T0!3) | positional_advantage(X!4, T0!3) | (hazard_of_mortality(X!4, T0!3) = high)))))))) | ((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))),
% 0.13/0.45 inference(tautology,[status(thm)],[])).
% 0.13/0.45 tff(95,plain,
% 0.13/0.45 ((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low)),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[94, 93])).
% 0.13/0.45 tff(96,plain,
% 0.13/0.45 ((~![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))))))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(97,plain,
% 0.13/0.45 (~((~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)))))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[96, 64])).
% 0.13/0.45 tff(98,plain,
% 0.13/0.45 (((~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))),
% 0.13/0.45 inference(tautology,[status(thm)],[])).
% 0.13/0.45 tff(99,plain,
% 0.13/0.45 ((~smaller_or_equal(age(X!4, T0!3), eta)) | has_immunity(X!4, T0!3)),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[98, 97])).
% 0.13/0.45 tff(100,plain,
% 0.13/0.45 (age(X!4, T0!3) = zero),
% 0.13/0.45 inference(and_elim,[status(thm)],[9])).
% 0.13/0.45 tff(101,plain,
% 0.13/0.45 (smaller_or_equal(age(X!4, T0!3), eta) <=> smaller_or_equal(zero, eta)),
% 0.13/0.45 inference(monotonicity,[status(thm)],[100])).
% 0.13/0.45 tff(102,plain,
% 0.13/0.45 (smaller_or_equal(zero, eta) <=> smaller_or_equal(age(X!4, T0!3), eta)),
% 0.13/0.45 inference(symmetry,[status(thm)],[101])).
% 0.13/0.45 tff(103,plain,
% 0.13/0.45 (^[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))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(104,plain,
% 0.13/0.45 (![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)))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[103])).
% 0.13/0.45 tff(105,plain,
% 0.13/0.45 (![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)))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(106,plain,
% 0.13/0.45 (^[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))))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(107,plain,
% 0.13/0.45 (![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)))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[106])).
% 0.13/0.45 tff(108,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')).
% 0.13/0.45 tff(109,plain,
% 0.13/0.45 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.13/0.45 tff(110,plain,
% 0.13/0.45 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[109, 105])).
% 0.13/0.45 tff(111,plain,(
% 0.13/0.45 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.13/0.45 inference(skolemize,[status(sab)],[110])).
% 0.13/0.45 tff(112,plain,
% 0.13/0.45 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.13/0.45 inference(modus_ponens,[status(thm)],[111, 104])).
% 0.13/0.45 tff(113,plain,
% 0.13/0.45 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(zero, eta) <=> ((zero = eta) | smaller(zero, eta)))),
% 0.13/0.45 inference(quant_inst,[status(thm)],[])).
% 0.13/0.45 tff(114,plain,
% 0.13/0.45 (smaller_or_equal(zero, eta) <=> ((zero = eta) | smaller(zero, eta))),
% 0.13/0.45 inference(unit_resolution,[status(thm)],[113, 112])).
% 0.13/0.45 tff(115,plain,
% 0.13/0.45 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.13/0.45 inference(bind,[status(th)],[])).
% 0.13/0.45 tff(116,plain,
% 0.13/0.45 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.13/0.45 inference(quant_intro,[status(thm)],[115])).
% 0.13/0.45 tff(117,plain,
% 0.13/0.45 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.13/0.45 inference(rewrite,[status(thm)],[])).
% 0.13/0.45 tff(118,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.13/0.46 tff(119,plain,
% 0.13/0.46 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[118, 117])).
% 0.13/0.46 tff(120,plain,(
% 0.13/0.46 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.13/0.46 inference(skolemize,[status(sab)],[119])).
% 0.13/0.46 tff(121,plain,
% 0.13/0.46 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[120, 116])).
% 0.13/0.46 tff(122,plain,
% 0.13/0.46 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(zero, eta) <=> greater(eta, zero))),
% 0.13/0.46 inference(quant_inst,[status(thm)],[])).
% 0.13/0.46 tff(123,plain,
% 0.13/0.46 (smaller(zero, eta) <=> greater(eta, zero)),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[122, 121])).
% 0.13/0.46 tff(124,plain,
% 0.13/0.46 (greater(eta, zero)),
% 0.13/0.46 inference(and_elim,[status(thm)],[9])).
% 0.13/0.46 tff(125,plain,
% 0.13/0.46 ((~(smaller(zero, eta) <=> greater(eta, zero))) | smaller(zero, eta) | (~greater(eta, zero))),
% 0.13/0.46 inference(tautology,[status(thm)],[])).
% 0.13/0.46 tff(126,plain,
% 0.13/0.46 ((~(smaller(zero, eta) <=> greater(eta, zero))) | smaller(zero, eta)),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[125, 124])).
% 0.13/0.46 tff(127,plain,
% 0.13/0.46 (smaller(zero, eta)),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[126, 123])).
% 0.13/0.46 tff(128,plain,
% 0.13/0.46 (((zero = eta) | smaller(zero, eta)) | (~smaller(zero, eta))),
% 0.13/0.46 inference(tautology,[status(thm)],[])).
% 0.13/0.46 tff(129,plain,
% 0.13/0.46 ((zero = eta) | smaller(zero, eta)),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[128, 127])).
% 0.13/0.46 tff(130,plain,
% 0.13/0.46 ((~(smaller_or_equal(zero, eta) <=> ((zero = eta) | smaller(zero, eta)))) | smaller_or_equal(zero, eta) | (~((zero = eta) | smaller(zero, eta)))),
% 0.13/0.46 inference(tautology,[status(thm)],[])).
% 0.13/0.46 tff(131,plain,
% 0.13/0.46 ((~(smaller_or_equal(zero, eta) <=> ((zero = eta) | smaller(zero, eta)))) | smaller_or_equal(zero, eta)),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[130, 129])).
% 0.13/0.46 tff(132,plain,
% 0.13/0.46 (smaller_or_equal(zero, eta)),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[131, 114])).
% 0.13/0.46 tff(133,plain,
% 0.13/0.46 (smaller_or_equal(age(X!4, T0!3), eta)),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[132, 102])).
% 0.13/0.46 tff(134,plain,
% 0.13/0.46 ((~((~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)),
% 0.13/0.46 inference(tautology,[status(thm)],[])).
% 0.13/0.46 tff(135,plain,
% 0.13/0.46 (has_immunity(X!4, T0!3)),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[134, 133, 99])).
% 0.13/0.46 tff(136,plain,
% 0.13/0.46 ((~((~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low))) | (~has_immunity(X!4, T0!3)) | (hazard_of_mortality(X!4, T0!3) = very_low)),
% 0.13/0.46 inference(tautology,[status(thm)],[])).
% 0.13/0.46 tff(137,plain,
% 0.13/0.46 (hazard_of_mortality(X!4, T0!3) = very_low),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[136, 135, 95])).
% 0.13/0.46 tff(138,plain,
% 0.13/0.46 (hazard_of_mortality(X!4, T1!2) = hazard_of_mortality(X!4, T0!3)),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[137, 86])).
% 0.13/0.46 tff(139,plain,
% 0.13/0.46 ((~(~((~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))))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(140,plain,
% 0.13/0.46 ((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)))))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(141,plain,
% 0.13/0.46 ((~(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))))))),
% 0.13/0.46 inference(monotonicity,[status(thm)],[140])).
% 0.13/0.46 tff(142,plain,
% 0.13/0.46 ((~(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))))),
% 0.13/0.46 inference(transitivity,[status(thm)],[141, 139])).
% 0.13/0.46 tff(143,plain,
% 0.13/0.46 (~(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)))),
% 0.13/0.46 inference(or_elim,[status(thm)],[8])).
% 0.13/0.46 tff(144,plain,
% 0.13/0.46 ((~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)))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[143, 142])).
% 0.13/0.46 tff(145,plain,
% 0.13/0.46 (~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[144, 138])).
% 0.13/0.46 tff(146,plain,
% 0.13/0.46 (~greater(high, very_low)),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[145, 82])).
% 0.13/0.46 tff(147,plain,
% 0.13/0.46 (greater(mod1, low) <=> greater(mod1, low)),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(148,axiom,(greater(mod1, low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18b')).
% 0.13/0.46 tff(149,plain,
% 0.13/0.46 (greater(mod1, low)),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.13/0.46 tff(150,plain,
% 0.13/0.46 (greater(high, mod1) <=> greater(high, mod1)),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(151,axiom,(greater(high, mod1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18a')).
% 0.13/0.46 tff(152,plain,
% 0.13/0.46 (greater(high, mod1)),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[151, 150])).
% 0.13/0.46 tff(153,plain,
% 0.13/0.46 (![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)))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(154,plain,
% 0.13/0.46 (^[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)))))),
% 0.13/0.46 inference(bind,[status(th)],[])).
% 0.13/0.46 tff(155,plain,
% 0.13/0.46 (![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)))),
% 0.13/0.46 inference(quant_intro,[status(thm)],[154])).
% 0.13/0.46 tff(156,plain,
% 0.13/0.46 (![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))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(157,plain,
% 0.13/0.46 (^[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)))),
% 0.13/0.46 inference(bind,[status(th)],[])).
% 0.13/0.46 tff(158,plain,
% 0.13/0.46 (![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))),
% 0.13/0.46 inference(quant_intro,[status(thm)],[157])).
% 0.13/0.46 tff(159,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')).
% 0.13/0.46 tff(160,plain,
% 0.13/0.46 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[159, 158])).
% 0.13/0.46 tff(161,plain,
% 0.13/0.46 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[160, 156])).
% 0.13/0.46 tff(162,plain,(
% 0.13/0.46 ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.13/0.46 inference(skolemize,[status(sab)],[161])).
% 0.13/0.46 tff(163,plain,
% 0.13/0.46 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[162, 155])).
% 0.13/0.46 tff(164,plain,
% 0.13/0.46 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[163, 153])).
% 0.13/0.46 tff(165,plain,
% 0.13/0.46 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(166,plain,
% 0.13/0.46 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.13/0.46 inference(quant_inst,[status(thm)],[])).
% 0.13/0.46 tff(167,plain,
% 0.13/0.46 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[166, 165])).
% 0.13/0.46 tff(168,plain,
% 0.13/0.46 (greater(high, low)),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[167, 164, 152, 149])).
% 0.13/0.46 tff(169,plain,
% 0.13/0.46 (greater(low, very_low) <=> greater(low, very_low)),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(170,axiom,(greater(low, very_low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18c')).
% 0.13/0.46 tff(171,plain,
% 0.13/0.46 (greater(low, very_low)),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[170, 169])).
% 0.13/0.46 tff(172,plain,
% 0.13/0.46 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(173,plain,
% 0.13/0.46 ((greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low))) <=> ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(174,plain,
% 0.13/0.46 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))))),
% 0.13/0.46 inference(monotonicity,[status(thm)],[173])).
% 0.13/0.46 tff(175,plain,
% 0.13/0.46 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.13/0.46 inference(transitivity,[status(thm)],[174, 172])).
% 0.13/0.46 tff(176,plain,
% 0.13/0.46 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low)))),
% 0.13/0.46 inference(quant_inst,[status(thm)],[])).
% 0.13/0.46 tff(177,plain,
% 0.13/0.46 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[176, 175])).
% 0.13/0.46 tff(178,plain,
% 0.13/0.46 (greater(high, very_low)),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[177, 164, 171, 168])).
% 0.13/0.46 tff(179,plain,
% 0.13/0.46 ($false),
% 0.13/0.46 inference(unit_resolution,[status(thm)],[178, 146])).
% 0.13/0.46 tff(180,plain,(~(hazard_of_mortality(X!4, T2!1) = high)), inference(lemma,lemma(discharge,[]))).
% 0.13/0.46 tff(181,plain,
% 0.13/0.46 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))),
% 0.23/0.46 inference(rewrite,[status(thm)],[])).
% 0.23/0.46 tff(182,plain,
% 0.23/0.46 (((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high) | positional_advantage(X!4, T2!1)))))))))) <=> ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))),
% 0.23/0.46 inference(rewrite,[status(thm)],[])).
% 0.23/0.46 tff(183,plain,
% 0.23/0.46 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high) | positional_advantage(X!4, T2!1))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))))))))),
% 0.23/0.47 inference(monotonicity,[status(thm)],[182])).
% 0.23/0.47 tff(184,plain,
% 0.23/0.47 (((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high) | positional_advantage(X!4, T2!1))))))))))) <=> ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))))),
% 0.23/0.47 inference(transitivity,[status(thm)],[183, 181])).
% 0.23/0.47 tff(185,plain,
% 0.23/0.47 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | ((~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high) | positional_advantage(X!4, T2!1))))))))))),
% 0.23/0.47 inference(quant_inst,[status(thm)],[])).
% 0.23/0.47 tff(186,plain,
% 0.23/0.47 ((~![X: $i, T: $i] : ((~organization(X)) | (~((~((~has_immunity(X, T)) | (hazard_of_mortality(X, T) = very_low))) | (~(has_immunity(X, T) | (~((~((~positional_advantage(X, T)) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = low))) | (~(is_aligned(X, T) | (~positional_advantage(X, T)) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(is_aligned(X, T) | (hazard_of_mortality(X, T) = high) | positional_advantage(X, T))))))))))) | (~organization(X!4)) | (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))))))),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[185, 184])).
% 0.23/0.47 tff(187,plain,
% 0.23/0.47 (~((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))))),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[186, 23, 10])).
% 0.23/0.47 tff(188,plain,
% 0.23/0.47 (((~((~has_immunity(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = very_low))) | (~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))))) | (has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))),
% 0.23/0.47 inference(tautology,[status(thm)],[])).
% 0.23/0.47 tff(189,plain,
% 0.23/0.47 (has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[188, 187])).
% 0.23/0.47 tff(190,plain,
% 0.23/0.47 ((~![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))))))),
% 0.23/0.47 inference(quant_inst,[status(thm)],[])).
% 0.23/0.47 tff(191,plain,
% 0.23/0.47 (~((~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)))))),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[190, 64])).
% 0.23/0.47 tff(192,plain,
% 0.23/0.47 (((~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)))),
% 0.23/0.47 inference(tautology,[status(thm)],[])).
% 0.23/0.47 tff(193,plain,
% 0.23/0.47 ((~has_immunity(X!4, T2!1)) | (~greater(age(X!4, T2!1), eta))),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[192, 191])).
% 0.23/0.47 tff(194,plain,
% 0.23/0.47 (greater(age(X!4, T2!1), eta)),
% 0.23/0.47 inference(and_elim,[status(thm)],[9])).
% 0.23/0.47 tff(195,plain,
% 0.23/0.47 ((~((~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))),
% 0.23/0.47 inference(tautology,[status(thm)],[])).
% 0.23/0.47 tff(196,plain,
% 0.23/0.47 ((~((~has_immunity(X!4, T2!1)) | (~greater(age(X!4, T2!1), eta)))) | (~has_immunity(X!4, T2!1))),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[195, 194])).
% 0.23/0.47 tff(197,plain,
% 0.23/0.47 (~has_immunity(X!4, T2!1)),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[196, 193])).
% 0.23/0.47 tff(198,plain,
% 0.23/0.47 ((~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))) | has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))),
% 0.23/0.47 inference(tautology,[status(thm)],[])).
% 0.23/0.47 tff(199,plain,
% 0.23/0.47 ((~(has_immunity(X!4, T2!1) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))))) | (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))))),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[198, 197])).
% 0.23/0.47 tff(200,plain,
% 0.23/0.47 (~((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))))),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[199, 189])).
% 0.23/0.47 tff(201,plain,
% 0.23/0.47 (((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))) | (is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))),
% 0.23/0.47 inference(tautology,[status(thm)],[])).
% 0.23/0.47 tff(202,plain,
% 0.23/0.47 (is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[201, 200])).
% 0.23/0.47 tff(203,plain,
% 0.23/0.47 ((~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high))) | is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)),
% 0.23/0.47 inference(tautology,[status(thm)],[])).
% 0.23/0.47 tff(204,plain,
% 0.23/0.47 (is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[203, 202])).
% 0.23/0.47 tff(205,plain,
% 0.23/0.47 (is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1)),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[204, 180])).
% 0.23/0.47 tff(206,plain,
% 0.23/0.47 (is_aligned(X!4, T2!1)),
% 0.23/0.47 inference(unit_resolution,[status(thm)],[205, 77])).
% 0.23/0.47 tff(207,assumption,(hazard_of_mortality(X!4, T2!1) = mod2), introduced(assumption)).
% 0.23/0.47 tff(208,plain,
% 0.23/0.47 (mod2 = hazard_of_mortality(X!4, T2!1)),
% 0.23/0.47 inference(symmetry,[status(thm)],[207])).
% 0.23/0.47 tff(209,plain,
% 0.23/0.47 (greater(mod2, very_low) <=> greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.23/0.47 inference(monotonicity,[status(thm)],[208, 76])).
% 0.23/0.47 tff(210,plain,
% 0.23/0.47 (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) <=> greater(mod2, very_low)),
% 0.23/0.47 inference(symmetry,[status(thm)],[209])).
% 0.23/0.47 tff(211,plain,
% 0.23/0.47 ((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) <=> (~greater(mod2, very_low))),
% 0.23/0.47 inference(monotonicity,[status(thm)],[210])).
% 0.23/0.47 tff(212,plain,
% 0.23/0.47 (~greater(mod2, very_low)),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[145, 211])).
% 0.23/0.47 tff(213,plain,
% 0.23/0.47 (greater(mod2, low) <=> greater(mod2, low)),
% 0.23/0.47 inference(rewrite,[status(thm)],[])).
% 0.23/0.47 tff(214,axiom,(greater(mod2, low)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','assumption_18e')).
% 0.23/0.47 tff(215,plain,
% 0.23/0.47 (greater(mod2, low)),
% 0.23/0.47 inference(modus_ponens,[status(thm)],[214, 213])).
% 0.23/0.47 tff(216,plain,
% 0.23/0.47 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.23/0.48 inference(rewrite,[status(thm)],[])).
% 0.23/0.48 tff(217,plain,
% 0.23/0.48 ((greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low))) <=> ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.23/0.48 inference(rewrite,[status(thm)],[])).
% 0.23/0.48 tff(218,plain,
% 0.23/0.48 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low))))),
% 0.23/0.48 inference(monotonicity,[status(thm)],[217])).
% 0.23/0.48 tff(219,plain,
% 0.23/0.48 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.23/0.48 inference(transitivity,[status(thm)],[218, 216])).
% 0.23/0.48 tff(220,plain,
% 0.23/0.48 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low)))),
% 0.23/0.48 inference(quant_inst,[status(thm)],[])).
% 0.23/0.48 tff(221,plain,
% 0.23/0.48 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low))),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[220, 219])).
% 0.23/0.48 tff(222,plain,
% 0.23/0.48 (greater(mod2, very_low)),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[221, 164, 171, 215])).
% 0.23/0.48 tff(223,plain,
% 0.23/0.48 ($false),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[222, 212])).
% 0.23/0.48 tff(224,plain,(~(hazard_of_mortality(X!4, T2!1) = mod2)), inference(lemma,lemma(discharge,[]))).
% 0.23/0.48 tff(225,plain,
% 0.23/0.48 (((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))) | (positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))),
% 0.23/0.48 inference(tautology,[status(thm)],[])).
% 0.23/0.48 tff(226,plain,
% 0.23/0.48 (positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2)),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[225, 200])).
% 0.23/0.48 tff(227,plain,
% 0.23/0.48 ((~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2)),
% 0.23/0.48 inference(tautology,[status(thm)],[])).
% 0.23/0.48 tff(228,plain,
% 0.23/0.48 (positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2)),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[227, 226])).
% 0.23/0.48 tff(229,plain,
% 0.23/0.48 (positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1))),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[228, 224])).
% 0.23/0.48 tff(230,plain,
% 0.23/0.48 ($false),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[229, 206, 77])).
% 0.23/0.48 tff(231,plain,(positional_advantage(X!4, T2!1)), inference(lemma,lemma(discharge,[]))).
% 0.23/0.48 tff(232,assumption,(hazard_of_mortality(X!4, T2!1) = mod1), introduced(assumption)).
% 0.23/0.48 tff(233,plain,
% 0.23/0.48 (mod1 = hazard_of_mortality(X!4, T2!1)),
% 0.23/0.48 inference(symmetry,[status(thm)],[232])).
% 0.23/0.48 tff(234,plain,
% 0.23/0.48 (greater(mod1, very_low) <=> greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.23/0.48 inference(monotonicity,[status(thm)],[233, 76])).
% 0.23/0.48 tff(235,plain,
% 0.23/0.48 (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) <=> greater(mod1, very_low)),
% 0.23/0.48 inference(symmetry,[status(thm)],[234])).
% 0.23/0.48 tff(236,plain,
% 0.23/0.48 ((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) <=> (~greater(mod1, very_low))),
% 0.23/0.48 inference(monotonicity,[status(thm)],[235])).
% 0.23/0.48 tff(237,plain,
% 0.23/0.48 (~greater(mod1, very_low)),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[145, 236])).
% 0.23/0.48 tff(238,plain,
% 0.23/0.48 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.23/0.48 inference(rewrite,[status(thm)],[])).
% 0.23/0.48 tff(239,plain,
% 0.23/0.48 ((greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low))) <=> ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.23/0.48 inference(rewrite,[status(thm)],[])).
% 0.23/0.48 tff(240,plain,
% 0.23/0.48 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low))))),
% 0.23/0.48 inference(monotonicity,[status(thm)],[239])).
% 0.23/0.48 tff(241,plain,
% 0.23/0.48 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.23/0.48 inference(transitivity,[status(thm)],[240, 238])).
% 0.23/0.48 tff(242,plain,
% 0.23/0.48 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low)))),
% 0.23/0.48 inference(quant_inst,[status(thm)],[])).
% 0.23/0.48 tff(243,plain,
% 0.23/0.48 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low))),
% 0.23/0.48 inference(modus_ponens,[status(thm)],[242, 241])).
% 0.23/0.48 tff(244,plain,
% 0.23/0.48 (greater(mod1, very_low)),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[243, 164, 149, 171])).
% 0.23/0.48 tff(245,plain,
% 0.23/0.48 ($false),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[244, 237])).
% 0.23/0.48 tff(246,plain,(~(hazard_of_mortality(X!4, T2!1) = mod1)), inference(lemma,lemma(discharge,[]))).
% 0.23/0.48 tff(247,plain,
% 0.23/0.48 (((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))) | (is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))),
% 0.23/0.48 inference(tautology,[status(thm)],[])).
% 0.23/0.48 tff(248,plain,
% 0.23/0.48 (is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1)),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[247, 200])).
% 0.23/0.48 tff(249,plain,
% 0.23/0.48 ((~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1)),
% 0.23/0.48 inference(tautology,[status(thm)],[])).
% 0.23/0.48 tff(250,plain,
% 0.23/0.48 (is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1)),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[249, 248])).
% 0.23/0.48 tff(251,plain,
% 0.23/0.48 (is_aligned(X!4, T2!1)),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[250, 246, 231])).
% 0.23/0.48 tff(252,plain,
% 0.23/0.48 (((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~(is_aligned(X!4, T2!1) | (~positional_advantage(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod1))) | (~(positional_advantage(X!4, T2!1) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = mod2))) | (~(is_aligned(X!4, T2!1) | positional_advantage(X!4, T2!1) | (hazard_of_mortality(X!4, T2!1) = high)))) | ((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))),
% 0.23/0.48 inference(tautology,[status(thm)],[])).
% 0.23/0.48 tff(253,plain,
% 0.23/0.48 ((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low)),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[252, 200])).
% 0.23/0.48 tff(254,plain,
% 0.23/0.48 ((~((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low))) | (~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low)),
% 0.23/0.48 inference(tautology,[status(thm)],[])).
% 0.23/0.48 tff(255,plain,
% 0.23/0.48 ((~positional_advantage(X!4, T2!1)) | (~is_aligned(X!4, T2!1)) | (hazard_of_mortality(X!4, T2!1) = low)),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[254, 253])).
% 0.23/0.48 tff(256,plain,
% 0.23/0.48 (hazard_of_mortality(X!4, T2!1) = low),
% 0.23/0.48 inference(unit_resolution,[status(thm)],[255, 251, 231])).
% 0.23/0.48 tff(257,plain,
% 0.23/0.48 (low = hazard_of_mortality(X!4, T2!1)),
% 0.23/0.49 inference(symmetry,[status(thm)],[256])).
% 0.23/0.49 tff(258,plain,
% 0.23/0.49 (greater(low, very_low) <=> greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))),
% 0.23/0.49 inference(monotonicity,[status(thm)],[257, 76])).
% 0.23/0.49 tff(259,plain,
% 0.23/0.49 (greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2)) <=> greater(low, very_low)),
% 0.23/0.49 inference(symmetry,[status(thm)],[258])).
% 0.23/0.49 tff(260,plain,
% 0.23/0.49 ((~greater(hazard_of_mortality(X!4, T2!1), hazard_of_mortality(X!4, T1!2))) <=> (~greater(low, very_low))),
% 0.23/0.49 inference(monotonicity,[status(thm)],[259])).
% 0.23/0.49 tff(261,plain,
% 0.23/0.49 (~greater(low, very_low)),
% 0.23/0.49 inference(modus_ponens,[status(thm)],[145, 260])).
% 0.23/0.49 tff(262,plain,
% 0.23/0.49 ($false),
% 0.23/0.49 inference(unit_resolution,[status(thm)],[171, 261])).
% 0.23/0.49 % SZS output end Proof
% 0.23/0.49 % E exiting
%------------------------------------------------------------------------------