%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT064+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n014.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 0.22s 0.51s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT064+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 7 13:43:43 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.22/0.51 % SZS status Theorem
% 0.22/0.51 % SZS output start Proof
% 0.22/0.51 tff(smaller_type, type, (
% 0.22/0.51 smaller: ( $i * $i ) > $o)).
% 0.22/0.51 tff(hazard_of_mortality_type, type, (
% 0.22/0.51 hazard_of_mortality: ( $i * $i ) > $i)).
% 0.22/0.51 tff(tptp_fun_T3_2_type, type, (
% 0.22/0.51 tptp_fun_T3_2: $i)).
% 0.22/0.51 tff(tptp_fun_X_6_type, type, (
% 0.22/0.51 tptp_fun_X_6: $i)).
% 0.22/0.51 tff(tptp_fun_T2_3_type, type, (
% 0.22/0.51 tptp_fun_T2_3: $i)).
% 0.22/0.51 tff(mod1_type, type, (
% 0.22/0.51 mod1: $i)).
% 0.22/0.51 tff(low_type, type, (
% 0.22/0.51 low: $i)).
% 0.22/0.51 tff(is_aligned_type, type, (
% 0.22/0.51 is_aligned: ( $i * $i ) > $o)).
% 0.22/0.51 tff(tptp_fun_T0_5_type, type, (
% 0.22/0.51 tptp_fun_T0_5: $i)).
% 0.22/0.51 tff(organization_type, type, (
% 0.22/0.51 organization: $i > $o)).
% 0.22/0.51 tff(dissimilar_type, type, (
% 0.22/0.51 dissimilar: ( $i * $i * $i ) > $o)).
% 0.22/0.51 tff(greater_type, type, (
% 0.22/0.51 greater: ( $i * $i ) > $o)).
% 0.22/0.51 tff(sigma_type, type, (
% 0.22/0.51 sigma: $i)).
% 0.22/0.51 tff(age_type, type, (
% 0.22/0.51 age: ( $i * $i ) > $i)).
% 0.22/0.51 tff(zero_type, type, (
% 0.22/0.51 zero: $i)).
% 0.22/0.51 tff(smaller_or_equal_type, type, (
% 0.22/0.51 smaller_or_equal: ( $i * $i ) > $o)).
% 0.22/0.51 tff(tau_type, type, (
% 0.22/0.51 tau: $i)).
% 0.22/0.51 tff(tptp_fun_T1_4_type, type, (
% 0.22/0.51 tptp_fun_T1_4: $i)).
% 0.22/0.52 tff(has_endowment_type, type, (
% 0.22/0.52 has_endowment: $i > $o)).
% 0.22/0.52 tff(robust_position_type, type, (
% 0.22/0.52 robust_position: $i > $o)).
% 0.22/0.52 tff(positional_advantage_type, type, (
% 0.22/0.52 positional_advantage: ( $i * $i ) > $o)).
% 0.22/0.52 tff(high_type, type, (
% 0.22/0.52 high: $i)).
% 0.22/0.52 tff(mod2_type, type, (
% 0.22/0.52 mod2: $i)).
% 0.22/0.52 tff(has_immunity_type, type, (
% 0.22/0.52 has_immunity: ( $i * $i ) > $o)).
% 0.22/0.52 tff(very_low_type, type, (
% 0.22/0.52 very_low: $i)).
% 0.22/0.52 tff(tptp_fun_T_1_type, type, (
% 0.22/0.52 tptp_fun_T_1: $i > $i)).
% 0.22/0.52 tff(1,plain,
% 0.22/0.52 (^[X: $i, T0: $i, T: $i] : refl((~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(2,plain,
% 0.22/0.52 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[1])).
% 0.22/0.52 tff(3,plain,
% 0.22/0.52 (^[X: $i, T0: $i, T: $i] : trans(trans(monotonicity(trans(monotonicity(rewrite((~(is_aligned(X, T0) <=> is_aligned(X, T))) <=> (~(is_aligned(X, T0) <=> is_aligned(X, T)))), ((organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))), rewrite((organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))), ((organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T)))))), ((dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))))), rewrite((dissimilar(X, T0, T) <=> (~((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))), ((dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))))), rewrite((~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))), ((dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(4,plain,
% 0.22/0.52 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> ![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[3])).
% 0.22/0.52 tff(5,plain,
% 0.22/0.52 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T))))) <=> ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(6,axiom,(![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_2')).
% 0.22/0.52 tff(7,plain,
% 0.22/0.52 (![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.22/0.52 tff(8,plain,(
% 0.22/0.52 ![X: $i, T0: $i, T: $i] : (dissimilar(X, T0, T) <=> (organization(X) & (~(is_aligned(X, T0) <=> is_aligned(X, T)))))),
% 0.22/0.52 inference(skolemize,[status(sab)],[7])).
% 0.22/0.52 tff(9,plain,
% 0.22/0.52 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.22/0.52 tff(10,plain,
% 0.22/0.52 (![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.22/0.52 tff(11,plain,
% 0.22/0.52 ((~![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))) | (~(((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2))) <=> dissimilar(X!6, T0!5, T3!2)))),
% 0.22/0.52 inference(quant_inst,[status(thm)],[])).
% 0.22/0.52 tff(12,plain,
% 0.22/0.52 (~(((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2))) <=> dissimilar(X!6, T0!5, T3!2))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[11, 10])).
% 0.22/0.52 tff(13,plain,
% 0.22/0.52 ((~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(sigma, tau) & smaller_or_equal(age(X, T1), tau) & greater(age(X, T2), tau) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma))) | (smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(sigma, tau) & smaller_or_equal(age(X, T1), tau) & greater(age(X, T2), tau) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma))) | (smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(14,plain,
% 0.22/0.52 ((~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : (((((((((((organization(X) & robust_position(X)) & (~has_endowment(X))) & (age(X, T0) = zero)) & greater(sigma, zero)) & greater(tau, zero)) & greater(sigma, tau)) & smaller_or_equal(age(X, T1), tau)) & greater(age(X, T2), tau)) & smaller_or_equal(age(X, T2), sigma)) & greater(age(X, T3), sigma)) => ((smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1))) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))) <=> (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(sigma, tau) & smaller_or_equal(age(X, T1), tau) & greater(age(X, T2), tau) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma))) | (smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0)))))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(15,axiom,(~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : (((((((((((organization(X) & robust_position(X)) & (~has_endowment(X))) & (age(X, T0) = zero)) & greater(sigma, zero)) & greater(tau, zero)) & greater(sigma, tau)) & smaller_or_equal(age(X, T1), tau)) & greater(age(X, T2), tau)) & smaller_or_equal(age(X, T2), sigma)) & greater(age(X, T3), sigma)) => ((smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1))) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem_10')).
% 0.22/0.52 tff(16,plain,
% 0.22/0.52 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(sigma, tau) & smaller_or_equal(age(X, T1), tau) & greater(age(X, T2), tau) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma))) | (smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.22/0.52 tff(17,plain,
% 0.22/0.52 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(sigma, tau) & smaller_or_equal(age(X, T1), tau) & greater(age(X, T2), tau) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma))) | (smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[16, 13])).
% 0.22/0.52 tff(18,plain,
% 0.22/0.52 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(sigma, tau) & smaller_or_equal(age(X, T1), tau) & greater(age(X, T2), tau) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma))) | (smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.22/0.52 tff(19,plain,
% 0.22/0.52 (~![X: $i, T0: $i, T1: $i, T2: $i, T3: $i] : ((~(organization(X) & robust_position(X) & (~has_endowment(X)) & (age(X, T0) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(sigma, tau) & smaller_or_equal(age(X, T1), tau) & greater(age(X, T2), tau) & smaller_or_equal(age(X, T2), sigma) & greater(age(X, T3), sigma))) | (smaller(hazard_of_mortality(X, T2), hazard_of_mortality(X, T3)) & smaller(hazard_of_mortality(X, T3), hazard_of_mortality(X, T1)) & (hazard_of_mortality(X, T1) = hazard_of_mortality(X, T0))))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[18, 13])).
% 0.22/0.52 tff(20,plain,(
% 0.22/0.52 ~((~(organization(X!6) & robust_position(X!6) & (~has_endowment(X!6)) & (age(X!6, T0!5) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(sigma, tau) & smaller_or_equal(age(X!6, T1!4), tau) & greater(age(X!6, T2!3), tau) & smaller_or_equal(age(X!6, T2!3), sigma) & greater(age(X!6, T3!2), sigma))) | (smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2)) & smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) & (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))))),
% 0.22/0.52 inference(skolemize,[status(sab)],[19])).
% 0.22/0.52 tff(21,plain,
% 0.22/0.52 (organization(X!6) & robust_position(X!6) & (~has_endowment(X!6)) & (age(X!6, T0!5) = zero) & greater(sigma, zero) & greater(tau, zero) & greater(sigma, tau) & smaller_or_equal(age(X!6, T1!4), tau) & greater(age(X!6, T2!3), tau) & smaller_or_equal(age(X!6, T2!3), sigma) & greater(age(X!6, T3!2), sigma)),
% 0.22/0.52 inference(or_elim,[status(thm)],[20])).
% 0.22/0.52 tff(22,plain,
% 0.22/0.52 (age(X!6, T0!5) = zero),
% 0.22/0.52 inference(and_elim,[status(thm)],[21])).
% 0.22/0.52 tff(23,plain,
% 0.22/0.52 (organization(X!6)),
% 0.22/0.52 inference(and_elim,[status(thm)],[21])).
% 0.22/0.52 tff(24,plain,
% 0.22/0.52 (^[X: $i, T0: $i, T: $i] : refl(((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero))) <=> ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero))))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(25,plain,
% 0.22/0.52 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero))) <=> ![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[24])).
% 0.22/0.52 tff(26,plain,
% 0.22/0.52 (^[X: $i, T0: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (age(X, T0) = zero)) <=> (~((~organization(X)) | (~(age(X, T0) = zero))))), ((~(organization(X) & (age(X, T0) = zero))) <=> (~(~((~organization(X)) | (~(age(X, T0) = zero))))))), rewrite((~(~((~organization(X)) | (~(age(X, T0) = zero))))) <=> ((~organization(X)) | (~(age(X, T0) = zero)))), ((~(organization(X) & (age(X, T0) = zero))) <=> ((~organization(X)) | (~(age(X, T0) = zero))))), (((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> (((~organization(X)) | (~(age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))))), rewrite((((~organization(X)) | (~(age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))), (((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(27,plain,
% 0.22/0.52 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[26])).
% 0.22/0.52 tff(28,plain,
% 0.22/0.52 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(29,plain,
% 0.22/0.52 (^[X: $i, T0: $i, T: $i] : rewrite(((organization(X) & (age(X, T0) = zero)) => (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(30,plain,
% 0.22/0.52 (![X: $i, T0: $i, T: $i] : ((organization(X) & (age(X, T0) = zero)) => (greater(age(X, T), sigma) <=> dissimilar(X, T0, T))) <=> ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[29])).
% 0.22/0.52 tff(31,axiom,(![X: $i, T0: $i, T: $i] : ((organization(X) & (age(X, T0) = zero)) => (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_15')).
% 0.22/0.52 tff(32,plain,
% 0.22/0.52 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.22/0.52 tff(33,plain,
% 0.22/0.52 (![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.22/0.52 tff(34,plain,(
% 0.22/0.52 ![X: $i, T0: $i, T: $i] : ((~(organization(X) & (age(X, T0) = zero))) | (greater(age(X, T), sigma) <=> dissimilar(X, T0, T)))),
% 0.22/0.52 inference(skolemize,[status(sab)],[33])).
% 0.22/0.52 tff(35,plain,
% 0.22/0.52 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[34, 27])).
% 0.22/0.52 tff(36,plain,
% 0.22/0.52 (![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[35, 25])).
% 0.22/0.52 tff(37,plain,
% 0.22/0.52 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(38,plain,
% 0.22/0.52 (((greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero))) <=> ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(39,plain,
% 0.22/0.52 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2))))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[38])).
% 0.22/0.52 tff(40,plain,
% 0.22/0.52 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)))),
% 0.22/0.52 inference(transitivity,[status(thm)],[39, 37])).
% 0.22/0.52 tff(41,plain,
% 0.22/0.52 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))),
% 0.22/0.52 inference(quant_inst,[status(thm)],[])).
% 0.22/0.52 tff(42,plain,
% 0.22/0.52 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.22/0.52 tff(43,plain,
% 0.22/0.52 (greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[42, 36, 23, 22])).
% 0.22/0.52 tff(44,plain,
% 0.22/0.52 (greater(age(X!6, T3!2), sigma)),
% 0.22/0.52 inference(and_elim,[status(thm)],[21])).
% 0.22/0.52 tff(45,plain,
% 0.22/0.52 ((~(greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2))) | (~greater(age(X!6, T3!2), sigma)) | dissimilar(X!6, T0!5, T3!2)),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(46,plain,
% 0.22/0.52 ((~(greater(age(X!6, T3!2), sigma) <=> dissimilar(X!6, T0!5, T3!2))) | dissimilar(X!6, T0!5, T3!2)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[45, 44])).
% 0.22/0.52 tff(47,plain,
% 0.22/0.52 (dissimilar(X!6, T0!5, T3!2)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[46, 43])).
% 0.22/0.52 tff(48,plain,
% 0.22/0.52 ((((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2))) <=> dissimilar(X!6, T0!5, T3!2)) | (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2)))) | (~dissimilar(X!6, T0!5, T3!2))),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(49,plain,
% 0.22/0.52 ((((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2))) <=> dissimilar(X!6, T0!5, T3!2)) | (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2))))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[48, 47])).
% 0.22/0.52 tff(50,plain,
% 0.22/0.52 (~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2)))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[49, 12])).
% 0.22/0.52 tff(51,plain,
% 0.22/0.52 (((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2))) | (~(is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2)))),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(52,plain,
% 0.22/0.52 (~(is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[51, 50])).
% 0.22/0.52 tff(53,plain,
% 0.22/0.52 (^[X: $i, T: $i] : refl((is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero))) <=> (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero))))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(54,plain,
% 0.22/0.52 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero))) <=> ![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[53])).
% 0.22/0.52 tff(55,plain,
% 0.22/0.52 (^[X: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (age(X, T) = zero)) <=> (~((~organization(X)) | (~(age(X, T) = zero))))), ((~(organization(X) & (age(X, T) = zero))) <=> (~(~((~organization(X)) | (~(age(X, T) = zero))))))), rewrite((~(~((~organization(X)) | (~(age(X, T) = zero))))) <=> ((~organization(X)) | (~(age(X, T) = zero)))), ((~(organization(X) & (age(X, T) = zero))) <=> ((~organization(X)) | (~(age(X, T) = zero))))), (((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)) <=> (((~organization(X)) | (~(age(X, T) = zero))) | is_aligned(X, T)))), rewrite((((~organization(X)) | (~(age(X, T) = zero))) | is_aligned(X, T)) <=> (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))), (((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)) <=> (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(56,plain,
% 0.22/0.52 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)) <=> ![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[55])).
% 0.22/0.52 tff(57,plain,
% 0.22/0.52 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)) <=> ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(58,plain,
% 0.22/0.52 (^[X: $i, T: $i] : rewrite(((organization(X) & (age(X, T) = zero)) => is_aligned(X, T)) <=> ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T)))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(59,plain,
% 0.22/0.52 (![X: $i, T: $i] : ((organization(X) & (age(X, T) = zero)) => is_aligned(X, T)) <=> ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[58])).
% 0.22/0.52 tff(60,axiom,(![X: $i, T: $i] : ((organization(X) & (age(X, T) = zero)) => is_aligned(X, T))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_13')).
% 0.22/0.52 tff(61,plain,
% 0.22/0.52 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.22/0.52 tff(62,plain,
% 0.22/0.52 (![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.22/0.52 tff(63,plain,(
% 0.22/0.52 ![X: $i, T: $i] : ((~(organization(X) & (age(X, T) = zero))) | is_aligned(X, T))),
% 0.22/0.52 inference(skolemize,[status(sab)],[62])).
% 0.22/0.52 tff(64,plain,
% 0.22/0.52 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.22/0.52 tff(65,plain,
% 0.22/0.52 (![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[64, 54])).
% 0.22/0.52 tff(66,plain,
% 0.22/0.52 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | ((~organization(X!6)) | is_aligned(X!6, T0!5) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (~organization(X!6)) | is_aligned(X!6, T0!5) | (~(age(X!6, T0!5) = zero)))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(67,plain,
% 0.22/0.52 ((is_aligned(X!6, T0!5) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero))) <=> ((~organization(X!6)) | is_aligned(X!6, T0!5) | (~(age(X!6, T0!5) = zero)))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(68,plain,
% 0.22/0.52 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!6, T0!5) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | ((~organization(X!6)) | is_aligned(X!6, T0!5) | (~(age(X!6, T0!5) = zero))))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[67])).
% 0.22/0.52 tff(69,plain,
% 0.22/0.52 (((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!6, T0!5) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (~organization(X!6)) | is_aligned(X!6, T0!5) | (~(age(X!6, T0!5) = zero)))),
% 0.22/0.52 inference(transitivity,[status(thm)],[68, 66])).
% 0.22/0.52 tff(70,plain,
% 0.22/0.52 ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (is_aligned(X!6, T0!5) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))),
% 0.22/0.52 inference(quant_inst,[status(thm)],[])).
% 0.22/0.52 tff(71,plain,
% 0.22/0.52 ((~![X: $i, T: $i] : (is_aligned(X, T) | (~organization(X)) | (~(age(X, T) = zero)))) | (~organization(X!6)) | is_aligned(X!6, T0!5) | (~(age(X!6, T0!5) = zero))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.22/0.52 tff(72,plain,
% 0.22/0.52 (is_aligned(X!6, T0!5)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[71, 65, 23, 22])).
% 0.22/0.52 tff(73,plain,
% 0.22/0.52 ((is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2)) | (~is_aligned(X!6, T0!5)) | (~is_aligned(X!6, T3!2))),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(74,plain,
% 0.22/0.52 ((is_aligned(X!6, T0!5) <=> is_aligned(X!6, T3!2)) | (~is_aligned(X!6, T3!2))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[73, 72])).
% 0.22/0.52 tff(75,plain,
% 0.22/0.52 (~is_aligned(X!6, T3!2)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[74, 52])).
% 0.22/0.52 tff(76,assumption,(has_immunity(X!6, T3!2)), introduced(assumption)).
% 0.22/0.52 tff(77,plain,
% 0.22/0.52 (~has_endowment(X!6)),
% 0.22/0.52 inference(and_elim,[status(thm)],[21])).
% 0.22/0.52 tff(78,plain,
% 0.22/0.52 (^[X: $i, T: $i] : refl(((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(79,plain,
% 0.22/0.52 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[78])).
% 0.22/0.52 tff(80,plain,
% 0.22/0.52 (^[X: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((organization(X) & (~has_endowment(X))) <=> (~(has_endowment(X) | (~organization(X))))), ((~(organization(X) & (~has_endowment(X)))) <=> (~(~(has_endowment(X) | (~organization(X))))))), rewrite((~(~(has_endowment(X) | (~organization(X))))) <=> (has_endowment(X) | (~organization(X)))), ((~(organization(X) & (~has_endowment(X)))) <=> (has_endowment(X) | (~organization(X))))), (((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ((~has_immunity(X, T)) | (has_endowment(X) | (~organization(X)))))), rewrite(((~has_immunity(X, T)) | (has_endowment(X) | (~organization(X)))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))), (((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(81,plain,
% 0.22/0.52 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[80])).
% 0.22/0.52 tff(82,plain,
% 0.22/0.52 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(83,plain,
% 0.22/0.52 (^[X: $i, T: $i] : rewrite(((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T))) <=> ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X))))))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(84,plain,
% 0.22/0.52 (![X: $i, T: $i] : ((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T))) <=> ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[83])).
% 0.22/0.52 tff(85,axiom,(![X: $i, T: $i] : ((organization(X) & (~has_endowment(X))) => (~has_immunity(X, T)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_1')).
% 0.22/0.52 tff(86,plain,
% 0.22/0.52 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.22/0.52 tff(87,plain,
% 0.22/0.52 (![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[86, 82])).
% 0.22/0.52 tff(88,plain,(
% 0.22/0.52 ![X: $i, T: $i] : ((~has_immunity(X, T)) | (~(organization(X) & (~has_endowment(X)))))),
% 0.22/0.52 inference(skolemize,[status(sab)],[87])).
% 0.22/0.52 tff(89,plain,
% 0.22/0.52 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[88, 81])).
% 0.22/0.52 tff(90,plain,
% 0.22/0.52 (![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[89, 79])).
% 0.22/0.52 tff(91,plain,
% 0.22/0.52 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T3!2)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T3!2)))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(92,plain,
% 0.22/0.52 (((~has_immunity(X!6, T3!2)) | has_endowment(X!6) | (~organization(X!6))) <=> (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T3!2)))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(93,plain,
% 0.22/0.52 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T3!2)) | has_endowment(X!6) | (~organization(X!6)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T3!2))))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[92])).
% 0.22/0.52 tff(94,plain,
% 0.22/0.52 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T3!2)) | has_endowment(X!6) | (~organization(X!6)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T3!2)))),
% 0.22/0.52 inference(transitivity,[status(thm)],[93, 91])).
% 0.22/0.52 tff(95,plain,
% 0.22/0.52 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T3!2)) | has_endowment(X!6) | (~organization(X!6)))),
% 0.22/0.52 inference(quant_inst,[status(thm)],[])).
% 0.22/0.52 tff(96,plain,
% 0.22/0.52 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T3!2))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.22/0.52 tff(97,plain,
% 0.22/0.52 ($false),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[96, 90, 23, 77, 76])).
% 0.22/0.52 tff(98,plain,(~has_immunity(X!6, T3!2)), inference(lemma,lemma(discharge,[]))).
% 0.22/0.52 tff(99,plain,
% 0.22/0.52 (^[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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high)))))))))))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(100,plain,
% 0.22/0.52 (![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[99])).
% 0.22/0.52 tff(101,plain,
% 0.22/0.52 (^[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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high)))))))))))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(102,plain,
% 0.22/0.52 (![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[101])).
% 0.22/0.52 tff(103,plain,
% 0.22/0.52 (![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))))))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(104,plain,
% 0.22/0.52 (^[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))))))))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(105,plain,
% 0.22/0.52 (![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))))))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[104])).
% 0.22/0.52 tff(106,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/sandbox2/benchmark/theBenchmark.p','assumption_17')).
% 0.22/0.52 tff(107,plain,
% 0.22/0.52 (![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))))))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.22/0.52 tff(108,plain,
% 0.22/0.52 (![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))))))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[107, 103])).
% 0.22/0.52 tff(109,plain,(
% 0.22/0.52 ![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))))))),
% 0.22/0.52 inference(skolemize,[status(sab)],[108])).
% 0.22/0.52 tff(110,plain,
% 0.22/0.52 (![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[109, 102])).
% 0.22/0.53 tff(111,plain,
% 0.22/0.53 (![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[110, 100])).
% 0.22/0.53 tff(112,plain,
% 0.22/0.53 (((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))))))))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(113,plain,
% 0.22/0.53 (((~organization(X!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(positional_advantage(X!6, T3!2) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))))))))) <=> ((~organization(X!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))))))))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(114,plain,
% 0.22/0.53 (((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(positional_advantage(X!6, T3!2) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))))))))))),
% 0.22/0.53 inference(monotonicity,[status(thm)],[113])).
% 0.22/0.53 tff(115,plain,
% 0.22/0.53 (((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(positional_advantage(X!6, T3!2) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))))))))),
% 0.22/0.53 inference(transitivity,[status(thm)],[114, 112])).
% 0.22/0.53 tff(116,plain,
% 0.22/0.53 ((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(positional_advantage(X!6, T3!2) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))))))))),
% 0.22/0.53 inference(quant_inst,[status(thm)],[])).
% 0.22/0.53 tff(117,plain,
% 0.22/0.53 ((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!6)) | (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))))))))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.22/0.53 tff(118,plain,
% 0.22/0.53 (~((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))))))),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[117, 111, 23])).
% 0.22/0.53 tff(119,plain,
% 0.22/0.53 (((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))))))) | (has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))))),
% 0.22/0.53 inference(tautology,[status(thm)],[])).
% 0.22/0.53 tff(120,plain,
% 0.22/0.53 (has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))))),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[119, 118])).
% 0.22/0.53 tff(121,plain,
% 0.22/0.53 ((~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))))) | has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))))),
% 0.22/0.53 inference(tautology,[status(thm)],[])).
% 0.22/0.53 tff(122,plain,
% 0.22/0.53 (has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))))),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[121, 120])).
% 0.22/0.53 tff(123,plain,
% 0.22/0.53 (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[122, 98])).
% 0.22/0.53 tff(124,plain,
% 0.22/0.53 (((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))) | ((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))),
% 0.22/0.53 inference(tautology,[status(thm)],[])).
% 0.22/0.53 tff(125,plain,
% 0.22/0.53 ((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1)),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[124, 123])).
% 0.22/0.53 tff(126,plain,
% 0.22/0.53 (^[X: $i] : rewrite((~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))) <=> (~((~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))) | (~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))))))),
% 0.22/0.53 inference(bind,[status(th)],[])).
% 0.22/0.53 tff(127,plain,
% 0.22/0.53 (![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))) <=> ![X: $i] : (~((~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))) | (~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T)))))))))),
% 0.22/0.53 inference(quant_intro,[status(thm)],[126])).
% 0.22/0.53 tff(128,plain,
% 0.22/0.53 (^[X: $i] : refl((~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))) <=> (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))))),
% 0.22/0.53 inference(bind,[status(th)],[])).
% 0.22/0.53 tff(129,plain,
% 0.22/0.53 (![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))) <=> ![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))),
% 0.22/0.53 inference(quant_intro,[status(thm)],[128])).
% 0.22/0.53 tff(130,plain,
% 0.22/0.53 (^[X: $i] : rewrite((~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))) <=> (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))))),
% 0.22/0.53 inference(bind,[status(th)],[])).
% 0.22/0.53 tff(131,plain,
% 0.22/0.53 (![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))) <=> ![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))),
% 0.22/0.53 inference(quant_intro,[status(thm)],[130])).
% 0.22/0.53 tff(132,plain,
% 0.22/0.53 (![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))) <=> ![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))),
% 0.22/0.53 inference(transitivity,[status(thm)],[131, 129])).
% 0.22/0.53 tff(133,plain,
% 0.22/0.53 (^[X: $i] : trans(monotonicity(rewrite(((~robust_position(X)) | ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T)))) <=> ((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))), trans(monotonicity(trans(monotonicity(rewrite((((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))) <=> (~((~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))), ((~(((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))) <=> (~(~((~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))), rewrite((~(~((~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))) <=> ((~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))), ((~(((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))) <=> ((~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))), ((robust_position(X) | (~(((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))) <=> (robust_position(X) | ((~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))), rewrite((robust_position(X) | ((~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))) <=> (robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))), ((robust_position(X) | (~(((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))) <=> (robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))), ((((~robust_position(X)) | ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T)))) & (robust_position(X) | (~(((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))) <=> (((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T)))))) & (robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))), rewrite((((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T)))))) & (robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))) <=> (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))), ((((~robust_position(X)) | ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T)))) & (robust_position(X) | (~(((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))) <=> (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))))),
% 0.22/0.53 inference(bind,[status(th)],[])).
% 0.22/0.53 tff(134,plain,
% 0.22/0.53 (![X: $i] : (((~robust_position(X)) | ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T)))) & (robust_position(X) | (~(((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))) <=> ![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))),
% 0.22/0.53 inference(quant_intro,[status(thm)],[133])).
% 0.22/0.53 tff(135,plain,
% 0.22/0.53 (![X: $i] : (robust_position(X) <=> ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T)))) <=> ![X: $i] : (robust_position(X) <=> ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T))))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(136,plain,
% 0.22/0.53 (^[X: $i] : rewrite((robust_position(X) <=> ![T: $i] : ((smaller_or_equal(age(X, T), tau) => (~positional_advantage(X, T))) & (greater(age(X, T), tau) => positional_advantage(X, T)))) <=> (robust_position(X) <=> ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T)))))),
% 0.22/0.53 inference(bind,[status(th)],[])).
% 0.22/0.53 tff(137,plain,
% 0.22/0.53 (![X: $i] : (robust_position(X) <=> ![T: $i] : ((smaller_or_equal(age(X, T), tau) => (~positional_advantage(X, T))) & (greater(age(X, T), tau) => positional_advantage(X, T)))) <=> ![X: $i] : (robust_position(X) <=> ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T))))),
% 0.22/0.53 inference(quant_intro,[status(thm)],[136])).
% 0.22/0.53 tff(138,axiom,(![X: $i] : (robust_position(X) <=> ![T: $i] : ((smaller_or_equal(age(X, T), tau) => (~positional_advantage(X, T))) & (greater(age(X, T), tau) => positional_advantage(X, T))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','definition_4')).
% 0.22/0.53 tff(139,plain,
% 0.22/0.53 (![X: $i] : (robust_position(X) <=> ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T))))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.22/0.53 tff(140,plain,
% 0.22/0.53 (![X: $i] : (robust_position(X) <=> ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T))))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[139, 135])).
% 0.22/0.53 tff(141,plain,(
% 0.22/0.53 ![X: $i] : (((~robust_position(X)) | ![T: $i] : (((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau))) & ((~greater(age(X, T), tau)) | positional_advantage(X, T)))) & (robust_position(X) | (~(((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau))) & ((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))))),
% 0.22/0.53 inference(skolemize,[status(sab)],[140])).
% 0.22/0.53 tff(142,plain,
% 0.22/0.53 (![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[141, 134])).
% 0.22/0.53 tff(143,plain,
% 0.22/0.53 (![X: $i] : (~((~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T))))))) | (~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X))))))))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[142, 132])).
% 0.22/0.53 tff(144,plain,
% 0.22/0.53 (![X: $i] : (~((~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))) | (~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T)))))))))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[143, 127])).
% 0.22/0.53 tff(145,plain,
% 0.22/0.53 ((~![X: $i] : (~((~(robust_position(X) | (~((~positional_advantage(X, tptp_fun_T_1(X))) | (~smaller_or_equal(age(X, tptp_fun_T_1(X)), tau)))) | (~((~greater(age(X, tptp_fun_T_1(X)), tau)) | positional_advantage(X, tptp_fun_T_1(X)))))) | (~((~robust_position(X)) | ![T: $i] : (~((~((~positional_advantage(X, T)) | (~smaller_or_equal(age(X, T), tau)))) | (~((~greater(age(X, T), tau)) | positional_advantage(X, T)))))))))) | (~((~(robust_position(X!6) | (~((~positional_advantage(X!6, tptp_fun_T_1(X!6))) | (~smaller_or_equal(age(X!6, tptp_fun_T_1(X!6)), tau)))) | (~((~greater(age(X!6, tptp_fun_T_1(X!6)), tau)) | positional_advantage(X!6, tptp_fun_T_1(X!6)))))) | (~((~robust_position(X!6)) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))))))),
% 0.22/0.53 inference(quant_inst,[status(thm)],[])).
% 0.22/0.53 tff(146,plain,
% 0.22/0.53 (~((~(robust_position(X!6) | (~((~positional_advantage(X!6, tptp_fun_T_1(X!6))) | (~smaller_or_equal(age(X!6, tptp_fun_T_1(X!6)), tau)))) | (~((~greater(age(X!6, tptp_fun_T_1(X!6)), tau)) | positional_advantage(X!6, tptp_fun_T_1(X!6)))))) | (~((~robust_position(X!6)) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T))))))))),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[145, 144])).
% 0.22/0.53 tff(147,plain,
% 0.22/0.53 (((~(robust_position(X!6) | (~((~positional_advantage(X!6, tptp_fun_T_1(X!6))) | (~smaller_or_equal(age(X!6, tptp_fun_T_1(X!6)), tau)))) | (~((~greater(age(X!6, tptp_fun_T_1(X!6)), tau)) | positional_advantage(X!6, tptp_fun_T_1(X!6)))))) | (~((~robust_position(X!6)) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))))) | ((~robust_position(X!6)) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T))))))),
% 0.22/0.53 inference(tautology,[status(thm)],[])).
% 0.22/0.53 tff(148,plain,
% 0.22/0.53 ((~robust_position(X!6)) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[147, 146])).
% 0.22/0.53 tff(149,plain,
% 0.22/0.53 (robust_position(X!6)),
% 0.22/0.53 inference(and_elim,[status(thm)],[21])).
% 0.22/0.53 tff(150,plain,
% 0.22/0.53 ((~((~robust_position(X!6)) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T))))))) | (~robust_position(X!6)) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))),
% 0.22/0.53 inference(tautology,[status(thm)],[])).
% 0.22/0.53 tff(151,plain,
% 0.22/0.53 ((~((~robust_position(X!6)) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T))))))) | ![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[150, 149])).
% 0.22/0.53 tff(152,plain,
% 0.22/0.53 (![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[151, 148])).
% 0.22/0.53 tff(153,plain,
% 0.22/0.53 ((~![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))) | (~((~((~positional_advantage(X!6, T3!2)) | (~smaller_or_equal(age(X!6, T3!2), tau)))) | (~((~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2)))))),
% 0.22/0.53 inference(quant_inst,[status(thm)],[])).
% 0.22/0.53 tff(154,plain,
% 0.22/0.53 (~((~((~positional_advantage(X!6, T3!2)) | (~smaller_or_equal(age(X!6, T3!2), tau)))) | (~((~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2))))),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[153, 152])).
% 0.22/0.53 tff(155,plain,
% 0.22/0.53 (((~((~positional_advantage(X!6, T3!2)) | (~smaller_or_equal(age(X!6, T3!2), tau)))) | (~((~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2)))) | ((~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2))),
% 0.22/0.53 inference(tautology,[status(thm)],[])).
% 0.22/0.53 tff(156,plain,
% 0.22/0.53 ((~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2)),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[155, 154])).
% 0.22/0.53 tff(157,plain,
% 0.22/0.53 (greater(sigma, tau)),
% 0.22/0.53 inference(and_elim,[status(thm)],[21])).
% 0.22/0.53 tff(158,plain,
% 0.22/0.53 (![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)))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(159,plain,
% 0.22/0.53 (^[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)))))),
% 0.22/0.53 inference(bind,[status(th)],[])).
% 0.22/0.53 tff(160,plain,
% 0.22/0.53 (![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)))),
% 0.22/0.53 inference(quant_intro,[status(thm)],[159])).
% 0.22/0.53 tff(161,plain,
% 0.22/0.53 (![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))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(162,plain,
% 0.22/0.53 (^[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)))),
% 0.22/0.53 inference(bind,[status(th)],[])).
% 0.22/0.53 tff(163,plain,
% 0.22/0.53 (![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))),
% 0.22/0.53 inference(quant_intro,[status(thm)],[162])).
% 0.22/0.53 tff(164,axiom,(![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_transitive')).
% 0.22/0.53 tff(165,plain,
% 0.22/0.53 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[164, 163])).
% 0.22/0.53 tff(166,plain,
% 0.22/0.53 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[165, 161])).
% 0.22/0.53 tff(167,plain,(
% 0.22/0.53 ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.22/0.53 inference(skolemize,[status(sab)],[166])).
% 0.22/0.53 tff(168,plain,
% 0.22/0.53 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[167, 160])).
% 0.22/0.54 tff(169,plain,
% 0.22/0.54 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[168, 158])).
% 0.22/0.54 tff(170,plain,
% 0.22/0.54 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(sigma, tau)) | (~greater(age(X!6, T3!2), sigma)) | greater(age(X!6, T3!2), tau))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(sigma, tau)) | (~greater(age(X!6, T3!2), sigma)) | greater(age(X!6, T3!2), tau))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(171,plain,
% 0.22/0.54 ((greater(age(X!6, T3!2), tau) | (~greater(sigma, tau)) | (~greater(age(X!6, T3!2), sigma))) <=> ((~greater(sigma, tau)) | (~greater(age(X!6, T3!2), sigma)) | greater(age(X!6, T3!2), tau))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(172,plain,
% 0.22/0.54 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!6, T3!2), tau) | (~greater(sigma, tau)) | (~greater(age(X!6, T3!2), sigma)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(sigma, tau)) | (~greater(age(X!6, T3!2), sigma)) | greater(age(X!6, T3!2), tau)))),
% 0.22/0.54 inference(monotonicity,[status(thm)],[171])).
% 0.22/0.54 tff(173,plain,
% 0.22/0.54 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!6, T3!2), tau) | (~greater(sigma, tau)) | (~greater(age(X!6, T3!2), sigma)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(sigma, tau)) | (~greater(age(X!6, T3!2), sigma)) | greater(age(X!6, T3!2), tau))),
% 0.22/0.54 inference(transitivity,[status(thm)],[172, 170])).
% 0.22/0.54 tff(174,plain,
% 0.22/0.54 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!6, T3!2), tau) | (~greater(sigma, tau)) | (~greater(age(X!6, T3!2), sigma)))),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(175,plain,
% 0.22/0.54 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(sigma, tau)) | (~greater(age(X!6, T3!2), sigma)) | greater(age(X!6, T3!2), tau)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[174, 173])).
% 0.22/0.54 tff(176,plain,
% 0.22/0.54 (greater(age(X!6, T3!2), tau)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[175, 169, 157, 44])).
% 0.22/0.54 tff(177,plain,
% 0.22/0.54 ((~((~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2))) | (~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2)),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(178,plain,
% 0.22/0.54 ((~((~greater(age(X!6, T3!2), tau)) | positional_advantage(X!6, T3!2))) | positional_advantage(X!6, T3!2)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[177, 176])).
% 0.22/0.54 tff(179,plain,
% 0.22/0.54 (positional_advantage(X!6, T3!2)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[178, 156])).
% 0.22/0.54 tff(180,plain,
% 0.22/0.54 ((~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1)),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(181,plain,
% 0.22/0.54 ((~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[180, 179])).
% 0.22/0.54 tff(182,plain,
% 0.22/0.54 (is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[181, 125])).
% 0.22/0.54 tff(183,plain,
% 0.22/0.54 (hazard_of_mortality(X!6, T3!2) = mod1),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[182, 75])).
% 0.22/0.54 tff(184,assumption,(hazard_of_mortality(X!6, T2!3) = very_low), introduced(assumption)).
% 0.22/0.54 tff(185,plain,
% 0.22/0.54 (smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2)) <=> smaller(very_low, mod1)),
% 0.22/0.54 inference(monotonicity,[status(thm)],[184, 183])).
% 0.22/0.54 tff(186,plain,
% 0.22/0.54 (smaller(very_low, mod1) <=> smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2))),
% 0.22/0.54 inference(symmetry,[status(thm)],[185])).
% 0.22/0.54 tff(187,plain,
% 0.22/0.54 (^[X: $i, Y: $i] : refl((smaller(X, Y) <=> greater(Y, X)) <=> (smaller(X, Y) <=> greater(Y, X)))),
% 0.22/0.54 inference(bind,[status(th)],[])).
% 0.22/0.54 tff(188,plain,
% 0.22/0.54 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.22/0.54 inference(quant_intro,[status(thm)],[187])).
% 0.22/0.54 tff(189,plain,
% 0.22/0.54 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X)) <=> ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(190,axiom,(![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','definition_smaller')).
% 0.22/0.54 tff(191,plain,
% 0.22/0.54 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[190, 189])).
% 0.22/0.54 tff(192,plain,(
% 0.22/0.54 ![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.22/0.54 inference(skolemize,[status(sab)],[191])).
% 0.22/0.54 tff(193,plain,
% 0.22/0.54 (![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[192, 188])).
% 0.22/0.54 tff(194,plain,
% 0.22/0.54 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(very_low, mod1) <=> greater(mod1, very_low))),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(195,plain,
% 0.22/0.54 (smaller(very_low, mod1) <=> greater(mod1, very_low)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[194, 193])).
% 0.22/0.54 tff(196,plain,
% 0.22/0.54 (greater(low, very_low) <=> greater(low, very_low)),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(197,axiom,(greater(low, very_low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18c')).
% 0.22/0.54 tff(198,plain,
% 0.22/0.54 (greater(low, very_low)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[197, 196])).
% 0.22/0.54 tff(199,plain,
% 0.22/0.54 (greater(mod1, low) <=> greater(mod1, low)),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(200,axiom,(greater(mod1, low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18b')).
% 0.22/0.54 tff(201,plain,
% 0.22/0.54 (greater(mod1, low)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[200, 199])).
% 0.22/0.54 tff(202,plain,
% 0.22/0.54 (((~![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)))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(203,plain,
% 0.22/0.54 ((greater(mod1, very_low) | (~greater(low, very_low)) | (~greater(mod1, low))) <=> ((~greater(mod1, low)) | greater(mod1, very_low) | (~greater(low, very_low)))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(204,plain,
% 0.22/0.54 (((~![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))))),
% 0.22/0.54 inference(monotonicity,[status(thm)],[203])).
% 0.22/0.54 tff(205,plain,
% 0.22/0.54 (((~![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)))),
% 0.22/0.54 inference(transitivity,[status(thm)],[204, 202])).
% 0.22/0.54 tff(206,plain,
% 0.22/0.54 ((~![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)))),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(207,plain,
% 0.22/0.54 ((~![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))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[206, 205])).
% 0.22/0.54 tff(208,plain,
% 0.22/0.54 (greater(mod1, very_low)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[207, 169, 201, 198])).
% 0.22/0.54 tff(209,plain,
% 0.22/0.54 ((~(smaller(very_low, mod1) <=> greater(mod1, very_low))) | smaller(very_low, mod1) | (~greater(mod1, very_low))),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(210,plain,
% 0.22/0.54 ((~(smaller(very_low, mod1) <=> greater(mod1, very_low))) | smaller(very_low, mod1)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[209, 208])).
% 0.22/0.54 tff(211,plain,
% 0.22/0.54 (smaller(very_low, mod1)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[210, 195])).
% 0.22/0.54 tff(212,plain,
% 0.22/0.54 (smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[211, 186])).
% 0.22/0.54 tff(213,plain,
% 0.22/0.54 ((~![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))) | (~(((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))) <=> dissimilar(X!6, T0!5, T1!4)))),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(214,plain,
% 0.22/0.54 (~(((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))) <=> dissimilar(X!6, T0!5, T1!4))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[213, 10])).
% 0.22/0.54 tff(215,plain,
% 0.22/0.54 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(216,plain,
% 0.22/0.54 (((greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero))) <=> ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(217,plain,
% 0.22/0.54 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4))))),
% 0.22/0.54 inference(monotonicity,[status(thm)],[216])).
% 0.22/0.54 tff(218,plain,
% 0.22/0.54 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)))),
% 0.22/0.54 inference(transitivity,[status(thm)],[217, 215])).
% 0.22/0.54 tff(219,plain,
% 0.22/0.54 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(220,plain,
% 0.22/0.54 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[219, 218])).
% 0.22/0.54 tff(221,plain,
% 0.22/0.54 (greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[220, 36, 23, 22])).
% 0.22/0.54 tff(222,plain,
% 0.22/0.54 ((~![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))) | (~((~((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau)))) | (~((~greater(age(X!6, T1!4), tau)) | positional_advantage(X!6, T1!4)))))),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(223,plain,
% 0.22/0.54 (~((~((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau)))) | (~((~greater(age(X!6, T1!4), tau)) | positional_advantage(X!6, T1!4))))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[222, 152])).
% 0.22/0.54 tff(224,plain,
% 0.22/0.54 (((~((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau)))) | (~((~greater(age(X!6, T1!4), tau)) | positional_advantage(X!6, T1!4)))) | ((~greater(age(X!6, T1!4), tau)) | positional_advantage(X!6, T1!4))),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(225,plain,
% 0.22/0.54 ((~greater(age(X!6, T1!4), tau)) | positional_advantage(X!6, T1!4)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[224, 223])).
% 0.22/0.54 tff(226,plain,
% 0.22/0.54 (((~((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau)))) | (~((~greater(age(X!6, T1!4), tau)) | positional_advantage(X!6, T1!4)))) | ((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau)))),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(227,plain,
% 0.22/0.54 ((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[226, 223])).
% 0.22/0.54 tff(228,plain,
% 0.22/0.54 (smaller_or_equal(age(X!6, T1!4), tau)),
% 0.22/0.54 inference(and_elim,[status(thm)],[21])).
% 0.22/0.54 tff(229,plain,
% 0.22/0.54 ((~((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau)))) | (~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau))),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(230,plain,
% 0.22/0.54 ((~((~positional_advantage(X!6, T1!4)) | (~smaller_or_equal(age(X!6, T1!4), tau)))) | (~positional_advantage(X!6, T1!4))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[229, 228])).
% 0.22/0.54 tff(231,plain,
% 0.22/0.54 (~positional_advantage(X!6, T1!4)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[230, 227])).
% 0.22/0.54 tff(232,plain,
% 0.22/0.54 ((~((~greater(age(X!6, T1!4), tau)) | positional_advantage(X!6, T1!4))) | (~greater(age(X!6, T1!4), tau)) | positional_advantage(X!6, T1!4)),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(233,plain,
% 0.22/0.54 (~greater(age(X!6, T1!4), tau)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[232, 231, 225])).
% 0.22/0.54 tff(234,plain,
% 0.22/0.54 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(sigma, tau)) | greater(age(X!6, T1!4), tau) | (~greater(age(X!6, T1!4), sigma)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(sigma, tau)) | greater(age(X!6, T1!4), tau) | (~greater(age(X!6, T1!4), sigma)))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(235,plain,
% 0.22/0.54 ((greater(age(X!6, T1!4), tau) | (~greater(sigma, tau)) | (~greater(age(X!6, T1!4), sigma))) <=> ((~greater(sigma, tau)) | greater(age(X!6, T1!4), tau) | (~greater(age(X!6, T1!4), sigma)))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(236,plain,
% 0.22/0.54 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!6, T1!4), tau) | (~greater(sigma, tau)) | (~greater(age(X!6, T1!4), sigma)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(sigma, tau)) | greater(age(X!6, T1!4), tau) | (~greater(age(X!6, T1!4), sigma))))),
% 0.22/0.54 inference(monotonicity,[status(thm)],[235])).
% 0.22/0.54 tff(237,plain,
% 0.22/0.54 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!6, T1!4), tau) | (~greater(sigma, tau)) | (~greater(age(X!6, T1!4), sigma)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(sigma, tau)) | greater(age(X!6, T1!4), tau) | (~greater(age(X!6, T1!4), sigma)))),
% 0.22/0.54 inference(transitivity,[status(thm)],[236, 234])).
% 0.22/0.54 tff(238,plain,
% 0.22/0.54 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(age(X!6, T1!4), tau) | (~greater(sigma, tau)) | (~greater(age(X!6, T1!4), sigma)))),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(239,plain,
% 0.22/0.54 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(sigma, tau)) | greater(age(X!6, T1!4), tau) | (~greater(age(X!6, T1!4), sigma))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[238, 237])).
% 0.22/0.54 tff(240,plain,
% 0.22/0.54 (~greater(age(X!6, T1!4), sigma)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[239, 169, 157, 233])).
% 0.22/0.54 tff(241,plain,
% 0.22/0.54 ((~(greater(age(X!6, T1!4), sigma) <=> dissimilar(X!6, T0!5, T1!4))) | greater(age(X!6, T1!4), sigma) | (~dissimilar(X!6, T0!5, T1!4))),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(242,plain,
% 0.22/0.54 (~dissimilar(X!6, T0!5, T1!4)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[241, 240, 221])).
% 0.22/0.54 tff(243,plain,
% 0.22/0.54 ((((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))) <=> dissimilar(X!6, T0!5, T1!4)) | ((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))) | dissimilar(X!6, T0!5, T1!4)),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(244,plain,
% 0.22/0.54 ((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[243, 242, 214])).
% 0.22/0.54 tff(245,plain,
% 0.22/0.54 ((~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4)))) | (~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(246,plain,
% 0.22/0.54 ((~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4)))) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[245, 23])).
% 0.22/0.54 tff(247,plain,
% 0.22/0.54 (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[246, 244])).
% 0.22/0.54 tff(248,plain,
% 0.22/0.54 ((~(is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))) | (~is_aligned(X!6, T0!5)) | is_aligned(X!6, T1!4)),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(249,plain,
% 0.22/0.54 ((~(is_aligned(X!6, T0!5) <=> is_aligned(X!6, T1!4))) | is_aligned(X!6, T1!4)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[248, 72])).
% 0.22/0.54 tff(250,plain,
% 0.22/0.54 (is_aligned(X!6, T1!4)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[249, 247])).
% 0.22/0.54 tff(251,assumption,(has_immunity(X!6, T1!4)), introduced(assumption)).
% 0.22/0.54 tff(252,plain,
% 0.22/0.54 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T1!4)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T1!4)))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(253,plain,
% 0.22/0.54 (((~has_immunity(X!6, T1!4)) | has_endowment(X!6) | (~organization(X!6))) <=> (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T1!4)))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(254,plain,
% 0.22/0.54 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T1!4)) | has_endowment(X!6) | (~organization(X!6)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T1!4))))),
% 0.22/0.54 inference(monotonicity,[status(thm)],[253])).
% 0.22/0.54 tff(255,plain,
% 0.22/0.54 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T1!4)) | has_endowment(X!6) | (~organization(X!6)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T1!4)))),
% 0.22/0.54 inference(transitivity,[status(thm)],[254, 252])).
% 0.22/0.54 tff(256,plain,
% 0.22/0.54 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T1!4)) | has_endowment(X!6) | (~organization(X!6)))),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(257,plain,
% 0.22/0.54 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T1!4))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.22/0.54 tff(258,plain,
% 0.22/0.54 ($false),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[257, 90, 23, 77, 251])).
% 0.22/0.54 tff(259,plain,(~has_immunity(X!6, T1!4)), inference(lemma,lemma(discharge,[]))).
% 0.22/0.54 tff(260,plain,
% 0.22/0.54 (((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = 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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))))))))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(261,plain,
% 0.22/0.54 (((~organization(X!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(positional_advantage(X!6, T1!4) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))))))))) <=> ((~organization(X!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))))))))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(262,plain,
% 0.22/0.54 (((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(positional_advantage(X!6, T1!4) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = 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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))))))))))),
% 0.22/0.54 inference(monotonicity,[status(thm)],[261])).
% 0.22/0.54 tff(263,plain,
% 0.22/0.54 (((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(positional_advantage(X!6, T1!4) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = 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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))))))))),
% 0.22/0.54 inference(transitivity,[status(thm)],[262, 260])).
% 0.22/0.54 tff(264,plain,
% 0.22/0.54 ((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(positional_advantage(X!6, T1!4) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))))))))),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(265,plain,
% 0.22/0.54 ((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!6)) | (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))))))))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[264, 263])).
% 0.22/0.54 tff(266,plain,
% 0.22/0.54 (~((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))))))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[265, 111, 23])).
% 0.22/0.54 tff(267,plain,
% 0.22/0.54 (((~((~has_immunity(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = very_low))) | (~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))))))) | (has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))))),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(268,plain,
% 0.22/0.54 (has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[267, 266])).
% 0.22/0.55 tff(269,plain,
% 0.22/0.55 ((~(has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))))) | has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))))),
% 0.22/0.55 inference(tautology,[status(thm)],[])).
% 0.22/0.55 tff(270,plain,
% 0.22/0.55 (has_immunity(X!6, T1!4) | (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[269, 268])).
% 0.22/0.55 tff(271,plain,
% 0.22/0.55 (~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[270, 259])).
% 0.22/0.55 tff(272,plain,
% 0.22/0.55 (((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))) | (positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))),
% 0.22/0.55 inference(tautology,[status(thm)],[])).
% 0.22/0.55 tff(273,plain,
% 0.22/0.55 (positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2)),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[272, 271])).
% 0.22/0.55 tff(274,plain,
% 0.22/0.55 ((~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2)),
% 0.22/0.55 inference(tautology,[status(thm)],[])).
% 0.22/0.55 tff(275,plain,
% 0.22/0.55 ((~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2)),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[274, 231])).
% 0.22/0.55 tff(276,plain,
% 0.22/0.55 ((~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2)),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[275, 273])).
% 0.22/0.55 tff(277,plain,
% 0.22/0.55 (hazard_of_mortality(X!6, T1!4) = mod2),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[276, 250])).
% 0.22/0.55 tff(278,assumption,(has_immunity(X!6, T0!5)), introduced(assumption)).
% 0.22/0.55 tff(279,plain,
% 0.22/0.55 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T0!5)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T0!5)))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(280,plain,
% 0.22/0.55 (((~has_immunity(X!6, T0!5)) | has_endowment(X!6) | (~organization(X!6))) <=> (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T0!5)))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(281,plain,
% 0.22/0.55 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T0!5)) | has_endowment(X!6) | (~organization(X!6)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | (has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T0!5))))),
% 0.22/0.55 inference(monotonicity,[status(thm)],[280])).
% 0.22/0.55 tff(282,plain,
% 0.22/0.55 (((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T0!5)) | has_endowment(X!6) | (~organization(X!6)))) <=> ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T0!5)))),
% 0.22/0.55 inference(transitivity,[status(thm)],[281, 279])).
% 0.22/0.55 tff(283,plain,
% 0.22/0.55 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | ((~has_immunity(X!6, T0!5)) | has_endowment(X!6) | (~organization(X!6)))),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(284,plain,
% 0.22/0.55 ((~![X: $i, T: $i] : ((~has_immunity(X, T)) | has_endowment(X) | (~organization(X)))) | has_endowment(X!6) | (~organization(X!6)) | (~has_immunity(X!6, T0!5))),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[283, 282])).
% 0.22/0.55 tff(285,plain,
% 0.22/0.55 ($false),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[284, 90, 23, 77, 278])).
% 0.22/0.55 tff(286,plain,(~has_immunity(X!6, T0!5)), inference(lemma,lemma(discharge,[]))).
% 0.22/0.55 tff(287,plain,
% 0.22/0.55 (((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = 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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high))))))))))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(288,plain,
% 0.22/0.55 (((~organization(X!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(positional_advantage(X!6, T0!5) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high)))))))))) <=> ((~organization(X!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high))))))))))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(289,plain,
% 0.22/0.55 (((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(positional_advantage(X!6, T0!5) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = 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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high)))))))))))),
% 0.22/0.55 inference(monotonicity,[status(thm)],[288])).
% 0.22/0.55 tff(290,plain,
% 0.22/0.55 (((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(positional_advantage(X!6, T0!5) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = 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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high))))))))))),
% 0.22/0.55 inference(transitivity,[status(thm)],[289, 287])).
% 0.22/0.55 tff(291,plain,
% 0.22/0.55 ((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(positional_advantage(X!6, T0!5) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high))))))))))),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(292,plain,
% 0.22/0.55 ((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!6)) | (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high)))))))))),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[291, 290])).
% 0.22/0.55 tff(293,plain,
% 0.22/0.55 (~((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high))))))))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[292, 111, 23])).
% 0.22/0.55 tff(294,plain,
% 0.22/0.55 (((~((~has_immunity(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = very_low))) | (~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high)))))))) | (has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high))))))),
% 0.22/0.55 inference(tautology,[status(thm)],[])).
% 0.22/0.55 tff(295,plain,
% 0.22/0.55 (has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high)))))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[294, 293])).
% 0.22/0.55 tff(296,plain,
% 0.22/0.55 ((~(has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high))))))) | has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high)))))),
% 0.22/0.55 inference(tautology,[status(thm)],[])).
% 0.22/0.55 tff(297,plain,
% 0.22/0.55 (has_immunity(X!6, T0!5) | (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high)))))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[296, 295])).
% 0.22/0.55 tff(298,plain,
% 0.22/0.55 (~((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high))))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[297, 286])).
% 0.22/0.55 tff(299,plain,
% 0.22/0.55 (((~((~positional_advantage(X!6, T0!5)) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = low))) | (~((~positional_advantage(X!6, T0!5)) | is_aligned(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod1))) | (~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (~(is_aligned(X!6, T0!5) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = high)))) | (positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))),
% 0.22/0.55 inference(tautology,[status(thm)],[])).
% 0.22/0.55 tff(300,plain,
% 0.22/0.55 (positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2)),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[299, 298])).
% 0.22/0.55 tff(301,plain,
% 0.22/0.55 ((~![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))) | (~((~((~positional_advantage(X!6, T0!5)) | (~smaller_or_equal(age(X!6, T0!5), tau)))) | (~((~greater(age(X!6, T0!5), tau)) | positional_advantage(X!6, T0!5)))))),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(302,plain,
% 0.22/0.55 (~((~((~positional_advantage(X!6, T0!5)) | (~smaller_or_equal(age(X!6, T0!5), tau)))) | (~((~greater(age(X!6, T0!5), tau)) | positional_advantage(X!6, T0!5))))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[301, 152])).
% 0.22/0.55 tff(303,plain,
% 0.22/0.55 (((~((~positional_advantage(X!6, T0!5)) | (~smaller_or_equal(age(X!6, T0!5), tau)))) | (~((~greater(age(X!6, T0!5), tau)) | positional_advantage(X!6, T0!5)))) | ((~positional_advantage(X!6, T0!5)) | (~smaller_or_equal(age(X!6, T0!5), tau)))),
% 0.22/0.55 inference(tautology,[status(thm)],[])).
% 0.22/0.55 tff(304,plain,
% 0.22/0.55 ((~positional_advantage(X!6, T0!5)) | (~smaller_or_equal(age(X!6, T0!5), tau))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[303, 302])).
% 0.22/0.55 tff(305,plain,
% 0.22/0.55 (smaller_or_equal(age(X!6, T0!5), tau) <=> smaller_or_equal(zero, tau)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[22])).
% 0.22/0.55 tff(306,plain,
% 0.22/0.55 (smaller_or_equal(zero, tau) <=> smaller_or_equal(age(X!6, T0!5), tau)),
% 0.22/0.55 inference(symmetry,[status(thm)],[305])).
% 0.22/0.55 tff(307,plain,
% 0.22/0.55 (^[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))))),
% 0.22/0.55 inference(bind,[status(th)],[])).
% 0.22/0.55 tff(308,plain,
% 0.22/0.55 (![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)))),
% 0.22/0.55 inference(quant_intro,[status(thm)],[307])).
% 0.22/0.55 tff(309,plain,
% 0.22/0.55 (![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)))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(310,plain,
% 0.22/0.55 (^[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))))),
% 0.22/0.55 inference(bind,[status(th)],[])).
% 0.22/0.55 tff(311,plain,
% 0.22/0.55 (![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)))),
% 0.22/0.55 inference(quant_intro,[status(thm)],[310])).
% 0.22/0.55 tff(312,axiom,(![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> (smaller(X, Y) | (X = Y)))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','definition_smaller_or_equal')).
% 0.22/0.55 tff(313,plain,
% 0.22/0.55 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[312, 311])).
% 0.22/0.55 tff(314,plain,
% 0.22/0.55 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[313, 309])).
% 0.22/0.55 tff(315,plain,(
% 0.22/0.55 ![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.22/0.55 inference(skolemize,[status(sab)],[314])).
% 0.22/0.55 tff(316,plain,
% 0.22/0.55 (![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[315, 308])).
% 0.22/0.55 tff(317,plain,
% 0.22/0.55 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(zero, tau) <=> ((zero = tau) | smaller(zero, tau)))),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(318,plain,
% 0.22/0.55 (smaller_or_equal(zero, tau) <=> ((zero = tau) | smaller(zero, tau))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[317, 316])).
% 0.22/0.55 tff(319,plain,
% 0.22/0.55 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(zero, tau) <=> greater(tau, zero))),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(320,plain,
% 0.22/0.55 (smaller(zero, tau) <=> greater(tau, zero)),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[319, 193])).
% 0.22/0.55 tff(321,plain,
% 0.22/0.55 (greater(tau, zero)),
% 0.22/0.55 inference(and_elim,[status(thm)],[21])).
% 0.22/0.55 tff(322,plain,
% 0.22/0.55 ((~(smaller(zero, tau) <=> greater(tau, zero))) | smaller(zero, tau) | (~greater(tau, zero))),
% 0.22/0.55 inference(tautology,[status(thm)],[])).
% 0.22/0.55 tff(323,plain,
% 0.22/0.55 ((~(smaller(zero, tau) <=> greater(tau, zero))) | smaller(zero, tau)),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[322, 321])).
% 0.22/0.55 tff(324,plain,
% 0.22/0.55 (smaller(zero, tau)),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[323, 320])).
% 0.22/0.55 tff(325,plain,
% 0.22/0.55 (((zero = tau) | smaller(zero, tau)) | (~smaller(zero, tau))),
% 0.22/0.55 inference(tautology,[status(thm)],[])).
% 0.22/0.55 tff(326,plain,
% 0.22/0.55 ((zero = tau) | smaller(zero, tau)),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[325, 324])).
% 0.22/0.55 tff(327,plain,
% 0.22/0.55 ((~(smaller_or_equal(zero, tau) <=> ((zero = tau) | smaller(zero, tau)))) | smaller_or_equal(zero, tau) | (~((zero = tau) | smaller(zero, tau)))),
% 0.22/0.55 inference(tautology,[status(thm)],[])).
% 0.22/0.55 tff(328,plain,
% 0.22/0.55 ((~(smaller_or_equal(zero, tau) <=> ((zero = tau) | smaller(zero, tau)))) | smaller_or_equal(zero, tau)),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[327, 326])).
% 0.22/0.55 tff(329,plain,
% 0.22/0.55 (smaller_or_equal(zero, tau)),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[328, 318])).
% 0.22/0.55 tff(330,plain,
% 0.22/0.55 (smaller_or_equal(age(X!6, T0!5), tau)),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[329, 306])).
% 0.22/0.55 tff(331,plain,
% 0.22/0.55 ((~((~positional_advantage(X!6, T0!5)) | (~smaller_or_equal(age(X!6, T0!5), tau)))) | (~positional_advantage(X!6, T0!5)) | (~smaller_or_equal(age(X!6, T0!5), tau))),
% 0.22/0.55 inference(tautology,[status(thm)],[])).
% 0.22/0.55 tff(332,plain,
% 0.22/0.55 (~positional_advantage(X!6, T0!5)),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[331, 330, 304])).
% 0.22/0.55 tff(333,plain,
% 0.22/0.55 ((~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2)),
% 0.22/0.55 inference(tautology,[status(thm)],[])).
% 0.22/0.55 tff(334,plain,
% 0.22/0.55 ((~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | positional_advantage(X!6, T0!5) | (hazard_of_mortality(X!6, T0!5) = mod2)),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[333, 72])).
% 0.22/0.55 tff(335,plain,
% 0.22/0.55 ((~(positional_advantage(X!6, T0!5) | (~is_aligned(X!6, T0!5)) | (hazard_of_mortality(X!6, T0!5) = mod2))) | (hazard_of_mortality(X!6, T0!5) = mod2)),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[334, 332])).
% 0.22/0.55 tff(336,plain,
% 0.22/0.55 (hazard_of_mortality(X!6, T0!5) = mod2),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[335, 300])).
% 0.22/0.55 tff(337,plain,
% 0.22/0.55 ((hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)) <=> (hazard_of_mortality(X!6, T1!4) = mod2)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[336])).
% 0.22/0.55 tff(338,plain,
% 0.22/0.55 ((hazard_of_mortality(X!6, T1!4) = mod2) <=> (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))),
% 0.22/0.55 inference(symmetry,[status(thm)],[337])).
% 0.22/0.55 tff(339,assumption,(hazard_of_mortality(X!6, T1!4) = mod2), introduced(assumption)).
% 0.22/0.55 tff(340,plain,
% 0.22/0.55 (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[339, 338])).
% 0.22/0.55 tff(341,assumption,(~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))), introduced(assumption)).
% 0.22/0.55 tff(342,plain,
% 0.22/0.55 ($false),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[341, 340])).
% 0.22/0.55 tff(343,plain,((~(hazard_of_mortality(X!6, T1!4) = mod2)) | (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.55 tff(344,plain,
% 0.22/0.55 (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[343, 277])).
% 0.22/0.55 tff(345,assumption,(~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))), introduced(assumption)).
% 0.22/0.55 tff(346,assumption,(hazard_of_mortality(X!6, T1!4) = high), introduced(assumption)).
% 0.22/0.55 tff(347,plain,
% 0.22/0.55 (high = hazard_of_mortality(X!6, T1!4)),
% 0.22/0.55 inference(symmetry,[status(thm)],[346])).
% 0.22/0.55 tff(348,assumption,(hazard_of_mortality(X!6, T3!2) = very_low), introduced(assumption)).
% 0.22/0.55 tff(349,plain,
% 0.22/0.55 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) <=> smaller(very_low, high)),
% 0.22/0.55 inference(monotonicity,[status(thm)],[348, 346])).
% 0.22/0.56 tff(350,plain,
% 0.22/0.56 (smaller(very_low, high) <=> smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.22/0.56 inference(symmetry,[status(thm)],[349])).
% 0.22/0.56 tff(351,plain,
% 0.22/0.56 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(very_low, high) <=> greater(high, very_low))),
% 0.22/0.56 inference(quant_inst,[status(thm)],[])).
% 0.22/0.56 tff(352,plain,
% 0.22/0.56 (smaller(very_low, high) <=> greater(high, very_low)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[351, 193])).
% 0.22/0.56 tff(353,plain,
% 0.22/0.56 (greater(high, mod1) <=> greater(high, mod1)),
% 0.22/0.56 inference(rewrite,[status(thm)],[])).
% 0.22/0.56 tff(354,axiom,(greater(high, mod1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18a')).
% 0.22/0.56 tff(355,plain,
% 0.22/0.56 (greater(high, mod1)),
% 0.22/0.56 inference(modus_ponens,[status(thm)],[354, 353])).
% 0.22/0.56 tff(356,plain,
% 0.22/0.56 (((~![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)))),
% 0.22/0.56 inference(rewrite,[status(thm)],[])).
% 0.22/0.56 tff(357,plain,
% 0.22/0.56 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1)))),
% 0.22/0.56 inference(quant_inst,[status(thm)],[])).
% 0.22/0.56 tff(358,plain,
% 0.22/0.56 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(high, low) | (~greater(mod1, low)) | (~greater(high, mod1))),
% 0.22/0.56 inference(modus_ponens,[status(thm)],[357, 356])).
% 0.22/0.56 tff(359,plain,
% 0.22/0.56 (greater(high, low)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[358, 169, 355, 201])).
% 0.22/0.56 tff(360,plain,
% 0.22/0.56 (((~![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)))),
% 0.22/0.56 inference(rewrite,[status(thm)],[])).
% 0.22/0.56 tff(361,plain,
% 0.22/0.56 ((greater(high, very_low) | (~greater(low, very_low)) | (~greater(high, low))) <=> ((~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low)))),
% 0.22/0.56 inference(rewrite,[status(thm)],[])).
% 0.22/0.56 tff(362,plain,
% 0.22/0.56 (((~![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))))),
% 0.22/0.56 inference(monotonicity,[status(thm)],[361])).
% 0.22/0.56 tff(363,plain,
% 0.22/0.56 (((~![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)))),
% 0.22/0.56 inference(transitivity,[status(thm)],[362, 360])).
% 0.22/0.56 tff(364,plain,
% 0.22/0.56 ((~![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)))),
% 0.22/0.56 inference(quant_inst,[status(thm)],[])).
% 0.22/0.56 tff(365,plain,
% 0.22/0.56 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(high, very_low) | (~greater(high, low))),
% 0.22/0.56 inference(modus_ponens,[status(thm)],[364, 363])).
% 0.22/0.56 tff(366,plain,
% 0.22/0.56 (greater(high, very_low)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[365, 169, 198, 359])).
% 0.22/0.56 tff(367,plain,
% 0.22/0.56 ((~(smaller(very_low, high) <=> greater(high, very_low))) | smaller(very_low, high) | (~greater(high, very_low))),
% 0.22/0.56 inference(tautology,[status(thm)],[])).
% 0.22/0.56 tff(368,plain,
% 0.22/0.56 ((~(smaller(very_low, high) <=> greater(high, very_low))) | smaller(very_low, high)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[367, 366])).
% 0.22/0.56 tff(369,plain,
% 0.22/0.56 (smaller(very_low, high)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[368, 352])).
% 0.22/0.56 tff(370,plain,
% 0.22/0.56 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.22/0.56 inference(modus_ponens,[status(thm)],[369, 350])).
% 0.22/0.56 tff(371,plain,
% 0.22/0.56 ($false),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[345, 370])).
% 0.22/0.56 tff(372,plain,((~(hazard_of_mortality(X!6, T3!2) = very_low)) | smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) | (~(hazard_of_mortality(X!6, T1!4) = high))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.56 tff(373,plain,
% 0.22/0.56 (~(hazard_of_mortality(X!6, T3!2) = very_low)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[372, 346, 345])).
% 0.22/0.56 tff(374,plain,
% 0.22/0.56 (((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~(has_immunity(X!6, T3!2) | (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))))))) | ((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))),
% 0.22/0.56 inference(tautology,[status(thm)],[])).
% 0.22/0.56 tff(375,plain,
% 0.22/0.56 ((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[374, 118])).
% 0.22/0.56 tff(376,plain,
% 0.22/0.56 ((~((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low))) | (~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low)),
% 0.22/0.56 inference(tautology,[status(thm)],[])).
% 0.22/0.56 tff(377,plain,
% 0.22/0.56 ((~has_immunity(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = very_low)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[376, 375])).
% 0.22/0.56 tff(378,plain,
% 0.22/0.56 (~has_immunity(X!6, T3!2)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[377, 373])).
% 0.22/0.56 tff(379,plain,
% 0.22/0.56 (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[122, 378])).
% 0.22/0.56 tff(380,plain,
% 0.22/0.56 (((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))) | ((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))),
% 0.22/0.56 inference(tautology,[status(thm)],[])).
% 0.22/0.56 tff(381,plain,
% 0.22/0.56 ((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[380, 379])).
% 0.22/0.56 tff(382,plain,
% 0.22/0.56 ((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[124, 379])).
% 0.22/0.56 tff(383,assumption,(hazard_of_mortality(X!6, T3!2) = mod1), introduced(assumption)).
% 0.22/0.56 tff(384,plain,
% 0.22/0.56 (mod1 = hazard_of_mortality(X!6, T3!2)),
% 0.22/0.56 inference(symmetry,[status(thm)],[383])).
% 0.22/0.56 tff(385,plain,
% 0.22/0.56 (smaller(mod1, high) <=> smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.22/0.56 inference(monotonicity,[status(thm)],[384, 347])).
% 0.22/0.56 tff(386,plain,
% 0.22/0.56 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) <=> smaller(mod1, high)),
% 0.22/0.56 inference(symmetry,[status(thm)],[385])).
% 0.22/0.56 tff(387,plain,
% 0.22/0.56 ((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) <=> (~smaller(mod1, high))),
% 0.22/0.56 inference(monotonicity,[status(thm)],[386])).
% 0.22/0.56 tff(388,plain,
% 0.22/0.56 (~smaller(mod1, high)),
% 0.22/0.56 inference(modus_ponens,[status(thm)],[345, 387])).
% 0.22/0.56 tff(389,plain,
% 0.22/0.56 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(mod1, high) <=> greater(high, mod1))),
% 0.22/0.56 inference(quant_inst,[status(thm)],[])).
% 0.22/0.56 tff(390,plain,
% 0.22/0.56 (smaller(mod1, high) <=> greater(high, mod1)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[389, 193])).
% 0.22/0.56 tff(391,plain,
% 0.22/0.56 ((~(smaller(mod1, high) <=> greater(high, mod1))) | smaller(mod1, high) | (~greater(high, mod1))),
% 0.22/0.56 inference(tautology,[status(thm)],[])).
% 0.22/0.56 tff(392,plain,
% 0.22/0.56 ((~(smaller(mod1, high) <=> greater(high, mod1))) | smaller(mod1, high)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[391, 355])).
% 0.22/0.56 tff(393,plain,
% 0.22/0.56 (smaller(mod1, high)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[392, 390])).
% 0.22/0.56 tff(394,plain,
% 0.22/0.56 ($false),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[393, 388])).
% 0.22/0.56 tff(395,plain,((~(hazard_of_mortality(X!6, T3!2) = mod1)) | smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) | (~(hazard_of_mortality(X!6, T1!4) = high))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.56 tff(396,plain,
% 0.22/0.56 (~(hazard_of_mortality(X!6, T3!2) = mod1)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[395, 346, 345])).
% 0.22/0.56 tff(397,plain,
% 0.22/0.56 (is_aligned(X!6, T3!2)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[181, 396, 382])).
% 0.22/0.56 tff(398,plain,
% 0.22/0.56 ((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low)),
% 0.22/0.56 inference(tautology,[status(thm)],[])).
% 0.22/0.56 tff(399,plain,
% 0.22/0.56 ((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low)),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[398, 179])).
% 0.22/0.56 tff(400,plain,
% 0.22/0.56 (hazard_of_mortality(X!6, T3!2) = low),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[399, 397, 381])).
% 0.22/0.56 tff(401,plain,
% 0.22/0.56 (low = hazard_of_mortality(X!6, T3!2)),
% 0.22/0.56 inference(symmetry,[status(thm)],[400])).
% 0.22/0.56 tff(402,plain,
% 0.22/0.56 (smaller(low, high) <=> smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.22/0.56 inference(monotonicity,[status(thm)],[401, 347])).
% 0.22/0.56 tff(403,plain,
% 0.22/0.56 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) <=> smaller(low, high)),
% 0.22/0.56 inference(symmetry,[status(thm)],[402])).
% 0.22/0.56 tff(404,plain,
% 0.22/0.56 ((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) <=> (~smaller(low, high))),
% 0.22/0.56 inference(monotonicity,[status(thm)],[403])).
% 0.22/0.56 tff(405,plain,
% 0.22/0.56 (~smaller(low, high)),
% 0.22/0.56 inference(modus_ponens,[status(thm)],[345, 404])).
% 0.22/0.56 tff(406,plain,
% 0.22/0.56 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(low, high) <=> greater(high, low))),
% 0.22/0.56 inference(quant_inst,[status(thm)],[])).
% 0.22/0.56 tff(407,plain,
% 0.22/0.56 (smaller(low, high) <=> greater(high, low)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[406, 193])).
% 0.32/0.56 tff(408,plain,
% 0.32/0.56 ((~(smaller(low, high) <=> greater(high, low))) | smaller(low, high) | (~greater(high, low))),
% 0.32/0.56 inference(tautology,[status(thm)],[])).
% 0.32/0.56 tff(409,plain,
% 0.32/0.56 ((~(smaller(low, high) <=> greater(high, low))) | smaller(low, high)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[408, 359])).
% 0.32/0.56 tff(410,plain,
% 0.32/0.56 (smaller(low, high)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[409, 407])).
% 0.32/0.56 tff(411,plain,
% 0.32/0.56 ($false),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[410, 405])).
% 0.32/0.56 tff(412,plain,((~(hazard_of_mortality(X!6, T1!4) = high)) | smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))), inference(lemma,lemma(discharge,[]))).
% 0.32/0.56 tff(413,plain,
% 0.32/0.56 (~(hazard_of_mortality(X!6, T1!4) = high)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[412, 345])).
% 0.32/0.56 tff(414,plain,
% 0.32/0.56 (mod2 = hazard_of_mortality(X!6, T1!4)),
% 0.32/0.56 inference(symmetry,[status(thm)],[339])).
% 0.32/0.56 tff(415,assumption,(hazard_of_mortality(X!6, T3!2) = low), introduced(assumption)).
% 0.32/0.56 tff(416,plain,
% 0.32/0.56 (low = hazard_of_mortality(X!6, T3!2)),
% 0.32/0.56 inference(symmetry,[status(thm)],[415])).
% 0.32/0.56 tff(417,plain,
% 0.32/0.56 (smaller(low, mod2) <=> smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.32/0.56 inference(monotonicity,[status(thm)],[416, 414])).
% 0.32/0.56 tff(418,plain,
% 0.32/0.56 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) <=> smaller(low, mod2)),
% 0.32/0.56 inference(symmetry,[status(thm)],[417])).
% 0.32/0.56 tff(419,plain,
% 0.32/0.56 ((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) <=> (~smaller(low, mod2))),
% 0.32/0.56 inference(monotonicity,[status(thm)],[418])).
% 0.32/0.56 tff(420,plain,
% 0.32/0.56 (~smaller(low, mod2)),
% 0.32/0.56 inference(modus_ponens,[status(thm)],[345, 419])).
% 0.32/0.56 tff(421,plain,
% 0.32/0.56 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(low, mod2) <=> greater(mod2, low))),
% 0.32/0.56 inference(quant_inst,[status(thm)],[])).
% 0.32/0.56 tff(422,plain,
% 0.32/0.56 (smaller(low, mod2) <=> greater(mod2, low)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[421, 193])).
% 0.32/0.56 tff(423,plain,
% 0.32/0.56 (greater(mod2, low) <=> greater(mod2, low)),
% 0.32/0.56 inference(rewrite,[status(thm)],[])).
% 0.32/0.56 tff(424,axiom,(greater(mod2, low)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_18e')).
% 0.32/0.56 tff(425,plain,
% 0.32/0.56 (greater(mod2, low)),
% 0.32/0.56 inference(modus_ponens,[status(thm)],[424, 423])).
% 0.32/0.56 tff(426,plain,
% 0.32/0.56 ((~(smaller(low, mod2) <=> greater(mod2, low))) | smaller(low, mod2) | (~greater(mod2, low))),
% 0.32/0.56 inference(tautology,[status(thm)],[])).
% 0.32/0.56 tff(427,plain,
% 0.32/0.56 ((~(smaller(low, mod2) <=> greater(mod2, low))) | smaller(low, mod2)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[426, 425])).
% 0.32/0.56 tff(428,plain,
% 0.32/0.56 (smaller(low, mod2)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[427, 422])).
% 0.32/0.56 tff(429,plain,
% 0.32/0.56 ($false),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[428, 420])).
% 0.32/0.56 tff(430,plain,((~(hazard_of_mortality(X!6, T3!2) = low)) | smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) | (~(hazard_of_mortality(X!6, T1!4) = mod2))), inference(lemma,lemma(discharge,[]))).
% 0.32/0.56 tff(431,plain,
% 0.32/0.56 (~(hazard_of_mortality(X!6, T3!2) = low)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[430, 345, 339])).
% 0.32/0.56 tff(432,plain,
% 0.32/0.56 (very_low = hazard_of_mortality(X!6, T3!2)),
% 0.32/0.56 inference(symmetry,[status(thm)],[348])).
% 0.32/0.56 tff(433,plain,
% 0.32/0.56 (smaller(very_low, mod2) <=> smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.32/0.56 inference(monotonicity,[status(thm)],[432, 414])).
% 0.32/0.56 tff(434,plain,
% 0.32/0.56 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) <=> smaller(very_low, mod2)),
% 0.32/0.56 inference(symmetry,[status(thm)],[433])).
% 0.32/0.56 tff(435,plain,
% 0.32/0.56 ((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) <=> (~smaller(very_low, mod2))),
% 0.32/0.56 inference(monotonicity,[status(thm)],[434])).
% 0.32/0.56 tff(436,plain,
% 0.32/0.56 (~smaller(very_low, mod2)),
% 0.32/0.56 inference(modus_ponens,[status(thm)],[345, 435])).
% 0.32/0.56 tff(437,plain,
% 0.32/0.56 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(very_low, mod2) <=> greater(mod2, very_low))),
% 0.32/0.56 inference(quant_inst,[status(thm)],[])).
% 0.32/0.56 tff(438,plain,
% 0.32/0.56 (smaller(very_low, mod2) <=> greater(mod2, very_low)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[437, 193])).
% 0.32/0.56 tff(439,plain,
% 0.32/0.56 (((~![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)))),
% 0.32/0.56 inference(rewrite,[status(thm)],[])).
% 0.32/0.56 tff(440,plain,
% 0.32/0.56 ((greater(mod2, very_low) | (~greater(low, very_low)) | (~greater(mod2, low))) <=> ((~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low)))),
% 0.32/0.56 inference(rewrite,[status(thm)],[])).
% 0.32/0.56 tff(441,plain,
% 0.32/0.56 (((~![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))))),
% 0.32/0.56 inference(monotonicity,[status(thm)],[440])).
% 0.32/0.56 tff(442,plain,
% 0.32/0.56 (((~![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)))),
% 0.32/0.56 inference(transitivity,[status(thm)],[441, 439])).
% 0.32/0.56 tff(443,plain,
% 0.32/0.56 ((~![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)))),
% 0.32/0.56 inference(quant_inst,[status(thm)],[])).
% 0.32/0.56 tff(444,plain,
% 0.32/0.56 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(low, very_low)) | greater(mod2, very_low) | (~greater(mod2, low))),
% 0.32/0.56 inference(modus_ponens,[status(thm)],[443, 442])).
% 0.32/0.56 tff(445,plain,
% 0.32/0.56 (greater(mod2, very_low)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[444, 169, 198, 425])).
% 0.32/0.56 tff(446,plain,
% 0.32/0.56 ((~(smaller(very_low, mod2) <=> greater(mod2, very_low))) | smaller(very_low, mod2) | (~greater(mod2, very_low))),
% 0.32/0.56 inference(tautology,[status(thm)],[])).
% 0.32/0.56 tff(447,plain,
% 0.32/0.56 ((~(smaller(very_low, mod2) <=> greater(mod2, very_low))) | smaller(very_low, mod2)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[446, 445])).
% 0.32/0.56 tff(448,plain,
% 0.32/0.56 (smaller(very_low, mod2)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[447, 438])).
% 0.32/0.56 tff(449,plain,
% 0.32/0.56 ($false),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[448, 436])).
% 0.32/0.56 tff(450,plain,((~(hazard_of_mortality(X!6, T3!2) = very_low)) | smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) | (~(hazard_of_mortality(X!6, T1!4) = mod2))), inference(lemma,lemma(discharge,[]))).
% 0.32/0.56 tff(451,plain,
% 0.32/0.56 (~(hazard_of_mortality(X!6, T3!2) = very_low)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[450, 345, 339])).
% 0.32/0.56 tff(452,plain,
% 0.32/0.56 (~has_immunity(X!6, T3!2)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[377, 451])).
% 0.32/0.56 tff(453,plain,
% 0.32/0.56 (~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[122, 452])).
% 0.32/0.56 tff(454,assumption,(~(hazard_of_mortality(X!6, T3!2) = mod1)), introduced(assumption)).
% 0.32/0.56 tff(455,assumption,(~((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high))))), introduced(assumption)).
% 0.32/0.56 tff(456,plain,
% 0.32/0.56 ((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[124, 455])).
% 0.32/0.56 tff(457,assumption,(~(hazard_of_mortality(X!6, T3!2) = low)), introduced(assumption)).
% 0.32/0.56 tff(458,plain,
% 0.32/0.56 ((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[380, 455])).
% 0.32/0.56 tff(459,plain,
% 0.32/0.56 (~is_aligned(X!6, T3!2)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[399, 458, 457])).
% 0.32/0.56 tff(460,plain,
% 0.32/0.56 ($false),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[181, 459, 456, 454])).
% 0.32/0.56 tff(461,plain,(((~((~positional_advantage(X!6, T3!2)) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = low))) | (~((~positional_advantage(X!6, T3!2)) | is_aligned(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = mod1))) | (~(positional_advantage(X!6, T3!2) | (~is_aligned(X!6, T3!2)) | (hazard_of_mortality(X!6, T3!2) = mod2))) | (~(is_aligned(X!6, T3!2) | positional_advantage(X!6, T3!2) | (hazard_of_mortality(X!6, T3!2) = high)))) | (hazard_of_mortality(X!6, T3!2) = mod1) | (hazard_of_mortality(X!6, T3!2) = low)), inference(lemma,lemma(discharge,[]))).
% 0.32/0.56 tff(462,plain,
% 0.32/0.56 (hazard_of_mortality(X!6, T3!2) = mod1),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[461, 453, 431])).
% 0.32/0.56 tff(463,plain,
% 0.32/0.56 (mod1 = hazard_of_mortality(X!6, T3!2)),
% 0.32/0.56 inference(symmetry,[status(thm)],[462])).
% 0.32/0.56 tff(464,plain,
% 0.32/0.56 (smaller(mod1, mod2) <=> smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))),
% 0.32/0.56 inference(monotonicity,[status(thm)],[463, 414])).
% 0.32/0.56 tff(465,plain,
% 0.32/0.56 (smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) <=> smaller(mod1, mod2)),
% 0.32/0.56 inference(symmetry,[status(thm)],[464])).
% 0.32/0.56 tff(466,plain,
% 0.32/0.56 ((~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) <=> (~smaller(mod1, mod2))),
% 0.32/0.56 inference(monotonicity,[status(thm)],[465])).
% 0.32/0.56 tff(467,plain,
% 0.32/0.56 (~smaller(mod1, mod2)),
% 0.32/0.56 inference(modus_ponens,[status(thm)],[345, 466])).
% 0.32/0.56 tff(468,plain,
% 0.32/0.56 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(mod1, mod2) <=> greater(mod2, mod1))),
% 0.32/0.56 inference(quant_inst,[status(thm)],[])).
% 0.32/0.56 tff(469,plain,
% 0.32/0.56 (smaller(mod1, mod2) <=> greater(mod2, mod1)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[468, 193])).
% 0.32/0.56 tff(470,plain,
% 0.32/0.56 (greater(mod2, mod1) <=> greater(mod2, mod1)),
% 0.32/0.56 inference(rewrite,[status(thm)],[])).
% 0.32/0.56 tff(471,axiom,(greater(mod2, mod1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','assumption_19')).
% 0.32/0.56 tff(472,plain,
% 0.32/0.56 (greater(mod2, mod1)),
% 0.32/0.56 inference(modus_ponens,[status(thm)],[471, 470])).
% 0.32/0.56 tff(473,plain,
% 0.32/0.56 ((~(smaller(mod1, mod2) <=> greater(mod2, mod1))) | smaller(mod1, mod2) | (~greater(mod2, mod1))),
% 0.32/0.56 inference(tautology,[status(thm)],[])).
% 0.32/0.56 tff(474,plain,
% 0.32/0.56 ((~(smaller(mod1, mod2) <=> greater(mod2, mod1))) | smaller(mod1, mod2)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[473, 472])).
% 0.32/0.56 tff(475,plain,
% 0.32/0.56 (smaller(mod1, mod2)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[474, 469])).
% 0.32/0.56 tff(476,plain,
% 0.32/0.56 ($false),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[475, 467])).
% 0.32/0.56 tff(477,plain,(smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) | (~(hazard_of_mortality(X!6, T1!4) = mod2))), inference(lemma,lemma(discharge,[]))).
% 0.32/0.56 tff(478,plain,
% 0.32/0.56 (~(hazard_of_mortality(X!6, T1!4) = mod2)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[477, 345])).
% 0.32/0.56 tff(479,assumption,(~(hazard_of_mortality(X!6, T1!4) = high)), introduced(assumption)).
% 0.32/0.56 tff(480,assumption,(~((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))))), introduced(assumption)).
% 0.32/0.56 tff(481,plain,
% 0.32/0.56 (((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))) | (is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))),
% 0.32/0.56 inference(tautology,[status(thm)],[])).
% 0.32/0.56 tff(482,plain,
% 0.32/0.56 (is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[481, 480])).
% 0.32/0.56 tff(483,assumption,(~(hazard_of_mortality(X!6, T1!4) = mod2)), introduced(assumption)).
% 0.32/0.56 tff(484,plain,
% 0.32/0.56 (positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[272, 480])).
% 0.32/0.56 tff(485,plain,
% 0.32/0.56 (~is_aligned(X!6, T1!4)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[275, 484, 483])).
% 0.32/0.56 tff(486,plain,
% 0.32/0.56 ((~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))) | is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)),
% 0.32/0.56 inference(tautology,[status(thm)],[])).
% 0.32/0.56 tff(487,plain,
% 0.32/0.56 ((~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high))) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[486, 231])).
% 0.32/0.56 tff(488,plain,
% 0.32/0.56 ($false),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[487, 485, 482, 479])).
% 0.32/0.56 tff(489,plain,(((~((~positional_advantage(X!6, T1!4)) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = low))) | (~((~positional_advantage(X!6, T1!4)) | is_aligned(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = mod1))) | (~(positional_advantage(X!6, T1!4) | (~is_aligned(X!6, T1!4)) | (hazard_of_mortality(X!6, T1!4) = mod2))) | (~(is_aligned(X!6, T1!4) | positional_advantage(X!6, T1!4) | (hazard_of_mortality(X!6, T1!4) = high)))) | (hazard_of_mortality(X!6, T1!4) = high) | (hazard_of_mortality(X!6, T1!4) = mod2)), inference(lemma,lemma(discharge,[]))).
% 0.32/0.56 tff(490,plain,
% 0.32/0.56 ((hazard_of_mortality(X!6, T1!4) = high) | (hazard_of_mortality(X!6, T1!4) = mod2)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[489, 271])).
% 0.32/0.56 tff(491,plain,
% 0.32/0.56 ($false),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[490, 478, 413])).
% 0.32/0.56 tff(492,plain,(smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))), inference(lemma,lemma(discharge,[]))).
% 0.32/0.56 tff(493,plain,
% 0.32/0.56 ((~(~((~smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2))) | (~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))))) <=> ((~smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2))) | (~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))))),
% 0.32/0.56 inference(rewrite,[status(thm)],[])).
% 0.32/0.56 tff(494,plain,
% 0.32/0.56 ((smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2)) & smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) & (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))) <=> (~((~smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2))) | (~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))))),
% 0.32/0.56 inference(rewrite,[status(thm)],[])).
% 0.32/0.56 tff(495,plain,
% 0.32/0.56 ((~(smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2)) & smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) & (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))) <=> (~(~((~smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2))) | (~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))))))),
% 0.32/0.56 inference(monotonicity,[status(thm)],[494])).
% 0.32/0.56 tff(496,plain,
% 0.32/0.56 ((~(smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2)) & smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) & (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))) <=> ((~smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2))) | (~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5))))),
% 0.32/0.56 inference(transitivity,[status(thm)],[495, 493])).
% 0.32/0.56 tff(497,plain,
% 0.32/0.56 (~(smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2)) & smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4)) & (hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))),
% 0.32/0.56 inference(or_elim,[status(thm)],[20])).
% 0.32/0.56 tff(498,plain,
% 0.32/0.56 ((~smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2))) | (~smaller(hazard_of_mortality(X!6, T3!2), hazard_of_mortality(X!6, T1!4))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))),
% 0.32/0.56 inference(modus_ponens,[status(thm)],[497, 496])).
% 0.32/0.56 tff(499,plain,
% 0.32/0.56 ((~smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2))) | (~(hazard_of_mortality(X!6, T1!4) = hazard_of_mortality(X!6, T0!5)))),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[498, 492])).
% 0.32/0.56 tff(500,plain,
% 0.32/0.56 (~smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2))),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[499, 344])).
% 0.32/0.56 tff(501,plain,
% 0.32/0.56 ($false),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[500, 212])).
% 0.32/0.56 tff(502,plain,(~(hazard_of_mortality(X!6, T2!3) = very_low)), inference(lemma,lemma(discharge,[]))).
% 0.32/0.56 tff(503,plain,
% 0.32/0.56 (((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))))))))),
% 0.32/0.56 inference(rewrite,[status(thm)],[])).
% 0.32/0.56 tff(504,plain,
% 0.32/0.56 (((~organization(X!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(positional_advantage(X!6, T2!3) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))))))))) <=> ((~organization(X!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))))))))),
% 0.32/0.56 inference(rewrite,[status(thm)],[])).
% 0.32/0.56 tff(505,plain,
% 0.32/0.56 (((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(positional_advantage(X!6, T2!3) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))))))))))),
% 0.32/0.56 inference(monotonicity,[status(thm)],[504])).
% 0.32/0.56 tff(506,plain,
% 0.32/0.56 (((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(positional_advantage(X!6, T2!3) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))))))))),
% 0.32/0.57 inference(transitivity,[status(thm)],[505, 503])).
% 0.32/0.57 tff(507,plain,
% 0.32/0.57 ((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | ((~organization(X!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(positional_advantage(X!6, T2!3) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))))))))),
% 0.32/0.57 inference(quant_inst,[status(thm)],[])).
% 0.32/0.57 tff(508,plain,
% 0.32/0.57 ((~![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))) | (~((~positional_advantage(X, T)) | is_aligned(X, T) | (hazard_of_mortality(X, T) = mod1))) | (~(positional_advantage(X, T) | (~is_aligned(X, T)) | (hazard_of_mortality(X, T) = mod2))) | (~(positional_advantage(X, T) | is_aligned(X, T) | (hazard_of_mortality(X, T) = high))))))))))) | (~organization(X!6)) | (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))))))))),
% 0.32/0.57 inference(modus_ponens,[status(thm)],[507, 506])).
% 0.32/0.57 tff(509,plain,
% 0.32/0.57 (~((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))))))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[508, 111, 23])).
% 0.32/0.57 tff(510,plain,
% 0.32/0.57 (((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))))))) | ((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(511,plain,
% 0.32/0.57 ((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[510, 509])).
% 0.32/0.57 tff(512,plain,
% 0.32/0.57 ((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low)),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(513,plain,
% 0.32/0.57 ((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[512, 511])).
% 0.32/0.57 tff(514,plain,
% 0.32/0.57 (~has_immunity(X!6, T2!3)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[513, 502])).
% 0.32/0.57 tff(515,plain,
% 0.32/0.57 (((~((~has_immunity(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = very_low))) | (~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))))))) | (has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))))),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(516,plain,
% 0.32/0.57 (has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[515, 509])).
% 0.32/0.57 tff(517,plain,
% 0.32/0.57 ((~(has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))))) | has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))))),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(518,plain,
% 0.32/0.57 (has_immunity(X!6, T2!3) | (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[517, 516])).
% 0.32/0.57 tff(519,plain,
% 0.32/0.57 (~((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high))))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[518, 514])).
% 0.32/0.57 tff(520,plain,
% 0.32/0.57 (((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~((~positional_advantage(X!6, T2!3)) | is_aligned(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = mod1))) | (~(positional_advantage(X!6, T2!3) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = mod2))) | (~(is_aligned(X!6, T2!3) | positional_advantage(X!6, T2!3) | (hazard_of_mortality(X!6, T2!3) = high)))) | ((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(521,plain,
% 0.32/0.57 ((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[520, 519])).
% 0.32/0.57 tff(522,plain,
% 0.32/0.57 ((~![X: $i, T0: $i, T: $i] : (~(((~organization(X)) | (is_aligned(X, T0) <=> is_aligned(X, T))) <=> dissimilar(X, T0, T)))) | (~(((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))) <=> dissimilar(X!6, T0!5, T2!3)))),
% 0.32/0.57 inference(quant_inst,[status(thm)],[])).
% 0.32/0.57 tff(523,plain,
% 0.32/0.57 (~(((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))) <=> dissimilar(X!6, T0!5, T2!3))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[522, 10])).
% 0.32/0.57 tff(524,plain,
% 0.32/0.57 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)))),
% 0.32/0.57 inference(rewrite,[status(thm)],[])).
% 0.32/0.57 tff(525,plain,
% 0.32/0.57 (((greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero))) <=> ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)))),
% 0.32/0.57 inference(rewrite,[status(thm)],[])).
% 0.32/0.57 tff(526,plain,
% 0.32/0.57 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3))))),
% 0.32/0.57 inference(monotonicity,[status(thm)],[525])).
% 0.32/0.57 tff(527,plain,
% 0.32/0.57 (((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))) <=> ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)))),
% 0.32/0.57 inference(transitivity,[status(thm)],[526, 524])).
% 0.32/0.57 tff(528,plain,
% 0.32/0.57 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | ((greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)))),
% 0.32/0.57 inference(quant_inst,[status(thm)],[])).
% 0.32/0.57 tff(529,plain,
% 0.32/0.57 ((~![X: $i, T0: $i, T: $i] : ((greater(age(X, T), sigma) <=> dissimilar(X, T0, T)) | (~organization(X)) | (~(age(X, T0) = zero)))) | (~organization(X!6)) | (~(age(X!6, T0!5) = zero)) | (greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3))),
% 0.32/0.57 inference(modus_ponens,[status(thm)],[528, 527])).
% 0.32/0.57 tff(530,plain,
% 0.32/0.57 (greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[529, 36, 23, 22])).
% 0.32/0.57 tff(531,plain,
% 0.32/0.57 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(age(X!6, T2!3), sigma) <=> greater(sigma, age(X!6, T2!3)))),
% 0.32/0.57 inference(quant_inst,[status(thm)],[])).
% 0.32/0.57 tff(532,plain,
% 0.32/0.57 (smaller(age(X!6, T2!3), sigma) <=> greater(sigma, age(X!6, T2!3))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[531, 193])).
% 0.32/0.57 tff(533,assumption,(greater(age(X!6, T2!3), sigma)), introduced(assumption)).
% 0.32/0.57 tff(534,plain,
% 0.32/0.57 (^[X: $i, Y: $i] : refl(((~greater(X, Y)) | (~greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X))))),
% 0.32/0.57 inference(bind,[status(th)],[])).
% 0.32/0.57 tff(535,plain,
% 0.32/0.57 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.32/0.57 inference(quant_intro,[status(thm)],[534])).
% 0.32/0.57 tff(536,plain,
% 0.32/0.57 (^[X: $i, Y: $i] : trans(monotonicity(rewrite((greater(X, Y) & greater(Y, X)) <=> (~((~greater(X, Y)) | (~greater(Y, X))))), ((~(greater(X, Y) & greater(Y, X))) <=> (~(~((~greater(X, Y)) | (~greater(Y, X))))))), rewrite((~(~((~greater(X, Y)) | (~greater(Y, X))))) <=> ((~greater(X, Y)) | (~greater(Y, X)))), ((~(greater(X, Y) & greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X)))))),
% 0.32/0.57 inference(bind,[status(th)],[])).
% 0.32/0.57 tff(537,plain,
% 0.32/0.57 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.32/0.57 inference(quant_intro,[status(thm)],[536])).
% 0.32/0.57 tff(538,plain,
% 0.32/0.57 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.32/0.57 inference(rewrite,[status(thm)],[])).
% 0.32/0.57 tff(539,axiom,(![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))), file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax','meaning_postulate_greater_strict')).
% 0.32/0.57 tff(540,plain,
% 0.32/0.57 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.32/0.57 inference(modus_ponens,[status(thm)],[539, 538])).
% 0.32/0.57 tff(541,plain,(
% 0.32/0.57 ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.32/0.57 inference(skolemize,[status(sab)],[540])).
% 0.32/0.57 tff(542,plain,
% 0.32/0.57 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.32/0.57 inference(modus_ponens,[status(thm)],[541, 537])).
% 0.32/0.57 tff(543,plain,
% 0.32/0.57 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.32/0.57 inference(modus_ponens,[status(thm)],[542, 535])).
% 0.32/0.57 tff(544,plain,
% 0.32/0.57 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(sigma, age(X!6, T2!3))) | (~greater(age(X!6, T2!3), sigma)))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(sigma, age(X!6, T2!3))) | (~greater(age(X!6, T2!3), sigma)))),
% 0.32/0.57 inference(rewrite,[status(thm)],[])).
% 0.32/0.57 tff(545,plain,
% 0.32/0.57 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(sigma, age(X!6, T2!3))) | (~greater(age(X!6, T2!3), sigma)))),
% 0.32/0.57 inference(quant_inst,[status(thm)],[])).
% 0.32/0.57 tff(546,plain,
% 0.32/0.57 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(sigma, age(X!6, T2!3))) | (~greater(age(X!6, T2!3), sigma))),
% 0.32/0.57 inference(modus_ponens,[status(thm)],[545, 544])).
% 0.32/0.57 tff(547,plain,
% 0.32/0.57 ((~greater(sigma, age(X!6, T2!3))) | (~greater(age(X!6, T2!3), sigma))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[546, 543])).
% 0.32/0.57 tff(548,plain,
% 0.32/0.57 (~greater(sigma, age(X!6, T2!3))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[547, 533])).
% 0.32/0.57 tff(549,plain,
% 0.32/0.57 ((~(smaller(age(X!6, T2!3), sigma) <=> greater(sigma, age(X!6, T2!3)))) | (~smaller(age(X!6, T2!3), sigma)) | greater(sigma, age(X!6, T2!3))),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(550,plain,
% 0.32/0.57 ((~(smaller(age(X!6, T2!3), sigma) <=> greater(sigma, age(X!6, T2!3)))) | (~smaller(age(X!6, T2!3), sigma))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[549, 548])).
% 0.32/0.57 tff(551,plain,
% 0.32/0.57 (~smaller(age(X!6, T2!3), sigma)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[550, 532])).
% 0.32/0.57 tff(552,plain,
% 0.32/0.57 ((~![X: $i, Y: $i] : (smaller_or_equal(X, Y) <=> ((X = Y) | smaller(X, Y)))) | (smaller_or_equal(age(X!6, T2!3), sigma) <=> ((age(X!6, T2!3) = sigma) | smaller(age(X!6, T2!3), sigma)))),
% 0.32/0.57 inference(quant_inst,[status(thm)],[])).
% 0.32/0.57 tff(553,plain,
% 0.32/0.57 (smaller_or_equal(age(X!6, T2!3), sigma) <=> ((age(X!6, T2!3) = sigma) | smaller(age(X!6, T2!3), sigma))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[552, 316])).
% 0.32/0.57 tff(554,plain,
% 0.32/0.57 (smaller_or_equal(age(X!6, T2!3), sigma)),
% 0.32/0.57 inference(and_elim,[status(thm)],[21])).
% 0.32/0.57 tff(555,plain,
% 0.32/0.57 ((~(smaller_or_equal(age(X!6, T2!3), sigma) <=> ((age(X!6, T2!3) = sigma) | smaller(age(X!6, T2!3), sigma)))) | (~smaller_or_equal(age(X!6, T2!3), sigma)) | ((age(X!6, T2!3) = sigma) | smaller(age(X!6, T2!3), sigma))),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(556,plain,
% 0.32/0.57 ((~(smaller_or_equal(age(X!6, T2!3), sigma) <=> ((age(X!6, T2!3) = sigma) | smaller(age(X!6, T2!3), sigma)))) | ((age(X!6, T2!3) = sigma) | smaller(age(X!6, T2!3), sigma))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[555, 554])).
% 0.32/0.57 tff(557,plain,
% 0.32/0.57 ((age(X!6, T2!3) = sigma) | smaller(age(X!6, T2!3), sigma)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[556, 553])).
% 0.32/0.57 tff(558,plain,
% 0.32/0.57 ((~((age(X!6, T2!3) = sigma) | smaller(age(X!6, T2!3), sigma))) | (age(X!6, T2!3) = sigma) | smaller(age(X!6, T2!3), sigma)),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(559,plain,
% 0.32/0.57 ((age(X!6, T2!3) = sigma) | smaller(age(X!6, T2!3), sigma)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[558, 557])).
% 0.32/0.57 tff(560,plain,
% 0.32/0.57 (age(X!6, T2!3) = sigma),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[559, 551])).
% 0.32/0.57 tff(561,plain,
% 0.32/0.57 (sigma = age(X!6, T2!3)),
% 0.32/0.57 inference(symmetry,[status(thm)],[560])).
% 0.32/0.57 tff(562,plain,
% 0.32/0.57 (greater(sigma, age(X!6, T2!3)) <=> greater(age(X!6, T2!3), sigma)),
% 0.32/0.57 inference(monotonicity,[status(thm)],[561, 560])).
% 0.32/0.57 tff(563,plain,
% 0.32/0.57 (greater(age(X!6, T2!3), sigma) <=> greater(sigma, age(X!6, T2!3))),
% 0.32/0.57 inference(symmetry,[status(thm)],[562])).
% 0.32/0.57 tff(564,plain,
% 0.32/0.57 (greater(sigma, age(X!6, T2!3))),
% 0.32/0.57 inference(modus_ponens,[status(thm)],[533, 563])).
% 0.32/0.57 tff(565,plain,
% 0.32/0.57 ($false),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[548, 564])).
% 0.32/0.57 tff(566,plain,(~greater(age(X!6, T2!3), sigma)), inference(lemma,lemma(discharge,[]))).
% 0.32/0.57 tff(567,plain,
% 0.32/0.57 ((~(greater(age(X!6, T2!3), sigma) <=> dissimilar(X!6, T0!5, T2!3))) | greater(age(X!6, T2!3), sigma) | (~dissimilar(X!6, T0!5, T2!3))),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(568,plain,
% 0.32/0.57 (~dissimilar(X!6, T0!5, T2!3)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[567, 566, 530])).
% 0.32/0.57 tff(569,plain,
% 0.32/0.57 ((((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))) <=> dissimilar(X!6, T0!5, T2!3)) | ((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))) | dissimilar(X!6, T0!5, T2!3)),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(570,plain,
% 0.32/0.57 ((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[569, 568, 523])).
% 0.32/0.57 tff(571,plain,
% 0.32/0.57 ((~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3)))) | (~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(572,plain,
% 0.32/0.57 ((~((~organization(X!6)) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3)))) | (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[571, 23])).
% 0.32/0.57 tff(573,plain,
% 0.32/0.57 (is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[572, 570])).
% 0.32/0.57 tff(574,plain,
% 0.32/0.57 ((~(is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))) | (~is_aligned(X!6, T0!5)) | is_aligned(X!6, T2!3)),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(575,plain,
% 0.32/0.57 ((~(is_aligned(X!6, T0!5) <=> is_aligned(X!6, T2!3))) | is_aligned(X!6, T2!3)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[574, 72])).
% 0.32/0.57 tff(576,plain,
% 0.32/0.57 (is_aligned(X!6, T2!3)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[575, 573])).
% 0.32/0.57 tff(577,plain,
% 0.32/0.57 ((~![T: $i] : (~((~((~positional_advantage(X!6, T)) | (~smaller_or_equal(age(X!6, T), tau)))) | (~((~greater(age(X!6, T), tau)) | positional_advantage(X!6, T)))))) | (~((~((~positional_advantage(X!6, T2!3)) | (~smaller_or_equal(age(X!6, T2!3), tau)))) | (~((~greater(age(X!6, T2!3), tau)) | positional_advantage(X!6, T2!3)))))),
% 0.32/0.57 inference(quant_inst,[status(thm)],[])).
% 0.32/0.57 tff(578,plain,
% 0.32/0.57 (~((~((~positional_advantage(X!6, T2!3)) | (~smaller_or_equal(age(X!6, T2!3), tau)))) | (~((~greater(age(X!6, T2!3), tau)) | positional_advantage(X!6, T2!3))))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[577, 152])).
% 0.32/0.57 tff(579,plain,
% 0.32/0.57 (((~((~positional_advantage(X!6, T2!3)) | (~smaller_or_equal(age(X!6, T2!3), tau)))) | (~((~greater(age(X!6, T2!3), tau)) | positional_advantage(X!6, T2!3)))) | ((~greater(age(X!6, T2!3), tau)) | positional_advantage(X!6, T2!3))),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(580,plain,
% 0.32/0.57 ((~greater(age(X!6, T2!3), tau)) | positional_advantage(X!6, T2!3)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[579, 578])).
% 0.32/0.57 tff(581,plain,
% 0.32/0.57 (greater(age(X!6, T2!3), tau)),
% 0.32/0.57 inference(and_elim,[status(thm)],[21])).
% 0.32/0.57 tff(582,plain,
% 0.32/0.57 ((~((~greater(age(X!6, T2!3), tau)) | positional_advantage(X!6, T2!3))) | (~greater(age(X!6, T2!3), tau)) | positional_advantage(X!6, T2!3)),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(583,plain,
% 0.32/0.57 ((~((~greater(age(X!6, T2!3), tau)) | positional_advantage(X!6, T2!3))) | positional_advantage(X!6, T2!3)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[582, 581])).
% 0.32/0.57 tff(584,plain,
% 0.32/0.57 (positional_advantage(X!6, T2!3)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[583, 580])).
% 0.32/0.57 tff(585,plain,
% 0.32/0.57 ((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low)),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(586,plain,
% 0.32/0.57 ((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[585, 584])).
% 0.32/0.57 tff(587,plain,
% 0.32/0.57 ((~((~positional_advantage(X!6, T2!3)) | (~is_aligned(X!6, T2!3)) | (hazard_of_mortality(X!6, T2!3) = low))) | (hazard_of_mortality(X!6, T2!3) = low)),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[586, 576])).
% 0.32/0.57 tff(588,plain,
% 0.32/0.57 (hazard_of_mortality(X!6, T2!3) = low),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[587, 521])).
% 0.32/0.57 tff(589,plain,
% 0.32/0.57 (smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2)) <=> smaller(low, mod1)),
% 0.32/0.57 inference(monotonicity,[status(thm)],[588, 183])).
% 0.32/0.57 tff(590,plain,
% 0.32/0.57 (smaller(low, mod1) <=> smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2))),
% 0.32/0.57 inference(symmetry,[status(thm)],[589])).
% 0.32/0.57 tff(591,plain,
% 0.32/0.57 ((~![X: $i, Y: $i] : (smaller(X, Y) <=> greater(Y, X))) | (smaller(low, mod1) <=> greater(mod1, low))),
% 0.32/0.58 inference(quant_inst,[status(thm)],[])).
% 0.32/0.58 tff(592,plain,
% 0.32/0.58 (smaller(low, mod1) <=> greater(mod1, low)),
% 0.32/0.58 inference(unit_resolution,[status(thm)],[591, 193])).
% 0.32/0.58 tff(593,plain,
% 0.32/0.58 ((~(smaller(low, mod1) <=> greater(mod1, low))) | smaller(low, mod1) | (~greater(mod1, low))),
% 0.32/0.58 inference(tautology,[status(thm)],[])).
% 0.32/0.58 tff(594,plain,
% 0.32/0.58 ((~(smaller(low, mod1) <=> greater(mod1, low))) | smaller(low, mod1)),
% 0.32/0.58 inference(unit_resolution,[status(thm)],[593, 201])).
% 0.32/0.58 tff(595,plain,
% 0.32/0.58 (smaller(low, mod1)),
% 0.32/0.58 inference(unit_resolution,[status(thm)],[594, 592])).
% 0.32/0.58 tff(596,plain,
% 0.32/0.58 (smaller(hazard_of_mortality(X!6, T2!3), hazard_of_mortality(X!6, T3!2))),
% 0.32/0.58 inference(modus_ponens,[status(thm)],[595, 590])).
% 0.32/0.58 tff(597,plain,
% 0.32/0.58 ($false),
% 0.32/0.58 inference(unit_resolution,[status(thm)],[500, 596])).
% 0.32/0.58 % SZS output end Proof
% 0.32/0.58 % E exiting
%------------------------------------------------------------------------------